Gibson, from Hartlepool, is banned from using the name "Peter" on the internet. Weatherhead, from Northampton, is prohibited from using "Nerdo"; Rhodes, from Kennington, south London, cannot use "NikonElite", and the 17-year-old, from Chester, is also banned from using his online nickname. The four men are also banned using so-called "internet relay chat", the online forums where Anonymous members are alleged to have coordinated many of the attacks.
The four men are separately charged with conspiracy to carry out an unauthorised act in relation to a computer. They were arrested earlier this year by police investigating online attacks by the well known hacking groups Anonymous and LulzSec.
Rhodes, the oldest of the group who was arrested in September, appeared in court dressed in a grey waistcoat over a black shirt, with short dark hair.
Weatherhead, who was also arrested in September, wore a blue shirt under a short black jacket. Gibson has been on police bail since his arrest in April. He wore a smart grey suit, with a white open-necked shirt.
They will appear at Southwark crown court on 18 November for a plea and case management hearing.
Two other men, aged 24 and 20, have been released on bail following their arrest last week as part of the Metropolitan police investigation into Anonymous and LulzSec.
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