Finite Group Databasebeta

← Group #11859933

Character table — Group #11859933

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size14499914499928818181828818181828818181841616363636416163636361449991449992881818182881818182881818184161636363641616363636
order13324426624441212444824248888242488841212444412124442662442662444121244482424888824248884121244441212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1
χ3111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i
χ4111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii
χ541-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-2000
χ64-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-21000
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ81111-1-11111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111
χ9111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii
χ10111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i
χ1141-200041-200041-200041-200041-2000-4-12000-4-1200041-200041-200041-200041-200041-2000-4-12000-4-12000
χ124-210004-210004-210004-210004-21000-42-1000-42-10004-210004-210004-210004-210004-21000-42-1000-42-1000
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ141111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111
χ15111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii111-1i−i-1-1-11−ii111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii111-1i−i-1-1-11−ii
χ16111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i111-1−ii-1-1-11i−i111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i111-1−ii-1-1-11i−i
χ1741-200041-200041-2000-4-12000-4-1200041-2000-4-1200041-200041-200041-2000-4-12000-4-1200041-2000-4-12000
χ184-210004-210004-21000-42-1000-42-10004-21000-42-10004-210004-210004-21000-42-1000-42-10004-21000-42-1000
χ19111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ201111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1
χ21111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii111-1i−i
χ22111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i111-1−ii
χ2341-200041-200041-2000-4-12000-4-12000-4-1200041-200041-200041-200041-2000-4-12000-4-12000-4-1200041-2000
χ244-210004-210004-21000-42-1000-42-1000-42-10004-210004-210004-210004-21000-42-1000-42-1000-42-10004-21000
χ25222222222222-2-2-2-2-2-2000000000000000000000000222222222222-2-2-2-2-2-2000000000000000000000000
χ262222-2-22222-2-2-2-2-2-2220000000000000000000000002222-2-22222-2-2-2-2-2-222000000000000000000000000
χ27222-22i−2i222-22i−2i-2-2-22−2i2i000000000000000000000000222-22i−2i222-22i−2i-2-2-22−2i2i000000000000000000000000
χ28222-2−2i2i222-2−2i2i-2-2-222i−2i000000000000000000000000222-2−2i2i222-2−2i2i-2-2-222i−2i000000000000000000000000
χ2982-400082-4000-8-2400000000000000000000000000082-400082-4000-8-24000000000000000000000000000
χ308-420008-42000-84-20000000000000000000000000008-420008-42000-84-2000000000000000000000000000
χ31222222-2-2-2-2-2-2000000222222−2−2−2−2−2−2000000000000222222-2-2-2-2-2-2000000222222−2−2−2−2−2−2000000000000
χ322222-2-2-2-2-2-2220000002222−2−2−2−2−2−2220000000000002222-2-2-2-2-2-2220000002222−2−2−2−2−2−222000000000000
χ33222-22i−2i-2-2-22−2i2i000000222−2i2−i2−2−2−22−i2i2000000000000222-22i−2i-2-2-22−2i2i000000222−2i2−i2−2−2−22−i2i2000000000000
χ34222-2−2i2i-2-2-222i−2i000000222−2−i2i2−2−2−22i2−i2000000000000222-2−2i2i-2-2-222i−2i000000222−2−i2i2−2−2−22i2−i2000000000000
χ3582-4000-8-24000000000422−22000−42−22200000000000000082-4000-8-24000000000422−22000−42−222000000000000000
χ368-42000-84-200000000042−222000−4222−20000000000000008-42000-84-200000000042−222000−4222−2000000000000000
χ37222222-2-2-2-2-2-2000000−2−2−2−2−2−2222222000000000000222222-2-2-2-2-2-2000000−2−2−2−2−2−2222222000000000000
χ382222-2-2-2-2-2-222000000−2−2−2−2222222−2−20000000000002222-2-2-2-2-2-222000000−2−2−2−2222222−2−2000000000000
χ39222-22i−2i-2-2-22−2i2i000000−2−2−22−i2i2222−2i2−i2000000000000222-22i−2i-2-2-22−2i2i000000−2−2−22−i2i2222−2i2−i2000000000000
χ40222-2−2i2i-2-2-222i−2i000000−2−2−22i2−i2222−2−i2i2000000000000222-2−2i2i-2-2-222i−2i000000−2−2−22i2−i2222−2−i2i2000000000000
χ4182-4000-8-24000000000−42−222000422−2200000000000000082-4000-8-24000000000−42−222000422−22000000000000000
χ428-42000-84-2000000000−4222−200042−2220000000000000008-42000-84-2000000000−4222−200042−222000000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111
χ45111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii
χ46111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i
χ4741-200041-200041-200041-200041-200041-200041-2000-4-12000-4-12000-4-12000-4-12000-4-12000-4-12000-4-12000
χ484-210004-210004-210004-210004-210004-210004-21000-42-1000-42-1000-42-1000-42-1000-42-1000-42-1000-42-1000
χ49111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ501111-1-11111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-1
χ51111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i
χ52111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii
χ5341-200041-200041-200041-200041-2000-4-12000-4-12000-4-12000-4-12000-4-12000-4-12000-4-1200041-200041-2000
χ544-210004-210004-210004-210004-21000-42-1000-42-1000-42-1000-42-1000-42-1000-42-1000-42-10004-210004-21000
χ55111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111
χ561111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-1
χ57111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i-1-1-11−ii111-1i−i
χ58111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii-1-1-11i−i111-1−ii
χ5941-200041-200041-2000-4-12000-4-1200041-2000-4-12000-4-12000-4-12000-4-1200041-200041-2000-4-1200041-2000
χ604-210004-210004-21000-42-1000-42-10004-21000-42-1000-42-1000-42-1000-42-10004-210004-21000-42-10004-21000
χ61111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ621111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111
χ63111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i111-1i−i-1-1-11−ii
χ64111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii111-1−ii-1-1-11i−i
χ6541-200041-200041-2000-4-12000-4-12000-4-1200041-2000-4-12000-4-12000-4-1200041-200041-200041-2000-4-12000
χ664-210004-210004-21000-42-1000-42-1000-42-10004-21000-42-1000-42-1000-42-10004-210004-210004-21000-42-1000
χ67222222222222-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000
χ682222-2-22222-2-2-2-2-2-222000000000000000000000000-2-2-2-222-2-2-2-2222222-2-2000000000000000000000000
χ69222-22i−2i222-22i−2i-2-2-22−2i2i000000000000000000000000-2-2-22−2i2i-2-2-22−2i2i222-22i−2i000000000000000000000000
χ70222-2−2i2i222-2−2i2i-2-2-222i−2i000000000000000000000000-2-2-222i−2i-2-2-222i−2i222-2−2i2i000000000000000000000000
χ7182-400082-4000-8-24000000000000000000000000000-8-24000-8-2400082-4000000000000000000000000000
χ728-420008-42000-84-2000000000000000000000000000-84-2000-84-20008-42000000000000000000000000000
χ73222222-2-2-2-2-2-2000000222222−2−2−2−2−2−2000000000000-2-2-2-2-2-2222222000000−2−2−2−2−2−2222222000000000000
χ742222-2-2-2-2-2-2220000002222−2−2−2−2−2−222000000000000-2-2-2-2222222-2-2000000−2−2−2−2222222−2−2000000000000
χ75222-22i−2i-2-2-22−2i2i000000222−2i2−i2−2−2−22−i2i2000000000000-2-2-22−2i2i222-22i−2i000000−2−2−22−i2i2222−2i2−i2000000000000
χ76222-2−2i2i-2-2-222i−2i000000222−2−i2i2−2−2−22i2−i2000000000000-2-2-222i−2i222-2−2i2i000000−2−2−22i2−i2222−2−i2i2000000000000
χ7782-4000-8-24000000000422−22000−42−222000000000000000-8-2400082-4000000000−42−222000422−22000000000000000
χ788-42000-84-200000000042−222000−4222−2000000000000000-84-20008-42000000000−4222−200042−222000000000000000
χ79222222-2-2-2-2-2-2000000−2−2−2−2−2−2222222000000000000-2-2-2-2-2-2222222000000222222−2−2−2−2−2−2000000000000
χ802222-2-2-2-2-2-222000000−2−2−2−2222222−2−2000000000000-2-2-2-2222222-2-20000002222−2−2−2−2−2−222000000000000
χ81222-22i−2i-2-2-22−2i2i000000−2−2−22−i2i2222−2i2−i2000000000000-2-2-22−2i2i222-22i−2i000000222−2i2−i2−2−2−22−i2i2000000000000
χ82222-2−2i2i-2-2-222i−2i000000−2−2−22i2−i2222−2−i2i2000000000000-2-2-222i−2i222-2−2i2i000000222−2−i2i2−2−2−22i2−i2000000000000
χ8382-4000-8-24000000000−42−222000422−22000000000000000-8-2400082-4000000000422−22000−42−222000000000000000
χ848-42000-84-2000000000−4222−200042−222000000000000000-84-20008-4200000000042−222000−4222−2000000000000000

Here i is the imaginary unit (i² = −1).