Finite Group Databasebeta

← Group #11795092

Character table — Group #11795092

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
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order1222222233444466666666666666121212121212121236666666888812121212121212121212121224242424242424242424242424242424242424242424242424242424242424244444888812121212121212122424242424242424444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ92222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-200002222-2-2-2-2000000000000000000000000
χ102222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2220000-2-2-2-22222000000000000000000000000
χ11222222222-122222222-1-1-1-12-122-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
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χ13222222222-122222222-1-1-1-12-122-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100000000000000000000000022-2-2-1-1-1-111110000
χ14222222222-122222222-1-1-1-12-122-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000000000000000000000-2-2221111-1-1-1-10000
χ1522222222-122222-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ1622222222-122222-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ1722222222-122222-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-211111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ1822222222-122222-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ1922222222-12-2-2-2-2-1-1-1-12222-12-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−322-2-20000-1-1-1-111113333−3−3−3−30000000000000000
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χ2222222222-12-2-2-2-2-1-1-1-12222-12-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−333333333-2-22200001111-1-1-1-13333−3−3−3−30000000000000000
χ23222-22-2-2-2222-22-222-2-222-2-222-2-2-2-222-2-222-2-2222-2-2-2-2222-2-22-2-222-2-2-2-222222-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ24222-22-2-2-2222-22-222-2-222-2-222-2-2-2-222-2-222-2-2222-2-2-2-22-2-2222-2-222-2-2-2-2222-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ25222-22-2-2-222-22-2222-2-222-2-222-2-2-2-2-2-222-2-222222-2-2-2-220000-222-2-22222-2-2-200000000000000000000000000000000000022-2-20000000022-2-222-2-20000000000000000
χ26222-22-2-2-222-22-2222-2-222-2-222-2-2-2-2-2-222-2-222222-2-2-2-220000-222-2-22222-2-2-2000000000000000000000000000000000000-2-22200000000-2-222-2-2220000000000000000
χ27222-22-2-2-22-12-22-222-2-2-1-1112-1-2-21122-2-222-2-2-1-1-11111-122-2-2-111-1-11111-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000000000000000000033−3−333−3−30000
χ28222-22-2-2-22-12-22-222-2-2-1-1112-1-2-21122-2-222-2-2-1-1-11111-122-2-2-111-1-11111-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111110000000000000000000000000000−3−333−3−3330000
χ29222-22-2-2-22-12-22-222-2-2-1-1112-1-2-21122-2-222-2-2-1-1-11111-1-2-222-111-1-11111-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000000033−3−3−3−3330000
χ30222-22-2-2-22-12-22-222-2-2-1-1112-1-2-21122-2-222-2-2-1-1-11111-1-2-222-111-1-11111-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000−3−33333−3−30000
χ31222-22-2-2-2-122-22-2-1-11122-2-2-1211-2-2-1-111-1-111-1-1-11111-122-2-22-2-2-1-111112-1-1-1-111-1-1112222-2-2-2-2-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−3−3−3330000000000000000
χ32222-22-2-2-2-122-22-2-1-11122-2-2-1211-2-2-1-111-1-111-1-1-11111-122-2-22-2-2-1-111112-1-1-1-111-1-1112222-2-2-2-2-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−33333−3−30000000000000000
χ33222-22-2-2-2-122-22-2-1-11122-2-2-1211-2-2-1-111-1-111-1-1-11111-1-2-2222-2-2-1-111112-1-111-1-111-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−33333−3−30000000000000000
χ34222-22-2-2-2-122-22-2-1-11122-2-2-1211-2-2-1-111-1-111-1-1-11111-1-2-2222-2-2-1-111112-1-111-1-111-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−3−3−3330000000000000000
χ35222-22-2-2-2-12-22-22-1-11122-2-2-1211-2-211-1-111-1-1-1-1-11111-10000-22211-1-1-1-1-21133−3−3−3−333000000003333−3−3−3−3−3−3−3−33333000022-2-2−3−33333−3−3-1-111-1-1110000000000000000
χ36222-22-2-2-2-12-22-22-1-11122-2-2-1211-2-211-1-111-1-1-1-1-11111-10000-22211-1-1-1-1-21133−3−3−3−333000000003333−3−3−3−3−3−3−3−333330000-2-22233−3−3−3−33311-1-111-1-10000000000000000
χ37222-22-2-2-2-12-22-22-1-11122-2-2-1211-2-211-1-111-1-1-1-1-11111-10000-22211-1-1-1-1-211−3−33333−3−300000000−3−3−3−333333333−3−3−3−3000022-2-233−3−3−3−333-1-111-1-1110000000000000000
χ38222-22-2-2-2-12-22-22-1-11122-2-2-1211-2-211-1-111-1-1-1-1-11111-10000-22211-1-1-1-1-211−3−33333−3−300000000−3−3−3−333333333−3−3−3−30000-2-222−3−33333−3−311-1-111-1-10000000000000000
χ3922-22-22-2-22200002-22-22-222-2-22-2-2-20000000022-222-2-2-22−22−20000000000002−22−22−22−222−2−222−2−222−2−222−2−222−2−222−2−22-2002−22−22-22-200002−22−22−22−20000000000000000
χ4022-22-22-2-22200002-22-22-222-2-22-2-2-20000000022-222-2-2-22−22−20000000000002−22−22−22−222−2−222−2−222−2−222−2−222−2−222−2−2-2200−22−22-22-220000−22−22−22−220000000000000000
χ4122-22-22-2-22200002-22-22-222-2-22-2-2-20000000022-222-2-2-2−22−22000000000000−22−22−22−22−2−222−2−222−2−222−2−222−2−222−2−2222-200−22−222-22-20000−22−22−22−220000000000000000
χ4222-22-22-2-22200002-22-22-222-2-22-2-2-20000000022-222-2-2-2−22−22000000000000−22−22−22−22−2−222−2−222−2−222−2−222−2−222−2−222-22002−22−2-22-2200002−22−22−22−20000000000000000
χ4322-22-22-2-2-120000-11-112-2221-2-11-2-23−33−33−33−3-1-11-1-11112−22−20003−333−3−303−3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2322−2−222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ232-2002−22−2-11-113−33−3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230000000000000000
χ4422-22-22-2-2-120000-11-112-2221-2-11-2-23−33−33−33−3-1-11-1-11112−22−20003−333−3−303−3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2322−2−222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23-2200−22−221-11-1−33−33−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230000000000000000
χ4522-22-22-2-2-120000-11-112-2221-2-11-2-23−33−33−33−3-1-11-1-1111−22−220003−333−3−303−3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−2−222−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ232-200−22−22-11-113−33−3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230000000000000000
χ4622-22-22-2-2-120000-11-112-2221-2-11-2-23−33−33−33−3-1-11-1-1111−22−220003−333−3−303−3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−2−222−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23-22002−22−21-11-1−33−33ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230000000000000000
χ4722-22-22-2-2-120000-11-112-2221-2-11-2-2−33−33−33−33-1-11-1-11112−22−2000−33−3−3330−33ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ722−2−222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ72-2002−22−2-11-11−33−33ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70000000000000000
χ4822-22-22-2-2-120000-11-112-2221-2-11-2-2−33−33−33−33-1-11-1-11112−22−2000−33−3−3330−33ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ722−2−222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7-2200−22−221-11-13−33−3−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70000000000000000
χ4922-22-22-2-2-120000-11-112-2221-2-11-2-2−33−33−33−33-1-11-1-1111−22−22000−33−3−3330−33−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−2−222−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ72-200−22−22-11-11−33−33−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70000000000000000
χ5022-22-22-2-2-120000-11-112-2221-2-11-2-2−33−33−33−33-1-11-1-1111−22−22000−33−3−3330−33−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−2−222−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7-22002−22−21-11-13−33−3ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70000000000000000
χ5122-2-2-2-2222200002-2-222-2-2-2-2-2-22220000000022-2-2-222-22−2−220000000000002−2−222−2−2222−2−2−2−22222−2−2−2−22222−2−2−2−222002-22−2−2200002-2-222−2−222−2−220000000000000000
χ5222-2-2-2-2222200002-2-222-2-2-2-2-2-22220000000022-2-2-222-22−2−220000000000002−2−222−2−2222−2−2−2−22222−2−2−2−22222−2−2−2−22200-22−222−20000-222-2−222−2−222−20000000000000000
χ5322-2-2-2-2222200002-2-222-2-2-2-2-2-22220000000022-2-2-222-2−222−2000000000000−222−2−222−2−2−22222−2−2−2−22222−2−2−2−22222−2−2002-2−222−200002-2-22−222−2−222−20000000000000000
χ5422-2-2-2-2222200002-2-222-2-2-2-2-2-22220000000022-2-2-222-2−222−2000000000000−222−2−222−2−2−22222−2−2−2−22222−2−2−2−22222−2−200-222−2−220000-222-22−2−222−2−220000000000000000
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χ1324-4-4-4444-4-2-2-444-42222222-2-2-2-2-22-222-2-2-2-2221-1-1-11-11100002-22-1-11-11-1-2110000000000000000-33-333-33-33-33-3-33-330000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.