Finite Group Databasebeta

← Group #11786464

Character table — Group #11786464

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order12222222334444666666666666663444466666661212121212121212121212121212121222226666666612121212121212121212121212121212444444888812121212121212121212121224242424242424244412121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ9111-11-1-1-111-1-11111-1-111-1-1-11-11-1-11ii−i−i11-1-1-11-11-1-111-1-1iiii−i−i−i−i111-1-11111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i1-1ii−i−i11-1-111-1-1iiii−i−i−i−i1111-1-1-1-1i−iii−i−i11-1-1i−i
χ10111-11-1-1-111-1-11111-1-111-1-1-11-11-1-11ii−i−i11-1-1-11-11-1-111-1-1iiii−i−i−i−i111-1-11111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i1-1ii−i−i-1-11111-1-1iiii−i−i−i−i-1-1-1-11111−ii−i−iii-1-111−ii
χ11111-11-1-1-111-1-11111-1-111-1-1-11-11-1-11ii−i−i11-1-1-11-11-1-111-1-1iiii−i−i−i−i1-1-111-1-1-1-11111ii−i−i11-1-1iiii−i−i−i−i-11−i−iii11-1-1-1-111−i−i−i−iiiii1111-1-1-1-1i−iii−i−i-1-111−ii
χ12111-11-1-1-111-1-11111-1-111-1-1-11-11-1-11ii−i−i11-1-1-11-11-1-111-1-1iiii−i−i−i−i1-1-111-1-1-1-11111ii−i−i11-1-1iiii−i−i−i−i-11−i−iii-1-111-1-111−i−i−i−iiiii-1-1-1-11111−ii−i−iii11-1-1i−i
χ13111-11-1-1-111-1-11111-1-111-1-1-11-11-1-11−i−iii11-1-1-11-11-1-111-1-1−i−i−i−iiiii111-1-11111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii1-1−i−iii11-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−ii−i−iii11-1-1−ii
χ14111-11-1-1-111-1-11111-1-111-1-1-11-11-1-11−i−iii11-1-1-11-11-1-111-1-1−i−i−i−iiiii111-1-11111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii1-1−i−iii-1-11111-1-1−i−i−i−iiiii-1-1-1-11111i−iii−i−i-1-111i−i
χ15111-11-1-1-111-1-11111-1-111-1-1-11-11-1-11−i−iii11-1-1-11-11-1-111-1-1−i−i−i−iiiii1-1-111-1-1-1-11111−i−iii11-1-1−i−i−i−iiiii-11ii−i−i11-1-1-1-111iiii−i−i−i−i1111-1-1-1-1−ii−i−iii-1-111i−i
χ16111-11-1-1-111-1-11111-1-111-1-1-11-11-1-11−i−iii11-1-1-11-11-1-111-1-1−i−i−i−iiiii1-1-111-1-1-1-11111−i−iii11-1-1−i−i−i−iiiii-11ii−i−i-1-111-1-111iiii−i−i−i−i-1-1-1-11111i−iii−i−i11-1-1−ii
χ172222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-200000000-22222222222220000-2-2-2-200000000-2-200000000-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-200000000220000000022220000000000000000000000000000
χ19222222222-122222222-1-1-1-1-122-12-1-12222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-122222222-1-1-1-1-122-12-1-12222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000011111111111100000000000000000000
χ21222222222-122222222-1-1-1-1-122-12-1-1-2-2-2-2-1-1-1-1-1-1-1222-1-1-1-11111111122222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-2-20000-1-1-1-11111111100000000000000000000
χ22222222222-122222222-1-1-1-1-122-12-1-1-2-2-2-2-1-1-1-1-1-1-1222-1-1-1-1111111112-2-2-2-211111111-2-2-2-2-1-1-1-111111111-2-2222200001111-1-1-1-1-1-1-1-100000000000000000000
χ23222222222-1-2-2-2-22222-1-1-1-1-122-12-1-10000-1-1-1-1-1-1-1-2-2-21111−i3−i3i3i3−i3−i3i3i3-22222-1-1-1-1-1-1-1-100001111−i3−i3i3i3−i3−i3i3i3-2-2000000001111−i3−i3i3i3−i3−i3i3i300000000000000000000
χ24222222222-1-2-2-2-22222-1-1-1-1-122-12-1-10000-1-1-1-1-1-1-1-2-2-21111−i3−i3i3i3−i3−i3i3i3-2-2-2-2-21111111100001111−i3−i3i3i3−i3−i3i3i32200000000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000
χ25222222222-1-2-2-2-22222-1-1-1-1-122-12-1-10000-1-1-1-1-1-1-1-2-2-21111i3i3−i3−i3i3i3−i3−i3-22222-1-1-1-1-1-1-1-100001111i3i3−i3−i3i3i3−i3−i3-2-2000000001111i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-22222-1-1-1-1-122-12-1-10000-1-1-1-1-1-1-1-2-2-21111i3i3−i3−i3i3i3−i3−i3-2-2-2-2-21111111100001111i3i3−i3−i3i3i3−i3−i32200000000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-122222-1-1-1-122222-1-12-12-12222-1-1-1-1-1-1-1-1-1-1222222222222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ2822222222-122222-1-1-1-122222-1-12-12-12222-1-1-1-1-1-1-1-1-1-1222222222222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000011111111-2-21111000000
χ2922222222-122222-1-1-1-122222-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-10000000000001111-1-1-1-1111111110000002222000000000000-1-1-1-1-1-1-1-1-2-21111000000
χ3022222222-122222-1-1-1-122222-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-10000000000001111-1-1-1-111111111000000-2-2-2-20000000000001111111122-1-1-1-1000000
χ31222-22-2-2-22222-2-222-2-222-2-2-22-22-2-22000022-2-2-22-2-222-2-22200000000-222-2-22222-2-2-2-20000-2-22200000000-2200000000-2-2220000000000000000000000000000
χ32222-22-2-2-22222-2-222-2-222-2-2-22-22-2-22000022-2-2-22-2-222-2-22200000000-2-2-222-2-2-2-222220000-2-222000000002-20000000022-2-20000000000000000000000000000
χ33222-22-2-2-22-122-2-222-2-2-1-11112-2-1-21-10000-1-1111-11-22211-1-133−3−3−3−333-222-2-2-1-1-1-11111000011-1-133−3−3−3−333-220000000011-1-133−3−3−3−33300000000000000000000
χ34222-22-2-2-22-122-2-222-2-2-1-11112-2-1-21-10000-1-1111-11-22211-1-133−3−3−3−333-2-2-2221111-1-1-1-1000011-1-133−3−3−3−3332-200000000-1-111−3−33333−3−300000000000000000000
χ35222-22-2-2-22-122-2-222-2-2-1-11112-2-1-21-10000-1-1111-11-22211-1-1−3−33333−3−3-222-2-2-1-1-1-11111000011-1-1−3−33333−3−3-220000000011-1-1−3−33333−3−300000000000000000000
χ36222-22-2-2-22-122-2-222-2-2-1-11112-2-1-21-10000-1-1111-11-22211-1-1−3−33333−3−3-2-2-2221111-1-1-1-1000011-1-1−3−33333−3−32-200000000-1-11133−3−3−3−33300000000000000000000
χ37222-22-2-2-22-1-2-22222-2-2-1-11112-2-1-21-12i2i−2i−2i-1-1111-112-2-2-1-111−i−i−i−iiiii222-2-2-1-1-1-111112i2i−2i−2i-1-111−i−i−i−iiiii2-22i2i−2i−2i0000-1-111−i−i−i−iiiii00000000000000000000
χ38222-22-2-2-22-1-2-22222-2-2-1-11112-2-1-21-12i2i−2i−2i-1-1111-112-2-2-1-111−i−i−i−iiiii2-2-2221111-1-1-1-12i2i−2i−2i-1-111−i−i−i−iiiii-22−2i−2i2i2i000011-1-1iiii−i−i−i−i00000000000000000000
χ39222-22-2-2-22-1-2-22222-2-2-1-11112-2-1-21-1−2i−2i2i2i-1-1111-112-2-2-1-111iiii−i−i−i−i222-2-2-1-1-1-11111−2i−2i2i2i-1-111iiii−i−i−i−i2-2−2i−2i2i2i0000-1-111iiii−i−i−i−i00000000000000000000
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χ41222-22-2-2-2-12-2-222-1-11122-2-2-2-1121-2-12i2i−2i−2i-1-1111-11-11122-2-22i2i2i2i−2i−2i−2i−2i-1000000000000−i−iii-1-111−i−i−i−iiiii00000022-2-2000000000000-1-1-1-111112i−2i−i−iii000000
χ42222-22-2-2-2-12-2-222-1-11122-2-2-2-1121-2-12i2i−2i−2i-1-1111-11-11122-2-22i2i2i2i−2i−2i−2i−2i-1000000000000−i−iii-1-111−i−i−i−iiiii000000-2-2220000000000001111-1-1-1-1−2i2iii−i−i000000
χ43222-22-2-2-2-12-2-222-1-11122-2-2-2-1121-2-1−2i−2i2i2i-1-1111-11-11122-2-2−2i−2i−2i−2i2i2i2i2i-1000000000000ii−i−i-1-111iiii−i−i−i−i00000022-2-2000000000000-1-1-1-11111−2i2iii−i−i000000
χ44222-22-2-2-2-12-2-222-1-11122-2-2-2-1121-2-1−2i−2i2i2i-1-1111-11-11122-2-2−2i−2i−2i−2i2i2i2i2i-1000000000000ii−i−i-1-111iiii−i−i−i−i000000-2-2220000000000001111-1-1-1-12i−2i−i−iii000000
χ4522-22-2-22-22200002-22-22-22-2-2-22-2-22200002-22-2-2-2200000000000000002-22-222-2-222-2-20000000000000000000000−i2i2−i2i2000000000000−i2−i2i2i2−i2−i2i2i2000000−i2i2−i2i200
χ4622-22-2-22-22200002-22-22-22-2-2-22-2-22200002-22-2-2-2200000000000000002-22-222-2-222-2-20000000000000000000000i2−i2i2−i2000000000000i2i2−i2−i2i2i2−i2−i2000000i2−i2i2−i200
χ4722-22-2-22-22200002-22-22-22-2-2-22-2-22200002-22-2-2-220000000000000000-22-22-2-222-2-2220000000000000000000000−i2i2−i2i2000000000000−i2−i2i2i2−i2−i2i2i2000000i2−i2i2−i200
χ4822-22-2-22-22200002-22-22-22-2-2-22-2-22200002-22-2-2-220000000000000000-22-22-2-222-2-2220000000000000000000000i2−i2i2−i2000000000000i2i2−i2−i2i2i2−i2−i2000000−i2i2−i2i200
χ4922-2-2-22-222200002-2-222-2-222-2-2-22-2200002-2-222-2-200000000000000002-2-2222-2-2-2-2220000000000000000000000−i2i2i2−i2000000000000−i2−i2i2i2i2i2−i2−i2000000−i2i2i2−i200
χ5022-2-2-22-222200002-2-222-2-222-2-2-22-2200002-2-222-2-200000000000000002-2-2222-2-2-2-2220000000000000000000000i2−i2−i2i2000000000000i2i2−i2−i2−i2−i2i2i2000000i2−i2−i2i200
χ5122-2-2-22-222200002-2-222-2-222-2-2-22-2200002-2-222-2-20000000000000000-222-2-2-22222-2-20000000000000000000000−i2i2i2−i2000000000000−i2−i2i2i2i2i2−i2−i2000000i2−i2−i2i200
χ5222-2-2-22-222200002-2-222-2-222-2-2-22-2200002-2-222-2-20000000000000000-222-2-2-22222-2-20000000000000000000000i2−i2−i2i2000000000000i2i2−i2−i2−i2−i2i2i2000000−i2i2i2−i200
χ532-2-2222-2-2222-22-2-2-22-2-2-222-22-222-220000-2-222-22-2-22-22-22-200000000200000000000000002-22-200000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
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χ552-2-2222-2-222-22-22-2-22-2-2-222-22-222-222i−2i2i−2i-2-222-22-22-22-22-222i−2i2i−2i2i−2i2i−2i-20000000000002i−2i2i−2i-22-222i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000
χ562-2-2222-2-222-22-22-2-22-2-2-222-22-222-22−2i2i−2i2i-2-222-22-22-22-22-22−2i2i−2i2i−2i2i−2i2i-2000000000000−2i2i−2i2i-22-22−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ572-2-2222-2-22-12-22-2-2-22-211-1-112-2-121-1000011-1-11-11-22-2-11-113−3−333−3−3320000−i3i3−i3i3−i3i3−i3i30000-11-113−3−333−3−33002i−2i2i−2i0000−i3i3−i3i3−ii−ii−ii−ii00000000000000000000
χ582-2-2222-2-22-12-22-2-2-22-211-1-112-2-121-1000011-1-11-11-22-2-11-113−3−333−3−3320000i3−i3i3−i3i3−i3i3−i30000-11-113−3−333−3−3300−2i2i−2i2i0000i3−i3i3−i3i−ii−ii−ii−i00000000000000000000
χ592-2-2222-2-22-12-22-2-2-22-211-1-112-2-121-1000011-1-11-11-22-2-11-11−333−3−333−320000−i3i3−i3i3−i3i3−i3i30000-11-11−333−3−333−300−2i2i−2i2i0000−i3i3−i3i3i−ii−ii−ii−i00000000000000000000
χ602-2-2222-2-22-12-22-2-2-22-211-1-112-2-121-1000011-1-11-11-22-2-11-11−333−3−333−320000i3−i3i3−i3i3−i3i3−i30000-11-11−333−3−333−3002i−2i2i−2i0000i3−i3i3−i3−ii−ii−ii−ii00000000000000000000
χ612-2-2222-2-22-1-22-22-2-22-211-1-112-2-121-12i−2i2i−2i11-1-11-112-221-11-1−ii−ii−ii−ii-20000−i3i3−i3i3−i3i3−i3i32i−2i2i−2i1-11-1−ii−ii−ii−ii0000000000i3−i3i3−i33−3−333−3−3300000000000000000000
χ622-2-2222-2-22-1-22-22-2-22-211-1-112-2-121-12i−2i2i−2i11-1-11-112-221-11-1−ii−ii−ii−ii-20000i3−i3i3−i3i3−i3i3−i32i−2i2i−2i1-11-1−ii−ii−ii−ii0000000000−i3i3−i3i3−333−3−333−300000000000000000000
χ632-2-2222-2-22-1-22-22-2-22-211-1-112-2-121-1−2i2i−2i2i11-1-11-112-221-11-1i−ii−ii−ii−i-20000−i3i3−i3i3−i3i3−i3i3−2i2i−2i2i1-11-1i−ii−ii−ii−i0000000000i3−i3i3−i3−333−3−333−300000000000000000000
χ642-2-2222-2-22-1-22-22-2-22-211-1-112-2-121-1−2i2i−2i2i11-1-11-112-221-11-1i−ii−ii−ii−i-20000i3−i3i3−i3i3−i3i3−i3−2i2i−2i2i1-11-1i−ii−ii−ii−i0000000000−i3i3−i3i33−3−333−3−3300000000000000000000
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χ832-2-2-22-222-122-2-22111-1-2-2-2-22-1-1212-1-222-21111-1-1-1-1-11-222-2-22-222-22-210000000000001-1-111-1-111-11-1-11-1100000000000000000000003−33−3−33−33003−3−33000000
χ842-2-2-22-222-122-2-22111-1-2-2-2-22-1-1212-1-222-21111-1-1-1-1-11-222-2-22-222-22-210000000000001-1-111-1-111-11-1-11-110000000000000000000000−33−333−33−300−333−3000000
χ8544444444-24-4-4-4-4-2-2-2-244444-2-24-24-20000-2-2-2-2-2-2-2222-4-4-4-40000000020000000000000000222200000000000000000000000000000000000000000000000000
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χ8944444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-210000111111122222222i32i3−2i3−2i32i32i3−2i3−2i320000000000000000-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
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χ93444-44-4-4-4-2-2-4-444-2-222-2-2222-22-22214i4i−4i−4i11-1-1-11-1-222-2-222−2i−2i−2i−2i2i2i2i2i-2000000000000−2i−2i2i2i11-1-1iiii−i−i−i−i000000000000000000000000000000000000000000
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χ1164-4-4444-4-4-2-2-44-4422-2222-2-22-22-2-2214i−4i4i−4i-1-111-11-1-22-22-22-2−2i2i−2i2i−2i2i−2i2i2000000000000−2i2i−2i2i-11-11i−ii−ii−ii−i000000000000000000000000000000000000000000
χ1174-4-4444-4-4-2-2-44-4422-2222-2-22-22-2-221−4i4i−4i4i-1-111-11-1-22-22-22-22i−2i2i−2i2i−2i2i−2i20000000000002i−2i2i−2i-11-11−ii−ii−ii−ii000000000000000000000000000000000000000000
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χ1204-4-4-44-444-2-24-4-44222-22222-2-2-2-22-21-444-4-1-1-1-1111-2-222-2-222-22-2-22-2220000000000002-2-22-111-1-11-111-11-1000000000000000000000000000000000000000000
χ1214-4-4-44-444-2-2-444-4222-22222-2-2-2-22-210000-1-1-1-111122-2-222-2−2i32i32i3−2i32i3−2i3−2i32i3-200000000000000001-1-11i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000000000
χ1224-4-4-44-444-2-2-444-4222-22222-2-2-2-22-210000-1-1-1-111122-2-222-22i3−2i3−2i32i3−2i32i32i3−2i3-200000000000000001-1-11−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000000000
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χ1268-88-8-888-8-4-400004-4444-44-444-44-4-420000-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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