Finite Group Databasebeta

← Group #11788074

Character table — Group #11788074

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order122222223344446666666666666688888888366666661212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242222444488888888224444446666121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
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χ1011-1-11-1-111111-1-11-1-1-111-1-1-1111-1-1iiii−i−i−i−i111-1-1-1-111111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-111-1-1iiii−i−i−i−i-11−ii-11−ii-1-111−i−iii-1-111−i−iii
χ1111-1-11-1-111111-1-11-1-1-111-1-1-1111-1-1iiii−i−i−i−i111-1-1-1-111111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-111−i−i−i−iiiii1-1i−i-11−ii11-1-1ii−i−i-1-111−i−iii
χ1211-1-11-1-111111-1-11-1-1-111-1-1-1111-1-1iiii−i−i−i−i111-1-1-1-111111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-111−i−i−i−iiiii-11−ii1-1i−i-1-111−i−iii11-1-1ii−i−i
χ1311-1-11-1-111111-1-11-1-1-111-1-1-1111-1-1−i−i−i−iiiii111-1-1-1-111111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-111-1-1−i−i−i−iiiii1-1−ii1-1−ii11-1-1−i−iii11-1-1−i−iii
χ1411-1-11-1-111111-1-11-1-1-111-1-1-1111-1-1−i−i−i−iiiii111-1-1-1-111111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-111-1-1−i−i−i−iiiii-11i−i-11i−i-1-111ii−i−i-1-111ii−i−i
χ1511-1-11-1-111111-1-11-1-1-111-1-1-1111-1-1−i−i−i−iiiii111-1-1-1-111111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111-1-111iiii−i−i−i−i1-1−ii-11i−i11-1-1−i−iii-1-111ii−i−i
χ1611-1-11-1-111111-1-11-1-1-111-1-1-1111-1-1−i−i−i−iiiii111-1-1-1-111111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111-1-111iiii−i−i−i−i-11i−i1-1−ii-1-111ii−i−i11-1-1−i−iii
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χ182222222222-2-2-2-2222222222222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2222200000000000000000000000000000000
χ19222222222-122222222-1-1-1-1-12-122-122222222-1-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022220000-1-1-1-1-1-1-1-100000000
χ20222222222-122222222-1-1-1-1-12-122-122222222-1-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-200001111111100000000
χ21222222222-122222222-1-1-1-1-12-122-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000022-2-20000-1-1-1-1111100000000
χ22222222222-122222222-1-1-1-1-12-122-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000-2-22200001111-1-1-1-100000000
χ2322222222-122222-1-1-1-122222-12-1-1222222222-1-1-1-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000222200000000-1-1-1-1-1-1-1-1
χ2422222222-122222-1-1-1-122222-12-1-1222222222-1-1-1-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000-2-2-2-20000000011111111
χ2522222222-122222-1-1-1-122222-12-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000000000000000000022-2-200000000-1-1-1-11111
χ2622222222-122222-1-1-1-122222-12-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111100000000000000000000-2-222000000001111-1-1-1-1
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χ3122-22-2-22-22200002-2-222-2-222-2-2-22-2−i2−i2i2i2i2i2−i2−i222-2-2-222-20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200002i−2i−2i2i−2−22222−2−2000000000000000000000000
χ3222-22-2-22-22200002-2-222-2-222-2-2-22-2−i2−i2i2i2i2i2−i2−i222-2-2-222-20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i20000−2i2i2i−2i22−2−2−2−222000000000000000000000000
χ3322-22-2-22-22200002-2-222-2-222-2-2-22-2i2i2−i2−i2−i2−i2i2i222-2-2-222-20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200002i−2i−2i2i22−2−2−2−222000000000000000000000000
χ3422-22-2-22-22200002-2-222-2-222-2-2-22-2i2i2−i2−i2−i2−i2i2i222-2-2-222-20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i20000−2i2i2i−2i−2−22222−2−2000000000000000000000000
χ3522-2-22-2-2222-2-2222-2-2-222-2-2-2222-2-200000000222-2-2-2-22-2-2-2-222-2-2-2-22222220000000000000000000000000000000022-2-2-2-22200000000000000000000000000000000
χ3622-2-22-2-2222-2-2222-2-2-222-2-2-2222-2-200000000222-2-2-2-22-2-2-2-222-2-2-2-222222200000000000000000000000000000000-2-22222-2-200000000000000000000000000000000
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χ4422-2-22-2-22-1222-2-2-111122-2-2-2-12-11-2−2i−2i−2i−2i2i2i2i2i-1-1-11111-1-1-1221-2-1-1-1-1111-211iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i00000000000000000000-222i−2i0000000011-1-1−i−iii
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χ512-22-2-2-22222-22-22-22-2-2-2-22-2222-22-2000000002-2-22-2-222-22-22-2-2-2-222-2-2222200000000000000000000000000000000000000002-2-222-2-22000000000000000000000000
χ522-22-2-2-22222-22-22-22-2-2-2-22-2222-22-2000000002-2-22-2-222-22-22-2-2-2-222-2-222220000000000000000000000000000000000000000-222-2-222-2000000000000000000000000
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χ542-22-2-2-2222-12-22-2-22-2-211-11-12-1-2212i−2i−2i2i2i−2i−2i2i-111-111-1-12-2-112-1-1-111-1-1-21112i−2i−2i2i−iii−i−i−iiiii−i−i2i−2i−2i2i−iii−i−i−iiiii−i−i000000000000000000000000i3−i3i3−i3−33−3300000000
χ552-22-2-2-2222-12-22-2-22-2-211-11-12-1-221−2i2i2i−2i−2i2i2i−2i-111-111-1-12-2-112-1-1-111-1-1-2111−2i2i2i−2ii−i−iiii−i−i−i−iii−2i2i2i−2ii−i−iiii−i−i−i−iii000000000000000000000000−i3i3−i3i3−33−3300000000
χ562-22-2-2-2222-12-22-2-22-2-211-11-12-1-221−2i2i2i−2i−2i2i2i−2i-111-111-1-12-2-112-1-1-111-1-1-2111−2i2i2i−2ii−i−iiii−i−i−i−iii−2i2i2i−2ii−i−iiii−i−i−i−iii000000000000000000000000i3−i3i3−i33−33−300000000
χ572-22-2-2-222-122-22-21-111-2-22-22-121-1-22i−2i−2i2i2i−2i−2i2i-111-111-1-1-112-2-12-1-111-1-11-211−iii−i2i−2i−2i2i−i−iiiii−i−i−iii−i2i−2i−2i2i−i−iiiii−i−i000000000000000000000000000000003−33−3−i3i3−i3i3
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χ1324-4-4-4444-4-2-2000022-222-222-222-2-2-2−2222−222222−2222−221-11-11-11-1000000−3i3i3i−3i3i−3i00−3i3i2−22−22−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−22−22−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000000000000000000000

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