Finite Group Databasebeta

← Group #11785353

Character table — Group #11785353

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order1222222233444466666666666666888888883666666612121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422224444888888884444444412121212121212121212121212121212
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
χ9111-1-1-1-11111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ10111-1-1-1-11111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ11111-1-1-1-11111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ12111-1-1-1-11111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ13111-1-1-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
χ14111-1-1-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ15111-1-1-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ16111-1-1-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
χ172222222222-2-2-2-2222222222222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-2-2-200000000000000000000000000000000
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
χ19222222222-1222222-1-122-1-12-122-1-122222222-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000222200000000-1-1-1-1-1-1-1-1
χ20222222222-1222222-1-122-1-12-122-1-122222222-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-20000000011111111
χ21222222222-1222222-1-122-1-12-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000000022-2-200000000-1-1-1-11111
χ22222222222-1222222-1-122-1-12-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000000000000000-2-222000000001111-1-1-1-1
χ2322222222-122222-1-122-1-122-12-1-12222222222-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000022220000-1-1-1-1-1-1-1-100000000
χ2422222222-122222-1-122-1-122-12-1-12222222222-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000-2-2-2-200001111111100000000
χ2522222222-122222-1-122-1-122-12-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000022-2-20000-1-1-1-1111100000000
χ2622222222-122222-1-122-1-122-12-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000000000000000-2-22200001111-1-1-1-100000000
χ27222-2-2-2-2222-222-22222-2-2-2-222-2-2-2-200000000222-2-2-2-22-2-22222-2-22222-2-2-2-20000000000000000000000000000000022-2-2-2-22200000000000000000000000000000000
χ28222-2-2-2-2222-222-22222-2-2-2-222-2-2-2-200000000222-2-2-2-22-2-22222-2-22222-2-2-2-200000000000000000000000000000000-2-22222-2-200000000000000000000000000000000
χ29222-2-2-2-222-12-2-2222-1-1-2-2112-1-2-2112222-2-2-2-2-1-1-11111-12-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ30222-2-2-2-222-12-2-2222-1-1-2-2112-1-2-2112222-2-2-2-2-1-1-11111-12-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ31222-2-2-2-222-12-2-2222-1-1-2-2112-1-2-211-2-2-2-22222-1-1-11111-12-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002i−2i−2i2i00000000−i−iiiii−i−i
χ32222-2-2-2-222-12-2-2222-1-1-2-2112-1-2-211-2-2-2-22222-1-1-11111-12-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000−2i2i2i−2i00000000ii−i−i−i−iii
χ33222-2-2-2-22-122-2-22-1-12211-2-2-1211-2-22222-2-2-2-2-1-1-11111-1-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ34222-2-2-2-22-122-2-22-1-12211-2-2-1211-2-22222-2-2-2-2-1-1-11111-1-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ35222-2-2-2-22-122-2-22-1-12211-2-2-1211-2-2-2-2-2-22222-1-1-11111-1-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ36222-2-2-2-22-122-2-22-1-12211-2-2-1211-2-2-2-2-2-22222-1-1-11111-1-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ3722-222-2-2-22200002-22-22-22-2-2-22-22-2−i2−i2i2i2−i2−i2i2i222-222-2-2-20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200002i−2i2i−2i22−2−222−2−2000000000000000000000000
χ3822-222-2-2-22200002-22-22-22-2-2-22-22-2−i2−i2i2i2−i2−i2i2i222-222-2-2-20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i20000−2i2i−2i2i−2−222−2−222000000000000000000000000
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χ4022-222-2-2-22200002-22-22-22-2-2-22-22-2i2i2−i2−i2i2i2−i2−i222-222-2-2-20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i20000−2i2i−2i2i22−2−222−2−2000000000000000000000000
χ4122-2-2-222-22200002-22-2-22-22-2-2-22-22−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−2i2i22−2−2−2−222000000000000000000000000
χ4222-2-2-222-22200002-22-2-22-22-2-2-22-22−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−2i−2−22222−2−2000000000000000000000000
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χ552-2-22-2-22222-2-222-2-2-2-222-2-222-2-2222-2-222-2-222-2-22-2-222-2-2-22-22-2-2-2-22222222-2-222-2-2222-2-2-2-2222-2-222-2-2222-2-2-2-2220000000000000000000000000000000000000000
χ562-2-22-2-22222-2-222-2-2-2-222-2-222-2-222-222-2-222-22-2-22-2-222-2-2-22-22-2-2-2-2222222-222-2-222-2-2-22222-2-2-222-2-222-2-2-22222-2-20000000000000000000000000000000000000000
χ572-2-22-2-2222-1-2-222-2-21122112-1-2-2-1-12-2-222-2-22-111-111-1-1-21-221-11111-1-12-1-1-12-2-22-111-1-1-11111-1-12-2-22-111-1-1-11111-1-100000000000000000000000000000000−i3i3−i3i3−i3i3−i3i3
χ582-2-22-2-2222-1-2-222-2-21122112-1-2-2-1-12-2-222-2-22-111-111-1-1-21-221-11111-1-12-1-1-12-2-22-111-1-1-11111-1-12-2-22-111-1-1-11111-1-100000000000000000000000000000000i3−i3i3−i3i3−i3i3−i3
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.