Finite Group Databasebeta

← Group #11787649

Character table — Group #11787649

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order124422233444666612121212121236666666688881212121212121212126612122424242424242424242424242424242488882424242424242424244466881212121212122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1
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χ1011-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-1ii−i−i1-111-1-1-1-11-1-111iiii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−i1-1−ii11-11-1-1−i−iii-1-111-11-11−i−iii
χ1111-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-1ii−i−i1-111-1-1-1-11-1-111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−i−i−iiiii-11i−i-1-11-111ii−i−i11-1-1-11-11−i−iii
χ1211-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-1ii−i−i1-111-1-1-1-11-1-111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−i−i−iiiii-11−ii-1-1-1111−i−iii-1-1111-11-1ii−i−i
χ1311-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-1−i−iii1-111-1-1-1-11-1-111−i−i−i−iiiii−i−i−i−iiiiiii−i−iiiii−i−i−i−i-11i−i-1-1-1111ii−i−i-1-1111-11-1−i−iii
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χ2022222222-1222-1-12-122-1-1-1-1-122-1-1-1-1-12-2-2-2-222-1-1-1-1-1-12-1-1-1-1-2-211-2-21111111111-2-2-2-2111111112200-1-100-1-10000000000000000
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χ4122-2-22222-1-2-2-2-1-12-1-2-21111-122-1-1-1-1-122i−2i−2i2i-2-2111111-2-1-1112i−2i−ii−2i2ii−i−i−iiiii−i−i000033−3−3−3−3330000−i3i300i3−i30000000000000000
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χ4822-2-2222-12-2-2-222-1211-2-2-2-2-1-1-122-1-1-1-1−2i2i2i−2i11-2-211111-1-111i−i−2i2i−ii2i−2iii−i−i−i−iii0000000000000000000000i3−i3−i3i3−333−300000000
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χ874-44i−4i0004-2000−2i32i3-424i−4i−2i2i23−23-20000−2i32i3200000000023−23−2i2i0000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ72ζ7−2ζ232ζ232ζ13−2ζ132ζ5−2ζ500000000000000000000000000
χ884-44i−4i0004-2000−2i32i3-424i−4i−2i2i23−23-20000−2i32i3200000000023−23−2i2i000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ7−2ζ72ζ23−2ζ23−2ζ132ζ13−2ζ52ζ500000000000000000000000000
χ894-44i−4i0004-20002i3−2i3-424i−4i−2i2i−2323-200002i3−2i32000000000−2323−2i2i0000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ232ζ23−2ζ72ζ72ζ5−2ζ52ζ13−2ζ1300000000000000000000000000
χ904-44i−4i0004-20002i3−2i3-424i−4i−2i2i−2323-200002i3−2i32000000000−2323−2i2i000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ23−2ζ232ζ7−2ζ7−2ζ52ζ5−2ζ132ζ1300000000000000000000000000
χ914-4−4i4i0004400000-4-4−4i4i−4i4i004000000-400000000000−4i4i000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000
χ924-4−4i4i0004400000-4-4−4i4i−4i4i004000000-400000000000−4i4i0000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000
χ934-4−4i4i0004-2000−2i32i3-42−4i4i2i−2i−2323-20000−2i32i32000000000−23232i−2i000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ13−2ζ132ζ5−2ζ5−2ζ72ζ7−2ζ232ζ2300000000000000000000000000
χ944-4−4i4i0004-2000−2i32i3-42−4i4i2i−2i−2323-20000−2i32i32000000000−23232i−2i0000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ132ζ13−2ζ52ζ52ζ7−2ζ72ζ23−2ζ2300000000000000000000000000
χ954-4−4i4i0004-20002i3−2i3-42−4i4i2i−2i23−23-200002i3−2i3200000000023−232i−2i000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ5−2ζ52ζ13−2ζ13−2ζ232ζ23−2ζ72ζ700000000000000000000000000
χ964-4−4i4i0004-20002i3−2i3-42−4i4i2i−2i23−23-200002i3−2i3200000000023−232i−2i0000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ52ζ5−2ζ132ζ132ζ23−2ζ232ζ7−2ζ700000000000000000000000000
χ978-88i−8i000-48000004-8−4i4i8i−8i00-4000000400000000000−4i4i00000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i344−4i4i−4i4i43−43200002i3−2i3-2000000000−23232i−2i00000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4i4i−4i4i−434320000−2i32i3-200000000023−232i−2i00000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i000-48000004-84i−4i−8i8i00-40000004000000000004i−4i00000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i3444i−4i4i−4i−4343200002i3−2i3-200000000023−23−2i2i00000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i3444i−4i4i−4i43−4320000−2i32i3-2000000000−2323−2i2i00000000000000000000000000000000000000000000000000000000000

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