Finite Group Databasebeta

← Group #11787112

Character table — Group #11787112

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order124422233444666612121212121222344666666661212121212121212126666666666121212121212121212128888242424242424242444448812121212121212122424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ51111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111
χ81111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ911-1-111111-1-1-11111-1-1-1-1-1-11-111-111111111-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1-11-1i−i11-1-111-1-1ii−i−iii−i−iii−i−i
χ1011-1-111111-1-1-11111-1-1-1-1-1-11-111-111111111-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i-11-11i−i-1-111-1-111ii−i−i−i−iii−i−iii
χ1111-1-111111-1-1-11111-1-1-1-1-1-11-111-111111111-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1−i−iii−i−i−i−iiiii1-11-1−ii11-1-111-1-1−i−iii−i−iii−i−iii
χ1211-1-111111-1-1-11111-1-1-1-1-1-11-111-111111111-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1−i−iii−i−i−i−iiiii-11-11−ii-1-111-1-111−i−iiiii−i−iii−i−i
χ1311-1-111111-1-1-11111-1-1-1-1-1-1-111-1111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111ii−i−iiiii−i−i−i−i1-1-11−ii11-1-1-1-111−i−iiiii−i−i−i−iii
χ1411-1-111111-1-1-11111-1-1-1-1-1-1-111-1111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111ii−i−iiiii−i−i−i−i-111-1−ii-1-11111-1-1−i−iii−i−iiiii−i−i
χ1511-1-111111-1-1-11111-1-1-1-1-1-1-111-1111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111−i−iii−i−i−i−iiiii1-1-11i−i11-1-1-1-111ii−i−i−i−iiiii−i−i
χ1611-1-111111-1-1-11111-1-1-1-1-1-1-111-1111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111−i−iii−i−i−i−iiiii-111-1i−i-1-11111-1-1ii−i−iii−i−i−i−iii
χ1722222222-1222222-1-1-1222222-12222-1-1-1-1-1-122-1-1-1-1-1-1-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1000000000000222200-1-1-1-1-1-1-1-1000000000000
χ1822222222-1222222-1-1-1222222-12222-1-1-1-1-1-122-1-1-1-1-1-1-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1000000000000-2-2-2-20011111111000000000000
χ1922222222-1222222-1-1-12222-2-2-1-2-222-1-1-1-1-1-122-1-1-1-1-1-1-1-21-21-1-11111-21-21-1-1111100000000000022-2-200-1-1-1-11111000000000000
χ2022222222-1222222-1-1-12222-2-2-1-2-222-1-1-1-1-1-122-1-1-1-1-1-1-1-21-21-1-11111-21-21-1-11111000000000000-2-222001111-1-1-1-1000000000000
χ212222222-12222-1-1-1222-1-1-1-122-122-1-12-1-1-122-1-1222-1-1-1-1-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002200000000-1-1-1-100000000
χ222222222-12222-1-1-1222-1-1-1-122-122-1-12-1-1-122-1-1222-1-1-1-1-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-1-2-2-2-2111111110000-2-200000000111100000000
χ232222222-12222-1-1-1222-1-1-1-1-2-2-1-2-2-1-12-1-1-122-1-1222-1-1-1-11-21-2-1-111111-21-2-1-111112222-1-1-1-1-1-1-1-10000-2-200000000111100000000
χ242222222-12222-1-1-1222-1-1-1-1-2-2-1-2-2-1-12-1-1-122-1-1222-1-1-1-11-21-2-1-111111-21-2-1-11111-2-2-2-21111111100002200000000-1-1-1-100000000
χ2522222-2-222-2-2222222222222-22-22-2-22222-2-2-2-22-2-2222222-2-2-2-222-2-2-2-222-2-2-2-22200000000000000000000000000000000000000
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χ2722222-2-22-1-2-22222-1-1-122222-2-1-22-2-2-1-1-1-111-2-2-111-1-1-1-12-1-2111-1-111-212-11111-1-10000000000000000003−33−33−33−3000000000000
χ2822222-2-22-1-2-22222-1-1-122222-2-1-22-2-2-1-1-1-111-2-2-111-1-1-1-12-1-2111-1-111-212-11111-1-1000000000000000000−33−33−33−33000000000000
χ2922222-2-22-1-2-22222-1-1-12222-22-12-2-2-2-1-1-1-111-2-2-111-1-1-1-1-212-11111-1-12-1-2111-1-1110000000000000000003−33−3−33−33000000000000
χ3022222-2-22-1-2-22222-1-1-12222-22-12-2-2-2-1-1-1-111-2-2-111-1-1-1-1-212-11111-1-12-1-2111-1-111000000000000000000−33−333−33−3000000000000
χ3122222-2-2-12-2-22-1-1-1222-1-1-1-12-2-1-22112-1-1-1-2-2112-2-2-1-1-1-1-121-211-1-1111-2-121111-1-10000−i3−i3i3i3−i3−i3i3i300000000000000−i3i3−i3i300000000
χ3222222-2-2-12-2-22-1-1-1222-1-1-1-12-2-1-22112-1-1-1-2-2112-2-2-1-1-1-1-121-211-1-1111-2-121111-1-10000i3i3−i3−i3i3i3−i3−i300000000000000i3−i3i3−i300000000
χ3322222-2-2-12-2-22-1-1-1222-1-1-1-1-22-12-2112-1-1-1-2-2112-2-2-1-1-1-11-2-121111-1-1-121-211-1-1110000−i3−i3i3i3−i3−i3i3i300000000000000i3−i3i3−i300000000
χ3422222-2-2-12-2-22-1-1-1222-1-1-1-1-22-12-2112-1-1-1-2-2112-2-2-1-1-1-11-2-121111-1-1-121-211-1-1110000i3i3−i3−i3i3i3−i3−i300000000000000−i3i3−i3i300000000
χ352222-22-2222-2-2-2-2222222-2-2002002-2-2-2-222-22-2-22-222-2-200002-2000000002-200000000000000000000000000000000002-22-20000
χ362222-22-2222-2-2-2-2222222-2-2002002-2-2-2-222-22-2-22-222-2-200002-2000000002-20000000000000000000000000000000000-22-220000
χ372222-2-2222-22-2-2-2222222-2-200200-22-2-2-22-22-22-2-2222-2-20000-2200000000-22000000000000000000000000000000000000002-22-2
χ382222-2-2222-22-2-2-2222222-2-200200-22-2-2-22-22-22-2-2222-2-20000-2200000000-2200000000000000000000000000000000000000-22-22
χ3922-2-22222-1-2-2-2222-111-2-2-2-22-2-12-222-1-1-1-1-1-1-2-211111112-1-21-1-1-1-1112-1-2111-1-1110000000000002-22-200-1-111-1-111000000000000
χ4022-2-22222-1-2-2-2222-111-2-2-2-22-2-12-222-1-1-1-1-1-1-2-211111112-1-21-1-1-1-1112-1-2111-1-111000000000000-22-220011-1-111-1-1000000000000
χ4122-2-22222-1-2-2-2222-111-2-2-2-2-22-1-2222-1-1-1-1-1-1-2-21111111-212-1-1-111-1-1-212-11111-1-10000000000002-2-2200-1-11111-1-1000000000000
χ4222-2-22222-1-2-2-2222-111-2-2-2-2-22-1-2222-1-1-1-1-1-1-2-21111111-212-1-1-111-1-1-212-11111-1-1000000000000-222-20011-1-1-1-111000000000000
χ4322-2-2222-12-2-2-2-1-1-12-2-211112-2-12-2-1-12-1-1-12211-2-2-21111-121-2-1-1-1-111-121-211-1-1112i2i−2i−2i−i−i−i−iiiii00002i−2i00000000−i−iii00000000
χ4422-2-2222-12-2-2-2-1-1-12-2-211112-2-12-2-1-12-1-1-12211-2-2-21111-121-2-1-1-1-111-121-211-1-111−2i−2i2i2iiiii−i−i−i−i0000−2i2i00000000ii−i−i00000000
χ4522-2-2222-12-2-2-2-1-1-12-2-21111-22-1-22-1-12-1-1-12211-2-2-211111-2-12-1-111-1-11-2-121111-1-12i2i−2i−2i−i−i−i−iiiii0000−2i2i00000000ii−i−i00000000
χ4622-2-2222-12-2-2-2-1-1-12-2-21111-22-1-22-1-12-1-1-12211-2-2-211111-2-12-1-111-1-11-2-121111-1-1−2i−2i2i2iiiii−i−i−i−i00002i−2i00000000−i−iii00000000
χ4722-2-22-2-22222-22222-2-2-2-2-2-2222-2-2-2-22222-2-222-222-2-2-2-22222-2-22222-2-2-2-222-2-2-2-200000000000000000000000000000000000000
χ4822-2-22-2-22222-22222-2-2-2-2-2-2-2-2222-2-22222-2-222-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222200000000000000000000000000000000000000
χ4922-2-22-2-22-122-2222-111-2-2-2-222-1-2-2-2-2-1-1-1-111221-1-111112-12-111-1-1-1-1-21-21-1-111110000000000000000003−3−333−3−33000000000000
χ5022-2-22-2-22-122-2222-111-2-2-2-222-1-2-2-2-2-1-1-1-111221-1-111112-12-111-1-1-1-1-21-21-1-11111000000000000000000−333−3−333−3000000000000
χ5122-2-22-2-22-122-2222-111-2-2-2-2-2-2-122-2-2-1-1-1-111221-1-11111-21-211111112-12-1-1-1-1-1-1-10000000000000000003−3−33−333−3000000000000
χ5222-2-22-2-22-122-2222-111-2-2-2-2-2-2-122-2-2-1-1-1-111221-1-11111-21-211111112-12-1-1-1-1-1-1-1000000000000000000−333−33−3−33000000000000
χ5322-2-22-2-2-1222-2-1-1-12-2-2111122-1-2-2112-1-1-1-2-2-1-1-2221111-12-1211-1-1-1-11-21-2-1-11111000033−3−3−3−333000000000000003−3−3300000000
χ5422-2-22-2-2-1222-2-1-1-12-2-2111122-1-2-2112-1-1-1-2-2-1-1-2221111-12-1211-1-1-1-11-21-2-1-111110000−3−33333−3−300000000000000−333−300000000
χ5522-2-22-2-2-1222-2-1-1-12-2-21111-2-2-122112-1-1-1-2-2-1-1-22211111-21-2111111-12-12-1-1-1-1-1-1000033−3−3−3−33300000000000000−333−300000000
χ5622-2-22-2-2-1222-2-1-1-12-2-21111-2-2-122112-1-1-1-2-2-1-1-22211111-21-2111111-12-12-1-1-1-1-1-10000−3−33333−3−3000000000000003−3−3300000000
χ5722-2-2-22-222-222-2-222-2-2-2-222002002-2-2-2-222-2-222-22-2-22200002-200000000-2200000000000000000000000000000000002i−2i−2i2i0000
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χ5922-2-2-2-22222-22-2-222-2-2-2-22200200-22-2-2-22-222-222-2-2-2220000-22000000002-2000000000000000000000000000000000000002i−2i−2i2i
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χ614444444-2-2444-2-2-2-2-2-2-2-2-2-244144-2-2-2111-2-2-2-2-2-2-21111-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-2-2-2-2-2-4-41-4-4-2-2-2111-2-2-2-2-2-2-21111222211-1-1-1-1222211-1-1-1-100000000000000000000000000000000000000
χ6344444-4-4-2-2-4-44-2-2-2-2-2-2-2-2-2-24-41-4422-21112222-2221111-2-222-1-111-1-122-2-2-1-1-1-11100000000000000000000000000000000000000
χ6444444-4-4-2-2-4-44-2-2-2-2-2-2-2-2-2-2-4414-422-21112222-222111122-2-2-1-1-1-111-2-222-1-111-1-100000000000000000000000000000000000000
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χ884-44i−4i000-24000−2i32i32-44i−4i−2i2i23−2300-200000−2i32i320000000−2i2i23−2300000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ7−2ζ72ζ23−2ζ23−2ζ132ζ13−2ζ52ζ500000000000000000000000000
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χ904-44i−4i000-240002i3−2i32-44i−4i−2i2i−232300-2000002i3−2i320000000−2i2i−232300000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ23−2ζ232ζ7−2ζ7−2ζ52ζ5−2ζ132ζ1300000000000000000000000000
χ914-4−4i4i0004400000-4-4−4i4i−4i4i000040000000-40000000−4i4i0000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000
χ924-4−4i4i0004400000-4-4−4i4i−4i4i000040000000-40000000−4i4i00000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000
χ934-4−4i4i000-24000−2i32i32-4−4i4i2i−2i−232300-200000−2i32i3200000002i−2i−232300000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ13−2ζ132ζ5−2ζ5−2ζ72ζ7−2ζ232ζ2300000000000000000000000000
χ944-4−4i4i000-24000−2i32i32-4−4i4i2i−2i−232300-200000−2i32i3200000002i−2i−2323000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ132ζ13−2ζ52ζ52ζ7−2ζ72ζ23−2ζ2300000000000000000000000000
χ954-4−4i4i000-240002i3−2i32-4−4i4i2i−2i23−2300-2000002i3−2i3200000002i−2i23−2300000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ5−2ζ52ζ13−2ζ13−2ζ232ζ23−2ζ72ζ700000000000000000000000000
χ964-4−4i4i000-240002i3−2i32-4−4i4i2i−2i23−2300-2000002i3−2i3200000002i−2i23−23000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ52ζ5−2ζ132ζ132ζ23−2ζ232ζ7−2ζ700000000000000000000000000
χ978-88i−8i0008-400000-84−4i4i8i−8i0000-4000000040000000−4i4i000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i344−4i4i−4i4i43−43002000002i3−2i3-200000002i−2i−23230000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4i4i−4i4i−434300200000−2i32i3-200000002i−2i23−230000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-400000-844i−4i−8i8i0000-40000000400000004i−4i000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i3444i−4i4i−4i−4343002000002i3−2i3-20000000−2i2i23−230000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i3444i−4i4i−4i43−4300200000−2i32i3-20000000−2i2i−23230000000000000000000000000000000000000000000000000000000000

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