Finite Group Databasebeta

← Group #11794969

Character table — Group #11794969

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order124422233444666612121212121236666666612121212121212121266881212242424242424242424242424242424248888242424242424242424668888121224242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1
χ922222222-1222222-1-1-12222-122-1-1-1-1-1-12-1-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-10022-1-10000-1-1-1-10000
χ1022222222-1222222-1-1-12222-122-1-1-1-1-1-12-1-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-21100-2-211000011110000
χ1122222222-1222222-1-1-12222-122-1-1-1-1-1-12-1-1-1-1-1-12-1-1-1-2-2-1-1-2-2-2-211111111111100000000000022-1-100-2-2-1-1000011110000
χ1222222222-1222222-1-1-12222-122-1-1-1-1-1-12-1-1-1-1-1-12-1-1-1-2-2-1-1-2-2-2-2111111111111000000000000-2-2110022110000-1-1-1-10000
χ132222222-12222-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1-12-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000220000-1-1-1-100000000
χ142222222-12222-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1-12-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000-2-20000111100000000
χ152222222-12222-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1-12-1-1-12-1-1-2-2-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-10000-2-20000111100000000
χ162222222-12222-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1-12-1-1-12-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-2111111110000220000-1-1-1-100000000
χ1722222-2-222-22-222222222222-2-22-2-2222-2-222222-2-2-2-200-2-200000000000000000000000000000000000000000000002i−2i00
χ1822222-2-222-22-222222222222-2-22-2-2222-2-222222-2-2-2-200-2-20000000000000000000000000000000000000000000000−2i2i00
χ192222-22-2222-2-2-2-22222-2-22222-2-22-2-2-222222-2-2-2-2-22-22i−2i2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000
χ202222-22-2222-2-2-2-22222-2-22222-2-22-2-2-222222-2-2-2-2-22-2−2i2i2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000
χ212222-22-22-12-2-2-2-22-1-1-1-2-222-12-21-1111-12-1-1-1111-21-112i−2i-112i2i−2i−2i−i−iii−i−i−i−iiiii00000000000000−i3i30000−i3i3000033−3−30000
χ222222-22-22-12-2-2-2-22-1-1-1-2-222-12-21-1111-12-1-1-1111-21-112i−2i-112i2i−2i−2i−i−iii−i−i−i−iiiii00000000000000i3−i30000i3−i30000−3−3330000
χ232222-22-22-12-2-2-2-22-1-1-1-2-222-12-21-1111-12-1-1-1111-21-11−2i2i-11−2i−2i2i2iii−i−iiiii−i−i−i−i00000000000000−i3i30000−i3i30000−3−3330000
χ242222-22-22-12-2-2-2-22-1-1-1-2-222-12-21-1111-12-1-1-1111-21-11−2i2i-11−2i−2i2i2iii−i−iiiii−i−i−i−i00000000000000i3−i30000i3−i3000033−3−30000
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χ3122-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000002i−2i0000002i−2i2i−2i0000
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χ3322-2-22222-1-2-2-2222-111-2-2-2-2-122-1-1-1-1-1-1-2111111-21-1-1001100003−33−333−3−333−3−300000000000000−i3i3002i−2ii3−i30000−ii−ii0000
χ3422-2-22222-1-2-2-2222-111-2-2-2-2-122-1-1-1-1-1-1-2111111-21-1-1001100003−33−333−3−333−3−300000000000000i3−i300−2i2i−i3i30000i−ii−i0000
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χ864-4−4i4i0004400000-4-4−4i4i00−4i4i40000000-400−4i4i0000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000
χ874-4−4i4i000-24000−2i32i32-4−4i4i−23232i−2i-200000−2i32i32002i−2i0−2323000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ23ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ230000000000000000000000
χ884-4−4i4i000-24000−2i32i32-4−4i4i−23232i−2i-200000−2i32i32002i−2i0−23230000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ23−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ230000000000000000000000
χ894-4−4i4i000-240002i3−2i32-4−4i4i23−232i−2i-2000002i3−2i32002i−2i023−23000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ23−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ230000000000000000000000
χ904-4−4i4i000-240002i3−2i32-4−4i4i23−232i−2i-2000002i3−2i32002i−2i023−230000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ23ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ230000000000000000000000
χ918-88i−8i0008-400000-84−4i4i008i−8i-40000000400−4i4i0000000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-4000−4i34i344−4i4i43−43−4i4i2000002i3−2i3-2002i−2i0−23230000000000000000000000000000000000000000000000000000000000
χ938-88i−8i000-4-40004i3−4i344−4i4i−4343−4i4i200000−2i32i3-2002i−2i023−230000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i0008-400000-844i−4i00−8i8i-400000004004i−4i0000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000−4i34i3444i−4i−43434i−4i2000002i3−2i3-200−2i2i023−230000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-40004i3−4i3444i−4i43−434i−4i200000−2i32i3-200−2i2i0−23230000000000000000000000000000000000000000000000000000000000

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