Finite Group Databasebeta

← Group #11794970

Character table — Group #11794970

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12442223344466661212121212123666666661212121212121212126688121224242424242424242424242424242424888824242424242424244444881212121212121212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1
χ922222222-1222222-1-1-12222-122-1-1-1-1-1-12-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000222200-1-1-1-1-1-1-1-100000000
χ1022222222-1222222-1-1-12222-122-1-1-1-1-1-12-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2001111111100000000
χ1122222222-1222222-1-1-12222-122-1-1-1-1-1-12-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-211111111111100000000000022-2-200-1-1-1-1111100000000
χ1222222222-1222222-1-1-12222-122-1-1-1-1-1-12-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-2111111111111000000000000-2-222001111-1-1-1-100000000
χ132222222-12222-1-1-1222-1-1-1-1-1-1-12-1-1-122-122-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002200000000-1-1-1-10000
χ142222222-12222-1-1-1222-1-1-1-1-1-1-12-1-1-122-122-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000-2-20000000011110000
χ152222222-12222-1-1-1222-1-1-1-1-1-1-12-1-1-122-122-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-10000-2-20000000011110000
χ162222222-12222-1-1-1222-1-1-1-1-1-1-12-1-1-122-122-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-21111111100002200000000-1-1-1-10000
χ1722222-2-222-22-222222222222-2-22222-2-2-2-2-222222-2-2-200-2-200000000000000000000000000002i−2i00002i2i−2i−2i000000000000
χ1822222-2-222-22-222222222222-2-22222-2-2-2-2-222222-2-2-200-2-20000000000000000000000000000−2i2i0000−2i−2i2i2i000000000000
χ1922222-2-22-1-22-2222-1-1-12222-1-2-2-1-1-1-111-211-1-1-1-1-1-21100110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000000000002i−2i0000−i−iii33−3−300000000
χ2022222-2-22-1-22-2222-1-1-12222-1-2-2-1-1-1-111-211-1-1-1-1-1-21100110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3000000000000−2i2i0000ii−i−i−3−33300000000
χ2122222-2-22-1-22-2222-1-1-12222-1-2-2-1-1-1-111-211-1-1-1-1-1-21100110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000000000002i−2i0000−i−iii−3−33300000000
χ2222222-2-22-1-22-2222-1-1-12222-1-2-2-1-1-1-111-211-1-1-1-1-1-21100110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000000000−2i2i0000ii−i−i33−3−300000000
χ232222-22-2222-2-2-2-22222-2-22222-2-2-2-222-222-222-2-2-2-22-22i−2i2-22i2i−2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ242222-22-2222-2-2-2-22222-2-22222-2-2-2-222-222-222-2-2-2-22-2−2i2i2-2−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000
χ252222-22-22-12-2-2-2-22-1-1-1-2-222-12-2111-1-112-11-1-1111-2-112i−2i-112i2i−2i−2i−ii−ii−i−iii−i−iii000000000000000000−i3i3−i3i33−33−300000000
χ262222-22-22-12-2-2-2-22-1-1-1-2-222-12-2111-1-112-11-1-1111-2-112i−2i-112i2i−2i−2i−ii−ii−i−iii−i−iii000000000000000000i3−i3i3−i3−33−3300000000
χ272222-22-22-12-2-2-2-22-1-1-1-2-222-12-2111-1-112-11-1-1111-2-11−2i2i-11−2i−2i2i2ii−ii−iii−i−iii−i−i000000000000000000−i3i3−i3i3−33−3300000000
χ282222-22-22-12-2-2-2-22-1-1-1-2-222-12-2111-1-112-11-1-1111-2-11−2i2i-11−2i−2i2i2ii−ii−iii−i−iii−i−i000000000000000000i3−i3i3−i33−33−300000000
χ292222-22-2-122-2-211-122211-1-1-1-11-211-12-2-12-2-1-1-2111-112i−2i-11−i−iii2i−2i2i−2i−i−iii−i−iii00003333−3−3−3−300000000000000−i3−i3i3i30000
χ302222-22-2-122-2-211-122211-1-1-1-11-211-12-2-12-2-1-1-2111-112i−2i-11−i−iii2i−2i2i−2i−i−iii−i−iii0000−3−3−3−3333300000000000000i3i3−i3−i30000
χ312222-22-2-122-2-211-122211-1-1-1-11-211-12-2-12-2-1-1-2111-11−2i2i-11ii−i−i−2i2i−2i2iii−i−iii−i−i00003333−3−3−3−300000000000000i3i3−i3−i30000
χ322222-22-2-122-2-211-122211-1-1-1-11-211-12-2-12-2-1-1-2111-11−2i2i-11ii−i−i−2i2i−2i2iii−i−iii−i−i0000−3−3−3−3333300000000000000−i3−i3i3i30000
χ332222-2-2222-2-22-2-22222-2-2222-22-2-2-22-22-2-2222-2-2-22-2200-220000000000000000000000000000002-20000002-2-2200000000
χ342222-2-2222-2-22-2-22222-2-2222-22-2-2-22-22-2-2222-2-2-22-2200-22000000000000000000000000000000-22000000-222-200000000
χ352222-2-222-1-2-22-2-22-1-1-1-2-222-1-22111-11-1-21-1-1-111121-1001-100003−3−3333−3−3−3−333000000000000002-200−333−3-111-100000000
χ362222-2-222-1-2-22-2-22-1-1-1-2-222-1-22111-11-1-21-1-1-111121-1001-100003−3−3333−3−3−3−33300000000000000-22003−3−331-1-1100000000
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χ4622-2-22-2-2-122-22-1-1-12-2-21111-1112-1-1-1-2-2-12211-211-11100-1-1−33−330000−33−33−33−330000i3i3−i3−i3i3i3−i3−i300002i−2i00000000−ii−ii0000
χ4722-2-2-22-222-222-2-222-2-222-2-222-2-2-2-222-2-2-22-2-222222-200-2200000000000000000000000000000000000000000000002-200
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χ874-4−4i4i000-24000−2i32i32-4−4i4i−23232i−2i-2000−2i32i32000002i−2i0−232300000000000000000000000−2ζ5−2ζ132ζ5+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-2000−2i32i32000002i−2i0−2323000000000000000000000002ζ5+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-20002i3−2i32000002i−2i023−2300000000000000000000000−2ζ5−2ζ132ζ5+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-20002i3−2i32000002i−2i023−23000000000000000000000002ζ5+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-400000400000−4i4i000000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-4000−4i34i344−4i4i43−43−4i4i20002i3−2i3-2000002i−2i0−2323000000000000000000000000000000000000000000000000000000000
χ938-88i−8i000-4-40004i3−4i344−4i4i−4343−4i4i2000−2i32i3-2000002i−2i023−23000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i0008-400000-844i−4i00−8i8i-4000004000004i−4i000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000−4i34i3444i−4i−43434i−4i20002i3−2i3-200000−2i2i023−23000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-40004i3−4i3444i−4i43−434i−4i2000−2i32i3-200000−2i2i0−2323000000000000000000000000000000000000000000000000000000000

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