Finite Group Databasebeta

← Group #11793996

Character table — Group #11793996

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order1244222334446666121212121212366666666121212121212121212446612121212121212121212121212121212121288882424242424242424224444666612121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1111111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1-1-111-1-111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-1111111-1-1
χ922222222-1222222-12222-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000002022200-1-100-1-1-1-1-1-10000
χ1022222222-1222222-12222-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000-20-2-2-20011001111110000
χ1122222222-1222222-12222-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-12-2-2-1-1-2-2-2-2-1-11111111111110000000000000202-2-200-1-100-1-111110000
χ1222222222-1222222-12222-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-12-2-2-1-1-2-2-2-2-1-11111111111110000000000000-20-22200110011-1-1-1-10000
χ132222222-12222-1-1-12-1-1-1-122-1-1-122-1-1-12-1222-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1202000-1-100-1-10000000000
χ142222222-12222-1-1-12-1-1-1-122-1-1-122-1-1-12-1222-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-20-20001100110000000000
χ152222222-12222-1-1-12-1-1-1-122-1-1-122-1-1-12-1222-1-1-1-1-1-2-2-1-11111-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-20-20001100110000000000
χ162222222-12222-1-1-12-1-1-1-122-1-1-122-1-1-12-1222-1-1-1-1-1-2-2-1-11111-1-1-2-2-2-211111111-2-2-2-211111111202000-1-100-1-10000000000
χ1722222-2-2222-2-222222222222-2-2-22222-2-22-2-22222-200-2-20000-2-20000000000000000000000000000000000000000002i−2i00
χ1822222-2-2222-2-222222222222-2-2-22222-2-22-2-22222-200-2-20000-2-2000000000000000000000000000000000000000000−2i2i00
χ192222-22-222-2-22-2-22222-2-22222-2-2-22-2-22-2-22-222-2-22002-200002-2000000000000000000000000000000000000000000002-2
χ202222-22-222-2-22-2-22222-2-22222-2-2-22-2-22-2-22-222-2-22002-200002-200000000000000000000000000000000000000000000-22
χ212222-2-2222-22-2-2-22222-2-2222-222-22-2-2-22-2-2222-2-2-22i−2i-222i2i−2i−2i-222i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000
χ222222-2-2222-22-2-2-22222-2-2222-222-22-2-2-22-2-2222-2-2-2−2i2i-22−2i−2i2i2i-22−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000
χ232222-2-222-1-22-2-2-22-122-2-2-1-1-1-22-11-1111211-1-1-111-22i−2i1-12i2i−2i−2i1-1−i−iii−i−i−i−iiiii00000000000000000000−i3i300−i3i333−3−30000
χ242222-2-222-1-22-2-2-22-122-2-2-1-1-1-22-11-1111211-1-1-111-22i−2i1-12i2i−2i−2i1-1−i−iii−i−i−i−iiiii00000000000000000000i3−i300i3−i3−3−3330000
χ252222-2-222-1-22-2-2-22-122-2-2-1-1-1-22-11-1111211-1-1-111-2−2i2i1-1−2i−2i2i2i1-1ii−i−iiiii−i−i−i−i00000000000000000000−i3i300−i3i3−3−3330000
χ262222-2-222-1-22-2-2-22-122-2-2-1-1-1-22-11-1111211-1-1-111-2−2i2i1-1−2i−2i2i2i1-1ii−i−iiiii−i−i−i−i00000000000000000000i3−i300i3−i333−3−30000
χ272222-2-22-12-22-211-12-1-11122-11-12-2-111-2-1-2-22-1-11112i−2i1-1−i−iii1-12i2i−2i−2i−i−i−i−iiiii00003333−3−3−3−3000000−i3i300−i3i30000000000
χ282222-2-22-12-22-211-12-1-11122-11-12-2-111-2-1-2-22-1-11112i−2i1-1−i−iii1-12i2i−2i−2i−i−i−i−iiiii0000−3−3−3−33333000000i3−i300i3−i30000000000
χ292222-2-22-12-22-211-12-1-11122-11-12-2-111-2-1-2-22-1-1111−2i2i1-1ii−i−i1-1−2i−2i2i2iiiii−i−i−i−i00003333−3−3−3−3000000i3−i300i3−i30000000000
χ302222-2-22-12-22-211-12-1-11122-11-12-2-111-2-1-2-22-1-1111−2i2i1-1ii−i−i1-1−2i−2i2i2iiiii−i−i−i−i0000−3−3−3−33333000000−i3i300−i3i30000000000
χ3122-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200220000-2-200000000000000000000000000002-2000000002-22-20000
χ3222-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200220000-2-20000000000000000000000000000-2200000000-22-220000
χ3322-2-22222-1-2-2-2222-1-2-2-2-211-122-1-1-1-1-1-1-21111111-200-1-1000011−i3i3−i3i3−i3−i3i3i3−i3−i3i3i300000000000000002-200−i3i300i3−i3-11-110000
χ3422-2-22222-1-2-2-2222-1-2-2-2-211-122-1-1-1-1-1-1-21111111-200-1-1000011−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30000000000000000-2200i3−i300−i3i31-11-10000
χ3522-2-22222-1-2-2-2222-1-2-2-2-211-122-1-1-1-1-1-1-21111111-200-1-1000011i3−i3i3−i3i3i3−i3−i3i3i3−i3−i300000000000000002-200i3−i300−i3i3-11-110000
χ3622-2-22222-1-2-2-2222-1-2-2-2-211-122-1-1-1-1-1-1-21111111-200-1-1000011i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000-2200−i3i300i3−i31-11-10000
χ3722-2-22-2-222-2222222-2-2-2-2-2-22-2-2-22222-22-222-2-2-2-2200-2-200002200000000000000000000000020-20002200-2-20000000000
χ3822-2-22-2-222-2222222-2-2-2-2-2-22-2-2-22222-22-222-2-2-2-2200-2-2000022000000000000000000000000-202000-2-200220000000000
χ3922-2-22-2-2-12-222-1-1-121111-2-2-111-22-1-1-1-2-1-2221111-10011−i3i3−i3i3-1-10000−i3i3−i3i3−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i320-2000-1-100110000000000
χ4022-2-22-2-2-12-222-1-1-121111-2-2-111-22-1-1-1-2-1-2221111-10011−i3i3−i3i3-1-10000−i3i3−i3i3−i3i3−i3i30000i3i3−i3−i3i3i3−i3−i3-2020001100-1-10000000000
χ4122-2-22-2-2-12-222-1-1-121111-2-2-111-22-1-1-1-2-1-2221111-10011i3−i3i3−i3-1-10000i3−i3i3−i3i3−i3i3−i30000−i3−i3i3i3−i3−i3i3i3-2020001100-1-10000000000
χ4222-2-22-2-2-12-222-1-1-121111-2-2-111-22-1-1-1-2-1-2221111-10011i3−i3i3−i3-1-10000i3−i3i3−i3i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i320-2000-1-100110000000000
χ4322-2-2-22-22222-2-2-222-2-222-2-222-2-2-22-2-2222-22-2-222-2002-20000-220000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ4422-2-2-22-22222-2-2-222-2-222-2-222-2-2-22-2-2222-22-2-222-2002-20000-22000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ4522-2-2-22-2-1222-211-1211-1-1-2-2-1-11-2-2-1112-12-2211-1-1100-113−3−331-100003−33−3−33−332i2i−2i−2i−i−iiiii−i−i000000−i3i300i3−i30000000000
χ4622-2-2-22-2-1222-211-1211-1-1-2-2-1-11-2-2-1112-12-2211-1-1100-113−3−331-100003−33−3−33−33−2i−2i2i2iii−i−i−i−iii000000i3−i300−i3i30000000000
χ4722-2-2-22-2-1222-211-1211-1-1-2-2-1-11-2-2-1112-12-2211-1-1100-11−333−31-10000−33−333−33−32i2i−2i−2i−i−iiiii−i−i000000i3−i300−i3i30000000000
χ4822-2-2-22-2-1222-211-1211-1-1-2-2-1-11-2-2-1112-12-2211-1-1100-11−333−31-10000−33−333−33−3−2i−2i2i2iii−i−i−i−iii000000−i3i300i3−i30000000000
χ4922-2-2-2-22222-22-2-222-2-222-2-22-222-22-2-2-2-222-2-2-222200-2200002-2000000000000000000000000020-200002200-2-200000000
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χ5122-2-2-2-222-12-22-2-22-1-2-22211-1-22-11-1111-2-1-1111-1-12001-10000-113−3−3333−3−3−3−333000000000000020-20000-1-100113−3−330000
χ5222-2-2-2-222-12-22-2-22-1-2-22211-1-22-11-1111-2-1-1111-1-12001-10000-113−3−3333−3−3−3−3330000000000000-20200001100-1-1−333−30000
χ5322-2-2-2-222-12-22-2-22-1-2-22211-1-22-11-1111-2-1-1111-1-12001-10000-11−333−3−3−33333−3−3000000000000020-20000-1-10011−333−30000
χ5422-2-2-2-222-12-22-2-22-1-2-22211-1-22-11-1111-2-1-1111-1-12001-10000-11−333−3−3−33333−3−30000000000000-20200001100-1-13−3−330000
χ554444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-21111-24411-2-2-2-211-2-2-2-2111111110000000000000000000000000000000000
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χ5844444-4-4-244-4-4-2-2-24-2-2-2-244-222-44-2-2-2-424-4-4-2-2-2-2200220000220000000000000000000000000000000000000000000000
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χ6044444-4-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21222-211122-2221111200-1-10000-1-10000-333-3-333-30000000000000000000000000000000000
χ614444-44-44-2-4-44-4-44-244-4-4-2-2-24-422-222-2-42-22-2-222400-220000-220000000000000000000000000000000000000000000000
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χ664444-4-44-2-2-44-422-2-2-2-222-2-212-2-221-1-12-222-211-1-12−4i4i-112i2i−2i−2i-112i2i−2i−2i−i−i−i−iiiii0000000000000000000000000000000000
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χ7444-4-4-44-4-2-244-422-2-222-2-2221-22221-1-1-2-2-22-2-1-1112001-123−23−2323-110000−33−333−33−30000000000000000000000000000000000
χ7544-4-4-44-4-2-244-422-2-222-2-2221-22221-1-1-2-2-22-2-1-1112001-1−232323−23-1100003−33−3−33−330000000000000000000000000000000000
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χ864-4−4i4i0004400000-4-4−4i4i00−4i4i40000-40000000−4i4i00000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000
χ874-4−4i4i000-24000−2i32i32-42i−2i−2323−4i4i-200002−2i32i3000002i−2i−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
χ884-4−4i4i000-24000−2i32i32-42i−2i−2323−4i4i-200002−2i32i3000002i−2i−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
χ894-4−4i4i000-240002i3−2i32-42i−2i23−23−4i4i-2000022i3−2i3000002i−2i23−2300000000000000000000000−2ζ5−2ζ132ζ5+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
χ904-4−4i4i000-240002i3−2i32-42i−2i23−23−4i4i-2000022i3−2i3000002i−2i23−23000000000000000000000002ζ5+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−8i0008-400000-848i−8i00−4i4i-4000040000000−4i4i00000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-4000−4i34i344−4i4i43−43−4i4i20000-22i3−2i3000002i−2i−2323000000000000000000000000000000000000000000000000000000000
χ938-88i−8i000-4-40004i3−4i344−4i4i−4343−4i4i20000-2−2i32i3000002i−2i23−23000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i0008-400000-84−8i8i004i−4i-40000400000004i−4i00000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000−4i34i3444i−4i−43434i−4i20000-22i3−2i300000−2i2i23−23000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-40004i3−4i3444i−4i43−434i−4i20000-2−2i32i300000−2i2i−2323000000000000000000000000000000000000000000000000000000000

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