Finite Group Databasebeta

← Group #11896046

Character table — Group #11896046

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444444444488888888888888888888888121212121818242424242424242424242424242436363636364848484872
order122233446666663446668812121212121212121212121281212121212122424242424242424242424242424242444444424444412121212121212124448861212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-111-11-1-111-1-1-1-111-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ511111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-111-1-1-1-11
χ611111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111111-1-1-1-111111-1-1-1-111-1
χ711111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-11111-1-1111-1-111-1-1-1
χ811111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11111111
χ9111111111111111-1-111111-1-111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-11-1-1-111-1-111-11-1111-11-1-1
χ10111111111111111-1-111111-1-111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11-11-1-11-1-1-1-111111-11-1-11-1-111
χ11111111111111111-1-111111-1-111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-111-11111-1-1-1-11-11-1-1-111-11
χ12111111111111111-1-111111-1-111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1111-1-111-1-1-11-111-11-11-1
χ13111111111111111-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11-1-1-11-1-111-1-1111-1111-11-11-1
χ14111111111111111-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-111-11-1-1-1-1-11111-11-1-1-1-111-11
χ15111111111111111-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-11-111111-1-1-1-1-11-1-1-11-1-111
χ16111111111111111-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1111-111-1-111-1-11-11111-11-1-1
χ17222222-2-222222222-22220022-2-2-2-2-2-2-2-2-2-202-222-2-20000000000000000000022000000000000002-2-20000000
χ18222222-2-222222222-22220022-2-2-2-2-2-2-2-2-2-202-222-2-200000000000000000000-2-200000000000000-2220000000
χ19222222-2-22222222-2222200-2-2-2-222-2-2-2-2-2-20-22-2-222000000000000000000002200000000000000-2-220000000
χ20222222-2-22222222-2222200-2-2-2-222-2-2-2-2-2-20-22-2-22200000000000000000000-2-20000000000000022-20000000
χ2122222-122-122-12-1-122-1-1-122-1-12-122-1-12-1-1-122-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000220200-1-10000-1-100000-1-1000
χ2222222-122-122-12-1-122-1-1-122-1-12-122-1-12-1-1-122-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-20000-2-20-200110000110000011000
χ2322222-122-122-12-1-122-1-1-1-2-2-1-12-122-1-12-1-1-1-22-1-1-1-1-1-2-2111111-2-2111111220000-2-20200-1-10000-1-10000011000
χ2422222-122-122-12-1-122-1-1-1-2-2-1-12-122-1-12-1-1-1-22-1-1-1-1-1-2-2111111-2-2111111-2-20000220-2001100001100000-1-1000
χ2522222-122-122-12-1-1-2-2-1-1-122112-1-2-2-1-12-1-1-1-2-21111122-1-1-1-1-1-1-2-21111112200002-20-200110000-1-100000-11000
χ2622222-122-122-12-1-1-2-2-1-1-122112-1-2-2-1-12-1-1-1-2-21111122-1-1-1-1-1-1-2-2111111-2-20000-220200-1-1000011000001-1000
χ2722222-122-122-12-1-1-2-2-1-1-1-2-2112-1-2-2-1-12-1-1-12-211111-2-211111122-1-1-1-1-1-1220000-220-200110000-1-1000001-1000
χ2822222-122-122-12-1-1-2-2-1-1-1-2-2112-1-2-2-1-12-1-1-12-211111-2-211111122-1-1-1-1-1-1-2-200002-20200-1-100001100000-11000
χ292222-12222-1-12-12-122-1-1-12222-12-1-1-1-1-12-1-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100220000202200-1-1-1-1000000000-1-10
χ302222-12222-1-12-12-122-1-1-12222-12-1-1-1-1-12-1-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-20000-20-2-2001111000000000110
χ312222-12222-1-12-12-122-1-1-1-2-222-12-1-1-1-1-12-1-1-2-12-1-1-1-111-2-2111111-2-211110022000020-2-200-1-1-1-1000000000110
χ322222-12222-1-12-12-122-1-1-1-2-222-12-1-1-1-1-12-1-1-2-12-1-1-1-111-2-2111111-2-2111100-2-20000-2022001111000000000-1-10
χ332222-12222-1-12-12-1-2-2-1-1-122-2-2-1211-1-1-12-1-1-21-21111-1-122-1-1-1-111-2-2111100220000-202-200-1-111000000000-110
χ342222-12222-1-12-12-1-2-2-1-1-122-2-2-1211-1-1-12-1-1-21-21111-1-122-1-1-1-111-2-2111100-2-2000020-220011-1-10000000001-10
χ352222-12222-1-12-12-1-2-2-1-1-1-2-2-2-2-1211-1-1-12-1-121-2111111-2-21111-1-122-1-1-1-100220000-20-2200-1-1110000000001-10
χ362222-12222-1-12-12-1-2-2-1-1-1-2-2-2-2-1211-1-1-12-1-121-2111111-2-21111-1-122-1-1-1-100-2-20000202-20011-1-1000000000-110
χ3722-2-222-22-22-2-2-222002-2-20000-2-200-2-22222000000000000000000000002-22i−2i00000000002i−2i002-20002i−2i00000
χ3822-2-222-22-22-2-2-222002-2-20000-2-200-2-22222000000000000000000000002-2−2i2i0000000000−2i2i002-2000−2i2i00000
χ3922-2-222-22-22-2-2-222002-2-20000-2-200-2-2222200000000000000000000000-222i−2i00000000002i−2i00-22000−2i2i00000
χ4022-2-222-22-22-2-2-222002-2-20000-2-200-2-2222200000000000000000000000-22−2i2i0000000000−2i2i00-220002i−2i00000
χ4144444-2-4-4-244-24-2-24-4-2-2-200-2-2-42-4-422-4222042-2-2220000000000000000000000000000000000000000000000
χ4244444-2-4-4-244-24-2-2-44-2-2-20022-424422-42220-4-222-2-20000000000000000000000000000000000000000000000
χ434444-24-4-44-2-24-24-24-4-2-2-200442-422222-4220-2-4-2-2220000000000000000000000000000000000000000000000
χ444444-24-4-44-2-24-24-2-44-2-2-200-4-42-4-2-2222-42202422-2-20000000000000000000000000000000000000000000000
χ454444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-211-2-2114-2-21111-2-2-2-21111-2-2-2-21111000000000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-2-211-2-211-4-2-211112222-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-41114422-2-22211-2-211-422-1-1-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-4-422-2-22211-2-211422-1-1-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000
χ494444-2-2-4-4-2-2-2-2-2-214-411100-2-22222-1-122-1-10-2211-1-100003i3i−3i−3i00003i3i−3i−3i000000000000000000000000000000
χ504444-2-2-4-4-2-2-2-2-2-214-411100-2-22222-1-122-1-10-2211-1-10000−3i−3i3i3i0000−3i−3i3i3i000000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-21-44111002222-2-2-1-122-1-102-2-1-11100003i3i−3i−3i0000−3i−3i3i3i000000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-44111002222-2-2-1-122-1-102-2-1-1110000−3i−3i3i3i00003i3i−3i−3i000000000000000000000000000000
χ5344-4-4444-4-44-4-4-444004-4-40000440044-4-4-4-400000000000000000000000000000000000000000000000000000
χ5444-4-44-24-424-42-4-2-200-22200004-200-2-2-42220000000000000000000000000000000000023−230000000000000000
χ5544-4-44-24-424-42-4-2-200-22200004-200-2-2-422200000000000000000000000000000000000−23230000000000000000
χ5644-4-44-2-4424-42-4-2-200-2220000-4200224-2-2-2000000000000000000000004-40000000000000000-220000000000
χ5744-4-44-2-4424-42-4-2-200-2220000-4200224-2-2-200000000000000000000000-4400000000000000002-20000000000
χ5844-4-4-244-4-4-22-424-200-2220000-2400-2-22-422000000000000000000000000000000000000000−2i32i3000000000000
χ5944-4-4-244-4-4-22-424-200-2220000-2400-2-22-4220000000000000000000000000000000000000002i3−2i3000000000000
χ6044-4-4-24-44-4-22-424-200-22200002-40022-24-2-200000000000000000000000004i−4i0000000000−2i2i00000000000000
χ6144-4-4-24-44-4-22-424-200-22200002-40022-24-2-20000000000000000000000000−4i4i00000000002i−2i00000000000000
χ624-44-444004-44-4-4-4400-44-4000000000000000000000000000000000000000004-4000000000000000000000000
χ634-44-444004-44-4-4-4400-44-400000000000000000000000000000000000000000-44000000000000000000000000
χ644-4-444400-4-4-444-4400-4-44−2i22i20000000000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000
χ654-4-444400-4-4-444-4400-4-442i2−2i200000000000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000
χ664-4-444-2002-4-4-242-20022-2−2i22i223−23000000000000023−2300−2i22i2i2−i2i2−i2i2−i200i6−i6i6−i6i6−i6000000000000000000000000000000
χ674-4-444-2002-4-4-242-20022-2−2i22i2−23230000000000000−232300−2i22i2i2−i2i2−i2i2−i200−i6i6−i6i6−i6i6000000000000000000000000000000
χ684-4-444-2002-4-4-242-20022-22i2−2i223−23000000000000023−23002i2−2i2−i2i2−i2i2−i2i200−i6i6−i6i6−i6i6000000000000000000000000000000
χ694-4-444-2002-4-4-242-20022-22i2−2i2−23230000000000000−2323002i2−2i2−i2i2−i2i2−i2i200i6−i6i6−i6i6−i6000000000000000000000000000000
χ704-4-44-2400-4224-2-4-20022-2−2i22i20000−2i32i300000000000−2i32i3i2−i2−2i22i2i2−i2i2−i26−6006−6−66000000000000000000000000000000
χ714-4-44-2400-4224-2-4-20022-2−2i22i200002i3−2i3000000000002i3−2i3i2−i2−2i22i2i2−i2i2−i2−6600−666−6000000000000000000000000000000
χ724-4-44-2400-4224-2-4-20022-22i2−2i20000−2i32i300000000000−2i32i3−i2i22i2−2i2−i2i2−i2i2−6600−666−6000000000000000000000000000000
χ734-4-44-2400-4224-2-4-20022-22i2−2i200002i3−2i3000000000002i3−2i3−i2i22i2−2i2−i2i2−i2i26−6006−6−66000000000000000000000000000000
χ744-4-44-2-200222-2-22100-1-11−2i22i223−2300−2i32i33i−3i003i−3i000−33i3−i3i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000
χ754-4-44-2-200222-2-22100-1-11−2i22i223−23002i3−2i3−3i3i00−3i3i000−33−i3i3i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ764-4-44-2-200222-2-22100-1-11−2i22i2−232300−2i32i3−3i3i00−3i3i0003−3i3−i3i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ236−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ774-4-44-2-200222-2-22100-1-11−2i22i2−2323002i3−2i33i−3i003i−3i0003−3−i3i3i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000
χ784-4-44-2-200222-2-22100-1-112i2−2i223−2300−2i32i33i−3i003i−3i000−33i3−i3−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000
χ794-4-44-2-200222-2-22100-1-112i2−2i223−23002i3−2i3−3i3i00−3i3i000−33−i3i3−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ236−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ804-4-44-2-200222-2-22100-1-112i2−2i2−232300−2i32i3−3i3i00−3i3i0003−3i3−i3−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ814-4-44-2-200222-2-22100-1-112i2−2i2−2323002i3−2i33i−3i003i−3i0003−3−i3i3−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000
χ8288-8-8-4-48-84-4444-42002-2-20000-4-4002244-2-200000000000000000000000000000000000000000000000000000
χ8388-8-8-4-4-884-4444-42002-2-200004400-2-2-4-42200000000000000000000000000000000000000000000000000000
χ848-88-88-400-4-884-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-480084-4-84-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-400-44-4444200-22-2000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ878-88-8-4-400-44-4444200-22-200000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000

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