Finite Group Databasebeta

← Group #11788884

Character table — Group #11788884

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222334444666612123666666661212121212121212121212668812122424242424242424242424242424242422448888226666668812122424242424242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-11111-1-1
χ91111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1ii−i−i1-11-111-1-1i−i1-1ii−i−iii−i−iii−i−i1-1
χ101111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1−i−iii-111-1-1-111i−i1-1ii−i−i−i−iii−i−iii-11
χ111111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11ii−i−i1-1-1111-1-1−ii-11−i−iiiii−i−i−i−iii-11
χ121111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−i−iii-11-11-1-111−ii-11−i−iii−i−iiiii−i−i1-1
χ131111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1ii−i−i-111-1-1-111−ii1-1−i−iiiii−i−iii−i−i-11
χ141111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−iii1-11-111-1-1−ii1-1−i−iii−i−iii−i−iii1-1
χ151111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11ii−i−i-11-11-1-111i−i-11ii−i−iii−i−i−i−iii1-1
χ161111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11−i−iii1-1-1111-1-1i−i-11ii−i−i−i−iiiii−i−i-11
χ17222222-12222-1-1-1222-1222-1-1-1-1-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1000022222200-1-1-1-100000000-1-1-1-1000000
χ18222222-12222-1-1-1222-1222-1-1-1-1-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-2-2-2001111000000001111000000
χ19222222-12222-1-1-1222-1222-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-2-2-1-1-2-2111111-2-211111100002222-2-200111100000000-1-1-1-1000000
χ20222222-12222-1-1-1222-1222-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-2-2-1-1-2-2111111-2-21111110000-2-2-2-22200-1-1-1-1000000001111000000
χ21222222-1-2-2-2-2-1-1-12-2-2-1222-1-1-1-1-111-2111-2111-2-1-12i−2i112i2i−i−i−i−i−i−i−2i−2iiiiiii00002i2i−2i−2i2-200-1-11100000000−i−iii000000
χ22222222-1-2-2-2-2-1-1-12-2-2-1222-1-1-1-1-111-2111-2111-2-1-12i−2i112i2i−i−i−i−i−i−i−2i−2iiiiiii0000−2i−2i2i2i-220011-1-100000000ii−i−i000000
χ23222222-1-2-2-2-2-1-1-12-2-2-1222-1-1-1-1-111-2111-2111-2-1-1−2i2i11−2i−2iiiiiii2i2i−i−i−i−i−i−i00002i2i−2i−2i-220011-1-100000000−i−iii000000
χ24222222-1-2-2-2-2-1-1-12-2-2-1222-1-1-1-1-111-2111-2111-2-1-1−2i2i11−2i−2iiiiiii2i2i−i−i−i−i−i−i0000−2i−2i2i2i2-200-1-11100000000ii−i−i000000
χ2522222-122222222-1-1-1-1-1-1-122-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12222000000-1-1000022-1-1-1-1-1-10000000000
χ2622222-122222222-1-1-1-1-1-1-122-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-2000000110000-2-21111110000000000
χ2722222-122222222-1-1-1-1-1-1-122-1-1-122-1-1-12-1-1-12-1-1-1-2-2-1-111-2-2111111-2-211112222000000-1-10000-2-2-1-111110000000000
χ2822222-122222222-1-1-1-1-1-1-122-1-1-122-1-1-12-1-1-12-1-1-1-2-2-1-111-2-2111111-2-21111-2-2-2-20000001100002211-1-1-1-10000000000
χ2922222-12-2-2-2-2222-111-1-1-1-122-1-1-1-2-2111-2111-21-1-12i−2i11−i−i2i2i−i−i−i−iii−2i−2iiiii2-22-2000000-1100002i−2i-11−i−iii0000000000
χ3022222-12-2-2-2-2222-111-1-1-1-122-1-1-1-2-2111-2111-21-1-12i−2i11−i−i2i2i−i−i−i−iii−2i−2iiiii-22-220000001-10000−2i2i1-1ii−i−i0000000000
χ3122222-12-2-2-2-2222-111-1-1-1-122-1-1-1-2-2111-2111-21-1-1−2i2i11ii−2i−2iiiii−i−i2i2i−i−i−i−i2-22-2000000-110000−2i2i-11ii−i−i0000000000
χ3222222-12-2-2-2-2222-111-1-1-1-122-1-1-1-2-2111-2111-21-1-1−2i2i11ii−2i−2iiiii−i−i2i2i−i−i−i−i-22-220000001-100002i−2i1-1−i−iii0000000000
χ33222-2-22222-2-222222222-2-2-2-22222-2-2222222-2-2-2-200-2-2000000000000000000000000000000000000000000002i−2i2i−2i00
χ34222-2-22222-2-222222222-2-2-2-22222-2-2222222-2-2-2-200-2-200000000000000000000000000000000000000000000−2i2i−2i2i00
χ35222-2-222-2-2222222-2-222-2-2-2-2222-222-2-2-2-2-2-222-2-20022000000000000000000000000000000000000000000002-2-2200
χ36222-2-222-2-2222222-2-222-2-2-2-2222-222-2-2-2-2-2-222-2-2002200000000000000000000000000000000000000000000-222-200
χ3722-22-2222-22-2-2-222222-22-22-2-2-2222-222-2-2-2-2-222-2002-2000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i000000
χ3822-22-2222-22-2-2-222222-22-22-2-2-2222-222-2-2-2-2-222-2002-200000000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000
χ3922-22-222-22-22-2-222-2-22-22-22-2-2-22-2-22-2-222222-22-200-22000000000000000000002-2-2200000000000000002-2-22000000
χ4022-22-222-22-22-2-222-2-22-22-22-2-2-22-2-22-2-222222-22-200-2200000000000000000000-222-20000000000000000-222-2000000
χ4122-22-22-12-22-211-1222-1-22-2-1111-1-1-1-2-1-11-21112-1100-11003−333−3−3003−333−3−300002i−2i2i−2i0000−i3i3−i3i300000000−ii−ii000000
χ4222-22-22-12-22-211-1222-1-22-2-1111-1-1-1-2-1-11-21112-1100-11003−333−3−3003−333−3−30000−2i2i−2i2i0000i3−i3i3−i300000000i−ii−i000000
χ4322-22-22-12-22-211-1222-1-22-2-1111-1-1-1-2-1-11-21112-1100-1100−33−3−33300−33−3−33300002i−2i2i−2i0000i3−i3i3−i300000000−ii−ii000000
χ4422-22-22-12-22-211-1222-1-22-2-1111-1-1-1-2-1-11-21112-1100-1100−33−3−33300−33−3−3330000−2i2i−2i2i0000−i3i3−i3i300000000i−ii−i000000
χ4522-22-22-1-22-2211-12-2-2-1-22-2-1111-111211-12-1-1-1-2-11001-100−i3i3−i3−i3i3i300i3−i3i3i3−i3−i300002-2-220000−i3i3i3−i300000000-111-1000000
χ4622-22-22-1-22-2211-12-2-2-1-22-2-1111-111211-12-1-1-1-2-11001-100−i3i3−i3−i3i3i300i3−i3i3i3−i3−i30000-222-20000i3−i3−i3i3000000001-1-11000000
χ4722-22-22-1-22-2211-12-2-2-1-22-2-1111-111211-12-1-1-1-2-11001-100i3−i3i3i3−i3−i300−i3i3−i3−i3i3i300002-2-220000i3−i3−i3i300000000-111-1000000
χ4822-22-22-1-22-2211-12-2-2-1-22-2-1111-111211-12-1-1-1-2-11001-100i3−i3i3i3−i3−i300−i3i3−i3−i3i3i30000-222-20000−i3i3i3−i3000000001-1-11000000
χ4922-2-22222-2-22-2-222222-2-22-22-2-222-2222-2-2-2-22-2-2200-2200000000000000002-2-220000002-2000000-2200000000000000
χ5022-2-22222-2-22-2-222222-2-22-22-2-222-2222-2-2-2-22-2-2200-220000000000000000-222-2000000-220000002-200000000000000
χ5122-2-2222-222-2-2-222-2-22-2-22-22-2-22-22-2-2-22222-22-22002-2000000000000000022-2-200000022000000-2-200000000000000
χ5222-2-2222-222-2-2-222-2-22-2-22-22-2-22-22-2-2-22222-22-22002-20000000000000000-2-222000000-2-20000002200000000000000
χ5322-2-22-122-2-22-2-22-1-1-1-111-1-2211-12-2-1-1-1-2111211-1001-13−3003−33−33−3003−33−32-2-22000000-110000001-13−33−30000000000
χ5422-2-22-122-2-22-2-22-1-1-1-111-1-2211-12-2-1-1-1-2111211-1001-13−3003−33−33−3003−33−3-222-20000001-1000000-11−33−330000000000
χ5522-2-22-122-2-22-2-22-1-1-1-111-1-2211-12-2-1-1-1-2111211-1001-1−3300−33−33−3300−33−332-2-22000000-110000001-1−33−330000000000
χ5622-2-22-122-2-22-2-22-1-1-1-111-1-2211-12-2-1-1-1-2111211-1001-1−3300−33−33−3300−33−33-222-20000001-1000000-113−33−30000000000
χ5722-2-22-12-222-2-2-22-111-111-1-2211-1-221112-1-1-1-2-11-100-11−i3i300−i3i3−i3i3i3−i300i3−i3i3−i322-2-2000000-1-100000011−i3i3i3−i30000000000
χ5822-2-22-12-222-2-2-22-111-111-1-2211-1-221112-1-1-1-2-11-100-11−i3i300−i3i3−i3i3i3−i300i3−i3i3−i3-2-22200000011000000-1-1i3−i3−i3i30000000000
χ5922-2-22-12-222-2-2-22-111-111-1-2211-1-221112-1-1-1-2-11-100-11i3−i300i3−i3i3−i3−i3i300−i3i3−i3i322-2-2000000-1-100000011i3−i3−i3i30000000000
χ6022-2-22-12-222-2-2-22-111-111-1-2211-1-221112-1-1-1-2-11-100-11i3−i300i3−i3i3−i3−i3i300−i3i3−i3i3-2-22200000011000000-1-1−i3i3i3−i30000000000
χ6144444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-211-2-211-2-2114411-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-211-2-211-2-211-4-4112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ6344444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-2111222-1-122-1-122114i−4i-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-2111222-1-122-1-12211−4i4i-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000000000000000000000
χ65444-4-44-244-4-4-2-2-2444-24-4-422-2-2-2-22-4-2-2-24-2-22-422002200000000000000000000000000000000000000000000000000
χ66444-4-44-2-4-444-2-2-24-4-4-24-4-422-2-2-22-24222-422-242200-2-200000000000000000000000000000000000000000000000000
χ67444-4-4-2444-4-4444-2-2-2-2-222-4-4-2-2-24-42-2-24-2-2-2-4222002200000000000000000000000000000000000000000000000000
χ68444-4-4-24-4-444444-222-2-222-4-4-2-2-2-44-222-42224-22200-2-200000000000000000000000000000000000000000000000000
χ69444-4-4-2-244-4-4-2-2-2-2-2-21-22222111-22211-2-21122-1-100-1-100003-3-3300003-3-330000000000000000000000000000000000
χ70444-4-4-2-244-4-4-2-2-2-2-2-21-22222111-22211-2-21122-1-100-1-10000-333-30000-333-30000000000000000000000000000000000
χ71444-4-4-2-2-4-444-2-2-2-2221-222221112-2-2-1-122-1-1-2-2-1-1001100003i−3i−3i3i0000−3i3i3i−3i0000000000000000000000000000000000
χ72444-4-4-2-2-4-444-2-2-2-2221-222221112-2-2-1-122-1-1-2-2-1-100110000−3i3i3i−3i00003i−3i−3i3i0000000000000000000000000000000000
χ7344-44-4-244-44-4-4-44-2-2-2-22-224-422-2442-2-2-4222-4-2-2200-2200000000000000000000000000000000000000000000000000
χ7444-44-4-24-44-44-4-44-222-22-224-422-2-4-4-2224-2-2-242-22002-200000000000000000000000000000000000000000000000000
χ7544-44-4-2-24-44-422-2-2-2-212-22-22-1-11-2-221122-1-12-21-1001-10023−23−3−3330023−23−3−3330000000000000000000000000000000000
χ7644-44-4-2-24-44-422-2-2-2-212-22-22-1-11-2-221122-1-12-21-1001-100−232333−3−300−232333−3−30000000000000000000000000000000000
χ7744-44-4-2-2-44-4422-2-22212-22-22-1-1122-2-1-1-2-211-221-100-1100−2i32i3i3i3−i3−i3002i3−2i3−i3−i3i3i30000000000000000000000000000000000
χ7844-44-4-2-2-44-4422-2-22212-22-22-1-1122-2-1-1-2-211-221-100-11002i3−2i3−i3−i3i3i300−2i32i3i3i3−i3−i30000000000000000000000000000000000
χ7944-4-444-24-4-4422-2444-2-4-442-222-2-224-2-22-422-2-42-2002-200000000000000000000000000000000000000000000000000
χ8044-4-444-2-444-422-24-4-4-2-4-442-222-22-2-422-24-2-2242-200-2200000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-4422-2-2-2-2122-22-2-1-11-22-21122-1-1-22-1100-1123−2300−33−3323−2300−33−330000000000000000000000000000000000
χ8244-4-44-2-24-4-4422-2-2-2-2122-22-2-1-11-22-21122-1-1-22-1100-11−2323003−33−3−2323003−33−30000000000000000000000000000000000
χ8344-4-44-2-2-444-422-2-222122-22-2-1-112-22-1-1-2-2112-2-11001-1−2i32i300i3−i3i3−i32i3−2i300−i3i3−i3i30000000000000000000000000000000000
χ8444-4-44-2-2-444-422-2-222122-22-2-1-112-22-1-1-2-2112-2-11001-12i3−2i300−i3i3−i3i3−2i32i300i3−i3i3−i30000000000000000000000000000000000
χ858-800088000000-8-80080000000-80000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000−4i34i34-800-400000−4i34i340000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-400004i3−4i34-800-4000004i3−4i340000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-48000000-8443−43-40000000400043−4300000000000000000000000000000000000000000000000000000000000000
χ898-8000-48000000-84−4343-400000004000−434300000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i34443−432000002i3−2i3-2000−2323006i−6i0000000000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i344−43432000002i3−2i3-200023−2300−6i6i0000000000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i34443−43200000−2i32i3-2000−232300−6i6i0000000000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i344−4343200000−2i32i3-200023−23006i−6i0000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).