Finite Group Databasebeta

← Group #11792377

Character table — Group #11792377

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order1222233444466661212366666666121212121212121212121266881212242424242424242424242424242424242244444466661212121212121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-11-1-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-111-1-1-1-1111111-1-1
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-11111-1-1-1-111-1-1
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111111111-1-111
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000002-200
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000000000000000-2200
χ11222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10200022200-1-1-1-1000000-1-1-1-10000
χ12222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10-2000-2-2-200111100000011110000
χ13222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-2-2-211111111020002-2-200-1-1-1-100000011110000
χ14222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-2-2-2111111110-2000-222001111000000-1-1-1-10000
χ1522222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-120222000-1-10000-1-1-1-1-1-100000000
χ1622222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-20-2-2-200011000011111100000000
χ1722222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111202-2-2000-1-10000-1-1111100000000
χ1822222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111-20-22200011000011-1-1-1-100000000
χ19222-2-22222-2-22222-2-22-2-22-2222-222-222-2-2-2-2-2-2-2-2002200000000000000000000002i−2i0000000000002i2i−2i−2i0000
χ20222-2-22222-2-22222-2-22-2-22-2222-222-222-2-2-2-2-2-2-2-200220000000000000000000000−2i2i000000000000−2i−2i2i2i0000
χ21222-2-222-2-2222222222-2-22-2222-2-2-22-2-2222222-2-200-2-2000000000000000020-200000220000-2-2000000000000
χ22222-2-222-2-2222222222-2-22-2222-2-2-22-2-2222222-2-200-2-20000000000000000-20200000-2-2000022000000000000
χ23222-2-22-122-2-222-1211-1-2-2-11-1-1-11-1-1122-211-2111100-1-133−3−300003333−3−3−3−30000002i−2i00−i3i3−i3i3000000−i−iii0000
χ24222-2-22-122-2-222-1211-1-2-2-11-1-1-11-1-1122-211-2111100-1-133−3−300003333−3−3−3−3000000−2i2i00i3−i3i3−i3000000ii−i−i0000
χ25222-2-22-122-2-222-1211-1-2-2-11-1-1-11-1-1122-211-2111100-1-1−3−3330000−3−3−3−333330000002i−2i00i3−i3i3−i3000000−i−iii0000
χ26222-2-22-122-2-222-1211-1-2-2-11-1-1-11-1-1122-211-2111100-1-1−3−3330000−3−3−3−33333000000−2i2i00−i3i3−i3i3000000ii−i−i0000
χ27222-2-2-12-2-222-1-12-122-1112-2-1-1-1-2-2-2211-1-1-1-1-1-11100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i320-200000-1-1000011−i3−i3i3i300000000
χ28222-2-2-12-2-222-1-12-122-1112-2-1-1-1-2-2-2211-1-1-1-1-1-11100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-20200000110000-1-1i3i3−i3−i300000000
χ29222-2-2-12-2-222-1-12-122-1112-2-1-1-1-2-2-2211-1-1-1-1-1-11100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i320-200000-1-1000011i3i3−i3−i300000000
χ30222-2-2-12-2-222-1-12-122-1112-2-1-1-1-2-2-2211-1-1-1-1-1-11100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-20200000110000-1-1−i3−i3i3i300000000
χ3122-22-2222-22-2-2-2222222-2-2-2-2-2222-2-22-2-2-2-22222-22-22-22-22-22-22-22-22-22-22-20000000000000000000000000000
χ3222-22-2222-22-2-2-2222222-2-2-2-2-2222-2-22-2-2-2-22222-2-222-2-22-22-22-22-22-22-22-220000000000000000000000000000
χ3322-22-222-22-22-2-222-2-222-2-2-2-2-222-222-22222-2-2-22-200-220000000000000000000000000000000000000000002-2
χ3422-22-222-22-22-2-222-2-222-2-2-2-2-222-222-22222-2-2-22-200-22000000000000000000000000000000000000000000-22
χ3522-22-22-12-22-2-2-2-12-1-1-12-21111-1-1-1112-2-2112-1-1-112-2-11-11-112-22-2-11-11-11-110000000000−i3i3i3−i3000000−i3i3−i3i30000
χ3622-22-22-12-22-2-2-2-12-1-1-12-21111-1-1-1112-2-2112-1-1-112-2-11-11-112-22-2-11-11-11-110000000000i3−i3−i3i3000000i3−i3i3−i30000
χ3722-22-22-12-22-2-2-2-12-1-1-12-21111-1-1-1112-2-2112-1-1-11-22-111-11-1-22-221-11-11-11-10000000000−i3i3i3−i3000000i3−i3i3−i30000
χ3822-22-22-12-22-2-2-2-12-1-1-12-21111-1-1-1112-2-2112-1-1-11-22-111-11-1-22-221-11-11-11-10000000000i3−i3−i3i3000000−i3i3−i3i30000
χ3922-22-2-122-22-2112-122-1-11-2-211-122-2-2-11111-1-1-1-112-2-112-22-2-11-11-11-11-11-1100000000−i3i30000−i3i3−i3i3−i3i300000000
χ4022-22-2-122-22-2112-122-1-11-2-211-122-2-2-11111-1-1-1-112-2-112-22-2-11-11-11-11-11-1100000000i3−i30000i3−i3i3−i3i3−i300000000
χ4122-22-2-122-22-2112-122-1-11-2-211-122-2-2-11111-1-1-1-11-22-11-22-221-11-11-11-11-11-100000000−i3i30000−i3i3i3−i3i3−i300000000
χ4222-22-2-122-22-2112-122-1-11-2-211-122-2-2-11111-1-1-1-11-22-11-22-221-11-11-11-11-11-100000000i3−i30000i3−i3−i3i3−i3i300000000
χ4322-2-22222-2-22-2-222-2-22-22-22-2-22-22-222-2222-2-2-2-22002-2000000000000000002000-2000022-2-200000000000000
χ4422-2-22222-2-22-2-222-2-22-22-22-2-22-22-222-2222-2-2-2-22002-200000000000000000-200020000-2-22200000000000000
χ4522-2-2222-222-2-2-222222-22-22-2-22-2-22-2-22-2-2-2222-2200-2200000000000000000002-2000000000002-2-2200000000
χ4622-2-2222-222-2-2-222222-22-22-2-22-2-22-2-22-2-2-2222-2200-220000000000000000000-2200000000000-222-200000000
χ4722-2-222-12-2-22-2-2-1211-1-221-111-11-11-12-22-1-1-2111-100-113−3−3300003−33−3−33−3302000-20000-1-1110000003−3−330000
χ4822-2-222-12-2-22-2-2-1211-1-221-111-11-11-12-22-1-1-2111-100-113−3−3300003−33−3−33−330-20002000011-1-1000000−333−30000
χ4922-2-222-12-2-22-2-2-1211-1-221-111-11-11-12-22-1-1-2111-100-11−333−30000−33−333−33−302000-20000-1-111000000−333−30000
χ5022-2-222-12-2-22-2-2-1211-1-221-111-11-11-12-22-1-1-2111-100-11−333−30000−33−333−33−30-20002000011-1-10000003−3−330000
χ5122-2-22-12-222-2112-122-11-1-2211-1-2-22-21-1111-1-1-11-1001-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30002-2000−i3i30000i3−i3-111-100000000
χ5222-2-22-12-222-2112-122-11-1-2211-1-2-22-21-1111-1-1-11-1001-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000-22000i3−i30000−i3i31-1-1100000000
χ5322-2-22-12-222-2112-122-11-1-2211-1-2-22-21-1111-1-1-11-1001-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30002-2000i3−i30000−i3i3-111-100000000
χ5422-2-22-12-222-2112-122-11-1-2211-1-2-22-21-1111-1-1-11-1001-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3000-22000−i3i30000i3−i31-1-1100000000
χ55444444-2-4-4-4-444-2422-244-2-2-2-2-2-2222-4-4-422-422-2-2002200000000000000000000000000000000000000000000
χ5644444-24-4-4-4-4-2-24-2-4-4-2-2-244-2-2-24-4-4-422222222-2-2002200000000000000000000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-211-211114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ5844444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-211-21111-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-2222222-1-12-1-11100-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000
χ6044444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-2222222-1-12-1-11100-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000
χ61444-4-44-2-4-44444-24-2-2-2-4-4-22-2-2-2222-2-4-44-2-24-2-222002200000000000000000000000000000000000000000000
χ62444-4-4-2444-4-4-2-24-2-4-4-2224-4-2-2-2-444-4-2-22222222200-2-200000000000000000000000000000000000000000000
χ63444-4-4-2-244-4-4-2-2-2-222122-221112-2-22-2-22-1-12-1-1-1-100112323−23−230000−3−3−3−333330000000000000000000000000000
χ64444-4-4-2-244-4-4-2-2-2-222122-221112-2-22-2-22-1-12-1-1-1-10011−23−23232300003333−3−3−3−30000000000000000000000000000
χ65444-4-4-2-2-4-444-2-2-2-2-2-2122-22111222-222-211-211-1-100-1-10000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000
χ66444-4-4-2-2-4-444-2-2-2-2-2-2122-22111222-222-211-211-1-100-1-100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000
χ6744-44-44-2-44-44-4-4-2422-24-42222-2-22-2-2-444-2-2-422-22002-200000000000000000000000000000000000000000000
χ6844-44-4-24-44-44224-2-4-4-2-22-4-422-24-4442-2-2-2-2222-22002-200000000000000000000000000000000000000000000
χ6944-44-4-2-24-44-422-2-2-2-21-2222-1-11-2-222-222-1-1-2111-14-41-1-22-22-22-221-11-11-11-10000000000000000000000000000
χ7044-44-4-2-24-44-422-2-2-2-21-2222-1-11-2-222-222-1-1-2111-1-441-12-22-22-22-2-11-11-11-110000000000000000000000000000
χ7144-44-4-2-2-44-4422-2-2221-2222-1-11-22-2-22-2-2112-1-11-100-11000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000
χ7244-44-4-2-2-44-4422-2-2221-2222-1-11-22-2-22-2-2112-1-11-100-1100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000
χ7344-4-444-2-444-4-4-4-24-2-2-2-442-222-222-22-44-4224-2-22-2002-200000000000000000000000000000000000000000000
χ7444-4-44-244-4-44224-2-4-4-22-2-4422-2-44-44-22-2-2-22222-200-2200000000000000000000000000000000000000000000
χ7544-4-44-2-24-4-4422-2-22212-22-2-1-112-22-2-22-2112-1-1-11001-123−23−23230000−33−333−33−30000000000000000000000000000
χ7644-4-44-2-24-4-4422-2-22212-22-2-1-112-22-2-22-2112-1-1-11001-1−232323−2300003−33−3−33−330000000000000000000000000000
χ7744-4-44-2-2-444-422-2-2-2-212-22-2-1-1122-222-22-1-1-211-1100-110000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i30000000000000000000000000000
χ7844-4-44-2-2-444-422-2-2-2-212-22-2-1-1122-222-22-1-1-211-1100-1100002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i30000000000000000000000000000
χ798-800088000000-8-8008000000-800000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000004-843−43-40000004000000000043−4300000000000000000000000000000000000000000000000000
χ818-80008-40000004-8−4343-400000040000000000−434300000000000000000000000000000000000000000000000000
χ828-8000-480000−4i34i3-8400-40000−4i34i3400000000000000000000000000000000000000000000000000000000000000
χ838-8000-4800004i3−4i3-8400-400004i3−4i3400000000000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i34443−43200002i3−2i3-200000006i−6i0−232300000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i344−4343200002i3−2i3-20000000−6i6i023−2300000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i34443−4320000−2i32i3-20000000−6i6i0−232300000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i344−434320000−2i32i3-200000006i−6i023−2300000000000000000000000000000000000000000000000000

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