Finite Group Databasebeta

← Group #11795043

Character table — Group #11795043

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122223344446612121212366666666612121212121212121212668812122424242424242424242424242424242444888888121212122424242424242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1
χ92222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000002i−2i00000000000000002i2i−2i−2i0000
χ102222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000−2i2i0000000000000000−2i−2i2i2i0000
χ11222222-122222-122-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-100000000
χ12222222-122222-122-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200001111111100000000
χ13222222-122222-122-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-2111111111111000022-2-20000-1-1-1-1111100000000
χ14222222-122222-122-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-21111111111110000-2-22200001111-1-1-1-100000000
χ1522222-122222-12-1-122-1-1-1222-1-1-1-1-1-122-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-100000000-1-1-1-10000
χ1622222-122222-12-1-122-1-1-1222-1-1-1-1-1-122-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000011110000000011110000
χ1722222-122222-12-1-122-1-1-1222-1-1-1-1-1-122-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-21111111122-2-20000-1-1-1-10000000011110000
χ1822222-122222-12-1-122-1-1-1222-1-1-1-1-1-122-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-211111111-2-2220000111100000000-1-1-1-10000
χ1922222-12-2-2-2-2-1211-2-2-1-1-1222-1-1-1-111-2-211-2111-1-1001133−3−300003333−3−3−3−3002i−2i0000−i3−i3i3i300000000−i−iii0000
χ2022222-12-2-2-2-2-1211-2-2-1-1-1222-1-1-1-111-2-211-2111-1-1001133−3−300003333−3−3−3−300−2i2i0000i3i3−i3−i300000000ii−i−i0000
χ2122222-12-2-2-2-2-1211-2-2-1-1-1222-1-1-1-111-2-211-2111-1-10011−3−3330000−3−3−3−33333002i−2i0000i3i3−i3−i300000000−i−iii0000
χ2222222-12-2-2-2-2-1211-2-2-1-1-1222-1-1-1-111-2-211-2111-1-10011−3−3330000−3−3−3−3333300−2i2i0000−i3−i3i3i300000000ii−i−i0000
χ23222-2-2222-2-2222-2-22222-22-2-2-2-22-2222-222-2-2-2-22-2002-20000000000000000000000000000000000000000002i−2i
χ24222-2-2222-2-2222-2-22222-22-2-2-2-22-2222-222-2-2-2-22-2002-2000000000000000000000000000000000000000000−2i2i
χ25222-2-222-222-22222-2-222-22-2-2-2-22-2-2-2-22-2-222222-200-22000000000000000000002i−2i0000002i2i−2i−2i000000000000
χ26222-2-222-222-22222-2-222-22-2-2-2-22-2-2-2-22-2-222222-200-2200000000000000000000−2i2i000000−2i−2i2i2i000000000000
χ27222-2-22-1-222-22-12211-12-2-11111-1-2-2-21-111-1-1-12-11001-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300002i−2i000000−i−iii33−3−300000000
χ28222-2-22-1-222-22-12211-12-2-11111-1-2-2-21-111-1-1-12-11001-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−2i2i000000ii−i−i−3−33300000000
χ29222-2-22-1-222-22-12211-12-2-11111-1-2-2-21-111-1-1-12-11001-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300002i−2i000000−i−iii−3−33300000000
χ30222-2-22-1-222-22-12211-12-2-11111-1-2-2-21-111-1-1-12-11001-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000−2i2i000000ii−i−i33−3−300000000
χ3122-22-22222-2-22222-2-22-2-2-22-2-2-2222-22-2-2-2222-2-22002-200000000000000000000002i−2i000000002i−2i2i−2i00000000
χ3222-22-22222-2-22222-2-22-2-2-22-2-2-2222-22-2-2-2222-2-22002-20000000000000000000000−2i2i00000000−2i2i−2i2i00000000
χ3322-22-222-2-22222-2-2222-2-2-22-2-2-222-22-2222-2-2-22-2200-2200000000000000000000000000000000000000002-200
χ3422-22-222-2-22222-2-2222-2-2-22-2-2-222-22-2222-2-2-22-2200-220000000000000000000000000000000000000000-2200
χ3522-22-22-122-2-22-12211-1-2-21-1111-122-2-1111-1-1-1-21-100-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000002i−2i00003−33−3−ii−ii00000000
χ3622-22-22-122-2-22-12211-1-2-21-1111-122-2-1111-1-1-1-21-100-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000−2i2i0000−33−33i−ii−i00000000
χ3722-22-22-122-2-22-12211-1-2-21-1111-122-2-1111-1-1-1-21-100-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000002i−2i0000−33−33−ii−ii00000000
χ3822-22-22-122-2-22-12211-1-2-21-1111-122-2-1111-1-1-1-21-100-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000−2i2i00003−33−3i−ii−i00000000
χ3922-2-22222-22-222-2-2-2-22-22-2-22222-22-222-2-2-2-2-22-2-2002200000000000000002i−2i0000002i−2i2i−2i0000000000000000
χ4022-2-22222-22-222-2-2-2-22-22-2-22222-22-222-2-2-2-2-22-2-200220000000000000000−2i2i000000−2i2i−2i2i0000000000000000
χ4122-2-2222-22-222222222-22-2-22222-2-22-2-222222-2-2-22-2-2-22-22-22-2-222-2-222-2-220000000000000000000000000000
χ4222-2-2222-22-222222222-22-2-22222-2-22-2-222222-2-2-2-22-2-2-22-22-222-2-222-2-222-20000000000000000000000000000
χ4322-2-222-1-22-222-122-1-1-1-2211-1-1-1-1-2-2211-1-1-1-1-1-2112-2112-22-2-111-1-111-1-111-1000000000000−i3i3i3−i3−i3i3i3−i300000000
χ4422-2-222-1-22-222-122-1-1-1-2211-1-1-1-1-2-2211-1-1-1-1-1-2112-2112-22-2-111-1-111-1-111-1000000000000i3−i3−i3i3i3−i3−i3i300000000
χ4522-2-222-1-22-222-122-1-1-1-2211-1-1-1-1-2-2211-1-1-1-1-1-211-2211-22-221-1-111-1-111-1-11000000000000−i3i3i3−i3i3−i3−i3i300000000
χ4622-2-222-1-22-222-122-1-1-1-2211-1-1-1-1-2-2211-1-1-1-1-1-211-2211-22-221-1-111-1-111-1-11000000000000i3−i3−i3i3−i3i3i3−i300000000
χ4722-2-22-122-22-2-1211-2-2-11-1-2-22-1-1-11-112211-211-11100-1-13−3−3300003−3−33−333−32i−2i000000−ii−ii00000000−i3i3−i3i30000
χ4822-2-22-122-22-2-1211-2-2-11-1-2-22-1-1-11-112211-211-11100-1-13−3−3300003−3−33−333−3−2i2i000000i−ii−i00000000i3−i3i3−i30000
χ4922-2-22-122-22-2-1211-2-2-11-1-2-22-1-1-11-112211-211-11100-1-1−333−30000−333−33−3−332i−2i000000−ii−ii00000000i3−i3i3−i30000
χ5022-2-22-122-22-2-1211-2-2-11-1-2-22-1-1-11-112211-211-11100-1-1−333−30000−333−33−3−33−2i2i000000i−ii−i00000000−i3i3−i3i30000
χ5122-2-22-12-22-22-12-1-122-11-1-2-22-1-1-111-1-2-2-1-12-1-11112-211-11-112-2-22-111-1-111-1000000003−3−3300000000−333−30000
χ5222-2-22-12-22-22-12-1-122-11-1-2-22-1-1-111-1-2-2-1-12-1-11112-211-11-112-2-22-111-1-111-100000000−333−3000000003−3−330000
χ5322-2-22-12-22-22-12-1-122-11-1-2-22-1-1-111-1-2-2-1-12-1-1111-22111-11-1-222-21-1-111-1-11000000003−3−33000000003−3−330000
χ5422-2-22-12-22-22-12-1-122-11-1-2-22-1-1-111-1-2-2-1-12-1-1111-22111-11-1-222-21-1-111-1-1100000000−333−300000000−333−30000
χ55444444-2-4-4-4-44-2-4-422-244-2-2-2-2-2-24-4-42222222-4-2-2002200000000000000000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-211-211-2114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-211-211-211-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-22222-1-12-1-121100-1-12323−23−230000−3−3−3−333330000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-22222-1-12-1-121100-1-1−23−23232300003333−3−3−3−30000000000000000000000000000
χ60444-4-44-24-4-444-2-4-4-2-2-24-4-22222-2-444-22-2-2222-4-2200-2200000000000000000000000000000000000000000000
χ61444-4-4-244-4-44-242244-2-224-4-422-22-2-24-4-2-2-4222-2200-2200000000000000000000000000000000000000000000
χ62444-4-4-24-444-4-24-2-2-4-4-2-224-4-422-2222-44224-2-2-2-22002-200000000000000000000000000000000000000000000
χ63444-4-4-2-24-4-44-2-222-2-21-22-222-1-112-2-2-22112-1-121-1001-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000
χ64444-4-4-2-24-4-44-2-222-2-21-22-222-1-112-2-2-22112-1-121-1001-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000
χ65444-4-4-2-2-444-4-2-2-2-2221-22-222-1-112222-2-1-1-211-21-100-110000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000
χ66444-4-4-2-2-444-4-2-2-2-2221-22-222-1-112222-2-1-1-211-21-100-1100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000
χ6744-44-44-2-4-4444-2-4-4-2-2-2-4-42-2222-24-442-2-2-222242-2002-200000000000000000000000000000000000000000000
χ6844-44-4-2444-4-4-24-2-2-4-4-222-44-422-2-2-224-4224-2-222-200-2200000000000000000000000000000000000000000000
χ6944-44-4-24-4-444-242244-222-44-422-2-22-2-44-2-2-422-22-2002-200000000000000000000000000000000000000000000
χ7044-44-4-2-244-4-4-2-2-2-2221222-22-1-11-2-22-22-1-1-2112-11001-10000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000
χ7144-44-4-2-244-4-4-2-2-2-2221222-22-1-11-2-22-22-1-1-2112-11001-100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000
χ7244-44-4-2-2-4-444-2-222-2-21222-22-1-11-22-22-2112-1-1-2-1100-11000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000
χ7344-44-4-2-2-4-444-2-222-2-21222-22-1-11-22-22-2112-1-1-2-1100-1100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000
χ7444-4-444-24-44-44-2-4-422-2-4422-2-2-2-2-44-4-2-22222242200-2-200000000000000000000000000000000000000000000
χ7544-4-44-2-24-44-4-2-2222212-222-21112-22-2-2-1-12-1-1-2-1-1001123−23−23230000−333−33−3−330000000000000000000000000000
χ7644-4-44-2-24-44-4-2-2222212-222-21112-22-2-2-1-12-1-1-2-1-10011−232323−2300003−3−33−333−30000000000000000000000000000
χ7744-4-44-2-2-44-44-2-2-2-2-2-212-222-211122-22211-2112-1-14-4-1-1-22-22-222-21-1-111-1-110000000000000000000000000000
χ7844-4-44-2-2-44-44-2-2-2-2-2-212-222-211122-22211-2112-1-1-44-1-12-22-22-2-22-111-1-111-10000000000000000000000000000
χ798-8000880000-8-8000080000000-80000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-840043−43-4000000040000043−43000000000000000000000000000000000000000000000000000000
χ818-80008-40000-8400−4343-40000000400000−4343000000000000000000000000000000000000000000000000000000
χ828-8000-4800004-843−4300-4000000040000000043−43000000000000000000000000000000000000000000000000000
χ838-8000-4800004-8−434300-40000000400000000−4343000000000000000000000000000000000000000000000000000
χ848-8000-4-400004443−4343−432000006-6-200000−23230−2323000000000000000000000000000000000000000000000000000
χ858-8000-4-400004443−43−4343200000-66-20000023−230−2323000000000000000000000000000000000000000000000000000
χ868-8000-4-4000044−434343−43200000-66-200000−2323023−23000000000000000000000000000000000000000000000000000
χ878-8000-4-4000044−4343−43432000006-6-20000023−23023−23000000000000000000000000000000000000000000000000000

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