Finite Group Databasebeta

← Group #11794612

Character table — Group #11794612

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122223344446612121212366666666612121212121212121212668812122424242424242424242424242424242488888888242424242424242424242424242424242288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ92222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000002-200
χ102222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000000000000000-2200
χ11222222-122222-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002222000000-1-1-1-1-1-1-1-100000000
χ12222222-122222-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000001111111100000000
χ13222222-122222-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-21111111111110022-2-2000000-1-1-1-1111100000000
χ14222222-122222-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-211111111111100-2-2220000001111-1-1-1-100000000
χ1522222-122222-12-1-122-1-1-1-1222-1-1-1-1-122-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-122000022-1-1-1-100000000-1-1-1-10000
χ1622222-122222-12-1-122-1-1-1-1222-1-1-1-1-122-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-2-211110000000011110000
χ1722222-122222-12-1-122-1-1-1-1222-1-1-1-1-122-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-211111111220000-2-2-1-1-1-10000000011110000
χ1822222-122222-12-1-122-1-1-1-1222-1-1-1-1-122-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-211111111-2-2000022111100000000-1-1-1-10000
χ19222-2-22222-2-22222-2-222-2-22-2-2-2-222-22-2-2-2222-22-2002-2000000000000000000002i−2i00000000002i2i−2i−2i00000000
χ20222-2-22222-2-22222-2-222-2-22-2-2-2-222-22-2-2-2222-22-2002-200000000000000000000−2i2i0000000000−2i−2i2i2i00000000
χ21222-2-222-2-22222-2-22222-2-22-2-2-2-22-22-2222-2-2-222-200-2200000000000000000000002-200000000000022-2-20000
χ22222-2-222-2-22222-2-22222-2-22-2-2-2-22-22-2222-2-2-222-200-220000000000000000000000-22000000000000-2-2220000
χ23222-2-22-122-2-22-12211-12-2-2-11111-12-2-1111-1-1-1-2-1100-110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300002i−2i00000033−3−3−i−iii00000000
χ24222-2-22-122-2-22-12211-12-2-2-11111-12-2-1111-1-1-1-2-1100-110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−2i2i000000−3−333ii−i−i00000000
χ25222-2-22-122-2-22-12211-12-2-2-11111-12-2-1111-1-1-1-2-1100-110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300002i−2i000000−3−333−i−iii00000000
χ26222-2-22-122-2-22-12211-12-2-2-11111-12-2-1111-1-1-1-2-1100-110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−2i2i00000033−3−3ii−i−i00000000
χ27222-2-2-12-2-222-121122-1-1112-2-211-11-1-22-1-1-211-1-11001-133−3−3000033−3−333−3−30000002-233−3−300000000-1-1110000
χ28222-2-2-12-2-222-121122-1-1112-2-211-11-1-22-1-1-211-1-11001-133−3−3000033−3−333−3−3000000-22−3−3330000000011-1-10000
χ29222-2-2-12-2-222-121122-1-1112-2-211-11-1-22-1-1-211-1-11001-1−3−3330000−3−333−3−3330000002-2−3−33300000000-1-1110000
χ30222-2-2-12-2-222-121122-1-1112-2-211-11-1-22-1-1-211-1-11001-1−3−3330000−3−333−3−333000000-2233−3−30000000011-1-10000
χ3122-22-2222-22-222-2-2222-22-2-22-2-2-22222-222-2-2-2-2-22002-20000000000000000000000000000000000000000002i−2i
χ3222-22-2222-22-222-2-2222-22-2-22-2-2-22222-222-2-2-2-2-22002-2000000000000000000000000000000000000000000−2i2i
χ3322-22-222-22-222222-2-22-22-2-22-2-2-22-2-2-22-2-22222-222-2-222-22-22-22-22-22-22-22-20000000000000000000000000000
χ3422-22-222-22-222222-2-22-22-2-22-2-2-22-2-2-22-2-22222-22-22-22-22-22-22-22-22-22-22-220000000000000000000000000000
χ3522-22-22-1-22-222-12211-1-22-21-1111-1-2-21-111-1-1-121-12-21-12-22-2-11-11-11-11-11-110000000000003−33−33−33−300000000
χ3622-22-22-1-22-222-12211-1-22-21-1111-1-2-21-111-1-1-121-12-21-12-22-2-11-11-11-11-11-11000000000000−33−33−33−3300000000
χ3722-22-22-1-22-222-12211-1-22-21-1111-1-2-21-111-1-1-121-1-221-1-22-221-11-11-11-11-11-10000000000003−33−3−33−3300000000
χ3822-22-22-1-22-222-12211-1-22-21-1111-1-2-21-111-1-1-121-1-221-1-22-221-11-11-11-11-11-1000000000000−33−333−33−300000000
χ3922-22-2-12-22-22-12-1-1-2-2-11-11-22-211-111-22112-1-1-11-12-21-1-11-112-22-2-11-11-11-1100000000−i3i3−i3i300000000−i3i3−i3i30000
χ4022-22-2-12-22-22-12-1-1-2-2-11-11-22-211-111-22112-1-1-11-12-21-1-11-112-22-2-11-11-11-1100000000i3−i3i3−i300000000i3−i3i3−i30000
χ4122-22-2-12-22-22-12-1-1-2-2-11-11-22-211-111-22112-1-1-11-1-221-11-11-1-22-221-11-11-11-100000000−i3i3−i3i300000000i3−i3i3−i30000
χ4222-22-2-12-22-22-12-1-1-2-2-11-11-22-211-111-22112-1-1-11-1-221-11-11-1-22-221-11-11-11-100000000i3−i3i3−i300000000−i3i3−i3i30000
χ4322-2-22222-2-2222-2-2-2-22-2-22-2-222222-222-2-2-2-2-22-2-2002200000000000000002i−2i0000002i−2i−2i2i0000000000000000
χ4422-2-22222-2-2222-2-2-2-22-2-22-2-222222-222-2-2-2-2-22-2-200220000000000000000−2i2i000000−2i2i2i−2i0000000000000000
χ4522-2-2222-222-22222222-2-22-2-22222-22-2-222222-2-2-200-2-20000000000000000002-2000000002-2-22000000000000
χ4622-2-2222-222-22222222-2-22-2-22222-22-2-222222-2-2-200-2-2000000000000000000-2200000000-222-2000000000000
χ4722-2-222-1-222-22-122-1-1-1-2-2211-1-1-1-1-2211-1-1-1-1-1-21100110000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3002-200000000-111-1−i3i3i3−i300000000
χ4822-2-222-1-222-22-122-1-1-1-2-2211-1-1-1-1-2211-1-1-1-1-1-21100110000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i300-22000000001-1-11i3−i3−i3i300000000
χ4922-2-222-1-222-22-122-1-1-1-2-2211-1-1-1-1-2211-1-1-1-1-1-21100110000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3002-200000000-111-1i3−i3−i3i300000000
χ5022-2-222-1-222-22-122-1-1-1-2-2211-1-1-1-1-2211-1-1-1-1-1-21100110000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i300-22000000001-1-11−i3i3i3−i300000000
χ5122-2-22-122-2-22-1211-2-2-111-1-2-22-1-1-1-112211-211-11100-1-13−3−3300003−3−333−3−332i−2i000000−iii−i00000000−i3i3i3−i30000
χ5222-2-22-122-2-22-1211-2-2-111-1-2-22-1-1-1-112211-211-11100-1-13−3−3300003−3−333−3−33−2i2i000000i−i−ii00000000i3−i3−i3i30000
χ5322-2-22-122-2-22-1211-2-2-111-1-2-22-1-1-1-112211-211-11100-1-1−333−30000−333−3−333−32i−2i000000−iii−i00000000i3−i3−i3i30000
χ5422-2-22-122-2-22-1211-2-2-111-1-2-22-1-1-1-112211-211-11100-1-1−333−30000−333−3−333−3−2i2i000000i−i−ii00000000−i3i3i3−i30000
χ55444444-2-4-4-4-44-2-4-422-2444-2-2-2-2-2-2-4-42222222-4-2-2002200000000000000000000000000000000000000000000
χ5644444-24-4-4-4-4-2422-4-4-2-2-2-2444-2-2-222-4-422-4222-2-2002200000000000000000000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2-2-2111-2-2-2-211-211-2114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ5844444-2-24444-2-2-2-2-2-21-2-2-2-2-2-2111-2-2-2-211-211-211-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-222221-2-2-2-2-2-21112222-1-12-1-121100-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000
χ6044444-2-2-4-4-4-4-2-222221-2-2-2-2-2-21112222-1-12-1-121100-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000
χ61444-4-44-2-4-4444-2-4-4-2-2-24-4-4-22222-2-442-2-2-22224-22002-200000000000000000000000000000000000000000000
χ62444-4-4-2444-4-4-24-2-2-4-4-2-2224-4-422-2-224-4224-2-22-2200-2200000000000000000000000000000000000000000000
χ63444-4-4-2-244-4-4-2-2-2-2221-222-222-1-11-22-22-1-1-21121-1001-10000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i30000000000000000000000000000
χ64444-4-4-2-244-4-4-2-2-2-2221-222-222-1-11-22-22-1-1-21121-1001-100002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i30000000000000000000000000000
χ65444-4-4-2-2-4-444-2-222-2-21-222-222-1-112-22-2112-1-1-21-100-112323−23−230000−3−333−3−3330000000000000000000000000000
χ66444-4-4-2-2-4-444-2-222-2-21-222-222-1-112-22-2112-1-1-21-100-11−23−232323000033−3−333−3−30000000000000000000000000000
χ6744-44-44-24-44-44-2-4-4-2-2-2-44-42-2222-244-22-2-2222-42-200-2200000000000000000000000000000000000000000000
χ6844-44-4-244-44-4-242244-22-22-44-422-2-2-24-4-2-2-42222-200-2200000000000000000000000000000000000000000000
χ6944-44-4-2-24-44-4-2-222-2-212-222-22-1-11-2-2-22112-1-12-11001-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000
χ7044-44-4-2-24-44-4-2-222-2-212-222-22-1-11-2-2-22112-1-12-11001-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000
χ7144-44-4-2-2-44-44-2-2-2-22212-222-22-1-11222-2-1-1-211-2-114-4-11-22-22-22-221-11-11-11-10000000000000000000000000000
χ7244-44-4-2-2-44-44-2-2-2-22212-222-22-1-11222-2-1-1-211-2-11-44-112-22-22-22-2-11-11-11-110000000000000000000000000000
χ7344-4-444-24-4-444-2-4-422-2-4-4422-2-2-2-24-4-2-22222242200-2-200000000000000000000000000000000000000000000
χ7444-4-44-24-444-4-24-2-244-222-2-4-44-2-2-22-2-4-4-2-24-2-2222002200000000000000000000000000000000000000000000
χ7544-4-44-2-24-4-44-2-22222122-222-2111-22-2-2-1-12-1-1-2-1-1001123−23−23230000−333−3−333−30000000000000000000000000000
χ7644-4-44-2-24-4-44-2-22222122-222-2111-22-2-2-1-12-1-1-2-1-10011−232323−2300003−3−333−3−330000000000000000000000000000
χ7744-4-44-2-2-444-4-2-2-2-2-2-2122-222-21112-22211-2112-1-100-1-10000−2i32i32i3−2i3i3−i3i3−i3−i3i3−i3i30000000000000000000000000000
χ7844-4-44-2-2-444-4-2-2-2-2-2-2122-222-21112-22211-2112-1-100-1-100002i3−2i3−2i32i3−i3i3−i3i3i3−i3i3−i30000000000000000000000000000
χ798-8000880000-8-80000800000000-8000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-840043−43-4000000004000043−43000000000000000000000000000000000000000000000000000000
χ818-80008-40000-8400−4343-40000000040000−4343000000000000000000000000000000000000000000000000000000
χ828-8000-4800004-843−4300-4000000004000000043−43000000000000000000000000000000000000000000000000000
χ838-8000-4800004-8−434300-40000000040000000−4343000000000000000000000000000000000000000000000000000
χ848-8000-4-400004443−4343−4320000006-6-20000−23230−2323000000000000000000000000000000000000000000000000000
χ858-8000-4-400004443−43−43432000000-66-2000023−230−2323000000000000000000000000000000000000000000000000000
χ868-8000-4-4000044−434343−432000000-66-20000−2323023−23000000000000000000000000000000000000000000000000000
χ878-8000-4-4000044−4343−434320000006-6-2000023−23023−23000000000000000000000000000000000000000000000000000

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