Finite Group Databasebeta

← Group #11795055

Character table — Group #11795055

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122223344446612121212366666666612121212121212121212668812122424242424242424242424242424242444888888121212122424242424242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1
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
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1
χ92222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000002i−2i000000002i2i−2i−2i000000000000
χ102222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000−2i2i00000000−2i−2i2i2i000000000000
χ11222222-122222-122-1-1-122-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000
χ12222222-122222-122-1-1-122-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000
χ13222222-122222-122-1-1-122-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-211111111000022-2-2000000001111-1-1-1-10000
χ14222222-122222-122-1-1-122-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-2111111110000-2-22200000000-1-1-1-111110000
χ1522222-122222-12-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000
χ1622222-122222-12-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000
χ1722222-122222-12-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-12-1-1-2-2-1-1-2-2-2-211111111111122-2-20000-1-1-1-11111000000000000
χ1822222-122222-12-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-12-1-1-2-2-1-1-2-2-2-2111111111111-2-22200001111-1-1-1-1000000000000
χ1922222-12-2-2-2-2-1211-2-2-1-1-1222-1-1-1-111-2-211111-2-1-10011000033−3−33333−3−3−3−3002i−2i0000−i3−i3i3i3−i−iii000000000000
χ2022222-12-2-2-2-2-1211-2-2-1-1-1222-1-1-1-111-2-211111-2-1-10011000033−3−33333−3−3−3−300−2i2i0000i3i3−i3−i3ii−i−i000000000000
χ2122222-12-2-2-2-2-1211-2-2-1-1-1222-1-1-1-111-2-211111-2-1-100110000−3−333−3−3−3−33333002i−2i0000i3i3−i3−i3−i−iii000000000000
χ2222222-12-2-2-2-2-1211-2-2-1-1-1222-1-1-1-111-2-211111-2-1-100110000−3−333−3−3−3−3333300−2i2i0000−i3−i3i3i3ii−i−i000000000000
χ23222-2-2222-2-2222-2-22222-22-2-2-2-22-22-22-2-2-2222-22-2002-200000000000000002i−2i0000002i−2i2i−2i0000000000000000
χ24222-2-2222-2-2222-2-22222-22-2-2-2-22-22-22-2-2-2222-22-2002-20000000000000000−2i2i000000−2i2i−2i2i0000000000000000
χ25222-2-222-222-22222-2-222-22-2-2-2-22-2-22-2222-2-2-222-22i−2i-222i2i−2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ26222-2-222-222-22222-2-222-22-2-2-2-22-2-22-2222-2-2-222-2−2i2i-22−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ27222-2-22-1-222-22-12211-12-2-11111-1-2-221-1-1-1-211-1-112i−2i1-1−i−iii2i−2i2i−2i−i−iii−i−iii000000000000000033−3−3−i3−i3i3i30000
χ28222-2-22-1-222-22-12211-12-2-11111-1-2-221-1-1-1-211-1-112i−2i1-1−i−iii2i−2i2i−2i−i−iii−i−iii0000000000000000−3−333i3i3−i3−i30000
χ29222-2-22-1-222-22-12211-12-2-11111-1-2-221-1-1-1-211-1-11−2i2i1-1ii−i−i−2i2i−2i2iii−i−iii−i−i000000000000000033−3−3i3i3−i3−i30000
χ30222-2-22-1-222-22-12211-12-2-11111-1-2-221-1-1-1-211-1-11−2i2i1-1ii−i−i−2i2i−2i2iii−i−iii−i−i0000000000000000−3−333−i3−i3i3i30000
χ31222-2-2-122-2-22-121122-1-112-2-211-11-112-211-1-1-1-2-1100-110000−i3i3i3−i3−i3−i3i3i3i3i3−i3−i32i−2i000000−ii−ii3−33−3000000000000
χ32222-2-2-122-2-22-121122-1-112-2-211-11-112-211-1-1-1-2-1100-110000−i3i3i3−i3−i3−i3i3i3i3i3−i3−i3−2i2i000000i−ii−i−33−33000000000000
χ33222-2-2-122-2-22-121122-1-112-2-211-11-112-211-1-1-1-2-1100-110000i3−i3−i3i3i3i3−i3−i3−i3−i3i3i32i−2i000000−ii−ii−33−33000000000000
χ34222-2-2-122-2-22-121122-1-112-2-211-11-112-211-1-1-1-2-1100-110000i3−i3−i3i3i3i3−i3−i3−i3−i3i3i3−2i2i000000i−ii−i3−33−3000000000000
χ35222-2-2-12-222-2-12-1-1-2-2-1-112-2-211-111-1-22-1-11112-112i−2i1-12i2i−2i−2i−ii−ii−i−iii−i−iii000000003−3−33i3−i3−i3i3000000000000
χ36222-2-2-12-222-2-12-1-1-2-2-1-112-2-211-111-1-22-1-11112-112i−2i1-12i2i−2i−2i−ii−ii−i−iii−i−iii00000000−333−3−i3i3i3−i3000000000000
χ37222-2-2-12-222-2-12-1-1-2-2-1-112-2-211-111-1-22-1-11112-11−2i2i1-1−2i−2i2i2ii−ii−iii−i−iii−i−i000000003−3−33−i3i3i3−i3000000000000
χ38222-2-2-12-222-2-12-1-1-2-2-1-112-2-211-111-1-22-1-11112-11−2i2i1-1−2i−2i2i2ii−ii−iii−i−iii−i−i00000000−333−3i3−i3−i3i3000000000000
χ3922-22-22222-2-22222-2-22-2-2-22-2-2-2222-22222-2-2-2-2-22002-20000000000000000000000000000000000000000002i−2i
χ4022-22-22222-2-22222-2-22-2-2-22-2-2-2222-22222-2-2-2-2-22002-2000000000000000000000000000000000000000000−2i2i
χ4122-22-222-2-22222-2-2222-2-2-22-2-2-222-22-2-2-2-22222-2200-22000000000000000000002-2000000000000002-22-20000
χ4222-22-222-2-22222-2-2222-2-2-22-2-2-222-22-2-2-2-22222-2200-2200000000000000000000-2200000000000000-22-220000
χ4322-22-22-1-2-2222-1-2-2-1-1-1-2-21-1111-12-2211112-1-1-11-1001-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i300002-20000000000−i3i3−i3i3-11-110000
χ4422-22-22-1-2-2222-1-2-2-1-1-1-2-21-1111-12-2211112-1-1-11-1001-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i30000-220000000000i3−i3i3−i31-11-10000
χ4522-22-22-1-2-2222-1-2-2-1-1-1-2-21-1111-12-2211112-1-1-11-1001-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i300002-20000000000i3−i3i3−i3-11-110000
χ4622-22-22-1-2-2222-1-2-2-1-1-1-2-21-1111-12-2211112-1-1-11-1001-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i30000-220000000000−i3i3−i3i31-11-10000
χ4722-2-22222-22-222-2-2-2-22-22-2-22222-2222-2-2-2-2-2-22-2-2002200000000000000000000002i−2i000000002i−2i−2i2i00000000
χ4822-2-22222-22-222-2-2-2-22-22-2-22222-2222-2-2-2-2-2-22-2-200220000000000000000000000−2i2i00000000−2i2i2i−2i00000000
χ4922-2-2222-22-222222222-22-2-22222-2-2-2-2222222-2-2-200-2-200000000000000000000000000000000000000002-200
χ5022-2-2222-22-222222222-22-2-22222-2-2-2-2222222-2-2-200-2-20000000000000000000000000000000000000000-2200
χ5122-2-222-12-22-22-1-2-211-1-2211-1-1-1-1-222-1111-211-11100-1-13−3−3300003−3−333−3−330000002i−2i00000000−iii−i−i3i3i3−i30000
χ5222-2-222-12-22-22-1-2-211-1-2211-1-1-1-1-222-1111-211-11100-1-13−3−3300003−3−333−3−33000000−2i2i00000000i−i−iii3−i3−i3i30000
χ5322-2-222-12-22-22-1-2-211-1-2211-1-1-1-1-222-1111-211-11100-1-1−333−30000−333−3−333−30000002i−2i00000000−iii−ii3−i3−i3i30000
χ5422-2-222-12-22-22-1-2-211-1-2211-1-1-1-1-222-1111-211-11100-1-1−333−30000−333−3−333−3000000−2i2i00000000i−i−ii−i3i3i3−i30000
χ55444444-2-4-4-4-44-2-4-422-244-2-2-2-2-2-24-4-42222-4222-2-2002200000000000000000000000000000000000000000000
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
χ5844444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-22222-1-12-1-121100-1-100002323−23−23−3−3−3−333330000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-22222-1-12-1-121100-1-10000−23−2323233333−3−3−3−30000000000000000000000000000
χ60444-4-44-24-4-444-2-4-4-2-2-24-4-22222-2-44-4-22224-2-22-2200-2200000000000000000000000000000000000000000000
χ61444-4-4-2-24-4-44-2-222-2-21-22-222-1-112-22-22-1-1-21121-1001-10000−2i32i32i3−2i3i3i3−i3−i3−i3−i3i3i30000000000000000000000000000
χ62444-4-4-2-24-4-44-2-222-2-21-22-222-1-112-22-22-1-1-21121-1001-100002i3−2i3−2i32i3−i3−i3i3i3i3i3−i3−i30000000000000000000000000000
χ63444-4-4-2-2-444-4-2-2-2-2221-22-222-1-1122-22-2112-1-1-21-14i−4i-11−2i−2i2i2i−2i2i−2i2iii−i−iii−i−i0000000000000000000000000000
χ64444-4-4-2-2-444-4-2-2-2-2221-22-222-1-1122-22-2112-1-1-21-1−4i4i-112i2i−2i−2i2i−2i2i−2i−i−iii−i−iii0000000000000000000000000000
χ6544-44-44-244-4-44-24422-2-4-42-2222-244-4-2-2-2-2-42222-200-2200000000000000000000000000000000000000000000
χ6644-44-4-2444-4-4-24-2-2-4-4-222-44-422-2-2-2244-2-2222-42-200-2200000000000000000000000000000000000000000000
χ6744-44-4-24-4-444-242244-222-44-422-2-22-2-4-422-2-2-242-2002-200000000000000000000000000000000000000000000
χ6844-44-4-2-244-4-4-2-2-2-2221222-22-1-11-2-22-2-2112-1-12-11001-1000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000
χ6944-44-4-2-244-4-4-2-2-2-2221222-22-1-11-2-22-2-2112-1-12-11001-100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000
χ7044-44-4-2-2-4-444-2-222-2-21222-22-1-11-22-222-1-1-211-2-1100-11−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i30000000000000000000000000000
χ7144-44-4-2-2-4-444-2-222-2-21222-22-1-11-22-222-1-1-211-2-1100-112i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i30000000000000000000000000000
χ7244-4-444-2-44-444-244-2-2-2-4422-2-2-2-2-4-4-42-2-2-24-2-2222002200000000000000000000000000000000000000000000
χ7344-4-44-244-44-4-2422-4-4-22-2-4-44-2-2-22-2-24-42222242200-2-200000000000000000000000000000000000000000000
χ7444-4-44-24-44-44-24-2-244-22-2-4-44-2-2-2222-44-2-2-2-2-2-422002200000000000000000000000000000000000000000000
χ7544-4-44-2-24-44-4-2-2222212-222-21112-2-2-22-1-12-1-1-2-1-1001123−23−23230000−333−3−333−30000000000000000000000000000
χ7644-4-44-2-24-44-4-2-2222212-222-21112-2-2-22-1-12-1-1-2-1-10011−232323−2300003−3−333−3−330000000000000000000000000000
χ7744-4-44-2-2-44-44-2-2-2-2-2-212-222-21112222-211-2112-1-100-1-1000000003-3-33-333-30000000000000000000000000000
χ7844-4-44-2-2-44-44-2-2-2-2-2-212-222-21112222-211-2112-1-100-1-100000000-333-33-3-330000000000000000000000000000
χ798-8000880000-8-8000080000000-80000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-840043−43-4000000040000000043−43000000000000000000000000000000000000000000000000000
χ818-80008-40000-8400−4343-40000000400000000−4343000000000000000000000000000000000000000000000000000
χ828-8000-4800004-843−4300-4000000040000043−43000000000000000000000000000000000000000000000000000000
χ838-8000-4800004-8−434300-40000000400000−4343000000000000000000000000000000000000000000000000000000
χ848-8000-4-400004443−4343−432000006-6-200000−23230−2323000000000000000000000000000000000000000000000000000
χ858-8000-4-400004443−43−4343200000-66-200000−2323023−23000000000000000000000000000000000000000000000000000
χ868-8000-4-4000044−434343−43200000-66-20000023−230−2323000000000000000000000000000000000000000000000000000
χ878-8000-4-4000044−4343−43432000006-6-20000023−23023−23000000000000000000000000000000000000000000000000000

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