Finite Group Databasebeta

← Group #11795052

Character table — Group #11795052

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122223344446612121212366666666612121212121212121212446612121212121212121212121212121212121244888888121212122424242424242424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111
χ92222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-20000000000000000002i−2i000000002i2i−2i−2i000000000000
χ102222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-2000000000000000000−2i2i00000000−2i−2i2i2i000000000000
χ11222222-122222-122-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-10000
χ12222222-122222-122-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200001111000011110000
χ13222222-122222-122-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-12-1-2-2-1-1-1-1-2-2-2-2111111111111002200-2-20000-1-1-1-1000011110000
χ14222222-122222-122-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-12-1-2-2-1-1-1-1-2-2-2-211111111111100-2-20022000011110000-1-1-1-10000
χ15222222-1-2-2-2-22-1-2-211-12-1-12-1-1-1-12-2-2111111-2100-1-1110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3002i−2i00000000−i−iii000033−3−30000
χ16222222-1-2-2-2-22-1-2-211-12-1-12-1-1-1-12-2-2111111-2100-1-1110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i300−2i2i00000000ii−i−i0000−3−3330000
χ17222222-1-2-2-2-22-1-2-211-12-1-12-1-1-1-12-2-2111111-2100-1-1110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3002i−2i00000000−i−iii0000−3−3330000
χ18222222-1-2-2-2-22-1-2-211-12-1-12-1-1-1-12-2-2111111-2100-1-1110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i300−2i2i00000000ii−i−i000033−3−30000
χ1922222-122222-12-1-122-1-122-12-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122002200-1-1-1-10000-1-1-1-100000000
χ2022222-122222-12-1-122-1-122-12-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-200-2-20011110000111100000000
χ2122222-122222-12-1-122-1-122-12-1-1-1-1-1-122-1-1-1-1-12-2-2-1-1-1-11111-2-21111-2-211112200-2-200-1-1-1-10000111100000000
χ2222222-122222-12-1-122-1-122-12-1-1-1-1-1-122-1-1-1-1-12-2-2-1-1-1-11111-2-21111-2-21111-2-200220011110000-1-1-1-100000000
χ23222-2-2222-22-22222-2-2222-2-2-22-2-2-2-2-22-222-2-2222i−2i2-22-22i2i−2i−2i2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000
χ24222-2-2222-22-22222-2-2222-2-2-22-2-2-2-2-22-222-2-222−2i2i2-22-2−2i−2i2i2i−2i2i−2i−2i2i2i−2i2i−2i−2i2i2i0000000000000000000000000000
χ25222-2-222-22-2222-2-222222-2-2-22-2-2-222-22-2-222-2-2002-2-2200000000000000000000002i−2i0000000000002i−2i2i−2i0000
χ26222-2-222-22-2222-2-222222-2-2-22-2-2-222-22-2-222-2-2002-2-220000000000000000000000−2i2i000000000000−2i2i−2i2i0000
χ27222-2-22-12-22-22-12211-12-11-21-111-2-2-2-11-1-1112-12i−2i-11-112i2i−2i−2i−ii−i−iii−ii−i−iii0000000000003−33−30000−i3i3i3−i30000
χ28222-2-22-12-22-22-12211-12-11-21-111-2-2-2-11-1-1112-12i−2i-11-112i2i−2i−2i−ii−i−iii−ii−i−iii000000000000−33−330000i3−i3−i3i30000
χ29222-2-22-12-22-22-12211-12-11-21-111-2-2-2-11-1-1112-1−2i2i-11-11−2i−2i2i2ii−iii−i−ii−iii−i−i0000000000003−33−30000i3−i3−i3i30000
χ30222-2-22-12-22-22-12211-12-11-21-111-2-2-2-11-1-1112-1−2i2i-11-11−2i−2i2i2ii−iii−i−ii−iii−i−i000000000000−33−330000−i3i3i3−i30000
χ31222-2-22-1-22-222-1-2-2-1-1-12-11-21-111-2221-111-1-1-2100-111-100003−333−3−3−33−3−3330000002i−2i0000i3−i3−i3i30000−ii−ii0000
χ32222-2-22-1-22-222-1-2-2-1-1-12-11-21-111-2221-111-1-1-2100-111-100003−333−3−3−33−3−333000000−2i2i0000−i3i3i3−i30000i−ii−i0000
χ33222-2-22-1-22-222-1-2-2-1-1-12-11-21-111-2221-111-1-1-2100-111-10000−33−3−3333−333−3−30000002i−2i0000−i3i3i3−i30000−ii−ii0000
χ34222-2-22-1-22-222-1-2-2-1-1-12-11-21-111-2221-111-1-1-2100-111-10000−33−3−3333−333−3−3000000−2i2i0000i3−i3−i3i30000i−ii−i0000
χ35222-2-2-122-22-2-12-1-1-2-2-1-12-21-2-1111112-2-1-111-122i−2i-11-11−i−iii2i−2i−i−iii2i−2i−i−iii0000000033−3−30000−i3−i3i3i300000000
χ36222-2-2-122-22-2-12-1-1-2-2-1-12-21-2-1111112-2-1-111-122i−2i-11-11−i−iii2i−2i−i−iii2i−2i−i−iii00000000−3−3330000i3i3−i3−i300000000
χ37222-2-2-122-22-2-12-1-1-2-2-1-12-21-2-1111112-2-1-111-12−2i2i-11-11ii−i−i−2i2iii−i−i−2i2iii−i−i0000000033−3−30000i3i3−i3−i300000000
χ38222-2-2-122-22-2-12-1-1-2-2-1-12-21-2-1111112-2-1-111-12−2i2i-11-11ii−i−i−2i2iii−i−i−2i2iii−i−i00000000−3−3330000−i3−i3i3i300000000
χ3922-22-22222-2-22222222-2-2-222222-22-22-22222-2-200-2-2-2-200000000000000002i−2i0000002i−2i2i−2i0000000000000000
χ4022-22-22222-2-22222222-2-2-222222-22-22-22222-2-200-2-2-2-20000000000000000−2i2i000000−2i2i−2i2i0000000000000000
χ4122-22-222-2-22222-2-2-2-22-2-2-222222-2-22-22-2-2-2-22200-2-2220000000000000000000000000000000000000000002-2
χ4222-22-222-2-22222-2-2-2-22-2-2-222222-2-22-22-2-2-2-22200-2-222000000000000000000000000000000000000000000-22
χ4322-22-2-1222-2-2-12-1-122-11-2-2-12-1-1-11-112-2-1-1-1-11-2001111−i3i3−i3i300−i3i3−i3i300−i3i3−i3i32i−2i000000−ii−ii00003−33−300000000
χ4422-22-2-1222-2-2-12-1-122-11-2-2-12-1-1-11-112-2-1-1-1-11-2001111−i3i3−i3i300−i3i3−i3i300−i3i3−i3i3−2i2i000000i−ii−i0000−33−3300000000
χ4522-22-2-1222-2-2-12-1-122-11-2-2-12-1-1-11-112-2-1-1-1-11-2001111i3−i3i3−i300i3−i3i3−i300i3−i3i3−i32i−2i000000−ii−ii0000−33−3300000000
χ4622-22-2-1222-2-2-12-1-122-11-2-2-12-1-1-11-112-2-1-1-1-11-2001111i3−i3i3−i300i3−i3i3−i300i3−i3i3−i3−2i2i000000i−ii−i00003−33−300000000
χ4722-2-22222-2-222222-2-22-2-22-2-22-2-22-222222-2-2-2-200-22-22000000000000000000002i−2i00000000002i−2i−2i2i00000000
χ4822-2-22222-2-222222-2-22-2-22-2-22-2-22-222222-2-2-2-200-22-2200000000000000000000−2i2i0000000000−2i2i2i−2i00000000
χ4922-2-2222-222-222-2-2222-2-22-2-22-2-222-2-2-2-2-2222200-222-200000000000000000000000000000000000000002-200
χ5022-2-2222-222-222-2-2222-2-22-2-22-2-222-2-2-2-2-2222200-222-20000000000000000000000000000000000000000-2200
χ5122-2-22-122-2-22-12-1-1-2-2-11-221-2-111-11-122-1-1111-2001-11-13−3−33003−3−33003−3−3300002i−2i00i3−i3−i3i30000−iii−i00000000
χ5222-2-22-122-2-22-12-1-1-2-2-11-221-2-111-11-122-1-1111-2001-11-13−3−33003−3−33003−3−330000−2i2i00−i3i3i3−i30000i−i−ii00000000
χ5322-2-22-122-2-22-12-1-1-2-2-11-221-2-111-11-122-1-1111-2001-11-1−333−300−333−300−333−300002i−2i00−i3i3i3−i30000−iii−i00000000
χ5422-2-22-122-2-22-12-1-1-2-2-11-221-2-111-11-122-1-1111-2001-11-1−333−300−333−300−333−30000−2i2i00i3−i3−i3i30000i−i−ii00000000
χ5544444-24-4-4-4-4-2422-4-4-2-244-24-2-2-2-222-4-422222-400-2-22200000000000000000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-21111-2-2441111-2-2-2-2-2-21111-2-211110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-21111-2-2-4-41111222222-1-1-1-122-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-22222-1-1-1-1220011-1-10000−2i3−2i3i3i3i3i32i32i3−i3−i3−i3−i30000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-22222-1-1-1-1220011-1-100002i32i3−i3−i3−i3−i3−2i3−2i3i3i3i3i30000000000000000000000000000
χ60444-4-4-24-44-44-242244-2-24-42-4-2222-2-2-4422-2-22-400-222-200000000000000000000000000000000000000000000
χ61444-4-4-2-24-44-4-2-2-2-2221-2-22221-1-1222-2211-1-1-2-24i−4i1-11-1−2i−2i2i2i−2i2iii−i−i−2i2iii−i−i0000000000000000000000000000
χ62444-4-4-2-24-44-4-2-2-2-2221-2-22221-1-1222-2211-1-1-2-2−4i4i1-11-12i2i−2i−2i2i−2i−i−iii2i−2i−i−iii0000000000000000000000000000
χ63444-4-4-2-2-44-44-2-222-2-21-2-22221-1-12-2-22-2-1-11122001-1-11000023−23−3−333−232333−3−30000000000000000000000000000
χ64444-4-4-2-2-44-44-2-222-2-21-2-22221-1-12-2-22-2-1-11122001-1-110000−232333−3−323−23−3−3330000000000000000000000000000
χ6544-44-44-244-4-44-244-2-2-2-4224-2-2-2-2-44-4-22-2-2-2-2-4200222200000000000000000000000000000000000000000000
χ6644-44-44-2-4-4444-2-4-422-2-4224-2-2-2-2-4-442-222224-20022-2-200000000000000000000000000000000000000000000
χ6744-44-4-24-4-444-2422-4-4-22-4-4-24-2-2-222-2-442222-240022-2-200000000000000000000000000000000000000000000
χ6844-44-4-2-244-4-4-2-2-2-2-2-21222-2-21112-22-2211112200-1-1-1-1−2i32i3−2i32i300i3−i3i3−i300i3−i3i3−i30000000000000000000000000000
χ6944-44-4-2-244-4-4-2-2-2-2-2-21222-2-21112-22-2211112200-1-1-1-12i3−2i32i3−2i300−i3i3−i3i300−i3i3−i3i30000000000000000000000000000
χ7044-44-4-2-2-4-444-2-222221222-2-211122-22-2-1-1-1-1-2-200-1-1110000003-33-300-33-330000000000000000000000000000
χ7144-44-4-2-2-4-444-2-222221222-2-211122-22-2-1-1-1-1-2-200-1-111000000-33-33003-33-30000000000000000000000000000
χ7244-4-444-24-4-444-24422-2-42-2-42-2224-44-2-2-2-222-42002-22-200000000000000000000000000000000000000000000
χ7344-4-444-2-444-44-2-4-4-2-2-2-42-2-42-22244-42222-2-24-2002-2-2200000000000000000000000000000000000000000000
χ7444-4-44-24-444-4-242244-22-442-4-222-2-22-4-422-2-2-24002-2-2200000000000000000000000000000000000000000000
χ7544-4-44-2-24-4-44-2-2-2-222122-2221-1-1-22-2-2-211-1-12200-11-1123−23−232300−333−300−333−30000000000000000000000000000
χ7644-4-44-2-24-4-44-2-2-2-222122-2221-1-1-22-2-2-211-1-12200-11-11−232323−23003−3−33003−3−330000000000000000000000000000
χ7744-4-44-2-2-444-4-2-222-2-2122-2221-1-1-2-2222-1-111-2-200-111-10000003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000
χ7844-4-44-2-2-444-4-2-222-2-2122-2221-1-1-2-2222-1-111-2-200-111-1000000−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000
χ798-8000880000-8-80000800000-8000000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-840043−43-400000400000000043−430000000000000000000000000000000000000000000000000000
χ818-80008-40000-8400−4343-4000004000000000−43430000000000000000000000000000000000000000000000000000
χ828-8000-4800004-843−4300-4000004000000043−43000000000000000000000000000000000000000000000000000000
χ838-8000-4800004-8−434300-40000040000000−4343000000000000000000000000000000000000000000000000000000
χ848-8000-4-400004443−4343−43200000-26-600000−2323−23230000000000000000000000000000000000000000000000000000
χ858-8000-4-400004443−43−4343200000-2-6600000−232323−230000000000000000000000000000000000000000000000000000
χ868-8000-4-4000044−434343−43200000-2-660000023−23−23230000000000000000000000000000000000000000000000000000
χ878-8000-4-4000044−4343−4343200000-26-60000023−2323−230000000000000000000000000000000000000000000000000000

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