Finite Group Databasebeta

← Group #11793138

Character table — Group #11793138

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122222222336666663666666666666666666644666612121212121212121212121212121212244444446612121212121212121212121212124444
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
χ92222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-100000000
χ102222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011110000111100000000
χ112222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2-2-21111111111112200-2-200-1-1-1-10000111100000000
χ122222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2-2-2111111111111-2-200220011110000-1-1-1-100000000
χ13222222222-12-122-1-12-1-1-1-1-12222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-10000
χ14222222222-12-122-1-12-1-1-1-1-12222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-200-2-200001111000011110000
χ15222222222-12-122-1-12-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-2-2-1-1-1-11111-2-2-2-211111111002200-2-20000-1-1-1-1000011110000
χ16222222222-12-122-1-12-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-2-2-1-1-1-11111-2-2-2-21111111100-2-20022000011110000-1-1-1-10000
χ1722222-2-2-2-222222-2-222222-222-2-2222-2-2-2-2-2-2-2-20022-2-200000000000000002-200000022-2-20000000000000000
χ1822222-2-2-2-222222-2-222222-222-2-2222-2-2-2-2-2-2-2-20022-2-20000000000000000-22000000-2-2220000000000000000
χ1922222-2-2-2-22-12-1-1-2-2-1-1222-2-1-111-1-1-111-2111-2100-1-111000033−3−33333−3−3−3−32-2000000-1-111000033−3−300000000
χ2022222-2-2-2-22-12-1-1-2-2-1-1222-2-1-111-1-1-111-2111-2100-1-111000033−3−33333−3−3−3−3-2200000011-1-10000−3−33300000000
χ2122222-2-2-2-22-12-1-1-2-2-1-1222-2-1-111-1-1-111-2111-2100-1-1110000−3−333−3−3−3−333332-2000000-1-1110000−3−33300000000
χ2222222-2-2-2-22-12-1-1-2-2-1-1222-2-1-111-1-1-111-2111-2100-1-1110000−3−333−3−3−3−33333-2200000011-1-1000033−3−300000000
χ23222-2-222-2-22222222222-2-2-2-2-22-2222222222-2-200-2-2-2-200000000000000000000000000000000000000002i−2i00
χ24222-2-222-2-22222222222-2-2-2-2-22-2222222222-2-200-2-2-2-20000000000000000000000000000000000000000−2i2i00
χ25222-2-2-2-22222222-2-2222-2-22-2-2-22222-2-2-2-2-2-22200-2-22200000000000000000000002-200000000000022-2-20000
χ26222-2-2-2-22222222-2-2222-2-22-2-2-22222-2-2-2-2-2-22200-2-2220000000000000000000000-22000000000000-2-2220000
χ27222-2-2-2-222-12-122112-1-111-1-2-2-22-1-1-1111-211-120011-1-133−3−3000033−3−333−3−30000002-2000033−3−30000-1-1110000
χ28222-2-2-2-222-12-122112-1-111-1-2-2-22-1-1-1111-211-120011-1-133−3−3000033−3−333−3−3000000-220000−3−333000011-1-10000
χ29222-2-2-2-222-12-122112-1-111-1-2-2-22-1-1-1111-211-120011-1-1−3−3330000−3−333−3−3330000002-20000−3−3330000-1-1110000
χ30222-2-2-2-222-12-122112-1-111-1-2-2-22-1-1-1111-211-120011-1-1−3−3330000−3−333−3−333000000-22000033−3−3000011-1-10000
χ3122-22-22-22-2222-2-2-2-222-22-222-2-222-2-2-2-22222-2-2002-22-20000000000000000002i−2i000000002i−2i2i−2i000000000000
χ3222-22-22-22-2222-2-2-2-222-22-222-2-222-2-2-2-22222-2-2002-22-2000000000000000000−2i2i00000000−2i2i−2i2i000000000000
χ3322-22-22-22-2-12-1-2-2112-11-11-12-2-22-11111-12-1-11-200-11-11−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3002i−2i00000000−ii−ii00003−33−30000
χ3422-22-22-22-2-12-1-2-2112-11-11-12-2-22-11111-12-1-11-200-11-11−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i300−2i2i00000000i−ii−i0000−33−330000
χ3522-22-22-22-2-12-1-2-2112-11-11-12-2-22-11111-12-1-11-200-11-11i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3002i−2i00000000−ii−ii0000−33−330000
χ3622-22-22-22-2-12-1-2-2112-11-11-12-2-22-11111-12-1-11-200-11-11i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i300−2i2i00000000i−ii−i00003−33−30000
χ3722-22-2-22-22222-2-22222-22-2-22-22-22-2-222-2-2-2-222002-2-220000000000000000000000000000000000000000002-2
χ3822-22-2-22-22222-2-22222-22-2-22-22-22-2-222-2-2-2-222002-2-22000000000000000000000000000000000000000000-22
χ3922-2-222-2-22222-2-2-2-222-2-22-2-22-2-22-2-2-2-222222200-22-22000000000000000000002-200000000002-22-200000000
χ4022-2-222-2-22222-2-2-2-222-2-22-2-22-2-22-2-2-2-222222200-22-2200000000000000000000-220000000000-22-2200000000
χ4122-2-222-2-222-1211-2-2-1-1-2-22-21-111-111112-1-1-12-1001-11-10000−i3i3−i3i3−i3i3i3−i3i3−i3−i3i300002-200−i3i3−i3i30000-11-1100000000
χ4222-2-222-2-222-1211-2-2-1-1-2-22-21-111-111112-1-1-12-1001-11-10000−i3i3−i3i3−i3i3i3−i3i3−i3−i3i30000-2200i3−i3i3−i300001-11-100000000
χ4322-2-222-2-222-1211-2-2-1-1-2-22-21-111-111112-1-1-12-1001-11-10000i3−i3i3−i3i3−i3−i3i3−i3i3i3−i300002-200i3−i3i3−i30000-11-1100000000
χ4422-2-222-2-222-1211-2-2-1-1-2-22-21-111-111112-1-1-12-1001-11-10000i3−i3i3−i3i3−i3−i3i3−i3i3i3−i30000-2200−i3i3−i3i300001-11-100000000
χ4522-2-22-222-2222-2-22222-2-222-22222-2-222-2-2-2-2-2-22i−2i-222-22i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000000
χ4622-2-22-222-2222-2-22222-2-222-22222-2-222-2-2-2-2-2-2−2i2i-222-2−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000
χ4722-2-22-222-22-121122-1-1-2-2221-1-1-1-111-1-1-2111-212i−2i1-1-112i−2i−2i2i−iii−i−iii−i−iii−i00000000−i3i3i3−i300003−3−3300000000
χ4822-2-22-222-22-121122-1-1-2-2221-1-1-1-111-1-1-2111-212i−2i1-1-112i−2i−2i2i−iii−i−iii−i−iii−i00000000i3−i3−i3i30000−333−300000000
χ4922-2-22-222-22-121122-1-1-2-2221-1-1-1-111-1-1-2111-21−2i2i1-1-11−2i2i2i−2ii−i−iii−i−iii−i−ii00000000−i3i3i3−i30000−333−300000000
χ5022-2-22-222-22-121122-1-1-2-2221-1-1-1-111-1-1-2111-21−2i2i1-1-11−2i2i2i−2ii−i−iii−i−iii−i−ii00000000i3−i3−i3i300003−3−3300000000
χ5122-2-22-222-2-12-1-2-2-1-12-111-1-1-2222-111-1-11-2111-22i−2i1-1-11−iii−i2i−2i−2i2i−iii−i−iii−i000000000000−i3i3i3−i30000−333−30000
χ5222-2-22-222-2-12-1-2-2-1-12-111-1-1-2222-111-1-11-2111-22i−2i1-1-11−iii−i2i−2i−2i2i−iii−i−iii−i000000000000i3−i3−i3i300003−3−330000
χ5322-2-22-222-2-12-1-2-2-1-12-111-1-1-2222-111-1-11-2111-2−2i2i1-1-11i−i−ii−2i2i2i−2ii−i−iii−i−ii000000000000−i3i3i3−i300003−3−330000
χ5422-2-22-222-2-12-1-2-2-1-12-111-1-1-2222-111-1-11-2111-2−2i2i1-1-11i−i−ii−2i2i2i−2ii−i−iii−i−ii000000000000i3−i3−i3i30000−333−30000
χ55444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-2-211-2-2441111-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ56444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-2-211-2-2-4-4111122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5744444-4-4-4-4-24-244224-2-2-2-2244-4-4-2-2-2222-4222-400-2-22200000000000000000000000000000000000000000000
χ5844444-4-4-4-4-2-2-2-2-222-21-2-2-22-2-222111-1-122-1-1220011-1-100002323−23−23−3−3−3−333330000000000000000000000000000
χ5944444-4-4-4-4-2-2-2-2-222-21-2-2-22-2-222111-1-122-1-1220011-1-10000−23−2323233333−3−3−3−30000000000000000000000000000
χ60444-4-444-4-44-24-2-244-2-24-4-4-422-22-2-2-2-2-24-2-2-2-4200222200000000000000000000000000000000000000000000
χ61444-4-444-4-4-24-244-2-24-2-2222-4-44-4-2-2-2-2-2-24-2-22-400222200000000000000000000000000000000000000000000
χ62444-4-444-4-4-2-2-2-2-2-2-2-21-222222-2211111-2-2112200-1-1-1-10000000033-3-3-3-3330000000000000000000000000000
χ63444-4-444-4-4-2-2-2-2-2-2-2-21-222222-2211111-2-2112200-1-1-1-100000000-3-33333-3-30000000000000000000000000000
χ64444-4-4-4-4444-24-2-2-4-4-2-24-4-44222-2-2-2-222-42224-20022-2-200000000000000000000000000000000000000000000
χ65444-4-4-4-444-2-2-2-2-222-21-222-2222-2111-1-122-1-1-2-200-1-1112323−23−230000−3−333−3−3330000000000000000000000000000
χ66444-4-4-4-444-2-2-2-2-222-21-222-2222-2111-1-122-1-1-2-200-1-111−23−232323000033−3−333−3−30000000000000000000000000000
χ6744-44-44-44-44-2422-4-4-2-2-44-44-222-2-222224-2-2-2-4200-22-2200000000000000000000000000000000000000000000
χ6844-44-44-44-4-2-2-22222-212-22-2-222-21-1-1-1-1-2-21122001-11-1−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i30000000000000000000000000000
χ6944-44-44-44-4-2-2-22222-212-22-2-222-21-1-1-1-1-2-21122001-11-12i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i30000000000000000000000000000
χ7044-44-4-44-444-242244-2-2-44-4-4-22-22-222-2-2-42224-200-222-200000000000000000000000000000000000000000000
χ7144-44-4-44-44-24-2-4-4-2-24-22-2224-44-4-222-2-22-422-2400-222-200000000000000000000000000000000000000000000
χ7244-44-4-44-44-2-2-222-2-2-212-222-22-221-1-11122-1-1-2-2001-1-11000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000
χ7344-44-4-44-44-2-2-222-2-2-212-222-22-221-1-11122-1-1-2-2001-1-1100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000
χ7444-4-444-4-44-24-2-4-4224-222-22-44-4-4-22222-24-2-2-24002-22-200000000000000000000000000000000000000000000
χ7544-4-444-4-44-2-2-22222-2122-222-2221-1-1-1-1-2-211-2-200-11-110000−2i32i3−2i32i3i3−i3−i3i3−i3i3i3−i30000000000000000000000000000
χ7644-4-444-4-44-2-2-22222-2122-222-2221-1-1-1-1-2-211-2-200-11-1100002i3−2i32i3−2i3−i3i3i3−i3i3−i3−i3i30000000000000000000000000000
χ7744-4-44-444-4-2-2-222-2-2-2122-2-22-2-2-21-1-11122-1-1224i−4i-111-1−2i2i2i−2i−2i2i2i−2ii−i−iii−i−ii0000000000000000000000000000
χ7844-4-44-444-4-2-2-222-2-2-2122-2-22-2-2-21-1-11122-1-122−4i4i-111-12i−2i−2i2i2i−2i−2i2i−iii−i−iii−i0000000000000000000000000000
χ798-8000000088-80000-8800000000-8000000000000000000000000000000000000000000000000000000000000
χ808-800000008-4-8−4i34i3004-4000000004−4i34i30000000000000000000000000000000000000000000000000000000000
χ818-800000008-4-84i3−4i3004-40000000044i3−4i30000000000000000000000000000000000000000000000000000000000
χ828-80000000-48400−4i34i3-8-400000000400−4i34i300000000000000000000000000000000000000000000000000000000
χ838-80000000-484004i3−4i3-8-4000000004004i3−4i300000000000000000000000000000000000000000000000000000000
χ848-80000000-4-44−4i34i3−4i34i34200000000-22i3−2i32i3−2i3006-60000000000000000000000000000000000000000000000000000
χ858-80000000-4-44−4i34i34i3−4i34200000000-22i3−2i3−2i32i300-660000000000000000000000000000000000000000000000000000
χ868-80000000-4-444i3−4i3−4i34i34200000000-2−2i32i32i3−2i300-660000000000000000000000000000000000000000000000000000
χ878-80000000-4-444i3−4i34i3−4i34200000000-2−2i32i3−2i32i3006-60000000000000000000000000000000000000000000000000000

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