Finite Group Databasebeta

← Group #11794615

Character table — Group #11794615

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order1222233444466661212366666666121212121212121212121266881212242424242424242424242424242424242266668888882424242424242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000002-222-2-20000000000000000000000
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000-22-2-2220000000000000000000000
χ11222222-12222-1-12-122-1222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1220000-1-1-1-1000000000000
χ12222222-12222-1-12-122-1222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-200001111000000000000
χ13222222-12222-1-12-122-1222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-2-2-1-1-2-2-2-211111111111122-1-1-1-1-2-200001111000000000000
χ14222222-12222-1-12-122-1222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-2-2-1-1-2-2-2-2111111111111-2-21111220000-1-1-1-1000000000000
χ15222222-1-2-2-2-2-1-12-1-2-2-1222-1-1-1-1-11111-2111-2-21-1-100110000333333−3−3−3−3−3−32-2-1-11100000033−3−3000000000000
χ16222222-1-2-2-2-2-1-12-1-2-2-1222-1-1-1-1-11111-2111-2-21-1-100110000333333−3−3−3−3−3−3-2211-1-1000000−3−333000000000000
χ17222222-1-2-2-2-2-1-12-1-2-2-1222-1-1-1-1-11111-2111-2-21-1-100110000−3−3−3−3−3−33333332-2-1-111000000−3−333000000000000
χ18222222-1-2-2-2-2-1-12-1-2-2-1222-1-1-1-1-11111-2111-2-21-1-100110000−3−3−3−3−3−3333333-2211-1-100000033−3−3000000000000
χ1922222-12222222-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000000022220000-1-1-1-1-1-1-1-10000
χ2022222-12222222-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-100000000-2-2-2-20000111111110000
χ2122222-12222222-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-12-1-1-2-2-1-11111-2-21111-2-211110000000022-2-20000-1-1-1-111110000
χ2222222-12222222-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-12-1-1-2-2-1-11111-2-21111-2-2111100000000-2-22200001111-1-1-1-10000
χ23222-2-22222-2-2-2-2222222-2-22-2-2-222-222-2-2-2-22-222-2002-2000000000000000000000000002i−2i000000002i2i−2i−2i0000
χ24222-2-22222-2-2-2-2222222-2-22-2-2-222-222-2-2-2-22-222-2002-200000000000000000000000000−2i2i00000000−2i−2i2i2i0000
χ25222-2-222-2-222-2-222-2-222-2-22-2-2-22-22-2-22222-22-22-200-2200000000000000000000000000000000000000002-200
χ26222-2-222-2-222-2-222-2-222-2-22-2-2-22-22-2-22222-22-22-200-220000000000000000000000000000000000000000-2200
χ27222-2-2-1222-2-2-2-2-12-1-1-1-1112-211-12-2-1-11-211-112-1100-1133−3−30033−3−30033−3−300000000002i−2i0000−i3−i3i3i3−i−iii0000
χ28222-2-2-1222-2-2-2-2-12-1-1-1-1112-211-12-2-1-11-211-112-1100-1133−3−30033−3−30033−3−30000000000−2i2i0000i3i3−i3−i3ii−i−i0000
χ29222-2-2-1222-2-2-2-2-12-1-1-1-1112-211-12-2-1-11-211-112-1100-11−3−33300−3−33300−3−33300000000002i−2i0000i3i3−i3−i3−i−iii0000
χ30222-2-2-1222-2-2-2-2-12-1-1-1-1112-211-12-2-1-11-211-112-1100-11−3−33300−3−33300−3−3330000000000−2i2i0000−i3−i3i3i3ii−i−i0000
χ3122-22-2222-22-22222222-22-2-2-22222-2222222-2-2-2-2-200-2-20000000000000000000000002i−2i0000002i−2i2i−2i00000000
χ3222-22-2222-22-22222222-22-2-2-22222-2222222-2-2-2-2-200-2-2000000000000000000000000−2i2i000000−2i2i−2i2i00000000
χ3322-22-222-22-222222-2-22-22-2-2-2222-22-2-2-2-2-2-2222-2-200220000000000000000000000000000000000000000002-2
χ3422-22-222-22-222222-2-22-22-2-2-2222-22-2-2-2-2-2-2222-2-20022000000000000000000000000000000000000000000-22
χ3522-22-2-122-22-222-12-1-1-11-11-2-2-1-1-12-2-1-1-12-1-111-2110011−i3i3−i3i300−i3i3−i3i300−i3i3−i3i3000000002i−2i000000−ii−ii3−33−30000
χ3622-22-2-122-22-222-12-1-1-11-11-2-2-1-1-12-2-1-1-12-1-111-2110011−i3i3−i3i300−i3i3−i3i300−i3i3−i3i300000000−2i2i000000i−ii−i−33−330000
χ3722-22-2-122-22-222-12-1-1-11-11-2-2-1-1-12-2-1-1-12-1-111-2110011i3−i3i3−i300i3−i3i3−i300i3−i3i3−i3000000002i−2i000000−ii−ii−33−330000
χ3822-22-2-122-22-222-12-1-1-11-11-2-2-1-1-12-2-1-1-12-1-111-2110011i3−i3i3−i300i3−i3i3−i300i3−i3i3−i300000000−2i2i000000i−ii−i3−33−30000
χ3922-2-22222-2-22-2-222222-2-22-22-2-222222-2-2-2-2-22-2-222i−2i-222i−2i−2i2i2i−2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000
χ4022-2-22222-2-22-2-222222-2-22-22-2-222222-2-2-2-2-22-2-22−2i2i-22−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000
χ4122-2-2222-222-2-2-222-2-22-2-22-22-2-22-2-2-2-222222-22-22002-200000000000000000000002-200002-22-2000000000000
χ4222-2-2222-222-2-2-222-2-22-2-22-22-2-22-2-2-2-222222-22-22002-20000000000000000000000-220000-22-22000000000000
χ4322-2-222-12-2-22112-122-1-2-221-111-1-1-1-1-1-2111-2211-12i−2i1-12i−2i−2i2i−ii−iii−i−ii−iii−i00−i3i3−i3i30000003−3−33000000000000
χ4422-2-222-12-2-22112-122-1-2-221-111-1-1-1-1-1-2111-2211-12i−2i1-12i−2i−2i2i−ii−iii−i−ii−iii−i00i3−i3i3−i3000000−333−3000000000000
χ4522-2-222-12-2-22112-122-1-2-221-111-1-1-1-1-1-2111-2211-1−2i2i1-1−2i2i2i−2ii−ii−i−iii−ii−i−ii00−i3i3−i3i3000000−333−3000000000000
χ4622-2-222-12-2-22112-122-1-2-221-111-1-1-1-1-1-2111-2211-1−2i2i1-1−2i2i2i−2ii−ii−i−iii−ii−i−ii00i3−i3i3−i30000003−3−33000000000000
χ4722-2-222-1-222-2112-1-2-2-1-2-221-111-111112-1-1-12-2-11-100-110000−i3i3−i3i3i3−i3i3−i3i3−i3−i3i300−i3i3i3−i32-20000-11-11000000000000
χ4822-2-222-1-222-2112-1-2-2-1-2-221-111-111112-1-1-12-2-11-100-110000−i3i3−i3i3i3−i3i3−i3i3−i3−i3i300i3−i3−i3i3-2200001-11-1000000000000
χ4922-2-222-1-222-2112-1-2-2-1-2-221-111-111112-1-1-12-2-11-100-110000i3−i3i3−i3−i3i3−i3i3−i3i3i3−i300−i3i3i3−i3-2200001-11-1000000000000
χ5022-2-222-1-222-2112-1-2-2-1-2-221-111-111112-1-1-12-2-11-100-110000i3−i3i3−i3−i3i3−i3i3−i3i3i3−i300i3−i3−i3i32-20000-11-11000000000000
χ5122-2-22-122-2-22-2-2-12-1-1-111-1-2211-122-1-11-2111-1-21-12i−2i1-1−iii−i2i−2i−iii−i2i−2i−iii−i00000000000000003−3−33i3−i3−i3i30000
χ5222-2-22-122-2-22-2-2-12-1-1-111-1-2211-122-1-11-2111-1-21-12i−2i1-1−iii−i2i−2i−iii−i2i−2i−iii−i0000000000000000−333−3−i3i3i3−i30000
χ5322-2-22-122-2-22-2-2-12-1-1-111-1-2211-122-1-11-2111-1-21-1−2i2i1-1i−i−ii−2i2ii−i−ii−2i2ii−i−ii00000000000000003−3−33−i3i3i3−i30000
χ5422-2-22-122-2-22-2-2-12-1-1-111-1-2211-122-1-11-2111-1-21-1−2i2i1-1i−i−ii−2i2ii−i−ii−2i2ii−i−ii0000000000000000−333−3i3−i3−i3i30000
χ5544444-24-4-4-4-444-2422-2-2-2-244-2-2-2-4-4222-42222-4-2-2002200000000000000000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-211-2-211-2-2-2114411-2-2-2-2-2-21111-2-211110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-211-2-211-2-2-211-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-211122-1-122-1-12221100-1-100002323−3−3−3−3−23−2333330000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-211122-1-122-1-12221100-1-10000−23−2333332323−3−3−3−30000000000000000000000000000
χ60444-4-44-244-4-4224-244-24-4-4-2222-2-22-2-2-42224-4-2-2200-2200000000000000000000000000000000000000000000
χ61444-4-44-2-4-444224-2-4-4-24-4-4-2222-22-2224-2-2-2-442-22002-200000000000000000000000000000000000000000000
χ62444-4-4-24-4-444-4-4-2422-2-2224-422-2-4422-24-2-22-2-4-22002-200000000000000000000000000000000000000000000
χ63444-4-4-2-244-4-422-2-2-2-21-222-22-1-11-221122-1-1-22-21-1001-12323−23−2300−3−33300−3−3330000000000000000000000000000
χ64444-4-4-2-244-4-422-2-2-2-21-222-22-1-11-221122-1-1-22-21-1001-1−23−2323230033−3−30033−3−30000000000000000000000000000
χ65444-4-4-2-2-4-44422-2-2221-222-22-1-112-2-1-1-2-2112-221-100-1100000033-3-300-3-3330000000000000000000000000000
χ66444-4-4-2-2-4-44422-2-2221-222-22-1-112-2-1-1-2-2112-221-100-11000000-3-3330033-3-30000000000000000000000000000
χ6744-44-44-24-44-4-2-24-244-2-44-422-2-2-2-22-2-24-2-2-2-4-4222002200000000000000000000000000000000000000000000
χ6844-44-44-2-44-44-2-24-2-4-4-2-44-422-2-2-22-222-422244-22200-2-200000000000000000000000000000000000000000000
χ6944-44-4-24-44-4444-2422-22-22-4-4-2-2-2-44222-422-2-242200-2-200000000000000000000000000000000000000000000
χ7044-44-4-2-24-44-4-2-2-2-2-2-212-2222111-2211-2-211222-1-100-1-1−2i32i3−2i32i300i3−i3i3−i300i3−i3i3−i30000000000000000000000000000
χ7144-44-4-2-24-44-4-2-2-2-2-2-212-2222111-2211-2-211222-1-100-1-12i3−2i32i3−2i300−i3i3−i3i300−i3i3−i3i30000000000000000000000000000
χ7244-44-4-2-2-44-44-2-2-2-22212-22221112-2-1-122-1-1-2-2-2-1-100110000003i−3i3i−3i00−3i3i−3i3i0000000000000000000000000000
χ7344-44-4-2-2-44-44-2-2-2-22212-22221112-2-1-122-1-1-2-2-2-1-10011000000−3i3i−3i3i003i−3i3i−3i0000000000000000000000000000
χ7444-4-44-24-444-4-4-4-2422-222-2-4422-2-4-422-24-2-2-2242-200-2200000000000000000000000000000000000000000000
χ7544-4-44-2-24-4-4422-2-2-2-2122-22-2-1-11-2-21122-1-12-22-114i−4i-11−2i2i2i−2i−2i2ii−i−ii−2i2ii−i−ii0000000000000000000000000000
χ7644-4-44-2-24-4-4422-2-2-2-2122-22-2-1-11-2-21122-1-12-22-11−4i4i-112i−2i−2i2i2i−2i−iii−i2i−2i−iii−i0000000000000000000000000000
χ7744-4-44-2-2-444-422-2-222122-22-2-1-1122-1-1-2-211-22-2-11001-10000−2i32i3i3−i3−i3i32i3−2i3−i3i3i3−i30000000000000000000000000000
χ7844-4-44-2-2-444-422-2-222122-22-2-1-1122-1-1-2-211-22-2-11001-100002i3−2i3−i3i3i3−i3−2i32i3i3−i3−i3i30000000000000000000000000000
χ798-800088000000-8-80080000000-80000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000−4i34i3-8400-400000−4i34i340000000000000000000000000000000000000000000000000000000000000
χ818-80008-400004i3−4i3-8400-4000004i3−4i340000000000000000000000000000000000000000000000000000000000000
χ828-8000-480000004-843−43-4000000040043−43000000000000000000000000000000000000000000000000000000000
χ838-8000-480000004-8−4343-40000000400−4343000000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i34443−432000002i3−2i3-200−2323006i−6i00000000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i344−43432000002i3−2i3-20023−2300−6i6i00000000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i34443−43200000−2i32i3-200−232300−6i6i00000000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i344−4343200000−2i32i3-20023−23006i−6i00000000000000000000000000000000000000000000000000000

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