Finite Group Databasebeta

← Group #11795005

Character table — Group #11795005

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order1222233444466661212366666666121212121212121212121266881212242424242424242424242424242424242244446666881212121212121212242424248888
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000002i−2i000000002i2i−2i−2i0000
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000−2i2i00000000−2i−2i2i2i0000
χ11222222-12222-1-12-122-12-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-12200000000-1-1-1-10000
χ12222222-12222-1-12-122-12-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200001111-2-20000000011110000
χ13222222-12222-1-12-122-12-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111220000-1-1-1-1-2-20000000011110000
χ14222222-12222-1-12-122-12-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111-2-2000011112200000000-1-1-1-10000
χ15222222-1-2-2-2-2-1-12-1-2-2-12-1-1-1-1-122-2-21111-21111-1-100110000333333−3−3−3−3−3−3000000−i3−i3i3i32i−2i00000000−i−iii0000
χ16222222-1-2-2-2-2-1-12-1-2-2-12-1-1-1-1-122-2-21111-21111-1-100110000333333−3−3−3−3−3−3000000i3i3−i3−i3−2i2i00000000ii−i−i0000
χ17222222-1-2-2-2-2-1-12-1-2-2-12-1-1-1-1-122-2-21111-21111-1-100110000−3−3−3−3−3−3333333000000−i3−i3i3i3−2i2i00000000ii−i−i0000
χ18222222-1-2-2-2-2-1-12-1-2-2-12-1-1-1-1-122-2-21111-21111-1-100110000−3−3−3−3−3−3333333000000i3i3−i3−i32i−2i00000000−i−iii0000
χ1922222-12222222-12-1-1-1-122-1-1-1-1-1-1-122-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1002222000000-1-1-1-1-1-1-1-100000000
χ2022222-12222222-12-1-1-1-122-1-1-1-1-1-1-122-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-100-2-2-2-20000001111111100000000
χ2122222-12222222-12-1-1-1-122-1-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-11111-2-21111-2-211110022-2-2000000-1-1-1-1111100000000
χ2222222-12222222-12-1-1-1-122-1-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-11111-2-21111-2-2111100-2-2220000001111-1-1-1-100000000
χ23222-2-2222-2-2222222222-2-2222-2-2-2-22-2222222-2-2-200-2-20000000000000000002i−2i000000002i2i−2i−2i000000000000
χ24222-2-2222-2-2222222222-2-2222-2-2-2-22-2222222-2-2-200-2-2000000000000000000−2i2i00000000−2i−2i2i2i000000000000
χ25222-2-222-222-22222-2-222-2-2222-2-222-22-2-2-2-2-2-22-2-200220000000000000000000000000000000000000000002i−2i
χ26222-2-222-222-22222-2-222-2-2222-2-222-22-2-2-2-2-2-22-2-20022000000000000000000000000000000000000000000−2i2i
χ27222-2-2-122-2-2222-12-1-1-1-1-2-2-1-1-111112-2-1-1-12-1-1-2110011−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3002i−2i00000000−i−iii33−3−300000000
χ28222-2-2-122-2-2222-12-1-1-1-1-2-2-1-1-111112-2-1-1-12-1-1-2110011−i3−i3i3i300−i3−i3i3i300−i3−i3i3i300−2i2i00000000ii−i−i−3−33300000000
χ29222-2-2-122-2-2222-12-1-1-1-1-2-2-1-1-111112-2-1-1-12-1-1-2110011i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3002i−2i00000000−i−iii−3−33300000000
χ30222-2-2-122-2-2222-12-1-1-1-1-2-2-1-1-111112-2-1-1-12-1-1-2110011i3i3−i3−i300i3i3−i3−i300i3i3−i3−i300−2i2i00000000ii−i−i33−3−300000000
χ3122-22-22222-2-2-2-222222-22-2-2-222-22-22-222-2-2-2-222-2002-2000000000000000000002i−2i00000000002i−2i2i−2i00000000
χ3222-22-22222-2-2-2-222222-22-2-2-222-22-22-222-2-2-2-222-2002-200000000000000000000−2i2i0000000000−2i2i−2i2i00000000
χ3322-22-222-2-222-2-222-2-22-22-2-2-222-2-22-22-2-22222-22-200-2200000000000000000000000000000000000000002-200
χ3422-22-222-2-222-2-222-2-22-22-2-2-222-2-22-22-2-22222-22-200-220000000000000000000000000000000000000000-2200
χ3522-22-2-1222-2-2-2-2-12-1-1-112-211-1-11-112-2-1-11-2112-1100-113−33−3003−33−3003−33−300002i−2i000000−i3i3−i3i3−ii−ii00000000
χ3622-22-2-1222-2-2-2-2-12-1-1-112-211-1-11-112-2-1-11-2112-1100-113−33−3003−33−3003−33−30000−2i2i000000i3−i3i3−i3i−ii−i00000000
χ3722-22-2-1222-2-2-2-2-12-1-1-112-211-1-11-112-2-1-11-2112-1100-11−33−3300−33−3300−33−3300002i−2i000000i3−i3i3−i3−ii−ii00000000
χ3822-22-2-1222-2-2-2-2-12-1-1-112-211-1-11-112-2-1-11-2112-1100-11−33−3300−33−3300−33−330000−2i2i000000−i3i3−i3i3i−ii−i00000000
χ3922-2-22222-22-2-2-222222-2-22-2-22-22-222222-2-2-2-2-2-222i−2i-222i−2i−2i2i2i−2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000
χ4022-2-22222-22-2-2-222222-2-22-2-22-22-222222-2-2-2-2-2-22−2i2i-22−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000
χ4122-2-2222-22-22-2-222-2-22-2-22-2-22-222-2-2-2-2-222222-22002-200000000000000002-200002-22-2000000000000000000
χ4222-2-2222-22-22-2-222-2-22-2-22-2-22-222-2-2-2-2-222222-22002-20000000000000000-220000-22-22000000000000000000
χ4322-2-222-12-22-2112-122-1-21-111-1-22-22-1-1-1-1-211111-12i−2i1-12i−2i−2i2i−ii−iii−i−ii−iii−i000000−i3i3i3−i300000000003−33−30000
χ4422-2-222-12-22-2112-122-1-21-111-1-22-22-1-1-1-1-211111-12i−2i1-12i−2i−2i2i−ii−iii−i−ii−iii−i000000i3−i3−i3i30000000000−33−330000
χ4522-2-222-12-22-2112-122-1-21-111-1-22-22-1-1-1-1-211111-1−2i2i1-1−2i2i2i−2ii−ii−i−iii−ii−i−ii000000−i3i3i3−i30000000000−33−330000
χ4622-2-222-12-22-2112-122-1-21-111-1-22-22-1-1-1-1-211111-1−2i2i1-1−2i2i2i−2ii−ii−i−iii−ii−i−ii000000i3−i3−i3i300000000003−33−30000
χ4722-2-222-1-22-22112-1-2-2-1-21-111-1-222-211112-1-1-1-11-100-110000−i3i3−i3i3i3−i3i3−i3i3−i3−i3i32-20000-11-110000000000−i3i3i3−i30000
χ4822-2-222-1-22-22112-1-2-2-1-21-111-1-222-211112-1-1-1-11-100-110000−i3i3−i3i3i3−i3i3−i3i3−i3−i3i3-2200001-11-10000000000i3−i3−i3i30000
χ4922-2-222-1-22-22112-1-2-2-1-21-111-1-222-211112-1-1-1-11-100-110000i3−i3i3−i3−i3i3−i3i3−i3i3i3−i32-20000-11-110000000000i3−i3−i3i30000
χ5022-2-222-1-22-22112-1-2-2-1-21-111-1-222-211112-1-1-1-11-100-110000i3−i3i3−i3−i3i3−i3i3−i3i3i3−i3-2200001-11-10000000000−i3i3i3−i30000
χ5122-2-22-122-22-2-2-2-12-1-1-11-2211-11-11-122-1-11-211-21-12i−2i1-1−iii−i2i−2i−iii−i2i−2i−iii−i0000000000003−3−33i3−i3−i3i300000000
χ5222-2-22-122-22-2-2-2-12-1-1-11-2211-11-11-122-1-11-211-21-12i−2i1-1−iii−i2i−2i−iii−i2i−2i−iii−i000000000000−333−3−i3i3i3−i300000000
χ5322-2-22-122-22-2-2-2-12-1-1-11-2211-11-11-122-1-11-211-21-1−2i2i1-1i−i−ii−2i2ii−i−ii−2i2ii−i−ii0000000000003−3−33−i3i3i3−i300000000
χ5422-2-22-122-22-2-2-2-12-1-1-11-2211-11-11-122-1-11-211-21-1−2i2i1-1i−i−ii−2i2ii−i−ii−2i2ii−i−ii000000000000−333−3i3−i3−i3i300000000
χ5544444-24-4-4-4-444-2422-2-244-2-2-2-2-222-4-4222-422-4-2-2002200000000000000000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-211-2-211-2114411-2-2-2-2-2-21111-2-211110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-211-2-211-211-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2221-2-2-2111-2-22222-1-122-1-121100-1-100002323−3−3−3−3−23−2333330000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2221-2-2-2111-2-22222-1-122-1-121100-1-10000−23−2333332323−3−3−3−30000000000000000000000000000
χ60444-4-44-24-4-44-2-24-244-2422-2-2-2-4-4-4-4-22-2-24-2-2-2222002200000000000000000000000000000000000000000000
χ61444-4-44-2-444-4-2-24-2-4-4-2422-2-2-2-4-4442-222-4222-22200-2-200000000000000000000000000000000000000000000
χ62444-4-4-24-444-444-2422-2-2-4-4-2-2-222-2-2-44222-42242200-2-200000000000000000000000000000000000000000000
χ63444-4-4-2-24-4-44-2-2-2-2-2-21-2221112222-2211-2-2112-1-100-1-1−2i3−2i32i32i300i3i3−i3−i300i3i3−i3−i30000000000000000000000000000
χ64444-4-4-2-24-4-44-2-2-2-2-2-21-2221112222-2211-2-2112-1-100-1-12i32i3−2i3−2i300−i3−i3i3i300−i3−i3i3i30000000000000000000000000000
χ65444-4-4-2-2-444-4-2-2-2-2221-22211122-2-22-2-1-122-1-1-2-1-100110000003i3i−3i−3i00−3i−3i3i3i0000000000000000000000000000
χ66444-4-4-2-2-444-4-2-2-2-2221-22211122-2-22-2-1-122-1-1-2-1-10011000000−3i−3i3i3i003i3i−3i−3i0000000000000000000000000000
χ6744-44-44-244-4-4224-244-2-4-2222-24-44-4-22-2-2-4222-2-2200-2200000000000000000000000000000000000000000000
χ6844-44-44-2-4-444224-2-4-4-2-4-2222-24-4-442-2224-2-2-22-22002-200000000000000000000000000000000000000000000
χ6944-44-4-24-4-444-4-4-2422-224-422-2-222-2-4422-24-2-2-4-22002-200000000000000000000000000000000000000000000
χ7044-44-4-2-244-4-422-2-2-2-212-22-1-11-22-22-221122-1-1-21-1001-123−2323−2300−33−3300−33−330000000000000000000000000000
χ7144-44-4-2-244-4-422-2-2-2-212-22-1-11-22-22-221122-1-1-21-1001-1−2323−2323003−33−3003−33−30000000000000000000000000000
χ7244-44-4-2-2-4-44422-2-22212-22-1-11-222-22-2-1-1-2-21121-100-110000003-33-300-33-330000000000000000000000000000
χ7344-44-4-2-2-4-44422-2-22212-22-1-11-222-22-2-1-1-2-21121-100-11000000-33-33003-33-30000000000000000000000000000
χ7444-4-44-24-44-44-4-4-2422-22-4422-22-2-22-4-422-24-2-242-200-2200000000000000000000000000000000000000000000
χ7544-4-44-2-24-44-422-2-2-2-2122-2-1-112-22-2-2-21122-1-12-114i−4i-11−2i2i2i−2i−2i2ii−i−ii−2i2ii−i−ii0000000000000000000000000000
χ7644-4-44-2-24-44-422-2-2-2-2122-2-1-112-22-2-2-21122-1-12-11−4i4i-112i−2i−2i2i2i−2i−iii−i2i−2i−iii−i0000000000000000000000000000
χ7744-4-44-2-2-44-4422-2-222122-2-1-112-2-2222-1-1-2-211-2-11001-10000−2i32i3i3−i3−i3i32i3−2i3−i3i3i3−i30000000000000000000000000000
χ7844-4-44-2-2-44-4422-2-222122-2-1-112-2-2222-1-1-2-211-2-11001-100002i3−2i3−i3i3i3−i3−2i32i3i3−i3−i3i30000000000000000000000000000
χ798-800088000000-8-800800000-8000000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000−4i34i3-8400-4000−4i34i34000000000000000000000000000000000000000000000000000000000000000
χ818-80008-400004i3−4i3-8400-40004i3−4i34000000000000000000000000000000000000000000000000000000000000000
χ828-8000-480000004-843−43-400000400000043−430000000000000000000000000000000000000000000000000000000
χ838-8000-480000004-8−4343-4000004000000−43430000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i34443−4320002i3−2i3-2000000−2323006i−6i000000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i344−434320002i3−2i3-200000023−2300−6i6i000000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i34443−432000−2i32i3-2000000−232300−6i6i000000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i344−43432000−2i32i3-200000023−23006i−6i000000000000000000000000000000000000000000000000000

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