Finite Group Databasebeta

← Group #11795049

Character table — Group #11795049

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order12222334444666612123666666661212121212121212121212668812122424242424242424242424242424242444444488121212121212121212121212242424248888
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000002i−2i0000000000002i2i−2i−2i0000
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000−2i2i000000000000−2i−2i2i2i0000
χ11222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002222000000-1-1-1-1-1-1-1-100000000
χ12222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000001111111100000000
χ13222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-1-2-2-2-21111111111110022-2-2000000-1-1-1-1111100000000
χ14222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-1-2-2-2-211111111111100-2-2220000001111-1-1-1-100000000
χ1522222-122222-1-12-122-1-1-12-1-1-12222-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-122000022-1-1-1-100000000-1-1-1-10000
χ1622222-122222-1-12-122-1-1-12-1-1-12222-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-2-211110000000011110000
χ1722222-122222-1-12-122-1-1-12-1-1-12222-1-1-1-12-1-1-1-1-1-1-2-2-1-11111-2-2-2-211111111220000-2-2-1-1-1-10000000011110000
χ1822222-122222-1-12-122-1-1-12-1-1-12222-1-1-1-12-1-1-1-1-1-1-2-2-1-11111-2-2-2-211111111-2-2000022111100000000-1-1-1-10000
χ1922222-12-2-2-2-2-1-12-1-2-2-1-1-12-1-1-122-2-21111-21111-1-1001133−3−300003333−3−3−3−30000002i−2i−i3−i3i3i300000000−i−iii0000
χ2022222-12-2-2-2-2-1-12-1-2-2-1-1-12-1-1-122-2-21111-21111-1-1001133−3−300003333−3−3−3−3000000−2i2ii3i3−i3−i300000000ii−i−i0000
χ2122222-12-2-2-2-2-1-12-1-2-2-1-1-12-1-1-122-2-21111-21111-1-10011−3−3330000−3−3−3−333330000002i−2ii3i3−i3−i300000000−i−iii0000
χ2222222-12-2-2-2-2-1-12-1-2-2-1-1-12-1-1-122-2-21111-21111-1-10011−3−3330000−3−3−3−33333000000−2i2i−i3−i3i3i300000000ii−i−i0000
χ23222-2-2222-2-222222222-2-22222-2-2-2-22-2222222-2-2-200-2-20000000000000000002i−2i000000002i2i−2i−2i000000000000
χ24222-2-2222-2-222222222-2-22222-2-2-2-22-2222222-2-2-200-2-2000000000000000000−2i2i00000000−2i−2i2i2i000000000000
χ25222-2-222-222-22222-2-22-2-22222-2-222-22-2-2-2-2-2-22-2-200220000000000000000000000000000000000000000002i−2i
χ26222-2-222-222-22222-2-22-2-22222-2-222-22-2-2-2-2-2-22-2-20022000000000000000000000000000000000000000000−2i2i
χ27222-2-22-12-2-2222-12-1-1-1-2-2-1-1-1-111112-2-1-1-12-1-1-21100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3002i−2i00000000−i−iii33−3−300000000
χ28222-2-22-12-2-2222-12-1-1-1-2-2-1-1-1-111112-2-1-1-12-1-1-21100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300−2i2i00000000ii−i−i−3−33300000000
χ29222-2-22-12-2-2222-12-1-1-1-2-2-1-1-1-111112-2-1-1-12-1-1-21100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3002i−2i00000000−i−iii−3−33300000000
χ30222-2-22-12-2-2222-12-1-1-1-2-2-1-1-1-111112-2-1-1-12-1-1-21100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300−2i2i00000000ii−i−i33−3−300000000
χ3122-22-22222-2-2-2-2222222-2-2-2-222-22-22-222-2-2-2-222-2002-2000000000000000000002i−2i00000000002i−2i2i−2i00000000
χ3222-22-22222-2-2-2-2222222-2-2-2-222-22-22-222-2-2-2-222-2002-200000000000000000000−2i2i0000000000−2i2i−2i2i00000000
χ3322-22-222-2-222-2-222-2-222-2-2-2-222-2-22-22-2-22222-22-200-2200000000000000000000000000000000000000002-200
χ3422-22-222-2-222-2-222-2-222-2-2-2-222-2-22-22-2-22222-22-200-220000000000000000000000000000000000000000-2200
χ3522-22-22-122-2-2-2-2-12-1-1-12-2111-1-11-112-2-1-11-2112-1100-1100003−33−33−33−33−33−300002i−2i000000−i3i3−i3i3−ii−ii00000000
χ3622-22-22-122-2-2-2-2-12-1-1-12-2111-1-11-112-2-1-11-2112-1100-1100003−33−33−33−33−33−30000−2i2i000000i3−i3i3−i3i−ii−i00000000
χ3722-22-22-122-2-2-2-2-12-1-1-12-2111-1-11-112-2-1-11-2112-1100-110000−33−33−33−33−33−3300002i−2i000000i3−i3i3−i3−ii−ii00000000
χ3822-22-22-122-2-2-2-2-12-1-1-12-2111-1-11-112-2-1-11-2112-1100-110000−33−33−33−33−33−330000−2i2i000000−i3i3−i3i3i−ii−i00000000
χ3922-2-22222-22-2-2-222222-22-2-2-22-22-222222-2-2-2-2-2-222i−2i-222i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000000
χ4022-2-22222-22-2-2-222222-22-2-2-22-22-222222-2-2-2-2-2-22−2i2i-22−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000
χ4122-2-2222-22-22-2-222-2-22-22-2-2-22-222-2-2-2-2-222222-22002-200000000000000002-20000002-22-20000000000000000
χ4222-2-2222-22-22-2-222-2-22-22-2-2-22-222-2-2-2-2-222222-22002-20000000000000000-22000000-22-220000000000000000
χ4322-2-222-12-22-2-2-2-12-1-1-1-22111-11-11-122-1-11-211-21-12i−2i1-12i−2i2i−2i−iii−i−iii−i−iii−i0000000000003−3−33i3−i3−i3i300000000
χ4422-2-222-12-22-2-2-2-12-1-1-1-22111-11-11-122-1-11-211-21-12i−2i1-12i−2i2i−2i−iii−i−iii−i−iii−i000000000000−333−3−i3i3i3−i300000000
χ4522-2-222-12-22-2-2-2-12-1-1-1-22111-11-11-122-1-11-211-21-1−2i2i1-1−2i2i−2i2ii−i−iii−i−iii−i−ii0000000000003−3−33−i3i3i3−i300000000
χ4622-2-222-12-22-2-2-2-12-1-1-1-22111-11-11-122-1-11-211-21-1−2i2i1-1−2i2i−2i2ii−i−iii−i−iii−i−ii000000000000−333−3i3−i3−i3i300000000
χ4722-2-22-122-22-2112-122-11-1-211-1-22-22-1-1-1-1-211111-12i−2i1-1−ii−ii2i−2i−2i2i−iii−i−iii−i00000000−i3i3i3−i3000000003−33−30000
χ4822-2-22-122-22-2112-122-11-1-211-1-22-22-1-1-1-1-211111-12i−2i1-1−ii−ii2i−2i−2i2i−iii−i−iii−i00000000i3−i3−i3i300000000−33−330000
χ4922-2-22-122-22-2112-122-11-1-211-1-22-22-1-1-1-1-211111-1−2i2i1-1i−ii−i−2i2i2i−2ii−i−iii−i−ii00000000−i3i3i3−i300000000−33−330000
χ5022-2-22-122-22-2112-122-11-1-211-1-22-22-1-1-1-1-211111-1−2i2i1-1i−ii−i−2i2i2i−2ii−i−iii−i−ii00000000i3−i3−i3i3000000003−33−30000
χ5122-2-22-12-22-22112-1-2-2-11-1-211-1-222-211112-1-1-1-11-100-11−i3i3i3−i30000−i3i3i3−i3i3−i3−i3i32-2000000-11-1100000000−i3i3i3−i30000
χ5222-2-22-12-22-22112-1-2-2-11-1-211-1-222-211112-1-1-1-11-100-11−i3i3i3−i30000−i3i3i3−i3i3−i3−i3i3-220000001-11-100000000i3−i3−i3i30000
χ5322-2-22-12-22-22112-1-2-2-11-1-211-1-222-211112-1-1-1-11-100-11i3−i3−i3i30000i3−i3−i3i3−i3i3i3−i32-2000000-11-1100000000i3−i3−i3i30000
χ5422-2-22-12-22-22112-1-2-2-11-1-211-1-222-211112-1-1-1-11-100-11i3−i3−i3i30000i3−i3−i3i3−i3i3i3−i3-220000001-11-100000000−i3i3i3−i30000
χ55444444-2-4-4-4-444-2422-244-2-2-2-2-2-222-4-4222-422-4-2-2002200000000000000000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-211-2-211-2114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-211-2-211-211-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2221-2-2-2111-2-22222-1-122-1-121100-1-12323−23−230000−3−3−3−333330000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2221-2-2-2111-2-22222-1-122-1-121100-1-1−23−23232300003333−3−3−3−30000000000000000000000000000
χ60444-4-44-2-444-444-2422-2-4-4-2-2-2-222-2-2-44222-42242200-2-200000000000000000000000000000000000000000000
χ61444-4-4-244-4-44-2-24-244-2224-2-2-2-4-4-4-4-22-2-24-2-2-2222002200000000000000000000000000000000000000000000
χ62444-4-4-24-444-4-2-24-2-4-4-2224-2-2-2-4-4442-222-4222-22200-2-200000000000000000000000000000000000000000000
χ63444-4-4-2-24-4-44-2-2-2-2-2-2122-21112222-2211-2-2112-1-100-1-10000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000
χ64444-4-4-2-24-4-44-2-2-2-2-2-2122-21112222-2211-2-2112-1-100-1-100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000
χ65444-4-4-2-2-444-4-2-2-2-222122-211122-2-22-2-1-122-1-1-2-1-10011000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000
χ66444-4-4-2-2-444-4-2-2-2-222122-211122-2-22-2-1-122-1-1-2-1-1001100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000
χ6744-44-44-2-4-444-4-4-2422-24-4222-2-222-2-4422-24-2-2-4-22002-200000000000000000000000000000000000000000000
χ6844-44-4-2444-4-4224-244-2-22-422-24-44-4-22-2-2-4222-2-2200-2200000000000000000000000000000000000000000000
χ6944-44-4-24-4-444224-2-4-4-2-22-422-24-4-442-2224-2-2-22-22002-200000000000000000000000000000000000000000000
χ7044-44-4-2-244-4-422-2-2-2-21-222-1-11-22-22-221122-1-1-21-1001-1000023−2323−23−33−33−33−330000000000000000000000000000
χ7144-44-4-2-244-4-422-2-2-2-21-222-1-11-22-22-221122-1-1-21-1001-10000−2323−23233−33−33−33−30000000000000000000000000000
χ7244-44-4-2-2-4-44422-2-2221-222-1-11-222-22-2-1-1-2-21121-100-11000000003-33-3-33-330000000000000000000000000000
χ7344-44-4-2-2-4-44422-2-2221-222-1-11-222-22-2-1-1-2-21121-100-1100000000-33-333-33-30000000000000000000000000000
χ7444-4-444-2-44-44-4-4-2422-2-44222-22-2-22-4-422-24-2-242-200-2200000000000000000000000000000000000000000000
χ7544-4-44-2-24-44-422-2-2-2-212-22-1-112-22-2-2-21122-1-12-114i−4i-11−2i2i−2i2i−2i2i2i−2ii−i−iii−i−ii0000000000000000000000000000
χ7644-4-44-2-24-44-422-2-2-2-212-22-1-112-22-2-2-21122-1-12-11−4i4i-112i−2i2i−2i2i−2i−2i2i−iii−i−iii−i0000000000000000000000000000
χ7744-4-44-2-2-44-4422-2-22212-22-1-112-2-2222-1-1-2-211-2-11001-1−2i32i32i3−2i30000i3−i3−i3i3−i3i3i3−i30000000000000000000000000000
χ7844-4-44-2-2-44-4422-2-22212-22-1-112-2-2222-1-1-2-211-2-11001-12i3−2i3−2i32i30000−i3i3i3−i3i3−i3−i3i30000000000000000000000000000
χ798-800088000000-8-800800000-8000000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000004-843−43-400000400000043−430000000000000000000000000000000000000000000000000000000
χ818-80008-40000004-8−4343-4000004000000−43430000000000000000000000000000000000000000000000000000000
χ828-8000-480000−4i34i3-8400-4000−4i34i34000000000000000000000000000000000000000000000000000000000000000
χ838-8000-4800004i3−4i3-8400-40004i3−4i34000000000000000000000000000000000000000000000000000000000000000
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).