Finite Group Databasebeta

← Group #11794611

Character table — Group #11794611

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order1222233444466661212366666666121212121212121212121266881212242424242424242424242424242424242266668888882424242424242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000002-222-2-20000000000000000000000
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000-22-2-2220000000000000000000000
χ11222222-12222-1-12-122-1222-1-1-1-1-122-1-1-1-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100002200000000-1-1-1-10000
χ12222222-12222-1-12-122-1222-1-1-1-1-122-1-1-1-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211110000-2-20000000011110000
χ13222222-12222-1-12-122-1222-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111122-1-1-1-10000-2-20000000011110000
χ14222222-12222-1-12-122-1222-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111-2-2111100002200000000-1-1-1-10000
χ15222222-1-2-2-2-2-1-12-1-2-2-1222-1-1-1-1-1-2-21111-21111-1-100110000333333−3−3−3−3−3−32-2-1-1110000000000000033−3−30000
χ16222222-1-2-2-2-2-1-12-1-2-2-1222-1-1-1-1-1-2-21111-21111-1-100110000333333−3−3−3−3−3−3-2211-1-100000000000000−3−3330000
χ17222222-1-2-2-2-2-1-12-1-2-2-1222-1-1-1-1-1-2-21111-21111-1-100110000−3−3−3−3−3−33333332-2-1-11100000000000000−3−3330000
χ18222222-1-2-2-2-2-1-12-1-2-2-1222-1-1-1-1-1-2-21111-21111-1-100110000−3−3−3−3−3−3333333-2211-1-10000000000000033−3−30000
χ1922222-12222222-12-1-1-1-1-1-122-1-1-1-1-122-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1000000222200-1-1-1-1-1-1-1-100000000
χ2022222-12222222-12-1-1-1-1-1-122-1-1-1-1-122-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1000000-2-2-2-2001111111100000000
χ2122222-12222222-12-1-1-1-1-1-122-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-11111-2-21111-2-2111100000022-2-200-1-1-1-1111100000000
χ2222222-12222222-12-1-1-1-1-1-122-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-11111-2-21111-2-21111000000-2-222001111-1-1-1-100000000
χ23222-2-22222-2-2-2-2222222-2-22-2-2-222-22222-2-2-2-2-22-2002-2000000000000000000000000002i−2i000000002i−2i2i−2i0000
χ24222-2-22222-2-2-2-2222222-2-22-2-2-222-22222-2-2-2-2-22-2002-200000000000000000000000000−2i2i00000000−2i2i−2i2i0000
χ25222-2-222-2-222-2-222-2-222-2-22-2-2-22-22-2-2-2-2222222-22-2-2222-2-22-222-2-22-222-2-20000000000000000000000000000
χ26222-2-222-2-222-2-222-2-222-2-22-2-2-22-22-2-2-2-2222222-2-22-22-2-222-22-2-222-22-2-2220000000000000000000000000000
χ27222-2-22-122-2-2112-122-12-2-2-1111-12-2-1-1-1-1-21111-1100-1100003−333−3−3−33−3−33300−i3i3−i3i300002i−2i00000000−ii−ii0000
χ28222-2-22-122-2-2112-122-12-2-2-1111-12-2-1-1-1-1-21111-1100-1100003−333−3−3−33−3−33300i3−i3i3−i30000−2i2i00000000i−ii−i0000
χ29222-2-22-122-2-2112-122-12-2-2-1111-12-2-1-1-1-1-21111-1100-110000−33−3−3333−333−3−300−i3i3−i3i30000−2i2i00000000i−ii−i0000
χ30222-2-22-122-2-2112-122-12-2-2-1111-12-2-1-1-1-1-21111-1100-110000−33−3−3333−333−3−300i3−i3i3−i300002i−2i00000000−ii−ii0000
χ31222-2-22-1-2-222112-1-2-2-12-2-2-1111-1-2211112-1-1-1-1-112-21-122-2-2-11-1-111-11-1-11100−i3i3i3−i300000000000000−i3i3i3−i30000
χ32222-2-22-1-2-222112-1-2-2-12-2-2-1111-1-2211112-1-1-1-1-112-21-122-2-2-11-1-111-11-1-11100i3−i3−i3i300000000000000i3−i3−i3i30000
χ33222-2-22-1-2-222112-1-2-2-12-2-2-1111-1-2211112-1-1-1-1-11-221-1-2-2221-111-1-11-111-1-100−i3i3i3−i300000000000000i3−i3−i3i30000
χ34222-2-22-1-2-222112-1-2-2-12-2-2-1111-1-2211112-1-1-1-1-11-221-1-2-2221-111-1-11-111-1-100i3−i3−i3i300000000000000−i3i3i3−i30000
χ35222-2-2-12-2-222-2-2-1211-1-1112-211-11-1-2-211-12-1-12-112-21-1-1-1112-2-1-1112-2-1-11100000000000033−3−333−3−300000000
χ36222-2-2-12-2-222-2-2-1211-1-1112-211-11-1-2-211-12-1-12-112-21-1-1-1112-2-1-1112-2-1-111000000000000−3−333−3−33300000000
χ37222-2-2-12-2-222-2-2-1211-1-1112-211-11-1-2-211-12-1-12-11-221-111-1-1-2211-1-1-2211-1-100000000000033−3−3−3−33300000000
χ38222-2-2-12-2-222-2-2-1211-1-1112-211-11-1-2-211-12-1-12-11-221-111-1-1-2211-1-1-2211-1-1000000000000−3−33333−3−300000000
χ3922-22-2222-22-2-2-222-2-22-22-2-22-2-222-22-2-2-22222-2-22002-20000000000000000000000002i−2i0000002i−2i2i−2i00000000
χ4022-22-2222-22-2-2-222-2-22-22-2-22-2-222-22-2-2-22222-2-22002-2000000000000000000000000−2i2i000000−2i2i−2i2i00000000
χ4122-22-222-22-22-2-222222-22-2-22-2-22-22-2222-2-2-2-22-2200-220000000000000000000000000000000000000000002-2
χ4222-22-222-22-22-2-222222-22-2-22-2-22-22-2222-2-2-2-22-2200-22000000000000000000000000000000000000000000-22
χ4322-22-2-122-22-2-2-2-1211-11-11-2211-1-112-211-12-1-1-21-100-11−i3i3−i3i300−i3i3−i3i300−i3i3−i3i3000000002i−2i003−33−3−ii−ii00000000
χ4422-22-2-122-22-2-2-2-1211-11-11-2211-1-112-211-12-1-1-21-100-11−i3i3−i3i300−i3i3−i3i300−i3i3−i3i300000000−2i2i00−33−33i−ii−i00000000
χ4522-22-2-122-22-2-2-2-1211-11-11-2211-1-112-211-12-1-1-21-100-11i3−i3i3−i300i3−i3i3−i300i3−i3i3−i3000000002i−2i00−33−33−ii−ii00000000
χ4622-22-2-122-22-2-2-2-1211-11-11-2211-1-112-211-12-1-1-21-100-11i3−i3i3−i300i3−i3i3−i300i3−i3i3−i300000000−2i2i003−33−3i−ii−i00000000
χ4722-2-22222-2-222222-2-22-2-22-2-2222222-2-2-2-2-2-2-22-2-2002200000000000000000000000000000000000000002i−2i00
χ4822-2-22222-2-222222-2-22-2-22-2-2222222-2-2-2-2-2-2-22-2-200220000000000000000000000000000000000000000−2i2i00
χ4922-2-2222-222-22222222-2-22-2-2222-2-2-22222222-2-2-200-2-200000000000000000000002-200002-2-22000000000000
χ5022-2-2222-222-22222222-2-22-2-2222-2-2-22222222-2-2-200-2-20000000000000000000000-220000-222-2000000000000
χ5122-2-22-12-222-222-12-1-1-111-1-2-2-1-1-111-22-1-1-12-1-1-2110011−i3i3i3−i300−i3i3i3−i300−i3i3i3−i30000002-20000-111-1−i3i3i3−i300000000
χ5222-2-22-12-222-222-12-1-1-111-1-2-2-1-1-111-22-1-1-12-1-1-2110011−i3i3i3−i300−i3i3i3−i300−i3i3i3−i3000000-2200001-1-11i3−i3−i3i300000000
χ5322-2-22-12-222-222-12-1-1-111-1-2-2-1-1-111-22-1-1-12-1-1-2110011i3−i3−i3i300i3−i3−i3i300i3−i3−i3i30000002-20000-111-1i3−i3−i3i300000000
χ5422-2-22-12-222-222-12-1-1-111-1-2-2-1-1-111-22-1-1-12-1-1-2110011i3−i3−i3i300i3−i3−i3i300i3−i3−i3i3000000-2200001-1-11−i3i3i3−i300000000
χ5544444-24-4-4-4-444-2422-2-2-2-244-2-2-222-4-4222-422-4-2-2002200000000000000000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-211-2-211-2114411-2-2-2-2-2-21111-2-211110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-211-2-211-211-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-21112222-1-122-1-121100-1-100002323−3−3−3−3−23−2333330000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-21112222-1-122-1-121100-1-10000−23−2333332323−3−3−3−30000000000000000000000000000
χ60444-4-4-2444-4-4-4-4-24-2-2-2-2224-422-2-2244-2-22-422-4-2200-2200000000000000000000000000000000000000000000
χ61444-4-4-2-244-4-422-2-2-2-21-222-22-1-11-22-2-21122-1-121-1001-1000023−23−3−333−232333−3−30000000000000000000000000000
χ62444-4-4-2-244-4-422-2-2-2-21-222-22-1-11-22-2-21122-1-121-1001-10000−232333−3−323−23−3−3330000000000000000000000000000
χ63444-4-4-2-2-4-44422-2-2221-222-22-1-112-222-1-1-2-211-21-14-4-11-2-222-2211-1-1-2211-1-10000000000000000000000000000
χ64444-4-4-2-2-4-44422-2-2221-222-22-1-112-222-1-1-2-211-21-1-44-1122-2-22-2-1-1112-2-1-1110000000000000000000000000000
χ6544-44-44-24-44-4224-2-4-4-2-44-42-222-24-4-22224-2-2-222-200-2200000000000000000000000000000000000000000000
χ6644-44-44-2-44-44224-244-2-44-42-222-2-442-2-2-2-4222-22-2002-200000000000000000000000000000000000000000000
χ6744-44-4-24-44-44-4-4-24-2-2-22-22-4422-22-2-44-2-22-42242-2002-200000000000000000000000000000000000000000000
χ6844-44-4-2-24-44-422-2-22212-222-2-1-11-22-22-1-1-2-2112-11001-1−2i32i3−2i32i300i3−i3i3−i300i3−i3i3−i30000000000000000000000000000
χ6944-44-4-2-24-44-422-2-22212-222-2-1-11-22-22-1-1-2-2112-11001-12i3−2i32i3−2i300−i3i3−i3i300−i3i3−i3i30000000000000000000000000000
χ7044-44-4-2-2-44-4422-2-2-2-212-222-2-1-112-22-21122-1-1-2-1100-110000003i−3i3i−3i00−3i3i−3i3i0000000000000000000000000000
χ7144-44-4-2-2-44-4422-2-2-2-212-222-2-1-112-22-21122-1-1-2-1100-11000000−3i3i−3i3i003i−3i3i−3i0000000000000000000000000000
χ7244-4-444-24-4-44-2-24-2-4-4-2-4-4422-2-2-244-2222-4222-22200-2-200000000000000000000000000000000000000000000
χ7344-4-444-2-444-4-2-24-244-2-4-4422-2-2-2-4-42-2-2-24-2-2-2222002200000000000000000000000000000000000000000000
χ7444-4-44-244-4-4444-2422-222-2-4-4-2-2-2-2-24-4222-42242200-2-200000000000000000000000000000000000000000000
χ7544-4-44-2-24-4-44-2-2-2-222122-222111-2-2-22-1-122-1-1-2-1-100110000003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000
χ7644-4-44-2-24-4-44-2-2-2-222122-222111-2-2-22-1-122-1-1-2-1-10011000000−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000
χ7744-4-44-2-2-444-4-2-2-2-2-2-2122-222111222-211-2-2112-1-100-1-1−2i32i32i3−2i300i3−i3−i3i300i3−i3−i3i30000000000000000000000000000
χ7844-4-44-2-2-444-4-2-2-2-2-2-2122-222111222-211-2-2112-1-100-1-12i3−2i3−2i32i300−i3i3i3−i300−i3i3i3−i30000000000000000000000000000
χ798-800088000000-8-80080000000-80000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000−4i34i3-8400-400000−4i34i340000000000000000000000000000000000000000000000000000000000000
χ818-80008-400004i3−4i3-8400-4000004i3−4i340000000000000000000000000000000000000000000000000000000000000
χ828-8000-480000004-843−43-400000004000043−430000000000000000000000000000000000000000000000000000000
χ838-8000-480000004-8−4343-4000000040000−43430000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i34443−432000002i3−2i3-20000−2323006i−6i000000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i344−43432000002i3−2i3-2000023−2300−6i6i000000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i34443−43200000−2i32i3-20000−232300−6i6i000000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i344−4343200000−2i32i3-2000023−23006i−6i000000000000000000000000000000000000000000000000000

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