Finite Group Databasebeta

← Group #11795056

Character table — Group #11795056

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order12222334444666612123666666661212121212121212121212668812122424242424242424242424242424242444444488121212121212121212121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1
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
χ11222222-122222-1-1-122-122-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000
χ12222222-122222-1-1-122-122-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000
χ13222222-122222-1-1-122-122-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-1-2-2-1-1-2-2-2-211111111111122-2-200001111-1-1-1-1000000000000
χ14222222-122222-1-1-122-122-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111-2-2220000-1-1-1-11111000000000000
χ1522222-122222-1222-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000
χ1622222-122222-1222-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000
χ1722222-122222-1222-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-1-2-2-1-11111-2-2-2-211111111000022-2-200000000-1-1-1-111110000
χ1822222-122222-1222-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-1-2-2-1-11111-2-2-2-2111111110000-2-222000000001111-1-1-1-10000
χ1922222-12-2-2-2-2-122211-1-1-122-1-1-1-111-2-2-2111-211-1-1001133−3−300003333−3−3−3−30000002i−2i00000000−i3−i3i3i3−i−iii0000
χ2022222-12-2-2-2-2-122211-1-1-122-1-1-1-111-2-2-2111-211-1-1001133−3−300003333−3−3−3−3000000−2i2i00000000i3i3−i3−i3ii−i−i0000
χ2122222-12-2-2-2-2-122211-1-1-122-1-1-1-111-2-2-2111-211-1-10011−3−3330000−3−3−3−333330000002i−2i00000000i3i3−i3−i3−i−iii0000
χ2222222-12-2-2-2-2-122211-1-1-122-1-1-1-111-2-2-2111-211-1-10011−3−3330000−3−3−3−33333000000−2i2i00000000−i3−i3i3i3ii−i−i0000
χ23222-2-2222-2-222-2-22-2-222-22-2-2-22-22-22-2-2-2-222222-2002-2000000000000000000002i−2i00000000002i−2i2i−2i00000000
χ24222-2-2222-2-222-2-22-2-222-22-2-2-22-22-22-2-2-2-222222-2002-200000000000000000000−2i2i0000000000−2i2i−2i2i00000000
χ25222-2-222-222-22-2-222222-22-2-2-22-2-22-22222-2-2-2-22-22i−2i-222i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ26222-2-222-222-22-2-222222-22-2-2-22-2-22-22222-2-2-2-22-2−2i2i-22−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ27222-2-22-1-222-2211-122-12-2-1111-1-2-221-1-1-1-1-2111-112i−2i1-12i−2i2i−2i−i−iii−i−iii−i−iii0000000033−3−3−i3−i3i3i3000000000000
χ28222-2-22-1-222-2211-122-12-2-1111-1-2-221-1-1-1-1-2111-112i−2i1-12i−2i2i−2i−i−iii−i−iii−i−iii00000000−3−333i3i3−i3−i3000000000000
χ29222-2-22-1-222-2211-122-12-2-1111-1-2-221-1-1-1-1-2111-11−2i2i1-1−2i2i−2i2iii−i−iii−i−iii−i−i0000000033−3−3i3i3−i3−i3000000000000
χ30222-2-22-1-222-2211-122-12-2-1111-1-2-221-1-1-1-1-2111-11−2i2i1-1−2i2i−2i2iii−i−iii−i−iii−i−i00000000−3−333−i3−i3i3i3000000000000
χ31222-2-2-122-2-22-1-2-2211-1-112-211-11-112-2-211-12-1-1-1100-11−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i300002i−2i0000000000−ii−ii3−33−30000
χ32222-2-2-122-2-22-1-2-2211-1-112-211-11-112-2-211-12-1-1-1100-11−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i30000−2i2i0000000000i−ii−i−33−330000
χ33222-2-2-122-2-22-1-2-2211-1-112-211-11-112-2-211-12-1-1-1100-11i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i300002i−2i0000000000−ii−ii−33−330000
χ34222-2-2-122-2-22-1-2-2211-1-112-211-11-112-2-211-12-1-1-1100-11i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i30000−2i2i0000000000i−ii−i3−33−30000
χ35222-2-2-12-222-2-1-2-22-1-1-1-112-211-111-1-222-1-11-211-112i−2i1-1−ii−ii2i2i−2i−2i−i−iii−i−iii00000000000000003−3−33i3−i3−i3i30000
χ36222-2-2-12-222-2-1-2-22-1-1-1-112-211-111-1-222-1-11-211-112i−2i1-1−ii−ii2i2i−2i−2i−i−iii−i−iii0000000000000000−333−3−i3i3i3−i30000
χ37222-2-2-12-222-2-1-2-22-1-1-1-112-211-111-1-222-1-11-211-11−2i2i1-1i−ii−i−2i−2i2i2iii−i−iii−i−i00000000000000003−3−33−i3i3i3−i30000
χ38222-2-2-12-222-2-1-2-22-1-1-1-112-211-111-1-222-1-11-211-11−2i2i1-1i−ii−i−2i−2i2i2iii−i−iii−i−i0000000000000000−333−3i3−i3−i3i30000
χ3922-22-22222-2-22-2-22222-2-2-22-2-2222-222-222-2-2-2-2-22002-20000000000000000002i−2i00002i−2i2i−2i0000000000000000
χ4022-22-22222-2-22-2-22222-2-2-22-2-2222-222-222-2-2-2-2-22002-2000000000000000000−2i2i0000−2i2i−2i2i0000000000000000
χ4122-22-222-2-2222-2-22-2-22-2-2-22-2-222-22-2-22-2-22222-2200-2200000000000000000000000000000000000000002-200
χ4222-22-222-2-2222-2-22-2-22-2-2-22-2-222-22-2-22-2-22222-2200-220000000000000000000000000000000000000000-2200
χ4322-22-22-122-2-2211-122-1-2-21-111-122-2-1-11-1-1-21111-100-1100003−33−33−33−33−33−3002i−2i0000−ii−ii−i3i3−i3i3000000000000
χ4422-22-22-122-2-2211-122-1-2-21-111-122-2-1-11-1-1-21111-100-1100003−33−33−33−33−33−300−2i2i0000i−ii−ii3−i3i3−i3000000000000
χ4522-22-22-122-2-2211-122-1-2-21-111-122-2-1-11-1-1-21111-100-110000−33−33−33−33−33−33002i−2i0000−ii−iii3−i3i3−i3000000000000
χ4622-22-22-122-2-2211-122-1-2-21-111-122-2-1-11-1-1-21111-100-110000−33−33−33−33−33−3300−2i2i0000i−ii−i−i3i3−i3i3000000000000
χ4722-2-22222-22-22222-2-22-22-2-2222-2222-22-2-2-2-2-2-2-2-200220000000000000000000000000000000000000000002i−2i
χ4822-2-22222-22-22222-2-22-22-2-2222-2222-22-2-2-2-2-2-2-2-20022000000000000000000000000000000000000000000−2i2i
χ4922-2-2222-22-222222222-22-2-2222-2-2-2-22-2222222-2-200-2-200000000000000002-200000000002-2-22000000000000
χ5022-2-2222-22-222222222-22-2-2222-2-2-2-22-2222222-2-200-2-20000000000000000-220000000000-222-2000000000000
χ5122-2-222-1-22-222-1-1-122-1-2211-1-1-1-2-2-21-11-1-12-1-1-11100110000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i32-2000000−i3i3i3−i3-111-1000000000000
χ5222-2-222-1-22-222-1-1-122-1-2211-1-1-1-2-2-21-11-1-12-1-1-11100110000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3-22000000i3−i3−i3i31-1-11000000000000
χ5322-2-222-1-22-222-1-1-122-1-2211-1-1-1-2-2-21-11-1-12-1-1-11100110000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i32-2000000i3−i3−i3i3-111-1000000000000
χ5422-2-222-1-22-222-1-1-122-1-2211-1-1-1-2-2-21-11-1-12-1-1-11100110000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3-22000000−i3i3i3−i31-1-11000000000000
χ55444444-2-4-4-4-44-2-2-2-4-4-244-2-2-2-2-24-4-422222-4222-2-2002200000000000000000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-2-211114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-2-21111-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-222222-1-122-1-11100-1-12323−23−230000−3−3−3−333330000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-222222-1-122-1-11100-1-1−23−23232300003333−3−3−3−30000000000000000000000000000
χ60444-4-44-24-4-44422-2-4-4-24-4-2222-2-44-4-222224-2-2-2-2200-2200000000000000000000000000000000000000000000
χ61444-4-4-2-24-4-44-222-2221-22-22-1-112-22-222-1-1-2-2111-1001-1−2i32i32i3−2i30000i3i3−i3−i3−i3−i3i3i30000000000000000000000000000
χ62444-4-4-2-24-4-44-222-2221-22-22-1-112-22-222-1-1-2-2111-1001-12i3−2i3−2i32i30000−i3−i3i3i3i3i3−i3−i30000000000000000000000000000
χ63444-4-4-2-2-444-4-222-2-2-21-22-22-1-1122-22-2-21122-1-11-14i−4i-11−2i2i−2i2i−2i−2i2i2iii−i−iii−i−i0000000000000000000000000000
χ64444-4-4-2-2-444-4-222-2-2-21-22-22-1-1122-22-2-21122-1-11-1−4i4i-112i−2i2i−2i2i2i−2i−2i−i−iii−i−iii0000000000000000000000000000
χ6544-44-44-2-4-444422-2-4-4-2-4-42-222-24-4422-2224-2-2-22-2002-200000000000000000000000000000000000000000000
χ6644-44-4-2444-4-4-2-4-44-2-2-222-4422-2-2-2244-4-2-22-4222-200-2200000000000000000000000000000000000000000000
χ6744-44-4-24-4-444-2-4-4422-222-4422-2-22-2-4-4422-24-2-22-2002-200000000000000000000000000000000000000000000
χ6844-44-4-2-244-4-4-222-2-2-21222-2-1-11-2-22-2-221122-1-1-11001-1000023−2323−23−33−33−33−330000000000000000000000000000
χ6944-44-4-2-244-4-4-222-2-2-21222-2-1-11-2-22-2-221122-1-1-11001-10000−2323−23233−33−33−33−30000000000000000000000000000
χ7044-44-4-2-2-4-444-222-2221222-2-1-11-22-222-2-1-1-2-211-1100-11000000003-33-3-33-330000000000000000000000000000
χ7144-44-4-2-2-4-444-222-2221222-2-1-11-22-222-2-1-1-2-211-1100-1100000000-33-333-33-30000000000000000000000000000
χ7244-4-444-24-44-44-2-2-2-4-4-2-4422-2-2-2-444-22-222-42222200-2-200000000000000000000000000000000000000000000
χ7344-4-44-244-44-4-244422-22-2-4-4-2-2-22-2-24-44222-4222200-2-200000000000000000000000000000000000000000000
χ7444-4-44-24-44-44-2444-2-2-22-2-4-4-2-2-2222-44-4-2-2-24-2-222002200000000000000000000000000000000000000000000
χ7544-4-44-2-24-44-4-2-2-2-22212-2221112-2-2-22-2-1-122-1-1-1-10011000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000
χ7644-4-44-2-24-44-4-2-2-2-22212-2221112-2-2-22-2-1-122-1-1-1-1001100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000
χ7744-4-44-2-2-44-44-2-2-2-2-2-212-2221112222-2211-2-211-1-100-1-10000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i30000000000000000000000000000
χ7844-4-44-2-2-44-44-2-2-2-2-2-212-2221112222-2211-2-211-1-100-1-100002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i30000000000000000000000000000
χ798-8000880000-800-8008000000-800000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-8−4i34i3400-40000−4i34i3400000000000000000000000000000000000000000000000000000000000000
χ818-80008-40000-84i3−4i3400-400004i3−4i3400000000000000000000000000000000000000000000000000000000000000
χ828-8000-480000400-843−43-4000000400000043−43000000000000000000000000000000000000000000000000000000
χ838-8000-480000400-8−4343-40000004000000−4343000000000000000000000000000000000000000000000000000000
χ848-8000-4-400004−4i34i3443−43200002i3−2i3-2000000−2323006i−6i00000000000000000000000000000000000000000000000000
χ858-8000-4-400004−4i34i34−4343200002i3−2i3-200000023−2300−6i6i00000000000000000000000000000000000000000000000000
χ868-8000-4-4000044i3−4i3443−4320000−2i32i3-2000000−232300−6i6i00000000000000000000000000000000000000000000000000
χ878-8000-4-4000044i3−4i34−434320000−2i32i3-200000023−23006i−6i00000000000000000000000000000000000000000000000000

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