Finite Group Databasebeta

← Group #11793136

Character table — Group #11793136

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122222222336666663666666666666666666644666612121212121212121212121212121212244444446612121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ81111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1
χ92222222222-12-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-100000000-1-1-1-10000
χ102222222222-12-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011110000000011110000
χ112222222222-12-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-211111111111122-2-20000-1-1-1-10000000011110000
χ122222222222-12-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-2111111111111-2-2220000111100000000-1-1-1-10000
χ13222222222-12-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-100000000
χ14222222222-12-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200001111111100000000
χ15222222222-12-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-2-2-211111111000022-2-20000-1-1-1-1111100000000
χ16222222222-12-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-2-2-2111111110000-2-22200001111-1-1-1-100000000
χ1722222-2-2-2-2222222-2-22222-2-2-222-2-2222-2-2-2-2-2-20022-2-200000000000000002-200000022-2-20000000000000000
χ1822222-2-2-2-2222222-2-22222-2-2-222-2-2222-2-2-2-2-2-20022-2-20000000000000000-22000000-2-2220000000000000000
χ1922222-2-2-2-22-12-1-1-1-2-2-1222-2-2-2-1-111-1-1-111111100-1-111000033−3−33333−3−3−3−32-2000000-1-1110000000033−3−30000
χ2022222-2-2-2-22-12-1-1-1-2-2-1222-2-2-2-1-111-1-1-111111100-1-111000033−3−33333−3−3−3−3-2200000011-1-100000000−3−3330000
χ2122222-2-2-2-22-12-1-1-1-2-2-1222-2-2-2-1-111-1-1-111111100-1-1110000−3−333−3−3−3−333332-2000000-1-11100000000−3−3330000
χ2222222-2-2-2-22-12-1-1-1-2-2-1222-2-2-2-1-111-1-1-111111100-1-1110000−3−333−3−3−3−33333-2200000011-1-10000000033−3−30000
χ23222-2-222-2-2222-2-222222-2-22-2-22-2-2-22-2-2-2-222222-22-22-222-2-22-22-222-2-222-2-20000000000000000000000000000
χ24222-2-222-2-2222-2-222222-2-22-2-22-2-2-22-2-2-2-22222-222-22-2-2-222-22-22-2-222-2-2220000000000000000000000000000
χ25222-2-222-2-22-1211-122-12-2-22-2-2-1111-11111-1-1-1-12-2-11-1122-2-2-11-11-1-111-1-11100000000−i3i3−i3i300000000−i3i3−i3i30000
χ26222-2-222-2-22-1211-122-12-2-22-2-2-1111-11111-1-1-1-12-2-11-1122-2-2-11-11-1-111-1-11100000000i3−i3i3−i300000000i3−i3i3−i30000
χ27222-2-222-2-22-1211-122-12-2-22-2-2-1111-11111-1-1-1-1-22-11-11-2-2221-11-111-1-111-1-100000000−i3i3−i3i300000000i3−i3i3−i30000
χ28222-2-222-2-22-1211-122-12-2-22-2-2-1111-11111-1-1-1-1-22-11-11-2-2221-11-111-1-111-1-100000000i3−i3i3−i300000000−i3i3−i3i30000
χ29222-2-222-2-2-12-1-2-22-1-1-1-111-1112-2-2-2-111112-1-122-2-11-11-1-1112-22-2-1-111-1-111000000000000−i3−i3i3i3−i3−i3i3i300000000
χ30222-2-222-2-2-12-1-2-22-1-1-1-111-1112-2-2-2-111112-1-122-2-11-11-1-1112-22-2-1-111-1-111000000000000i3i3−i3−i3i3i3−i3−i300000000
χ31222-2-222-2-2-12-1-2-22-1-1-1-111-1112-2-2-2-111112-1-12-22-11-1111-1-1-22-2211-1-111-1-1000000000000−i3−i3i3i3i3i3−i3−i300000000
χ32222-2-222-2-2-12-1-2-22-1-1-1-111-1112-2-2-2-111112-1-12-22-11-1111-1-1-22-2211-1-111-1-1000000000000i3i3−i3−i3−i3−i3i3i300000000
χ33222-2-2-2-222222-2-22-2-222-2-2-2222-2222-2-222-2-2-2-2002-2-220000000000000000002i−2i00000000000000002i−2i−2i2i0000
χ34222-2-2-2-222222-2-22-2-222-2-2-2222-2222-2-222-2-2-2-2002-2-22000000000000000000−2i2i0000000000000000−2i2i2i−2i0000
χ35222-2-2-2-2222-1211-1-2-2-12-2-2-222-11-1-1-111-1-1111100-111-100003−3−3333−3−3−3−333002i−2i0000−i3i3i3−i300000000−iii−i0000
χ36222-2-2-2-2222-1211-1-2-2-12-2-2-222-11-1-1-111-1-1111100-111-100003−3−3333−3−3−3−33300−2i2i0000i3−i3−i3i300000000i−i−ii0000
χ37222-2-2-2-2222-1211-1-2-2-12-2-2-222-11-1-1-111-1-1111100-111-10000−333−3−3−33333−3−3002i−2i0000i3−i3−i3i300000000−iii−i0000
χ38222-2-2-2-2222-1211-1-2-2-12-2-2-222-11-1-1-111-1-1111100-111-10000−333−3−3−33333−3−300−2i2i0000−i3i3i3−i300000000i−i−ii0000
χ3922-22-22-22-2222222-2-22-22-222-2-2-22-2222-2-2-2-2-2200-2-2220000000000000000000000000000000000000000002i−2i
χ4022-22-22-22-2222222-2-22-22-222-2-2-22-2222-2-2-2-2-2200-2-222000000000000000000000000000000000000000000−2i2i
χ4122-22-2-22-22222222222-22-2-2-22-2-2-2222222222-200-2-2-2-200000000000000000000002-2000000002-22-200000000
χ4222-22-2-22-22222222222-22-2-2-22-2-2-2222222222-200-2-2-2-20000000000000000000000-2200000000-22-2200000000
χ4322-22-2-22-22-12-1222-1-1-11-1111-1-2-2-22-1-1-1-1-12-1-1-2001111−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i30000002-20000−i3i3−i3i3-11-1100000000
χ4422-22-2-22-22-12-1222-1-1-11-1111-1-2-2-22-1-1-1-1-12-1-1-2001111−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3000000-220000i3−i3i3−i31-11-100000000
χ4522-22-2-22-22-12-1222-1-1-11-1111-1-2-2-22-1-1-1-1-12-1-1-2001111i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i30000002-20000i3−i3i3−i3-11-1100000000
χ4622-22-2-22-22-12-1222-1-1-11-1111-1-2-2-22-1-1-1-1-12-1-1-2001111i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3000000-220000−i3i3−i3i31-11-100000000
χ4722-2-222-2-22222-2-22-2-22-2-222-22-22-222-2-222-2-2-2200-222-200000000000000000000000000000000000000002i−2i00
χ4822-2-222-2-22222-2-22-2-22-2-222-22-22-222-2-222-2-2-2200-222-20000000000000000000000000000000000000000−2i2i00
χ4922-2-22-222-2222-2-22222-2-22-22-2-222-22-2-2-2-2222-200-22-22000000000000000000002-20000002-2-22000000000000
χ5022-2-22-222-2222-2-22222-2-22-22-2-222-22-2-2-2-2222-200-22-2200000000000000000000-22000000-222-2000000000000
χ5122-2-22-222-2-12-1-2-22-1-1-111-11-11-222-2-111112-1-1-2001-11-1−i3i3i3−i30000−i3i3i3−i3−i3i3i3−i300002-2000000-111-1−i3i3i3−i300000000
χ5222-2-22-222-2-12-1-2-22-1-1-111-11-11-222-2-111112-1-1-2001-11-1−i3i3i3−i30000−i3i3i3−i3−i3i3i3−i30000-220000001-1-11i3−i3−i3i300000000
χ5322-2-22-222-2-12-1-2-22-1-1-111-11-11-222-2-111112-1-1-2001-11-1i3−i3−i3i30000i3−i3−i3i3i3−i3−i3i300002-2000000-111-1i3−i3−i3i300000000
χ5422-2-22-222-2-12-1-2-22-1-1-111-11-11-222-2-111112-1-1-2001-11-1i3−i3−i3i30000i3−i3−i3i3i3−i3−i3i30000-220000001-1-11−i3i3i3−i300000000
χ55444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-211111-211-2441111-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ56444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-211111-211-2-4-4111122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5744444-4-4-4-4-24-244422-2-2-2-222244-4-4-2-2-222-422-400-2-22200000000000000000000000000000000000000000000
χ5844444-4-4-4-4-2-2-2-2-2-2221-2-2-2222-2-222111-1-12-1-120011-1-100002323−23−23−3−3−3−333330000000000000000000000000000
χ5944444-4-4-4-4-2-2-2-2-2-2221-2-2-2222-2-222111-1-12-1-120011-1-10000−23−2323233333−3−3−3−30000000000000000000000000000
χ60444-4-444-4-4-2-2-222-2-2-21-222-222-22221-1-1-1-1-211-24-41-11-1-2-222-22-2211-1-111-1-10000000000000000000000000000
χ61444-4-444-4-4-2-2-222-2-2-21-222-222-22221-1-1-1-1-211-2-441-11-122-2-22-22-2-1-111-1-1110000000000000000000000000000
χ62444-4-4-4-444-24-2-4-4422-2-2222-2-24-444-222-2-2-422-400-222-200000000000000000000000000000000000000000000
χ63444-4-4-4-444-2-2-222-2221-2222-2-2-22-2-21-1-1112-1-12001-1-11000023−23−2323−3−33333−3−30000000000000000000000000000
χ64444-4-4-4-444-2-2-222-2221-2222-2-2-22-2-21-1-1112-1-12001-1-110000−232323−2333−3−3−3−3330000000000000000000000000000
χ6544-44-44-44-44-24-2-2-2-4-4-2-44-444-422-22-2-2-222222-20022-2-200000000000000000000000000000000000000000000
χ6644-44-44-44-4-24-244422-22-22-2-22-4-44-4-2-2-222-42240022-2-200000000000000000000000000000000000000000000
χ6744-44-44-44-4-2-2-2-2-2-22212-22-2-2222-22111-1-12-1-1-200-1-111000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000
χ6844-44-44-44-4-2-2-2-2-2-22212-22-2-2222-22111-1-12-1-1-200-1-11100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000
χ6944-44-4-44-444-24-2-2-244-2-44-4-4-44222-2-2-2-2-2-2-2-2-2200222200000000000000000000000000000000000000000000
χ7044-44-4-44-44-2-2-2-2-2-2-2-212-2222-2222-211111-211200-1-1-1-1−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i30000000000000000000000000000
χ7144-44-4-44-44-2-2-2-2-2-2-2-212-2222-2222-211111-211200-1-1-1-12i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i30000000000000000000000000000
χ7244-4-444-4-444-2422-2-4-4-2-4-444-442-22-2-222-2-2222-2002-2-2200000000000000000000000000000000000000000000
χ7344-4-444-4-44-24-2-4-4422-222-2-22-2-44-44-222-2-2-4224002-2-2200000000000000000000000000000000000000000000
χ7444-4-444-4-44-2-2-222-222122-2-22-22-22-21-1-1112-1-1-200-111-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000
χ7544-4-444-4-44-2-2-222-222122-2-22-22-22-21-1-1112-1-1-200-111-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000
χ7644-4-44-444-44-2422-244-2-4-44-44-42-2-22-22222-2-2-22002-22-200000000000000000000000000000000000000000000
χ7744-4-44-444-4-2-2-222-2-2-2122-22-222-2-221-1-1-1-1-211200-11-11−2i32i32i3−2i30000i3−i3−i3i3i3−i3−i3i30000000000000000000000000000
χ7844-4-44-444-4-2-2-222-2-2-2122-22-222-2-221-1-1-1-1-211200-11-112i3−2i3−2i32i30000−i3i3i3−i3−i3i3i3−i30000000000000000000000000000
χ798-8000000088-800-80080000000000-80000000000000000000000000000000000000000000000000000000000
χ808-800000008-4-8−4i34i3400-400000000004−4i34i300000000000000000000000000000000000000000000000000000000
χ818-800000008-4-84i3−4i3400-4000000000044i3−4i300000000000000000000000000000000000000000000000000000000
χ828-80000000-48400-8−4i34i3-40000000000400000−4i34i3000000000000000000000000000000000000000000000000000
χ838-80000000-48400-84i3−4i3-400000000004000004i3−4i3000000000000000000000000000000000000000000000000000
χ848-80000000-4-44−4i34i34−4i34i320000000000-22i3−2i36-602i3−2i3000000000000000000000000000000000000000000000000000
χ858-80000000-4-44−4i34i344i3−4i320000000000-22i3−2i3-660−2i32i3000000000000000000000000000000000000000000000000000
χ868-80000000-4-444i3−4i34−4i34i320000000000-2−2i32i3-6602i3−2i3000000000000000000000000000000000000000000000000000
χ878-80000000-4-444i3−4i344i3−4i320000000000-2−2i32i36-60−2i32i3000000000000000000000000000000000000000000000000000

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