Finite Group Databasebeta

← Group #11797962

Character table — Group #11797962

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11222222222224444444444444444444444888888888888888888888888881616161616161616161616161616161636363636727272727272
order122333344666666668812121212121212122424242424242424228816162424242448484848484848484848484848484848666666662424242424242424448824441616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ41111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ611111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ711111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ911-111111-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1i−ii−i1111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−ii−ii−i1-1i−i1-1
χ1011-111111-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1i−ii−i1111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−ii−ii-11−ii-11
χ1111-111111-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1−ii−ii1111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiiii−ii−i-11i−i-11
χ1211-111111-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1−ii−ii1111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii−ii−ii1-1−ii1-1
χ1311-111111-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii1111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−ii−ii−i1-1−ii-11
χ1411-111111-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii1111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i−ii−ii-11i−i1-1
χ1511-111111-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i1111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiiii−ii−i-11−ii1-1
χ1611-111111-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i1111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii−ii−ii1-1i−i-11
χ1722222222222222222-2-222222222-2-2-2-2-2-2-2-2000000-2-2-2-20000000000000000000000000000000022-2-2000000
χ1822222222222222222-2-222222222-2-2-2-2-2-2-2-2000000-2-2-2-200000000000000000000000000000000-2-222000000
χ192222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-12222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-10000000000
χ202222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-2-2-2-22-1-1-1-2-2111111-2-21111112-1-1-12-1-1-1-2111-21110000000000
χ212222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-1-2-222-2-22-1-1-1-2-2111111-2-2111111-2111-21112-1-1-12-1-1-10000000000
χ222222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111-2111-21110000000000
χ23222-12-1-122-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1222222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-10000000000
χ24222-12-1-122-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-122-2-2-2-2-12-1-111-2-2111111-2-21111-12-1-1-12-1-11-2111-2110000000000
χ25222-12-1-122-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-2-222-2-2-12-1-111-2-2111111-2-211111-2111-211-12-1-1-12-1-10000000000
χ26222-12-1-122-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-2-2-2-222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-11-2111-2111-2111-2110000000000
χ27222-1-12-122-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1222222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-10000000000
χ28222-1-12-122-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-122-2-2-2-2-1-12-11111-2-2111111-2-211-1-12-1-1-12-111-2111-210000000000
χ29222-1-12-122-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-2-222-2-2-1-12-11111-2-2111111-2-21111-2111-21-1-12-1-1-12-10000000000
χ30222-1-12-122-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-2-2-2-222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-111-2111-2111-2111-210000000000
χ31222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-120000000000
χ32222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-12222-2-2-2-2-1-1-12111111-2-2111111-2-2-1-1-12-1-1-12111-2111-20000000000
χ33222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-2-222-2-2-1-1-12111111-2-2111111-2-2111-2111-2-1-1-12-1-1-120000000000
χ34222-1-1-1222-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-2-2-2-222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111-2111-2111-2111-20000000000
χ3522-222222-22222-2-2-2-22-22222-2-2-2-222222222000000-2-2-2-2000000000000000000000000000000002i−2i−2i2i000000
χ3622-222222-22222-2-2-2-22-22222-2-2-2-222222222000000-2-2-2-200000000000000000000000000000000−2i2i2i−2i000000
χ3722-22-1-1-12-22-1-1-1-2111-222-1-1-1-2111-2-21111112-22i−2i2i−2i2-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii2-1-1-1-21112i−i−i−i−2iiii0000000000
χ3822-22-1-1-12-22-1-1-1-2111-222-1-1-1-2111-2-21111112-2−2i2i−2i2i2-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i2-1-1-1-2111−2iiii2i−i−i−i0000000000
χ3922-22-1-1-12-22-1-1-1-2111-222-1-1-1-2111-2-2111111-222i−2i−2i2i2-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i-21112-1-1-12i−i−i−i−2iiii0000000000
χ4022-22-1-1-12-22-1-1-1-2111-222-1-1-1-2111-2-2111111-22−2i2i2i−2i2-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii-21112-1-1-1−2iiii2i−i−i−i0000000000
χ4122-2-12-1-12-2-12-1-11-211-22-12-1-11-21111-2-211112-22i−2i2i−2i-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii-12-1-11-211−i2i−i−ii−2iii0000000000
χ4222-2-12-1-12-2-12-1-11-211-22-12-1-11-21111-2-211112-2−2i2i−2i2i-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i-12-1-11-211i−2iii−i2i−i−i0000000000
χ4322-2-12-1-12-2-12-1-11-211-22-12-1-11-21111-2-21111-222i−2i−2i2i-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i1-211-12-1-1−i2i−i−ii−2iii0000000000
χ4422-2-12-1-12-2-12-1-11-211-22-12-1-11-21111-2-21111-22−2i2i2i−2i-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii1-211-12-1-1i−2iii−i2i−i−i0000000000
χ4522-2-1-12-12-2-1-12-111-21-22-1-12-111-211111-2-2112-22i−2i2i−2i-1-12-1−i−i−i−i2i2i−i−iiiii−2i−2iii-1-12-111-21−i−i2i−iii−2ii0000000000
χ4622-2-1-12-12-2-1-12-111-21-22-1-12-111-211111-2-2112-2−2i2i−2i2i-1-12-1iiii−2i−2iii−i−i−i−i2i2i−i−i-1-12-111-21ii−2ii−i−i2i−i0000000000
χ4722-2-1-12-12-2-1-12-111-21-22-1-12-111-211111-2-211-222i−2i−2i2i-1-12-1iiii−2i−2iii−i−i−i−i2i2i−i−i11-21-1-12-1−i−i2i−iii−2ii0000000000
χ4822-2-1-12-12-2-1-12-111-21-22-1-12-111-211111-2-211-22−2i2i2i−2i-1-12-1−i−i−i−i2i2i−i−iiiii−2i−2iii11-21-1-12-1ii−2ii−i−i2i−i0000000000
χ4922-2-1-1-122-2-1-1-12111-2-22-1-1-12111-2111111-2-22-22i−2i2i−2i-1-1-12−i−i−i−i−i−i2i2iiiiiii−2i−2i-1-1-12111-2−i−i−i2iiii−2i0000000000
χ5022-2-1-1-122-2-1-1-12111-2-22-1-1-12111-2111111-2-22-2−2i2i−2i2i-1-1-12iiiiii−2i−2i−i−i−i−i−i−i2i2i-1-1-12111-2iii−2i−i−i−i2i0000000000
χ5122-2-1-1-122-2-1-1-12111-2-22-1-1-12111-2111111-2-2-222i−2i−2i2i-1-1-12iiiiii−2i−2i−i−i−i−i−i−i2i2i111-2-1-1-12−i−i−i2iiii−2i0000000000
χ5222-2-1-1-122-2-1-1-12111-2-22-1-1-12111-2111111-2-2-22−2i2i2i−2i-1-1-12−i−i−i−i−i−i2i2iiiiiii−2i−2i111-2-1-1-12iii−2i−i−i−i2i0000000000
χ534444444-4-44444444400-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000
χ544444-2-2-2444-2-2-24-2-2-2-4-44-2-2-24-2-2-2-4-4222222000000-4222000000000000000000000000000000000000000000
χ554444-2-2-2-4-44-2-2-24-2-2-200-4222-4222000000000000000000006−66−66−6006−66−66−600000000000000000000000000
χ564444-2-2-2-4-44-2-2-24-2-2-200-4222-422200000000000000000000−66−66−6600−66−66−6600000000000000000000000000
χ57444-24-2-244-24-2-2-24-2-2-4-4-24-2-2-24-2-222-4-422220000002-422000000000000000000000000000000000000000000
χ58444-24-2-2-4-4-24-2-2-24-2-2002-4222-4220000000000000000006−6006−6−666−6006−6−6600000000000000000000000000
χ59444-24-2-2-4-4-24-2-2-24-2-2002-4222-422000000000000000000−6600−666−6−6600−666−600000000000000000000000000
χ60444-2-24-244-2-24-2-2-24-2-4-4-2-24-2-2-24-22222-4-42200000022-42000000000000000000000000000000000000000000
χ61444-2-24-2-4-4-2-24-2-2-24-20022-4222-420000000000000000006−6−66006−66−6−66006−600000000000000000000000000
χ62444-2-24-2-4-4-2-24-2-2-24-20022-4222-42000000000000000000−666−600−66−666−600−6600000000000000000000000000
χ63444-2-2-2444-2-2-24-2-2-24-4-4-2-2-24-2-2-24222222-4-4000000222-4000000000000000000000000000000000000000000
χ64444-2-2-24-4-4-2-2-24-2-2-2400222-4222-40000000000000000006−66−6−66006−66−6−660000000000000000000000000000
χ65444-2-2-24-4-4-2-2-24-2-2-2400222-4222-4000000000000000000−66−666−600−66−666−60000000000000000000000000000
χ6644-44444-444444-4-4-4-400-4-4-4-44444000000000000000000000000000000000000000000000000000000000000
χ6744-44-2-2-24-44-2-2-2-42224-44-2-2-2-422244-2-2-2-2-2-2000000-4222000000000000000000000000000000000000000000
χ6844-44-2-2-2-444-2-2-2-422200-42224-2-2-200000000000000000000i6−i6i6−i6i6−i600−i6i6−i6i6−i6i600000000000000000000000000
χ6944-44-2-2-2-444-2-2-2-422200-42224-2-2-200000000000000000000−i6i6−i6i6−i6i600i6−i6i6−i6i6−i600000000000000000000000000
χ7044-4-24-2-24-4-24-2-22-4224-4-24-2-22-422-2-244-2-2-2-20000002-422000000000000000000000000000000000000000000
χ7144-4-24-2-2-44-24-2-22-422002-422-24-2-2000000000000000000i6−i600i6−i6−i6i6−i6i600−i6i6i6−i600000000000000000000000000
χ7244-4-24-2-2-44-24-2-22-422002-422-24-2-2000000000000000000−i6i600−i6i6i6−i6i6−i600i6−i6−i6i600000000000000000000000000
χ7344-4-2-24-24-4-2-24-222-424-4-2-24-222-42-2-2-2-244-2-200000022-42000000000000000000000000000000000000000000
χ7444-4-2-24-2-44-2-24-222-420022-42-2-24-2000000000000000000i6−i6−i6i600i6−i6−i6i6i6−i600−i6i600000000000000000000000000
χ7544-4-2-24-2-44-2-24-222-420022-42-2-24-2000000000000000000−i6i6i6−i600−i6i6i6−i6−i6i600i6−i600000000000000000000000000
χ7644-4-2-2-244-4-2-2-24222-44-4-2-2-24222-4-2-2-2-2-2-244000000222-4000000000000000000000000000000000000000000
χ7744-4-2-2-24-44-2-2-24222-400222-4-2-2-24000000000000000000i6−i6i6−i6−i6i600−i6i6−i6i6i6−i60000000000000000000000000000
χ7844-4-2-2-24-44-2-2-24222-400222-4-2-2-24000000000000000000−i6i6−i6i6i6−i600i6−i6i6−i6−i6i60000000000000000000000000000
χ798-80888800-8-8-8-800000000000000000000000000000000000000000000000000000000000000000000000000
χ808-808-4-4-400-844400000000000000002i6−2i62i6−2i62i6−2i60000000000000000000000000000000000000000000000000000
χ818-808-4-4-400-84440000000000000000−2i62i6−2i62i6−2i62i60000000000000000000000000000000000000000000000000000
χ828-80-48-4-4004-844000000000000002i6−2i6002i6−2i6−2i62i60000000000000000000000000000000000000000000000000000
χ838-80-48-4-4004-84400000000000000−2i62i600−2i62i62i6−2i60000000000000000000000000000000000000000000000000000
χ848-80-4-48-40044-84000000000000002i6−2i6−2i62i6002i6−2i60000000000000000000000000000000000000000000000000000
χ858-80-4-48-40044-8400000000000000−2i62i62i6−2i600−2i62i60000000000000000000000000000000000000000000000000000
χ868-80-4-4-4800444-8000000000000002i6−2i62i6−2i6−2i62i6000000000000000000000000000000000000000000000000000000
χ878-80-4-4-4800444-800000000000000−2i62i6−2i62i62i6−2i6000000000000000000000000000000000000000000000000000000

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