Finite Group Databasebeta

← Group #11921112

Character table — Group #11921112

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size112222222444444446666888888888888121212121212121212121616161616161616161616161616161616167272727272727272
order12222366624666612124444333666666666246612121212121266666666666612121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111-1-111111-1-1-111-1-111-1-1111111111111-11-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1i−ii−ii−ii−i
χ6111-1-111111-1-1-111-1-111-1-1111111111111-11-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−ii−ii−ii
χ7111-1-11111-11-1-1-1-11111-1-11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−iii−i−ii
χ8111-1-11111-11-1-1-1-11111-1-11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−i−iii−i
χ9222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ10222222222-2-222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-1-1-1-1-1-111111111111100000000
χ1122222-1-1-1-122-1-1-1-1-1-122222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-100000000
χ1222222-1-1-1-122-1-1-1-1-1-12222-12-1-1-122-1-1-12-122-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-100000000
χ1322222-1-1-1-122-1-1-1-1-1-12222-1-12-1-1-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12200000000
χ1422222-1-1-1-1-2-2-1-1111122222-1-122-1-1-1-12-1-1-2-211-1-1-1-11122-1-1-1-1-2-21111-2-2111100000000
χ1522222-1-1-1-1-2-2-1-111112222-12-1-1-122-1-1-12-1-2-211-1-1-1-111-1-122-1-111-2-21111-2-21100000000
χ1622222-1-1-1-1-2-2-1-111112222-1-12-1-1-1-122-1-12-2-211-1-1-1-111-1-1-1-1221111-2-21111-2-200000000
χ17222-2-222222-2-2-222-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-22-2-222-2-222111111-1-1-1-1-1-111111100000000
χ18222-2-22222-22-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-12-22222-2-2-2-2111111111111-1-1-1-1-1-100000000
χ19222-2-2-1-1-1-12-211-1-11122-2-22-1-122-1-1-1-12-1-1-2211-1-111-1-1-2-2111122-1-1-1-1-2-2111100000000
χ20222-2-2-1-1-1-12-211-1-11122-2-2-12-1-1-122-1-1-12-1-2211-1-111-1-111-2-211-1-122-1-111-2-21100000000
χ21222-2-2-1-1-1-12-211-1-11122-2-2-1-12-1-1-1-122-1-12-2211-1-111-1-11111-2-2-1-1-1-1221111-2-200000000
χ22222-2-2-1-1-1-1-221111-1-122-2-22-1-122-1-1-1-12-1-12-2-1-1-1-11111-2-21111-2-2111122-1-1-1-100000000
χ23222-2-2-1-1-1-1-221111-1-122-2-2-12-1-1-122-1-1-12-12-2-1-1-1-1111111-2-21111-2-211-1-122-1-100000000
χ24222-2-2-1-1-1-1-221111-1-122-2-2-1-12-1-1-1-122-1-122-2-1-1-1-111111111-2-21111-2-2-1-1-1-12200000000
χ2522-22-22-2-22002-200002-22-2222-2-2-2-2-2-222200002-22-2002-22-22-200000000000000000000
χ2622-22-22-2-22002-200002-22-2-1-1-1111111-1-1-100002-22-200-11-11-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000
χ2722-22-22-2-22002-200002-22-2-1-1-1111111-1-1-100002-22-200-11-11-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000
χ2822-22-2-111-100-11−i3i3−i3i32-22-22-1-1-2-211112-1-100−i3i3-11-11−i3i32-2-11-1100−i3i3i3−i300−i3i3i3−i300000000
χ2922-22-2-111-100-11−i3i3−i3i32-22-2-12-111-2-211-12-100−i3i3-11-11−i3i3-112-2-11i3−i300−i3i3i3−i300−i3i300000000
χ3022-22-2-111-100-11−i3i3−i3i32-22-2-1-121111-2-2-1-1200−i3i3-11-11−i3i3-11-112-2−i3i3i3−i300−i3i3i3−i30000000000
χ3122-22-2-111-100-11i3−i3i3−i32-22-22-1-1-2-211112-1-100i3−i3-11-11i3−i32-2-11-1100i3−i3−i3i300i3−i3−i3i300000000
χ3222-22-2-111-100-11i3−i3i3−i32-22-2-12-111-2-211-12-100i3−i3-11-11i3−i3-112-2-11−i3i300i3−i3−i3i300i3−i300000000
χ3322-22-2-111-100-11i3−i3i3−i32-22-2-1-121111-2-2-1-1200i3−i3-11-11i3−i3-11-112-2i3−i3−i3i300i3−i3−i3i30000000000
χ3422-2-222-2-2200-2200002-2-22222-2-2-2-2-2-222200002-2-2200-22-22-2200000000000000000000
χ3522-2-222-2-2200-2200002-2-22-1-1-1111111-1-1-100002-2-22001-11-11-1−i3i3−i3i3−i3i3i3−i3i3−i3i3−i300000000
χ3622-2-222-2-2200-2200002-2-22-1-1-1111111-1-1-100002-2-22001-11-11-1i3−i3i3−i3i3−i3−i3i3−i3i3−i3i300000000
χ3722-2-22-111-1001-1−i3i3i3−i32-2-222-1-1-2-211112-1-100i3−i3-111-1−i3i3-221-11-100−i3i3i3−i300i3−i3−i3i300000000
χ3822-2-22-111-1001-1−i3i3i3−i32-2-22-12-111-2-211-12-100i3−i3-111-1−i3i31-1-221-1i3−i300−i3i3−i3i300i3−i300000000
χ3922-2-22-111-1001-1−i3i3i3−i32-2-22-1-121111-2-2-1-1200i3−i3-111-1−i3i31-11-1-22−i3i3i3−i300i3−i3−i3i30000000000
χ4022-2-22-111-1001-1i3−i3−i3i32-2-222-1-1-2-211112-1-100−i3i3-111-1i3−i3-221-11-100i3−i3−i3i300−i3i3i3−i300000000
χ4122-2-22-111-1001-1i3−i3−i3i32-2-22-12-111-2-211-12-100−i3i3-111-1i3−i31-1-221-1−i3i300i3−i3i3−i300−i3i300000000
χ4222-2-22-111-1001-1i3−i3−i3i32-2-22-1-121111-2-2-1-1200−i3i3-111-1i3−i31-11-1-22i3−i3−i3i300−i3i3i3−i30000000000
χ4333333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-10000000000000000001111-1-1-1-1
χ4433333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1000000000000000000-1-1-1-11111
χ45333333333-3-333-3-3-3-3-1-1-1-10000000000001111-1-1-1-11100000000000000000011-1-1-1-111
χ46333333333-3-333-3-3-3-3-1-1-1-10000000000001111-1-1-1-111000000000000000000-1-11111-1-1
χ47333-3-333333-3-3-333-3-3-1-1110000000000001-111-1-111-1-1000000000000000000i−ii−i−ii−ii
χ48333-3-333333-3-3-333-3-3-1-1110000000000001-111-1-111-1-1000000000000000000−ii−iii−ii−i
χ49333-3-33333-33-3-3-3-333-1-111000000000000-11-1-1-1-11111000000000000000000i−i−ii−iii−i
χ50333-3-33333-33-3-3-3-333-1-111000000000000-11-1-1-1-11111000000000000000000−iii−ii−i−ii
χ5166666-3-3-3-366-3-3-3-3-3-3-2-2-2-2000000000000-2-21111111100000000000000000000000000
χ5266666-3-3-3-3-6-6-3-33333-2-2-2-200000000000022-1-11111-1-100000000000000000000000000
χ53666-6-6-3-3-3-36-633-3-333-2-2220000000000002-2-1-111-1-11100000000000000000000000000
χ54666-6-6-3-3-3-3-663333-3-3-2-222000000000000-221111-1-1-1-100000000000000000000000000
χ5566-66-66-6-66006-60000-22-220000000000000000-22-220000000000000000000000000000
χ5666-66-6-333-300-33−3i33i3−3i33i3-22-2200000000000000i3−i31-11-1i3−i300000000000000000000000000
χ5766-66-6-333-300-333i3−3i33i3−3i3-22-2200000000000000−i3i31-11-1−i3i300000000000000000000000000
χ5866-6-666-6-6600-660000-222-20000000000000000-222-20000000000000000000000000000
χ5966-6-66-333-3003-3−3i33i33i3−3i3-222-200000000000000−i3i31-1-11i3−i300000000000000000000000000
χ6066-6-66-333-3003-33i3−3i3−3i33i3-222-200000000000000i3−i31-1-11−i3i300000000000000000000000000
χ618-8000800-8000000000000222−2i32i3−2i32i3−2i32i3-2-2-2000000000000000000000000000000000000
χ628-8000800-80000000000002222i3−2i32i3−2i32i3−2i3-2-2-2000000000000000000000000000000000000
χ638-8000800-8000000000000-4-4-4000000444000000000000000000000000000000000000
χ648-8000-4−4i34i3400000000000022-4−2i32i32i3−2i300-2-24000000000000000000000000000000000000
χ658-8000-4−4i34i340000000000002-422i3−2i300−2i32i3-24-2000000000000000000000000000000000000
χ668-8000-4−4i34i34000000000000-42200−2i32i32i3−2i34-2-2000000000000000000000000000000000000
χ678-8000-44i3−4i3400000000000022-42i3−2i3−2i32i300-2-24000000000000000000000000000000000000
χ688-8000-44i3−4i340000000000002-42−2i32i3002i3−2i3-24-2000000000000000000000000000000000000
χ698-8000-44i3−4i34000000000000-422002i3−2i3−2i32i34-2-2000000000000000000000000000000000000

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