Finite Group Databasebeta

← Group #11921085

Character table — Group #11921085

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444466668888888888881212121212121212121216161616161616161616161616161616161636363636727272727272
order1244234612126881224242424224433366612121212121266881212242424246661212122424242424242424242424244444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111-1-11-1-1-1-1111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ411111111111-1-11-1-1-1-1111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ511-1-1-1111-1-1-1i−i1ii−i−i1-11-1111111-1-1-1-1-1-11-1i−i1-1ii−i−i-1-1-1111iiiiii−i−i−i−i−i−i11-1-1i−ii−i1-1
χ611-1-1-1111-1-1-1i−i1ii−i−i1-11-1111111-1-1-1-1-1-11-1i−i1-1ii−i−i-1-1-1111iiiiii−i−i−i−i−i−i-1-111−ii−ii-11
χ711-1-1-1111-1-1-1−ii1−i−iii1-11-1111111-1-1-1-1-1-11-1−ii1-1−i−iii-1-1-1111−i−i−i−i−i−iiiiiii11-1-1−ii−ii1-1
χ811-1-1-1111-1-1-1−ii1−i−iii1-11-1111111-1-1-1-1-1-11-1−ii1-1−i−iii-1-1-1111−i−i−i−i−i−iiiiiii-1-111i−ii−i-11
χ92222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ1022222222222-2-22-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-2-2-2-1-1-1-1-1-11111111111110000000000
χ1122222-12-1-1-1-122-1-1-1-1-122222-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-10000000000
χ1222222-12-1-1-1-122-1-1-1-1-12222-12-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-12-1-12-1-1-122-1-1-1-122-1-10000000000
χ1322222-12-1-1-1-122-1-1-1-1-12222-1-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-12-1-12-1-1-1-122-1-1-1-1220000000000
χ1422222-12-1-1-1-1-2-2-1111122222-1-12-1-122-1-1-1-1-1-1-2-2-1-111112-1-12-1-1-2-21111-2-211110000000000
χ1522222-12-1-1-1-1-2-2-111112222-12-1-12-1-1-122-1-1-1-1-2-2-1-11111-12-1-12-111-2-21111-2-2110000000000
χ1622222-12-1-1-1-1-2-2-111112222-1-12-1-12-1-1-1-122-1-1-2-2-1-11111-1-12-1-121111-2-21111-2-20000000000
χ172222-22-2222-200-20000-222-2222222222222-22002-20000-2-2-2-2-2-20000000000000000000000
χ182222-22-2222-200-20000-222-2-1-1-1-1-1-1-1-1-1-1-1-1-22002-20000111111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000
χ192222-22-2222-200-20000-222-2-1-1-1-1-1-1-1-1-1-1-1-1-22002-20000111111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000
χ202222-2-1-2-1-1-11001−i3i3−i3i3-222-22-1-12-1-122-1-1-1-11-100-11−i3i3−i3i3-211-21100−i3i3i3−i300−i3i3i3−i30000000000
χ212222-2-1-2-1-1-11001−i3i3−i3i3-222-2-12-1-12-1-1-122-1-11-100-11−i3i3−i3i31-211-21i3−i300−i3i3i3−i300−i3i30000000000
χ222222-2-1-2-1-1-11001−i3i3−i3i3-222-2-1-12-1-12-1-1-1-1221-100-11−i3i3−i3i311-211-2−i3i3i3−i300−i3i3i3−i3000000000000
χ232222-2-1-2-1-1-11001i3−i3i3−i3-222-22-1-12-1-122-1-1-1-11-100-11i3−i3i3−i3-211-21100i3−i3−i3i300i3−i3−i3i30000000000
χ242222-2-1-2-1-1-11001i3−i3i3−i3-222-2-12-1-12-1-1-122-1-11-100-11i3−i3i3−i31-211-21−i3i300i3−i3−i3i300i3−i30000000000
χ252222-2-1-2-1-1-11001i3−i3i3−i3-222-2-1-12-1-12-1-1-1-1221-100-11i3−i3i3−i311-211-2i3−i3−i3i300i3−i3−i3i3000000000000
χ2622-2-222-22-2-2200-20000-2-222222222-2-2-2-2-2-2-2-200220000222-2-2-20000000000000000000000
χ2722-2-222-22-2-2200-20000-2-222-1-1-1-1-1-1111111-2-200220000-1-1-11113−33−33−3−33−33−330000000000
χ2822-2-222-22-2-2200-20000-2-222-1-1-1-1-1-1111111-2-200220000-1-1-1111−33−33−333−33−33−30000000000
χ2922-2-22-1-2-111-10013−3−33-2-2222-1-12-1-1-2-211111100-1-13−3−332-1-1-211003−3−3300−333−30000000000
χ3022-2-22-1-2-111-10013−3−33-2-222-12-1-12-111-2-2111100-1-13−3−33-12-11-21−33003−33−300−330000000000
χ3122-2-22-1-2-111-10013−3−33-2-222-1-12-1-121111-2-21100-1-13−3−33-1-1211-23−3−3300−333−3000000000000
χ3222-2-22-1-2-111-1001−333−3-2-2222-1-12-1-1-2-211111100-1-1−333−32-1-1-21100−333−3003−3−330000000000
χ3322-2-22-1-2-111-1001−333−3-2-222-12-1-12-111-2-2111100-1-1−333−3-12-11-213−300−33−33003−30000000000
χ3422-2-22-1-2-111-1001−333−3-2-222-1-12-1-121111-2-21100-1-1−333−3-1-1211-2−333−3003−3−33000000000000
χ3522-2-2-2222-2-2-22i−2i22i2i−2i−2i2-22-2-1-1-1-1-1-11111112-22i−2i2-22i2i−2i−2i111-1-1-1−i−i−i−i−i−iiiiiii0000000000
χ3622-2-2-2222-2-2-2−2i2i2−2i−2i2i2i2-22-2-1-1-1-1-1-11111112-2−2i2i2-2−2i−2i2i2i111-1-1-1iiiiii−i−i−i−i−i−i0000000000
χ3722-2-2-2-12-11112i−2i-1−i−iii2-22-22-1-12-1-1-2-21111-112i−2i-11−i−iii-2112-1-12i2i−i−i−i−i−2i−2iiiii0000000000
χ3822-2-2-2-12-11112i−2i-1−i−iii2-22-2-12-1-12-111-2-211-112i−2i-11−i−iii1-21-12-1−i−i2i2i−i−iii−2i−2iii0000000000
χ3922-2-2-2-12-11112i−2i-1−i−iii2-22-2-1-12-1-121111-2-2-112i−2i-11−i−iii11-2-1-12−i−i−i−i2i2iiiii−2i−2i0000000000
χ4022-2-2-2-12-1111−2i2i-1ii−i−i2-22-22-1-12-1-1-2-21111-11−2i2i-11ii−i−i-2112-1-1−2i−2iiiii2i2i−i−i−i−i0000000000
χ4122-2-2-2-12-1111−2i2i-1ii−i−i2-22-2-12-1-12-111-2-211-11−2i2i-11ii−i−i1-21-12-1ii−2i−2iii−i−i2i2i−i−i0000000000
χ4222-2-2-2-12-1111−2i2i-1ii−i−i2-22-2-1-12-1-121111-2-2-11−2i2i-11ii−i−i11-2-1-12iiii−2i−2i−i−i−i−i2i2i0000000000
χ43333333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1000000000000000000111111-1-1-1-1
χ44333333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1000000000000000000-1-1-1-1-1-11111
χ4533333333333-3-33-3-3-3-3-1-1-1-1000000000000-1-111-1-111110000000000000000001111-1-111-1-1
χ4633333333333-3-33-3-3-3-3-1-1-1-1000000000000-1-111-1-11111000000000000000000-1-1-1-111-1-111
χ4733-3-3-3333-3-3-33i−3i33i3i−3i−3i-11-11000000000000-11−ii-11−i−iii00000000000000000011-1-1i−i−ii-11
χ4833-3-3-3333-3-3-33i−3i33i3i−3i−3i-11-11000000000000-11−ii-11−i−iii000000000000000000-1-111−iii−i1-1
χ4933-3-3-3333-3-3-3−3i3i3−3i−3i3i3i-11-11000000000000-11i−i-11ii−i−i00000000000000000011-1-1−iii−i-11
χ5033-3-3-3333-3-3-3−3i3i3−3i−3i3i3i-11-11000000000000-11i−i-11ii−i−i000000000000000000-1-111i−i−ii1-1
χ514-44i−4i040-44i−4i000000000000-2-2-22222i−2i2i−2i2i−2i00000000000000000000000000002-22i−2i000000
χ524-44i−4i040-44i−4i000000000000-2-2-22222i−2i2i−2i2i−2i0000000000000000000000000000-22−2i2i000000
χ534-4−4i4i040-4−4i4i000000000000-2-2-2222−2i2i−2i2i−2i2i00000000000000000000000000002-2−2i2i000000
χ544-4−4i4i040-4−4i4i000000000000-2-2-2222−2i2i−2i2i−2i2i0000000000000000000000000000-222i−2i000000
χ5566666-36-3-3-3-366-3-3-3-3-3-2-2-2-200000000000011-2-21111110000000000000000000000000000
χ5666666-36-3-3-3-3-6-6-33333-2-2-2-2000000000000112211-1-1-1-10000000000000000000000000000
χ576666-66-6666-600-600002-2-220000000000002-200-2200000000000000000000000000000000
χ586666-6-3-6-3-3-33003−3i33i3−3i33i32-2-22000000000000-11001-1i3−i3i3−i30000000000000000000000000000
χ596666-6-3-6-3-3-330033i3−3i33i3−3i32-2-22000000000000-11001-1−i3i3−i3i30000000000000000000000000000
χ6066-6-666-66-6-6600-6000022-2-20000000000002200-2-200000000000000000000000000000000
χ6166-6-66-3-6-333-300333−33−333322-2-2000000000000-1-10011−333−30000000000000000000000000000
χ6266-6-66-3-6-333-3003−333333−3322-2-2000000000000-1-100113−3−330000000000000000000000000000
χ6366-6-6-6-36-33336i−6i-3−3i−3i3i3i-22-220000000000001-1−2i2i1-1ii−i−i0000000000000000000000000000
χ6466-6-6-6-36-3333−6i6i-33i3i−3i−3i-22-220000000000001-12i−2i1-1−i−iii0000000000000000000000000000
χ658-88i−8i080-88i−8i000000000000222-2-2-2−2i2i−2i2i−2i2i00000000000000000000000000000000000000
χ668-88i−8i0-404−4i4i00000000000022-4-2-24−2i2i−2i2i4i−4i00000000000000000000000000000000000000
χ678-88i−8i0-404−4i4i0000000000002-42-24-2−2i2i4i−4i−2i2i00000000000000000000000000000000000000
χ688-88i−8i0-404−4i4i000000000000-4224-2-24i−4i−2i2i−2i2i00000000000000000000000000000000000000
χ698-8−8i8i080-8−8i8i000000000000222-2-2-22i−2i2i−2i2i−2i00000000000000000000000000000000000000
χ708-8−8i8i0-4044i−4i00000000000022-4-2-242i−2i2i−2i−4i4i00000000000000000000000000000000000000
χ718-8−8i8i0-4044i−4i0000000000002-42-24-22i−2i−4i4i2i−2i00000000000000000000000000000000000000
χ728-8−8i8i0-4044i−4i000000000000-4224-2-2−4i4i2i−2i2i−2i00000000000000000000000000000000000000

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