Finite Group Databasebeta

← Group #11921005

Character table — Group #11921005

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222223344444444666666688888888888812121212121212121616161616161616161616161616161616167272727272727272
order12222366622446612121212222666633366666666644661212121266666612121212121212121212121224444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111-1-111-1-1-1-11111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111111-1-111-1-1-1-11111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111-1-111-1-111i−i1-1ii−i−i1-1-111-1-1111111-1-1-1-1-1-1i−i1-1ii−i−i111-1-1-1iiiiii−i−i−i−i−i−i1-1i−i1-1i−i
χ6111-1-111-1-111i−i1-1ii−i−i1-1-111-1-1111111-1-1-1-1-1-1i−i1-1ii−i−i111-1-1-1iiiiii−i−i−i−i−i−i-11−ii-11−ii
χ7111-1-111-1-111−ii1-1−i−iii1-1-111-1-1111111-1-1-1-1-1-1−ii1-1−i−iii111-1-1-1−i−i−i−i−i−iiiiiii1-1−ii1-1−ii
χ8111-1-111-1-111−ii1-1−i−iii1-1-111-1-1111111-1-1-1-1-1-1−ii1-1−i−iii111-1-1-1−i−i−i−i−i−iiiiiii-11i−i-11i−i
χ922222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222222-2-222-2-2-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-1-1-111111111111100000000
χ1122222-1-1-1-12222-1-1-1-1-1-1222-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-100000000
χ1222222-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-12-1-12-1-1-122-1-122-1-1-1-1-1-1-12-1-12-1-1-122-1-1-1-122-1-100000000
χ1322222-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-12-1-12-1-1-1-122-1-1-1-12200000000
χ1422222-1-1-1-122-2-2-1-11111222-1-1-1-12-1-12-1-122-1-1-1-1-2-2-1-111112-1-12-1-1-2-21111-2-2111100000000
χ1522222-1-1-1-122-2-2-1-11111222-1-1-1-1-12-1-12-1-1-122-1-1-2-2-1-11111-12-1-12-111-2-21111-2-21100000000
χ1622222-1-1-1-122-2-2-1-11111222-1-1-1-1-1-12-1-12-1-1-1-122-2-2-1-11111-1-12-1-121111-2-21111-2-200000000
χ17222-2-222-2-2222i−2i2-22i2i−2i−2i2-2-222-2-2-1-1-1-1-1-11111112i−2i2-22i2i−2i−2i-1-1-1111−i−i−i−i−i−iiiiiii00000000
χ18222-2-222-2-222−2i2i2-2−2i−2i2i2i2-2-222-2-2-1-1-1-1-1-1111111−2i2i2-2−2i−2i2i2i-1-1-1111iiiiii−i−i−i−i−i−i00000000
χ19222-2-2-1-111222i−2i-11−i−iii2-2-2-1-1112-1-12-1-1-2-211112i−2i-11−i−iii2-1-1-2112i2i−i−i−i−i−2i−2iiiii00000000
χ20222-2-2-1-111222i−2i-11−i−iii2-2-2-1-111-12-1-12-111-2-2112i−2i-11−i−iii-12-11-21−i−i2i2i−i−iii−2i−2iii00000000
χ21222-2-2-1-111222i−2i-11−i−iii2-2-2-1-111-1-12-1-121111-2-22i−2i-11−i−iii-1-1211-2−i−i−i−i2i2iiiii−2i−2i00000000
χ22222-2-2-1-11122−2i2i-11ii−i−i2-2-2-1-1112-1-12-1-1-2-21111−2i2i-11ii−i−i2-1-1-211−2i−2iiiii2i2i−i−i−i−i00000000
χ23222-2-2-1-11122−2i2i-11ii−i−i2-2-2-1-111-12-1-12-111-2-211−2i2i-11ii−i−i-12-11-21ii−2i−2iii−i−i2i2i−i−i00000000
χ24222-2-2-1-11122−2i2i-11ii−i−i2-2-2-1-111-1-12-1-121111-2-2−2i2i-11ii−i−i-1-1211-2iiii−2i−2i−i−i−i−i2i2i00000000
χ2522-22-222222200-2-20000-22-2222222222222222200-2-20000-2-2-2-2-2-200000000000000000000
χ2622-22-222222200-2-20000-22-22222-1-1-1-1-1-1-1-1-1-1-1-100-2-20000111111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000
χ2722-22-222222200-2-20000-22-22222-1-1-1-1-1-1-1-1-1-1-1-100-2-20000111111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000
χ2822-22-2-1-1-1-1220011−i3i3−i3i3-22-2-1-1-1-12-1-12-1-122-1-1-1-10011−i3i3−i3i3-211-21100−i3i3i3−i300−i3i3i3−i300000000
χ2922-22-2-1-1-1-1220011−i3i3−i3i3-22-2-1-1-1-1-12-1-12-1-1-122-1-10011−i3i3−i3i31-211-21i3−i300−i3i3i3−i300−i3i300000000
χ3022-22-2-1-1-1-1220011−i3i3−i3i3-22-2-1-1-1-1-1-12-1-12-1-1-1-1220011−i3i3−i3i311-211-2−i3i3i3−i300−i3i3i3−i30000000000
χ3122-22-2-1-1-1-1220011i3−i3i3−i3-22-2-1-1-1-12-1-12-1-122-1-1-1-10011i3−i3i3−i3-211-21100i3−i3−i3i300i3−i3−i3i300000000
χ3222-22-2-1-1-1-1220011i3−i3i3−i3-22-2-1-1-1-1-12-1-12-1-1-122-1-10011i3−i3i3−i31-211-21−i3i300i3−i3−i3i300i3−i300000000
χ3322-22-2-1-1-1-1220011i3−i3i3−i3-22-2-1-1-1-1-1-12-1-12-1-1-1-1220011i3−i3i3−i311-211-2i3−i3−i3i300i3−i3−i3i30000000000
χ3422-2-2222-2-22200-220000-2-2222-2-2222222-2-2-2-2-2-200-220000-2-2-222200000000000000000000
χ3522-2-2222-2-22200-220000-2-2222-2-2-1-1-1-1-1-111111100-220000111-1-1-13−33−33−3−33−33−3300000000
χ3622-2-2222-2-22200-220000-2-2222-2-2-1-1-1-1-1-111111100-220000111-1-1-1−33−33−333−33−33−300000000
χ3722-2-22-1-11122001-13−3−33-2-22-1-1112-1-12-1-1-2-21111001-13−3−33-2112-1-1003−3−3300−333−300000000
χ3822-2-22-1-11122001-13−3−33-2-22-1-111-12-1-12-111-2-211001-13−3−331-21-12-1−33003−33−300−3300000000
χ3922-2-22-1-11122001-13−3−33-2-22-1-111-1-12-1-121111-2-2001-13−3−3311-2-1-123−3−3300−333−30000000000
χ4022-2-22-1-11122001-1−333−3-2-22-1-1112-1-12-1-1-2-21111001-1−333−3-2112-1-100−333−3003−3−3300000000
χ4122-2-22-1-11122001-1−333−3-2-22-1-111-12-1-12-111-2-211001-1−333−31-21-12-13−300−33−33003−300000000
χ4222-2-22-1-11122001-1−333−3-2-22-1-111-1-12-1-121111-2-2001-1−333−311-2-1-12−333−3003−3−330000000000
χ43333333333-1-133333333-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-10000000000000000001111-1-1-1-1
χ44333333333-1-133333333-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1000000000000000000-1-1-1-11111
χ45333333333-1-1-3-333-3-3-3-3-1-1-1-1-1-1-100000000000011-1-1111100000000000000000011-1-1-1-111
χ46333333333-1-1-3-333-3-3-3-3-1-1-1-1-1-1-100000000000011-1-11111000000000000000000-1-11111-1-1
χ47333-3-333-3-3-1-13i−3i3-33i3i−3i−3i-111-1-111000000000000−ii-11−i−iii0000000000000000001-1i−i-11−ii
χ48333-3-333-3-3-1-13i−3i3-33i3i−3i−3i-111-1-111000000000000−ii-11−i−iii000000000000000000-11−ii1-1i−i
χ49333-3-333-3-3-1-1−3i3i3-3−3i−3i3i3i-111-1-111000000000000i−i-11ii−i−i0000000000000000001-1−ii-11i−i
χ50333-3-333-3-3-1-1−3i3i3-3−3i−3i3i3i-111-1-111000000000000i−i-11ii−i−i000000000000000000-11i−i1-1−ii
χ514-40004-4004-4000000000004-400444-4-4-40000000000000000000000000000000000000000
χ524-40004-4004-4000000000004-400-2-2-2222−2i32i3−2i32i3−2i32i30000000000000000000000000000000000
χ534-40004-4004-4000000000004-400-2-2-22222i3−2i32i3−2i32i3−2i30000000000000000000000000000000000
χ544-4000-22−2i32i34-400000000000-22−2i32i34-2-2-42200−2i32i32i3−2i30000000000000000000000000000000000
χ554-4000-22−2i32i34-400000000000-22−2i32i3-24-22-422i3−2i300−2i32i30000000000000000000000000000000000
χ564-4000-22−2i32i34-400000000000-22−2i32i3-2-2422-4−2i32i32i3−2i3000000000000000000000000000000000000
χ574-4000-222i3−2i34-400000000000-222i3−2i34-2-2-422002i3−2i3−2i32i30000000000000000000000000000000000
χ584-4000-222i3−2i34-400000000000-222i3−2i3-24-22-42−2i32i3002i3−2i30000000000000000000000000000000000
χ594-4000-222i3−2i34-400000000000-222i3−2i3-2-2422-42i3−2i3−2i32i3000000000000000000000000000000000000
χ6066666-3-3-3-3-2-266-3-3-3-3-3-3-2-2-21111000000000000-2-211111100000000000000000000000000
χ6166666-3-3-3-3-2-2-6-6-3-33333-2-2-211110000000000002211-1-1-1-100000000000000000000000000
χ62666-6-6-3-333-2-26i−6i-33−3i−3i3i3i-22211-1-1000000000000−2i2i1-1ii−i−i00000000000000000000000000
χ63666-6-6-3-333-2-2−6i6i-333i3i−3i−3i-22211-1-10000000000002i−2i1-1−i−iii00000000000000000000000000
χ6466-66-66666-2-200-6-600002-22-2-2-2-20000000000000022000000000000000000000000000000
χ6566-66-6-3-3-3-3-2-20033−3i33i3−3i33i32-22111100000000000000-1-1i3−i3i3−i300000000000000000000000000
χ6666-66-6-3-3-3-3-2-200333i3−3i33i3−3i32-22111100000000000000-1-1−i3i3−i3i300000000000000000000000000
χ6766-6-6666-6-6-2-200-66000022-2-2-222000000000000002-2000000000000000000000000000000
χ6866-6-66-3-333-2-2003-333−33−333322-211-1-100000000000000-11−333−300000000000000000000000000
χ6966-6-66-3-333-2-2003-3−333333−3322-211-1-100000000000000-113−3−3300000000000000000000000000
χ7012-1200012-1200-4400000000000-44000000000000000000000000000000000000000000000000
χ7112-12000-66−6i36i3-44000000000002-22i3−2i30000000000000000000000000000000000000000000000
χ7212-12000-666i3−6i3-44000000000002-2−2i32i30000000000000000000000000000000000000000000000

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