Finite Group Databasebeta

← Group #11921071

Character table — Group #11921071

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222223344444444666666688888888888812121212121212121616161616161616161616161616161616167272727272727272
order12234461212226881224242424244661212333666121212121212688122424242466612121224242424242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111-1-11-1-1-1-111111111111111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111-1-11-1-1-1-111111111111111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-11-1-1111i−i-1ii−i−i1-1-111-1-1111111-1-1-1-1-1-11i−i-1ii−i−i111-1-1-1iiiiii−i−i−i−i−i−i1-11-1i−ii−i
χ61111-1-11-1-1111i−i-1ii−i−i1-1-111-1-1111111-1-1-1-1-1-11i−i-1ii−i−i111-1-1-1iiiiii−i−i−i−i−i−i-11-11−ii−ii
χ71111-1-11-1-1111−ii-1−i−iii1-1-111-1-1111111-1-1-1-1-1-11−ii-1−i−iii111-1-1-1−i−i−i−i−i−iiiiiii1-11-1−ii−ii
χ81111-1-11-1-1111−ii-1−i−iii1-1-111-1-1111111-1-1-1-1-1-11−ii-1−i−iii111-1-1-1−i−i−i−i−i−iiiiiii-11-11i−ii−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
χ10222222222222-2-22-2-2-2-22222222-1-1-1-1-1-1-1-1-1-1-1-12-2-22-2-2-2-2-1-1-1-1-1-111111111111100000000
χ112222-2-22-2-22222i−2i-22i2i−2i−2i2-2-222-2-2-1-1-1-1-1-111111122i−2i-22i2i−2i−2i-1-1-1111−i−i−i−i−i−iiiiiii00000000
χ122222-2-22-2-2222−2i2i-2−2i−2i2i2i2-2-222-2-2-1-1-1-1-1-11111112−2i2i-2−2i−2i2i2i-1-1-1111iiiiii−i−i−i−i−i−i00000000
χ13222-122-1-1-122-122-1-1-1-1-1222-1-1-1-12-1-12-1-122-1-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-100000000
χ14222-122-1-1-122-122-1-1-1-1-1222-1-1-1-1-12-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-12-1-1-122-1-1-1-122-1-100000000
χ15222-122-1-1-122-122-1-1-1-1-1222-1-1-1-1-1-12-1-12-1-1-1-122-122-1-1-1-1-1-1-12-1-12-1-1-1-122-1-1-1-12200000000
χ16222-122-1-1-122-1-2-2-11111222-1-1-1-12-1-12-1-122-1-1-1-1-1-2-2-111112-1-12-1-1-2-21111-2-2111100000000
χ17222-122-1-1-122-1-2-2-11111222-1-1-1-1-12-1-12-1-1-122-1-1-1-2-2-11111-12-1-12-111-2-21111-2-21100000000
χ18222-122-1-1-122-1-2-2-11111222-1-1-1-1-1-12-1-12-1-1-1-122-1-2-2-11111-1-12-1-121111-2-21111-2-200000000
χ19222-1-2-2-11122-12i−2i1−i−iii2-2-2-1-1112-1-12-1-1-2-21111-12i−2i1−i−iii2-1-1-2112i2i−i−i−i−i−2i−2iiiii00000000
χ20222-1-2-2-11122-12i−2i1−i−iii2-2-2-1-111-12-1-12-111-2-211-12i−2i1−i−iii-12-11-21−i−i2i2i−i−iii−2i−2iii00000000
χ21222-1-2-2-11122-12i−2i1−i−iii2-2-2-1-111-1-12-1-121111-2-2-12i−2i1−i−iii-1-1211-2−i−i−i−i2i2iiiii−2i−2i00000000
χ22222-1-2-2-11122-1−2i2i1ii−i−i2-2-2-1-1112-1-12-1-1-2-21111-1−2i2i1ii−i−i2-1-1-211−2i−2iiiii2i2i−i−i−i−i00000000
χ23222-1-2-2-11122-1−2i2i1ii−i−i2-2-2-1-111-12-1-12-111-2-211-1−2i2i1ii−i−i-12-11-21ii−2i−2iii−i−i2i2i−i−i00000000
χ24222-1-2-2-11122-1−2i2i1ii−i−i2-2-2-1-111-1-12-1-121111-2-2-1−2i2i1ii−i−i-1-1211-2iiii−2i−2i−i−i−i−i2i2i00000000
χ2522-222-222222-200-20000-22-22222222222222222-200-20000-2-2-2-2-2-200000000000000000000
χ2622-222-222222-200-20000-22-22222-1-1-1-1-1-1-1-1-1-1-1-1-200-20000111111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000
χ2722-222-222222-200-20000-22-22222-1-1-1-1-1-1-1-1-1-1-1-1-200-20000111111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000
χ2822-22-222-2-222-20020000-2-2222-2-2222222-2-2-2-2-2-2-20020000-2-2-222200000000000000000000
χ2922-22-222-2-222-20020000-2-2222-2-2-1-1-1-1-1-1111111-20020000111-1-1-13−33−33−3−33−33−3300000000
χ3022-22-222-2-222-20020000-2-2222-2-2-1-1-1-1-1-1111111-20020000111-1-1-1−33−33−333−33−33−300000000
χ3122-2-12-2-1-1-1221001−i3i3−i3i3-22-2-1-1-1-12-1-12-1-122-1-1-1-11001−i3i3−i3i3-211-21100−i3i3i3−i300−i3i3i3−i300000000
χ3222-2-12-2-1-1-1221001−i3i3−i3i3-22-2-1-1-1-1-12-1-12-1-1-122-1-11001−i3i3−i3i31-211-21i3−i300−i3i3i3−i300−i3i300000000
χ3322-2-12-2-1-1-1221001−i3i3−i3i3-22-2-1-1-1-1-1-12-1-12-1-1-1-1221001−i3i3−i3i311-211-2−i3i3i3−i300−i3i3i3−i30000000000
χ3422-2-12-2-1-1-1221001i3−i3i3−i3-22-2-1-1-1-12-1-12-1-122-1-1-1-11001i3−i3i3−i3-211-21100i3−i3−i3i300i3−i3−i3i300000000
χ3522-2-12-2-1-1-1221001i3−i3i3−i3-22-2-1-1-1-1-12-1-12-1-1-122-1-11001i3−i3i3−i31-211-21−i3i300i3−i3−i3i300i3−i300000000
χ3622-2-12-2-1-1-1221001i3−i3i3−i3-22-2-1-1-1-1-1-12-1-12-1-1-1-1221001i3−i3i3−i311-211-2i3−i3−i3i300i3−i3−i3i30000000000
χ3722-2-1-22-11122100-13−3−33-2-22-1-1112-1-12-1-1-2-21111100-13−3−33-2112-1-1003−3−3300−333−300000000
χ3822-2-1-22-11122100-13−3−33-2-22-1-111-12-1-12-111-2-211100-13−3−331-21-12-1−33003−33−300−3300000000
χ3922-2-1-22-11122100-13−3−33-2-22-1-111-1-12-1-121111-2-2100-13−3−3311-2-1-123−3−3300−333−30000000000
χ4022-2-1-22-11122100-1−333−3-2-22-1-1112-1-12-1-1-2-21111100-1−333−3-2112-1-100−333−3003−3−3300000000
χ4122-2-1-22-11122100-1−333−3-2-22-1-111-12-1-12-111-2-211100-1−333−31-21-12-13−300−33−33003−300000000
χ4222-2-1-22-11122100-1−333−3-2-22-1-111-1-12-1-121111-2-2100-1−333−311-2-1-12−333−3003−3−330000000000
χ43333333333-1-133333333-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-100000000000000000011-1-111-1-1
χ44333333333-1-133333333-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1000000000000000000-1-111-1-111
χ45333333333-1-13-3-33-3-3-3-3-1-1-1-1-1-1-1000000000000-111-1111100000000000000000011-1-1-1-111
χ46333333333-1-13-3-33-3-3-3-3-1-1-1-1-1-1-1000000000000-111-11111000000000000000000-1-11111-1-1
χ473333-3-33-3-3-1-133i−3i-33i3i−3i−3i-111-1-111000000000000-1−ii1−i−iii0000000000000000001-1-11i−i−ii
χ483333-3-33-3-3-1-133i−3i-33i3i−3i−3i-111-1-111000000000000-1−ii1−i−iii000000000000000000-111-1−iii−i
χ493333-3-33-3-3-1-13−3i3i-3−3i−3i3i3i-111-1-111000000000000-1i−i1ii−i−i0000000000000000001-1-11−iii−i
χ503333-3-33-3-3-1-13−3i3i-3−3i−3i3i3i-111-1-111000000000000-1i−i1ii−i−i000000000000000000-111-1i−i−ii
χ514-40400-4004-4000000000004-400444-4-4-40000000000000000000000000000000000000000
χ524-40400-4004-4000000000004-400-2-2-222223−2323−2323−230000000000000000000000000000000000
χ534-40400-4004-4000000000004-400-2-2-2222−2323−2323−23230000000000000000000000000000000000
χ544-40-200223−234-400000000000-2223−234-2-2-4220023−23−23230000000000000000000000000000000000
χ554-40-200223−234-400000000000-2223−23-24-22-42−23230023−230000000000000000000000000000000000
χ564-40-200223−234-400000000000-2223−23-2-2422-423−23−2323000000000000000000000000000000000000
χ574-40-2002−23234-400000000000-22−23234-2-2-42200−232323−230000000000000000000000000000000000
χ584-40-2002−23234-400000000000-22−2323-24-22-4223−2300−23230000000000000000000000000000000000
χ594-40-2002−23234-400000000000-22−2323-2-2422-4−232323−23000000000000000000000000000000000000
χ60666-366-3-3-3-2-2-366-3-3-3-3-3-2-2-211110000000000001-2-21111100000000000000000000000000
χ61666-366-3-3-3-2-2-3-6-6-33333-2-2-211110000000000001221-1-1-1-100000000000000000000000000
χ62666-3-6-6-333-2-2-36i−6i3−3i−3i3i3i-22211-1-10000000000001−2i2i-1ii−i−i00000000000000000000000000
χ63666-3-6-6-333-2-2-3−6i6i33i3i−3i−3i-22211-1-100000000000012i−2i-1−i−iii00000000000000000000000000
χ6466-666-6666-2-2-600-600002-22-2-2-2-20000000000002002000000000000000000000000000000
χ6566-66-666-6-6-2-2-6006000022-2-2-222000000000000200-2000000000000000000000000000000
χ6666-6-36-6-3-3-3-2-23003−3i33i3−3i33i32-221111000000000000-100-1i3−i3i3−i300000000000000000000000000
χ6766-6-36-6-3-3-3-2-230033i3−3i33i3−3i32-221111000000000000-100-1−i3i3−i3i300000000000000000000000000
χ6866-6-3-66-333-2-2300-333−33−333322-211-1-1000000000000-1001−333−300000000000000000000000000
χ6966-6-3-66-333-2-2300-3−333333−3322-211-1-1000000000000-10013−3−3300000000000000000000000000
χ7012-1201200-1200-4400000000000-44000000000000000000000000000000000000000000000000
χ7112-120-600663−63-44000000000002-2−23230000000000000000000000000000000000000000000000
χ7212-120-6006−6363-44000000000002-223−230000000000000000000000000000000000000000000000

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