Finite Group Databasebeta

← Group #11921086

Character table — Group #11921086

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size112222222444444446666888888888888121212121212121212121616161616161616161616161616161616167272727272727272
order1223446121268812242424242244333666121212121212668812122424242466612121224242424242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111-1-11-1-1-1-1111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ41111111111-1-11-1-1-1-1111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ51111-1-11-1-11i−i-1ii−i−i-1-111111111-1-1-1-1-1-1-1-1i−i11ii−i−i111-1-1-1iiiiii−i−i−i−i−i−i1-1i−ii−i1-1
χ61111-1-11-1-11i−i-1ii−i−i-1-111111111-1-1-1-1-1-1-1-1i−i11ii−i−i111-1-1-1iiiiii−i−i−i−i−i−i-11−ii−ii-11
χ71111-1-11-1-11−ii-1−i−iii-1-111111111-1-1-1-1-1-1-1-1−ii11−i−iii111-1-1-1−i−i−i−i−i−iiiiiii1-1−ii−ii1-1
χ81111-1-11-1-11−ii-1−i−iii-1-111111111-1-1-1-1-1-1-1-1−ii11−i−iii111-1-1-1−i−i−i−i−i−iiiiiii-11i−ii−i-11
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
χ102222222222-2-22-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-2-2-2-1-1-1-1-1-111111111111100000000
χ112222-2-22-2-222i−2i-22i2i−2i−2i-2-222-1-1-1-1-1-1111111-2-22i−2i222i2i−2i−2i-1-1-1111−i−i−i−i−i−iiiiiii00000000
χ122222-2-22-2-22−2i2i-2−2i−2i2i2i-2-222-1-1-1-1-1-1111111-2-2−2i2i22−2i−2i2i2i-1-1-1111iiiiii−i−i−i−i−i−i00000000
χ13222-122-1-1-1-122-1-1-1-1-122222-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-100000000
χ14222-122-1-1-1-122-1-1-1-1-12222-12-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-12-1-12-1-1-122-1-1-1-122-1-100000000
χ15222-122-1-1-1-122-1-1-1-1-12222-1-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-12-1-12-1-1-1-122-1-1-1-12200000000
χ16222-122-1-1-1-1-2-2-1111122222-1-12-1-122-1-1-1-1-1-1-2-2-1-111112-1-12-1-1-2-21111-2-2111100000000
χ17222-122-1-1-1-1-2-2-111112222-12-1-12-1-1-122-1-1-1-1-2-2-1-11111-12-1-12-111-2-21111-2-21100000000
χ18222-122-1-1-1-1-2-2-111112222-1-12-1-12-1-1-1-122-1-1-2-2-1-11111-1-12-1-121111-2-21111-2-200000000
χ19222-1-2-2-111-12i−2i1−i−iii-2-2222-1-12-1-1-2-21111112i−2i-1-1−i−iii2-1-1-2112i2i−i−i−i−i−2i−2iiiii00000000
χ20222-1-2-2-111-12i−2i1−i−iii-2-222-12-1-12-111-2-211112i−2i-1-1−i−iii-12-11-21−i−i2i2i−i−iii−2i−2iii00000000
χ21222-1-2-2-111-12i−2i1−i−iii-2-222-1-12-1-121111-2-2112i−2i-1-1−i−iii-1-1211-2−i−i−i−i2i2iiiii−2i−2i00000000
χ22222-1-2-2-111-1−2i2i1ii−i−i-2-2222-1-12-1-1-2-2111111−2i2i-1-1ii−i−i2-1-1-211−2i−2iiiii2i2i−i−i−i−i00000000
χ23222-1-2-2-111-1−2i2i1ii−i−i-2-222-12-1-12-111-2-21111−2i2i-1-1ii−i−i-12-11-21ii−2i−2iii−i−i2i2i−i−i00000000
χ24222-1-2-2-111-1−2i2i1ii−i−i-2-222-1-12-1-121111-2-211−2i2i-1-1ii−i−i-1-1211-2iiii−2i−2i−i−i−i−i2i2i00000000
χ2522-222-2222-200-200002-2-222222222222222-2002-20000-2-2-2-2-2-200000000000000000000
χ2622-222-2222-200-200002-2-22-1-1-1-1-1-1-1-1-1-1-1-12-2002-20000111111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000
χ2722-222-2222-200-200002-2-22-1-1-1-1-1-1-1-1-1-1-1-12-2002-20000111111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000
χ2822-22-222-2-2-20020000-22-22222222-2-2-2-2-2-2-22002-20000-2-2-222200000000000000000000
χ2922-22-222-2-2-20020000-22-22-1-1-1-1-1-1111111-22002-20000111-1-1-13−33−33−3−33−33−3300000000
χ3022-22-222-2-2-20020000-22-22-1-1-1-1-1-1111111-22002-20000111-1-1-1−33−33−333−33−33−300000000
χ3122-2-12-2-1-1-11001−i3i3−i3i32-2-222-1-12-1-122-1-1-1-1-1100-11−i3i3−i3i3-211-21100−i3i3i3−i300−i3i3i3−i300000000
χ3222-2-12-2-1-1-11001−i3i3−i3i32-2-22-12-1-12-1-1-122-1-1-1100-11−i3i3−i3i31-211-21i3−i300−i3i3i3−i300−i3i300000000
χ3322-2-12-2-1-1-11001−i3i3−i3i32-2-22-1-12-1-12-1-1-1-122-1100-11−i3i3−i3i311-211-2−i3i3i3−i300−i3i3i3−i30000000000
χ3422-2-12-2-1-1-11001i3−i3i3−i32-2-222-1-12-1-122-1-1-1-1-1100-11i3−i3i3−i3-211-21100i3−i3−i3i300i3−i3−i3i300000000
χ3522-2-12-2-1-1-11001i3−i3i3−i32-2-22-12-1-12-1-1-122-1-1-1100-11i3−i3i3−i31-211-21−i3i300i3−i3−i3i300i3−i300000000
χ3622-2-12-2-1-1-11001i3−i3i3−i32-2-22-1-12-1-12-1-1-1-122-1100-11i3−i3i3−i311-211-2i3−i3−i3i300i3−i3−i3i30000000000
χ3722-2-1-22-111100-13−3−33-22-222-1-12-1-1-2-211111-100-113−3−33-2112-1-1003−3−3300−333−300000000
χ3822-2-1-22-111100-13−3−33-22-22-12-1-12-111-2-2111-100-113−3−331-21-12-1−33003−33−300−3300000000
χ3922-2-1-22-111100-13−3−33-22-22-1-12-1-121111-2-21-100-113−3−3311-2-1-123−3−3300−333−30000000000
χ4022-2-1-22-111100-1−333−3-22-222-1-12-1-1-2-211111-100-11−333−3-2112-1-100−333−3003−3−3300000000
χ4122-2-1-22-111100-1−333−3-22-22-12-1-12-111-2-2111-100-11−333−31-21-12-13−300−33−33003−300000000
χ4222-2-1-22-111100-1−333−3-22-22-1-12-1-121111-2-21-100-11−333−311-2-1-12−333−3003−3−330000000000
χ4333333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-100000000000000000011-1-111-1-1
χ4433333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1000000000000000000-1-111-1-111
χ453333333333-3-33-3-3-3-3-1-1-1-1000000000000-1-111-1-111110000000000000000001111-1-1-1-1
χ463333333333-3-33-3-3-3-3-1-1-1-1000000000000-1-111-1-11111000000000000000000-1-1-1-11111
χ473333-3-33-3-333i−3i-33i3i−3i−3i11-1-100000000000011−ii-1-1−i−iii0000000000000000001-1−iii−i-11
χ483333-3-33-3-333i−3i-33i3i−3i−3i11-1-100000000000011−ii-1-1−i−iii000000000000000000-11i−i−ii1-1
χ493333-3-33-3-33−3i3i-3−3i−3i3i3i11-1-100000000000011i−i-1-1ii−i−i0000000000000000001-1i−i−ii-11
χ503333-3-33-3-33−3i3i-3−3i−3i3i3i11-1-100000000000011i−i-1-1ii−i−i000000000000000000-11−iii−i1-1
χ51666-366-3-3-3-366-3-3-3-3-3-2-2-2-200000000000011-2-211111100000000000000000000000000
χ52666-366-3-3-3-3-6-6-33333-2-2-2-2000000000000112211-1-1-1-100000000000000000000000000
χ53666-3-6-6-333-36i−6i3−3i−3i3i3i22-2-2000000000000-1-1−2i2i11ii−i−i00000000000000000000000000
χ54666-3-6-6-333-3−6i6i33i3i−3i−3i22-2-2000000000000-1-12i−2i11−i−iii00000000000000000000000000
χ5566-666-6666-600-60000-222-2000000000000-2200-22000000000000000000000000000000
χ5666-66-666-6-6-600600002-22-20000000000002-200-22000000000000000000000000000000
χ5766-6-36-6-3-3-33003−3i33i3−3i33i3-222-20000000000001-1001-1i3−i3i3−i300000000000000000000000000
χ5866-6-36-6-3-3-330033i3−3i33i3−3i3-222-20000000000001-1001-1−i3i3−i3i300000000000000000000000000
χ5966-6-3-66-333300-333−33−33332-22-2000000000000-11001-1−333−300000000000000000000000000
χ6066-6-3-66-333300-3−333333−332-22-2000000000000-11001-13−3−3300000000000000000000000000
χ618-80800-800000000000000222-2-2-223−2323−2323−23000000000000000000000000000000000000
χ628-80800-800000000000000222-2-2-2−2323−2323−2323000000000000000000000000000000000000
χ638-80800-800000000000000-4-4-4444000000000000000000000000000000000000000000
χ648-80-400443−4300000000000022-4-2-24−232323−2300000000000000000000000000000000000000
χ658-80-400443−430000000000002-42-24-223−2300−2323000000000000000000000000000000000000
χ668-80-400443−43000000000000-4224-2-200−232323−23000000000000000000000000000000000000
χ678-80-4004−434300000000000022-4-2-2423−23−232300000000000000000000000000000000000000
χ688-80-4004−43430000000000002-42-24-2−23230023−23000000000000000000000000000000000000
χ698-80-4004−4343000000000000-4224-2-20023−23−2323000000000000000000000000000000000000

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