Finite Group Databasebeta

← Group #11791858

Character table — Group #11791858

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222444444444444488888888881818181818182424242424242424242424242424242436363636363636363648484848
order12222244334666666666666121212121212121222224444444444121212121212121244444444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-11111-1-11-11-111-1-11111-1-1-1-1-11111-1-1-1-11-11-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-11111-1-11-11-1-1-111-1-1-1-11111-1-1-1-1-111111-11-1
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-11111-1-1-11-1111-1-11111-1-1-1-1-1-1-1-1-11111-11-11
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-11111-1-1-11-11-1-111-1-1-1-11111-11111-1-1-1-1-11-11
χ91111-1-11111-1111-1-111-1-11-1-111-1-111-1-111-1-1-1-11-1-11i−ii−iii−i−iii−i−i1ii−i−iii−i−i1-1-11
χ101111-1-11111-1111-1-111-1-11-1-111-1-111-1-111-1-1-1-11-1-11−ii−ii−i−iii−i−iii1−i−iii−i−iii1-1-11
χ111111-1-11111-1111-1-111-1-11-1-111-1-111-1-111-1-1-1-1-111-1i−ii−iii−i−iii−i−i1−i−iii−i−iii-111-1
χ121111-1-11111-1111-1-111-1-11-1-111-1-111-1-111-1-1-1-1-111-1−ii−ii−i−iii−i−iii1ii−i−iii−i−i-111-1
χ131111-1-1-1-1111111-1-111-1-11-1-1-1-111-1-11111-1-11111-1-1i−i−iiii−i−i−i−iii-1ii−i−i−i−iii11-1-1
χ141111-1-1-1-1111111-1-111-1-11-1-1-1-111-1-11111-1-11111-1-1−iii−i−i−iiiii−i−i-1−i−iiiii−i−i11-1-1
χ151111-1-1-1-1111111-1-111-1-11-1-1-1-111-1-11111-1-111-1-111i−i−iiii−i−i−i−iii-1−i−iiiii−i−i-1-111
χ161111-1-1-1-1111111-1-111-1-11-1-1-1-111-1-11111-1-111-1-111−iii−i−i−iiiii−i−i-1ii−i−i−i−iii-1-111
χ172222222222222222222222222222222-2-2-2-2-2-20000000000000000-2000000000000
χ18222222-2-222-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22200000000000000002000000000000
χ192222-2-22222-2222-2-222-2-22-2-222-2-222-2-2-2-222220000000000000000-2000000000000
χ202222-2-2-2-2222222-2-222-2-22-2-2-2-222-2-222-2-222-2-200000000000000002000000000000
χ2122-2-22-20022022-222-2-2-2-2-22-2000000002-22-2000000000000000000000002-22-20000
χ2222-2-22-20022022-222-2-2-2-2-22-2000000002-22-200000000000000000000000-22-220000
χ2322-2-22-20022022-222-2-2-2-2-22-200000000-22-2200000000000000000002-22-200000000
χ2422-2-22-20022022-222-2-2-2-2-22-200000000-22-220000000000000000000-22-2200000000
χ2522-2-2-220022022-2-2-2-2-222-2-22000000002-2-22000000000000000000000002i−2i−2i2i0000
χ2622-2-2-220022022-2-2-2-2-222-2-22000000002-2-2200000000000000000000000−2i2i2i−2i0000
χ2722-2-2-220022022-2-2-2-2-222-2-2200000000-222-200000000000000000002i−2i−2i2i00000000
χ2822-2-2-220022022-2-2-2-2-222-2-2200000000-222-20000000000000000000−2i2i2i−2i00000000
χ29444444441-241-21111-211-2-2-21111-2-2-2-200000000002222-1-1-1-1-1-1-1-10000000000000
χ30444444441-241-21111-211-2-2-21111-2-2-2-20000000000-2-2-2-2111111110000000000000
χ3144444444-214-21-2-2-2-21-2-2111-2-2-2-211110000002222000000000000000000000-1-1-1-1
χ3244444444-214-21-2-2-2-21-2-2111-2-2-2-21111000000-2-2-2-20000000000000000000001111
χ33444444-4-41-2-41-21111-211-2-2-2-1-1-1-12222000000000022-2-2-1-1-1-111110000000000000
χ34444444-4-41-2-41-21111-211-2-2-2-1-1-1-122220000000000-2-2221111-1-1-1-10000000000000
χ35444444-4-4-21-4-21-2-2-2-21-2-21112222-1-1-1-10000002-22-2000000000000000000000-11-11
χ36444444-4-4-21-4-21-2-2-2-21-2-21112222-1-1-1-1000000-22-220000000000000000000001-11-1
χ374444-4-4441-2-41-21-1-11-2-1-1-22211-1-1-2-22200000000002i−2i2i−2i−i−iii−i−iii0000000000000
χ384444-4-4441-2-41-21-1-11-2-1-1-22211-1-1-2-2220000000000−2i2i−2i2iii−i−iii−i−i0000000000000
χ394444-4-444-21-4-21-222-21221-1-1-2-22211-1-10000002-2-22000000000000000000000-111-1
χ404444-4-444-21-4-21-222-21221-1-1-2-22211-1-1000000-222-20000000000000000000001-1-11
χ414444-4-4-4-41-241-21-1-11-2-1-1-222-1-11122-2-200000000002i−2i−2i2i−i−iiiii−i−i0000000000000
χ424444-4-4-4-41-241-21-1-11-2-1-1-222-1-11122-2-20000000000−2i2i2i−2iii−i−i−i−iii0000000000000
χ434444-4-4-4-4-214-21-222-21221-1-122-2-2-1-11100000022-2-2000000000000000000000-1-111
χ444444-4-4-4-4-214-21-222-21221-1-122-2-2-1-111000000-2-22200000000000000000000011-1-1
χ454-44-4004i−4i1-20-1213-3-1-23-3200i−i3i−3i2i−2i0000000000000000−i3i3−i3i33−33−30000000000000
χ464-44-4004i−4i1-20-1213-3-1-23-3200i−i3i−3i2i−2i0000000000000000i3−i3i3−i3−33−330000000000000
χ474-44-4004i−4i1-20-121-33-1-2-33200i−i−3i3i2i−2i00000000000000003−3−33i3−i3−i3i30000000000000
χ484-44-4004i−4i1-20-121-33-1-2-33200i−i−3i3i2i−2i0000000000000000−333−3−i3i3i3−i30000000000000
χ494-44-4004i−4i440-4-4400-4400-4004i−4i00−4i4i0000000000000000000000000000000000000
χ504-44-400−4i4i1-20-1213-3-1-23-3200−ii−3i3i−2i2i0000000000000000−i3i3−i3i3−33−330000000000000
χ514-44-400−4i4i1-20-1213-3-1-23-3200−ii−3i3i−2i2i0000000000000000i3−i3i3−i33−33−30000000000000
χ524-44-400−4i4i1-20-121-33-1-2-33200−ii3i−3i−2i2i00000000000000003−3−33−i3i3i3−i30000000000000
χ534-44-400−4i4i1-20-121-33-1-2-33200−ii3i−3i−2i2i0000000000000000−333−3i3−i3−i3i30000000000000
χ544-44-400−4i4i440-4-4400-4400-400−4i4i004i−4i0000000000000000000000000000000000000
χ554-4-440000440-4-4-4004-4004000000000000004-400000000000000000000000000000
χ564-4-440000440-4-4-4004-400400000000000000-4400000000000000000000000000000
χ5788-8-88-8002-402-4-222-24-2-24-440000000000000000000000000000000000000000000
χ5888-8-88-800-420-424-4-44-244-22-20000000000000000000000000000000000000000000
χ5988-8-8-88002-402-4-2-2-2-242244-40000000000000000000000000000000000000000000
χ6088-8-8-8800-420-424444-2-4-4-2-220000000000000000000000000000000000000000000
χ618-88-8008i−8i-4204-2-4004200-200−4i4i00−2i2i0000000000000000000000000000000000000
χ628-88-800−8i8i-4204-2-4004200-2004i−4i002i−2i0000000000000000000000000000000000000
χ638-8-8800002-40-24-26-624-66-4000000000000000000000000000000000000000000000
χ648-8-8800002-40-24-2-66246-6-4000000000000000000000000000000000000000000000
χ658-8-880000-4204-2400-4-2002000000006-600000000000000000000000000000000000
χ668-8-880000-4204-2400-4-200200000000-6600000000000000000000000000000000000

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