Finite Group Databasebeta

← Group #11775283

Character table — Group #11775283

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222444444444444488888888881818181818182424242424242424242424242424242436363636363636363648484848
order1222444433466666612121212121212121212121212122244442444888824242424242424244444444446121212
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
χ5111111-1-111-1111111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1ii−i−iiiii−i−i−i−i1iiii−i−i−i−i11-1-1
χ6111111-1-111-1111111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1−i−iii−i−i−i−iiiii1−i−i−i−iiiii11-1-1
χ7111111-1-111-1111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-111ii−i−iiiii−i−i−i−i1−i−i−i−iiiii-1-111
χ8111111-1-111-1111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-111−i−iii−i−i−i−iiiii1iiii−i−i−i−i-1-111
χ91111-1-11111-11111111111-1-1-1-1-1-111-1-111-1-1-1-11-11-11-11-111-1-111-1-1111-1-111-1-11-11-1
χ101111-1-11111-11111111111-1-1-1-1-1-111-1-111-1-1-1-11-11-1-11-11-1-111-1-1111-1-111-1-1111-11-1
χ111111-1-11111-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-11-111-11-111-1-111-1-11-1-111-1-111-11-11
χ121111-1-11111-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-11-11-11-11-1-111-1-111111-1-111-1-1-11-11
χ131111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-11i−i−iiii−i−i−i−iii1ii−i−i−i−iii1-1-11
χ141111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-11−iii−i−i−iiiii−i−i1−i−iiiii−i−i1-1-11
χ151111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-111-1i−i−iiii−i−i−i−iii1−i−iiiii−i−i-111-1
χ161111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-111-1−iii−i−i−iiiii−i−i1ii−i−i−i−iii-111-1
χ172222222222222222222222222222222-2-2-2-2-2-20000000000000000-2000000000000
χ18222222-2-222-2222222-2-2-2-222-2-222-2-2-2-222-2-2220000000000000000-2000000000000
χ192222-2-22222-22222222222-2-2-2-2-2-222-2-2-2-222220000000000000000-2000000000000
χ202222-2-2-2-2222222222-2-2-2-2-2-222-2-2-2-2222222-2-20000000000000000-2000000000000
χ2122-2-2002i−2i2202-2-22-2-22i2i−2i−2i0000002i−2i00002-22i−2i000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ2222-2-2002i−2i2202-2-22-2-22i2i−2i−2i0000002i−2i00002-22i−2i00000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ2322-2-2002i−2i2202-2-22-2-22i2i−2i−2i0000002i−2i0000-22−2i2i000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000
χ2422-2-2002i−2i2202-2-22-2-22i2i−2i−2i0000002i−2i0000-22−2i2i00000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000
χ2522-2-200−2i2i2202-2-22-2-2−2i−2i2i2i000000−2i2i00002-2−2i2i000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ2622-2-200−2i2i2202-2-22-2-2−2i−2i2i2i000000−2i2i00002-2−2i2i00000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ2722-2-200−2i2i2202-2-22-2-2−2i−2i2i2i000000−2i2i0000-222i−2i000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
χ2822-2-200−2i2i2202-2-22-2-2−2i−2i2i2i000000−2i2i0000-222i−2i00000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000
χ29444444441-24111-2-2-211111111-2-2-2-2-2-200000000002222-1-1-1-1-1-1-1-10000000000000
χ30444444441-24111-2-2-211111111-2-2-2-2-2-20000000000-2-2-2-2111111110000000000000
χ3144444444-214-2-2-2111-2-2-2-2-2-2-2-21111110000002222000000000000000000000-1-1-1-1
χ3244444444-214-2-2-2111-2-2-2-2-2-2-2-2111111000000-2-2-2-20000000000000000000001111
χ33444444-4-41-2-4111-2-2-2-1-1-1-111-1-1-2-2222200000000002i2i−2i−2i−i−i−i−iiiii0000000000000
χ34444444-4-41-2-4111-2-2-2-1-1-1-111-1-1-2-222220000000000−2i−2i2i2iiiii−i−i−i−i0000000000000
χ35444444-4-4-21-4-2-2-21112222-2-22211-1-1-1-100000022-2-2000000000000000000000-1-111
χ36444444-4-4-21-4-2-2-21112222-2-22211-1-1-1-1000000-2-22200000000000000000000011-1-1
χ374444-4-4441-2-4111-2-2-21111-1-1-1-122-2-22200000000002-22-2-1-111-1-1110000000000000
χ384444-4-4441-2-4111-2-2-21111-1-1-1-122-2-2220000000000-22-2211-1-111-1-10000000000000
χ394444-4-444-21-4-2-2-2111-2-2-2-22222-1-111-1-10000002-22-2000000000000000000000-11-11
χ404444-4-444-21-4-2-2-2111-2-2-2-22222-1-111-1-1000000-22-220000000000000000000001-11-1
χ414444-4-4-4-41-24111-2-2-2-1-1-1-1-1-1112222-2-200000000002i−2i−2i2i−i−iiiii−i−i0000000000000
χ424444-4-4-4-41-24111-2-2-2-1-1-1-1-1-1112222-2-20000000000−2i2i2i−2iii−i−i−i−iii0000000000000
χ434444-4-4-4-4-214-2-2-2111222222-2-2-1-1-1-1110000002-2-22000000000000000000000-111-1
χ444444-4-4-4-4-214-2-2-2111222222-2-2-1-1-1-111000000-222-20000000000000000000001-1-11
χ454-44-40000440-44-4-44-4000000000000004-4000000000000000000000000000000000
χ464-44-40000440-44-4-44-400000000000000-44000000000000000000000000000000000
χ474-4-444i−4i001-20-1-1122-23-33-3i−i3i−3i2i−2i000000000000000000−i3i33−3−i3i33−30000000000000
χ484-4-444i−4i001-20-1-1122-23-33-3i−i3i−3i2i−2i000000000000000000i3−i3−33i3−i3−330000000000000
χ494-4-444i−4i001-20-1-1122-2-33-33i−i−3i3i2i−2i0000000000000000003−3i3−i3−33−i3i30000000000000
χ504-4-444i−4i001-20-1-1122-2-33-33i−i−3i3i2i−2i000000000000000000−33−i3i33−3i3−i30000000000000
χ514-4-444i−4i00440-4-44-4-4400004i−4i00−4i4i000000000000000000000000000000000000000
χ524-4-44−4i4i001-20-1-1122-23-33-3−ii−3i3i−2i2i000000000000000000−i3i3−33−i3i3−330000000000000
χ534-4-44−4i4i001-20-1-1122-23-33-3−ii−3i3i−2i2i000000000000000000i3−i33−3i3−i33−30000000000000
χ544-4-44−4i4i001-20-1-1122-2-33-33−ii3i−3i−2i2i0000000000000000003−3−i3i3−33i3−i30000000000000
χ554-4-44−4i4i001-20-1-1122-2-33-33−ii3i−3i−2i2i000000000000000000−33i3−i33−3−i3i30000000000000
χ564-4-44−4i4i00440-4-44-4-440000−4i4i004i−4i000000000000000000000000000000000000000
χ5788-8-8008i−8i2-402-2-2-4442i2i−2i−2i000000−4i4i0000000000000000000000000000000000000
χ5888-8-8008i−8i-420-4442-2-2−4i−4i4i4i0000002i−2i0000000000000000000000000000000000000
χ5988-8-800−8i8i2-402-2-2-444−2i−2i2i2i0000004i−4i0000000000000000000000000000000000000
χ6088-8-800−8i8i-420-4442-2-24i4i−4i−4i000000−2i2i0000000000000000000000000000000000000
χ618-88-800002-40-22-24-446i−6i−6i6i000000000000000000000000000000000000000000000
χ628-88-800002-40-22-24-44−6i6i6i−6i000000000000000000000000000000000000000000000
χ638-88-80000-4204-44-22-20000000000006i−6i00000000000000000000000000000000000
χ648-88-80000-4204-44-22-2000000000000−6i6i00000000000000000000000000000000000
χ658-8-888i−8i00-42044-4-2-220000−4i4i00−2i2i000000000000000000000000000000000000000
χ668-8-88−8i8i00-42044-4-2-2200004i−4i002i−2i000000000000000000000000000000000000000

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