Finite Group Databasebeta

← Group #11865326

Character table — Group #11865326

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444444444448888888812121212121212121212121218181818242424242424242424242424242424242424363672727272
order1244242334666666121212121212121266661212121222222244444422444466666612121212121212121212244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111-111-1-1-11111111111-1-1-1-11-1-1-11-111-1-11111-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111-111-1-1-11111111111-1-1-1-11-1-1-11-111-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-1-1-111
χ7111111-111-1-1-11111111111-1-1-1-11-1-1-11-1-1-11111-1-111111111-1-111-1-111-1-1-1-111-1-111-1-1-1-111
χ8111111-111-1-1-11111111111-1-1-1-11-1-1-11-1-1-111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-111-1-111-1-1
χ911-1-11-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1111-11-1-1-111-1-11-1111-11-111-1-1-1-11-11-1-111-11-1
χ1011-1-11-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-11-11-11111-1-1-11-1-11-11-1-1-111111-11-1-11-11-11
χ1111-1-11-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-11-11-1-111-1-11-111-11-1111-1-1-1-1-11-11-11-11-11
χ1211-1-11-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-11-111111-1-1-11-1-1-11-11-1-11111-11-11-111-11-1
χ1311-1-11-1-1111-1-11111-1-1-1-1-1-111-1-11-111-111-1-11111-1-11-1-111-1-1-11111-1-11-1-111-1-11-1-111-11-1-11
χ1411-1-11-1-1111-1-11111-1-1-1-1-1-111-1-11-111-111-1-11-1-11-1-111111-1-11-1-1-11-1-1111-1-1111-1-111-1-111-1
χ1511-1-11-1-1111-1-11111-1-1-1-1-1-111-1-11-111-11-111-111-111-1-1-111-1-1-1111-111-1-1-111-1-1-111-11-1-111-1
χ1611-1-11-1-1111-1-11111-1-1-1-1-1-111-1-11-111-11-111-1-1-1-111-11111-1-11-1-1-1-111-111-1-111-111-11-11-1-11
χ1722222222222222222222222222222222000000000000-2-2-2-2000000000000000000-2-20000
χ18222222-222-2-2-22222222222-2-2-2-22-2-2-22-2000000000000-2-2-2-2000000000000000000220000
χ192222-2-2022000-2-22222-2-2220000-2000-20002-20000-22002-22-20000002-200000000-22000000
χ202222-2-2022000-2-22222-2-2220000-2000-2000-2200002-2002-22-2000000-22000000002-2000000
χ212222-2-2022000-2-22222-2-2220000-2000-202-20000-220000-22-2200002-200000000-2200000000
χ222222-2-2022000-2-22222-2-2220000-2000-20-2200002-20000-22-220000-22000000002-200000000
χ2322-2-22-2222-2222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000-2-2220000000000000000002-20000
χ2422-2-22-2-2222-2-22222-2-2-2-2-2-222-2-22-222-22000000000000-2-222000000000000000000-220000
χ2522-2-2-22022000-2-222-2-222-2-20000-20002000220000-2-2002-2-220000002200000000-2-2000000
χ2622-2-2-22022000-2-222-2-222-2-20000-20002000-2-2000022002-2-22000000-2-20000000022000000
χ2722-2-2-22022000-2-222-2-222-2-20000-200020220000-2-20000-222-200002200000000-2-200000000
χ2822-2-2-22022000-2-222-2-222-2-20000-200020-2-20000220000-222-20000-2-2000000002200000000
χ2944444441-24-2-2111-21111-2-2-2-211-2-211-2-2000022000022000022-1-10000-1-1-1-1-1-10000000000
χ3044444441-24-2-2111-21111-2-2-2-211-2-211-2-20000-2-20000-2-20000-2-21100001111110000000000
χ314444444-21411-2-2-21-2-2-2-21111-2-211-2-21122220022220000000000-1-1-1-1000000-1-1-1-1000000
χ324444444-21411-2-2-21-2-2-2-21111-2-211-2-211-2-2-2-200-2-2-2-2000000000011110000001111000000
χ33444444-41-2-422111-21111-2-222-1-1-22-1-1-220000220000220000-2-2-1-100001111-1-10000000000
χ34444444-41-2-422111-21111-2-222-1-1-22-1-1-220000-2-20000-2-2000022110000-1-1-1-1110000000000
χ35444444-4-21-4-1-1-2-2-21-2-2-2-211-1-1221-1221-122-2-20022-2-20000000000-1-111000000-1-111000000
χ36444444-4-21-4-1-1-2-2-21-2-2-2-211-1-1221-1221-1-2-22200-2-222000000000011-1-100000011-1-1000000
χ374444-4-40-2103322-21-2-222113300-1-300-1-32-2-2200-222-20000000000-111-10000001-1-11000000
χ384444-4-40-2103322-21-2-222113300-1-300-1-3-222-2002-2-2200000000001-1-11000000-111-1000000
χ394444-4-40-210-3-322-21-2-22211-3-300-1300-132-22-200-22-220000000000-11-110000001-11-1000000
χ404444-4-40-210-3-322-21-2-22211-3-300-1300-13-22-22002-22-200000000001-11-1000000-11-11000000
χ4144-4-44-441-2-4-2-2111-2-1-1-1-1222211-2-2-1-1220000220000-2-200002-2-1-10000-1-111110000000000
χ4244-4-44-441-2-4-2-2111-2-1-1-1-1222211-2-2-1-1220000-2-20000220000-2211000011-1-1-1-10000000000
χ4344-4-44-44-21-411-2-2-212222-1-1-1-1-2-21122-1-12-22-2002-22-20000000000-11-11000000-11-11000000
χ4444-4-44-44-21-411-2-2-212222-1-1-1-1-2-21122-1-1-22-2200-22-2200000000001-11-10000001-11-1000000
χ4544-4-44-4-41-2422111-2-1-1-1-122-2-2-1-1-22112-20000220000-2-20000-22-1-1000011-1-1110000000000
χ4644-4-44-4-41-2422111-2-1-1-1-122-2-2-1-1-22112-20000-2-200002200002-2110000-1-111-1-10000000000
χ4744-4-44-4-4-214-1-1-2-2-212222-1-111221-1-2-2-112-2-22002-2-220000000000-111-1000000-111-1000000
χ4844-4-44-4-4-214-1-1-2-2-212222-1-111221-1-2-2-11-222-200-222-200000000001-1-110000001-1-11000000
χ4944-4-4-440-2103322-2122-2-2-1-1-3-300-1-3001322-2-200-2-2220000000000-1-11100000011-1-1000000
χ5044-4-4-440-2103322-2122-2-2-1-1-3-300-1-30013-2-2220022-2-2000000000011-1-1000000-1-111000000
χ5144-4-4-440-210-3-322-2122-2-2-1-13300-13001-3222200-2-2-2-20000000000-1-1-1-10000001111000000
χ5244-4-4-440-210-3-322-2122-2-2-1-13300-13001-3-2-2-2-200222200000000001111000000-1-1-1-1000000
χ534-44i−4i0001-20−2i32i33-3-12i−i3i−3i2i−2i23−23−i3i3003−30000002-200002i−2i0000001-10000−i3i33−3i−i0000000000
χ544-44i−4i0001-20−2i32i33-3-12i−i3i−3i2i−2i23−23−i3i3003−3000000-220000−2i2i000000-110000i3−i3−33−ii0000000000
χ554-44i−4i0001-202i3−2i33-3-12i−i3i−3i2i−2i−2323i3−i300−330000002-200002i−2i0000001-10000i3−i3−33i−i0000000000
χ564-44i−4i0001-202i3−2i33-3-12i−i3i−3i2i−2i−2323i3−i300−33000000-220000−2i2i000000-110000−i3i33−3−ii0000000000
χ574-44i−4i0004400000-4-44i−4i00−4i4i000000000000002-200002i−2i000000-2200000000−2i2i0000000000
χ584-44i−4i0004400000-4-44i−4i00−4i4i00000000000000-220000−2i2i0000002-2000000002i−2i0000000000
χ594-4−4i4i0001-20−2i32i33-3-12−ii−3i3i−2i2i−2323−i3i300−330000002-20000−2i2i0000001-10000−i3i3−33−ii0000000000
χ604-4−4i4i0001-20−2i32i33-3-12−ii−3i3i−2i2i−2323−i3i300−33000000-2200002i−2i000000-110000i3−i33−3i−i0000000000
χ614-4−4i4i0001-202i3−2i33-3-12−ii−3i3i−2i2i23−23i3−i3003−30000002-20000−2i2i0000001-10000i3−i33−3−ii0000000000
χ624-4−4i4i0001-202i3−2i33-3-12−ii−3i3i−2i2i23−23i3−i3003−3000000-2200002i−2i000000-110000−i3i3−33i−i0000000000
χ634-4−4i4i0004400000-4-4−4i4i004i−4i000000000000002-20000−2i2i000000-22000000002i−2i0000000000
χ644-4−4i4i0004400000-4-4−4i4i004i−4i00000000000000-2200002i−2i0000002-200000000−2i2i0000000000
χ658888-8-802-4000-2-22-422-2-2-4-400004000400000000000000000000000000000000000000000
χ6688-8-8-8802-4000-2-22-4-2-2224400004000-400000000000000000000000000000000000000000
χ678-88i−8i0002-4000-66-242i−2i−6i6i4i−4i00000000000000000000000000000000000000000000000000
χ688-88i−8i000-420−2i32i3004-2−4i4i00−2i2i23−232i3−2i300−2323000000000000000000000000000000000000000000
χ698-88i−8i000-4202i3−2i3004-2−4i4i00−2i2i−2323−2i32i30023−23000000000000000000000000000000000000000000
χ708-8−8i8i0002-4000-66-24−2i2i6i−6i−4i4i00000000000000000000000000000000000000000000000000
χ718-8−8i8i000-420−2i32i3004-24i−4i002i−2i−23232i3−2i30023−23000000000000000000000000000000000000000000
χ728-8−8i8i000-4202i3−2i3004-24i−4i002i−2i23−23−2i32i300−2323000000000000000000000000000000000000000000

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