Finite Group Databasebeta

← Group #11872383

Character table — Group #11872383

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order1222443344666666121212121212121222444444666612124444224466121212121212121224888861288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ511111111-1-1111111-1-11111-1-111-1-111-1-11111-1-111111-11-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1111111-1-11111-1-111-1-111-1-11111-1-11111-11-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ711111111-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111-11-1111111-1-111-1-1-1-1-1-1-1-111
χ811111111-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-11-11-1-111-1-1-1-111-1-1111111-1-1
χ91111-1-1111-111111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1111-1-111111-1-1-1-1-1-11-111-1-1-111-1
χ101111-1-1111-111111111-1-1-1-1-1-11111-1-1-1-111111-1-1-111-111-1-1-11111-1-1-1-11-1-1-1111-1-11
χ111111-1-1111-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1111-1-1111-1-1-1-111111-1-1-111-11-11
χ121111-1-1111-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111-111-1-1-1-1-11111111-111-1-11-11-1
χ131111-1-111-11111111-1-1-1-1-1-11111-1-1-1-1111111-11-1-11111-1-111-1-1-1-1-1-111-1111-1-11-1-11
χ141111-1-111-11111111-1-1-1-1-1-11111-1-1-1-1111111-11-1-111-1-111-1-1-1-111-1-111-11-1-111-111-1
χ151111-1-111-11111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-11111-1-11111-1-111-1-1-11-1-1111-11-1
χ161111-1-111-11111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-1-111-1-1111111-1-1-1111-1-1-11-11
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-2222222-2-22222-2-2000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-2222-222222222-2-2-2-2-2-20000000000002-222-2-200000000000000-2200000000
χ202222-2-222-22222222-2-2-2-2-2-222000000000000-2222-2-2000000000000002-200000000
χ2122-2-22i−2i2200-22-22-2-2002i−2i2i−2i00002-2002i−2i0000002i−2i2-20000002-200002i−2i0000000000
χ2222-2-22i−2i2200-22-22-2-2002i−2i2i−2i0000-2200−2i2i0000002i−2i2-2000000-220000−2i2i0000000000
χ2322-2-22i−2i2200-22-22-2-2002i−2i2i−2i002-2002i−2i0022-2-200−2i2i-2200000000002i−2i000000000000
χ2422-2-22i−2i2200-22-22-2-2002i−2i2i−2i00-2200−2i2i00-2-22200−2i2i-220000000000−2i2i000000000000
χ2522-2-2−2i2i2200-22-22-2-200−2i2i−2i2i00002-200−2i2i000000−2i2i2-20000002-20000−2i2i0000000000
χ2622-2-2−2i2i2200-22-22-2-200−2i2i−2i2i0000-22002i−2i000000−2i2i2-2000000-2200002i−2i0000000000
χ2722-2-2−2i2i2200-22-22-2-200−2i2i−2i2i002-200−2i2i0022-2-2002i−2i-220000000000−2i2i000000000000
χ2822-2-2−2i2i2200-22-22-2-200−2i2i−2i2i00-22002i−2i00-2-222002i−2i-2200000000002i−2i000000000000
χ294444441-2441-2-21-2111-2-2111122222222-1-1-1-1-2-20000000000-1-100-1-1-1-10000000000
χ304444441-2441-2-21-2111-2-21111-2-2-2-2-2-2-2-21111-2-20000000000110011110000000000
χ314444441-2-4-41-2-21-21-1-1-2-211-1-122-2-222-2-2-1-1-1-12200000000001100-1-1110000000000
χ324444441-2-4-41-2-21-21-1-1-2-211-1-1-2-222-2-2221111220000000000-1-10011-1-10000000000
χ33444444-2144-211-21-2-2-211-2-2-2-20000000000001100002222-1-100-1-10000000000-1-100
χ34444444-2144-211-21-2-2-211-2-2-2-2000000000000110000-2-2-2-211001100000000001100
χ35444444-21-4-4-211-21-22211-2-222000000000000-1-100002-22-2-1-100-1-100000000001100
χ36444444-21-4-4-211-21-22211-2-222000000000000-1-10000-22-221100110000000000-1-100
χ374444-4-41-24-41-2-21-211122-1-1-1-12222-2-2-2-2-1-1-1-1-220000000000-1-10011110000000000
χ384444-4-41-24-41-2-21-211122-1-1-1-1-2-2-2-222221111-2200000000001100-1-1-1-10000000000
χ394444-4-41-2-441-2-21-21-1-122-1-11122-2-2-2-222-1-1-1-12-20000000000110011-1-10000000000
χ404444-4-41-2-441-2-21-21-1-122-1-111-2-22222-2-211112-20000000000-1-100-1-1110000000000
χ414444-4-4-214-4-211-21-2-2-2-1-122220000000000001-100002-2-22-1-1001100000000001-100
χ424444-4-4-214-4-211-21-2-2-2-1-122220000000000001-10000-222-21100-1-10000000000-1100
χ434444-4-4-21-44-211-21-222-1-122-2-2000000000000-11000022-2-2-1-100110000000000-1100
χ444444-4-4-21-44-211-21-222-1-122-2-2000000000000-110000-2-2221100-1-100000000001-100
χ4544-4-44i−4i1-200-1-2212-13-3−2i2ii−i3i−3i2-22-22i−2i2i−2i-1-111000000000000-1100−ii−ii0000000000
χ4644-4-44i−4i1-200-1-2212-13-3−2i2ii−i3i−3i-22-22−2i2i−2i2i11-1-10000000000001-100i−ii−i0000000000
χ4744-4-44i−4i1-200-1-2212-1-33−2i2ii−i−3i3i2-2-222i−2i−2i2i-1-1110000000000001-100−iii−i0000000000
χ4844-4-44i−4i1-200-1-2212-1-33−2i2ii−i−3i3i-222-2−2i2i2i−2i11-1-1000000000000-1100i−i−ii0000000000
χ4944-4-4−4i4i1-200-1-2212-13-32i−2i−ii−3i3i2-22-2−2i2i−2i2i-1-111000000000000-1100i−ii−i0000000000
χ5044-4-4−4i4i1-200-1-2212-13-32i−2i−ii−3i3i-22-222i−2i2i−2i11-1-10000000000001-100−ii−ii0000000000
χ5144-4-4−4i4i1-200-1-2212-1-332i−2i−ii3i−3i2-2-22−2i2i2i−2i-1-1110000000000001-100i−i−ii0000000000
χ5244-4-4−4i4i1-200-1-2212-1-332i−2i−ii3i−3i-222-22i−2i−2i2i11-1-1000000000000-1100−iii−i0000000000
χ534-44-4004400-4-4-4-44400000000000000000000000000000000000000000022−22000000
χ544-44-4004400-4-4-4-444000000000000000000000000000000000000000000−2222000000
χ554-4-440044004-44-4-4-400000000000000000000000000000000000000000000−2i22i20000
χ564-4-440044004-44-4-4-4000000000000000000000000000000000000000000002i2−2i20000
χ5788-8-88i−8i-420042-2-4-24002i−2i−4i4i00000000000000000000000000000000000000000000
χ5888-8-8−8i8i-420042-2-4-2400−2i2i4i−4i00000000000000000000000000000000000000000000
χ598-88-8002-400-244-2-420000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ608-88-8002-400-244-2-4200000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ618-88-800-42004-2-242-4000000000000000000000000000000−2i32i3000000000000000000
χ628-88-800-42004-2-242-40000000000000000000000000000002i3−2i3000000000000000000
χ638-8-88002-40024-4-24-20000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ648-8-88002-40024-4-24-200000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ658-8-8800-4200-4-224-24000000000000000000000000000000000023−2300000000000000
χ668-8-8800-4200-4-224-240000000000000000000000000000000000−232300000000000000

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