Finite Group Databasebeta

← Group #11872537

Character table — Group #11872537

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order1222443344666666121212121212121222444444666612124444444412121212121212121212248888121288
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
χ511111111-1-1111111-1-11111-1-11111-1-1-1-11111-1-111111-11-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ611111111-1-1111111-1-11111-1-11111-1-1-1-11111-1-11111-11-1111-1-11111-1-1-1-11111-1-1-1-1
χ711111111-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1-1-111-1-1-1-111-1-1111111-1-1
χ811111111-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-11-11111111-1-111-1-1-1-1-1-1-1-111
χ91111-1-1111-1111111-1-1-1-1-1-11111-1-111-1-111111-1-1-11111-1-111-1-1-1-1-1-111-1111-1-11-11-1
χ101111-1-1111-1111111-1-1-1-1-1-11111-1-111-1-111111-1-1-111-1-111-1-1-1-111-1-111-11-1-111-11-11
χ111111-1-1111-1111111-1-1-1-1-1-111-1-111-1-111-1-1-1-11-1-1-11111-1-11111-1-111-1-1-11-1-1111-1-11
χ121111-1-1111-1111111-1-1-1-1-1-111-1-111-1-111-1-1-1-11-1-1-111-1-111-1-1111111-1-1-1111-1-1-111-1
χ131111-1-111-1111111111-1-1-1-1-1-111-1-1-1-1111111-11-1-1111-1-11-1-11111-1-1-1-11-1-1-1111-11-1
χ141111-1-111-1111111111-1-1-1-1-1-111-1-1-1-1111111-11-1-111-111-11111-1-1-1-1-1-11-111-1-1-11-11
χ151111-1-111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1111-1-11-1-1-1-11111111-111-1-11-1-11
χ161111-1-111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-111-111-111-1-1-1-111111-1-1-111-111-1
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-2222222-2-22222-2-2000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-2222-2222222-2-2-2-2-2-2220000000000002-222-2-2000000000000002-200000000
χ202222-2-222-2222222222-2-2-2-2-2-2000000000000-2222-2-200000000000000-2200000000
χ212-2-222i−2i2200-2-22-22-2002i−2i2i−2i0000002i−2i2-20000002i−2i2-20000002-200002i−2i0000000000
χ222-2-222i−2i2200-2-22-22-2002i−2i2i−2i000000−2i2i-220000002i−2i2-2000000-220000−2i2i0000000000
χ232-2-222i−2i2200-2-22-22-2002i−2i2i−2i002-22i−2i000022-2-200−2i2i-2200000000002i−2i000000000000
χ242-2-222i−2i2200-2-22-22-2002i−2i2i−2i00-22−2i2i0000-2-22200−2i2i-220000000000−2i2i000000000000
χ252-2-22−2i2i2200-2-22-22-200−2i2i−2i2i0000002i−2i-22000000−2i2i2-2000000-2200002i−2i0000000000
χ262-2-22−2i2i2200-2-22-22-200−2i2i−2i2i000000−2i2i2-2000000−2i2i2-20000002-20000−2i2i0000000000
χ272-2-22−2i2i2200-2-22-22-200−2i2i−2i2i002-2−2i2i000022-2-2002i−2i-220000000000−2i2i000000000000
χ282-2-22−2i2i2200-2-22-22-200−2i2i−2i2i00-222i−2i0000-2-222002i−2i-2200000000002i−2i000000000000
χ294444441-244-21-211-2-2-211-2-2-2-20000000000001100002222-1-100-1-10000000000-1-100
χ304444441-244-21-211-2-2-211-2-2-2-2000000000000110000-2-2-2-211001100000000001100
χ314444441-2-4-4-21-211-22211-2-222000000000000-1-100002-22-21100110000000000-1-100
χ324444441-2-4-4-21-211-22211-2-222000000000000-1-10000-22-22-1-100-1-100000000001100
χ33444444-21441-21-2-2111-2-2111122222222-1-1-1-1-2-20000000000-1-100-1-1-1-10000000000
χ34444444-21441-21-2-2111-2-21111-2-2-2-2-2-2-2-21111-2-20000000000110011110000000000
χ35444444-21-4-41-21-2-21-1-1-2-211-1-12222-2-2-2-2-1-1-1-12200000000001100-1-1110000000000
χ36444444-21-4-41-21-2-21-1-1-2-211-1-1-2-2-2-222221111220000000000-1-10011-1-10000000000
χ374444-4-41-24-4-21-211-222-1-122-2-20000000000001-1000022-2-2-1-100110000000000-1100
χ384444-4-41-24-4-21-211-222-1-122-2-20000000000001-10000-2-2221100-1-100000000001-100
χ394444-4-41-2-44-21-211-2-2-2-1-12222000000000000-1100002-2-221100-1-10000000000-1100
χ404444-4-41-2-44-21-211-2-2-2-1-12222000000000000-110000-222-2-1-1001100000000001-100
χ414444-4-4-214-41-21-2-21-1-122-1-11122-2-222-2-2-1-1-1-1-220000000000110011-1-10000000000
χ424444-4-4-214-41-21-2-21-1-122-1-111-2-222-2-2221111-220000000000-1-100-1-1110000000000
χ434444-4-4-21-441-21-2-211122-1-1-1-122-2-2-2-222-1-1-1-12-20000000000-1-10011110000000000
χ444444-4-4-21-441-21-2-211122-1-1-1-1-2-22222-2-211112-200000000001100-1-1-1-10000000000
χ4544-4-4004400-4-4-44-4400000000000000000000000000000000000000000000−2i22i20000
χ4644-4-4004400-4-4-44-44000000000000000000000000000000000000000000002i2−2i20000
χ474-44-400440044-4-4-4-400000000000000000000000000000000000000000022−22000000
χ484-44-400440044-4-4-4-4000000000000000000000000000000000000000000−2222000000
χ494-4-444i−4i-2100-1212-2-13-3−2i2ii−i3i−3i2-22i−2i2i−2i2-2-1-111000000000000-1100−ii−ii0000000000
χ504-4-444i−4i-2100-1212-2-13-3−2i2ii−i3i−3i-22−2i2i−2i2i-2211-1-10000000000001-100i−ii−i0000000000
χ514-4-444i−4i-2100-1212-2-1-33−2i2ii−i−3i3i2-22i−2i−2i2i-22-1-1110000000000001-100−iii−i0000000000
χ524-4-444i−4i-2100-1212-2-1-33−2i2ii−i−3i3i-22−2i2i2i−2i2-211-1-1000000000000-1100i−i−ii0000000000
χ534-4-44−4i4i-2100-1212-2-13-32i−2i−ii−3i3i2-2−2i2i−2i2i2-2-1-111000000000000-1100i−ii−i0000000000
χ544-4-44−4i4i-2100-1212-2-13-32i−2i−ii−3i3i-222i−2i2i−2i-2211-1-10000000000001-100−ii−ii0000000000
χ554-4-44−4i4i-2100-1212-2-1-332i−2i−ii3i−3i2-2−2i2i2i−2i-22-1-1110000000000001-100i−i−ii0000000000
χ564-4-44−4i4i-2100-1212-2-1-332i−2i−ii3i−3i-222i−2i−2i2i2-211-1-1000000000000-1100−iii−i0000000000
χ5788-8-8002-4004-242-2-4000000000000000000000000000000000023−2300000000000000
χ5888-8-8002-4004-242-2-40000000000000000000000000000000000−232300000000000000
χ5988-8-800-4200-24-2-4420000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ6088-8-800-4200-24-2-44200000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ618-88-8002-400-424-2-24000000000000000000000000000000−2i32i3000000000000000000
χ628-88-8002-400-424-2-240000000000000000000000000000002i3−2i3000000000000000000
χ638-88-800-42002-4-244-20000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ648-88-800-42002-4-244-200000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ658-8-888i−8i2-4004-2-4-224002i−2i−4i4i00000000000000000000000000000000000000000000
χ668-8-88−8i8i2-4004-2-4-22400−2i2i4i−4i00000000000000000000000000000000000000000000

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