Finite Group Databasebeta

← Group #11872231

Character table — Group #11872231

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order1222442334666666661212121212122222444466666124444244466121212121212121244888861288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-111-1-1
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
χ5111111-111-1111111-1-11111-1-111-1-111-1-11111-1-111111-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ6111111-111-1111111-1-11111-1-111-1-111-1-11111-1-11111-11-11-1-11111-1-111-1-11111-1-1-1-1
χ7111111-111-1111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111-11-111-1-1-1-111-1-1-1-1111111-1-1
χ8111111-111-1111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-11-111111-1-11111-1-1-1-1-1-1-1-111
χ91111-1-1111-111111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1111-1-1111-1-1-1-1-1-111-1111-1-11-11-1
χ101111-1-1111-111111111-1-1-1-1-1-11111-1-1-1-111111-1-1-111-111-11111-1-1-1-1-1-1-11-1-111-11-11
χ111111-1-1111-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1111-1-11-1-1-1-1111111-11-1-1111-1-11
χ121111-1-1111-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111-111-1-1-1111111-1-1-1111-1-1-111-1
χ131111-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111111-11-1-11111-1-1-1-111-1-111-1-11-1-1-1111-11-1
χ141111-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111111-11-1-111-1-111-1-1-1-1-1-111111-111-1-1-11-11
χ151111-1-1-1111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-11111-1-1111111-1-1-1-11-111-1-11-1-11
χ161111-1-1-1111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-1-11111-1-111-1-1111-1-1-111-111-1
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ18222222-222-2222222-2-22222-2-2000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-2222-222222222-2-2-2-2-2-20000000000002-222-2-2000000000000002-200000000
χ202222-2-2-2222222222-2-2-2-2-2-222000000000000-2222-2-200000000000000-2200000000
χ212-22-22i−2i02202-22-2-2-2002i−2i2i−2i00002-2002i−2i0000002i−2i2-200002-200002i−2i000000000000
χ222-22-22i−2i02202-22-2-2-2002i−2i2i−2i0000-2200−2i2i0000002i−2i2-20000-220000−2i2i000000000000
χ232-22-22i−2i02202-22-2-2-2002i−2i2i−2i002-2002i−2i0022-2-200−2i2i-22000000002i−2i00000000000000
χ242-22-22i−2i02202-22-2-2-2002i−2i2i−2i00-2200−2i2i00-2-22200−2i2i-2200000000−2i2i00000000000000
χ252-22-2−2i2i02202-22-2-2-200−2i2i−2i2i00002-200−2i2i000000−2i2i2-200002-20000−2i2i000000000000
χ262-22-2−2i2i02202-22-2-2-200−2i2i−2i2i0000-22002i−2i000000−2i2i2-20000-2200002i−2i000000000000
χ272-22-2−2i2i02202-22-2-2-200−2i2i−2i2i002-200−2i2i0022-2-2002i−2i-2200000000−2i2i00000000000000
χ282-22-2−2i2i02202-22-2-2-200−2i2i−2i2i00-22002i−2i00-2-222002i−2i-22000000002i−2i00000000000000
χ2944444441-24-211-2-21-2-211-2-2-2-2000000000000110000222200-1-10000-1-1000000-1-100
χ3044444441-24-211-2-21-2-211-2-2-2-2000000000000110000-2-2-2-200110000110000001100
χ314444444-2141-2-211-211-2-2111122222222-1-1-1-1-2-200000000-1-100-1-1-1-1000000000000
χ324444444-2141-2-211-211-2-21111-2-2-2-2-2-2-2-21111-2-20000000011001111000000000000
χ33444444-41-2-4-211-2-212211-2-222000000000000-1-100002-22-20011000011000000-1-100
χ34444444-41-2-4-211-2-212211-2-222000000000000-1-10000-22-2200-1-10000-1-10000001100
χ35444444-4-21-41-2-211-2-1-1-2-211-1-122-2-222-2-2-1-1-1-122000000001100-1-111000000000000
χ36444444-4-21-41-2-211-2-1-1-2-211-1-1-2-222-2-22211112200000000-1-10011-1-1000000000000
χ374444-4-441-2-4-211-2-21-2-2-1-122220000000000001-100002-2-2200110000-1-1000000-1100
χ384444-4-441-2-4-211-2-21-2-2-1-122220000000000001-10000-222-200-1-10000110000001-100
χ394444-4-44-21-41-2-211-21122-1-1-1-12222-2-2-2-2-1-1-1-1-2200000000-1-1001111000000000000
χ404444-4-44-21-41-2-211-21122-1-1-1-1-2-2-2-222221111-22000000001100-1-1-1-1000000000000
χ414444-4-4-41-24-211-2-2122-1-122-2-2000000000000-11000022-2-200-1-1000011000000-1100
χ424444-4-4-41-24-211-2-2122-1-122-2-2000000000000-110000-2-22200110000-1-10000001-100
χ434444-4-4-4-2141-2-211-2-1-122-1-11122-2-2-2-222-1-1-1-12-200000000110011-1-1000000000000
χ444444-4-4-4-2141-2-211-2-1-122-1-111-2-22222-2-211112-200000000-1-100-1-111000000000000
χ4544-4-4000440-44-44-4-400000000000000000000000000000000000000000000−2i22i20000
χ4644-4-4000440-44-44-4-4000000000000000000000000000000000000000000002i2−2i20000
χ474-44-44i−4i0-21012-2-1-123-3−2i2ii−i3i−3i2-22-22i−2i2i−2i-1-1110000000000-1100−ii−ii000000000000
χ484-44-44i−4i0-21012-2-1-123-3−2i2ii−i3i−3i-22-22−2i2i−2i2i11-1-100000000001-100i−ii−i000000000000
χ494-44-44i−4i0-21012-2-1-12-33−2i2ii−i−3i3i2-2-222i−2i−2i2i-1-11100000000001-100−iii−i000000000000
χ504-44-44i−4i0-21012-2-1-12-33−2i2ii−i−3i3i-222-2−2i2i2i−2i11-1-10000000000-1100i−i−ii000000000000
χ514-44-4−4i4i0-21012-2-1-123-32i−2i−ii−3i3i2-22-2−2i2i−2i2i-1-1110000000000-1100i−ii−i000000000000
χ524-44-4−4i4i0-21012-2-1-123-32i−2i−ii−3i3i-22-222i−2i2i−2i11-1-100000000001-100−ii−ii000000000000
χ534-44-4−4i4i0-21012-2-1-12-332i−2i−ii3i−3i2-2-22−2i2i2i−2i-1-11100000000001-100i−i−ii000000000000
χ544-44-4−4i4i0-21012-2-1-12-332i−2i−ii3i−3i-222-22i−2i−2i2i11-1-10000000000-1100−iii−i000000000000
χ554-4-44000440-4-4-4-44400000000000000000000000000000000000000000022−22000000
χ564-4-44000440-4-4-4-444000000000000000000000000000000000000000000−2222000000
χ5788-8-80002-4042-2-44-20000000000000000000000000000000023−230000000000000000
χ5888-8-80002-4042-2-44-200000000000000000000000000000000−23230000000000000000
χ5988-8-8000-420-2-442-240000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ6088-8-8000-420-2-442-2400000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ618-88-88i−8i02-40-4-2244-2002i−2i−4i4i00000000000000000000000000000000000000000000
χ628-88-8−8i8i02-40-4-2244-200−2i2i4i−4i00000000000000000000000000000000000000000000
χ638-8-880002-404-2-24-4200000000000000000000000000000000000000−2i32i30000000000
χ648-8-880002-404-2-24-42000000000000000000000000000000000000002i3−2i30000000000
χ658-8-88000-420-244-22-40000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ668-8-88000-420-244-22-400000000000000002i3−2i3−2i32i3000000000000000000000000000000

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