Finite Group Databasebeta

← Group #11884662

Character table — Group #11884662

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122444444444488888888121212121212121216161818242424242424242424242424242424243636363636363648487272
order1222442334666666661212121212122244121212126124424444466661212121212122448888121288
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-11111-11-111-111-1-1-1-111-1-1111-1-1-1-111-1-1
χ3111111111111111111111111-1-111111111111-11-1-11-1-11111-1-111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111
χ5111111-111-1111111-1-1-1-1111111111111-1-1111-1-11-1-11111-1-111-1-11-1-11111-1-1-1-1
χ6111111-111-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-111
χ7111111-111-1111111-1-1-1-11111-1-1111111-1-11111-1-11-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111
χ8111111-111-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-111-1-1111-1-1111111-1-1
χ91111-1-1111-111111111-1-1-1-1-1-1111111111-111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-11-11
χ101111-1-1111-111111111-1-1-1-1-1-111-1-1-1-1-1-11-1111-11-11-1111111-1-1-1-1-1-11-1-111-111-1
χ111111-1-1111-111111111-1-1-1-1-1-1-1-11111111-111-11-11-11-1-1-1-1-1-11111-1-11-1-1111-11-1
χ121111-1-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1111111-1-1-1-1111-1-11-1-11
χ131111-1-1-1111111111-1-111-1-1-1-111111111-1111-111-1-1-111-1-111-1-1-1-1-11-111-1-11-11-1
χ141111-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1-111111-1-1-111111-1-1-1-111-11-1-1-1111-1-11
χ151111-1-1-1111111111-1-111-1-1-1-1-1-1111111-1111-1-1111-1-1-1-1-11111-1-1-11-1-1-111-11-11
χ161111-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111-1-11111-11-111-1-1-111-1
χ172222222222222222222222220000000022-2-20000000000000000-2-2-200000000
χ18222222-222-2222222-2-2-2-2222200000000-2-2-2-20000000000000000-22200000000
χ192222-2-2222-222222222-2-2-2-2-2-2000000002-2-2-2000000000000000022-200000000
χ202222-2-2-2222222222-2-222-2-2-2-200000000-22-2-200000000000000002-2200000000
χ212-2-22000220-2-2-2-222000000002-22-222-2-200-220000002-2000000000002-2000000
χ222-2-22000220-2-2-2-222000000002-2-22-2-22200-220000002-200000000000-22000000
χ232-2-22000220-2-2-2-22200000000-222-222-2-200-22000000-2200000000000-22000000
χ242-2-22000220-2-2-2-22200000000-22-22-2-22200-22000000-22000000000002-2000000
χ2544444441-241-21-21-2111111-2-20022-1-1-1-1-2-20020200200-1-1-1-100-1-100000000000
χ2644444441-241-21-21-2111111-2-200-2-21111-2-200-20-200-2001111001100000000000
χ274444444-214-21-21-21-2-2-2-2-2-211220000001100020220-1-10000-1-1000000000-1-100
χ284444444-214-21-21-21-2-2-2-2-2-211-2-200000011000-20-2-20110000110000000001100
χ29444444-41-2-41-21-21-2-1-1-1-111-2-20022-1-1-1-1220020-200-200-1-111001100000000000
χ30444444-41-2-41-21-21-2-1-1-1-111-2-200-2-211112200-2020020011-1-100-1-100000000000
χ31444444-4-21-4-21-21-212222-2-21122000000-1-1000-202-20-1-10000-1-10000000001100
χ32444444-4-21-4-21-21-212222-2-211-2-2000000-1-100020-22011000011000000000-1-100
χ334444-4-441-2-41-21-21-211-1-1-1-1220022-1-1-1-1-2200-20-200200111100-1-100000000000
χ344444-4-441-2-41-21-21-211-1-1-1-12200-2-21111-220020200-200-1-1-1-1001100000000000
χ354444-4-44-21-4-21-21-21-2-22222-1-1220000001-1000-20-220-1-10000110000000001-100
χ364444-4-44-21-4-21-21-21-2-22222-1-1-2-20000001-1000202-20110000-1-1000000000-1100
χ374444-4-4-41-241-21-21-2-1-111-1-1220022-1-1-1-12-200-20200-20011-1-1001100000000000
χ384444-4-4-41-241-21-21-2-1-111-1-12200-2-211112-20020-200200-1-11100-1-100000000000
χ394444-4-4-4-214-21-21-2122-2-222-1-122000000-1100020-2-20-1-1000011000000000-1100
χ404444-4-4-4-214-21-21-2122-2-222-1-1-2-2000000-11000-20220110000-1-10000000001-100
χ4144-4-400044044-4-4-4-40000000000000000000000000000000000000000022−220000
χ4244-4-400044044-4-4-4-400000000000000000000000000000000000000000−22220000
χ434-44-44i−4i01-20-121-2-123-33i−3ii−i2i−2i00003−33−3000000000000−i3i3−i3i3003−300000000000
χ444-44-44i−4i01-20-121-2-123-33i−3ii−i2i−2i0000−33−33000000000000i3−i3i3−i300−3300000000000
χ454-44-44i−4i01-20-121-2-12-33−3i3ii−i2i−2i00003−33−3000000000000−i3i3i3−i300−3300000000000
χ464-44-44i−4i01-20-121-2-12-33−3i3ii−i2i−2i0000−33−33000000000000i3−i3−i3i3003−300000000000
χ474-44-44i−4i0440-4-444-4-400004i−4i−4i4i000000000000000000000000000000000000000
χ484-44-4−4i4i01-20-121-2-123-3−3i3i−ii−2i2i00003−33−3000000000000i3−i3i3−i3003−300000000000
χ494-44-4−4i4i01-20-121-2-123-3−3i3i−ii−2i2i0000−33−33000000000000−i3i3−i3i300−3300000000000
χ504-44-4−4i4i01-20-121-2-12-333i−3i−ii−2i2i00003−33−3000000000000i3−i3−i3i300−3300000000000
χ514-44-4−4i4i01-20-121-2-12-333i−3i−ii−2i2i0000−33−33000000000000−i3i3i3−i3003−300000000000
χ524-44-4−4i4i0440-4-444-4-40000−4i4i4i−4i000000000000000000000000000000000000000
χ534-4-44000440-4-4-4-4440000000000000000004-4000000000000000000000000000
χ5488-8-80002-402-4-24-2400000000000023−23−23230000000000000000000000000000000
χ5588-8-80002-402-4-24-24000000000000−232323−230000000000000000000000000000000
χ5688-8-8000-420-424-24-20000000000000000000000000000000023−230000000000000
χ5788-8-8000-420-424-24-200000000000000000000000000000000−23230000000000000
χ588-88-88i−8i0-4204-2-424-20000−4i4i−2i2i000000000000000000000000000000000000000
χ598-88-8−8i8i0-4204-2-424-200004i−4i2i−2i000000000000000000000000000000000000000
χ608-8-880002-40-24-242-400000000004-4-2-2220000000000000000000000000000000
χ618-8-880002-40-24-242-40000000000-4422-2-20000000000000000000000000000000
χ628-8-88000-4204-24-2-42000000004-40000000000000000-220000000000000000000
χ638-8-88000-4204-24-2-4200000000-4400000000000000002-20000000000000000000

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