Finite Group Databasebeta

← Group #11884506

Character table — Group #11884506

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122444444444488888888121212121212121216161818242424242424242424242424242424243636363636363648487272
order12224423346666666612121212121222446666612442224446666121212121212244888861288
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111111111-1-11-1111-1-11111-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-11111-111-11-1-1-111-1-1-1-111111-1-1-1-111-1-1
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
χ5111111-111-1111111-1-11111-1-111111111-1-111-11-1-1-11-1-11111-1-1111-1-11111-1-1-1-1
χ6111111-111-1111111-1-11111-1-111-1-11111-1-111-1-11-111-1-1-1-111-1-1-1-11-1-1-1-1-1-11111
χ7111111-111-1111111-1-11111-1-1-1-111-1-1-1-1-1-11111-11-1-11111-1-111111-1-1-1-1-1-1-1-111
χ8111111-111-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1111-111-1-1-1-111-1-11-1-1111111-1-1
χ91111-1-1111-111111111-1-1-1-1-1-1111111111-1111-11-1-1-111-1-1-1-1-1-111-1-1111-1-11-1-11
χ101111-1-1111-111111111-1-1-1-1-1-111-1-111111-11111-1-11-11111-1-1-1-1-1-1-1-11-1-111-111-1
χ111111-1-1111-111111111-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-11-1-1-1-1111111-1-11-1-1111-11-1
χ121111-1-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1111-1-1111111-1-1-1-1111-1-1-11-11
χ131111-1-1-1111111111-1-1-1-1-1-11111111111-1111-1-1-111-1-1-1-1-1-1-11111-11-111-1-1-111-1
χ141111-1-1-1111111111-1-1-1-1-1-11111-1-11111-1111-1111-1-1-1-111-1-111-1-1-11-1-1-1111-1-11
χ151111-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-1-11111-1-111-1-111-11-1-1-111-11-11
χ161111-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-11111111-1-1-1-1-11-111-1-11-11-1
χ172222222222222222222222220000000022-2-20000000000000000-2-2-200000000
χ18222222-222-2222222-2-22222-2-200000000-2-2-2-20000000000000000-22200000000
χ192222-2-2222-222222222-2-2-2-2-2-2000000002-2-2-2000000000000000022-200000000
χ202222-2-2-2222222222-2-2-2-2-2-22200000000-22-2-200000000000000002-2200000000
χ212-2-22000220-2-222-2-2000000002-22-222-2-200-22000000000000002-20002-2000000
χ222-2-22000220-2-222-2-2000000002-2-2222-2-200-2200000000000000-22000-22000000
χ232-2-22000220-2-222-2-200000000-222-2-2-22200-22000000000000002-2000-22000000
χ242-2-22000220-2-222-2-200000000-22-22-2-22200-2200000000000000-220002-2000000
χ2544444441-241-21-21-21111-2-2112200-1-1-1-1-2-200200202-1-100-1-1-1-10000000000000
χ2644444441-241-21-21-21111-2-211-2-2001111-2-200-200-20-2110011110000000000000
χ274444444-214-21-21-21-2-2-2-211-2-200220000110002202000-1-10000-1-10000000-1-100
χ284444444-214-21-21-21-2-2-2-211-2-200-2-2000011000-2-20-20001100001100000001100
χ29444444-41-2-41-21-21-2-1-111-2-2-1-12200-1-1-1-12200-200-2021100-1-1110000000000000
χ30444444-41-2-41-21-21-2-1-111-2-2-1-1-2-2001111220020020-2-1-10011-1-10000000000000
χ31444444-4-21-4-21-21-2122-2-2112200220000-1-10002-20-2000-1-10000-1-100000001100
χ32444444-4-21-4-21-21-2122-2-2112200-2-20000-1-1000-2202000110000110000000-1-100
χ334444-4-441-2-41-21-21-211-1-122-1-12200-1-1-1-1-2200200-20-2-1-10011110000000000000
χ344444-4-441-2-41-21-21-211-1-122-1-1-2-2001111-2200-2002021100-1-1-1-10000000000000
χ354444-4-44-21-4-21-21-21-2-222-1-122002200001-1000-220-2000110000-1-10000000-1100
χ364444-4-44-21-4-21-21-21-2-222-1-12200-2-200001-10002-202000-1-100001100000001-100
χ374444-4-4-41-241-21-21-2-1-1-1-122112200-1-1-1-12-200-20020-2110011-1-10000000000000
χ384444-4-4-41-241-21-21-2-1-1-1-12211-2-20011112-200200-202-1-100-1-1110000000000000
χ394444-4-4-4-214-21-21-212222-1-1-2-200220000-11000-2-202000110000-1-100000001-100
χ404444-4-4-4-214-21-21-212222-1-1-2-200-2-20000-11000220-2000-1-10000110000000-1100
χ4144-4-44i−4i01-201-2-12-123-3i−i2i−2i3i−3i0000−i3i3−i3i30000000000−i3i3003−33−30000000000000
χ4244-4-44i−4i01-201-2-12-123-3i−i2i−2i3i−3i0000i3−i3i3−i30000000000i3−i300−33−330000000000000
χ4344-4-44i−4i01-201-2-12-12-33i−i2i−2i−3i3i0000−i3i3−i3i30000000000i3−i3003−3−330000000000000
χ4444-4-44i−4i01-201-2-12-12-33i−i2i−2i−3i3i0000i3−i3i3−i30000000000−i3i300−333−30000000000000
χ4544-4-44i−4i044044-4-4-4-4004i−4i−4i4i00000000000000000000000000000000000000000
χ4644-4-4−4i4i01-201-2-12-123-3−ii−2i2i−3i3i0000−i3i3−i3i30000000000−i3i300−33−330000000000000
χ4744-4-4−4i4i01-201-2-12-123-3−ii−2i2i−3i3i0000i3−i3i3−i30000000000i3−i3003−33−30000000000000
χ4844-4-4−4i4i01-201-2-12-12-33−ii−2i2i3i−3i0000−i3i3−i3i30000000000i3−i300−333−30000000000000
χ4944-4-4−4i4i01-201-2-12-12-33−ii−2i2i3i−3i0000i3−i3i3−i30000000000−i3i3003−3−330000000000000
χ5044-4-4−4i4i044044-4-4-4-400−4i4i4i−4i00000000000000000000000000000000000000000
χ514-44-4000440-4-4-4-4440000000000000000000000000000000000000000022−220000
χ524-44-4000440-4-4-4-44400000000000000000000000000000000000000000−22220000
χ534-4-44000440-4-444-4-40000000000000000004-4000000000000000000000000000
χ5488-8-88i−8i0-420-424-24-200−4i4i−2i2i00000000000000000000000000000000000000000
χ5588-8-8−8i8i0-420-424-24-2004i−4i2i−2i00000000000000000000000000000000000000000
χ568-88-80002-40-24-242-4000000000000−2i32i32i3−2i30000000000000000000000000000000
χ578-88-80002-40-24-242-40000000000002i3−2i3−2i32i30000000000000000000000000000000
χ588-88-8000-4204-24-2-420000000000000000000000000000−2i32i300000000000000000
χ598-88-8000-4204-24-2-4200000000000000000000000000002i3−2i300000000000000000
χ608-8-880002-40-242-4-24000000004-400-2-2220000000000000000000000000000000
χ618-8-880002-40-242-4-2400000000-440022-2-20000000000000000000000000000000
χ628-8-88000-4204-2-424-200000000004-40000000000000000000000-2200000000000
χ638-8-88000-4204-2-424-20000000000-4400000000000000000000002-200000000000

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