Finite Group Databasebeta

← Group #11887994

Character table — Group #11887994

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444888812121212161616161818181818181818181824242424242424242424242424243636363636363648484848
order122244233466666612121212444466121222444488882244446612121212121248888886121212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-1-11-111-1-111-1-111-1-11-1-1-1-1-1-1-111-1
χ311111111111111111111-1-1111111111111-1-1-1-1-11-1-111-1-111-1-1111-1-1-1-1-1-11-1-11
χ411111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ5111111-111-111111111111111-1-1-1-1-1-1-1-11111111-1-1-11-111111111111-1-1-1-1-1-1-1-1
χ6111111-111-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-111-1-11-1-111111-1-11
χ7111111-111-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-111-1-1111-1-11111-111-1
χ8111111-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-11-1-1-1-1-1-1-1-1111-1-1-1-11111
χ91111-1-1111-1111111-1-1-1-1111111-1-1-1-111111111-11-11-1-1-1-1-1-11111-1-1-111-1-111-1-1
χ101111-1-1111-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1111-1-11111-1-1-111-1-111-11-11
χ111111-1-1111-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1-111-111-1-1111-11-1
χ121111-1-1111-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111111-11-1111111-1-1-1-1-1-1-111-1-1-1-111
χ131111-1-1-1111111111-1-1-1-11111-1-11111-1-1111111-1-11-1-11-1-1-1-11111-1-1-1-1-111-1-111
χ141111-1-1-1111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-111-11-1-1-11111-1-1-11111-1-11-11-1
χ151111-1-1-1111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11-1-11-1111-1-1-1-111-11111-1-1-11-11
χ161111-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-111-11111-1-1-1-1-1-1-1-1-11111-1-1
χ172222222222222222222200002222-2-2-2-2-2-2000000000000000000-20000000000
χ18222222-222-222222222220000-2-2-2-22222-2-2000000000000000000-20000000000
χ192222-2-2222-2222222-2-2-2-2000022-2-222-2-2-2-200000000000000000020000000000
χ202222-2-2-2222222222-2-2-2-20000-2-222-2-222-2-200000000000000000020000000000
χ212-22-22i−2i0220-2-222-2-22i−2i2i−2i000000002-22i−2i0022−2−2000000000000000−i2i2−i2i22−20000
χ222-22-22i−2i0220-2-222-2-22i−2i2i−2i000000002-22i−2i00−2−222000000000000000i2−i2i2−i2−220000
χ232-22-22i−2i0220-2-222-2-22i−2i2i−2i00000000-22−2i2i0022−2−2000000000000000−i2i2i2−i2−220000
χ242-22-22i−2i0220-2-222-2-22i−2i2i−2i00000000-22−2i2i00−2−222000000000000000i2−i2−i2i22−20000
χ252-22-2−2i2i0220-2-222-2-2−2i2i−2i2i000000002-2−2i2i0022−2−2000000000000000i2−i2i2−i22−20000
χ262-22-2−2i2i0220-2-222-2-2−2i2i−2i2i000000002-2−2i2i00−2−222000000000000000−i2i2−i2i2−220000
χ272-22-2−2i2i0220-2-222-2-2−2i2i−2i2i00000000-222i−2i0022−2−2000000000000000i2−i2−i2i2−220000
χ282-22-2−2i2i0220-2-222-2-2−2i2i−2i2i00000000-222i−2i00−2−222000000000000000−i2i2i2−i22−20000
χ292-2-220002202-2-2-22-200002i−2i2-2000000002-22i−2i2i−2i00000000002i−2i2-200000000000
χ302-2-220002202-2-2-22-200002i−2i-22000000002-2−2i2i−2i2i00000000002i−2i-2200000000000
χ312-2-220002202-2-2-22-20000−2i2i2-2000000002-2−2i2i−2i2i0000000000−2i2i2-200000000000
χ322-2-220002202-2-2-22-20000−2i2i-22000000002-22i−2i2i−2i0000000000−2i2i-2200000000000
χ3344444441-241-21-2-21-2-21122001-21-20000000000202200-1-100-1-10000000000-1-10
χ3444444441-241-21-2-21-2-211-2-2001-21-20000000000-20-2-2001100110000000000110
χ354444444-214-21-211-211-2-20022-21-21000000000002002200-1-100-1-10000000-100-1
χ364444444-214-21-211-211-2-200-2-2-21-2100000000000-200-2-20011001100000001001
χ37444444-41-2-41-21-2-21-2-2112200-12-12000000000020-2-200-1-100-1-10000000000110
χ38444444-41-2-41-21-2-21-2-211-2-200-12-120000000000-2022001100110000000000-1-10
χ39444444-4-21-4-21-211-211-2-200222-12-100000000000-2002-200-1-100-1-100000001001
χ40444444-4-21-4-21-211-211-2-200-2-22-12-100000000000200-22001100110000000-100-1
χ414444-4-441-2-41-21-2-2122-1-122001-2-120000000000-20-22001100-1-10000000000-110
χ424444-4-441-2-41-21-2-2122-1-1-2-2001-2-120000000000202-200-1-1001100000000001-10
χ434444-4-44-21-4-21-211-2-1-1220022-212-100000000000200-2-2001100-1-10000000-1001
χ444444-4-44-21-4-21-211-2-1-12200-2-2-212-100000000000-2002200-1-100110000000100-1
χ454444-4-4-41-241-21-2-2122-1-12200-121-20000000000-202-2001100-1-100000000001-10
χ464444-4-4-41-241-21-2-2122-1-1-2-200-121-2000000000020-2200-1-100110000000000-110
χ474444-4-4-4-214-21-211-2-1-12200222-1-2100000000000-200-22001100-1-10000000100-1
χ484444-4-4-4-214-21-211-2-1-12200-2-22-1-21000000000002002-200-1-100110000000-1001
χ4944-4-4000440-44-4-4-44000000000000000000−2i22i22i2−2i20000000000000000000000000
χ5044-4-4000440-44-4-4-440000000000000000002i2−2i2−2i22i20000000000000000000000000
χ514-4-440004404-4-4-44-40000000000000000-4400000000000000000000000000000
χ5288-8-80002-40-2-4-24420000000000000000000000000000−2i32i300000000000000000
χ5388-8-80002-40-2-4-244200000000000000000000000000002i3−2i300000000000000000
χ5488-8-8000-420424-2-2-400000000000000000000000000000023−23000000000000000
χ5588-8-8000-420424-2-2-4000000000000000000000000000000−2323000000000000000
χ568-88-88i−8i02-40-242-44-2−4i4i2i−2i0000000000000000000000000000000000000000000
χ578-88-88i−8i0-4204-2-42-242i−2i−4i4i0000000000000000000000000000000000000000000
χ588-88-8−8i8i02-40-242-44-24i−4i−2i2i0000000000000000000000000000000000000000000
χ598-88-8−8i8i0-4204-2-42-24−2i2i4i−4i0000000000000000000000000000000000000000000
χ608-8-880002-4024-24-4-200004i−4i00000000000000000000000000−2i2i0000000000000
χ618-8-880002-4024-24-4-20000−4i4i000000000000000000000000002i−2i0000000000000
χ628-8-88000-420-4-24-2240000004-400000000000000000000000000-2200000000000
χ638-8-88000-420-4-24-224000000-44000000000000000000000000002-200000000000

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