Finite Group Databasebeta

← Group #11798308

Character table — Group #11798308

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1122222224444444444444444888888881616161616161616162424242424242424242424242424242436364848484872144
order12233446636666688121212122424242412122424242424244121212121212121222441616161648484848484848482466121284
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-11-111-1-11111-1-1-1-1-1-11-11-1-1-1
χ3111111111111111111111111111111111111111111-11-11-1-111-1-1-1-11111-1-1-11-11-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ5111111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1
χ6111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-11111-1-11-11-1-11
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-1-1-1-11-11-11
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11-1
χ9222222222222222-2-22222-2-2-2-222-2-2-2-2-2-20000000000000000000000000220000-20
χ10222222222222222-2-22222-2-2-2-222-2-2-2-2-2-20000000000000000000000000-2-2000020
χ1122222-2-22222222200-2-2-2-20000-2-200000000000000000002−22−222−2−222−2−22-2000000
χ1222222-2-22222222200-2-2-2-20000-2-200000000000000000002−2−2222−2−2−2−222-22000000
χ1322222-2-22222222200-2-2-2-20000-2-20000000000000000000−222−2−2−22222−2−2-22000000
χ1422222-2-22222222200-2-2-2-20000-2-20000000000000000000−22−22−2−222−2−2222-2000000
χ152222-1222-1-12-1-1-1-1222-12-122-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1020200220000-1-1-1-1000-10-100
χ162222-1222-1-12-1-1-1-1222-12-122-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-10-20-200-2-20000111100010100
χ172222-1222-1-12-1-1-1-1222-12-122-1-1-1-12-1-1-1-1-1-2-2-2111111020200-2-200001111000-10-100
χ182222-1222-1-12-1-1-1-1222-12-122-1-1-1-12-1-1-1-1-1-2-2-21111110-20-200220000-1-1-1-100010100
χ19222-1222-12-1-12-1-1-122-12-12-1-122-1-1-12-1-1-1-12-1-122-1-1-1-120202200-1-1-1-1000000-10-1000
χ20222-1222-12-1-12-1-1-122-12-12-1-122-1-1-12-1-1-1-12-1-122-1-1-1-1-20-20-2-2001111000000101000
χ21222-1222-12-1-12-1-1-122-12-12-1-122-1-1-12-1-1-1-1-211-2-211112020-2-2001111000000-10-1000
χ22222-1222-12-1-12-1-1-122-12-12-1-122-1-1-12-1-1-1-1-211-2-21111-20-202200-1-1-1-1000000101000
χ2322-222-22222-2-2-2-222-2-2-22222-2-2-22-2222-2-200000000020-200000000000000020-2000
χ2422-222-22222-2-2-2-222-2-2-22222-2-2-22-2222-2-2000000000-202000000000000000-202000
χ2522-222-22222-2-2-2-22-22-2-222-2-222-222-2-2-222000000000020-200000000000000020-200
χ2622-222-22222-2-2-2-22-22-2-222-2-222-222-2-2-2220000000000-202000000000000000-20200
χ2722-22-1-222-1-1-2111-1-22-212-1-2-2-1-11-12111-1-1000−i3i3−i3−i3i3i3020-200000000−i3i3−i3i3000-10100
χ2822-22-1-222-1-1-2111-1-22-212-1-2-2-1-11-12111-1-1000−i3i3−i3−i3i3i30-20200000000i3−i3i3−i300010-100
χ2922-22-1-222-1-1-2111-1-22-212-1-2-2-1-11-12111-1-1000i3−i3i3i3−i3−i3020-200000000i3−i3i3−i3000-10100
χ3022-22-1-222-1-1-2111-1-22-212-1-2-2-1-11-12111-1-1000i3−i3i3i3−i3−i30-20200000000−i3i3−i3i300010-100
χ3122-2-12-22-12-11-211-12-21-2-12-1-1-2-21-112-1-1110−i3i300−i3i3−i3i320-200000−i3i3−i3i3000000-101000
χ3222-2-12-22-12-11-211-12-21-2-12-1-1-2-21-112-1-1110−i3i300−i3i3−i3i3-20200000i3−i3i3−i300000010-1000
χ3322-2-12-22-12-11-211-12-21-2-12-1-1-2-21-112-1-1110i3−i300i3−i3i3−i320-200000i3−i3i3−i3000000-101000
χ3422-2-12-22-12-11-211-12-21-2-12-1-1-2-21-112-1-1110i3−i300i3−i3i3−i3-20200000−i3i3−i3i300000010-1000
χ354444-2444-2-24-2-2-2-2-4-44-24-2-4-422-2-2-422222000000000000000000000000000000000
χ364444-2-4-44-2-24-2-2-2-200-42-4200002200000000000000000000022−220000−2−22200000000
χ374444-2-4-44-2-24-2-2-2-200-42-42000022000000000000000000000−2222000022−2−200000000
χ38444-2444-24-2-24-2-2-2-4-4-24-2422-4-4-2-22-42222000000000000000000000000000000000
χ39444-24-4-4-24-2-24-2-2-2002-42-4000022000000000000000000022−2200−2−222000000000000
χ40444-24-4-4-24-2-24-2-2-2002-42-40000220000000000000000000−22220022−2−2000000000000
χ41444-2-244-2-21-2-211144-2-2-2-2-2-2-2-211-2-211114-2-2-2-21111000000000000000000000000
χ42444-2-244-2-21-2-211144-2-2-2-2-2-2-2-211-2-21111-42222-1-1-1-1000000000000000000000000
χ43444-2-244-2-21-2-2111-4-4-2-2-2-222221122-1-1-1-1000003-3-33000000000000000000000000
χ44444-2-244-2-21-2-2111-4-4-2-2-2-222221122-1-1-1-100000-333-3000000000000000000000000
χ4544-4444-4444-4-4-4-440044-4-400004-4000000000000000000000000000000000000000
χ4644-44-24-44-2-2-4222-2004-2-420000-22000000000000000000000000000i6−i6−i6i600000000
χ4744-44-24-44-2-2-4222-2004-2-420000-22000000000000000000000000000−i6i6i6−i600000000
χ4844-44-2-444-2-2-4222-24-4-424-244222-2-4-2-2-222000000000000000000000000000000000
χ4944-4-244-4-24-22-422-200-242-40000-2200000000000000000000000i6−i6−i6i6000000000000
χ5044-4-244-4-24-22-422-200-242-40000-2200000000000000000000000−i6i6i6−i6000000000000
χ5144-4-24-44-24-22-422-2-442-4-2422442-2-2-422-2-2000000000000000000000000000000000
χ5244-4-2-2-44-2-2122-1-114-422-2-2-2-222-112-211-1-10−2i32i300i3−i3i3−i3000000000000000000000000
χ5344-4-2-2-44-2-2122-1-114-422-2-2-2-222-112-211-1-102i3−2i300−i3i3−i3i3000000000000000000000000
χ5444-4-2-2-44-2-2122-1-11-4422-2-222-2-2-11-22-1-111000−2i32i3i3i3−i3−i3000000000000000000000000
χ5544-4-2-2-44-2-2122-1-11-4422-2-222-2-2-11-22-1-1110002i3−2i3−i3−i3i3i3000000000000000000000000
χ56888-4-4-8-8-4-42-4-42220044440000-2-2000000000000000000000000000000000000000
χ5788-8-4-48-8-4-4244-2-2200-4-44400002-2000000000000000000000000000000000000000
χ588-808800-8-880000-8000000000000000000000000000000000000000000000000000
χ598-808-400-84-400004000000002i6−2i60000002i6−2i6000000000000000000000000000000000
χ608-808-400-84-40000400000000−2i62i6000000−2i62i6000000000000000000000000000000000
χ618-80-48004-8-4000040000002i6−2i60000002i6−2i600000000000000000000000000000000000
χ628-80-48004-8-400004000000−2i62i6000000−2i62i600000000000000000000000000000000000
χ638-80-4-400442006-6-20000002i6−2i62i6−2i60000−i6i6−i6i6000000000000000000000000000000000
χ648-80-4-400442006-6-2000000−2i62i6−2i62i60000i6−i6i6−i6000000000000000000000000000000000
χ658-80-4-40044200-66-20000002i6−2i6−2i62i60000−i6i6i6−i6000000000000000000000000000000000
χ668-80-4-40044200-66-2000000−2i62i62i6−2i60000i6−i6−i6i6000000000000000000000000000000000

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