Finite Group Databasebeta

← Group #11800019

Character table — Group #11800019

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1122222224444444444444444888888881616161616161616162424242424242424242424242424242436364848484872144
order1223344663666668812121212242424241212242424242424412121212121212128888161616164848484848484848242424242484
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1
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
χ6111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-11
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-11
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
χ1122222-2-22222222200-2-2-2-20000-2-20000000000000000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i22-2000000
χ1222222-2-22222222200-2-2-2-20000-2-20000000000000000000−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2-22000000
χ1322222-2-22222222200-2-2-2-20000-2-20000000000000000000i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2-22000000
χ1422222-2-22222222200-2-2-2-20000-2-20000000000000000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i22-2000000
χ152222-1222-1-12-1-1-1-1222-12-122-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1002200220000-1-1-1-10000-1-100
χ162222-1222-1-12-1-1-1-1222-12-122-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-100-2-200-2-20000111100001100
χ172222-1222-1-12-1-1-1-1222-12-122-1-1-1-12-1-1-1-1-1-2-2-2111111002200-2-2000011110000-1-100
χ182222-1222-1-12-1-1-1-1222-12-122-1-1-1-12-1-1-1-1-1-2-2-211111100-2-200220000-1-1-1-100001100
χ19222-1222-12-1-12-1-1-122-12-12-1-122-1-1-12-1-1-1-12-1-122-1-1-1-122002200-1-1-1-1000000-1-10000
χ20222-1222-12-1-12-1-1-122-12-12-1-122-1-1-12-1-1-1-12-1-122-1-1-1-1-2-200-2-2001111000000110000
χ21222-1222-12-1-12-1-1-122-12-12-1-122-1-1-12-1-1-1-1-211-2-211112200-2-2001111000000-1-10000
χ22222-1222-12-1-12-1-1-122-12-12-1-122-1-1-12-1-1-1-1-211-2-21111-2-2002200-1-1-1-1000000110000
χ2322-2222-2222-2-2-2-222-222-2-222-2-2-22-2222-2-2000000000002i−2i00000000000000002i−2i00
χ2422-2222-2222-2-2-2-222-222-2-222-2-2-22-2222-2-200000000000−2i2i0000000000000000−2i2i00
χ2522-2222-2222-2-2-2-22-2222-2-2-2-222-222-2-2-2220000000002i−2i00000000000000002i−2i0000
χ2622-2222-2222-2-2-2-22-2222-2-2-2-222-222-2-2-222000000000−2i2i0000000000000000−2i2i0000
χ2722-22-12-22-1-1-2111-12-22-1-2122111-1-2-1-1-111000−i3i3−i3−i3i3i3002i−2i000000003−33−30000−ii00
χ2822-22-12-22-1-1-2111-12-22-1-2122111-1-2-1-1-111000−i3i3−i3−i3i3i300−2i2i00000000−33−330000i−i00
χ2922-22-12-22-1-1-2111-12-22-1-2122111-1-2-1-1-111000i3−i3i3i3−i3−i3002i−2i00000000−33−330000−ii00
χ3022-22-12-22-1-1-2111-12-22-1-2122111-1-2-1-1-111000i3−i3i3i3−i3−i300−2i2i000000003−33−30000i−i00
χ3122-2-122-2-12-11-211-1-22-121-211221-1-1-211-1-10−i3i300−i3i3−i3i32i−2i0000003−33−3000000−ii0000
χ3222-2-122-2-12-11-211-1-22-121-211221-1-1-211-1-10−i3i300−i3i3−i3i3−2i2i000000−33−33000000i−i0000
χ3322-2-122-2-12-11-211-1-22-121-211221-1-1-211-1-10i3−i300i3−i3i3−i32i−2i000000−33−33000000−ii0000
χ3422-2-122-2-12-11-211-1-22-121-211221-1-1-211-1-10i3−i300i3−i3i3−i3−2i2i0000003−33−3000000i−i0000
χ354444-2444-2-24-2-2-2-2-4-44-24-2-4-422-2-2-422222000000000000000000000000000000000
χ364444-2-4-44-2-24-2-2-2-200-42-42000022000000000000000000000−2i22i20000i2i2−i2−i200000000
χ374444-2-4-44-2-24-2-2-2-200-42-420000220000000000000000000002i2−2i20000−i2−i2i2i200000000
χ38444-2444-24-2-24-2-2-2-4-4-24-2422-4-4-2-22-42222000000000000000000000000000000000
χ39444-24-4-4-24-2-24-2-2-2002-42-40000220000000000000000000−2i22i200i2i2−i2−i2000000000000
χ40444-24-4-4-24-2-24-2-2-2002-42-400002200000000000000000002i2−2i200−i2−i2i2i2000000000000
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
χ4544-444-44444-4-4-4-4400-4-44400004-4000000000000000000000000000000000000000
χ4644-44-24-44-2-2-4222-2-444-2-42-4-4-2-22-24222-2-2000000000000000000000000000000000
χ4744-44-2-444-2-2-4222-200-424-20000-22000000000000000000000000000i6−i6−i6i600000000
χ4844-44-2-444-2-2-4222-200-424-20000-22000000000000000000000000000−i6i6i6−i600000000
χ4944-4-244-4-24-22-422-24-4-242-4-2-2-4-42-224-2-222000000000000000000000000000000000
χ5044-4-24-44-24-22-422-2002-4-240000-2200000000000000000000000i6−i6−i6i6000000000000
χ5144-4-24-44-24-22-422-2002-4-240000-2200000000000000000000000−i6i6i6−i6000000000000
χ5244-4-2-24-4-2-2122-1-114-4-2-222-2-222-112-211-1-1000−2i32i3i3i3−i3−i3000000000000000000000000
χ5344-4-2-24-4-2-2122-1-114-4-2-222-2-222-112-211-1-10002i3−2i3−i3−i3i3i3000000000000000000000000
χ5444-4-2-24-4-2-2122-1-11-44-2-22222-2-2-11-22-1-1110−2i32i300i3−i3i3−i3000000000000000000000000
χ5544-4-2-24-4-2-2122-1-11-44-2-22222-2-2-11-22-1-11102i3−2i300−i3i3−i3i3000000000000000000000000
χ56888-4-4-8-8-4-42-4-42220044440000-2-2000000000000000000000000000000000000000
χ5788-8-4-4-88-4-4244-2-220044-4-400002-2000000000000000000000000000000000000000
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).