Finite Group Databasebeta

← Group #11798310

Character table — Group #11798310

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1122222224444444444444444888888888816161616161616162424242424242424242424243636484848484848727272
order1223344663666881212121212122424242424612242424242424666612121212161616164848484848484848244412121212248
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-11-1-111-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ51111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11
χ61111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-11111-1
χ71111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-111-1-111-1
χ81111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11
χ92222222222222-2-2222222-2-2-2-20022-2-2-2-2-2-2000000000000000000002200000000-2
χ102222222222222-2-2222222-2-2-2-20022-2-2-2-2-2-200000000000000000000-2-2000000002
χ1122222-2-222222200-2-2-2-2-2-20000002-2000000000000002−22−222−2−222−2−22-2000000000
χ1222222-2-222222200-2-2-2-2-2-20000002-2000000000000002−2−2222−2−2−2−222-22000000000
χ1322222-2-222222200-2-2-2-2-2-20000002-200000000000000−222−2−2−22222−2−2-22000000000
χ1422222-2-222222200-2-2-2-2-2-20000002-200000000000000−22−22−2−222−2−2222-2000000000
χ152222-1222-1-1-1-12222-1-1-12-122-1-122-1-12-1-1-1-1-12-1-1-12-1-1-12200-1-1-1-100000020-1-100000
χ162222-1222-1-1-1-12222-1-1-12-122-1-122-1-12-1-1-1-1-12-1-1-12-1-1-1-2-2001111000000-201100000
χ172222-1222-1-1-1-12222-1-1-12-122-1-1-2-2-1-12-1-1-1-1-1-2111-21112200-1-1-1-1000000-201100000
χ182222-1222-1-1-1-12222-1-1-12-122-1-1-2-2-1-12-1-1-1-1-1-2111-2111-2-200111100000020-1-100000
χ19222-1222-12-12-1-122-12-1-1-12-1-12222-1-1-12-1-1-1-1-12-1-1-12-1-100220000-1-1-1-1000200-1-1000
χ20222-1222-12-12-1-122-12-1-1-12-1-12222-1-1-12-1-1-1-1-12-1-1-12-1-100-2-200001111000-20011000
χ21222-1222-12-12-1-122-12-1-1-12-1-122-2-2-1-1-12-1-1-1-11-2111-21100220000-1-1-1-1000-20011000
χ22222-1222-12-12-1-122-12-1-1-12-1-122-2-2-1-1-12-1-1-1-11-2111-21100-2-200001111000200-1-1000
χ2322-222-22222-22-22-2-2-2-2-22222-2-200-22-2222-2-200000000000000000000000000002-20
χ2422-222-22222-22-22-2-2-2-2-22222-2-200-22-2222-2-20000000000000000000000000000-220
χ2522-222-22222-22-2-22-2-2-2-222-2-2222-2-222-2-2-2222222-2-2-2-200000000000000000000000
χ2622-222-22222-22-2-22-2-2-2-222-2-222-22-222-2-2-222-2-2-2-2222200000000000000000000000
χ2722-22-1-222-1-11-1-2-22-21112-1-2-2-1-12-21-12111-1-12-1-1-1-21110000−i3i3−i3i300000000−i3i300000
χ2822-22-1-222-1-11-1-2-22-21112-1-2-2-1-12-21-12111-1-12-1-1-1-21110000i3−i3i3−i300000000i3−i300000
χ2922-22-1-222-1-11-1-2-22-21112-1-2-2-1-1-221-12111-1-1-21112-1-1-10000−i3i3−i3i300000000i3−i300000
χ3022-22-1-222-1-11-1-2-22-21112-1-2-2-1-1-221-12111-1-1-21112-1-1-10000i3−i3i3−i300000000−i3i300000
χ3122-2-12-22-12-1-2-11-221-211-1211222-21-1-1-211-1-1-12-1-11-211000000003−33−30000003−3000
χ3222-2-12-22-12-1-2-11-221-211-1211222-21-1-1-211-1-1-12-1-11-21100000000−33−33000000−33000
χ3322-2-12-22-12-1-2-11-221-211-121122-221-1-1-211-1-11-211-12-1-1000000003−33−3000000−33000
χ3422-2-12-22-12-1-2-11-221-211-121122-221-1-1-211-1-11-211-12-1-100000000−33−330000003−3000
χ354444-2444-2-2-2-24-4-44-2-2-24-2-4-42200-2-2-4222220000000000000000000000000000000
χ364444-2-4-44-2-2-2-2400-4222-42000000-220000000000000022−2200−2−222000000000000000
χ374444-2-4-44-2-2-2-2400-4222-42000000-2200000000000000−22220022−2−2000000000000000
χ38444-2444-24-24-2-2-4-4-24-2-2-2422-4-400-2-22-422220000000000000000000000000000000
χ39444-24-4-4-24-24-2-2002-4222-4000000-22000000000000000022−220000−2−22200000000000
χ40444-24-4-4-24-24-2-2002-4222-4000000-220000000000000000−2222000022−2−200000000000
χ41444-2-244-2-21-21-244-2-211-2-2-2-2-2-24411-2-21111-2-211-2-21100000000000000000000000
χ42444-2-244-2-21-21-244-2-211-2-2-2-2-2-2-4-411-2-2111122-1-122-1-100000000000000000000000
χ43444-2-244-2-21-21-2-4-4-2-211-2-22222001122-1-1-1-1003-3003-300000000000000000000000
χ44444-2-244-2-21-21-2-4-4-2-211-2-22222001122-1-1-1-100-3300-3300000000000000000000000
χ4544-4444-4444-44-4004444-4-4000000-4-40000000000000000000000000000000000000
χ4644-44-24-44-2-22-2-4004-2-2-2-4200000022000000000000000000i6−i6−i6i6000000000000000
χ4744-44-24-44-2-22-2-4004-2-2-2-4200000022000000000000000000−i6i6i6−i6000000000000000
χ4844-44-2-444-2-22-2-44-4-42224-24422002-2-4-2-2-2220000000000000000000000000000000
χ4944-4-244-4-24-2-4-2200-24-2-22-40000002200000000000000000000006−6−6600000000000
χ5044-4-244-4-24-2-4-2200-24-2-22-4000000220000000000000000000000−666−600000000000
χ5144-4-24-44-24-2-4-224-42-422-24-2-2-4-4002-224-2-2220000000000000000000000000000000
χ5244-4-2-2-44-2-212124-422-1-1-2-2-2-22200-112-211-1-1003-300-3300000000000000000000000
χ5344-4-2-2-44-2-212124-422-1-1-2-2-2-22200-112-211-1-100-33003-300000000000000000000000
χ5444-4-2-2-44-2-21212-4422-1-1-2-222-2-24-4-11-22-1-111-2-21122-1-100000000000000000000000
χ5544-4-2-2-44-2-21212-4422-1-1-2-222-2-2-44-11-22-1-11122-1-1-2-21100000000000000000000000
χ56888-4-4-8-8-4-42-42-40044-2-2440000002-20000000000000000000000000000000000000
χ5788-8-4-48-8-4-4242400-4-42244000000-2-20000000000000000000000000000000000000
χ588-808800-8-880-8000000000000000000000000000000000000000000000000000000
χ598-808-400-84-404000000000002i6−2i6000000002i6−2i60000000000000000000000000000000
χ608-808-400-84-40400000000000−2i62i600000000−2i62i60000000000000000000000000000000
χ618-80-48004-8-40400000000026−260000000026−26000000000000000000000000000000000
χ628-80-48004-8-404000000000−262600000000−2626000000000000000000000000000000000
χ638-80-4-4004420-2000006i−6i0026−262i6−2i6000000−66−i6i60000000000000000000000000000000
χ648-80-4-4004420-2000006i−6i00−2626−2i62i60000006−6i6−i60000000000000000000000000000000
χ658-80-4-4004420-200000−6i6i0026−26−2i62i6000000−66i6−i60000000000000000000000000000000
χ668-80-4-4004420-200000−6i6i00−26262i6−2i60000006−6−i6i60000000000000000000000000000000

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