Finite Group Databasebeta

← Group #11797924

Character table — Group #11797924

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1122222224444444444444444888888888816161616161616162424242424242424242424242424242436363636484848487272
order1223344663666881212121212122424242424612242424242424666612121212444416161616484848484848484844881212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ61111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111
χ71111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ911-1111-1111-11-11-1-1-1-1-11111-1-11-1-111-111-1-11111-1-1-1-11-1i−i1-1i−i11-1-1ii−i−ii−ii−i1-1i−ii−i
χ1011-1111-1111-11-11-1-1-1-1-11111-1-11-1-111-111-1-11111-1-1-1-11-1−ii1-1−ii11-1-1−i−iii−ii−ii1-1−ii−ii
χ1111-1111-1111-11-11-1-1-1-1-11111-1-11-1-111-111-1-11111-1-1-1-1-11i−i-11i−i-1-111ii−i−i−ii−ii-11i−i−ii
χ1211-1111-1111-11-11-1-1-1-1-11111-1-11-1-111-111-1-11111-1-1-1-1-11−ii-11−ii-1-111−i−iiii−ii−i-11−iii−i
χ1311-1111-1111-11-11-1-1-1-1-11111-1-1-11-111-111-1-1-1-1-1-111111-1i−i-11−ii-1-111−i−iiii−ii−i1-1i−i−ii
χ1411-1111-1111-11-11-1-1-1-1-11111-1-1-11-111-111-1-1-1-1-1-111111-1−ii-11i−i-1-111ii−i−i−ii−ii1-1−iii−i
χ1511-1111-1111-11-11-1-1-1-1-11111-1-1-11-111-111-1-1-1-1-1-11111-11i−i1-1−ii11-1-1−i−iii−ii−ii-11i−ii−i
χ1611-1111-1111-11-11-1-1-1-1-11111-1-1-11-111-111-1-1-1-1-1-11111-11−ii1-1i−i11-1-1ii−i−ii−ii−i-11−ii−ii
χ172222222222222-2-2222222-2-2-2-20022-2-2-2-2-2-200000000000000000000000022-2-2000000
χ182222222222222-2-2222222-2-2-2-20022-2-2-2-2-2-2000000000000000000000000-2-222000000
χ192222-1222-1-1-1-12222-1-1-12-1-1-12222-1-12-1-1-1-1-12-1-1-12-1-1-122002200-1-1-1-100000000-1-10000
χ202222-1222-1-1-1-12222-1-1-12-1-1-12222-1-12-1-1-1-1-12-1-1-12-1-1-1-2-200-2-200111100000000110000
χ212222-1222-1-1-1-12222-1-1-12-1-1-122-2-2-1-12-1-1-1-1-1-2111-21112200-2-200111100000000-1-10000
χ222222-1222-1-1-1-12222-1-1-12-1-1-122-2-2-1-12-1-1-1-1-1-2111-2111-2-2002200-1-1-1-100000000110000
χ23222-1222-12-12-1-122-12-1-1-1222-1-122-1-1-12-1-1-1-1-12-1-1-12-1-1002200220000-1-1-1-1000000-1-100
χ24222-1222-12-12-1-122-12-1-1-1222-1-122-1-1-12-1-1-1-1-12-1-1-12-1-100-2-200-2-2000011110000001100
χ25222-1222-12-12-1-122-12-1-1-1222-1-1-2-2-1-1-12-1-1-1-11-2111-211002200-2-200001111000000-1-100
χ26222-1222-12-12-1-122-12-1-1-1222-1-1-2-2-1-1-12-1-1-1-11-2111-21100-2-200220000-1-1-1-10000001100
χ2722-2222-2222-22-2-22-2-2-2-222-2-22200-22-22-2-2220000000000000000000000002i−2i−2i2i000000
χ2822-2222-2222-22-2-22-2-2-2-222-2-22200-22-22-2-222000000000000000000000000−2i2i2i−2i000000
χ2922-22-12-22-1-11-1-22-2-21112-1-1-1-2-22-21-121-1-1112-1-1-1-21112-2002-200-1-11100000000-110000
χ3022-22-12-22-1-11-1-22-2-21112-1-1-1-2-22-21-121-1-1112-1-1-1-2111-2200-220011-1-1000000001-10000
χ3122-22-12-22-1-11-1-22-2-21112-1-1-1-2-2-221-121-1-111-21112-1-1-12-200-220011-1-100000000-110000
χ3222-22-12-22-1-11-1-22-2-21112-1-1-1-2-2-221-121-1-111-21112-1-1-1-22002-200-1-111000000001-10000
χ3322-2-122-2-12-1-2-112-21-211-1222112-21-1-1-2-1-111-12-1-11-211002i−2i002i−2i0000−i−iii000000−ii00
χ3422-2-122-2-12-1-2-112-21-211-1222112-21-1-1-2-1-111-12-1-11-21100−2i2i00−2i2i0000ii−i−i000000i−i00
χ3522-2-122-2-12-1-2-112-21-211-122211-221-1-1-2-1-1111-211-12-1-1002i−2i00−2i2i0000ii−i−i000000−ii00
χ3622-2-122-2-12-1-2-112-21-211-122211-221-1-1-2-1-1111-211-12-1-100−2i2i002i−2i0000−i−iii000000i−i00
χ3744444-4-444444400-4-4-4-4-4-40000004-40000000000000000000000000000000000000000
χ384444-2444-2-2-2-24-4-44-2-2-24-222-4-400-2-2-4222220000000000000000000000000000000000
χ394444-2-4-44-2-2-2-2400-4222-42000000-220000000000000000000000i6−i6i6−i600000000000000
χ404444-2-4-44-2-2-2-2400-4222-42000000-220000000000000000000000−i6i6−i6i600000000000000
χ41444-2444-24-24-2-2-4-4-24-2-2-24-4-42200-2-22-422220000000000000000000000000000000000
χ42444-24-4-4-24-24-2-2002-4222-4000000-2200000000000000000000000000i6−i6i6−i60000000000
χ43444-24-4-4-24-24-2-2002-4222-4000000-2200000000000000000000000000−i6i6−i6i60000000000
χ44444-2-244-2-21-21-244-2-211-2-2-2-2-2-24411-2-21111-2-211-2-21100000000000000000000000000
χ45444-2-244-2-21-21-244-2-211-2-2-2-2-2-2-4-411-2-2111122-1-122-1-100000000000000000000000000
χ46444-2-244-2-21-21-2-4-4-2-211-2-22222001122-1-1-1-1003-3003-300000000000000000000000000
χ47444-2-244-2-21-21-2-4-4-2-211-2-22222001122-1-1-1-100-3300-3300000000000000000000000000
χ4844-444-44444-44-4004444-4-4000000-4-40000000000000000000000000000000000000000
χ4944-44-24-44-2-22-2-4-44-42224-22244002-2-4-222-2-20000000000000000000000000000000000
χ5044-44-2-444-2-22-2-4004-2-2-2-42000000220000000000000000000000i6−i6−i6i600000000000000
χ5144-44-2-444-2-22-2-4004-2-2-2-42000000220000000000000000000000−i6i6i6−i600000000000000
χ5244-4-244-4-24-2-4-22-442-422-24-4-4-2-2002-22422-2-20000000000000000000000000000000000
χ5344-4-24-44-24-2-4-2200-24-2-22-400000022000000000000000000000000006−6−660000000000
χ5444-4-24-44-24-2-4-2200-24-2-22-40000002200000000000000000000000000−666−60000000000
χ5544-4-2-24-4-2-212124-422-1-1-2-2-2-2224-4-11-2211-1-1-2-21122-1-100000000000000000000000000
χ5644-4-2-24-4-2-212124-422-1-1-2-2-2-222-44-11-2211-1-122-1-1-2-21100000000000000000000000000
χ5744-4-2-24-4-2-21212-4422-1-1-2-222-2-200-112-2-1-111003-300-3300000000000000000000000000
χ5844-4-2-24-4-2-21212-4422-1-1-2-222-2-200-112-2-1-11100-33003-300000000000000000000000000
χ59888-4-4-8-8-4-42-42-40044-2-2440000002-20000000000000000000000000000000000000000
χ6088-8-4-4-88-4-4242400-4-42244000000-2-20000000000000000000000000000000000000000
χ618-808800-8-880-8000000000000000000000000000000000000000000000000000000000
χ628-808-400-84-4040000000002i6−2i6000000002i6−2i6000000000000000000000000000000000000
χ638-808-400-84-404000000000−2i62i600000000−2i62i6000000000000000000000000000000000000
χ648-80-48004-8-4040000000000026−260000000026−260000000000000000000000000000000000
χ658-80-48004-8-40400000000000−262600000000−26260000000000000000000000000000000000
χ668-80-4-4004420-2000006i−6i002i6−2i626−26000000−i6i6−660000000000000000000000000000000000
χ678-80-4-4004420-2000006i−6i00−2i62i6−2626000000i6−i66−60000000000000000000000000000000000
χ688-80-4-4004420-200000−6i6i002i6−2i6−2626000000−i6i66−60000000000000000000000000000000000
χ698-80-4-4004420-200000−6i6i00−2i62i626−26000000i6−i6−660000000000000000000000000000000000

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