Finite Group Databasebeta

← Group #11797921

Character table — Group #11797921

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1122222224444444444444444888888888816161616161616162424242424242424242424242424242436363636484848487272
order122334466366666881212121224242424441212242424242424121212121212121224881616161648484848484848484488612242444
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
χ911-1111-11111-1-1-1-11-1-111-111-1-1i−i-111-111-1-1iiii−i−i−i−i1-1i−ii−i1-1ii−i−i11-1-1i−ii−i1-1i−i1-1
χ1011-1111-11111-1-1-1-11-1-111-111-1-1i−i-111-111-1-1iiii−i−i−i−i1-1−iii−i-11ii−i−i-1-111−ii−ii1-1−ii-11
χ1111-1111-11111-1-1-1-11-1-111-111-1-1i−i-111-111-1-1iiii−i−i−i−i-11i−i−ii1-1−i−iii11-1-1−ii−ii-11i−i-11
χ1211-1111-11111-1-1-1-11-1-111-111-1-1i−i-111-111-1-1iiii−i−i−i−i-11−ii−ii-11−i−iii-1-111i−ii−i-11−ii1-1
χ1311-1111-11111-1-1-1-11-1-111-111-1-1−ii-111-111-1-1−i−i−i−iiiii1-1i−i−ii-11−i−iii-1-111i−ii−i1-1i−i-11
χ1411-1111-11111-1-1-1-11-1-111-111-1-1−ii-111-111-1-1−i−i−i−iiiii1-1−ii−ii1-1−i−iii11-1-1−ii−ii1-1−ii1-1
χ1511-1111-11111-1-1-1-11-1-111-111-1-1−ii-111-111-1-1−i−i−i−iiiii-11i−ii−i-11ii−i−i-1-111−ii−ii-11i−i1-1
χ1611-1111-11111-1-1-1-11-1-111-111-1-1−ii-111-111-1-1−i−i−i−iiiii-11−iii−i1-1ii−i−i11-1-1i−ii−i-11−ii-11
χ17222222222222222-2-22222-2-2-2-20022-2-2-2-2-2-200000000000000000000000022-2-2000000
χ18222222222222222-2-22222-2-2-2-20022-2-2-2-2-2-2000000000000000000000000-2-222000000
χ192222-1222-1-1-12-1-1-122-12-1222-1-122-1-1-12-1-1-1-12-1-1-12-1-1-122002200-1-1-1-100000000-1-10000
χ202222-1222-1-1-12-1-1-122-12-1222-1-122-1-1-12-1-1-1-12-1-1-12-1-1-1-2-200-2-200111100000000110000
χ212222-1222-1-1-12-1-1-122-12-1222-1-1-2-2-1-1-12-1-1-1-1-2111-21112200-2-200111100000000-1-10000
χ222222-1222-1-1-12-1-1-122-12-1222-1-1-2-2-1-1-12-1-1-1-1-2111-2111-2-2002200-1-1-1-100000000110000
χ23222-1222-12-1-1-12-1-1222-12-1-1-12222-1-12-1-1-1-1-1-12-1-1-12-1-1002200220000-1-1-1-1000000-1-100
χ24222-1222-12-1-1-12-1-1222-12-1-1-12222-1-12-1-1-1-1-1-12-1-1-12-1-100-2-200-2-2000011110000001100
χ25222-1222-12-1-1-12-1-1222-12-1-1-122-2-2-1-12-1-1-1-1-11-2111-211002200-2-200001111000000-1-100
χ26222-1222-12-1-1-12-1-1222-12-1-1-122-2-2-1-12-1-1-1-1-11-2111-21100-2-200220000-1-1-1-10000001100
χ2722-2222-22222-2-2-2-2-22-222-2-2-22200-22-22-2-2220000000000000000000000002i−2i−2i2i000000
χ2822-2222-22222-2-2-2-2-22-222-2-2-22200-22-22-2-222000000000000000000000000−2i2i2i−2i000000
χ2922-22-12-22-1-1-1-21112-212-1-222112i−2i1-1-1-2-1-1112i−i−i−i−2iiii2-2002i−2i00−i−iii00000000-110000
χ3022-22-12-22-1-1-1-21112-212-1-222112i−2i1-1-1-2-1-1112i−i−i−i−2iiii-2200−2i2i00ii−i−i000000001-10000
χ3122-22-12-22-1-1-1-21112-212-1-22211−2i2i1-1-1-2-1-111−2iiii2i−i−i−i2-200−2i2i00ii−i−i00000000-110000
χ3222-22-12-22-1-1-1-21112-212-1-22211−2i2i1-1-1-2-1-111−2iiii2i−i−i−i-22002i−2i00−i−iii000000001-10000
χ3322-2-122-2-12-1-11-2112-2-2-121-1-1-2-22i−2i1-121-1-111−i2i−i−ii−2iii002i−2i002-20000-1-111000000−ii00
χ3422-2-122-2-12-1-11-2112-2-2-121-1-1-2-22i−2i1-121-1-111−i2i−i−ii−2iii00−2i2i00-22000011-1-1000000i−i00
χ3522-2-122-2-12-1-11-2112-2-2-121-1-1-2-2−2i2i1-121-1-111i−2iii−i2i−i−i002i−2i00-22000011-1-1000000−ii00
χ3622-2-122-2-12-1-11-2112-2-2-121-1-1-2-2−2i2i1-121-1-111i−2iii−i2i−i−i00−2i2i002-20000-1-111000000i−i00
χ3744444-4-44444444400-4-4-4-4000000-4-40000000000000000000000000000000000000000
χ384444-2444-2-2-24-2-2-2-4-4-24-24-4-42200-2-22-422220000000000000000000000000000000000
χ394444-2-4-44-2-2-24-2-2-2002-42-4000000220000000000000000000000i6−i6i6−i600000000000000
χ404444-2-4-44-2-2-24-2-2-2002-42-4000000220000000000000000000000−i6i6−i6i600000000000000
χ41444-2444-24-2-2-24-2-2-4-44-24-222-4-400-2-2-4222220000000000000000000000000000000000
χ42444-24-4-4-24-2-2-24-2-200-42-4200000022000000000000000000000000006−66−60000000000
χ43444-24-4-4-24-2-2-24-2-200-42-420000002200000000000000000000000000−66−660000000000
χ44444-2-244-2-211-2-21144-2-2-2-2-2-2-2-24411-2-21111-2-211-2-21100000000000000000000000000
χ45444-2-244-2-211-2-21144-2-2-2-2-2-2-2-2-4-411-2-2111122-1-122-1-100000000000000000000000000
χ46444-2-244-2-211-2-211-4-4-2-2-2-22222001122-1-1-1-1003-3003-300000000000000000000000000
χ47444-2-244-2-211-2-211-4-4-2-2-2-22222001122-1-1-1-100-3300-3300000000000000000000000000
χ4844-444-444444-4-4-4-4004-4-440000004-40000000000000000000000000000000000000000
χ4944-44-24-44-2-2-2-4222-4424-2-4-4-4-2-2002-22422-2-20000000000000000000000000000000000
χ5044-44-2-444-2-2-2-422200-2-424000000-2200000000000000000000006−6−6600000000000000
χ5144-44-2-444-2-2-2-422200-2-424000000-220000000000000000000000−666−600000000000000
χ5244-4-244-4-24-2-22-422-44-4-2422244002-2-4-222-2-20000000000000000000000000000000000
χ5344-4-24-44-24-2-22-4220042-4-2000000-22000000000000000000000000006−6−660000000000
χ5444-4-24-44-24-2-22-4220042-4-2000000-2200000000000000000000000000−666−60000000000
χ5544-4-2-24-4-2-21122-1-14-42-2-22-2-2224i−4i-11-2211-1-1−2i−2iii2i2i−i−i00000000000000000000000000
χ5644-4-2-24-4-2-21122-1-14-42-2-22-2-222−4i4i-11-2211-1-12i2i−i−i−2i−2iii00000000000000000000000000
χ5744-4-2-24-4-2-21122-1-1-442-2-2222-2-200-112-2-1-111003i−3i00−3i3i00000000000000000000000000
χ5844-4-2-24-4-2-21122-1-1-442-2-2222-2-200-112-2-1-11100−3i3i003i−3i00000000000000000000000000
χ59888-4-4-8-8-4-422-4-422004444000000-2-20000000000000000000000000000000000000000
χ6088-8-4-4-88-4-42244-2-200-444-40000002-20000000000000000000000000000000000000000
χ618-808800-8-88-80000000000000000000000000000000000000000000000000000000000
χ628-808-400-84-4400000000000026−260000000026−260000000000000000000000000000000000
χ638-808-400-84-44000000000000−262600000000−26260000000000000000000000000000000000
χ648-80-48004-8-44000000000026−260000000026−26000000000000000000000000000000000000
χ658-80-48004-8-440000000000−262600000000−2626000000000000000000000000000000000000
χ668-80-4-400442-2006-600000026−2626−26000000−66−660000000000000000000000000000000000
χ678-80-4-400442-2006-6000000−2626−26260000006−66−60000000000000000000000000000000000
χ688-80-4-400442-200-6600000026−26−2626000000−666−60000000000000000000000000000000000
χ698-80-4-400442-200-66000000−262626−260000006−6−660000000000000000000000000000000000

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