Finite Group Databasebeta

← Group #11797922

Character table — Group #11797922

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size112222222224444444444444888888888888888121212121212121216161616161624242424242424242424242424242424484872727272
order12233446666366668812121212242444121212121212242424242424244488121212121212121212122444121212121616242448484848612881616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-111-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-11-1-11-1-1-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-11111-1-111-1-1
χ911-1111-1-1-11111-1-1-1-11-111-1-1-1i−iii−i−i-1111-111-1-1i−ii−iii−i−iiii−i−i−i11-1-111-1-1i−ii−iii−i−i1-1i−i1-1
χ1011-1111-1-1-11111-1-1-1-11-111-1-1-1i−iii−i−i-1111-111-1-1i−ii−iii−i−iiii−i−i−i-11-1111-1-1−iii−i−i−iii-11−ii-11
χ1111-1111-1-1-11111-1-1-1-11-111-1-1-1i−iii−i−i-1111-111-1-1−ii−ii−i−iiiiii−i−i−i1-11-1-1-111i−i−iiii−i−i1-1−ii-11
χ1211-1111-1-1-11111-1-1-1-11-111-1-1-1i−iii−i−i-1111-111-1-1−ii−ii−i−iiiiii−i−i−i-1-111-1-111−ii−ii−i−iii-11i−i1-1
χ1311-1111-1-1-11111-1-1-1-11-111-1-1-1−ii−i−iii-1111-111-1-1i−ii−iii−i−i−i−i−iiii1-11-1-1-111−iii−i−i−iii1-1i−i-11
χ1411-1111-1-1-11111-1-1-1-11-111-1-1-1−ii−i−iii-1111-111-1-1i−ii−iii−i−i−i−i−iiii-1-111-1-111i−ii−iii−i−i-11−ii1-1
χ1511-1111-1-1-11111-1-1-1-11-111-1-1-1−ii−i−iii-1111-111-1-1−ii−ii−i−iii−i−i−iiii11-1-111-1-1−ii−ii−i−iii1-1−ii1-1
χ1611-1111-1-1-11111-1-1-1-11-111-1-1-1−ii−i−iii-1111-111-1-1−ii−ii−i−iii−i−i−iiii-11-1111-1-1i−i−iiii−i−i-11i−i-11
χ172222222222222222-2-22222-2-200000022-2-2-2-2-2-2-222-2-222220000000000000000-2-20000000000
χ182222222222222222-2-22222-2-200000022-2-2-2-2-2-2-2-2-222-2-2-2-20000000000000000220000000000
χ192222-12222-12-1-1-1-1-122-1-122-1-1222222-1-12-12-1-1-1-100000000-1-1-1-1-1-1200200002200-1-1-1-1-1-10000
χ202222-12222-12-1-1-1-1-122-1-122-1-1222222-1-12-12-1-1-1-100000000-1-1-1-1-1-1-200-20000-2-2001111110000
χ212222-12222-12-1-1-1-1-122-1-122-1-1-2-2-2-2-2-2-1-12-12-1-1-1-10000000011111120020000-2-2001111-1-10000
χ222222-12222-12-1-1-1-1-122-1-122-1-1-2-2-2-2-2-2-1-12-12-1-1-1-100000000111111-200-200002200-1-1-1-1110000
χ23222-1222-1-12-1-1-12-1-12222-1-12222-1-1-1-1-1-1-12-1-1-1-1-12222-1-1-1-12-1-12-1-10220-1-1-1-100-1-10000000000
χ24222-1222-1-12-1-1-12-1-12222-1-12222-1-1-1-1-1-1-12-1-1-1-1-1-2-2-2-211112-1-12-1-10-2-20111100110000000000
χ25222-1222-1-12-1-1-12-1-12222-1-122-2-21111-1-1-12-1-1-1-1-12222-1-1-1-1-211-2110-2-20111100-1-10000000000
χ26222-1222-1-12-1-1-12-1-12222-1-122-2-21111-1-1-12-1-1-1-1-1-2-2-2-21111-211-2110220-1-1-1-100110000000000
χ27222-1222-1-12-1-1-12-1-1-2-222-1-1-2-200−i3i3−i3i3-1-11-21111122-2-2-1-1-1-10−i3i30−i3i30000−i3i3−i3i300110000000000
χ28222-1222-1-12-1-1-12-1-1-2-222-1-1-2-200−i3i3−i3i3-1-11-211111-2-22211110−i3i30−i3i30000i3−i3i3−i300-1-10000000000
χ29222-1222-1-12-1-1-12-1-1-2-222-1-1-2-200i3−i3i3−i3-1-11-21111122-2-2-1-1-1-10i3−i30i3−i30000i3−i3i3−i300110000000000
χ30222-1222-1-12-1-1-12-1-1-2-222-1-1-2-200i3−i3i3−i3-1-11-211111-2-22211110i3−i30i3−i30000−i3i3−i3i300-1-10000000000
χ3122-2222-2-2-22222-2-2-22-2-222-222000000-22-2-22-2-2222i−2i−2i2i2i2i−2i−2i0000000000000000−2i2i0000000000
χ3222-2222-2-2-22222-2-2-22-2-222-222000000-22-2-22-2-222−2i2i2i−2i−2i−2i2i2i00000000000000002i−2i0000000000
χ3322-22-12-2-2-2-12-1-1111-221-12-2112i−2i2i2i−2i−2i1-12-1-2-1-11100000000−i−i−iiii200-200002i−2i00−i−iii-110000
χ3422-22-12-2-2-2-12-1-1111-221-12-2112i−2i2i2i−2i−2i1-12-1-2-1-11100000000−i−i−iiii-20020000−2i2i00ii−i−i1-10000
χ3522-22-12-2-2-2-12-1-1111-221-12-211−2i2i−2i−2i2i2i1-12-1-2-1-11100000000iii−i−i−i200-20000−2i2i00ii−i−i-110000
χ3622-22-12-2-2-2-12-1-1111-221-12-211−2i2i−2i−2i2i2i1-12-1-2-1-11100000000iii−i−i−i-200200002i−2i00−i−iii1-10000
χ3722-2-122-2112-1-1-1-2112-2-22-1122003−3−331-11-2-111-1-12i−2i−2i2i−i−iii03−30−330000−i3i3i3−i300i−i0000000000
χ3822-2-122-2112-1-1-1-2112-2-22-1122003−3−331-11-2-111-1-1−2i2i2i−2iii−i−i03−30−330000i3−i3−i3i300−ii0000000000
χ3922-2-122-2112-1-1-1-2112-2-22-112200−333−31-11-2-111-1-12i−2i−2i2i−i−iii0−3303−30000i3−i3−i3i300i−i0000000000
χ4022-2-122-2112-1-1-1-2112-2-22-112200−333−31-11-2-111-1-1−2i2i2i−2iii−i−i0−3303−30000−i3i3i3−i300−ii0000000000
χ4122-2-122-2112-1-1-1-211-22-22-11-2-22i−2i−i−iii1-1-121-1-1112i−2i2i−2i−i−iii2i−i−i−2iii02-20-1-11100−ii0000000000
χ4222-2-122-2112-1-1-1-211-22-22-11-2-22i−2i−i−iii1-1-121-1-111−2i2i−2i2iii−i−i2i−i−i−2iii0-22011-1-100i−i0000000000
χ4322-2-122-2112-1-1-1-211-22-22-11-2-2−2i2iii−i−i1-1-121-1-1112i−2i2i−2i−i−iii−2iii2i−i−i0-22011-1-100−ii0000000000
χ4422-2-122-2112-1-1-1-211-22-22-11-2-2−2i2iii−i−i1-1-121-1-111−2i2i−2i2iii−i−i−2iii2i−i−i02-20-1-11100i−i0000000000
χ4544444-4-444444444400-4-4-4-400000000-4-40000000000000000000000000000000000000000000
χ464444-24444-24-2-2-2-2-2-4-4-2-24422000000-2-2-42-42222000000000000000000000000000000000000
χ474444-2-4-444-24-2-2-2-2-20022-4-40000000022000000000000000000000000000000000i6−i6i6−i6000000
χ484444-2-4-444-24-2-2-2-2-20022-4-40000000022000000000000000000000000000000000−i6i6−i6i6000000
χ49444-24-4-4-2-24-2-2-24-2-200-4-422000000002200000000000−2i32i3−2i32i30000000000000000000000000000
χ50444-24-4-4-2-24-2-2-24-2-200-4-4220000000022000000000002i3−2i32i3−2i30000000000000000000000000000
χ51444-2-244-2-2-2-211-21144-2-2-2-2-2-244-2-2-2-211-2-2-2111100000000-211-2110000000000000000000000
χ52444-2-244-2-2-2-211-21144-2-2-2-2-2-2-4-4222211-2-2-21111000000002-1-12-1-10000000000000000000000
χ53444-2-244-2-2-2-211-211-4-4-2-2-2-22200−2i32i3−2i32i311222-1-1-1-1000000000i3−i30i3−i30000000000000000000000
χ54444-2-244-2-2-2-211-211-4-4-2-2-2-222002i3−2i32i3−2i311222-1-1-1-1000000000−i3i30−i3i30000000000000000000000
χ5544-444-44-4-44444-4-4-4004-4-44000000004-40000000000000000000000000000000000000000000
χ5644-44-24-4-4-4-24-2-22224-42-24-4-2-20000002-2-42422-2-2000000000000000000000000000000000000
χ5744-44-2-44-4-4-24-2-222200-22-4400000000-220000000000000000000000000000000006−6−66000000
χ5844-44-2-44-4-4-24-2-222200-22-4400000000-22000000000000000000000000000000000−666−6000000
χ5944-4-24-44224-2-2-2-422004-42-200000000-220000000000023−23−23230000000000000000000000000000
χ6044-4-24-44224-2-2-2-422004-42-200000000-2200000000000−232323−230000000000000000000000000000
χ6144-4-2-24-422-2-2112-1-14-42-2-22-2-20023−23−2323-1122-2-1-111000000000−3303−30000000000000000000000
χ6244-4-2-24-422-2-2112-1-14-42-2-22-2-200−232323−23-1122-2-1-1110000000003−30−330000000000000000000000
χ6344-4-2-24-422-2-2112-1-1-442-2-22224i−4i−2i−2i2i2i-11-2-2211-1-100000000−2iii2i−i−i0000000000000000000000
χ6444-4-2-24-422-2-2112-1-1-442-2-2222−4i4i2i2i−2i−2i-11-2-2211-1-1000000002i−i−i−2iii0000000000000000000000
χ65888-4-4-8-8-4-4-4-422-42200444400000000-2-20000000000000000000000000000000000000000000
χ6688-8-4-4-8844-4-4224-2-200-444-4000000002-20000000000000000000000000000000000000000000
χ678-80880000-8-88-800000000000000000000000000000000000000000000000000000000000000
χ688-808-400004-8-4400000000026−26000000000000026−26000000000000000000000000000000000000
χ698-808-400004-8-44000000000−26260000000000000−2626000000000000000000000000000000000000
χ708-80-4800−4i34i3-84-440−4i34i300000000000000000000000000000000000000000000000000000000000
χ718-80-48004i3−4i3-84-4404i3−4i300000000000000000000000000000000000000000000000000000000000
χ728-80-4-400−4i34i3442-202i3−2i300000026−2600000000000−3i23i2−66000000000000000000000000000000000000
χ738-80-4-400−4i34i3442-202i3−2i3000000−2626000000000003i2−3i26−6000000000000000000000000000000000000
χ748-80-4-4004i3−4i3442-20−2i32i300000026−26000000000003i2−3i2−66000000000000000000000000000000000000
χ758-80-4-4004i3−4i3442-20−2i32i3000000−262600000000000−3i23i26−6000000000000000000000000000000000000

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