Finite Group Databasebeta

← Group #11797980

Character table — Group #11797980

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size112222222224444444444444888888888888888121212121212121216161616161624242424242424242424242424242424484872727272
order1223344666636666881212121224242266661212242424242424244488121212126666662444121212121616242448484848612881616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1
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
χ5111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
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
χ8111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1
χ911-1111-111-1-11-1-1-111-1-111-1111-111-1-1-111-1-111-1-1i−ii−iii−i−i1-111-1-11-1i−iii−i−i1-1i−i11-1-11-1i−ii−i
χ1011-1111-111-1-11-1-1-111-1-111-1111-111-1-1-111-1-111-1-1i−ii−iii−i−i1-111-1-1-11i−iii−i−i-11i−i-1-111-11−ii−ii
χ1111-1111-111-1-11-1-1-111-1-111-1111-111-1-1-111-1-111-1-1−ii−ii−i−iii1-111-1-11-1−ii−i−iii1-1−ii11-1-11-1−ii−ii
χ1211-1111-111-1-11-1-1-111-1-111-1111-111-1-1-111-1-111-1-1−ii−ii−i−iii1-111-1-1-11−ii−i−iii-11−ii-1-111-11i−ii−i
χ1311-1111-111-1-11-1-1-111-1-111-111-11-1-111-111-1-111-1-1i−ii−iii−i−i-11-1-1111-1−ii−i−iii-11i−i-1-1111-1i−i−ii
χ1411-1111-111-1-11-1-1-111-1-111-111-11-1-111-111-1-111-1-1i−ii−iii−i−i-11-1-111-11−ii−i−iii1-1i−i11-1-1-11−iii−i
χ1511-1111-111-1-11-1-1-111-1-111-111-11-1-111-111-1-111-1-1−ii−ii−i−iii-11-1-1111-1i−iii−i−i-11−ii-1-1111-1−iii−i
χ1611-1111-111-1-11-1-1-111-1-111-111-11-1-111-111-1-111-1-1−ii−ii−i−iii-11-1-111-11i−iii−i−i1-1−ii11-1-1-11i−i−ii
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
χ192222-1222-122-1-1-1-1-122-12-12-1-1222222-1-122-1-1-1-1-100000000-1-1-1-1-1-1220000002200-1-1-1-1-1-10000
χ202222-1222-122-1-1-1-1-122-12-12-1-1222222-1-122-1-1-1-1-100000000-1-1-1-1-1-1-2-2000000-2-2001111110000
χ212222-1222-122-1-1-1-1-122-12-12-1-1-2-2-2-2-2-2-1-122-1-1-1-1-10000000011111122000000-2-2001111-1-10000
χ222222-1222-122-1-1-1-1-122-12-12-1-1-2-2-2-2-2-2-1-122-1-1-1-1-100000000111111-2-20000002200-1-1-1-1110000
χ23222-1222-12-1-1-12-1-1-1222-12-12222-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-122-1-1-1-10022-1-1-1-100-1-10000000000
χ24222-1222-12-1-1-12-1-1-1222-12-12222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2111122-1-1-1-100-2-2111100110000000000
χ25222-1222-12-1-1-12-1-1-1222-12-122-2-21111-1-1-1-12-1-1-1-12222-1-1-1-1-2-2111100-2-2111100-1-10000000000
χ26222-1222-12-1-1-12-1-1-1222-12-122-2-21111-1-1-1-12-1-1-1-1-2-2-2-21111-2-211110022-1-1-1-100110000000000
χ27222-1222-12-1-1-12-1-1-1-2-22-12-1-2-200−i3i3−i3i3-1-111-2111122-2-2-1-1-1-100−i3i3−i3i30000−i3i3−i3i300110000000000
χ28222-1222-12-1-1-12-1-1-1-2-22-12-1-2-200−i3i3−i3i3-1-111-21111-2-222111100−i3i3−i3i30000i3−i3i3−i300-1-10000000000
χ29222-1222-12-1-1-12-1-1-1-2-22-12-1-2-200i3−i3i3−i3-1-111-2111122-2-2-1-1-1-100i3−i3i3−i30000i3−i3i3−i300110000000000
χ30222-1222-12-1-1-12-1-1-1-2-22-12-1-2-200i3−i3i3−i3-1-111-21111-2-222111100i3−i3i3−i30000−i3i3−i3i300-1-10000000000
χ3122-2222-222-2-22-2-2-22-22-222-2-2-2000000-22-222-2-2222i−2i−2i2i2i2i−2i−2i0000000000000000−2i2i0000000000
χ3222-2222-222-2-22-2-2-22-22-222-2-2-2000000-22-222-2-222−2i2i2i−2i−2i−2i2i2i00000000000000002i−2i0000000000
χ3322-22-12-22-1-2-2-1111-12-212-1-2-1-12-222-2-21-12-21-1-11100000000-11-1-1112-20000002-200-1-111-110000
χ3422-22-12-22-1-2-2-1111-12-212-1-2-1-12-222-2-21-12-21-1-11100000000-11-1-111-22000000-220011-1-11-10000
χ3522-22-12-22-1-2-2-1111-12-212-1-2-1-1-22-2-2221-12-21-1-111000000001-111-1-12-2000000-220011-1-1-110000
χ3622-22-12-22-1-2-2-1111-12-212-1-2-1-1-22-2-2221-12-21-1-111000000001-111-1-1-220000002-200-1-1111-10000
χ3722-2-122-2-1211-1-211-12-2-2-121222-2-1-1111-1-11-2-1-1112i−2i2i−2i−i−iii2-2-1-111002i−2i−i−iii00−ii0000000000
χ3822-2-122-2-1211-1-211-12-2-2-121222-2-1-1111-1-11-2-1-111−2i2i−2i2iii−i−i2-2-1-11100−2i2iii−i−i00i−i0000000000
χ3922-2-122-2-1211-1-211-12-2-2-12122-2211-1-11-1-11-2-1-1112i−2i2i−2i−i−iii-2211-1-100−2i2iii−i−i00−ii0000000000
χ4022-2-122-2-1211-1-211-12-2-2-12122-2211-1-11-1-11-2-1-111−2i2i−2i2iii−i−i-2211-1-1002i−2i−i−iii00i−i0000000000
χ4122-2-122-2-1211-1-211-1-22-2-121-2-200−i3i3i3−i31-11-1211-1-12i−2i−2i2i−i−iii00−i3i3i3−i300003−3−3300i−i0000000000
χ4222-2-122-2-1211-1-211-1-22-2-121-2-200−i3i3i3−i31-11-1211-1-1−2i2i2i−2iii−i−i00−i3i3i3−i30000−333−300−ii0000000000
χ4322-2-122-2-1211-1-211-1-22-2-121-2-200i3−i3−i3i31-11-1211-1-12i−2i−2i2i−i−iii00i3−i3−i3i30000−333−300i−i0000000000
χ4422-2-122-2-1211-1-211-1-22-2-121-2-200i3−i3−i3i31-11-1211-1-1−2i2i2i−2iii−i−i00i3−i3−i3i300003−3−3300−ii0000000000
χ4544444-4-444444444400-4-4-4-400000000-4-40000000000000000000000000000000000000000000
χ464444-2444-244-2-2-2-2-2-4-4-24-2422000000-2-2-4-422222000000000000000000000000000000000000
χ474444-2-4-44-244-2-2-2-2-2002-42-40000000022000000000000000000000000000000000i6−i6i6−i6000000
χ484444-2-4-44-244-2-2-2-2-2002-42-40000000022000000000000000000000000000000000−i6i6−i6i6000000
χ49444-24-4-4-24-2-2-24-2-2-200-42-42000000002200000000000−2i32i3−2i32i30000000000000000000000000000
χ50444-24-4-4-24-2-2-24-2-2-200-42-420000000022000000000002i3−2i32i3−2i30000000000000000000000000000
χ51444-2-244-2-2-2-21-211144-2-2-2-2-2-244-2-2-2-211-2-2-2111100000000-2-211110000000000000000000000
χ52444-2-244-2-2-2-21-211144-2-2-2-2-2-2-4-4222211-2-2-211110000000022-1-1-1-10000000000000000000000
χ53444-2-244-2-2-2-21-2111-4-4-2-2-2-22200−2i32i3−2i32i311222-1-1-1-10000000000i3−i3i3−i30000000000000000000000
χ54444-2-244-2-2-2-21-2111-4-4-2-2-2-222002i3−2i32i3−2i311222-1-1-1-10000000000−i3i3−i3i30000000000000000000000
χ5544-444-4444-4-44-4-4-44004-4-44000000004-40000000000000000000000000000000000000000000
χ5644-44-24-44-2-4-4-2222-2-4424-2-4220000002-2-44-222-2-2000000000000000000000000000000000000
χ5744-44-2-444-2-4-4-2222-200-2-42400000000-22000000000000000000000000000000000i6−i6−i6i6000000
χ5844-44-2-444-2-4-4-2222-200-2-42400000000-22000000000000000000000000000000000−i6i6i6−i6000000
χ5944-4-24-44-2422-2-422-20042-4-200000000-220000000000023−23−23230000000000000000000000000000
χ6044-4-24-44-2422-2-422-20042-4-200000000-2200000000000−232323−230000000000000000000000000000
χ6144-4-2-24-4-2-22212-1-114-42-2-22-2-24-4-2-222-11-22211-1-100000000-2211-1-10000000000000000000000
χ6244-4-2-24-4-2-22212-1-114-42-2-22-2-2-4422-2-2-11-22211-1-1000000002-2-1-1110000000000000000000000
χ6344-4-2-24-4-2-22212-1-11-442-2-222200−2i32i32i3−2i3-112-2-2-1-1110000000000i3−i3−i3i30000000000000000000000
χ6444-4-2-24-4-2-22212-1-11-442-2-2222002i3−2i3−2i32i3-112-2-2-1-1110000000000−i3i3i3−i30000000000000000000000
χ65888-4-4-8-8-4-4-4-42-422200444400000000-2-20000000000000000000000000000000000000000000
χ6688-8-4-4-88-4-44424-2-2200-444-4000000002-20000000000000000000000000000000000000000000
χ678-808800-8-8008000-800000000000000000000000000000000000000000000000000000000000
χ688-808-400-8400-400040000002i6−2i6000000000002i6−2i600000000000000000000000000000000000000
χ698-808-400-8400-40004000000−2i62i600000000000−2i62i600000000000000000000000000000000000000
χ708-80-48004-8−4i34i3-40−4i34i3400000000000000000000000000000000000000000000000000000000000
χ718-80-48004-84i3−4i3-404i3−4i3400000000000000000000000000000000000000000000000000000000000
χ728-80-4-40044−4i34i3202i3−2i3-20000002i6−2i600000000000−i6i632−32000000000000000000000000000000000000
χ738-80-4-40044−4i34i3202i3−2i3-2000000−2i62i600000000000i6−i6−3232000000000000000000000000000000000000
χ748-80-4-400444i3−4i320−2i32i3-20000002i6−2i600000000000−i6i6−3232000000000000000000000000000000000000
χ758-80-4-400444i3−4i320−2i32i3-2000000−2i62i600000000000i6−i632−32000000000000000000000000000000000000

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