Finite Group Databasebeta

← Group #11797935

Character table — Group #11797935

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size112222222224444444444444888888888888888121212121212121216161616161624242424242424242424242424242424484872727272
order122334466121236668812121212122424688122424242424242424242424448824242424242424242424244466121212121616484848481212441616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1
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
χ51111111111111111111111111-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1
χ61111111111111111111111111-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ71111111111111111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111
χ81111111111111111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-111-1-1
χ911-1111-111-1-11-11-1-1111-1-1-1-1-1-1i−i1ii−i−i11-111-1-1i−ii−iii−i−iiii−i−i−i1-11-111-1-1i−ii−iii−i−i1-1i−i1-1
χ1011-1111-111-1-11-11-1-1111-1-1-1-1-1-1i−i1ii−i−i11-111-1-1i−ii−iii−i−iiii−i−i−i1-1-1111-1-1i−i−ii−i−iii-11−ii-11
χ1111-1111-111-1-11-11-1-1111-1-1-1-1-1-1i−i1ii−i−i11-111-1-1−ii−ii−i−iiiiii−i−i−i-111-1-1-111−iii−iii−i−i1-1−ii-11
χ1211-1111-111-1-11-11-1-1111-1-1-1-1-1-1i−i1ii−i−i11-111-1-1−ii−ii−i−iiiiii−i−i−i-11-11-1-111−ii−ii−i−iii-11i−i1-1
χ1311-1111-111-1-11-11-1-1111-1-1-1-1-1-1−ii1−i−iii11-111-1-1i−ii−iii−i−i−i−i−iiii-111-1-1-111i−i−ii−i−iii1-1i−i-11
χ1411-1111-111-1-11-11-1-1111-1-1-1-1-1-1−ii1−i−iii11-111-1-1i−ii−iii−i−i−i−i−iiii-11-11-1-111i−ii−iii−i−i-11−ii1-1
χ1511-1111-111-1-11-11-1-1111-1-1-1-1-1-1−ii1−i−iii11-111-1-1−ii−ii−i−iii−i−i−iiii1-11-111-1-1−ii−ii−i−iii1-1−ii1-1
χ1611-1111-111-1-11-11-1-1111-1-1-1-1-1-1−ii1−i−iii11-111-1-1−ii−ii−i−iii−i−i−iiii1-1-1111-1-1−iii−iii−i−i-11i−i-11
χ17222222222222222-2-222222-2-220020000-2-2-2-2-2-2-222-2-2-2-2-2-20000000000000022000000000000
χ18222222222222222-2-222222-2-220020000-2-2-2-2-2-2-2-2-222222200000000000000-2-2000000000000
χ192222-122-12-1-1-12-1-122-122-1-122-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-12-1-12-1-12200-1-1-1-1-1-1000000000000
χ202222-122-12-1-1-12-1-122-122-1-122-122-1-1-1-1-12-1-1-1-1-1-1-2-2-2-211112-1-12-1-1-2-200111111000000000000
χ212222-122-12-1-1-12-1-122-122-1-122-1-2-2-111112-1-1-1-1-1-12222-1-1-1-1-211-211-2-2001111-1-1000000000000
χ222222-122-12-1-1-12-1-122-122-1-122-1-2-2-111112-1-1-1-1-1-1-2-2-2-21111-211-2112200-1-1-1-111000000000000
χ232222-122-12-1-1-12-1-1-2-2-122-1-1-2-2-100-1−i3i3−i3i3-211111122-2-211110−i3i30−i3i30000−i3i3−i3i3-1-1000000000000
χ242222-122-12-1-1-12-1-1-2-2-122-1-1-2-2-100-1−i3i3−i3i3-2111111-2-222-1-1-1-10−i3i30−i3i30000i3−i3i3−i311000000000000
χ252222-122-12-1-1-12-1-1-2-2-122-1-1-2-2-100-1i3−i3i3−i3-211111122-2-211110i3−i30i3−i30000i3−i3i3−i3-1-1000000000000
χ262222-122-12-1-1-12-1-1-2-2-122-1-1-2-2-100-1i3−i3i3−i3-2111111-2-222-1-1-1-10i3−i30i3−i30000−i3i3−i3i311000000000000
χ27222-12222-122-1-1-12222-1-1-1-1-1-1-122-12222-122-1-1-1-100000000-1-1-1-1-1-1002200000022-1-1-1-1-1-10000
χ28222-12222-122-1-1-12222-1-1-1-1-1-1-122-12222-122-1-1-1-100000000-1-1-1-1-1-100-2-2000000-2-21111110000
χ29222-12222-122-1-1-12222-1-1-1-1-1-1-1-2-2-1-2-2-2-2-122-1-1-1-1000000001111110022000000-2-21111-1-10000
χ30222-12222-122-1-1-12222-1-1-1-1-1-1-1-2-2-1-2-2-2-2-122-1-1-1-10000000011111100-2-200000022-1-1-1-1110000
χ3122-2222-222-2-22-22-22-222-2-2-222-20020000-2-22-2-2222i−2i−2i2i−2i−2i2i2i000000000000002i−2i000000000000
χ3222-2222-222-2-22-22-22-222-2-2-222-20020000-2-22-2-222−2i2i2i−2i2i2i−2i−2i00000000000000−2i2i000000000000
χ3322-22-12-2-1211-1-2-112-2-12-21122100-13−3−33-21-111-1-12i−2i−2i2iii−i−i03−30−330000−i3i3i3−i3−ii000000000000
χ3422-22-12-2-1211-1-2-112-2-12-21122100-13−3−33-21-111-1-1−2i2i2i−2i−i−iii03−30−330000i3−i3−i3i3i−i000000000000
χ3522-22-12-2-1211-1-2-112-2-12-21122100-1−333−3-21-111-1-12i−2i−2i2iii−i−i0−3303−30000i3−i3−i3i3−ii000000000000
χ3622-22-12-2-1211-1-2-112-2-12-21122100-1−333−3-21-111-1-1−2i2i2i−2i−i−iii0−3303−30000−i3i3i3−i3i−i000000000000
χ3722-22-12-2-1211-1-2-11-22-12-211-2-212i−2i-1−i−iii2-11-1-1112i−2i2i−2i−i−iii2i−i−i−2iii2-200-1-111−ii000000000000
χ3822-22-12-2-1211-1-2-11-22-12-211-2-212i−2i-1−i−iii2-11-1-111−2i2i−2i2iii−i−i2i−i−i−2iii-220011-1-1i−i000000000000
χ3922-22-12-2-1211-1-2-11-22-12-211-2-21−2i2i-1ii−i−i2-11-1-1112i−2i2i−2i−i−iii−2iii2i−i−i-220011-1-1−ii000000000000
χ4022-22-12-2-1211-1-2-11-22-12-211-2-21−2i2i-1ii−i−i2-11-1-111−2i2i−2i2iii−i−i−2iii2i−i−i2-200-1-111i−i000000000000
χ4122-2-122-22-1-2-2-11-1-2-222-11111112i−2i-12i2i−2i−2i-12-2-1-11100000000−i−i−iiii002-20000002i−2i−i−iii-110000
χ4222-2-122-22-1-2-2-11-1-2-222-11111112i−2i-12i2i−2i−2i-12-2-1-11100000000−i−i−iiii00-22000000−2i2iii−i−i1-10000
χ4322-2-122-22-1-2-2-11-1-2-222-1111111−2i2i-1−2i−2i2i2i-12-2-1-11100000000iii−i−i−i002-2000000−2i2iii−i−i-110000
χ4422-2-122-22-1-2-2-11-1-2-222-1111111−2i2i-1−2i−2i2i2i-12-2-1-11100000000iii−i−i−i00-220000002i−2i−i−iii1-10000
χ4544444-4-444-4-4444400-4-4-4-4-400400-400000000000000000000000000000000000000000000000
χ464444-2-4-4-2422-24-2-2002-4-42200-200200000000000000023−2323−230000000000000000000000000000
χ474444-2-4-4-2422-24-2-2002-4-42200-2002000000000000000−2323−23230000000000000000000000000000
χ48444-24444-244-2-2-24-4-44-2-2-2-222-200-200002-4-42222000000000000000000000000000000000000
χ49444-24-4-44-2-4-4-2-2-2400-4222200-200200000000000000000000000000000000000006−66−6000000
χ50444-24-4-44-2-4-4-2-2-2400-4222200-20020000000000000000000000000000000000000−66−66000000
χ51444-2-244-2-2-2-21-21-244-2-2-211-2-21441-2-2-2-2-2-2-2111100000000-211-2110000000000000000000000
χ52444-2-244-2-2-2-21-21-244-2-2-211-2-21-4-412222-2-2-21111000000002-1-12-1-10000000000000000000000
χ53444-2-244-2-2-2-21-21-2-4-4-2-2-211221001−2i32i3−2i32i3222-1-1-1-1000000000i3−i30i3−i30000000000000000000000
χ54444-2-244-2-2-2-21-21-2-4-4-2-2-2112210012i3−2i32i3−2i3222-1-1-1-1000000000−i3i30−i3i30000000000000000000000
χ5544-444-4444444-44-400-4-444400-400-400000000000000000000000000000000000000000000000
χ5644-44-2-44-24-2-2-2-4-22002-44-2-2002002000000000000000−2i32i32i3−2i30000000000000000000000000000
χ5744-44-2-44-24-2-2-2-4-22002-44-2-20020020000000000000002i3−2i3−2i32i30000000000000000000000000000
χ5844-4-244-44-2-4-4-22-2-44-44-2222-2-2200-200002-4422-2-2000000000000000000000000000000000000
χ5944-4-24-444-244-22-2-400-42-2-2-20020020000000000000000000000000000000000000i6−i6−i6i6000000
χ6044-4-24-444-244-22-2-400-42-2-2-20020020000000000000000000000000000000000000−i6i6i6−i6000000
χ6144-4-2-24-4-2-22212124-4-2-22-1-1-2-2-100123−23−232322-2-1-111000000000−3303−30000000000000000000000
χ6244-4-2-24-4-2-22212124-4-2-22-1-1-2-2-1001−232323−2322-2-1-1110000000003−30−330000000000000000000000
χ6344-4-2-24-4-2-2221212-44-2-22-1-122-14i−4i1−2i−2i2i2i-2-2211-1-100000000−2iii2i−i−i0000000000000000000000
χ6444-4-2-24-4-2-2221212-44-2-22-1-122-1−4i4i12i2i−2i−2i-2-2211-1-1000000002i−i−i−2iii0000000000000000000000
χ65888-4-4-8-8-4-4442-42-400444-2-200200-200000000000000000000000000000000000000000000000
χ6688-8-4-4-88-4-4-4-424240044-42200-200-200000000000000000000000000000000000000000000000
χ678-808800-8-80080-80000000000000000000000000000000000000000000000000000000000000
χ688-808-4004-843−43-40400000043−4300000000000000000000000000000000000000000000000000000
χ698-808-4004-8−4343-404000000−434300000000000000000000000000000000000000000000000000000
χ708-80-4800-8400-404000000002i6−2i600000000000002i6−2i6000000000000000000000000000000000000
χ718-80-4800-8400-40400000000−2i62i60000000000000−2i62i6000000000000000000000000000000000000
χ728-80-4-4004443−4320-2000000−23232i6−2i600000000000−3i23i2−i6i6000000000000000000000000000000000000
χ738-80-4-4004443−4320-2000000−2323−2i62i6000000000003i2−3i2i6−i6000000000000000000000000000000000000
χ748-80-4-40044−434320-200000023−232i6−2i6000000000003i2−3i2−i6i6000000000000000000000000000000000000
χ758-80-4-40044−434320-200000023−23−2i62i600000000000−3i23i2i6−i6000000000000000000000000000000000000

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