Finite Group Databasebeta

← Group #11797983

Character table — Group #11797983

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size112222222224444444444444888888888888888121212121212121216161616161624242424242424242424242424242424484872727272
order122334466121236668812121212122424688122424242424242424242424448824242424242424242424244466121212121616484848481212221616
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
χ911-1111-111-1-111-1-11-111-1-1-111-1i−i1ii−i−i1-1-111-1-1i−ii−iii−i−iiii−i−i−i1-1i−i11-1-1i−i1-111-1-1i−i1-1i−i
χ1011-1111-111-1-111-1-11-111-1-1-111-1i−i1ii−i−i1-1-111-1-1i−ii−iii−i−iiii−i−i−i1-1−ii11-1-1i−i-11-1-111−ii-11−ii
χ1111-1111-111-1-111-1-11-111-1-1-111-1i−i1ii−i−i1-1-111-1-1−ii−ii−i−iiiiii−i−i−i-11i−i-1-111−ii1-111-1-1i−i-11−ii
χ1211-1111-111-1-111-1-11-111-1-1-111-1i−i1ii−i−i1-1-111-1-1−ii−ii−i−iiiiii−i−i−i-11−ii-1-111−ii-11-1-111−ii1-1i−i
χ1311-1111-111-1-111-1-11-111-1-1-111-1−ii1−i−iii1-1-111-1-1i−ii−iii−i−i−i−i−iiii-11i−i-1-111i−i-11-1-111i−i1-1−ii
χ1411-1111-111-1-111-1-11-111-1-1-111-1−ii1−i−iii1-1-111-1-1i−ii−iii−i−i−i−i−iiii-11−ii-1-111i−i1-111-1-1−ii-11i−i
χ1511-1111-111-1-111-1-11-111-1-1-111-1−ii1−i−iii1-1-111-1-1−ii−ii−i−iii−i−i−iiii1-1i−i11-1-1−ii-11-1-111i−i-11i−i
χ1611-1111-111-1-111-1-11-111-1-1-111-1−ii1−i−iii1-1-111-1-1−ii−ii−i−iii−i−i−iiii1-1−ii11-1-1−ii1-111-1-1−ii1-1−ii
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
χ192222-1222-1-1-1-1-1-12222-12-1-122-122-1-1-1-1-1-12-1-1-1-1-12222-1-1-1-12-1-12-1-12200-1-1-1-1-1-1000000000000
χ202222-1222-1-1-1-1-1-12222-12-1-122-122-1-1-1-1-1-12-1-1-1-1-1-2-2-2-211112-1-12-1-1-2-200111111000000000000
χ212222-1222-1-1-1-1-1-12222-12-1-122-1-2-2-11111-12-1-1-1-1-12222-1-1-1-1-211-211-2-2001111-1-1000000000000
χ222222-1222-1-1-1-1-1-12222-12-1-122-1-2-2-11111-12-1-1-1-1-1-2-2-2-21111-211-2112200-1-1-1-111000000000000
χ232222-1222-1-1-1-1-1-12-2-22-12-1-1-2-2-100-1−i3i3−i3i31-21111122-2-211110−i3i30−i3i30000−i3i3−i3i3-1-1000000000000
χ242222-1222-1-1-1-1-1-12-2-22-12-1-1-2-2-100-1−i3i3−i3i31-211111-2-222-1-1-1-10−i3i30−i3i30000i3−i3i3−i311000000000000
χ252222-1222-1-1-1-1-1-12-2-22-12-1-1-2-2-100-1i3−i3i3−i31-21111122-2-211110i3−i30i3−i30000i3−i3i3−i3-1-1000000000000
χ262222-1222-1-1-1-1-1-12-2-22-12-1-1-2-2-100-1i3−i3i3−i31-211111-2-222-1-1-1-10i3−i30i3−i30000−i3i3−i3i311000000000000
χ27222-1222-1222-1-12-122-12-1-1-1-1-1-122-122222-12-1-1-1-100000000-1-1-1-1-1-1002200000022-1-1-1-1-1-10000
χ28222-1222-1222-1-12-122-12-1-1-1-1-1-122-122222-12-1-1-1-100000000-1-1-1-1-1-100-2-2000000-2-21111110000
χ29222-1222-1222-1-12-122-12-1-1-1-1-1-1-2-2-1-2-2-2-22-12-1-1-1-1000000001111110022000000-2-21111-1-10000
χ30222-1222-1222-1-12-122-12-1-1-1-1-1-1-2-2-1-2-2-2-22-12-1-1-1-10000000011111100-2-200000022-1-1-1-1110000
χ3122-2222-222-2-222-2-2-2222-2-2-2-2-2-20020000-222-2-2222i−2i−2i2i−2i−2i2i2i000000000000002i−2i000000000000
χ3222-2222-222-2-222-2-2-2222-2-2-2-2-2-20020000-222-2-222−2i2i2i−2i2i2i−2i−2i00000000000000−2i2i000000000000
χ3322-22-12-22-111-1-11-22-22-1-2112212i−2i-1−i−iii-1-21-1-1112i−2i2i−2i−i−iii2i−i−i−2iii2-200-1-111−ii000000000000
χ3422-22-12-22-111-1-11-22-22-1-2112212i−2i-1−i−iii-1-21-1-111−2i2i−2i2iii−i−i2i−i−i−2iii-220011-1-1i−i000000000000
χ3522-22-12-22-111-1-11-22-22-1-211221−2i2i-1ii−i−i-1-21-1-1112i−2i2i−2i−i−iii−2iii2i−i−i-220011-1-1−ii000000000000
χ3622-22-12-22-111-1-11-22-22-1-211221−2i2i-1ii−i−i-1-21-1-111−2i2i−2i2iii−i−i−2iii2i−i−i2-200-1-111i−i000000000000
χ3722-22-12-22-111-1-11-2-222-1-211-2-2100-13−3−3312-111-1-12i−2i−2i2iii−i−i03−30−330000−i3i3i3−i3−ii000000000000
χ3822-22-12-22-111-1-11-2-222-1-211-2-2100-13−3−3312-111-1-1−2i2i2i−2i−i−iii03−30−330000i3−i3−i3i3i−i000000000000
χ3922-22-12-22-111-1-11-2-222-1-211-2-2100-1−333−312-111-1-12i−2i−2i2iii−i−i0−3303−30000i3−i3−i3i3−ii000000000000
χ4022-22-12-22-111-1-11-2-222-1-211-2-2100-1−333−312-111-1-1−2i2i2i−2i−i−iii0−3303−30000−i3i3i3−i3i−i000000000000
χ4122-2-122-2-12-2-2-1-1-212-2-12111-1-112i−2i-12i2i−2i−2i21-2-1-11100000000−i−i−iiii002i−2i0000002-2-1-111−ii0000
χ4222-2-122-2-12-2-2-1-1-212-2-12111-1-112i−2i-12i2i−2i−2i21-2-1-11100000000−i−i−iiii00−2i2i000000-2211-1-1i−i0000
χ4322-2-122-2-12-2-2-1-1-212-2-12111-1-11−2i2i-1−2i−2i2i2i21-2-1-11100000000iii−i−i−i002i−2i000000-2211-1-1−ii0000
χ4422-2-122-2-12-2-2-1-1-212-2-12111-1-11−2i2i-1−2i−2i2i2i21-2-1-11100000000iii−i−i−i00−2i2i0000002-2-1-111i−i0000
χ4544444-4-444-4-4444400-4-4-4-4-400400-400000000000000000000000000000000000000000000000
χ464444-2-4-44-222-2-2-2400-42-42200-200200000000000000023−2323−230000000000000000000000000000
χ474444-2-4-44-222-2-2-2400-42-42200-2002000000000000000−2323−23230000000000000000000000000000
χ48444-2444-2444-2-24-2-4-4-24-2-2-222-200-20000-42-42222000000000000000000000000000000000000
χ49444-24-4-4-24-4-4-2-24-2002-422200-200200000000000000000000000000000000000006−66−6000000
χ50444-24-4-4-24-4-4-2-24-2002-422200-20020000000000000000000000000000000000000−66−66000000
χ51444-2-244-2-2-2-211-2-244-2-2-211-2-21441-2-2-2-2-2-2-2111100000000-211-2110000000000000000000000
χ52444-2-244-2-2-2-211-2-244-2-2-211-2-21-4-412222-2-2-21111000000002-1-12-1-10000000000000000000000
χ53444-2-244-2-2-2-211-2-2-4-4-2-2-211221001−2i32i3−2i32i3222-1-1-1-1000000000i3−i30i3−i30000000000000000000000
χ54444-2-244-2-2-2-211-2-2-4-4-2-2-2112210012i3−2i32i3−2i3222-1-1-1-1000000000−i3i30−i3i30000000000000000000000
χ5544-444-44444444-4-400-4-444400-400-400000000000000000000000000000000000000000000000
χ5644-44-2-444-2-2-2-2-22-400-424-2-2002002000000000000000−2i32i32i3−2i30000000000000000000000000000
χ5744-44-2-444-2-2-2-2-22-400-424-2-20020020000000000000002i3−2i3−2i32i30000000000000000000000000000
χ5844-4-244-4-24-4-4-2-2-42-44-2422222200-20000-4-2422-2-2000000000000000000000000000000000000
χ5944-4-24-44-2444-2-2-42002-4-2-2-200200200000000000000000000000000000000000006−6−66000000
χ6044-4-24-44-2444-2-2-42002-4-2-2-20020020000000000000000000000000000000000000−666−6000000
χ6144-4-2-24-4-2-22211224-4-2-22-1-1-2-2-14i−4i1−2i−2i2i2i-22211-1-100000000−2iii2i−i−i0000000000000000000000
χ6244-4-2-24-4-2-22211224-4-2-22-1-1-2-2-1−4i4i12i2i−2i−2i-22211-1-1000000002i−i−i−2iii0000000000000000000000
χ6344-4-2-24-4-2-2221122-44-2-22-1-122-100123−23−23232-2-2-1-111000000000−3303−30000000000000000000000
χ6444-4-2-24-4-2-2221122-44-2-22-1-122-1001−232323−232-2-2-1-1110000000003−30−330000000000000000000000
χ65888-4-4-8-8-4-44422-4-400444-2-200200-200000000000000000000000000000000000000000000000
χ6688-8-4-4-88-4-4-4-422440044-42200-200-200000000000000000000000000000000000000000000000
χ678-808800-8-8008-800000000000000000000000000000000000000000000000000000000000000
χ688-808-400-8443−43-44000000043−4300000000000000000000000000000000000000000000000000000
χ698-808-400-84−4343-440000000−434300000000000000000000000000000000000000000000000000000
χ708-80-48004-800-4400000000026−260000000000026−2600000000000000000000000000000000000000
χ718-80-48004-800-44000000000−262600000000000−262600000000000000000000000000000000000000
χ728-80-4-4004443−432-20000000−232326−2600000000000−6632−32000000000000000000000000000000000000
χ738-80-4-4004443−432-20000000−2323−2626000000000006−6−3232000000000000000000000000000000000000
χ748-80-4-40044−43432-2000000023−2326−2600000000000−66−3232000000000000000000000000000000000000
χ758-80-4-40044−43432-2000000023−23−2626000000000006−632−32000000000000000000000000000000000000

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