Finite Group Databasebeta

← Group #11922048

Character table — Group #11922048

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222266663333666666666618181818666612121212121212121212363636366666121212121212121212123636363688881616161616161616161648484848
order1222344666121212122244222264466612121212224422226446661212121222444444124412121212121212444436663121266612121212661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1
χ311111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1
χ411111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111
χ511-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i
χ611-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii
χ711-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii
χ811-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i
χ92222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000
χ102222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000
χ1122-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii0000
χ1222-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i0000
χ132-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-2200000000
χ142-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i30000
χ152-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i30000
χ162-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-200000000
χ172-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−330000
χ182-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−30000
χ19111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111
χ2011111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ2111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-111-1-1-11111-1-11111111-1-1111-1-1-1-111-1-1
χ2211111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-111-1-1-1111111-1-111111-1-1111-1-1-1-1-1-111
χ2311-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i-1-111-1−ii-111−i−iii-11−ii-1-111-1−ii-111−i−iii-11−ii11-1-11i−i1-1-1ii−i−i1-1i−i
χ2411-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii-1-111-1−ii-111−i−iii1-1i−i-1-111-1−ii-111−i−iii1-1i−i11-1-11i−i1-1-1ii−i−i-11−ii
χ2511-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii-1-111-1i−i-111ii−i−i-11i−i-1-111-1i−i-111ii−i−i-11i−i11-1-11−ii1-1-1−i−iii1-1−ii
χ2611-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i-1-111-1i−i-111ii−i−i1-1−ii-1-111-1i−i-111ii−i−i1-1−ii11-1-11−ii1-1-1−i−iii-11i−i
χ272222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000-2-2-2-21-2-211111110000-2-2-2-21-2-2111111100002222-122-1-1-1-1-1-1-10000
χ282222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000-2-2-2-2122111-1-1-1-10000-2-2-2-2122111-1-1-1-100002222-1-2-2-1-1-111110000
χ2922-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii0000-2-2221−2i2i1-1-1ii−i−i0000-2-2221−2i2i1-1-1ii−i−i000022-2-2-12i−2i-111−i−iii0000
χ3022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i0000-2-22212i−2i1-1-1−i−iii0000-2-22212i−2i1-1-1−i−iii000022-2-2-1−2i2i-111ii−i−i0000
χ312-22-2200-2-22000000002-22-2200-2-2200000000-22-22-20022-200000000-22-22-20022-2000000002-22-2200-2-2200000000
χ322-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i30000-22-22100-1-11i3−i3i3−i30000-22-22100-1-11i3−i3i3−i300002-22-2-10011-1−i3i3−i3i30000
χ332-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i30000-22-22100-1-11−i3i3−i3i30000-22-22100-1-11−i3i3−i3i300002-22-2-10011-1i3−i3i3−i30000
χ342-2-22200-22-2000000002-2-22200-22-200000000-222-2-2002-2200000000-222-2-2002-22000000002-2-22200-22-200000000
χ352-2-22-1001-113−3−3300002-2-22-1001-113−3−330000-222-2100-11-1−333−30000-222-2100-11-1−333−300002-2-22-1001-113−3−330000
χ362-2-22-1001-11−333−300002-2-22-1001-11−333−30000-222-2100-11-13−3−330000-222-2100-11-13−3−3300002-2-22-1001-11−333−30000
χ37222222222222222222222222222222222222000000000000000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3822222222222222-2-2-2-222222222222222-2-2-2-2000000000000000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3922222-2-2222-2-2-2-222-2-222222-2-2222-2-2-2-222-2-2000000000000000000000000000000000000-1-1-1-1-111-1-1-11111-1-111
χ4022222-2-2222-2-2-2-2-2-22222222-2-2222-2-2-2-2-2-222000000000000000000000000000000000000-1-1-1-1-111-1-1-1111111-1-1
χ4122-2-222i−2i2-2-22i2i−2i−2i2-22i−2i22-2-222i−2i2-2-22i2i−2i−2i2-22i−2i000000000000000000000000000000000000-1-111-1−ii-111−i−iii-11−ii
χ4222-2-222i−2i2-2-22i2i−2i−2i-22−2i2i22-2-222i−2i2-2-22i2i−2i−2i-22−2i2i000000000000000000000000000000000000-1-111-1−ii-111−i−iii1-1i−i
χ4322-2-22−2i2i2-2-2−2i−2i2i2i2-2−2i2i22-2-22−2i2i2-2-2−2i−2i2i2i2-2−2i2i000000000000000000000000000000000000-1-111-1i−i-111ii−i−i-11i−i
χ4422-2-22−2i2i2-2-2−2i−2i2i2i-222i−2i22-2-22−2i2i2-2-2−2i−2i2i2i-222i−2i000000000000000000000000000000000000-1-111-1i−i-111ii−i−i1-1−ii
χ454444-244-2-2-2-2-2-2-200004444-244-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-21-2-211111110000
χ464444-2-4-4-2-2-2222200004444-2-4-4-2-2-222220000000000000000000000000000000000000000-2-2-2-2122111-1-1-1-10000
χ4744-4-4-24i−4i-222−2i−2i2i2i000044-4-4-24i−4i-222−2i−2i2i2i0000000000000000000000000000000000000000-2-2221−2i2i1-1-1ii−i−i0000
χ4844-4-4-2−4i4i-2222i2i−2i−2i000044-4-4-2−4i4i-2222i2i−2i−2i0000000000000000000000000000000000000000-2-22212i−2i1-1-1−i−iii0000
χ494-44-4400-4-44000000004-44-4400-4-4400000000000000000000000000000000000000000000-22-22-20022-200000000
χ504-44-4-20022-2−2i32i3−2i32i300004-44-4-20022-2−2i32i3−2i32i30000000000000000000000000000000000000000-22-22100-1-11i3−i3i3−i30000
χ514-44-4-20022-22i3−2i32i3−2i300004-44-4-20022-22i3−2i32i3−2i30000000000000000000000000000000000000000-22-22100-1-11−i3i3−i3i30000
χ524-4-44400-44-4000000004-4-44400-44-400000000000000000000000000000000000000000000-222-2-2002-2200000000
χ534-4-44-2002-2223−23−232300004-4-44-2002-2223−23−23230000000000000000000000000000000000000000-222-2100-11-1−333−30000
χ544-4-44-2002-22−232323−2300004-4-44-2002-22−232323−230000000000000000000000000000000000000000-222-2100-11-13−3−330000
χ55333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ5633333333333333-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000000
χ5733333-3-3333-3-3-3-333-3-3-1-1-1-1-111-1-1-11111-1-11111111-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-1-11111-1-111000000000000000000
χ5833333-3-3333-3-3-3-3-3-333-1-1-1-1-111-1-1-1111111-1-111111-1-1111-1-1-1-1-1-111-1-1-1-1-111-1-1-1111111-1-1000000000000000000
χ5933-3-333i−3i3-3-33i3i−3i−3i3-33i−3i-1-111-1−ii-111−i−iii-11−ii11-1-11i−i1-1-1ii−i−i1-1i−i-1-111-1−ii-111−i−iii-11−ii000000000000000000
χ6033-3-333i−3i3-3-33i3i−3i−3i-33−3i3i-1-111-1−ii-111−i−iii1-1i−i11-1-11i−i1-1-1ii−i−i-11−ii-1-111-1−ii-111−i−iii1-1i−i000000000000000000
χ6133-3-33−3i3i3-3-3−3i−3i3i3i3-3−3i3i-1-111-1i−i-111ii−i−i-11i−i11-1-11−ii1-1-1−i−iii1-1−ii-1-111-1i−i-111ii−i−i-11i−i000000000000000000
χ6233-3-33−3i3i3-3-3−3i−3i3i3i-333i−3i-1-111-1i−i-111ii−i−i1-1−ii11-1-11−ii1-1-1−i−iii-11i−i-1-111-1i−i-111ii−i−i1-1−ii000000000000000000
χ636666-366-3-3-3-3-3-3-30000-2-2-2-21-2-2111111100002222-122-1-1-1-1-1-1-10000-2-2-2-21-2-211111110000000000000000000000
χ646666-3-6-6-3-3-333330000-2-2-2-2122111-1-1-1-100002222-1-2-2-1-1-111110000-2-2-2-2122111-1-1-1-10000000000000000000000
χ6566-6-6-36i−6i-333−3i−3i3i3i0000-2-2221−2i2i1-1-1ii−i−i000022-2-2-12i−2i-111−i−iii0000-2-2221−2i2i1-1-1ii−i−i0000000000000000000000
χ6666-6-6-3−6i6i-3333i3i−3i−3i0000-2-22212i−2i1-1-1−i−iii000022-2-2-1−2i2i-111ii−i−i0000-2-22212i−2i1-1-1−i−iii0000000000000000000000
χ676-66-6600-6-6600000000-22-22-20022-2000000002-22-2200-2-2200000000-22-22-20022-200000000000000000000000000
χ686-66-6-30033-3−3i33i3−3i33i30000-22-22100-1-11i3−i3i3−i300002-22-2-10011-1−i3i3−i3i30000-22-22100-1-11i3−i3i3−i30000000000000000000000
χ696-66-6-30033-33i3−3i33i3−3i30000-22-22100-1-11−i3i3−i3i300002-22-2-10011-1i3−i3i3−i30000-22-22100-1-11−i3i3−i3i30000000000000000000000
χ706-6-66600-66-600000000-222-2-2002-22000000002-2-22200-22-200000000-222-2-2002-2200000000000000000000000000
χ716-6-66-3003-3333−33−33330000-222-2100-11-1−333−300002-2-22-1001-113−3−330000-222-2100-11-1−333−30000000000000000000000
χ726-6-66-3003-33−333333−330000-222-2100-11-13−3−3300002-2-22-1001-11−333−30000-222-2100-11-13−3−330000000000000000000000
χ73333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111000000000000000000
χ7433333333333333-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1000000000000000000
χ7533333-3-3333-3-3-3-333-3-3-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-111-1-1-11111-1-11111111-1-1111-1-1-1-111-1-1000000000000000000
χ7633333-3-3333-3-3-3-3-3-333-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-111-1-1-1111111-1-111111-1-1111-1-1-1-1-1-111000000000000000000
χ7733-3-333i−3i3-3-33i3i−3i−3i3-33i−3i-1-111-1−ii-111−i−iii-11−ii-1-111-1−ii-111−i−iii-11−ii11-1-11i−i1-1-1ii−i−i1-1i−i000000000000000000
χ7833-3-333i−3i3-3-33i3i−3i−3i-33−3i3i-1-111-1−ii-111−i−iii1-1i−i-1-111-1−ii-111−i−iii1-1i−i11-1-11i−i1-1-1ii−i−i-11−ii000000000000000000
χ7933-3-33−3i3i3-3-3−3i−3i3i3i3-3−3i3i-1-111-1i−i-111ii−i−i-11i−i-1-111-1i−i-111ii−i−i-11i−i11-1-11−ii1-1-1−i−iii1-1−ii000000000000000000
χ8033-3-33−3i3i3-3-3−3i−3i3i3i-333i−3i-1-111-1i−i-111ii−i−i1-1−ii-1-111-1i−i-111ii−i−i1-1−ii11-1-11−ii1-1-1−i−iii-11i−i000000000000000000
χ816666-366-3-3-3-3-3-3-30000-2-2-2-21-2-211111110000-2-2-2-21-2-2111111100002222-122-1-1-1-1-1-1-10000000000000000000000
χ826666-3-6-6-3-3-333330000-2-2-2-2122111-1-1-1-10000-2-2-2-2122111-1-1-1-100002222-1-2-2-1-1-111110000000000000000000000
χ8366-6-6-36i−6i-333−3i−3i3i3i0000-2-2221−2i2i1-1-1ii−i−i0000-2-2221−2i2i1-1-1ii−i−i000022-2-2-12i−2i-111−i−iii0000000000000000000000
χ8466-6-6-3−6i6i-3333i3i−3i−3i0000-2-22212i−2i1-1-1−i−iii0000-2-22212i−2i1-1-1−i−iii000022-2-2-1−2i2i-111ii−i−i0000000000000000000000
χ856-66-6600-6-6600000000-22-22-20022-200000000-22-22-20022-2000000002-22-2200-2-2200000000000000000000000000
χ866-66-6-30033-3−3i33i3−3i33i30000-22-22100-1-11i3−i3i3−i30000-22-22100-1-11i3−i3i3−i300002-22-2-10011-1−i3i3−i3i30000000000000000000000
χ876-66-6-30033-33i3−3i33i3−3i30000-22-22100-1-11−i3i3−i3i30000-22-22100-1-11−i3i3−i3i300002-22-2-10011-1i3−i3i3−i30000000000000000000000
χ886-6-66600-66-600000000-222-2-2002-2200000000-222-2-2002-22000000002-2-22200-22-200000000000000000000000000
χ896-6-66-3003-3333−33−33330000-222-2100-11-1−333−30000-222-2100-11-1−333−300002-2-22-1001-113−3−330000000000000000000000
χ906-6-66-3003-33−333333−330000-222-2100-11-13−3−330000-222-2100-11-13−3−3300002-2-22-1001-11−333−30000000000000000000000

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