Finite Group Databasebeta

← Group #11872996

Character table — Group #11872996

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666663446668812121212242424244444121212124121212121212121224242424242422444488121212122424242412121212122466668121212242424441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-111-1-1-1-111111-11-1-1-1-1111111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-1-111-1-1-1111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1111-1-11-1-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-111-1-11-1-1-111-1111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-1-1111-1-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-11111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-111111-1-1111-1-111-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-111-1-11-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-11111-1-111-1-1-11-1-111-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-1-1111-1-1-111111-111-1-111-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-111-1-11111111-1-111-1111-1-1-1-1-11-1-1-1-1111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-111-1-111-1-1111-11111-1-1-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000002-200002222000000000000000000-200-2200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000-22000022-2-20000000000000000002002-200000
χ19222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-2000000002-20000-2-222000000000000000000-2002-200000
χ20222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-200000000-220000-2-2-2-2000000000000000000200-2200000
χ2122222-122-12-12-12-122-1-1-1222-1-12-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-1-1-122000022-1-100-1-1-1-12-1-1-1-120-1-1-1-10000000000000
χ2222222-122-12-12-12-122-1-1-1222-1-12-1-1-1-1-2-2-2-211112-1-1-1-122-1-122-1-1-1-1-2-20000-2-2110011112-1-1-1-1-2011110000000000000
χ2322222-122-12-12-12-122-1-1-1-2-22-1-1211112222-1-1-1-1-2-1-11122-1-1-2-21111220000-2-2-1-1001111-2-1-111-20-1-1110000000000000
χ2422222-122-12-12-12-122-1-1-1-2-22-1-121111-2-2-2-21111-2-1-11122-1-1-2-21111-2-20000221100-1-1-1-1-2-1-1112011-1-10000000000000
χ2522222-122-12-12-12-1-2-2-1-1-1222-1-12-1-1-1-12222-1-1-1-1-21111-2-2-1-122-1-1-1-1-2-2000022-1-100-1-1-1-1-21111-2011110000000000000
χ2622222-122-12-12-12-1-2-2-1-1-1222-1-12-1-1-1-1-2-2-2-21111-21111-2-2-1-122-1-1-1-1220000-2-211001111-2111120-1-1-1-10000000000000
χ2722222-122-12-12-12-1-2-2-1-1-1-2-22-1-1211112222-1-1-1-1211-1-1-2-2-1-1-2-21111-2-20000-2-2-1-1001111211-1-12011-1-10000000000000
χ2822222-122-12-12-12-1-2-2-1-1-1-2-22-1-121111-2-2-2-21111211-1-1-2-2-1-1-2-21111220000221100-1-1-1-1211-1-1-20-1-1110000000000000
χ292222-12222-12-12-1-122-1-1-122-122-122220000000022222-1-1-1-1-1-1-1-1-1-10022220000-1-10000-1-1-1-1-10200002-1-1-1-1-10000-100
χ302222-12222-12-12-1-122-1-1-122-122-122220000000022222-1-1-1-1-1-1-1-1-1-100-2-2-2-20000110000-1-1-1-1-10-20000-2111110000100
χ312222-12222-12-12-1-122-1-1-1-2-2-122-1-2-2-2-200000000-222-2-2-1-1-1-11111110022220000-1-100001-1-1110-20000-2-1-1-1110000100
χ322222-12222-12-12-1-122-1-1-1-2-2-122-1-2-2-2-200000000-222-2-2-1-1-1-111111100-2-2-2-200001100001-1-1110200002111-1-10000-100
χ332222-12222-12-12-1-1-2-2-1-1-122-122-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-10022-2-20000-1-10000111110-20000211-1-1-10000100
χ342222-12222-12-12-1-1-2-2-1-1-122-122-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-100-2-222000011000011111020000-2-1-11110000-100
χ352222-12222-12-12-1-1-2-2-1-1-1-2-2-122-1-2-2-2-2000000002-2-22211-1-11111110022-2-20000-1-10000-111-1-1020000-211-1110000-100
χ362222-12222-12-12-1-1-2-2-1-1-1-2-2-122-1-2-2-2-2000000002-2-22211-1-111111100-2-2220000110000-111-1-10-200002-1-11-1-10000100
χ372-22-2222-22-2-22-2-222i−2i-22-200-22-2200002i−2i2i−2i2i2i−2i−2i02i−2i002i−2i-220000002-20000002i−2i00000002i−2i00002-2000000000000000
χ382-22-2222-22-2-22-2-222i−2i-22-200-22-220000−2i2i−2i2i−2i−2i2i2i02i−2i002i−2i-22000000-22000000−2i2i00000002i−2i0000-22000000000000000
χ392-22-2222-22-2-22-2-22−2i2i-22-200-22-2200002i−2i2i−2i2i2i−2i−2i0−2i2i00−2i2i-22000000-220000002i−2i0000000−2i2i0000-22000000000000000
χ402-22-2222-22-2-22-2-22−2i2i-22-200-22-220000−2i2i−2i2i−2i−2i2i2i0−2i2i00−2i2i-220000002-2000000−2i2i0000000−2i2i00002-2000000000000000
χ412-22-222-222-2-22-2-2200-22-2002-22-200002i−2i−2i2i−2i−2i2i2i00000002-200000000002-2002i−2i0000000000000000002-2000002i−2i000
χ422-22-222-222-2-22-2-2200-22-2002-22-200002i−2i−2i2i−2i−2i2i2i00000002-20000000000-22002i−2i000000000000000000-2200000−2i2i000
χ432-22-222-222-2-22-2-2200-22-2002-22-20000−2i2i2i−2i2i2i−2i−2i00000002-200000000002-200−2i2i0000000000000000002-200000−2i2i000
χ442-22-222-222-2-22-2-2200-22-2002-22-20000−2i2i2i−2i2i2i−2i−2i00000002-20000000000-2200−2i2i000000000000000000-22000002i−2i000
χ452-22-22-12-2-1-2121-2-12i−2i1-1100-2-112−i3−i3i3i32i−2i2i−2i−i−iii0−ii3−32i−2i1-100−i3−i3i3i32-2000000−ii0033−3−30−ii3−300-11−i3i30000000000000
χ462-22-22-12-2-1-2121-2-12i−2i1-1100-2-112−i3−i3i3i3−2i2i−2i2iii−i−i0−ii3−32i−2i1-100−i3−i3i3i3-22000000i−i00−3−3330−ii3−3001-1i3−i30000000000000
χ472-22-22-12-2-1-2121-2-12i−2i1-1100-2-112i3i3−i3−i32i−2i2i−2i−i−iii0−ii−332i−2i1-100i3i3−i3−i32-2000000−ii00−3−3330−ii−3300-11i3−i30000000000000
χ482-22-22-12-2-1-2121-2-12i−2i1-1100-2-112i3i3−i3−i3−2i2i−2i2iii−i−i0−ii−332i−2i1-100i3i3−i3−i3-22000000i−i0033−3−30−ii−33001-1−i3i30000000000000
χ492-22-22-12-2-1-2121-2-1−2i2i1-1100-2-112−i3−i3i3i32i−2i2i−2i−i−iii0i−i−33−2i2i1-100−i3−i3i3i3-22000000−ii0033−3−30i−i−33001-1i3−i30000000000000
χ502-22-22-12-2-1-2121-2-1−2i2i1-1100-2-112−i3−i3i3i3−2i2i−2i2iii−i−i0i−i−33−2i2i1-100−i3−i3i3i32-2000000i−i00−3−3330i−i−3300-11−i3i30000000000000
χ512-22-22-12-2-1-2121-2-1−2i2i1-1100-2-112i3i3−i3−i32i−2i2i−2i−i−iii0i−i3−3−2i2i1-100i3i3−i3−i3-22000000−ii00−3−3330i−i3−3001-1−i3i30000000000000
χ522-22-22-12-2-1-2121-2-1−2i2i1-1100-2-112i3i3−i3−i3−2i2i−2i2iii−i−i0i−i3−3−2i2i1-100i3i3−i3−i32-2000000i−i0033−3−30i−i3−300-11i3−i30000000000000
χ5344444-2-4-4-24-24-24-200-2-2-200-422-4000044-4-4222200000002200000000000000-2-2000000000000000000000000000000
χ5444444-2-4-4-24-24-24-200-2-2-200-422-40000-4-444-2-2-2-20000000220000000000000022000000000000000000000000000000
χ554444-24-4-44-24-24-2-200-2-2-2002-4-42000000000000000000022000000004-4000000-2-20000000000000000002000000000
χ564444-24-4-44-24-24-2-200-2-2-2002-4-4200000000000000000002200000000-4400000022000000000000000000-2000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000-211110000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-4-2-222-2-21122-1-1-1-10000000000000000211-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000002-1-1-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2222200000000422-2-2221122-1-1-1-10000000000000000-2-1-1110000000000000000000
χ6144-4-44400-444-4-4-44004-4-422−22000022−2222−220000000000000000022−2222−2222−220000000000000000000000000000000000000000
χ6244-4-44400-444-4-4-44004-4-4−22220000−2222−222200000000000000000−2222−2222−22220000000000000000000000000000000000000000
χ6344-4-44-20024-2-42-4-200-22222−220000−22−22000023−2323−2300000000022−22−22−220000000000006−66−6000000000000000000000000
χ6444-4-44-20024-2-42-4-200-22222−220000−22−220000−2323−232300000000022−22−22−22000000000000−66−66000000000000000000000000
χ6544-4-44-20024-2-42-4-200-222−222200002−22−2000023−2323−23000000000−22222−22−2000000000000−66−66000000000000000000000000
χ6644-4-44-20024-2-42-4-200-222−222200002−22−20000−2323−2323000000000−22222−22−20000000000006−66−6000000000000000000000000
χ6744-4-4-2400-4-242-42-200-22222−22000022−2222−2200000000000000000−22−22−220000000000−2i32i30000000000000000000i6−i60000000
χ6844-4-4-2400-4-242-42-200-22222−22000022−2222−2200000000000000000−22−22−2200000000002i3−2i30000000000000000000−i6i60000000
χ6944-4-4-2400-4-242-42-200-222−22220000−2222−2222000000000000000002−22−22−20000000000−2i32i30000000000000000000−i6i60000000
χ7044-4-4-2400-4-242-42-200-222−22220000−2222−2222000000000000000002−22−22−200000000002i3−2i30000000000000000000i6−i60000000
χ714-44-44-2-44-2-4242-4-2002-220042-2-400004i−4i−4i4i2i2i−2i−2i0000000-2200000000000000−2i2i000000000000000000000000000000
χ724-44-44-2-44-2-4242-4-2002-220042-2-40000−4i4i4i−4i−2i−2i2i2i0000000-22000000000000002i−2i000000000000000000000000000000
χ734-44-4-244-442-4-2-42-24i−4i2-220024-4-200000000000004i−4i00−2i2i2-200000000000000000000000−2i2i000000000000000000000
χ744-44-4-244-442-4-2-42-2−4i4i2-220024-4-20000000000000−4i4i002i−2i2-2000000000000000000000002i−2i000000000000000000000
χ754-44-4-24-4442-4-2-42-2002-2200-2-4420000000000000000000-2200000000004-40000000000000000000000-220000000000
χ764-44-4-24-4442-4-2-42-2002-2200-2-4420000000000000000000-220000000000-4400000000000000000000002-20000000000
χ774-44-4-2-24-4-222-22214i−4i-11-1002-22-2−2i3−2i32i32i3000000000−2i2i23−23−2i2i-1100i3i3−i3−i300000000000000000i−i−330000000000000000000
χ784-44-4-2-24-4-222-22214i−4i-11-1002-22-22i32i3−2i3−2i3000000000−2i2i−2323−2i2i-1100−i3−i3i3i300000000000000000i−i3−30000000000000000000
χ794-44-4-2-24-4-222-2221−4i4i-11-1002-22-2−2i3−2i32i32i30000000002i−2i−23232i−2i-1100i3i3−i3−i300000000000000000−ii3−30000000000000000000
χ804-44-4-2-24-4-222-2221−4i4i-11-1002-22-22i32i3−2i3−2i30000000002i−2i23−232i−2i-1100−i3−i3i3i300000000000000000−ii−330000000000000000000
χ814-4-444400-4-4-4-444400-4-4400000000000000000000000000000000000000022−22000022−22−2222000000000000000000000000
χ824-4-444400-4-4-4-444400-4-44000000000000000000000000000000000000000−22220000−222222−22000000000000000000000000
χ834-4-444-2002-42-4-24-20022-2000000i6−i6−i6i60000−2i32i32i3−2i300000000000i6−i6−i6i6000000−222200002−2−22000000000000000000000000
χ844-4-444-2002-42-4-24-20022-2000000i6−i6−i6i600002i3−2i3−2i32i300000000000i6−i6−i6i600000022−220000−222−2000000000000000000000000
χ854-4-444-2002-42-4-24-20022-2000000−i6i6i6−i60000−2i32i32i3−2i300000000000−i6i6i6−i600000022−220000−222−2000000000000000000000000
χ864-4-444-2002-42-4-24-20022-2000000−i6i6i6−i600002i3−2i3−2i32i300000000000−i6i6i6−i6000000−222200002−2−22000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4004-4-44442002-2-242−420000−2222−222200000000000000000−22222−22−20000000000000000000000000000000000000000
χ8988-8-8-4-4004-4-44442002-2-2−4242000022−2222−220000000000000000022−22−22−220000000000000000000000000000000000000000
χ908-88-8-4-4-88-444-444200-22-200-44-4400000000000000000002-20000000000000000000000000000000000000000000000
χ918-8-88-4800-84-848-4-40044-40000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004444-4-4200-2-220000002i6−2i6−2i62i60000000000000000000−i6i6i6−i60000000000000000000000000000000000000000
χ938-8-88-4-4004444-4-4200-2-22000000−2i62i62i6−2i60000000000000000000i6−i6−i6i60000000000000000000000000000000000000000

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