Finite Group Databasebeta

← Group #11884630

Character table — Group #11884630

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order122233446666663446661212121212124444121212121212121212121212122222466668812121212121212121212244668121224242424448861248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111111111-11-111-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1111-1-1-1-111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-11
χ41111111111111111111111111111-1-1111-1-1-1-111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-11-1111-1-1-1-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111111-11-1-11-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1111-1-1-1-1111111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-1111-1-1-1-1111111-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-11111-11
χ9111111111111111-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-1111-111-111111111-1-11-111-1-11-1-11-1-1-1-111-1-111111-1-1-1
χ10111111111111111-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-1111-111-11111-1-111-1-11-111-1-1-1-111-11-1-1-1-111-1-1-1-1-1111
χ11111111111111111-1-1111-1-1111111-11-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-11-1-111-1111-1-11111-1-1-1-111-111-1
χ12111111111111111-1-1111-1-1111111-11-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-11-1111-1-11111-1-11-1-11
χ13111111111111111-1-1111-1-11111-1-11-1-1-1-111-1-1-1-1-1-111-11-1-11-1-1-1-111-1-1111-111-1-111-1-11-11111-1-1-1-1-1-11-111
χ14111111111111111-1-1111-1-11111-1-11-1-1-1-111-1-1-1-1-1-111-11-1-11-1-1-1-1-1-1-1-1111-111-1-1-111-11111-1-1111111-11-1-1
χ15111111111111111-1-1111-1-11111-1-1-11-1-1-1-1-111-1-1-1-111-11111111111-1-111-11-1-111-1-11-11-1-1-111-1-111-1-1-11-11
χ16111111111111111-1-1111-1-11111-1-1-11-1-1-1-1-111-1-1-1-111-111111111-1-1-1-111-11-1-1111-1-1-111-1-1-1-111-1-1111-11-1
χ17222222-2-222222222-2222-2-2-2-2-2-2220022-2000022-2-2-2-2-2200-200000022-2-2000000000-22000000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-20022-2000022-2-2-2-22-2002000000-2-2220000000002-2000000000000000
χ19222222-2-22222222-2222222-2-2-2-22200-2-220000-2-222-2-2-2-20020000002222000000000-2-2000000000000000
χ20222222-2-22222222-2222222-2-2-2-2-2-200-2-220000-2-222-2-22200-2000000-2-2-2-200000000022000000000000000
χ2122222-12222-1-12-1-122-1-1-1-1-1-1-12222222-12-1-1-1-1-1-1-1-1-1-122222-1-1-1-100-1-1-1-122-1-1-1-1020-1-10-1-1000000000000
χ2222222-12222-1-12-1-122-1-1-1-1-1-1-12222-2-22-121111-1-1-1-1-1-122-2-22111100-1-1-1-1-2-211110-20-1-1011000000000000
χ2322222-12222-1-12-1-122-1-1-1-1-1-1-122-2-2222-12-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111100111122-1-1-1-10-2011011000000000000
χ2422222-12222-1-12-1-122-1-1-1-1-1-1-122-2-2-2-22-121111-1-1-1-1-1-1-2-222-2-1-1-1-1001111-2-21111020110-1-1000000000000
χ2522222-12222-1-12-1-1-2-2-1-1-111-1-122222-2-21-2-1-1111111-1-12-222-2-1-1-1-100-1-1112-2-1-1110-20-11011000000000000
χ2622222-12222-1-12-1-1-2-2-1-1-111-1-12222-22-21-211-1-11111-1-12-2-2-2-2111100-1-111-2211-1-1020-110-1-1000000000000
χ2722222-12222-1-12-1-1-2-2-1-1-111-1-122-2-22-2-21-2-1-1111111-1-1-22-2-2211110011-1-12-2-1-1110201-10-1-1000000000000
χ2822222-12222-1-12-1-1-2-2-1-1-111-1-122-2-2-22-21-211-1-11111-1-1-22222-1-1-1-10011-1-1-2211-1-10-201-1011000000000000
χ2922222-1-2-222-1-12-1-12-2-1-1-11111-2-222002-1-2−i3i3−i3i3-1-11111-2200-2−i3−i3i3i300-1-11100−i3i3−i3i30001-10−i3i3000000000000
χ3022222-1-2-222-1-12-1-12-2-1-1-11111-2-222002-1-2i3−i3i3−i3-1-11111-2200-2i3i3−i3−i300-1-11100i3−i3i3−i30001-10i3−i3000000000000
χ3122222-1-2-222-1-12-1-12-2-1-1-11111-2-2-2-2002-1-2−i3i3−i3i3-1-111112-2002i3i3−i3−i30011-1-100−i3i3−i3i3000-110i3−i3000000000000
χ3222222-1-2-222-1-12-1-12-2-1-1-11111-2-2-2-2002-1-2i3−i3i3−i3-1-111112-2002−i3−i3i3i30011-1-100i3−i3i3−i3000-110−i3i3000000000000
χ3322222-1-2-222-1-12-1-1-22-1-1-1-1-111-2-22200-212−i3i3i3−i311-1-111-2-2002−i3−i3i3i300-1-1-1-100−i3i3i3−i3000110i3−i3000000000000
χ3422222-1-2-222-1-12-1-1-22-1-1-1-1-111-2-22200-212i3−i3−i3i311-1-111-2-2002i3i3−i3−i300-1-1-1-100i3−i3−i3i3000110−i3i3000000000000
χ3522222-1-2-222-1-12-1-1-22-1-1-1-1-111-2-2-2-200-212−i3i3i3−i311-1-1112200-2i3i3−i3−i300111100−i3i3i3−i3000-1-10−i3i3000000000000
χ3622222-1-2-222-1-12-1-1-22-1-1-1-1-111-2-2-2-200-212i3−i3−i3i311-1-1112200-2−i3−i3i3i300111100i3−i3−i3i3000-1-10i3−i3000000000000
χ372222-1222-1-122-12-122-1-1-12222-1-10022-12-12222-1-1-1-1-1-1000000000220000-1-1-1-1-1-120200200-1-1-1-10000-1-100
χ382222-1222-1-122-12-122-1-1-12222-1-10022-12-12222-1-1-1-1-1-1000000000-2-20000-1-1-1-1-1-1-20-200-200111100001100
χ392222-1222-1-122-12-122-1-1-12222-1-100-2-2-12-1-2-2-2-2-1-1-1-1-1-1000000000220000111111-20-200200-1-1-1-100001100
χ402222-1222-1-122-12-122-1-1-12222-1-100-2-2-12-1-2-2-2-2-1-1-1-1-1-1000000000-2-2000011111120200-20011110000-1-100
χ412222-1222-1-122-12-1-2-2-1-1-1-2-222-1-1002-21-2122-2-21111-1-1000000000220000-11-1-11120-200-200-1-1110000-1100
χ422222-1222-1-122-12-1-2-2-1-1-1-2-222-1-1002-21-2122-2-21111-1-1000000000-2-20000-11-1-111-2020020011-1-100001-100
χ432222-1222-1-122-12-1-2-2-1-1-1-2-222-1-100-221-21-2-2221111-1-10000000002200001-111-1-1-20200-200-1-11100001-100
χ442222-1222-1-122-12-1-2-2-1-1-1-2-222-1-100-221-21-2-2221111-1-1000000000-2-200001-111-1-120-20020011-1-10000-1100
χ452-2-2222-22-2-2-2-222200-2-22002-22-20000000000000002-2002-202-22-22-20000000000000000002-2002-2000000
χ462-2-2222-22-2-2-2-222200-2-22002-22-20000000000000002-2002-202-22-2-22000000000000000000-2200-22000000
χ472-2-2222-22-2-2-2-222200-2-22002-22-20000000000000002-200-220-22-222-20000000000000000002-200-22000000
χ482-2-2222-22-2-2-2-222200-2-22002-22-20000000000000002-200-220-22-22-22000000000000000000-22002-2000000
χ494444-24-4-4-2-244-24-24-4-2-2-2-4-4-4-4220000-2420000-2-2222200000000000000000000000000000000000000000
χ504444-24-4-4-2-244-24-2-44-2-2-244-4-42200002-4-2000022-2-22200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20044-2-2-2-2-2-2-2111111000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-200-4-4-2-2-2222211111100000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-411122-2-2-2-2004-4222-2-222-1-1-1-111000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-411122-2-2-2-200-4422222-2-2-1-1-1-1110000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-41112222220000-2-22−2i32i3−2i32i311-1-1-1-100000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-41112222220000-2-222i3−2i32i3−2i311-1-1-1-100000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-44111-2-22222000022-2−2i32i32i3−2i3-1-111-1-100000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-44111-2-22222000022-22i3−2i3−2i32i3-1-111-1-100000000000000000−i3i3i3−i300000000000000000000
χ5944-4-444004-44-4-4-44004-4-4000000000000000000000000000000000000000000000000000000000022−220000
χ6044-4-444004-44-4-4-44004-4-40000000000000000000000000000000000000000000000000000000000−22220000
χ614-44-44400-44-44-4-4400-44-40000004i−4i000000000000000000000000004i−4i0000000000000000000000000000
χ624-44-44400-44-44-4-4400-44-4000000−4i4i00000000000000000000000000−4i4i0000000000000000000000000000
χ634-44-44-200-442-2-42-2002-22−2i32i300004i−4i00000000000−2i32i30000000000000−2i2i23−2300000000000000000000000000
χ644-44-44-200-442-2-42-2002-22−2i32i30000−4i4i00000000000−2i32i300000000000002i−2i−232300000000000000000000000000
χ654-44-44-200-442-2-42-2002-222i3−2i300004i−4i000000000002i3−2i30000000000000−2i2i−232300000000000000000000000000
χ664-44-44-200-442-2-42-2002-222i3−2i30000−4i4i000000000002i3−2i300000000000002i−2i23−2300000000000000000000000000
χ674-4-44444-4-4-4-4-444400-4-4400-44-44000000000000000-4400000000000000000000000000000000000000000
χ684-4-444-24-4-4-4224-2-20022-2002-2-440000000000000002-200000−2i32i32i3−2i300000000000000000000000000000000
χ694-4-444-24-4-4-4224-2-20022-2002-2-440000000000000002-2000002i3−2i3−2i32i300000000000000000000000000000000
χ704-4-444-2-44-4-4224-2-20022-200-224-4000000000000000-22004-40-22-2200000000000000000000000000000000
χ714-4-444-2-44-4-4224-2-20022-200-224-4000000000000000-2200-4402-22-200000000000000000000000000000000
χ724-4-44-244-422-4-4-24-20022-200-442-20000000000000002-20000000000000000000000000000000−2i32i300000000
χ734-4-44-244-422-4-4-24-20022-200-442-20000000000000002-200000000000000000000000000000002i3−2i300000000
χ744-4-44-24-4422-4-4-24-20022-2004-4-22000000000000000-220000000004-4000000000000000000-220000000000
χ754-4-44-24-4422-4-4-24-20022-2004-4-22000000000000000-22000000000-440000000000000000002-20000000000
χ7688-8-88-4008-8-44-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4800-448-84-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-44-44442002-2-2000000000000000006-6000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44-44442002-2-200000000000000000-66000000000000000000000000000000000000000000000
χ808-88-8-48004-4-884-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-4004-44-444200-22-2−4i34i3000000000000000002i3−2i30000000000000000000000000000000000000000000
χ828-88-8-4-4004-44-444200-22-24i3−4i300000000000000000−2i32i30000000000000000000000000000000000000000000
χ838-8-88-4-48-84444-4-4200-2-22004-44-4000000000000000-2200000000000000000000000000000000000000000
χ848-8-88-4-4-884444-4-4200-2-2200-44-440000000000000002-200000000000000000000000000000000000000000

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