Finite Group Databasebeta

← Group #11884329

Character table — Group #11884329

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order1222334466666623466666121212124444666121212121212121212122224466668812121212121212121212244666812242424242288121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111111111111-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1111-1-11-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-11
χ41111111111111111111111111111-1-1111-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1-11-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-111-1-1-11-11111-1-1-1-111-1-1
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
χ711111111111111111111111111-1-1-1-1111-1-11-1-111111-111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1111-1111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-1111-1-11-1-111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-11111-11
χ911111111111111-11-1-1-11111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1111-111-1-111-1111-1-111-1-1-1-1111-11-1
χ1011111111111111-11-1-1-11111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-11-111111-1-1-11111-1-1-11-11
χ1111111111111111-11-1-1-1111111111-11-1-1-1-1-1-111-111-1-1111-1-1111111-1-111-11-1-111-1-111-1-1-1-111-1-11111-11-1-1
χ1211111111111111-11-1-1-1111111111-11-1-1-1-1-1-111-111-1-1111-1-11111-1-1-1-111-11-1-111-11-11-1-11-1-1-111-1-1-1-11-111
χ1311111111111111-11-1-1-11111111-1-11-1-1-1-111-1-1-1-111-1-1-1111111111111-1-11-111-1-1-11-1-1-1-1-1111-1-111-1-11-1-11
χ1411111111111111-11-1-1-11111111-1-11-1-1-1-111-1-1-1-111-1-1-111111111-1-111-1-11-111-1-1-1-11-1-1-111-1-111-1-111-111-1
χ1511111111111111-11-1-1-11111111-1-1-11-1-1-1-1-1-111-111-1-1-1-1-111-1-1-1-11111-1-1-11-1-1111-11-111-1111-1-1-1-1-1-1-1111
χ1611111111111111-11-1-1-11111111-1-1-11-1-1-1-1-1-111-111-1-1-1-1-111-1-1-1-1-1-111-1-1-11-1-11111-1-11111-1-11111111-1-1-1
χ17222222-2-222222222-222222-2-2-2-2220022200-200-2-2-2-2-2-2002-20000002222000000000-2000-2000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-20022200-200-2-2-2-2-2200-22000000-2-2-2-200000000020002000000000000
χ19222222-2-2222222-222-2-2222-2-2-2-22200-2-2-2002002-2-222-200-22000000-2-222000000000-20002000000000000
χ20222222-2-2222222-222-2-2222-2-2-2-2-2-200-2-2-2002002-2-2222002-200000022-2-20000000002000-2000000000000
χ2122222-1222-1-12-122-12-1-1-1-1-1-1-12222222-1-1-1-1-1-1-12-1-1-1-122222-1-1-1-100-1-1-1-122-1-1-1-1200-1-1-10-1000000000000
χ2222222-1222-1-12-122-12-1-1-1-1-1-1-12222-2-22-1-111-1112-1-1-1-12-2-222111100-1-1-1-1-2-21111-200-1110-1000000000000
χ2322222-1222-1-12-122-12-1-1-1-1-1-1-122-2-2222-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-2111100111122-1-1-1-1-20011101000000000000
χ2422222-1222-1-12-122-12-1-1-1-1-1-1-122-2-2-2-22-1-111-1112-1-1-1-1-222-2-2-1-1-1-1001111-2-211112001-1-101000000000000
χ2522222-1222-1-12-12-2-1-211-1-1-1-1-122222-2-211-1-1111-2-1-1112-2-2-2-211110011-1-12-2-1-111200-1-1-101000000000000
χ2622222-1222-1-12-12-2-1-211-1-1-1-1-12222-22-211111-1-1-2-1-111222-2-2-1-1-1-10011-1-1-2211-1-1-200-11101000000000000
χ2722222-1222-1-12-12-2-1-211-1-1-1-1-122-2-22-2-211-1-1111-2-1-111-22222-1-1-1-100-1-1112-2-1-111-2001110-1000000000000
χ2822222-1222-1-12-12-2-1-211-1-1-1-1-122-2-2-22-211111-1-1-2-1-111-2-2-222111100-1-111-2211-1-12001-1-10-1000000000000
χ2922222-1-2-22-1-12-122-1-2-1-1-1-1-111-2-222002-1-1−i3i31−i3i3-21111-2002-2−i3−i3i3i300-1-1-1-100−i3i3−i3i30001−i3i301000000000000
χ3022222-1-2-22-1-12-122-1-2-1-1-1-1-111-2-222002-1-1i3−i31i3−i3-21111-2002-2i3i3−i3−i300-1-1-1-100i3−i3i3−i30001i3−i301000000000000
χ3122222-1-2-22-1-12-122-1-2-1-1-1-1-111-2-2-2-2002-1-1−i3i31−i3i3-21111200-22i3i3−i3−i300111100−i3i3−i3i3000-1i3−i30-1000000000000
χ3222222-1-2-22-1-12-122-1-2-1-1-1-1-111-2-2-2-2002-1-1i3−i31i3−i3-21111200-22−i3−i3i3i300111100i3−i3i3−i3000-1−i3i30-1000000000000
χ3322222-1-2-22-1-12-12-2-1211-1-1-111-2-22200-211−i3i3-1i3−i3211-1-1-200-22i3i3−i3−i30011-1-100−i3i3i3−i30001−i3i30-1000000000000
χ3422222-1-2-22-1-12-12-2-1211-1-1-111-2-22200-211i3−i3-1−i3i3211-1-1-200-22−i3−i3i3i30011-1-100i3−i3−i3i30001i3−i30-1000000000000
χ3522222-1-2-22-1-12-12-2-1211-1-1-111-2-2-2-200-211−i3i3-1i3−i3211-1-12002-2−i3−i3i3i300-1-11100−i3i3i3−i3000-1i3−i301000000000000
χ3622222-1-2-22-1-12-12-2-1211-1-1-111-2-2-2-200-211i3−i3-1−i3i3211-1-12002-2i3i3−i3−i300-1-11100i3−i3−i3i3000-1−i3i301000000000000
χ372222-1222-122-12-12-1222-1-1-122-1-10022-1-1-122222-1-1-1-1-1000000000220000-1-1-1-1-1-102200020-1-1-1-10000-1-100
χ382222-1222-122-12-12-1222-1-1-122-1-10022-1-1-122222-1-1-1-1-1000000000-2-20000-1-1-1-1-1-10-2-2000-20111100001100
χ392222-1222-122-12-12-1222-1-1-122-1-100-2-2-1-1-1-2-22-2-2-1-1-1-1-10000000002200001111110-2-200020-1-1-1-100001100
χ402222-1222-122-12-12-1222-1-1-122-1-100-2-2-1-1-1-2-22-2-2-1-1-1-1-1000000000-2-20000111111022000-2011110000-1-100
χ412222-1222-122-12-1-2-1-2-2-2-1-1-122-1-1002-211122-2-2-21-1-111000000000220000-11-1-11102-2000-20-1-1110000-1100
χ422222-1222-122-12-1-2-1-2-2-2-1-1-122-1-1002-211122-2-2-21-1-111000000000-2-20000-11-1-1110-220002011-1-100001-100
χ432222-1222-122-12-1-2-1-2-2-2-1-1-122-1-100-22111-2-2-2221-1-1110000000002200001-111-1-10-22000-20-1-11100001-100
χ442222-1222-122-12-1-2-1-2-2-2-1-1-122-1-100-22111-2-2-2221-1-111000000000-2-200001-111-1-102-20002011-1-10000-1100
χ452-2-2222-22-2-2-2-22202000-2-222-2-2200000000000002-20002-2002-22-22-20000000000000000002-2002-2000000
χ462-2-2222-22-2-2-2-22202000-2-222-2-2200000000000002-20002-2002-22-2-22000000000000000000-2200-22000000
χ472-2-2222-22-2-2-2-22202000-2-222-2-2200000000000002-2000-2200-22-222-20000000000000000002-200-22000000
χ482-2-2222-22-2-2-2-22202000-2-222-2-2200000000000002-2000-2200-22-22-22000000000000000000-22002-2000000
χ494444-24-4-4-244-24-24-2-444-2-2-2-4-4220000-2-2-200-4002222200000000000000000000000000000000000000000
χ504444-24-4-4-244-24-2-4-24-4-4-2-2-2-4-422000022200400-222-2-200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-20044-211-2-2-2-2-2-21111000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-200-4-4-21122-222-2111100000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-422111-2-2-2-2004-42-1-1-2-2222211-1-1000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-422111-2-2-2-200-442-1-1222-2-2211-1-10000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-4-2-211122220000-211−2i32i32−2i32i32-1-1-1-100000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-4-2-211122220000-2112i3−2i322i3−2i32-1-1-1-100000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-41422111222200002-1-1−2i32i3-22i3−2i3-2-1-11100000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-41422111222200002-1-12i3−2i3-2−2i32i3-2-1-11100000000000000000−i3i3i3−i300000000000000000000
χ5944-4-444004-44-4-4-404000-44-400000000000000000000000000000000000000000000000000000000−2i22i20000
χ6044-4-444004-44-4-4-404000-44-4000000000000000000000000000000000000000000000000000000002i2−2i20000
χ614-44-44400-44-44-4-4040004-4-400004i−4i00000000000000000000000000004i−4i00000000000000000000000000
χ624-44-44400-44-44-4-4040004-4-40000−4i4i0000000000000000000000000000−4i4i00000000000000000000000000
χ634-44-44-200-4-2242-40-20−2i32i3-22200004i−4i000−2i32i300000000000000000000023−23−2i2i00000000000000000000000000
χ644-44-44-200-4-2242-40-20−2i32i3-2220000−4i4i000−2i32i3000000000000000000000−23232i−2i00000000000000000000000000
χ654-44-44-200-4-2242-40-202i3−2i3-22200004i−4i0002i3−2i3000000000000000000000−2323−2i2i00000000000000000000000000
χ664-44-44-200-4-2242-40-202i3−2i3-2220000−4i4i0002i3−2i300000000000000000000023−232i−2i00000000000000000000000000
χ674-4-44444-4-4-4-4-44404000-4-44-444-40000000000000-440000000000000000000000000000000000000000000
χ684-4-444-24-4-422-4-240-200022-22-24-400000000000002-20000000−2i32i32i3−2i300000000000000000000000000000000
χ694-4-444-24-4-422-4-240-200022-22-24-400000000000002-200000002i3−2i3−2i32i300000000000000000000000000000000
χ704-4-444-2-44-422-4-240-200022-2-22-440000000000000-220004-400-22-2200000000000000000000000000000000
χ714-4-444-2-44-422-4-240-200022-2-22-440000000000000-22000-44002-22-200000000000000000000000000000000
χ724-4-44-244-42-4-424-20-200022-2-44-2200000000000002-200000000000000000000000000000000023−2300000000
χ734-4-44-244-42-4-424-20-200022-2-44-2200000000000002-2000000000000000000000000000000000−232300000000
χ744-4-44-24-442-4-424-20-200022-24-42-20000000000000-22000000000004-4000000000000000000-220000000000
χ754-4-44-24-442-4-424-20-200022-24-42-20000000000000-2200000000000-440000000000000000002-20000000000
χ7688-8-88-40084-4-84-80-40004-4400000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4800-4-884-840-40004-4400000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-44-444402000-22-200000000000000000006i−6i00000000000000000000000000000000000000000
χ7988-8-8-4-400-44-444402000-22-20000000000000000000−6i6i00000000000000000000000000000000000000000
χ808-88-8-480048-8-4-840-4000-44400000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-4004-44-444020−4i34i32-2-20000000002i3−2i3000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-44-4440204i3−4i32-2-2000000000−2i32i3000000000000000000000000000000000000000000000000000
χ838-8-88-4-48-84444-4-402000-2-224-4-440000000000000-220000000000000000000000000000000000000000000
χ848-8-88-4-4-884444-4-402000-2-22-444-400000000000002-20000000000000000000000000000000000000000000

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