Finite Group Databasebeta

← Group #11884148

Character table — Group #11884148

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order12223344666666234666661212121222446661212121212121212121244444668812121212121212121212121224481212121224242424228861248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1111111111111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-11-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-11
χ41111111111111111111111111111-1-11111-1-11-1-11111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-111111111-11-1-1-1-11111-1-1-1-111-1-1
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
χ711111111111111111111111111-1-1-1-11111-1-11-1-11111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-11111-1-11-1-11111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-11111-11
χ911111111111111-11-1-1-11111111111-1-1-1-1-111-1-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1111-1-1-111-1-111111-1-1-1-111-111-1
χ1011111111111111-11-1-1-11111111111-1-1-1-1-111-1-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1111-1-11-111-1111-1-11111-1-11-1-11
χ1111111111111111-11-1-1-1111111111-11-1-1-1-1-1-1-11111-1-1-1-11111111-1-111111-1-1-1111-1-1-1-11-1-111-1-111111-1-1-1
χ1211111111111111-11-1-1-1111111111-11-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111111-1-1-111-11-11-11-1-1-1-111-1-1-1-1-1111
χ1311111111111111-11-1-1-11111111-1-11-1-1-1-1-111-1-1-111-1-111-111-1-111111111-1111-1-1-11-1-11-1-1-111-1-111-1-1-11-11
χ1411111111111111-11-1-1-11111111-1-11-1-1-1-1-111-1-1-111-1-111-111-1-1-1-1111111-1111-1-11-1-111-1-1-1-1-111-1-1111-11-1
χ1511111111111111-11-1-1-11111111-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-11-1-1-1111-11-11-11111-1-1-1-1-1-11-111
χ1611111111111111-11-1-1-11111111-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-1-11-1-1-111-11111-111-1-1111111-11-1-1
χ17222222-2-222222222-222222-2-2-2-22200222-200-200-2-2-2-22-2-20022002200000000000000-2-200000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-200222-200-200-2-2-2-2-22200-2-200-2-2000000000000002200000000000000
χ19222222-2-2222222-222-2-2222-2-2-2-22200-2-2-2200200-2-222-22-2002200-2-2000000000000002-200000000000000
χ20222222-2-2222222-222-2-2222-2-2-2-2-2-200-2-2-2200200-2-2222-2200-2-2002200000000000000-2200000000000000
χ2122222-122-12-12-122-1222-1-1-1-122-10022-1-1-1-122222-1-1-1-1000000022000000-1-1-1-1-1-122020000-1-1-1-10000-1-100
χ2222222-122-12-12-122-1222-1-1-1-122-10022-1-1-1-122222-1-1-1-10000000-2-2000000-1-1-1-1-1-1-2-20-20000111100001100
χ2322222-122-12-12-122-1222-1-1-1-122-100-2-2-1-1-1-1-2-22-2-2-1-1-1-1000000022000000111111-2-2020000-1-1-1-100001100
χ2422222-122-12-12-122-1222-1-1-1-122-100-2-2-1-1-1-1-2-22-2-2-1-1-1-10000000-2-2000000111111220-2000011110000-1-100
χ2522222-122-12-12-12-2-1-2-2-2-1-1-1-122-1002-2111122-2-2-2-1-1110000000220000001-1-1-111-220-20000-1-11100001-100
χ2622222-122-12-12-12-2-1-2-2-2-1-1-1-122-1002-2111122-2-2-2-1-1110000000-2-20000001-1-1-1112-202000011-1-10000-1100
χ2722222-122-12-12-12-2-1-2-2-2-1-1-1-122-100-221111-2-2-222-1-111000000022000000-1111-1-12-20-20000-1-1110000-1100
χ2822222-122-12-12-12-2-1-2-2-2-1-1-1-122-100-221111-2-2-222-1-1110000000-2-2000000-1111-1-1-2202000011-1-100001-100
χ292222-12222-12-12-12-12-1-1-1-1-12-1-1222222-1-12-1-1-1-1-1-1-1-1-122222-1-100-1-1-1-1-1-122-1-1-1-10020-1-1-1-1000000000000
χ302222-12222-12-12-12-12-1-1-1-1-12-1-1222-2-22-1-1211-111-1-1-1-1222-2-2-1-100-1-11111-2-2111100-20-1-111000000000000
χ312222-12222-12-12-12-12-1-1-1-1-12-1-12-2-2222-1-12-1-1-1-1-1-1-1-1-1-2-2-2-2-2110011111122-1-1-1-100-201111000000000000
χ322222-12222-12-12-12-12-1-1-1-1-12-1-12-2-2-2-22-1-1211-111-1-1-1-1-2-2-222110011-1-1-1-1-2-21111002011-1-1000000000000
χ332222-12222-12-12-1-2-1-211-1-1-12-1-12222-2-211-2-1-1111-1-111-2-22-2-2-1-100111111-22-1-11100201-1-1-1000000000000
χ342222-12222-12-12-1-2-1-211-1-1-12-1-1222-22-211-2111-1-1-1-111-2-2222-1-10011-1-1-1-12-211-1-100-201-111000000000000
χ352222-12222-12-12-1-2-1-211-1-1-12-1-12-2-22-2-211-2-1-1111-1-11122-2221100-1-1-1-1-1-1-22-1-11100-20-1111000000000000
χ362222-12222-12-12-1-2-1-211-1-1-12-1-12-2-2-22-211-2111-1-1-1-11122-2-2-21100-1-111112-211-1-10020-11-1-1000000000000
χ372222-12-2-22-12-12-12-1-2-1-1-1-1-1-211-222002-1-1-2−i3i31−i3i311112-2-200-1-100-1-1−i3−i3i3i300−i3i3−i3i3000011−i3i3000000000000
χ382222-12-2-22-12-12-12-1-2-1-1-1-1-1-211-222002-1-1-2i3−i31i3−i311112-2-200-1-100-1-1i3i3−i3−i300i3−i3i3−i3000011i3−i3000000000000
χ392222-12-2-22-12-12-12-1-2-1-1-1-1-1-211-2-2-2002-1-1-2−i3i31−i3i31111-22200110011i3i3−i3−i300−i3i3−i3i30000-1-1i3−i3000000000000
χ402222-12-2-22-12-12-12-1-2-1-1-1-1-1-211-2-2-2002-1-1-2i3−i31i3−i31111-22200110011−i3−i3i3i300i3−i3i3−i30000-1-1−i3i3000000000000
χ412222-12-2-22-12-12-1-2-1211-1-1-1-211-22200-2112−i3i3-1i3−i311-1-1-22-200-1-10011i3i3−i3−i300−i3i3i3−i30000-11−i3i3000000000000
χ422222-12-2-22-12-12-1-2-1211-1-1-1-211-22200-2112i3−i3-1−i3i311-1-1-22-200-1-10011−i3−i3i3i300i3−i3−i3i30000-11i3−i3000000000000
χ432222-12-2-22-12-12-1-2-1211-1-1-1-211-2-2-200-2112−i3i3-1i3−i311-1-12-22001100-1-1−i3−i3i3i300−i3i3i3−i300001-1i3−i3000000000000
χ442222-12-2-22-12-12-1-2-1211-1-1-1-211-2-2-200-2112i3−i3-1−i3i311-1-12-22001100-1-1i3i3−i3−i300i3−i3−i3i300001-1−i3i3000000000000
χ452-2-2222-22-2-22-2-2202000-2-22-22-2200000000000002-2000002-2002-2002-22-2000000000000002-2002-2000000
χ462-2-2222-22-2-22-2-2202000-2-22-22-2200000000000002-2000002-200-22002-22-200000000000000-2200-22000000
χ472-2-2222-22-2-22-2-2202000-2-22-22-2200000000000002-200000-22002-200-22-22000000000000002-200-22000000
χ482-2-2222-22-2-22-2-2202000-2-22-22-2200000000000002-200000-2200-2200-22-2200000000000000-22002-2000000
χ4944444-2-4-4-24-24-244-2-444-2-2-22-4-420000-2-2-2200-400222200000000000000000000000000000000000000000
χ5044444-2-4-4-24-24-24-4-24-4-4-2-2-22-4-420000222-20040022-2-200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-20044-211-2-2-2-2-2-21111000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-200-4-4-211-222-222111100000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-422111-2-2-2-2004-42-1-12-2-222211-1-10000000000000002-211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-422111-2-2-2-200-442-1-12222-2-211-1-1000000000000000-22-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-4-2-211122220000-2112−2i32i32−2i32i3-1-1-1-100000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-4-2-211122220000-21122i3−2i322i3−2i3-1-1-1-100000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-41422111222200002-1-1-2−2i32i3-22i3−2i3-1-11100000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-41422111222200002-1-1-22i3−2i3-2−2i32i3-1-11100000000000000000−i3i3i3−i300000000000000000000
χ5944-4-4440044-4-4-4-4040004-4-400004-4000000000000000000004-40000000000000000000000000000000000
χ6044-4-4440044-4-4-4-4040004-4-40000-4400000000000000000000-440000000000000000000000000000000000
χ6144-4-4-24004-2-42-420-20−2i32i3-22200004-4000−2i32i3000000000000000-2200−2i32i3000000000000000000000000000000
χ6244-4-4-24004-2-42-420-20−2i32i3-2220000-44000−2i32i30000000000000002-2002i3−2i3000000000000000000000000000000
χ6344-4-4-24004-2-42-420-202i3−2i3-22200004-40002i3−2i3000000000000000-22002i3−2i3000000000000000000000000000000
χ6444-4-4-24004-2-42-420-202i3−2i3-2220000-440002i3−2i30000000000000002-200−2i32i3000000000000000000000000000000
χ654-44-44400-4-4-444-404000-44-400000000000000000000000000000000000000000000000000000000−2i22i20000
χ664-44-44400-4-4-444-404000-44-4000000000000000000000000000000000000000000000000000000002i2−2i20000
χ674-4-44444-4-4-44-4-4404000-4-444-44-40000000000000-440000000000000000000000000000000000000000000
χ684-4-444-24-42-4-2-4240-200022-2-2-44200000000000002-200000000000000000000000000000000023−2300000000
χ694-4-444-24-42-4-2-4240-200022-2-2-44200000000000002-2000000000000000000000000000000000−232300000000
χ704-4-444-2-442-4-2-4240-200022-224-4-20000000000000-220000000004-400000000000000000000-220000000000
χ714-4-444-2-442-4-2-4240-200022-224-4-20000000000000-22000000000-44000000000000000000002-20000000000
χ724-4-44-244-4-4242-4-20-200022-242-2-400000000000002-20000000000000−2i32i32i3−2i300000000000000000000000000
χ734-4-44-244-4-4242-4-20-200022-242-2-400000000000002-200000000000002i3−2i3−2i32i300000000000000000000000000
χ744-4-44-24-44-4242-4-20-200022-2-4-2240000000000000-22000004-4000000-22-2200000000000000000000000000
χ754-4-44-24-44-4242-4-20-200022-2-4-2240000000000000-2200000-440000002-22-200000000000000000000000000
χ7688-8-88-400-484-84-80-4000-44400000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-400-4-44444020−4i34i32-2-20000000002i3−2i3000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-4-444440204i3−4i32-2-2000000000−2i32i3000000000000000000000000000000000000000000000000000
χ798-88-88-4004-848-4-80-40004-4400000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4800-84-8-4840-40004-4400000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-400444-4-4402000-22-200000000000000000006i−6i00000000000000000000000000000000000000000
χ828-88-8-4-400444-4-4402000-22-20000000000000000000−6i6i00000000000000000000000000000000000000000
χ838-8-88-4-48-844-444-402000-2-22-44-440000000000000-220000000000000000000000000000000000000000000
χ848-8-88-4-4-8844-444-402000-2-224-44-400000000000002-20000000000000000000000000000000000000000000

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