Finite Group Databasebeta

← Group #11889292

Character table — Group #11889292

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order1222334466666623466666121212121212444466612121212121212121222244446666881212121212121212121224666812121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-111111-1-111111111111-1111-11-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1111-1-11-1-111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1111-1-11-1-111111-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-11
χ51111111111111111111111111111-1-111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1111111-11-1-1-11-111111111-1-1-1-1-1
χ61111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111-1-1-1-1111-1-11-1-11111-111-111-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-1111-1-11-1-11111-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-11111-1-111-1
χ911111111111111-11-1-1-1111-1-11111111-1-1-1-111-1-1-111-1-11-1-1-111-1-1-1-1-1-1-1-1-111-1111-1-11-11111-1-1-11111-1-1-1-1-111
χ1011111111111111-11-1-1-1111-1-11111111-1-1-1-111-1-1-111-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1111-1-111111-1-111-1-1-1-111111-1-1
χ1111111111111111-11-1-1-1111-1-1111111-11-1-1-1-1-1-11111-1-1111-111-1111111-1-1111-1-1-111-1-11-1-1-1-1-1-111-1-11111-11-1
χ1211111111111111-11-1-1-1111-1-1111111-11-1-1-1-1-1-11111-1-1111-1-1-1-11111-1-1-1-1111-1-1-111-111-1-11-111-1-111-1-1-1-11-11
χ1311111111111111-11-1-1-1111-1-11111-1-11-1-1-1-111-1-1-111-1-1-11111111111-1-111-1-1-1111-1-1-1-1-1-1-111-1-11111-1-1111-1-1
χ1411111111111111-11-1-1-1111-1-11111-1-11-1-1-1-111-1-1-111-1-1-1111-1-1111111111-1-1-1111-1-1-11-1-1-1-1111-1-1-1-111-1-1-111
χ1511111111111111-11-1-1-1111-1-11111-1-1-11-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-1-11-1-1-1111-1-111-11-1-111-1-111-1-11-11
χ1611111111111111-11-1-1-1111-1-11111-1-1-11-1-1-1-1-1-11111-1-1-1-1-11-1-11-1-1-1-1-1-111-1-11-1-1-11111-1111111-1-111-1-111-11-1
χ17222222-2-222222222-222222-2-2-2-2-2-2220022200-200-2-2-2-2-200200-2000000222200000000-2000-20000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-20022200-200-2-2-2-2200-2002000000-2-2-2-200000000200020000000000000
χ19222222-2-2222222-222-2-222222-2-2-2-22200-2-2-200200-2-222-200-2002000000-2-22200000000-200020000000000000
χ20222222-2-2222222-222-2-222222-2-2-2-2-2-200-2-2-200200-2-222200200-200000022-2-2000000002000-20000000000000
χ2122222-122-12-12-122-12-1-1-1-1-122-1-12222222-1-1-1-1-1-1-1-1-1-1-12222002-1-1-1-100-1-1-1-122-1-1-1-120-1-1-10-10000000000000
χ2222222-122-12-12-122-12-1-1-1-1-122-1-12222-2-22-1-111-111-1-1-1-12-2-22002111100-1-1-1-1-2-21111-20-1110-10000000000000
χ2322222-122-12-12-122-12-1-1-1-1-122-1-122-2-2222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2111100111122-1-1-1-1-20111010000000000000
χ2422222-122-12-12-122-12-1-1-1-1-122-1-122-2-2-2-22-1-111-111-1-1-1-1-222-200-2-1-1-1-1001111-2-21111201-1-1010000000000000
χ2522222-122-12-12-12-2-1-211-1-1-1-2-2-1-122222-2-211-1-1111-1-1112-2-2-200-211110011-1-1-22-1-11120-1-1-1010000000000000
χ2622222-122-12-12-12-2-1-211-1-1-1-2-2-1-12222-22-211111-1-1-1-111222-200-2-1-1-1-10011-1-12-211-1-1-20-111010000000000000
χ2722222-122-12-12-12-2-1-211-1-1-1-2-2-1-122-2-22-2-211-1-1111-1-111-2222002-1-1-1-100-1-111-22-1-111-201110-10000000000000
χ2822222-122-12-12-12-2-1-211-1-1-1-2-2-1-122-2-2-22-211111-1-1-1-111-2-2-22002111100-1-1112-211-1-1201-1-10-10000000000000
χ2922222-1-2-2-12-12-122-1-2-1-1-1-1-1-2-211-2-222002-1-1−i3i31−i3i31111-200200-2−i3−i3i3i300-1-1-1-100−i3i3−i3i3001−i3i3010000000000000
χ3022222-1-2-2-12-12-122-1-2-1-1-1-1-1-2-211-2-222002-1-1i3−i31i3−i31111-200200-2i3i3−i3−i300-1-1-1-100i3−i3i3−i3001i3−i3010000000000000
χ3122222-1-2-2-12-12-122-1-2-1-1-1-1-1-2-211-2-2-2-2002-1-1−i3i31−i3i31111200-2002i3i3−i3−i300111100−i3i3−i3i300-1i3−i30-10000000000000
χ3222222-1-2-2-12-12-122-1-2-1-1-1-1-1-2-211-2-2-2-2002-1-1i3−i31i3−i31111200-2002−i3−i3i3i300111100i3−i3i3−i300-1−i3i30-10000000000000
χ3322222-1-2-2-12-12-12-2-1211-1-1-12211-2-22200-211−i3i3-1i3−i311-1-1-200-2002i3i3−i3−i30011-1-100−i3i3i3−i3001−i3i30-10000000000000
χ3422222-1-2-2-12-12-12-2-1211-1-1-12211-2-22200-211i3−i3-1−i3i311-1-1-200-2002−i3−i3i3i30011-1-100i3−i3−i3i3001i3−i30-10000000000000
χ3522222-1-2-2-12-12-12-2-1211-1-1-12211-2-2-2-200-211−i3i3-1i3−i311-1-1200200-2−i3−i3i3i300-1-11100−i3i3i3−i300-1i3−i3010000000000000
χ3622222-1-2-2-12-12-12-2-1211-1-1-12211-2-2-2-200-211i3−i3-1−i3i311-1-1200200-2i3i3−i3−i300-1-11100i3−i3−i3i300-1−i3i3010000000000000
χ372222-12222-12-12-12-1222-1-1-1-1-122-1-10022-1-1-122222-1-1-1-100002200000220000-1-1-1-1-1-10200020-1-1-1-1-1-1-1-100000
χ382222-12222-12-12-12-1222-1-1-1-1-122-1-10022-1-1-122222-1-1-1-10000-2-200000-2-20000-1-1-1-1-1-10-2000-201111111100000
χ392222-12222-12-12-12-1222-1-1-1-1-122-1-100-2-2-1-1-1-2-22-2-2-1-1-1-100002200000-2-2000011111102000-20-1-1-1-1111100000
χ402222-12222-12-12-12-1222-1-1-1-1-122-1-100-2-2-1-1-1-2-22-2-2-1-1-1-10000-2-2000002200001111110-2000201111-1-1-1-100000
χ412222-12222-12-12-1-2-1-2-2-2-1-1-11122-1-1002-211122-2-2-2-1-11100002200000-2-200001-1-1-1110-20002011-1-1-1-11100000
χ422222-12222-12-12-1-2-1-2-2-2-1-1-11122-1-1002-211122-2-2-2-1-1110000-2-2000002200001-1-1-11102000-20-1-11111-1-100000
χ432222-12222-12-12-1-2-1-2-2-2-1-1-11122-1-100-22111-2-2-222-1-11100002200000220000-1111-1-10-2000-2011-1-111-1-100000
χ442222-12222-12-12-1-2-1-2-2-2-1-1-11122-1-100-22111-2-2-222-1-1110000-2-200000-2-20000-1111-1-10200020-1-111-1-11100000
χ452-22-2222-2-22-2-22-202000-2-22002-22-20000000000002-20002-202i−2i02-22-20000000000000000000002i−2i00002i−2i000
χ462-22-2222-2-22-2-22-202000-2-22002-22-20000000000002-20002-20−2i2i02-22-2000000000000000000000−2i2i0000−2i2i000
χ472-22-2222-2-22-2-22-202000-2-22002-22-20000000000002-2000-2202i−2i0-22-220000000000000000000002i−2i0000−2i2i000
χ482-22-2222-2-22-2-22-202000-2-22002-22-20000000000002-2000-220−2i2i0-22-22000000000000000000000−2i2i00002i−2i000
χ494444-24-4-44-24-24-24-2-444-2-2-222-4-4220000-2-2-200-40022220000000000000000000000000000000000000000000
χ504444-24-4-44-24-24-2-4-24-4-4-2-2-2-2-2-4-42200002220040022-2-20000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-20044-211-2-2-2-2-2111100000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-200-4-4-21122-22211110000000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-42211122-2-2-2-2004-42-1-1-2-222211-1-1000000000000000002-211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-42211122-2-2-2-200-442-1-1222-2-211-1-100000000000000000-22-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-4-2-21112222220000-211−2i32i32−2i32i3-1-1-1-10000000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-4-2-21112222220000-2112i3−2i322i3−2i3-1-1-1-10000000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-41422111-2-2222200002-1-1−2i32i3-22i3−2i3-1-1110000000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-41422111-2-2222200002-1-12i3−2i3-2−2i32i3-1-1110000000000000000000−i3i3i3−i300000000000000000000
χ5944-4-44400-4-44-4-4404000-44-4000000000000000000000000000000000−2i22i200000000000000000000000−2i22i200000
χ6044-4-44400-4-44-4-4404000-44-40000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i200000
χ6144-4-4-2400-4242-4-20-20002-2223−2300000000000000000023−2300000000000−2i22i2000000000000000000000i6−i6i2−i200000
χ6244-4-4-2400-4242-4-20-20002-2223−2300000000000000000023−23000000000002i2−2i2000000000000000000000−i6i6−i2i200000
χ6344-4-4-2400-4242-4-20-20002-22−2323000000000000000000−232300000000000−2i22i2000000000000000000000−i6i6i2−i200000
χ6444-4-4-2400-4242-4-20-20002-22−2323000000000000000000−2323000000000002i2−2i2000000000000000000000i6−i6−i2i200000
χ654-44-444-44-44-4-44-404000-4-4400-44-44000000000000-44000000000000000000000000000000000000000000000
χ664-44-44-24-4242-4-2-40-200022-200-224-4000000000000-220004-40000-22-2200000000000000000000000000000000
χ674-44-44-24-4242-4-2-40-200022-200-224-4000000000000-22000-4400002-22-200000000000000000000000000000000
χ684-44-44-2-44242-4-2-40-200022-2002-2-440000000000002-2000000000−2i32i32i3−2i300000000000000000000000000000000
χ694-44-44-2-44242-4-2-40-200022-2002-2-440000000000002-20000000002i3−2i3−2i32i300000000000000000000000000000000
χ704-44-4-244-4-4-2-42420-200022-2004-4-22000000000000-220000004i−4i00000000000000000000000000−2i2i000000000
χ714-44-4-244-4-4-2-42420-200022-2004-4-22000000000000-22000000−4i4i000000000000000000000000002i−2i000000000
χ724-44-4-24-44-4-2-42420-200022-200-442-20000000000002-20000000000000000000000000000000023−2300000000000
χ734-44-4-24-44-4-2-42420-200022-200-442-20000000000002-200000000000000000000000000000000−232300000000000
χ744-4-4444004-4-44-4-4040004-4-40000004i−4i000000000000000000000000000004i−4i00000000000000000000000000
χ754-4-4444004-4-44-4-4040004-4-4000000−4i4i00000000000000000000000000000−4i4i00000000000000000000000000
χ764-4-444-200-2-4242-40-20−2i32i3-2220000004i−4i000−2i32i3000000000000000000000023−23−2i2i00000000000000000000000000
χ774-4-444-200-2-4242-40-20−2i32i3-222000000−4i4i000−2i32i30000000000000000000000−23232i−2i00000000000000000000000000
χ784-4-444-200-2-4242-40-202i3−2i3-2220000004i−4i0002i3−2i30000000000000000000000−2323−2i2i00000000000000000000000000
χ794-4-444-200-2-4242-40-202i3−2i3-222000000−4i4i0002i3−2i3000000000000000000000023−232i−2i00000000000000000000000000
χ8088-8-88-4004-8-4-8480-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-40044-444-402000-22-243−43000000000000000000−23230000000000000000000000000000000000000000000
χ8288-8-8-4-40044-444-402000-22-2−434300000000000000000023−230000000000000000000000000000000000000000000
χ838-88-8-4-48-84-444-4402000-2-2200-44-440000000000002-2000000000000000000000000000000000000000000000
χ848-88-8-4-4-884-444-4402000-2-22004-44-4000000000000-22000000000000000000000000000000000000000000000
χ858-8-88-480084-8-4-840-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-444-444020−4i34i32-2-2000000000002i3−2i30000000000000000000000000000000000000000000000000000
χ878-8-88-4-400-444-4440204i3−4i32-2-200000000000−2i32i30000000000000000000000000000000000000000000000000000

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