Finite Group Databasebeta

← Group #11872432

Character table — Group #11872432

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order12223344666666234666661212121244444466612121212121212121212444444881212121212121212121244812121212121212121212242424242244888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11111-1-11-1-11111111111-1-11111-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-11111-1-11-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-1-1111111-1-1-1-1111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ711111111111111111111111111-1-1-1-1-1-11111-1-11-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1111111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-11111-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-111-111-1-1-1-111111111-1-1-1
χ911111111111111-11-1-1-1111111111111-1-1-1-1-111-1-1-111-1-1-1-111-1-1111111-1111-1-1-11-1-111-1-1-111-1-111-1-1-1-11111-1
χ1011111111111111-11-1-1-1111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-111-1-11111-1111-1-1-111-111-1-1-1-1-111-1-11111-1-1-1-11
χ1111111111111111-11-1-1-111111111111-11-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-1-1-1111-11-1-1-1-11111-1-1-1-111-1-111-1-11
χ1211111111111111-11-1-1-111111111111-11-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1111-1-1-1-1-1-111-1-11111-1-111-1-111-1
χ1311111111111111-11-1-1-11111111-1-1-1-11-1-1-1-1-111-1-1-111-1-11111-1-111-1-1-1-1-1111-1-11-1-11-1-111111-1-111-1-111-1-1-1-11
χ1411111111111111-11-1-1-11111111-1-1-1-11-1-1-1-1-111-1-1-111-1-111-1-111-1-1-1-1-1-1-1111-1-11-111-1-1111-1-111-1-111-1-11111-1
χ1511111111111111-11-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-111-1111111-1-111-1-1-1-11111-1-111-1
χ1611111111111111-11-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-1-1-111-11-11111-1-1-1-11111-1-1-1-111-1-11
χ17222222-2-222222222-222222-2-2-2-222-2-200222-200-200-2-2-2-2-22000000-2-222000000000200-200000000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-22200222-200-200-2-2-2-22-200000022-2-2000000000-200200000000000000000
χ19222222-2-2222222-222-2-2222-2-2-2-222-2-200-2-2-2200200-2-2222-2000000-2-222000000000-200200000000000000000
χ20222222-2-2222222-222-2-2222-2-2-2-2-2-22200-2-2-2200200-2-222-2200000022-2-2000000000200-200000000000000000
χ2122222-12222-1-1-122-1222-1-1-1-1-122222222-1-1-12-1-1-1-1-1-1-1-1-122000000-1-1-1-122-1-1-1-1220-1-1-1-1-1-1000000000000000
χ2222222-12222-1-1-122-1222-1-1-1-1-1222222-2-2-1-1-1211-111-1-1-1-122000000-1-1-1-1-2-21111-2-20-111-111000000000000000
χ2322222-12222-1-1-122-1222-1-1-1-1-122-2-2-2-222-1-1-12-1-1-1-1-1-1-1-1-1-2-2000000111122-1-1-1-1-2-20111111000000000000000
χ2422222-12222-1-1-122-1222-1-1-1-1-122-2-2-2-2-2-2-1-1-1211-111-1-1-1-1-2-20000001111-2-211112201-1-11-1-1000000000000000
χ2522222-12222-1-1-12-2-1-2-2-2-1-1-1-1-12222222-2111-2-1-1111-1-111-2-2000000-1-1-1-1-22-1-111-2201-1-1111000000000000000
χ2622222-12222-1-1-12-2-1-2-2-2-1-1-1-1-1222222-22111-2111-1-1-1-111-2-2000000-1-1-1-12-211-1-12-201111-1-1000000000000000
χ2722222-12222-1-1-12-2-1-2-2-2-1-1-1-1-122-2-2-2-22-2111-2-1-1111-1-111220000001111-22-1-1112-20-111-1-1-1000000000000000
χ2822222-12222-1-1-12-2-1-2-2-2-1-1-1-1-122-2-2-2-2-22111-2111-1-1-1-1112200000011112-211-1-1-220-1-1-1-111000000000000000
χ2922222-1-2-222-1-1-122-1-222-1-1-111-2-222-2-200-1-1-1-2−i3i31−i3i31111-2200000011-1-100−i3i3−i3i3000-1−i3i31−i3i3000000000000000
χ3022222-1-2-222-1-1-122-1-222-1-1-111-2-222-2-200-1-1-1-2i3−i31i3−i31111-2200000011-1-100i3−i3i3−i3000-1i3−i31i3−i3000000000000000
χ3122222-1-2-222-1-1-122-1-222-1-1-111-2-2-2-22200-1-1-1-2−i3i31−i3i311112-2000000-1-11100−i3i3−i3i30001i3−i3-1i3−i3000000000000000
χ3222222-1-2-222-1-1-122-1-222-1-1-111-2-2-2-22200-1-1-1-2i3−i31i3−i311112-2000000-1-11100i3−i3i3−i30001−i3i3-1−i3i3000000000000000
χ3322222-1-2-222-1-1-12-2-12-2-2-1-1-111-2-222-2-2001112−i3i3-1i3−i311-1-12-200000011-1-100−i3i3i3−i30001−i3i3-1i3−i3000000000000000
χ3422222-1-2-222-1-1-12-2-12-2-2-1-1-111-2-222-2-2001112i3−i3-1−i3i311-1-12-200000011-1-100i3−i3−i3i30001i3−i3-1−i3i3000000000000000
χ3522222-1-2-222-1-1-12-2-12-2-2-1-1-111-2-2-2-222001112−i3i3-1i3−i311-1-1-22000000-1-11100−i3i3i3−i3000-1i3−i31−i3i3000000000000000
χ3622222-1-2-222-1-1-12-2-12-2-2-1-1-111-2-2-2-222001112i3−i3-1−i3i311-1-1-22000000-1-11100i3−i3−i3i3000-1−i3i31i3−i3000000000000000
χ372222-1222-1-1222-12-12-1-1-1-1-122-1-10000222-1-1-122222-1-1-1-1002222220000-1-1-1-1-1-1002000000-1-1-1-1-1-1-1-10000000
χ382222-1222-1-1222-12-12-1-1-1-1-122-1-10000222-1-1-122222-1-1-1-100-2-2-2-2-2-20000-1-1-1-1-1-100-2000000111111110000000
χ392222-1222-1-1222-12-12-1-1-1-1-122-1-10000-2-22-1-1-1-2-22-2-2-1-1-1-1002222-2-2000011111100-2000000-1-1-1-111110000000
χ402222-1222-1-1222-12-12-1-1-1-1-122-1-10000-2-22-1-1-1-2-22-2-2-1-1-1-100-2-2-2-22200001111110020000001111-1-1-1-10000000
χ412222-1222-1-1222-1-2-1-211-1-1-122-1-100002-2-211122-2-2-2-1-1110022-2-22200001-1-1-11100-2000000-1-111-1-1110000000
χ422222-1222-1-1222-1-2-1-211-1-1-122-1-100002-2-211122-2-2-2-1-11100-2-222-2-200001-1-1-11100200000011-1-111-1-10000000
χ432222-1222-1-1222-1-2-1-211-1-1-122-1-10000-22-2111-2-2-222-1-1110022-2-2-2-20000-1111-1-1002000000-1-11111-1-10000000
χ442222-1222-1-1222-1-2-1-211-1-1-122-1-10000-22-2111-2-2-222-1-11100-2-222220000-1111-1-100-200000011-1-1-1-1110000000
χ452-2-22222-2-22-22-2-202000-2-222-22-22i−2i2i−2i000000000002-20000002i−2i002i−2i2i−2i000000000000000002i−2i00002-200000
χ462-2-22222-2-22-22-2-202000-2-222-22-22i−2i2i−2i000000000002-2000000−2i2i002i−2i2i−2i00000000000000000−2i2i0000-2200000
χ472-2-22222-2-22-22-2-202000-2-222-22-2−2i2i−2i2i000000000002-20000002i−2i00−2i2i−2i2i000000000000000002i−2i0000-2200000
χ482-2-22222-2-22-22-2-202000-2-222-22-2−2i2i−2i2i000000000002-2000000−2i2i00−2i2i−2i2i00000000000000000−2i2i00002-200000
χ492-2-2222-22-22-22-2-202000-2-22-22-222i−2i−2i2i00000000000-2200002i−2i0000−2i2i2i−2i0000000000000002i−2i000000002-2000
χ502-2-2222-22-22-22-2-202000-2-22-22-222i−2i−2i2i00000000000-220000−2i2i0000−2i2i2i−2i000000000000000−2i2i00000000-22000
χ512-2-2222-22-22-22-2-202000-2-22-22-22−2i2i2i−2i00000000000-2200002i−2i00002i−2i−2i2i0000000000000002i−2i00000000-22000
χ522-2-2222-22-22-22-2-202000-2-22-22-22−2i2i2i−2i00000000000-220000−2i2i00002i−2i−2i2i000000000000000−2i2i000000002-2000
χ534444-24-4-4-2-2444-24-2-4-2-2-2-2-2-4-4220000004-2-2200-4002222000000000000000000000000000000000000000000
χ544444-24-4-4-2-2444-2-4-2422-2-2-2-4-422000000-422-20040022-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2000044-211-2-2-2-2-2-21111000000000000-2-21111000000000000000000000000
χ564444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-20000-4-4-211-222-222111100000000000022-1-1-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-41-422111-2-2-2-200004-42-1-12-2-222211-1-10000000000002-211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-422111-2-2-2-20000-442-1-12222-2-211-1-1000000000000-22-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-241-4-2-21112222000000-2112−2i32i32−2i32i3-1-1-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-241-4-2-21112222000000-21122i3−2i322i3−2i3-1-1-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-2-4142211122220000002-1-1-2−2i32i3-22i3−2i3-1-11100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-2-4142211122220000002-1-1-22i3−2i3-2−2i32i3-1-11100000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-444004-4-4-44-4040004-4-40000000000000000000000000000022−220000000000000000000000022−22000000000
χ6444-4-444004-4-4-44-4040004-4-400000000000000000000000000000−222200000000000000000000000−2222000000000
χ6544-4-4-2400-22-4-4420-20−2i32i3-22200000000000−2i32i3000000000000000022−2200000000000000000000000−22i6−i60000000
χ6644-4-4-2400-22-4-4420-20−2i32i3-22200000000000−2i32i30000000000000000−2222000000000000000000000002−2−i6i60000000
χ6744-4-4-2400-22-4-4420-202i3−2i3-222000000000002i3−2i3000000000000000022−2200000000000000000000000−22−i6i60000000
χ6844-4-4-2400-22-4-4420-202i3−2i3-222000000000002i3−2i30000000000000000−2222000000000000000000000002−2i6−i60000000
χ694-44-44400-4-44-4-4404000-44-400000000000000000000000000000000000000000000000000000000000000−2i22i20
χ704-44-44400-4-44-4-4404000-44-4000000000000000000000000000000000000000000000000000000000000002i2−2i20
χ714-4-444-24-4-442-22-40-200022-2-224-44i−4i4i−4i00000000000-220000000000−2i2i−2i2i000000000000000000000000000000
χ724-4-444-24-4-442-22-40-200022-2-224-4−4i4i−4i4i00000000000-2200000000002i−2i2i−2i000000000000000000000000000000
χ734-4-444-2-44-442-22-40-200022-22-2-444i−4i−4i4i000000000002-200000000002i−2i−2i2i000000000000000000000000000000
χ744-4-444-2-44-442-22-40-200022-22-2-44−4i4i4i−4i000000000002-20000000000−2i2i2i−2i000000000000000000000000000000
χ754-4-44-244-42-2-44-420-200022-24-4-22000000000000000-220000004i−4i00000000000000000000000−2i2i00000000000
χ764-4-44-244-42-2-44-420-200022-24-4-22000000000000000-22000000−4i4i000000000000000000000002i−2i00000000000
χ774-4-44-24-442-2-44-420-200022-2-442-20000000000000002-200004i−4i00000000000000000000000−2i2i0000000000000
χ784-4-44-24-442-2-44-420-200022-2-442-20000000000000002-20000−4i4i000000000000000000000002i−2i0000000000000
χ7988-8-88-4008-844-4-80-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-400-4444-44020−4i34i32-2-2000000000002i3−2i30000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4444-440204i3−4i32-2-200000000000−2i32i30000000000000000000000000000000000000000000000000000
χ828-88-88-400-8-8-44480-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4800448-8-8-40-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-40044-444-402000-22-20000000000000000000006i−6i000000000000000000000000000000000000000000
χ858-88-8-4-40044-444-402000-22-2000000000000000000000−6i6i000000000000000000000000000000000000000000
χ868-8-88-4-48-84-44-44402000-2-22-44-440000000000000002-200000000000000000000000000000000000000000000
χ878-8-88-4-4-884-44-44402000-2-224-44-4000000000000000-2200000000000000000000000000000000000000000000

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