Finite Group Databasebeta

← Group #11872810

Character table — Group #11872810

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order1222334466666623466666121212124444446661212121212121212121222224488121212121212121212124466668121212121212242424244444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-111-1-1111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11111-1-11-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-11-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-11111-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-11111111111111111111-1-111-1-1-1-1111111-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1
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
χ711111111111111111111111111-1-1-1-1-1-11111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-11111-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-11111111111-1-1-1
χ911111111111111-11-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-11-1-111-1111-1-1-1-1-1-1-11111-1-111-1-111-1
χ1011111111111111-11-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-11-1-111-11-1-1111-1-1-1-111-1-111-1-111-1-11
χ1111111111111111-11-1-1-111111111111-11-1-1-1-111-1-1-111-1-111-1-1-1-1-1-111111-111-1-11-111-1-11-111-1-1-1-1-11111-1-1-1-11
χ1211111111111111-11-1-1-111111111111-11-1-1-1-111-1-1-111-1-1-1-111-1-11111111-111-1-11-1-1-111-1-111-1-1-111-1-1-1-11111-1
χ1311111111111111-11-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-11-1-1111-111-1-1-11111-1-111-1-1-1-111-1-11
χ1411111111111111-11-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-1111-1-1-11111111-1-1-1-11111-1-111-1
χ1511111111111111-11-1-1-11111111-1-1-1-1-11-1-1-1-111-1-1-111-1-111-1-111-1-1-1-1-1-11-111-1-1-1111-1-111-1-1111-1-111-1-11111-1
χ1611111111111111-11-1-1-11111111-1-1-1-1-11-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-11-111-1-1-11-1-111-11-1-111111-1-111-1-1-1-11
χ17222222-2-222222222-222222-2-2-2-222-2-200222-200-200-2-2-2-20000-220022-2-20000000000000-20020000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-22200222-200-200-2-2-2-200002-200-2-2220000000000000200-20000000000000
χ19222222-2-2222222-222-2-2222-2-2-2-222-2-200-2-2-2200200-2-22200002-20022-2-20000000000000200-20000000000000
χ20222222-2-2222222-222-2-2222-2-2-2-2-2-22200-2-2-2200200-2-2220000-2200-2-2220000000000000-20020000000000000
χ2122222-122-1-1-12222-12-1-1-1-1-122-1-10000222-1-1-122222-1-1-1-1222200220000-1-1-1-1-1-100-1-1-1-12000000-1-1-1-10000000
χ2222222-122-1-1-12222-12-1-1-1-1-122-1-10000222-1-1-122222-1-1-1-1-2-2-2-200-2-20000-1-1-1-1-1-1001111-200000011110000000
χ2322222-122-1-1-12222-12-1-1-1-1-122-1-10000-2-22-1-1-1-2-22-2-2-1-1-1-1222200-2-2000011111100-1-1-1-1-200000011110000000
χ2422222-122-1-1-12222-12-1-1-1-1-122-1-10000-2-22-1-1-1-2-22-2-2-1-1-1-1-2-2-2-2002200001111110011112000000-1-1-1-10000000
χ2522222-122-1-1-1222-2-1-211-1-1-122-1-100002-2-2111-2-2-222-1-11122-2-2002200001-111-1-100-1-111-2000000-1-1110000000
χ2622222-122-1-1-1222-2-1-211-1-1-122-1-100002-2-2111-2-2-222-1-111-2-22200-2-200001-111-1-10011-1-1200000011-1-10000000
χ2722222-122-1-1-1222-2-1-211-1-1-122-1-10000-22-211122-2-2-2-1-11122-2-200-2-20000-11-1-11100-1-111200000011-1-10000000
χ2822222-122-1-1-1222-2-1-211-1-1-122-1-10000-22-211122-2-2-2-1-111-2-22200220000-11-1-1110011-1-1-2000000-1-1110000000
χ292222-1222222-1-1-12-1222-1-1-1-1-122222222-1-1-12-1-1-1-1-1-1-1-1-100002200-1-1-1-122-1-1-1-12200000-1-1-1-1-1-100000000000
χ302222-1222222-1-1-12-1222-1-1-1-1-1222222-2-2-1-1-1211-111-1-1-1-100002200-1-1-1-1-2-21111-2-200000-111-11100000000000
χ312222-1222222-1-1-12-1222-1-1-1-1-122-2-2-2-222-1-1-12-1-1-1-1-1-1-1-1-10000-2-200111122-1-1-1-1-2-20000011111100000000000
χ322222-1222222-1-1-12-1222-1-1-1-1-122-2-2-2-2-2-2-1-1-1211-111-1-1-1-10000-2-2001111-2-2111122000001-1-11-1-100000000000
χ332222-1222222-1-1-1-2-1-2-2-2-1-1-1-1-12222222-2111-2111-1-1-1-1110000-2-200-1-1-1-1-2211-1-1-22000001111-1-100000000000
χ342222-1222222-1-1-1-2-1-2-2-2-1-1-1-1-1222222-22111-2-1-1111-1-1110000-2-200-1-1-1-12-2-1-1112-2000001-1-111100000000000
χ352222-1222222-1-1-1-2-1-2-2-2-1-1-1-1-122-2-2-2-22-2111-2111-1-1-1-111000022001111-2211-1-12-200000-1-1-1-11100000000000
χ362222-1222222-1-1-1-2-1-2-2-2-1-1-1-1-122-2-2-2-2-22111-2-1-1111-1-1110000220011112-2-1-111-2200000-111-1-1-100000000000
χ372222-12-2-2222-1-1-12-1-222-1-1-111-2-222-2-200-1-1-1-2−i3i31−i3i311110000-2200-1-11100−i3i3−i3i300000001−i3i3-1−i3i300000000000
χ382222-12-2-2222-1-1-12-1-222-1-1-111-2-222-2-200-1-1-1-2i3−i31i3−i311110000-2200-1-11100i3−i3i3−i300000001i3−i3-1i3−i300000000000
χ392222-12-2-2222-1-1-12-1-222-1-1-111-2-2-2-22200-1-1-1-2−i3i31−i3i3111100002-20011-1-100−i3i3−i3i30000000-1i3−i31i3−i300000000000
χ402222-12-2-2222-1-1-12-1-222-1-1-111-2-2-2-22200-1-1-1-2i3−i31i3−i3111100002-20011-1-100i3−i3i3−i30000000-1−i3i31−i3i300000000000
χ412222-12-2-2222-1-1-1-2-12-2-2-1-1-111-2-222-2-2001112−i3i3-1i3−i311-1-100002-200-1-11100−i3i3i3−i30000000-1−i3i31i3−i300000000000
χ422222-12-2-2222-1-1-1-2-12-2-2-1-1-111-2-222-2-2001112i3−i3-1−i3i311-1-100002-200-1-11100i3−i3−i3i30000000-1i3−i31−i3i300000000000
χ432222-12-2-2222-1-1-1-2-12-2-2-1-1-111-2-2-2-222001112−i3i3-1i3−i311-1-10000-220011-1-100−i3i3i3−i300000001i3−i3-1−i3i300000000000
χ442222-12-2-2222-1-1-1-2-12-2-2-1-1-111-2-2-2-222001112i3−i3-1−i3i311-1-10000-220011-1-100i3−i3−i3i300000001−i3i3-1i3−i300000000000
χ4522-2-2222-2-2-22-22-202000-2-222-22-22i−2i2i−2i000000000002-200002-200002i−2i2i−2i00000000002-200000000000002i−2i000
χ4622-2-2222-2-2-22-22-202000-2-222-22-22i−2i2i−2i000000000002-20000-2200002i−2i2i−2i0000000000-220000000000000−2i2i000
χ4722-2-2222-2-2-22-22-202000-2-222-22-2−2i2i−2i2i000000000002-200002-20000−2i2i−2i2i00000000002-20000000000000−2i2i000
χ4822-2-2222-2-2-22-22-202000-2-222-22-2−2i2i−2i2i000000000002-20000-220000−2i2i−2i2i0000000000-2200000000000002i−2i000
χ4922-2-222-22-2-22-22-202000-2-22-22-222i−2i−2i2i00000000000-22002-20000002i−2i−2i2i000000002-200000000000002i−2i00000
χ5022-2-222-22-2-22-22-202000-2-22-22-222i−2i−2i2i00000000000-2200-220000002i−2i−2i2i00000000-220000000000000−2i2i00000
χ5122-2-222-22-2-22-22-202000-2-22-22-22−2i2i2i−2i00000000000-22002-2000000−2i2i2i−2i000000002-20000000000000−2i2i00000
χ5222-2-222-22-2-22-22-202000-2-22-22-22−2i2i2i−2i00000000000-2200-22000000−2i2i2i−2i00000000-2200000000000002i−2i00000
χ5344444-2-4-4-2-2-24444-2-4-2-2-2-2-2-4-4220000004-2-2200-4002222000000000000000000000000000000000000000000
χ5444444-2-4-4-2-2-2444-4-2422-2-2-2-4-422000000-422-20040022-2-2000000000000000000000000000000000000000000
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
χ574444-2-244-2-2-2-2-2-2-41-422111-2-2-2-200004-42-1-12222-2-211-1-10000000000002-2-1-111000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-422111-2-2-2-20000-442-1-12-2-222211-1-1000000000000-2211-1-1000000000000000000000000
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
χ6344-4-44-24-422-2-44-40-200022-24-4-22000000000000000-2200004-4000000000000000000-22000000000000000000
χ6444-4-44-24-422-2-44-40-200022-24-4-22000000000000000-220000-440000000000000000002-2000000000000000000
χ6544-4-44-2-4422-2-44-40-200022-2-442-20000000000000002-2004-4000000000000000000-2200000000000000000000
χ6644-4-44-2-4422-2-44-40-200022-2-442-20000000000000002-200-440000000000000000002-200000000000000000000
χ6744-4-4-244-4-4-442-220-200022-2-224-44i−4i4i−4i00000000000-220000000000−2i2i−2i2i000000000000000000000000000000
χ6844-4-4-244-4-4-442-220-200022-2-224-4−4i4i−4i4i00000000000-2200000000002i−2i2i−2i000000000000000000000000000000
χ6944-4-4-24-44-4-442-220-200022-22-2-444i−4i−4i4i000000000002-20000000000−2i2i2i−2i000000000000000000000000000000
χ7044-4-4-24-44-4-442-220-200022-22-2-44−4i4i4i−4i000000000002-200000000002i−2i−2i2i000000000000000000000000000000
χ714-44-44400-44-44-4-404000-44-400000000000000000000000000000000000000000000000000000000000000−2i22i20
χ724-44-44400-44-44-4-404000-44-4000000000000000000000000000000000000000000000000000000000000002i2−2i20
χ734-4-4444004-4-4-4-44040004-4-400000000000000000000000000000−2i22i200000000000000000000000−2i22i2000000000
χ744-4-4444004-4-4-4-44040004-4-4000000000000000000000000000002i2−2i2000000000000000000000002i2−2i2000000000
χ754-4-444-200-222-4-440-20−2i32i3-22200000000000−2i32i30000000000000000−2i22i200000000000000000000000i2−i26−60000000
χ764-4-444-200-222-4-440-20−2i32i3-22200000000000−2i32i300000000000000002i2−2i200000000000000000000000−i2i2−660000000
χ774-4-444-200-222-4-440-202i3−2i3-222000000000002i3−2i30000000000000000−2i22i200000000000000000000000i2−i2−660000000
χ784-4-444-200-222-4-440-202i3−2i3-222000000000002i3−2i300000000000000002i2−2i200000000000000000000000−i2i26−60000000
χ7988-8-8-4-48-844-44-4402000-2-22-44-440000000000000002-200000000000000000000000000000000000000000000
χ8088-8-8-4-4-8844-44-4402000-2-224-44-4000000000000000-2200000000000000000000000000000000000000000000
χ818-88-88-4004-448-8-80-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4800-88-8-4440-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-4004-44-44402000-22-20000000000000000000006i−6i000000000000000000000000000000000000000000
χ848-88-8-4-4004-44-44402000-22-2000000000000000000000−6i6i000000000000000000000000000000000000000000
χ858-8-88-48008-8-844-40-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-44444-4020−4i34i32-2-2000000000002i3−2i30000000000000000000000000000000000000000000000000000
χ878-8-88-4-400-44444-40204i3−4i32-2-200000000000−2i32i30000000000000000000000000000000000000000000000000000

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