Finite Group Databasebeta

← Group #11872434

Character table — Group #11872434

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order1222334466666623466612121212121244444466661212121212121212122244448812121212121212121212446681212121212121212242424244444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-11-1-11-1-1111111111111-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11111-1-11-1-11111111111-1-11111-1-1-1-1-1-1-1-111-11-1-1111-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-11111-1-11-1-11111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-111111111111111111-111-111-1-1-1-1111111-1-1111-1-1-111-1-1-11111-1-1-1-1-1-1-1
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
χ711111111111111111111111111-1-1-1-1-1-11111-1-11-1-1111111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-11111-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-11111111111-1-1-1
χ911111111111111-11-111111-1-11111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-11-1-1111-111-1-1-1-1-1-1-11111-1-111-1-111-1
χ1011111111111111-11-111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-11-1-1111-1-1-11-1-1-111-111-1-111-1-111-1-11
χ1111111111111111-11-111111-1-1111111-11-1-1-1-111-1-1-111-1-111-1-1-1-1-1-111111-111-1-1-11111-111-1-1-1-1-1-1-11111-1-1-1-11
χ1211111111111111-11-111111-1-1111111-11-1-1-1-111-1-1-111-1-1-1-1-111-11111111-111-1-1-11-1-1-1-11111-1-1-111-1-1-1-11111-1
χ1311111111111111-11-111111-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-1-11-1-111-1111-1111-1-11-1-111-1-1-1-111-1-11
χ1411111111111111-11-111111-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-111-11-1-11111111-1-1-1-11111-1-111-1
χ1511111111111111-11-111111-1-111-1-1-1-1-11-1-1-1-111-1-1-111-1-1111-1-11-1-1-1-1-1-11-111-1-11-11111-1-1-1-1111-1-111-1-11111-1
χ1611111111111111-11-111111-1-111-1-1-1-1-11-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-11-111-1-11-1-1-1-11-1-11111111-1-111-1-1-1-11
χ17222222-2-222222222-2222-2-2-2-2-2-222-2-200222200-200-2-2-2-200-200200-2-2220000000000020000-20000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-22200222200-200-2-2-2-200200-20022-2-200000000000-2000020000000000000
χ19222222-2-2222222-222222-2-222-2-222-2-200-2-2-2-200200-2-22200200-200-2-22200000000000-2000020000000000000
χ20222222-2-2222222-222222-2-222-2-2-2-22200-2-2-2-200200-2-22200-20020022-2-20000000000020000-20000000000000
χ2122222-122-1-122-122-12-1-1-122-1-1-1-10000222-1-1-122222-1-1-1-1220220220000-1-1-1-1-1-100-1-12000-1-1000-1-1-1-10000000
χ2222222-122-1-122-122-12-1-1-122-1-1-1-10000222-1-1-122222-1-1-1-1-2-20-2-20-2-20000-1-1-1-1-1-10011-20001100011110000000
χ2322222-122-1-122-122-12-1-1-122-1-1-1-10000-2-22-1-1-1-2-22-2-2-1-1-1-1220220-2-2000011111100-1-1-2000-1-100011110000000
χ2422222-122-1-122-122-12-1-1-122-1-1-1-10000-2-22-1-1-1-2-22-2-2-1-1-1-1-2-20-2-202200001111110011200011000-1-1-1-10000000
χ2522222-122-1-122-12-2-1-2-1-1-12211-1-100002-2-2111-2-2-222-1-111220-2-202200001-111-1-100-1-1-200011000-1-1110000000
χ2622222-122-1-122-12-2-1-2-1-1-12211-1-100002-2-2111-2-2-222-1-111-2-20220-2-200001-111-1-100112000-1-100011-1-10000000
χ2722222-122-1-122-12-2-1-2-1-1-12211-1-10000-22-211122-2-2-2-1-111220-2-20-2-20000-11-1-11100-1-120001100011-1-10000000
χ2822222-122-1-122-12-2-1-2-1-1-12211-1-10000-22-211122-2-2-2-1-111-2-20220220000-11-1-1110011-2000-1-1000-1-1110000000
χ292222-122222-1-12-12-12-1-1-1-1-12222222222-12-1-1-1-1-1-1-1-1-1-1-100200200-1-1-1-122-1-1-1-122000-1-1-100-1-1-100000000000
χ302222-122222-1-12-12-12-1-1-1-1-122222222-2-2-12-1-111-111-1-1-1-100200200-1-1-1-1-2-21111-2-2000-11100-11100000000000
χ312222-122222-1-12-12-12-1-1-1-1-12222-2-2-2-222-12-1-1-1-1-1-1-1-1-1-1-100-200-200111122-1-1-1-1-2-20001110011100000000000
χ322222-122222-1-12-12-12-1-1-1-1-12222-2-2-2-2-2-2-12-1-111-111-1-1-1-100-200-2001111-2-21111220001-1-1001-1-100000000000
χ332222-122222-1-12-1-2-1-2-1-1-1-1-1-2-22222222-21-211111-1-1-1-11100-200-200-1-1-1-1-2211-1-12-2000111001-1-100000000000
χ342222-122222-1-12-1-2-1-2-1-1-1-1-1-2-2222222-221-211-1-1111-1-11100-200-200-1-1-1-12-2-1-111-220001-1-10011100000000000
χ352222-122222-1-12-1-2-1-2-1-1-1-1-1-2-222-2-2-2-22-21-211111-1-1-1-111002002001111-2211-1-1-22000-1-1-100-11100000000000
χ362222-122222-1-12-1-2-1-2-1-1-1-1-1-2-222-2-2-2-2-221-211-1-1111-1-1110020020011112-2-1-1112-2000-11100-1-1-100000000000
χ372222-12-2-222-1-12-12-1-2-1-1-111-2-2-2-222-2-200-12-1-1−i3i31−i3i3111100-20020011-1-100−i3i3−i3i300000-1−i3i3001−i3i300000000000
χ382222-12-2-222-1-12-12-1-2-1-1-111-2-2-2-222-2-200-12-1-1i3−i31i3−i3111100-20020011-1-100i3−i3i3−i300000-1i3−i3001i3−i300000000000
χ392222-12-2-222-1-12-12-1-2-1-1-111-2-2-2-2-2-22200-12-1-1−i3i31−i3i3111100200-200-1-11100−i3i3−i3i3000001i3−i300-1i3−i300000000000
χ402222-12-2-222-1-12-12-1-2-1-1-111-2-2-2-2-2-22200-12-1-1i3−i31i3−i3111100200-200-1-11100i3−i3i3−i3000001−i3i300-1−i3i300000000000
χ412222-12-2-222-1-12-1-2-12-1-1-11122-2-222-2-2001-211−i3i3-1i3−i311-1-100200-20011-1-100−i3i3i3−i3000001−i3i300-1i3−i300000000000
χ422222-12-2-222-1-12-1-2-12-1-1-11122-2-222-2-2001-211i3−i3-1−i3i311-1-100200-20011-1-100i3−i3−i3i3000001i3−i300-1−i3i300000000000
χ432222-12-2-222-1-12-1-2-12-1-1-11122-2-2-2-222001-211−i3i3-1i3−i311-1-100-200200-1-11100−i3i3i3−i300000-1i3−i3001−i3i300000000000
χ442222-12-2-222-1-12-1-2-12-1-1-11122-2-2-2-222001-211i3−i3-1−i3i311-1-100-200200-1-11100i3−i3−i3i300000-1−i3i3001i3−i300000000000
χ452-22-2222-2-2-2-222-2020-2-222-2002-22i−2i2i−2i000000000002-2000002-20002i−2i2i−2i000000000000002-20000000002i−2i000
χ462-22-2222-2-2-2-222-2020-2-222-2002-22i−2i2i−2i000000000002-200000-220002i−2i2i−2i00000000000000-22000000000−2i2i000
χ472-22-2222-2-2-2-222-2020-2-222-2002-2−2i2i−2i2i000000000002-2000002-2000−2i2i−2i2i000000000000002-2000000000−2i2i000
χ482-22-2222-2-2-2-222-2020-2-222-2002-2−2i2i−2i2i000000000002-200000-22000−2i2i−2i2i00000000000000-220000000002i−2i000
χ492-22-222-22-2-2-222-2020-2-22-2200-222i−2i−2i2i00000000000-22002-2000000−2i2i2i−2i000000002-200000000000002i−2i00000
χ502-22-222-22-2-2-222-2020-2-22-2200-222i−2i−2i2i00000000000-2200-22000000−2i2i2i−2i00000000-220000000000000−2i2i00000
χ512-22-222-22-2-2-222-2020-2-22-2200-22−2i2i2i−2i00000000000-22002-20000002i−2i−2i2i000000002-20000000000000−2i2i00000
χ522-22-222-22-2-2-222-2020-2-22-2200-22−2i2i2i−2i00000000000-2200-220000002i−2i−2i2i00000000-2200000000000002i−2i00000
χ5344444-2-4-4-2-244-244-2-4-2-2-2-4-422220000004-2-2-200-4002222000000000000000000000000000000000000000000
χ5444444-2-4-4-2-244-24-4-24-2-2-2-4-4-2-222000000-42220040022-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-2000044-2-211-2-2-2-2-21111000000000000-2-21111000000000000000000000000
χ564444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-20000-4-4-2-21122-222111100000000000022-1-1-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-41-4111-2-222-2-200004-422-1-1222-2-211-1-10000000000002-2-1-111000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-4111-2-222-2-20000-4422-1-1-2-222211-1-1000000000000-2211-1-1000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-241-4111222222000000-2-211−2i32i32−2i32i3-1-1-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-241-4111222222000000-2-2112i3−2i322i3−2i3-1-1-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-2-41411122-2-22200000022-1-1−2i32i3-22i3−2i3-1-11100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-2-41411122-2-22200000022-1-12i3−2i3-2−2i32i3-1-11100000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-444004-4-4-4-440404-4-4000000000000000000000000000000000000000000000000000000000000000022−220
χ6444-4-444004-4-4-4-440404-4-40000000000000000000000000000000000000000000000000000000000000000−22220
χ654-44-44-24-422-44-2-40-2022-24-400-22000000000000000-22000004-4000000000000000000000-2200000000000000
χ664-44-44-24-422-44-2-40-2022-24-400-22000000000000000-2200000-440000000000000000000002-200000000000000
χ674-44-44-2-4422-44-2-40-2022-2-44002-20000000000000002-2004-4000000000000000000-2200000000000000000000
χ684-44-44-2-4422-44-2-40-2022-2-44002-20000000000000002-200-440000000000000000002-200000000000000000000
χ694-44-4-244-4-4-42-2420-2022-2-22004-44i−4i4i−4i00000000000-220000000000−2i2i−2i2i000000000000000000000000000000
χ704-44-4-244-4-4-42-2420-2022-2-22004-4−4i4i−4i4i00000000000-2200000000002i−2i2i−2i000000000000000000000000000000
χ714-44-4-24-44-4-42-2420-2022-22-200-444i−4i−4i4i000000000002-200000000002i−2i−2i2i000000000000000000000000000000
χ724-44-4-24-44-4-42-2420-2022-22-200-44−4i4i4i−4i000000000002-20000000000−2i2i2i−2i000000000000000000000000000000
χ734-4-444400-444-4-4-4040-44-40000000000000000000000000000000−2i22i200000000000000000000000−2i22i2000000000
χ744-4-444400-444-4-4-4040-44-400000000000000000000000000000002i2−2i2000000000000000000000002i2−2i2000000000
χ754-4-444-2002-24-42-40-202-220023−23000000000000000000023−23000000−2i22i200000000000000000000000i2−i2i6−i60000000
χ764-4-444-2002-24-42-40-202-220023−23000000000000000000023−230000002i2−2i200000000000000000000000−i2i2−i6i60000000
χ774-4-444-2002-24-42-40-202-2200−23230000000000000000000−2323000000−2i22i200000000000000000000000i2−i2−i6i60000000
χ784-4-444-2002-24-42-40-202-2200−23230000000000000000000−23230000002i2−2i200000000000000000000000−i2i2i6−i60000000
χ7988-8-88-400-44-8-8480-40-4440000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-48008-844-8-40-40-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-44444-40202-2-2000000000000006-6000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44444-40202-2-200000000000000-66000000000000000000000000000000000000000000000000000
χ838-88-8-4-48-8444-4-44020-2-22-4400-440000000000000002-200000000000000000000000000000000000000000000
χ848-88-8-4-4-88444-4-44020-2-224-4004-4000000000000000-2200000000000000000000000000000000000000000000
χ858-8-88-4800-88-44-840-404-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-4-4444020-22-20043−430000000000000000000−2323000000000000000000000000000000000000000000
χ878-8-88-4-4004-4-4444020-22-200−4343000000000000000000023−23000000000000000000000000000000000000000000

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