Finite Group Databasebeta

← Group #11872592

Character table — Group #11872592

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order1222334466666623466612121212121244444466661212121212121212124444448812121212121212121212246681212121212121212242424244444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-11-1-1-1-111111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-111111-1-1-1-111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-111-11111-1-1-1-1111111-1-1-1-11-11111-1-1-11111-1-1-1-1-1-1-1
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
χ711111111111111111111111111-1-1-1-1-1-111111-1-1-1-11111-111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1
χ911111111111111-11-111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1111111-1111-1-11-111-1-111-1-1-1-1-111-1-111-1-111-1
χ1011111111111111-11-111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1111-1-11-1111-1-1-111-1-1-1-1-111-1-111-1-11
χ1111111111111111-11-111111-1-1111111-11-1-1-1-1-111-1-111-1-1-111-1-1-1-1-111111-1-1-111-11-1-11-111-1-1-111-1-11111-1-1-1-11
χ1211111111111111-11-111111-1-1111111-11-1-1-1-1-111-1-111-1-1-1-1-1-1111111111-1-1-111-11-1-1-1-1-1-111-11111-1-1-1-11111-1
χ1311111111111111-11-111111-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1111-1-1-11-1-1-1111-1-111111-1-1-1-111-1-11
χ1411111111111111-11-111111-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-11-1-1111-1-1-1-1-1-1-1111-1-1-11-1-111-1-111111-1-11111-1-111-1
χ1511111111111111-11-111111-1-111-1-1-1-1-11-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1111-1111111-1-11-1-1-1-111-1-11111-1
χ1611111111111111-11-111111-1-111-1-1-1-1-11-1-1-1-1-111-1-111-1-11-1-111111-1-1-1-11-1-1-1111-111-11-1-1111-1-111-1-111-1-1-1-11
χ17222222-2-222222222-2222-2-2-2-2-2-222-2-2002222-20000-2-2-2-2-2002000022-2-200000000000-2000020000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-222002222-20000-2-2-2-2200-20000-2-2220000000000020000-20000000000000
χ19222222-2-2222222-222222-2-222-2-222-2-200-2-2-2-220000-2-222200-2000022-2-20000000000020000-20000000000000
χ20222222-2-2222222-222222-2-222-2-2-2-22200-2-2-2-220000-2-222-20020000-2-22200000000000-2000020000000000000
χ2122222-1222-12-12-12-12-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-120020000-1-1-1-122-1-1-1-122-1-10-10000-1-1-100000000000
χ2222222-1222-12-12-12-12-1-1-1-1-122222222-2-22-1-1-1-11111-1-1-1-120020000-1-1-1-1-2-21111-2-2110-10000-11100000000000
χ2322222-1222-12-12-12-12-1-1-1-1-12222-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-200-20000111122-1-1-1-1-2-21101000011100000000000
χ2422222-1222-12-12-12-12-1-1-1-1-12222-2-2-2-2-2-22-1-1-1-11111-1-1-1-1-200-200001111-2-2111122-1-10100001-1-100000000000
χ2522222-1222-12-12-1-2-1-2-1-1-1-1-1-2-22222222-2-2111111-1-1-1-111-200-20000-1-1-1-1-22-1-1112-2-1-101000011100000000000
χ2622222-1222-12-12-1-2-1-2-1-1-1-1-1-2-2222222-22-21111-1-111-1-111-200-20000-1-1-1-12-211-1-1-22110100001-1-100000000000
χ2722222-1222-12-12-1-2-1-2-1-1-1-1-1-2-222-2-2-2-22-2-2111111-1-1-1-111200200001111-22-1-111-22110-10000-1-1-100000000000
χ2822222-1222-12-12-1-2-1-2-1-1-1-1-1-2-222-2-2-2-2-22-21111-1-111-1-1112002000011112-211-1-12-2-1-10-10000-11100000000000
χ2922222-1-2-22-12-12-12-1-2-1-1-111-2-2-2-222-2-2002-1-1-11−i3i3−i3i31111-20020000-1-11100−i3i3−i3i300−i3i3010000-1−i3i300000000000
χ3022222-1-2-22-12-12-12-1-2-1-1-111-2-2-2-222-2-2002-1-1-11i3−i3i3−i31111-20020000-1-11100i3−i3i3−i300i3−i3010000-1i3−i300000000000
χ3122222-1-2-22-12-12-12-1-2-1-1-111-2-2-2-2-2-222002-1-1-11−i3i3−i3i31111200-2000011-1-100−i3i3−i3i300i3−i30-100001i3−i300000000000
χ3222222-1-2-22-12-12-12-1-2-1-1-111-2-2-2-2-2-222002-1-1-11i3−i3i3−i31111200-2000011-1-100i3−i3i3−i300−i3i30-100001−i3i300000000000
χ3322222-1-2-22-12-12-1-2-12-1-1-11122-2-222-2-200-2111-1−i3i3i3−i311-1-1200-20000-1-11100i3−i3−i3i300i3−i30-100001−i3i300000000000
χ3422222-1-2-22-12-12-1-2-12-1-1-11122-2-222-2-200-2111-1i3−i3−i3i311-1-1200-20000-1-11100−i3i3i3−i300−i3i30-100001i3−i300000000000
χ3522222-1-2-22-12-12-1-2-12-1-1-11122-2-2-2-22200-2111-1−i3i3i3−i311-1-1-2002000011-1-100i3−i3−i3i300−i3i3010000-1i3−i300000000000
χ3622222-1-2-22-12-12-1-2-12-1-1-11122-2-2-2-22200-2111-1i3−i3−i3i311-1-1-2002000011-1-100−i3i3i3−i300i3−i3010000-1−i3i300000000000
χ372222-1222-12-12-122-12-1-1-122-1-1-1-1000022-12-1-122222-1-1-1-1022022220000-1-1-1-1-1-1000020-1-1-1-1000-1-1-1-10000000
χ382222-1222-12-12-122-12-1-1-122-1-1-1-1000022-12-1-122222-1-1-1-10-2-20-2-2-2-20000-1-1-1-1-1-10000-20111100011110000000
χ392222-1222-12-12-122-12-1-1-122-1-1-1-10000-2-2-12-1-12-2-2-2-2-1-1-1-1022022-2-200001111110000-20-1-1-1-100011110000000
χ402222-1222-12-12-122-12-1-1-122-1-1-1-10000-2-2-12-1-12-2-2-2-2-1-1-1-10-2-20-2-22200001111110000201111000-1-1-1-10000000
χ412222-1222-12-12-12-2-1-2-1-1-12211-1-100002-21-211-2-2-222-1-1110220-2-22200001-1-1-1110000-20-1-111000-1-1110000000
χ422222-1222-12-12-12-2-1-2-1-1-12211-1-100002-21-211-2-2-222-1-1110-2-2022-2-200001-1-1-11100002011-1-100011-1-10000000
χ432222-1222-12-12-12-2-1-2-1-1-12211-1-10000-221-211-222-2-2-1-1110220-2-2-2-20000-1111-1-1000020-1-11100011-1-10000000
χ442222-1222-12-12-12-2-1-2-1-1-12211-1-10000-221-211-222-2-2-1-1110-2-2022220000-1111-1-10000-2011-1-1000-1-1110000000
χ452-2-22222-222-2-2-2-2020-2-222-2002-22i−2i2i−2i000000000002-20000002i−2i002i−2i2i−2i000000000000002i−2i0000000002-2000
χ462-2-22222-222-2-2-2-2020-2-222-2002-22i−2i2i−2i000000000002-2000000−2i2i002i−2i2i−2i00000000000000−2i2i000000000-22000
χ472-2-22222-222-2-2-2-2020-2-222-2002-2−2i2i−2i2i000000000002-20000002i−2i00−2i2i−2i2i000000000000002i−2i000000000-22000
χ482-2-22222-222-2-2-2-2020-2-222-2002-2−2i2i−2i2i000000000002-2000000−2i2i00−2i2i−2i2i00000000000000−2i2i0000000002-2000
χ492-2-2222-2222-2-2-2-2020-2-22-2200-222i−2i−2i2i00000000000-220002i−2i000002i−2i−2i2i0000000000002i−2i0000000002-200000
χ502-2-2222-2222-2-2-2-2020-2-22-2200-222i−2i−2i2i00000000000-22000−2i2i000002i−2i−2i2i000000000000−2i2i000000000-2200000
χ512-2-2222-2222-2-2-2-2020-2-22-2200-22−2i2i2i−2i00000000000-220002i−2i00000−2i2i2i−2i0000000000002i−2i000000000-2200000
χ522-2-2222-2222-2-2-2-2020-2-22-2200-22−2i2i2i−2i00000000000-22000−2i2i00000−2i2i2i−2i000000000000−2i2i0000000002-200000
χ534444-24-4-4-24-24-244-2-4-2-2-2-4-42222000000-24-2-2-400002222000000000000000000000000000000000000000000
χ544444-24-4-4-24-24-24-4-24-2-2-2-4-4-2-2220000002-4224000022-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-2000044-2-211-2-2-2-2-21111000000000000-2-21111000000000000000000000000
χ564444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-20000-4-4-2-211-22222111100000000000022-1-1-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-41-4111-2-222-2-200004-422-1-1222-2-211-1-10000000000002-211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-4111-2-222-2-20000-4422-1-12-2-22211-1-1000000000000-22-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-241-4111222222000000-2-2112−2i32i3−2i32i3-1-1-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-241-4111222222000000-2-21122i3−2i32i3−2i3-1-1-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-2-41411122-2-22200000022-1-1-2−2i32i32i3−2i3-1-11100000000000000−i3i3i3−i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-2-41411122-2-22200000022-1-1-22i3−2i3−2i32i3-1-11100000000000000i3−i3−i3i3000000000000000000000000
χ6344-4-44400-4-444-4-40404-4-4000000000000000000000000000000000000000000000000000000000000000022−220
χ6444-4-44400-4-444-4-40404-4-40000000000000000000000000000000000000000000000000000000000000000−22220
χ654-44-44400-4-4-4-444040-44-40000000000000000000000000000000−2i22i200000000000000000000000−2i22i2000000000
χ664-44-44400-4-4-4-444040-44-400000000000000000000000000000002i2−2i2000000000000000000000002i2−2i2000000000
χ674-44-4-24002-42-4-240-202-220023−23000000000000000000023−23000000−2i22i200000000000000000000000i2−i2i6−i60000000
χ684-44-4-24002-42-4-240-202-220023−23000000000000000000023−230000002i2−2i200000000000000000000000−i2i2−i6i60000000
χ694-44-4-24002-42-4-240-202-2200−23230000000000000000000−2323000000−2i22i200000000000000000000000i2−i2−i6i60000000
χ704-44-4-24002-42-4-240-202-2200−23230000000000000000000−23230000002i2−2i200000000000000000000000−i2i2i6−i60000000
χ714-4-444-24-44-2-42-420-2022-2-22004-44i−4i4i−4i00000000000-220000000000−2i2i−2i2i000000000000000000000000000000
χ724-4-444-24-44-2-42-420-2022-2-22004-4−4i4i−4i4i00000000000-2200000000002i−2i2i−2i000000000000000000000000000000
χ734-4-444-2-444-2-42-420-2022-22-200-444i−4i−4i4i000000000002-20000000000−2i2i2i−2i000000000000000000000000000000
χ744-4-444-2-444-2-42-420-2022-22-200-44−4i4i4i−4i000000000002-200000000002i−2i−2i2i000000000000000000000000000000
χ754-4-44-244-4-242-42-40-2022-24-400-22000000000000000-220000004i−4i00000000000000000000−2i2i00000000000000
χ764-4-44-244-4-242-42-40-2022-24-400-22000000000000000-22000000−4i4i000000000000000000002i−2i00000000000000
χ774-4-44-24-44-242-42-40-2022-2-44002-20000000000000002-20004i−4i000000000000000000000−2i2i0000000000000000
χ784-4-44-24-44-242-42-40-2022-2-44002-20000000000000002-2000−4i4i0000000000000000000002i−2i0000000000000000
χ7988-8-88-400-848-4-840-40-4440000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-48004-8-484-80-40-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-40044-4-4440202-2-2000000000000006-6000000000000000000000000000000000000000000000000000
χ8288-8-8-4-40044-4-4440202-2-200000000000000-66000000000000000000000000000000000000000000000000000
χ838-88-88-400-84-848-40-404-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-4004444-4-4020-22-20043−430000000000000000000−2323000000000000000000000000000000000000000000
χ858-88-8-4-4004444-4-4020-22-200−4343000000000000000000023−23000000000000000000000000000000000000000000
χ868-8-88-4-48-8-4-44444020-2-22-4400-440000000000000002-200000000000000000000000000000000000000000000
χ878-8-88-4-4-88-4-44444020-2-224-4004-4000000000000000-2200000000000000000000000000000000000000000000

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