Finite Group Databasebeta

← Group #11872278

Character table — Group #11872278

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order1222334466666623466666121212124444246666612121212121212124444448812121212666121212246681212121212121212242424242244888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11-1-11111-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-11-1-11111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-1-1111111-1-1-1-1111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1
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
χ711111111111111111111111111-1-1-1-1-1-11-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-111111111-1-1-1
χ911111111111111-11-1-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1111111111-1-1-1-11-1-1-1-1-11111-1-111-1-111-1-111-1
χ1011111111111111-11-1-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111-1-1-1-11-1-11-1-111-1-111-1-111-1-111-1-11
χ1111111111111111-11-1-1-111111111111-11-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-11111-1111-1-1-1-111-1-1-1-11111-1-1-1-11
χ1211111111111111-11-1-1-111111111111-11-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-11111-111-1-1-1-1-1-1-11111-1-1-1-11111-1
χ1311111111111111-11-1-1-11111111-1-1-1-11-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111-1-1-11-111-111-1-111-1-111-1-1-1-111-1-11
χ1411111111111111-11-1-1-11111111-1-1-1-11-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1111-1-1-11-111111-1-1-1-111-1-11111-1-111-1
χ1511111111111111-11-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-11-1-11111111-1-1-1-111-1-11111-1
χ1611111111111111-11-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1111-11-1-1-11111-1-11111-1-111-1-1-1-11
χ17222222-2-222222222-222222-2-2-2-222-2-20020022-2-200-2-2-2-2-2200000022-2-200000000000-2200000000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2220020022-2-200-2-2-2-22-2000000-2-222000000000002-200000000000000000
χ19222222-2-2222222-222-2-2222-2-2-2-222-2-200-200-2-22200-2-2222-200000022-2-2000000000002-200000000000000000
χ20222222-2-2222222-222-2-2222-2-2-2-2-2-22200-200-2-22200-2-222-22000000-2-22200000000000-2200000000000000000
χ2122222-12222-1-12-12-1222-1-1-1-1-122222222-1-1-1-1-12-1-1-1-1-1-1-122000000-1-1-1-12-1-12-1-122-1-10-1-1-1-1000000000000000
χ2222222-12222-1-12-12-1222-1-1-1-1-1222222-2-2-111-1-12-111-1-1-1-122000000-1-1-1-1-211-211-2-2110-1-111000000000000000
χ2322222-12222-1-12-12-1222-1-1-1-1-122-2-2-2-222-1-1-1-1-12-1-1-1-1-1-1-1-2-200000011112-1-12-1-1-2-21101111000000000000000
χ2422222-12222-1-12-12-1222-1-1-1-1-122-2-2-2-2-2-2-111-1-12-111-1-1-1-1-2-20000001111-211-21122-1-1011-1-1000000000000000
χ2522222-12222-1-12-1-2-1-2-2-2-1-1-1-1-12222222-21-1-111-2111-1-111-2-2000000-1-1-1-12-1-1-211-2211011-1-1000000000000000
χ2622222-12222-1-12-1-2-1-2-2-2-1-1-1-1-1222222-2211111-21-1-1-1-111-2-2000000-1-1-1-1-2112-1-12-2-1-101111000000000000000
χ2722222-12222-1-12-1-2-1-2-2-2-1-1-1-1-122-2-2-2-22-21-1-111-2111-1-1112200000011112-1-1-2112-2-1-10-1-111000000000000000
χ2822222-12222-1-12-1-2-1-2-2-2-1-1-1-1-122-2-2-2-2-2211111-21-1-1-1-111220000001111-2112-1-1-22110-1-1-1-1000000000000000
χ2922222-1-2-222-1-12-12-1-222-1-1-111-2-222-2-200-1−i3i3-1-1-21−i3i31111-22000000-1-1110−i3i30−i3i300−i3i301-1−i3i3000000000000000
χ3022222-1-2-222-1-12-12-1-222-1-1-111-2-222-2-200-1i3−i3-1-1-21i3−i31111-22000000-1-1110i3−i30i3−i300i3−i301-1i3−i3000000000000000
χ3122222-1-2-222-1-12-12-1-222-1-1-111-2-2-2-22200-1−i3i3-1-1-21−i3i311112-200000011-1-10−i3i30−i3i300i3−i30-11i3−i3000000000000000
χ3222222-1-2-222-1-12-12-1-222-1-1-111-2-2-2-22200-1i3−i3-1-1-21i3−i311112-200000011-1-10i3−i30i3−i300−i3i30-11−i3i3000000000000000
χ3322222-1-2-222-1-12-1-2-12-2-2-1-1-111-2-222-2-2001−i3i3112-1i3−i311-1-12-2000000-1-1110−i3i30i3−i300i3−i30-11−i3i3000000000000000
χ3422222-1-2-222-1-12-1-2-12-2-2-1-1-111-2-222-2-2001i3−i3112-1−i3i311-1-12-2000000-1-1110i3−i30−i3i300−i3i30-11i3−i3000000000000000
χ3522222-1-2-222-1-12-1-2-12-2-2-1-1-111-2-2-2-222001−i3i3112-1i3−i311-1-1-2200000011-1-10−i3i30i3−i300−i3i301-1i3−i3000000000000000
χ3622222-1-2-222-1-12-1-2-12-2-2-1-1-111-2-2-2-222001i3−i3112-1−i3i311-1-1-2200000011-1-10i3−i30−i3i300i3−i301-1−i3i3000000000000000
χ372222-1222-1-122-122-12-1-1-1-1-122-1-1000022222-1-1-1222-1-1-1-1002222220000-1-1-1-1-1-1000020000-1-1-1-1-1-1-1-10000000
χ382222-1222-1-122-122-12-1-1-1-1-122-1-1000022222-1-1-1222-1-1-1-100-2-2-2-2-2-20000-1-1-1-1-1-10000-20000111111110000000
χ392222-1222-1-122-122-12-1-1-1-1-122-1-10000-2-22-2-2-1-1-12-2-2-1-1-1-1002222-2-200001111110000-20000-1-1-1-111110000000
χ402222-1222-1-122-122-12-1-1-1-1-122-1-10000-2-22-2-2-1-1-12-2-2-1-1-1-100-2-2-2-22200001111110000200001111-1-1-1-10000000
χ412222-1222-1-122-12-2-1-211-1-1-122-1-100002-2-222111-2-2-2-1-1110022-2-2220000-1-1-11110000-20000-1-111-1-1110000000
χ422222-1222-1-122-12-2-1-211-1-1-122-1-100002-2-222111-2-2-2-1-11100-2-222-2-20000-1-1-111100002000011-1-111-1-10000000
χ432222-1222-1-122-12-2-1-211-1-1-122-1-10000-22-2-2-2111-222-1-1110022-2-2-2-20000111-1-1-1000020000-1-11111-1-10000000
χ442222-1222-1-122-12-2-1-211-1-1-122-1-10000-22-2-2-2111-222-1-11100-2-222220000111-1-1-10000-2000011-1-1-1-1110000000
χ452-22-2222-22-22-2-2-202000-22-22-22-22i−2i2i−2i000000000002-20000002i−2i002i−2i2i−2i000000000000000002i−2i0000002-2000
χ462-22-2222-22-22-2-2-202000-22-22-22-22i−2i2i−2i000000000002-2000000−2i2i002i−2i2i−2i00000000000000000−2i2i000000-22000
χ472-22-2222-22-22-2-2-202000-22-22-22-2−2i2i−2i2i000000000002-20000002i−2i00−2i2i−2i2i000000000000000002i−2i000000-22000
χ482-22-2222-22-22-2-2-202000-22-22-22-2−2i2i−2i2i000000000002-2000000−2i2i00−2i2i−2i2i00000000000000000−2i2i0000002-2000
χ492-22-222-222-22-2-2-202000-22-2-22-222i−2i−2i2i00000000000-2200002i−2i00002i−2i−2i2i0000000000000002i−2i0000002-200000
χ502-22-222-222-22-2-2-202000-22-2-22-222i−2i−2i2i00000000000-220000−2i2i00002i−2i−2i2i000000000000000−2i2i000000-2200000
χ512-22-222-222-22-2-2-202000-22-2-22-22−2i2i2i−2i00000000000-2200002i−2i0000−2i2i2i−2i0000000000000002i−2i000000-2200000
χ522-22-222-222-22-2-2-202000-22-2-22-22−2i2i2i−2i00000000000-220000−2i2i0000−2i2i2i−2i000000000000000−2i2i0000002-200000
χ534444-24-4-4-2-244-244-2-4-2-2-2-2-2-4-422000000400-2-22-4002222000000000000000000000000000000000000000000
χ544444-24-4-4-2-244-24-4-2422-2-2-2-4-422000000-40022-240022-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2000044-2-2-211-2-2-2-21111000000000000-211-211000000000000000000000000
χ564444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-20000-4-4-22211-2-22211110000000000002-1-12-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-41-422111-2-2-2-200004-42-2-2-1-1222211-1-1000000000000-2112-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-422111-2-2-2-20000-44222-1-122-2-211-1-10000000000002-1-1-211000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-241-4-2-21112222000000-2−2i32i31122−2i32i3-1-1-1-10000000000000i3−i30i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-241-4-2-21112222000000-22i3−2i311222i3−2i3-1-1-1-10000000000000−i3i30−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-2-4142211122220000002−2i32i3-1-1-2-22i3−2i3-1-1110000000000000i3−i30−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-2-41422111222200000022i3−2i3-1-1-2-2−2i32i3-1-1110000000000000−i3i30i3−i3000000000000000000000000
χ6344-4-44400-44-44-4-404000-4-4400000000000000000000000000000−2i22i200000000000000000000000−2i22i2000000000
χ6444-4-44400-44-44-4-404000-4-44000000000000000000000000000002i2−2i2000000000000000000000002i2−2i2000000000
χ6544-4-4-24002-2-442-40-20−2i32i322-20000000000000−2i32i300000000000000−2i22i200000000000000000000000i2−i26−60000000
χ6644-4-4-24002-2-442-40-20−2i32i322-20000000000000−2i32i3000000000000002i2−2i200000000000000000000000−i2i2−660000000
χ6744-4-4-24002-2-442-40-202i3−2i322-200000000000002i3−2i300000000000000−2i22i200000000000000000000000i2−i2−660000000
χ6844-4-4-24002-2-442-40-202i3−2i322-200000000000002i3−2i3000000000000002i2−2i200000000000000000000000−i2i26−60000000
χ694-44-44-24-44-4-22-420-20002-22-224-44i−4i4i−4i00000000000-220000000000−2i2i−2i2i000000000000000000000000000000
χ704-44-44-24-44-4-22-420-20002-22-224-4−4i4i−4i4i00000000000-2200000000002i−2i2i−2i000000000000000000000000000000
χ714-44-44-2-444-4-22-420-20002-222-2-444i−4i−4i4i000000000002-20000000000−2i2i2i−2i000000000000000000000000000000
χ724-44-44-2-444-4-22-420-20002-222-2-44−4i4i4i−4i000000000002-200000000002i−2i−2i2i000000000000000000000000000000
χ734-44-4-244-4-224-42-40-20002-224-4-22000000000000000-220000004i−4i00000000000000000000000−2i2i00000000000
χ744-44-4-244-4-224-42-40-20002-224-4-22000000000000000-22000000−4i4i000000000000000000000002i−2i00000000000
χ754-44-4-24-44-224-42-40-20002-22-442-20000000000000002-200004i−4i00000000000000000000000−2i2i0000000000000
χ764-44-4-24-44-224-42-40-20002-22-442-20000000000000002-20000−4i4i000000000000000000000002i−2i0000000000000
χ774-4-444400-4-4-4-444040004-4-40000000000000000000000000000000000000000000000000000000000000022−220
χ784-4-444400-4-4-4-444040004-4-400000000000000000000000000000000000000000000000000000000000000−22220
χ7988-8-88-400-884-4-840-400044-400000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-4004-44-444020−4i34i3-2-2200000000000002i3−2i300000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-44-4440204i3−4i3-2-220000000000000−2i32i300000000000000000000000000000000000000000000000000
χ828-88-8-4-48-8-44-444402000-22-2-44-440000000000000002-200000000000000000000000000000000000000000000
χ838-88-8-4-4-88-44-444402000-22-24-44-4000000000000000-2200000000000000000000000000000000000000000000
χ848-8-888-400-8-8448-40-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-480044-8-8-480-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004444-4-4020002-2-20000000000000000000006i−6i000000000000000000000000000000000000000000
χ878-8-88-4-4004444-4-4020002-2-2000000000000000000000−6i6i000000000000000000000000000000000000000000

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