Finite Group Databasebeta

← Group #11872124

Character table — Group #11872124

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order1222334466666623466612121212121244442466666612121212121212444444881212121266612121244812121212121212121212242424242222888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-11-1-1-1-1111111111111-11-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1111-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-111-1-1111-1-111111-1-11-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-111-11111-1-1-1-1111111-1-11-111-1-111-1-1-11111-1-1-1-1-1-1-1
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
χ711111111111111111111111111-1-1-1-1-1-111-1-1111-1-11111-111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-111-1-1111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-11111111111-1-1-1
χ911111111111111-11-1111-1-1111111111-1-1-111-1-1-1-1-111-1-1-111-1-1-1-1-11111111-1-1-1-111-111-1-1-1-1-11111-1-111-1-1-1-11
χ1011111111111111-11-1111-1-1111111111-1-1-111-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-11-1-1-1-1-1-111-111-1-111-1-11111-1
χ1111111111111111-11-1111-1-111111111-11-1-1-1-1-1-1-11111-1-1-111-1-1-1111111-1-1-11111-1-1-11111-1-1-1-1-1-1-11111-1-111-1
χ1211111111111111-11-1111-1-111111111-11-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-11111-11-1-1-11111-1-1-111-1-1-1-111-1-11
χ1311111111111111-11-1111-1-11111-1-1-1-11-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-1-1-11-1111111-1-11-1-111-1-1-1-11111-1
χ1411111111111111-11-1111-1-11111-1-1-1-11-1-1-111-1-1-1-1-111-1-11-1-111111-1-1-1-1111-1-1-11-1-11-1-111111-1-1-1-11111-1-1-1-11
χ1511111111111111-11-1111-1-11111-1-1-1-1-11-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1111-11-1111-1-1-1-1111-1-111-1-111-1-11
χ1611111111111111-11-1111-1-11111-1-1-1-1-11-1-1-1-1-1-1-11111-1-11-1-1111-1-1-1-1-1-1-1-1-1111-1111-1-1-1-11111111-1-111-1-111-1
χ17222222-2-222222222-2222-2-2-2-2-2-222-2-200220022-200-2-2-2-2-2002000022-2-2000000000-200000020000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-22200220022-200-2-2-2-2200-20000-2-2220000000002000000-20000000000000
χ19222222-2-2222222-22222222-2-2-2-222-2-200-2-200-2-2200-2-222200-2000022-2-20000000002000000-20000000000000
χ20222222-2-2222222-22222222-2-2-2-2-2-22200-2-200-2-2200-2-222-20020000-2-222000000000-200000020000000000000
χ2122222-12222-12-1-12-12-1-1-122-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-120020000-1-1-1-12-1-12-1-1220-100-1-100-1-1-100000000000
χ2222222-12222-12-1-12-12-1-1-122-1-1222222-2-22-111-1-1-111-1-1-1-120020000-1-1-1-1-211-211-2-20-1001100-11100000000000
χ2322222-12222-12-1-12-12-1-1-122-1-122-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-200-2000011112-1-12-1-1-2-20100110011100000000000
χ2422222-12222-12-1-12-12-1-1-122-1-122-2-2-2-2-2-22-111-1-1-111-1-1-1-1-200-200001111-211-211220100-1-1001-1-100000000000
χ2522222-12222-12-1-1-2-1-2-1-1-1-2-2-1-12222222-2-21-1-111111-1-111-200-20000-1-1-1-12-1-1-211-22010011001-1-100000000000
χ2622222-12222-12-1-1-2-1-2-1-1-1-2-2-1-1222222-22-2111111-1-1-1-111-200-20000-1-1-1-1-2112-1-12-20100-1-10011100000000000
χ2722222-12222-12-1-1-2-1-2-1-1-1-2-2-1-122-2-2-2-22-2-21-1-111111-1-1112002000011112-1-1-2112-20-100-1-100-11100000000000
χ2822222-12222-12-1-1-2-1-2-1-1-1-2-2-1-122-2-2-2-2-22-2111111-1-1-1-111200200001111-2112-1-1-220-1001100-1-1-100000000000
χ2922222-1-2-222-12-1-12-1-2-1-1-1-2-211-2-222-2-2002-1−i3i3-1-11−i3i31111-20020000-1-1110−i3i30−i3i3000100−i3i300-1−i3i300000000000
χ3022222-1-2-222-12-1-12-1-2-1-1-1-2-211-2-222-2-2002-1i3−i3-1-11i3−i31111-20020000-1-1110i3−i30i3−i3000100i3−i300-1i3−i300000000000
χ3122222-1-2-222-12-1-12-1-2-1-1-1-2-211-2-2-2-222002-1−i3i3-1-11−i3i31111200-2000011-1-10−i3i30−i3i3000-100i3−i3001i3−i300000000000
χ3222222-1-2-222-12-1-12-1-2-1-1-1-2-211-2-2-2-222002-1i3−i3-1-11i3−i31111200-2000011-1-10i3−i30i3−i3000-100−i3i3001−i3i300000000000
χ3322222-1-2-222-12-1-1-2-12-1-1-12211-2-222-2-200-21−i3i311-1i3−i311-1-1200-20000-1-1110−i3i30i3−i3000-100i3−i3001−i3i300000000000
χ3422222-1-2-222-12-1-1-2-12-1-1-12211-2-222-2-200-21i3−i311-1−i3i311-1-1200-20000-1-1110i3−i30−i3i3000-100−i3i3001i3−i300000000000
χ3522222-1-2-222-12-1-1-2-12-1-1-12211-2-2-2-22200-21−i3i311-1i3−i311-1-1-2002000011-1-10−i3i30i3−i3000100−i3i300-1i3−i300000000000
χ3622222-1-2-222-12-1-1-2-12-1-1-12211-2-2-2-22200-21i3−i311-1−i3i311-1-1-2002000011-1-10i3−i30−i3i3000100i3−i300-1−i3i300000000000
χ372222-1222-1-12-1222-12-1-1-1-1-122-1-1000022-1222-1-1222-1-1-1-1022022220000-1-1-1-1-1-10020-1-100-1-1000-1-1-1-10000000
χ382222-1222-1-12-1222-12-1-1-1-1-122-1-1000022-1222-1-1222-1-1-1-10-2-20-2-2-2-20000-1-1-1-1-1-100-2011001100011110000000
χ392222-1222-1-12-1222-12-1-1-1-1-122-1-10000-2-2-12-2-2-1-12-2-2-1-1-1-1022022-2-2000011111100-20-1-100-1-100011110000000
χ402222-1222-1-12-1222-12-1-1-1-1-122-1-10000-2-2-12-2-2-1-12-2-2-1-1-1-10-2-20-2-22200001111110020110011000-1-1-1-10000000
χ412222-1222-1-12-122-2-1-2-1-1-11122-1-100002-21-22211-2-2-2-1-1110220-2-2-2-20000-1-1-11110020-1-10011000-1-1110000000
χ422222-1222-1-12-122-2-1-2-1-1-11122-1-100002-21-22211-2-2-2-1-1110-2-2022220000-1-1-111100-201100-1-100011-1-10000000
χ432222-1222-1-12-122-2-1-2-1-1-11122-1-10000-221-2-2-211-222-1-1110220-2-2220000111-1-1-100-20-1-1001100011-1-10000000
χ442222-1222-1-12-122-2-1-2-1-1-11122-1-10000-221-2-2-211-222-1-1110-2-2022-2-20000111-1-1-100201100-1-1000-1-1110000000
χ4522-2-2222-22-2-2-22-2020-22-2002-22-22i−2i2i−2i000000000002-20000002i−2i002i−2i2i−2i000000000000002i−2i0000000002-2000
χ4622-2-2222-22-2-2-22-2020-22-2002-22-22i−2i2i−2i000000000002-2000000−2i2i002i−2i2i−2i00000000000000−2i2i000000000-22000
χ4722-2-2222-22-2-2-22-2020-22-2002-22-2−2i2i−2i2i000000000002-20000002i−2i00−2i2i−2i2i000000000000002i−2i000000000-22000
χ4822-2-2222-22-2-2-22-2020-22-2002-22-2−2i2i−2i2i000000000002-2000000−2i2i00−2i2i−2i2i00000000000000−2i2i0000000002-2000
χ4922-2-222-222-2-2-22-2020-22-200-22-222i−2i−2i2i00000000000-220002i−2i000002i−2i−2i2i00000000002i−2i000000000002-200000
χ5022-2-222-222-2-2-22-2020-22-200-22-222i−2i−2i2i00000000000-22000−2i2i000002i−2i−2i2i0000000000−2i2i00000000000-2200000
χ5122-2-222-222-2-2-22-2020-22-200-22-22−2i2i2i−2i00000000000-220002i−2i00000−2i2i2i−2i00000000002i−2i00000000000-2200000
χ5222-2-222-222-2-2-22-2020-22-200-22-22−2i2i2i−2i00000000000-22000−2i2i00000−2i2i2i−2i0000000000−2i2i000000000002-200000
χ534444-24-4-4-2-24-2444-2-4-2-2-222-4-422000000-2400-2-2-4002222000000000000000000000000000000000000000000
χ544444-24-4-4-2-24-244-4-24-2-2-2-2-2-4-4220000002-4002240022-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-2000044-2-2-2-211-2-2-21111000000000000-211-211000000000000000000000000
χ564444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-20000-4-4-2-22211-22211110000000000002-1-12-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-41-411122-2-2-2-200004-422-2-2-1-122211-1-1000000000000-2112-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-411122-2-2-2-20000-442222-1-12-2-211-1-10000000000002-1-1-211000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-241-4111222222000000-2-2−2i32i3112−2i32i3-1-1-1-10000000000000i3−i30i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-241-4111222222000000-2-22i3−2i31122i3−2i3-1-1-1-10000000000000−i3i30−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-2-414111-2-2222200000022−2i32i3-1-1-22i3−2i3-1-1110000000000000i3−i30−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-2-414111-2-22222000000222i3−2i3-1-1-2−2i32i3-1-1110000000000000−i3i30i3−i3000000000000000000000000
χ6344-4-44-24-44-42-4-220-202-2200-224-44i−4i4i−4i00000000000-220000000000−2i2i−2i2i000000000000000000000000000000
χ6444-4-44-24-44-42-4-220-202-2200-224-4−4i4i−4i4i00000000000-2200000000002i−2i2i−2i000000000000000000000000000000
χ6544-4-44-2-444-42-4-220-202-22002-2-444i−4i−4i4i000000000002-20000000000−2i2i2i−2i000000000000000000000000000000
χ6644-4-44-2-444-42-4-220-202-22002-2-44−4i4i4i−4i000000000002-200000000002i−2i−2i2i000000000000000000000000000000
χ6744-4-4-244-4-22-424-40-202-22004-4-22000000000000000-220000004i−4i00000000000000000000−2i2i00000000000000
χ6844-4-4-244-4-22-424-40-202-22004-4-22000000000000000-22000000−4i4i000000000000000000002i−2i00000000000000
χ6944-4-4-24-44-22-424-40-202-2200-442-20000000000000002-20004i−4i0000000000000000000−2i2i000000000000000000
χ7044-4-4-24-44-22-424-40-202-2200-442-20000000000000002-2000−4i4i00000000000000000002i−2i000000000000000000
χ714-44-44400-444-4-4-40404-4-40000000000000000000000000000000−2i22i20000000000000000000000000−2i22i20000000
χ724-44-44400-444-4-4-40404-4-400000000000000000000000000000002i2−2i200000000000000000000000002i2−2i20000000
χ734-44-4-24002-242-4-40-20-22223−2300000000000000000000023−23000000−2i22i200000000000000000000000i6−i6i2−i20000000
χ744-44-4-24002-242-4-40-20-22223−2300000000000000000000023−230000002i2−2i200000000000000000000000−i6i6−i2i20000000
χ754-44-4-24002-242-4-40-20-222−2323000000000000000000000−2323000000−2i22i200000000000000000000000−i6i6i2−i20000000
χ764-44-4-24002-242-4-40-20-222−2323000000000000000000000−23230000002i2−2i200000000000000000000000i6−i6−i2i20000000
χ774-4-444400-4-4-44-44040-4-44000000000000000000000000000000000000000000000000000000000000000022−220
χ784-4-444400-4-4-44-44040-4-440000000000000000000000000000000000000000000000000000000000000000−22220
χ7988-8-8-4-48-8-4444-44020-22-200-44-440000000000000002-200000000000000000000000000000000000000000000
χ8088-8-8-4-4-88-4444-44020-22-2004-44-4000000000000000-2200000000000000000000000000000000000000000000
χ818-88-88-400-88-4-8440-40-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-4-44440202-2-243−43000000000000000000000−2323000000000000000000000000000000000000000000
χ838-88-8-4-4004-4-44440202-2-2−434300000000000000000000023−23000000000000000000000000000000000000000000
χ848-8-888-400-8-8484-40-4044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-480044-8-4-880-4044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-4020-2-2200000000000000006-60000000000000000000000000000000000000000000000000
χ878-8-88-4-400444-44-4020-2-220000000000000000-660000000000000000000000000000000000000000000000000

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