Finite Group Databasebeta

← Group #11872341

Character table — Group #11872341

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order12223344666666344666121212121212444422666612121212121212121224444488121212126666664468121212121212121212242424242244888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-1-1111111-1-1-1-1111111-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1
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
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1111111111111-1-1-1
χ9111111111111111-1-1111-1-1111111111-111-1-1-1-1-111-1-1-1-1-1-111-1-11111111-111-1-11-1-1-1-111-1-111-1-111-1-1-1-11111-1
χ10111111111111111-1-1111-1-1111111111-111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-111-1-11-1-11-1-1-11111-1-1-1-11111-1-1-1-11
χ11111111111111111-1-1111-1-111111111-11-1-111-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-1-111-11-11-111-1-1-1-111-1-111-1-111-1-11
χ12111111111111111-1-1111-1-111111111-11-1-111-1-1-111-1-1-1-1-1-1-1-111111111-11-1-111-11-1-1-1-1-111-1-11111-1-111-1-111-1
χ13111111111111111-1-1111-1-11111-1-1-1-11-111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11-111-1-1-111-1111-1-1-1-11111-1-111-1-1-1-11
χ14111111111111111-1-1111-1-11111-1-1-1-11-111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11-111-1-1-11111-1-111-1-111-1-111-1-11111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-11-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111-111111-1-111-1-1-1-11111-1-111-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-11-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-1-1111-11-11-1-11111-1-111-1-1-1-111-1-11
χ17222222-2-222222222-222222-2-2-2-222-2-2000000-22-2-2-222-2-2-2200000022-2-200000000-2020000000000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-222000000-22-2-2-222-2-22-2000000-2-2220000000020-20000000000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-222-2-20000002-22-2-2-2-2222-200000022-2-20000000020-20000000000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-2220000002-22-2-2-2-222-22000000-2-22200000000-2020000000000000000000
χ2122222-1222-122-1-1-122-1-1-122-1-122222222-1-1-1-12-1-1-1-1-1-1-1-122000000-1-1-1-122-1-1-1-122-10-10000-1-1-1-100000000000
χ2222222-1222-122-1-1-122-1-1-122-1-1222222-2-211112-1-1-1-1-1-1-1-122000000-1-1-1-1-2-21111-2-2-10-10000111100000000000
χ2322222-1222-122-1-1-122-1-1-122-1-122-2-2-2-222-1-1-1-12-1-1-1-1-1-1-1-1-2-2000000111122-1-1-1-1-2-21010000111100000000000
χ2422222-1222-122-1-1-122-1-1-122-1-122-2-2-2-2-2-211112-1-1-1-1-1-1-1-1-2-20000001111-2-21111221010000-1-1-1-100000000000
χ2522222-1222-122-1-1-1-2-2-1-1-1-2-2-1-12222222-2-1-111-211-1-11111-2-2000000-1-1-1-12-2-1-1112-21010000-1-11100000000000
χ2622222-1222-122-1-1-1-2-2-1-1-1-2-2-1-1222222-2211-1-1-211-1-11111-2-2000000-1-1-1-1-2211-1-1-22101000011-1-100000000000
χ2722222-1222-122-1-1-1-2-2-1-1-1-2-2-1-122-2-2-2-22-2-1-111-211-1-111112200000011112-2-1-111-22-10-1000011-1-100000000000
χ2822222-1222-122-1-1-1-2-2-1-1-1-2-2-1-122-2-2-2-2-2211-1-1-211-1-11111220000001111-2211-1-12-2-10-10000-1-11100000000000
χ2922222-1-2-22-122-1-1-12-2-1-1-12211-2-222-2-200−i3i3−i3i3-2-1111-1-111-22000000-1-11100−i3i3−i3i30010-10000−i3i3−i3i300000000000
χ3022222-1-2-22-122-1-1-12-2-1-1-12211-2-222-2-200i3−i3i3−i3-2-1111-1-111-22000000-1-11100i3−i3i3−i30010-10000i3−i3i3−i300000000000
χ3122222-1-2-22-122-1-1-12-2-1-1-12211-2-2-2-22200−i3i3−i3i3-2-1111-1-1112-200000011-1-100−i3i3−i3i300-1010000i3−i3i3−i300000000000
χ3222222-1-2-22-122-1-1-12-2-1-1-12211-2-2-2-22200i3−i3i3−i3-2-1111-1-1112-200000011-1-100i3−i3i3−i300-1010000−i3i3−i3i300000000000
χ3322222-1-2-22-122-1-1-1-22-1-1-1-2-211-2-222-2-200−i3i3i3−i321-11111-1-12-2000000-1-11100−i3i3i3−i300-1010000−i3i3i3−i300000000000
χ3422222-1-2-22-122-1-1-1-22-1-1-1-2-211-2-222-2-200i3−i3−i3i321-11111-1-12-2000000-1-11100i3−i3−i3i300-1010000i3−i3−i3i300000000000
χ3522222-1-2-22-122-1-1-1-22-1-1-1-2-211-2-2-2-22200−i3i3i3−i321-11111-1-1-2200000011-1-100−i3i3i3−i30010-10000i3−i3−i3i300000000000
χ3622222-1-2-22-122-1-1-1-22-1-1-1-2-211-2-2-2-22200i3−i3−i3i321-11111-1-1-2200000011-1-100i3−i3−i3i30010-10000−i3i3i3−i300000000000
χ372222-1222-12-1-122-122-1-1-1-1-122-1-10000222222-122-1-1-1-1-1-1002222220000-1-1-1-1-1-100020-1-1-1-10000-1-1-1-10000000
χ382222-1222-12-1-122-122-1-1-1-1-122-1-10000222222-122-1-1-1-1-1-100-2-2-2-2-2-20000-1-1-1-1-1-1000-201111000011110000000
χ392222-1222-12-1-122-122-1-1-1-1-122-1-10000-2-2-2-2-2-2-122-1-1-1-1-1-1002222-2-20000111111000-20-1-1-1-1000011110000000
χ402222-1222-12-1-122-122-1-1-1-1-122-1-10000-2-2-2-2-2-2-122-1-1-1-1-1-100-2-2-2-22200001111110002011110000-1-1-1-10000000
χ412222-1222-12-1-122-1-2-2-1-1-11122-1-100002-222-2-21-2-2-1-111110022-2-2220000-11-1-111000-20-1-1110000-1-1110000000
χ422222-1222-12-1-122-1-2-2-1-1-11122-1-100002-222-2-21-2-2-1-1111100-2-222-2-20000-11-1-1110002011-1-1000011-1-10000000
χ432222-1222-12-1-122-1-2-2-1-1-11122-1-10000-22-2-2221-2-2-1-111110022-2-2-2-200001-111-1-100020-1-111000011-1-10000000
χ442222-1222-12-1-122-1-2-2-1-1-11122-1-10000-22-2-2221-2-2-1-1111100-2-2222200001-111-1-1000-2011-1-10000-1-1110000000
χ4522-2-2222-2-222-2-2-22002-2-2002-2-222i−2i2i−2i0000000002-20000002-200002i−2i2i−2i000000000002-20000000000002i−2i000
χ4622-2-2222-2-222-2-2-22002-2-2002-2-222i−2i2i−2i0000000002-2000000-2200002i−2i2i−2i00000000000-22000000000000−2i2i000
χ4722-2-2222-2-222-2-2-22002-2-2002-2-22−2i2i−2i2i0000000002-20000002-20000−2i2i−2i2i000000000002-2000000000000−2i2i000
χ4822-2-2222-2-222-2-2-22002-2-2002-2-22−2i2i−2i2i0000000002-2000000-220000−2i2i−2i2i00000000000-220000000000002i−2i000
χ4922-2-222-22-222-2-2-22002-2-200-222-22i−2i−2i2i000000000-22000000002i−2i002i−2i−2i2i00000000000002i−2i000000002-200000
χ5022-2-222-22-222-2-2-22002-2-200-222-22i−2i−2i2i000000000-2200000000−2i2i002i−2i−2i2i0000000000000−2i2i00000000-2200000
χ5122-2-222-22-222-2-2-22002-2-200-222-2−2i2i2i−2i000000000-22000000002i−2i00−2i2i2i−2i00000000000002i−2i00000000-2200000
χ5222-2-222-22-222-2-2-22002-2-200-222-2−2i2i2i−2i000000000-2200000000−2i2i00−2i2i2i−2i0000000000000−2i2i000000002-200000
χ534444-24-4-4-24-2-244-24-4-2-2-2-2-2-4-422000000000024-422-2-222000000000000000000000000000000000000000000
χ544444-24-4-4-24-2-244-2-44-2-2-222-4-4220000000000-2-442222-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2000044-2-2-2-2-2-2-2111111000000000000-2-21111000000000000000000000000
χ564444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20000-4-42222-2-2-211111100000000000022-1-1-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-21-4-411122-2-2-2-200004-4-2-22222211-1-1-1-1000000000000-2211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-21-4-411122-2-2-2-20000-4422-2-222211-1-1-1-10000000000002-2-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-214-4111-2-22222000000−2i32i3−2i32i32-22-1-111-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-214-4111-2-222220000002i3−2i32i3−2i32-22-1-111-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-21-44111222222000000−2i32i32i3−2i3-22-2-1-1-1-11100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-21-441112222220000002i3−2i3−2i32i3-22-2-1-1-1-11100000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-44-24-4-4-24-422-200-22200-22-444i−4i4i−4i000000000-22000000000000−2i2i−2i2i000000000000000000000000000000
χ6444-4-44-24-4-4-24-422-200-22200-22-44−4i4i−4i4i000000000-220000000000002i−2i2i−2i000000000000000000000000000000
χ6544-4-44-2-44-4-24-422-200-222002-24-44i−4i−4i4i0000000002-2000000000000−2i2i2i−2i000000000000000000000000000000
χ6644-4-44-2-44-4-24-422-200-222002-24-4−4i4i4i−4i0000000002-20000000000002i−2i−2i2i000000000000000000000000000000
χ6744-4-4-244-424-22-4-4-200-222004-42-20000000000000-220000004-40000000000000000000-2200000000000000000
χ6844-4-4-244-424-22-4-4-200-222004-42-20000000000000-22000000-4400000000000000000002-200000000000000000
χ6944-4-4-24-4424-22-4-4-200-22200-44-2200000000000002-2000000004i−4i0000000000000000000−2i2i000000000000000
χ7044-4-4-24-4424-22-4-4-200-22200-44-2200000000000002-200000000−4i4i00000000000000000002i−2i000000000000000
χ714-44-444004-4-4-44-4400-44-40000000000000000000000000000000−2i22i200000000000000000000000−2i22i2000000000
χ724-44-444004-4-4-44-4400-44-400000000000000000000000000000002i2−2i2000000000000000000000002i2−2i2000000000
χ734-44-4-2400-2-4224-4-2002-22−2i32i30000000000000000000−2i32i300000000−2i22i200000000000000000000000i2−i26−60000000
χ744-44-4-2400-2-4224-4-2002-22−2i32i30000000000000000000−2i32i3000000002i2−2i200000000000000000000000−i2i2−660000000
χ754-44-4-2400-2-4224-4-2002-222i3−2i300000000000000000002i3−2i300000000−2i22i200000000000000000000000i2−i2−660000000
χ764-44-4-2400-2-4224-4-2002-222i3−2i300000000000000000002i3−2i3000000002i2−2i200000000000000000000000−i2i26−60000000
χ774-4-444400-4-4-44-44400-4-44000000000000000000000000000000000000000000000000000000000000000022−220
χ784-4-444400-4-4-44-44400-4-440000000000000000000000000000000000000000000000000000000000000000−22220
χ7988-8-8-4-48-84-4-44442002-2-200-444-400000000000002-20000000000000000000000000000000000000000000000
χ8088-8-8-4-4-884-4-44442002-2-2004-4-440000000000000-220000000000000000000000000000000000000000000000
χ818-88-88-40084-8-8-44-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-4444-44200-22-2−4i34i300000000000000000002i3−2i300000000000000000000000000000000000000000000
χ838-88-8-4-400-4444-44200-22-24i3−4i30000000000000000000−2i32i300000000000000000000000000000000000000000000
χ848-8-888-400-84-884-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-84-4-88-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-4200-2-22000000000000000000000006-6000000000000000000000000000000000000000000
χ878-8-88-4-400444-44-4200-2-2200000000000000000000000-66000000000000000000000000000000000000000000

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