Finite Group Databasebeta

← Group #11872844

Character table — Group #11872844

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order1222334466666634466612121212121244444412121212121212121212121212222444881212121212121212121244666812121212121212242424242244888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-11-1-1-1-11111111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1111-1111-1-1-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-11-1-1-1-1111111111-1-11-1-1111111-1-1-1-1-1-1-1-11-1-11-1-11-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-111-11111-1-1-1-1111111-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1
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
χ711111111111111111111111111-1-1-1-1-1-11-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-111-111-111-11111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1111111111111-1-1-1
χ9111111111111111-1-11111-1-111111111-1-111-1-1-1-1-1-1-1-111-111-1-1-11111111-111-1-11-1-111-1-1-1-111-1-111-1-1-1-11111-1
χ10111111111111111-1-11111-1-111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111-111-1-11-1-1-1-1111-111-1-1-1-11111-1-1-1-11
χ11111111111111111-1-11111-1-11111111-11-1-1-111-1-1-1-1-1-111-111-1-1-1-1-11111-11-1-111-11-1111-1-1-1-1-111-1-111-1-111-1-11
χ12111111111111111-1-11111-1-11111111-11-1-1-111-1-1-1-1-1-111-1-1-1-111111111-11-1-111-11-1-1-1-111-1-1-11111-1-111-1-111-1
χ13111111111111111-1-11111-1-1111-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-111-1-1-11111-1-1-11-1-11111-1-111-1-1-1-11
χ14111111111111111-1-11111-1-1111-1-1-1-11-1-111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-11-111-1-1-111-1-11111-1-111-1-111-1-11111-1
χ15111111111111111-1-11111-1-1111-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1111-11111-1-1111-1-1-1-11111-1-111-1
χ16111111111111111-1-11111-1-1111-1-1-1-1-11-1-1-111-1-1-1-1-1-1111-1-111111-1-1-1-1-11-1-1111-11-1-1-111111-1-111-1-1-1-111-1-11
χ17222222-2-222222222-2222-222-2-2-222-2-200-200002-222-2-2-2-2-2002000022-2-200000000-2000002000000000000000
χ18222222-2-222222222-2222-222-2-2-2-2-22200-200002-222-2-2-2-2200-20000-2-22200000000200000-2000000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-222-2-20020000-22-2-222-2-2200-2000022-2-200000000200000-2000000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-2220020000-22-2-222-2-2-20020000-2-22200000000-2000002000000000000000
χ2122222-122-1-1-1222-122-1-1-1-1-1-122-1000022-1222222-1-1-1-1-1-1022022220000-1-1-1-1-1-1000-1-12-1-100000-1-1-1-10000000
χ2222222-122-1-1-1222-122-1-1-1-1-1-122-1000022-1222222-1-1-1-1-1-10-2-20-2-2-2-20000-1-1-1-1-1-100011-2110000011110000000
χ2322222-122-1-1-1222-122-1-1-1-1-1-122-10000-2-2-1-2-2-2-222-1-1-1-1-1-1022022-2-20000111111000-1-1-2-1-10000011110000000
χ2422222-122-1-1-1222-122-1-1-1-1-1-122-10000-2-2-1-2-2-2-222-1-1-1-1-1-10-2-20-2-22200001111110001121100000-1-1-1-10000000
χ2522222-122-1-1-1222-1-2-2-1-1-1-11122-100002-2122-2-2-2-21111-1-10220-2-2220000-11-1-111000-1-1-21100000-1-1110000000
χ2622222-122-1-1-1222-1-2-2-1-1-1-11122-100002-2122-2-2-2-21111-1-10-2-2022-2-20000-11-1-111000112-1-10000011-1-10000000
χ2722222-122-1-1-1222-1-2-2-1-1-1-11122-10000-221-2-222-2-21111-1-10220-2-2-2-200001-111-1-1000-1-12110000011-1-10000000
χ2822222-122-1-1-1222-1-2-2-1-1-1-11122-10000-221-2-222-2-21111-1-10-2-20222200001-111-1-100011-2-1-100000-1-1110000000
χ292222-1222222-1-1-1-122-1-1-1222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-120020000-1-1-1-122-1-1-1-122-100000-1-1-1-1-100000000000
χ302222-1222222-1-1-1-122-1-1-1222-1-122222-2-221111-1-1-1-1-1-1-1-120020000-1-1-1-1-2-21111-2-2-100000-1111100000000000
χ312222-1222222-1-1-1-122-1-1-1222-1-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-200-20000111122-1-1-1-1-2-21000001111100000000000
χ322222-1222222-1-1-1-122-1-1-1222-1-12-2-2-2-2-2-221111-1-1-1-1-1-1-1-1-200-200001111-2-21111221000001-1-1-1-100000000000
χ332222-1222222-1-1-1-1-2-2-1-1-12-2-2-1-1222222-2-2-1-111111111-1-1-200-20000-1-1-1-12-2-1-1112-21000001-1-11100000000000
χ342222-1222222-1-1-1-1-2-2-1-1-12-2-2-1-122222-22-211-1-1111111-1-1-200-20000-1-1-1-1-2211-1-1-22100000111-1-100000000000
χ352222-1222222-1-1-1-1-2-2-1-1-12-2-2-1-12-2-2-2-22-2-2-1-111111111-1-12002000011112-2-1-111-22-100000-111-1-100000000000
χ362222-1222222-1-1-1-1-2-2-1-1-12-2-2-1-12-2-2-2-2-22-211-1-1111111-1-1200200001111-2211-1-12-2-100000-1-1-11100000000000
χ372222-12-2-2222-1-1-1-12-2-1-1-1-22211-222-2-200-2−i3i3−i3i3-11-1-11111-20020000-1-11100−i3i3−i3i300100000-1−i3i3−i3i300000000000
χ382222-12-2-2222-1-1-1-12-2-1-1-1-22211-222-2-200-2i3−i3i3−i3-11-1-11111-20020000-1-11100i3−i3i3−i300100000-1i3−i3i3−i300000000000
χ392222-12-2-2222-1-1-1-12-2-1-1-1-22211-2-2-22200-2−i3i3−i3i3-11-1-11111200-2000011-1-100−i3i3−i3i300-1000001i3−i3i3−i300000000000
χ402222-12-2-2222-1-1-1-12-2-1-1-1-22211-2-2-22200-2i3−i3i3−i3-11-1-11111200-2000011-1-100i3−i3i3−i300-1000001−i3i3−i3i300000000000
χ412222-12-2-2222-1-1-1-1-22-1-1-1-2-2-211-222-2-2002−i3i3i3−i31-111-1-111200-20000-1-11100−i3i3i3−i300-1000001−i3i3i3−i300000000000
χ422222-12-2-2222-1-1-1-1-22-1-1-1-2-2-211-222-2-2002i3−i3−i3i31-111-1-111200-20000-1-11100i3−i3−i3i300-1000001i3−i3−i3i300000000000
χ432222-12-2-2222-1-1-1-1-22-1-1-1-2-2-211-2-2-222002−i3i3i3−i31-111-1-111-2002000011-1-100−i3i3i3−i300100000-1i3−i3−i3i300000000000
χ442222-12-2-2222-1-1-1-1-22-1-1-1-2-2-211-2-2-222002i3−i3−i3i31-111-1-111-2002000011-1-100i3−i3−i3i300100000-1−i3i3i3−i300000000000
χ4522-2-2222-2-22-22-2-2200-2-22-2002-222i−2i2i−2i00000000000002-202-2000002i−2i2i−2i0000000002-2000000000000002i−2i000
χ4622-2-2222-2-22-22-2-2200-2-22-2002-222i−2i2i−2i00000000000002-20-22000002i−2i2i−2i000000000-2200000000000000−2i2i000
χ4722-2-2222-2-22-22-2-2200-2-22-2002-22−2i2i−2i2i00000000000002-202-200000−2i2i−2i2i0000000002-200000000000000−2i2i000
χ4822-2-2222-2-22-22-2-2200-2-22-2002-22−2i2i−2i2i00000000000002-20-2200000−2i2i−2i2i000000000-22000000000000002i−2i000
χ4922-2-222-22-22-22-2-2200-2-22200-22-22i−2i−2i2i0000000000000-2200002i−2i002i−2i−2i2i0000000000002i−2i0000000002-200000
χ5022-2-222-22-22-22-2-2200-2-22200-22-22i−2i−2i2i0000000000000-220000−2i2i002i−2i−2i2i000000000000−2i2i000000000-2200000
χ5122-2-222-22-22-22-2-2200-2-22200-22-2−2i2i2i−2i0000000000000-2200002i−2i00−2i2i2i−2i0000000000002i−2i000000000-2200000
χ5222-2-222-22-22-22-2-2200-2-22200-22-2−2i2i2i−2i0000000000000-220000−2i2i00−2i2i2i−2i000000000000−2i2i0000000002-200000
χ5344444-2-4-4-2-2-2444-24-4-2-2-22-2-2-4-42000000200004-4-2-22222000000000000000000000000000000000000000000
χ5444444-2-4-4-2-2-2444-2-44-2-2-2222-4-42000000-20000-4422-2-222000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2000044-2-2-2-2-2-2-2111111000000000000-2-21111000000000000000000000000
χ564444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20000-4-4-22222-2-211111100000000000022-1-1-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-21-4-4111-222-2-2-200004-42-2-22222-1-1-1-111000000000000-2211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-21-4-4111-222-2-2-20000-44222-2-222-1-1-1-1110000000000002-2-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-214-41112-2-22220000002−2i32i3−2i32i3-2211-1-1-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-214-41112-2-222200000022i3−2i32i3−2i3-2211-1-1-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-21-44111222222000000-2−2i32i32i3−2i32-2-1-111-1-100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-21-44111222222000000-22i3−2i3−2i32i32-2-1-111-1-100000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-44-24-42-224-4-4-20022-22004-4-200000000000000000-2204-4000000000000000000-220000000000000000000
χ6444-4-44-24-42-224-4-4-20022-22004-4-200000000000000000-220-440000000000000000002-20000000000000000000
χ6544-4-44-2-442-224-4-4-20022-2-200-442000000000000000002-200004i−4i000000000000000000−2i2i0000000000000000
χ6644-4-44-2-442-224-4-4-20022-2-200-442000000000000000002-20000−4i4i0000000000000000002i−2i0000000000000000
χ6744-4-4-244-4-44-4-222-20022-2-400-2244i−4i4i−4i0000000000000-2200000000−2i2i−2i2i000000000000000000000000000000
χ6844-4-4-244-4-44-4-222-20022-2-400-224−4i4i−4i4i0000000000000-22000000002i−2i2i−2i000000000000000000000000000000
χ6944-4-4-24-44-44-4-222-20022-24002-2-44i−4i−4i4i00000000000002-200000000−2i2i2i−2i000000000000000000000000000000
χ7044-4-4-24-44-44-4-222-20022-24002-2-4−4i4i4i−4i00000000000002-2000000002i−2i−2i2i000000000000000000000000000000
χ714-44-44400-4-44-44-44004-4-40000000000000000000000000000000−2i22i200000000000000000000000−2i22i2000000000
χ724-44-44400-4-44-44-44004-4-400000000000000000000000000000002i2−2i2000000000000000000000002i2−2i2000000000
χ734-44-44-20022-2-44-4-200-2220−2i32i30000000000000000−2i32i30000000000−2i22i200000000000000000000000i2−i26−60000000
χ744-44-44-20022-2-44-4-200-2220−2i32i30000000000000000−2i32i300000000002i2−2i200000000000000000000000−i2i2−660000000
χ754-44-44-20022-2-44-4-200-22202i3−2i300000000000000002i3−2i30000000000−2i22i200000000000000000000000i2−i2−660000000
χ764-44-44-20022-2-44-4-200-22202i3−2i300000000000000002i3−2i300000000002i2−2i200000000000000000000000−i2i26−60000000
χ774-4-4444004-4-4-4-44400-44-40000000000000000000000000000000000000000000000000000000000000000−2i22i20
χ784-4-4444004-4-4-4-44400-44-400000000000000000000000000000000000000000000000000000000000000002i2−2i20
χ7988-8-8-4-48-84-44-444200-2-22400-44-4000000000000000002-2000000000000000000000000000000000000000000
χ8088-8-8-4-4-884-44-444200-2-22-4004-4400000000000000000-22000000000000000000000000000000000000000000
χ818-88-8-4800-8-884-44-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-40044-44-442002-2-20−4i34i300000000000000002i3−2i30000000000000000000000000000000000000000000000
χ838-88-8-4-40044-44-442002-2-204i3−4i30000000000000000−2i32i30000000000000000000000000000000000000000000000
χ848-8-888-400-444-8-88-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48008-8-844-4-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-44444-4200-22-20000000000000000000006-600000000000000000000000000000000000000000000
χ878-8-88-4-400-44444-4200-22-2000000000000000000000-6600000000000000000000000000000000000000000000

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