Finite Group Databasebeta

← Group #11895677

Character table — Group #11895677

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order1222334444666666346661212121212121212444444121212121212121212121212444444888812121212121212121212121212128888441212121212121212242424248822
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111
χ9111111-1-1111111111-1111-1-1111-1-1111-1-11-1-111-1-1-111-1-1-1-11-1111111-1-1111111-1-11-111-1-11111-1-111-1-11-1-1-111-1-1-1-11-1
χ10111111-1-1111111111-1111-1-1111-1-1111-1-11-1-111-1-1-111-1-1-1-11-111-1-1-1-111111111-1-11-111-1-1-1-1-1-11-1-1-1111-1-1-1-1-11111-11
χ11111111-1-1111111111-1111-1-1111-1-1111-1-1-11-1-1-111-111-1-1-1-11-1-1-111-1-111-1-1-1-111-1-1-11-1-111-1-1-1-1-1111-1-11-111-1-111111-1
χ12111111-1-1111111111-1111-1-1111-1-1111-1-1-11-1-1-111-111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-111-1-1-11-1-111111111-1-1111-11111-1-1-1-1-11
χ13111111-1-1111111111-1111-1-1111-1-11-1-1111-1-111-1-1-111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-1111-1-1-111111-1-111-11
χ14111111-1-1111111111-1111-1-1111-1-11-1-1111-1-111-1-1-111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1111-111-1-1111111-1-111-1111-1-111-1-11-1
χ15111111-1-1111111111-1111-1-1111-1-11-1-111-11-1-1-111-111-1-1-1-1-111111-1-1111111-1-111-11-1-1111111-1-111-1-1-11-1-1-1-111-1-1-11
χ16111111-1-1111111111-1111-1-1111-1-11-1-111-11-1-1-111-111-1-1-1-1-1111-1-111-1-11111-1-111-11-1-111-1-1-1-11-1-1-111-11-1-111-1-1111-1
χ1722222222-2-22222222-222222-2-2-222-2222200-20000-2-2-2-2-222-2-200000000000022220000000000000000-2-20000000000
χ1822222222-2-22222222-222222-2-2-222-2-2-2-2-200-20000-2-2-2-2-22222000000000000-2-2-2-20000000000000000220000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200200002-2-222-2-2-2200000000000022-2-20000000000000000-220000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200200002-2-222-2-22-2000000000000-2-22200000000000000002-20000000000
χ2122222-12222222-1-1-1-12-1-1-1222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-12222000000-1-1-1-1-1-1-1-122-1-1-1-10000020000-1-1-1-100000000
χ2222222-12222222-1-1-1-12-1-1-1222-1-1-1-122222-2-221111-1-1-1-1-1-1-122-2-20000001111-1-1-1-1-2-2111100000-20000-1-11100000000
χ2322222-12222222-1-1-1-12-1-1-1222-1-1-1-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000001111111122-1-1-1-100000-20000111100000000
χ2422222-12222222-1-1-1-12-1-1-1222-1-1-1-12-2-2-2-2-2-221111-1-1-1-1-1-1-1-2-222000000-1-1-1-11111-2-21111000002000011-1-100000000
χ2522222-122-2-2222-1-1-1-1-2-1-1-122-211-1-1-2222200-2−i3i3−i3i311111-1-1-2-200000000−i3−i3i3i3-1-1-1-100−i3i3−i3i3000000000011−i3i300000000
χ2622222-122-2-2222-1-1-1-1-2-1-1-122-211-1-1-2222200-2i3−i3i3−i311111-1-1-2-200000000i3i3−i3−i3-1-1-1-100i3−i3i3−i3000000000011i3−i300000000
χ2722222-122-2-2222-1-1-1-1-2-1-1-122-211-1-1-2-2-2-2-200-2−i3i3−i3i311111-1-12200000000i3i3−i3−i3111100−i3i3−i3i30000000000-1-1i3−i300000000
χ2822222-122-2-2222-1-1-1-1-2-1-1-122-211-1-1-2-2-2-2-200-2i3−i3i3−i311111-1-12200000000−i3−i3i3i3111100i3−i3i3−i30000000000-1-1−i3i300000000
χ2922222-1-2-222222-1-1-1-1-2-1-1-1-2-22-1-111222-2-22-2-2-1-1111-1-111112-222000000-1-1-1-1-1-1112-2-1-11100000-20000-111100000000
χ3022222-1-2-222222-1-1-1-1-2-1-1-1-2-22-1-111222-2-2-22-211-1-11-1-111112-2-2-20000001111-1-111-2211-1-10000020000-11-1-100000000
χ3122222-1-2-222222-1-1-1-1-2-1-1-1-2-22-1-1112-2-2222-2-2-1-1111-1-11111-22-2-2000000111111-1-12-2-1-11100000200001-1-1-100000000
χ3222222-1-2-222222-1-1-1-1-2-1-1-1-2-22-1-1112-2-222-22-211-1-11-1-11111-2222000000-1-1-1-111-1-1-2211-1-100000-200001-11100000000
χ3322222-1-2-2-2-2222-1-1-1-12-1-1-1-2-2-21111-222-2-2002−i3i3i3−i3-111-1-111-2200000000−i3−i3i3i3-1-11100−i3i3i3−i300000000001-1i3−i300000000
χ3422222-1-2-2-2-2222-1-1-1-12-1-1-1-2-2-21111-222-2-2002i3−i3−i3i3-111-1-111-2200000000i3i3−i3−i3-1-11100i3−i3−i3i300000000001-1−i3i300000000
χ3522222-1-2-2-2-2222-1-1-1-12-1-1-1-2-2-21111-2-2-222002−i3i3i3−i3-111-1-1112-200000000i3i3−i3−i311-1-100−i3i3i3−i30000000000-11−i3i300000000
χ3622222-1-2-2-2-2222-1-1-1-12-1-1-1-2-2-21111-2-2-222002i3−i3−i3i3-111-1-1112-200000000−i3−i3i3i311-1-100i3−i3−i3i30000000000-11i3−i300000000
χ372222-122222-1-1-1222-12-1-1-1-1-1-12222-1000022-122222-1-1-1-1-1-1000022222200000000-1-1-1-1-1-1000020-1-1-1-10000-1-1-1-10000
χ382222-122222-1-1-1222-12-1-1-1-1-1-12222-1000022-122222-1-1-1-1-1-10000-2-2-2-2-2-200000000-1-1-1-1-1-10000-201111000011110000
χ392222-122222-1-1-1222-12-1-1-1-1-1-12222-10000-2-2-1-2-2-2-22-1-1-1-1-1-1000022-2-2-2-200000000111111000020-1-1-1-1000011110000
χ402222-122222-1-1-1222-12-1-1-1-1-1-12222-10000-2-2-1-2-2-2-22-1-1-1-1-1-10000-2-22222000000001111110000-2011110000-1-1-1-10000
χ412222-12-2-222-1-1-1222-1-2-1-1-111-122-2-2-100002-2122-2-2-2-1-1111100002222-2-200000000-11-1-1110000-20-1-1110000-1-1110000
χ422222-12-2-222-1-1-1222-1-2-1-1-111-122-2-2-100002-2122-2-2-2-1-111110000-2-2-2-22200000000-11-1-11100002011-1-1000011-1-10000
χ432222-12-2-222-1-1-1222-1-2-1-1-111-122-2-2-10000-221-2-222-2-1-11111000022-2-222000000001-111-1-10000-20-1-111000011-1-10000
χ442222-12-2-222-1-1-1222-1-2-1-1-111-122-2-2-10000-221-2-222-2-1-111110000-2-222-2-2000000001-111-1-100002011-1-10000-1-1110000
χ4522-2-2222-2002-2-2-22-220-2-222-20002-202i−2i2i−2i0000000000002-2000000−i2i2−i2i200002i−2i2i−2i00000022−2−20000000000−i2i2−i2i22−200
χ4622-2-2222-2002-2-2-22-220-2-222-20002-202i−2i2i−2i0000000000002-2000000i2−i2i2−i200002i−2i2i−2i000000−2−2220000000000i2−i2i2−i2−2200
χ4722-2-2222-2002-2-2-22-220-2-222-20002-20−2i2i−2i2i0000000000002-2000000−i2i2−i2i20000−2i2i−2i2i000000−2−2220000000000−i2i2−i2i2−2200
χ4822-2-2222-2002-2-2-22-220-2-222-20002-20−2i2i−2i2i0000000000002-2000000i2−i2i2−i20000−2i2i−2i2i00000022−2−20000000000i2−i2i2−i22−200
χ4922-2-222-22002-2-2-22-220-2-22-22000-2202i−2i−2i2i000000000000-22000000−i2i2i2−i200002i−2i−2i2i00000022−2−20000000000−i2i2i2−i2−2200
χ5022-2-222-22002-2-2-22-220-2-22-22000-2202i−2i−2i2i000000000000-22000000i2−i2−i2i200002i−2i−2i2i000000−2−2220000000000i2−i2−i2i22−200
χ5122-2-222-22002-2-2-22-220-2-22-22000-220−2i2i2i−2i000000000000-22000000−i2i2i2−i20000−2i2i2i−2i000000−2−2220000000000−i2i2i2−i22−200
χ5222-2-222-22002-2-2-22-220-2-22-22000-220−2i2i2i−2i000000000000-22000000i2−i2−i2i20000−2i2i2i−2i00000022−2−20000000000i2−i2−i2i2−2200
χ532-22-22200-22-22-22-2-2202-2-200-22-20020000000000002-20000002-22i−2i00002-22-200000000002i−2i2i−2i002i−2i00000000000000
χ542-22-22200-22-22-22-2-2202-2-200-22-20020000000000002-20000002-2−2i2i00002-22-20000000000−2i2i−2i2i00−2i2i00000000000000
χ552-22-22200-22-22-22-2-2202-2-200-22-20020000000000002-2000000-222i−2i0000-22-220000000000−2i2i−2i2i002i−2i00000000000000
χ562-22-22200-22-22-22-2-2202-2-200-22-20020000000000002-2000000-22−2i2i0000-22-2200000000002i−2i2i−2i00−2i2i00000000000000
χ574444-2444-4-4-2-2-2444-2-4-2-2-2-2-22-4-444200000020000-42222-2-20000000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-2-2444-24-2-2-2222-4-4-4-42000000-20000422-2-2220000000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2000044-2-2-2-2-2-2111111000000000000000000-2-211110000000000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-4-22222-211111100000000000000000022-1-1-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-220000002−2i32i3−2i32i32-1-1-1-11100000000000000000000i3−i3i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-2200000022i3−2i32i3−2i32-1-1-1-11100000000000000000000−i3i3−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-411122-2-2-222-200004-42-2-222211-1-1-1-1000000000000000000-2211-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-411122-2-2-222-20000-44222-2-2211-1-1-1-10000000000000000002-2-1-1110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2−2i32i32i3−2i3-2-1-111-1-100000000000000000000i3−i3−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-22i3−2i3−2i32i3-2-1-111-1-100000000000000000000−i3i3i3−i30000000000000000000000
χ6744-4-44-24-4004-4-42-22-2022-24-4000-2204i−4i4i−4i000000000000-2200000000000000−2i2i−2i2i0000000000000000000000000000
χ6844-4-44-24-4004-4-42-22-2022-24-4000-220−4i4i−4i4i000000000000-22000000000000002i−2i2i−2i0000000000000000000000000000
χ6944-4-44-2-44004-4-42-22-2022-2-440002-204i−4i−4i4i0000000000002-200000000000000−2i2i2i−2i0000000000000000000000000000
χ7044-4-44-2-44004-4-42-22-2022-2-440002-20−4i4i4i−4i0000000000002-2000000000000002i−2i−2i2i0000000000000000000000000000
χ7144-4-4-244-400-222-44-4-2022-2-220004-400000000000000000-22000000−2i22i2−2i22i20000000000000000000000000000i2−i2i2−i20000
χ7244-4-4-244-400-222-44-4-2022-2-220004-400000000000000000-220000002i2−2i22i2−2i20000000000000000000000000000−i2i2−i2i20000
χ7344-4-4-24-4400-222-44-4-2022-22-2000-44000000000000000002-2000000−2i22i22i2−2i20000000000000000000000000000i2−i2−i2i20000
χ7444-4-4-24-4400-222-44-4-2022-22-2000-44000000000000000002-20000002i2−2i2−2i22i20000000000000000000000000000−i2i2i2−i20000
χ754-44-444004-4-44-44-4-4404-4-4004-4400-4000000000000-4400000000000000000000000000000000000000000000000000
χ764-44-44-2004-4-44-4-222-20-2220042-200-40000000000002-200000000000000−2i32i32i3−2i300000000000000000000000000000000
χ774-44-44-2004-4-44-4-222-20-2220042-200-40000000000002-2000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ784-44-44-200-44-44-4-222-20-22200-4-22004000000000000-220000004-4000000-22-2200000000000000000000000000000000
χ794-44-44-200-44-44-4-222-20-22200-4-22004000000000000-22000000-440000002-22-200000000000000000000000000000000
χ804-44-4-24004-42-224-4-4-20-22200-2-440020000000000002-2000000000000000000000000000000000000−2i32i3000000000000
χ814-44-4-24004-42-224-4-4-20-22200-2-440020000000000002-20000000000000000000000000000000000002i3−2i3000000000000
χ824-44-4-2400-442-224-4-4-20-2220024-400-2000000000000-22000000004i−4i000000000000000000000000−2i2i00000000000000
χ834-44-4-2400-442-224-4-4-20-2220024-400-2000000000000-2200000000−4i4i0000000000000000000000002i−2i00000000000000
χ844-4-44440000-4-44-4-4440-44-400000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ854-4-44440000-4-44-4-4440-44-4000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ8688-8-8-4-48-800-4444-4420-2-22-44000-44000000000000000002-20000000000000000000000000000000000000000000000
χ8788-8-8-4-4-8800-4444-4420-2-224-40004-400000000000000000-220000000000000000000000000000000000000000000000
χ888-88-8-4-4008-84-44-444202-2-200-44-4004000000000000-2200000000000000000000000000000000000000000000000000
χ898-88-8-4-400-884-44-444202-2-2004-4400-40000000000002-200000000000000000000000000000000000000000000000000
χ908-8-888-40000-8-8844-4-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-48000044-4-8-88-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4000044-444-420-22-200000000000000000000006-6000000000000000000000000000000000000000000000000
χ938-8-88-4-4000044-444-420-22-20000000000000000000000-66000000000000000000000000000000000000000000000000

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