Finite Group Databasebeta

← Group #11878850

Character table — Group #11878850

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121216161616161624242424242424243636363648487272
order1222334444446666663666121212121212121212121212224466662266661212121212124488881212121212122424242424242424666666224466668888121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ9111111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-111111-111-1-111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-11-111-1-11-11-111-1-111-1-11-11-1
χ10111111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-111111-111-1-111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-111111-111-1-11-1-1111-1-1-1-111-11-11
χ11111111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-11111-11-1-11111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-11-1-111-11-11-1-11111-1-1-11-11
χ12111111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-11111-11-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111-11-1-111-111-1-1-111-1-1111-11-1
χ13111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11-111-1-111-1-1-1-1-1111-1-1-1-111111111-1-1-1-11-111-1-1-111-1-1-111-1-1111-1-11
χ14111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11-111-1-111-1-1-1-1-11-1-111-1-11111-1-1-1-111111-111-1-1-11-11-1-11111-1-1-111-1
χ15111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11-1-11111-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-11-1-1111-1-1111-1-1-1-111-111-1
χ16111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11-1-11111-1-1-1-1-11-1-111-1-11111-1-1-1-11111-11-1-1111-11-111-1-111-1-11-1-11
χ1722222222-2-2-2-2222222222222-2-2-2-222-2-2-2-222222222000000-2-222-2-2-2-20000-2-222-2-2000000000000000000000000000000
χ1822222222-2-2-2-2222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2000000-2-222-2-222000022-2-222000000000000000000000000000000
χ19222222-2-222-2-22222222222-2-222-2-2-2-222-2-222-2-22222000000-2-2-2-222-220000-2-2-2-222000000000000000000000000000000
χ20222222-2-222-2-22222222222-2-222-2-2-2-222-2-2-2-222-2-2-2-2000000-2-2-2-2222-200002222-2-2000000000000000000000000000000
χ2122222-122222222-1-1-12-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1-1-10000000022-1-1-1-12200-1-1-1-100000000
χ2222222-122222222-1-1-12-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-2-21111-1-1-1-1-1-1220000-1-1-1-1-1-100000000-2-21111-2-200111100000000
χ2322222-122222222-1-1-12-1-1-1-12222-1-1-1-1-1-122-2-2-2-2111122-1-1-1-1-1-1-1-1-1-1-2-200001111110000000022-1-1-1-1-2-200111100000000
χ2422222-122222222-1-1-12-1-1-1-12222-1-1-1-1-1-122-2-2-2-21111-2-21111-1-1-1-1-1-1-2-2000011111100000000-2-211112200-1-1-1-100000000
χ2522222-122-2-2-2-222-1-1-12-1-1-1-122-2-211-1-111-2-22222-1-1-1-100−i3i3−i3i311-1-111-2-2000011-1-1110000000000−i3i3−i3i30000−i3i3−i3i300000000
χ2622222-122-2-2-2-222-1-1-12-1-1-1-122-2-211-1-111-2-22222-1-1-1-100i3−i3i3−i311-1-111-2-2000011-1-1110000000000i3−i3i3−i30000i3−i3i3−i300000000
χ2722222-122-2-2-2-222-1-1-12-1-1-1-122-2-211-1-111-2-2-2-2-2-2111100−i3i3−i3i311-1-111220000-1-111-1-10000000000−i3i3−i3i30000i3−i3i3−i300000000
χ2822222-122-2-2-2-222-1-1-12-1-1-1-122-2-211-1-111-2-2-2-2-2-2111100i3−i3i3−i311-1-111220000-1-111-1-10000000000i3−i3i3−i30000−i3i3−i3i300000000
χ2922222-1-2-222-2-222-1-1-12-1-1-1-1-2-2221111-1-1-2-222-2-2-1-1-1-100−i3i3i3−i31111-1-1-2200001111-1-10000000000−i3i3i3−i30000−i3i3i3−i300000000
χ3022222-1-2-222-2-222-1-1-12-1-1-1-1-2-2221111-1-1-2-222-2-2-1-1-1-100i3−i3−i3i31111-1-1-2200001111-1-10000000000i3−i3−i3i30000i3−i3−i3i300000000
χ3122222-1-2-222-2-222-1-1-12-1-1-1-1-2-2221111-1-1-2-2-2-222111100−i3i3i3−i31111-1-12-20000-1-1-1-1110000000000−i3i3i3−i30000i3−i3−i3i300000000
χ3222222-1-2-222-2-222-1-1-12-1-1-1-1-2-2221111-1-1-2-2-2-222111100i3−i3−i3i31111-1-12-20000-1-1-1-1110000000000i3−i3−i3i30000−i3i3i3−i300000000
χ3322222-1-2-2-2-22222-1-1-12-1-1-1-1-2-2-2-2-1-111112222-2-2-1-1-1-12-2-1-111-1-111112-20000-1-11111000000002-2-1-1112-200-1-11100000000
χ3422222-1-2-2-2-22222-1-1-12-1-1-1-1-2-2-2-2-1-111112222-2-2-1-1-1-1-2211-1-1-1-111112-20000-1-1111100000000-2211-1-1-220011-1-100000000
χ3522222-1-2-2-2-22222-1-1-12-1-1-1-1-2-2-2-2-1-1111122-2-22211112-2-1-111-1-11111-22000011-1-1-1-1000000002-2-1-111-220011-1-100000000
χ3622222-1-2-2-2-22222-1-1-12-1-1-1-1-2-2-2-2-1-1111122-2-2221111-2211-1-1-1-11111-22000011-1-1-1-100000000-2211-1-12-200-1-11100000000
χ372222-12222222-1-1222-1-1-1-1-1-1-1-1-1222222-1-100000000222222-1-1-1-1-1-1002222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000000-1-100
χ382222-12222222-1-1222-1-1-1-1-1-1-1-1-1222222-1-100000000222222-1-1-1-1-1-100-2-2-2-200000011111111-1-1-1-1-1-100-2-2000000001100
χ392222-12222222-1-1222-1-1-1-1-1-1-1-1-1222222-1-100000000-2-2-2-2-2-2-1-1-1-1-1-1002222000000-1-1-1-1-1-1-1-111111100-2-2000000001100
χ402222-12222222-1-1222-1-1-1-1-1-1-1-1-1222222-1-100000000-2-2-2-2-2-2-1-1-1-1-1-100-2-2-2-200000011111111111111002200000000-1-100
χ412222-12-2-2-2-222-1-1222-1-1-1-1-1111122-2-2-2-2-1-1000000002-222-2-2-1-111110022-2-2000000-1-1-1-11111-11-1-111002-200000000-1100
χ422222-12-2-2-2-222-1-1222-1-1-1-1-1111122-2-2-2-2-1-1000000002-222-2-2-1-1111100-2-2220000001111-1-1-1-1-11-1-11100-22000000001-100
χ432222-12-2-2-2-222-1-1222-1-1-1-1-1111122-2-2-2-2-1-100000000-22-2-222-1-111110022-2-2000000-1-1-1-111111-111-1-100-22000000001-100
χ442222-12-2-2-2-222-1-1222-1-1-1-1-1111122-2-2-2-2-1-100000000-22-2-222-1-1111100-2-2220000001111-1-1-1-11-111-1-1002-200000000-1100
χ4522-2-2222-200002-22-2-2-222-2-22-200002-200002-22-222-2-2000000002-20000−i2i2−i2i2002-200−i2−i2i2i2−i2−i2i2i200000000000000−i2i2−i2i20000
χ4622-2-2222-200002-22-2-2-222-2-22-200002-200002-22-222-2-2000000002-20000i2−i2i2−i2002-200i2i2−i2−i2i2i2−i2−i200000000000000i2−i2i2−i20000
χ4722-2-2222-200002-22-2-2-222-2-22-200002-20000-22-22-2-222000000002-20000−i2i2−i2i200-2200−i2−i2i2i2−i2−i2i2i200000000000000i2−i2i2−i20000
χ4822-2-2222-200002-22-2-2-222-2-22-200002-20000-22-22-2-222000000002-20000i2−i2i2−i200-2200i2i2−i2−i2i2i2−i2−i200000000000000−i2i2−i2i20000
χ4922-2-222-2200002-22-2-2-222-2-2-220000-2200002-2-2222-2-200000000-220000−i2i2i2−i200-2200−i2−i2i2i2i2i2−i2−i200000000000000−i2i2i2−i20000
χ5022-2-222-2200002-22-2-2-222-2-2-220000-2200002-2-2222-2-200000000-220000i2−i2−i2i200-2200i2i2−i2−i2−i2−i2i2i200000000000000i2−i2−i2i20000
χ5122-2-222-2200002-22-2-2-222-2-2-220000-220000-222-2-2-22200000000-220000−i2i2i2−i2002-200−i2−i2i2i2i2i2−i2−i200000000000000i2−i2−i2i20000
χ5222-2-222-2200002-22-2-2-222-2-2-220000-220000-222-2-2-22200000000-220000i2−i2−i2i2002-200i2i2−i2−i2−i2−i2i2i200000000000000−i2i2i2−i20000
χ534444-2444-4-4-4-4-2-2444-2-2-2-2-2-2-222-4-444-4-4220000000000000022-2-222000000000000000000000000000000000000000000
χ544444-24-4-444-4-4-2-2444-2-2-2-2-222-2-2-4-4-4-44422000000000000002222-2-2000000000000000000000000000000000000000000
χ554444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-211111100000000000000000000-2-211110000000000000000
χ564444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-200000000-4-422221111110000000000000000000022-1-1-1-10000000000000000
χ574444-2-244-4-4-4-4-2-2-2-2-2-21111-2-22222-2-222220000000000−2i32i3−2i32i3-1-111-1-10000000000000000000000i3−i3i3−i30000000000000000
χ584444-2-244-4-4-4-4-2-2-2-2-2-21111-2-22222-2-2222200000000002i3−2i32i3−2i3-1-111-1-10000000000000000000000−i3i3−i3i30000000000000000
χ594444-2-2-4-444-4-4-2-2-2-2-2-2111122-2-22222-2-2220000000000−2i32i32i3−2i3-1-1-1-1110000000000000000000000i3−i3−i3i30000000000000000
χ604444-2-2-4-444-4-4-2-2-2-2-2-2111122-2-22222-2-22200000000002i3−2i3−2i32i3-1-1-1-1110000000000000000000000−i3i3i3−i30000000000000000
χ614444-2-2-4-4-4-444-2-2-2-2-2-211112222-2-22222-2-2000000004-4-2-22211-1-1-1-100000000000000000000-2211-1-10000000000000000
χ624444-2-2-4-4-4-444-2-2-2-2-2-211112222-2-22222-2-200000000-4422-2-211-1-1-1-1000000000000000000002-2-1-1110000000000000000
χ6344-4-44-24-400004-4-222-4-2-2224-40000-2200004-44-4-2-22200000000-220000000000-2200000000000000000000000000000000
χ6444-4-44-24-400004-4-222-4-2-2224-40000-220000-44-4422-2-200000000-2200000000002-200000000000000000000000000000000
χ6544-4-44-2-4400004-4-222-4-2-222-4400002-200004-4-44-2-222000000002-200000000002-200000000000000000000000000000000
χ6644-4-44-2-4400004-4-222-4-2-222-4400002-20000-444-422-2-2000000002-20000000000-2200000000000000000000000000000000
χ6744-4-4-244-40000-224-4-42-2-222-2200004-400000000000000000000-220000−2i22i2−2i22i2000000i2i2−i2−i2i2i2−i2−i20000000000000000000000
χ6844-4-4-244-40000-224-4-42-2-222-2200004-400000000000000000000-2200002i2−2i22i2−2i2000000−i2−i2i2i2−i2−i2i2i20000000000000000000000
χ6944-4-4-24-440000-224-4-42-2-2222-20000-44000000000000000000002-20000−2i22i22i2−2i2000000i2i2−i2−i2−i2−i2i2i20000000000000000000000
χ7044-4-4-24-440000-224-4-42-2-2222-20000-44000000000000000000002-200002i2−2i2−2i22i2000000−i2−i2i2i2i2i2−i2−i20000000000000000000000
χ714-44-44400004-4-4-4-44-444-44-400004-400004-4000000000000004-40000000000000000000000000000000000000000000000
χ724-44-4440000-44-4-4-44-444-44-40000-440000-4400000000000000-440000000000000000000000000000000000000000000000
χ734-44-44-200004-4-4-42-224-22-220000-2200004-40000−2i32i3−2i32i3000000-220000000000−2i32i30000000000000000000000000000000000
χ744-44-44-200004-4-4-42-224-22-220000-2200004-400002i3−2i32i3−2i3000000-2200000000002i3−2i30000000000000000000000000000000000
χ754-44-44-20000-44-4-42-224-22-2200002-20000-440000−2i32i3−2i32i30000002-200000000002i3−2i30000000000000000000000000000000000
χ764-44-44-20000-44-4-42-224-22-2200002-20000-4400002i3−2i32i3−2i30000002-20000000000−2i32i30000000000000000000000000000000000
χ774-44-4-2400004-422-44-4-2-22-2200004-40000-2200000000000000-220000000000000000−2i32i3−2i32i300000000000000000000000000
χ784-44-4-2400004-422-44-4-2-22-2200004-40000-2200000000000000-2200000000000000002i3−2i32i3−2i300000000000000000000000000
χ794-44-4-240000-4422-44-4-2-22-220000-4400002-2000000000000002-200000000000000000000−2i32i3−2i32i30000000000000000000000
χ804-44-4-240000-4422-44-4-2-22-220000-4400002-2000000000000002-2000000000000000000002i3−2i32i3−2i30000000000000000000000
χ814-4-4444004-400-44-4-44-44-4-44004-400004-4000000000000000000004-4000000000000000000000000000000000000000000
χ824-4-444400-4400-44-4-44-44-4-4400-440000-4400000000000000000000-44000000000000000000000000000000000000000000
χ834-4-444-2004-400-4422-2-4-222-2004-40000-22000000−2i32i32i3−2i30000000000-220000000000−2i32i3000000000000000000000000000000
χ844-4-444-2004-400-4422-2-4-222-2004-40000-220000002i3−2i3−2i32i30000000000-2200000000002i3−2i3000000000000000000000000000000
χ854-4-444-200-4400-4422-2-4-222-200-4400002-2000000−2i32i32i3−2i300000000002-200000000002i3−2i3000000000000000000000000000000
χ864-4-444-200-4400-4422-2-4-222-200-4400002-20000002i3−2i3−2i32i300000000002-20000000000−2i32i3000000000000000000000000000000
χ874-4-44-24004-4002-2-4-442-222-200-2200004-400000000000000000000-220000000000006−6−666−6−660000000000000000000000
χ884-4-44-24004-4002-2-4-442-222-200-2200004-400000000000000000000-22000000000000−666−6−666−60000000000000000000000
χ894-4-44-2400-44002-2-4-442-222-2002-20000-44000000000000000000002-20000000000006−6−66−666−60000000000000000000000
χ904-4-44-2400-44002-2-4-442-222-2002-20000-44000000000000000000002-2000000000000−666−66−6−660000000000000000000000
χ9188-8-8-4-48-80000-44-444422-2-2-440000-44000000000000000000002-200000000000000000000000000000000000000000000
χ9288-8-8-4-4-880000-44-444422-2-24-400004-400000000000000000000-2200000000000000000000000000000000000000000000
χ938-88-8-4-400008-8444-44-42-22-20000-440000-44000000000000002-20000000000000000000000000000000000000000000000
χ948-88-8-4-40000-88444-44-42-22-200004-400004-400000000000000-220000000000000000000000000000000000000000000000
χ958-8-88-4-4008-8004-444-442-2-2200-440000-44000000000000000000002-2000000000000000000000000000000000000000000
χ968-8-88-4-400-88004-444-442-2-22004-400004-400000000000000000000-22000000000000000000000000000000000000000000

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