Finite Group Databasebeta

← Group #11878854

Character table — Group #11878854

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order1222334444666666346661212121212121212121222444466662266661212121212121248888121212121212666666224466661212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ9111111-1-1111111111-1111-1-111-1-1-1-11111-1-1-1-111111-111-1-1-111-1-1-1-1111-1-111-1-1-1-11-111-1-11-11-111-1-111-1-111-1-111-1-11-1
χ10111111-1-1111111111-1111-1-111-1-1-1-11111-1-1-1-111111-111-1-1-111-1-1-1-11-1-11111-1-1-1-11-111-1-11-1-1111-1-1-1-111-1-111-1-111-11
χ11111111-1-1111111111-1111-1-111-1-1-1-11111-1-1-1-11111-11-1-111-111-1-1-1-1111-1-111-1-1-1-1-11-1-111-11-11-1-111-1-11111-1-111-1-1-11
χ12111111-1-1111111111-1111-1-111-1-1-1-11111-1-1-1-11111-11-1-111-111-1-1-1-11-1-11111-1-1-1-1-11-1-111-111-1-1-11111-1-1-1-111-1-1111-1
χ13111111-1-1111111111-1111-1-111-1-1-1-111-1-11111-1-1-1-11-111-1-1-111-1-1-1-1-111-1-1-1-111111-111-1-1-111-1-1-11111-1-111-1-1-1-111-11
χ14111111-1-1111111111-1111-1-111-1-1-1-111-1-11111-1-1-1-11-111-1-1-111-1-1-1-1-1-1-111-1-111111-111-1-1-11-11-1-111-1-111-1-11111-1-11-1
χ15111111-1-1111111111-1111-1-111-1-1-1-111-1-11111-1-1-1-1-11-1-111-111-1-1-1-1-111-1-1-1-11111-11-1-1111-1-1111-1-1-1-11111-1-1-1-1111-1
χ16111111-1-1111111111-1111-1-111-1-1-1-111-1-11111-1-1-1-1-11-1-111-111-1-1-1-1-1-1-111-1-11111-11-1-1111-11-111-1-111-1-1-1-11111-1-1-11
χ1722222222-2-22222222-222222-2-222-2-2-2-22222-2-22222000000-2-2-222-2-2-20000-2-222-2-20000000000000000000000000000
χ1822222222-2-22222222-222222-2-222-2-2-2-2-2-2-2-222-2-2-2-2000000-2-2-222-2-22000022-2-2220000000000000000000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-222-2-222-2-22222220000002-2-2-2-222-20000-2-2-2-2220000000000000000000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-20000002-2-2-2-222200002222-2-20000000000000000000000000000
χ2122222-122222-1-1-122-12-1-1-122-1-1-1-1-1-122222222-1-1-1-122-1-1-1-12-1-1-1-1-1-120000-1-1-1-1-1-122-1-1-1-12200-1-1-1-100000000000000
χ2222222-122222-1-1-122-12-1-1-122-1-1-1-1-1-122222222-1-1-1-1-2-211112-1-1-1-1-1-120000-1-1-1-1-1-1-2-21111-2-200111100000000000000
χ2322222-122222-1-1-122-12-1-1-122-1-1-1-1-1-122-2-2-2-2-2-2111122-1-1-1-12-1-1-1-1-1-1-2000011111122-1-1-1-1-2-200111100000000000000
χ2422222-122222-1-1-122-12-1-1-122-1-1-1-1-1-122-2-2-2-2-2-21111-2-211112-1-1-1-1-1-1-20000111111-2-211112200-1-1-1-100000000000000
χ2522222-122-2-22-1-1-122-1-2-1-1-12211-1-111-2-22222-2-2-1-1-1-100−i3i3−i3i3-211-1-111-2000011-1-11100−i3i3−i3i30000−i3i3−i3i300000000000000
χ2622222-122-2-22-1-1-122-1-2-1-1-12211-1-111-2-22222-2-2-1-1-1-100i3−i3i3−i3-211-1-111-2000011-1-11100i3−i3i3−i30000i3−i3i3−i300000000000000
χ2722222-122-2-22-1-1-122-1-2-1-1-12211-1-111-2-2-2-2-2-222111100−i3i3−i3i3-211-1-11120000-1-111-1-100−i3i3−i3i30000i3−i3i3−i300000000000000
χ2822222-122-2-22-1-1-122-1-2-1-1-12211-1-111-2-2-2-2-2-222111100i3−i3i3−i3-211-1-11120000-1-111-1-100i3−i3i3−i30000−i3i3−i3i300000000000000
χ2922222-1-2-2222-1-1-122-1-2-1-1-1-2-2-1-111112222-2-2-2-2-1-1-1-12-2-1-111-2-1-1111120000-1-111112-2-1-1112-200-1-11100000000000000
χ3022222-1-2-2222-1-1-122-1-2-1-1-1-2-2-1-111112222-2-2-2-2-1-1-1-1-2211-1-1-2-1-1111120000-1-11111-2211-1-1-220011-1-100000000000000
χ3122222-1-2-2222-1-1-122-1-2-1-1-1-2-2-1-1111122-2-2222211112-2-1-111-2-1-11111-2000011-1-1-1-12-2-1-111-220011-1-100000000000000
χ3222222-1-2-2222-1-1-122-1-2-1-1-1-2-2-1-1111122-2-222221111-2211-1-1-2-1-11111-2000011-1-1-1-1-2211-1-12-200-1-11100000000000000
χ3322222-1-2-2-2-22-1-1-122-12-1-1-1-2-21111-1-1-2-222-2-222-1-1-1-100−i3i3i3−i321111-1-1-200001111-1-100−i3i3i3−i30000−i3i3i3−i300000000000000
χ3422222-1-2-2-2-22-1-1-122-12-1-1-1-2-21111-1-1-2-222-2-222-1-1-1-100i3−i3−i3i321111-1-1-200001111-1-100i3−i3−i3i30000i3−i3−i3i300000000000000
χ3522222-1-2-2-2-22-1-1-122-12-1-1-1-2-21111-1-1-2-2-2-222-2-2111100−i3i3i3−i321111-1-120000-1-1-1-11100−i3i3i3−i30000i3−i3−i3i300000000000000
χ3622222-1-2-2-2-22-1-1-122-12-1-1-1-2-21111-1-1-2-2-2-222-2-2111100i3−i3−i3i321111-1-120000-1-1-1-11100i3−i3−i3i30000−i3i3i3−i300000000000000
χ372222-122222-1222-1-1-12-1-1-1-1-1222222-1-10000000000222222-1-1-1-1-1-1-102222000000-1-1-1-1-1-100220000-1-1-1-1-1-1-1-1000000
χ382222-122222-1222-1-1-12-1-1-1-1-1222222-1-10000000000222222-1-1-1-1-1-1-10-2-2-2-2000000-1-1-1-1-1-100-2-2000011111111000000
χ392222-122222-1222-1-1-12-1-1-1-1-1222222-1-10000000000-2-2-2-2-2-2-1-1-1-1-1-1-10222200000011111100-2-200001111-1-1-1-1000000
χ402222-122222-1222-1-1-12-1-1-1-1-1222222-1-10000000000-2-2-2-2-2-2-1-1-1-1-1-1-10-2-2-2-200000011111100220000-1-1-1-11111000000
χ412222-12-2-222-1222-1-1-1-2-1-1-11122-2-2-2-2-1-100000000002-222-2-21-1-11111022-2-2000000-11-1-111002-20000-1-111-1-111000000
χ422222-12-2-222-1222-1-1-1-2-1-1-11122-2-2-2-2-1-100000000002-222-2-21-1-111110-2-222000000-11-1-11100-22000011-1-111-1-1000000
χ432222-12-2-222-1222-1-1-1-2-1-1-11122-2-2-2-2-1-10000000000-22-2-2221-1-11111022-2-20000001-111-1-100-22000011-1-1-1-111000000
χ442222-12-2-222-1222-1-1-1-2-1-1-11122-2-2-2-2-1-10000000000-22-2-2221-1-111110-2-2220000001-111-1-1002-20000-1-11111-1-1000000
χ4522-2-2222-20022-2-2-2-2202-2-22-2002-200002-22-20022-2-20000000002-2000−i2i2−i2i2002-200000000000000000000−i2i2−i2i2−i2i2−i2i200
χ4622-2-2222-20022-2-2-2-2202-2-22-2002-200002-22-20022-2-20000000002-2000i2−i2i2−i2002-200000000000000000000i2−i2i2−i2i2−i2i2−i200
χ4722-2-2222-20022-2-2-2-2202-2-22-2002-20000-22-2200-2-2220000000002-2000−i2i2−i2i200-2200000000000000000000−i2i2−i2i2i2−i2i2−i200
χ4822-2-2222-20022-2-2-2-2202-2-22-2002-20000-22-2200-2-2220000000002-2000i2−i2i2−i200-2200000000000000000000i2−i2i2−i2−i2i2−i2i200
χ4922-2-222-220022-2-2-2-2202-2-2-2200-2200002-2-220022-2-2000000000-22000−i2i2i2−i200-2200000000000000000000−i2i2i2−i2−i2i2i2−i200
χ5022-2-222-220022-2-2-2-2202-2-2-2200-2200002-2-220022-2-2000000000-22000i2−i2−i2i200-2200000000000000000000i2−i2−i2i2i2−i2−i2i200
χ5122-2-222-220022-2-2-2-2202-2-2-2200-220000-222-200-2-222000000000-22000−i2i2i2−i2002-200000000000000000000−i2i2i2−i2i2−i2−i2i200
χ5222-2-222-220022-2-2-2-2202-2-2-2200-220000-222-200-2-222000000000-22000i2−i2−i2i2002-200000000000000000000i2−i2−i2i2−i2i2i2−i200
χ534444-2444-4-4-2444-2-2-2-4-2-2-2-2-2-4-444-4-4220000000000000000222-2-222000000000000000000000000000000000000000
χ544444-24-4-4-4-4-2444-2-2-24-2-2-222-4-4-4-444220000000000000000-22222-2-2000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000000000044-2-2-2-2-211111100000000000-2-211110000000000000000000000
χ564444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000000-4-42222-21111110000000000022-1-1-1-10000000000000000000000
χ574444-2-244-4-4-2-2-2-2-2-21-4111-2-222-2-22222000000000000−2i32i3−2i32i32-1-111-1-10000000000000i3−i3i3−i30000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-21-4111-2-222-2-222220000000000002i3−2i32i3−2i32-1-111-1-10000000000000−i3i3−i3i30000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-21-411122-2-22222-2-200000000004-4-2-222211-1-1-1-100000000000-2211-1-10000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-21-411122-2-22222-2-20000000000-4422-2-2211-1-1-1-1000000000002-2-1-1110000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-214111222222-2-222000000000000−2i32i32i3−2i3-2-1-1-1-1110000000000000i3−i3−i3i30000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-214111222222-2-2220000000000002i3−2i3−2i32i3-2-1-1-1-1110000000000000−i3i3i3−i30000000000000000000000
χ6344-4-44-24-4004-222-4-4-20-2224-400-2200004-44-400-2-222000000000-22000000000-22000000000000000000000000000000
χ6444-4-44-24-4004-222-4-4-20-2224-400-220000-44-440022-2-2000000000-220000000002-2000000000000000000000000000000
χ6544-4-44-2-44004-222-4-4-20-222-44002-200004-4-4400-2-2220000000002-20000000002-2000000000000000000000000000000
χ6644-4-44-2-44004-222-4-4-20-222-44002-20000-444-40022-2-20000000002-2000000000-22000000000000000000000000000000
χ6744-4-4-244-400-24-4-422-20-222-22004-400000000000000000000000-22000−2i22i2−2i22i2000000000000000000000000i2−i2i2−i2000000
χ6844-4-4-244-400-24-4-422-20-222-22004-400000000000000000000000-220002i2−2i22i2−2i2000000000000000000000000−i2i2−i2i2000000
χ6944-4-4-24-4400-24-4-422-20-2222-200-44000000000000000000000002-2000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i2000000
χ7044-4-4-24-4400-24-4-422-20-2222-200-44000000000000000000000002-20002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i2000000
χ714-44-4440000-4-44-44-440-44-4000000000000004-4000000000000000000000000004-40000000000000000000000000000
χ724-44-4440000-4-44-44-440-44-400000000000000-4400000000000000000000000000-440000000000000000000000000000
χ734-44-44-20000-42-224-4-202-22000000−2i32i30000004-4−2i32i3−2i32i300000000000−2i32i3000000000-220000000000000000000000000000
χ744-44-44-20000-42-224-4-202-22000000−2i32i3000000-442i3−2i32i3−2i300000000000−2i32i30000000002-20000000000000000000000000000
χ754-44-44-20000-42-224-4-202-220000002i3−2i30000004-42i3−2i32i3−2i3000000000002i3−2i3000000000-220000000000000000000000000000
χ764-44-44-20000-42-224-4-202-220000002i3−2i3000000-44−2i32i3−2i32i3000000000002i3−2i30000000002-20000000000000000000000000000
χ774-4-4444004-4-4-4-44-4440-4-44004-40000-44000000000000000004-40000000000000000000000000000000000000000000
χ784-4-444400-44-4-4-44-4440-4-4400-4400004-400000000000000000-440000000000000000000000000000000000000000000
χ794-4-444-2004-4-422-2-44-2022-200-220000-44000000−2i32i32i3−2i30000000-22000000000−2i32i300000000000000000000000000000000
χ804-4-444-2004-4-422-2-44-2022-200-220000-440000002i3−2i3−2i32i30000000-220000000002i3−2i300000000000000000000000000000000
χ814-4-444-200-44-422-2-44-2022-2002-200004-4000000−2i32i32i3−2i300000002-20000000002i3−2i300000000000000000000000000000000
χ824-4-444-200-44-422-2-44-2022-2002-200004-40000002i3−2i3−2i32i300000002-2000000000−2i32i300000000000000000000000000000000
χ834-4-44-24004-42-4-442-2-2022-2004-400002-200000000000000000-220000000000000000000000000000000−2i32i30000000000
χ844-4-44-24004-42-4-442-2-2022-2004-400002-200000000000000000-2200000000000000000000000000000002i3−2i30000000000
χ854-4-44-2400-442-4-442-2-2022-200-440000-22000000000000000002-20000000000000000000000000000023−23000000000000
χ864-4-44-2400-442-4-442-2-2022-200-440000-22000000000000000002-200000000000000000000000000000−2323000000000000
χ8788-8-8-4-48-800-4-44444202-2-2-4400-44000000000000000000000002-200000000000000000000000000000000000000000
χ8888-8-8-4-4-8800-4-44444202-2-24-4004-400000000000000000000000-2200000000000000000000000000000000000000000
χ898-88-8-4800004-88-8-44-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-4000044-44-4420-22-2000000−4i34i3000000000000000000000002i3−2i3000000000000000000000000000000000000000
χ918-88-8-4-4000044-44-4420-22-20000004i3−4i300000000000000000000000−2i32i3000000000000000000000000000000000000000
χ928-8-88-4-4008-8444-44-420-2-2200-4400004-4000000000000000002-20000000000000000000000000000000000000000000
χ938-8-88-4-400-88444-44-420-2-22004-40000-4400000000000000000-220000000000000000000000000000000000000000000

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