Finite Group Databasebeta

← Group #11882280

Character table — Group #11882280

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order1222334444666666346661212121212121212121222444412121212441212121212121212121212466888812121212121212121212224466661212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-11111-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1
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
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ9111111-1-1111111111-111111-1-1-1-11-1-1111-1-111-1-1-1-11-1-111-1-111-1-1-1-1-11111-1-111-1-11-111-1-11-11-111-1-111-1-111-1-111-1-11-1
χ10111111-1-1111111111-111111-1-1-1-11-1-1111-1-111-1-1-1-11-1-111-1-111-1-1-1-1-111-1-11111-1-11-111-1-11-1-1111-1-1-1-111-1-111-1-111-11
χ11111111-1-1111111111-111111-1-1-1-11-1-1111-1-111-1-1-1-1-11-1-1-11111-1-1-1-1-11111-1-111-1-1-11-1-111-11-11-1-111-1-11111-1-111-1-1-11
χ12111111-1-1111111111-111111-1-1-1-11-1-1111-1-111-1-1-1-1-11-1-1-11111-1-1-1-1-111-1-11111-1-1-11-1-111-111-1-1-11111-1-1-1-111-1-1111-1
χ13111111-1-1111111111-111111-1-1-1-11-1-11-1-111-1-111111-1-111-1-111-1-1-1-11-1-111-1-1-1-1111-111-1-1-111-1-1-11111-1-111-1-1-1-111-11
χ14111111-1-1111111111-111111-1-1-1-11-1-11-1-111-1-111111-1-111-1-111-1-1-1-11-1-1-1-111-1-1111-111-1-1-11-11-1-111-1-111-1-11111-1-11-1
χ15111111-1-1111111111-111111-1-1-1-11-1-11-1-111-1-11111-11-1-1-11111-1-1-1-11-1-111-1-1-1-111-11-1-1111-1-1111-1-1-1-11111-1-1-1-1111-1
χ16111111-1-1111111111-111111-1-1-1-11-1-11-1-111-1-11111-11-1-1-11111-1-1-1-11-1-1-1-111-1-111-11-1-1111-11-111-1-111-1-1-1-11111-1-1-11
χ1722222222-2-22222222-2222-2-2-2-222-222-22222-2-2222200-20000-2-2-2-222-2220000-2-2-2-20000000000000000000000000000
χ1822222222-2-22222222-2222-2-2-2-222-222-2-2-2-2-222-2-2-2-200-20000-2-2-2-2222-2-2000022220000000000000000000000000000
χ19222222-2-2-2-222222222222-2-222-2-2-2-2-2-222-2-2-2-2-2-2-2-20020000-2-222-2-22220000-2-2220000000000000000000000000000
χ20222222-2-2-2-222222222222-2-222-2-2-2-2-2-2-2-2222222220020000-2-222-2-2-2-2-2000022-2-20000000000000000000000000000
χ2122222-12222-1-1222-1-12-1-1-1-1-1-1-1222-1-12222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-10000-1-1-1-122-1-1-1-12200-1-1-1-100000000000000
χ2222222-12222-1-1222-1-12-1-1-1-1-1-1-1222-1-12222222-1-1-1-1-2-221111-1-1-1-1-1-12-1-10000-1-1-1-1-2-21111-2-200111100000000000000
χ2322222-12222-1-1222-1-12-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-21111222-1-1-1-1-1-1-1-1-1-1-2110000111122-1-1-1-1-2-200111100000000000000
χ2422222-12222-1-1222-1-12-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-21111-2-221111-1-1-1-1-1-1-21100001111-2-211112200-1-1-1-100000000000000
χ2522222-122-2-2-1-1222-1-1-2-1-1-1111122-2-1-1-22222-2-2-1-1-1-100-2−i3i3−i3i31111-1-1-2-1-10000111100−i3i3−i3i30000−i3i3−i3i300000000000000
χ2622222-122-2-2-1-1222-1-1-2-1-1-1111122-2-1-1-22222-2-2-1-1-1-100-2i3−i3i3−i31111-1-1-2-1-10000111100i3−i3i3−i30000i3−i3i3−i300000000000000
χ2722222-122-2-2-1-1222-1-1-2-1-1-1111122-2-1-1-2-2-2-2-222111100-2−i3i3−i3i31111-1-12110000-1-1-1-100−i3i3−i3i30000i3−i3i3−i300000000000000
χ2822222-122-2-2-1-1222-1-1-2-1-1-1111122-2-1-1-2-2-2-2-222111100-2i3−i3i3−i31111-1-12110000-1-1-1-100i3−i3i3−i30000−i3i3−i3i300000000000000
χ2922222-1-2-222-1-1222-1-1-2-1-1-1-1-111-2-2211222-2-22211112-2-2-1-111-1-11111-2-1-10000-1-1112-2-1-1112-200-1-11100000000000000
χ3022222-1-2-222-1-1222-1-1-2-1-1-1-1-111-2-2211222-2-2221111-22-211-1-1-1-11111-2-1-10000-1-111-2211-1-1-220011-1-100000000000000
χ3122222-1-2-222-1-1222-1-1-2-1-1-1-1-111-2-22112-2-222-2-2-1-1-1-12-2-2-1-111-1-11111211000011-1-12-2-1-111-220011-1-100000000000000
χ3222222-1-2-222-1-1222-1-1-2-1-1-1-1-111-2-22112-2-222-2-2-1-1-1-1-22-211-1-1-1-11111211000011-1-1-2211-1-12-200-1-11100000000000000
χ3322222-1-2-2-2-2-1-1222-1-12-1-1-111-1-1-2-2-211-222-2-2-2-21111002−i3i3i3−i311-1-1112-1-1000011-1-100−i3i3i3−i30000−i3i3i3−i300000000000000
χ3422222-1-2-2-2-2-1-1222-1-12-1-1-111-1-1-2-2-211-222-2-2-2-21111002i3−i3−i3i311-1-1112-1-1000011-1-100i3−i3−i3i30000i3−i3−i3i300000000000000
χ3522222-1-2-2-2-2-1-1222-1-12-1-1-111-1-1-2-2-211-2-2-22222-1-1-1-1002−i3i3i3−i311-1-111-2110000-1-11100−i3i3i3−i30000i3−i3−i3i300000000000000
χ3622222-1-2-2-2-2-1-1222-1-12-1-1-111-1-1-2-2-211-2-2-22222-1-1-1-1002i3−i3−i3i311-1-111-2110000-1-11100i3−i3−i3i30000−i3i3i3−i300000000000000
χ372222-12222222-1-1-12-12-1-1-12222-1-1-122-1000000000022-12222-1-1-1-1-1-100022220000-1-1-1-1-1-100220000-1-1-1-1-1-1-1-1000000
χ382222-12222222-1-1-12-12-1-1-12222-1-1-122-1000000000022-12222-1-1-1-1-1-1000-2-2-2-20000-1-1-1-1-1-100-2-2000011111111000000
χ392222-12222222-1-1-12-12-1-1-12222-1-1-122-10000000000-2-2-1-2-2-2-2-1-1-1-1-1-10002222000011111100-2-200001111-1-1-1-1000000
χ402222-12222222-1-1-12-12-1-1-12222-1-1-122-10000000000-2-2-1-2-2-2-2-1-1-1-1-1-1000-2-2-2-2000011111100220000-1-1-1-11111000000
χ412222-12-2-22222-1-1-12-1-2-1-1-122-2-211-1-2-2-100000000002-2122-2-2-1-1111100022-2-20000-11-1-111002-20000-1-111-1-111000000
χ422222-12-2-22222-1-1-12-1-2-1-1-122-2-211-1-2-2-100000000002-2122-2-2-1-11111000-2-2220000-11-1-11100-22000011-1-111-1-1000000
χ432222-12-2-22222-1-1-12-1-2-1-1-122-2-211-1-2-2-10000000000-221-2-222-1-1111100022-2-200001-111-1-100-22000011-1-1-1-111000000
χ442222-12-2-22222-1-1-12-1-2-1-1-122-2-211-1-2-2-10000000000-221-2-222-1-11111000-2-22200001-111-1-1002-20000-1-11111-1-1000000
χ4522-2-2222-200-2-22-2-2220-2-2200002-202-202-22-20022-2-2000000000002-202-2−i2i2−i2i20000000000000000000000−i2i2−i2i2−i2i2−i2i200
χ4622-2-2222-200-2-22-2-2220-2-2200002-202-202-22-20022-2-2000000000002-202-2i2−i2i2−i20000000000000000000000i2−i2i2−i2i2−i2i2−i200
χ4722-2-2222-200-2-22-2-2220-2-2200002-202-20-22-2200-2-222000000000002-20-22−i2i2−i2i20000000000000000000000−i2i2−i2i2i2−i2i2−i200
χ4822-2-2222-200-2-22-2-2220-2-2200002-202-20-22-2200-2-222000000000002-20-22i2−i2i2−i20000000000000000000000i2−i2i2−i2−i2i2−i2i200
χ4922-2-222-2200-2-22-2-2220-2-220000-220-2202-2-2200-2-22200000000000-2202-2−i2i2i2−i20000000000000000000000−i2i2i2−i2−i2i2i2−i200
χ5022-2-222-2200-2-22-2-2220-2-220000-220-2202-2-2200-2-22200000000000-2202-2i2−i2−i2i20000000000000000000000i2−i2−i2i2i2−i2−i2i200
χ5122-2-222-2200-2-22-2-2220-2-220000-220-220-222-20022-2-200000000000-220-22−i2i2i2−i20000000000000000000000−i2i2i2−i2i2−i2−i2i200
χ5222-2-222-2200-2-22-2-2220-2-220000-220-220-222-20022-2-200000000000-220-22i2−i2−i2i20000000000000000000000i2−i2−i2i2−i2i2i2−i200
χ534444-2444-4-444-2-2-24-2-4-2-2-2-4-4-4-4-2-22442000000000000200002222-2-2000000000000000000000000000000000000000
χ544444-24-4-4-4-444-2-2-24-24-2-2-2-4-444222-4-42000000000000-2000022-2-222000000000000000000000000000000000000000
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
χ564444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000000-4-4-222221111110000000000022-1-1-1-10000000000000000000000
χ574444-2-244-4-4-2-2-2-2-2-21-41112222-2-22-2-220000000000002−2i32i3−2i32i3-1-1-1-1110000000000000i3−i3i3−i30000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-21-41112222-2-22-2-2200000000000022i3−2i32i3−2i3-1-1-1-1110000000000000−i3i3−i3i30000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-21-4111-2-22222-222-200000000004-42-2-22211-1-1-1-100000000000-2211-1-10000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-21-4111-2-22222-222-20000000000-44222-2-211-1-1-1-1000000000002-2-1-1110000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-2222222000000000000-2−2i32i32i3−2i3-1-111-1-10000000000000i3−i3−i3i30000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-2222222000000000000-22i3−2i3−2i32i3-1-111-1-10000000000000−i3i3i3−i30000000000000000000000
χ6344-4-44-24-400224-4-4-2-2022-200004-40-2204-44-400-2-22200000000000-220-22000000000000000000000000000000000000
χ6444-4-44-24-400224-4-4-2-2022-200004-40-220-44-440022-2-200000000000-2202-2000000000000000000000000000000000000
χ6544-4-44-2-4400224-4-4-2-2022-20000-4402-204-4-440022-2-2000000000002-20-22000000000000000000000000000000000000
χ6644-4-44-2-4400224-4-4-2-2022-20000-4402-20-444-400-2-222000000000002-202-2000000000000000000000000000000000000
χ6744-4-4-244-400-4-4-2224-2022-20000-2204-40000000000000000000000-22000−2i22i2−2i22i20000000000000000000000i2−i2i2−i2000000
χ6844-4-4-244-400-4-4-2224-2022-20000-2204-40000000000000000000000-220002i2−2i22i2−2i20000000000000000000000−i2i2−i2i2000000
χ6944-4-4-24-4400-4-4-2224-2022-200002-20-4400000000000000000000002-2000−2i22i22i2−2i20000000000000000000000i2−i2−i2i2000000
χ7044-4-4-24-4400-4-4-2224-2022-200002-20-4400000000000000000000002-20002i2−2i2−2i22i20000000000000000000000−i2i2i2−i2000000
χ714-44-44400004-4-44-4-4404-4-4000000000000004i−4i0000000000000000000000004i−4i000000000000000000000000000000
χ724-44-44400004-4-44-4-4404-4-400000000000000−4i4i000000000000000000000000−4i4i000000000000000000000000000000
χ734-44-44-20000-22-44-42-20-22200−2i32i300000000004i−4i23−2323−23000000000−2i32i3000000000−2i2i000000000000000000000000000000
χ744-44-44-20000-22-44-42-20-22200−2i32i30000000000−4i4i−2323−2323000000000−2i32i30000000002i−2i000000000000000000000000000000
χ754-44-44-20000-22-44-42-20-222002i3−2i300000000004i−4i−2323−23230000000002i3−2i3000000000−2i2i000000000000000000000000000000
χ764-44-44-20000-22-44-42-20-222002i3−2i30000000000−4i4i23−2323−230000000002i3−2i30000000002i−2i000000000000000000000000000000
χ774-4-4444004-4-44-4-44-440-44-44-40000400-4000000000000000004-40000000000000000000000000000000000000000000
χ784-4-444400-44-44-4-44-440-44-4-440000-400400000000000000000-440000000000000000000000000000000000000000000
χ794-4-444-2004-42-2-4-442-202-22-220000400-400000023−23−23230000000-22000000000000023−230000000000000000000000000000
χ804-4-444-2004-42-2-4-442-202-22-220000400-4000000−232323−230000000-220000000000000−23230000000000000000000000000000
χ814-4-444-200-442-2-4-442-202-222-20000-400400000023−23−232300000002-20000000000000−23230000000000000000000000000000
χ824-4-444-200-442-2-4-442-202-222-20000-4004000000−232323−2300000002-2000000000000023−230000000000000000000000000000
χ834-4-44-24004-4-4422-2-4-202-224-40000-200200000000000000000-220000000000000000000000000000000−2i32i30000000000
χ844-4-44-24004-4-4422-2-4-202-224-40000-200200000000000000000-2200000000000000000000000000000002i3−2i30000000000
χ854-4-44-2400-44-4422-2-4-202-22-440000200-2000000000000000002-20000000000000000000000000000023−23000000000000
χ864-4-44-2400-44-4422-2-4-202-22-440000200-2000000000000000002-200000000000000000000000000000−2323000000000000
χ8788-8-8-4-48-80044-444-420-2-220000-440-4400000000000000000000002-2000000000000000000000000000000000000000
χ8888-8-8-4-4-880044-444-420-2-2200004-404-40000000000000000000000-22000000000000000000000000000000000000000
χ898-88-8-4800008-84-44-8-40-444000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-40000-444-444202-2-200−4i34i300000000000000000000000002i3−2i300000000000000000000000000000000000000000
χ918-88-8-4-40000-444-444202-2-2004i3−4i30000000000000000000000000−2i32i300000000000000000000000000000000000000000
χ928-8-88-4-4008-84-444-4420-22-2-440000-4004000000000000000002-20000000000000000000000000000000000000000000
χ938-8-88-4-400-884-444-4420-22-24-40000400-400000000000000000-220000000000000000000000000000000000000000000

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