Finite Group Databasebeta

← Group #11895676

Character table — Group #11895676

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444666688888888812121212121212121212121212121212161616161616161618181818242424242424242424242436363636484872
order12223344446666663466612121212121212121212888844121212121212124488888824242424242424241212121212121212444422412121212242424244444664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111111111111-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-11
χ411111111111111111111111111111111111-1-11111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1
χ51111111111111111111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ71111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-111-1
χ81111111111111111111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111111
χ9111111-1-1111111111-1111-1-1-1-1-1-1111111111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-11-1-111-1-111-1-11-1111-1-1
χ10111111-1-1111111111-1111-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1111-11-1-111-1-111-11-1-11-11
χ11111111-1-1111111111-1111-1-1-1-1-1-111111111-11-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-11-111-1-1-1-111-1111-11-1
χ12111111-1-1111111111-1111-1-1-1-1-1-111111111-11-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-111-1-11111-1-11-1-1-1-111
χ13111111-1-1111111111-1111-1-1-1-1-1-11111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-1-111-11-111-1-111-1-1-11-1-1-111
χ14111111-1-1111111111-1111-1-1-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-111-1-111-1-1111-111-11-1
χ15111111-1-1111111111-1111-1-1-1-1-1-11111-1-1-1-1-11-111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-11111-1-11-1-111-1-1-1-1111-1-1-11-11
χ16111111-1-1111111111-1111-1-1-1-1-1-11111-1-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1111-11-1-11111-1-1-11111-1-1
χ1722222222-2-22222222-2222-2-22222-2-2-2-2000000-2-2-2-2-222000000000000000000000000222200000000000-2-200000
χ1822222222-2-22222222-2222-2-22222-2-2-2-2000000-2-2-2-2-222000000000000000000000000-2-2-2-2000000000002200000
χ19222222-2-2-2-22222222222222-2-2-2-2-2-2-2-20000002-2-222-2-200000000000000000000000022-2-200000000000-2200000
χ20222222-2-2-2-22222222222222-2-2-2-2-2-2-2-20000002-2-222-2-2000000000000000000000000-2-222000000000002-200000
χ2122222-12222-1-12-122-12-1-1-1-1-122-1-12-1-122222222-1-1-1-1-1-100220000-1-1-1-1-1-1-1-12-12-1-1-1-1-10000220000000000000-1-10
χ2222222-12222-1-12-122-12-1-1-1-1-122-1-12-1-122222-2-22-1-1-1-1-1-100220000-1-1-1-1-1-1-1-1-21-2111110000-2-20000000000000110
χ2322222-12222-1-12-122-12-1-1-1-1-122-1-12-1-12-2-2-2-2222-1-1-1-1-1-100-2-20000111111112-12-1-1-1-1-10000-2-20000000000000110
χ2422222-12222-1-12-122-12-1-1-1-1-122-1-12-1-12-2-2-2-2-2-22-1-1-1-1-1-100-2-2000011111111-21-2111110000220000000000000-1-10
χ2522222-1-2-222-1-12-122-1-2-1-1-111-2-2112-1-1222222-2-2-1-1111100-2-20000-1-1-1-111112-1-21-1-11100002-20000000000000-110
χ2622222-1-2-222-1-12-122-1-2-1-1-111-2-2112-1-122222-22-2-1-1111100-2-20000-1-1-1-11111-212-111-1-10000-2200000000000001-10
χ2722222-1-2-222-1-12-122-1-2-1-1-111-2-2112-1-12-2-2-2-22-2-2-1-11111002200001111-1-1-1-12-1-21-1-1110000-2200000000000001-10
χ2822222-1-2-222-1-12-122-1-2-1-1-111-2-2112-1-12-2-2-2-2-22-2-1-11111002200001111-1-1-1-1-212-111-1-100002-20000000000000-110
χ292222-12222222-12-1-1-12-1-1-122-1-122-122-1000022-1-1-1-1-1-1-12200222200000000-12-12-1-1-1-10000002-1-1-1-1-1-1-1-10000000
χ302222-12222222-12-1-1-12-1-1-122-1-122-122-1000022-1-1-1-1-1-1-1-2-200-2-2-2-200000000-12-12-1-1-1-1000000-2111111110000000
χ312222-12222222-12-1-1-12-1-1-122-1-122-122-10000-2-2-1-1-1-1-1-1-12200-2-2-2-2000000001-21-211110000002-1-1-1-111110000000
χ322222-12222222-12-1-1-12-1-1-122-1-122-122-10000-2-2-1-1-1-1-1-1-1-2-2002222000000001-21-21111000000-21111-1-1-1-10000000
χ332222-12-2-22222-12-1-1-1-2-1-1-1-2-211-2-2-122-100002-21-1-11111220022-2-200000000-121-2-1-111000000-2-1-111-1-1110000000
χ342222-12-2-22222-12-1-1-1-2-1-1-1-2-211-2-2-122-100002-21-1-11111-2-200-2-22200000000-121-2-1-111000000211-1-111-1-10000000
χ352222-12-2-22222-12-1-1-1-2-1-1-1-2-211-2-2-122-10000-221-1-111112200-2-222000000001-2-1211-1-1000000-2-1-11111-1-10000000
χ362222-12-2-22222-12-1-1-1-2-1-1-1-2-211-2-2-122-10000-221-1-11111-2-20022-2-2000000001-2-1211-1-1000000211-1-1-1-1110000000
χ3722-2-2222-200-2-222-2-220-2-22002-22-2000022−2−200000002-2002−2−i2i2−i2i222−2−222−2−2000000002i−2i2i−2i0000000−i2i2−i2i20000000
χ3822-2-2222-200-2-222-2-220-2-22002-22-2000022−2−200000002-2002−2i2−i2i2−i222−2−222−2−200000000−2i2i−2i2i0000000i2−i2i2−i20000000
χ3922-2-2222-200-2-222-2-220-2-22002-22-20000−2−22200000002-200−22−i2i2−i2i2−2−222−2−22200000000−2i2i−2i2i0000000−i2i2−i2i20000000
χ4022-2-2222-200-2-222-2-220-2-22002-22-20000−2−22200000002-200−22i2−i2i2−i2−2−222−2−222000000002i−2i2i−2i0000000i2−i2i2−i20000000
χ4122-2-222-2200-2-222-2-220-2-2200-22-22000022−2−20000000-2200−22−i2i2i2−i222−2−2−2−222000000002i−2i−2i2i0000000−i2i2i2−i20000000
χ4222-2-222-2200-2-222-2-220-2-2200-22-22000022−2−20000000-2200−22i2−i2−i2i222−2−2−2−22200000000−2i2i2i−2i0000000i2−i2−i2i20000000
χ4322-2-222-2200-2-222-2-220-2-2200-22-220000−2−2220000000-22002−2−i2i2i2−i2−2−22222−2−200000000−2i2i2i−2i0000000−i2i2i2−i20000000
χ4422-2-222-2200-2-222-2-220-2-2200-22-220000−2−2220000000-22002−2i2−i2−i2i2−2−22222−2−2000000002i−2i−2i2i0000000i2−i2−i2i20000000
χ452-22-22200-222-2-2-22-2202-2-2000000-22-222i−2i2i−2i0002-200002i−2i0000002i−2i2i−2i00000000000000000002i−2i000000002-2000
χ462-22-22200-222-2-2-22-2202-2-2000000-22-222i−2i2i−2i0002-20000−2i2i0000002i−2i2i−2i0000000000000000000−2i2i00000000-22000
χ472-22-22200-222-2-2-22-2202-2-2000000-22-22−2i2i−2i2i0002-200002i−2i000000−2i2i−2i2i00000000000000000002i−2i00000000-22000
χ482-22-22200-222-2-2-22-2202-2-2000000-22-22−2i2i−2i2i0002-20000−2i2i000000−2i2i−2i2i0000000000000000000−2i2i000000002-2000
χ4944444-244-4-4-2-24-244-2-4-2-2-22244-2-2-422-4000000-42222-2-20000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-4-2-24-244-24-2-2-2-2-2-4-422-422-4000000422-2-2220000000000000000000000000000000000000000000000
χ514444-2444-4-444-24-2-2-2-4-2-2-2-4-4-2-2442-4-4200000022222-2-20000000000000000000000000000000000000000000000
χ524444-24-4-4-4-444-24-2-2-24-2-2-24422-4-42-4-42000000-222-2-2220000000000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000044-21111110000000000000000-2-2-2-211110000000000000000000000
χ544444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000-4-4-211111100000000000000002222-1-1-1-10000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-21-411122-2-2-2-222220000002-1-1-1-111000000000000000000003-33-30000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-21-411122-2-2-2-222220000002-1-1-1-11100000000000000000000-33-330000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-21-4111222222-2-2-2-200004-4211-1-1-1-10000000000000000-2-22211-1-10000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-21-4111222222-2-2-2-20000-44211-1-1-1-1000000000000000022-2-2-1-1110000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-214111-2-222222222000000-2-1-111-1-1000000000000000000003-3-330000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-214111-2-222222222000000-2-1-111-1-100000000000000000000-333-30000000000000000000000
χ6144-4-44-24-400224-2-4-4-2022-2004-4-2200002222−22−220000000-220022−220000−2−222−2−222000000000000000000000000000000
χ6244-4-44-24-400224-2-4-4-2022-2004-4-220000−22−2222220000000-2200−2222000022−2−222−2−2000000000000000000000000000000
χ6344-4-44-2-4400224-2-4-4-2022-200-442-200002222−22−2200000002-200−22220000−2−22222−2−2000000000000000000000000000000
χ6444-4-44-2-4400224-2-4-4-2022-200-442-20000−22−22222200000002-20022−22000022−2−2−2−222000000000000000000000000000000
χ6544-4-4-244-400-4-4-2422-2022-200-224-4000000000000000-220000−2i22i2−2i22i2000000000000000000000000000i2−i2i2−i20000000
χ6644-4-4-244-400-4-4-2422-2022-200-224-4000000000000000-2200002i2−2i22i2−2i2000000000000000000000000000−i2i2−i2i20000000
χ6744-4-4-24-4400-4-4-2422-2022-2002-2-440000000000000002-20000−2i22i22i2−2i2000000000000000000000000000i2−i2−i2i20000000
χ6844-4-4-24-4400-4-4-2422-2022-2002-2-440000000000000002-200002i2−2i2−2i22i2000000000000000000000000000−i2i2i2−i20000000
χ694-44-444004-44-4-4-44-4404-4-40000004-44-40000000-4400000000000000000000000000000000000000000000000000
χ704-44-44-2004-4-22-424-4-20-22200000042-2-400000002-2000000000000000023−2323−23000000000000000000000000000000
χ714-44-44-2004-4-22-424-4-20-22200000042-2-400000002-20000000000000000−2323−2323000000000000000000000000000000
χ724-44-44-200-44-22-424-4-20-222000000-4-2244i−4i4i−4i000-22000000000000−2i2i−2i2i0000000000000000000000000000000000
χ734-44-44-200-44-22-424-4-20-222000000-4-224−4i4i−4i4i000-220000000000002i−2i2i−2i0000000000000000000000000000000000
χ744-44-4-24004-44-42-4-22-20-222000000-2-44200000002-20000000000000000000000000000000000000−2i32i300000000000
χ754-44-4-24004-44-42-4-22-20-222000000-2-44200000002-200000000000000000000000000000000000002i3−2i300000000000
χ764-44-4-2400-444-42-4-22-20-22200000024-4-20000000-2200004i−4i00000000000000000000000000000−2i2i0000000000000
χ774-44-4-2400-444-42-4-22-20-22200000024-4-20000000-220000−4i4i000000000000000000000000000002i−2i0000000000000
χ784-4-44440000-44-4-4-4440-44-40000000000−2i22i22i2−2i200000000000000000−2i22i22i2−2i20000000000000000000000000000000000
χ794-4-44440000-44-4-4-4440-44-400000000002i2−2i2−2i22i2000000000000000002i2−2i2−2i22i20000000000000000000000000000000000
χ804-4-444-200002-2-42-44-202-22−2i32i300000000−2i22i22i2−2i200000−2i32i30000000000i2−i2−i2i26−6−66000000000000000000000000000000
χ814-4-444-200002-2-42-44-202-22−2i32i3000000002i2−2i2−2i22i200000−2i32i30000000000−i2i2i2−i2−666−6000000000000000000000000000000
χ824-4-444-200002-2-42-44-202-222i3−2i300000000−2i22i22i2−2i2000002i3−2i30000000000i2−i2−i2i2−666−6000000000000000000000000000000
χ834-4-444-200002-2-42-44-202-222i3−2i3000000002i2−2i2−2i22i2000002i3−2i30000000000−i2i2i2−i26−6−66000000000000000000000000000000
χ8488-8-8-4-48-80044-4-44420-2-2200-44-440000000000000002-20000000000000000000000000000000000000000000000
χ8588-8-8-4-4-880044-4-44420-2-22004-44-4000000000000000-220000000000000000000000000000000000000000000000
χ868-88-8-4-4008-8-4444-44202-2-2000000-44-440000000-2200000000000000000000000000000000000000000000000000
χ878-88-8-4-400-88-4444-44202-2-20000004-44-400000002-200000000000000000000000000000000000000000000000000
χ888-8-88-480000-884-84-4-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400004-4444-420-22-2−4i34i3000000000000000002i3−2i3000000000000000000000000000000000000000000000000
χ908-8-88-4-400004-4444-420-22-24i3−4i300000000000000000−2i32i3000000000000000000000000000000000000000000000000

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