Finite Group Databasebeta

← Group #11895257

Character table — Group #11895257

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444666688888888812121212121212121212121212121212161616161616161618181818242424242424242424242436363636484872
order12223344446666663466612121212121212121212888844121212121212122288888824242424242424241212121212121212444444466121224242424444412122
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
χ311111111111111111111111111111111111-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-11
χ411111111111111111111111111111111111-1-11111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-111-1-1-1
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
χ71111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11111-1
χ81111111111111111111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1111
χ9111111-1-1111111111-1111-1-11-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-1-111-1-11-1-111-1-111-1-1111-11-1-1
χ10111111-1-1111111111-1111-1-11-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1111-11-1-111-1-111-1-1-111-11
χ11111111-1-1111111111-1111-1-11-1-1-1-11111111-11-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-11-111-1-1-1-11111-11-11-1
χ12111111-1-1111111111-1111-1-11-1-1-1-11111111-11-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-111-1-11111-1-1-1-11-1-111
χ13111111-1-1111111111-1111-1-11-1-1-1-1111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1-1-1-111-11-111-1-111-1-1-1-1-11-111
χ14111111-1-1111111111-1111-1-11-1-1-1-1111-1-1-1-11-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-111-1-111-1-111111-1-11-1
χ15111111-1-1111111111-1111-1-11-1-1-1-1111-1-1-1-1-11-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-11111-1-11-1-111-1-1-1-111-1-11-11-11
χ16111111-1-1111111111-1111-1-11-1-1-1-1111-1-1-1-1-11-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1111-11-1-11111-1-111-111-1-1
χ1722222222-2-22222222-222222-222-2-2-2-2-2000000-222-2-2-2-200000000000000000000000022220000000000000-2-2000
χ1822222222-2-22222222-222222-222-2-2-2-2-2000000-222-2-2-2-2000000000000000000000000-2-2-2-2000000000000022000
χ19222222-2-2-2-222222222222-2-2-2-2-222-2-2-20000002-2-222-2-200000000000000000000000022-2-20000000000000-22000
χ20222222-2-2-2-222222222222-2-2-2-2-222-2-2-20000002-2-222-2-2000000000000000000000000-2-22200000000000002-2000
χ2122222-122222-12-1-12-12-1-1-122-1-1-12222-1000022-1-1-1-1-1-1-122002222000000002-12-1-1-1-1-10000002-1-1-1-1-1-1-1-10000000
χ2222222-122222-12-1-12-12-1-1-122-1-1-12222-1000022-1-1-1-1-1-1-1-2-200-2-2-2-2000000002-12-1-1-1-1-1000000-2111111110000000
χ2322222-122222-12-1-12-12-1-1-122-1-1-12222-10000-2-2-1-1-1-1-1-1-12200-2-2-2-200000000-21-2111110000002-1-1-1-111110000000
χ2422222-122222-12-1-12-12-1-1-122-1-1-12222-10000-2-2-1-1-1-1-1-1-1-2-200222200000000-21-211111000000-21111-1-1-1-10000000
χ2522222-1-2-2222-12-1-12-1-2-1-1-1-2-2-111-2-222-100002-211111-1-1220022-2-2000000002-1-21-1-111000000-2-1-111-1-1110000000
χ2622222-1-2-2222-12-1-12-1-2-1-1-1-2-2-111-2-222-100002-211111-1-1-2-200-2-222000000002-1-21-1-111000000211-1-111-1-10000000
χ2722222-1-2-2222-12-1-12-1-2-1-1-1-2-2-111-2-222-10000-2211111-1-12200-2-22200000000-212-111-1-1000000-2-1-11111-1-10000000
χ2822222-1-2-2222-12-1-12-1-2-1-1-1-2-2-111-2-222-10000-2211111-1-1-2-20022-2-200000000-212-111-1-1000000211-1-1-1-1110000000
χ292222-122222-12-122-1-12-1-1-1-1-1222-1-1-1-122222222-1-1-1-1-1-100220000-1-1-1-1-1-1-1-1-12-12-1-1-1-10000220000000000000-1-10
χ302222-122222-12-122-1-12-1-1-1-1-1222-1-1-1-122222-2-22-1-1-1-1-1-100220000-1-1-1-1-1-1-1-11-21-211110000-2-20000000000000110
χ312222-122222-12-122-1-12-1-1-1-1-1222-1-1-1-12-2-2-2-2222-1-1-1-1-1-100-2-2000011111111-12-12-1-1-1-10000-2-20000000000000110
χ322222-122222-12-122-1-12-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-22-1-1-1-1-1-100-2-20000111111111-21-211110000220000000000000-1-10
χ332222-12-2-222-12-122-1-1-2-1-1-1112-2-211-1-1222222-2-21111-1-100-2-20000-1-1-1-11111-121-2-1-11100002-20000000000000-110
χ342222-12-2-222-12-122-1-1-2-1-1-1112-2-211-1-122222-22-21111-1-100-2-20000-1-1-1-111111-2-1211-1-10000-2200000000000001-10
χ352222-12-2-222-12-122-1-1-2-1-1-1112-2-211-1-12-2-2-2-22-2-21111-1-1002200001111-1-1-1-1-121-2-1-1110000-2200000000000001-10
χ362222-12-2-222-12-122-1-1-2-1-1-1112-2-211-1-12-2-2-2-2-22-21111-1-1002200001111-1-1-1-11-2-1211-1-100002-20000000000000-110
χ3722-2-22200-22-2-222-2-220-2-2200-200002-222i2i−2i−2i00000002-22-20000002i2i−2i−2i00000000000000000002-20000002i−2i00000
χ3822-2-22200-22-2-222-2-220-2-2200-200002-222i2i−2i−2i00000002-2-220000002i2i−2i−2i0000000000000000000-22000000−2i2i00000
χ3922-2-22200-22-2-222-2-220-2-2200-200002-22−2i−2i2i2i00000002-22-2000000−2i−2i2i2i00000000000000000002-2000000−2i2i00000
χ4022-2-22200-22-2-222-2-220-2-2200-200002-22−2i−2i2i2i00000002-2-22000000−2i−2i2i2i0000000000000000000-220000002i−2i00000
χ412-2-22222-2002-2-2-22-2202-2-22-202-2000002−22−20002-20000002−2−i2i2−i2i22−22−222−2−2000000002i−2i2i−2i0000000−i2i2−i2i20000000
χ422-2-22222-2002-2-2-22-2202-2-22-202-2000002−22−20002-20000002−2i2−i2i2−i22−22−222−2−200000000−2i2i−2i2i0000000i2−i2i2−i20000000
χ432-2-22222-2002-2-2-22-2202-2-22-202-200000−22−220002-2000000−22−i2i2−i2i2−22−22−2−22200000000−2i2i−2i2i0000000−i2i2−i2i20000000
χ442-2-22222-2002-2-2-22-2202-2-22-202-200000−22−220002-2000000−22i2−i2i2−i2−22−22−2−222000000002i−2i2i−2i0000000i2−i2i2−i20000000
χ452-2-2222-22002-2-2-22-2202-2-2-220-22000002−22−2000-22000000−22−i2i2i2−i22−22−2−2−222000000002i−2i−2i2i0000000−i2i2i2−i20000000
χ462-2-2222-22002-2-2-22-2202-2-2-220-22000002−22−2000-22000000−22i2−i2−i2i22−22−2−2−22200000000−2i2i2i−2i0000000i2−i2−i2i20000000
χ472-2-2222-22002-2-2-22-2202-2-2-220-2200000−22−22000-220000002−2−i2i2i2−i2−22−2222−2−200000000−2i2i2i−2i0000000−i2i2i2−i20000000
χ482-2-2222-22002-2-2-22-2202-2-2-220-2200000−22−22000-220000002−2i2−i2−i2i2−22−2222−2−2000000002i−2i−2i2i0000000i2−i2−i2i20000000
χ4944444-244-4-44-24-2-24-2-4-2-2-2442-2-2-4-4-4-420000002-2-222220000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-44-24-2-24-24-2-2-2-4-422244-4-42000000-222-2-2220000000000000000000000000000000000000000000000
χ514444-2444-4-4-24-244-2-2-4-2-2-2-2-2-4442222-4000000-4-2-222220000000000000000000000000000000000000000000000
χ524444-24-4-4-4-4-24-244-2-24-2-2-222-4-4-4-2-222-4000000422-2-2220000000000000000000000000000000000000000000000
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
χ554444-2-244-4-4-2-2-2-2-2-21-4111-2-22-2-222222000000211-1-1-1-1000000000000000000003-33-30000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-21-4111-2-22-2-222222000000211-1-1-1-100000000000000000000-33-330000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-21-411122-22222-2-2-200004-42-1-1-1-1110000000000000000-2-22211-1-10000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-21-411122-22222-2-2-20000-442-1-1-1-111000000000000000022-2-2-1-1110000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-2222000000-2-1-111-1-1000000000000000000003-3-330000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-2222000000-2-1-111-1-100000000000000000000-333-30000000000000000000000
χ6144-4-444004-4-4-444-4-440-4-440040000-44-400000000000-440000000000000000000000000000000000000000000000
χ6244-4-44-2004-4-424-22-4-2022-200-20000-442000000000002-200000000000000000000000000000000023−2300000000000
χ6344-4-44-2004-4-424-22-4-2022-200-20000-442000000000002-2000000000000000000000000000000000−232300000000000
χ6444-4-44-200-44-424-22-4-2022-200200004-4-200000000000-224-400000000000000000000000000000-220000000000000
χ6544-4-44-200-44-424-22-4-2022-200200004-4-200000000000-22-44000000000000000000000000000002-20000000000000
χ6644-4-4-24004-42-4-24-42-2022-200400002-2-4000000000002-200000000000023−2323−23000000000000000000000000000000
χ6744-4-4-24004-42-4-24-42-2022-200400002-2-4000000000002-2000000000000−2323−2323000000000000000000000000000000
χ6844-4-4-2400-442-4-24-42-2022-200-40000-2244i4i−4i−4i0000000-2200000000−2i−2i2i2i0000000000000000000000000000000000
χ6944-4-4-2400-442-4-24-42-2022-200-40000-224−4i−4i4i4i0000000-22000000002i2i−2i−2i0000000000000000000000000000000000
χ704-44-4440000-44-4-4-4440-44-40000000000−2i22i22i2−2i200000000000000000−2i22i22i2−2i20000000000000000000000000000000000
χ714-44-4440000-44-4-4-4440-44-400000000002i2−2i2−2i22i2000000000000000002i2−2i2−2i22i20000000000000000000000000000000000
χ724-44-4-240000242-4-4-2-202-2200000−2i32i3000−2i22i22i2−2i200000−2i32i30000000000i2−i2−i2i26−6−66000000000000000000000000000000
χ734-44-4-240000242-4-4-2-202-2200000−2i32i30002i2−2i2−2i22i200000−2i32i30000000000−i2i2i2−i2−666−6000000000000000000000000000000
χ744-44-4-240000242-4-4-2-202-22000002i3−2i3000−2i22i22i2−2i2000002i3−2i30000000000i2−i2−i2i2−666−6000000000000000000000000000000
χ754-44-4-240000242-4-4-2-202-22000002i3−2i30002i2−2i2−2i22i2000002i3−2i30000000000−i2i2i2−i26−6−66000000000000000000000000000000
χ764-4-444-24-40042-42-2-4-20-2224-40-22000000000000-2200000000−2i22i2−2i22i2000000000000000000000000000i2−i2i2−i20000000
χ774-4-444-24-40042-42-2-4-20-2224-40-22000000000000-22000000002i2−2i22i2−2i2000000000000000000000000000−i2i2−i2i20000000
χ784-4-444-2-440042-42-2-4-20-222-4402-20000000000002-200000000−2i22i22i2−2i2000000000000000000000000000i2−i2−i2i20000000
χ794-4-444-2-440042-42-2-4-20-222-4402-20000000000002-2000000002i2−2i2−2i22i2000000000000000000000000000−i2i2i2−i20000000
χ804-4-44-244-400-2-42-442-20-222-2204-40000022−2222−22000-2200000022−220000−22−22−2−222000000000000000000000000000000
χ814-4-44-244-400-2-42-442-20-222-2204-400000−2222−2222000-22000000−222200002−22−222−2−2000000000000000000000000000000
χ824-4-44-24-4400-2-42-442-20-2222-20-440000022−2222−220002-2000000−22220000−22−2222−2−2000000000000000000000000000000
χ834-4-44-24-4400-2-42-442-20-2222-20-4400000−2222−22220002-200000022−2200002−22−2−2−222000000000000000000000000000000
χ8488-8-8-4-4008-844-4-44420-2-2200-400004-4400000000000-220000000000000000000000000000000000000000000000
χ8588-8-8-4-400-8844-4-44420-2-220040000-44-4000000000002-20000000000000000000000000000000000000000000000
χ868-88-88-40000-8-4-8448-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-400004-4444-420-22-200000−4i34i30000000000002i3−2i3000000000000000000000000000000000000000000000000
χ888-88-8-4-400004-4444-420-22-2000004i3−4i3000000000000−2i32i3000000000000000000000000000000000000000000000000
χ898-8-88-4-48-800-4444-44202-2-2-440-440000000000002-200000000000000000000000000000000000000000000000000
χ908-8-88-4-4-8800-4444-44202-2-24-404-4000000000000-2200000000000000000000000000000000000000000000000000

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