Finite Group Databasebeta

← Group #11887222

Character table — Group #11887222

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444666688888888812121212121212121212121212121212161616161616161618181818242424242424242424242436363636484872
order12223344446666662366666121212121212121288884466612121212228888882424242424242424121212121212121222442446612122424242444446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-11111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111111111111-1-1111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-111-1-1-11
χ411111111111111111111111111111111111-1-11111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-11-1-1-1
χ51111111111111111111111111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111111111-1-1-1-1-1-1-1
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
χ71111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1111-1
χ81111111111111111111111111111111-1-1-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-111-1111
χ9111111-1-111111111-11-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1111-1-111-1-1-1111-11-1
χ10111111-1-111111111-11-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-111-1-111-1-1111-1-1-1-111
χ11111111-1-111111111-11-1-11111-1-1-1-11111111-11-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11-1-111-1-1-1-111111-11-1-1
χ12111111-1-111111111-11-1-11111-1-1-1-11111111-11-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-11111-1-1-1-1-111-11
χ13111111-1-111111111-11-1-11111-1-1-1-1111-1-1-1-11-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-11111-1-11-1-111-1-111-1-11-1-1-11-11
χ14111111-1-111111111-11-1-11111-1-1-1-1111-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-1-111-1-111-11111-1-1
χ15111111-1-111111111-11-1-11111-1-1-1-1111-1-1-1-1-11-1-1-111-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1111-1-1-1-111-1-1-11-111
χ16111111-1-111111111-11-1-11111-1-1-1-1111-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-1-111-1-11111-1-1111-1-11-1
χ1722222222-2-2222222-22-2-2222-22222-2-2-2000000-2-2-2-2-222000000000000000000000000222200000000000-200-2000
χ1822222222-2-2222222-22-2-2222-22222-2-2-2000000-2-2-2-2-222000000000000000000000000-2-2-2-2000000000002002000
χ19222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2000000222-2-2-2-200000000000000000000000022-2-200000000000-2002000
χ20222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2000000222-2-2-2-2000000000000000000000000-2-22200000000000200-2000
χ2122222-1222222-1-1-122-1-1-1-1-1-1-1-1-12222-12222222-1-1-1-1-1-100002200-1-1-1-1-1-1-1-12-1-12-1-1-1-10000202000000000000-1-10
χ2222222-1222222-1-1-122-1-1-1-1-1-1-1-1-12222-12222-2-22-1-1-1-1-1-100002200-1-1-1-1-1-1-1-1-211-211110000-20-2000000000000110
χ2322222-1222222-1-1-122-1-1-1-1-1-1-1-1-12222-1-2-2-2-2222-1-1-1-1-1-10000-2-200111111112-1-12-1-1-1-10000-20-2000000000000110
χ2422222-1222222-1-1-122-1-1-1-1-1-1-1-1-12222-1-2-2-2-2-2-22-1-1-1-1-1-10000-2-20011111111-211-211110000202000000000000-1-10
χ2522222-1-2-22222-1-1-12-2-111-1-1-1-111-2-222-122222-2-211-1-1110000-2-200-1-1-1-11111-21-1211-1-10000-2020000000000001-10
χ2622222-1-2-22222-1-1-12-2-111-1-1-1-111-2-222-12222-22-211-1-1110000-2-200-1-1-1-111112-11-2-1-111000020-2000000000000-110
χ2722222-1-2-22222-1-1-12-2-111-1-1-1-111-2-222-1-2-2-2-22-2-211-1-111000022001111-1-1-1-1-21-1211-1-1000020-2000000000000-110
χ2822222-1-2-22222-1-1-12-2-111-1-1-1-111-2-222-1-2-2-2-2-22-211-1-111000022001111-1-1-1-12-11-2-1-1110000-2020000000000001-10
χ292222-122222-1-1222-12-122-1-1-1222-1-1-1-12000022-1-1-1-1-1-1-12222002200000000-122-1-1-1-1-10000020-1-1-1-1-1-1-1-10000000
χ302222-122222-1-1222-12-122-1-1-1222-1-1-1-12000022-1-1-1-1-1-1-1-2-2-2-200-2-200000000-122-1-1-1-1-100000-20111111110000000
χ312222-122222-1-1222-12-122-1-1-1222-1-1-1-120000-2-2-1-1-1-1-1-1-122-2-200-2-2000000001-2-2111110000020-1-1-1-111110000000
χ322222-122222-1-1222-12-122-1-1-1222-1-1-1-120000-2-2-1-1-1-1-1-1-1-2-2220022000000001-2-21111100000-201111-1-1-1-10000000
χ332222-12-2-222-1-1222-1-2-1-2-2-1-1-12-2-211-1-1200002-2111-1-111222200-2-2000000001-22-111-1-100000-20-1-111-1-1110000000
χ342222-12-2-222-1-1222-1-2-1-2-2-1-1-12-2-211-1-1200002-2111-1-111-2-2-2-20022000000001-22-111-1-1000002011-1-111-1-10000000
χ352222-12-2-222-1-1222-1-2-1-2-2-1-1-12-2-211-1-120000-22111-1-11122-2-2002200000000-12-21-1-11100000-20-1-11111-1-10000000
χ362222-12-2-222-1-1222-1-2-1-2-2-1-1-12-2-211-1-120000-22111-1-111-2-22200-2-200000000-12-21-1-111000002011-1-1-1-1110000000
χ3722-2-222002-2-2-2-22-220200-2-22200002-2-22i2i−2i−2i000002-2002-20000002i2i−2i−2i00000000000000000002-200000002i−2i0000
χ3822-2-222002-2-2-2-22-220200-2-22200002-2-22i2i−2i−2i000002-200-220000002i2i−2i−2i0000000000000000000-220000000−2i2i0000
χ3922-2-222002-2-2-2-22-220200-2-22200002-2-2−2i−2i2i2i000002-2002-2000000−2i−2i2i2i00000000000000000002-20000000−2i2i0000
χ4022-2-222002-2-2-2-22-220200-2-22200002-2-2−2i−2i2i2i000002-200-22000000−2i−2i2i2i0000000000000000000-2200000002i−2i0000
χ412-22-2222i−2i00-222-2-2-20200-22-202i−2i2i−2i0002−22−200000002i−2i00−i2i2−i2i22−22−22−2−i2−i2i2i2000000002-22i−2i0000000−i2i22−20000000
χ422-22-2222i−2i00-222-2-2-20200-22-202i−2i2i−2i0002−22−200000002i−2i00i2−i2−i2i2−222−22−2−i2−i2i2i200000000-22−2i2i0000000i2−i2−220000000
χ432-22-2222i−2i00-222-2-2-20200-22-202i−2i2i−2i000−22−2200000002i−2i00−i2i2i2−i22−2−22−22i2i2−i2−i200000000-22−2i2i0000000−i2i22−20000000
χ442-22-2222i−2i00-222-2-2-20200-22-202i−2i2i−2i000−22−2200000002i−2i00i2−i2i2−i2−22−22−22i2i2−i2−i2000000002-22i−2i0000000i2−i2−220000000
χ452-22-222−2i2i00-222-2-2-20200-22-20−2i2i−2i2i0002−22−20000000−2i2i00−i2i2i2−i2−222−22−2i2i2−i2−i200000000-222i−2i0000000−i2i2−220000000
χ462-22-222−2i2i00-222-2-2-20200-22-20−2i2i−2i2i0002−22−20000000−2i2i00i2−i2i2−i22−22−22−2i2i2−i2−i2000000002-2−2i2i0000000i2−i22−20000000
χ472-22-222−2i2i00-222-2-2-20200-22-20−2i2i−2i2i000−22−220000000−2i2i00−i2i2−i2i2−22−22−22−i2−i2i2i2000000002-2−2i2i0000000−i2i2−220000000
χ482-22-222−2i2i00-222-2-2-20200-22-20−2i2i−2i2i000−22−220000000−2i2i00i2−i2−i2i22−2−22−22−i2−i2i2i200000000-222i−2i0000000i2−i22−20000000
χ4944444-244-4-444-2-2-24-4-222-2-2-22-2-244-4-42000000-42222-2-20000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-444-2-2-244-2-2-2-2-2-2222-4-4-4-420000004-2-222220000000000000000000000000000000000000000000000
χ514444-2444-4-4-2-2444-2-4-2-4-4-2-2-2-444-2-222-400000022222-2-20000000000000000000000000000000000000000000000
χ524444-24-4-4-4-4-2-2444-24-244-2-2-2-4-4-42222-4000000-2-2-222220000000000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-2000044-21111110000000000000000-2-2-2-211110000000000000000000000
χ544444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-20000-4-4-211111100000000000000002222-1-1-1-10000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-2-41221112-2-2-2-22220000002-1-1-1-111000000000000000000003-33-30000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-2-41221112-2-2-2-22220000002-1-1-1-11100000000000000000000-33-330000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-2-4122111-22222-2-2-200004-42-1-111-1-1000000000000000022-2-2-1-1110000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-2-4122111-22222-2-2-20000-442-1-111-1-10000000000000000-2-22211-1-10000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-241-2-211122222222000000-211-1-1-1-1000000000000000000003-3-330000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-241-2-211122222222000000-211-1-1-1-100000000000000000000-333-30000000000000000000000
χ6144-4-44400-44-4-4-44-440400-4-44-40000-444000000000-44000000000000000000000000000000000000000000000000
χ6244-4-44-2004-4-4-42-2240-20022-2-200004-424i4i−4i−4i00000-220000000000−2i−2i2i2i0000000000000000000000000000000000
χ6344-4-44-2004-4-4-42-2240-20022-2-200004-42−4i−4i4i4i00000-2200000000002i2i−2i−2i0000000000000000000000000000000000
χ6444-4-44-200-44-4-42-2240-20022-220000-44-20000000002-200000000000000−2i32i3−2i32i3000000000000000000000000000000
χ6544-4-44-200-44-4-42-2240-20022-220000-44-20000000002-2000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ6644-4-4-24004-422-44-4-20-20022-240000-22-4000000000-22004-400000000000000000000000000000-220000000000000
χ6744-4-4-24004-422-44-4-20-20022-240000-22-4000000000-2200-44000000000000000000000000000002-20000000000000
χ6844-4-4-2400-4422-44-4-20-20022-2-400002-240000000002-200000000000000000000000000000000000−2i32i300000000000
χ6944-4-4-2400-4422-44-4-20-20022-2-400002-240000000002-2000000000000000000000000000000000002i3−2i300000000000
χ704-44-44-24i−4i00-44-222-40-2002-220−2i2i4i−4i00022−2222−220000000−2i2i0000−2i22i200−22−22i2i2−i2−i2000000000000000000000000000000
χ714-44-44-24i−4i00-44-222-40-2002-220−2i2i4i−4i000−2222−22220000000−2i2i00002i2−2i2002−22−2−i2−i2i2i2000000000000000000000000000000
χ724-44-44-2−4i4i00-44-222-40-2002-2202i−2i−4i4i00022−2222−2200000002i−2i00002i2−2i200−22−22−i2−i2i2i2000000000000000000000000000000
χ734-44-44-2−4i4i00-44-222-40-2002-2202i−2i−4i4i000−2222−222200000002i−2i0000−2i22i2002−22−2i2i2−i2−i2000000000000000000000000000000
χ744-44-4-244i−4i002-24-4-420-2002-2204i−4i−2i2i00000000000000−2i2i00−2i22i20022−22000000000000000000000000000i2−i2−220000000
χ754-44-4-244i−4i002-24-4-420-2002-2204i−4i−2i2i00000000000000−2i2i002i2−2i200−2222000000000000000000000000000−i2i22−20000000
χ764-44-4-24−4i4i002-24-4-420-2002-220−4i4i2i−2i000000000000002i−2i00−2i22i200−2222000000000000000000000000000i2−i22−20000000
χ774-44-4-24−4i4i002-24-4-420-2002-220−4i4i2i−2i000000000000002i−2i002i2−2i20022−22000000000000000000000000000−i2i2−220000000
χ784-4-444400004-4-4-44-404004-4-400000000−2i22i22i2−2i200000000000000000−2i22i22i2−2i20000000000000000000000000000000000
χ794-4-444400004-4-4-44-404004-4-4000000002i2−2i2−2i22i2000000000000000002i2−2i2−2i22i20000000000000000000000000000000000
χ804-4-444-200004-422-2-40-2−2i32i3-22200000000−2i22i22i2−2i2000−2i32i3000000000000i2−i2−i2i26−6−66000000000000000000000000000000
χ814-4-444-200004-422-2-40-2−2i32i3-222000000002i2−2i2−2i22i2000−2i32i3000000000000−i2i2i2−i2−666−6000000000000000000000000000000
χ824-4-444-200004-422-2-40-22i3−2i3-22200000000−2i22i22i2−2i20002i3−2i3000000000000i2−i2−i2i2−666−6000000000000000000000000000000
χ834-4-444-200004-422-2-40-22i3−2i3-222000000002i2−2i2−2i22i20002i3−2i3000000000000−i2i2i2−i26−6−66000000000000000000000000000000
χ8488-8-8-4-4008-8444-44-40200-2-22-40000-4440000000002-2000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-88444-44-40200-2-22400004-4-4000000000-22000000000000000000000000000000000000000000000000
χ868-88-8-4-48i−8i004-4-44440200-22-20−4i4i−4i4i000000000000002i−2i0000000000000000000000000000000000000000000000
χ878-88-8-4-4−8i8i004-4-44440200-22-204i−4i4i−4i00000000000000−2i2i0000000000000000000000000000000000000000000000
χ888-8-88-480000-44-8-8840-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-40000-4444-4402−4i34i32-2-20000000000000002i3−2i300000000000000000000000000000000000000000000000000
χ908-8-88-4-40000-4444-44024i3−4i32-2-2000000000000000−2i32i300000000000000000000000000000000000000000000000000

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