Finite Group Databasebeta

← Group #11884493

Character table — Group #11884493

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order122233446666663666881212121224661212121224242424242424242224444466121266612121244246688121212122424242428861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11-1-111-1-1111111-1-11-1111-11-1-1-111-1-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-1-111-111-1-111111111-1-1-11-1-1-11-1111-1-111-1-1-1-11-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ5111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-111-1-1-1-1-1-1-1-11-111-11-11-1-1-1-111-1-1-11-111
χ6111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-11-1-11-11-11111-1-1-1-1-1-1111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111111-1-11111111-1-1-111-1111-1-111-1-1-1-1-1-11-1-1-11-11
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111-1-111111-1-1111-1-1-1-1-1-1-111-111-111-1-111-111-1-11-1
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-1-111-1-11-1-11-1-111-1-1-111111-1
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1111-1-1-111-1-11111111-1-11-1-11
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-111-111-1-111-1-1-1111-1-1-1-1111-1-111111-1-1-111-1-1-11
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-111111-1-1-1-111111-1-1-111-1
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1111111-1-1-1-1-11111-1-1-1-11-1-11-11-1
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1111-1-111-1-1-111-1-1-1-1-111-11111-11
χ17222222-2-2222222222200-2-2-2-2000000-2-2000000000022-2-2002222000000-2-2000000-2-20000002000000
χ18222222-2-2222222222200-2-2-2-2000000-2-200000000002-22-20022-2-200000022000000-22000000-2000000
χ19222222-2-2222222222200-2-2-2-2000000-2-20000000000-22-2200-2-222000000220000002-2000000-2000000
χ20222222-2-2222222222200-2-2-2-2000000-2-20000000000-2-22200-2-2-2-2000000-2-2000000220000002000000
χ2122222-122-1-12-122-1-1-1-1222-1-1222-1-122-1-1-1-122-1-1-1-122200200-1-1002-1-1-1-1-10020-1-120-1000-1-100000-1000
χ2222222-122-1-12-122-1-1-1-1222-1-1222-1-122-1-1-1-122-1-1-1-1-2-2-200-20011002-1-1-1-1-100-2011-20100011000001000
χ2322222-122-1-12-122-1-1-1-1222-1-12-2-211-2-2-1-1-1-122-1-1-1-122-200-2001100-2111110020-1-1-2010001100000-1000
χ2422222-122-1-12-122-1-1-1-1222-1-12-2-211-2-2-1-1-1-122-1-1-1-1-2-2200200-1-100-21111100-201120-1000-1-1000001000
χ2522222-122-1-12-122-1-1-1-1-2-22-1-122-2-1-1-2-2-1-111-2-2111122200200-1-1002-1-111100-20-1-1-20-100011000001000
χ2622222-122-1-12-122-1-1-1-1-2-22-1-122-2-1-1-2-2-1-111-2-21111-2-2-200-20011002-1-1111002011201000-1-100000-1000
χ2722222-122-1-12-122-1-1-1-1-2-22-1-12-221122-1-111-2-2111122-200-2001100-211-1-1-100-20-1-1201000-1-1000001000
χ2822222-122-1-12-122-1-1-1-1-2-22-1-12-221122-1-111-2-21111-2-2200200-1-100-211-1-1-1002011-20-10001100000-1000
χ292222-122222-12-1-1-1-1-1-122-122-12222-1-1-1-122-1-1-1-1-1-10002202200-1-1-1-1-12-1-1000200020-1-1-100-1-10000-100
χ302222-122222-12-1-1-1-1-1-122-122-12222-1-1-1-122-1-1-1-1-1-1000-2-20-2-20011-1-1-12-1-1000-2000-2011100110000100
χ312222-122222-12-1-1-1-1-1-122-122-1-2-2-2-211-1-122-1-1-1-1-1-1000220-2-200-1-1111-211000-200020-11100-1-10000100
χ322222-122222-12-1-1-1-1-1-122-122-1-2-2-2-211-1-122-1-1-1-1-1-1000-2-20220011111-2110002000-201-1-100110000-100
χ332222-122222-12-1-1-1-1-1-1-2-2-122-12-22211-1-1-2-2111111000220-2-200-1-1-1-1-1-2110002000-20-11100110000-100
χ342222-122222-12-1-1-1-1-1-1-2-2-122-12-22211-1-1-2-2111111000-2-20220011-1-1-1-211000-2000201-1-100-1-10000100
χ352222-122222-12-1-1-1-1-1-1-2-2-122-1-22-2-2-1-1-1-1-2-21111110002202200-1-11112-1-1000-2000-20-1-1-100110000100
χ362222-122222-12-1-1-1-1-1-1-2-2-122-1-22-2-2-1-1-1-1-2-2111111000-2-20-2-200111112-1-100020002011100-1-10000-100
χ372-2-2222-22-2-2-22-222-22-200-22-22000000-22000000002-200002-2000000000000002-200002-2000002-20000
χ382-2-2222-22-2-2-22-222-22-200-22-22000000-22000000002-20000-22000000000000002-20000-2200000-220000
χ392-2-2222-22-2-2-22-222-22-200-22-22000000-2200000000-2200002-200000000000000-2200002-200000-220000
χ402-2-2222-22-2-2-22-222-22-200-22-22000000-2200000000-220000-2200000000000000-220000-22000002-20000
χ4144444-2-4-4-2-24-244-2-2-2-200-422-4000000220000000000400-400-2-20000000000000000200000000000000
χ4244444-2-4-4-2-24-244-2-2-2-200-422-4000000220000000000-400400220000000000000000-200000000000000
χ434444-24-4-444-24-2-2-2-2-2-2002-4-4200000022000000000004-400000-2-200000000000000020000000000000
χ444444-24-4-444-24-2-2-2-2-2-2002-4-420000002200000000000-440000022000000000000000-20000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-211-21100000000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-211110000000000002-1-12-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-1000000000000-2112-1-100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-10000000000002-1-1-21100000000000000000000000
χ4944-4-444004-44-4-4-444-4-400000000000000000000000000000000000000004i−4i000000000000000000000
χ5044-4-444004-44-4-4-444-4-40000000000000000000000000000000000000000−4i4i000000000000000000000
χ514-44-44400-44-4-44-44-4-4422−2200000000000022−2222−222222−22−2200000000000000000000000000000000000000000
χ524-44-44400-44-4-44-44-4-44−2222000000000000−2222−2222−22−22222200000000000000000000000000000000000000000
χ534-44-44-2002-2-424-4-222-222−22000000000000−2222−22−2−22200000000−2i32i300000000000000000000i6−i6000000000
χ544-44-44-2002-2-424-4-222-222−22000000000000−2222−22−2−222000000002i3−2i300000000000000000000−i6i6000000000
χ554-44-44-2002-2-424-4-222-2−22220000000000002−2−222222−2−200000000−2i32i300000000000000000000−i6i6000000000
χ564-44-44-2002-2-424-4-222-2−22220000000000002−2−222222−2−2000000002i3−2i300000000000000000000i6−i6000000000
χ574-44-4-2400-442-4-22-222-222−2200000000000022−22−22−2−222000000000023−23000000000000000000006−60000000
χ584-44-4-2400-442-4-22-222-222−2200000000000022−22−22−2−2220000000000−232300000000000000000000−660000000
χ594-44-4-2400-442-4-22-222-2−2222000000000000−22222−222−2−2000000000023−2300000000000000000000−660000000
χ604-44-4-2400-442-4-22-222-2−2222000000000000−22222−222−2−20000000000−2323000000000000000000006−60000000
χ614-4-44444-4-4-4-44-444-44-4004-44-40000004-40000000000000000000000000000000000000000000000000
χ624-4-444-24-422-4-2-44-22-220042-2-400−2i32i300-22000000000000000000000−2i32i300000000000000000000000000
χ634-4-444-24-422-4-2-44-22-220042-2-4002i3−2i300-220000000000000000000002i3−2i300000000000000000000000000
χ644-4-444-2-4422-4-2-44-22-2200-4-2240000002-2000000004-400000000000000000000-2200000000000000000
χ654-4-444-2-4422-4-2-44-22-2200-4-2240000002-200000000-44000000000000000000002-200000000000000000
χ664-4-44-244-4-4-4242-2-22-2200-2-442000023−23-2200000000000000000000000023−2300000000000000000000000
χ674-4-44-244-4-4-4242-2-22-2200-2-4420000−2323-22000000000000000000000000−232300000000000000000000000
χ684-4-44-24-44-4-4242-2-22-220024-4-20000002-2000000000000004-400000000000000000000-2200000000000
χ694-4-44-24-44-4-4242-2-22-220024-4-20000002-200000000000000-44000000000000000000002-200000000000
χ704-4-44-2-24-4222-22-21-11-100-22-2200−2i32i323−231-100003i−3i3i−3i0000000000000i3−i30−3300000000000000000000000
χ714-4-44-2-24-4222-22-21-11-100-22-2200−2i32i3−23231-10000−3i3i−3i3i0000000000000i3−i303−300000000000000000000000
χ724-4-44-2-24-4222-22-21-11-100-22-22002i3−2i323−231-10000−3i3i−3i3i0000000000000−i3i30−3300000000000000000000000
χ734-4-44-2-24-4222-22-21-11-100-22-22002i3−2i3−23231-100003i−3i3i−3i0000000000000−i3i303−300000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7588-8-88-400-4484-8-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-48008-8-4-844-4-444000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-400-44-444422-2-2000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ7888-8-8-4-400-44-444422-2-20000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ798-88-8-4-4004-444-442-2-2242−42000000000000−2222−222222−2−200000000000000000000000000000000000000000
χ808-88-8-4-4004-444-442-2-22−424200000000000022−2222−22−2−22200000000000000000000000000000000000000000
χ818-8-88-4-4-88444-44-42-22-2004-44-4000000-220000000000000000000000000000000000000000000000000

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