Finite Group Databasebeta

← Group #11889115

Character table — Group #11889115

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order122233446666663666881212121224661212121224242424242424242224444466121266612121222246688121212122424242448861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-11111-11-1-1-111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111-1-111111111-1-11-1-1-1-11-1111-1-111-1-1-11-1-1-1
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
χ5111111111111111111111111-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1111-11-11-1-1-1-111-1-1-1-1111
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
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-11-11-11111-1-1-1-1-11-111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111111-1-11111111-1-1-1111-111-1-111-1-1-1-1-1-11-1-11-1-11
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1111-1-1-1-1-1-1-111-111-111-1-111-111-1-11-1
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-11-1-11-1-111-1-1-111111-1
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-111-11-1-111-1-11111111-1-1-11-11
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1111-1-1-1-1111-1-111111-1-1-111-1-1-11
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-111111-1-11-11-1
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-111111-11-1-1-1-11111-1-1-1-11-1-1-111-1
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1111-1-111-1-1-111-1-1-1-1-111-11111-11
χ17222222-2-2222222222200-2-2-2-2000000-2-200000000002-22-2002222000000-2-2000000-2-20000002000000
χ18222222-2-2222222222200-2-2-2-2000000-2-200000000002-2-220022-2-200000022000000-22000000-2000000
χ19222222-2-2222222222200-2-2-2-2000000-2-20000000000-222-200-2-222000000220000002-2000000-2000000
χ20222222-2-2222222222200-2-2-2-2000000-2-20000000000-22-2200-2-2-2-2000000-2-2000000220000002000000
χ2122222-122-122-1-12-1-1-1-1222-1-1222-1-122-1-1-1-122-1-1-1-122220000-1-1002-1-1-1-1-10002-1-120-1000-1-1000000-100
χ2222222-122-122-1-12-1-1-1-1222-1-1222-1-122-1-1-1-122-1-1-1-1-2-2-2-2000011002-1-1-1-1-1000-211-20100011000000100
χ2322222-122-122-1-12-1-1-1-1222-1-12-2-211-2-2-1-1-1-122-1-1-1-122-2-200001100-2111110002-1-1-20100011000000-100
χ2422222-122-122-1-12-1-1-1-1222-1-12-2-211-2-2-1-1-1-122-1-1-1-1-2-2220000-1-100-211111000-21120-1000-1-1000000100
χ2522222-122-122-1-12-1-1-1-1-2-22-1-122-2-1-1-2-2-1-111-2-2111122220000-1-1002-1-1111000-2-1-1-20-100011000000100
χ2622222-122-122-1-12-1-1-1-1-2-22-1-122-2-1-1-2-2-1-111-2-21111-2-2-2-2000011002-1-1111000211201000-1-1000000-100
χ2722222-122-122-1-12-1-1-1-1-2-22-1-12-221122-1-111-2-2111122-2-200001100-211-1-1-1000-2-1-1201000-1-1000000100
χ2822222-122-122-1-12-1-1-1-1-2-22-1-12-221122-1-111-2-21111-2-2220000-1-100-211-1-1-1000211-20-100011000000-100
χ292222-12222-1-122-1-1-1-1-122-122-12222-1-1-1-122-1-1-1-1-1-10000222200-1-1-1-1-12-1-1002000020-1-1-100-1-1000-1000
χ302222-12222-1-122-1-1-1-1-122-122-12222-1-1-1-122-1-1-1-1-1-10000-2-2-2-20011-1-1-12-1-100-20000-2011100110001000
χ312222-12222-1-122-1-1-1-1-122-122-1-2-2-2-211-1-122-1-1-1-1-1-1000022-2-200-1-1111-21100-2000020-11100-1-10001000
χ322222-12222-1-122-1-1-1-1-122-122-1-2-2-2-211-1-122-1-1-1-1-1-10000-2-2220011111-2110020000-201-1-10011000-1000
χ332222-12222-1-122-1-1-1-1-1-2-2-122-12-22211-1-1-2-2111111000022-2-200-1-1-1-1-1-2110020000-20-1110011000-1000
χ342222-12222-1-122-1-1-1-1-1-2-2-122-12-22211-1-1-2-21111110000-2-2220011-1-1-1-21100-20000201-1-100-1-10001000
χ352222-12222-1-122-1-1-1-1-1-2-2-122-1-22-2-2-1-1-1-1-2-21111110000222200-1-11112-1-100-20000-20-1-1-100110001000
χ362222-12222-1-122-1-1-1-1-1-2-2-122-1-22-2-2-1-1-1-1-2-21111110000-2-2-2-200111112-1-100200002011100-1-1000-1000
χ3722-2-2222-2-22-22-2-22-2-22002-22-20000002-2000000002-200002i−2i000000000000002-200002i−2i000002i−2i0000
χ3822-2-2222-2-22-22-2-22-2-22002-22-20000002-2000000002-20000−2i2i000000000000002-20000−2i2i00000−2i2i0000
χ3922-2-2222-2-22-22-2-22-2-22002-22-20000002-200000000-2200002i−2i00000000000000-2200002i−2i00000−2i2i0000
χ4022-2-2222-2-22-22-2-22-2-22002-22-20000002-200000000-220000−2i2i00000000000000-220000−2i2i000002i−2i0000
χ4144444-2-4-4-244-2-24-2-2-2-200-422-40000002200000000004-40000-2-20000000000000000200000000000000
χ4244444-2-4-4-244-2-24-2-2-2-200-422-4000000220000000000-440000220000000000000000-200000000000000
χ434444-24-4-44-2-244-2-2-2-2-2002-4-42000000220000000000004-40000-2-200000000000000020000000000000
χ444444-24-4-44-2-244-2-2-2-2-2002-4-4200000022000000000000-44000022000000000000000-20000000000000
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
χ4944-4-444-44-44-44-4-44-4-4400-44-44000000-440000000000000000000000000000000000000000000000000
χ5044-4-44-24-424-4-22-4-222-20042-2-4000000-22000000004-400000000000000000000-2200000000000000000
χ5144-4-44-24-424-4-22-4-222-20042-2-4000000-2200000000-44000000000000000000002-200000000000000000
χ5244-4-44-2-4424-4-22-4-222-200-4-22400−2i32i3002-2000000000000000000000−2i32i300000000000000000000000000
χ5344-4-44-2-4424-4-22-4-222-200-4-224002i3−2i3002-20000000000000000000002i3−2i300000000000000000000000000
χ5444-4-4-244-4-4-224-42-222-200-2-442000000-22000000000000004i−4i00000000000000000000−2i2i00000000000
χ5544-4-4-244-4-4-224-42-222-200-2-442000000-2200000000000000−4i4i000000000000000000002i−2i00000000000
χ5644-4-4-24-44-4-224-42-222-20024-4-20000−2i32i32-2000000000000000000000000−2i32i300000000000000000000000
χ5744-4-4-24-44-4-224-42-222-20024-4-200002i3−2i32-20000000000000000000000002i3−2i300000000000000000000000
χ5844-4-4-2-2-442-22-2221-1-11002-22-200−2i32i3−2i32i3-11000033-3-30000000000000i3−i30i3−i300000000000000000000000
χ5944-4-4-2-2-442-22-2221-1-11002-22-200−2i32i32i3−2i3-110000-3-3330000000000000i3−i30−i3i300000000000000000000000
χ6044-4-4-2-2-442-22-2221-1-11002-22-2002i3−2i3−2i32i3-110000-3-3330000000000000−i3i30i3−i300000000000000000000000
χ6144-4-4-2-2-442-22-2221-1-11002-22-2002i3−2i32i3−2i3-11000033-3-30000000000000−i3i30−i3i300000000000000000000000
χ624-44-444004-44-4-4-444-4-4−2i22i2000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000000
χ634-44-444004-44-4-4-444-4-42i2−2i20000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000000
χ644-44-44-200-2-4422-4-2-222−2i22i2000000000000i2−i2−2i22i2i2−i2i2−i200000000−2i32i3000000000000000000006−6000000000
χ654-44-44-200-2-4422-4-2-222−2i22i2000000000000i2−i2−2i22i2i2−i2i2−i2000000002i3−2i300000000000000000000−66000000000
χ664-44-44-200-2-4422-4-2-2222i2−2i2000000000000−i2i22i2−2i2−i2i2−i2i200000000−2i32i300000000000000000000−66000000000
χ674-44-44-200-2-4422-4-2-2222i2−2i2000000000000−i2i22i2−2i2−i2i2−i2i2000000002i3−2i3000000000000000000006−6000000000
χ684-44-4-240042-2-4-42-2-222−2i22i2000000000000−2i22i2i2−i2i2−i2i2−i20000000000−2i32i3000000000000000000006−60000000
χ694-44-4-240042-2-4-42-2-222−2i22i2000000000000−2i22i2i2−i2i2−i2i2−i200000000002i3−2i300000000000000000000−660000000
χ704-44-4-240042-2-4-42-2-2222i2−2i20000000000002i2−2i2−i2i2−i2i2−i2i20000000000−2i32i300000000000000000000−660000000
χ714-44-4-240042-2-4-42-2-2222i2−2i20000000000002i2−2i2−i2i2−i2i2−i2i200000000002i3−2i3000000000000000000006−60000000
χ724-4-444400-4-4-4-4444-44-400000000000000000000000000000000000000004-4000000000000000000000
χ734-4-444400-4-4-4-4444-44-40000000000000000000000000000000000000000-44000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7588-8-8-4-48-84-44-4442-2-2200-44-440000002-20000000000000000000000000000000000000000000000000
χ768-88-8-4-400-44-444422-2-2−4i24i20000000000002i2−2i22i2−2i2−i2i2−i2i200000000000000000000000000000000000000000
χ778-88-8-4-400-44-444422-2-24i2−4i2000000000000−2i22i2−2i22i2i2−i2i2−i200000000000000000000000000000000000000000
χ788-8-888-4004-8-84-48-44-44000000000000000000000000000000000000000000000000000000000000000
χ798-8-88-4800-844-88-4-44-44000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-4004444-4-42-22-2000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ818-8-88-4-4004444-4-42-22-20000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000

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