Finite Group Databasebeta

← Group #11895988

Character table — Group #11895988

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order1222334466666636668812121212246612121212242424242424242444444444121212126661212124424881212121212122424242448861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-11-1-1-111-1-1111111-1-11-11-1111-1-1-111-1-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-1-11-1111-1-111111111-1-1-11-11-1-1-1111-1-111-1-1-1-11-1-1
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
χ5111111111111111111111111-1-1-1-1-1-1111111111111-11-11-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-111-1-1-11-111
χ6111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-111-1-1111-1-11-1-11111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-11-11-11111-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-1-1-1-1-1111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-11-1111-1-111111-1-1-1-1-1-1-11-1-11111111-1-1-111-1-1-11
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1111-111-1-1-111111-1-1-111-1
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1111-1-1-11-1-1111-1-1-1-11-1-11-11-1
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1111-1-1-1-1-111-111-1-1-1-1-1-1-111-11111-11
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-111111-11-1-11111-1-1-1-1-1-11-1-1-11-11
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1111-11-11111-1-1-1-1-1111-1-1-1-1-11111-111-1-111-111-1-11-1
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1111-1-1111-1-1-1-11-1-111-1-1-111111-1
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-111-1-1-1-11111111-1-11-1-11
χ17222222-2-2222222222200-2-2-2-2000000-2-2000000000022-2-20022-2-2000000220000-2002000000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-200000000002-2-22002222000000-2-20000-200-20000002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-20000000000-222-200-2-2-2-2000000-2-2000020020000002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-20000000000-2-22200-2-222000000220000200-2000000-2000000
χ2122222-1222-1-1-122-1-1-1-1222-12-12222-1-1-1-122-1-1-1-1-1-122202000-1-100-1-1-12-1-1002020-1-1-1000-1-100000-1000
χ2222222-1222-1-1-122-1-1-1-1222-12-12222-1-1-1-122-1-1-1-1-1-1-2-2-20-20001100-1-1-12-1-100-20-2011100011000001000
χ2322222-1222-1-1-122-1-1-1-1222-12-1-2-2-2-211-1-122-1-1-1-1-1-122-20-20001100111-2110020-201-1-10001100000-1000
χ2422222-1222-1-1-122-1-1-1-1222-12-1-2-2-2-211-1-122-1-1-1-1-1-1-2-2202000-1-100111-21100-2020-111000-1-1000001000
χ2522222-1222-1-1-122-1-1-1-1-2-22-12-12-22211-1-1-2-211111122-20-20001100-1-1-1-21100-20201-1-1000-1-1000001000
χ2622222-1222-1-1-122-1-1-1-1-2-22-12-12-22211-1-1-2-2111111-2-2202000-1-100-1-1-1-2110020-20-1110001100000-1000
χ2722222-1222-1-1-122-1-1-1-1-2-22-12-1-22-2-2-1-1-1-1-2-211111122202000-1-1001112-1-100-20-20-1-1-100011000001000
χ2822222-1222-1-1-122-1-1-1-1-2-22-12-1-22-2-2-1-1-1-1-2-2111111-2-2-20-200011001112-1-1002020111000-1-100000-1000
χ292222-1222-1222-1-1-1-1-1-122-12-1222-1-122-1-1-1-122-1-1-1-10002022200-1-12-1-1-1-1-1000202000-1-1-100-1-10000-100
χ302222-1222-1222-1-1-1-1-1-122-12-1222-1-122-1-1-1-122-1-1-1-1000-20-2-2-200112-1-1-1-1-1000-20-200011100110000100
χ312222-1222-1222-1-1-1-1-1-122-12-12-2-211-2-2-1-1-1-122-1-1-1-1000202-2-200-1-1-211111000-202000-11100-1-10000100
χ322222-1222-1222-1-1-1-1-1-122-12-12-2-211-2-2-1-1-1-122-1-1-1-1000-20-2220011-21111100020-20001-1-100110000-100
χ332222-1222-1222-1-1-1-1-1-1-2-2-12-122-2-1-1-2-2-1-111-2-211110002022200-1-12-1-1111000-20-2000-1-1-100110000100
χ342222-1222-1222-1-1-1-1-1-1-2-2-12-122-2-1-1-2-2-1-111-2-21111000-20-2-2-200112-1-111100020200011100-1-10000-100
χ352222-1222-1222-1-1-1-1-1-1-2-2-12-12-221122-1-111-2-21111000202-2-200-1-1-211-1-1-100020-2000-11100110000-100
χ362222-1222-1222-1-1-1-1-1-1-2-2-12-12-221122-1-111-2-21111000-20-2220011-211-1-1-1000-2020001-1-100-1-10000100
χ3722-2-2222-22-2-22-2-22-22-200-2-222000000-22000000002-200002i−2i000000000000000002-202i−2i000002i−2i0000
χ3822-2-2222-22-2-22-2-22-22-200-2-222000000-22000000002-20000−2i2i000000000000000002-20−2i2i00000−2i2i0000
χ3922-2-2222-22-2-22-2-22-22-200-2-222000000-2200000000-2200002i−2i00000000000000000-2202i−2i00000−2i2i0000
χ4022-2-2222-22-2-22-2-22-22-200-2-222000000-2200000000-220000−2i2i00000000000000000-220−2i2i000002i−2i0000
χ4144444-2-4-44-2-2-244-2-2-2-200-42-4200000022000000000040-4000-2-20000000000000020000000000000000
χ4244444-2-4-44-2-2-244-2-2-2-200-42-42000000220000000000-4040002200000000000000-20000000000000000
χ434444-24-4-4-2444-2-2-2-2-2-2002-42-4000000220000000000040-4000022000000000000000-20000000000000
χ444444-24-4-4-2444-2-2-2-2-2-2002-42-40000002200000000000-4040000-2-200000000000000020000000000000
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
χ4944-4-444-444-4-44-4-44-44-40044-4-40000004-40000000000000000000000000000000000000000000000000
χ5044-4-44-24-4422-2-4-4-22-2200-424-20000002-2000000004-400000000000000000000000-2200000000000000
χ5144-4-44-24-4422-2-4-4-22-2200-424-20000002-200000000-44000000000000000000000002-200000000000000
χ5244-4-44-2-44422-2-4-4-22-22004-2-42000023−23-2200000000000000000000000023−2300000000000000000000000
χ5344-4-44-2-44422-2-4-4-22-22004-2-420000−2323-22000000000000000000000000−232300000000000000000000000
χ5444-4-4-244-4-2-4-4422-22-22002-4-240000002-2000000000000004i−4i00000000000000000000−2i2i00000000000
χ5544-4-4-244-4-2-4-4422-22-22002-4-240000002-200000000000000−4i4i000000000000000000002i−2i00000000000
χ5644-4-4-24-44-2-4-4422-22-2200-242-400−2i32i300-22000000000000000000000−2i32i300000000000000000000000000
χ5744-4-4-24-44-2-4-4422-22-2200-242-4002i3−2i300-220000000000000000000002i3−2i300000000000000000000000000
χ5844-4-4-2-2-44-222-2221-11-100-2-22200−2i32i323−231-100003i3i−3i−3i0000000000000i3−i30−3300000000000000000000000
χ5944-4-4-2-2-44-222-2221-11-100-2-22200−2i32i3−23231-10000−3i−3i3i3i0000000000000i3−i303−300000000000000000000000
χ6044-4-4-2-2-44-222-2221-11-100-2-222002i3−2i323−231-10000−3i−3i3i3i0000000000000−i3i30−3300000000000000000000000
χ6144-4-4-2-2-44-222-2221-11-100-2-222002i3−2i3−23231-100003i3i−3i−3i0000000000000−i3i303−300000000000000000000000
χ624-44-44400-44-4-44-444-4-4−2i22i2000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000000
χ634-44-44400-44-4-44-444-4-42i2−2i20000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000000
χ644-44-44-200-4-2224-4-2-222−2i22i2000000000000−2i22i2i2−i2i2−i2i2−i200000000−2i32i3000000000000000000006−6000000000
χ654-44-44-200-4-2224-4-2-222−2i22i2000000000000−2i22i2i2−i2i2−i2i2−i2000000002i3−2i300000000000000000000−66000000000
χ664-44-44-200-4-2224-4-2-2222i2−2i20000000000002i2−2i2−i2i2−i2i2−i2i200000000−2i32i300000000000000000000−66000000000
χ674-44-44-200-4-2224-4-2-2222i2−2i20000000000002i2−2i2−i2i2−i2i2−i2i2000000002i3−2i3000000000000000000006−6000000000
χ684-44-4-240024-4-4-22-2-222−2i22i2000000000000i2−i2−2i22i2i2−i2i2−i2000000000023−2300000000000000000000i6−i60000000
χ694-44-4-240024-4-4-22-2-222−2i22i2000000000000i2−i2−2i22i2i2−i2i2−i20000000000−232300000000000000000000−i6i60000000
χ704-44-4-240024-4-4-22-2-2222i2−2i2000000000000−i2i22i2−2i2−i2i2−i2i2000000000023−2300000000000000000000−i6i60000000
χ714-44-4-240024-4-4-22-2-2222i2−2i2000000000000−i2i22i2−2i2−i2i2−i2i20000000000−232300000000000000000000i6−i60000000
χ724-4-444400-4-44-4-444-4-4400000000000000000000000000000000000000004-4000000000000000000000
χ734-4-444400-4-44-4-444-4-440000000000000000000000000000000000000000-44000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7588-8-8-4-48-8-444-4442-22-20044-4-4000000-220000000000000000000000000000000000000000000000000
χ768-88-8-4-4004-444-4422-2-2−4i24i20000000000002i2−2i22i2−2i2−i2i2−i2i200000000000000000000000000000000000000000
χ778-88-8-4-4004-444-4422-2-24i2−4i2000000000000−2i22i2−2i22i2i2−i2i2−i200000000000000000000000000000000000000000
χ788-8-888-400-84-44-88-444-4000000000000000000000000000000000000000000000000000000000000000
χ798-8-88-48004-88-84-4-444-4000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-40044-444-42-2-2200000000000000000032−32−323200000000000000000000000000000000000000000
χ818-8-88-4-40044-444-42-2-22000000000000000000−323232−3200000000000000000000000000000000000000000

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