Finite Group Databasebeta

← Group #11884028

Character table — Group #11884028

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order122233446666663666881212121224661212121224242424242424242224444466121266612121222246688121212122424242448861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11-1-111-1-1111111-1-1-11111-1-1-1-1111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111-1-1-111-111-1-111111111-1-11-1-1-1-11111-1-1-111-1-1-11-1-1-1
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
χ5111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-111-1-1-1-1111
χ6111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111-1-111111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-111111-1-1-1-1-11-111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111111-1-11111111-1-1-1111-111-1-11-1-11-1-1-1-11-1-11-1-11
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111-1-111111-1-1111-1-1-1-1-1-1-111-11-1111-1-111-111-1-11-1
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-1-111-1-11-11-1-1-111-1-1-111111-1
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-111-11-1-111-111-111111-1-1-11-11
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-111-111-1-111-1-1-1111-1-1-1-1111-1111-111-1-1-111-1-1-11
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
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1111-1-111-1-1-11-1-1-11-1-111-11111-11
χ17222222-2-2222222222200-2-2-2-2000000-2-2000000000022-2-2002222000000-2-2000000-200-200002000000
χ18222222-2-2222222222200-2-2-2-2000000-2-200000000002-22-20022-2-200000022000000200-20000-2000000
χ19222222-2-2222222222200-2-2-2-2000000-2-20000000000-22-2200-2-22200000022000000-20020000-2000000
χ20222222-2-2222222222200-2-2-2-2000000-2-20000000000-2-22200-2-2-2-2000000-2-2000000200200002000000
χ2122222-122-1-1222-1-1-1-1-1222-1-1222-1-122-1-1-1-122-1-1-1-122200200-1-1002-1-1-1-1-10002-1-120000-1-1-1000000-100
χ2222222-122-1-1222-1-1-1-1-1222-1-1222-1-122-1-1-1-122-1-1-1-1-2-2-200-20011002-1-1-1-1-1000-211-20000111000000100
χ2322222-122-1-1222-1-1-1-1-1222-1-12-2-211-2-2-1-1-1-122-1-1-1-122-200-2001100-2111110002-1-1-20000111000000-100
χ2422222-122-1-1222-1-1-1-1-1222-1-12-2-211-2-2-1-1-1-122-1-1-1-1-2-2200200-1-100-211111000-21120000-1-1-1000000100
χ2522222-122-1-1222-1-1-1-1-1-2-22-1-122-2-1-1-2-2-1-111-2-2111122200200-1-1002-1-1111000-2-1-1-20000-111000000100
χ2622222-122-1-1222-1-1-1-1-1-2-22-1-122-2-1-1-2-2-1-111-2-21111-2-2-200-20011002-1-1111000211200001-1-1000000-100
χ2722222-122-1-1222-1-1-1-1-1-2-22-1-12-221122-1-111-2-2111122-200-2001100-211-1-1-1000-2-1-1200001-1-1000000100
χ2822222-122-1-1222-1-1-1-1-1-2-22-1-12-221122-1-111-2-21111-2-2200200-1-100-211-1-1-1000211-20000-111000000-100
χ292222-122222-1-1-12-1-1-1-122-122-12222-1-1-1-122-1-1-1-1-1-10002202200-1-1-1-1-12-1-100200002-1-1-1000-1-1000-1000
χ302222-122222-1-1-12-1-1-1-122-122-12222-1-1-1-122-1-1-1-1-1-1000-2-20-2-20011-1-1-12-1-100-20000-2111000110001000
χ312222-122222-1-1-12-1-1-1-122-122-1-2-2-2-211-1-122-1-1-1-1-1-1000220-2-200-1-1111-21100-200002-111000-1-10001000
χ322222-122222-1-1-12-1-1-1-122-122-1-2-2-2-211-1-122-1-1-1-1-1-1000-2-20220011111-2110020000-21-1-100011000-1000
χ332222-122222-1-1-12-1-1-1-1-2-2-122-12-22211-1-1-2-2111111000220-2-200-1-1-1-1-1-2110020000-2-11100011000-1000
χ342222-122222-1-1-12-1-1-1-1-2-2-122-12-22211-1-1-2-2111111000-2-20220011-1-1-1-21100-2000021-1-1000-1-10001000
χ352222-122222-1-1-12-1-1-1-1-2-2-122-1-22-2-2-1-1-1-1-2-21111110002202200-1-11112-1-100-20000-2-1-1-1000110001000
χ362222-122222-1-1-12-1-1-1-1-2-2-122-1-22-2-2-1-1-1-1-2-2111111000-2-20-2-200111112-1-100200002111000-1-1000-1000
χ372-2-2222-22-2-2-2-2222-22-200-22-22000000-22000000002-200002-2000000000000002-20002-20000002-20000
χ382-2-2222-22-2-2-2-2222-22-200-22-22000000-22000000002-20000-22000000000000002-2000-22000000-220000
χ392-2-2222-22-2-2-2-2222-22-200-22-22000000-2200000000-2200002-200000000000000-220002-2000000-220000
χ402-2-2222-22-2-2-2-2222-22-200-22-22000000-2200000000-220000-2200000000000000-22000-220000002-20000
χ4144444-2-4-4-2-2444-2-2-2-2-200-422-4000000220000000000400-400-2-20000000000000000000200000000000
χ4244444-2-4-4-2-2444-2-2-2-2-200-422-4000000220000000000-400400220000000000000000000-200000000000
χ434444-24-4-444-2-2-24-2-2-2-2002-4-4200000022000000000004-400000-2-200000000000000200000000000000
χ444444-24-4-444-2-2-24-2-2-2-2002-4-420000002200000000000-44000002200000000000000-200000000000000
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
χ4944-4-444004-44-4-4-444-4-4−2i22i2000000000000−2i22i2−2i22i2−2i2−2i22i22i200000000000000000000000000000000000000000
χ5044-4-444004-44-4-4-444-4-42i2−2i20000000000002i2−2i22i2−2i22i22i2−2i2−2i200000000000000000000000000000000000000000
χ5144-4-44-200-224-4-42-2-222−2i22i2000000000000i2−i2−2i22i2i2i2−i2−i200000000−2i32i3000000000000000000006−6000000000
χ5244-4-44-200-224-4-42-2-222−2i22i2000000000000i2−i2−2i22i2i2i2−i2−i2000000002i3−2i300000000000000000000−66000000000
χ5344-4-44-200-224-4-42-2-2222i2−2i2000000000000−i2i22i2−2i2−i2−i2i2i200000000−2i32i300000000000000000000−66000000000
χ5444-4-44-200-224-4-42-2-2222i2−2i2000000000000−i2i22i2−2i2−i2−i2i2i2000000002i3−2i3000000000000000000006−6000000000
χ5544-4-4-24004-4-222-4-2-222−2i22i2000000000000−2i22i2i2−i2i2i2−i2−i20000000000−2i32i3000000000000000000006−60000000
χ5644-4-4-24004-4-222-4-2-222−2i22i2000000000000−2i22i2i2−i2i2i2−i2−i200000000002i3−2i300000000000000000000−660000000
χ5744-4-4-24004-4-222-4-2-2222i2−2i20000000000002i2−2i2−i2i2−i2−i2i2i20000000000−2i32i300000000000000000000−660000000
χ5844-4-4-24004-4-222-4-2-2222i2−2i20000000000002i2−2i2−i2i2−i2−i2i2i200000000002i3−2i3000000000000000000006−60000000
χ594-44-44400-44-44-4-44-4-4400000000000000000000000000000000000000004-4000000000000000000000
χ604-44-44400-44-44-4-44-4-440000000000000000000000000000000000000000-44000000000000000000000
χ614-4-44444-4-4-4-4-4444-44-4004-44-40000004-40000000000000000000000000000000000000000000000000
χ624-4-444-24-422-4-44-2-22-220042-2-400−2i32i300-22000000000000000000000−2i32i300000000000000000000000000
χ634-4-444-24-422-4-44-2-22-220042-2-4002i3−2i300-220000000000000000000002i3−2i300000000000000000000000000
χ644-4-444-2-4422-4-44-2-22-2200-4-2240000002-2000000004-400000000000000000000-2200000000000000000
χ654-4-444-2-4422-4-44-2-22-2200-4-2240000002-200000000-44000000000000000000002-200000000000000000
χ664-4-44-244-4-4-422-24-22-2200-2-442000023−23-2200000000000000000000000023−2300000000000000000000000
χ674-4-44-244-4-4-422-24-22-2200-2-4420000−2323-22000000000000000000000000−232300000000000000000000000
χ684-4-44-24-44-4-422-24-22-220024-4-20000002-2000000000000004-40000000000000000000-22000000000000
χ694-4-44-24-44-4-422-24-22-220024-4-20000002-200000000000000-4400000000000000000002-2000000000000
χ704-4-44-2-24-42222-2-21-11-100-22-2200−2i32i323−231-100003i−3i3i−3i0000000000000i3−i30−3300000000000000000000000
χ714-4-44-2-24-42222-2-21-11-100-22-2200−2i32i3−23231-10000−3i3i−3i3i0000000000000i3−i303−300000000000000000000000
χ724-4-44-2-24-42222-2-21-11-100-22-22002i3−2i323−231-10000−3i3i−3i3i0000000000000−i3i30−3300000000000000000000000
χ734-4-44-2-24-42222-2-21-11-100-22-22002i3−2i3−23231-100003i−3i3i−3i0000000000000−i3i303−300000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7588-8-8-4-400-44-444422-2-2−4i24i20000000000002i2−2i22i2−2i2−i2−i2i2i200000000000000000000000000000000000000000
χ7688-8-8-4-400-44-444422-2-24i2−4i2000000000000−2i22i2−2i22i2i2i2−i2−i200000000000000000000000000000000000000000
χ778-88-88-4004-4-88-84-444-4000000000000000000000000000000000000000000000000000000000000000
χ788-88-8-4800-884-44-8-444-4000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-44-4442-2-2200000000000000000032−32−323200000000000000000000000000000000000000000
χ808-88-8-4-4004-44-4442-2-22000000000000000000−323232−3200000000000000000000000000000000000000000
χ818-8-88-4-4-884444-4-42-22-2004-44-4000000-220000000000000000000000000000000000000000000000000

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