Finite Group Databasebeta

← Group #11863908

Character table — Group #11863908

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444666688888888999912121212121212121212121212121616181824242424242424242424242436363636363648487272
order1244242334661212121222446666121212122244222444668888121261224246661212122424242424888861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ41111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ5111111-111-1111111111111-1-11-1-1111111-1-11-1-111111111-1-111-1-11-1-11-1-11111-1-11111-1-1-1-1
χ6111111-111-1111111111111-1-11-1-1111111-1-11-1-111-1-1-1-111-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111-111-1111111-1-1-1-111-1-11-1-111111-111-111-1-11111-1-1-1-111-1-1-111-1111111-1-1-1-1-1-1-1-111
χ8111111-111-1111111-1-1-1-111-1-11-1-111111-111-111-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-1111111-1-1
χ911-1-1-11111-111-1-1-1-111-1-1-1-1111-1-1111-1-1-1111-1-11111-1-1-1-11-1-111-1-1111-1-111-1-11-111-1-11-11-1
χ1011-1-1-11111-111-1-1-1-111-1-1-1-1111-1-1111-1-1-1111-1-111-1-111-1-11-1-11-11-1111-1-1-1-1111-1-1-111-11-11
χ1111-1-1-11111-111-1-1-1-1-1-111-1-1111-1-1111-1-11-1-1-111-1-111-1-1111-1-111-11-1-1-11111-1-11-1-1-1111-1-11
χ1211-1-1-11111-111-1-1-1-1-1-111-1-1111-1-1111-1-11-1-1-111-1-1-1-111111-1-11-111-1-1-111-1-1111-111-1-1-111-1
χ1311-1-1-11-111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-11111111-1-1-1-1-11-11-11-1-1-111111-1-1-1111-1-1-11-11
χ1411-1-1-11-111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-111111-1-111-1-1-11-111-1-1-1-1111-1-111-11-1-1111-11-1
χ1511-1-1-11-111111-1-1-1-1-1-111-1-1-1-1111111-1-1111-1-1-1-1-111-1-111-11-11-11111-1-1-111-1-1-11-1-111-111-1
χ1611-1-1-11-111111-1-1-1-1-1-111-1-1-1-1111111-1-1111-1-1-1-1-1-1-11111-11-111-1111-1-1-1-1-111-1111-1-11-1-11
χ172222222222222222000022222222-2-2-2-20000000000000022-2-2000000000000-2-200000000
χ18222222-222-2222222000022-2-22-2-22-2-2-2-200000000000000-2-2-2-20000000000002200000000
χ192222-2-202202222220000-2-200-200-2-2-2-2-202-202-20000000000220002-202-200000000000000
χ202222-2-202202222220000-2-200-200-2-2-2-2-20-220-22000000000022000-220-2200000000000000
χ212222-2-202202222222222-2-200-200-22222-200-2002200002200-2-200-200-20000000000000000
χ222222-2-20220222222-2-2-2-2-2-200-200-22222200200-2-20000-2-200-2-20020020000000000000000
χ2322-2-22-2022022-2-2-2-200002200-200-2-2-22202-20-220000000000-220002-20-2200000000000000
χ2422-2-22-2022022-2-2-2-200002200-200-2-2-2220-2202-20000000000-22000-2202-200000000000000
χ2522-2-22-2022022-2-2-2-222-2-22200-200-222-2-2200-200220000-2-2002-200200-20000000000000000
χ2622-2-22-2022022-2-2-2-2-2-2222200-200-222-2-2-200200-2-2000022002-200-20020000000000000000
χ2722-2-2-22222-222-2-2-2-20000-2-2222-2-22-2-222000000000000002-22-2000000000000-2200000000
χ2822-2-2-22-222222-2-2-2-20000-2-2-2-22222-2-22200000000000000-222-20000000000002-200000000
χ292-22i−2i000220-2-22i−2i2i−2i2-22i−2i000000002-22i−2i0000002-22−2i2−i22i−2i0000000000002−2i2−i2002−2i2−i20000
χ302-22i−2i000220-2-22i−2i2i−2i2-22i−2i000000002-22i−2i0000002-2−22−i2i22i−2i000000000000−22−i2i200−22−i2i20000
χ312-22i−2i000220-2-22i−2i2i−2i-22−2i2i000000002-22i−2i000000-222−2i2−i2−2i2i0000000000002−2i2−i200−22−i2i20000
χ322-22i−2i000220-2-22i−2i2i−2i-22−2i2i000000002-22i−2i000000-22−22−i2i2−2i2i000000000000−22−i2i2002−2i2−i20000
χ332-2−2i2i000220-2-2−2i2i−2i2i2-2−2i2i000000002-2−2i2i0000002-22−2−i2i2−2i2i0000000000002−2−i2i2002−2−i2i20000
χ342-2−2i2i000220-2-2−2i2i−2i2i2-2−2i2i000000002-2−2i2i0000002-2−22i2−i2−2i2i000000000000−22i2−i200−22i2−i20000
χ352-2−2i2i000220-2-2−2i2i−2i2i-222i−2i000000002-2−2i2i000000-222−2−i2i22i−2i0000000000002−2−i2i200−22i2−i20000
χ362-2−2i2i000220-2-2−2i2i−2i2i-222i−2i000000002-2−2i2i000000-22−22i2−i22i−2i000000000000−22i2−i2002−2−i2i20000
χ3744444441-241-211-2-200001-2-2-2-2-2-21000000000000222200110022000000-1-1-1-1000000-1-100
χ3844444441-241-211-2-200001-2-2-2-2-2-21000000000000-2-2-2-2001100-2-200000011110000001100
χ394444444-214-21-2-2112222-2111111-20000222222-1-10000-1-1-2-20000-1-1-1-1-1-100000000000000
χ404444444-214-21-2-211-2-2-2-2-2111111-20000-2-2-2-2-2-211000011-2-2000011111100000000000000
χ41444444-41-2-41-211-2-200001-222-2221000000000000222200-1-100-2-2000000-1-1-1-10000001100
χ42444444-41-2-41-211-2-200001-222-2221000000000000-2-2-2-200-1-100220000001111000000-1-100
χ43444444-4-21-4-21-2-2112222-21-1-11-1-1-200002-2-22-2-2-1-10000-1-1220000-111-11100000000000000
χ44444444-4-21-4-21-2-211-2-2-2-2-21-1-11-1-1-20000-222-222110000112200001-1-11-1-100000000000000
χ454444-4-40-210-21-2-21122222-13-3-13-320000-22-2-22-2-1-10000-1-10000001-111-1100000000000000
χ464444-4-40-210-21-2-21122222-1-33-1-3320000-2-22-2-22-1-10000-1-100000011-111-100000000000000
χ474444-4-40-210-21-2-211-2-2-2-22-13-3-13-3200002-222-2211000011000000-11-1-11-100000000000000
χ484444-4-40-210-21-2-211-2-2-2-22-1-33-1-332000022-222-211000011000000-1-11-1-1100000000000000
χ4944-4-44-40-210-2122-1-122-2-2-213-3-1-332000022-2-2-22-1-1000011000000-1-1111-100000000000000
χ5044-4-44-40-210-2122-1-122-2-2-21-33-13-3200002-22-22-2-1-1000011000000-11-11-1100000000000000
χ5144-4-44-40-210-2122-1-1-2-222-213-3-1-3320000-2-2222-2110000-1-100000011-1-1-1100000000000000
χ5244-4-44-40-210-2122-1-1-2-222-21-33-13-320000-22-22-22110000-1-10000001-11-11-100000000000000
χ5344-4-4-4441-2-41-2-1-1220000-12-2-2-222100000000000022-2-2001-1002-2000000-1-111000000-1100
χ5444-4-4-4441-2-41-2-1-1220000-12-2-2-2221000000000000-2-222001-100-2200000011-1-10000001-100
χ5544-4-4-444-21-4-2122-1-122-2-22-1111-1-1-20000-2222-2-2-1-1000011-2200001-1-1-11100000000000000
χ5644-4-4-444-21-4-2122-1-1-2-2222-1111-1-1-200002-2-2-222110000-1-1-220000-1111-1-100000000000000
χ5744-4-4-44-41-241-2-1-1220000-1222-2-2-2100000000000022-2-200-1100-22000000-1-1110000001-100
χ5844-4-4-44-41-241-2-1-1220000-1222-2-2-21000000000000-2-22200-11002-200000011-1-1000000-1100
χ5944-4-4-44-4-214-2122-1-122-2-22-1-1-1111-20000-2-2-2222-1-10000112-20000111-1-1-100000000000000
χ6044-4-4-44-4-214-2122-1-1-2-2222-1-1-1111-20000222-2-2-2110000-1-12-20000-1-1-111100000000000000
χ614-44i−4i000440-4-44i−4i4i−4i000000000000-44−4i4i0000000000000000000000000000000000000000
χ624-4−4i4i000440-4-4−4i4i−4i4i000000000000-444i−4i0000000000000000000000000000000000000000
χ638888-8-802-402-422-4-40000-2400400-200000000000000000000000000000000000000000000
χ6488-8-88-802-402-4-2-24400002-400400-200000000000000000000000000000000000000000000
χ658-88i−8i0002-40-242i−2i−4i4i00000000000000000000000022−222i2−2i200000000000000−22−i2i20000000000
χ668-88i−8i0002-40-242i−2i−4i4i000000000000000000000000−2222−2i22i2000000000000002−2i2−i20000000000
χ678-88i−8i000-4204-2−4i4i2i−2i4-44i−4i000000000000000000-220000−2i2i00000000000000000000000000
χ688-88i−8i000-4204-2−4i4i2i−2i-44−4i4i0000000000000000002-200002i−2i00000000000000000000000000
χ698-8−8i8i0002-40-24−2i2i4i−4i00000000000000000000000022−22−2i22i200000000000000−22i2−i20000000000
χ708-8−8i8i0002-40-24−2i2i4i−4i000000000000000000000000−22222i2−2i2000000000000002−2−i2i20000000000
χ718-8−8i8i000-4204-24i−4i−2i2i4-4−4i4i000000000000000000-2200002i−2i00000000000000000000000000
χ728-8−8i8i000-4204-24i−4i−2i2i-444i−4i0000000000000000002-20000−2i2i00000000000000000000000000

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