Finite Group Databasebeta

← Group #11886809

Character table — Group #11886809

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222224444444466888888888812121212121212121212121616161616161616161618182424242424242424242424243636364848487272
order122334466366612121212884688121212122424222444448242412121224242424242424882466681212121212242486122428
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11-1-1-1-11111111111111-1-1-111-1-11-1-11-1-11-1-1-1-111-1-1
χ3111111111111111111111-1-11111-1-1-111-111-1-1111111-1-1-1-1-1-1-1-1-1-11-111-111-1-1-1111-1-11-1-11
χ4111111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1111-11-1
χ51111111111111111111-111-1-1-1111111-111-111111-1-1-11-1-111-1-111-1-111-1-11-11111-1-11-1-1-1-11
χ61111111111111111111-111-1-1-111111-111-11-1-1111-1-1-11-1-111-1-1-1-11-11-11-1-111-1-1111-11-1-11-1
χ71111111111111111111-11-11-1-111-1-1-11-1-11-1-1-1111-1-1-1-111-1-111-1-11-1-11-111-1-1-1-11-1-1-11-1111
χ81111111111111111111-11-11-1-111-1-1-1-11-1-1111111-1-1-1-111-1-11111-1-1-1-111-11-1111111-1-11-1-1
χ911111111111111111-1-11111111111-111-11111-1-1-11111111111-1-11-1-111-111-111-1-1-1-11-1-1-1-1
χ1011111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111
χ1111111111111111111-1-111-1-11111-1-1111111-1-1-1-1-1111-1-1-1-1-1-1-111-1-11111111-1-1-1-1-11-1-111-1
χ1211111111111111111-1-111-1-11111-1-11-1-11-1-111-1-1-1111-1-1-1-1-1-1-1-1-11-11-1-11-1-1111-111-11-11-11
χ1311111111111111111-1-1-111-1-1-11111-11-1-11-111-1-1-1-1-1-11-1-111-1-1-1-1-11-11-111-1-111-111-1-1111-1
χ1411111111111111111-1-1-111-1-1-11111-1-11-1-11-1-1-1-1-1-1-1-11-1-111-1-11111-1-111-11-1-1-1-1-1-11111-11
χ1511111111111111111-1-1-11-11-1-111-1-111-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-11-11-1-1-111111-1-1-1
χ1611111111111111111-1-1-11-11-1-111-1-11-111-1111-1-1-1-1-1-1-111-1-111-1-1-111-11-1-11111-1-1-1-1-11-111
χ172222-122-12-12-1-1-1-122002-122-1-1-1-122022022220002-1-1-1-12-1-1-1-100200-1-10-1-10-1-10000-10000
χ182222-122-12-12-1-1-1-122002-122-1-1-1-1220-2-20-2-2-2-20002-1-1-1-12-1-1-1-100-20011011011000010000
χ192222-122-12-12-1-1-1-122002-1-2-2-1-1-1-1-2-2022022-2-20002-1-111-2111100-200-1-10-1-1011000010000
χ202222-122-12-12-1-1-1-122002-1-2-2-1-1-1-1-2-20-2-20-2-2220002-1-111-2111100200110110-1-10000-10000
χ212222-122-12-12-1-1-1-12200-2-12-211-1-12202-202-222000-211-11-2-1-11100-200-110-110-1-1000010000
χ222222-122-12-12-1-1-1-12200-2-12-211-1-1220-220-22-2-2000-211-11-2-1-111002001-101-10110000-10000
χ232222-122-12-12-1-1-1-12200-2-1-2211-1-1-2-202-202-2-2-2000-2111-1211-1-100200-110-110110000-10000
χ242222-122-12-12-1-1-1-12200-2-1-2211-1-1-2-20-220-2222000-2111-1211-1-100-2001-101-10-1-1000010000
χ25222-12222-1-1-12-122-1-1222-12222-1-1-1-1200200002-1-1-1-1-122-1-1-1-1-10002-100200-100-10000-1-100
χ26222-12222-1-1-12-122-1-1222-1-2-222-1-111-200-200002-1-1-1-1-1-2-2111110002100-200100-10000-1100
χ27222-12222-1-1-12-122-1-122-2-12-2-2-2-1-1-1-1200200002-1-11112-21-1-111000-2-100-200-100-100001100
χ28222-12222-1-1-12-122-1-122-2-1-22-2-2-1-111-200-200002-1-1111-22-111-1-1000-2100200100-100001-100
χ29222-12222-1-1-12-122-1-1-2-22-12222-1-1-1-1-200-20000-211-1-1-122-1-1-1-1-1000-2100-200100100001100
χ30222-12222-1-1-12-122-1-1-2-22-1-2-222-1-11120020000-211-1-1-1-2-211111000-2-100200-100100001-100
χ31222-12222-1-1-12-122-1-1-2-2-2-12-2-2-2-1-1-1-1-200-20000-2111112-21-1-111000210020010010000-1-100
χ32222-12222-1-1-12-122-1-1-2-2-2-1-22-2-2-1-11120020000-211111-22-111-1-10002-100-200-10010000-1100
χ3322-2222-2222-2-222-22-2000-200002-200220-2-20000000000000000-2-2002200-20-200000200000
χ3422-2222-2222-2-222-22-2000-200002-2002-20-22000000000000000022002-20020-200000-200000
χ3522-2222-2222-2-222-22-2000-200002-200-2202-200000000000000002200-2200-20200000-200000
χ3622-2222-2222-2-222-22-2000-200002-200-2-20220000000000000000-2-200-2-20020200000200000
χ3722-222-22222-2-22-22-22220-20000-220000200-200-2220000000000000000200-2000-22-2000000
χ3822-222-22222-2-22-22-22220-20000-220000-200200-2220000000000000000-2002000-2-22000000
χ3922-222-22222-2-22-22-22-2-20-20000-220000200-2002-2-20000000000000000200-20002-22000000
χ4022-222-22222-2-22-22-22-2-20-20000-220000-2002002-2-20000000000000000-200200022-2000000
χ4144444-4-4444444-4-4-4-400040000-4-4000000000000000000000000000000000000000000000
χ424444-2-4-4-24-24-2-222-4-4000-200−2i32i32200000000000000−2i32i300000000000000000000000000000
χ434444-2-4-4-24-24-2-222-4-4000-2002i3−2i322000000000000002i3−2i300000000000000000000000000000
χ44444-24-4-44-2-2-24-2-4-422000-200002223−230000000000000000023−23000000000000000000000000
χ45444-24-4-44-2-2-24-2-4-422000-2000022−232300000000000000000−2323000000000000000000000000
χ46444-2-244-2-21-2-21-2-2-2-2004144-2-211-2-200000000000-211-2-2-211110000000000000000000000
χ47444-2-244-2-21-2-21-2-2-2-20041-4-4-2-2112200000000000-211222-1-1-1-10000000000000000000000
χ48444-2-244-2-21-2-21-2-2-2-200-414-42211-2-2000000000002-1-1-22211-1-10000000000000000000000
χ49444-2-244-2-21-2-21-2-2-2-200-41-44221122000000000002-1-12-2-2-1-1110000000000000000000000
χ50444-2-2-4-4-2-21-2-212222000100−2i32i3-1-123−23000000000000i3−i3000−333i−3i0000000000000000000000
χ51444-2-2-4-4-2-21-2-212222000100−2i32i3-1-1−2323000000000000i3−i30003−3−3i3i0000000000000000000000
χ52444-2-2-4-4-2-21-2-2122220001002i3−2i3-1-123−23000000000000−i3i3000−33−3i3i0000000000000000000000
χ53444-2-2-4-4-2-21-2-2122220001002i3−2i3-1-1−2323000000000000−i3i30003−33i−3i0000000000000000000000
χ5444-44-24-4-24-2-42-2-224-400020000-22000400-4000000000000000000000-20020000000000000
χ5544-44-24-4-24-2-42-2-224-400020000-22000-4004000000000000000000000200-20000000000000
χ5644-44-2-44-24-2-42-22-2-44000200002-20000400-4000000000000000000000-2002000000000000
χ5744-44-2-44-24-2-42-22-2-44000200002-20000-4004000000000000000000000200-2000000000000
χ5844-4-244-44-2-22-4-24-4-2200020000-2200400-4000000000000000000000-200000200000000000
χ5944-4-244-44-2-22-4-24-4-2200020000-2200-4004000000000000000000000200000-200000000000
χ6044-4-24-444-2-22-4-2-442-2440200002-20000000000-4-2-200000000000000000000000200000000
χ6144-4-24-444-2-22-4-2-442-2-4-40200002-2000000000042200000000000000000000000-200000000
χ624-404400-4-4400-4000022−2200000000000000002i−2i022−220000000000−2i22i20000000002i−2i000000000
χ634-404400-4-4400-4000022−220000000000000000−2i2i022−2200000000002i2−2i2000000000−2i2i000000000
χ644-404400-4-4400-40000−222200000000000000002i−2i0−222200000000002i2−2i20000000002i−2i000000000
χ654-404400-4-4400-40000−22220000000000000000−2i2i0−22220000000000−2i22i2000000000−2i2i000000000
χ6688-8-4-48-8-4-42442-44-44000-200002-2000000000000000000000000000000000000000000000
χ6788-8-4-4-88-4-424424-44-4000-20000-22000000000000000000000000000000000000000000000
χ688-808-4004-8-400400000000000000000000004i−4i000000000000000000000000−2i2i000000000
χ698-808-4004-8-40040000000000000000000000−4i4i0000000000000000000000002i−2i000000000
χ708-80-4800-84-4004000042−420000000000000000000−222200000000000000000000000000000000
χ718-80-4800-84-40040000−4242000000000000000000022−2200000000000000000000000000000000
χ7216-160-8-80088400-400000000000000000000000000000000000000000000000000000000000

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