Finite Group Databasebeta

← Group #11886822

Character table — Group #11886822

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11222222222224444444444444444668888888881212121212121212121212121216161616161616162424242424242424243636363636364848484872
order12233446666883666681212121224242424242488221212242424242424448121212122424242466666666446888122424222444121224248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1
χ31111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-11-1-1-1-1-1-11
χ41111111111111111111111111111111-1-11111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-111-1-111-1
χ511111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111-1-1-1-1-1-1-1-111-1
χ611111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ711111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-111-11111-1-1-1
χ811111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11-1-11-1-111111
χ911111111111-1-111111-11111-1-1-1-1-1-1111-111-1-1-1-1-111-1-11-1-1-1-111111-11-111-1-11-111-1-11-1-111-111-11-11-1-1
χ1011111111111-1-111111-11111-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-1-11-1-1-1-111111-11-111-1-11-1-1-111-111-1-11-1-111-1-111
χ1111111111111-1-111111-11111-1-1-1-1-1-111-1111-1-1-1-1-111-1-11-1-1-1-11111-11-11-1-111-111-11-11-1-11-111-11-11-11-1
χ1211111111111-1-111111-11111-1-1-1-1-1-111-1111-1-1-1-1-1-1-1-1-11-1-1-1-11111-11-11-1-111-11-11-11-111-11-1-11-1-111-11
χ1311111111111-1-111111-11111-1-1-1-1-1-1-1-11-111-1-1-1-1-11111-11111-1-1-1-11-11-111-1-1-1111-1-11-1-1-1-11-1-11-111-11
χ1411111111111-1-111111-11111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-111-11111-1-1-1-11-11-111-1-1-11-1-111-11111-111-1-11-11-1
χ1511111111111-1-111111-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-11111-1-1-1-1-11-11-1-1111-11-11-11-1-1-11-1-11-11-1-111
χ1611111111111-1-111111-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-11111-1-1-1-1-11-11-1-1111-1-11-11-1111-111-111-11-1-1
χ172222-12222-1222-1-1-1-1-1222-1-12222-1-10022-1-1-1-1-1-1-1220000000000022-1-1-1-1-1-100-1222-1-1-100000000-1-10
χ182222-12222-1222-1-1-1-1-1222-1-12222-1-10022-1-1-1-1-1-1-1-2-20000000000022-1-1-1-1-1-1001-2-2-211100000000110
χ192222-12222-1222-1-1-1-1-1222-1-12222-1-100-2-2-1-1-1-1-1-1-12200000000000-2-211111100-1-2-22-1-1-100000000110
χ202222-12222-1222-1-1-1-1-1222-1-12222-1-100-2-2-1-1-1-1-1-1-1-2-200000000000-2-211111100122-211100000000-1-10
χ212222-12222-12-2-2-1-1-1-1-1-222-1-1-2-2-2-211002-2-1-11111122000000000002-2-11-1-11100-12-2-2-11100000000-110
χ222222-12222-12-2-2-1-1-1-1-1-222-1-1-2-2-2-211002-2-1-111111-2-2000000000002-2-11-1-111001-2221-1-1000000001-10
χ232222-12222-12-2-2-1-1-1-1-1-222-1-1-2-2-2-21100-22-1-1111112200000000000-221-111-1-100-1-22-2-111000000001-10
χ242222-12222-12-2-2-1-1-1-1-1-222-1-1-2-2-2-21100-22-1-111111-2-200000000000-221-111-1-10012-221-1-100000000-110
χ25222-1222-1-12-122-12-1-1-12-1-122-1-1-1-1222222-1-12-1-1-1-100222-1-1-1-1-1-1-1-1-1-122-1-1-1-1220000000000000-1-1000
χ26222-1222-1-12-122-12-1-1-12-1-122-1-1-1-12222-2-2-1-12-1-1-1-100222-1-1-1-1-1-1-1-111-2-21111-2-2000000000000011000
χ27222-1222-1-12-122-12-1-1-12-1-122-1-1-1-122-2-222-1-12-1-1-1-100-2-2-211111111-1-122-1-1-1-1-2-2000000000000011000
χ28222-1222-1-12-122-12-1-1-12-1-122-1-1-1-122-2-2-2-2-1-12-1-1-1-100-2-2-21111111111-2-21111220000000000000-1-1000
χ29222-1222-1-12-1-2-2-12-1-1-1-2-1-1221111-2-2222-2-1-1-2111100-2-221111-1-1-1-1-112-2-1-1112-20000000000000-11000
χ30222-1222-1-12-1-2-2-12-1-1-1-2-1-1221111-2-222-22-1-1-2111100-2-221111-1-1-1-11-1-2211-1-1-2200000000000001-1000
χ31222-1222-1-12-1-2-2-12-1-1-1-2-1-1221111-2-2-2-22-2-1-1-211110022-2-1-1-1-11111-112-2-1-111-2200000000000001-1000
χ32222-1222-1-12-1-2-2-12-1-1-1-2-1-1221111-2-2-2-2-22-1-1-211110022-2-1-1-1-111111-1-2211-1-12-20000000000000-11000
χ3322-2222-2-2-222002-2-2-220-22-2200000022002-2000002-200-2000022-2-200000000002000-200-20020000000
χ3422-2222-2-2-222002-2-2-220-22-2200000022002-200000-2200-2000022-2-20000000000-2000200200-20000000
χ3522-2222-2-2-222002-2-2-220-22-22000000-2-2002-2000002-20020000-2-22200000000002000-200200-20000000
χ3622-2222-2-2-222002-2-2-220-22-22000000-2-2002-200000-220020000-2-2220000000000-2000200-20020000000
χ3722-222-22-2-222222-2-2-22-22-22-222-2-2220000-22-222-2-20000000000000000000000000000000220-2-200000
χ3822-222-22-2-222222-2-2-22-22-22-222-2-2220000-22-222-2-20000000000000000000000000000000-2-202200000
χ3922-222-22-2-222-2-22-2-2-2222-22-2-2-222-2-20000-222-2-22200000000000000000000000000000002-20-2200000
χ4022-222-22-2-222-2-22-2-2-2222-22-2-2-222-2-20000-222-2-2220000000000000000000000000000000-2202-200000
χ4144444-4-4444400444440-4-4-4-40000000000-4-40000000000000000000000000000000000000000000000
χ424444-2-4-444-2400-2-2-2-2-20-4-42200000000002200000000000000000000000000000000023−2300000000000
χ434444-2-4-444-2400-2-2-2-2-20-4-422000000000022000000000000000000000000000000000−232300000000000
χ44444-24-4-4-2-24-200-24-2-2-2022-4-40000000000220000000000−2i3−2i32i32i300000000000000000000000000000000
χ45444-24-4-4-2-24-200-24-2-2-2022-4-400000000002200000000002i32i3−2i3−2i300000000000000000000000000000000
χ46444-2-244-2-2-2-2441-21114-2-2-2-2-2-2-2-2-2-2004411-211110000000000000-2-2-2-2111100000000000000000000
χ47444-2-244-2-2-2-2441-21114-2-2-2-2-2-2-2-2-2-200-4-411-2111100000000000002222-1-1-1-100000000000000000000
χ48444-2-244-2-2-2-2-4-41-2111-4-2-2-2-2222222004-4112-1-1-1-10000000000000-22-2211-1-100000000000000000000
χ49444-2-244-2-2-2-2-4-41-2111-4-2-2-2-222222200-44112-1-1-1-100000000000002-22-2-1-11100000000000000000000
χ5044-44-24-4-4-4-2400-2222-20-442-20000000000-22000004-4000000000000000000000-200020000000000000
χ5144-44-24-4-4-4-2400-2222-20-442-20000000000-2200000-440000000000000000000002000-20000000000000
χ5244-44-2-44-4-4-2444-2222-2-44-4-2244-4-4-2-200002-22-2-22200000000000000000000000000000000000000000
χ5344-44-2-44-4-4-24-4-4-2222-244-4-22-4-4442200002-2-222-2-200000000000000000000000000000000000000000
χ5444-4-244-4224-200-2-422-202-2-440000004400-22000000000-40000-2-2220000000000000000000000000000
χ5544-4-244-4224-200-2-422-202-2-44000000-4-400-220000000004000022-2-20000000000000000000000000000
χ5644-4-24-44224-244-2-422-2-4-224-4-2-2224400002-2-4-2-22200000000000000000000000000000000000000000
χ5744-4-24-44224-2-4-4-2-422-24-224-422-2-2-4-400002-2422-2-200000000000000000000000000000000000000000
χ5844-4-2-2-4422-2-24412-1-11-4-22-22-2-222-2-20000-11211-1-1000000000000000003-33-300000000000000000000
χ5944-4-2-2-4422-2-24412-1-11-4-22-22-2-222-2-20000-11211-1-100000000000000000-33-3300000000000000000000
χ6044-4-2-2-4422-2-2-4-412-1-114-22-2222-2-2220000-11-2-1-111000000000000000003-3-3300000000000000000000
χ6144-4-2-2-4422-2-2-4-412-1-114-22-2222-2-2220000-11-2-1-11100000000000000000-333-300000000000000000000
χ624-40440000-4-422−224000-40000022−220022−22−2i22i20000022−2200002i−2i02i−2i2i−2i−2i22i2000000000000000000000000000000
χ634-40440000-4-422−224000-40000022−220022−222i2−2i20000022−220000−2i2i0−2i2i−2i2i2i2−2i2000000000000000000000000000000
χ644-40440000-4-4−22224000-400000−222200−2222−2i22i200000−22220000−2i2i0−2i2i−2i2i−2i22i2000000000000000000000000000000
χ654-40440000-4-4−22224000-400000−222200−22222i2−2i200000−222200002i−2i02i−2i2i−2i2i2−2i2000000000000000000000000000000
χ664-40-2400−2i32i3-4222−22-20−2i32i3200000−22i6−i622−22−2i22i200000−22i6−i6002i−2i02ζ14−2ζ142ζ22−2ζ22i2−i26−60000000000000000000000000000
χ674-40-2400−2i32i3-4222−22-20−2i32i3200000−22i6−i622−222i2−2i200000−22i6−i600−2i2i0−2ζ142ζ14−2ζ222ζ22−i2i2−660000000000000000000000000000
χ684-40-2400−2i32i3-42−2222-20−2i32i32000002−2−i6i6−2222−2i22i2000002−2−i6i600−2i2i0−2ζ142ζ14−2ζ222ζ22i2−i26−60000000000000000000000000000
χ694-40-2400−2i32i3-42−2222-20−2i32i32000002−2−i6i6−22222i2−2i2000002−2−i6i6002i−2i02ζ14−2ζ142ζ22−2ζ22−i2i2−660000000000000000000000000000
χ704-40-24002i3−2i3-4222−22-202i3−2i3200000−22−i6i622−22−2i22i200000−22−i6i6002i−2i02ζ22−2ζ222ζ14−2ζ14i2−i2−660000000000000000000000000000
χ714-40-24002i3−2i3-4222−22-202i3−2i3200000−22−i6i622−222i2−2i200000−22−i6i600−2i2i0−2ζ222ζ22−2ζ142ζ14−i2i26−60000000000000000000000000000
χ724-40-24002i3−2i3-42−2222-202i3−2i32000002−2i6−i6−2222−2i22i2000002−2i6−i600−2i2i0−2ζ222ζ22−2ζ142ζ14i2−i2−660000000000000000000000000000
χ734-40-24002i3−2i3-42−2222-202i3−2i32000002−2i6−i6−22222i2−2i2000002−2i6−i6002i−2i02ζ22−2ζ222ζ14−2ζ14−i2i26−60000000000000000000000000000
χ74888-4-4-8-8-4-4-4-4002-4222044440000000000-2-20000000000000000000000000000000000000000000000
χ7588-8-4-48-844-4-40024-2-2204-44-400000000002-20000000000000000000000000000000000000000000000
χ768-808-400004-842−42-400040000042−4200−22220000000−22220000000000000000000000000000000000000000000
χ778-808-400004-8−4242-4000400000−42420022−22000000022−220000000000000000000000000000000000000000000
χ788-80-4-400−4i34i34442−42202i3−2i3-200000−22222i6−2i6−222200000002−2−i6i600000000000000000000000000000000000000000
χ798-80-4-400−4i34i344−4242202i3−2i3-20000022−22−2i62i622−220000000−22i6−i600000000000000000000000000000000000000000
χ808-80-4-4004i3−4i34442−4220−2i32i3-200000−2222−2i62i6−222200000002−2i6−i600000000000000000000000000000000000000000
χ818-80-4-4004i3−4i344−424220−2i32i3-20000022−222i6−2i622−220000000−22−i6i600000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.