Finite Group Databasebeta

← Group #11886805

Character table — Group #11886805

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222224444444444444446666888888888888121212121212121212121212121216161616161616242424242424242436363636484848487272
order1223344666634466661212121212121212888824121212121212121212122244882424242424242424666612121224668812122244612242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111111111-11-11111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-1-1-11-11-1
χ4111111111111111111111111111111-1-1-1-111111111-11-111111111111-1-1-1-1-1-1-1-1-1-11-11-11-11-11-1-1-11-11
χ511111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-1-11-11111-1-11
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-111-11-111-111-1
χ9111111111111-1-11111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1111-11-11-11111-1-1-1-11111-1-1-11-11-1-111-111111-1-11-1-1
χ10111111111111-1-11111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-111-11-111-11111-1-1-1-11111-1-1-11-1-111-1-11-1-1-1-11-11-111
χ11111111111111-1-11111-1-1-1-1111111-1-1-1111-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1111-1111-1-1111-11-1-11-1-1-11
χ12111111111111-1-11111-1-1-1-1111111-1-1-1111-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-1-1-1111-11-1-111-1-1-11-11-11111-1
χ13111111111111-1-11111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1111-11-1-11-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11-1111
χ14111111111111-1-11111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-111-11-11-11-1-1-1-111111111-1-1-1-11-111-1-111111-111-1-1-1
χ15111111111111-1-11111-1-1-1-11111-1-111-1111-1-1-1-1-1-1111111-11-1-1-1-11111-1-1-1-11111-111-1-111-11-111-1-1-11-1
χ16111111111111-1-11111-1-1-1-11111-1-111-1111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-111-1-11-11-11-111-11
χ172222-122222-1-122-1-1-1-1222222-1-1000022-1-1-1-1-1-1-1-1-1-1222200000000002-1-1-12-1-100-1-122-1-1000000-1-100
χ182222-122222-1-122-1-1-1-1222222-1-1000022-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000002-1-1-12-1-10011-2-2110000001100
χ192222-122222-1-122-1-1-1-1222222-1-10000-2-211-1-1-1-1-1-1-1-12-22-20000000000-2111-21100-112-2-11000000-1100
χ202222-122222-1-122-1-1-1-1222222-1-10000-2-211-1-1-1-1-1-1-1-1-22-220000000000-2111-211001-1-221-10000001-100
χ212222-122222-1-1-2-2-1-1-1-1-2-2-2-222-1-100002-211111111-1-12-22-200000000002-1-1-1-21100-11-22-110000001-100
χ222222-122222-1-1-2-2-1-1-1-1-2-2-2-222-1-100002-211111111-1-1-22-2200000000002-1-1-1-211001-12-21-1000000-1100
χ232222-122222-1-1-2-2-1-1-1-1-2-2-2-222-1-10000-22-1-1111111-1-122220000000000-21112-1-100-1-1-2-2-1-10000001100
χ242222-122222-1-1-2-2-1-1-1-1-2-2-2-222-1-10000-22-1-1111111-1-1-2-2-2-20000000000-21112-1-100112211000000-1-100
χ25222-1222-1-1-12-1222-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1-12-1-1-1-1-1220000000000-1-10000
χ26222-1222-1-1-12-1222-1-1-1-1-1-1-1-1-1222222-2-2-2-222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-11-211111-2-20000000000110000
χ27222-1222-1-1-12-1222-1-1-1-1-1-1-1-1-122-2-2-2-2222222-1-1-1-1-1-10000-2-211111111-12-1-1-1-1-1-2-20000000000110000
χ28222-1222-1-1-12-1222-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-222-1-1-1-1-1-10000-2-2111111111-211111220000000000-1-10000
χ29222-1222-1-1-12-1-2-22-1-1-11111-1-12222-2-22-2-2-2-2-21111-1-100002-2-1-1-1-11111-12-1-11112-20000000000-110000
χ30222-1222-1-1-12-1-2-22-1-1-11111-1-12222-2-2-2222-2-21111-1-100002-2-1-1-1-111111-211-1-1-1-2200000000001-10000
χ31222-1222-1-1-12-1-2-22-1-1-11111-1-122-2-2222-2-2-2-2-21111-1-10000-221111-1-1-1-1-12-1-1111-2200000000001-10000
χ32222-1222-1-1-12-1-2-22-1-1-11111-1-122-2-222-2222-2-21111-1-10000-221111-1-1-1-11-211-1-1-12-20000000000-110000
χ3322-2222-2-2-222200-2-2-2200002-22-2002200000000002-2020-20-2000022-2-200000000002000-20-202000000
χ3422-2222-2-2-222200-2-2-2200002-22-2002200000000002-20-2020-2000022-2-20000000000-20002020-2000000
χ3522-2222-2-2-222200-2-2-2200002-22-200-2-200000000002-2020-2020000-2-22200000000002000-2020-2000000
χ3622-2222-2-2-222200-2-2-2200002-22-200-2-200000000002-20-202020000-2-2220000000000-200020-202000000
χ3722-222-22-2-222200-2-2-220000-22-2222000000000000-2220-20-2022-2-200000000000002000-2020-20000000
χ3822-222-22-2-222200-2-2-220000-22-2222000000000000-22-2020-2022-2-20000000000000-200020-2020000000
χ3922-222-22-2-222200-2-2-220000-22-22-2-2000000000000-2220-2020-2-22200000000000002000-20-2020000000
χ4022-222-22-2-222200-2-2-220000-22-22-2-2000000000000-22-202020-2-2220000000000000-20002020-20000000
χ4144444-4-4444440044440000-4-4-4-400000000000000-4-4000000000000000000000000000000000000000
χ424444-2-4-4444-2-200-2-2-2-20000-4-422000000−2i32i3000000220000000000000000000−2i32i3000000000000000000
χ434444-2-4-4444-2-200-2-2-2-20000-4-4220000002i3−2i30000002200000000000000000002i3−2i3000000000000000000
χ44444-24-4-4-2-2-24-2004-2-2-2−2i3−2i32i32i322-4-40000000000−2i3−2i32i32i322000000000000000000000000000000000000000
χ45444-24-4-4-2-2-24-2004-2-2-22i32i3−2i3−2i322-4-400000000002i32i3−2i3−2i322000000000000000000000000000000000000000
χ46444-2-244-2-2-2-2144-2111-2-2-2-2-2-2-2-2000044-2-2-2-211111100000000000000-2-211-211000000000000000000
χ47444-2-244-2-2-2-2144-2111-2-2-2-2-2-2-2-20000-4-422-2-21111110000000000000022-1-12-1-1000000000000000000
χ48444-2-244-2-2-2-21-4-4-21112222-2-2-2-200004-42222-1-1-1-11100000000000000-2-2112-1-1000000000000000000
χ49444-2-244-2-2-2-21-4-4-21112222-2-2-2-20000-44-2-222-1-1-1-1110000000000000022-1-1-211000000000000000000
χ50444-2-2-4-4-2-2-2-2100-2111−2i3−2i32i32i32222000000−2i32i300i3i3−i3−i3-1-100000000000000003-30i3−i3000000000000000000
χ51444-2-2-4-4-2-2-2-2100-2111−2i3−2i32i32i322220000002i3−2i300i3i3−i3−i3-1-10000000000000000-330−i3i3000000000000000000
χ52444-2-2-4-4-2-2-2-2100-21112i32i3−2i3−2i32222000000−2i32i300−i3−i3i3i3-1-10000000000000000-330i3−i3000000000000000000
χ53444-2-2-4-4-2-2-2-2100-21112i32i3−2i3−2i322220000002i3−2i300−i3−i3i3i3-1-100000000000000003-30−i3i3000000000000000000
χ5444-44-24-4-4-44-2-200222-200004-4-2200000000000000-22040-400000000000000000000-200020000000000
χ5544-44-24-4-4-44-2-200222-200004-4-2200000000000000-220-404000000000000000000002000-20000000000
χ5644-44-2-44-4-44-2-200222-20000-442-2000000000000002-240-400000000000000000000-2000200000000000
χ5744-44-2-44-4-44-2-200222-20000-442-2000000000000002-2-404000000000000000000002000-200000000000
χ5844-4-244-422-24-200-422-20000-224-400440000000000-2200000-40000-2-2220000000000000000000000000
χ5944-4-244-422-24-200-422-20000-224-400-4-40000000000-22000004000022-2-20000000000000000000000000
χ6044-4-24-4422-24-200-422-200002-2-44440000000000002-20000-40-2-22200000000000000000000000000000
χ6144-4-24-4422-24-200-422-200002-2-44-4-40000000000002-200004022-2-200000000000000000000000000000
χ624-40440000-4-442i−2i000-42i−2i2i−2i000022−22−2i22i200002i−2i2i−2i2i−2i0000000022−2200−2i22i2000000000000000000000000000
χ634-40440000-4-442i−2i000-42i−2i2i−2i0000−22222i2−2i200002i−2i2i−2i2i−2i00000000−2222002i2−2i2000000000000000000000000000
χ644-40440000-4-44−2i2i000-4−2i2i−2i2i000022−222i2−2i20000−2i2i−2i2i−2i2i0000000022−22002i2−2i2000000000000000000000000000
χ654-40440000-4-44−2i2i000-4−2i2i−2i2i0000−2222−2i22i20000−2i2i−2i2i−2i2i00000000−222200−2i22i2000000000000000000000000000
χ664-40-2400−2i32i32-4-22i−2i0−2i32i322ζ14−2ζ142ζ22−2ζ22000022−22−2i22i200002i−2i2ζ14−2ζ142ζ22−2ζ2200000000−22i6−i6i2−i26−60000000000000000000000000
χ674-40-2400−2i32i32-4-22i−2i0−2i32i322ζ14−2ζ142ζ22−2ζ220000−22222i2−2i200002i−2i2ζ14−2ζ142ζ22−2ζ22000000002−2−i6i6−i2i2−660000000000000000000000000
χ684-40-2400−2i32i32-4-2−2i2i0−2i32i32−2ζ142ζ14−2ζ222ζ22000022−222i2−2i20000−2i2i−2ζ142ζ14−2ζ222ζ2200000000−22i6−i6−i2i2−660000000000000000000000000
χ694-40-2400−2i32i32-4-2−2i2i0−2i32i32−2ζ142ζ14−2ζ222ζ220000−2222−2i22i20000−2i2i−2ζ142ζ14−2ζ222ζ22000000002−2−i6i6i2−i26−60000000000000000000000000
χ704-40-24002i3−2i32-4-22i−2i02i3−2i322ζ22−2ζ222ζ14−2ζ14000022−22−2i22i200002i−2i2ζ22−2ζ222ζ14−2ζ1400000000−22−i6i6i2−i2−660000000000000000000000000
χ714-40-24002i3−2i32-4-22i−2i02i3−2i322ζ22−2ζ222ζ14−2ζ140000−22222i2−2i200002i−2i2ζ22−2ζ222ζ14−2ζ14000000002−2i6−i6−i2i26−60000000000000000000000000
χ724-40-24002i3−2i32-4-2−2i2i02i3−2i32−2ζ222ζ22−2ζ142ζ14000022−222i2−2i20000−2i2i−2ζ222ζ22−2ζ142ζ1400000000−22−i6i6−i2i26−60000000000000000000000000
χ734-40-24002i3−2i32-4-2−2i2i02i3−2i32−2ζ222ζ22−2ζ142ζ140000−2222−2i22i20000−2i2i−2ζ222ζ22−2ζ142ζ14000000002−2i6−i6i2−i2−660000000000000000000000000
χ7488-8-4-48-844-4-42004-2-220000-44-44000000000000002-2000000000000000000000000000000000000000
χ7588-8-4-4-8844-4-42004-2-2200004-44-400000000000000-22000000000000000000000000000000000000000
χ768-808-40000-84-44i−4i00044i−4i4i−4i000000000000−2i2i−2i2i−2i2i00000000000000000000000000000000000000000
χ778-808-40000-84-4−4i4i0004−4i4i−4i4i0000000000002i−2i2i−2i2i−2i00000000000000000000000000000000000000000
χ788-80-4-400−4i34i34424i−4i02i3−2i3-24ζ14−4ζ144ζ22−4ζ22000000000000−2i2i−2ζ142ζ14−2ζ222ζ2200000000000000000000000000000000000000000
χ798-80-4-400−4i34i3442−4i4i02i3−2i3-2−4ζ144ζ14−4ζ224ζ220000000000002i−2i2ζ14−2ζ142ζ22−2ζ2200000000000000000000000000000000000000000
χ808-80-4-4004i3−4i34424i−4i0−2i32i3-24ζ22−4ζ224ζ14−4ζ14000000000000−2i2i−2ζ222ζ22−2ζ142ζ1400000000000000000000000000000000000000000
χ818-80-4-4004i3−4i3442−4i4i0−2i32i3-2−4ζ224ζ22−4ζ144ζ140000000000002i−2i2ζ22−2ζ222ζ14−2ζ1400000000000000000000000000000000000000000

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