Finite Group Databasebeta

← Group #11884661

Character table — Group #11884661

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122444444444488888888121212121212121216161818242424242424242424242424242424243636363636363648487272
order12224433446666661212121212121212224466661212442444446612121212121212122248888121288
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111-11-111-1-1-1111111-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-111111-11-1-1111-1-1-1-1-1-111111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111
χ511111111-1-1111111-1-11111-1-111111111-1-1111-1-11-1-111-1-111-1-1111-1-11111-1-1-1-1
χ611111111-1-1111111-1-11111-1-111-1-11111-1-111-1-111-11-1-1-1-111-1-1-1-11-1-1-1-1-1-11111
χ711111111-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11-11111-1-111111-1-1-1-1-1-1-1-111
χ811111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-111-1-111-1-11-1-1111111-1-1
χ91111-1-1111-111111111-1-1-1-1-1-1111111111-111-111-1-1-1-1-111-1-1-1-111-1-1111-1-11-11-1
χ101111-1-1111-111111111-1-1-1-1-1-111-1-111111-11111-1-1-111111-1-1-1-1-1-1-1-11-1-111-11-11
χ111111-1-1111-111111111-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1111-1-1-1-1-1111111-1-11-1-1111-1-11
χ121111-1-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111111-1-11111-1-1-1-1111-1-1-111-1
χ131111-1-111-11111111-1-1-1-1-1-11111111111-1111-1-1-1-111-1-1-1-1-1-11111-11-111-1-1-11-11
χ141111-1-111-11111111-1-1-1-1-1-11111-1-11111-11111-11-11-111-1-1-1-111-1-1-11-1-1-1111-11-1
χ151111-1-111-11111111-1-1-1-1-1-111-1-111-1-1-1-1-1111-11-11-11-1-11111-1-111-11-1-1-111-111-1
χ161111-1-111-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-11-111-1-11-1-11
χ172222222222222222222222220000000022-2-20000000000000000-2-2-200000000
χ1822222222-2-2222222-2-22222-2-200000000-2-2-2-20000000000000000-22200000000
χ192222-2-2222-222222222-2-2-2-2-2-2000000002-2-2-2000000000000000022-200000000
χ202222-2-222-22222222-2-2-2-2-2-22200000000-22-2-200000000000000002-2200000000
χ212-2-22002200-2-2-2-222000000002-22-222-2-200-22000000000000002-20002-2000000
χ222-2-22002200-2-2-2-222000000002-2-2222-2-200-2200000000000000-22000-22000000
χ232-2-22002200-2-2-2-22200000000-222-2-2-22200-22000000000000002-2000-22000000
χ242-2-22002200-2-2-2-22200000000-22-22-2-22200-2200000000000000-220002-2000000
χ254444441-2441-21-21-21111-2-2112200-1-1-1-1-2-20002022000-1-1-1-1-1-10000000000000
χ264444441-2441-21-21-21111-2-211-2-2001111-2-2000-20-2-20001111110000000000000
χ274444441-2-4-41-21-21-2-1-111-2-2-1-12200-1-1-1-122000-202-200011-1-1110000000000000
χ284444441-2-4-41-21-21-2-1-111-2-2-1-1-2-20011112200020-22000-1-111-1-10000000000000
χ29444444-2144-21-21-21-2-2-2-211-2-2002200001100202002-1-1000000-1-10000000-1-100
χ30444444-2144-21-21-21-2-2-2-211-2-200-2-200001100-20-200-2110000001100000001100
χ31444444-21-4-4-21-21-2122-2-2112200220000-1-10020-200-2-1-1000000-1-100000001100
χ32444444-21-4-4-21-21-2122-2-2112200-2-20000-1-100-20200211000000110000000-1-100
χ334444-4-41-24-41-21-21-211-1-122-1-12200-1-1-1-1-2200020-2-2000-1-111110000000000000
χ344444-4-41-24-41-21-21-211-1-122-1-1-2-2001111-22000-202200011-1-1-1-10000000000000
χ354444-4-41-2-441-21-21-2-1-1-1-122112200-1-1-1-12-2000-20-220001111-1-10000000000000
χ364444-4-41-2-441-21-21-2-1-1-1-12211-2-20011112-2000202-2000-1-1-1-1110000000000000
χ374444-4-4-214-4-21-21-21-2-222-1-122002200001-100-20200-211000000-1-10000000-1100
χ384444-4-4-214-4-21-21-21-2-222-1-12200-2-200001-10020-2002-1-10000001100000001-100
χ394444-4-4-21-44-21-21-212222-1-1-2-200220000-1100-20-200211000000-1-100000001-100
χ404444-4-4-21-44-21-21-212222-1-1-2-200-2-20000-110020200-2-1-1000000110000000-1100
χ4144-4-400440044-4-4-4-40000000000000000000000000000000000000000022−220000
χ4244-4-400440044-4-4-4-400000000000000000000000000000000000000000−22220000
χ434-44-44i−4i1-200-121-2-123-3i−i2i−2i3i−3i0000−i3i3−i3i3000000000000−i3i33−33−30000000000000
χ444-44-44i−4i1-200-121-2-123-3i−i2i−2i3i−3i0000i3−i3i3−i3000000000000i3−i3−33−330000000000000
χ454-44-44i−4i1-200-121-2-12-33i−i2i−2i−3i3i0000−i3i3−i3i3000000000000i3−i33−3−330000000000000
χ464-44-44i−4i1-200-121-2-12-33i−i2i−2i−3i3i0000i3−i3i3−i3000000000000−i3i3−333−30000000000000
χ474-44-44i−4i4400-4-444-4-4004i−4i−4i4i00000000000000000000000000000000000000000
χ484-44-4−4i4i1-200-121-2-123-3−ii−2i2i−3i3i0000−i3i3−i3i3000000000000−i3i3−33−330000000000000
χ494-44-4−4i4i1-200-121-2-123-3−ii−2i2i−3i3i0000i3−i3i3−i3000000000000i3−i33−33−30000000000000
χ504-44-4−4i4i1-200-121-2-12-33−ii−2i2i3i−3i0000−i3i3−i3i3000000000000i3−i3−333−30000000000000
χ514-44-4−4i4i1-200-121-2-12-33−ii−2i2i3i−3i0000i3−i3i3−i3000000000000−i3i33−3−330000000000000
χ524-44-4−4i4i4400-4-444-4-400−4i4i4i−4i00000000000000000000000000000000000000000
χ534-4-44004400-4-4-4-4440000000000000000004-4000000000000000000000000000
χ5488-8-8002-4002-4-24-24000000000000−2i32i32i3−2i30000000000000000000000000000000
χ5588-8-8002-4002-4-24-240000000000002i3−2i3−2i32i30000000000000000000000000000000
χ5688-8-800-4200-424-24-200000000000000000000000000−2i32i30000000000000000000
χ5788-8-800-4200-424-24-2000000000000000000000000002i3−2i30000000000000000000
χ588-88-88i−8i-42004-2-424-200−4i4i−2i2i00000000000000000000000000000000000000000
χ598-88-8−8i8i-42004-2-424-2004i−4i2i−2i00000000000000000000000000000000000000000
χ608-8-88002-400-24-242-4000000004-400-2-2220000000000000000000000000000000
χ618-8-88002-400-24-242-400000000-440022-2-20000000000000000000000000000000
χ628-8-8800-42004-24-2-4200000000004-40000000000000000000000-2200000000000
χ638-8-8800-42004-24-2-420000000000-4400000000000000000000002-200000000000

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