Finite Group Databasebeta

← Group #11884352

Character table — Group #11884352

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122444444444488888888121212121212121216161818242424242424242424242424242424243636363636363648487272
order1222443344666666121212121212121222226666121244244444661212121212121212224888861288
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111-11-111-1-1-111-1-11111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-111111-11-1-1111-1-111-1-1-1-1111-1-1-1-111-1-1
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
χ511111111-1-1111111-1-11111-1-111111111-1-111-1-1-11-1111-1-11111-1-11-1-11111-1-1-1-1
χ611111111-1-1111111-1-11111-1-111-1-11111-1-1111-111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-11111
χ711111111-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-111-11-1-111111111-1-1111-1-1-1-1-1-1-1-111
χ811111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-111-1-1-1-1111-1-1111111-1-1
χ91111-1-1111-111111111-1-1-1-1-1-1111111111-111-111-1-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1
χ101111-1-1111-111111111-1-1-1-1-1-111-1-111111-11111-1-1-11-1-11111-1-1-1-1-1-11-1-1111-1-11
χ111111-1-1111-111111111-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1111-111-1-1-1-11111-1-11-1-111-11-11
χ121111-1-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1111-1-1-1-1111111-1-1111-1-11-11-1
χ131111-1-111-11111111-1-1-1-1-1-11111111111-11111-1-1-11-111-1-1-1-1-1-111-11-111-1-11-1-11
χ141111-1-111-11111111-1-1-1-1-1-11111-1-11111-1111-1-11-111-1-1-1-111-1-111-11-1-1-111-111-1
χ151111-1-111-11111111-1-1-1-1-1-111-1-111-1-1-1-1-111111-11-1-11111-1-111-1-1-11-1-1-1111-11-1
χ161111-1-111-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1111-11-1-1111111-1-1-11-111-1-1-11-11
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
χ212-2-22002200-2-2-2-222000000002-22-222-2-200-220000002-2000000000002-2000000
χ222-2-22002200-2-2-2-222000000002-2-2222-2-200-22000000-2200000000000-22000000
χ232-2-22002200-2-2-2-22200000000-222-2-2-22200-220000002-200000000000-22000000
χ242-2-22002200-2-2-2-22200000000-22-22-2-22200-22000000-22000000000002-2000000
χ254444441-2441-2-21-2111-2-211112200-1-1-1-1-2-20002022000-1-100-1-1-1-100000000000
χ264444441-2441-2-21-2111-2-21111-2-2001111-2-2000-20-2-20001100111100000000000
χ274444441-2-4-41-2-21-21-1-1-2-211-1-12200-1-1-1-122000-202-20001100-1-11100000000000
χ284444441-2-4-41-2-21-21-1-1-2-211-1-1-2-20011112200020-22000-1-10011-1-100000000000
χ29444444-2144-211-21-2-2-211-2-2-2-2002200001100202002-1-100-1-100000000000-1-100
χ30444444-2144-211-21-2-2-211-2-2-2-200-2-200001100-20-200-2110011000000000001100
χ31444444-21-4-4-211-21-22211-2-22200220000-1-100-20-2002-1-100-1-1000000000001100
χ32444444-21-4-4-211-21-22211-2-22200-2-20000-1-10020200-211001100000000000-1-100
χ334444-4-41-24-41-2-21-211122-1-1-1-12200-1-1-1-1-2200020-2-2000-1-100111100000000000
χ344444-4-41-24-41-2-21-211122-1-1-1-1-2-2001111-22000-20220001100-1-1-1-100000000000
χ354444-4-41-2-441-2-21-21-1-122-1-1112200-1-1-1-12-2000-20-22000110011-1-100000000000
χ364444-4-41-2-441-2-21-21-1-122-1-111-2-20011112-2000202-2000-1-100-1-11100000000000
χ374444-4-4-214-4-211-21-2-2-2-1-12222002200001-100-20200-2-1-10011000000000001-100
χ384444-4-4-214-4-211-21-2-2-2-1-1222200-2-200001-10020-20021100-1-100000000000-1100
χ394444-4-4-21-44-211-21-222-1-122-2-200220000-110020-200-2-1-1001100000000000-1100
χ404444-4-4-21-44-211-21-222-1-122-2-200-2-20000-1100-2020021100-1-1000000000001-100
χ4144-4-44i−4i1-200-1-2212-13-32i−2ii−i3i−3i0000−i3i3−i3i3000000000000−i3i3003−33−300000000000
χ4244-4-44i−4i1-200-1-2212-13-32i−2ii−i3i−3i0000i3−i3i3−i3000000000000i3−i300−33−3300000000000
χ4344-4-44i−4i1-200-1-2212-1-332i−2ii−i−3i3i0000−i3i3−i3i3000000000000i3−i3003−3−3300000000000
χ4444-4-44i−4i1-200-1-2212-1-332i−2ii−i−3i3i0000i3−i3i3−i3000000000000−i3i300−333−300000000000
χ4544-4-44i−4i4400-44-44-4-400−4i4i4i−4i00000000000000000000000000000000000000000
χ4644-4-4−4i4i1-200-1-2212-13-3−2i2i−ii−3i3i0000−i3i3−i3i3000000000000−i3i300−33−3300000000000
χ4744-4-4−4i4i1-200-1-2212-13-3−2i2i−ii−3i3i0000i3−i3i3−i3000000000000i3−i3003−33−300000000000
χ4844-4-4−4i4i1-200-1-2212-1-33−2i2i−ii3i−3i0000−i3i3−i3i3000000000000i3−i300−333−300000000000
χ4944-4-4−4i4i1-200-1-2212-1-33−2i2i−ii3i−3i0000i3−i3i3−i3000000000000−i3i3003−3−3300000000000
χ5044-4-4−4i4i4400-44-44-4-4004i−4i−4i4i00000000000000000000000000000000000000000
χ514-44-40044004-44-4-4-400000000000000000000000000000000000000000−2i22i20000
χ524-44-40044004-44-4-4-4000000000000000000000000000000000000000002i2−2i20000
χ534-4-44004400-4-4-4-4440000000000000000004-4000000000000000000000000000
χ5488-8-88i−8i-420042-2-4-2400−2i2i−4i4i00000000000000000000000000000000000000000
χ5588-8-8−8i8i-420042-2-4-24002i−2i4i−4i00000000000000000000000000000000000000000
χ568-88-8002-40024-4-24-2000000000000−2i32i32i3−2i30000000000000000000000000000000
χ578-88-8002-40024-4-24-20000000000002i3−2i3−2i32i30000000000000000000000000000000
χ588-88-800-4200-4-224-2400000000000000000000000000000023−23000000000000000
χ598-88-800-4200-4-224-24000000000000000000000000000000−2323000000000000000
χ608-8-88002-400-244-2-42000000004-400-2-2220000000000000000000000000000000
χ618-8-88002-400-244-2-4200000000-440022-2-20000000000000000000000000000000
χ628-8-8800-42004-2-242-400000000004-400000000000000-220000000000000000000
χ638-8-8800-42004-2-242-40000000000-44000000000000002-20000000000000000000

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