Finite Group Databasebeta

← Group #13140990

Character table — Group #13140990

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size112222244466666688812121212121212121218182424242424242424242436363636363636363672727272727272727272727272
order1223446612123366664121236666121212128812121212121212121212248882424242426668812242424242424
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11-1-111111-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-1
χ41111111111111111111111111111-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-11-1-1-11111
χ51111111111111111-1-1-111111111111-1-1-1-111-1-1-1-1111111111-11-1-1-1-11-1-111-1-1
χ61111111111111111-1-1-111111111111-1-1-1-111-1-1-1-1-1-11-1-11111-1-1-1-111-111-1-111
χ71111111111111111-1-1-1111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11111-111-1-1-1-111
χ81111111111111111-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11-1111-1-11111-1-1
χ922222222222-1-1-12-1222-12-1-1-1-122-12222-1-1-1-1-1-1-1-100200-1-1-1-120-1-1000000000
χ1022222222222-1-1-12-1222-12-1-1-1-122-1-2-222-1-1-1-1-1-1-1-100-2001111-2011000000000
χ1122222222222-1-1-12-1-2-2-2-12-1-1-1-122-122-2-211-1-1111100200-1-1-1-1-2011000000000
χ1222222222222-1-1-12-1-2-2-2-12-1-1-1-122-1-2-2-2-211-1-1111100-200111120-1-1000000000
χ132222222222-1222-12222-1-1-1-1-12-1-1200-1-122-1-1-1-1-1-1000220000000002000-1-1-1-1
χ142222222222-1222-12222-1-1-1-1-12-1-1200-1-122-1-1-1-1-1-1000-2-2000000000-20001111
χ152222222222-1222-12-2-2-2-1-1-1-1-12-1-120011-2-2-1-1111100022000000000-2000-1-111
χ162222222222-1222-12-2-2-2-1-1-1-1-12-1-120011-2-2-1-11111000-2-2000000000200011-1-1
χ172222-2-222-2-222222200022222-2-2-2-2000000-2-200000002i−2i00000000000002i−2i00
χ182222-2-222-2-222222200022222-2-2-2-2000000-2-20000000−2i2i0000000000000−2i2i00
χ192222-2-222-2-2-1222-12000-1-1-1-1-1-211-200−i3i30011−i3−i3i3i30002i−2i0000000000000−ii3−3
χ202222-2-222-2-2-1222-12000-1-1-1-1-1-211-200−i3i30011−i3−i3i3i3000−2i2i0000000000000i−i−33
χ212222-2-222-2-2-1222-12000-1-1-1-1-1-211-200i3−i30011i3i3−i3−i30002i−2i0000000000000−ii−33
χ222222-2-222-2-2-1222-12000-1-1-1-1-1-211-200i3−i30011i3i3−i3−i3000−2i2i0000000000000i−i3−3
χ2322-222-22-22-222-2-2220002-2-2-22-22-222200002-2000000-20022-2-20000000000000
χ2422-222-22-22-222-2-2220002-2-2-22-22-22-2-200002-2000000200-2-2220000000000000
χ2522-222-22-22-22-1112-1000-1-211-112-2-12200−i3i3-11−i3i3−i3i300-200-1-11100−i3i3000000000
χ2622-222-22-22-22-1112-1000-1-211-112-2-12200i3−i3-11i3−i3i3−i300-200-1-11100i3−i3000000000
χ2722-222-22-22-22-1112-1000-1-211-112-2-1-2-200−i3i3-11−i3i3−i3i30020011-1-100i3−i3000000000
χ2822-222-22-22-22-1112-1000-1-211-112-2-1-2-200i3−i3-11i3−i3i3−i30020011-1-100−i3i3000000000
χ2922-22-222-2-2222-2-2220002-2-2-222-22-2000000-2200002-20000000020000-2000000
χ3022-22-222-2-2222-2-2220002-2-2-222-22-2000000-220000-2200000000-200002000000
χ314444444444-2-2-2-2-2-24441-2111-2-2-2-200-2-2-2-21111110000000000000000000000
χ324444444444-2-2-2-2-2-2-4-4-41-2111-2-2-2-200222211-1-1-1-10000000000000000000000
χ334444-4-444-4-44-2-2-24-2000-24-2-2-22-4-420000002200000000000000000000000000
χ344444-4-444-4-4-2-2-2-2-2-20001-2111222200−2i32i300-1-1i3i3−i3−i30000000000000000000000
χ354444-4-444-4-4-2-2-2-2-2-20001-21112222002i3−2i300-1-1−i3−i3i3i30000000000000000000000
χ3644-444-44-44-4-24-4-4-24000-2222-2-4-224000000-2200000000000000000000000000
χ3744-444-44-44-4-2-222-2-200012-1-112-22-20000−2i32i31-1i3−i3i3−i30000000000000000000000
χ3844-444-44-44-4-2-222-2-200012-1-112-22-200002i3−2i31-1−i3i3−i3i30000000000000000000000
χ3944-44-444-4-444-2224-2000-2-422-2-2-4420000002-200000000000000000000000000
χ4044-44-444-4-44-24-4-4-24000-2222-242-2-40000002-200000000000000000000000000
χ4144-44-444-4-44-2-222-2-200012-1-11-22-22000000-113-3-330000000000000000000000
χ4244-44-444-4-44-2-222-2-200012-1-11-22-22000000-11-333-30000000000000000000000
χ434-40400-40004400-4-40004000-40000−2i22i2000000000000000−2i22i2000000000000000
χ444-40400-40004400-4-40004000-400002i2−2i20000000000000002i2−2i2000000000000000
χ454-40400-40004-2−2i32i3-42000-20−2i32i320000−2i22i2000000000000000i2−i26−60000000000000
χ464-40400-40004-2−2i32i3-42000-20−2i32i3200002i2−2i2000000000000000−i2i2−660000000000000
χ474-40400-40004-22i3−2i3-42000-202i3−2i320000−2i22i2000000000000000i2−i2−660000000000000
χ484-40400-40004-22i3−2i3-42000-202i3−2i3200002i2−2i2000000000000000−i2i26−60000000000000
χ49666-366-3-3-3-30000006-3-30000000000000000000002200000000-10020-1-1-10000
χ50666-366-3-3-3-30000006-3-3000000000000000000000-2-200000000100-201110000
χ51666-366-3-3-3-3000000-6330000000000000000000002200000000-100-20-1110000
χ52666-366-3-3-3-3000000-633000000000000000000000-2-200000000100201-1-10000
χ5366-6-3-66-333-30000000−3i33i30000000000000000000002-200000000-100001−i3i30000
χ5466-6-3-66-333-30000000−3i33i3000000000000000000000-220000000010000-1i3−i30000
χ5566-6-3-66-333-300000003i3−3i30000000000000000000002-200000000-100001i3−i30000
χ5666-6-3-66-333-300000003i3−3i3000000000000000000000-220000000010000-1−i3i30000
χ578-80800-8000-48004-8000-4000400000000000000000000000000000000000000
χ588-80800-8000-4-4−4i34i344000202i3−2i3-200000000000000000000000000000000000000
χ598-80800-8000-4-44i3−4i34400020−2i32i3-200000000000000000000000000000000000000
χ60121212-6-12-12-6-6660000000000000000000000000000000000000000000000000000
χ611212-12-612-12-66-660000000000000000000000000000000000000000000000000000
χ6224-240-1200120000000000000000000000000000000000000000000000000000000

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