Finite Group Databasebeta

← Group #13140568

Character table — Group #13140568

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size112222244466666688812121212121212121218182424242424242424242436363636363636363672727272727272727272727272
order122344661212336666266366661212121288666666661212248882424242426668812242424242424
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11-1-111111-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-11-1-11-11-1-1-1-111
χ41111111111111111111111111111-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-11-11111-1-1
χ51111111111111111-1-1-111111111111-1-1-1-1-1-1-1-111111111111-11-1-1-1-1111-1-1-1-1
χ61111111111111111-1-1-111111111111-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-111-1-1-11111
χ71111111111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-111-1-111-1-1
χ81111111111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11-1111-1-111-1-111
χ922222222222-1-1-1-12222-12-1-1-1-12-122222-1-1-1-1-1-1-1-100200-1-1-1-120-1-1000000000
χ1022222222222-1-1-1-12222-12-1-1-1-12-12-2-222-1-1-1-1-1-1-1-100-2001111-2011000000000
χ1122222222222-1-1-1-12-2-2-2-12-1-1-1-12-1222-2-2111111-1-100200-1-1-1-1-2011000000000
χ1222222222222-1-1-1-12-2-2-2-12-1-1-1-12-12-2-2-2-2111111-1-100-200111120-1-1000000000
χ132222222222-12222-1222-1-1-1-1-12-12-100-1-122-1-1-1-1-1-12200000000-10020-10000-1-1
χ142222222222-12222-1222-1-1-1-1-12-12-100-1-122-1-1-1-1-1-1-2-200000000100-201000011
χ152222222222-12222-1-2-2-2-1-1-1-1-12-12-10011-2-21111-1-12200000000-100-20-1000011
χ162222222222-12222-1-2-2-2-1-1-1-1-12-12-10011-2-21111-1-1-2-2000000001002010000-1-1
χ172222-2-222-2-222222200022222-2-2-2-20000000000-2-20002i−2i000000000002i−2i0000
χ182222-2-222-2-222222200022222-2-2-2-20000000000-2-2000−2i2i00000000000−2i2i0000
χ1922-222-22-22-222-2-2220002-2-2-222-2-2200000000002-22-20000000020000-2000000
χ2022-222-22-22-222-2-2220002-2-2-222-2-2200000000002-2-2200000000-200002000000
χ2122-222-22-22-2-12-2-22-1000-1111-121-2-100−i3i300−i3−i3i3i3-112-200000000-1000010000−i3i3
χ2222-222-22-22-2-12-2-22-1000-1111-121-2-100−i3i300−i3−i3i3i3-11-220000000010000-10000i3−i3
χ2322-222-22-22-2-12-2-22-1000-1111-121-2-100i3−i300i3i3−i3−i3-112-200000000-1000010000i3−i3
χ2422-222-22-22-2-12-2-22-1000-1111-121-2-100i3−i300i3i3−i3−i3-11-220000000010000-10000−i3i3
χ2522-22-222-2-2222-2-2220002-2-2-22-222-22200000000-2200-20022-2-20000000000000
χ2622-22-222-2-2222-2-2220002-2-2-22-222-2-2-200000000-2200200-2-2220000000000000
χ2722-22-222-2-222-111-12000-1-211-112-1-22200−i3i3−i3i3−i3i31-100-200-1-11100−i3i3000000000
χ2822-22-222-2-222-111-12000-1-211-112-1-22200i3−i3i3−i3i3−i31-100-200-1-11100i3−i3000000000
χ2922-22-222-2-222-111-12000-1-211-112-1-2-2-200−i3i3−i3i3−i3i31-10020011-1-100i3−i3000000000
χ3022-22-222-2-222-111-12000-1-211-112-1-2-2-200i3−i3i3−i3i3−i31-10020011-1-100−i3i3000000000
χ314444444444-2-2-2-2-2-24441-2111-2-2-2-200-2-2-2-21111110000000000000000000000
χ324444444444-2-2-2-2-2-2-4-4-41-2111-2-2-2-2002222-1-1-1-1110000000000000000000000
χ334444-4-444-4-44-2-2-2-24000-24-2-2-22-42-40000000000220000000000000000000000
χ344444-4-444-4-4-24444-2000-2-2-2-2-2-42-420000000000220000000000000000000000
χ354444-4-444-4-4-2-2-2-2-2-20001-211122220000003-3-33-1-10000000000000000000000
χ364444-4-444-4-4-2-2-2-2-2-20001-21112222000000-333-3-1-10000000000000000000000
χ3744-444-44-44-44-222-24000-2-422-2-2-4240000000000-220000000000000000000000
χ3844-444-44-44-4-2-222-2-200012-1-11-222-200−2i32i300i3i3−i3−i31-10000000000000000000000
χ3944-444-44-44-4-2-222-2-200012-1-11-222-2002i3−2i300−i3−i3i3i31-10000000000000000000000
χ4044-44-444-4-44-24-4-44-2000-2222-2-4-24200000000002-20000000000000000000000
χ4144-44-444-4-44-2-222-2-200012-1-112-2-220000−2i32i3i3−i3i3−i3-110000000000000000000000
χ4244-44-444-4-44-2-222-2-200012-1-112-2-2200002i3−2i3−i3i3−i3i3-110000000000000000000000
χ434-40400-40004400-4-40004000-4000022−2200000000000000022−22000000000000000
χ444-40400-40004400-4-40004000-40000−2222000000000000000−2222000000000000000
χ454-40400-40004-2−2i32i32-4000-20−2i32i32000022−22000000000000000−22i6−i60000000000000
χ464-40400-40004-2−2i32i32-4000-20−2i32i320000−22220000000000000002−2−i6i60000000000000
χ474-40400-40004-22i3−2i32-4000-202i3−2i32000022−22000000000000000−22−i6i60000000000000
χ484-40400-40004-22i3−2i32-4000-202i3−2i320000−22220000000000000002−2i6−i60000000000000
χ49666-366-3-3-3-30000006-3-30000000000000000000000002200000000020-1-1-1-100
χ50666-366-3-3-3-30000006-3-3000000000000000000000000-2-2000000000-20111100
χ51666-366-3-3-3-3000000-63300000000000000000000000022000000000-20-1-11100
χ52666-366-3-3-3-3000000-633000000000000000000000000-2-20000000002011-1-100
χ53666-3-6-6-3-3330000000−3i33i30000000000000000000000002i−2i00000000000−ii3−300
χ54666-3-6-6-3-3330000000−3i33i3000000000000000000000000−2i2i00000000000i−i−3300
χ55666-3-6-6-3-33300000003i3−3i30000000000000000000000002i−2i00000000000−ii−3300
χ56666-3-6-6-3-33300000003i3−3i3000000000000000000000000−2i2i00000000000i−i3−300
χ578-80800-8000-4800-84000-4000400000000000000000000000000000000000000
χ588-80800-8000-4-4−4i34i344000202i3−2i3-200000000000000000000000000000000000000
χ598-80800-8000-4-44i3−4i34400020−2i32i3-200000000000000000000000000000000000000
χ601212-12-612-12-66-660000000000000000000000000000000000000000000000000000
χ611212-12-6-1212-666-60000000000000000000000000000000000000000000000000000
χ6224-240-1200120000000000000000000000000000000000000000000000000000000

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