Finite Group Databasebeta

← Group #10591003

Character table — Group #10591003

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size112222222444444444444888888888899121212121212121218181824242424242424243636
order12233446636668812121212121261224242424242424242244448888244121212122424242488
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111-1-111-1-111-1-1-1-1-111-1-111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-111-1-111-1-1
χ51111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1
χ61111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-11111-1-1
χ71111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-111-1-1-1-11111
χ81111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-111
χ911111-1-1111111i−i-1-1-1-1-1-11-1iiii−i−i−i−i111-11-1i−ii−i1-1-11-11-1i−ii−ii−i
χ1011111-1-1111111i−i-1-1-1-1-1-11-1iiii−i−i−i−i11-11-11−ii−ii1-1-1-11-11−ii−iii−i
χ1111111-1-1111111i−i-1-1-1-1-1-11-1iiii−i−i−i−i-1-11-1-11i−i−ii-1111-1-11i−i−ii−ii
χ1211111-1-1111111i−i-1-1-1-1-1-11-1iiii−i−i−i−i-1-1-111-1−iii−i-111-111-1−iii−i−ii
χ1311111-1-1111111−ii-1-1-1-1-1-11-1−i−i−i−iiiii111-11-1−ii−ii1-1-11-11-1−ii−ii−ii
χ1411111-1-1111111−ii-1-1-1-1-1-11-1−i−i−i−iiiii11-11-11i−ii−i1-1-1-11-11i−ii−i−ii
χ1511111-1-1111111−ii-1-1-1-1-1-11-1−i−i−i−iiiii-1-11-1-11−iii−i-1111-1-11−iii−ii−i
χ1611111-1-1111111−ii-1-1-1-1-1-11-1−i−i−i−iiiii-1-1-111-1i−i−ii-111-111-1i−i−iii−i
χ172222-1222-1-12-1-1222-1-1-12-1-1-12-1-1-12-1-1-1000022002200000-1-100-1-100
χ182222-1222-1-12-1-1222-1-1-12-1-1-12-1-1-12-1-1-10000-2-200-2-20000011001100
χ192222-1222-1-12-1-1-2-22-1-1-12-1-1-1-2111-211100002200-2-200000-1-1001100
χ202222-1222-1-12-1-1-2-22-1-1-12-1-1-1-2111-21110000-2-20022000001100-1-100
χ212222-1-2-22-1-12-1-12i−2i-2111-21-112i−i−i−i−2iiii00002-2002i−2i00000-1100−ii00
χ222222-1-2-22-1-12-1-12i−2i-2111-21-112i−i−i−i−2iiii0000-2200−2i2i000001-100i−i00
χ232222-1-2-22-1-12-1-1−2i2i-2111-21-11−2iiii2i−i−i−i00002-200−2i2i00000-1100i−i00
χ242222-1-2-22-1-12-1-1−2i2i-2111-21-11−2iiii2i−i−i−i0000-22002i−2i000001-100−ii00
χ25222-1222-12-1-12-122-12-1-1-12-1-1-12-1-1-12-1-10022002200000-1-100-1-10000
χ26222-1222-12-1-12-122-12-1-1-12-1-1-12-1-1-12-1-100-2-200-2-2000001100110000
χ27222-1222-12-1-12-1-2-2-12-1-1-12-1-11-2111-211002200-2-200000-1-100110000
χ28222-1222-12-1-12-1-2-2-12-1-1-12-1-11-2111-21100-2-20022000001100-1-10000
χ29222-12-2-2-12-1-12-12i−2i1-2111-2-11−i2i−i−ii−2iii002-2002i−2i00000-1100−ii0000
χ30222-12-2-2-12-1-12-12i−2i1-2111-2-11−i2i−i−ii−2iii00-2200−2i2i000001-100i−i0000
χ31222-12-2-2-12-1-12-1−2i2i1-2111-2-11i−2iii−i2i−i−i002-200−2i2i00000-1100i−i0000
χ32222-12-2-2-12-1-12-1−2i2i1-2111-2-11i−2iii−i2i−i−i00-22002i−2i000001-100−ii0000
χ3322-2222-2222-2-2200-2-2-2-222-22000000002200000000-22-20000000000
χ3422-2222-2222-2-2200-2-2-2-222-2200000000-2-2000000002-220000000000
χ3522-222-22222-2-22002222-2-2-2-2000000002200000000-2-220000000000
χ3622-222-22222-2-22002222-2-2-2-200000000-2-20000000022-20000000000
χ37444-2-244-2-21-2-2144-2-211-2-211-2-211-2-21100000000000000000000000
χ38444-2-244-2-21-2-21-4-4-2-211-2-21122-1-122-1-100000000000000000000000
χ39444-2-2-4-4-2-21-2-214i−4i22-1-1221-1−2i−2iii2i2i−i−i00000000000000000000000
χ40444-2-2-4-4-2-21-2-21−4i4i22-1-1221-12i2i−i−i−2i−2iii00000000000000000000000
χ4144-44-24-44-2-2-42-200-42224-22-20000000000000000000000000000000
χ4244-44-2-444-2-2-42-2004-2-2-2-42220000000000000000000000000000000
χ4344-4-244-4-24-22-4-2002-422-242-20000000000000000000000000000000
χ4444-4-24-44-24-22-4-200-24-2-22-4220000000000000000000000000000000
χ4544-4-2-24-4-2-212210022-1-1-2-2-11003i−3i003i−3i00000000000000000000000
χ4644-4-2-24-4-2-212210022-1-1-2-2-1100−3i3i00−3i3i00000000000000000000000
χ4744-4-2-2-44-2-2122100-2-21122-1-1003-300-3300000000000000000000000
χ4844-4-2-2-44-2-2122100-2-21122-1-100-33003-300000000000000000000000
χ494-404400-4-4400-40000000000000000004-4000000000000000000000
χ504-404400-4-4400-4000000000000000000-44000000000000000000000
χ518-808-400-84-400400000000000000000000000000000000000000000
χ528-80-48004-8-400400000000000000000000000000000000000000000
χ538-80-4-40044200-200006i−6i00000000000000000000000000000000000
χ548-80-4-40044200-20000−6i6i00000000000000000000000000000000000

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