Finite Group Databasebeta

← Group #72342033

Character table — Group #72342033

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size112466121212121212121616242424242432324848484848484848484848486464649696128128
order124824224488824244483644444444888812242488612
χ111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111-1-111
χ31111111111111-1-11111111-1-1-1-1-1-1111111111-1-1-1-1
χ41111111111111-1-1-1-1-1-111111-1-111-1-1-1-1-1-111111-1-1
χ5111-1111111-1-1-11-11111-1111-11-11-111-1-1-1-11-1-11-11-1
χ6111-1111111-1-1-11-1-1-1-1-1-111-111-1-11-1-111111-1-1-111-1
χ7111-1111111-1-1-1-111111-111-11-11-1111-1-1-1-11-1-1-11-11
χ8111-1111111-1-1-1-11-1-1-1-1-1111-1-111-1-1-111111-1-11-1-11
χ922222222222222200002-1-1002200000000-1-1-100-1-1
χ102222222222222-2-200002-1-100-2-200000000-1-1-10011
χ11222-2222222-2-2-22-20000-2-1-1002-200000000-11100-11
χ12222-2222222-2-2-2-220000-2-1-100-2200000000-111001-1
χ1322-202-2-22-22000002-22-20220000002-20000-2000000
χ1422-202-2-22-2200000-22-22022000000-220000-2000000
χ15333333-1-1-1-13-1-1331111-10011-1-111-1-111-1-1000-1-100
χ16333333-1-1-1-13-1-133-1-1-1-1-100-1-1-1-1-1-111-1-1110001100
χ17333333-1-1-1-13-1-1-3-31111-100-1-111-1-1-1-111-1-10001100
χ18333333-1-1-1-13-1-1-3-3-1-1-1-1-10011111111-1-111000-1-100
χ19333-333-1-1-1-1-3113-311111001-1-111-1-1-1-1-111000-1100
χ20333-333-1-1-1-1-3113-3-1-1-1-1100-11-11-111111-1-10001-100
χ21333-333-1-1-1-1-311-331111100-111-1-11-1-1-1-1110001-100
χ22333-333-1-1-1-1-311-33-1-1-1-11001-11-11-11111-1-1000-1100
χ2344-404-4-44-440000000000-2-20000000000002000000
χ246666-2-22-2-22-2-2-20000002002200-2-20000000000000
χ256666-2-22-2-22-2-2-2000000200-2-200220000000000000
χ266666-2-2-222-2-2220022-2-2-200000000002-2000000000
χ276666-2-2-222-2-22200-2-222-20000000000-22000000000
χ28666-6-2-22-2-22222000000-2002-200-220000000000000
χ29666-6-2-22-2-22222000000-200-22002-20000000000000
χ30666-6-2-2-222-22-2-20022-2-220000000000-22000000000
χ31666-6-2-2-222-22-2-200-2-222200000000002-2000000000
χ3266-606-62-22-2000002-22-2000000000-2200000000000
χ3366-606-62-22-200000-22-220000000002-200000000000
χ3466-60-2222-2-204i−4i002-2-2200000000000002i−2i0000000
χ3566-60-2222-2-204i−4i00-222-20000000000000−2i2i0000000
χ3666-60-2222-2-20−4i4i002-2-220000000000000−2i2i0000000
χ3766-60-2222-2-20−4i4i00-222-200000000000002i−2i0000000
χ381212-120-44-4-4440000000000000000000000000000000
χ3916-160000000000000000004-40000000000000000000
χ4016-16000000000000000000-2200000000000006−60000
χ4116-16000000000000000000-220000000000000−660000

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