Finite Group Databasebeta

← Group #72236895

Character table — Group #72236895

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size112466121212121212121616242424242432324848484848484848484848486464649696128128
order12422422222442824444362444444448881224244866
χ111111111111111111111111111111111111111111
χ2111111111111111-11-1-1-111-1-11-1-1-1-1-1-1-11-1111-1-111
χ31111111111111-1-111111111-1-11-11111-1-1-11-1-1-1-11-1
χ41111111111111-1-1-11-1-1-111-11-1-11-1-1-1-11-111-1-1111-1
χ5111-111-1-1-111111-11-111111-111-1111-1-1-1-1-11-1-1-11-11
χ6111-111-1-1-111111-1-1-1-1-1-1111-111-1-1-1111-111-1-11-1-11
χ7111-111-1-1-11111-111-111111-1-1-1-1-111-1-11111111-1-1-1
χ8111-111-1-1-11111-11-1-1-1-1-11111-111-1-111-11-1111-11-1-1
χ922222222222222202000-1-1002000000020-1-1-100-1-1
χ102222222222222-2-202000-1-100-20000000-20-11100-11
χ11222-222-2-2-222222-20-2000-1-10020000000-20-111001-1
χ12222-222-2-2-22222-220-2000-1-100-2000000020-1-1-10011
χ1322-202-2000-22-220020-22-222000002-200000-2000000
χ1422-202-2000-22-2200-202-222200000-2200000-2000000
χ153333333-1-1-1-1-1-1331-11110011-111-1-1-1-11-11000-1-100
χ163333333-1-1-1-1-1-133-1-1-1-1-100-1-1-1-1-11111-1-1-10001100
χ173333333-1-1-1-1-1-1-3-31-1111001-111-1-1-1-1-1-11-10001100
χ183333333-1-1-1-1-1-1-3-3-1-1-1-1-100-111-111111111000-1-100
χ19333-333-311-1-1-1-13-31111100-11-1-11-1-111-11-10001-100
χ20333-333-311-1-1-1-13-3-11-1-1-1001-1-11-111-1-1111000-1100
χ21333-333-311-1-1-1-1-331111100-1-11-1-1-1-1111-11000-1100
χ22333-333-311-1-1-1-1-33-11-1-1-1001111111-1-1-1-1-10001-100
χ2344-404-4000-44-440000000-2-20000000000002000000
χ246666-2-2-222-222-2002-22-2-200200-2000000000000000
χ256666-2-2-222-222-200-2-2-22200-2002000000000000000
χ266666-2-2-2-2-22-2-220002000000200-2000020-20000000
χ276666-2-2-2-2-22-2-220002000000-20020000-2020000000
χ28666-6-2-22222-2-22000-2000000200-20000-2020000000
χ29666-6-2-22222-2-22000-2000000-2002000020-20000000
χ30666-6-2-22-2-2-222-200222-2-200-2002000000000000000
χ31666-6-2-22-2-2-222-200-22-22200200-2000000000000000
χ3266-606-60002-22-20020-22-20000000-22000000000000
χ3366-606-60002-22-200-202-2200000002-2000000000000
χ3466-60-2204-422-2-20020-2-220000000002-20000000000
χ3566-60-2204-422-2-200-2022-2000000000-220000000000
χ3666-60-220-4422-2-20020-2-22000000000-220000000000
χ3766-60-220-4422-2-200-2022-20000000002-20000000000
χ381212-120-44000-4-4440000000000000000000000000000
χ3916-160000000000000000004-40000000000000000000
χ4016-16000000000000000000-220000000000000i6−i60000
χ4116-16000000000000000000-220000000000000−i6i60000

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