Finite Group Databasebeta

← Group #11730737

Character table — Group #11730737

Order 896.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20
size1781414141456646464646464646464646464
order12244444777777141414141414
χ111111111111111111111
χ211111111−ζ2−ζ18−ζ6−ζ22−ζ10−ζ26−ζ2−ζ18−ζ6−ζ22−ζ10−ζ26
χ311111111−ζ18−ζ22−ζ26−ζ2−ζ6−ζ10−ζ18−ζ22−ζ26−ζ2−ζ6−ζ10
χ411111111−ζ6−ζ26−ζ18−ζ10−ζ2−ζ22−ζ6−ζ26−ζ18−ζ10−ζ2−ζ22
χ511111111−ζ22−ζ2−ζ10−ζ18−ζ26−ζ6−ζ22−ζ2−ζ10−ζ18−ζ26−ζ6
χ611111111−ζ10−ζ6−ζ2−ζ26−ζ22−ζ18−ζ10−ζ6−ζ2−ζ26−ζ22−ζ18
χ711111111−ζ26−ζ10−ζ22−ζ6−ζ18−ζ2−ζ26−ζ10−ζ22−ζ6−ζ18−ζ2
χ811-11111-1111111-1-1-1-1-1-1
χ911-11111-1−ζ2−ζ18−ζ6−ζ22−ζ10−ζ26ζ2ζ18ζ6ζ22ζ10ζ26
χ1011-11111-1−ζ18−ζ22−ζ26−ζ2−ζ6−ζ10ζ18ζ22ζ26ζ2ζ6ζ10
χ1111-11111-1−ζ6−ζ26−ζ18−ζ10−ζ2−ζ22ζ6ζ26ζ18ζ10ζ2ζ22
χ1211-11111-1−ζ22−ζ2−ζ10−ζ18−ζ26−ζ6ζ22ζ2ζ10ζ18ζ26ζ6
χ1311-11111-1−ζ10−ζ6−ζ2−ζ26−ζ22−ζ18ζ10ζ6ζ2ζ26ζ22ζ18
χ1411-11111-1−ζ26−ζ10−ζ22−ζ6−ζ18−ζ2ζ26ζ10ζ22ζ6ζ18ζ2
χ15777-1-1-1-1-1000000000000
χ1677-7-1-1-1-11000000000000
χ1714-20-2-22+4i2−4i0000000000000
χ1814-20-2-22−4i2+4i0000000000000
χ1914-202+4i2−4i-2-20000000000000
χ2014-202−4i2+4i-2-20000000000000

Here ζ is a primitive root of unity of order 28 (ζ28 = 1); i = ζ7.