Finite Group Databasebeta

← Group #4753

Character table — Group #4753

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27
size1122222444448888888812121212121224
order12234464461212881212242424242244442
χ1111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1
χ3111111111111-1-111-1-1-1-11111-1-1-1
χ4111111111111-1-111-1-1-1-1-1-1-1-1111
χ51111111-1-11111-1-1-111-1-11-11-111-1
χ61111111-1-11111-1-1-111-1-1-11-11-1-11
χ71111111-1-1111-11-1-1-1-1111-11-1-1-11
χ81111111-1-1111-11-1-1-1-111-11-1111-1
χ92222-2-222-22-2-2002-200000000000
χ102222-2-22-222-2-200-2200000000000
χ11222-122-122-1-1-122-1-1-1-1-1-10000000
χ12222-122-122-1-1-1-2-2-1-111110000000
χ13222-122-1-2-2-1-1-12-211-1-1110000000
χ14222-122-1-2-2-1-1-1-221111-1-10000000
χ15222-1-2-2-12-2-11100-113−33−30000000
χ16222-1-2-2-12-2-11100-11−33−330000000
χ17222-1-2-2-1-22-111001-13−3−330000000
χ18222-1-2-2-1-22-111001-1−333−30000000
χ1922-222-2200-22-200000000020-2000
χ2022-222-2200-22-2000000000-202000
χ2122-22-22200-2-220000000020-20000
χ2222-22-22200-2-2200000000-2020000
χ2344-4-24-4-2002-22000000000000000
χ2444-4-2-44-20022-2000000000000000
χ254-40400-4000000000000000002i−2i0
χ264-40400-400000000000000000−2i2i0
χ278-80-400400000000000000000000

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