Finite Group Databasebeta

← Group #11920952

Character table — Group #11920952

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size112233446688121224242424243232323232323232323232327272727272727272
order1236224466121244266121233366612121212121224448888
χ1111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111-1-111-1-111-1-1-111111111-1-1-1-1-1-11-11-111-1-1
χ4111111-1-111-1-111-1-1-111111111-1-1-1-1-1-1-11-11-1-111
χ52222222222222222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ6222222-2-222-2-222-2-2-222-1-1-1-1-1-111111100000000
χ722-1-12222-1-1-1-1222-1-1-1-12-1-12-1-122-1-1-1-100000000
χ822-1-12222-1-1-1-1222-1-1-1-1-12-1-12-1-1-122-1-100000000
χ922-1-12222-1-1-1-1222-1-1-1-1-1-12-1-12-1-1-1-12200000000
χ1022-1-122-2-2-1-11122-211-1-12-1-12-1-1-2-2111100000000
χ1122-1-122-2-2-1-11122-211-1-1-12-1-12-111-2-21100000000
χ1222-1-122-2-2-1-11122-211-1-1-1-12-1-121111-2-200000000
χ132-22-22-22i−2i2-22i−2i0000000-1-1-1111i−ii−ii−i0000−i2i22−2
χ142-22-22-22i−2i2-22i−2i0000000-1-1-1111i−ii−ii−i0000i2−i2−22
χ152-22-22-2−2i2i2-2−2i2i0000000-1-1-1111−ii−ii−ii0000−i2i2−22
χ162-22-22-2−2i2i2-2−2i2i0000000-1-1-1111−ii−ii−ii0000i2−i22−2
χ17333333333333-1-1-1-1-1-1-10000000000001111-1-1-1-1
χ18333333333333-1-1-1-1-1-1-1000000000000-1-1-1-11111
χ19333333-3-333-3-3-1-1111-1-10000000000001-11-1-1-111
χ20333333-3-333-3-3-1-1111-1-1000000000000-11-1111-1-1
χ214-44-44-44i−4i4-44i−4i0000000111-1-1-1−ii−ii−ii00000000
χ224-44-44-4−4i4i4-4−4i4i0000000111-1-1-1i−ii−ii−i00000000
χ234-4-224-44i−4i-22−2i2i000000011-2-1-12−ii−ii2i−2i00000000
χ244-4-224-44i−4i-22−2i2i00000001-21-12-1−ii2i−2i−ii00000000
χ254-4-224-44i−4i-22−2i2i0000000-2112-1-12i−2i−ii−ii00000000
χ264-4-224-4−4i4i-222i−2i000000011-2-1-12i−ii−i−2i2i00000000
χ274-4-224-4−4i4i-222i−2i00000001-21-12-1i−i−2i2ii−i00000000
χ284-4-224-4−4i4i-222i−2i0000000-2112-1-1−2i2ii−ii−i00000000
χ296666-2-200-2-2002-20002-2000000000000020-20000
χ306666-2-200-2-2002-20002-20000000000000-2020000
χ316666-2-200-2-200-22000-2200000000000020-200000
χ326666-2-200-2-200-22000-22000000000000-20200000
χ3366-3-36666-3-3-3-3-2-2-2111100000000000000000000
χ3466-3-366-6-6-3-333-2-22-1-11100000000000000000000
χ351212-6-6-4-40022004-4000-2200000000000000000000
χ361212-6-6-4-4002200-440002-200000000000000000000
χ3712-1212-12-4400-4400000000000000000000000000000
χ3812-12-66-44002-200000−2i32i30000000000000000000000
χ3912-12-66-44002-2000002i3−2i30000000000000000000000

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