Finite Group Databasebeta

← Group #13062019

Character table — Group #13062019

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size1122277141414242424242828282828282828484848484848565656565656565656565656
order124442244477141433666666282828282828121212121212121212121212
χ11111111111111111111111111111111111111111
χ211111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ311111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4111-1-1111-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ5111-1-1111-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32
χ6111-1-1111-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32
χ711-11-111-11-1111111111111-1-111-1-1-1-111-1-1-1-111-1-1
χ811-11-111-11-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111-1-11−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32
χ911-11-111-11-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111-1-11+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32
χ1011-1-1111-1-11111111111111-1-1-1-111-1-1-1-111-1-1-1-111
χ1111-1-1111-1-111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1111−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32
χ1211-1-1111-1-111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1111+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32
χ132-20002-200022-2-2222-22-2-2-2000000000000000000
χ142-20002-200022-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3000000000000000000
χ152-20002-200022-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3000000000000000000
χ163333333333−1−i72−1+i72−1−i72−1+i7200000000−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72000000000000
χ173333333333−1+i72−1−i72−1+i72−1−i7200000000−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72000000000000
χ18333-3-3333-3-3−1−i72−1+i72−1−i72−1+i7200000000−1−i72−1+i721+i721−i721+i721−i72000000000000
χ19333-3-3333-3-3−1+i72−1−i72−1+i72−1−i7200000000−1+i72−1−i721−i721+i721−i721+i72000000000000
χ2033-33-333-33-3−1−i72−1+i72−1−i72−1+i72000000001+i721−i72−1−i72−1+i721+i721−i72000000000000
χ2133-33-333-33-3−1+i72−1−i72−1+i72−1−i72000000001−i721+i72−1+i72−1−i721−i721+i72000000000000
χ2233-3-3333-3-33−1−i72−1+i72−1−i72−1+i72000000001+i721−i721+i721−i72−1−i72−1+i72000000000000
χ2333-3-3333-3-33−1+i72−1−i72−1+i72−1−i72000000001−i721+i721−i721+i72−1+i72−1−i72000000000000
χ246-60006-6000−1−i7−1+i71+i71−i700000000000000000000000000
χ256-60006-6000−1+i7−1−i71−i71+i700000000000000000000000000
χ2677777-1-1-1-1-1000011-1-1-1-1110000001-11-11-11-11-11-1
χ2777777-1-1-1-1-10000−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32000000−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ2877777-1-1-1-1-10000−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32000000−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ29777-7-7-1-1-111000011-1-1-1-1110000001-1-11-111-1-11-11
χ30777-7-7-1-1-1110000−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32000000−1+i321−i321−i32−1+i321−i32−1+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ31777-7-7-1-1-1110000−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32000000−1−i321+i321+i32−1−i321+i32−1−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ3277-77-7-1-11-11000011-1-1-1-111000000-111-1-11-111-1-11
χ3377-77-7-1-11-110000−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i320000001−i32−1+i32−1+i321−i321−i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ3477-77-7-1-11-110000−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i320000001+i32−1−i32−1−i321+i321+i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ3577-7-77-1-111-1000011-1-1-1-111000000-11-111-1-11-111-1
χ3677-7-77-1-111-10000−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i320000001−i32−1+i321−i32−1+i32−1+i321−i321+i32−1−i321+i32−1−i32−1−i321+i32
χ3777-7-77-1-111-10000−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i320000001+i32−1−i321+i32−1−i32−1−i321+i321−i32−1+i321−i32−1+i32−1+i321−i32
χ3814-14000-22000000022-22-22-2-2000000000000000000
χ3914-14000-220000000−1+i3−1−i31−i3−1+i31+i3−1−i31−i31+i3000000000000000000
χ4014-14000-220000000−1−i3−1+i31+i3−1−i31−i3−1+i31+i31−i3000000000000000000

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