Finite Group Databasebeta

← Group #85589

Character table — Group #85589

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size134661216161616134661216161616134661216161616134661216161616
order1224443366222444666622244466662224446666
χ11111111111111111111111111111111111111111
χ2111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32
χ3111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32
χ411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1
χ511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32
χ611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32
χ7333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000
χ833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000
χ96-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i00000
χ106-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000
χ111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ12111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32
χ13111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32
χ1411-111-111-1-1-1-11-1-11-1-11111-111-111-1-1-1-11-1-11-1-111
χ1511-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32
χ1611-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32
χ17333-1-1-10000-3-3-31110000333-1-1-10000-3-3-31110000
χ1833-3-1-110000-3-3311-1000033-3-1-110000-3-3311-10000
χ196-202i−2i00000-620−2i2i000006-202i−2i00000-620−2i2i00000
χ206-20−2i2i00000-6202i−2i000006-20−2i2i00000-6202i−2i00000
χ2111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ22111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32
χ23111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32
χ2411-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-111
χ2511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32
χ2611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32
χ27333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000
χ2833-3-1-11000033-3-1-110000-3-3311-10000-3-3311-10000
χ296-202i−2i000006-202i−2i00000-620−2i2i00000-620−2i2i00000
χ306-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i00000
χ311111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32
χ33111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32
χ3411-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-11111-111-111-1-1
χ3511-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i32
χ3611-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i32
χ37333-1-1-10000-3-3-31110000-3-3-31110000333-1-1-10000
χ3833-3-1-110000-3-3311-10000-3-3311-1000033-3-1-110000
χ396-202i−2i00000-620−2i2i00000-620−2i2i000006-202i−2i00000
χ406-20−2i2i00000-6202i−2i00000-6202i−2i000006-20−2i2i00000

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