Finite Group Databasebeta

← Group #11923232

Character table — Group #11923232

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1346612161616162681212243232323239121818364848484813466121616161626812122432323232391218183648484848
order122444336636612121233662224446666222444666666612121266662224446666
χ1111111111111111111111111111111111111111111111111111111111111
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+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−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32
χ411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1
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−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+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32
χ7333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000
χ833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000
χ96-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i00000
χ106-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000
χ1111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ12111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−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
χ13111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+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
χ1411-111-111-1-111-111-111-1-1-1-11-1-11-1-11111-111-111-1-111-111-111-1-1-1-11-1-11-1-111
χ1511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32
χ1611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32
χ17333-1-1-10000333-1-1-10000-3-3-31110000333-1-1-10000333-1-1-10000-3-3-31110000
χ1833-3-1-11000033-3-1-110000-3-3311-1000033-3-1-11000033-3-1-110000-3-3311-10000
χ196-202i−2i000006-202i−2i00000-620−2i2i000006-202i−2i000006-202i−2i00000-620−2i2i00000
χ206-20−2i2i000006-20−2i2i00000-6202i−2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000
χ212222222222-1-1-1-1-1-1-1-1-1-100000000002222222222-1-1-1-1-1-1-1-1-1-10000000000
χ22222222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-11+i321−i321+i321−i320000000000222222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-11+i321−i321+i321−i320000000000
χ23222222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-11−i321+i321−i321+i320000000000222222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-11−i321+i321−i321+i320000000000
χ2422-222-222-2-2-1-11-1-11-1-111000000000022-222-222-2-2-1-11-1-11-1-1110000000000
χ2522-222-2−1−i3−1+i31+i31−i3-1-11-1-111+i321−i32−1−i32−1+i32000000000022-222-2−1−i3−1+i31+i31−i3-1-11-1-111+i321−i32−1−i32−1+i320000000000
χ2622-222-2−1+i3−1−i31−i31+i3-1-11-1-111−i321+i32−1+i32−1−i32000000000022-222-2−1+i3−1−i31−i31+i3-1-11-1-111−i321+i32−1+i32−1−i320000000000
χ27666-2-2-20000-3-3-311100000000000000666-2-2-20000-3-3-311100000000000000
χ2866-6-2-220000-3-3311-10000000000000066-6-2-220000-3-3311-100000000000000
χ2912-404i−4i00000-620−2i2i00000000000000012-404i−4i00000-620−2i2i000000000000000
χ3012-40−4i4i00000-6202i−2i00000000000000012-40−4i4i00000-6202i−2i000000000000000
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ32111111−1−i32−1+i32−1−i32−1+i32111111−1−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−i32-1-1-1-1-1-11+i321−i321+i321−i32
χ33111111−1+i32−1−i32−1+i32−1−i32111111−1+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+i32-1-1-1-1-1-11−i321+i321−i321+i32
χ3411-111-111-1-111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-111
χ3511-111-1−1−i32−1+i321+i321−i3211-111-1−1−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+i32-1-11-1-111+i321−i32−1−i32−1+i32
χ3611-111-1−1+i32−1−i321−i321+i3211-111-1−1+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−i32-1-11-1-111−i321+i32−1+i32−1−i32
χ37333-1-1-10000333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000-3-3-31110000
χ3833-3-1-11000033-3-1-11000033-3-1-110000-3-3311-10000-3-3311-10000-3-3311-10000
χ396-202i−2i000006-202i−2i000006-202i−2i00000-620−2i2i00000-620−2i2i00000-620−2i2i00000
χ406-20−2i2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i00000-6202i−2i00000
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ42111111−1−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−i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32
χ43111111−1+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+i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32
χ4411-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-11111-111-111-1-1
χ4511-111-1−1−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+i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i32
χ4611-111-1−1+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−i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i32
χ47333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000-3-3-31110000333-1-1-10000
χ4833-3-1-11000033-3-1-110000-3-3311-10000-3-3311-10000-3-3311-1000033-3-1-110000
χ496-202i−2i000006-202i−2i00000-620−2i2i00000-620−2i2i00000-620−2i2i000006-202i−2i00000
χ506-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i00000-6202i−2i000006-20−2i2i00000
χ512222222222-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-2-2-2-2-2-2-211111111110000000000
χ52222222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-11+i321−i321+i321−i320000000000-2-2-2-2-2-21+i31−i31+i31−i3111111−1−i32−1+i32−1−i32−1+i320000000000
χ53222222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-11−i321+i321−i321+i320000000000-2-2-2-2-2-21−i31+i31−i31+i3111111−1+i32−1−i32−1+i32−1−i320000000000
χ5422-222-222-2-2-1-11-1-11-1-1110000000000-2-22-2-22-2-22211-111-111-1-10000000000
χ5522-222-2−1−i3−1+i31+i31−i3-1-11-1-111+i321−i32−1−i32−1+i320000000000-2-22-2-221+i31−i3−1−i3−1+i311-111-1−1−i32−1+i321+i321−i320000000000
χ5622-222-2−1+i3−1−i31−i31+i3-1-11-1-111−i321+i32−1+i32−1−i320000000000-2-22-2-221−i31+i3−1+i3−1−i311-111-1−1+i32−1−i321−i321+i320000000000
χ57666-2-2-20000-3-3-311100000000000000-6-6-62220000333-1-1-100000000000000
χ5866-6-2-220000-3-3311-100000000000000-6-6622-2000033-3-1-1100000000000000
χ5912-404i−4i00000-620−2i2i000000000000000-1240−4i4i000006-202i−2i000000000000000
χ6012-40−4i4i00000-6202i−2i000000000000000-12404i−4i000006-20−2i2i000000000000000

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