Finite Group Databasebeta

← Group #14515243

Character table — Group #14515243

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size111122442020202020202424242430304040404040404040404848484848486060606060606080808080120120
order1222444434466651010104444412121212121220202020202022488881212121288
χ1111111111111111111111111111111111111111111111111
χ2111111111-1-1111111111-1-1-1-1-111-1-1111111111-1-1-1-111-1-1-1-1
χ3111111-1-1111111111111-11-1111111-1-111-1-11-1-11111-1-1-1-1-1-1
χ4111111-1-11-1-11111111111-11-1-111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111
χ51111-1-11-1111111111111-1-11-1-1-1-11111-1-1-1-1-1-1111-1-11-11-11-1
χ61111-1-11-11-1-111111111111-111-1-1-1-111-1-1-1-1-1-11-1-1111-1-11-11
χ71111-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111-11-111-1-1-11-11-11
χ81111-1-1-111-1-1111111111-11111-1-1-1-1-1-1-1-111-11-1-1-111-111-11-1
χ92-2-22000022i−2i-22-22-2-222-200000002i−2i0000000002i−2i00000000
χ102-2-2200002−2i2i-22-22-2-222-20000000−2i2i000000000−2i2i00000000
χ1144444444122111-1-1-1-100222-1-111-1-1-1-1-1-1-1-1000000011-1-100
χ12444444441-2-2111-1-1-1-100-2-2-2111111-1-1-1-1-1-10000000111100
χ13444444-4-4122111-1-1-1-100-22-2-1-111-1-111-1-1110000000-1-11100
χ14444444-4-41-2-2111-1-1-1-1002-2211111111-1-1110000000-1-1-1-100
χ154444-4-44-4122111-1-1-1-100-2-2211-1-1-1-1-1-1111100000001-1-1100
χ164444-4-44-41-2-2111-1-1-1-10022-2-1-1-1-111-1-1111100000001-11-100
χ174444-4-4-44122111-1-1-1-1002-2-211-1-1-1-11111-1-10000000-111-100
χ184444-4-4-441-2-2111-1-1-1-100-222-1-1-1-1111111-1-10000000-11-1100
χ1944-4-44i−4i00-20022-2-11-1100000002i−2i00−55i−i−i5i50000000000000
χ2044-4-44i−4i00-20022-2-11-1100000002i−2i005−5i−ii5−i50000000000000
χ2144-4-4−4i4i00-20022-2-11-110000000−2i2i00−55−iii5−i50000000000000
χ2244-4-4−4i4i00-20022-2-11-110000000−2i2i005−5−ii−i5i50000000000000
χ2355555555-111-1-1-100001111111-1-111000000111-1-1-1-1-1-111-1-1
χ2455555555-1-1-1-1-1-1000011-1-1-1-1-1-1-1-1-10000001111111-1-1-1-111
χ25555555-5-5-111-1-1-1000011-11-111-1-1110000001-1-1-1-1-1-111-1-111
χ26555555-5-5-1-1-1-1-1-10000111-11-1-1-1-1-1-10000001-1-111111111-1-1
χ275555-5-55-5-111-1-1-1000011-1-11-1-11111000000-1-11-1-111-111-1-11
χ285555-5-55-5-1-1-1-1-1-100001111-11111-1-1000000-1-1111-1-1-11-111-1
χ295555-5-5-55-111-1-1-10000111-1-1-1-11111000000-11-1-1-1111-1-111-1
χ305555-5-5-55-1-1-1-1-1-1000011-1111111-1-1000000-11-111-1-11-11-1-11
χ31666666660000001111-2-2000000000111111-2-2-20000000000
χ32666666-6-60000001111-2-2000000000-1-111-1-1-2220000000000
χ336666-6-66-60000001111-2-200000000011-1-1-1-122-20000000000
χ346666-6-6-660000001111-2-2000000000-1-1-1-1112-220000000000
χ3588-8-88i−8i00200-2-22-22-220000000−2i2i00002i−2i000000000000000
χ3688-8-8−8i8i00200-2-22-22-2200000002i−2i0000−2i2i000000000000000
χ378-88-800002002-2-2-2-22200000−2i32i300000000000000000000000
χ388-88-800002002-2-2-2-222000002i3−2i300000000000000000000000
χ398-88-80000-400-444-2-222000000000000000000000000000000
χ408-8-88000024i−4i-22-2-222-2000000000−2i2i0000000000000000000
χ418-8-8800002−4i4i-22-2-222-20000000002i−2i0000000000000000000
χ4210-10-10100000-22i−2i2-2200002-200000002i−2i000000000−2i2i00000000
χ4310-10-10100000-2−2i2i2-2200002-20000000−2i2i0000000002i−2i00000000
χ441212-12-1212i−12i000000002-22-20000000000000−2i2i000000000000000
χ451212-12-12−12i12i000000002-22-200000000000002i−2i000000000000000
χ4612-1212-12000000000022-2-20000000000000000000000−2i22i2000000
χ4712-1212-12000000000022-2-200000000000000000000002i2−2i2000000
χ4812-12-121200000000002-2-22-440000000000000000000000000000

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