Finite Group Databasebeta

← Group #11920941

Character table — Group #11920941

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size112222233666666666121212121212121212123232323232323232323232327272727272727272
order12236662224444666644121212121212121233366666666624448888
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311-111-1-111-1-1-1111-1-111-11111-1-1-1-1111111-1-1-1-1-1-11-11-111-1-1
χ411-111-1-111-1-1-1111-1-111-11111-1-1-1-1111111-1-1-1-1-1-1-11-11-1-111
χ52222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ6222-1-1-1-12222222-1-1-1-122-1-1-1-1-1-1-1-12-1-12-1-122-1-1-1-100000000
χ7222-1-1-1-12222222-1-1-1-122-1-1-1-1-1-1-1-1-12-1-12-1-1-122-1-100000000
χ8222-1-1-1-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1-12-1-12-1-1-1-12200000000
χ922-222-2-222-2-2-2222-2-222-22222-2-2-2-2-1-1-1-1-1-111111100000000
χ1022-2-1-11122-2-2-222-111-12-2-1-1-1-111112-1-12-1-1-2-2111100000000
χ1122-2-1-11122-2-2-222-111-12-2-1-1-1-11111-12-1-12-111-2-21100000000
χ1222-2-1-11122-2-2-222-111-12-2-1-1-1-11111-1-12-1-121111-2-200000000
χ133333333333-1-1-1-13333-1-1-1-1-1-1-1-1-1-10000000000001111-1-1-1-1
χ143333333333-1-1-1-13333-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-11111
χ153333333-1-1-1−1+2i−1−2i−1+2i−1−2i-1-1-1-11111−1+2i−1−2i11−1+2i−1−2i00000000000011-1-1i−ii−i
χ163333333-1-1-1−1+2i−1−2i−1+2i−1−2i-1-1-1-11111−1+2i−1−2i11−1+2i−1−2i000000000000-1-111−ii−ii
χ173333333-1-1-1−1−2i−1+2i−1−2i−1+2i-1-1-1-11111−1−2i−1+2i11−1−2i−1+2i00000000000011-1-1−ii−ii
χ183333333-1-1-1−1−2i−1+2i−1−2i−1+2i-1-1-1-11111−1−2i−1+2i11−1−2i−1+2i000000000000-1-111i−ii−i
χ1933-333-3-333-311-1-13-3-33-11-1-1-1-111110000000000001-11-1-1-111
χ2033-333-3-333-311-1-13-3-33-11-1-1-1-11111000000000000-11-1111-1-1
χ2133-333-3-3-1-111+2i1−2i−1−2i−1+2i-111-11-111−1−2i−1+2i-1-11+2i1−2i0000000000001-1-11−iii−i
χ2233-333-3-3-1-111+2i1−2i−1−2i−1+2i-111-11-111−1−2i−1+2i-1-11+2i1−2i000000000000-111-1i−i−ii
χ2333-333-3-3-1-111−2i1+2i−1+2i−1−2i-111-11-111−1+2i−1−2i-1-11−2i1+2i0000000000001-1-11i−i−ii
χ2433-333-3-3-1-111−2i1+2i−1+2i−1−2i-111-11-111−1+2i−1−2i-1-11−2i1+2i000000000000-111-1−iii−i
χ254-404-4004-400000400-40000000000111-1-1-1−i3i3−i3i3−i3i300000000
χ264-404-4004-400000400-40000000000111-1-1-1i3−i3i3−i3i3−i300000000
χ274-404-4004-400000400-40000000000-2-2-222200000000000000
χ284-40-22−2i32i34-400000-2−2i32i32000000000011-2-1-12−i3i3i3−i30000000000
χ294-40-22−2i32i34-400000-2−2i32i3200000000001-21-12-1i3−i300−i3i300000000
χ304-40-22−2i32i34-400000-2−2i32i320000000000-2112-1-100−i3i3i3−i300000000
χ314-40-222i3−2i34-400000-22i3−2i32000000000011-2-1-12i3−i3−i3i30000000000
χ324-40-222i3−2i34-400000-22i3−2i3200000000001-21-12-1−i3i300i3−i300000000
χ334-40-222i3−2i34-400000-22i3−2i320000000000-2112-1-100i3−i3−i3i300000000
χ346666666-2-2-22222-2-2-2-2-2-2-2-222-2-22200000000000000000000
χ35666-3-3-3-3666-2-2-2-2-3-3-3-3-2-21111111100000000000000000000
χ36666-3-3-3-3-2-2-222221111-2-21+231−23-1-11+231−23-1-100000000000000000000
χ37666-3-3-3-3-2-2-222221111-2-21−231+23-1-11−231+23-1-100000000000000000000
χ38666-3-3-3-3-2-2-2−2+4i−2−4i−2+4i−2−4i111122-1-11−2i1+2i-1-11−2i1+2i00000000000000000000
χ39666-3-3-3-3-2-2-2−2−4i−2+4i−2−4i−2+4i111122-1-11+2i1−2i-1-11+2i1−2i00000000000000000000
χ4066-666-6-6-2-22-2-222-222-2-22-2-22222-2-200000000000000000000
χ4166-6-3-33366-622-2-2-333-3-221111-1-1-1-100000000000000000000
χ4266-6-3-333-2-22-2-2221-1-11-221+231−23-1-1−1−23−1+231100000000000000000000
χ4366-6-3-333-2-22-2-2221-1-11-221−231+23-1-1−1+23−1−231100000000000000000000
χ4466-6-3-333-2-222+4i2−4i−2−4i−2+4i1-1-112-2-1-11+2i1−2i11−1−2i−1+2i00000000000000000000
χ4566-6-3-333-2-222−4i2+4i−2+4i−2−4i1-1-112-2-1-11−2i1+2i11−1+2i−1−2i00000000000000000000
χ4612-12012-1200-4400000-4004000000000000000000000000000000
χ4712-120-66−6i36i3-440000022i3−2i3-2000000000000000000000000000000
χ4812-120-666i3−6i3-44000002−2i32i3-2000000000000000000000000000000

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