Finite Group Databasebeta

← Group #11793840

Character table — Group #11793840

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122244444488888816161616181818182424242424242424242424244848484848487272727272
order122443366121266812121224242424224424448888242424246121212242444888
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1
χ31111111111111111111111111-1-1-1-111111111-1-1-1-111-1-11-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111-1111-1-1-1-1111111-1-111-1-1111111-1-1-1-111-1-1-1
χ61111111111111-1111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1-111
χ71111111111111-1111-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-1-111
χ81111111111111-1111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-1-1
χ9222222222222222222222-2-2-2-200000000000000000000-200
χ102222222222222-2222-2-2-2-2-2-2-2-200000000000000000000200
χ11222-2-22222-2-2220-2-2-2000022-2-20000000000000000000002i−2i
χ12222-2-22222-2-2220-2-2-2000022-2-2000000000000000000000−2i2i
χ13222-2-22222-2-2220-2-2-20000-2-2220000000000000000002i−2i000
χ14222-2-22222-2-2220-2-2-20000-2-222000000000000000000−2i2i000
χ1522-22-22222-2-2-2-202-2200002-22-20000002i−2i000000002i−2i00000
χ1622-22-22222-2-2-2-202-2200002-22-2000000−2i2i00000000−2i2i00000
χ1722-22-22222-2-2-2-202-220000-22-2200002-20022-2-200000000000
χ1822-22-22222-2-2-2-202-220000-22-220000-2200-2-22200000000000
χ1922-2-22222222-2-20-22-200002-2-222-200000000002-2000000000
χ2022-2-22222222-2-20-22-200002-2-22-220000000000-22000000000
χ2122-2-22222222-2-20-22-20000-222-2002-200000000002-20000000
χ2222-2-22222222-2-20-22-20000-222-200-220000000000-220000000
χ23444441-21-2111-24-2-2111-2-2000000002222-1-1-1-10000-1-100000
χ24444441-21-2111-24-2-2111-2-200000000-2-2-2-2111100001100000
χ25444441-21-2111-2-4-2-21-1-1220000000022-2-2-1-1-1-100001100000
χ26444441-21-2111-2-4-2-21-1-12200000000-2-22211110000-1-100000
χ2744444-21-21-2-2-21411-2-2-2110000222200000000-1-1-1-10000000
χ2844444-21-21-2-2-21411-2-2-2110000-2-2-2-20000000011110000000
χ2944444-21-21-2-2-21-411-222-1-1000022-2-200000000-1-1110000000
χ3044444-21-21-2-2-21-411-222-1-10000-2-2220000000011-1-10000000
χ3144-44-41-21-2-1-1-120-2213i−3i00000000002-22i−2i-1-1110000−ii00000
χ3244-44-41-21-2-1-1-120-2213i−3i0000000000-22−2i2i11-1-10000i−i00000
χ3344-44-41-21-2-1-1-120-221−3i3i00000000002-2−2i2i-1-1110000i−i00000
χ3444-44-41-21-2-1-1-120-221−3i3i0000000000-222i−2i11-1-10000−ii00000
χ3544-4-44-21-21-2-22-10-112003-300002-22-200000000-11-110000000
χ3644-4-44-21-21-2-22-10-112003-30000-22-22000000001-11-10000000
χ3744-4-44-21-21-2-22-10-11200-3300002-2-2200000000-111-10000000
χ3844-4-44-21-21-2-22-10-11200-330000-222-2000000001-1-110000000
χ39888-8-82-42-4-2-22-4044-20000000000000000000000000000000
χ40888-8-8-42-4244-420-2-240000000000000000000000000000000
χ4188-88-8-42-42444-202-2-40000000000000000000000000000000
χ4288-8-882-42-422-2404-4-20000000000000000000000000000000
χ438-80002-4-246i−6i00000000000000000000006−6i6−i600000000000
χ448-80002-4-246i−6i0000000000000000000000−66−i6i600000000000
χ458-80002-4-24−6i6i00000000000000000000006−6−i6i600000000000
χ468-80002-4-24−6i6i0000000000000000000000−66i6−i600000000000
χ478-800088-8-8000000000000000000000000000000000000000
χ4816-16000-848-4000000000000000000000000000000000000000

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