Finite Group Databasebeta

← Group #11794618

Character table — Group #11794618

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122244444488888816161616181818182424242424242424242424244848484848487272727272
order12244336612126681212122424242422442288888824242424662424242488888
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1
χ31111111111111111111111111-1-1-1-111111111-1-111-1-11-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111-1111-1-1-1-1111111-1-111-1-1111111-1-1-1-1-111-1-1
χ61111111111111-1111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-111
χ71111111111111-1111-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1-111
χ81111111111111-1111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-111-1-1
χ9222222222222222222222-2-2-2-2000000000000000000-20000
χ102222222222222-2222-2-2-2-2-2-2-2-200000000000000000020000
χ11222-2-22222-2-2220-2-2-2000022-2-22-200000000002-2000000000
χ12222-2-22222-2-2220-2-2-2000022-2-2-220000000000-22000000000
χ13222-2-22222-2-2220-2-2-20000-2-222002i−2i0000000000002i−2i00000
χ14222-2-22222-2-2220-2-2-20000-2-22200−2i2i000000000000−2i2i00000
χ1522-22-22222-2-2-2-20-22200002-22-20000002i−2i0000002i−2i0000000
χ1622-22-22222-2-2-2-20-22200002-22-2000000−2i2i000000−2i2i0000000
χ1722-22-22222-2-2-2-20-2220000-22-2200002-20022-2-200000000000
χ1822-22-22222-2-2-2-20-2220000-22-220000-2200-2-22200000000000
χ1922-2-22222222-2-202-2-200002-2-220000000000000000000002-2
χ2022-2-22222222-2-202-2-200002-2-22000000000000000000000-22
χ2122-2-22222222-2-202-2-20000-222-200000000000000000002i−2i00
χ2222-2-22222222-2-202-2-20000-222-20000000000000000000−2i2i00
χ23444441-21-2111-24-21-211-2-2000000002222-1-1-1-100-1-10000000
χ24444441-21-2111-24-21-211-2-200000000-2-2-2-2111100110000000
χ25444441-21-2111-2-4-21-2-1-1220000000022-2-2-1-1-1-100110000000
χ26444441-21-2111-2-4-21-2-1-12200000000-2-222111100-1-10000000
χ2744444-21-21-2-2-2141-21-2-2110000222200000000-1-100-1-100000
χ2844444-21-21-2-2-2141-21-2-2110000-2-2-2-20000000011001100000
χ2944444-21-21-2-2-21-41-2122-1-1000022-2-200000000-1-1001100000
χ3044444-21-21-2-2-21-41-2122-1-10000-2-222000000001100-1-100000
χ31444-4-4-21-2122-210-12-1003i−3i00002-22i−2i00000000-1100−ii00000
χ32444-4-4-21-2122-210-12-1003i−3i0000-22−2i2i000000001-100i−i00000
χ33444-4-4-21-2122-210-12-100−3i3i00002-2−2i2i00000000-1100i−i00000
χ34444-4-4-21-2122-210-12-100−3i3i0000-222i−2i000000001-100−ii00000
χ3544-44-41-21-2-1-1-12021-23i−3i00000000002-22i−2i-1-11100−ii0000000
χ3644-44-41-21-2-1-1-12021-23i−3i0000000000-22−2i2i11-1-100i−i0000000
χ3744-44-41-21-2-1-1-12021-2−3i3i00000000002-2−2i2i-1-11100i−i0000000
χ3844-44-41-21-2-1-1-12021-2−3i3i0000000000-222i−2i11-1-100−ii0000000
χ39888-8-82-42-4-2-22-404-240000000000000000000000000000000
χ4088-88-8-42-42444-20-2-420000000000000000000000000000000
χ4188-8-882-42-422-240-4-240000000000000000000000000000000
χ4288-8-88-42-42-4-44-2024-20000000000000000000000000000000
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).