Finite Group Databasebeta

← Group #11794358

Character table — Group #11794358

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11222444444888888991212121216161616181818242424242424242424244848484848487272727272
order12244336612126681212122288882424242424422888824242424662424242444448
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11
χ31111111111111111111-1-1-1-111111111111-1-1-1-1-1-111-1-111-1-1-1-11
χ41111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111-1111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-111-1-1
χ61111111111111-1111111111-1-1-1-1111-1-111-1-11111-1-1-1-1111-1-11-1
χ71111111111111-111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-11111-1-11-1-11-1
χ81111111111111-111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-11111-111-1-1
χ922222222222222222-2-200002222-2-2-200000000000000000000-2
χ102222222222222-2222-2-20000-2-2-2-2-2-2-2000000000000000000002
χ11222-2-22222-2-2220-2-2-222000000002-2-2002i−2i00000000002i−2i00000
χ12222-2-22222-2-2220-2-2-222000000002-2-200−2i2i0000000000−2i2i00000
χ13222-2-22222-2-2220-2-2-2-2-200000000-2222-2000000002-2000000000
χ14222-2-22222-2-2220-2-2-2-2-200000000-222-2200000000-22000000000
χ1522-22-22222-2-2-2-20-2222222-2-20000-22-200000022-2-200000000000
χ1622-22-22222-2-2-2-20-22222-2-2220000-22-2000000-2-22200000000000
χ1722-22-22222-2-2-2-20-222-2-2000000002-2200002i−2i0000002i−2i0000000
χ1822-22-22222-2-2-2-20-222-2-2000000002-220000−2i2i000000−2i2i0000000
χ1922-2-22222222-2-202-2-22200000000-2-220000000000000000200-20
χ2022-2-22222222-2-202-2-22200000000-2-220000000000000000-20020
χ2122-2-22222222-2-202-2-2-2-20000000022-2000000000000000002i−2i00
χ2222-2-22222222-2-202-2-2-2-20000000022-200000000000000000−2i2i00
χ23444441-21-2111-24-21-200222211-2-2000000022-1-1-1-100-1-10000000
χ24444441-21-2111-24-21-200-2-2-2-211-2-20000000-2-2111100110000000
χ25444441-21-2111-2-4-21-2002222-1-1220000000-2-2-1-1-1-100110000000
χ26444441-21-2111-2-4-21-200-2-2-2-2-1-122000000022111100-1-10000000
χ2744444-21-21-2-2-2141-21000000-2-2110002222000000-1-100-1-100000
χ2844444-21-21-2-2-2141-21000000-2-211000-2-2-2-200000011001100000
χ2944444-21-21-2-2-21-41-2100000022-1-100022-2-2000000-1-1001100000
χ3044444-21-21-2-2-21-41-2100000022-1-1000-2-2220000001100-1-100000
χ31444-4-4-21-2122-210-12-1000000003i−3i0002-22i−2i000000-1100−ii00000
χ32444-4-4-21-2122-210-12-1000000003i−3i000-22−2i2i0000001-100i−i00000
χ33444-4-4-21-2122-210-12-100000000−3i3i0002-2−2i2i000000-1100i−i00000
χ34444-4-4-21-2122-210-12-100000000−3i3i000-222i−2i0000001-100−ii00000
χ3544-44-41-21-2-1-1-12021-20022-2-23i−3i0000000002i−2i-1-11100−ii0000000
χ3644-44-41-21-2-1-1-12021-20022-2-2−3i3i000000000−2i2i-1-11100i−i0000000
χ3744-44-41-21-2-1-1-12021-200-2-2223i−3i000000000−2i2i11-1-100i−i0000000
χ3844-44-41-21-2-1-1-12021-200-2-222−3i3i0000000002i−2i11-1-100−ii0000000
χ394-400044-4-4000000004-4002i2−2i20000000000000002i2−2i200000000000
χ404-400044-4-4000000004-400−2i22i2000000000000000−2i22i200000000000
χ414-400044-4-400000000-4422−2200000000000000022−220000000000000
χ424-400044-4-400000000-44−2222000000000000000−22220000000000000
χ43888-8-82-42-4-2-22-404-240000000000000000000000000000000000
χ4488-88-8-42-42444-20-2-420000000000000000000000000000000000
χ4588-8-882-42-422-240-4-240000000000000000000000000000000000
χ4688-8-88-42-42-4-44-2024-20000000000000000000000000000000000
χ478-80002-4-246i−6i0000000022−222i2−2i20000000000000−22−i2i200000000000
χ488-80002-4-246i−6i00000000−2222−2i22i200000000000002−2i2−i200000000000
χ498-80002-4-24−6i6i0000000022−22−2i22i20000000000000−22i2−i200000000000
χ508-80002-4-24−6i6i00000000−22222i2−2i200000000000002−2−i2i200000000000
χ5116-16000-848-4000000000000000000000000000000000000000000

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