Finite Group Databasebeta

← Group #11793122

Character table — Group #11793122

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11222444444888888991212121216161616181818242424242424242424244848484848487272727272
order1222233666646666644444412121212444244444121212126121212121248888
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-111-1-11-1-1-1-1
χ31111111111111111111-1-1-1-111111111111-1-1-1-1-1-111-1-1111-1-1-1-1
χ41111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111-111111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-111
χ611111111111-111111111111-1-1-1-1111-1-111-1-11111-1-1-1-111-111-1-1
χ711111111111-11111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-11111-1-1-111-1-1
χ811111111111-11111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-11111-1-1-111
χ922222222222222222-2-200002222-2-2-20000000000000000-20000
χ1022222222222-222222-2-20000-2-2-2-2-2-2-2000000000000000020000
χ11222-2-22222-2-202-22-2-22200000000-2-22002i−2i00000000002i−2i00000
χ12222-2-22222-2-202-22-2-22200000000-2-2200−2i2i0000000000−2i2i00000
χ13222-2-22222-2-202-22-2-2-2-20000000022-22-2000000002-2000000000
χ14222-2-22222-2-202-22-2-2-2-20000000022-2-2200000000-22000000000
χ1522-22-22222-2-20-22-2-2222000000002-2-200000000000000000002i−2i
χ1622-22-22222-2-20-22-2-2222000000002-2-20000000000000000000−2i2i
χ1722-22-22222-2-20-22-2-22-2-200000000-222000000000000000002i−2i00
χ1822-22-22222-2-20-22-2-22-2-200000000-22200000000000000000−2i2i00
χ1922-2-222222220-2-2-22-22200000000-22-200002-20000002-20000000
χ2022-2-222222220-2-2-22-22200000000-22-20000-22000000-220000000
χ2122-2-222222220-2-2-22-2-2-222-2-200002-2200000022-2-200000000000
χ2222-2-222222220-2-2-22-2-2-2-2-22200002-22000000-2-22200000000000
χ23444441-21-211411-2-2-200222211-2-2000000022-1-1-1-100-1-10000000
χ24444441-21-211411-2-2-200-2-2-2-211-2-20000000-2-2111100110000000
χ25444441-21-211-411-2-2-2002222-1-1220000000-2-2-1-1-1-100110000000
χ26444441-21-211-411-2-2-200-2-2-2-2-1-122000000022111100-1-10000000
χ2744444-21-21-2-24-2-2111000000-2-2110002222000000-1-100-1-100000
χ2844444-21-21-2-24-2-2111000000-2-211000-2-2-2-200000011001100000
χ2944444-21-21-2-2-4-2-211100000022-1-100022-2-2000000-1-1001100000
χ3044444-21-21-2-2-4-2-211100000022-1-1000-2-2220000001100-1-100000
χ31444-4-4-21-21220-221-1-1000000003i−3i0002-22i−2i000000-1100−ii00000
χ32444-4-4-21-21220-221-1-1000000003i−3i000-22−2i2i0000001-100i−i00000
χ33444-4-4-21-21220-221-1-100000000−3i3i0002-2−2i2i000000-1100i−i00000
χ34444-4-4-21-21220-221-1-100000000−3i3i000-222i−2i0000001-100−ii00000
χ3544-4-441-21-2110-1-12-220022-2-23-30000000002-2-1-11100-110000000
χ3644-4-441-21-2110-1-12-220022-2-2-33000000000-22-1-111001-10000000
χ3744-4-441-21-2110-1-12-2200-2-2223-3000000000-2211-1-1001-10000000
χ3844-4-441-21-2110-1-12-2200-2-222-330000000002-211-1-100-110000000
χ394-400044-4-4000000004i−4i2i−2i2-200000000000002i−2i2-200000000000
χ404-400044-4-4000000004i−4i−2i2i-220000000000000−2i2i-2200000000000
χ414-400044-4-400000000−4i4i2i−2i-2200000000000002i−2i-2200000000000
χ424-400044-4-400000000−4i4i−2i2i2-20000000000000−2i2i2-200000000000
χ43888-8-82-42-4-2-202-2-4440000000000000000000000000000000000
χ4488-88-82-42-4-2-20-2244-40000000000000000000000000000000000
χ4588-88-8-42-424404-4-2-220000000000000000000000000000000000
χ4688-8-88-42-42-4-4044-22-20000000000000000000000000000000000
χ478-80002-4-246-600000000004-4000000000000000-2200000000000
χ488-80002-4-246-60000000000-440000000000000002-200000000000
χ498-80002-4-24-66000000004i−4i000000000000000−2i2i0000000000000
χ508-80002-4-24-6600000000−4i4i0000000000000002i−2i0000000000000
χ5116-16000-848-4000000000000000000000000000000000000000000

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