Finite Group Databasebeta

← Group #11792423

Character table — Group #11792423

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1122244444444448888888888889918181824242424242424243636484848484848484872727272
order122222233666666666666666666444442244444444661212121212128888
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-11-111-1-1111-1111-1-1-1-1-1-1-1
χ311111111111111111111111111111111-11-11-1-11111-11-1-1-1111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111-1-11-1-1-1-111
χ611111-1-1111111111111-1-1-1-1-1-1-1-1111111-11-1-1-111-1-11-11-1-1-11111-1-1
χ711111-1-1111111111111-1-1-1-1-1-1-1-111111-11-1111-1-1-1-1-11-1111-1-111-1-1
χ811111-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-111-1-111
χ9222222222222222222222222222-2-2-2-2-200000000-2-2000000000000
χ1022222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-20000000022000000000000
χ11222-2-2002222-2-2-2-222-2-20000000022-2-22000000000000000000002-2
χ12222-2-2002222-2-2-2-222-2-20000000022-2-2200000000000000000000-22
χ13222-2-2002222-2-2-2-222-2-200000000-2-222-20000000000000000002i−2i00
χ14222-2-2002222-2-2-2-222-2-200000000-2-222-2000000000000000000−2i2i00
χ1522-22-200222222-2-2-2-22-200000000222-2-20000002-2000000002-20000
χ1622-22-200222222-2-2-2-22-200000000222-2-2000000-2200000000-220000
χ1722-22-200222222-2-2-2-22-200000000-2-2-222020-200000002000-2000000
χ1822-22-200222222-2-2-2-22-200000000-2-2-2220-2020000000-20002000000
χ1922-2-22002222-2-222-2-2-220000000022-22-200002-200000002-20000000
χ2022-2-22002222-2-222-2-2-220000000022-22-20000-220000000-220000000
χ2122-2-22002222-2-222-2-2-2200000000-2-22-2220-2000000020-2000000000
χ2222-2-22002222-2-222-2-2-2200000000-2-22-22-2020000000-202000000000
χ2344444441-21-211-2-21-2-211111-2-2-2-20000002020022000-1000-1-1-10000
χ2444444441-21-211-2-21-2-211111-2-2-2-2000000-20-200-2-200010001110000
χ254444444-21-21-2-211-211-2-2-2-2-21111000002020220000-10-1-1-10000000
χ264444444-21-21-2-211-211-2-2-2-2-2111100000-20-20-2-20000101110000000
χ2744444-4-41-21-211-2-21-2-21-1-1-1-1222200000020200-2-2000-1000-1110000
χ2844444-4-41-21-211-2-21-2-21-1-1-1-12222000000-20-2002200010001-1-10000
χ2944444-4-4-21-21-2-211-211-22222-1-1-1-1000002020-2-20000-10-1110000000
χ3044444-4-4-21-21-2-211-211-22222-1-1-1-100000-20-20220000101-1-10000000
χ3144-44-4001-21-21122-12-2-133-3-3000000000020-2002-2000-10001-110000
χ3244-44-4001-21-21122-12-2-133-3-30000000000-20200-220001000-11-10000
χ3344-44-4001-21-21122-12-2-1-3-333000000000020-200-22000-100011-10000
χ3444-44-4001-21-21122-12-2-1-3-3330000000000-202002-20001000-1-110000
χ3544-4-4400-21-2122112-1-1-2000033-3-30000020-202-20000-101-110000000
χ3644-4-4400-21-2122112-1-1-2000033-3-300000-2020-22000010-11-10000000
χ3744-4-4400-21-2122112-1-1-20000-3-3330000020-20-220000-1011-10000000
χ3844-4-4400-21-2122112-1-1-20000-3-33300000-20202-2000010-1-110000000
χ394-40002-244-4-4000000002-22-22-22-24i−4i000000000002i−2i000000000000
χ404-40002-244-4-4000000002-22-22-22-2−4i4i00000000000−2i2i000000000000
χ414-4000-2244-4-400000000-22-22-22-224i−4i00000000000−2i2i000000000000
χ424-4000-2244-4-400000000-22-22-22-22−4i4i000000000002i−2i000000000000
χ43888-8-8002-42-4-2-2442-44-200000000000000000000000000000000000
χ44888-8-800-42-4244-2-2-42-2400000000000000000000000000000000000
χ4588-88-800-42-42-4-4-2-24-22400000000000000000000000000000000000
χ4688-8-88002-42-4-2-2-4-4-244200000000000000000000000000000000000
χ478-80004-42-4-246-60000004-4-22-22-22000000000000000000000000000
χ488-80004-42-4-24-66000000-224-4-22-22000000000000000000000000000
χ498-80004-4-424-2006-60000-22-224-4-22000000000000000000000000000
χ508-80004-4-424-200-660000-22-22-224-4000000000000000000000000000
χ518-8000-442-4-246-6000000-442-22-22-2000000000000000000000000000
χ528-8000-442-4-24-660000002-2-442-22-2000000000000000000000000000
χ538-8000-44-424-2006-600002-22-2-442-2000000000000000000000000000
χ548-8000-44-424-200-6600002-22-22-2-44000000000000000000000000000

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