Finite Group Databasebeta

← Group #11874270

Character table — Group #11874270

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11222444488888899181818181818181818181824242424484848481122244448888889918181818181818181818182424242448484848
order1248833661212242424242244444888888224466121222488666612122424242422444448888882244661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1111-1-1-1-111-1-111-1-111111111111111111-1-1-1-1111-1-1-1-111-1-111-1-1
χ411111111111111111-1-1-1-1111-1-1-1-1-1-111-1-11111111111111111111-1-1-1-1111-1-1-1-1-1-111-1-111
χ5111-1-1111111-1-1-1-11111111-1-1-1-1-1-11-11-11-11-1111-1-1111111-1-1-1-11111111-1-1-1-1-1-11-11-11-11-1
χ6111-1-1111111-1-1-1-11111111-1-1-1-1-1-1-11-11-11-11111-1-1111111-1-1-1-11111111-1-1-1-1-1-1-11-11-11-11
χ7111-1-1111111-1-1-1-111-1-1-1-11-1-111111-1-111-1-11111-1-1111111-1-1-1-111-1-1-1-11-1-111111-1-111-1-11
χ8111-1-1111111-1-1-1-111-1-1-1-11-1-11111-111-1-111-1111-1-1111111-1-1-1-111-1-1-1-11-1-11111-111-1-111-1
χ9222222222222222-2-20000-2-2-2000000000000222222222222222-2-20000-2-2-2000000000000
χ10222-2-2222222-2-2-2-2-2-20000-222000000000000222-2-2222222-2-2-2-2-2-20000-222000000000000
χ1122-2002222-2-200002222-2-2-20000000000000022-2002222-2-200002222-2-2-200000000000000
χ1222-2002222-2-2000022-2-222-20000000000000022-2002222-2-2000022-2-222-200000000000000
χ1322-2002222-2-20000-2-2000020022-2-20000000022-2002222-2-20000-2-2000020022-2-200000000
χ1422-2002222-2-20000-2-20000200-2-2220000000022-2002222-2-20000-2-20000200-2-22200000000
χ152-202−222-2-20022−2−22-2002i−2i02−2i2−i2i2−i2000000002-202−222-2-20022−2−22-2002i−2i02−2i2−i2i2−i200000000
χ162-202−222-2-20022−2−22-200−2i2i02−2−i2i2−i2i2000000002-202−222-2-20022−2−22-200−2i2i02−2−i2i2−i2i200000000
χ172-202−222-2-20022−2−2-222i−2i000−22i2−i2−i2i2000000002-202−222-2-20022−2−2-222i−2i000−22i2−i2−i2i200000000
χ182-202−222-2-20022−2−2-22−2i2i000−22−i2i2i2−i2000000002-202−222-2-20022−2−2-22−2i2i000−22−i2i2i2−i200000000
χ192-20−2222-2-200−2−2222-2002i−2i0−22−i2i2−i2i2000000002-20−2222-2-200−2−2222-2002i−2i0−22−i2i2−i2i200000000
χ202-20−2222-2-200−2−2222-200−2i2i0−22i2−i2i2−i2000000002-20−2222-2-200−2−2222-200−2i2i0−22i2−i2i2−i200000000
χ212-20−2222-2-200−2−222-222i−2i0002−2−i2i2i2−i2000000002-20−2222-2-200−2−222-222i−2i0002−2−i2i2i2−i200000000
χ222-20−2222-2-200−2−222-22−2i2i0002−2i2−i2−i2i2000000002-20−2222-2-200−2−222-22−2i2i0002−2i2−i2−i2i200000000
χ23444441-2-21-211-21-20000000000000002200-1-1444441-2-21-211-21-20000000000000002200-1-1
χ24444441-2-21-211-21-2000000000000000-2-20011444441-2-21-211-21-2000000000000000-2-20011
χ2544444-211-21-2-21-2100000000000002200-1-10044444-211-21-2-21-2100000000000002200-1-100
χ2644444-211-21-2-21-210000000000000-2-200110044444-211-21-2-21-210000000000000-2-2001100
χ27444-4-41-2-21-21-12-120000000000000002-200-11444-4-41-2-21-21-12-120000000000000002-200-11
χ28444-4-41-2-21-21-12-12000000000000000-22001-1444-4-41-2-21-21-12-12000000000000000-22001-1
χ29444-4-4-211-21-22-12-100000000000002-200-1100444-4-4-211-21-22-12-100000000000002-200-1100
χ30444-4-4-211-21-22-12-10000000000000-22001-100444-4-4-211-21-22-12-10000000000000-22001-100
χ3188-8002-4-424-2000000000000000000000000088-8002-4-424-20000000000000000000000000
χ3288-800-422-4-24000000000000000000000000088-800-422-4-240000000000000000000000000
χ338-8042−422-44-2002−22−2220000000000000000000008-8042−422-44-2002−22−222000000000000000000000
χ348-8042−42-42-2400−22222−20000000000000000000008-8042−42-42-2400−22222−2000000000000000000000
χ358-80−42422-44-200−2222−220000000000000000000008-80−42422-44-200−2222−22000000000000000000000
χ368-80−4242-42-240022−2−2220000000000000000000008-80−4242-42-240022−2−222000000000000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3911111111111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111-1-111
χ4011111111111111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-111-1-1
χ41111-1-1111111-1-1-1-11111111-1-1-1-1-1-11-11-11-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-11-11-11-11
χ42111-1-1111111-1-1-1-11111111-1-1-1-1-1-1-11-11-11-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-11-11-11-1
χ43111-1-1111111-1-1-1-111-1-1-1-11-1-111111-1-111-1-11-1-1-111-1-1-1-1-1-11111-1-11111-111-1-1-1-1-111-1-111-1
χ44111-1-1111111-1-1-1-111-1-1-1-11-1-11111-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-111-1-1-1-11-1-111-1-11
χ45222222222222222-2-20000-2-2-2000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000222000000000000
χ46222-2-2222222-2-2-2-2-2-20000-222000000000000-2-2-222-2-2-2-2-2-222222200002-2-2000000000000
χ4722-2002222-2-200002222-2-2-200000000000000-2-2200-2-2-2-2220000-2-2-2-222200000000000000
χ4822-2002222-2-2000022-2-222-200000000000000-2-2200-2-2-2-2220000-2-222-2-2200000000000000
χ4922-2002222-2-20000-2-2000020022-2-200000000-2-2200-2-2-2-2220000220000-200-2-22200000000
χ5022-2002222-2-20000-2-20000200-2-22200000000-2-2200-2-2-2-2220000220000-20022-2-200000000
χ512-202−222-2-20022−2−22-2002i−2i02−2i2−i2i2−i200000000-220−22-2-22200−2−222-2200−2i2i0−22−i2i2−i2i200000000
χ522-202−222-2-20022−2−22-200−2i2i02−2−i2i2−i2i200000000-220−22-2-22200−2−222-22002i−2i0−22i2−i2i2−i200000000
χ532-202−222-2-20022−2−2-222i−2i000−22i2−i2−i2i200000000-220−22-2-22200−2−2222-2−2i2i0002−2−i2i2i2−i200000000
χ542-202−222-2-20022−2−2-22−2i2i000−22−i2i2i2−i200000000-220−22-2-22200−2−2222-22i−2i0002−2i2−i2−i2i200000000
χ552-20−2222-2-200−2−2222-2002i−2i0−22−i2i2−i2i200000000-2202−2-2-2220022−2−2-2200−2i2i02−2i2−i2i2−i200000000
χ562-20−2222-2-200−2−2222-200−2i2i0−22i2−i2i2−i200000000-2202−2-2-2220022−2−2-22002i−2i02−2−i2i2−i2i200000000
χ572-20−2222-2-200−2−222-222i−2i0002−2−i2i2i2−i200000000-2202−2-2-2220022−2−22-2−2i2i000−22i2−i2−i2i200000000
χ582-20−2222-2-200−2−222-22−2i2i0002−2i2−i2−i2i200000000-2202−2-2-2220022−2−22-22i−2i000−22−i2i2i2−i200000000
χ59444441-2-21-211-21-20000000000000002200-1-1-4-4-4-4-4-122-12-1-12-12000000000000000-2-20011
χ60444441-2-21-211-21-2000000000000000-2-20011-4-4-4-4-4-122-12-1-12-120000000000000002200-1-1
χ6144444-211-21-2-21-2100000000000002200-1-100-4-4-4-4-42-1-12-122-12-10000000000000-2-2001100
χ6244444-211-21-2-21-210000000000000-2-2001100-4-4-4-4-42-1-12-122-12-100000000000002200-1-100
χ63444-4-41-2-21-21-12-120000000000000002-200-11-4-4-444-122-12-11-21-2000000000000000-22001-1
χ64444-4-41-2-21-21-12-12000000000000000-22001-1-4-4-444-122-12-11-21-20000000000000002-200-11
χ65444-4-4-211-21-22-12-100000000000002-200-1100-4-4-4442-1-12-12-21-210000000000000-22001-100
χ66444-4-4-211-21-22-12-10000000000000-22001-100-4-4-4442-1-12-12-21-2100000000000002-200-1100
χ6788-8002-4-424-20000000000000000000000000-8-8800-244-2-420000000000000000000000000
χ6888-800-422-4-240000000000000000000000000-8-88004-2-242-40000000000000000000000000
χ698-8042−422-44-2002−22−222000000000000000000000-880−4242-24-4200−2222−22000000000000000000000
χ708-8042−42-42-2400−22222−2000000000000000000000-880−42424-22-40022−2−222000000000000000000000
χ718-80−42422-44-200−2222−22000000000000000000000-88042−42-24-42002−22−222000000000000000000000
χ728-80−4242-42-240022−2−222000000000000000000000-88042−424-22-400−22222−2000000000000000000000

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