Finite Group Databasebeta

← Group #11886552

Character table — Group #11886552

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1122244444466668888889912121212121212121212161616161818181818242424242424242424243636363636484848487272
order124883344664444121224242424222288881212121212121212444882222662424242444488666644
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-1-1111111111-111-1-111-1-11111-1-111111-1-11-111-1-111-1-1-111-1-1-1-1
χ311111111111-1-11111111111-11-1-111-1-1111111-1-1111-1-111-11-1-11111-1-1-1-1-111-1-1
χ411111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111
χ51111111-1-1111111111111111111111111-1-1-1-111111-1-1-1-1111111-1-1111-1-1-1-1-1-1
χ61111111-1-11111-1-1111111111-111-1-111-1-1-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-1-1-1-11111
χ71111111-1-111-1-11111111111-11-1-111-1-111-1-1-1-1-1-111111-1-1-11-1-111-1-1-1-1-111-1-111
χ81111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-1
χ9111-1-1111-111111111-1-1-1-11111-1-1-1-1111111-1-1111-1-11-11-111-1-1-1-11-11-1-11-11-11-1
χ10111-1-1111-11111-1-111-1-1-1-1111-1-1-11111-1-111-1-1-1-11-1-11-1-111-1-1-1111-1-1111-1-11-11
χ11111-1-1111-111-1-11111-1-1-1-111-1111-1-1-1-11111-1-1-1-11-1-1-111-1-1111-1-11-1-111-111-1-11
χ12111-1-1111-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111-1-1-11-11-1-111111-11-1-1-11-111-1
χ13111-1-111-1111111111-1-1-1-11111-1-1-1-11111-1-111111-1-1-11-1111-1-1-1-1-111-1-1-11-11-11
χ14111-1-111-111111-1-111-1-1-1-1111-1-1-11111-1-1-1-111-1-11-1-1-111-11-1-1-111-11-111-111-11-1
χ15111-1-111-1111-1-11111-1-1-1-111-1111-1-1-1-111-1-111-1-11-1-11-1-11-1111-1-1-11-1111-1-111-1
χ16111-1-111-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111111-1-11-11-1-1-11111-111-1-11-11-1-11
χ17222222222220000222222-2-20000000000222200-2-2-20000000000-2-2000000000
χ182222222-2-2220000222222-2-20000000000-2-2-2-200-2-2-2000000000022000000000
χ19222-2-2222-222000022-2-2-2-2-2-2000000000022-2-200-2220000000000-22000000000
χ20222-2-222-2222000022-2-2-2-2-2-20000000000-2-22200-22200000000002-2000000000
χ2122-2002200222222-2-2000022-2-200002222000022-2000000-2-2000000-200000000
χ2222-20022002222-2-2-2-2000022-22000022-2-20000-2-2-2000000-22000000200000000
χ2322-200220022-2-222-2-20000222-20000-2-2220000-2-2-20000002-2000000200000000
χ2422-200220022-2-2-2-2-2-2000022220000-2-2-2-2000022-200000022000000-200000000
χ252-202−22200-2-22i−2i2i−2i0022−2−22-200i2−i2i2−i22i−2i2i−2i00002-202−2000000i2−i2i2−i20002−2000000
χ262-202−22200-2-22i−2i−2i2i0022−2−22-200i2−i2−i2i22i−2i−2i2i0000-2202−2000000i2−i2−i2i2000−22000000
χ272-202−22200-2-2−2i2i2i−2i0022−2−22-200−i2i2i2−i2−2i2i2i−2i0000-2202−2000000−i2i2i2−i2000−22000000
χ282-202−22200-2-2−2i2i−2i2i0022−2−22-200−i2i2−i2i2−2i2i−2i2i00002-202−2000000−i2i2−i2i20002−2000000
χ292-20−222200-2-22i−2i2i−2i00−2−2222-200−i2i2−i2i22i−2i2i−2i00002-20−22000000−i2i2−i2i2000−22000000
χ302-20−222200-2-22i−2i−2i2i00−2−2222-200−i2i2i2−i22i−2i−2i2i0000-220−22000000−i2i2i2−i20002−2000000
χ312-20−222200-2-2−2i2i2i−2i00−2−2222-200i2−i2−i2i2−2i2i2i−2i0000-220−22000000i2−i2−i2i20002−2000000
χ322-20−222200-2-2−2i2i−2i2i00−2−2222-200i2−i2i2−i2−2i2i−2i2i00002-20−22000000i2−i2i2−i2000−22000000
χ33444441-2441-200221-21-21-20002002200-1-11-21-20000000220-100-1-10000000-1-100
χ34444441-2441-200-2-21-21-21-2000-200-2-200111-21-20000000-2-201001100000001100
χ35444441-2-4-41-200221-21-21-20002002200-1-1-12-120000000-2-20-100-1-100000001100
χ36444441-2-4-41-200-2-21-21-21-2000-200-2-20011-12-120000000220100110000000-1-100
χ3744444-2144-212200-21-21-2100202200-1-100-21-21000002200-10-1-10000000-1-10000
χ3844444-2144-21-2-200-21-21-2100-20-2-2001100-21-2100000-2-20010110000000110000
χ3944444-21-4-4-212200-21-21-2100202200-1-1002-12-100000-2-200-10-1-10000000110000
χ4044444-21-4-4-21-2-200-21-21-2100-20-2-20011002-12-100000220010110000000-1-10000
χ41444-4-41-24-41-200221-2-12-12000200-2-200-1-11-2-1200000002-20-100110000000-1100
χ42444-4-41-24-41-200-2-21-2-12-12000-2002200111-2-120000000-220100-1-100000001-100
χ43444-4-41-2-441-200221-2-12-12000200-2-200-1-1-121-20000000-220-1001100000001-100
χ44444-4-41-2-441-200-2-21-2-12-12000-200220011-121-200000002-20100-1-10000000-1100
χ45444-4-4-214-4-212200-212-12-10020-2-200-1-100-212-1000002-200-10110000000-110000
χ46444-4-4-214-4-21-2-200-212-12-100-2022001100-212-100000-220010-1-100000001-10000
χ47444-4-4-21-44-212200-212-12-10020-2-200-1-1002-1-2100000-2200-101100000001-10000
χ48444-4-4-21-44-21-2-200-212-12-100-20220011002-1-21000002-20010-1-10000000-110000
χ4944-4004400440000-4-40000-4-40000000000000000400000000000000000000000
χ504-4022−224400-4-40000002222−22−22-4400000000000000000−2222000000000000000000000
χ514-40−22224400-4-4000000−22−222222-440000000000000000022−22000000000000000000000
χ5288-8002-4002-40044-240000000-4000000-2-2000000000000002000000000000000
χ5388-8002-4002-400-4-4-24000000040000002200000000000000-2000000000000000
χ5488-800-4200-4244004-2000000-400000-2-200000000000000020000000000000000
χ5588-800-4200-42-4-4004-200000040000022000000000000000-20000000000000000
χ568-8042−422-400-24004i−4i002−22−2220000002i2−2i200−2i2i00000000000000000−i2i200000000000
χ578-8042−422-400-2400−4i4i002−22−222000000−2i22i2002i−2i00000000000000000i2−i200000000000
χ588-8042−42-42004-24i−4i0000−22222−200002i2−2i200−2i2i00000000000000000−i2i20000000000000
χ598-8042−42-42004-2−4i4i0000−22222−20000−2i22i2002i−2i00000000000000000i2−i20000000000000
χ608-80−42422-400-24004i−4i00−2222−22000000−2i22i200−2i2i00000000000000000i2−i200000000000
χ618-80−42422-400-2400−4i4i00−2222−220000002i2−2i2002i−2i00000000000000000−i2i200000000000
χ628-80−4242-42004-24i−4i000022−2−2220000−2i22i200−2i2i00000000000000000i2−i20000000000000
χ638-80−4242-42004-2−4i4i000022−2−22200002i2−2i2002i−2i00000000000000000−i2i20000000000000

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