Finite Group Databasebeta

← Group #11898400

Character table — Group #11898400

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444888812121212161616161818181818181818181824242424242424242424242424243636363636363648484848
order122244334466666612121212444412121212444444888822444412121212121212124888888661212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-1-11-111-1-111-1-111-1-11-1-1-1-1-1-11-11-1
χ311111111111111111111-1-1111111111111-1-1-1-1-11-1-111-1-111-1-1111-1-1-1-1-1-1-11-11
χ411111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ511111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-11-11-111111111111-1-1-1-1-1-1-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111-1-111-1-11-1-11111-11-11
χ711111111-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-111-1-1111-1-111111-11-1
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1-1-1-1-1111-1-1-1-11111
χ91111-1-1111-1111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-111-1-111-1-1
χ101111-1-1111-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-111-111-1-1111-1-11
χ111111-1-1111-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-1-111-1-111-111-1
χ121111-1-1111-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-111-1-1-1-111
χ131111-1-111-11111111-1-1-1-11111-1-11111-1-1111111-1-1-11-111111-1-1-1-1-1-1-1-1-111-1-111
χ141111-1-111-11111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-11-111-111-1-1-1-111-11111-1-1-111-1
χ151111-1-111-11111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11-11-1-11-1-11111-1-1-11111-1-11-1-11
χ161111-1-111-11111111-1-1-1-1-1-1-1-1-1-11111-1-1111111111-11-1-1-1-1-11111-1-1-1-1-11111-1-1
χ172222222222222222222200002222-2-2-2-2-2-2000000000000000000-20000000000
χ1822222222-2-222222222220000-2-2-2-22222-2-2000000000000000000-20000000000
χ192222-2-2222-2222222-2-2-2-2000022-2-222-2-2-2-200000000000000000020000000000
χ202222-2-222-22222222-2-2-2-20000-2-222-2-222-2-200000000000000000020000000000
χ212-22-22i−2i2200-2-222-2-22i2i−2i−2i000000002i−2i2-20022−2−2000000000000000−i2i22−2−i2i20000
χ222-22-22i−2i2200-2-222-2-22i2i−2i−2i000000002i−2i2-200−2−222000000000000000i2−i2−22i2−i20000
χ232-22-22i−2i2200-2-222-2-22i2i−2i−2i00000000−2i2i-220022−2−2000000000000000−i2i2−22i2−i20000
χ242-22-22i−2i2200-2-222-2-22i2i−2i−2i00000000−2i2i-2200−2−222000000000000000i2−i22−2−i2i20000
χ252-22-2−2i2i2200-2-222-2-2−2i−2i2i2i000000002i−2i-220022−2−2000000000000000i2−i2−22−i2i20000
χ262-22-2−2i2i2200-2-222-2-2−2i−2i2i2i000000002i−2i-2200−2−222000000000000000−i2i22−2i2−i20000
χ272-22-2−2i2i2200-2-222-2-2−2i−2i2i2i00000000−2i2i2-20022−2−2000000000000000i2−i22−2i2−i20000
χ282-22-2−2i2i2200-2-222-2-2−2i−2i2i2i00000000−2i2i2-200−2−222000000000000000−i2i2−22−i2i20000
χ292-2-22002200-2-2-2-22200002i−2i2i−2i000000002-22-22-20000002i−2i2i−2i000000000000000
χ302-2-22002200-2-2-2-22200002i−2i−2i2i000000002-2-22-220000002i−2i−2i2i000000000000000
χ312-2-22002200-2-2-2-2220000−2i2i2i−2i000000002-2-22-22000000−2i2i2i−2i000000000000000
χ322-2-22002200-2-2-2-2220000−2i2i−2i2i000000002-22-22-2000000−2i2i−2i2i000000000000000
χ334444441-2441-21-21-21-21-200221-21-2000000000002002200-1-100-1-100000000-10-1
χ344444441-2441-21-21-21-21-200-2-21-21-200000000000-200-2-20011001100000000101
χ354444441-2-4-41-21-21-21-21-20022-12-1200000000000-2002-200-1-100-1-100000000101
χ364444441-2-4-41-21-21-21-21-200-2-2-12-1200000000000200-220011001100000000-10-1
χ37444444-2144-21-21-21-21-212200-21-210000000000202200-1-100-1-1000000000-10-10
χ38444444-2144-21-21-21-21-21-2-200-21-210000000000-20-2-2001100110000000001010
χ39444444-21-4-4-21-21-21-21-2122002-12-10000000000-202-200-1-100-1-10000000001010
χ40444444-21-4-4-21-21-21-21-21-2-2002-12-1000000000020-2200110011000000000-10-10
χ414444-4-41-24-41-21-21-2-12-1200221-2-1200000000000200-2-200-1-1001100000000-101
χ424444-4-41-24-41-21-21-2-12-1200-2-21-2-1200000000000-20022001100-1-10000000010-1
χ434444-4-41-2-441-21-21-2-12-120022-121-200000000000-200-2200-1-100110000000010-1
χ444444-4-41-2-441-21-21-2-12-1200-2-2-121-2000000000002002-2001100-1-100000000-101
χ454444-4-4-214-4-21-21-212-12-12200-212-1000000000020-2-200-1-10011000000000-1010
χ464444-4-4-214-4-21-21-212-12-1-2-200-212-10000000000-2022001100-1-100000000010-10
χ474444-4-4-21-44-21-21-212-12-122002-1-210000000000-20-2200-1-1001100000000010-10
χ484444-4-4-21-44-21-21-212-12-1-2-2002-1-210000000000202-2001100-1-1000000000-1010
χ4944-4-400440044-4-4-4-400000000000000000022−22−22220000000000000000000000000
χ5044-4-400440044-4-4-4-4000000000000000000−222222−220000000000000000000000000
χ514-4-44004400-4-4-4-4440000000000000000-4400000000000000000000000000000
χ5288-8-8002-4002-4-24-24000000000000000000000000000000000023−2300000000000
χ5388-8-8002-4002-4-24-240000000000000000000000000000000000−232300000000000
χ5488-8-800-4200-424-24-20000000000000000000000000000000023−230000000000000
χ5588-8-800-4200-424-24-200000000000000000000000000000000−23230000000000000
χ568-88-88i−8i2-400-242-4-242i−4i−2i4i0000000000000000000000000000000000000000000
χ578-88-88i−8i-42004-2-424-2−4i2i4i−2i0000000000000000000000000000000000000000000
χ588-88-8−8i8i2-400-242-4-24−2i4i2i−4i0000000000000000000000000000000000000000000
χ598-88-8−8i8i-42004-2-424-24i−2i−4i2i0000000000000000000000000000000000000000000
χ608-8-88002-400-24-242-40000004i−4i0000000000000000000000−2i2i000000000000000
χ618-8-88002-400-24-242-4000000−4i4i00000000000000000000002i−2i000000000000000
χ628-8-8800-42004-24-2-4200004i−4i0000000000000000000000−2i2i00000000000000000
χ638-8-8800-42004-24-2-420000−4i4i00000000000000000000002i−2i00000000000000000

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