Finite Group Databasebeta

← Group #11895604

Character table — Group #11895604

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444888812121212161616161818181818181818181824242424242424242424242424243636363636363648484848
order1222443344666666121212124444121212124444448888244444121212121212121248888886121212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1-1-1-11-11
χ311111111111111111111-1-1111111111111-1-1-1-11-111-1-1-1-11111-1-11-1-1-1-1-1-11-11-1
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
χ611111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-111-111-1-1-1-1111-1-111111-11-1
χ711111111-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11-1-11111-1-11-1-11111-11-11
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
χ91111-1-1111-1111111-1-1-1-111111-11-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-111-1-111-1-1
χ101111-1-1111-1111111-1-1-1-111-1-11-11-1-1-11111-1-1-1-1-1111-1-111-1-111-1-1-111-1-111-111-1
χ111111-1-1111-1111111-1-1-1-1-1-1111-11-1-1-11111-1-1-1-11-1-1-111-1-111-1-111-111-1-1111-1-11
χ121111-1-1111-1111111-1-1-1-1-1-1-1-11-11-1-1-111111111-1-11111-1-1-1-11111-1-1-111-1-1-1-111
χ131111-1-111-11111111-1-1-1-11111-11-1111-1-1111111-1-1-11-111111-1-1-1-1-1-1-1-1-111-1-111
χ141111-1-111-11111111-1-1-1-111-1-1-11-1111-1-111-1-1-1-11-11-1-1111-1-111-1-1-11111-1-11-1-11
χ151111-1-111-11111111-1-1-1-1-1-111-11-1111-1-111-1-1-1-1-11-111-1-1-111-1-111-11111-1-1-111-1
χ161111-1-111-11111111-1-1-1-1-1-1-1-1-11-1111-1-1111111111-11-1-1-1-1-11111-1-1-1-1-11111-1-1
χ172222222222222222222200002222-2-2-2-2-2-2000000000000000000-20000000000
χ1822222222-2-222222222220000-2-2-2-22222-2-2000000000000000000-20000000000
χ192222-2-2222-2222222-2-2-2-200002-22-222-2-2-2-200000000000000000020000000000
χ202222-2-222-22222222-2-2-2-20000-22-22-2-222-2-200000000000000000020000000000
χ212-22-2002200-22-2-22-200002-22i−2i00000000-222i2i−2i−2i0000002-22i−2i000000000000000
χ222-22-2002200-22-2-22-200002-2−2i2i00000000-22−2i−2i2i2i0000002-2−2i2i000000000000000
χ232-22-2002200-22-2-22-20000-222i−2i00000000-22−2i−2i2i2i000000-222i−2i000000000000000
χ242-22-2002200-22-2-22-20000-22−2i2i00000000-222i2i−2i−2i000000-22−2i2i000000000000000
χ252-2-222i−2i2200-2-22-2-222i−2i2i−2i000000002i−2i2-200−i2i2−i2i20000000000000002−2−i2i22−20000
χ262-2-222i−2i2200-2-22-2-222i−2i2i−2i000000002i−2i2-200i2−i2i2−i2000000000000000−22i2−i2−220000
χ272-2-222i−2i2200-2-22-2-222i−2i2i−2i00000000−2i2i-2200−i2i2−i2i20000000000000002−2i2−i2−220000
χ282-2-222i−2i2200-2-22-2-222i−2i2i−2i00000000−2i2i-2200i2−i2i2−i2000000000000000−22−i2i22−20000
χ292-2-22−2i2i2200-2-22-2-22−2i2i−2i2i000000002i−2i-2200−i2i2−i2i2000000000000000−22i2−i22−20000
χ302-2-22−2i2i2200-2-22-2-22−2i2i−2i2i000000002i−2i-2200i2−i2i2−i20000000000000002−2−i2i2−220000
χ312-2-22−2i2i2200-2-22-2-22−2i2i−2i2i00000000−2i2i2-200−i2i2−i2i2000000000000000−22−i2i2−220000
χ322-2-22−2i2i2200-2-22-2-22−2i2i−2i2i00000000−2i2i2-200i2−i2i2−i20000000000000002−2i2−i22−20000
χ334444441-244-21-21-21-2-2112200-2-2110000000000020022-1-10000-1-100000000-10-1
χ344444441-244-21-21-21-2-211-2-200-2-21100000000000-200-2-21100001100000000101
χ354444441-2-4-4-21-21-21-2-211220022-1-100000000000-2002-2-1-10000-1-100000000101
χ364444441-2-4-4-21-21-21-2-211-2-20022-1-100000000000200-221100001100000000-10-1
χ37444444-21441-21-21-211-2-2002211-2-2000000000020220000-1-1-1-1000000000-10-10
χ38444444-21441-21-21-211-2-200-2-211-2-20000000000-20-2-2000011110000000001010
χ39444444-21-4-41-21-21-211-2-20022-1-1220000000000-202-20000-1-1-1-10000000001010
χ40444444-21-4-41-21-21-211-2-200-2-2-1-122000000000020-2200001111000000000-10-10
χ414444-4-41-24-4-21-21-2122-1-12200-221-100000000000200-2-2-1-100001100000000-101
χ424444-4-41-24-4-21-21-2122-1-1-2-200-221-100000000000-20022110000-1-10000000010-1
χ434444-4-41-2-44-21-21-2122-1-122002-2-1100000000000-200-22-1-10000110000000010-1
χ444444-4-41-2-44-21-21-2122-1-1-2-2002-2-11000000000002002-2110000-1-100000000-101
χ454444-4-4-214-41-21-21-2-1-12200221-1-22000000000020-2-20000-1-111000000000-1010
χ464444-4-4-214-41-21-21-2-1-12200-2-21-1-220000000000-2022000011-1-100000000010-10
χ474444-4-4-21-441-21-21-2-1-1220022-112-20000000000-20-220000-1-11100000000010-10
χ484444-4-4-21-441-21-21-2-1-12200-2-2-112-20000000000202-2000011-1-1000000000-1010
χ4944-4-40044004-4-44-4-400000000000000000022−22−22220000000000000000000000000
χ5044-4-40044004-4-44-4-4000000000000000000−222222−220000000000000000000000000
χ514-44-4004400-44-4-44-400000000000000004-400000000000000000000000000000
χ5288-8-8002-400-4-2424-2000000000000000000000000000000000023−2300000000000
χ5388-8-8002-400-4-2424-20000000000000000000000000000000000−232300000000000
χ5488-8-800-420024-2-4-240000000000000000000000000000000023−230000000000000
χ5588-8-800-420024-2-4-2400000000000000000000000000000000−23230000000000000
χ568-88-8002-400424-2-4-200004-40000000000000000000000-2200000000000000000
χ578-88-8002-400424-2-4-20000-4400000000000000000000002-200000000000000000
χ588-88-800-4200-2-4-24240000004i−4i0000000000000000000000−2i2i000000000000000
χ598-88-800-4200-2-4-2424000000−4i4i00000000000000000000002i−2i000000000000000
χ608-8-888i−8i2-4004-2-4-242−4i4i2i−2i0000000000000000000000000000000000000000000
χ618-8-888i−8i-4200-2424-2-42i−2i−4i4i0000000000000000000000000000000000000000000
χ628-8-88−8i8i2-4004-2-4-2424i−4i−2i2i0000000000000000000000000000000000000000000
χ638-8-88−8i8i-4200-2424-2-4−2i2i4i−4i0000000000000000000000000000000000000000000

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