Finite Group Databasebeta

← Group #11887583

Character table — Group #11887583

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444888812121212161616161818181818181818181824242424242424242424242424243636363636363648484848
order122222334466666666664444121212122244448888244444121212121212121248888886121212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-1-11-111-1-11111-1-1-1-11-1-1-1-1-1-11-11-1
χ311111111111111111111-1-1111111111111-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-11-11
χ411111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ511111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-11-11-1111111111-1-111-1-1-1-1-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111111-1-1-1-1111-1-111-11-11
χ711111111-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-11111111-1-1111-11-1
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1-1-1-1-11-1-111-1-11111
χ91111-1-1111-1111111-1-1-1-111111-11-1-1-11111111111-1-1-1-111-1-111-1-1-111-1-1-1-111-1-1
χ101111-1-1111-1111111-1-1-1-111-1-11-11-1-1-11111-1-1-1-11-1-1-11111-1-1-1-111-1-1-111111-1-11
χ111111-1-1111-1111111-1-1-1-1-1-1111-11-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-1-1-1-11111-111-1
χ121111-1-1111-1111111-1-1-1-1-1-1-1-11-11-1-1-111111111-1-11111-1-111-1-111-111-1-1-1-1-1-111
χ131111-1-111-11111111-1-1-1-11111-11-1111-1-1111111-1-1-11-1111-1-111-1-1-1-1-1-1-111-1-111
χ141111-1-111-11111111-1-1-1-111-1-1-11-1111-1-111-1-1-1-1-11-111-111-1-1-1-111-11111-1-1-111-1
χ151111-1-111-11111111-1-1-1-1-1-111-11-1111-1-111-1-1-1-11-11-1-11-1-11111-1-1-11111-1-11-1-11
χ161111-1-111-11111111-1-1-1-1-1-1-1-1-11-1111-1-1111111111-11-1-1-111-1-111-1-1-1-1-11111-1-1
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
χ212-22-22-222002-2-2-22-22-22-2000000002-22-200−i2−i2i2i2000000000000000−i2i2−i2i2−i2i20000
χ222-22-22-222002-2-2-22-22-22-2000000002-22-200i2i2−i2−i2000000000000000i2−i2i2−i2i2−i20000
χ232-22-22-222002-2-2-22-22-22-200000000-22-2200−i2−i2i2i2000000000000000i2−i2−i2i2i2−i20000
χ242-22-22-222002-2-2-22-22-22-200000000-22-2200i2i2−i2−i2000000000000000−i2i2i2−i2−i2i20000
χ252-22-2-2222002-2-2-22-2-22-22000000002-2-2200−i2−i2i2i2000000000000000i2−i2i2−i2−i2i20000
χ262-22-2-2222002-2-2-22-2-22-22000000002-2-2200i2i2−i2−i2000000000000000−i2i2−i2i2i2−i20000
χ272-22-2-2222002-2-2-22-2-22-2200000000-222-200−i2−i2i2i2000000000000000−i2i2i2−i2i2−i20000
χ282-22-2-2222002-2-2-22-2-22-2200000000-222-200i2i2−i2−i2000000000000000i2−i2−i2i2−i2i20000
χ292-2-22002200-22-2-2-2200002i−2i2-2000000002-22i−2i2i−2i0000002i−2i002-20000000000000
χ302-2-22002200-22-2-2-2200002i−2i-22000000002-2−2i2i−2i2i0000002i−2i00-220000000000000
χ312-2-22002200-22-2-2-220000−2i2i2-2000000002-2−2i2i−2i2i000000−2i2i002-20000000000000
χ322-2-22002200-22-2-2-220000−2i2i-22000000002-22i−2i2i−2i000000−2i2i00-220000000000000
χ334444441-2441-2-21-2111-2-20022-2-21100000000000200220000-1-1-1-100000000-10-1
χ344444441-2441-2-21-2111-2-200-2-2-2-21100000000000-200-2-20000111100000000101
χ354444441-2-4-41-2-21-2111-2-2002222-1-100000000000-2002-20000-1-1-1-100000000101
χ364444441-2-4-41-2-21-2111-2-200-2-222-1-100000000000200-220000111100000000-10-1
χ37444444-2144-211-21-2-2-211220011-2-20000000000202200-1-1-1-100000000000-10-10
χ38444444-2144-211-21-2-2-211-2-20011-2-20000000000-20-2-2001111000000000001010
χ39444444-21-4-4-211-21-2-2-2112200-1-1220000000000-202-200-1-1-1-1000000000001010
χ40444444-21-4-4-211-21-2-2-211-2-200-1-122000000000020-2200111100000000000-10-10
χ414444-4-41-24-41-2-21-21-1-1220022-221-100000000000200-2-20000-1-11100000000-101
χ424444-4-41-24-41-2-21-21-1-12200-2-2-221-100000000000-20022000011-1-10000000010-1
χ434444-4-41-2-441-2-21-21-1-12200222-2-1100000000000-200-220000-1-1110000000010-1
χ444444-4-41-2-441-2-21-21-1-12200-2-22-2-11000000000002002-2000011-1-100000000-101
χ454444-4-4-214-4-211-21-222-1-122001-1-22000000000020-2-200-1-11100000000000-1010
χ464444-4-4-214-4-211-21-222-1-1-2-2001-1-220000000000-20220011-1-10000000000010-10
χ474444-4-4-21-44-211-21-222-1-12200-112-20000000000-20-2200-1-1110000000000010-10
χ484444-4-4-21-44-211-21-222-1-1-2-200-112-20000000000202-20011-1-100000000000-1010
χ4944-4-4004400-4-444-4-400000000000000000022−22−22220000000000000000000000000
χ5044-4-4004400-4-444-4-4000000000000000000−222222−220000000000000000000000000
χ514-4-44004400-44-4-4-440000000000000000-4400000000000000000000000000000
χ5288-8-8002-400-24-424-2000000000000000000000000000000000023−2300000000000
χ5388-8-8002-400-24-424-20000000000000000000000000000000000−232300000000000
χ5488-8-800-42004-22-4-2400000000000000000000000000000023−23000000000000000
χ5588-8-800-42004-22-4-24000000000000000000000000000000−2323000000000000000
χ568-88-88-82-400244-2-4-22-2-440000000000000000000000000000000000000000000
χ578-88-88-8-4200-4-2-2424-442-20000000000000000000000000000000000000000000
χ588-88-8-882-400244-2-4-2-224-40000000000000000000000000000000000000000000
χ598-88-8-88-4200-4-2-24244-4-220000000000000000000000000000000000000000000
χ608-8-88002-400-2-44-2420000004-4000000000000000000000000-220000000000000
χ618-8-88002-400-2-44-242000000-440000000000000000000000002-20000000000000
χ628-8-8800-420042-24-2-400004i−4i0000000000000000000000−2i2i00000000000000000
χ638-8-8800-420042-24-2-40000−4i4i00000000000000000000002i−2i00000000000000000

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