Finite Group Databasebeta

← Group #11887072

Character table — Group #11887072

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444888812121212161616161818181818181818181824242424242424242424242424243636363636363648484848
order1222223344666666666622441212121222444488882224446666121212124888888661212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-1-111-11-1-11111-1-1-1-11-1-1-1-1-1-1-111-1
χ311111111111111111111-1-1111111111111-1-1-1-1-1-11-111-1-1-1-111111-1-1-1-1-1-11-1-11
χ411111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ511111111-1-111111111111111-1-1-1-1-1-1-1-11111111-1-1-11-1111111111-1-111-1-1-1-1-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-1-111111-1-1-1-1111-1-1111-1-11
χ711111111-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11-111-1-1-1-1-11111111-1-111-111-1
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-11-1-1-1-1-1-1-1-11-1-111-1-11111
χ91111-1-1111-1111111-1-1-1-1111111-1-1-1-111111111-1-111-1-111-1-111-1-1-111-1-1-1-11-11-1
χ101111-1-1111-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1-111-1-1-11111-1-111
χ111111-1-1111-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1111111-1-1
χ121111-1-1111-1111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-111-1-111-111-1-1-1-1-11-11
χ131111-1-111-11111111-1-1-1-11111-1-11111-1-1111111-11-1-1-1111-1-111-1-1-1-1-1-1-111-11-11
χ141111-1-111-11111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-111-11-111-1-1-1-111-11111-1-111-1-1
χ151111-1-111-11111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11-1-11-11-1-11111-1-1-11111-1-1-1-111
χ161111-1-111-11111111-1-1-1-1-1-1-1-1-1-11111-1-11111111-1111-1-1-111-1-111-1-1-1-1-1111-11-1
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
χ212-22-20022002-22-2-2-200002-22i−2i000000002-22i2i−2i−2i0000002-2002i−2i0000000000000
χ222-22-20022002-22-2-2-200002-2−2i2i000000002-2−2i−2i2i2i0000002-200−2i2i0000000000000
χ232-22-20022002-22-2-2-20000-222i−2i000000002-2−2i−2i2i2i000000-22002i−2i0000000000000
χ242-22-20022002-22-2-2-20000-22−2i2i000000002-22i2i−2i−2i000000-2200−2i2i0000000000000
χ252-2-222-22200-2-2-2-2222-22-2000000002-22-2002−22−20000000000000002−22−22−20000
χ262-2-222-22200-2-2-2-2222-22-2000000002-22-200−22−22000000000000000−22−22−220000
χ272-2-222-22200-2-2-2-2222-22-200000000-22-22002−22−2000000000000000−222−2−220000
χ282-2-222-22200-2-2-2-2222-22-200000000-22-2200−22−220000000000000002−2−222−20000
χ292-2-22-222200-2-2-2-222-22-22000000002-2-22002−22−2000000000000000−22−222−20000
χ302-2-22-222200-2-2-2-222-22-22000000002-2-2200−22−220000000000000002−22−2−220000
χ312-2-22-222200-2-2-2-222-22-2200000000-222-2002−22−20000000000000002−2−22−220000
χ322-2-22-222200-2-2-2-222-22-2200000000-222-200−22−22000000000000000−222−22−20000
χ334444441-24411-2-2-2111-2-200221-21-200000000000020220000-1-1-1-10000000-100-1
χ344444441-24411-2-2-2111-2-200-2-21-21-2000000000000-20-2-20000111100000001001
χ354444441-2-4-411-2-2-2111-2-20022-12-12000000000000-202-20000-1-1-1-100000001001
χ364444441-2-4-411-2-2-2111-2-200-2-2-12-1200000000000020-22000011110000000-100-1
χ37444444-2144-2-2111-2-2-2112200-21-210000000000220200-1-1-1-1000000000000-1-10
χ38444444-2144-2-2111-2-2-211-2-200-21-210000000000-2-20-2001111000000000000110
χ39444444-21-4-4-2-2111-2-2-21122002-12-100000000002-20-200-1-1-1-1000000000000110
χ40444444-21-4-4-2-2111-2-2-211-2-2002-12-10000000000-2202001111000000000000-1-10
χ414444-4-41-24-411-2-2-21-1-12200221-2-1200000000000020-2-20000-1-1110000000-1001
χ424444-4-41-24-411-2-2-21-1-12200-2-21-2-12000000000000-2022000011-1-10000000100-1
χ434444-4-41-2-4411-2-2-21-1-1220022-121-2000000000000-20-220000-1-1110000000100-1
χ444444-4-41-2-4411-2-2-21-1-12200-2-2-121-2000000000000202-2000011-1-10000000-1001
χ454444-4-4-214-4-2-2111-222-1-12200-212-10000000000-2-20200-1-1110000000000001-10
χ464444-4-4-214-4-2-2111-222-1-1-2-200-212-10000000000220-20011-1-1000000000000-110
χ474444-4-4-21-44-2-2111-222-1-122002-1-210000000000-220-200-1-111000000000000-110
χ484444-4-4-21-44-2-2111-222-1-1-2-2002-1-2100000000002-2020011-1-10000000000001-10
χ4944-4-4004400-44-44-4-4000000000000000000−2i22i22i2−2i20000000000000000000000000
χ5044-4-4004400-44-44-4-40000000000000000002i2−2i2−2i22i20000000000000000000000000
χ514-44-40044004-44-4-4-40000000000000000-4400000000000000000000000000000
χ5288-8-8002-400-224-44-2000000000000000000000000000000000023−2300000000000
χ5388-8-8002-400-224-44-20000000000000000000000000000000000−232300000000000
χ5488-8-800-42004-4-22-24000000000000000000000000000000−2i32i3000000000000000
χ5588-8-800-42004-4-22-240000000000000000000000000000002i3−2i3000000000000000
χ568-88-8002-4002-2-444-20000004i−4i000000000000000000000000−2i2i0000000000000
χ578-88-8002-4002-2-444-2000000−4i4i0000000000000000000000002i−2i0000000000000
χ588-88-800-4200-442-2-2400004-40000000000000000000000-2200000000000000000
χ598-88-800-4200-442-2-240000-4400000000000000000000002-200000000000000000
χ608-8-888-82-400-2-244-422-2-440000000000000000000000000000000000000000000
χ618-8-888-8-420044-2-22-4-442-20000000000000000000000000000000000000000000
χ628-8-88-882-400-2-244-42-224-40000000000000000000000000000000000000000000
χ638-8-88-88-420044-2-22-44-4-220000000000000000000000000000000000000000000

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