Finite Group Databasebeta

← Group #11779463

Character table — Group #11779463

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222224444444444444888888881212121216161616161616161624242424242424242424242424242424242424242424363636367272
order1222334444666666346661212121212121212121212121212121244444121212121212121244888812121212121212122424242424242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111111111111111111-1-11111111111-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-1-1-1-1-111111111-1-1
χ51111111111111111111111111111111111111-1-111111111111-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-11111-1-1
χ71111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ92222222-22-22222222-222222-2-22-22-2-2-222-2-2-2-200220000000000-20000002200-2-200000000000000
χ102222222-22-22222222-222222-2-22-22-2-2-222-2-2-2-200-2-200000000002000000-2-2002200000000000000
χ11222222-22-222222222-2222-2-222-22-22-2-2-2-222-2-22200000000000-2000002200-2-20000000000000000
χ12222222-22-222222222-2222-2-222-22-22-2-2-2-222-2-2-2-200000000000200000-2-200220000000000000000
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-2-2-2220000000000000000000000000000000000000002-2
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-2-2-222000000000000000000000000000000000000000-22
χ1522222-122222-12-12-1-12-1-1-122-1-1-12-122-1-1-1-1-1-1-10022222-1-1-1-1-1-102002200-1-100-1-10000-1-1-1-1000000
χ1622222-122222-12-12-1-12-1-1-122-1-1-12-122-1-1-1-1-1-1-10022-2-2-21111110200-2-200-1-100-1-100001111000000
χ1722222-122222-12-12-1-12-1-1-122-1-1-12-122-1-1-1-1-1-1-100-2-2222-1-1-1-1-1-10-200-2-20011001100001111000000
χ1822222-122222-12-12-1-12-1-1-122-1-1-12-122-1-1-1-1-1-1-100-2-2-2-2-21111110-20022001100110000-1-1-1-1000000
χ1922222-12-22-22-12-12-1-1-2-1-1-12211-1-2-1-2-21-1-111110022000−i3i3−i3−i3i3i30-2000000-1-100110000−i3−i3i3i3000000
χ2022222-12-22-22-12-12-1-1-2-1-1-12211-1-2-1-2-21-1-111110022000i3−i3i3i3−i3−i30-2000000-1-100110000i3i3−i3−i3000000
χ2122222-12-22-22-12-12-1-1-2-1-1-12211-1-2-1-2-21-1-1111100-2-2000−i3i3−i3−i3i3i3020000001100-1-10000i3i3−i3−i3000000
χ2222222-12-22-22-12-12-1-1-2-1-1-12211-1-2-1-2-21-1-1111100-2-2000i3−i3i3i3−i3−i3020000001100-1-10000−i3−i3i3i3000000
χ232222-122222-12-12-12-12-1-1-1-1-1222-12-1-12-1-1-1-1-1-122002-1-122-1-1-1-1202200-1-100-1-100-1-1-1-10000000000
χ242222-122222-12-12-12-12-1-1-1-1-1222-12-1-12-1-1-1-1-1-12200-211-2-2111120-2-200-1-100-1-10011110000000000
χ252222-122222-12-12-12-12-1-1-1-1-1222-12-1-12-1-1-1-1-1-1-2-2002-1-122-1-1-1-1-20-2-2001100110011110000000000
χ262222-122222-12-12-12-12-1-1-1-1-1222-12-1-12-1-1-1-1-1-1-2-200-211-2-21111-20220011001100-1-1-1-10000000000
χ272222-12-22-22-12-12-12-1-2-1-1-11122-2-1-2-11-211-1-11122000−i3i300−i3i3−i3i3-200000-1-1001100−i3−i3i3i30000000000
χ282222-12-22-22-12-12-12-1-2-1-1-11122-2-1-2-11-211-1-11122000i3−i300i3−i3i3−i3-200000-1-1001100i3i3−i3−i30000000000
χ292222-12-22-22-12-12-12-1-2-1-1-11122-2-1-2-11-211-1-111-2-2000−i3i300−i3i3−i3i32000001100-1-100i3i3−i3−i30000000000
χ302222-12-22-22-12-12-12-1-2-1-1-11122-2-1-2-11-211-1-111-2-2000i3−i300i3−i3i3−i32000001100-1-100−i3−i3i3i30000000000
χ3122-2-222020-2-222-2-2-2202-2-2002-2020-200002-2002-20000000000000002−22-200000000002−22−222−2−200
χ3222-2-222020-2-222-2-2-2202-2-2002-2020-200002-2002-2000000000000000−222-20000000000−22−22−2−22200
χ3322-2-222020-2-222-2-2-2202-2-2002-2020-200002-200-220000000000000002−2-2200000000002−22−2−2−22200
χ3422-2-222020-2-222-2-2-2202-2-2002-2020-200002-200-22000000000000000−22-220000000000−22−2222−2−200
χ352-22-22220-202-2-22-2-220-22-22-20020-20002-20000002-2000000000002−200002-200002−22−200002−22−200
χ362-22-22220-202-2-22-2-220-22-22-20020-20002-20000002-200000000000−2200002-20000−22−220000−22−2200
χ372-22-22220-202-2-22-2-220-22-22-20020-20002-2000000-22000000000002−20000-2200002−22−20000−22−2200
χ382-22-22220-202-2-22-2-220-22-22-20020-20002-2000000-2200000000000−220000-220000−22−2200002−22−200
χ3944444-2-44-444-24-24-2-2-4-2-2-2-4-4-2-22424-4222-2-22200000000000000000000000000000000000000000
χ4044444-2-4-4-4-44-24-24-2-24-2-2-2-4-4222-42-44-22222-2-200000000000000000000000000000000000000000
χ414444-244-44-4-24-24-24-2-4-2-2-2-2-2-4-442422-4-2-2222200000000000000000000000000000000000000000
χ424444-24-4-4-4-4-24-24-24-24-2-2-222-4-4-42-42-242222-2-200000000000000000000000000000000000000000
χ434444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-211111100004-2-2-2-211110000000000000000000000000000
χ444444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-21111110000-42222-1-1-1-10000000000000000000000000000
χ454444-2-24-44-4-2-2-2-2-2-21-4111-2-222-22-222211-1-1-1-10000000−2i32i3i3i3−i3−i30000000000000000000000000000
χ464444-2-24-44-4-2-2-2-2-2-21-4111-2-222-22-222211-1-1-1-100000002i3−2i3−i3−i3i3i30000000000000000000000000000
χ474444-2-2-44-44-2-2-2-2-2-21-411122-2-22-22-222-1-111-1-100000−2i32i300i3−i3i3−i30000000000000000000000000000
χ484444-2-2-44-44-2-2-2-2-2-21-411122-2-22-22-222-1-111-1-1000002i3−2i300−i3i3−i3i30000000000000000000000000000
χ494444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-2-2-1-1-1-1110000000003-3-330000000000000000000000000000
χ504444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-2-2-1-1-1-111000000000-333-30000000000000000000000000000
χ5144-4-4440-404-444-4-4-4404-4-400-440-4040000-440000000000000000000000000000000000000000000
χ5244-4-44-2040-4-4-242-42-20-22200-22040-40000-22000000000000000000022−22000000000000−22−22000000
χ5344-4-44-2040-4-4-242-42-20-22200-22040-40000-220000000000000000000−22220000000000002−22−2000000
χ5444-4-44-20-404-4-242-42-20-222002-20-40400002-2000000000000000000000000000000000i6−i6−i6i6000000
χ5544-4-44-20-404-4-242-42-20-222002-20-40400002-2000000000000000000000000000000000−i6i6i6−i6000000
χ5644-4-4-24040-424-2-42-4-20-222004-40-2020000-22004-400000000000000000-2200000000000000000000
χ5744-4-4-24040-424-2-42-4-20-222004-40-2020000-2200-44000000000000000002-200000000000000000000
χ5844-4-4-240-40424-2-42-4-20-22200-44020-200002-2000000000000000000000000023−230000000000000000
χ5944-4-4-240-40424-2-42-4-20-22200-44020-200002-20000000000000000000000000−23230000000000000000
χ604-44-444-40404-4-44-4-440-44-4-4400-404000-44000000000000000000000000000000000000000000000
χ614-44-44-240-4042-4-2-42-202-224-400-202000-220000004-400000000000000000-22000000000000000000
χ624-44-44-240-4042-4-2-42-202-224-400-202000-22000000-44000000000000000002-2000000000000000000
χ634-44-44-2-404042-4-2-42-202-22-440020-20002-20000000000000000000000000000023−2300000000000000
χ644-44-44-2-404042-4-2-42-202-22-440020-20002-200000000000000000000000000000−232300000000000000
χ654-44-4-2440-40-2-4242-4-202-22-220040-4000-22000000000000000000022−220000000000−22−220000000000
χ664-44-4-2440-40-2-4242-4-202-22-220040-4000-220000000000000000000−222200000000002−22−20000000000
χ674-44-4-24-4040-2-4242-4-202-222-200-4040002-20000000000000000000000000000000i6−i6−i6i60000000000
χ684-44-4-24-4040-2-4242-4-202-222-200-4040002-20000000000000000000000000000000−i6i6i6−i60000000000
χ694-4-44440000-4-4-4-44440-4-440000000000000000000000000000000000000000000000000002-2-2200
χ704-4-44440000-4-4-4-44440-4-44000000000000000000000000000000000000000000000000000-222-200
χ7188-8-8-4-4080-84-4-4444202-2-200-440-40400002-20000000000000000000000000000000000000000000
χ7288-8-8-4-40-8084-4-4444202-2-2004-4040-40000-220000000000000000000000000000000000000000000
χ738-88-8-4-480-80-444-44420-22-2-4400-4040002-2000000000000000000000000000000000000000000000
χ748-88-8-4-4-8080-444-44420-22-24-40040-4000-22000000000000000000000000000000000000000000000
χ758-8-888-40000-84-848-4-4044-4000000000000000000000000000000000000000000000000000000000
χ768-8-88-4800004-84-8-48-4044-4000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400004444-4-420-2-22000000000000006-600000000000000000000000000000000000000000
χ788-8-88-4-400004444-4-420-2-2200000000000000-6600000000000000000000000000000000000000000

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