Finite Group Databasebeta

← Group #11780195

Character table — Group #11780195

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222224444444444444888888881212121216161616161616161624242424242424242424242424242424242424242424363636367272
order12223344446666663466612121212121212121212121212121212224441212121212121212446688881212121212122424242424242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111111111111111111-1-1111111111-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-111111111-1-1
χ51111111111111111111111111111111111111-1-1111111111111-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1111111-1-1-1-11111-1-1
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
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111
χ92222222-22-22222222-2222222-2-2-22-2-2-222-2-2-2-222000000000000-222000000-2-20000000000000000
χ102222222-22-22222222-2222222-2-2-22-2-2-222-2-2-2-2-2-20000000000002-2-2000000220000000000000000
χ11222222-22-222222222-2222-2-2-2222-22-2-2-2-2-2-2220022000000000-20000000-2-2002200000000000000
χ12222222-22-222222222-2222-2-2-2222-22-2-2-2-2-2-22200-2-2000000000200000002200-2-200000000000000
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-222-2-20000000000000000000000000000000000000002-2
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000000000000000000-22
χ1522222-122222-1-122-1-12-1-1-122-12-1-1-12-12-1-1-1-1-1-12200222-1-1-1-1-1-102-1-1220000-1-100-1-1-1-10000000000
χ1622222-122222-1-122-1-12-1-1-122-12-1-1-12-12-1-1-1-1-1-12200-2-2-211111102-1-1-2-20000-1-10011110000000000
χ1722222-122222-1-122-1-12-1-1-122-12-1-1-12-12-1-1-1-1-1-1-2-200222-1-1-1-1-1-10-211-2-20000110011110000000000
χ1822222-122222-1-122-1-12-1-1-122-12-1-1-12-12-1-1-1-1-1-1-2-200-2-2-21111110-2112200001100-1-1-1-10000000000
χ1922222-12-22-22-1-122-1-1-2-1-1-122-1-211-1-21-2-1-111112200000−i3i3−i3−i3i3i30-2-1-10000001100−i3−i3i3i30000000000
χ2022222-12-22-22-1-122-1-1-2-1-1-122-1-211-1-21-2-1-111112200000i3−i3i3i3−i3−i30-2-1-10000001100i3i3−i3−i30000000000
χ2122222-12-22-22-1-122-1-1-2-1-1-122-1-211-1-21-2-1-11111-2-200000−i3i3−i3−i3i3i30211000000-1-100i3i3−i3−i30000000000
χ2222222-12-22-22-1-122-1-1-2-1-1-122-1-211-1-21-2-1-11111-2-200000i3−i3i3i3−i3−i30211000000-1-100−i3−i3i3i30000000000
χ232222-122222-122-1-12-12-1-1-1-1-12-1222-12-1-1-1-1-1-1-100222-1-122-1-1-1-120000022-1-100-1-10000-1-1-1-1000000
χ242222-122222-122-1-12-12-1-1-1-1-12-1222-12-1-1-1-1-1-1-10022-211-2-21111200000-2-2-1-100-1-100001111000000
χ252222-122222-122-1-12-12-1-1-1-1-12-1222-12-1-1-1-1-1-1-100-2-22-1-122-1-1-1-1-200000-2-211001100001111000000
χ262222-122222-122-1-12-12-1-1-1-1-12-1222-12-1-1-1-1-1-1-100-2-2-211-2-21111-200000221100110000-1-1-1-1000000
χ272222-12-22-22-122-1-12-1-2-1-1-111-2-122-2-1-211111-1-100220−i3i300−i3i3−i3i3-200000001100-1-10000−i3−i3i3i3000000
χ282222-12-22-22-122-1-12-1-2-1-1-111-2-122-2-1-211111-1-100220i3−i300i3−i3i3−i3-200000001100-1-10000i3i3−i3−i3000000
χ292222-12-22-22-122-1-12-1-2-1-1-111-2-122-2-1-211111-1-100-2-20−i3i300−i3i3−i3i320000000-1-100110000i3i3−i3−i3000000
χ302222-12-22-22-122-1-12-1-2-1-1-111-2-122-2-1-211111-1-100-2-20i3−i300i3−i3i3−i320000000-1-100110000−i3−i3i3i3000000
χ3122-2-22220-2022-2-2-2-2202-2-22-22000-20002-200002-200000000000002-2002−200000000002−22−222−2−200
χ3222-2-22220-2022-2-2-2-2202-2-22-22000-20002-200002-200000000000002-200−220000000000−22−22−2−22200
χ3322-2-22220-2022-2-2-2-2202-2-22-22000-20002-20000-220000000000000-22002−200000000002−22−2−2−22200
χ3422-2-22220-2022-2-2-2-2202-2-22-22000-20002-20000-220000000000000-2200−220000000000−22−2222−2−200
χ352-2-22220-202-2-2-2-22220-2-22000-22-2020000002-2002-200000000000002−20000002-22−22−200002−22−200
χ362-2-22220-202-2-2-2-22220-2-22000-22-2020000002-2002-20000000000000−220000002-2−22−220000−22−2200
χ372-2-22220-202-2-2-2-22220-2-22000-22-2020000002-200-2200000000000002−2000000-222−22−20000−22−2200
χ382-2-22220-202-2-2-2-22220-2-22000-22-2020000002-200-220000000000000−22000000-22−22−2200002−22−200
χ3944444-2-44-444-2-244-2-2-4-2-2-2-4-424-2-2242-42222-2-200000000000000000000000000000000000000000
χ4044444-2-4-4-4-44-2-244-2-24-2-2-2-4-42-4222-4-2422-2-22200000000000000000000000000000000000000000
χ414444-244-44-4-244-2-24-2-4-2-2-2-2-242-4-442-42-2-2222200000000000000000000000000000000000000000
χ424444-24-4-4-4-4-244-2-24-24-2-2-222-42-4-4-424-222-2-22200000000000000000000000000000000000000000
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
χ454444-2-24-44-4-2-2-2-2-2-21-4111-2-2-2222-222211-1-1-1-10000000−2i32i3i3i3−i3−i30000000000000000000000000000
χ464444-2-24-44-4-2-2-2-2-2-21-4111-2-2-2222-222211-1-1-1-100000002i3−2i3−i3−i3i3i30000000000000000000000000000
χ474444-2-2-44-44-2-2-2-2-2-21-4111222-2-2-22-222-1-1-1-11100000−2i32i300i3−i3i3−i30000000000000000000000000000
χ484444-2-2-44-44-2-2-2-2-2-21-4111222-2-2-22-222-1-1-1-111000002i3−2i300−i3i3−i3i30000000000000000000000000000
χ494444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-2-2-1-111-1-10000000003-3-330000000000000000000000000000
χ504444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-2-2-1-111-1-1000000000-333-30000000000000000000000000000
χ5144-4-444-404044-4-4-4-4404-4-4-44-40004000-44000000000000000000000000000000000000000000000
χ5244-4-44-240-404-22-4-42-20-2224-4-20002000-2200004-40000000000000-22000000000000000000000000
χ5344-4-44-240-404-22-4-42-20-2224-4-20002000-220000-4400000000000002-2000000000000000000000000
χ5444-4-44-2-40404-22-4-42-20-222-442000-20002-200000000000000000000000000023−230000000000000000
χ5544-4-44-2-40404-22-4-42-20-222-442000-20002-2000000000000000000000000000−23230000000000000000
χ5644-4-4-2440-40-24-422-4-20-222-224000-4000-220000000000000000000000022−220000000000−22−22000000
χ5744-4-4-2440-40-24-422-4-20-222-224000-4000-2200000000000000000000000−222200000000002−22−2000000
χ5844-4-4-24-4040-24-422-4-20-2222-2-400040002-200000000000000000000000000000000000i6−i6−i6i6000000
χ5944-4-4-24-4040-24-422-4-20-2222-2-400040002-200000000000000000000000000000000000−i6i6i6−i6000000
χ604-44-4440000-4-444-4-440-44-40000000000000000000000000000000000000000000000000002-2-2200
χ614-44-4440000-4-444-4-440-44-4000000000000000000000000000000000000000000000000000-222-200
χ624-4-4444040-4-4-4-4-44440-4-440004-440-4000000-4400000000000000000000000000000000000000000
χ634-4-444-2040-4-422-44-2-2022-200042-20-40000002-2000000000000000000000000000i6−i6−i6i60000000000
χ644-4-444-2040-4-422-44-2-2022-200042-20-40000002-2000000000000000000000000000−i6i6i6−i60000000000
χ654-4-444-20-404-422-44-2-2022-2000-4-2204000000-220000000000000000022−2200000000−22−220000000000
χ664-4-444-20-404-422-44-2-2022-2000-4-2204000000-2200000000000000000−2222000000002−22−20000000000
χ674-4-44-24040-42-4-42-24-2022-2000-2-44020000002-200000000000000000000023−23000000000000000000
χ684-4-44-24040-42-4-42-24-2022-2000-2-44020000002-2000000000000000000000−2323000000000000000000
χ694-4-44-240-4042-4-42-24-2022-200024-40-2000000-22004-4000000000000000000000-2200000000000000
χ704-4-44-240-4042-4-42-24-2022-200024-40-2000000-2200-440000000000000000000002-200000000000000
χ7188-8-8-4-480-80-4-44444202-2-2-44-400040002-2000000000000000000000000000000000000000000000
χ7288-8-8-4-4-8080-4-44444202-2-24-44000-4000-22000000000000000000000000000000000000000000000
χ738-88-88-40000-84-48-84-404-44000000000000000000000000000000000000000000000000000000000
χ748-88-8-4800004-88-44-8-404-44000000000000000000000000000000000000000000000000000000000
χ758-88-8-4-4000044-4-44420-22-20000000000006-60000000000000000000000000000000000000000000
χ768-88-8-4-4000044-4-44420-22-2000000000000-660000000000000000000000000000000000000000000
χ778-8-88-4-4080-84444-4-420-2-22000-44-404000000-2200000000000000000000000000000000000000000
χ788-8-88-4-40-8084444-4-420-2-220004-440-40000002-200000000000000000000000000000000000000000

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