Finite Group Databasebeta

← Group #11780197

Character table — Group #11780197

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222222444444444444444888888812121212121212121212121212121616161616161616162424242424242424242424242436364848727272
order1222334444666666346661212121212121212121212121212121212448888242424242424242441212121212121212444881212121224242424221212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111111-1-1
χ511111111111111111111111111111111111111-1-1111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1
χ611111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11-1-1
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-111
χ92222222-2-222222222-22222222-2-2-2-2-2-2-222-2-2-2-20000000000000000000000000000000000002200-200
χ102222222-2-222222222-22222222-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000000000000000-2-200200
χ11222222-222-22222222-2222-2-2-2-2222-2-22-2-2-2-2-22222000000000000000000000-20000-2-22200000000000
χ12222222-222-22222222-2222-2-2-2-2222-2-22-2-2-2-2-222-2-20000000000000000000002000022-2-200000000000
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-222-22-2-222-2-20000000000000000000000002-20000000000002-2000
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-222-22-2-222-2-2000000000000000000000000-22000000000000-22000
χ1522222-1222222-1-1-12-12-1-1-122-1-1-12222-1-1-1-1-1-1-1-1220000000000002-1-122-1-1-1-120022-1-1-1-1-1-1-1-10000000
χ1622222-1222222-1-1-12-12-1-1-122-1-1-12222-1-1-1-1-1-1-1-122000000000000-211-2-21111200-2-2-1-1-1-111110000000
χ1722222-1222222-1-1-12-12-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-20000000000002-1-122-1-1-1-1-200-2-2111111110000000
χ1822222-1222222-1-1-12-12-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-2000000000000-211-2-21111-200221111-1-1-1-10000000
χ1922222-1-222-222-1-1-12-1-2-1-1-1-2-211-122-2-2-111111-1-1220000000000000−i3i300−i3−i3i3i3-2000011-1-1−i3−i3i3i30000000
χ2022222-1-222-222-1-1-12-1-2-1-1-1-2-211-122-2-2-111111-1-1220000000000000i3−i300i3i3−i3−i3-2000011-1-1i3i3−i3−i30000000
χ2122222-1-222-222-1-1-12-1-2-1-1-1-2-211-122-2-2-111111-1-1-2-20000000000000−i3i300−i3−i3i3i320000-1-111i3i3−i3−i30000000
χ2222222-1-222-222-1-1-12-1-2-1-1-1-2-211-122-2-2-111111-1-1-2-20000000000000i3−i300i3i3−i3−i320000-1-111−i3−i3i3i30000000
χ232222-122222-1-1222-1-12-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1022000000000000-1-1000
χ242222-122222-1-1222-1-12-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1-2-2-21111110-2-200000000000011000
χ252222-122222-1-1222-1-12-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-100-2-2-2-211111111222-1-1-1-1-1-10-2-200000000000011000
χ262222-122222-1-1222-1-12-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-100-2-2-2-211111111-2-2-2111111022000000000000-1-1000
χ272222-12-2-2-2-2-1-1222-1-12-1-1-111-2-2-211-1-1-2211-1-111000000−i3−i3−i3−i3i3i3i3i3000−i3i3−i3i3−i3i302-2000000000000-11000
χ282222-12-2-2-2-2-1-1222-1-12-1-1-111-2-2-211-1-1-2211-1-111000000−i3−i3−i3−i3i3i3i3i3000i3−i3i3−i3i3−i30-220000000000001-1000
χ292222-12-2-2-2-2-1-1222-1-12-1-1-111-2-2-211-1-1-2211-1-111000000i3i3i3i3−i3−i3−i3−i3000−i3i3−i3i3−i3i30-220000000000001-1000
χ302222-12-2-2-2-2-1-1222-1-12-1-1-111-2-2-211-1-1-2211-1-111000000i3i3i3i3−i3−i3−i3−i3000i3−i3i3−i3i3−i302-2000000000000-11000
χ3122-2-222200-22-22-2-2-2202-2-22-22-200000002-200000022−2−222−2−222−2−20000000000002−200002−22−22-200000
χ3222-2-222200-22-22-2-2-2202-2-22-22-200000002-200000022−2−222−2−222−2−2000000000000−220000−22−22-2200000
χ3322-2-222200-22-22-2-2-2202-2-22-22-200000002-2000000−2−222−2−222−2−2220000000000002−200002−22−2-2200000
χ3422-2-222200-22-22-2-2-2202-2-22-22-200000002-2000000−2−222−2−222−2−222000000000000−220000−22−222-200000
χ352-2-22220-220-2-2-2-22220-2-220000-22-2002000002-22-22−22−22−22−22−22−200000000000000002-20000000002−2
χ362-2-22220-220-2-2-2-22220-2-220000-22-2002000002-22-2−22−22−22−22−22−2200000000000000002-2000000000−22
χ372-2-22220-220-2-2-2-22220-2-220000-22-2002000002-2-222−22−22−22−22−22−20000000000000000-22000000000−22
χ382-2-22220-220-2-2-2-22220-2-220000-22-2002000002-2-22−22−22−22−22−22−220000000000000000-220000000002−2
χ3944444-24-4-4444-2-2-24-2-4-2-2-244-2-22-4-4-4-422-2-222220000000000000000000000000000000000000000000
χ4044444-2-4-4-4-444-2-2-24-24-2-2-2-4-4222-4-4442-222-2-2220000000000000000000000000000000000000000000
χ414444-244-4-44-2-2444-2-2-4-2-2-2-2-244-42222-4-4-2-222220000000000000000000000000000000000000000000
χ424444-24-444-4-2-2444-2-2-4-2-2-222-4-44-2-2224-42222-2-20000000000000000000000000000000000000000000
χ434444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2-2111111000000000000004-2-2-2-2111100000000000000000000
χ444444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2-211111100000000000000-42222-1-1-1-100000000000000000000
χ454444-2-24-4-44-2-2-2-2-2-21-4111-2-2-2-2222222211-1-1-1-100000000000000000003-3-3300000000000000000000
χ464444-2-24-4-44-2-2-2-2-2-21-4111-2-2-2-2222222211-1-1-1-10000000000000000000-333-300000000000000000000
χ474444-2-2-444-4-2-2-2-2-2-21-41112222-2-2-222-22-1-1-1-111000000000000000−2i32i300i3i3−i3−i300000000000000000000
χ484444-2-2-444-4-2-2-2-2-2-21-41112222-2-2-222-22-1-1-1-1110000000000000002i3−2i300−i3−i3i3i300000000000000000000
χ494444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-22-2-1-111-1-100000000000000000−2i32i3i3−i3i3−i300000000000000000000
χ504444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-22-2-1-111-1-1000000000000000002i3−2i3−i3i3−i3i300000000000000000000
χ5144-4-444-40044-44-4-4-4404-4-4-44-440000000-4400000000000000000000000000000000000000000000000
χ5244-4-44-2400-44-4-222-4-20-2224-4-220000000-2200000000000000000000000000000022−220000−22−220000000
χ5344-4-44-2400-44-4-222-4-20-2224-4-220000000-22000000000000000000000000000000−222200002−22−20000000
χ5444-4-44-2-40044-4-222-4-20-222-442-200000002-2000000000000000000000000000000000000i6−i6−i6i60000000
χ5544-4-44-2-40044-4-222-4-20-222-442-200000002-2000000000000000000000000000000000000−i6i6i6−i60000000
χ5644-4-4-24400-4-224-4-42-20-222-224-40000000-220000002222−22−22−2−222−2−22200000000000000000000000000000
χ5744-4-4-24400-4-224-4-42-20-222-224-40000000-22000000−22−22222222−2−222−2−200000000000000000000000000000
χ5844-4-4-24-4004-224-4-42-20-2222-2-4400000002-20000000000i6i6−i6−i6−i6−i6i6i600000000000000000000000000000
χ5944-4-4-24-4004-224-4-42-20-2222-2-4400000002-20000000000−i6−i6i6i6i6i6−i6−i600000000000000000000000000000
χ604-44-4440000-44-44-4-440-44-400000000000000000002-2-222-2-222-2-2200000000000000000000000000000
χ614-44-4440000-44-44-4-440-44-40000000000000000000-222-2-222-2-222-200000000000000000000000000000
χ624-44-4-2400002-2-44-42-202-220000000−2i32i30000−2i32i300002-2-22−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i300000000000000000000000000000
χ634-44-4-2400002-2-44-42-202-220000000−2i32i30000−2i32i30000-222-21+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i300000000000000000000000000000
χ644-44-4-2400002-2-44-42-202-2200000002i3−2i300002i3−2i300002-2-22−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i300000000000000000000000000000
χ654-44-4-2400002-2-44-42-202-2200000002i3−2i300002i3−2i30000-222-21−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i300000000000000000000000000000
χ664-4-444404-40-4-4-4-44440-4-4400004-4400-400000-440000000000000000000000000000000000000000000
χ674-4-444-204-40-4-422-24-2022-20000-2-44002000002-2000000000000000000000000000023−230000000000000
χ684-4-444-204-40-4-422-24-2022-20000-2-44002000002-20000000000000000000000000000−23230000000000000
χ694-4-444-20-440-4-422-24-2022-2000024-400-200000-224-40000000000000000000000000000-2200000000000
χ704-4-444-20-440-4-422-24-2022-2000024-400-200000-22-4400000000000000000000000000002-200000000000
χ714-4-44-2404-4022-4-44-2-2022-2000042-200-4000002-2000000i6−i6i6−i6−i6i6−i6i600000000000000000000000000000
χ724-4-44-2404-4022-4-44-2-2022-2000042-200-4000002-2000000−i6i6−i6i6i6−i6i6−i600000000000000000000000000000
χ734-4-44-240-44022-4-44-2-2022-20000-4-2200400000-220022−2222−22−22−22−22−2200000000000000000000000000000
χ744-4-44-240-44022-4-44-2-2022-20000-4-2200400000-2200−2222−22222−22−22−22−200000000000000000000000000000
χ7588-8-8-4-4800-8-44-4444202-2-2-44-4400000002-200000000000000000000000000000000000000000000000
χ7688-8-8-4-4-8008-44-4444202-2-24-44-40000000-2200000000000000000000000000000000000000000000000
χ778-88-88-40000-884-44-8-404-44000000000000000000000000000000000000000000000000000000000000
χ788-88-8-4-400004-44-44420-22-20000000−4i34i300002i3−2i3000000000000000000000000000000000000000000000
χ798-88-8-4-400004-44-44420-22-200000004i3−4i30000−2i32i3000000000000000000000000000000000000000000000
χ808-8-88-4-408-804444-4-420-2-220000-44-400400000-220000000000000000000000000000000000000000000
χ818-8-88-4-40-8804444-4-420-2-2200004-4400-4000002-20000000000000000000000000000000000000000000

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