Finite Group Databasebeta

← Group #11780435

Character table — Group #11780435

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222222444444444444444888888812121212121212121212121212121616161616161616162424242424242424242424242436364848727272
order12223344446666663466612121212121212121212121212121212124488882424242424242424412121212121212122446688121224242424221212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-111111-1-1
χ511111111111111111111111111111111111111-1-1111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1
χ611111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-1-1
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
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-111
χ92222222-2-222222222-2222-2-2-22222-2-2-2-222-2-2-2-20000000000000000000000000000000000002200-200
χ102222222-2-222222222-2222-2-2-22222-2-2-2-222-2-2-2-2000000000000000000000000000000000000-2-200200
χ11222222-222-22222222-2222222-2-2-2-2-2-22-2-2-2-2-22222000000000000000000000-200-2-2002200000000000
χ12222222-222-22222222-2222222-2-2-2-2-2-22-2-2-2-2-222-2-20000000000000000000002002200-2-200000000000
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
χ1522222-122222-12-1-12-12-1-1-122-1-1-12222-1-1-1-1-1-1-1-122000000000000222-1-1-1-1-1-1200-1-122-1-1-1-1-1-10000000
χ1622222-122222-12-1-12-12-1-1-122-1-1-12222-1-1-1-1-1-1-1-122000000000000-2-2-2111111200-1-1-2-2-1-111110000000
χ1722222-122222-12-1-12-12-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-2000000000000222-1-1-1-1-1-1-20011-2-21111110000000
χ1822222-122222-12-1-12-12-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-2000000000000-2-2-2111111-200112211-1-1-1-10000000
χ1922222-1-222-22-12-1-12-1-2-1-1-122-111-2-2-2-2-111111-1-122000000000000000−i3i3−i3−i3i3i3-2001100-1-1−i3−i3i3i30000000
χ2022222-1-222-22-12-1-12-1-2-1-1-122-111-2-2-2-2-111111-1-122000000000000000i3−i3i3i3−i3−i3-2001100-1-1i3i3−i3−i30000000
χ2122222-1-222-22-12-1-12-1-2-1-1-122-111-2-2-2-2-111111-1-1-2-2000000000000000−i3i3−i3−i3i3i3200-1-10011i3i3−i3−i30000000
χ2222222-1-222-22-12-1-12-1-2-1-1-122-111-2-2-2-2-111111-1-1-2-2000000000000000i3−i3i3i3−i3−i3200-1-10011−i3−i3i3i30000000
χ232222-122222-12-122-1-12-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1002222-1-1-1-1-1-1-1-12-1-122-1-1-1-1022000000000000-1-1000
χ242222-122222-12-122-1-12-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1-211-2-211110-2-200000000000011000
χ252222-122222-12-122-1-12-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-100-2-2-2-2111111112-1-122-1-1-1-10-2-200000000000011000
χ262222-122222-12-122-1-12-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-100-2-2-2-211111111-211-2-21111022000000000000-1-1000
χ272222-12-2-2-2-2-12-122-1-12-1-1-111-2-2-211-1-1-2211-1-111000000−i3−i3−i3−i3i3i3i3i30−i3i300−i3i3−i3i302-2000000000000-11000
χ282222-12-2-2-2-2-12-122-1-12-1-1-111-2-2-211-1-1-2211-1-111000000−i3−i3−i3−i3i3i3i3i30i3−i300i3−i3i3−i30-220000000000001-1000
χ292222-12-2-2-2-2-12-122-1-12-1-1-111-2-2-211-1-1-2211-1-111000000i3i3i3i3−i3−i3−i3−i30−i3i300−i3i3−i3i30-220000000000001-1000
χ302222-12-2-2-2-2-12-122-1-12-1-1-111-2-2-211-1-1-2211-1-111000000i3i3i3i3−i3−i3−i3−i30i3−i300i3−i3i3−i302-2000000000000-11000
χ312-22-222200-2-2-2-2-222202-2-20002-22-200002-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000−i2i200−i2i2−i2i22-200000
χ322-22-222200-2-2-2-2-222202-2-20002-22-200002-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000i2−i200i2−i2i2−i2-2200000
χ332-22-222200-2-2-2-2-222202-2-20002-22-200002-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000−i2i200−i2i2−i2i2-2200000
χ342-22-222200-2-2-2-2-222202-2-20002-22-200002-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000i2−i200i2−i2i2−i22-200000
χ352-2-222202-20-2-222-2-220-2-222-22000000-2000002-22i−2i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000002i−2i0000000002−2
χ362-2-222202-20-2-222-2-220-2-222-22000000-2000002-22i−2ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000002i−2i000000000−22
χ372-2-222202-20-2-222-2-220-2-222-22000000-2000002-2−2i2i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000−2i2i000000000−22
χ382-2-222202-20-2-222-2-220-2-222-22000000-2000002-2−2i2ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000−2i2i0000000002−2
χ3944444-24-4-444-24-2-24-2-4-2-2-2-4-42-2-244-4-422-2-222220000000000000000000000000000000000000000000
χ4044444-2-4-4-4-44-24-2-24-24-2-2-2-4-4222-4-4442-222-2-2220000000000000000000000000000000000000000000
χ414444-244-4-44-24-244-2-2-4-2-2-222-444-2-222-4-4-2-222220000000000000000000000000000000000000000000
χ424444-24-444-4-24-244-2-2-4-2-2-2-2-24-4-422224-42222-2-20000000000000000000000000000000000000000000
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
χ454444-2-24-4-44-2-2-2-2-2-21-4111222-2-2-2-2222211-1-1-1-100000000000000000003-3-3300000000000000000000
χ464444-2-24-4-44-2-2-2-2-2-21-4111222-2-2-2-2222211-1-1-1-10000000000000000000-333-300000000000000000000
χ474444-2-2-444-4-2-2-2-2-2-21-4111-2-2-2222222-22-1-1-1-11100000000000000000−2i32i3i3i3−i3−i300000000000000000000
χ484444-2-2-444-4-2-2-2-2-2-21-4111-2-2-2222222-22-1-1-1-111000000000000000002i3−2i3−i3−i3i3i300000000000000000000
χ494444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-22-2-1-111-1-1000000000000000−2i32i300i3−i3i3−i300000000000000000000
χ504444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-22-2-1-111-1-10000000000000002i3−2i300−i3i3−i3i300000000000000000000
χ5144-4-444000044-4-4-4-440-44-400000000000000000002-2-222-2-222-2-2200000000000000000000000000000
χ5244-4-444000044-4-4-4-440-44-40000000000000000000-222-2-222-2-222-200000000000000000000000000000
χ5344-4-4-240000-242-4-42-202-220000000−2i32i30000−2i32i300002-2-22−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i300000000000000000000000000000
χ5444-4-4-240000-242-4-42-202-220000000−2i32i30000−2i32i30000-222-21+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i300000000000000000000000000000
χ5544-4-4-240000-242-4-42-202-2200000002i3−2i300002i3−2i300002-2-22−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i300000000000000000000000000000
χ5644-4-4-240000-242-4-42-202-2200000002i3−2i300002i3−2i30000-222-21−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i300000000000000000000000000000
χ574-44-444-4004-4-4-4-444404-4-4000-44-440000-4400000000000000000000000000000000000000000000000
χ584-44-44-2400-4-42-42-24-20-222000-224-40000-2200000000000000000000000000000000−2i22i200i2−i2i2−i20000000
χ594-44-44-2400-4-42-42-24-20-222000-224-40000-22000000000000000000000000000000002i2−2i200−i2i2−i2i20000000
χ604-44-44-2-4004-42-42-24-20-2220002-2-4400002-20000000000000000000000000000000000006−6−660000000
χ614-44-44-2-4004-42-42-24-20-2220002-2-4400002-2000000000000000000000000000000000000−666−60000000
χ624-44-4-24400-42-42-44-2-20-2220004-4-220000-22000000−2i2−2i22i22i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000
χ634-44-4-24400-42-42-44-2-20-2220004-4-220000-220000002i22i2−2i2−2i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000
χ644-44-4-24-40042-42-44-2-20-222000-442-200002-2000000000066−6−6−6−66600000000000000000000000000000
χ654-44-4-24-40042-42-44-2-20-222000-442-200002-20000000000−6−66666−6−600000000000000000000000000000
χ664-4-44440-440-4-444-4-440-4-44-44-4000000400000-440000000000000000000000000000000000000000000
χ674-4-444-204-40-424-22-4-2022-24-4-2000000200000-224i−4i0000000000000000000000000000−2i2i00000000000
χ684-4-444-204-40-424-22-4-2022-24-4-2000000200000-22−4i4i00000000000000000000000000002i−2i00000000000
χ694-4-444-20-440-424-22-4-2022-2-442000000-2000002-200000000000000000000000000−2i32i3000000000000000
χ704-4-444-20-440-424-22-4-2022-2-442000000-2000002-2000000000000000000000000002i3−2i3000000000000000
χ714-4-44-2404-402-4-24-42-2022-2-224000000-400000-2200−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000
χ724-4-44-2404-402-4-24-42-2022-2-224000000-400000-22002i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000
χ734-4-44-240-4402-4-24-42-2022-22-2-40000004000002-20000006−66−6−66−6600000000000000000000000000000
χ744-4-44-240-4402-4-24-42-2022-22-2-40000004000002-2000000−66−666−66−600000000000000000000000000000
χ7588-8-88-400008-4-844-8-404-44000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-40000-4-4444420-22-20000000−4i34i300002i3−2i3000000000000000000000000000000000000000000000
χ7788-8-8-4-40000-4-4444420-22-200000004i3−4i30000−2i32i3000000000000000000000000000000000000000000000
χ788-88-8-4-4800-84444-4-4202-2-2000-44-4400002-200000000000000000000000000000000000000000000000
χ798-88-8-4-4-80084444-4-4202-2-20004-44-40000-2200000000000000000000000000000000000000000000000
χ808-8-88-4-408-8044-4-44420-2-22-44-40000004000002-20000000000000000000000000000000000000000000
χ818-8-88-4-40-88044-4-44420-2-224-44000000-400000-220000000000000000000000000000000000000000000

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