Finite Group Databasebeta

← Group #11780242

Character table — Group #11780242

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222224444444444444888888881212121216161616161616161624242424242424242424242424242424242424242424363636367272
order12223344446666663466612121212121212121212121212121212444441212121212121212246688881212121212122424242424242424888844
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
χ3111111111111111111111111111111111111111-1-1111111111-11-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ51111111111111111111111111111111111111-1-1111111111111-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1
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
χ92222222-22-22222222-2222-2-2-2222-22-2-222-2-2-2-222000000000000-200000022-2-20000000000000000
χ102222222-22-22222222-2222-2-2-2222-22-2-222-2-2-2-2-2-20000000000002000000-2-2220000000000000000
χ11222222-22-222222222-2222222-2-2-22-2-2-2-2-2-2-2220022000000000-20-2-2000000002200000000000000
χ12222222-22-222222222-2222222-2-2-22-2-2-2-2-2-2-22200-2-2000000000202200000000-2-200000000000000
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
χ1522222-12222-12-122-1-12-1-1-122-12-1-1-12-12-1-1-1-1-1-10022222-1-1-1-1-1-120-1-100220000-1-10000-1-1-1-1000000
χ1622222-12222-12-122-1-12-1-1-122-12-1-1-12-12-1-1-1-1-1-10022-2-2-211111120-1-100-2-20000-1-100001111000000
χ1722222-12222-12-122-1-12-1-1-122-12-1-1-12-12-1-1-1-1-1-100-2-2222-1-1-1-1-1-1-201100-2-200001100001111000000
χ1822222-12222-12-122-1-12-1-1-122-12-1-1-12-12-1-1-1-1-1-100-2-2-2-2-2111111-201100220000110000-1-1-1-1000000
χ1922222-1-22-22-12-122-1-1-2-1-1-122-1-211-1-21-21111-1-10022000−i3i3−i3−i3i3i3-201100000000-1-10000−i3−i3i3i3000000
χ2022222-1-22-22-12-122-1-1-2-1-1-122-1-211-1-21-21111-1-10022000i3−i3i3i3−i3−i3-201100000000-1-10000i3i3−i3−i3000000
χ2122222-1-22-22-12-122-1-1-2-1-1-122-1-211-1-21-21111-1-100-2-2000−i3i3−i3−i3i3i320-1-100000000110000i3i3−i3−i3000000
χ2222222-1-22-22-12-122-1-1-2-1-1-122-1-211-1-21-21111-1-100-2-2000i3−i3i3i3−i3−i320-1-100000000110000−i3−i3i3i3000000
χ232222-1222222-12-1-12-12-1-1-1-1-12-1222-12-1-1-1-1-1-1-122002-1-122-1-1-1-102002200-1-1-1-100-1-1-1-10000000000
χ242222-1222222-12-1-12-12-1-1-1-1-12-1222-12-1-1-1-1-1-1-12200-211-2-211110200-2-200-1-1-1-10011110000000000
χ252222-1222222-12-1-12-12-1-1-1-1-12-1222-12-1-1-1-1-1-1-1-2-2002-1-122-1-1-1-10-200-2-20011110011110000000000
χ262222-1222222-12-1-12-12-1-1-1-1-12-1222-12-1-1-1-1-1-1-1-2-200-211-2-211110-2002200111100-1-1-1-10000000000
χ272222-122-22-22-12-1-12-1-2-1-1-111-2-122-2-1-21-1-1111122000−i3i300−i3i3−i3i30-2000000-1-11100−i3−i3i3i30000000000
χ282222-122-22-22-12-1-12-1-2-1-1-111-2-122-2-1-21-1-1111122000i3−i300i3−i3i3−i30-2000000-1-11100i3i3−i3−i30000000000
χ292222-122-22-22-12-1-12-1-2-1-1-111-2-122-2-1-21-1-11111-2-2000−i3i300−i3i3−i3i30200000011-1-100i3i3−i3−i30000000000
χ302222-122-22-22-12-1-12-1-2-1-1-111-2-122-2-1-21-1-11111-2-2000i3−i300i3−i3i3−i30200000011-1-100−i3−i3i3i30000000000
χ312-22-222-2020-2-2-22-22202-2-2000-22-202002-200002i−2i00000000000000000−i2i22i−2i00000000−i2i2−i2i222−2−200
χ322-22-222-2020-2-2-22-22202-2-2000-22-202002-200002i−2i00000000000000000i2−i22i−2i00000000i2−i2i2−i2−2−22200
χ332-22-222-2020-2-2-22-22202-2-2000-22-202002-20000−2i2i00000000000000000−i2i2−2i2i00000000−i2i2−i2i2−2−22200
χ342-22-222-2020-2-2-22-22202-2-2000-22-202002-20000−2i2i00000000000000000i2−i2−2i2i00000000i2−i2i2−i222−2−200
χ352-2-2222020-2-222-2-2-220-2-222-22000-200000002-2002i−2i0000000000000−i2i20000002i−2i−i2i2−i2i200002−22−200
χ362-2-2222020-2-222-2-2-220-2-222-22000-200000002-2002i−2i0000000000000i2−i20000002i−2ii2−i2i2−i20000−22−2200
χ372-2-2222020-2-222-2-2-220-2-222-22000-200000002-200−2i2i0000000000000−i2i2000000−2i2i−i2i2−i2i20000−22−2200
χ382-2-2222020-2-222-2-2-220-2-222-22000-200000002-200−2i2i0000000000000i2−i2000000−2i2ii2−i2i2−i200002−22−200
χ3944444-24-44-4-24-244-2-2-4-2-2-2-4-424-2-2242-4-2-2222200000000000000000000000000000000000000000
χ4044444-2-4-4-4-4-24-244-2-24-2-2-2-4-42-4222-4-2422-2-22200000000000000000000000000000000000000000
χ414444-24-44-444-24-2-24-2-4-2-2-2-2-242-4-442-422222-2-200000000000000000000000000000000000000000
χ424444-24-4-4-4-44-24-2-24-24-2-2-222-42-4-4-424-222-2-22200000000000000000000000000000000000000000
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
χ454444-2-24-44-4-2-2-2-2-2-21-4111222-2-2-22-22211-1-1-1-100000−2i32i300i3−i3i3−i30000000000000000000000000000
χ464444-2-24-44-4-2-2-2-2-2-21-4111222-2-2-22-22211-1-1-1-1000002i3−2i300−i3i3−i3i30000000000000000000000000000
χ474444-2-2-44-44-2-2-2-2-2-21-4111-2-2-2222-2222-1-1-1-1110000000−2i32i3i3i3−i3−i30000000000000000000000000000
χ484444-2-2-44-44-2-2-2-2-2-21-4111-2-2-2222-2222-1-1-1-11100000002i3−2i3−i3−i3i3i30000000000000000000000000000
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
χ5144-4-44400004-4-4-44-440-44-40000000000000000000000000000000000000000000000000002-2-2200
χ5244-4-44400004-4-4-44-440-44-4000000000000000000000000000000000000000000000000000-222-200
χ534-44-44440-40-4-4-44-44404-4-40004-440-400-44000000000000000000000000000000000000000000000
χ544-44-44-240-402-424-4-2-20-22200042-20-4002-2000000000000000000000000000000000006−6−66000000
χ554-44-44-240-402-424-4-2-20-22200042-20-4002-200000000000000000000000000000000000−666−6000000
χ564-44-44-2-40402-424-4-2-20-222000-4-220400-2200000000000000000000000−2i22i20000000000i2−i2i2−i2000000
χ574-44-44-2-40402-424-4-2-20-222000-4-220400-22000000000000000000000002i2−2i20000000000−i2i2−i2i2000000
χ584-44-4-2440-40-42-4-224-20-222000-2-4402002-2000000000000000000000000000−2i32i30000000000000000
χ594-44-4-2440-40-42-4-224-20-222000-2-4402002-20000000000000000000000000002i3−2i30000000000000000
χ604-44-4-24-4040-42-4-224-20-22200024-40-200-2200004i−4i0000000000000000000−2i2i000000000000000000
χ614-44-4-24-4040-42-4-224-20-22200024-40-200-220000−4i4i00000000000000000002i−2i000000000000000000
χ624-4-44440-404-444-4-4-440-4-44-44-400040000000-4400000000000000000000000000000000000000000
χ634-4-444-2040-424-2-4-42-2022-24-4-200020000000-22004i−4i000000000000000000000−2i2i00000000000000
χ644-4-444-2040-424-2-4-42-2022-24-4-200020000000-2200−4i4i0000000000000000000002i−2i00000000000000
χ654-4-444-20-40424-2-4-42-2022-2-442000-200000002-2000000000000000−2i32i3000000000000000000000000
χ664-4-444-20-40424-2-4-42-2022-2-442000-200000002-20000000000000002i3−2i3000000000000000000000000
χ674-4-44-24040-4-4-2422-4-2022-2-224000-40000000-2200000000000000000−2i22i200000000i2−i2i2−i20000000000
χ684-4-44-24040-4-4-2422-4-2022-2-224000-40000000-22000000000000000002i2−2i200000000−i2i2−i2i20000000000
χ694-4-44-240-404-4-2422-4-2022-22-2-4000400000002-20000000000000000000000000006−6−660000000000
χ704-4-44-240-404-4-2422-4-2022-22-2-4000400000002-2000000000000000000000000000−666−60000000000
χ7188-8-88-40000-4-84-884-404-44000000000000000000000000000000000000000000000000000000000
χ7288-8-8-48000084-84-4-8-404-44000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-40000-4444-4420-22-20000000000006-60000000000000000000000000000000000000000000
χ7488-8-8-4-40000-4444-4420-22-2000000000000-660000000000000000000000000000000000000000000
χ758-88-8-4-480-80444-44-4202-2-2000-44-40400-22000000000000000000000000000000000000000000000
χ768-88-8-4-4-8080444-44-4202-2-20004-440-4002-2000000000000000000000000000000000000000000000
χ778-8-88-4-4080-84-4-444420-2-22-44-4000400000002-200000000000000000000000000000000000000000
χ788-8-88-4-40-8084-4-444420-2-224-44000-40000000-2200000000000000000000000000000000000000000

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