Finite Group Databasebeta

← Group #13148491

Character table — Group #13148491

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222444444446666666699991212121212121212181818181818181818181818181824242424242424242424363636363636363636363636363636363636363672727272
order12222236664466121212123366666644443666666622224444441212121266121212121212121222444466666612121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-11-1-11-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111-1-111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ61111111111-1-111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111-1-111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-111-1111111111-1-1-1-1-1-1-1-111
χ81111111111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-111-111-1-1-1-111-1-1111111-1-1
χ91111-1-111111-1-1-111-1-11111111111111-1-1-1-111111-1-1-1-111-1-11111-1-11-11-111-1-1-11-11-11-1-111-1-111-1-111-1-11-1-11
χ101111-1-111111-1-1-111-1-11111111111111-1-1-1-1111-1-111-1-1-1-1111111-1-11-11-111-1-1-1-1111-1-1-1-1-11111-1-1-1-111-111-1
χ111111-1-111111-1-1-111-1-111111111-1-1-1-11-1-1-1-111111-1-111-1-111-1-1-1-1-1-11-11-111-1-1111-1-1-11111-1-1-1-111-1-1111-11-1
χ121111-1-111111-1-1-111-1-111111111-1-1-1-11-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-11-11-111-1-11-1-1-11111-1-111-1-11111-1-1-11-11
χ131111-1-11111-11-1-1-1-1111111111111111-1-1-1-111111-1-1-1-111-1-11111-1-1-11-11-1-1111-11-11-11111-1-1-1-1-1-111-1-1-111-1
χ141111-1-11111-11-1-1-1-1111111111111111-1-1-1-1111-1-111-1-1-1-1111111-1-1-11-11-1-11111-1-1-1111-1-111-1-1-1-1-1-1111-1-11
χ151111-1-11111-11-1-1-1-11111111111-1-1-1-11-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-11-11-1-111-1-1-1111-1-111-1-11111-1-111-11-11
χ161111-1-11111-11-1-1-1-11111111111-1-1-1-11-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-11-11-1-111-1111-1-1-1-1-1-111111111-1-11-11-1
χ172222222222222222222-12-1-1-1220000-122-1-1-1-1-122220000000000-1-1-1-122-1-1-1-102002000-1-1-1-100000000-1-100
χ182222222222222222222-12-1-1-1220000-122-1-1-1-1-1-2-2-2-20000000000-1-1-1-122-1-1-1-10-200-20001111000000001100
χ19222222222222222222-12-1222-1-10000-1-1-122-1-1-100000022220000-1-122-1-1-1-1-1-10020020000000000-1-1-1-100-1-1
χ20222222222222222222-12-1222-1-10000-1-1-122-1-1-1000000-2-2-2-20000-1-122-1-1-1-1-1-100-200-2000000000011110011
χ212222222222-2-222-2-2-2-22-12-1-1-1220000-122-1-1-1-1-122220000000000-1-111-2-211110-200-2000-1-1-1-1000000001100
χ222222222222-2-222-2-2-2-22-12-1-1-1220000-122-1-1-1-1-1-2-2-2-20000000000-1-111-2-2111102002000111100000000-1-100
χ232222222222-2-222-2-2-2-2-12-1222-1-10000-1-1-122-1-1-100000022220000-1-1-2-211111100-200-20000000000-1-1-1-10011
χ242222222222-2-222-2-2-2-2-12-1222-1-10000-1-1-122-1-1-1000000-2-2-2-20000-1-1-2-21111110020020000000000111100-1-1
χ252222-2-222222-2-2-222-2-22-12-1-1-1220000-1-2-211-1-1-122-2-2000000000011-112-2-1-1110200-2000-1-11100000000-1100
χ262222-2-222222-2-2-222-2-22-12-1-1-1220000-1-2-211-1-1-1-2-222000000000011-112-2-1-1110-200200011-1-1000000001-100
χ272222-2-222222-2-2-222-2-2-12-1222-1-10000-111-2-2-1-1-100000022-2-20000112-2-11-1-11100-20020000000000-1-111001-1
χ282222-2-222222-2-2-222-2-2-12-1222-1-10000-111-2-2-1-1-1000000-2-2220000112-2-11-1-11100200-2000000000011-1-100-11
χ292222-2-22222-22-2-2-2-2222-12-1-1-1220000-1-2-211-1-1-122-2-20000000000111-1-2211-1-10-2002000-1-111000000001-100
χ302222-2-22222-22-2-2-2-2222-12-1-1-1220000-1-2-211-1-1-1-2-2220000000000111-1-2211-1-10200-200011-1-100000000-1100
χ312222-2-22222-22-2-2-2-222-12-1222-1-10000-111-2-2-1-1-100000022-2-2000011-221-111-1-100200-20000000000-1-11100-11
χ322222-2-22222-22-2-2-2-222-12-1222-1-10000-111-2-2-1-1-1000000-2-222000011-221-111-1-100-2002000000000011-1-1001-1
χ3322-2-20022-2-20000000022-22-2-22-22i2i−2i−2i20000-22-22-200002i−2i002i2i−2i−2i0000000000000000002-20000002i−2i000000
χ3422-2-20022-2-20000000022-22-2-22-22i2i−2i−2i20000-22-2-220000−2i2i002i2i−2i−2i000000000000000000-22000000−2i2i000000
χ3522-2-20022-2-20000000022-22-2-22-2−2i−2i2i2i20000-22-22-20000−2i2i00−2i−2i2i2i0000000000000000002-2000000−2i2i000000
χ3622-2-20022-2-20000000022-22-2-22-2−2i−2i2i2i20000-22-2-2200002i−2i00−2i−2i2i2i000000000000000000-220000002i−2i000000
χ372-22-22-22-22-2002-20000222-2-22-2-22i−2i2i−2i22-22-22-2-200002i−2i00002i−2i2i−2i2-200000000000000000000002i−2i00000000
χ382-22-22-22-22-2002-20000222-2-22-2-2−2i2i−2i2i22-22-22-2-20000−2i2i0000−2i2i−2i2i2-20000000000000000000000−2i2i00000000
χ392-22-2-222-22-200-220000222-2-22-2-22i−2i2i−2i2-22-222-2-20000−2i2i00002i−2i2i−2i-220000000000000000000000−2i2i00000000
χ402-22-2-222-22-200-220000222-2-22-2-2−2i2i−2i2i2-22-222-2-200002i−2i0000−2i2i−2i2i-2200000000000000000000002i−2i00000000
χ412-2-22002-2-220000000022-2-22-2-222-2-2220000-2-22002-200002-22-2-22000000000000000000002-20000002-20000
χ422-2-22002-2-220000000022-2-22-2-222-2-2220000-2-2200-220000-222-2-2200000000000000000000-22000000-220000
χ432-2-22002-2-220000000022-2-22-2-22-222-220000-2-22002-20000-22-222-2000000000000000000002-2000000-220000
χ442-2-22002-2-220000000022-2-22-2-22-222-220000-2-2200-2200002-2-222-200000000000000000000-220000002-20000
χ45444444444444444444-2-2-2-2-2-2-2-200001-2-2-2-21110000000000000011-2-2-2-21111000000000000000000000000
χ464444444444-4-444-4-4-4-4-2-2-2-2-2-2-2-200001-2-2-2-211100000000000000112222-1-1-1-1000000000000000000000000
χ474444-4-444444-4-4-444-4-4-2-2-2-2-2-2-2-200001222211100000000000000-1-1-22-2211-1-1000000000000000000000000
χ484444-4-44444-44-4-4-4-444-2-2-2-2-2-2-2-200001222211100000000000000-1-12-22-2-1-111000000000000000000000000
χ4944-4-40044-4-4000000004-2-4-2224-40000-200002-224-4000000000000000000000000000000-2200000000000000
χ5044-4-40044-4-4000000004-2-4-2224-40000-200002-22-440000000000000000000000000000002-200000000000000
χ5144-4-40044-4-400000000-2424-4-4-220000-200002-220000004i−4i00000000000000000000000000000000−2i2i000000
χ5244-4-40044-4-400000000-2424-4-4-220000-200002-22000000−4i4i000000000000000000000000000000002i−2i000000
χ534-44-44-44-44-4004-400004-2422-2-4-40000-24-4-22-22200000000000000-2200000000000000000000000000000000
χ544-44-44-44-44-4004-40000-24-2-4-44220000-2-224-4-22200000000000000-2200000000000000000000000000000000
χ554-44-44-44-44-4004-40000-2-2-222-22200001-22-221-1-1000000000000001-100003i−3i3i−3i000000000000000000000000
χ564-44-44-44-44-4004-40000-2-2-222-22200001-22-221-1-1000000000000001-10000−3i3i−3i3i000000000000000000000000
χ574-44-4-444-44-400-4400004-2422-2-4-40000-2-442-2-222000000000000002-200000000000000000000000000000000
χ584-44-4-444-44-400-440000-24-2-4-44220000-22-2-44-222000000000000002-200000000000000000000000000000000
χ594-44-4-444-44-400-440000-2-2-222-222000012-22-21-1-100000000000000-1100003i−3i−3i3i000000000000000000000000
χ604-44-4-444-44-400-440000-2-2-222-222000012-22-21-1-100000000000000-110000−3i3i3i−3i000000000000000000000000
χ614-4-44004-4-44000000004-2-42-22-440000-2000022-2004-4000000000000000000000000000000-22000000000000
χ624-4-44004-4-44000000004-2-42-22-440000-2000022-200-440000000000000000000000000000002-2000000000000
χ634-4-44004-4-4400000000-242-44-42-20000-2000022-2000000004-400000000000000000000000000000000-220000
χ644-4-44004-4-4400000000-242-44-42-20000-2000022-200000000-44000000000000000000000000000000002-20000
χ65666666-3-3-3-366-3-3-3-3-3-3000000002222000000000000220000-1-1-1-10000000000200200-1-10000-1-1-1-100000000
χ66666666-3-3-3-366-3-3-3-3-3-300000000-2-2-2-2000000000000-2-2000011110000000000-200-200110000111100000000
χ67666666-3-3-3-3-6-6-3-33333000000002222000000000000220000-1-1-1-10000000000-200-20011000011-1-100000000
χ68666666-3-3-3-3-6-6-3-3333300000000-2-2-2-2000000000000-2-2000011110000000000200200-1-10000-1-11100000000
χ696666-6-6-3-3-3-36-633-3-333000000002222000000000000-2-20000-1-1-1-10000000000-200200110000-1-11100000000
χ706666-6-6-3-3-3-36-633-3-33300000000-2-2-2-200000000000022000011110000000000200-200-1-1000011-1-100000000
χ716666-6-6-3-3-3-3-663333-3-3000000002222000000000000-2-20000-1-1-1-10000000000200-200-1-10000111100000000
χ726666-6-6-3-3-3-3-663333-3-300000000-2-2-2-200000000000022000011110000000000-200200110000-1-1-1-100000000
χ736-66-66-6-33-3300-3333−3333−33000000002i−2i2i−2i0000000000002i−2i0000−ii−ii0000000000000000−i3i30000−i3i3−ii00000000
χ746-66-66-6-33-3300-3333−3333−3300000000−2i2i−2i2i000000000000−2i2i0000i−ii−i0000000000000000i3−i30000i3−i3i−i00000000
χ756-66-66-6-33-3300-33−3333−3333000000002i−2i2i−2i0000000000002i−2i0000−ii−ii0000000000000000i3−i30000i3−i3−ii00000000
χ766-66-66-6-33-3300-33−3333−333300000000−2i2i−2i2i000000000000−2i2i0000i−ii−i0000000000000000−i3i30000−i3i3i−i00000000
χ776-66-6-66-33-33003-333−33−3333000000002i−2i2i−2i000000000000−2i2i0000−ii−ii0000000000000000i3−i30000−i3i3i−i00000000
χ786-66-6-66-33-33003-333−33−333300000000−2i2i−2i2i0000000000002i−2i0000i−ii−i0000000000000000−i3i30000i3−i3−ii00000000
χ796-66-6-66-33-33003-3−333333−33000000002i−2i2i−2i000000000000−2i2i0000−ii−ii0000000000000000−i3i30000i3−i3i−i00000000
χ806-66-6-66-33-33003-3−333333−3300000000−2i2i−2i2i0000000000002i−2i0000i−ii−i0000000000000000i3−i30000−i3i3−ii00000000
χ8188-8-80088-8-800000000-4-44-444-44000020000-22-2000000000000000000000000000000000000000000000000
χ828-8-88008-8-8800000000-4-444-444-4000020000-2-22000000000000000000000000000000000000000000000000
χ831212-12-1200-6-66600000000000000004i4i−4i−4i000000000000000000−2i−2i2i2i0000000000000000000000000000000000
χ841212-12-1200-6-6660000000000000000−4i−4i4i4i0000000000000000002i2i−2i−2i0000000000000000000000000000000000
χ8512-12-121200-666-600000000000000004-4-44000000000000000000-222-20000000000000000000000000000000000
χ8612-12-121200-666-60000000000000000-444-40000000000000000002-2-220000000000000000000000000000000000

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