Finite Group Databasebeta

← Group #13147754

Character table — Group #13147754

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222222222666666669999121212121212121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order1222344444466612121212121212121212121233666666444436661212121212121212121212121212121212121212121212122244446666121212121212121212121212444444441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ61111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ71111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ81111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ911111-1-111-1-1111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-11-11-11-11-11-11-11-1
χ1011111-1-111-1-1111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-11-11-11-11-11-11-11-11
χ1111111-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-11-1-11-111-11-1-11-11
χ1211111-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-11-111-11-1-11-111-11-1
χ1311111-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-111-1-11
χ1411111-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-111-1-111-1-111-1-111-1
χ1511111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-11-1-11-111-11-1-11-111-1
χ1611111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-111-11-1-11-111-11-1-11
χ17222222222222222222222222222-122-1-12-10000-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000022220000-1-1-1-1
χ18222222222222222222222222222-122-1-12-10000-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-2-2-200001111
χ1922222222222222222222222222-12-1-122-120000-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000022220000-1-1-1-10000
χ2022222222222222222222222222-12-1-122-120000-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000-2-2-2-2000011110000
χ212222222-2-2-2-22222222-2-2-2-2-2-2-2-22-122-1-12-10000-1-1-1-122-1-1-2-21111-2-2-1-1-1-1111111110000000000000000000000000022-2-20000-1-111
χ222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-122-1-12-10000-1-1-1-122-1-1-2-21111-2-2-1-1-1-11111111100000000000000000000000000-2-222000011-1-1
χ232222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-122-120000-1-1-1-1-1-12211-2-2-2-211-1-1-1-111111111000000000000000000000022-2-20000-1-1110000
χ242222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-122-120000-1-1-1-1-1-12211-2-2-2-211-1-1-1-1111111110000000000000000000000-2-222000011-1-10000
χ2522222-2-222-2-2222-2-2-2-22222-2-2-2-22-122-1-12-10000-1-1-1-1-2-2112211-1-1-2-21111-1-1-1-11111000000000000000000000000002-22-20000-11-11
χ2622222-2-222-2-2222-2-2-2-22222-2-2-2-22-122-1-12-10000-1-1-1-1-2-2112211-1-1-2-21111-1-1-1-1111100000000000000000000000000-22-2200001-11-1
χ2722222-2-222-2-2222-2-2-2-22222-2-2-2-2-12-1-122-120000-1-1-1-111-2-2-1-1-2-222111111-1-1-1-1111100000000000000000000002-22-20000-11-110000
χ2822222-2-222-2-2222-2-2-2-22222-2-2-2-2-12-1-122-120000-1-1-1-111-2-2-1-1-2-222111111-1-1-1-111110000000000000000000000-22-2200001-11-10000
χ2922222-2-2-2-222222-2-2-2-2-2-2-2-222222-122-1-12-10000-1-1-1-1-2-211-2-2-1-1112211111111-1-1-1-1000000000000000000000000002-2-220000-111-1
χ3022222-2-2-2-222222-2-2-2-2-2-2-2-222222-122-1-12-10000-1-1-1-1-2-211-2-2-1-1112211111111-1-1-1-100000000000000000000000000-222-200001-1-11
χ3122222-2-2-2-222222-2-2-2-2-2-2-2-22222-12-1-122-120000-1-1-1-111-2-21122-2-2-1-111111111-1-1-1-100000000000000000000002-2-220000-111-10000
χ3222222-2-2-2-222222-2-2-2-2-2-2-2-22222-12-1-122-120000-1-1-1-111-2-21122-2-2-1-111111111-1-1-1-10000000000000000000000-222-200001-1-110000
χ3322-2-222-200002-2-222-2-200000000222-22-2-2-222-2-222-2-22-22-20000000022-2-2000000002-2000022-2-222-2-2000000000000000000000000
χ3422-2-222-200002-2-222-2-200000000222-22-2-2-2-2-22222-2-22-22-20000000022-2-200000000-220000-2-222-2-222000000000000000000000000
χ3522-2-22-2200002-2-2-2-22200000000222-22-2-2-222-2-222-2-2-22-2200000000-2-22200000000-220000-2-22222-2-2000000000000000000000000
χ3622-2-22-2200002-2-2-2-22200000000222-22-2-2-2-2-22222-2-2-22-2200000000-2-222000000002-2000022-2-2-2-222000000000000000000000000
χ372-22-2200002-2-22-20000000022-2-222-2-2-222-22i−2i2i−2i2-22-20000002-2002-20000000022-2-200002i−2i00002i−2i2i−2i00002i2i−2i−2i0000000000000000
χ382-22-2200002-2-22-20000000022-2-222-2-2-222-2−2i2i−2i2i2-22-20000002-2002-20000000022-2-20000−2i2i0000−2i2i−2i2i0000−2i−2i2i2i0000000000000000
χ392-22-220000-22-22-200000000-2-22222-2-2-222-22i−2i2i−2i2-22-2000000-2200-2200000000-2-2220000−2i2i00002i−2i2i−2i0000−2i−2i2i2i0000000000000000
χ402-22-220000-22-22-200000000-2-22222-2-2-222-2−2i2i−2i2i2-22-2000000-2200-2200000000-2-22200002i−2i0000−2i2i−2i2i00002i2i−2i−2i0000000000000000
χ412-2-222002-200-2-22000022-2-2000022-22-2-2-222i−2i−2i2i2-2-2200002-2002-200000022-2-20000002i−2i0000002i−2i−2i2i2i2i−2i−2i00000000000000000000
χ422-2-222002-200-2-22000022-2-2000022-22-2-2-22−2i2i2i−2i2-2-2200002-2002-200000022-2-2000000−2i2i000000−2i2i2i−2i−2i−2i2i2i00000000000000000000
χ432-2-22200-2200-2-220000-2-222000022-22-2-2-222i−2i−2i2i2-2-220000-2200-22000000-2-222000000−2i2i0000002i−2i−2i2i−2i−2i2i2i00000000000000000000
χ442-2-22200-2200-2-220000-2-222000022-22-2-2-22−2i2i2i−2i2-2-220000-2200-22000000-2-2220000002i−2i000000−2i2i2i−2i2i2i−2i−2i00000000000000000000
χ4544444444444444444444444444-2-2-2-2-2-2-2-200001111-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000
χ464444444-4-4-4-44444444-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-200001111-2-2-2-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ4744444-4-444-4-4444-4-4-4-44444-4-4-4-4-2-2-2-2-2-2-2-2000011112222-2-222-2-222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000
χ4844444-4-4-4-444444-4-4-4-4-4-4-4-44444-2-2-2-2-2-2-2-200001111222222-2-222-2-2-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000
χ4944-4-444-400004-4-444-4-4000000004-24-4-22-420000-2-2224-4-2200000000-2-2220000000000000000000000000000000000000000000000
χ5044-4-444-400004-4-444-4-400000000-24-224-42-40000-2-222-224-400000000-2-2220000000000000000000000000000000000000000000000
χ5144-4-444-400004-4-444-4-400000000-2-2-22-2222000011-1-1-22-220000000011-1-13i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000000000
χ5244-4-444-400004-4-444-4-400000000-2-2-22-2222000011-1-1-22-220000000011-1-1−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000000000
χ5344-4-44-4400004-4-4-4-444000000004-24-4-22-420000-2-222-442-20000000022-2-20000000000000000000000000000000000000000000000
χ5444-4-44-4400004-4-4-4-44400000000-24-224-42-40000-2-2222-2-440000000022-2-20000000000000000000000000000000000000000000000
χ5544-4-44-4400004-4-4-4-44400000000-2-2-22-2222000011-1-12-22-200000000-1-1113i−3i3i−3i−3i3i−3i3i00000000000000000000000000000000000000
χ5644-4-44-4400004-4-4-4-44400000000-2-2-22-2222000011-1-12-22-200000000-1-111−3i3i−3i3i3i−3i3i−3i00000000000000000000000000000000000000
χ574-44-4400004-4-44-40000000044-4-44-2-4-42-2420000-22-22000000-22004-400000000-2-22200000000000000000000000000000000000000
χ584-44-4400004-4-44-40000000044-4-4-2422-44-2-40000-22-220000004-400-2200000000-2-22200000000000000000000000000000000000000
χ594-44-4400004-4-44-40000000044-4-4-2-2222-2-2200001-11-1000000-2200-223i−3i3i−3i3i−3i−3i3i11-1-100000000000000000000000000000000000000
χ604-44-4400004-4-44-40000000044-4-4-2-2222-2-2200001-11-1000000-2200-22−3i3i−3i3i−3i3i3i−3i11-1-100000000000000000000000000000000000000
χ614-44-440000-44-44-400000000-4-4444-2-4-42-2420000-22-220000002-200-440000000022-2-200000000000000000000000000000000000000
χ624-44-440000-44-44-400000000-4-444-2422-44-2-40000-22-22000000-44002-20000000022-2-200000000000000000000000000000000000000
χ634-44-440000-44-44-400000000-4-444-2-2222-2-2200001-11-10000002-2002-23i−3i3i−3i−3i3i3i−3i-1-11100000000000000000000000000000000000000
χ644-44-440000-44-44-400000000-4-444-2-2222-2-2200001-11-10000002-2002-2−3i3i−3i3i3i−3i−3i3i-1-11100000000000000000000000000000000000000
χ654-4-444004-400-4-44000044-4-400004-2-4422-4-20000-222-200004-400-22000000-2-222000000000000000000000000000000000000000000
χ664-4-444004-400-4-44000044-4-40000-242-2-4-4240000-222-20000-22004-4000000-2-222000000000000000000000000000000000000000000
χ674-4-444004-400-4-44000044-4-40000-2-22-2222-200001-1-110000-2200-22003i−3i−3i3i11-1-1−3i3i3i−3i00000000000000000000000000000000000000
χ684-4-444004-400-4-44000044-4-40000-2-22-2222-200001-1-110000-2200-2200−3i3i3i−3i11-1-13i−3i−3i3i00000000000000000000000000000000000000
χ694-4-44400-4400-4-440000-4-44400004-2-4422-4-20000-222-20000-44002-200000022-2-2000000000000000000000000000000000000000000
χ704-4-44400-4400-4-440000-4-4440000-242-2-4-4240000-222-200002-200-4400000022-2-2000000000000000000000000000000000000000000
χ714-4-44400-4400-4-440000-4-4440000-2-22-2222-200001-1-1100002-2002-2003i−3i−3i3i-1-1113i−3i−3i3i00000000000000000000000000000000000000
χ724-4-44400-4400-4-440000-4-4440000-2-22-2222-200001-1-1100002-2002-200−3i3i3i−3i-1-111−3i3i3i−3i00000000000000000000000000000000000000
χ736666-3666666-3-3-3-3-3-3-3-3-3-3-3-3-3-3-30000000022220000000000000000000000000000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ746666-3666666-3-3-3-3-3-3-3-3-3-3-3-3-3-3-300000000-2-2-2-20000000000000000000000000000-2-2-2-2-2-211111111111111110000000000000000
χ756666-366-6-6-6-6-3-3-3-3-3-3-333333333000000002222000000000000000000000000000022-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ766666-366-6-6-6-6-3-3-3-3-3-3-33333333300000000-2-2-2-20000000000000000000000000000-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ776666-3-6-666-6-6-3-3-33333-3-3-3-333330000000022220000000000000000000000000000-2-222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ786666-3-6-666-6-6-3-3-33333-3-3-3-3333300000000-2-2-2-2000000000000000000000000000022-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ796666-3-6-6-6-666-3-3-333333333-3-3-3-30000000022220000000000000000000000000000-2-2-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ806666-3-6-6-6-666-3-3-333333333-3-3-3-300000000-2-2-2-200000000000000000000000000002222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ8166-6-6-36-60000-333-3-33333−3333−3333−3333−330000000022-2-200000000000000000000000000002-20000-1-111-1-1113−33−33−33−30000000000000000
χ8266-6-6-36-60000-333-3-33333−3333−3333−3333−3300000000-2-2220000000000000000000000000000-22000011-1-111-1-1−33−33−33−330000000000000000
χ8366-6-6-36-60000-333-3-333−3333−3333−3333−33330000000022-2-200000000000000000000000000002-20000-1-111-1-111−33−33−33−330000000000000000
χ8466-6-6-36-60000-333-3-333−3333−3333−3333−333300000000-2-2220000000000000000000000000000-22000011-1-111-1-13−33−33−33−30000000000000000
χ8566-6-6-3-660000-33333-3-333−3333−33−3333−33330000000022-2-20000000000000000000000000000-22000011-1-1-1-1113−33−3−33−330000000000000000
χ8666-6-6-3-660000-33333-3-333−3333−33−3333−333300000000-2-22200000000000000000000000000002-20000-1-11111-1-1−33−333−33−30000000000000000
χ8766-6-6-3-660000-33333-3-3−3333−333333−3333−330000000022-2-20000000000000000000000000000-22000011-1-1-1-111−33−333−33−30000000000000000
χ8866-6-6-3-660000-33333-3-3−3333−333333−3333−3300000000-2-22200000000000000000000000000002-20000-1-11111-1-13−33−3−33−330000000000000000
χ896-66-6-300006-63-3333−3333−3333−33−3333-3-333000000002i−2i2i−2i000000000000000000000000000000002i−2i−i3i3−i3i3−ii−iii3−i3−i3i3−i−iii0000000000000000
χ906-66-6-300006-63-3333−3333−3333−33−3333-3-33300000000−2i2i−2i2i00000000000000000000000000000000−2i2ii3−i3i3−i3i−ii−i−i3i3i3−i3ii−i−i0000000000000000
χ916-66-6-300006-63-33−3333−3333−333333−33-3-333000000002i−2i2i−2i000000000000000000000000000000002i−2ii3−i3i3−i3−ii−ii−i3i3i3−i3−i−iii0000000000000000
χ926-66-6-300006-63-33−3333−3333−333333−33-3-33300000000−2i2i−2i2i00000000000000000000000000000000−2i2i−i3i3−i3i3i−ii−ii3−i3−i3i3ii−i−i0000000000000000
χ936-66-6-30000-663-3333−3333−33−333333−3333-3-3000000002i−2i2i−2i00000000000000000000000000000000−2i2i−i3i3−i3i3−ii−ii−i3i3i3−i3ii−i−i0000000000000000
χ946-66-6-30000-663-3333−3333−33−333333−3333-3-300000000−2i2i−2i2i000000000000000000000000000000002i−2ii3−i3i3−i3i−ii−ii3−i3−i3i3−i−iii0000000000000000
χ956-66-6-30000-663-33−3333−333333−33−333333-3-3000000002i−2i2i−2i00000000000000000000000000000000−2i2ii3−i3i3−i3−ii−iii3−i3−i3i3ii−i−i0000000000000000
χ966-66-6-30000-663-33−3333−333333−33−333333-3-300000000−2i2i−2i2i000000000000000000000000000000002i−2i−i3i3−i3i3i−ii−i−i3i3i3−i3−i−iii0000000000000000
χ976-6-66-3006-60033-333−33−3333-3-333−333333−33000000002i−2i−2i2i0000000000000000000000000000002i−2i00−i3i3i3−i3−iii−i−i−iii−i3i3i3−i30000000000000000
χ986-6-66-3006-60033-333−33−3333-3-333−333333−3300000000−2i2i2i−2i000000000000000000000000000000−2i2i00i3−i3−i3i3i−i−iiii−i−ii3−i3−i3i30000000000000000
χ996-6-66-3006-60033-3−333333−33-3-33333−33−3333000000002i−2i−2i2i0000000000000000000000000000002i−2i00i3−i3−i3i3−iii−i−i−iiii3−i3−i3i30000000000000000
χ1006-6-66-3006-60033-3−333333−33-3-33333−33−333300000000−2i2i2i−2i000000000000000000000000000000−2i2i00−i3i3i3−i3i−i−iiii−i−i−i3i3i3−i30000000000000000
χ1016-6-66-300-660033-333−33−333333-3-333−33−3333000000002i−2i−2i2i000000000000000000000000000000−2i2i00−i3i3i3−i3−iii−iii−i−ii3−i3−i3i30000000000000000
χ1026-6-66-300-660033-333−33−333333-3-333−33−333300000000−2i2i2i−2i0000000000000000000000000000002i−2i00i3−i3−i3i3i−i−ii−i−iii−i3i3i3−i30000000000000000
χ1036-6-66-300-660033-3−333333−3333-3-3−333333−33000000002i−2i−2i2i000000000000000000000000000000−2i2i00i3−i3−i3i3−iii−iii−i−i−i3i3i3−i30000000000000000
χ1046-6-66-300-660033-3−333333−3333-3-3−333333−3300000000−2i2i2i−2i0000000000000000000000000000002i−2i00−i3i3i3−i3i−i−ii−i−iiii3−i3−i3i30000000000000000

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