Finite Group Databasebeta

← Group #13147786

Character table — Group #13147786

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222222222666666669999121212121212121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order122234444446661212121212121212121212123366666644443666121212121212121212121212121212121212121212121212224444666612121212121212121212121222224444666612121212
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
χ51111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-1
χ61111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111
χ71111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ81111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ911111-1-111-1-1111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-11-11-11-11-11-11-11-1
χ1011111-1-111-1-1111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-11-11-11-11-11-11-11-11
χ1111111-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11-11-1-11-111-11-1-11-11
χ1211111-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-11-111-11-1-11-111-11-1
χ1311111-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-11
χ1411111-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1
χ1511111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111111-1-11-111-11-1-11-111-1
χ1611111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-111-11-1-11-111-11-1-11
χ17222222222222222222222222222-122-1-1-120000-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000022220000-1-1-1-10000
χ18222222222222222222222222222-122-1-1-120000-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000-2-2-2-2000011110000
χ1922222222222222222222222222-12-1-1222-10000-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000022220000-1-1-1-1
χ2022222222222222222222222222-12-1-1222-10000-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-2-2-200001111
χ212222222-2-2-2-22222222-2-2-2-2-2-2-2-22-122-1-1-120000-1-1-1-122-1-1-2-21111-2-2-1-1-1-111111111000000000000000000000022-2-20000-1-1110000
χ222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-122-1-1-120000-1-1-1-122-1-1-2-21111-2-2-1-1-1-1111111110000000000000000000000-2-222000011-1-10000
χ232222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-1222-10000-1-1-1-1-1-12211-2-2-2-211-1-1-1-1111111110000000000000000000000000022-2-20000-1-111
χ242222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-1222-10000-1-1-1-1-1-12211-2-2-2-211-1-1-1-11111111100000000000000000000000000-2-222000011-1-1
χ2522222-2-222-2-2222-2-2-2-22222-2-2-2-22-122-1-1-120000-1-1-1-1-2-21122-1-111-2-21111-1-1-1-1111100000000000000000000002-22-20000-11-110000
χ2622222-2-222-2-2222-2-2-2-22222-2-2-2-22-122-1-1-120000-1-1-1-1-2-21122-1-111-2-21111-1-1-1-111110000000000000000000000-22-2200001-11-10000
χ2722222-2-222-2-2222-2-2-2-22222-2-2-2-2-12-1-1222-10000-1-1-1-111-2-2-1-122-2-2111111-1-1-1-11111000000000000000000000000002-22-20000-11-11
χ2822222-2-222-2-2222-2-2-2-22222-2-2-2-2-12-1-1222-10000-1-1-1-111-2-2-1-122-2-2111111-1-1-1-1111100000000000000000000000000-22-2200001-11-1
χ2922222-2-2-2-222222-2-2-2-2-2-2-2-222222-122-1-1-120000-1-1-1-1-2-211-2-211-1-12211111111-1-1-1-100000000000000000000002-2-220000-111-10000
χ3022222-2-2-2-222222-2-2-2-2-2-2-2-222222-122-1-1-120000-1-1-1-1-2-211-2-211-1-12211111111-1-1-1-10000000000000000000000-222-200001-1-110000
χ3122222-2-2-2-222222-2-2-2-2-2-2-2-22222-12-1-1222-10000-1-1-1-111-2-211-2-222-1-111111111-1-1-1-1000000000000000000000000002-2-220000-111-1
χ3222222-2-2-2-222222-2-2-2-2-2-2-2-22222-12-1-1222-10000-1-1-1-111-2-211-2-222-1-111111111-1-1-1-100000000000000000000000000-222-200001-1-11
χ3322-2-22002-2002-2-2000022-2-20000222-22-2-2-22i2i−2i−2i22-2-200002-22-20000000022-2-2000000002i−2i00002i2i−2i−2i00002i2i−2i−2i0000000000000000
χ3422-2-22002-2002-2-2000022-2-20000222-22-2-2-2−2i−2i2i2i22-2-200002-22-20000000022-2-200000000−2i2i0000−2i−2i2i2i0000−2i−2i2i2i0000000000000000
χ3522-2-2200-22002-2-20000-2-2220000222-22-2-2-22i2i−2i−2i22-2-20000-22-2200000000-2-22200000000−2i2i00002i2i−2i−2i0000−2i−2i2i2i0000000000000000
χ3622-2-2200-22002-2-20000-2-2220000222-22-2-2-2−2i−2i2i2i22-2-20000-22-2200000000-2-222000000002i−2i0000−2i−2i2i2i00002i2i−2i−2i0000000000000000
χ372-22-222-20000-22-222-2-20000000022-22-22-2-22i−2i2i−2i2-22-22-22-20000000022-2-200000000002i−2i0000002i−2i2i−2i2i2i−2i−2i00000000000000000000
χ382-22-222-20000-22-222-2-20000000022-22-22-2-2−2i2i−2i2i2-22-22-22-20000000022-2-20000000000−2i2i000000−2i2i−2i2i−2i−2i2i2i00000000000000000000
χ392-22-22-220000-22-2-2-2220000000022-22-22-2-22i−2i2i−2i2-22-2-22-2200000000-2-2220000000000−2i2i0000002i−2i2i−2i−2i−2i2i2i00000000000000000000
χ402-22-22-220000-22-2-2-2220000000022-22-22-2-2−2i2i−2i2i2-22-2-22-2200000000-2-22200000000002i−2i000000−2i2i−2i2i2i2i−2i−2i00000000000000000000
χ412-2-22200002-2-2-220000000022-2-222-2-2-2-2222-2-222-2-22000000002-22-20000000022-2-22-2000022-2-22-2-22000000000000000000000000
χ422-2-22200002-2-2-220000000022-2-222-2-2-2-222-222-22-2-22000000002-22-20000000022-2-2-220000-2-222-222-2000000000000000000000000
χ432-2-2220000-22-2-2200000000-2-22222-2-2-2-2222-2-222-2-2200000000-22-2200000000-2-222-220000-2-2222-2-22000000000000000000000000
χ442-2-2220000-22-2-2200000000-2-22222-2-2-2-222-222-22-2-2200000000-22-2200000000-2-2222-2000022-2-2-222-2000000000000000000000000
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
χ4744444-4-444-4-4444-4-4-4-44444-4-4-4-4-2-2-2-2-2-2-2-2000011112222-2-2-2-22222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000
χ4844444-4-4-4-444444-4-4-4-4-4-4-4-44444-2-2-2-2-2-2-2-20000111122222222-2-2-2-2-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000
χ4944-4-44004-4004-4-4000044-4-400004-24-4-222-40000-2-22200004-4-2200000000-2-222000000000000000000000000000000000000000000
χ5044-4-44004-4004-4-4000044-4-40000-24-224-4-420000-2-2220000-224-400000000-2-222000000000000000000000000000000000000000000
χ5144-4-44004-4004-4-4000044-4-40000-2-2-22-2222000011-1-10000-22-2200003i−3i3i−3i11-1-13i−3i3i−3i00000000000000000000000000000000000000
χ5244-4-44004-4004-4-4000044-4-40000-2-2-22-2222000011-1-10000-22-220000−3i3i−3i3i11-1-1−3i3i−3i3i00000000000000000000000000000000000000
χ5344-4-4400-44004-4-40000-4-44400004-24-4-222-40000-2-2220000-442-20000000022-2-2000000000000000000000000000000000000000000
χ5444-4-4400-44004-4-40000-4-4440000-24-224-4-420000-2-22200002-2-440000000022-2-2000000000000000000000000000000000000000000
χ5544-4-4400-44004-4-40000-4-4440000-2-2-22-2222000011-1-100002-22-200003i−3i3i−3i-1-111−3i3i−3i3i00000000000000000000000000000000000000
χ5644-4-4400-44004-4-40000-4-4440000-2-2-22-2222000011-1-100002-22-20000−3i3i−3i3i-1-1113i−3i3i−3i00000000000000000000000000000000000000
χ574-44-444-40000-44-444-4-4000000004-2-442-22-40000-22-224-4-2200000000-2-2220000000000000000000000000000000000000000000000
χ584-44-444-40000-44-444-4-400000000-242-2-44-420000-22-22-224-400000000-2-2220000000000000000000000000000000000000000000000
χ594-44-444-40000-44-444-4-400000000-2-22-22-22200001-11-1-22-220000000011-1-13i−3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000
χ604-44-444-40000-44-444-4-400000000-2-22-22-22200001-11-1-22-220000000011-1-1−3i3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000
χ614-44-44-440000-44-4-4-444000000004-2-442-22-40000-22-22-442-20000000022-2-20000000000000000000000000000000000000000000000
χ624-44-44-440000-44-4-4-44400000000-242-2-44-420000-22-222-2-440000000022-2-20000000000000000000000000000000000000000000000
χ634-44-44-440000-44-4-4-44400000000-2-22-22-22200001-11-12-22-200000000-1-1113i−3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000
χ644-44-44-440000-44-4-4-44400000000-2-22-22-22200001-11-12-22-200000000-1-111−3i3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000
χ654-4-44400004-4-4-440000000044-4-44-2-4-422-240000-222-200000000-224-400000000-2-22200000000000000000000000000000000000000
χ664-4-44400004-4-4-440000000044-4-4-2422-4-44-20000-222-2000000004-4-2200000000-2-22200000000000000000000000000000000000000
χ674-4-44400004-4-4-440000000044-4-4-2-22222-2-200001-1-1100000000-22-223i−3i−3i3i−3i3i3i−3i11-1-100000000000000000000000000000000000000
χ684-4-44400004-4-4-440000000044-4-4-2-22222-2-200001-1-1100000000-22-22−3i3i3i−3i3i−3i−3i3i11-1-100000000000000000000000000000000000000
χ694-4-4440000-44-4-4400000000-4-4444-2-4-422-240000-222-2000000002-2-440000000022-2-200000000000000000000000000000000000000
χ704-4-4440000-44-4-4400000000-4-444-2422-4-44-20000-222-200000000-442-20000000022-2-200000000000000000000000000000000000000
χ714-4-4440000-44-4-4400000000-4-444-2-22222-2-200001-1-11000000002-22-23i−3i−3i3i3i−3i−3i3i-1-11100000000000000000000000000000000000000
χ724-4-4440000-44-4-4400000000-4-444-2-22222-2-200001-1-11000000002-22-2−3i3i3i−3i−3i3i3i−3i-1-11100000000000000000000000000000000000000
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
χ756666-366-6-6-6-6-3-3-3-3-3-3-3333333330000000022220000000000000000000000000000-2-222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ766666-366-6-6-6-6-3-3-3-3-3-3-33333333300000000-2-2-2-2000000000000000000000000000022-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ776666-3-6-666-6-6-3-3-33333-3-3-3-333330000000022220000000000000000000000000000-2-2-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ786666-3-6-666-6-6-3-3-33333-3-3-3-3333300000000-2-2-2-200000000000000000000000000002222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ796666-3-6-6-6-666-3-3-333333333-3-3-3-3000000002222000000000000000000000000000022-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ806666-3-6-6-6-666-3-3-333333333-3-3-3-300000000-2-2-2-20000000000000000000000000000-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ8166-6-6-3006-600-33333−3333−33-3-33333−3333−33000000002i2i−2i−2i000000000000000000000000000000002i−2i−i3i3−i3i3−i−iii−i3i3−i3i3−i−iii0000000000000000
χ8266-6-6-3006-600-33333−3333−33-3-33333−3333−3300000000−2i−2i2i2i00000000000000000000000000000000−2i2ii3−i3i3−i3ii−i−ii3−i3i3−i3ii−i−i0000000000000000
χ8366-6-6-3006-600-333−3333−3333-3-333−3333−3333000000002i2i−2i−2i000000000000000000000000000000002i−2ii3−i3i3−i3−i−iiii3−i3i3−i3−i−iii0000000000000000
χ8466-6-6-3006-600-333−3333−3333-3-333−3333−333300000000−2i−2i2i2i00000000000000000000000000000000−2i2i−i3i3−i3i3ii−i−i−i3i3−i3i3ii−i−i0000000000000000
χ8566-6-6-300-6600-33333−3333−3333-3-3−3333−3333000000002i2i−2i−2i00000000000000000000000000000000−2i2ii3−i3i3−i3−i−iii−i3i3−i3i3ii−i−i0000000000000000
χ8666-6-6-300-6600-33333−3333−3333-3-3−3333−333300000000−2i−2i2i2i000000000000000000000000000000002i−2i−i3i3−i3i3ii−i−ii3−i3i3−i3−i−iii0000000000000000
χ8766-6-6-300-6600-333−3333−333333-3-333−3333−33000000002i2i−2i−2i00000000000000000000000000000000−2i2i−i3i3−i3i3−i−iiii3−i3i3−i3ii−i−i0000000000000000
χ8866-6-6-300-6600-333−3333−333333-3-333−3333−3300000000−2i−2i2i2i000000000000000000000000000000002i−2ii3−i3i3−i3ii−i−i−i3i3−i3i3−i−iii0000000000000000
χ896-66-6-36-600003-33-3-33333−3333−3333−33−3333000000002i−2i2i−2i0000000000000000000000000000002i−2i00−i3i3i3−i3−ii−ii−i−iii−i3i3−i3i30000000000000000
χ906-66-6-36-600003-33-3-33333−3333−3333−33−333300000000−2i2i−2i2i000000000000000000000000000000−2i2i00i3−i3−i3i3i−ii−iii−i−ii3−i3i3−i30000000000000000
χ916-66-6-36-600003-33-3-333−3333−3333−333333−33000000002i−2i2i−2i0000000000000000000000000000002i−2i00i3−i3−i3i3−ii−ii−i−iiii3−i3i3−i30000000000000000
χ926-66-6-36-600003-33-3-333−3333−3333−333333−3300000000−2i2i−2i2i000000000000000000000000000000−2i2i00−i3i3i3−i3i−ii−iii−i−i−i3i3−i3i30000000000000000
χ936-66-6-3-6600003-3333-3-333−3333−33−333333−33000000002i−2i2i−2i000000000000000000000000000000−2i2i00i3−i3−i3i3−ii−iiii−i−i−i3i3−i3i30000000000000000
χ946-66-6-3-6600003-3333-3-333−3333−33−333333−3300000000−2i2i−2i2i0000000000000000000000000000002i−2i00−i3i3i3−i3i−ii−i−i−iiii3−i3i3−i30000000000000000
χ956-66-6-3-6600003-3333-3-3−3333−333333−33−3333000000002i−2i2i−2i000000000000000000000000000000−2i2i00−i3i3i3−i3−ii−iiii−i−ii3−i3i3−i30000000000000000
χ966-66-6-3-6600003-3333-3-3−3333−333333−33−333300000000−2i2i−2i2i0000000000000000000000000000002i−2i00i3−i3−i3i3i−ii−i−i−iii−i3i3−i3i30000000000000000
χ976-6-66-300006-633-333−33−3333−333333−33-3-333000000002-2-2200000000000000000000000000002-20000-1-111-111-1−333−33−3−330000000000000000
χ986-6-66-300006-633-333−33−3333−333333−33-3-33300000000-222-20000000000000000000000000000-22000011-1-11-1-113−3−33−333−30000000000000000
χ996-6-66-300006-633-3−333333−3333−33−3333-3-333000000002-2-2200000000000000000000000000002-20000-1-111-111-13−3−33−333−30000000000000000
χ1006-6-66-300006-633-3−333333−3333−33−3333-3-33300000000-222-20000000000000000000000000000-22000011-1-11-1-11−333−33−3−330000000000000000
χ1016-6-66-30000-6633-333−33−333333−33−333333-3-3000000002-2-220000000000000000000000000000-22000011-1-1-111-1−333−3−333−30000000000000000
χ1026-6-66-30000-6633-333−33−333333−33−333333-3-300000000-222-200000000000000000000000000002-20000-1-1111-1-113−3−333−3−330000000000000000
χ1036-6-66-30000-6633-3−333333−33−333333−3333-3-3000000002-2-220000000000000000000000000000-22000011-1-1-111-13−3−333−3−330000000000000000
χ1046-6-66-30000-6633-3−333333−33−333333−3333-3-300000000-222-200000000000000000000000000002-20000-1-1111-1-11−333−3−333−30000000000000000

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