Finite Group Databasebeta

← Group #13150833

Character table — Group #13150833

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222444666666661212121212121212121212121818181818183636363636363636363636363636361111222244466666666121212121212121212121212181818181818363636363636363636363636363636
order1222366641212336666663666121212121212121222444422466666612121212121222226666412126666666666661212121212121212224444224666666121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111-1-1-11-111-1-1-1-111-1-1-1-11111111111111111111111111111111-1-111-1-1-11-111-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111
χ511111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-11111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-11111-1-1
χ611111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-111
χ711111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1-11111-1-11111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1-11111-1-111
χ811111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-1
χ9222222222222-12-1-1-122-1-1-1-1-1-122-1-1-1-122000020000-1-1-1-1000000222222222222-12-1-1-122-1-1-1-1-1-122-1-1-1-122000020000-1-1-1-1000000
χ10222222222222-12-1-1-122-1-1-1-1-1-122-1-1-1-1-2-20000-200001111000000222222222222-12-1-1-122-1-1-1-1-1-122-1-1-1-1-2-20000-200001111000000
χ1122222222222-12-1222-1-1-1-1-1-122-1-1-1-1-1-100002200200000000-1-1-1-122222222222-12-1222-1-1-1-1-1-122-1-1-1-1-1-100002200200000000-1-1-1-1
χ1222222222222-12-1222-1-1-1-1-1-122-1-1-1-1-1-10000-2-200-200000000111122222222222-12-1222-1-1-1-1-1-122-1-1-1-1-1-10000-2-200-2000000001111
χ1322222222-2-2-22-12-1-1-122-1-1-1-111-2-21111220000-20000-1-11100000022222222-2-2-22-12-1-1-122-1-1-1-111-2-21111220000-20000-1-111000000
χ1422222222-2-2-22-12-1-1-122-1-1-1-111-2-21111-2-200002000011-1-100000022222222-2-2-22-12-1-1-122-1-1-1-111-2-21111-2-200002000011-1-1000000
χ1522222222-2-2-2-12-1222-1-1-1-1-1-1-2-211111100002200-200000000-1-11122222222-2-2-2-12-1222-1-1-1-1-1-1-2-211111100002200-200000000-1-111
χ1622222222-2-2-2-12-1222-1-1-1-1-1-1-2-21111110000-2-20020000000011-1-122222222-2-2-2-12-1222-1-1-1-1-1-1-2-21111110000-2-20020000000011-1-1
χ1722-2-222-2-20002222-2-2-2-222-2-200000000002i−2i000000000002i−2i000022-2-222-2-20002222-2-2-2-222-2-200000000002i−2i000000000002i−2i0000
χ1822-2-222-2-20002222-2-2-2-222-2-20000000000−2i2i00000000000−2i2i000022-2-222-2-20002222-2-2-2-222-2-20000000000−2i2i00000000000−2i2i0000
χ192-22-22-22-200022-2-2-22-222-2-22000000002-20000000002-2000000002-22-22-22-200022-2-2-22-222-2-22000000002-20000000002-200000000
χ202-22-22-22-200022-2-2-22-222-2-2200000000-22000000000-22000000002-22-22-22-200022-2-2-22-222-2-2200000000-22000000000-2200000000
χ212-22-22-22-20002-1-211-1-22-111-1−i3i300−i3−i3i3i32-2000000000-11−i3i30000002-22-22-22-20002-1-211-1-22-111-1−i3i300−i3−i3i3i32-2000000000-11−i3i3000000
χ222-22-22-22-20002-1-211-1-22-111-1−i3i300−i3−i3i3i3-220000000001-1i3−i30000002-22-22-22-20002-1-211-1-22-111-1−i3i300−i3−i3i3i3-220000000001-1i3−i3000000
χ232-22-22-22-20002-1-211-1-22-111-1i3−i300i3i3−i3−i32-2000000000-11i3−i30000002-22-22-22-20002-1-211-1-22-111-1i3−i300i3i3−i3−i32-2000000000-11i3−i3000000
χ242-22-22-22-20002-1-211-1-22-111-1i3−i300i3i3−i3−i3-220000000001-1−i3i30000002-22-22-22-20002-1-211-1-22-111-1i3−i300i3i3−i3−i3-220000000001-1−i3i3000000
χ252-2-222-2-2200022-2-22-22-22-22-20000000000002-2000000000002-2002-2-222-2-2200022-2-22-22-22-22-20000000000002-2000000000002-200
χ262-2-222-2-2200022-2-22-22-22-22-2000000000000-2200000000000-22002-2-222-2-2200022-2-22-22-22-22-2000000000000-2200000000000-2200
χ272-2-222-2-22000-121-22-2-11-11-11003−33−33−300002-200000000000-113−32-2-222-2-22000-121-22-2-11-11-11003−33−33−300002-200000000000-113−3
χ282-2-222-2-22000-121-22-2-11-11-11003−33−33−30000-22000000000001-1−332-2-222-2-22000-121-22-2-11-11-11003−33−33−30000-22000000000001-1−33
χ292-2-222-2-22000-121-22-2-11-11-1100−33−33−3300002-200000000000-11−332-2-222-2-22000-121-22-2-11-11-1100−33−33−3300002-200000000000-11−33
χ302-2-222-2-22000-121-22-2-11-11-1100−33−33−330000-22000000000001-13−32-2-222-2-22000-121-22-2-11-11-1100−33−33−330000-22000000000001-13−3
χ3144444444444-2-2-2-2-2-2-2-21111-2-2-2-2111100000000000000000000044444444444-2-2-2-2-2-2-2-21111-2-2-2-21111000000000000000000000
χ3244444444-4-4-4-2-2-2-2-2-2-2-211112222-1-1-1-100000000000000000000044444444-4-4-4-2-2-2-2-2-2-2-211112222-1-1-1-1000000000000000000000
χ3344-4-444-4-40004-24-222-4-4-2-2220000000000000000000000000000044-4-444-4-40004-24-222-4-4-2-22200000000000000000000000000000
χ3444-4-444-4-4000-24-24-4-422-2-2220000000000000000000000000000044-4-444-4-4000-24-24-4-422-2-22200000000000000000000000000000
χ3544-4-444-4-4000-2-2-2-2222211-1-100003i−3i−3i3i00000000000000000000044-4-444-4-4000-2-2-2-2222211-1-100003i−3i−3i3i000000000000000000000
χ3644-4-444-4-4000-2-2-2-2222211-1-10000−3i3i3i−3i00000000000000000000044-4-444-4-4000-2-2-2-2222211-1-10000−3i3i3i−3i000000000000000000000
χ374-44-44-44-4000-242-4-442-2-222-2000000000000000000000000000004-44-44-44-4000-242-4-442-2-222-200000000000000000000000000000
χ384-44-44-44-4000-2-2222-22-21-1-11−2i32i300i3i3−i3−i30000000000000000000004-44-44-44-4000-2-2222-22-21-1-11−2i32i300i3i3−i3−i3000000000000000000000
χ394-44-44-44-4000-2-2222-22-21-1-112i3−2i300−i3−i3i3i30000000000000000000004-44-44-44-4000-2-2222-22-21-1-112i3−2i300−i3−i3i3i3000000000000000000000
χ404-4-444-4-440004-2-42-224-4-22-22000000000000000000000000000004-4-444-4-440004-2-42-224-4-22-2200000000000000000000000000000
χ414-4-444-4-44000-2-222-22-221-11-10023−23−33−330000000000000000000004-4-444-4-44000-2-222-22-221-11-10023−23−33−33000000000000000000000
χ424-4-444-4-44000-2-222-22-221-11-100−23233−33−30000000000000000000004-4-444-4-44000-2-222-22-221-11-100−23233−33−3000000000000000000000
χ436666-3-3-3-36-3-300000000000000000000002200020-1-10000-1-100006666-3-3-3-36-3-300000000000000000000002200020-1-10000-1-10000
χ446666-3-3-3-36-3-30000000000000000000000-2-2000-201100001100006666-3-3-3-36-3-30000000000000000000000-2-2000-20110000110000
χ456666-3-3-3-3-633000000000000000000000022000-20110000-1-100006666-3-3-3-3-633000000000000000000000022000-20110000-1-10000
χ466666-3-3-3-3-6330000000000000000000000-2-200020-1-100001100006666-3-3-3-3-6330000000000000000000000-2-200020-1-10000110000
χ4766-6-6-3-333033−3300000000000000000000002i−2i00000−i3i30000−ii000066-6-6-3-333033−3300000000000000000000002i−2i00000−i3i30000−ii0000
χ4866-6-6-3-333033−330000000000000000000000−2i2i00000i3−i30000i−i000066-6-6-3-333033−330000000000000000000000−2i2i00000i3−i30000i−i0000
χ4966-6-6-3-3330−333300000000000000000000002i−2i00000i3−i30000−ii000066-6-6-3-3330−333300000000000000000000002i−2i00000i3−i30000−ii0000
χ5066-6-6-3-3330−33330000000000000000000000−2i2i00000−i3i30000i−i000066-6-6-3-3330−33330000000000000000000000−2i2i00000−i3i30000i−i0000
χ5112-1212-12-66-660000000000000000000000000000000000000000000012-1212-12-66-6600000000000000000000000000000000000000000000
χ5212-12-1212-666-60000000000000000000000000000000000000000000012-12-1212-666-600000000000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ54111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1111111
χ551111111111111111111111111111111-1-111-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-11111-1-11111
χ561111111111111111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111111111-1-1-1-1
χ5711111111-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-111-1-1-1-111
χ5811111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-1-1-1-1-1111111-1-1
χ5911111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-11-11111-1-1-1-111-1-1
χ6011111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-111-1-111-1-111
χ61222222222222-12-1-1-122-1-1-1-1-1-122-1-1-1-122000020000-1-1-1-1000000-2-2-2-2-2-2-2-2-2-2-2-21-2111-2-2111111-2-21111-2-20000-200001111000000
χ62222222222222-12-1-1-122-1-1-1-1-1-122-1-1-1-1-2-20000-200001111000000-2-2-2-2-2-2-2-2-2-2-2-21-2111-2-2111111-2-2111122000020000-1-1-1-1000000
χ6322222222222-12-1222-1-1-1-1-1-122-1-1-1-1-1-100002200200000000-1-1-1-1-2-2-2-2-2-2-2-2-2-2-21-21-2-2-2111111-2-21111110000-2-200-2000000001111
χ6422222222222-12-1222-1-1-1-1-1-122-1-1-1-1-1-10000-2-200-2000000001111-2-2-2-2-2-2-2-2-2-2-21-21-2-2-2111111-2-211111100002200200000000-1-1-1-1
χ6522222222-2-2-22-12-1-1-122-1-1-1-111-2-21111220000-20000-1-111000000-2-2-2-2-2-2-2-2222-21-2111-2-21111-1-122-1-1-1-1-2-200002000011-1-1000000
χ6622222222-2-2-22-12-1-1-122-1-1-1-111-2-21111-2-200002000011-1-1000000-2-2-2-2-2-2-2-2222-21-2111-2-21111-1-122-1-1-1-1220000-20000-1-111000000
χ6722222222-2-2-2-12-1222-1-1-1-1-1-1-2-211111100002200-200000000-1-111-2-2-2-2-2-2-2-22221-21-2-2-211111122-1-1-1-1-1-10000-2-20020000000011-1-1
χ6822222222-2-2-2-12-1222-1-1-1-1-1-1-2-21111110000-2-20020000000011-1-1-2-2-2-2-2-2-2-22221-21-2-2-211111122-1-1-1-1-1-100002200-200000000-1-111
χ6922-2-222-2-20002222-2-2-2-222-2-200000000002i−2i000000000002i−2i0000-2-222-2-222000-2-2-2-22222-2-2220000000000−2i2i00000000000−2i2i0000
χ7022-2-222-2-20002222-2-2-2-222-2-20000000000−2i2i00000000000−2i2i0000-2-222-2-222000-2-2-2-22222-2-22200000000002i−2i000000000002i−2i0000
χ712-22-22-22-200022-2-2-22-222-2-22000000002-20000000002-200000000-22-22-22-22000-2-2222-22-2-222-200000000-22000000000-2200000000
χ722-22-22-22-200022-2-2-22-222-2-2200000000-22000000000-2200000000-22-22-22-22000-2-2222-22-2-222-2000000002-20000000002-200000000
χ732-22-22-22-20002-1-211-1-22-111-1−i3i300−i3−i3i3i32-2000000000-11−i3i3000000-22-22-22-22000-212-1-112-21-1-11i3−i300i3i3−i3−i3-220000000001-1i3−i3000000
χ742-22-22-22-20002-1-211-1-22-111-1−i3i300−i3−i3i3i3-220000000001-1i3−i3000000-22-22-22-22000-212-1-112-21-1-11i3−i300i3i3−i3−i32-2000000000-11−i3i3000000
χ752-22-22-22-20002-1-211-1-22-111-1i3−i300i3i3−i3−i32-2000000000-11i3−i3000000-22-22-22-22000-212-1-112-21-1-11−i3i300−i3−i3i3i3-220000000001-1−i3i3000000
χ762-22-22-22-20002-1-211-1-22-111-1i3−i300i3i3−i3−i3-220000000001-1−i3i3000000-22-22-22-22000-212-1-112-21-1-11−i3i300−i3−i3i3i32-2000000000-11i3−i3000000
χ772-2-222-2-2200022-2-22-22-22-22-20000000000002-2000000000002-200-222-2-222-2000-2-222-22-22-22-22000000000000-2200000000000-2200
χ782-2-222-2-2200022-2-22-22-22-22-2000000000000-2200000000000-2200-222-2-222-2000-2-222-22-22-22-220000000000002-2000000000002-200
χ792-2-222-2-22000-121-22-2-11-11-11003−33−33−300002-200000000000-113−3-222-2-222-20001-2-12-221-11-11-100−33−33−330000-22000000000001-1−33
χ802-2-222-2-22000-121-22-2-11-11-11003−33−33−30000-22000000000001-1−33-222-2-222-20001-2-12-221-11-11-100−33−33−3300002-200000000000-113−3
χ812-2-222-2-22000-121-22-2-11-11-1100−33−33−3300002-200000000000-11−33-222-2-222-20001-2-12-221-11-11-1003−33−33−30000-22000000000001-13−3
χ822-2-222-2-22000-121-22-2-11-11-1100−33−33−330000-22000000000001-13−3-222-2-222-20001-2-12-221-11-11-1003−33−33−300002-200000000000-11−33
χ8344444444444-2-2-2-2-2-2-2-21111-2-2-2-21111000000000000000000000-4-4-4-4-4-4-4-4-4-4-422222222-1-1-1-12222-1-1-1-1000000000000000000000
χ8444444444-4-4-4-2-2-2-2-2-2-2-211112222-1-1-1-1000000000000000000000-4-4-4-4-4-4-4-444422222222-1-1-1-1-2-2-2-21111000000000000000000000
χ8544-4-444-4-40004-24-222-4-4-2-22200000000000000000000000000000-4-444-4-444000-42-42-2-24422-2-200000000000000000000000000000
χ8644-4-444-4-4000-24-24-4-422-2-22200000000000000000000000000000-4-444-4-4440002-42-444-2-222-2-200000000000000000000000000000
χ8744-4-444-4-4000-2-2-2-2222211-1-100003i−3i−3i3i000000000000000000000-4-444-4-4440002222-2-2-2-2-1-1110000−3i3i3i−3i000000000000000000000
χ8844-4-444-4-4000-2-2-2-2222211-1-10000−3i3i3i−3i000000000000000000000-4-444-4-4440002222-2-2-2-2-1-11100003i−3i−3i3i000000000000000000000
χ894-44-44-44-4000-242-4-442-2-222-200000000000000000000000000000-44-44-44-440002-4-244-4-222-2-2200000000000000000000000000000
χ904-44-44-44-4000-2-2222-22-21-1-11−2i32i300i3i3−i3−i3000000000000000000000-44-44-44-4400022-2-2-22-22-111-12i3−2i300−i3−i3i3i3000000000000000000000
χ914-44-44-44-4000-2-2222-22-21-1-112i3−2i300−i3−i3i3i3000000000000000000000-44-44-44-4400022-2-2-22-22-111-1−2i32i300i3i3−i3−i3000000000000000000000
χ924-4-444-4-440004-2-42-224-4-22-2200000000000000000000000000000-444-4-444-4000-424-22-2-442-22-200000000000000000000000000000
χ934-4-444-4-44000-2-222-22-221-11-10023−23−33−33000000000000000000000-444-4-444-400022-2-22-22-2-11-1100−23233−33−3000000000000000000000
χ944-4-444-4-44000-2-222-22-221-11-100−23233−33−3000000000000000000000-444-4-444-400022-2-22-22-2-11-110023−23−33−33000000000000000000000
χ956666-3-3-3-36-3-300000000000000000000002200020-1-10000-1-10000-6-6-6-63333-6330000000000000000000000-2-2000-20110000110000
χ966666-3-3-3-36-3-30000000000000000000000-2-2000-20110000110000-6-6-6-63333-63300000000000000000000002200020-1-10000-1-10000
χ976666-3-3-3-3-633000000000000000000000022000-20110000-1-10000-6-6-6-633336-3-30000000000000000000000-2-200020-1-10000110000
χ986666-3-3-3-3-6330000000000000000000000-2-200020-1-10000110000-6-6-6-633336-3-3000000000000000000000022000-20110000-1-10000
χ9966-6-6-3-333033−3300000000000000000000002i−2i00000−i3i30000−ii0000-6-66633-3-30−33330000000000000000000000−2i2i00000i3−i30000i−i0000
χ10066-6-6-3-333033−330000000000000000000000−2i2i00000i3−i30000i−i0000-6-66633-3-30−333300000000000000000000002i−2i00000−i3i30000−ii0000
χ10166-6-6-3-3330−333300000000000000000000002i−2i00000i3−i30000−ii0000-6-66633-3-3033−330000000000000000000000−2i2i00000−i3i30000i−i0000
χ10266-6-6-3-3330−33330000000000000000000000−2i2i00000−i3i30000i−i0000-6-66633-3-3033−3300000000000000000000002i−2i00000i3−i30000−ii0000
χ10312-1212-12-66-6600000000000000000000000000000000000000000000-1212-12126-66-600000000000000000000000000000000000000000000
χ10412-12-1212-666-600000000000000000000000000000000000000000000-121212-126-6-6600000000000000000000000000000000000000000000

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