Finite Group Databasebeta

← Group #13150732

Character table — Group #13150732

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order122222344666666641212121233666666121212123666666666661212121212121212121212121212224444444444444466121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-11-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-11-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-11-1111111-1-1-1-111-1-1-1-11-11-1
χ61111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11-11-1111-1-1-1-1111111-1-1-1-1-11-11
χ71111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-11-1-11111-1-1-1-1-1-11111-11-11
χ81111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1111-1-1-1-1-1-1-11111-1-111111-11-1
χ91111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-111-1-11111-1-11-11-1-111111-1-111-1-1-1-1-1-1111-1-11
χ101111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-11-11111-111-1-111-1-111-1-1-1-111-111-1
χ111111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-1-1-11111111-1-11-1-11-1-1-111-1-111-1-11111-1-1-111-1
χ121111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111-1-11-11-1-1-1-111-1-1111111-1-11-1-11
χ131111-1-11-1-11-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-1-1-1111111-1-111-1-11-111-11-1-11111-1-1-1-111-1-111-1-111-1-1
χ141111-1-11-1-11-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111
χ151111-1-11-1-11-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-111
χ161111-1-11-1-11-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-1-1-11111-1-111-1-111-11111-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ172222222222222222222222-12-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000020002000-1-100000000-1-1-1-1-1-10000
χ182222222222222222222222-12-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000-2000-200011000000001111110000
χ19222222222222222222222-12-1222-1-12222-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000002200220000000000000000-1-1-1-1
χ20222222222222222222222-12-1222-1-12222-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-200-2-200000000000000001111
χ212222222-2-22222222-2-2-2-2-22-12-1-1-1221111-122-1-1-1-1-1-1-1-1-111-2-2-2-21111111122220000-2000-2000-1-100000000-1-111110000
χ222222222-2-22222222-2-2-2-2-22-12-1-1-1221111-122-1-1-1-1-1-1-1-1-111-2-2-2-211111111-2-2-2-2000020002000110000000011-1-1-1-10000
χ232222222-2-22222222-2-2-2-2-2-12-1222-1-1-2-2-2-2-1-1-122-1-1-1-1-1-1-1-2-211111111111100000000002-2002-20000000000000000-11-11
χ242222222-2-22222222-2-2-2-2-2-12-1222-1-1-2-2-2-2-1-1-122-1-1-1-1-1-1-1-2-21111111111110000000000-2200-2200000000000000001-11-1
χ252222-2-22222-2-2-2-222-222-2-22-12-1-1-122-1-1-1-1-1-2-211-1-11111-11122-2-2-1-1-1-1111122-2-20000-20002000-1-1000000001111-1-10000
χ262222-2-22222-2-2-2-222-222-2-22-12-1-1-122-1-1-1-1-1-2-211-1-11111-11122-2-2-1-1-1-11111-2-22200002000-20001100000000-1-1-1-1110000
χ272222-2-22222-2-2-2-222-222-2-2-12-1222-1-12222-111-2-2-1-11111-1-2-2-1-111-1-1-1-1111100000000002-200-220000000000000000-111-1
χ282222-2-22222-2-2-2-222-222-2-2-12-1222-1-12222-111-2-2-1-11111-1-2-2-1-111-1-1-1-111110000000000-22002-200000000000000001-1-11
χ292222-2-22-2-22-2-2-2-2222-2-2222-12-1-1-1221111-1-2-211-1-11111-1-1-1-2-2221111-1-1-1-122-2-200002000-2000-1-10000000011-1-1110000
χ302222-2-22-2-22-2-2-2-2222-2-2222-12-1-1-1221111-1-2-211-1-11111-1-1-1-2-2221111-1-1-1-1-2-2220000-200020001100000000-1-111-1-10000
χ312222-2-22-2-22-2-2-2-2222-2-222-12-1222-1-1-2-2-2-2-111-2-2-1-11111-12211-1-11111-1-1-1-100000000002200-2-20000000000000000-1-111
χ322222-2-22-2-22-2-2-2-2222-2-222-12-1222-1-1-2-2-2-2-111-2-2-1-11111-12211-1-11111-1-1-1-10000000000-2-20022000000000000000011-1-1
χ3322-2-22-2200222-2-2-2-2000002222-2-2-2-2000022-22-22-222-2-2-2000000000000002-22-20000000000002-2000000002-200000000
χ3422-2-22-2200222-2-2-2-2000002222-2-2-2-2000022-22-22-222-2-2-200000000000000-22-22000000000000-2200000000-2200000000
χ3522-2-22-2200222-2-2-2-2000002-12-111-2-233−3−3-12-2-11-11-1-11113−3000033−3−333−3−32-22-2000000000000-1100000000-113−33−30000
χ3622-2-22-2200222-2-2-2-2000002-12-111-2-233−3−3-12-2-11-11-1-11113−3000033−3−333−3−3-22-220000000000001-1000000001-1−33−330000
χ3722-2-22-2200222-2-2-2-2000002-12-111-2-2−3−333-12-2-11-11-1-1111−330000−3−333−3−3332-22-2000000000000-1100000000-11−33−330000
χ3822-2-22-2200222-2-2-2-2000002-12-111-2-2−3−333-12-2-11-11-1-1111−330000−3−333−3−333-22-220000000000001-1000000001-13−33−30000
χ3922-2-2-222002-2-222-2-2000002222-2-2-2-200002-22-222-2-2-222-2000000000000002-2-220000000000002-200000000-2200000000
χ4022-2-2-222002-2-222-2-2000002222-2-2-2-200002-22-222-2-2-222-200000000000000-222-2000000000000-22000000002-200000000
χ4122-2-2-222002-2-222-2-2000002-12-111-2-233−3−3-1-221-1-1111-1-11−33000033−3−3−3−3332-2-22000000000000-11000000001-1−333−30000
χ4222-2-2-222002-2-222-2-2000002-12-111-2-233−3−3-1-221-1-1111-1-11−33000033−3−3−3−333-222-20000000000001-100000000-113−3−330000
χ4322-2-2-222002-2-222-2-2000002-12-111-2-2−3−333-1-221-1-1111-1-113−30000−3−33333−3−32-2-22000000000000-11000000001-13−3−330000
χ4422-2-2-222002-2-222-2-2000002-12-111-2-2−3−333-1-221-1-1111-1-113−30000−3−33333−3−3-222-20000000000001-100000000-11−333−30000
χ452-22-20022i−2i-200002-202i−2i0022-2-22-22-22i−2i2i−2i20000-220000-2002i−2i002i−2i2i−2i000000002-22i−2i00000000002-2002i−2i000000000000
χ462-22-20022i−2i-200002-202i−2i0022-2-22-22-22i−2i2i−2i20000-220000-2002i−2i002i−2i2i−2i00000000-22−2i2i0000000000-2200−2i2i000000000000
χ472-22-2002−2i2i-200002-20−2i2i0022-2-22-22-2−2i2i−2i2i20000-220000-200−2i2i00−2i2i−2i2i000000002-2−2i2i00000000002-200−2i2i000000000000
χ482-22-2002−2i2i-200002-20−2i2i0022-2-22-22-2−2i2i−2i2i20000-220000-200−2i2i00−2i2i−2i2i00000000-222i−2i0000000000-22002i−2i000000000000
χ49444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-211111111000000000000000000000000000000000000
χ504444444-4-44444444-4-4-4-4-4-2-2-2-2-2-2-2-222221-2-2-2-21111111222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ514444-4-44444-4-4-4-444-444-4-4-2-2-2-2-2-2-2-2-2-2-2-21222211-1-1-1-1122-2-2221111-1-1-1-1000000000000000000000000000000000000
χ524444-4-44-4-44-4-4-4-4444-4-444-2-2-2-2-2-2-2-222221222211-1-1-1-11-2-222-2-2-1-1-1-11111000000000000000000000000000000000000
χ5344-4-44-4400444-4-4-4-400000-24-24-4-4220000-2-224-4-22-2-222200000000000000000000000000000000000000000000000000
χ5444-4-44-4400444-4-4-4-400000-2-2-2-222222323−23−231-22-221-111-1-1-123−230000−3−333−3−333000000000000000000000000000000000000
χ5544-4-44-4400444-4-4-4-400000-2-2-2-22222−23−2323231-22-221-111-1-1-1−2323000033−3−333−3−3000000000000000000000000000000000000
χ5644-4-4-444004-4-444-4-400000-24-24-4-4220000-22-2-44-2222-2-2200000000000000000000000000000000000000000000000000
χ5744-4-4-444004-4-444-4-400000-2-2-2-222222323−23−2312-22-21-1-1-111-1−23230000−3−33333−3−3000000000000000000000000000000000000
χ5844-4-4-444004-4-444-4-400000-2-2-2-22222−23−23232312-22-21-1-1-111-123−23000033−3−3−3−333000000000000000000000000000000000000
χ594-44-40044i−4i-400004-404i−4i004-2-42-224-4−2i2i−2i2i-200002-200002004i−4i00−2i2i−2i2i0000000000000000000000000000000000000000
χ604-44-40044i−4i-400004-404i−4i00-242-44-4-224i−4i4i−4i-200002-20000200−2i2i00−2i2i−2i2i0000000000000000000000000000000000000000
χ614-44-40044i−4i-400004-404i−4i00-2-222-22-22−2i2i−2i2i10000-113-33-3-100−2i2i00i−ii−i3i−3i3i−3i000000000000000000000000000000000000
χ624-44-40044i−4i-400004-404i−4i00-2-222-22-22−2i2i−2i2i10000-11-33-33-100−2i2i00i−ii−i−3i3i−3i3i000000000000000000000000000000000000
χ634-44-4004−4i4i-400004-40−4i4i004-2-42-224-42i−2i2i−2i-200002-20000200−4i4i002i−2i2i−2i0000000000000000000000000000000000000000
χ644-44-4004−4i4i-400004-40−4i4i00-242-44-4-22−4i4i−4i4i-200002-200002002i−2i002i−2i2i−2i0000000000000000000000000000000000000000
χ654-44-4004−4i4i-400004-40−4i4i00-2-222-22-222i−2i2i−2i10000-113-33-3-1002i−2i00−ii−ii−3i3i−3i3i000000000000000000000000000000000000
χ664-44-4004−4i4i-400004-40−4i4i00-2-222-22-222i−2i2i−2i10000-11-33-33-1002i−2i00−ii−ii3i−3i3i−3i000000000000000000000000000000000000
χ674-4-4400400-40000-440000044-4-4-44-44000040000-4-40000400000000000000000000000000000000000000000000000000
χ684-4-4400400-40000-44000004-2-422-2-44−2i32i32i3−2i3-20000220000-2000000−2i32i32i3−2i30000000000000000000000000000000000000000
χ694-4-4400400-40000-44000004-2-422-2-442i3−2i3−2i32i3-20000220000-20000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ704-4-4400400-40000-4400000-242-4-442-20000-20000220000-20000−2i32i30000−2i32i32i3−2i3000000000000000000000000000000000000
χ714-4-4400400-40000-4400000-242-4-442-20000-20000220000-200002i3−2i300002i3−2i3−2i32i3000000000000000000000000000000000000
χ724-4-4400400-40000-4400000-2-2222-22-2−2i32i32i3−2i310000-1-13-3-33100002i3−2i3i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000
χ734-4-4400400-40000-4400000-2-2222-22-2−2i32i32i3−2i310000-1-1-333-310000−2i32i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000
χ744-4-4400400-40000-4400000-2-2222-22-22i3−2i3−2i32i310000-1-13-3-3310000−2i32i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000
χ754-4-4400400-40000-4400000-2-2222-22-22i3−2i3−2i32i310000-1-1-333-3100002i3−2i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000
χ76666666-366-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000000022220200020000-1-1-1-1-1-1-1-10000000000
χ77666666-366-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000000000-2-2-2-20-2000-20000111111110000000000
χ78666666-3-6-6-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000000022-2-202000-20000-1-1-1-111110000000000
χ79666666-3-6-6-3-3-3-3-3-3-3-63333000000000000000000000000000000000000000000-2-2220-2000200001111-1-1-1-10000000000
χ806666-6-6-366-33333-3-3-6-3-33300000000000000000000000000000000000000000022220-2000-20000-1-111-1-1110000000000
χ816666-6-6-366-33333-3-3-6-3-333000000000000000000000000000000000000000000-2-2-2-2020002000011-1-111-1-10000000000
χ826666-6-6-3-6-6-33333-3-3633-3-300000000000000000000000000000000000000000022-2-20-200020000-1-11111-1-10000000000
χ836666-6-6-3-6-6-33333-3-3633-3-3000000000000000000000000000000000000000000-2-22202000-2000011-1-1-1-1110000000000
χ846-66-600-36i−6i3−3i33i3−3i33i3-330−3i3i33−330000000000000000000000000000000000000000002-22i−2i0000000000-11−i3i3−ii3−30000000000
χ856-66-600-36i−6i3−3i33i3−3i33i3-330−3i3i33−33000000000000000000000000000000000000000000-22−2i2i00000000001-1i3−i3i−i−330000000000
χ866-66-600-36i−6i33i3−3i33i3−3i3-330−3i3i−33330000000000000000000000000000000000000000002-22i−2i0000000000-11i3−i3−ii−330000000000
χ876-66-600-36i−6i33i3−3i33i3−3i3-330−3i3i−3333000000000000000000000000000000000000000000-22−2i2i00000000001-1−i3i3i−i3−30000000000
χ886-66-600-3−6i6i3−3i33i3−3i33i3-3303i−3i−33330000000000000000000000000000000000000000002-2−2i2i0000000000-11−i3i3i−i−330000000000
χ896-66-600-3−6i6i3−3i33i3−3i33i3-3303i−3i−3333000000000000000000000000000000000000000000-222i−2i00000000001-1i3−i3−ii3−30000000000
χ906-66-600-3−6i6i33i3−3i33i3−3i3-3303i−3i33−330000000000000000000000000000000000000000002-2−2i2i0000000000-11i3−i3i−i3−30000000000
χ916-66-600-3−6i6i33i3−3i33i3−3i3-3303i−3i33−33000000000000000000000000000000000000000000-222i−2i00000000001-1−i3i3−ii−330000000000
χ921212-12-1212-12-600-6-6-666660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ931212-12-12-1212-600-666-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-121200-6006−6i36i36i3−6i36-60000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-121200-60066i3−6i3−6i36i36-60000000000000000000000000000000000000000000000000000000000000000000000000000000

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