Finite Group Databasebeta

← Group #13150888

Character table — Group #13150888

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order122222344666666641212121233666666121212123666666666661212121212121212121212121212222244442224444466666612121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-11-1-1-1-11-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1111111-1-1-1-111-1-1-1-11-11-1
χ61111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1111-1-111111-1-1-1-1-1-1-1-11111-11-11
χ71111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11-11-1-1-1-111111111-1-1-1-1-11-11
χ81111111-1-11111111-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11111-1-1-1-1-1-1-11111-1-111111-11-1
χ91111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-11-1-11-1-1111-1-11111-1-1-1-1-1-1111-1-11
χ101111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11-111-1-1-1-111-1-11111-1-1-111-1
χ111111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11-11-1111-1-1-11111-1-111-1-1-1-111-111-1
χ121111-1-11111-1-1-1-111-111-1-11111111111111-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11-11-1-111-1-1-1-1111111-1-11-1-11
χ131111-1-11-1-11-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1-1111-11-1-111-1-111-1-111-1-111-1-111-1-1
χ141111-1-11-1-11-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111
χ151111-1-11-1-11-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-11111-1-11111-1-11-1-11-1-111-1-1111111-1-1-1-111-1-1-1-111
χ161111-1-11-1-11-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-11111111-11-1-1-1-1-111-1-111-1-111-1-11111-1-1
χ172222222222222222222222-1-1-1222-12222-122-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000022000220000000000000000-1-1-1-1
χ182222222222222222222222-1-1-1222-12222-122-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000-2-2000-2-200000000000000001111
χ19222222222222222222222-1222-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-100220022000220000000-1-10000-1-1-1-1-1-10000
χ20222222222222222222222-1222-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-100-2-200-2-2000-2-200000001100001111110000
χ212222222-2-22222222-2-2-2-2-22-1-1-1222-1-2-2-2-2-122-1-1-1-1-1-1-1-1-11111-2-2111111110000000002-20002-20000000000000000-11-11
χ222222222-2-22222222-2-2-2-2-22-1-1-1222-1-2-2-2-2-122-1-1-1-1-1-1-1-1-11111-2-211111111000000000-22000-2200000000000000001-11-1
χ232222222-2-22222222-2-2-2-2-2-1222-1-1-121111-1-1-122-1-1-1-1-1-1-1-2-2-2-2111111111100220022000-2-20000000-1-10000-1-111110000
χ242222222-2-22222222-2-2-2-2-2-1222-1-1-121111-1-1-122-1-1-1-1-1-1-1-2-2-2-2111111111100-2-200-2-200022000000011000011-1-1-1-10000
χ252222-2-22222-2-2-2-222-222-2-22-1-1-1222-12222-1-2-211-1-11111-1-1-111-2-2-1-1-1-111110000000002-2000-220000000000000000-111-1
χ262222-2-22222-2-2-2-222-222-2-22-1-1-1222-12222-1-2-211-1-11111-1-1-111-2-2-1-1-1-11111000000000-220002-200000000000000001-1-11
χ272222-2-22222-2-2-2-222-222-2-2-1222-1-1-12-1-1-1-1-111-2-2-1-11111-122-2-211-1-1-1-11111002200-2-2000-220000000-1-100001111-1-10000
χ282222-2-22222-2-2-2-222-222-2-2-1222-1-1-12-1-1-1-1-111-2-2-1-11111-122-2-211-1-1-1-1111100-2-200220002-20000000110000-1-1-1-1110000
χ292222-2-22-2-22-2-2-2-2222-2-2222-1-1-1222-1-2-2-2-2-1-2-211-1-11111-111-1-1221111-1-1-1-100000000022000-2-20000000000000000-1-111
χ302222-2-22-2-22-2-2-2-2222-2-2222-1-1-1222-1-2-2-2-2-1-2-211-1-11111-111-1-1221111-1-1-1-1000000000-2-200022000000000000000011-1-1
χ312222-2-22-2-22-2-2-2-2222-2-222-1222-1-1-121111-111-2-2-1-11111-1-2-222-1-11111-1-1-1-1002200-2-20002-20000000-1-1000011-1-1110000
χ322222-2-22-2-22-2-2-2-2222-2-222-1222-1-1-121111-111-2-2-1-11111-1-2-222-1-11111-1-1-1-100-2-20022000-220000000110000-1-111-1-10000
χ3322-2-20022i−2i20000-2-202i−2i00222-22-2-2-22i2i−2i−2i200002-20000-22i−2i00002i2i−2i−2i00002-2002i−2i00000000002-200002i−2i000000000000
χ3422-2-20022i−2i20000-2-202i−2i00222-22-2-2-22i2i−2i−2i200002-20000-22i−2i00002i2i−2i−2i0000-2200−2i2i0000000000-220000−2i2i000000000000
χ3522-2-2002−2i2i20000-2-20−2i2i00222-22-2-2-2−2i−2i2i2i200002-20000-2−2i2i0000−2i−2i2i2i00002-200−2i2i00000000002-20000−2i2i000000000000
χ3622-2-2002−2i2i20000-2-20−2i2i00222-22-2-2-2−2i−2i2i2i200002-20000-2−2i2i0000−2i−2i2i2i0000-22002i−2i0000000000-2200002i−2i000000000000
χ372-2-222-2200-222-2-2-220000022-2-2-22-22000022-22-2-2222-2-2-200000000000000002-2002-20000000000002-200002-200000000
χ382-2-222-2200-222-2-2-220000022-2-2-22-22000022-22-2-2222-2-2-20000000000000000-2200-22000000000000-220000-2200000000
χ392-2-222-2200-222-2-2-2200000-12-2-21-1123−33−3-1-112-21-1-1-111100003−33−33−333−3−3002-2002-2000000000000-110000-113−33−30000
χ402-2-222-2200-222-2-2-2200000-12-2-21-1123−33−3-1-112-21-1-1-111100003−33−33−333−3−300-2200-220000000000001-100001-1−33−330000
χ412-2-222-2200-222-2-2-2200000-12-2-21-112−33−33-1-112-21-1-1-11110000−33−33−33−3−333002-2002-2000000000000-110000-11−33−330000
χ422-2-222-2200-222-2-2-2200000-12-2-21-112−33−33-1-112-21-1-1-11110000−33−33−33−3−33300-2200-220000000000001-100001-13−33−30000
χ432-2-22-22200-2-2-222-220000022-2-2-22-2200002-22-22-22-2-222-200000000000000002-200-220000000000002-20000-2200000000
χ442-2-22-22200-2-2-222-220000022-2-2-22-2200002-22-22-22-2-222-20000000000000000-22002-2000000000000-2200002-200000000
χ452-2-22-22200-2-2-222-2200000-12-2-21-1123−33−3-11-1-221-111-1-110000−333−33−3−3−333002-200-22000000000000-1100001-1−333−30000
χ462-2-22-22200-2-2-222-2200000-12-2-21-1123−33−3-11-1-221-111-1-110000−333−33−3−3−33300-22002-20000000000001-10000-113−3−330000
χ472-2-22-22200-2-2-222-2200000-12-2-21-112−33−33-11-1-221-111-1-1100003−3−33−3333−3−3002-200-22000000000000-1100001-13−3−330000
χ482-2-22-22200-2-2-222-2200000-12-2-21-112−33−33-11-1-221-111-1-1100003−3−33−3333−3−300-22002-20000000000001-10000-11−333−30000
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
χ514444-4-44444-4-4-4-444-444-4-4-2-2-2-2-2-2-2-2-2-2-2-21222211-1-1-1-11-2-222221111-1-1-1-1000000000000000000000000000000000000
χ524444-4-44-4-44-4-4-4-4444-4-444-2-2-2-2-2-2-2-222221222211-1-1-1-1122-2-2-2-2-1-1-1-11111000000000000000000000000000000000000
χ5344-4-40044i−4i40000-4-404i−4i004-2-224-4-424i4i−4i−4i-20000-2200002−2i2i0000−2i−2i2i2i0000000000000000000000000000000000000000
χ5444-4-40044i−4i40000-4-404i−4i00-244-4-222-4−2i−2i2i2i-20000-22000024i−4i0000−2i−2i2i2i0000000000000000000000000000000000000000
χ5544-4-40044i−4i40000-4-404i−4i00-2-2-22-2222−2i−2i2i2i100001-13-33-3-1−2i2i0000ii−i−i3i−3i3i−3i000000000000000000000000000000000000
χ5644-4-40044i−4i40000-4-404i−4i00-2-2-22-2222−2i−2i2i2i100001-1-33-33-1−2i2i0000ii−i−i−3i3i−3i3i000000000000000000000000000000000000
χ5744-4-4004−4i4i40000-4-40−4i4i004-2-224-4-42−4i−4i4i4i-20000-22000022i−2i00002i2i−2i−2i0000000000000000000000000000000000000000
χ5844-4-4004−4i4i40000-4-40−4i4i00-244-4-222-42i2i−2i−2i-20000-2200002−4i4i00002i2i−2i−2i0000000000000000000000000000000000000000
χ5944-4-4004−4i4i40000-4-40−4i4i00-2-2-22-22222i2i−2i−2i100001-13-33-3-12i−2i0000−i−iii−3i3i−3i3i000000000000000000000000000000000000
χ6044-4-4004−4i4i40000-4-40−4i4i00-2-2-22-22222i2i−2i−2i100001-1-33-33-12i−2i0000−i−iii3i−3i3i−3i000000000000000000000000000000000000
χ614-44-400400-400004-40000044-44-4-44-4000040000-4-40000400000000000000000000000000000000000000000000000000
χ624-44-400400-400004-4000004-22-2-4-4420000-20000220000-200−2i32i3000000−2i32i32i3−2i3000000000000000000000000000000000000
χ634-44-400400-400004-4000004-22-2-4-4420000-20000220000-2002i3−2i30000002i3−2i3−2i32i3000000000000000000000000000000000000
χ644-44-400400-400004-400000-24-4422-2-4−2i32i32i3−2i3-20000220000-2000000−2i32i32i3−2i30000000000000000000000000000000000000000
χ654-44-400400-400004-400000-24-4422-2-42i3−2i3−2i32i3-20000220000-20000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ664-44-400400-400004-400000-2-22-222-22−2i32i32i3−2i310000-1-13-3-331002i3−2i300i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000
χ674-44-400400-400004-400000-2-22-222-22−2i32i32i3−2i310000-1-1-333-3100−2i32i300i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000
χ684-44-400400-400004-400000-2-22-222-222i3−2i3−2i32i310000-1-13-3-33100−2i32i300−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000
χ694-44-400400-400004-400000-2-22-222-222i3−2i3−2i32i310000-1-1-333-31002i3−2i300−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000
χ704-4-444-4400-444-4-4-44000004-222-44-4-20000-24-4-222-2-2-222200000000000000000000000000000000000000000000000000
χ714-4-444-4400-444-4-4-4400000-2-2222-22-223−2323−231-22-22-1111-1-1-1000023−23−33−33−3−333000000000000000000000000000000000000
χ724-4-444-4400-444-4-4-4400000-2-2222-22-2−2323−23231-22-22-1111-1-1-10000−23233−33−333−3−3000000000000000000000000000000000000
χ734-4-44-44400-4-4-444-44000004-222-44-4-20000-2-442-22-222-2-2200000000000000000000000000000000000000000000000000
χ744-4-44-44400-4-4-444-4400000-2-2222-22-223−2323−2312-22-2-11-1-111-10000−2323−33−3333−3−3000000000000000000000000000000000000
χ754-4-44-44400-4-4-444-4400000-2-2222-22-2−2323−232312-22-2-11-1-111-1000023−233−33−3−3−333000000000000000000000000000000000000
χ76666666-366-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000002200220020000200-1-1-1-100-1-1-1-10000000000
χ77666666-366-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000-2-200-2-200-20000-20011110011110000000000
χ78666666-3-6-6-3-3-3-3-3-3-3-63333000000000000000000000000000000000000002200-2-20020000-200-1-1-1-10011110000000000
χ79666666-3-6-6-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000-2-2002200-20000200111100-1-1-1-10000000000
χ806666-6-6-366-33333-3-3-6-3-3330000000000000000000000000000000000000022002200-20000-200-1-11100-1-1110000000000
χ816666-6-6-366-33333-3-3-6-3-33300000000000000000000000000000000000000-2-200-2-2002000020011-1-10011-1-10000000000
χ826666-6-6-3-6-6-33333-3-3633-3-3000000000000000000000000000000000000002200-2-200-20000200-1-1110011-1-10000000000
χ836666-6-6-3-6-6-33333-3-3633-3-300000000000000000000000000000000000000-2-200220020000-20011-1-100-1-1110000000000
χ8466-6-600-36i−6i-3−3i33i3−3i33i3330−3i3i33−33000000000000000000000000000000000000002-2002i−2i0000000000-11−i3i300−ii3−30000000000
χ8566-6-600-36i−6i-3−3i33i3−3i33i3330−3i3i33−3300000000000000000000000000000000000000-2200−2i2i00000000001-1i3−i300i−i−330000000000
χ8666-6-600-36i−6i-33i3−3i33i3−3i3330−3i3i−3333000000000000000000000000000000000000002-2002i−2i0000000000-11i3−i300−ii−330000000000
χ8766-6-600-36i−6i-33i3−3i33i3−3i3330−3i3i−333300000000000000000000000000000000000000-2200−2i2i00000000001-1−i3i300i−i3−30000000000
χ8866-6-600-3−6i6i-3−3i33i3−3i33i33303i−3i−3333000000000000000000000000000000000000002-200−2i2i0000000000-11−i3i300i−i−330000000000
χ8966-6-600-3−6i6i-3−3i33i3−3i33i33303i−3i−333300000000000000000000000000000000000000-22002i−2i00000000001-1i3−i300−ii3−30000000000
χ9066-6-600-3−6i6i-33i3−3i33i3−3i33303i−3i33−33000000000000000000000000000000000000002-200−2i2i0000000000-11i3−i300i−i3−30000000000
χ9166-6-600-3−6i6i-33i3−3i33i3−3i33303i−3i33−3300000000000000000000000000000000000000-22002i−2i00000000001-1−i3i300−ii−330000000000
χ9212-1212-1200-6006−6i36i36i3−6i3-660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-1212-1200-60066i3−6i3−6i36i3-660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-121212-12-6006-6-6666-60000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-1212-600666-6-66-60000000000000000000000000000000000000000000000000000000000000000000000000000000

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