Finite Group Databasebeta

← Group #13151343

Character table — Group #13151343

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1111222222444466666666881212121212121212121212121818181818181818242424242424242436363636363636363636363636363636363636363636363672727272
order12222236662466336666666123666666666121244441212121266666121212222444444466121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-11-111-1-1-11-1-1-11111-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11-1-111-1-11-1-1-1-1-1-11111-1-1-1-1-11-11
χ51111111111-1-11111111111-1-111111-1-1111-1-111111111-111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111
χ61111111111-1-11111111111-1-111111-1-1111-1-111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-11111111111-1-1-1-1-1-1
χ71111111111-1-11111111111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-11111-111-1-1-1-11111-1-1111-11-1
χ81111111111-1-11111111111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1111-1-11-11111111-1-1-1-1-1-111-11-11
χ91111-1-111111-1-1-1111111111-11-1-1-1-111111-1-111-1-111111-1-111-1-1-1-1111-11-11-1-1-1-111-1-111-1-1-1-11111-1-1
χ101111-1-111111-1-1-1111111111-11-1-1-1-111111-1-111-1-111111-1-111-1-1-1-1-1-1-11-11111-1-1-1-111-1-111-1-111-1-111
χ111111-1-111111-1-1-1111111111-11-1-1-1-111111-1-1-1-111-1-1-1-11-1-111-1-1-111-11-1-11-1-111111-1-1-1-11111-1-11-1-11
χ121111-1-111111-1-1-1111111111-11-1-1-1-111111-1-1-1-111-1-1-1-11-1-111-1-1-11-11-111-1-11-111-1-11111-1-111-1-1-111-1
χ131111-1-11111-11-1-111111111-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1111111-11-11-1-1-111-1-111-1-111-1-1-1-111-1-1
χ141111-1-11111-11-1-111111111-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-11111-1-11-11-1-1111111-1-111-1-1-1-1-1-1-1-111
χ151111-1-11111-11-1-111111111-111-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1111-11-1-111-11-11-1-1-1-11111-1-111111-1-11
χ161111-1-11111-11-1-111111111-111-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-1111-1-1-111-1-1-1-1111111-111-1
χ17222222222222222-122-1-1-1222-122-1-122-1-1-12200000000-1-1-1-1-1-1-1-10020022002000000-1-1-1-100000-10-1
χ18222222222222222-122-1-1-1222-122-1-122-1-1-12200000000-1-1-1-1-1-1-1-100-200-2-200-2000000111100000101
χ1922222222222222-12-1-1222-122-1-1-122-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-12-1-12000000200-1-100000000-1-1-1-10000
χ2022222222222222-12-1-1222-122-1-1-122-1-1-1-1-1-1-1-2-2-2-211112-1-1-1-12-1-1-2000000-200110000000011110000
χ212222222222-2-2222-122-1-1-12-2-2-122-1-1-2-2-1-1-1-2-2000000001-1-11111100200-2-2002000000111100000-10-1
χ222222222222-2-2222-122-1-1-12-2-2-122-1-1-2-2-1-1-1-2-2000000001-1-11111100-2002200-2000000-1-1-1-100000101
χ232222222222-2-222-12-1-1222-1-2-2-1-1-12211-1-1-1112222-1-1-1-1-2-1-111-211-2000000-2001100000000-1-1110000
χ242222222222-2-222-12-1-1222-1-2-2-1-1-12211-1-1-111-2-2-2-21111-2-1-111-2112000000200-1-10000000011-1-10000
χ252222-2-222222-2-2-22-122-1-1-122-2-1-2-21122-1-1-1-2-200000000-111-1-1111002002-200-2000000-1-11100000-101
χ262222-2-222222-2-2-22-122-1-1-122-2-1-2-21122-1-1-1-2-200000000-111-1-111100-200-2200200000011-1-10000010-1
χ272222-2-222222-2-2-2-12-1-1222-12-2-111-2-2-1-1-1-1-11122-2-2-1-1-1-1211-1-1-211-2000000200110000000011-1-10000
χ282222-2-222222-2-2-2-12-1-1222-12-2-111-2-2-1-1-1-1-111-2-2221111211-1-1-2112000000-200-1-100000000-1-1110000
χ292222-2-22222-22-2-22-122-1-1-12-22-1-2-211-2-2-1-1-1220000000011111-1-1-100200-2200-200000011-1-100000-101
χ302222-2-22222-22-2-22-122-1-1-12-22-1-2-211-2-2-1-1-1220000000011111-1-1-100-2002-2002000000-1-1110000010-1
χ312222-2-22222-22-2-2-12-1-1222-1-22-111-2-211-1-1-1-1-122-2-2-1-1-1-1-211112-1-12000000-200-1-10000000011110000
χ322222-2-22222-22-2-2-12-1-1222-1-22-111-2-211-1-1-1-1-1-2-2221111-211112-1-1-20000002001100000000-1-1-1-10000
χ332-2-222-22-22-2002-222-2-2-22-220022-22-200-2-22002-22-222-2-202-200000000000000000000000002-2000000
χ342-2-222-22-22-2002-222-2-2-22-220022-22-200-2-2200-22-22-2-22202-20000000000000000000000000-22000000
χ352-2-222-22-22-2002-2-1211-22-2-100-1-112-2−i3i311-1−i3i32-22-2-1-1110-11−i3i30−i3i30000000000−i3i300000000-11−i3i30000
χ362-2-222-22-22-2002-2-1211-22-2-100-1-112-2−i3i311-1−i3i3-22-2211-1-10-11−i3i30−i3i30000000000i3−i3000000001-1i3−i30000
χ372-2-222-22-22-2002-2-1211-22-2-100-1-112-2i3−i311-1i3−i32-22-2-1-1110-11i3−i30i3−i30000000000i3−i300000000-11i3−i30000
χ382-2-222-22-22-2002-2-1211-22-2-100-1-112-2i3−i311-1i3−i3-22-2211-1-10-11i3−i30i3−i30000000000−i3i3000000001-1−i3i30000
χ392-2-22-222-22-200-2222-2-2-22-22002-22-2200-2-22002-2-2222-2-20-220000000000000000000000000-22000000
χ402-2-22-222-22-200-2222-2-2-22-22002-22-2200-2-2200-222-2-2-2220-2200000000000000000000000002-2000000
χ412-2-22-222-22-200-22-1211-22-2-100-11-1-22−i3i311-1i3−i32-2-22-1-11101-1−i3i30i3−i30000000000i3−i3000000001-1−i3i30000
χ422-2-22-222-22-200-22-1211-22-2-100-11-1-22−i3i311-1i3−i3-222-211-1-101-1−i3i30i3−i30000000000−i3i300000000-11i3−i30000
χ432-2-22-222-22-200-22-1211-22-2-100-11-1-22i3−i311-1−i3i32-2-22-1-11101-1i3−i30−i3i30000000000−i3i3000000001-1i3−i30000
χ442-2-22-222-22-200-22-1211-22-2-100-11-1-22i3−i311-1−i3i3-222-211-1-101-1i3−i30−i3i30000000000i3−i300000000-11−i3i30000
χ4544444444444444-2-2-2-2-2-2-2-2441-2-2-2-2-2-2111-2-200000000-21111-2110000000000000000000000000000
χ464444444444-4-444-2-2-2-2-2-2-2-2-4-41-2-2-2-2221112200000000211-1-12-1-10000000000000000000000000000
χ474444-4-444444-4-4-4-2-2-2-2-2-2-2-24-412222-2-21112200000000-2-1-1112-1-10000000000000000000000000000
χ484444-4-44444-44-4-4-2-2-2-2-2-2-2-2-441222222111-2-2000000002-1-1-1-1-2110000000000000000000000000000
χ4944-4-40044-4-40000444-44-4-4-40040000004-4-40000000000000000000000000000000000000000000000
χ5044-4-40044-4-400004-24-4-222-400-2000000-22200000000000000000000000000000000000023−2300000000
χ5144-4-40044-4-400004-24-4-222-400-2000000-222000000000000000000000000000000000000−232300000000
χ5244-4-40044-4-40000-24-224-4-4200-2000000-22200000023−2323−23000000000000000000000000000000000000
χ5344-4-40044-4-40000-24-224-4-4200-2000000-222000000−2323−2323000000000000000000000000000000000000
χ544-44-4004-4-44000044-44-4-44-4004000000-44-40000000000000000000000000000000000000000000000
χ554-44-4004-4-4400004-2-4422-2-400-20000002-220000000000000000000000000000000000−2i32i30000000000
χ564-44-4004-4-4400004-2-4422-2-400-20000002-2200000000000000000000000000000000002i3−2i30000000000
χ574-44-4004-4-440000-242-2-4-44200-20000002-2200000023−23−2323000000000000000000000000000000000000
χ584-44-4004-4-440000-242-2-4-44200-20000002-22000000−232323−23000000000000000000000000000000000000
χ594-4-444-44-44-4004-44-2-4-42-22400-24-4-220022-200000000000-22000000000000000000000000000000000
χ604-4-444-44-44-4004-4-2-2222-22-2001-22-22−2i32i3-1-11−2i32i30000000001-1i3−i30i3−i30000000000000000000000000000
χ614-4-444-44-44-4004-4-2-2222-22-2001-22-222i3−2i3-1-112i3−2i30000000001-1−i3i30−i3i30000000000000000000000000000
χ624-4-44-444-44-400-444-2-4-42-22400-2-442-20022-2000000000002-2000000000000000000000000000000000
χ634-4-44-444-44-400-44-2-2222-22-20012-22-2−2i32i3-1-112i3−2i3000000000-11i3−i30−i3i30000000000000000000000000000
χ644-4-44-444-44-400-44-2-2222-22-20012-22-22i3−2i3-1-11−2i32i3000000000-11−i3i30i3−i30000000000000000000000000000
χ65666666-3-3-3-366-3-300000000-3-30000000000000000000000000000020220002000-1-1-1-100000000-10-10
χ66666666-3-3-3-366-3-300000000-3-300000000000000000000000000000-20-2-2000-20001111000000001010
χ67666666-3-3-3-3-6-6-3-300000000330000000000000000000000000000020-2-20002000111100000000-10-10
χ68666666-3-3-3-3-6-6-3-3000000003300000000000000000000000000000-2022000-2000-1-1-1-1000000001010
χ696666-6-6-3-3-3-36-63300000000-3300000000000000000000000000000202-2000-2000-1-11100000000-1010
χ706666-6-6-3-3-3-36-63300000000-3300000000000000000000000000000-20-22000200011-1-10000000010-10
χ716666-6-6-3-3-3-3-6633000000003-30000000000000000000000000000020-22000-200011-1-100000000-1010
χ726666-6-6-3-3-3-3-6633000000003-300000000000000000000000000000-202-20002000-1-1110000000010-10
χ7388-8-80088-8-80000-4-4-44-44440020000002-2-20000000000000000000000000000000000000000000000
χ748-88-8008-8-880000-4-44-444-44002000000-22-20000000000000000000000000000000000000000000000
χ751212-12-1200-6-6660000000000000000000000000000000000000000000000000000000023−23000000000000
χ761212-12-1200-6-66600000000000000000000000000000000000000000000000000000000−2323000000000000
χ7712-1212-1200-666-6000000000000000000000000000000000000000000000000000000−2i32i300000000000000
χ7812-1212-1200-666-60000000000000000000000000000000000000000000000000000002i3−2i300000000000000
χ7912-12-121212-12-66-6600-66000000000000000000000000000000000000000000000000000000000000000000
χ8012-12-1212-1212-66-66006-6000000000000000000000000000000000000000000000000000000000000000000

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