Finite Group Databasebeta

← Group #13140647

Character table — Group #13140647

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222224466666666888121212121212121218182424242424242424242436363636363636363636363636363636363636363672727272727272
order122234466612123366666626636661212121244666666661212222446688881212242424242424242446612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111
χ31111111111111111111111111111111-1-11111111111-111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1
χ41111111111111111111111111111111-1-11111111111-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1
χ511111111111111111111-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1
χ711111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111
χ811111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1-1-111111-1-11111
χ92222222222222-12-1-1-122222-1-1-1-1-122-10022-1-1-1-1-1-1-1-102200002200000000-1-1-1-10-1-10000
χ102222222222222-12-1-1-122222-1-1-1-1-122-10022-1-1-1-1-1-1-1-10-2-20000-2-20000000011110110000
χ112222222222222-12-1-1-122-2-2-2-1-1-1-1-122-100-2-2111111-1-10220000-2-20000000011110-1-10000
χ122222222222222-12-1-1-122-2-2-2-1-1-1-1-122-100-2-2111111-1-10-2-200002200000000-1-1-1-10110000
χ13222222222222-12-1222-1-1222-1-1-1-12-1-1222-1-122-1-1-1-1-1-120000-1-10000-1-10000000020000-1-1
χ14222222222222-12-1222-1-1222-1-1-1-12-1-12-2-2-1-122-1-1-1-1-1-1-200001100001100000000-2000011
χ15222222222222-12-1222-1-1-2-2-2-1-1-1-12-1-122211-2-21111-1-120000-1-10000-1-100000000-2000011
χ16222222222222-12-1222-1-1-2-2-2-1-1-1-12-1-12-2-211-2-21111-1-1-20000110000110000000020000-1-1
χ1722222-2-2222-2-2222222220002222-2-2-2-22200000000-2-2-20000-2-2000022000000000000000
χ1822222-2-2222-2-2222222220002222-2-2-2-2-2-200000000-2-220000220000-2-2000000000000000
χ1922222-2-2222-2-2-12-1222-1-1000-1-1-1-1-211-222−i3i300−i3−i3i3i311-20000110000-1-10000000000000−i3i3
χ2022222-2-2222-2-2-12-1222-1-1000-1-1-1-1-211-222i3−i300i3i3−i3−i311-20000110000-1-10000000000000i3−i3
χ2122222-2-2222-2-2-12-1222-1-1000-1-1-1-1-211-2-2-2−i3i300−i3−i3i3i31120000-1-10000110000000000000i3−i3
χ2222222-2-2222-2-2-12-1222-1-1000-1-1-1-1-211-2-2-2i3−i300i3i3−i3−i31120000-1-10000110000000000000−i3i3
χ2322-2-22002-2-2002222-2-2-2-200022-2-200002i−2i000000000000000002−2−i2i22i−2i−i2−i2i2i222−2−20000000
χ2422-2-22002-2-2002222-2-2-2-200022-2-200002i−2i00000000000000000−22i2−i22i−2ii2i2−i2−i2−2−2220000000
χ2522-2-22002-2-2002222-2-2-2-200022-2-20000−2i2i000000000000000002−2i2−i2−2i2ii2i2−i2−i222−2−20000000
χ2622-2-22002-2-2002222-2-2-2-200022-2-20000−2i2i00000000000000000−22−i2i2−2i2i−i2−i2i2i2−2−2220000000
χ272-2-2222-2-2-222-222-2-2-222-20002-2-22-22-2200000000002-202-200000000000000000002-20000
χ282-2-2222-2-2-222-222-2-2-222-20002-2-22-22-2200000000002-20-220000000000000000000-220000
χ292-2-2222-2-2-222-22-1-211-12-2000-111-112-2-10000−i3i3−i3i3−i3i3-1102-200000000000000−i3i3−i3i30-110000
χ302-2-2222-2-2-222-22-1-211-12-2000-111-112-2-10000−i3i3−i3i3−i3i3-110-2200000000000000i3−i3i3−i301-10000
χ312-2-2222-2-2-222-22-1-211-12-2000-111-112-2-10000i3−i3i3−i3i3−i3-1102-200000000000000i3−i3i3−i30-110000
χ322-2-2222-2-2-222-22-1-211-12-2000-111-112-2-10000i3−i3i3−i3i3−i3-110-2200000000000000−i3i3−i3i301-10000
χ332-2-222-22-2-22-2222-2-2-222-20002-2-222-22-20000000000-220002-200000000000000000002-200
χ342-2-222-22-2-22-2222-2-2-222-20002-2-222-22-20000000000-22000-220000000000000000000-2200
χ35444444444444-2-2-2-2-2-2-2-24441111-2-2-2-200-2-2-2-21111110000000000000000000000000000
χ36444444444444-2-2-2-2-2-2-2-2-4-4-41111-2-2-2-2002222-1-1-1-1110000000000000000000000000000
χ3744444-4-4444-4-44-24-2-2-244000-2-2-2-22-4-420000000000220000000000000000000000000000
χ3844444-4-4444-4-4-2-2-2-2-2-2-2-20001111222200−2i32i300i3i3−i3−i3-1-10000000000000000000000000000
χ3944444-4-4444-4-4-2-2-2-2-2-2-2-200011112222002i3−2i300−i3−i3i3i3-1-10000000000000000000000000000
χ4044-4-44004-4-4004-24-222-4-4000-2-2220000000000000000000000022−2200000000−2−2220000000
χ4144-4-44004-4-4004-24-222-4-4000-2-22200000000000000000000000−22220000000022−2−20000000
χ4244-4-44004-4-400-24-24-4-422000-2-22200004i−4i000000000000000000000−2i2i000000000000000
χ4344-4-44004-4-400-24-24-4-422000-2-2220000−4i4i0000000000000000000002i−2i000000000000000
χ444-44-4400-44-40044-4-44-4-440004-44-400000000000000000000000000000000000000000000
χ454-44-4400-44-4004-2-42-22-44000-22-22000000000000000000000000000000000i6−i6−i6i60000000
χ464-44-4400-44-4004-2-42-22-44000-22-22000000000000000000000000000000000−i6i6i6−i60000000
χ474-44-4400-44-400-242-44-42-2000-22-22000000000000000000000−2i32i3000000000000000000000
χ484-44-4400-44-400-242-44-42-2000-22-220000000000000000000002i3−2i3000000000000000000000
χ494-4-4444-4-4-444-4-242-4-44-22000-222-2-4-2240000000000-220000000000000000000000000000
χ504-4-4444-4-4-444-4-2-2222-2-220001-1-112-22-20000−2i32i3i3−i3i3−i31-10000000000000000000000000000
χ514-4-4444-4-4-444-4-2-2222-2-220001-1-112-22-200002i3−2i3−i3i3−i3i31-10000000000000000000000000000
χ524-4-444-44-4-44-444-2-422-24-4000-222-2-2-44200000000002-20000000000000000000000000000
χ534-4-444-44-4-44-44-242-4-44-22000-222-242-2-400000000002-20000000000000000000000000000
χ544-4-444-44-4-44-44-2-2222-2-220001-1-11-22-220000003-3-33-110000000000000000000000000000
χ554-4-444-44-4-44-44-2-2222-2-220001-1-11-22-22000000-333-3-110000000000000000000000000000
χ566666-366-3-3-3-3-3000000006-3-3000000000000000000000002200002200-1-1-1-10000000-1-100
χ576666-366-3-3-3-3-3000000006-3-300000000000000000000000-2-20000-2-200111100000001100
χ586666-366-3-3-3-3-300000000-63300000000000000000000000220000-2-20011110000000-1-100
χ596666-366-3-3-3-3-300000000-63300000000000000000000000-2-200002200-1-1-1-100000001100
χ606-6-66-3-6633-33-3000000000−3i33i3000000000000000000000002-200000000−i3i3−i3i30000000-1100
χ616-6-66-3-6633-33-3000000000−3i33i300000000000000000000000-2200000000i3−i3i3−i300000001-100
χ626-6-66-3-6633-33-30000000003i3−3i3000000000000000000000002-200000000i3−i3i3−i30000000-1100
χ636-6-66-3-6633-33-30000000003i3−3i300000000000000000000000-2200000000−i3i3−i3i300000001-100
χ6488-8-88008-8-800-4-4-4-4444400022-2-200000000000000000000000000000000000000000000
χ658-88-8800-88-800-4-444-444-40002-22-200000000000000000000000000000000000000000000
χ6612121212-6-12-12-6-6-66600000000000000000000000000000000000000000000000000000000000
χ671212-12-12-600-666000000000000000000000000000000000000000000−2i22i200i2i2−i2−i200000000000
χ681212-12-12-600-6660000000000000000000000000000000000000000002i2−2i200−i2−i2i2i200000000000
χ6912-1212-12-6006-6600000000000000000000000000000000000000000000006−6−6600000000000
χ7012-1212-12-6006-660000000000000000000000000000000000000000000000−666−600000000000
χ7112-12-1212-612-1266-6-6600000000000000000000000000000000000000000000000000000000000

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