Finite Group Databasebeta

← Group #13149977

Character table — Group #13149977

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1122222444446666881212121212121212181818181818181818181818242424242424243636363636363636363636363636363636364848727272727272
order123468824122424336661236121224242424222444121212121212661212122424222444666888242424242424612666121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-1-111-1-1-1-111111111-1-11-1-11-1-11-1-111-1-1-1-1111-1-11-1-1
χ311111111111111111111111111-11-1-11-1-1-111-1-11111111-11-1-11-1-11-1-11-1-1-111-1-111-11-1-11-1
χ411111111111111111111111111-1-11-1-11-1-1-1-1111111111-1-11-1-11-1-11-1-11-1-1-1-11111-1-11-1-11
χ51111111-1-11111111-1-111111111111111111111-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ61111111-1-11111111-1-1111111111-1-11-1-111-1-1-1-1-1-1-1-1111-111-1111-1-11-1-111-1-1-1-1-1-1-111-111
χ71111111-1-11111111-1-111111111-11-1-11-1-1-111-1-1-1-1-1-11111-111-11-11-1-11-1-1-111-1-1-1-11-111-11
χ81111111-1-11111111-1-111111111-1-11-1-11-1-1-1-111-1-1-1-111111-111-1-1-11-1-11-1-1-1-111-1-111-111-1
χ911111-1-11-11-1-111111-11111-1-1-1-111111111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1111
χ1011111-1-11-11-1-111111-11111-1-1-1-11-1-11-1-111-1-1-1-111-1-11-1-1-1111-1-11-1-1-111-1-111111-1-1111-1-1
χ1111111-1-11-11-1-111111-11111-1-1-1-1-11-1-11-1-1-111-1-111-1-11-1-11-11-11-1-11-11-1111-1-1111-11-11-11-1
χ1211111-1-11-11-1-111111-11111-1-1-1-1-1-11-1-11-1-1-1-11111-1-11-1-111-1-1-11-1-1111-11111-1-11-111-1-1-11
χ1311111-1-1-111-1-11111-111111-1-1-1-1111111111111-1-1111-1-1111-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1
χ1411111-1-1-111-1-11111-111111-1-1-1-11-1-11-1-111-1-1-1-1-1-1111-1-11-1-1-1111-1-1-111-1-11111-111-1-1-111
χ1511111-1-1-111-1-11111-111111-1-1-1-1-11-1-11-1-1-111-1-1-1-1111-1-1-11-11-11-11-11-1111-1-111-11-11-11-11
χ1611111-1-1-111-1-11111-111111-1-1-1-1-1-11-1-11-1-1-1-111-1-1111-1-1-1-1111-1-1-1111-11111-1-1-11-1-1111-1
χ172222222222222-12-122-1-12-122-1-10020020000-1-12-12-1-1-1-100200200-10020000-1-1-1-100-100-1
χ182222222222222-12-122-1-12-122-1-100-200-20000112-12-1-1-1-100-200-200100-2000011-1-1001001
χ19222222222222-12-1222-1-1-12-1-12202002000-1-100-12-12-1-1-10200200-1002000-1-100-1-10-100-10
χ20222222222222-12-1222-1-1-12-1-1220-200-20001100-12-12-1-1-10-200-200100-20001100-1-1010010
χ212222222-2-22222-12-1-2-2-1-12-122-1-10020020000-1-1-21-21-1-1-100-200-200-10020000-1-111001001
χ222222222-2-22222-12-1-2-2-1-12-122-1-100-200-2000011-21-21-1-1-100200200100-20000111100-100-1
χ232222222-2-2222-12-12-2-2-1-1-12-1-12202002000-1-1001-21-2-1-1-10-200-200-1002000-1-10011010010
χ242222222-2-2222-12-12-2-2-1-1-12-1-1220-200-200011001-21-2-1-1-10200200100-20001100110-100-10
χ2522222-2-22-22-2-22-12-12-2-1-12-1-2-2110020020000-1-12-1-21-11100-200200-100-2000011-1100100-1
χ2622222-2-22-22-2-22-12-12-2-1-12-1-2-21100-200-20000112-1-21-11100200-20010020000-1-1-1100-1001
χ2722222-2-22-22-2-2-12-122-2-1-1-1211-2-202002000-1-100-121-2-1110-200200-100-20001100-110100-10
χ2822222-2-22-22-2-2-12-122-2-1-1-1211-2-20-200-20001100-121-2-1110200-2001002000-1-100-110-10010
χ2922222-2-2-222-2-22-12-1-22-1-12-1-2-2110020020000-1-1-212-1-11100200-200-100-20000111-100-1001
χ3022222-2-2-222-2-22-12-1-22-1-12-1-2-21100-200-2000011-212-1-11100-20020010020000-1-11-100100-1
χ3122222-2-2-222-2-2-12-12-22-1-1-1211-2-202002000-1-1001-2-12-1110200-200-100-200011001-10-10010
χ3222222-2-2-222-2-2-12-12-22-1-1-1211-2-20-200-200011001-2-12-1110-2002001002000-1-1001-10100-10
χ33222-220000-20022220022-2-2000022-2-2-22-2-2-2-2220000-20000000022-200000000000000000
χ34222-220000-20022220022-2-200002-22-22-2-2-222-2-20000-2000000002-2200000000000000000
χ35222-220000-20022220022-2-20000-2222-2-222-2-2-2-20000-200000000-22200000000000000000
χ36222-220000-20022220022-2-20000-2-2-22222222220000-200000000-2-2-200000000000000000
χ37444444444444-2-2-2-24411-2-2-2-2-2-2000000000000-2-2-2-211100000000000000000011000000
χ384444444-4-4444-2-2-2-2-4-411-2-2-2-2-2-20000000000002222111000000000000000000-1-1000000
χ3944444-4-44-44-4-4-2-2-2-24-411-2-22222000000000000-2-2221-1-10000000000000000001-1000000
χ4044444-4-4-444-4-4-2-2-2-2-4411-2-2222200000000000022-2-21-1-1000000000000000000-11000000
χ41444-440000-4004-24-200-2-2-42000000400-4000022000020000000000-200000000000000000
χ42444-440000-4004-24-200-2-2-42000000-40040000-2-2000020000000000200000000000000000
χ43444-440000-400-24-2400-2-22-400000400-4000220000002000000000-2000000000000000000
χ44444-440000-400-24-2400-2-22-400000-4004000-2-200000020000000002000000000000000000
χ454-440-4−2i22i2000−2i22i244-4-4004-400−2i22i2−2i22i200000000000000000−2i22i200000000000000000000000000
χ464-440-4−2i22i2000−2i22i24-2-4200-2200−2i22i2i2−i2000000000023−2300000i2−i20000000000000000i6−i600000000
χ474-440-4−2i22i2000−2i22i24-2-4200-2200−2i22i2i2−i20000000000−232300000i2−i20000000000000000−i6i600000000
χ484-440-4−2i22i2000−2i22i2-242-400-2200i2−i2−2i22i20000000023−230000000i2−i200000000000000i6−i60000000000
χ494-440-4−2i22i2000−2i22i2-242-400-2200i2−i2−2i22i200000000−23230000000i2−i200000000000000−i6i60000000000
χ504-440-42i2−2i20002i2−2i244-4-4004-4002i2−2i22i2−2i2000000000000000002i2−2i200000000000000000000000000
χ514-440-42i2−2i20002i2−2i24-2-4200-22002i2−2i2−i2i2000000000023−2300000−i2i20000000000000000−i6i600000000
χ524-440-42i2−2i20002i2−2i24-2-4200-22002i2−2i2−i2i20000000000−232300000−i2i20000000000000000i6−i600000000
χ534-440-42i2−2i20002i2−2i2-242-400-2200−i2i22i2−2i20000000023−230000000−i2i200000000000000−i6i60000000000
χ544-440-42i2−2i20002i2−2i2-242-400-2200−i2i22i2−2i200000000−23230000000−i2i200000000000000i6−i60000000000
χ5566-36-36666-3-3-30000-3-300000000200200-1-100000000000200200-100200-1-1000000-100-100
χ5666-36-36666-3-3-30000-3-300000000-200-2001100000000000-200-200100-20011000000100100
χ5766-36-366-6-6-3-3-300003300000000200200-1-100000000000-200-200-100200-1-1000000100100
χ5866-36-366-6-6-3-3-300003300000000-200-2001100000000000200200100-20011000000-100-100
χ5966-36-3-6-66-6-3330000-3300000000200200-1-100000000000-200200-100-20011000000100-100
χ6066-36-3-6-66-6-3330000-3300000000-200-2001100000000000200-200100200-1-1000000-100100
χ6166-36-3-6-6-66-33300003-300000000200200-1-100000000000200-200-100-20011000000-100100
χ6266-36-3-6-6-66-33300003-300000000-200-2001100000000000-200200100200-1-1000000100-100
χ63888-880000-800-4-4-4-400224400000000000000000000-20000000000000000000000000000
χ648-880-8−4i24i2000−4i24i2-4-444002-2002i2−2i22i2−2i200000000000000000−i2i200000000000000000000000000
χ658-880-84i2−4i20004i2−4i2-4-444002-200−2i22i2−2i22i200000000000000000i2−i200000000000000000000000000
χ661212-6-12-6000060000000000000000400-4002200000000000000000-20000000000000000000
χ671212-6-12-6000060000000000000000-400400-2-20000000000000000020000000000000000000
χ6812-12-606−6i26i20003i2−3i20000000000000000000023−2300000000000000000000000i6−i6000000000000
χ6912-12-606−6i26i20003i2−3i200000000000000000000−232300000000000000000000000−i6i6000000000000
χ7012-12-6066i2−6i2000−3i23i20000000000000000000023−2300000000000000000000000−i6i6000000000000
χ7112-12-6066i2−6i2000−3i23i200000000000000000000−232300000000000000000000000i6−i6000000000000

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