Finite Group Databasebeta

← Group #11922268

Character table — Group #11922268

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222224466666666888888881212121216161616161616162424242424242424242424242424242424242424363672727272
order124423461212612224488883666121212126612123666121212122466881212242424242424242424242424882488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ31111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1-1111-1-1-111-1-1111-1-11-1-11-1-1111-1-111-1-1111-1-11-1111-1-1-11111-1-1-1-111-1-11-11-11-1
χ611-1-1-1111-1-1-111-1-1111-1-11-1-11-1-1111-1-111-1-1111-1-1-11-1-1-11111111-1-1-1-1-1-1111-1-11-11
χ711-1-1-1111-1-1-111-1-11-1-1111-1-11-1-1111-1-111-1-1111-1-11-1111-1-1-1-1-1-1-1111111-1-1-11-11-11
χ811-1-1-1111-1-1-111-1-11-1-1111-1-11-1-1111-1-111-1-1111-1-1-11-1-1-1111-1-1-1-11111-1-111-111-11-1
χ922222222222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000220000
χ102222222222222222-2-2-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000111111110000-2-20000
χ1122222-12-1-1-1-1-12222000022222222-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-100000000-1-1-1-1000000
χ1222222-12-1-1-1-1-12222000022222222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211000000001111000000
χ132222-22-2222-2-2-22-2200002-2-2222-2-2-22-222-2-22-2-22200000000000000000000000000
χ142222-22-2222-2-2-22-220000-111-1-1-111-22-22-111-111-1-10000000033−3−333−3−30000000000
χ152222-22-2222-2-2-22-220000-111-1-1-111-22-22-111-111-1-100000000−3−333−3−3330000000000
χ162222-2-1-2-1-1-111-22-2200002-2-2222-2-21-11-1-111-111-1-100−i3i300−i3i300000000−i3i3−i3i3000000
χ172222-2-1-2-1-1-111-22-2200002-2-2222-2-21-11-1-111-111-1-100i3−i300i3−i300000000i3−i3i3−i3000000
χ1822-2-222-22-2-22-2-2-22200002222-2-2-2-2-2-2222222-2-2-2-200000000000000000000000000
χ1922-2-222-22-2-22-2-2-2220000-1-1-1-11111-2-222-1-1-1-111110000000033−3−3−3−3330000000000
χ2022-2-222-22-2-22-2-2-2220000-1-1-1-11111-2-222-1-1-1-1111100000000−3−33333−3−30000000000
χ2122-2-22-1-2-111-11-2-22200002222-2-2-2-211-1-1-1-1-1-1111100−i3i300i3−i300000000−i3i3i3−i3000000
χ2222-2-22-1-2-111-11-2-22200002222-2-2-2-211-1-1-1-1-1-1111100i3−i300−i3i300000000i3−i3−i3i3000000
χ2322-2-2-2222-2-2-222-2-2222-2-2-111-111-1-12-2-22-111-1-1-11100000000-1-1-1-1111100002-20000
χ2422-2-2-2222-2-2-222-2-22-2-222-111-111-1-12-2-22-111-1-1-111000000001111-1-1-1-10000-220000
χ2522-2-2-2-12-1111-12-2-2200002-2-22-2-222-111-1-111-1-1-1112-2-1-12-21100000000-1-111000000
χ2622-2-2-2-12-1111-12-2-2200002-2-22-2-222-111-1-111-1-1-111-2211-22-1-10000000011-1-1000000
χ27333333333333-1-1-1-1333300000000-1-1-1-1000000001111-1-11100000000-1-1-1-1-1-111-1-1
χ28333333333333-1-1-1-1333300000000-1-1-1-100000000-1-1-1-111-1-1000000001111-1-1-1-111
χ29333333333333-1-1-1-1-3-3-3-300000000-1-1-1-1000000001111-1-11100000000-1-1-1-111-1-111
χ30333333333333-1-1-1-1-3-3-3-300000000-1-1-1-100000000-1-1-1-111-1-10000000011111111-1-1
χ3133-3-3-3333-3-3-33-111-133-3-300000000-111-1000000001-111-11-1-100000000-1-111-111-1-11
χ3233-3-3-3333-3-3-33-111-133-3-300000000-111-100000000-11-1-11-1110000000011-1-1-11-111-1
χ3333-3-3-3333-3-3-33-111-1-3-33300000000-111-1000000001-111-11-1-100000000-1-1111-1-111-1
χ3433-3-3-3333-3-3-33-111-1-3-33300000000-111-100000000-11-1-11-1110000000011-1-11-11-1-11
χ3544444-24-2-2-2-2-244440000-2-2-2-2-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ364444-4-2-4-2-2-222-44-440000-222-2-2-2222-22-21-1-11-1-11100000000000000000000000000
χ3744-4-44-2-4-222-22-4-4440000-2-2-2-2222222-2-21111-1-1-1-100000000000000000000000000
χ3844-4-4-4-24-2222-24-4-440000-222-222-2-2-222-21-1-1111-1-100000000000000000000000000
χ394-44i−4i040-44i−4i00000022−22−2i22i21−i3i3-1i−i3−300001−i3i3-13−3i−i00000000ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ70000000000
χ404-44i−4i040-44i−4i00000022−22−2i22i21i3−i3-1i−i−3300001i3−i3-1−33i−i00000000ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ230000000000
χ414-44i−4i040-44i−4i00000022−22−2i22i2-2002−2i2i000000-200200−2i2i000000002−2−22i2−i2−i2i20000000000
χ424-44i−4i040-44i−4i000000−22222i2−2i21−i3i3-1i−i3−300001−i3i3-13−3i−i00000000−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ70000000000
χ434-44i−4i040-44i−4i000000−22222i2−2i21i3−i3-1i−i−3300001i3−i3-1−33i−i00000000−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ230000000000
χ444-44i−4i040-44i−4i000000−22222i2−2i2-2002−2i2i000000-200200−2i2i00000000−222−2−i2i2i2−i20000000000
χ454-4−4i4i040-4−4i4i00000022−222i2−2i21−i3i3-1−ii−3300001−i3i3-1−33−ii00000000ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ230000000000
χ464-4−4i4i040-4−4i4i00000022−222i2−2i21i3−i3-1−ii3−300001i3−i3-13−3−ii00000000ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ70000000000
χ474-4−4i4i040-4−4i4i00000022−222i2−2i2-20022i−2i000000-2002002i−2i000000002−2−22−i2i2i2−i20000000000
χ484-4−4i4i040-4−4i4i000000−2222−2i22i21−i3i3-1−ii−3300001−i3i3-1−33−ii00000000−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ230000000000
χ494-4−4i4i040-4−4i4i000000−2222−2i22i21i3−i3-1−ii3−300001i3−i3-13−3−ii00000000−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ70000000000
χ504-4−4i4i040-4−4i4i000000−2222−2i22i2-20022i−2i000000-2002002i−2i00000000−222−2i2−i2−i2i20000000000
χ5166666-36-3-3-3-3-3-2-2-2-200000000000011110000000022-1-1-2-2-1-1000000001111000000
χ5266666-36-3-3-3-3-3-2-2-2-2000000000000111100000000-2-211221100000000-1-1-1-1000000
χ536666-66-6666-6-62-22-20000000000002-22-20000000000000000000000000000000000
χ546666-6-3-6-3-3-3332-22-2000000000000-11-110000000000−i3i300−i3i300000000i3−i3i3−i3000000
χ556666-6-3-6-3-3-3332-22-2000000000000-11-110000000000i3−i300i3−i300000000−i3i3−i3i3000000
χ5666-6-666-66-6-66-622-2-200000000000022-2-20000000000000000000000000000000000
χ5766-6-66-3-6-333-3322-2-2000000000000-1-1110000000000−i3i300i3−i300000000i3−i3−i3i3000000
χ5866-6-66-3-6-333-3322-2-2000000000000-1-1110000000000i3−i300−i3i300000000−i3i3i3−i3000000
χ5966-6-6-6-36-3333-3-222-20000000000001-1-11000000002-2-1-1-22110000000011-1-1000000
χ6066-6-6-6-36-3333-3-222-20000000000001-1-1100000000-22112-2-1-100000000-1-111000000
χ618-88i−8i0-404−4i4i00000000002−2i32i3-22i−2i23−230000-1i3−i31−33−ii00000000000000000000000000
χ628-88i−8i0-404−4i4i000000000022i3−2i3-22i−2i−23230000-1−i3i313−3−ii00000000000000000000000000
χ638-88i−8i0-404−4i4i0000000000-4004−4i4i000000200-2002i−2i00000000000000000000000000
χ648-8−8i8i0-4044i−4i00000000002−2i32i3-2−2i2i−23230000-1i3−i313−3i−i00000000000000000000000000
χ658-8−8i8i0-4044i−4i000000000022i3−2i3-2−2i2i23−230000-1−i3i31−33i−i00000000000000000000000000
χ668-8−8i8i0-4044i−4i0000000000-40044i−4i000000200-200−2i2i00000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.