Finite Group Databasebeta

← Group #11921725

Character table — Group #11921725

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222224466666666888888881212121216161616161616162424242424242424242424242424242424242424363672727272
order12223446661212224444443666121212121212121236661212121244666688121212121212121224242424442488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1
χ3111111111111-1-1-1-111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11-111111-111-1-1-1-1-1-111-1-11-11-11-1
χ611111-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-111111-11-1-111-1-1-1-1-1-1111-1-11-11
χ711111-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-11-111-1-1111111-1-1-11-11-11
χ811111-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1-11-1-1111111-1-111-111-11-1
χ922222222222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-1-1-1-1000000-1-1-1-10000220000
χ10222222222222-2-2-2-22222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100111100000011110000-2-20000
χ1122222-2-2222-2-222-2-2-2-222-1-1-1-11111-2-222-1-1-1-1111100-1-1-1-1000000111100002-20000
χ1222222-2-2222-2-2-2-222-2-222-1-1-1-11111-2-222-1-1-1-11111001111000000-1-1-1-10000-220000
χ132222-122-1-1-1-1-10000222222222222-1-1-1-1-1-1-1-1-1-1-1-122000022-1-1-1-10000-1-1-1-1000000
χ142222-122-1-1-1-1-10000222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2111100001111000000
χ152222-1-2-2-1-1-1110000-2-2222222-2-2-2-211-1-1-1-1-1-111112-200002-2-1-1110000-1-111000000
χ162222-1-2-2-1-1-1110000-2-2222222-2-2-2-211-1-1-1-1-1-11111-220000-2211-1-1000011-1-1000000
χ172-22-222i−2i-2-222i−2i00002i−2i2-222-2-22i2i−2i−2i2i−2i2-222-2-22i2i−2i−2i00000000000000000000000000
χ182-22-222i−2i-2-222i−2i00002i−2i2-2-1-111−i−iii2i−2i2-2-1-111−i−iii00−i3−i3i3i300000033−3−30000000000
χ192-22-222i−2i-2-222i−2i00002i−2i2-2-1-111−i−iii2i−2i2-2-1-111−i−iii00i3i3−i3−i3000000−3−3330000000000
χ202-22-22−2i2i-2-22−2i2i0000−2i2i2-222-2-2−2i−2i2i2i−2i2i2-222-2-2−2i−2i2i2i00000000000000000000000000
χ212-22-22−2i2i-2-22−2i2i0000−2i2i2-2-1-111ii−i−i−2i2i2-2-1-111ii−i−i00−i3−i3i3i3000000−3−3330000000000
χ222-22-22−2i2i-2-22−2i2i0000−2i2i2-2-1-111ii−i−i−2i2i2-2-1-111ii−i−i00i3i3−i3−i300000033−3−30000000000
χ232-22-2-12i−2i11-1−ii00002i−2i2-222-2-22i2i−2i−2i−ii-11-1-111−i−iii000000003−3−i3i300003−3−i3i3000000
χ242-22-2-12i−2i11-1−ii00002i−2i2-222-2-22i2i−2i−2i−ii-11-1-111−i−iii00000000−33i3−i30000−33i3−i3000000
χ252-22-2-1−2i2i11-1i−i0000−2i2i2-222-2-2−2i−2i2i2ii−i-11-1-111ii−i−i000000003−3i3−i300003−3i3−i3000000
χ262-22-2-1−2i2i11-1i−i0000−2i2i2-222-2-2−2i−2i2i2ii−i-11-1-111ii−i−i00000000−33−i3i30000−33−i3i3000000
χ273333333333333333-1-1-1-100000000-1-1-1-100000000110000-1-111110000-1-1-1-1-1-111-1-1
χ283333333333333333-1-1-1-100000000-1-1-1-100000000-1-1000011-1-1-1-100001111-1-1-1-111
χ29333333333333-3-3-3-3-1-1-1-100000000-1-1-1-100000000110000-1-111110000-1-1-1-111-1-111
χ30333333333333-3-3-3-3-1-1-1-100000000-1-1-1-100000000-1-1000011-1-1-1-1000011111111-1-1
χ3133333-3-3333-3-333-3-311-1-10000000011-1-1000000001-10000-1111-1-10000-1-111-111-1-11
χ3233333-3-3333-3-333-3-311-1-10000000011-1-100000000-1100001-1-1-111000011-1-1-11-111-1
χ3333333-3-3333-3-3-3-33311-1-10000000011-1-1000000001-10000-1111-1-10000-1-1111-1-111-1
χ3433333-3-3333-3-3-3-33311-1-10000000011-1-100000000-1100001-1-1-111000011-1-11-11-1-11
χ354444-244-2-2-2-2-200004444-2-2-2-2-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ364444-2-4-4-2-2-2220000-4-444-2-2-2-2222222-2-21111-1-1-1-100000000000000000000000000
χ3744-4-4400-44-4004-40000001-1-11−i3i3−i3i300001-1-11−i3i3−i3i3001-11-1000000−i3i3−i3i30000000000
χ3844-4-4400-44-4004-40000001-1-11i3−i3i3−i300001-1-11i3−i3i3−i3001-11-1000000i3−i3i3−i30000000000
χ3944-4-4400-44-4004-4000000-222-200000000-222-2000000-22-2200000000000000000000
χ4044-4-4400-44-400-440000001-1-11−i3i3−i3i300001-1-11−i3i3−i3i300-11-11000000i3−i3i3−i30000000000
χ4144-4-4400-44-400-440000001-1-11i3−i3i3−i300001-1-11i3−i3i3−i300-11-11000000−i3i3−i3i30000000000
χ4244-4-4400-44-400-44000000-222-200000000-222-20000002-22-200000000000000000000
χ434-44-4-24i−4i22-2−2i2i00004i−4i4-4-2-222−2i−2i2i2i−2i2i-2211-1-1ii−i−i00000000000000000000000000
χ444-44-4-2−4i4i22-22i−2i0000−4i4i4-4-2-2222i2i−2i−2i2i−2i-2211-1-1−i−iii00000000000000000000000000
χ454-4-444004-4-400004i−4i00001-11-13−3−3300001-11-13−3−3300−i3i3i3−i3000000i−i−ii0000000000
χ464-4-444004-4-400004i−4i00001-11-1−333−300001-11-1−333−300i3−i3−i3i3000000i−i−ii0000000000
χ474-4-444004-4-400004i−4i0000-22-2200000000-22-220000000000000000−2i2i2i−2i0000000000
χ484-4-444004-4-40000−4i4i00001-11-13−3−3300001-11-13−3−3300i3−i3−i3i3000000−iii−i0000000000
χ494-4-444004-4-40000−4i4i00001-11-1−333−300001-11-1−333−300−i3i3i3−i3000000−iii−i0000000000
χ504-4-444004-4-40000−4i4i0000-22-2200000000-22-2200000000000000002i−2i−2i2i0000000000
χ516666-366-3-3-3-3-30000-2-2-2-200000000111100000000220000-2-2-1-1-1-100001111000000
χ526666-366-3-3-3-3-30000-2-2-2-200000000111100000000-2-200002211110000-1-1-1-1000000
χ536666-3-6-6-3-3-333000022-2-200000000-1-111000000002-20000-22-1-111000011-1-1000000
χ546666-3-6-6-3-3-333000022-2-200000000-1-11100000000-2200002-211-1-10000-1-111000000
χ556-66-666i−6i-6-666i−6i0000−2i2i-2200000000−2i2i-220000000000000000000000000000000000
χ566-66-66−6i6i-6-66−6i6i00002i−2i-22000000002i−2i-220000000000000000000000000000000000
χ576-66-6-36i−6i33-3−3i3i0000−2i2i-2200000000i−i1-100000000000000003−3−i3i30000−33i3−i3000000
χ586-66-6-36i−6i33-3−3i3i0000−2i2i-2200000000i−i1-10000000000000000−33i3−i300003−3−i3i3000000
χ596-66-6-3−6i6i33-33i−3i00002i−2i-2200000000−ii1-100000000000000003−3i3−i30000−33−i3i3000000
χ606-66-6-3−6i6i33-33i−3i00002i−2i-2200000000−ii1-10000000000000000−33−i3i300003−3i3−i3000000
χ6188-8-8-4004-4400000000002-2-22−2i32i3−2i32i30000-111-1i3−i3i3−i300000000000000000000000000
χ6288-8-8-4004-4400000000002-2-222i3−2i32i3−2i30000-111-1−i3i3−i3i300000000000000000000000000
χ6388-8-8-4004-440000000000-444-4000000002-2-22000000000000000000000000000000
χ648-8-88-400-44400000000002-22-223−23−23230000-11-11−333−300000000000000000000000000
χ658-8-88-400-44400000000002-22-2−232323−230000-11-113−3−3300000000000000000000000000
χ668-8-88-400-4440000000000-44-44000000002-22-2000000000000000000000000000000

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