Finite Group Databasebeta

← Group #11921907

Character table — Group #11921907

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222233336666666666888812121212121212121212121212121212121212121212121212121616161616161616161636364848484872727272
order1222344666121212122222446666121212123666444444444412121212121212121212121212121212366612121212121244121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-111-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111
χ511111-1-1111-1-1-1-11111-1-11111-1-1-1-11111111-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-1111-11-1
χ611111-1-1111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-11-11
χ711111-1-1111-1-1-1-11111-1-11111-1-1-1-11111-1-1111-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-1-111-11-11
χ811111-1-1111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1111-1-11-11-1
χ92222222222222222222222222222-1-1-1-100200200000000000000000000-1-1-1-1-1-1-1-1-1-122-1-1-1-10000
χ102222222222222222222222222222-1-1-1-100-200-200000000000000000000-1-1-1-1-1-1-1-1-1-1-2-211110000
χ1122222-2-2222-2-2-2-22222-2-22222-2-2-2-2-1-1-1-100200-200000000000000000000-1-1-1-11111112-211-1-10000
χ1222222-2-2222-2-2-2-22222-2-22222-2-2-2-2-1-1-1-100-200200000000000000000000-1-1-1-1111111-22-1-1110000
χ132222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122222202202222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000000000
χ142222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12222-2-20-2-20-2-2-2-21111111111111111-1-1-1-122-1-1-1-10000000000
χ152222-1-2-2-1-1-111112222-2-2-1-1-1-111112222220-2-2022-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1-2-211110000000000
χ162222-1-2-2-1-1-111112222-2-2-1-1-1-111112222-2-20220-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-1-2-211110000000000
χ1722-2-2200-22-2000022-2-2002-22-2000022-2-22-200002-20022-2-2000022-2-2000022-2-20000000000000000
χ1822-2-2200-22-2000022-2-2002-22-2000022-2-2-220000-2200-2-2220000-2-222000022-2-20000000000000000
χ1922-2-2-1001-1133−3−322-2-200-11-1133−3−322-2-22-200002-200-1-11133−3−3-1-11133−3−3-1-1110033−3−30000000000
χ2022-2-2-1001-1133−3−322-2-200-11-1133−3−322-2-2-220000-220011-1-1−3−33311-1-1−3−333-1-1110033−3−30000000000
χ2122-2-2-1001-11−3−33322-2-200-11-11−3−33322-2-22-200002-200-1-111−3−333-1-111−3−333-1-11100−3−3330000000000
χ2222-2-2-1001-11−3−33322-2-200-11-11−3−33322-2-2-220000-220011-1-133−3−311-1-133−3−3-1-11100−3−3330000000000
χ232-22-22002-2-200002-22-20022-2-200002-2-220002i−2i0002i−2i00002i−2i2i−2i00002i−2i2i−2i2-2-220000000000000000
χ242-22-22002-2-200002-22-20022-2-200002-2-22000−2i2i000−2i2i0000−2i2i−2i2i0000−2i2i−2i2i2-2-220000000000000000
χ252-22-2-100-111−i3i3−i3i32-22-200-1-111−i3i3−i3i32-2-220002i−2i0002i−2i3−33−3−ii−ii3−33−3−ii−ii-111-100−i3i3−i3i30000000000
χ262-22-2-100-111−i3i3−i3i32-22-200-1-111−i3i3−i3i32-2-22000−2i2i000−2i2i−33−33i−ii−i−33−33i−ii−i-111-100−i3i3−i3i30000000000
χ272-22-2-100-111i3−i3i3−i32-22-200-1-111i3−i3i3−i32-2-220002i−2i0002i−2i−33−33−ii−ii−33−33−ii−ii-111-100i3−i3i3−i30000000000
χ282-22-2-100-111i3−i3i3−i32-22-200-1-111i3−i3i3−i32-2-22000−2i2i000−2i2i3−33−3i−ii−i3−33−3i−ii−i-111-100i3−i3i3−i30000000000
χ292-2-2222i−2i-2-222i−2i−2i2i2-2-222i−2i2-2-222i−2i−2i2i2-22-2000000000000000000000000002-22-22i−2i2i−2i−2i2i0000000000
χ302-2-2222i−2i-2-222i−2i−2i2i2-2-222i−2i2-2-222i−2i−2i2i-11-1100000000000000000000000000-11-11−ii−iii−i00−i3i33−30000
χ312-2-2222i−2i-2-222i−2i−2i2i2-2-222i−2i2-2-222i−2i−2i2i-11-1100000000000000000000000000-11-11−ii−iii−i00i3−i3−330000
χ322-2-222−2i2i-2-22−2i2i2i−2i2-2-22−2i2i2-2-22−2i2i2i−2i2-22-2000000000000000000000000002-22-2−2i2i−2i2i2i−2i0000000000
χ332-2-222−2i2i-2-22−2i2i2i−2i2-2-22−2i2i2-2-22−2i2i2i−2i-11-1100000000000000000000000000-11-11i−ii−i−ii00−i3i3−330000
χ342-2-222−2i2i-2-22−2i2i2i−2i2-2-22−2i2i2-2-22−2i2i2i−2i-11-1100000000000000000000000000-11-11i−ii−i−ii00i3−i33−30000
χ352-2-22-12i−2i11-1−iii−i2-2-222i−2i-111-1−iii−i2-22-200000000003−3−33i3−i3−i3i33−3−33i3−i3−i3i3-11-112i−2i−iii−i0000000000
χ362-2-22-12i−2i11-1−iii−i2-2-222i−2i-111-1−iii−i2-22-20000000000−333−3−i3i3i3−i3−333−3−i3i3i3−i3-11-112i−2i−iii−i0000000000
χ372-2-22-1−2i2i11-1i−i−ii2-2-22−2i2i-111-1i−i−ii2-22-200000000003−3−33−i3i3i3−i33−3−33−i3i3i3−i3-11-11−2i2ii−i−ii0000000000
χ382-2-22-1−2i2i11-1i−i−ii2-2-22−2i2i-111-1i−i−ii2-22-20000000000−333−3i3−i3−i3i3−333−3i3−i3−i3i3-11-11−2i2ii−i−ii0000000000
χ3933333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000113113-1-1-1-111111111-1-1-1-1-1-1-1-10000000000-1-1000011-1-1
χ4033333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1000011-311-3-1-1-1-111111111-1-1-1-1-1-1-1-10000000000110000-1-111
χ4133333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-13-1-131111-1-1-1-1-1-1-1-1111111110000000000-1-10000-1-111
χ4233333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-3-1-1-31111-1-1-1-1-1-1-1-111111111000000000011000011-1-1
χ4333333-3-3333-3-3-3-3-1-1-1-111-1-1-1-111110000113-1-1-3-1-1111111-1-1-1-1-1-1-1-111110000000000-1100001-1-11
χ4433333-3-3333-3-3-3-3-1-1-1-111-1-1-1-11111000011-3-1-13-1-1111111-1-1-1-1-1-1-1-1111100000000001-10000-111-1
χ4533333-3-3333-3-3-3-3-1-1-1-111-1-1-1-111110000-1-1311-311-1-1-1-1-1-111111111-1-1-1-10000000000-110000-111-1
χ4633333-3-3333-3-3-3-3-1-1-1-111-1-1-1-111110000-1-1-311311-1-1-1-1-1-111111111-1-1-1-100000000001-100001-1-11
χ474444-244-2-2-2-2-2-2-2444444-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000001111-2-211110000000000
χ484444-2-4-4-2-2-222224444-4-4-2-2-2-22222-2-2-2-200000000000000000000000000111122-1-1-1-10000000000
χ4944-4-4400-44-4000044-4-4004-44-40000-2-22200000000000000000000000000-2-2220000000000000000
χ5044-4-4-2002-222323−23−2344-4-400-22-222323−23−23-2-2220000000000000000000000000011-1-100−3−3330000000000
χ5144-4-4-2002-22−23−23232344-4-400-22-22−23−232323-2-2220000000000000000000000000011-1-10033−3−30000000000
χ524-44-44004-4-400004-44-40044-4-40000-222-200000000000000000000000000-222-20000000000000000
χ534-44-4-200-222−2i32i3−2i32i34-44-400-2-222−2i32i3−2i32i3-222-2000000000000000000000000001-1-1100i3−i3i3−i30000000000
χ544-44-4-200-2222i3−2i32i3−2i34-44-400-2-2222i3−2i32i3−2i3-222-2000000000000000000000000001-1-1100−i3i3−i3i30000000000
χ554-4-44-24i−4i22-2−2i2i2i−2i4-4-444i−4i-222-2−2i2i2i−2i-22-22000000000000000000000000001-11-1−2i2ii−i−ii0000000000
χ564-4-44-2−4i4i22-22i−2i−2i2i4-4-44−4i4i-222-22i−2i−2i2i-22-22000000000000000000000000001-11-12i−2i−iii−i0000000000
χ576666-366-3-3-3-3-3-3-3-2-2-2-2-2-2111111110000220220-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ586666-366-3-3-3-3-3-3-3-2-2-2-2-2-2111111110000-2-20-2-20222211111111-1-1-1-1-1-1-1-100000000000000000000
χ596666-3-6-6-3-3-33333-2-2-2-2221111-1-1-1-10000220-2-20-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ606666-3-6-6-3-3-33333-2-2-2-2221111-1-1-1-10000-2-2022022-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ6166-6-6600-66-60000-2-22200-22-22000000002-20000-220022-2-20000-2-222000000000000000000000000
χ6266-6-6600-66-60000-2-22200-22-2200000000-2200002-200-2-222000022-2-2000000000000000000000000
χ6366-6-6-3003-333333−33−33-2-222001-11-1−3−33300002-20000-2200-1-11133−3−311-1-1−3−33300000000000000000000
χ6466-6-6-3003-333333−33−33-2-222001-11-1−3−3330000-2200002-20011-1-1−3−333-1-11133−3−300000000000000000000
χ6566-6-6-3003-33−33−333333-2-222001-11-133−3−300002-20000-2200-1-111−3−33311-1-133−3−300000000000000000000
χ6666-6-6-3003-33−33−333333-2-222001-11-133−3−30000-2200002-20011-1-133−3−3-1-111−3−33300000000000000000000
χ676-66-66006-6-60000-22-2200-2-222000000000002i−2i000−2i2i00002i−2i2i−2i0000−2i2i−2i2i00000000000000000000
χ686-66-66006-6-60000-22-2200-2-22200000000000−2i2i0002i−2i0000−2i2i−2i2i00002i−2i2i−2i00000000000000000000
χ696-66-6-300-333−3i33i3−3i33i3-22-220011-1-1i3−i3i3−i300000002i−2i000−2i2i3−33−3−ii−ii−33−33i−ii−i00000000000000000000
χ706-66-6-300-333−3i33i3−3i33i3-22-220011-1-1i3−i3i3−i30000000−2i2i0002i−2i−33−33i−ii−i3−33−3−ii−ii00000000000000000000
χ716-66-6-300-3333i3−3i33i3−3i3-22-220011-1-1−i3i3−i3i300000002i−2i000−2i2i−33−33−ii−ii3−33−3i−ii−i00000000000000000000
χ726-66-6-300-3333i3−3i33i3−3i3-22-220011-1-1−i3i3−i3i30000000−2i2i0002i−2i3−33−3i−ii−i−33−33−ii−ii00000000000000000000
χ736-6-6666i−6i-6-666i−6i−6i6i-222-2−2i2i-222-2−2i2i2i−2i00000000000000000000000000000000000000000000000000
χ746-6-666−6i6i-6-66−6i6i6i−6i-222-22i−2i-222-22i−2i−2i2i00000000000000000000000000000000000000000000000000
χ756-6-66-36i−6i33-3−3i3i3i−3i-222-2−2i2i1-1-11i−i−ii000000000000003−3−33i3−i3−i3i3−333−3−i3i3i3−i300000000000000000000
χ766-6-66-36i−6i33-3−3i3i3i−3i-222-2−2i2i1-1-11i−i−ii00000000000000−333−3−i3i3i3−i33−3−33i3−i3−i3i300000000000000000000
χ776-6-66-3−6i6i33-33i−3i−3i3i-222-22i−2i1-1-11−iii−i000000000000003−3−33−i3i3i3−i3−333−3i3−i3−i3i300000000000000000000
χ786-6-66-3−6i6i33-33i−3i−3i3i-222-22i−2i1-1-11−iii−i00000000000000−333−3i3−i3−i3i33−3−33−i3i3i3−i300000000000000000000

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