Finite Group Databasebeta

← Group #11921908

Character table — Group #11921908

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222233336666666666888812121212121212121212121212121212121212121212121212121616161616161616161636364848484872727272
order1222344666121212122222446666121212123666444444444412121212121212121212121212121212366612121212121244121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ311111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
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
χ511111-1-1111-1-1-1-11111-1-11111-1-1-1-111111-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-1111-11-1
χ611111-1-1111-1-1-1-11111-1-11111-1-1-1-111111-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-1-111-11-11
χ711111-1-1111-1-1-1-11111-1-11111-1-1-1-11111-1111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-11-11
χ811111-1-1111-1-1-1-11111-1-11111-1-1-1-11111-11-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1111-1-11-11-1
χ92222222222222222222222222222-1-1-1-122000000000000000000000000-1-1-1-1-1-1-1-1-1-122-1-1-1-10000
χ102222222222222222222222222222-1-1-1-1-2-2000000000000000000000000-1-1-1-1-1-1-1-1-1-1-2-211110000
χ1122222-2-2222-2-2-2-22222-2-22222-2-2-2-2-1-1-1-12-2000000000000000000000000-1-1-1-11111112-211-1-10000
χ1222222-2-2222-2-2-2-22222-2-22222-2-2-2-2-1-1-1-1-22000000000000000000000000-1-1-1-1111111-22-1-1110000
χ132222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122220022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000000000
χ142222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222200-2-2-2-2-2-2-2-21111111111111111-1-1-1-122-1-1-1-10000000000
χ152222-1-2-2-1-1-111112222-2-2-1-1-1-1111122220022-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1-2-211110000000000
χ162222-1-2-2-1-1-111112222-2-2-1-1-1-11111222200-2-222-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-1-2-211110000000000
χ1722-2-22002-2-200002-22-20022-2-200002-2-2200002i−2i002i−2i00002i2i−2i−2i00002i2i−2i−2i2-2-220000000000000000
χ1822-2-22002-2-200002-22-20022-2-200002-2-220000−2i2i00−2i2i0000−2i−2i2i2i0000−2i−2i2i2i2-2-220000000000000000
χ1922-2-2-100-111−i3−i3i3i32-22-200-1-111−i3−i3i3i32-2-2200002i−2i002i−2i33−3−3−i−iii33−3−3−i−iii-111-100−i3−i3i3i30000000000
χ2022-2-2-100-111−i3−i3i3i32-22-200-1-111−i3−i3i3i32-2-220000−2i2i00−2i2i−3−333ii−i−i−3−333ii−i−i-111-100−i3−i3i3i30000000000
χ2122-2-2-100-111i3i3−i3−i32-22-200-1-111i3i3−i3−i32-2-2200002i−2i002i−2i−3−333−i−iii−3−333−i−iii-111-100i3i3−i3−i30000000000
χ2222-2-2-100-111i3i3−i3−i32-22-200-1-111i3i3−i3−i32-2-220000−2i2i00−2i2i33−3−3ii−i−i33−3−3ii−i−i-111-100i3i3−i3−i30000000000
χ232-22-222i−2i-22-22i−2i2i−2i-222-22i−2i2-22-22i−2i2i−2i2-22-20000000000000000000000000022-2-22i−2i2i−2i2i−2i0000000000
χ242-22-222i−2i-22-22i−2i2i−2i-222-22i−2i2-22-22i−2i2i−2i-11-1100000000000000000000000000-1-111−ii−ii−ii00−i3i33−30000
χ252-22-222i−2i-22-22i−2i2i−2i-222-22i−2i2-22-22i−2i2i−2i-11-1100000000000000000000000000-1-111−ii−ii−ii00i3−i3−330000
χ262-22-22−2i2i-22-2−2i2i−2i2i-222-2−2i2i2-22-2−2i2i−2i2i2-22-20000000000000000000000000022-2-2−2i2i−2i2i−2i2i0000000000
χ272-22-22−2i2i-22-2−2i2i−2i2i-222-2−2i2i2-22-2−2i2i−2i2i-11-1100000000000000000000000000-1-111i−ii−ii−i00−i3i3−330000
χ282-22-22−2i2i-22-2−2i2i−2i2i-222-2−2i2i2-22-2−2i2i−2i2i-11-1100000000000000000000000000-1-111i−ii−ii−i00i3−i33−30000
χ292-22-2-12i−2i1-11−ii−ii-222-22i−2i-11-11−ii−ii2-22-20000000000−i3i3−i3i33−33−3−i3i3−i3i33−33−3-1-1112i−2i−ii−ii0000000000
χ302-22-2-12i−2i1-11−ii−ii-222-22i−2i-11-11−ii−ii2-22-20000000000i3−i3i3−i3−33−33i3−i3i3−i3−33−33-1-1112i−2i−ii−ii0000000000
χ312-22-2-1−2i2i1-11i−ii−i-222-2−2i2i-11-11i−ii−i2-22-20000000000−i3i3−i3i3−33−33−i3i3−i3i3−33−33-1-111−2i2ii−ii−i0000000000
χ322-22-2-1−2i2i1-11i−ii−i-222-2−2i2i-11-11i−ii−i2-22-20000000000i3−i3i3−i33−33−3i3−i3i3−i33−33−3-1-111−2i2ii−ii−i0000000000
χ332-2-22200-2-220000-2-222002-2-22000022-2-2002i−2i002i−2i002i−2i−2i2i00002i−2i−2i2i00002-22-20000000000000000
χ342-2-22200-2-220000-2-222002-2-22000022-2-200−2i2i00−2i2i00−2i2i2i−2i0000−2i2i2i−2i00002-22-20000000000000000
χ352-2-22-10011-13−3−33-2-22200-111-13−3−3322-2-2002i−2i002i−2i00−iii−ii3−i3−i3i3−iii−ii3−i3−i3i3-11-11003−3−330000000000
χ362-2-22-10011-13−3−33-2-22200-111-13−3−3322-2-200−2i2i00−2i2i00i−i−ii−i3i3i3−i3i−i−ii−i3i3i3−i3-11-11003−3−330000000000
χ372-2-22-10011-1−333−3-2-22200-111-1−333−322-2-2002i−2i002i−2i00−iii−i−i3i3i3−i3−iii−i−i3i3i3−i3-11-1100−333−30000000000
χ382-2-22-10011-1−333−3-2-22200-111-1−333−322-2-200−2i2i00−2i2i00i−i−iii3−i3−i3i3i−i−iii3−i3−i3i3-11-1100−333−30000000000
χ3933333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000331111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000-1-1000011-1-1
χ4033333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1000033-1-1-1-11111-1-1-1-1-1-1-1-1111111110000000000-1-10000-1-111
χ4133333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-3-31111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000110000-1-111
χ4233333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-3-3-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000011000011-1-1
χ4333333-3-3333-3-3-3-3-1-1-1-111-1-1-1-1111100003-311-1-1-1-1111111-1-1-1-1-1-1-1-111110000000000-1100001-1-11
χ4433333-3-3333-3-3-3-3-1-1-1-111-1-1-1-1111100003-3-1-11111-1-1-1-1-1-111111111-1-1-1-10000000000-110000-111-1
χ4533333-3-3333-3-3-3-3-1-1-1-111-1-1-1-111110000-3311-1-1-1-1111111-1-1-1-1-1-1-1-1111100000000001-10000-111-1
χ4633333-3-3333-3-3-3-3-1-1-1-111-1-1-1-111110000-33-1-11111-1-1-1-1-1-111111111-1-1-1-100000000001-100001-1-11
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
χ4944-4-44004-4-400004-44-40044-4-40000-222-200000000000000000000000000-222-20000000000000000
χ5044-4-4-200-222−2i3−2i32i32i34-44-400-2-222−2i3−2i32i32i3-222-2000000000000000000000000001-1-1100i3i3−i3−i30000000000
χ5144-4-4-200-2222i32i3−2i3−2i34-44-400-2-2222i32i3−2i3−2i3-222-2000000000000000000000000001-1-1100−i3−i3i3i30000000000
χ524-44-4-24i−4i2-22−2i2i−2i2i-444-44i−4i-22-22−2i2i−2i2i-22-220000000000000000000000000011-1-1−2i2ii−ii−i0000000000
χ534-44-4-2−4i4i2-222i−2i2i−2i-444-4−4i4i-22-222i−2i2i−2i-22-220000000000000000000000000011-1-12i−2i−ii−ii0000000000
χ544-4-44400-4-440000-4-444004-4-440000-2-22200000000000000000000000000-22-220000000000000000
χ554-4-44-20022-223−23−2323-4-44400-222-223−23−2323-2-222000000000000000000000000001-11-100−333−30000000000
χ564-4-44-20022-2−232323−23-4-44400-222-2−232323−23-2-222000000000000000000000000001-11-1003−3−330000000000
χ576666-366-3-3-3-3-3-3-3-2-2-2-2-2-2111111110000002222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ586666-366-3-3-3-3-3-3-3-2-2-2-2-2-211111111000000-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ596666-3-6-6-3-3-33333-2-2-2-2221111-1-1-1-100000022-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ606666-3-6-6-3-3-33333-2-2-2-2221111-1-1-1-1000000-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ6166-6-66006-6-60000-22-2200-2-2220000000000002i−2i00−2i2i00002i2i−2i−2i0000−2i−2i2i2i00000000000000000000
χ6266-6-66006-6-60000-22-2200-2-222000000000000−2i2i002i−2i0000−2i−2i2i2i00002i2i−2i−2i00000000000000000000
χ6366-6-6-300-333−3i3−3i33i33i3-22-220011-1-1i3i3−i3−i3000000002i−2i00−2i2i33−3−3−i−iii−3−333ii−i−i00000000000000000000
χ6466-6-6-300-333−3i3−3i33i33i3-22-220011-1-1i3i3−i3−i300000000−2i2i002i−2i−3−333ii−i−i33−3−3−i−iii00000000000000000000
χ6566-6-6-300-3333i33i3−3i3−3i3-22-220011-1-1−i3−i3i3i3000000002i−2i00−2i2i−3−333−i−iii33−3−3ii−i−i00000000000000000000
χ6666-6-6-300-3333i33i3−3i3−3i3-22-220011-1-1−i3−i3i3i300000000−2i2i002i−2i33−3−3ii−i−i−3−333−i−iii00000000000000000000
χ676-66-666i−6i-66-66i−6i6i−6i2-2-22−2i2i-22-22−2i2i−2i2i00000000000000000000000000000000000000000000000000
χ686-66-66−6i6i-66-6−6i6i−6i6i2-2-222i−2i-22-222i−2i2i−2i00000000000000000000000000000000000000000000000000
χ696-66-6-36i−6i3-33−3i3i−3i3i2-2-22−2i2i1-11-1i−ii−i00000000000000−i3i3−i3i33−33−3i3−i3i3−i3−33−3300000000000000000000
χ706-66-6-36i−6i3-33−3i3i−3i3i2-2-22−2i2i1-11-1i−ii−i00000000000000i3−i3i3−i3−33−33−i3i3−i3i33−33−300000000000000000000
χ716-66-6-3−6i6i3-333i−3i3i−3i2-2-222i−2i1-11-1−ii−ii00000000000000−i3i3−i3i3−33−33i3−i3i3−i33−33−300000000000000000000
χ726-66-6-3−6i6i3-333i−3i3i−3i2-2-222i−2i1-11-1−ii−ii00000000000000i3−i3i3−i33−33−3−i3i3−i3i3−33−3300000000000000000000
χ736-6-66600-6-66000022-2-200-222-200000000002i−2i00−2i2i002i−2i−2i2i0000−2i2i2i−2i000000000000000000000000
χ746-6-66600-6-66000022-2-200-222-20000000000−2i2i002i−2i00−2i2i2i−2i00002i−2i−2i2i000000000000000000000000
χ756-6-66-30033-333−33−333322-2-2001-1-11−333−30000002i−2i00−2i2i00−iii−ii3−i3−i3i3i−i−ii−i3i3i3−i300000000000000000000
χ766-6-66-30033-333−33−333322-2-2001-1-11−333−3000000−2i2i002i−2i00i−i−ii−i3i3i3−i3−iii−ii3−i3−i3i300000000000000000000
χ776-6-66-30033-3−333333−3322-2-2001-1-113−3−330000002i−2i00−2i2i00−iii−i−i3i3i3−i3i−i−iii3−i3−i3i300000000000000000000
χ786-6-66-30033-3−333333−3322-2-2001-1-113−3−33000000−2i2i002i−2i00i−i−iii3−i3−i3i3−iii−i−i3i3i3−i300000000000000000000

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