Finite Group Databasebeta

← Group #11797798

Character table — Group #11797798

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order1222444444336666661212121212121212121212121212121288884444444412121212121212121212121212121212881616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ81111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ91-1-11ii−i−i1-111-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1i−ii−i1-11-1ii−i−i11-1-1ii−i−i11-1-1i−i11-1-1ii−i−i
χ101-1-11ii−i−i1-111-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1i−i−ii1-1-11ii−i−i11-1-1−i−iii-1-111i−i-1-111−i−iii
χ111-1-11ii−i−i1-111-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1−iii−i-111-1−i−iii-1-111ii−i−i11-1-1i−i-1-111−i−iii
χ121-1-11ii−i−i1-111-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1−ii−ii-11-11−i−iii-1-111−i−iii-1-111i−i11-1-1ii−i−i
χ131-1-11−i−iii1-111-1-111-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1i−ii−i-11-11ii−i−i-1-111ii−i−i-1-111−ii11-1-1−i−iii
χ141-1-11−i−iii1-111-1-111-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1i−i−ii-111-1ii−i−i-1-111−i−iii11-1-1−ii-1-111ii−i−i
χ151-1-11−i−iii1-111-1-111-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−iii−i1-1-11−i−iii11-1-1ii−i−i-1-111−ii-1-111ii−i−i
χ161-1-11−i−iii1-111-1-111-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−ii−ii1-11-1−i−iii11-1-1−i−iii11-1-1−ii11-1-1−i−iii
χ172222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ1822222-22-2-2-22222222222-2-222-2-2-2-2-2-22-22-20000000000000000000000000000002−22−22−22−2
χ1922222-22-2-2-22222222222-2-222-2-2-2-2-2-22-22-2000000000000000000000000000000−22−22−22−22
χ202222-22-22-2-222222222-2-222-2-222-2-2-2-2-22-220000000000000000000000000000002−22−2−22−22
χ212222-22-22-2-222222222-2-222-2-222-2-2-2-2-22-22000000000000000000000000000000−22−222−22−2
χ222222-2-2-2-22222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ232-2-222i2i−2i−2i2-222-2-222-2-22i2i2i2i−2i−2i−2i−2i22-2-22i2i−2i−2i-2-222000000000000000000000000−2i2i00000000
χ242-2-222i−2i−2i2i-2222-2-222-2-22i2i−2i−2i−2i−2i2i2i-2-2222i−2i−2i2i0000000000000000000000000000002−2−22i2−i2−i2i2
χ252-2-222i−2i−2i2i-2222-2-222-2-22i2i−2i−2i−2i−2i2i2i-2-2222i−2i−2i2i000000000000000000000000000000−222−2−i2i2i2−i2
χ262-2-22−2i2i2i−2i-2222-2-222-2-2−2i−2i2i2i2i2i−2i−2i-2-222−2i2i2i−2i0000000000000000000000000000002−2−22−i2i2i2−i2
χ272-2-22−2i2i2i−2i-2222-2-222-2-2−2i−2i2i2i2i2i−2i−2i-2-222−2i2i2i−2i000000000000000000000000000000−222−2i2−i2−i2i2
χ282-2-22−2i−2i2i2i2-222-2-222-2-2−2i−2i−2i−2i2i2i2i2i22-2-2−2i−2i2i2i-2-2220000000000000000000000002i−2i00000000
χ2944444444441-21-21-21-211-2-211-2-21-21-2-21-2100000022002200000000-1-1-1-1-1-1-1-10000000000
χ3044444444441-21-21-21-211-2-211-2-21-21-2-21-21000000-2-200-2-200000000111111110000000000
χ314444444444-21-21-21-21-2-211-2-211-21-211-21-2000022002200-1-1-1-1-1-1-1-1000000000000000000
χ324444444444-21-21-21-21-2-211-2-211-21-211-21-20000-2-200-2-20011111111000000000000000000
χ3344444-44-4-4-41-21-21-21-211221122-12-12-2-1-2-100000000000000000000−i3i3−i3i3−i3i3−i3i30000000000
χ3444444-44-4-4-41-21-21-21-211221122-12-12-2-1-2-100000000000000000000i3−i3i3−i3i3−i3i3−i30000000000
χ3544444-44-4-4-4-21-21-21-21-2-2-1-1-2-2-1-12-12-11212000000000000−i3i3−i3i3−i3i3−i3i3000000000000000000
χ3644444-44-4-4-4-21-21-21-21-2-2-1-1-2-2-1-12-12-11212000000000000i3−i3i3−i3i3−i3i3−i3000000000000000000
χ374444-44-44-4-41-21-21-21-2-1-1-2-2-1-1-2-2-12-12212100000000000000000000−i3i3−i3i3i3−i3i3−i30000000000
χ384444-44-44-4-41-21-21-21-2-1-1-2-2-1-1-2-2-12-12212100000000000000000000i3−i3i3−i3−i3i3−i3i30000000000
χ394444-44-44-4-4-21-21-21-21221122112-12-1-1-2-1-2000000000000−i3i3−i3i3i3−i3i3−i3000000000000000000
χ404444-44-44-4-4-21-21-21-21221122112-12-1-1-2-1-2000000000000i3−i3i3−i3−i3i3−i3i3000000000000000000
χ414444-4-4-4-4441-21-21-21-2-1-122-1-1221-21-22-12-10000002200-2-200000000-1-1-1-111110000000000
χ424444-4-4-4-4441-21-21-21-2-1-122-1-1221-21-22-12-1000000-2-20022000000001111-1-1-1-10000000000
χ434444-4-4-4-444-21-21-21-2122-1-122-1-1-21-21-12-1200002200-2-200-1-1-1-11111000000000000000000
χ444444-4-4-4-444-21-21-21-2122-1-122-1-1-21-21-12-120000-2-20022001111-1-1-1-1000000000000000000
χ4544-4-4000000444-4-4-4-44000000000000000022−2222−220000000000000000000000000000000000
χ4644-4-4000000444-4-4-4-440000000000000000−2222−22220000000000000000000000000000000000
χ474-44-400000044-44-4-44-4000000000000000022−22−22220000000000000000000000000000000000
χ484-44-400000044-44-4-44-40000000000000000−222222−220000000000000000000000000000000000
χ494-4-444i4i−4i−4i4-41-2-121-2-12ii−2i−2i−i−i2i2i1-2-12−2ii2i−i0000002i−2i002-200000000−i−iii-1-1110000000000
χ504-4-444i4i−4i−4i4-41-2-121-2-12ii−2i−2i−i−i2i2i1-2-12−2ii2i−i000000−2i2i00-2200000000ii−i−i11-1-10000000000
χ514-4-444i4i−4i−4i4-4-212-1-212-1−2i−2iii2i2i−i−i-212-1i−2i−i2i00002i−2i002-200−i−iii-1-111000000000000000000
χ524-4-444i4i−4i−4i4-4-212-1-212-1−2i−2iii2i2i−i−i-212-1i−2i−i2i0000−2i2i00-2200ii−i−i11-1-1000000000000000000
χ534-4-444i−4i−4i4i-441-2-121-2-12ii2i2i−i−i−2i−2i-121-2−2i−i2ii000000000000000000003−3−33−i3i3i3−i30000000000
χ544-4-444i−4i−4i4i-441-2-121-2-12ii2i2i−i−i−2i−2i-121-2−2i−i2ii00000000000000000000−333−3i3−i3−i3i30000000000
χ554-4-444i−4i−4i4i-44-212-1-212-1−2i−2i−i−i2i2iii2-1-21i2i−i−2i0000000000003−3−33−i3i3i3−i3000000000000000000
χ564-4-444i−4i−4i4i-44-212-1-212-1−2i−2i−i−i2i2iii2-1-21i2i−i−2i000000000000−333−3i3−i3−i3i3000000000000000000
χ574-4-44−4i4i4i−4i-441-2-121-2-12−i−i−2i−2iii2i2i-121-22ii−2i−i000000000000000000003−3−33i3−i3−i3i30000000000
χ584-4-44−4i4i4i−4i-441-2-121-2-12−i−i−2i−2iii2i2i-121-22ii−2i−i00000000000000000000−333−3−i3i3i3−i30000000000
χ594-4-44−4i4i4i−4i-44-212-1-212-12i2iii−2i−2i−i−i2-1-21−i−2ii2i0000000000003−3−33i3−i3−i3i3000000000000000000
χ604-4-44−4i4i4i−4i-44-212-1-212-12i2iii−2i−2i−i−i2-1-21−i−2ii2i000000000000−333−3−i3i3i3−i3000000000000000000
χ614-4-44−4i−4i4i4i4-41-2-121-2-12−i−i2i2iii−2i−2i1-2-122i−i−2ii0000002i−2i00-2200000000−i−iii11-1-10000000000
χ624-4-44−4i−4i4i4i4-41-2-121-2-12−i−i2i2iii−2i−2i1-2-122i−i−2ii000000−2i2i002-200000000ii−i−i-1-1110000000000
χ634-4-44−4i−4i4i4i4-4-212-1-212-12i2i−i−i−2i−2iii-212-1−i2ii−2i00002i−2i00-2200−i−iii11-1-1000000000000000000
χ644-4-44−4i−4i4i4i4-4-212-1-212-12i2i−i−i−2i−2iii-212-1−i2ii−2i0000−2i2i002-200ii−i−i-1-111000000000000000000
χ6588-8-80000002-424-24-2-46-6006-6000000000000000000000000000000000000000000000000
χ6688-8-80000002-424-24-2-4-6600-66000000000000000000000000000000000000000000000000
χ6788-8-8000000-42-4-24-242006i−6i006i−6i0000000000000000000000000000000000000000000000
χ6888-8-8000000-42-4-24-24200−6i6i00−6i6i0000000000000000000000000000000000000000000000
χ698-88-80000002-4-2-4-24246i−6i00−6i6i000000000000000000000000000000000000000000000000
χ708-88-80000002-4-2-4-2424−6i6i006i−6i000000000000000000000000000000000000000000000000
χ718-88-8000000-42424-2-4-2006-600-660000000000000000000000000000000000000000000000
χ728-88-8000000-42424-2-4-200-66006-60000000000000000000000000000000000000000000000

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