Finite Group Databasebeta

← Group #11797767

Character table — Group #11797767

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order122244444433666666121212121212121212121212121212128888224444446666121212121212121212121212881616161616161616
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
χ51111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ81111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ91-11-1i−ii−i1-111-11-11-1-1ii−i−iii−i−i1-1i−i1-1i−i11-1-11-11-1i−ii−i11-1-1ii−i−i11-1-1ii−i−ii−i11-1-1ii−i−i
χ101-11-1i−ii−i1-111-11-11-1-1ii−i−iii−i−i1-1i−i1-1i−i11-1-11-1-11i−i−ii11-1-1ii−i−i-1-111−i−iiii−i-1-111−i−iii
χ111-11-1i−ii−i1-111-11-11-1-1ii−i−iii−i−i1-1i−i1-1i−i11-1-1-111-1−iii−i-1-111−i−iii11-1-1ii−i−ii−i-1-111−i−iii
χ121-11-1i−ii−i1-111-11-11-1-1ii−i−iii−i−i1-1i−i1-1i−i11-1-1-11-11−ii−ii-1-111−i−iii-1-111−i−iiii−i11-1-1ii−i−i
χ131-11-1−ii−ii1-111-11-11-1-1−i−iii−i−iii1-1−ii1-1−ii11-1-11-11-1−ii−ii11-1-1−i−iii11-1-1−i−iii−ii11-1-1−i−iii
χ141-11-1−ii−ii1-111-11-11-1-1−i−iii−i−iii1-1−ii1-1−ii11-1-11-1-11−iii−i11-1-1−i−iii-1-111ii−i−i−ii-1-111ii−i−i
χ151-11-1−ii−ii1-111-11-11-1-1−i−iii−i−iii1-1−ii1-1−ii11-1-1-111-1i−i−ii-1-111ii−i−i11-1-1−i−iii−ii-1-111ii−i−i
χ161-11-1−ii−ii1-111-11-11-1-1−i−iii−i−iii1-1−ii1-1−ii11-1-1-11-11i−ii−i-1-111ii−i−i-1-111ii−i−i−ii11-1-1−i−iii
χ172222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-222-2-2-2-20000000000000000000000000000002−22−22−22−2
χ19222222-2-2-2-2222222222222-2-2-2-2-2-222-2-2-2-2000000000000000000000000000000−22−22−22−22
χ202222-2-222-2-222222222-2-2-2-22222-2-2-2-2-2-2220000000000000000000000000000002−22−2−22−22
χ212222-2-222-2-222222222-2-2-2-22222-2-2-2-2-2-222000000000000000000000000000000−22−222−22−2
χ222222-2-2-2-22222222222-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-20000000000000000000000002200000000
χ232-22-22i−2i2i−2i2-222-22-22-2-22i2i−2i−2i2i2i−2i−2i2-22i−2i2-22i−2i-2-222000000000000000000000000−2i2i00000000
χ242-22-22i−2i−2i2i-2222-22-22-2-22i2i−2i−2i−2i−2i2i2i-222i−2i-22−2i2i0000000000000000000000000000002−2−22i2−i2−i2i2
χ252-22-22i−2i−2i2i-2222-22-22-2-22i2i−2i−2i−2i−2i2i2i-222i−2i-22−2i2i000000000000000000000000000000−222−2−i2i2i2−i2
χ262-22-2−2i2i2i−2i-2222-22-22-2-2−2i−2i2i2i2i2i−2i−2i-22−2i2i-222i−2i0000000000000000000000000000002−2−22−i2i2i2−i2
χ272-22-2−2i2i2i−2i-2222-22-22-2-2−2i−2i2i2i2i2i−2i−2i-22−2i2i-222i−2i000000000000000000000000000000−222−2i2−i2−i2i2
χ282-22-2−2i2i−2i2i2-222-22-22-2-2−2i−2i2i2i−2i−2i2i2i2-2−2i2i2-2−2i2i-2-2220000000000000000000000002i−2i00000000
χ2944444444441-21-2-211-21111-2-2-2-2-2-2-2-2111100000022002200000000-1-1-1-1-1-1-1-10000000000
χ3044444444441-21-2-211-21111-2-2-2-2-2-2-2-21111000000-2-200-2-200000000111111110000000000
χ314444444444-21-211-2-21-2-2-2-211111111-2-2-2-2000022002200-1-1-1-1-1-1-1-1000000000000000000
χ324444444444-21-211-2-21-2-2-2-211111111-2-2-2-20000-2-200-2-20011111111000000000000000000
χ33444444-4-4-4-41-21-2-211-21111222222-2-2-1-1-1-100000000000000000000−i3i3−i3i3−i3i3−i3i30000000000
χ34444444-4-4-4-41-21-2-211-21111222222-2-2-1-1-1-100000000000000000000i3−i3i3−i3i3−i3i3−i30000000000
χ35444444-4-4-4-4-21-211-2-21-2-2-2-2-1-1-1-1-1-1112222000000000000−i3i3−i3i3−i3i3−i3i3000000000000000000
χ36444444-4-4-4-4-21-211-2-21-2-2-2-2-1-1-1-1-1-1112222000000000000i3−i3i3−i3i3−i3i3−i3000000000000000000
χ374444-4-444-4-41-21-2-211-2-1-1-1-1-2-2-2-22222-1-11100000000000000000000−i3i3−i3i3i3−i3i3−i30000000000
χ384444-4-444-4-41-21-2-211-2-1-1-1-1-2-2-2-22222-1-11100000000000000000000i3−i3i3−i3−i3i3−i3i30000000000
χ394444-4-444-4-4-21-211-2-2122221111-1-1-1-122-2-2000000000000−i3i3−i3i3i3−i3i3−i3000000000000000000
χ404444-4-444-4-4-21-211-2-2122221111-1-1-1-122-2-2000000000000i3−i3i3−i3−i3i3−i3i3000000000000000000
χ414444-4-4-4-4441-21-2-211-2-1-1-1-12222-2-22211-1-10000002200-2-200000000-1-1-1-111110000000000
χ424444-4-4-4-4441-21-2-211-2-1-1-1-12222-2-22211-1-1000000-2-20022000000001111-1-1-1-10000000000
χ434444-4-4-4-444-21-211-2-212222-1-1-1-111-1-1-2-22200002200-2-200-1-1-1-11111000000000000000000
χ444444-4-4-4-444-21-211-2-212222-1-1-1-111-1-1-2-2220000-2-20022001111-1-1-1-1000000000000000000
χ4544-4-4000000444-44-4-4-4000000000000000022−2222−220000000000000000000000000000000000
χ4644-4-4000000444-44-4-4-40000000000000000−2222−22220000000000000000000000000000000000
χ474-44-44i−4i4i−4i4-41-2-1-221-12ii−i−i−2i−2i2i2i-22−2i2i1-1i−i0000002-2002i−2i00000000-1-111−i−iii0000000000
χ484-44-44i−4i4i−4i4-41-2-1-221-12ii−i−i−2i−2i2i2i-22−2i2i1-1i−i000000-2200−2i2i0000000011-1-1ii−i−i0000000000
χ494-44-44i−4i4i−4i4-4-2121-1-22-1−2i−2i2i2iii−i−i1-1i−i-22−2i2i00002-2002i−2i00-1-111−i−iii000000000000000000
χ504-44-44i−4i4i−4i4-4-2121-1-22-1−2i−2i2i2iii−i−i1-1i−i-22−2i2i0000-2200−2i2i0011-1-1ii−i−i000000000000000000
χ514-44-44i−4i−4i4i-441-2-1-221-12ii−i−i2i2i−2i−2i2-2−2i2i-11−ii00000000000000000000−i3i3i3−i33−3−330000000000
χ524-44-44i−4i−4i4i-441-2-1-221-12ii−i−i2i2i−2i−2i2-2−2i2i-11−ii00000000000000000000i3−i3−i3i3−333−30000000000
χ534-44-44i−4i−4i4i-44-2121-1-22-1−2i−2i2i2i−i−iii-11i−i2-22i−2i000000000000−i3i3i3−i33−3−33000000000000000000
χ544-44-44i−4i−4i4i-44-2121-1-22-1−2i−2i2i2i−i−iii-11i−i2-22i−2i000000000000i3−i3−i3i3−333−3000000000000000000
χ554-44-4−4i4i4i−4i-441-2-1-221-12−i−iii−2i−2i2i2i2-22i−2i-11i−i00000000000000000000−i3i3i3−i3−333−30000000000
χ564-44-4−4i4i4i−4i-441-2-1-221-12−i−iii−2i−2i2i2i2-22i−2i-11i−i00000000000000000000i3−i3−i3i33−3−330000000000
χ574-44-4−4i4i4i−4i-44-2121-1-22-12i2i−2i−2iii−i−i-11−ii2-2−2i2i000000000000−i3i3i3−i3−333−3000000000000000000
χ584-44-4−4i4i4i−4i-44-2121-1-22-12i2i−2i−2iii−i−i-11−ii2-2−2i2i000000000000i3−i3−i3i33−3−33000000000000000000
χ594-44-4−4i4i−4i4i4-41-2-1-221-12−i−iii2i2i−2i−2i-222i−2i1-1−ii0000002-200−2i2i00000000-1-111ii−i−i0000000000
χ604-44-4−4i4i−4i4i4-41-2-1-221-12−i−iii2i2i−2i−2i-222i−2i1-1−ii000000-22002i−2i0000000011-1-1−i−iii0000000000
χ614-44-4−4i4i−4i4i4-4-2121-1-22-12i2i−2i−2i−i−iii1-1−ii-222i−2i00002-200−2i2i00-1-111ii−i−i000000000000000000
χ624-44-4−4i4i−4i4i4-4-2121-1-22-12i2i−2i−2i−i−iii1-1−ii-222i−2i0000-22002i−2i0011-1-1−i−iii000000000000000000
χ634-4-4400000044-4-4-4-444000000000000000022−22−22220000000000000000000000000000000000
χ644-4-4400000044-4-4-4-4440000000000000000−222222−220000000000000000000000000000000000
χ6588-8-80000002-424-4-2-246-66-600000000000000000000000000000000000000000000000000
χ6688-8-80000002-424-4-2-24-66-6600000000000000000000000000000000000000000000000000
χ6788-8-8000000-42-4-2244-200006i−6i6i−6i0000000000000000000000000000000000000000000000
χ6888-8-8000000-42-4-2244-20000−6i6i−6i6i0000000000000000000000000000000000000000000000
χ698-8-880000002-4-244-22-46i−6i−6i6i00000000000000000000000000000000000000000000000000
χ708-8-880000002-4-244-22-4−6i6i6i−6i00000000000000000000000000000000000000000000000000
χ718-8-88000000-424-2-24-4200006-6-660000000000000000000000000000000000000000000000
χ728-8-88000000-424-2-24-420000-666-60000000000000000000000000000000000000000000000

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