Finite Group Databasebeta

← Group #11797829

Character table — Group #11797829

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order12224444443366666612121212121212121212121212121212888822224444666666661212121212121212881616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
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
χ51111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ81111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ911-1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−ii−i11-1-1ii−i−i
χ1011-1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-11-1-11i−i−ii11-1-1-1-111ii−i−i−i−iiii−i-1-111−i−iii
χ1111-1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1-111-1−iii−i-1-11111-1-1−i−iiiii−i−ii−i-1-111−i−iii
χ1211-1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iiii−i11-1-1ii−i−i
χ1311-1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii−ii11-1-1−i−iii
χ1411-1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-11-1-11−iii−i11-1-1-1-111−i−iiiii−i−i−ii-1-111ii−i−i
χ1511-1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii−ii-1-111ii−i−i
χ1611-1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i−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
χ2322-2-22i2i−2i−2i2-22222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-22i2i−2i−2i-2-222000000000000000000000000−2i2i00000000
χ2422-2-22i−2i−2i2i-222222-2-2-2-22i2i−2i−2i−2i−2i2i2i-2-2222i−2i−2i2i0000000000000000000000000000002−2−22i2−i2−i2i2
χ2522-2-22i−2i−2i2i-222222-2-2-2-22i2i−2i−2i−2i−2i2i2i-2-2222i−2i−2i2i000000000000000000000000000000−222−2−i2i2i2−i2
χ2622-2-2−2i2i2i−2i-222222-2-2-2-2−2i−2i2i2i2i2i−2i−2i-2-222−2i2i2i−2i0000000000000000000000000000002−2−22−i2i2i2−i2
χ2722-2-2−2i2i2i−2i-222222-2-2-2-2−2i−2i2i2i2i2i−2i−2i-2-222−2i2i2i−2i000000000000000000000000000000−222−2i2−i2−i2i2
χ2822-2-2−2i−2i2i2i2-22222-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-2−2i−2i2i2i-2-2220000000000000000000000002i−2i00000000
χ2944444444441-21-21-21-211-2-211-2-21-21-2-21-210000002200220000-1-1-1-10000-1-1-1-10000000000
χ3044444444441-21-21-21-211-2-211-2-21-21-2-21-21000000-2-200-2-200001111000011110000000000
χ314444444444-21-21-21-21-2-211-2-211-21-211-21-2000022002200-1-1-1-10000-1-1-1-100000000000000
χ324444444444-21-21-21-21-2-211-2-211-21-211-21-20000-2-200-2-20011110000111100000000000000
χ3344444-44-4-4-41-21-21-21-211221122-12-12-2-1-2-10000000000000000−i3i3−i3i30000−i3i3−i3i30000000000
χ3444444-44-4-4-41-21-21-21-211221122-12-12-2-1-2-10000000000000000i3−i3i3−i30000i3−i3i3−i30000000000
χ3544444-44-4-4-4-21-21-21-21-2-2-1-1-2-2-1-12-12-11212000000000000−i3i3−i3i30000−i3i3−i3i300000000000000
χ3644444-44-4-4-4-21-21-21-21-2-2-1-1-2-2-1-12-12-11212000000000000i3−i3i3−i30000i3−i3i3−i300000000000000
χ374444-44-44-4-41-21-21-21-2-1-1-2-2-1-1-2-2-12-1221210000000000000000−i3i3−i3i30000i3−i3i3−i30000000000
χ384444-44-44-4-41-21-21-21-2-1-1-2-2-1-1-2-2-12-1221210000000000000000i3−i3i3−i30000−i3i3−i3i30000000000
χ394444-44-44-4-4-21-21-21-21221122112-12-1-1-2-1-2000000000000−i3i3−i3i30000i3−i3i3−i300000000000000
χ404444-44-44-4-4-21-21-21-21221122112-12-1-1-2-1-2000000000000i3−i3i3−i30000−i3i3−i3i300000000000000
χ414444-4-4-4-4441-21-21-21-2-1-122-1-1221-21-22-12-10000002200-2-20000-1-1-1-1000011110000000000
χ424444-4-4-4-4441-21-21-21-2-1-122-1-1221-21-22-12-1000000-2-20022000011110000-1-1-1-10000000000
χ434444-4-4-4-444-21-21-21-2122-1-122-1-1-21-21-12-1200002200-2-200-1-1-1-10000111100000000000000
χ444444-4-4-4-444-21-21-21-2122-1-122-1-1-21-21-12-120000-2-200220011110000-1-1-1-100000000000000
χ4544-4-44i4i−4i−4i4-41-21-2-12-12ii−2i−2i−i−i2i2i1-2-12−2ii2i−i0000002-2002i−2i0000-1-1110000−i−iii0000000000
χ4644-4-44i4i−4i−4i4-41-21-2-12-12ii−2i−2i−i−i2i2i1-2-12−2ii2i−i000000-2200−2i2i000011-1-10000ii−i−i0000000000
χ4744-4-44i4i−4i−4i4-4-21-212-12-1−2i−2iii2i2i−i−i-212-1i−2i−i2i00002-2002i−2i00-1-1110000−i−iii00000000000000
χ4844-4-44i4i−4i−4i4-4-21-212-12-1−2i−2iii2i2i−i−i-212-1i−2i−i2i0000-2200−2i2i0011-1-10000ii−i−i00000000000000
χ4944-4-44i−4i−4i4i-441-21-2-12-12ii2i2i−i−i−2i−2i-121-2−2i−i2ii0000000000000000−i3i3i3−i300003−3−330000000000
χ5044-4-44i−4i−4i4i-441-21-2-12-12ii2i2i−i−i−2i−2i-121-2−2i−i2ii0000000000000000i3−i3−i3i30000−333−30000000000
χ5144-4-44i−4i−4i4i-44-21-212-12-1−2i−2i−i−i2i2iii2-1-21i2i−i−2i000000000000−i3i3i3−i300003−3−3300000000000000
χ5244-4-44i−4i−4i4i-44-21-212-12-1−2i−2i−i−i2i2iii2-1-21i2i−i−2i000000000000i3−i3−i3i30000−333−300000000000000
χ5344-4-4−4i4i4i−4i-441-21-2-12-12−i−i−2i−2iii2i2i-121-22ii−2i−i0000000000000000−i3i3i3−i30000−333−30000000000
χ5444-4-4−4i4i4i−4i-441-21-2-12-12−i−i−2i−2iii2i2i-121-22ii−2i−i0000000000000000i3−i3−i3i300003−3−330000000000
χ5544-4-4−4i4i4i−4i-44-21-212-12-12i2iii−2i−2i−i−i2-1-21−i−2ii2i000000000000−i3i3i3−i30000−333−300000000000000
χ5644-4-4−4i4i4i−4i-44-21-212-12-12i2iii−2i−2i−i−i2-1-21−i−2ii2i000000000000i3−i3−i3i300003−3−3300000000000000
χ5744-4-4−4i−4i4i4i4-41-21-2-12-12−i−i2i2iii−2i−2i1-2-122i−i−2ii0000002-200−2i2i0000-1-1110000ii−i−i0000000000
χ5844-4-4−4i−4i4i4i4-41-21-2-12-12−i−i2i2iii−2i−2i1-2-122i−i−2ii000000-22002i−2i000011-1-10000−i−iii0000000000
χ5944-4-4−4i−4i4i4i4-4-21-212-12-12i2i−i−i−2i−2iii-212-1−i2ii−2i00002-200−2i2i00-1-1110000ii−i−i00000000000000
χ6044-4-4−4i−4i4i4i4-4-21-212-12-12i2i−i−i−2i−2iii-212-1−i2ii−2i0000-22002i−2i0011-1-10000−i−iii00000000000000
χ614-44-400000044-4-4-444-4000000000000000022−2222−220000000000000000000000000000000000
χ624-44-400000044-4-4-444-40000000000000000−2222−22220000000000000000000000000000000000
χ634-4-4400000044-4-44-4-44000000000000000022−22−22220000000000000000000000000000000000
χ644-4-4400000044-4-44-4-440000000000000000−222222−220000000000000000000000000000000000
χ658-88-80000002-4-24-2-4246-6006-6000000000000000000000000000000000000000000000000
χ668-88-80000002-4-24-2-424-6600-66000000000000000000000000000000000000000000000000
χ678-88-8000000-424-242-4-2006i−6i006i−6i0000000000000000000000000000000000000000000000
χ688-88-8000000-424-242-4-200−6i6i00−6i6i0000000000000000000000000000000000000000000000
χ698-8-880000002-4-2424-2-46i−6i00−6i6i000000000000000000000000000000000000000000000000
χ708-8-880000002-4-2424-2-4−6i6i006i−6i000000000000000000000000000000000000000000000000
χ718-8-88000000-424-2-4-242006-600-660000000000000000000000000000000000000000000000
χ728-8-88000000-424-2-4-24200-66006-60000000000000000000000000000000000000000000000

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