Finite Group Databasebeta

← Group #11772445

Character table — Group #11772445

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order124422244433666666121212121212121266661212121288884444444412121212121212121212121212121212881616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
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
χ511111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-11111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-1-1
χ611111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-11111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-11111
χ711111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-11111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-11111
χ811111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-11111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-1-1
χ911-1-1-11-11-11111111-1-1-1-1-1-111-1-1-1-11-1111-111-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-1ii−i−iii−i−i
χ1011-1-1-11-11-11111111-1-1-1-1-1-111-1-1-1-11-1111-111-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1-1−i−iii−i−iii
χ1111-1-1-11-11-11111111-1-1-1-1-1-111-1-1-1-11-1111-111-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i1-1−i−iii−i−iii
χ1211-1-1-11-11-11111111-1-1-1-1-1-111-1-1-1-11-1111-111-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iii1-1ii−i−iii−i−i
χ1311-1-1-1-11-1111111-1-111-1-1-1-1-1-111-1-1-1111-1111-1-1i−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111-11−i−iiiii−i−i
χ1411-1-1-1-11-1111111-1-111-1-1-1-1-1-111-1-1-1111-1111-1-1i−i−ii-111-1ii−i−i−i−iii-1-11111-1-1-11ii−i−i−i−iii
χ1511-1-1-1-11-1111111-1-111-1-1-1-1-1-111-1-1-1111-1111-1-1−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111-11ii−i−i−i−iii
χ1611-1-1-1-11-1111111-1-111-1-1-1-1-1-111-1-1-1111-1111-1-1−iii−i-111-1−i−iiiii−i−i-1-11111-1-1-11−i−iiiii−i−i
χ172222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ1822222-2-2-2-222222-2-2-2-22222-2-2-2-222-2-222-2-2-2-2-2-20000000000000000000000002200000000
χ192222-22-2-22-2222222-2-22222-2-222-2-22-2-2-2-22000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ202222-22-2-22-2222222-2-22222-2-222-2-22-2-2-2-22000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ212222-2-222-2-22222-2-222222222-2-2-2-2-22-2-22-2000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ222222-2-222-2-22222-2-222222222-2-2-2-2-22-2-22-2000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ2322-2-2222-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000002−2−222−2−22
χ2422-2-2222-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000−222−2−222−2
χ2522-2-22-2-222-22222-2-2-2-2-2-2-2-2222222-2-2-2-2220000000000000000000000000000002−2−22−222−2
χ2622-2-22-2-222-22222-2-2-2-2-2-2-2-2222222-2-2-2-222000000000000000000000000000000−222−22−2−22
χ2722-2-2-22-22-22222222-2-2-2-2-2-222-2-2-2-22-2222-2-2-222000000000000000000000000-2200000000
χ2822-2-2-2-22-2222222-2-222-2-2-2-2-2-222-2-2-2222-22-2-2220000000000000000000000002-200000000
χ2944444444441-21-211-2-211-2-2-2-2111-2-211-21-2000022220000-1-1-1-1-1-1-1-1000000000000000000
χ3044444444441-21-211-2-211-2-2-2-2111-2-211-21-20000-2-2-2-2000011111111000000000000000000
χ314444444444-21-21-2-211-2-21111-2-2-211-2-21-2100000000222200000000-1-1-1-1-1-1-1-10000000000
χ324444444444-21-21-2-211-2-21111-2-2-211-2-21-2100000000-2-2-2-200000000111111110000000000
χ3344444-4-4-4-441-21-2-1-12211-2-222-1-11-22-11-2-1200002i2i−2i−2i0000−i−i−i−iiiii000000000000000000
χ3444444-4-4-4-441-21-2-1-12211-2-222-1-11-22-11-2-120000−2i−2i2i2i0000iiii−i−i−i−i000000000000000000
χ3544444-4-4-4-44-21-2122-1-1-2-211-1-122-21-12-212-1000000002i2i−2i−2i00000000−i−i−i−iiiii0000000000
χ3644444-4-4-4-44-21-2122-1-1-2-211-1-122-21-12-212-100000000−2i−2i2i2i00000000iiii−i−i−i−i0000000000
χ374444-44-4-44-41-21-2112211-2-22211-12-2-1-12-1-2000000000000−i3i3−i3i3−i3i3−i3i3000000000000000000
χ384444-44-4-44-41-21-2112211-2-22211-12-2-1-12-1-2000000000000i3−i3i3−i3i3−i3i3−i3000000000000000000
χ394444-44-4-44-4-21-21-2-2-1-1-2-211-1-1-2-22-1122-121000000000000000000003−33−33−33−30000000000
χ404444-44-4-44-4-21-21-2-2-1-1-2-211-1-1-2-22-1122-12100000000000000000000−33−33−33−330000000000
χ414444-4-444-4-41-21-2-1-1-2-211-2-2-2-2-1-1-1221-12120000000000003−33−3−33−33000000000000000000
χ424444-4-444-4-41-21-2-1-1-2-211-2-2-2-2-1-1-1221-1212000000000000−33−333−33−3000000000000000000
χ434444-4-444-4-4-21-212211-2-21111222-1-1-22-1-2-100000000000000000000−i3i3−i3i3i3−i3i3−i30000000000
χ444444-4-444-4-4-21-212211-2-21111222-1-1-22-1-2-100000000000000000000i3−i3i3−i3−i3i3−i3i30000000000
χ4544-4-4444-4-4-41-21-211-2-2-1-12222-1-11-2-21-12-12000000000000−i3i3i3−i3−i3i3i3−i3000000000000000000
χ4644-4-4444-4-4-41-21-211-2-2-1-12222-1-11-2-21-12-12000000000000i3−i3−i3i3i3−i3−i3i3000000000000000000
χ4744-4-4444-4-4-4-21-21-2-21122-1-1-1-122-211-22-12-100000000000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ4844-4-4444-4-4-4-21-21-2-21122-1-1-1-122-211-22-12-100000000000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ4944-4-44-4-444-41-21-2-1-122-1-122-2-2111-22-1-121-20000000000003−3−33−333−3000000000000000000
χ5044-4-44-4-444-41-21-2-1-122-1-122-2-2111-22-1-121-2000000000000−333−33−3−33000000000000000000
χ5144-4-44-4-444-4-21-2122-1-122-1-111-2-2-21-122-1-21000000000000000000003−3−33−333−30000000000
χ5244-4-44-4-444-4-21-2122-1-122-1-111-2-2-21-122-1-2100000000000000000000−333−33−3−330000000000
χ5344-4-4-44-44-441-21-21122-1-122-2-2-1-1-12-2-11-21200002-22-20000-1-111-1-111000000000000000000
χ5444-4-4-44-44-441-21-21122-1-122-2-2-1-1-12-2-11-2120000-22-22000011-1-111-1-1000000000000000000
χ5544-4-4-44-44-44-21-21-2-2-1-122-1-111222-112-21-2-1000000002i−2i2i−2i00000000−i−iii−i−iii0000000000
χ5644-4-4-44-44-44-21-21-2-2-1-122-1-111222-112-21-2-100000000−2i2i−2i2i00000000ii−i−iii−i−i0000000000
χ5744-4-4-4-44-4441-21-2-1-1-2-2-1-1222211-12211-2-1-200002i−2i−2i2i0000−i−iiiii−i−i000000000000000000
χ5844-4-4-4-44-4441-21-2-1-1-2-2-1-1222211-12211-2-1-20000−2i2i2i−2i0000ii−i−i−i−iii000000000000000000
χ5944-4-4-4-44-444-21-21221122-1-1-1-1-2-22-1-1-2-2121000000002-2-2200000000-1-11111-1-10000000000
χ6044-4-4-4-44-444-21-21221122-1-1-1-1-2-22-1-1-2-212100000000-222-20000000011-1-1-1-1110000000000
χ614-44i−4i00000044-4-400004i−4i4i−4i000000000000−2i22i222−220000000000000000000000000000000000
χ624-44i−4i00000044-4-400004i−4i4i−4i0000000000002i2−2i2−22220000000000000000000000000000000000
χ634-4−4i4i00000044-4-40000−4i4i−4i4i000000000000−2i22i2−22220000000000000000000000000000000000
χ644-4−4i4i00000044-4-40000−4i4i−4i4i0000000000002i2−2i222−220000000000000000000000000000000000
χ658-88i−8i0000002-4-246-6002i−2i−4i4i006i−6i0000000000000000000000000000000000000000000000
χ668-88i−8i0000002-4-24-66002i−2i−4i4i00−6i6i0000000000000000000000000000000000000000000000
χ678-88i−8i000000-424-2006-6−4i4i2i−2i6i−6i000000000000000000000000000000000000000000000000
χ688-88i−8i000000-424-200-66−4i4i2i−2i−6i6i000000000000000000000000000000000000000000000000
χ698-8−8i8i0000002-4-246-600−2i2i4i−4i00−6i6i0000000000000000000000000000000000000000000000
χ708-8−8i8i0000002-4-24-6600−2i2i4i−4i006i−6i0000000000000000000000000000000000000000000000
χ718-8−8i8i000000-424-2006-64i−4i−2i2i−6i6i000000000000000000000000000000000000000000000000
χ728-8−8i8i000000-424-200-664i−4i−2i2i6i−6i000000000000000000000000000000000000000000000000

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