Finite Group Databasebeta

← Group #11796865

Character table — Group #11796865

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order12442224443366666612121212121212126666121212128888224444446666121212121212121212121212881616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1
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
χ511111-1-1-1-1111-1-11-1-1111-1-111-1-11-11-11-11-1-1-1-1-11-11-1ii−i−i11-1-1iiii−i−i−i−i11-1-111iiii−i−i−i−i
χ611111-1-1-1-1111-1-11-1-1111-1-111-1-11-11-11-11-1-1-1-1-11-11-1−i−iii11-1-1−i−i−i−iiiii11-1-111−i−i−i−iiiii
χ711111-1-1-1-1111-1-11-1-1111-1-111-1-11-11-11-11-1-1-1-1-1-11-11ii−i−i-1-111iiii−i−i−i−i-1-11111−i−i−i−iiiii
χ811111-1-1-1-1111-1-11-1-1111-1-111-1-11-11-11-11-1-1-1-1-1-11-11−i−iii-1-111−i−i−i−iiiii-1-11111iiii−i−i−i−i
χ911-1-1-11-11-1111111-1-11-1-111-1-1-1-1-11-1-11-11111-1-111-1-1i−ii−i1111ii−i−iii−i−i-1-1-1-11-1ii−i−iii−i−i
χ1011-1-1-11-11-1111111-1-11-1-111-1-1-1-1-11-1-11-11111-1-111-1-1−ii−ii1111−i−iii−i−iii-1-1-1-11-1−i−iii−i−iii
χ1111-1-1-11-11-1111111-1-11-1-111-1-1-1-1-11-1-11-11111-1-1-1-111i−ii−i-1-1-1-1ii−i−iii−i−i11111-1−i−iii−i−iii
χ1211-1-1-11-11-1111111-1-11-1-111-1-1-1-1-11-1-11-11111-1-1-1-111−ii−ii-1-1-1-1−i−iii−i−iii11111-1ii−i−iii−i−i
χ1311-1-1-1-11-11111-1-11111-1-1-1-1-1-111-1-1-11111-1-1-1111-1-111-1-1111-1-111-1-1-1-111-1-1111-111-1-1-1-111
χ1411-1-1-1-11-11111-1-11111-1-1-1-1-1-111-1-1-11111-1-1-1111-1-11-111-111-1-1-1-11111-1-1-1-1111-1-1-11111-1-1
χ1511-1-1-1-11-11111-1-11111-1-1-1-1-1-111-1-1-11111-1-1-111-111-11-1-11-1-11111-1-1-1-11111-1-11-1-1-11111-1-1
χ1611-1-1-1-11-11111-1-11111-1-1-1-1-1-111-1-1-11111-1-1-111-111-1-111-1-1-111-1-11111-1-111-1-11-111-1-1-1-111
χ172222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ1822222-2-2-2-2222-2-22-2-2222-2-222-2-22-22-22-22-22222000000000000000000000000-2-200000000
χ192222-22-2-22-222222-2-2222-2-22222-22-2-2-22-2-2000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ202222-22-2-22-222222-2-2222-2-22222-22-2-2-22-2-2000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ212222-2-222-2-222-2-22222222222-2-2-2-2-22-2-2-220000000000000000000000000000002−22−2−22−22
χ222222-2-222-2-222-2-22222222222-2-2-2-2-22-2-2-22000000000000000000000000000000−22−222−22−2
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
χ2522-2-22-2-222-222-2-22-2-22-2-222-2-2222-22-2-22-22000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ2622-2-22-2-222-222-2-22-2-22-2-222-2-2222-22-2-22-22000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ2722-2-2-22-22-2222222-2-22-2-222-2-2-2-2-22-2-22-222-2-222000000000000000000000000-2200000000
χ2822-2-2-2-22-22222-2-22222-2-2-2-2-2-222-2-2-22222-222-2-2000000000000000000000000-2200000000
χ2944444444441-2-2-2111-21111-2-2-2-211-2-211-2-20000000022220000-1-1-1-1-1-1-1-100000000000000
χ3044444444441-2-2-2111-21111-2-2-2-211-2-211-2-200000000-2-2-2-200001111111100000000000000
χ314444444444-2111-2-2-21-2-2-2-21111-2-211-2-211000022220000-1-1-1-100000000-1-1-1-10000000000
χ324444444444-2111-2-2-21-2-2-2-21111-2-211-2-2110000-2-2-2-2000011110000000011110000000000
χ3344444-4-4-4-441-2221-1-1-211-1-1-2-2221-1-221-1-22000000002i2i−2i−2i0000−i−i−i−iiiii00000000000000
χ3444444-4-4-4-441-2221-1-1-211-1-1-2-2221-1-221-1-2200000000−2i−2i2i2i0000iiii−i−i−i−i00000000000000
χ3544444-4-4-4-44-21-1-1-2221-2-22211-1-1-221-1-221-100002-22-20000-1-11100000000-1-1110000000000
χ3644444-4-4-4-44-21-1-1-2221-2-22211-1-1-221-1-221-10000-22-22000011-1-10000000011-1-10000000000
χ374444-44-4-44-41-2-2-21-1-1-211-1-1-2-2-2-2-1122-112200000000000000003−33−33−33−300000000000000
χ384444-44-4-44-41-2-2-21-1-1-211-1-1-2-2-2-2-1122-11220000000000000000−33−33−33−3300000000000000
χ394444-44-4-44-4-2111-2221-2-22211112-2-1-12-2-1-1000000000000−i3i3−i3i300000000−i3i3−i3i30000000000
χ404444-44-4-44-4-2111-2221-2-22211112-2-1-12-2-1-1000000000000i3−i3i3−i300000000i3−i3i3−i30000000000
χ414444-4-444-4-41-222111-21111-2-222-1-12-2-1-12-20000000000000000−i3i3−i3i3i3−i3i3−i300000000000000
χ424444-4-444-4-41-222111-21111-2-222-1-12-2-1-12-20000000000000000i3−i3i3−i3−i3i3−i3i300000000000000
χ434444-4-444-4-4-21-1-1-2-2-21-2-2-2-211-1-122-1122-11000000000000−i3i3i3−i300000000−i3i3i3−i30000000000
χ444444-4-444-4-4-21-1-1-2-2-21-2-2-2-211-1-122-1122-11000000000000i3−i3−i3i300000000i3−i3−i3i30000000000
χ4544-4-4444-4-4-41-2-2-2111-2-1-1-1-1222211-2-2-1-1220000000000000000−i3i3i3−i3−i3i3i3−i300000000000000
χ4644-4-4444-4-4-41-2-2-2111-2-1-1-1-1222211-2-2-1-1220000000000000000i3−i3−i3i3i3−i3−i3i300000000000000
χ4744-4-4444-4-4-4-2111-2-2-212222-1-1-1-1-2-21122-1-1000000000000−i3i3−i3i300000000i3−i3i3−i30000000000
χ4844-4-4444-4-4-4-2111-2-2-212222-1-1-1-1-2-21122-1-1000000000000i3−i3i3−i300000000−i3i3−i3i30000000000
χ4944-4-44-4-444-41-2221-1-1-2-1-11122-2-21-1-22-112-200000000000000003−3−33−333−300000000000000
χ5044-4-44-4-444-41-2221-1-1-2-1-11122-2-21-1-22-112-20000000000000000−333−33−3−3300000000000000
χ5144-4-44-4-444-4-21-1-1-222122-2-2-1-111-221-12-2-11000000000000−i3i3i3−i300000000i3−i3−i3i30000000000
χ5244-4-44-4-444-4-21-1-1-222122-2-2-1-111-221-12-2-11000000000000i3−i3−i3i300000000−i3i3i3−i30000000000
χ5344-4-4-44-44-441-2-2-21-1-1-2-1-1112222-11221-1-2-2000000002i−2i2i−2i0000−i−iii−i−iii00000000000000
χ5444-4-4-44-44-441-2-2-21-1-1-2-1-1112222-11221-1-2-200000000−2i2i−2i2i0000ii−i−iii−i−i00000000000000
χ5544-4-4-44-44-44-2111-222122-2-2-1-1-1-12-2-1-1-2211000022-2-20000-1-1-1-10000000011110000000000
χ5644-4-4-44-44-44-2111-222122-2-2-1-1-1-12-2-1-1-22110000-2-2220000111100000000-1-1-1-10000000000
χ5744-4-4-4-44-4441-222111-2-1-1-1-122-2-2-1-12-211-22000000002-2-220000-1-11111-1-100000000000000
χ5844-4-4-4-44-4441-222111-2-1-1-1-122-2-2-1-12-211-2200000000-222-2000011-1-1-1-11100000000000000
χ5944-4-4-4-44-444-21-1-1-2-2-212222-1-11122-11-2-21-100002-2-220000-1-1110000000011-1-10000000000
χ6044-4-4-4-44-444-21-1-1-2-2-212222-1-11122-11-2-21-10000-222-2000011-1-100000000-1-1110000000000
χ614-44i−4i0000004400-400-44i−4i004i−4i000000000022−22−2i22i20000000000000000000000000000000000
χ624-44i−4i0000004400-400-44i−4i004i−4i0000000000−22222i2−2i20000000000000000000000000000000000
χ634-4−4i4i0000004400-400-4−4i4i00−4i4i000000000022−222i2−2i20000000000000000000000000000000000
χ644-4−4i4i0000004400-400-4−4i4i00−4i4i0000000000−2222−2i22i20000000000000000000000000000000000
χ658-88i−8i0000002-400-26-642i−2i6i−6i−4i4i000000000000000000000000000000000000000000000000
χ668-88i−8i0000002-400-2-6642i−2i−6i6i−4i4i000000000000000000000000000000000000000000000000
χ678-88i−8i000000-426-6400-2−4i4i002i−2i6i−6i0000000000000000000000000000000000000000000000
χ688-88i−8i000000-42-66400-2−4i4i002i−2i−6i6i0000000000000000000000000000000000000000000000
χ698-8−8i8i0000002-400-26-64−2i2i−6i6i4i−4i000000000000000000000000000000000000000000000000
χ708-8−8i8i0000002-400-2-664−2i2i6i−6i4i−4i000000000000000000000000000000000000000000000000
χ718-8−8i8i000000-426-6400-24i−4i00−2i2i−6i6i0000000000000000000000000000000000000000000000
χ728-8−8i8i000000-42-66400-24i−4i00−2i2i6i−6i0000000000000000000000000000000000000000000000

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