Finite Group Databasebeta

← Group #11865823

Character table — Group #11865823

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11111111222244444444444444444444444488881212121212121212121212121212121212121212121212121818181824242424242424242424242436363636363636363636
order122244444444336666661212121212121212121212121212121212121212224444446666121212121212121212121212224422446666121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ511111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-1-1-1-1-11111
χ711111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111-11-111-1-111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-111-1-111-1-11111-1-1-1-1
χ91111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11-111-1-111-1-1
χ101111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111111-1-1-111-1-111
χ111111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-11-1-1-111-1-111
χ121111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111111-111-1-111-1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-111-1111-1-1-1-111
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-111-1-1-11111-1-1-11-1-11111-1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-1111-1-1-1-111-11-1-11111-1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-111-1-1-11111-1-1-1111-1-1-1-111
χ172222222222222222222222222222222222222222000000000000000000000000-2-2-2-2000000000000-2-200000000
χ1822222222-2-2-2-2222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000-2-2-2-20000000000002200000000
χ192222-2-2-2-222-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-200000000000000000000000022-2-2000000000000-2200000000
χ202222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22200000000000000000000000022-2-20000000000002-200000000
χ2122-2-22i2i−2i−2i2-22i−2i222-22-2-2-22i2i−2i−2i22-2-22i2i−2i−2i2i2i−2i−2i2-22i−2i0000000000000000000000000000000000000000002−2−i2i22−2−i2i2
χ2222-2-22i2i−2i−2i2-22i−2i222-22-2-2-22i2i−2i−2i22-2-22i2i−2i−2i2i2i−2i−2i2-22i−2i000000000000000000000000000000000000000000−22i2−i2−22i2−i2
χ2322-2-22i2i−2i−2i-22−2i2i222-22-2-2-22i2i−2i−2i-2-222−2i−2i2i2i2i2i−2i−2i-22−2i2i0000000000000000000000000000000000000000002−2−i2i2−22i2−i2
χ2422-2-22i2i−2i−2i-22−2i2i222-22-2-2-22i2i−2i−2i-2-222−2i−2i2i2i2i2i−2i−2i-22−2i2i000000000000000000000000000000000000000000−22i2−i22−2−i2i2
χ2522-2-2−2i−2i2i2i2-2−2i2i222-22-2-2-2−2i−2i2i2i22-2-2−2i−2i2i2i−2i−2i2i2i2-2−2i2i0000000000000000000000000000000000000000002−2i2−i22−2i2−i2
χ2622-2-2−2i−2i2i2i2-2−2i2i222-22-2-2-2−2i−2i2i2i22-2-2−2i−2i2i2i−2i−2i2i2i2-2−2i2i000000000000000000000000000000000000000000−22−i2i2−22−i2i2
χ2722-2-2−2i−2i2i2i-222i−2i222-22-2-2-2−2i−2i2i2i-2-2222i2i−2i−2i−2i−2i2i2i-222i−2i0000000000000000000000000000000000000000002−2i2−i2−22−i2i2
χ2822-2-2−2i−2i2i2i-222i−2i222-22-2-2-2−2i−2i2i2i-2-2222i2i−2i−2i−2i−2i2i2i-222i−2i000000000000000000000000000000000000000000−22−i2i22−2i2−i2
χ292-2-222-22-2000022-2-2-22-222-22-2000000002-22-20000002i−2i2i−2i00000000002i2i−2i−2i2i2i−2i−2i2-22-20000000000000000000000
χ302-2-222-22-2000022-2-2-22-222-22-2000000002-22-2000000−2i2i−2i2i0000000000−2i−2i2i2i−2i−2i2i2i2-22-20000000000000000000000
χ312-2-222-22-2000022-2-2-22-222-22-2000000002-22-200002-200002-222-2-222-2-200000000-22-220000000000000000000000
χ322-2-222-22-2000022-2-2-22-222-22-2000000002-22-20000-220000-22-2-222-2-22200000000-22-220000000000000000000000
χ332-2-22-22-22000022-2-2-22-22-22-2200000000-22-220000002i−2i−2i2i00000000002i2i−2i−2i−2i−2i2i2i-222-20000000000000000000000
χ342-2-22-22-22000022-2-2-22-22-22-2200000000-22-22000000−2i2i2i−2i0000000000−2i−2i2i2i2i2i−2i−2i-222-20000000000000000000000
χ352-2-22-22-22000022-2-2-22-22-22-2200000000-22-2200002-20000-2222-2-2-2-222000000002-2-220000000000000000000000
χ362-2-22-22-22000022-2-2-22-22-22-2200000000-22-220000-2200002-2-2-22222-2-2000000002-2-220000000000000000000000
χ374444444444441-2-2-2111-2111111111111-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ384444444444441-2-2-2111-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000
χ39444444444444-2111-2-2-21-2-2-2-2-2-2-2-2-2-2-2-21111111100000000000000000000000000002222-1-1-1-1-1-1-1-10000000000
χ40444444444444-2111-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2111111110000000000000000000000000000-2-2-2-2111111110000000000
χ4144444444-4-4-4-41-2-2-2111-21111-1-1-1-1-1-1-1-1-2-2-2-2222222-2-2-2-222-1-1-1-1-1-1-1-11111111100000000000000000000000000
χ4244444444-4-4-4-41-2-2-2111-21111-1-1-1-1-1-1-1-1-2-2-2-22222-2-22222-2-211111111-1-1-1-1-1-1-1-100000000000000000000000000
χ4344444444-4-4-4-4-2111-2-2-21-2-2-2-2222222221111-1-1-1-100000000000000000000000000002-22-2-1-111-1-1110000000000
χ4444444444-4-4-4-4-2111-2-2-21-2-2-2-2222222221111-1-1-1-10000000000000000000000000000-22-2211-1-111-1-10000000000
χ454444-4-4-4-444-4-41-2-2-2111-2-1-1-1-11111-1-1-1-12222-2-2222222-2-2-2-2-1-1-1-11111-1-1-1-1111100000000000000000000000000
χ464444-4-4-4-444-4-41-2-2-2111-2-1-1-1-11111-1-1-1-12222-2-222-2-2-2-222221111-1-1-1-11111-1-1-1-100000000000000000000000000
χ474444-4-4-4-444-4-4-2111-2-2-212222-2-2-2-22222-1-1-1-111-1-1000000000000000000000000000022-2-2-1-1-1-111110000000000
χ484444-4-4-4-444-4-4-2111-2-2-212222-2-2-2-22222-1-1-1-111-1-10000000000000000000000000000-2-2221111-1-1-1-10000000000
χ494444-4-4-4-4-4-4441-2-2-2111-2-1-1-1-1-1-1-1-11111222222-2-222-2-222-2-2-1-1-1-111111111-1-1-1-100000000000000000000000000
χ504444-4-4-4-4-4-4441-2-2-2111-2-1-1-1-1-1-1-1-11111222222-2-2-2-222-2-2221111-1-1-1-1-1-1-1-1111100000000000000000000000000
χ514444-4-4-4-4-4-444-2111-2-2-2122222222-2-2-2-2-1-1-1-1-1-11100000000000000000000000000002-2-22-1-11111-1-10000000000
χ524444-4-4-4-4-4-444-2111-2-2-2122222222-2-2-2-2-1-1-1-1-1-1110000000000000000000000000000-222-211-1-1-1-1110000000000
χ5344-4-44i4i−4i−4i4-44i−4i1-2-221-1-12ii−i−i11-1-1ii−i−i−2i−2i2i2i-22−2i2i00000000−i3i3−i3i33−33−3−i3i3−i3i33−33−300000000000000000000000000
χ5444-4-44i4i−4i−4i4-44i−4i1-2-221-1-12ii−i−i11-1-1ii−i−i−2i−2i2i2i-22−2i2i00000000i3−i3i3−i3−33−33i3−i3i3−i3−33−3300000000000000000000000000
χ5544-4-44i4i−4i−4i4-44i−4i-211-1-222-1−2i−2i2i2i-2-222−2i−2i2i2iii−i−i1-1i−i00000000000000000000000000000000−i3i3−i3i33−33−30000000000
χ5644-4-44i4i−4i−4i4-44i−4i-211-1-222-1−2i−2i2i2i-2-222−2i−2i2i2iii−i−i1-1i−i00000000000000000000000000000000i3−i3i3−i3−33−330000000000
χ5744-4-44i4i−4i−4i-44−4i4i1-2-221-1-12ii−i−i-1-111−i−iii−2i−2i2i2i2-22i−2i00000000−i3i3−i3i33−33−3i3−i3i3−i3−33−3300000000000000000000000000
χ5844-4-44i4i−4i−4i-44−4i4i1-2-221-1-12ii−i−i-1-111−i−iii−2i−2i2i2i2-22i−2i00000000i3−i3i3−i3−33−33−i3i3−i3i33−33−300000000000000000000000000
χ5944-4-44i4i−4i−4i-44−4i4i-211-1-222-1−2i−2i2i2i22-2-22i2i−2i−2iii−i−i-11−ii00000000000000000000000000000000−i3i3i3−i33−3−330000000000
χ6044-4-44i4i−4i−4i-44−4i4i-211-1-222-1−2i−2i2i2i22-2-22i2i−2i−2iii−i−i-11−ii00000000000000000000000000000000i3−i3−i3i3−333−30000000000
χ6144-4-4−4i−4i4i4i4-4−4i4i1-2-221-1-12−i−iii11-1-1−i−iii2i2i−2i−2i-222i−2i00000000−i3i3−i3i3−33−33−i3i3−i3i3−33−3300000000000000000000000000
χ6244-4-4−4i−4i4i4i4-4−4i4i1-2-221-1-12−i−iii11-1-1−i−iii2i2i−2i−2i-222i−2i00000000i3−i3i3−i33−33−3i3−i3i3−i33−33−300000000000000000000000000
χ6344-4-4−4i−4i4i4i4-4−4i4i-211-1-222-12i2i−2i−2i-2-2222i2i−2i−2i−i−iii1-1−ii00000000000000000000000000000000−i3i3−i3i3−33−330000000000
χ6444-4-4−4i−4i4i4i4-4−4i4i-211-1-222-12i2i−2i−2i-2-2222i2i−2i−2i−i−iii1-1−ii00000000000000000000000000000000i3−i3i3−i33−33−30000000000
χ6544-4-4−4i−4i4i4i-444i−4i1-2-221-1-12−i−iii-1-111ii−i−i2i2i−2i−2i2-2−2i2i00000000−i3i3−i3i3−33−33i3−i3i3−i33−33−300000000000000000000000000
χ6644-4-4−4i−4i4i4i-444i−4i1-2-221-1-12−i−iii-1-111ii−i−i2i2i−2i−2i2-2−2i2i00000000i3−i3i3−i33−33−3−i3i3−i3i3−33−3300000000000000000000000000
χ6744-4-4−4i−4i4i4i-444i−4i-211-1-222-12i2i−2i−2i22-2-2−2i−2i2i2i−i−iii-11i−i00000000000000000000000000000000−i3i3i3−i3−333−30000000000
χ6844-4-4−4i−4i4i4i-444i−4i-211-1-222-12i2i−2i−2i22-2-2−2i−2i2i2i−i−iii-11i−i00000000000000000000000000000000i3−i3−i3i33−3−330000000000
χ694-44-44i−4i−4i4i00001-22-2-1-112i−i−ii3i−3i3i−3i3-33-3−2i2i2i−2i000000000000−i3i3i3−i33−3−333−3−33i3−i3−i3i300000000000000000000000000
χ704-44-44i−4i−4i4i00001-22-2-1-112i−i−ii3i−3i3i−3i3-33-3−2i2i2i−2i000000000000i3−i3−i3i3−333−3−333−3−i3i3i3−i300000000000000000000000000
χ714-44-44i−4i−4i4i00001-22-2-1-112i−i−ii−3i3i−3i3i-33-33−2i2i2i−2i000000000000−i3i3i3−i33−3−33−333−3−i3i3i3−i300000000000000000000000000
χ724-44-44i−4i−4i4i00001-22-2-1-112i−i−ii−3i3i−3i3i-33-33−2i2i2i−2i000000000000i3−i3−i3i3−333−33−3−33i3−i3−i3i300000000000000000000000000
χ734-44-44i−4i−4i4i000044-44-4-44-44i−4i−4i4i000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000
χ744-44-4−4i4i4i−4i00001-22-2-1-112−iii−i3i−3i3i−3i-33-332i−2i−2i2i000000000000−i3i3i3−i3−333−33−3−33−i3i3i3−i300000000000000000000000000
χ754-44-4−4i4i4i−4i00001-22-2-1-112−iii−i3i−3i3i−3i-33-332i−2i−2i2i000000000000i3−i3−i3i33−3−33−333−3i3−i3−i3i300000000000000000000000000
χ764-44-4−4i4i4i−4i00001-22-2-1-112−iii−i−3i3i−3i3i3-33-32i−2i−2i2i000000000000−i3i3i3−i3−333−3−333−3i3−i3−i3i300000000000000000000000000
χ774-44-4−4i4i4i−4i00001-22-2-1-112−iii−i−3i3i−3i3i3-33-32i−2i−2i2i000000000000i3−i3−i3i33−3−333−3−33−i3i3i3−i300000000000000000000000000
χ784-44-4−4i4i4i−4i000044-44-4-44-4−4i4i4i−4i00000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000
χ794-4-444-44-400001-222-11-1-21-11-13i−3i−3i3i−3i3i3i−3i-22-2200002-22i−2i2i−2i2-2-1-111-1-111−i−iii−i−iii00000000000000000000000000
χ804-4-444-44-400001-222-11-1-21-11-13i−3i−3i3i−3i3i3i−3i-22-220000-22−2i2i−2i2i-2211-1-111-1-1ii−i−iii−i−i00000000000000000000000000
χ814-4-444-44-400001-222-11-1-21-11-1−3i3i3i−3i3i−3i−3i3i-22-2200002-2−2i2i−2i2i2-2-1-111-1-111ii−i−iii−i−i00000000000000000000000000
χ824-4-444-44-400001-222-11-1-21-11-1−3i3i3i−3i3i−3i−3i3i-22-220000-222i−2i2i−2i-2211-1-111-1-1−i−iii−i−iii00000000000000000000000000
χ834-4-44-44-4400001-222-11-1-2-11-113i−3i−3i3i3i−3i−3i3i2-22-200002-22i−2i−2i2i-22-1-11111-1-1−i−iiiii−i−i00000000000000000000000000
χ844-4-44-44-4400001-222-11-1-2-11-113i−3i−3i3i3i−3i−3i3i2-22-20000-22−2i2i2i−2i2-211-1-1-1-111ii−i−i−i−iii00000000000000000000000000
χ854-4-44-44-4400001-222-11-1-2-11-11−3i3i3i−3i−3i3i3i−3i2-22-200002-2−2i2i2i−2i-22-1-11111-1-1ii−i−i−i−iii00000000000000000000000000
χ864-4-44-44-4400001-222-11-1-2-11-11−3i3i3i−3i−3i3i3i−3i2-22-20000-222i−2i−2i2i2-211-1-1-1-111−i−iiiii−i−i00000000000000000000000000
χ878-88-88i−8i−8i8i0000-42-2244-4-2−4i4i4i−4i000000002i−2i−2i2i000000000000000000000000000000000000000000000000000000
χ888-88-8−8i8i8i−8i0000-42-2244-4-24i−4i−4i4i00000000−2i2i2i−2i000000000000000000000000000000000000000000000000000000
χ898-8-888-88-80000-42-2-24-442-44-44000000002-22-2000000000000000000000000000000000000000000000000000000
χ908-8-88-88-880000-42-2-24-4424-44-400000000-22-22000000000000000000000000000000000000000000000000000000

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