Finite Group Databasebeta

← Group #11787607

Character table — Group #11787607

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11111111222244444444444444444444444488881212121212121212121212121212121212121212121212121818181824242424242424242424242436363636363636363636
order12222222444433666666666666661212121212121212121212124444444412121212121212121212121212121212444422446666121212124488888888
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
χ511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-11111-1-1-1-1
χ9111-1-1-11-1ii−i−i1111-1-1111-1-1-1-11-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-11-11-1i−i11-1-1ii−i−ii−i11-1-1ii−i−i
χ10111-1-1-11-1ii−i−i1111-1-1111-1-1-1-11-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-11-1-11−ii-1-111−i−iiii−i-1-111−i−iii
χ11111-1-1-11-1ii−i−i1111-1-1111-1-1-1-11-1-1iiii−i−i−i−iii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-11-11-1i−i11-1-1ii−i−ii−i-1-111−i−iii
χ12111-1-1-11-1ii−i−i1111-1-1111-1-1-1-11-1-1iiii−i−i−i−iii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-11-1-11−ii-1-111−i−iiii−i11-1-1ii−i−i
χ13111-1-1-11-1−i−iii1111-1-1111-1-1-1-11-1-1−i−i−i−iiiii−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-11-11-1−ii11-1-1−i−iii−ii11-1-1−i−iii
χ14111-1-1-11-1−i−iii1111-1-1111-1-1-1-11-1-1−i−i−i−iiiii−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-11-1-11i−i-1-111ii−i−i−ii-1-111ii−i−i
χ15111-1-1-11-1−i−iii1111-1-1111-1-1-1-11-1-1−i−i−i−iiiii−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-11-11-1−ii11-1-1−i−iii−ii-1-111ii−i−i
χ16111-1-1-11-1−i−iii1111-1-1111-1-1-1-11-1-1−i−i−i−iiiii−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-11-1-11i−i-1-111ii−i−i−ii11-1-1−i−iii
χ172222222222222222222222222222222222222222000000000000000000000000-2-2-2-2000000000000-2-200000000
χ1822222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-20000000000002200000000
χ19222-2-2-22-22i2i−2i−2i2222-2-2222-2-2-2-22-2-22i2i2i2i−2i−2i−2i−2i2i2i−2i−2i000000000000000000000000-22-22000000000000−2i2i00000000
χ20222-2-2-22-2−2i−2i2i2i2222-2-2222-2-2-2-22-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i000000000000000000000000-22-220000000000002i−2i00000000
χ2122-22-2-2-222i−2i2i−2i222-22-22-2-222-2-2-22-22i2i−2i−2i2i2i−2i−2i2i−2i2i−2i000000000000000000000000000000000000000000−i2i2−i2i22−22−2
χ2222-22-2-2-222i−2i2i−2i222-22-22-2-222-2-2-22-22i2i−2i−2i2i2i−2i−2i2i−2i2i−2i000000000000000000000000000000000000000000i2−i2i2−i2−22−22
χ2322-22-2-2-22−2i2i−2i2i222-22-22-2-222-2-2-22-2−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i000000000000000000000000000000000000000000−i2i2−i2i2−22−22
χ2422-22-2-2-22−2i2i−2i2i222-22-22-2-222-2-2-22-2−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i000000000000000000000000000000000000000000i2−i2i2−i22−22−2
χ2522-2-222-2-22-2-22222-2-222-2-2-2-222-2-2222-2-2-2-2222-2-22000000000000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ2622-2-222-2-22-2-22222-2-222-2-2-2-222-2-2222-2-2-2-2222-2-22000000000000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ2722-2-222-2-2-222-2222-2-222-2-2-2-222-2-22-2-22222-2-2-222-2000000000000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ2822-2-222-2-2-222-2222-2-222-2-2-2-222-2-22-2-22222-2-2-222-2000000000000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ292-2-22-222-2000022-2-222-22-22-2-2-22-2200000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i22-2-20000000000000000000000
χ302-2-22-222-2000022-2-222-22-22-2-2-22-220000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000000000
χ312-2-22-222-2000022-2-222-22-22-2-2-22-220000000000002-22-2000022-2-222-2-200000000-2-2220000000000000000000000
χ322-2-22-222-2000022-2-222-22-22-2-2-22-22000000000000-22-220000-2-222-2-22200000000-2-2220000000000000000000000
χ332-2-2-22-222000022-2-2-2-2-22-2-222222-200000000000000002-2-220000000022-2-2-2-2222-2-220000000000000000000000
χ342-2-2-22-222000022-2-2-2-2-22-2-222222-20000000000000000-222-200000000-2-22222-2-22-2-220000000000000000000000
χ352-2-2-22-222000022-2-2-2-2-22-2-222222-20000000000002-2-22000022-2-2-2-22200000000-222-20000000000000000000000
χ362-2-2-22-222000022-2-2-2-2-22-2-222222-2000000000000-222-20000-2-22222-2-200000000-222-20000000000000000000000
χ374444444444441-21111-2-2-2-2-21-211-211111111-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ384444444444441-21111-2-2-2-2-21-211-211111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000
χ39444444444444-21-2-2-2-211111-21-2-21-2-2-2-2-2-2-2-2111100000000000000000000000000002222-1-1-1-1-1-1-1-10000000000
χ40444444444444-21-2-2-2-211111-21-2-21-2-2-2-2-2-2-2-211110000000000000000000000000000-2-2-2-2111111110000000000
χ4144444444-4-4-4-41-21111-2-2-2-2-21-211-2-1-1-1-1-1-1-1-122222222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000000000
χ4244444444-4-4-4-41-21111-2-2-2-2-21-211-2-1-1-1-1-1-1-1-12222-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000000000
χ4344444444-4-4-4-4-21-2-2-2-211111-21-2-2122222222-1-1-1-1000000000000000000000000000022-2-2-1-1-1-111110000000000
χ4444444444-4-4-4-4-21-2-2-2-211111-21-2-2122222222-1-1-1-10000000000000000000000000000-2-2221111-1-1-1-10000000000
χ45444-4-4-44-44i4i−4i−4i1-211-1-1-2-2-222-121-12iiii−i−i−i−i−2i−2i2i2i22-2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii00000000000000000000000000
χ46444-4-4-44-44i4i−4i−4i1-211-1-1-2-2-222-121-12iiii−i−i−i−i−2i−2i2i2i-2-222−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i00000000000000000000000000
χ47444-4-4-44-44i4i−4i−4i-21-2-222111-1-12-1-22-1−2i−2i−2i−2i2i2i2i2iii−i−i00000000000000000000000000002-22i−2i-1-111−i−iii0000000000
χ48444-4-4-44-44i4i−4i−4i-21-2-222111-1-12-1-22-1−2i−2i−2i−2i2i2i2i2iii−i−i0000000000000000000000000000-22−2i2i11-1-1ii−i−i0000000000
χ49444-4-4-44-4−4i−4i4i4i1-211-1-1-2-2-222-121-12−i−i−i−iiiii2i2i−2i−2i22-2-2−2i−2i2i2i-1-1-1-11111iiii−i−i−i−i00000000000000000000000000
χ50444-4-4-44-4−4i−4i4i4i1-211-1-1-2-2-222-121-12−i−i−i−iiiii2i2i−2i−2i-2-2222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii00000000000000000000000000
χ51444-4-4-44-4−4i−4i4i4i-21-2-222111-1-12-1-22-12i2i2i2i−2i−2i−2i−2i−i−iii00000000000000000000000000002-2−2i2i-1-111ii−i−i0000000000
χ52444-4-4-44-4−4i−4i4i4i-21-2-222111-1-12-1-22-12i2i2i2i−2i−2i−2i−2i−i−iii0000000000000000000000000000-222i−2i11-1-1−i−iii0000000000
χ5344-44-4-4-444i−4i4i−4i1-21-11-1-222-2-2-12-112ii−i−iii−i−i−2i2i−2i2i000000003−33−33−33−3−i3i3−i3i3−i3i3−i3i300000000000000000000000000
χ5444-44-4-4-444i−4i4i−4i1-21-11-1-222-2-2-12-112ii−i−iii−i−i−2i2i−2i2i00000000−33−33−33−33i3−i3i3−i3i3−i3i3−i300000000000000000000000000
χ5544-44-4-4-444i−4i4i−4i-21-22-221-1-1112-12-2-1−2i−2i2i2i−2i−2i2i2ii−ii−i00000000000000000000000000000000−i3i3−i3i33−33−30000000000
χ5644-44-4-4-444i−4i4i−4i-21-22-221-1-1112-12-2-1−2i−2i2i2i−2i−2i2i2ii−ii−i00000000000000000000000000000000i3−i3i3−i3−33−330000000000
χ5744-44-4-4-44−4i4i−4i4i1-21-11-1-222-2-2-12-112−i−iii−i−iii2i−2i2i−2i000000003−33−33−33−3i3−i3i3−i3i3−i3i3−i300000000000000000000000000
χ5844-44-4-4-44−4i4i−4i4i1-21-11-1-222-2-2-12-112−i−iii−i−iii2i−2i2i−2i00000000−33−33−33−33−i3i3−i3i3−i3i3−i3i300000000000000000000000000
χ5944-44-4-4-44−4i4i−4i4i-21-22-221-1-1112-12-2-12i2i−2i−2i2i2i−2i−2i−ii−ii00000000000000000000000000000000−i3i3−i3i3−33−330000000000
χ6044-44-4-4-44−4i4i−4i4i-21-22-221-1-1112-12-2-12i2i−2i−2i2i2i−2i−2i−ii−ii00000000000000000000000000000000i3−i3i3−i33−33−30000000000
χ6144-4-444-4-44-4-441-21-1-11-222221-2-1-1-211-1-1-1-111-222-2000000003−33−3−33−33−33−333−33−300000000000000000000000000
χ6244-4-444-4-44-4-441-21-1-11-222221-2-1-1-211-1-1-1-111-222-200000000−33−333−33−33−33−3−33−3300000000000000000000000000
χ6344-4-444-4-44-4-44-21-222-21-1-1-1-1-21221-2-22222-2-21-1-1100000000000000000000000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ6444-4-444-4-44-4-44-21-222-21-1-1-1-1-21221-2-22222-2-21-1-1100000000000000000000000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ6544-4-444-4-4-444-41-21-1-11-222221-2-1-1-2-1-11111-1-12-2-22000000003−33−3−33−333−33−3−33−3300000000000000000000000000
χ6644-4-444-4-4-444-41-21-1-11-222221-2-1-1-2-1-11111-1-12-2-2200000000−33−333−33−3−33−333−33−300000000000000000000000000
χ6744-4-444-4-4-444-4-21-222-21-1-1-1-1-2122122-2-2-2-222-111-100000000000000000000000000000000−i3i3i3−i3i3−i3−i3i30000000000
χ6844-4-444-4-4-444-4-21-222-21-1-1-1-1-2122122-2-2-2-222-111-100000000000000000000000000000000i3−i3−i3i3−i3i3i3−i30000000000
χ694-4444-4-4-400001-2-111-122-2-221-2-1-123-33-33-33-30000000000003−3−333−3−333−3−333−3−3300000000000000000000000000
χ704-4444-4-4-400001-2-111-122-2-221-2-1-123-33-33-33-3000000000000−333−3−333−3−333−3−333−300000000000000000000000000
χ714-4444-4-4-400001-2-111-122-2-221-2-1-12-33-33-33-330000000000003−3−333−3−33−333−3−333−300000000000000000000000000
χ724-4444-4-4-400001-2-111-122-2-221-2-1-12-33-33-33-33000000000000−333−3−333−33−3−333−3−3300000000000000000000000000
χ734-4444-4-4-4000044-444-4-4-444-444-4-4-400000000000000000000000000000000000000000000000000000000000000
χ744-44-4-44-4400001-2-11-1122-22-2-12-11-23i−3i3i−3i−3i3i−3i3i0000000000003−3−33−333−3i3−i3−i3i3−i3i3i3−i300000000000000000000000000
χ754-44-4-44-4400001-2-11-1122-22-2-12-11-23i−3i3i−3i−3i3i−3i3i000000000000−333−33−3−33−i3i3i3−i3i3−i3−i3i300000000000000000000000000
χ764-44-4-44-4400001-2-11-1122-22-2-12-11-2−3i3i−3i3i3i−3i3i−3i0000000000003−3−33−333−3−i3i3i3−i3i3−i3−i3i300000000000000000000000000
χ774-44-4-44-4400001-2-11-1122-22-2-12-11-2−3i3i−3i3i3i−3i3i−3i000000000000−333−33−3−33i3−i3−i3i3−i3i3i3−i300000000000000000000000000
χ784-44-4-44-44000044-44-44-4-44-44-4-4-44400000000000000000000000000000000000000000000000000000000000000
χ794-4-44-444-400001-2-1-1112-22-22-121-1-23i−3i−3i3i3i−3i−3i3i00002-22-2−2i2i−2i2i-1-111-1-111ii−i−iii−i−i00000000000000000000000000
χ804-4-44-444-400001-2-1-1112-22-22-121-1-23i−3i−3i3i3i−3i−3i3i0000-22-222i−2i2i−2i11-1-111-1-1−i−iii−i−iii00000000000000000000000000
χ814-4-44-444-400001-2-1-1112-22-22-121-1-2−3i3i3i−3i−3i3i3i−3i00002-22-22i−2i2i−2i-1-111-1-111−i−iii−i−iii00000000000000000000000000
χ824-4-44-444-400001-2-1-1112-22-22-121-1-2−3i3i3i−3i−3i3i3i−3i0000-22-22−2i2i−2i2i11-1-111-1-1ii−i−iii−i−i00000000000000000000000000
χ834-4-4-44-44400001-2-1-1-1-12-222-21-21123-3-33-333-300002-2-22-222-2-1-11111-1-111-1-1-1-11100000000000000000000000000
χ844-4-4-44-44400001-2-1-1-1-12-222-21-21123-3-33-333-30000-222-22-2-2211-1-1-1-111-1-11111-1-100000000000000000000000000
χ854-4-4-44-44400001-2-1-1-1-12-222-21-2112-333-33-3-3300002-2-222-2-22-1-11111-1-1-1-11111-1-100000000000000000000000000
χ864-4-4-44-44400001-2-1-1-1-12-222-21-2112-333-33-3-330000-222-2-222-211-1-1-1-11111-1-1-1-11100000000000000000000000000
χ878-8888-8-8-80000-424-4-44-2-222-2-4244-200000000000000000000000000000000000000000000000000000000000000
χ888-88-8-88-880000-424-44-4-2-22-224-24-4200000000000000000000000000000000000000000000000000000000000000
χ898-8-88-888-80000-4244-4-4-22-22-24-2-44200000000000000000000000000000000000000000000000000000000000000
χ908-8-8-88-8880000-424444-22-2-22-42-4-4-200000000000000000000000000000000000000000000000000000000000000

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