Finite Group Databasebeta

← Group #11771209

Character table — Group #11771209

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11111111222244444444444444444444444488881212121212121212121212121212121212121212121212121818181824242424242424242424242436363636363636363636
order12224444224433666666666612121212121212121212121266121244444444121212121212121212121212121212124444888824242424242424244488888888
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
χ511111111-1-1-1-1111111-1-111-1-1111111-1-1-1-111-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111-1-11111-1-1-1-111iiii−i−i−i−i
χ611111111-1-1-1-1111111-1-111-1-1111111-1-1-1-111-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-111-1-1-1-1111111−i−i−i−iiiii
χ711111111-1-1-1-1111111-1-111-1-1111111-1-1-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111-1-11111-1-1-1-111−i−i−i−iiiii
χ811111111-1-1-1-1111111-1-111-1-1111111-1-1-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-111-1-1-1-1111111iiii−i−i−i−i
χ91111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1i−ii−iii−i−iii−i−i1-1ii−i−iii−i−i
χ101111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1−ii−ii−i−iii−i−iii1-1−i−iii−i−iii
χ111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1i−ii−iii−i−iii−i−i1-1−i−iii−i−iii
χ121111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1−ii−ii−i−iii−i−iii1-1ii−i−iii−i−i
χ131111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii1-1-1-11111-1-1
χ141111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i1-111-1-1-1-111
χ151111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii1-111-1-1-1-111
χ161111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i1-1-1-11111-1-1
χ172222222222222222222222222222222222222222000000000000000000000000-2-2-2-2000000000000-2-200000000
χ1822222222-2-2-2-2222222-2-222-2-2222222-2-2-2-222-2-2-2-20000000000000000000000002222000000000000-2-200000000
χ192222-2-2-2-222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2000000000000000000000000-2-222000000000000-2200000000
χ202222-2-2-2-2-2-222222222-2-222-2-2-2-2-2-2-2-22222-2-2-2-22200000000000000000000000022-2-2000000000000-2200000000
χ2122-2-222-2-22-22-222-2-2-2-22222-2-22222-2-222-2-2-2-22-22-20000000000000000000000000000000000000000002−22−22−22−2
χ2222-2-222-2-22-22-222-2-2-2-22222-2-22222-2-222-2-2-2-22-22-2000000000000000000000000000000000000000000−22−22−22−22
χ2322-2-222-2-2-22-2222-2-2-2-2-2-222222222-2-2-2-222-2-2-22-22000000000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ2422-2-222-2-2-22-2222-2-2-2-2-2-222222222-2-2-2-222-2-2-22-22000000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ2522-2-2-2-2222-2-2222-2-2-2-22222-2-2-2-2-2-222-2-222222-2-22000000000000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ2622-2-2-2-2222-2-2222-2-2-2-22222-2-2-2-2-2-222-2-222222-2-22000000000000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ2722-2-2-2-222-222-222-2-2-2-2-2-22222-2-2-2-22222-2-222-222-20000000000000000000000000000000000000000002−2−22−222−2
χ2822-2-2-2-222-222-222-2-2-2-2-2-22222-2-2-2-22222-2-222-222-2000000000000000000000000000000000000000000−222−22−2−22
χ292-22-22i−2i2i−2i00002222-2-200-2-2002i2i−2i−2i2i−2i00002i−2i00001+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2i−2i2-20000000000000000000000
χ302-22-22i−2i2i−2i00002222-2-200-2-2002i2i−2i−2i2i−2i00002i−2i00001−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−2i2i-220000000000000000000000
χ312-22-22i−2i2i−2i00002222-2-200-2-2002i2i−2i−2i2i−2i00002i−2i0000−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−2i2i-220000000000000000000000
χ322-22-22i−2i2i−2i00002222-2-200-2-2002i2i−2i−2i2i−2i00002i−2i0000−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2i−2i2-20000000000000000000000
χ332-22-2−2i2i−2i2i00002222-2-200-2-200−2i−2i2i2i−2i2i0000−2i2i00001+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i2i−2i-220000000000000000000000
χ342-22-2−2i2i−2i2i00002222-2-200-2-200−2i−2i2i2i−2i2i0000−2i2i00001−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−2i2i2-20000000000000000000000
χ352-22-2−2i2i−2i2i00002222-2-200-2-200−2i−2i2i2i−2i2i0000−2i2i0000−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2i2i2-20000000000000000000000
χ362-22-2−2i2i−2i2i00002222-2-200-2-200−2i−2i2i2i−2i2i0000−2i2i0000−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i2i−2i-220000000000000000000000
χ374444444444441-21-21-2111-2111-21-2111111-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ384444444444441-21-21-2111-2111-21-2111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000
χ39444444444444-21-21-21-2-2-21-2-2-21-21-2-2-2-2-2-211111100000000000000000000000000002222-1-1-1-1-1-1-1-10000000000
χ40444444444444-21-21-21-2-2-21-2-2-21-21-2-2-2-2-2-21111110000000000000000000000000000-2-2-2-2111111110000000000
χ4144444444-4-4-4-41-21-21-2-1-11-2-1-11-21-211-1-1-1-1-2-222222i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000000000
χ4244444444-4-4-4-41-21-21-2-1-11-2-1-11-21-211-1-1-1-1-2-22222−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i00000000000000000000000000
χ4344444444-4-4-4-4-21-21-2122-2122-21-21-2-2222211-1-1-1-1000000000000000000000000000022-2-2-1-1-1-111110000000000
χ4444444444-4-4-4-4-21-21-2122-2122-21-21-2-2222211-1-1-1-10000000000000000000000000000-2-2221111-1-1-1-10000000000
χ454444-4-4-4-444-4-41-21-21-2111-211-12-12-1-1-1-1-1-122-2-22222-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000000000
χ464444-4-4-4-444-4-41-21-21-2111-211-12-12-1-1-1-1-1-122-2-222-2-222-2-2221111-1-1-1-11111-1-1-1-100000000000000000000000000
χ474444-4-4-4-444-4-4-21-21-21-2-2-21-2-22-12-1222222-1-111-1-100000000000000000000000000002i−2i2i−2i−i−iii−i−iii0000000000
χ484444-4-4-4-444-4-4-21-21-21-2-2-21-2-22-12-1222222-1-111-1-10000000000000000000000000000−2i2i−2i2iii−i−iii−i−i0000000000
χ494444-4-4-4-4-4-4441-21-21-2-1-11-2-1-1-12-12-1-111112222-2-22i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000
χ504444-4-4-4-4-4-4441-21-21-2-1-11-2-1-1-12-12-1-111112222-2-2−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000
χ514444-4-4-4-4-4-444-21-21-2122-21222-12-122-2-2-2-2-1-1-1-11100000000000000000000000000002i−2i−2i2i−i−iiiii−i−i0000000000
χ524444-4-4-4-4-4-444-21-21-2122-21222-12-122-2-2-2-2-1-1-1-1110000000000000000000000000000−2i2i2i−2iii−i−i−i−iii0000000000
χ5344-4-444-4-44-44-41-2-12-12111-2-1-11-21-2-1-111-1-122-22-22000000003−33−33−33−33−33−33−33−300000000000000000000000000
χ5444-4-444-4-44-44-41-2-12-12111-2-1-11-21-2-1-111-1-122-22-2200000000−33−33−33−33−33−33−33−3300000000000000000000000000
χ5544-4-444-4-44-44-4-212-12-1-2-2-2122-21-2122-2-222-1-11-11-1000000000000000000000000000000003−33−33−33−30000000000
χ5644-4-444-4-44-44-4-212-12-1-2-2-2122-21-2122-2-222-1-11-11-100000000000000000000000000000000−33−33−33−330000000000
χ5744-4-444-4-4-44-441-2-12-12-1-11-2111-21-2-1-1-1-111222-22-200000000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000
χ5844-4-444-4-4-44-441-2-12-12-1-11-2111-21-2-1-1-1-111222-22-200000000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000
χ5944-4-444-4-4-44-44-212-12-122-21-2-2-21-212222-2-2-1-1-11-11000000000000000000000000000000003−33−3−33−330000000000
χ6044-4-444-4-4-44-44-212-12-122-21-2-2-21-212222-2-2-1-1-11-1100000000000000000000000000000000−33−333−33−30000000000
χ6144-4-4-4-4444-4-441-2-12-12111-2-1-1-12-1211-1-111-2-2-222-2000000003−33−3−33−333−33−3−33−3300000000000000000000000000
χ6244-4-4-4-4444-4-441-2-12-12111-2-1-1-12-1211-1-111-2-2-222-200000000−33−333−33−3−33−333−33−300000000000000000000000000
χ6344-4-4-4-4444-4-44-212-12-1-2-2-21222-12-1-2-222-2-2111-1-1100000000000000000000000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ6444-4-4-4-4444-4-44-212-12-1-2-2-21222-12-1-2-222-2-2111-1-1100000000000000000000000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ6544-4-4-4-444-444-41-2-12-12-1-11-211-12-121111-1-1-2-22-2-2200000000−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i300000000000000000000000000
χ6644-4-4-4-444-444-41-2-12-12-1-11-211-12-121111-1-1-2-22-2-2200000000i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i300000000000000000000000000
χ6744-4-4-4-444-444-4-212-12-122-21-2-22-12-1-2-2-2-22211-111-100000000000000000000000000000000−i3i3i3−i3i3−i3−i3i30000000000
χ6844-4-4-4-444-444-4-212-12-122-21-2-22-12-1-2-2-2-22211-111-100000000000000000000000000000000i3−i3−i3i3−i3i3i3−i30000000000
χ694-44-44i−4i4i−4i00001-21-2-123-3-123-3i−2i−i2ii−i3i−3i3i−3i−2i2i00002-2−2i2i2-22i−2i-1-111ii−i−i-1-111−i−iii00000000000000000000000000
χ704-44-44i−4i4i−4i00001-21-2-123-3-123-3i−2i−i2ii−i3i−3i3i−3i−2i2i0000-222i−2i-22−2i2i11-1-1−i−iii11-1-1ii−i−i00000000000000000000000000
χ714-44-44i−4i4i−4i00001-21-2-12-33-12-33i−2i−i2ii−i−3i3i−3i3i−2i2i00002i−2i2-2−2i2i2-2−i−iii-1-111ii−i−i-1-11100000000000000000000000000
χ724-44-44i−4i4i−4i00001-21-2-12-33-12-33i−2i−i2ii−i−3i3i−3i3i−2i2i0000−2i2i-222i−2i-22ii−i−i11-1-1−i−iii11-1-100000000000000000000000000
χ734-44-4−4i4i−4i4i00001-21-2-123-3-123-3−i2ii−2i−ii−3i3i−3i3i2i−2i00002-22i−2i2-2−2i2i-1-111−i−iii-1-111ii−i−i00000000000000000000000000
χ744-44-4−4i4i−4i4i00001-21-2-123-3-123-3−i2ii−2i−ii−3i3i−3i3i2i−2i0000-22−2i2i-222i−2i11-1-1ii−i−i11-1-1−i−iii00000000000000000000000000
χ754-44-4−4i4i−4i4i00001-21-2-12-33-12-33−i2ii−2i−ii3i−3i3i−3i2i−2i00002i−2i-22−2i2i-22−i−iii11-1-1ii−i−i11-1-100000000000000000000000000
χ764-44-4−4i4i−4i4i00001-21-2-12-33-12-33−i2ii−2i−ii3i−3i3i−3i2i−2i0000−2i2i2-22i−2i2-2ii−i−i-1-111−i−iii-1-11100000000000000000000000000
χ774-4-444i−4i−4i4i00001-2-121-23-3-12-33i−2i−i2i−ii3i−3i−3i3i2i−2i0000000000003−3−33−i3i3i3−i33−3−33i3−i3−i3i300000000000000000000000000
χ784-4-444i−4i−4i4i00001-2-121-23-3-12-33i−2i−i2i−ii3i−3i−3i3i2i−2i000000000000−333−3i3−i3−i3i3−333−3−i3i3i3−i300000000000000000000000000
χ794-4-444i−4i−4i4i00001-2-121-2-33-123-3i−2i−i2i−ii−3i3i3i−3i2i−2i000000000000−i3i3i3−i3−333−3i3−i3−i3i3−333−300000000000000000000000000
χ804-4-444i−4i−4i4i00001-2-121-2-33-123-3i−2i−i2i−ii−3i3i3i−3i2i−2i000000000000i3−i3−i3i33−3−33−i3i3i3−i33−3−3300000000000000000000000000
χ814-4-444i−4i−4i4i000044-4-44400-4-4004i4i−4i−4i−4i4i0000−4i4i000000000000000000000000000000000000000000000000000000
χ824-4-44−4i4i4i−4i00001-2-121-23-3-12-33−i2ii−2ii−i−3i3i3i−3i−2i2i0000000000003−3−33i3−i3−i3i33−3−33−i3i3i3−i300000000000000000000000000
χ834-4-44−4i4i4i−4i00001-2-121-23-3-12-33−i2ii−2ii−i−3i3i3i−3i−2i2i000000000000−333−3−i3i3i3−i3−333−3i3−i3−i3i300000000000000000000000000
χ844-4-44−4i4i4i−4i00001-2-121-2-33-123-3−i2ii−2ii−i3i−3i−3i3i−2i2i000000000000−i3i3i3−i33−3−33i3−i3−i3i33−3−3300000000000000000000000000
χ854-4-44−4i4i4i−4i00001-2-121-2-33-123-3−i2ii−2ii−i3i−3i−3i3i−2i2i000000000000i3−i3−i3i3−333−3−i3i3i3−i3−333−300000000000000000000000000
χ864-4-44−4i4i4i−4i000044-4-44400-4-400−4i−4i4i4i4i−4i00004i−4i000000000000000000000000000000000000000000000000000000
χ878-88-88i−8i8i−8i0000-42-424-2004-200−4i2i4i−2i−4i4i00002i−2i000000000000000000000000000000000000000000000000000000
χ888-88-8−8i8i−8i8i0000-42-424-2004-2004i−2i−4i2i4i−4i0000−2i2i000000000000000000000000000000000000000000000000000000
χ898-8-888i−8i−8i8i0000-424-2-42004-200−4i2i4i−2i4i−4i0000−2i2i000000000000000000000000000000000000000000000000000000
χ908-8-88−8i8i8i−8i0000-424-2-42004-2004i−2i−4i2i−4i4i00002i−2i000000000000000000000000000000000000000000000000000000

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