Finite Group Databasebeta

← Group #11771925

Character table — Group #11771925

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112244444444444444448888888888888888888888888883636363672727272727272727272
order122222336666666666666644412121212121212121212121212121212121212121212121222444444448888
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1ii−i−iii−i−i
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1−i−iii−i−iii
χ511111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ611111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ711111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii
χ811111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i
χ92222222222222222222222-200-2-2-2-2-2-2-2-2000000000000000022-2-20000000000
χ102222222222222222222222-200-2-2-2-2-2-2-2-20000000000000000-2-2220000000000
χ1122-2-22-222222222-2-2-2-2-2-2-2-20000000000000000000000000002-2000000002−22−2
χ1222-2-22-222222222-2-2-2-2-2-2-2-20000000000000000000000000002-200000000−22−22
χ1322-2-22-222222222-2-2-2-2-2-2-2-2000000000000000000000000000-2200000000−i2i2i2−i2
χ1422-2-22-222222222-2-2-2-2-2-2-2-2000000000000000000000000000-2200000000i2−i2−i2i2
χ1522-2-2-222222-2-2-2-22222-2-2-2-2000000000000000000000000000002i−2i001+i−1−i1−i−1+i0000
χ1622-2-2-222222-2-2-2-22222-2-2-2-2000000000000000000000000000002i−2i00−1−i1+i−1+i1−i0000
χ1722-2-2-222222-2-2-2-22222-2-2-2-200000000000000000000000000000−2i2i001−i−1+i1+i−1−i0000
χ1822-2-2-222222-2-2-2-22222-2-2-2-200000000000000000000000000000−2i2i00−1+i1−i−1−i1+i0000
χ194444441-21-211-2-211-2-21-21-24441111-2-2-2-211111111-2-2-2-2-2-2-2-200000000000000
χ204444441-21-211-2-211-2-21-21-24-4-41111-2-2-2-2-1-1-1-1-1-1-1-12222222200000000000000
χ214444441-21-211-2-211-2-21-21-2-400-1-1-1-122223333-3-3-3-30000000000000000000000
χ224444441-21-211-2-211-2-21-21-2-400-1-1-1-12222-3-3-3-333330000000000000000000000
χ23444444-21-21-2-211-2-211-21-21444-2-2-2-21111-2-2-2-2-2-2-2-21111111100000000000000
χ24444444-21-21-2-211-2-211-21-214-4-4-2-2-2-2111122222222-1-1-1-1-1-1-1-100000000000000
χ25444444-21-21-2-211-2-211-21-21-4002222-1-1-1-1000000003333-3-3-3-300000000000000
χ26444444-21-21-2-211-2-211-21-21-4002222-1-1-1-100000000-3-3-3-3333300000000000000
χ274444-4-41-21-2-1-122-1-1221-21-200033-3-30000−i3−i3i3i3−i3−i3i3i30000−2i3−2i32i32i300000000000000
χ284444-4-41-21-2-1-122-1-1221-21-200033-3-30000i3i3−i3−i3i3i3−i3−i300002i32i3−2i3−2i300000000000000
χ294444-4-41-21-2-1-122-1-1221-21-2000-3-3330000−i3−i3i3i3i3i3−i3−i3−2i3−2i32i32i3000000000000000000
χ304444-4-41-21-2-1-122-1-1221-21-2000-3-3330000i3i3−i3−i3−i3−i3i3i32i32i3−2i3−2i3000000000000000000
χ314444-4-44444-4-4-4-4-4-4-4-4444400000000000000000000000000000000000000000
χ324444-4-4-21-2122-1-122-1-1-21-21000000033-3-30000−2i3−2i32i32i3−i3−i3i3i3i3i3−i3−i300000000000000
χ334444-4-4-21-2122-1-122-1-1-21-21000000033-3-300002i32i3−2i3−2i3i3i3−i3−i3−i3−i3i3i300000000000000
χ344444-4-4-21-2122-1-122-1-1-21-210000000-3-333−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i300000000000000
χ354444-4-4-21-2122-1-122-1-1-21-210000000-3-3332i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i300000000000000
χ364-44-4001-2-123-3003-300-121-202-2−i3i3−i3i300−2i32i31-11-12+i3−2−i32−i3−2+i31+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i300000000000000
χ374-44-4001-2-123-3003-300-121-202-2i3−i3i3−i3002i3−2i31-11-12−i3−2+i32+i3−2−i31−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i300000000000000
χ384-44-4001-2-123-3003-300-121-20-22−i3i3−i3i300−2i32i3-11-11−2−i32+i3−2+i32−i3−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i300000000000000
χ394-44-4001-2-123-3003-300-121-20-22i3−i3i3−i3002i3−2i3-11-11−2+i32−i3−2−i32+i3−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i300000000000000
χ404-44-4001-2-12-3300-3300-121-202-2−i3i3i3−i3−2i32i300−2+i32−i3−2−i32+i3-11-111+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i300000000000000
χ414-44-4001-2-12-3300-3300-121-202-2i3−i3−i3i32i3−2i300−2−i32+i3−2+i32−i3-11-111−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i300000000000000
χ424-44-4001-2-12-3300-3300-121-20-22−i3i3i3−i3−2i32i3002−i3−2+i32+i3−2−i31-11-1−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i300000000000000
χ434-44-4001-2-12-3300-3300-121-20-22i3−i3−i3i32i3−2i3002+i3−2−i32−i3−2+i31-11-1−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i300000000000000
χ444-44-40044-4-400000000-4-44402-200000000-22-222-22-2-22-22-22-2200000000000000
χ454-44-40044-4-400000000-4-4440-22000000002-22-2-22-222-22-22-22-200000000000000
χ464-44-400-212-1003-3003-32-1-2102-200−2i32i3−i3i3i3−i31−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i31-11-1−2+i32−i3−2−i32+i300000000000000
χ474-44-400-212-1003-3003-32-1-2102-2002i3−2i3i3−i3−i3i31+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i31-11-1−2−i32+i3−2+i32−i300000000000000
χ484-44-400-212-1003-3003-32-1-210-2200−2i32i3−i3i3i3−i3−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i3-11-112−i3−2+i32+i3−2−i300000000000000
χ494-44-400-212-1003-3003-32-1-210-22002i3−2i3i3−i3−i3i3−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i3-11-112+i3−2−i32−i3−2+i300000000000000
χ504-44-400-212-100-3300-332-1-2102-2−2i32i300i3−i3i3−i31+i3−1−i31−i3−1+i3−1+i31−i3−1−i31+i3−2−i32+i3−2+i32−i31-11-100000000000000
χ514-44-400-212-100-3300-332-1-2102-22i3−2i300−i3i3−i3i31−i3−1+i31+i3−1−i3−1−i31+i3−1+i31−i3−2+i32−i3−2−i32+i31-11-100000000000000
χ524-44-400-212-100-3300-332-1-210-22−2i32i300i3−i3i3−i3−1−i31+i3−1+i31−i31−i3−1+i31+i3−1−i32+i3−2−i32−i3−2+i3-11-1100000000000000
χ534-44-400-212-100-3300-332-1-210-222i3−2i300−i3i3−i3i3−1+i31−i3−1−i31+i31+i3−1−i31−i3−1+i32−i3−2+i32+i3−2−i3-11-1100000000000000
χ544-4-440044-4-40000000044-4-400000000000000000000000000000002i−2i00000000
χ554-4-440044-4-40000000044-4-40000000000000000000000000000000−2i2i00000000
χ5688-8-88-82-42-422-4-4-2-244-24-2400000000000000000000000000000000000000000
χ5788-8-88-8-42-42-4-42244-2-24-24-200000000000000000000000000000000000000000
χ5888-8-8-882-42-4-2-24422-4-4-24-2400000000000000000000000000000000000000000
χ5988-8-8-88-42-4244-2-2-4-4224-24-200000000000000000000000000000000000000000
χ608-8-88002-4-246-600-66002-4-2400000000000000000000000000000000000000000
χ618-8-88002-4-24-66006-6002-4-2400000000000000000000000000000000000000000
χ628-8-8800-424-2006-600-66-424-200000000000000000000000000000000000000000
χ638-8-8800-424-200-66006-6-424-200000000000000000000000000000000000000000

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