Finite Group Databasebeta

← Group #11771822

Character table — Group #11771822

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112244444444444444448888888888888888888888888883636363672727272727272727272
order12222233666666666666662246666666666666666121212121212121244444488888888
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
χ51111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1
χ61111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111
χ71111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111ii−i−i−i−iii
χ81111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111−i−iiiii−i−i
χ9222222222222222222222200-20000000000000000-2-2-2-2-2-2-2-22-2-220000000000
χ10222222222222222222222200-20000000000000000-2-2-2-2-2-2-2-2-222-20000000000
χ112-22-22-222222222-2-2-2-2-2-2-2-200000000000000000000000000002i−2i00000001+i−1−i1−i−1+i
χ122-22-22-222222222-2-2-2-2-2-2-2-200000000000000000000000000002i−2i0000000−1−i1+i−1+i1−i
χ132-22-22-222222222-2-2-2-2-2-2-2-20000000000000000000000000000−2i2i00000001−i−1+i1+i−1−i
χ142-22-22-222222222-2-2-2-2-2-2-2-20000000000000000000000000000−2i2i0000000−1+i1−i−1−i1+i
χ152-22-2-222222-2-2-2-22222-2-2-2-2000000000000000000000000000200-200−i2i2−i2i20000
χ162-22-2-222222-2-2-2-22222-2-2-2-2000000000000000000000000000200-200i2−i2i2−i20000
χ172-22-2-222222-2-2-2-22222-2-2-2-2000000000000000000000000000-2002002−2−220000
χ182-22-2-222222-2-2-2-22222-2-2-2-2000000000000000000000000000-200200−222−20000
χ194444441-21-211-2-211-2-21-21-200-4000000003333-3-3-3-32222-1-1-1-100000000000000
χ204444441-21-211-2-211-2-21-21-200-400000000-3-3-3-333332222-1-1-1-100000000000000
χ214444441-21-211-2-211-2-21-21-2444-2-2-2-2-2-2-2-211111111-2-2-2-2111100000000000000
χ224444441-21-211-2-211-2-21-21-2-4-4422222222-1-1-1-1-1-1-1-1-2-2-2-2111100000000000000
χ23444444-21-21-2-211-2-211-21-2100-43333-3-3-3-300000000-1-1-1-1222200000000000000
χ24444444-21-21-2-211-2-211-21-2100-4-3-3-3-3333300000000-1-1-1-1222200000000000000
χ25444444-21-21-2-211-2-211-21-2144411111111-2-2-2-2-2-2-2-21111-2-2-2-200000000000000
χ26444444-21-21-2-211-2-211-21-21-4-44-1-1-1-1-1-1-1-1222222221111-2-2-2-200000000000000
χ274444-4-41-21-2-1-122-1-1221-21-20000000−2i3−2i32i32i3−i3−i3i3i3−i3−i3i3i3000033-3-300000000000000
χ284444-4-41-21-2-1-122-1-1221-21-200000002i32i3−2i3−2i3i3i3−i3−i3i3i3−i3−i3000033-3-300000000000000
χ294444-4-41-21-2-1-122-1-1221-21-2000−2i3−2i32i32i30000−i3−i3i3i3i3i3−i3−i30000-3-33300000000000000
χ304444-4-41-21-2-1-122-1-1221-21-20002i32i3−2i3−2i30000i3i3−i3−i3−i3−i3i3i30000-3-33300000000000000
χ314444-4-44444-4-4-4-4-4-4-4-4444400000000000000000000000000000000000000000
χ324444-4-4-21-2122-1-122-1-1-21-21000−i3−i3i3i3−i3−i3i3i32i32i3−2i3−2i3000033-3-3000000000000000000
χ334444-4-4-21-2122-1-122-1-1-21-21000−i3−i3i3i3i3i3−i3−i30000−2i3−2i32i32i3-3-333000000000000000000
χ344444-4-4-21-2122-1-122-1-1-21-21000i3i3−i3−i3−i3−i3i3i300002i32i3−2i3−2i3-3-333000000000000000000
χ354444-4-4-21-2122-1-122-1-1-21-21000i3i3−i3−i3i3i3−i3−i3−2i3−2i32i32i3000033-3-3000000000000000000
χ3644-4-40044-4-40000000044-4-400000000000000000000000000000002i−2i00000000
χ3744-4-40044-4-40000000044-4-40000000000000000000000000000000−2i2i00000000
χ384-4-44001-2-123-3003-300-121-22-201+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i32−i3−2+i32+i3−2−i31-11-100−2i32i3−i3i3−i3i300000000000000
χ394-4-44001-2-123-3003-300-121-22-201−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i32+i3−2−i32−i3−2+i31-11-1002i3−2i3i3−i3i3−i300000000000000
χ404-4-44001-2-123-3003-300-121-2-220−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−2+i32−i3−2−i32+i3-11-1100−2i32i3−i3i3−i3i300000000000000
χ414-4-44001-2-123-3003-300-121-2-220−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−2−i32+i3−2+i32−i3-11-11002i3−2i3i3−i3i3−i300000000000000
χ424-4-44001-2-12-3300-3300-121-22-201+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i3-11-11−2−i32+i3−2+i32−i3−2i32i300−i3i3i3−i300000000000000
χ434-4-44001-2-12-3300-3300-121-22-201−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i3-11-11−2+i32−i3−2−i32+i32i3−2i300i3−i3−i3i300000000000000
χ444-4-44001-2-12-3300-3300-121-2-220−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i31-11-12+i3−2−i32−i3−2+i3−2i32i300−i3i3i3−i300000000000000
χ454-4-44001-2-12-3300-3300-121-2-220−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i31-11-12−i3−2+i32+i3−2−i32i3−2i300i3−i3−i3i300000000000000
χ464-4-440044-4-400000000-4-4442-20-22-22-22-222-22-2-22-220000000000000000000000
χ474-4-440044-4-400000000-4-444-2202-22-22-22-2-22-222-22-20000000000000000000000
χ484-4-4400-212-1003-3003-32-1-212-201-11-1−2+i32−i3−2−i32+i3−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i3i3−i3−i3i3002i3−2i300000000000000
χ494-4-4400-212-1003-3003-32-1-212-201-11-1−2−i32+i3−2+i32−i3−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i3−i3i3i3−i300−2i32i300000000000000
χ504-4-4400-212-1003-3003-32-1-21-220-11-112+i3−2−i32−i3−2+i31+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i3−i3i3i3−i300−2i32i300000000000000
χ514-4-4400-212-1003-3003-32-1-21-220-11-112−i3−2+i32+i3−2−i31−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i3i3−i3−i3i3002i3−2i300000000000000
χ524-4-4400-212-100-3300-332-1-212-20−2+i32−i3−2−i32+i31-11-1−1+i31−i3−1−i31+i31+i3−1−i31−i3−1+i3−i3i3−i3i32i3−2i30000000000000000
χ534-4-4400-212-100-3300-332-1-212-20−2−i32+i3−2+i32−i31-11-1−1−i31+i3−1+i31−i31−i3−1+i31+i3−1−i3i3−i3i3−i3−2i32i30000000000000000
χ544-4-4400-212-100-3300-332-1-21-2202+i3−2−i32−i3−2+i3-11-111+i3−1−i31−i3−1+i3−1+i31−i3−1−i31+i3i3−i3i3−i3−2i32i30000000000000000
χ554-4-4400-212-100-3300-332-1-21-2202−i3−2+i32+i3−2−i3-11-111−i3−1+i31+i3−1−i3−1−i31+i3−1+i31−i3−i3i3−i3i32i3−2i30000000000000000
χ5688-8-8002-4-246-600-66002-4-2400000000000000000000000000000000000000000
χ5788-8-8002-4-24-66006-6002-4-2400000000000000000000000000000000000000000
χ5888-8-800-424-2006-600-66-424-200000000000000000000000000000000000000000
χ5988-8-800-424-200-66006-6-424-200000000000000000000000000000000000000000
χ608-88-88-82-42-422-4-4-2-244-24-2400000000000000000000000000000000000000000
χ618-88-88-8-42-42-4-42244-2-24-24-200000000000000000000000000000000000000000
χ628-88-8-882-42-4-2-24422-4-4-24-2400000000000000000000000000000000000000000
χ638-88-8-88-42-4244-2-2-4-4224-24-200000000000000000000000000000000000000000

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