Finite Group Databasebeta

← Group #11798747

Character table — Group #11798747

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122222444444444448888888888888888816161616161624242424242448484848484848484872727272
order122336634446666612122412121212121212121212121212121266661212246612128882424242424242244
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1-1-111-1-11-11-1
χ6111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11-1-1-1-111-11-11
χ7111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-11111-1-1-11-11
χ8111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-1111-1-1111-11-1
χ9222222222-2-222222222-22-2-2-2-2-2-2-2-2-2-222-2-22222-2-20000000000000000000
χ10222222222-2-22222222-222-2-22222222222-2-2-2-2-2-2-2-20000000000000000000
χ1122222222-22-222222-2-200-22-200000000-2-22-200002-200000000000000020-20
χ1222222222-22-222222-2-200-22-200000000-2-22-200002-2000000000000000-2020
χ1322222222-2-2222222-2-200-2-2200000000-2-2-220000-22000000000000000020-2
χ1422222222-2-2222222-2-200-2-2200000000-2-2-220000-220000000000000000-202
χ152222-12-1-12222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-122-1-1-1-1200-1-100000000
χ162222-12-1-12222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-1-2-21111-2001100000000
χ172222-12-1-12222-1-1-1-1-1-1-2-22-1-1-2-2111111-1-122-2111-1-122-1-1-1-1-2001100000000
χ182222-12-1-12222-1-1-1-1-1-1-2-22-1-1-2-2111111-1-122-2111-1-1-2-21111200-1-100000000
χ192222-12-1-12-2-22-1-1-1-1-1-12-2211-2-2111111-1-1-2-22-1-1-11100−i3i3−i3i3000−i3i300000000
χ202222-12-1-12-2-22-1-1-1-1-1-12-2211-2-2111111-1-1-2-22-1-1-11100i3−i3i3−i3000i3−i300000000
χ212222-12-1-12-2-22-1-1-1-1-1-1-2221122-1-1-1-1-1-1-1-1-2-2-21111100−i3i3−i3i3000i3−i300000000
χ222222-12-1-12-2-22-1-1-1-1-1-1-2221122-1-1-1-1-1-1-1-1-2-2-21111100i3−i3i3−i3000−i3i300000000
χ23222-12-12-1222-12-1-1-12222-122-1-122-1-1-1-1-1-1-1-1-12-1-1-1-100000002200-1-1-1-10000
χ24222-12-12-1222-12-1-1-12222-122-1-122-1-1-1-1-1-1-1-1-12-1-1-1-10000000-2-20011110000
χ25222-12-12-1222-12-1-1-122-2-2-12211-2-21111-1-1-1-11-211-1-100000002-200-1-1110000
χ26222-12-12-1222-12-1-1-122-2-2-12211-2-21111-1-1-1-11-211-1-10000000-220011-1-10000
χ27222-12-12-12-2-2-12-1-1-1222-2-1-2-211-2-21111-1-111-12-1-111000000000003−33−30000
χ28222-12-12-12-2-2-12-1-1-1222-2-1-2-211-2-21111-1-111-12-1-11100000000000−33−330000
χ29222-12-12-12-2-2-12-1-1-122-22-1-2-2-1-122-1-1-1-1-1-1111-21111000000000003−3−330000
χ30222-12-12-12-2-2-12-1-1-122-22-1-2-2-1-122-1-1-1-1-1-1111-2111100000000000−333−30000
χ314444-24-2-2-44-44-2-2-2-22200-4-2200000000224-40000-220000000000000000000
χ324444-24-2-2-4-444-2-2-2-22200-42-20000000022-4400002-20000000000000000000
χ33444-24-24-2-44-4-24-2-2-2-4-40024-40000000022-220000-220000000000000000000
χ34444-24-24-2-4-44-24-2-2-2-4-4002-4400000000222-200002-20000000000000000000
χ35444-2-2-2-21444-2-2111-2-244-2-2-2-2-2-2-2111111-2-2-2-211110000000000000000000
χ36444-2-2-2-21444-2-2111-2-2-4-4-2-2-22222-1-1-1-111-2-222-1-1110000000000000000000
χ37444-2-2-2-214-4-4-2-2111-2-24-4-2222222-1-1-1-11122-2-211-1-10000000000000000000
χ38444-2-2-2-214-4-4-2-2111-2-2-44-222-2-2-2-21111112222-1-1-1-10000000000000000000
χ39444-2-2-2-21-44-4-2-211122002-22000033-3-3-1-1-22003-31-10000000000000000000
χ40444-2-2-2-21-44-4-2-211122002-220000-3-333-1-1-2200-331-10000000000000000000
χ41444-2-2-2-21-4-44-2-2111220022-2000033-3-3-1-12-200-33-110000000000000000000
χ42444-2-2-2-21-4-44-2-2111220022-20000-3-333-1-12-2003-3-110000000000000000000
χ4344-444444000-4-4-4-4400000000000000000000000002-222-2-20000000000000
χ4444-444444000-4-4-4-440000000000000000000000000-22-2-2220000000000000
χ4544-44-24-2-2000-4222-2−2i32i30000000000000−2i32i3000000002-2−1−i3−1+i31+i31−i30000000000000
χ4644-44-24-2-2000-4222-2−2i32i30000000000000−2i32i300000000-221+i31−i3−1−i3−1+i30000000000000
χ4744-44-24-2-2000-4222-22i3−2i300000000000002i3−2i3000000002-2−1+i3−1−i31−i31+i30000000000000
χ4844-44-24-2-2000-4222-22i3−2i300000000000002i3−2i300000000-221−i31+i3−1+i3−1−i30000000000000
χ4988-8-48-48-40004-844-400000000000000000000000000000000000000000000
χ5088-8-4-4-4-4200044-2-22−4i34i300000000000002i3−2i3000000000000000000000000000
χ5188-8-4-4-4-4200044-2-224i3−4i30000000000000−2i32i3000000000000000000000000000
χ528-8088-8-880000000-800000000000000000000000000000000000000000000
χ538-808-4-84-40000000400000000023−2323−2323−2300000000000000000000000000000
χ548-808-4-84-400000004000000000−2323−2323−232300000000000000000000000000000
χ558-80-484-8-400000004000000023−230023−23−232300000000000000000000000000000
χ568-80-484-8-4000000040000000−232300−232323−2300000000000000000000000000000
χ578-80-4-4442000006-6-2000000023−2323−23−23230000000000000000000000000000000
χ588-80-4-4442000006-6-20000000−2323−232323−230000000000000000000000000000000
χ598-80-4-444200000-66-2000000023−23−23230023−2300000000000000000000000000000
χ608-80-4-444200000-66-20000000−232323−2300−232300000000000000000000000000000

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