Finite Group Databasebeta

← Group #11798811

Character table — Group #11798811

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122222444444444888888881212121216161616161616161616162424242424242424242424243636484848484872144
order1223366344466612126121212121212124444812122424242424242424224466121212121212446812242428
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111111-11-1-11-1
χ311111111111111111111111111-1-1111111111111-1-1-1-1-1-1-111-1-1-1-111-111-1-1
χ411111111111111111111111111-1-1-111-1-1-1-1-1-1-1-111-11111111-1-1-1-11-1-1-1-1-11
χ5111111111111111111111111-1-11111111111111-11111111-1-111-1-1-1-11-1-1-1-1
χ6111111111111111111111111-1-111-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-11111-11
χ7111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-11-1111-1
χ9222222222-2-2222222-2-2-2222-200220-2-20000000000-20000000220000-20000
χ10222222222-2-2222222-2-2-2222-200-2-20-2-2000000000020000000-2-2000020000
χ1122222222-22-2222-2-22-22-2-2-2-22000002-2000000000000000000002200000-20
χ1222222222-22-2222-2-22-22-2-2-2-22000002-200000000000000000000-2-20000020
χ1322222222-2-22222-2-222-22-2-2-2-222000-2200000000-20000000220000-2000000
χ1422222222-2-22222-2-222-22-2-2-2-2-2-2000-220000000020000000-2-200002000000
χ152222-12-1-12222-1-1-1-1-12-1-12-1-1200222-1-1-1-122-1-1-1-10222-1-1-1-100-1-10000-10000
χ162222-12-1-12222-1-1-1-1-12-1-12-1-120022-2-1-111-2-211110-22-2111100-1-10000-10000
χ172222-12-1-12222-1-1-1-1-12-1-12-1-1200-2-22-1-1-1-122-1-1-1-10-2-2-211110011000010000
χ182222-12-1-12222-1-1-1-1-12-1-12-1-1200-2-2-2-1-111-2-2111102-22-1-1-1-10011000010000
χ192222-12-1-12-2-22-1-1-1-1-1-2112-1-1-20022011−i3i300−i3−i3i3i300-20−i3i3−i3i300-1-1000010000
χ202222-12-1-12-2-22-1-1-1-1-1-2112-1-1-20022011i3−i300i3i3−i3−i300-20i3−i3i3−i300-1-1000010000
χ212222-12-1-12-2-22-1-1-1-1-1-2112-1-1-200-2-2011−i3i300−i3−i3i3i30020i3−i3i3−i300110000-10000
χ222222-12-1-12-2-22-1-1-1-1-1-2112-1-1-200-2-2011i3−i300i3i3−i3−i30020−i3i3−i3i300110000-10000
χ23222-12-12-1222-12-122-1-122-1-1-1-122002-1-122-1-1-1-1-1-120000000-1-10000-120-1-100
χ24222-12-12-1222-12-122-1-122-1-1-1-12200-2-1-1-2-211111120000000-1-10000-1-201100
χ25222-12-12-1222-12-122-1-122-1-1-1-1-2-2002-1-122-1-1-1-1-1-1-200000001100001-201100
χ26222-12-12-1222-12-122-1-122-1-1-1-1-2-200-2-1-1-2-2111111-20000000110000120-1-100
χ27222-12-12-1-2-22-12-1-2-2-1-1-221111220001-1003−33−33−3-20000000-1-100001003−300
χ28222-12-12-1-2-22-12-1-2-2-1-1-221111220001-100−33−33−33-20000000-1-10000100−3300
χ29222-12-12-1-2-22-12-1-2-2-1-1-221111-2-20001-1003−33−33−320000000110000-100−3300
χ30222-12-12-1-2-22-12-1-2-2-1-1-221111-2-20001-100−33−33−3320000000110000-1003−300
χ314444-24-2-2-44-44-2-222-2-4-22-422400000-2200000000000000000000000000000
χ324444-24-2-2-4-444-2-222-242-2-422-4000002-200000000000000000000000000000
χ33444-24-24-24-4-4-24-244-22-4-4-2-2-22000002200000000000000000000000000000
χ34444-24-24-2-44-4-24-2-4-4-224-4222-200000-2200000000000000000000000000000
χ35444-2-2-2-21444-2-21-2-21-2-2-2-211-20000411-2-2-2-21111000000000000000000000
χ36444-2-2-2-21444-2-21-2-21-2-2-2-211-20000-4112222-1-1-1-1000000000000000000000
χ37444-2-2-2-214-4-4-2-21-2-21222-211200000-1-1−2i32i300i3i3−i3−i3000000000000000000000
χ38444-2-2-2-214-4-4-2-21-2-21222-211200000-1-12i3−2i300−i3−i3i3i3000000000000000000000
χ39444-2-2-2-21-44-4-2-212212-222-1-1-2000001-100003i−3i−3i3i000000000000000000000
χ40444-2-2-2-21-44-4-2-212212-222-1-1-2000001-10000−3i3i3i−3i000000000000000000000
χ41444-2-2-2-21-4-44-2-21221-22-22-1-1200000-110023−23−33−33000000000000000000000
χ42444-2-2-2-21-4-44-2-21221-22-22-1-1200000-1100−23233−33−3000000000000000000000
χ4344-444444000-4-4400-40000000000000000000000020-222-2-20000000000000
χ4444-444444000-4-4400-400000000000000000000000-202-2-2220000000000000
χ4544-44-24-2-2000-42-2−2i32i320000−2i32i30000000000000000020-2−1−i3−1+i31+i31−i30000000000000
χ4644-44-24-2-2000-42-2−2i32i320000−2i32i300000000000000000-2021+i31−i3−1−i3−1+i30000000000000
χ4744-44-24-2-2000-42-22i3−2i3200002i3−2i30000000000000000020-2−1+i3−1−i31−i31+i30000000000000
χ4844-44-24-2-2000-42-22i3−2i3200002i3−2i300000000000000000-2021−i31+i3−1+i3−1−i30000000000000
χ494-4044-4-4400000-400000000002i−2i2-200000000000000000002i−2i2-22i−2i0000000
χ504-4044-4-4400000-400000000002i−2i-2200000000000000000002i−2i-22−2i2i0000000
χ514-4044-4-4400000-40000000000−2i2i2-20000000000000000000−2i2i2-2−2i2i0000000
χ524-4044-4-4400000-40000000000−2i2i-220000000000000000000−2i2i-222i−2i0000000
χ5388-8-48-48-40004-8-40040000000000000000000000000000000000000000000
χ5488-8-4-4-4-42000442−4i34i3-200002i3−2i30000000000000000000000000000000000000
χ5588-8-4-4-4-420004424i3−4i3-20000−2i32i30000000000000000000000000000000000000
χ568-808-4-84-40000040000000000004-4000000000000000000000-22000000000
χ578-808-4-84-4000004000000000000-440000000000000000000002-2000000000
χ588-80-484-8-400000400000000004i−4i000000000000000000000−2i2i00000000000
χ598-80-484-8-40000040000000000−4i4i0000000000000000000002i−2i00000000000
χ6016-160-8-888400000-40000000000000000000000000000000000000000000000

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