Finite Group Databasebeta

← Group #11798728

Character table — Group #11798728

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122222444444444448888888888888888816161616161624242424242448484848484848484872727272
order1223366223466666121244666612121212121212121212126612121212246612124481212121224244444
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-111-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-111-1-1-1-11-11-1
χ6111111111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-1-111-1-1-11-11
χ7111111111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111-1-111-11-11
χ8111111111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-1
χ922222222-22-222222-2-2002-22-2-200000000-2-22-2000000000000000000020-20
χ1022222222-22-222222-2-2002-22-2-200000000-2-22-20000000000000000000-2020
χ112222222-222-222222-2-200-22-22-200000000-2-2-220000000000000000000020-2
χ122222222-222-222222-2-200-22-22-200000000-2-2-2200000000000000000000-202
χ132222222-2-22222222222-2-2-2-2-22-2-2-2-2-2-2-2-222-2-222220000000000000000000
χ142222222-2-2222222222-22-2-2-2-222222222222-2-2-2-2-2-20000000000000000000
χ152222-12-122-122-1-1-1-1-1-122-1-122222-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-10020000-1-10000
χ162222-12-122-122-1-1-1-1-1-122-1-122222-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2111100-20000110000
χ172222-12-122-122-1-1-1-1-1-1-2-2-1-1222-2-2111111-1-1-1-1-211122-1-1-1-100-20000110000
χ182222-12-122-122-1-1-1-1-1-1-2-2-1-1222-2-2111111-1-1-1-1-2111-2-211110020000-1-10000
χ192222-12-1-2-2-122-1-1-1-1-1-12-211-2-22-2-2111111-1-1112-1-1-100−i3i3−i3i30000000−i3i30000
χ202222-12-1-2-2-122-1-1-1-1-1-12-211-2-22-2-2111111-1-1112-1-1-100i3−i3i3−i30000000i3−i30000
χ212222-12-1-2-2-122-1-1-1-1-1-1-2211-2-2222-1-1-1-1-1-1-1-111-211100−i3i3−i3i30000000i3−i30000
χ222222-12-1-2-2-122-1-1-1-1-1-1-2211-2-2222-1-1-1-1-1-1-1-111-211100i3−i3i3−i30000000−i3i30000
χ23222-12-1222-12-12-1-1-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-12-1-1000000220-1-1-1-1000000
χ24222-12-1222-12-12-1-1-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-12-1-1000000-2-201111000000
χ25222-12-1222-12-12-1-1-122-2-222-1-1-111-2-21111-1-1-1-11-2110000002-20-1-111000000
χ26222-12-1222-12-12-1-1-122-2-222-1-1-111-2-21111-1-1-1-11-211000000-22011-1-1000000
χ27222-12-12-2-2-12-12-1-1-1222-2-2-211-111-2-21111-1-111-12-1-10000000003−33−3000000
χ28222-12-12-2-2-12-12-1-1-1222-2-2-211-111-2-21111-1-111-12-1-1000000000−33−33000000
χ29222-12-12-2-2-12-12-1-1-122-22-2-211-1-1-122-1-1-1-1-1-1111-2110000000003−3−33000000
χ30222-12-12-2-2-12-12-1-1-122-22-2-211-1-1-122-1-1-1-1-1-1111-211000000000−333−3000000
χ314444-24-24-4-2-44-2-2-2-22200-224-4-40000000022-2200000000000000000000000
χ324444-24-2-44-2-44-2-2-2-222002-2-44-400000000222-200000000000000000000000
χ33444-24-244-4-2-4-24-2-2-2-4-4004-4-2220000000022-2200000000000000000000000
χ34444-24-24-44-2-4-24-2-2-2-4-400-442-2200000000222-200000000000000000000000
χ35444-2-2-2-24414-2-2111-2-244-2-2-2-2-2-2-2-2-211111111-2-2110000000000000000000
χ36444-2-2-2-24414-2-2111-2-2-4-4-2-2-2-2-22222-1-1-1-1111122-1-10000000000000000000
χ37444-2-2-2-24-41-4-2-21112200-22-222000033-3-3-1-11-1003-30000000000000000000
χ38444-2-2-2-24-41-4-2-21112200-22-2220000-3-333-1-11-100-330000000000000000000
χ39444-2-2-2-2-441-4-2-211122002-22-22000033-3-3-1-1-1100-330000000000000000000
χ40444-2-2-2-2-441-4-2-211122002-22-220000-3-333-1-1-11003-30000000000000000000
χ41444-2-2-2-2-4-414-2-2111-2-24-42222-22222-1-1-1-111-1-1-2-2110000000000000000000
χ42444-2-2-2-2-4-414-2-2111-2-2-442222-2-2-2-2-2111111-1-122-1-10000000000000000000
χ4344-444440040-4-4-4-4400000000000000000000000002-222-2-20000000000000
χ4444-444440040-4-4-4-440000000000000000000000000-22-2-2220000000000000
χ4544-44-24-200-20-4222-2−2i32i3000000000000000−2i32i30000002-2−1−i3−1+i31+i31−i30000000000000
χ4644-44-24-200-20-4222-2−2i32i3000000000000000−2i32i3000000-221+i31−i3−1−i3−1+i30000000000000
χ4744-44-24-200-20-4222-22i3−2i30000000000000002i3−2i30000002-2−1+i3−1−i31−i31+i30000000000000
χ4844-44-24-200-20-4222-22i3−2i30000000000000002i3−2i3000000-221−i31+i3−1+i3−1−i30000000000000
χ4988-8-48-4800-404-844-400000000000000000000000000000000000000000000
χ5088-8-4-4-4-4002044-2-22−4i34i30000000000000002i3−2i30000000000000000000000000
χ5188-8-4-4-4-4002044-2-224i3−4i3000000000000000−2i32i30000000000000000000000000
χ528-8088-8-800800000-800000000000000000000000000000000000000000000
χ538-808-4-8400-40000040000000000023−2323−2323−23000000000000000000000000000
χ548-808-4-8400-400000400000000000−2323−2323−2323000000000000000000000000000
χ558-80-484-800-400000400000000023−230023−23−2323000000000000000000000000000
χ568-80-484-800-4000004000000000−232300−232323−23000000000000000000000000000
χ578-80-4-4440020006-6-200000000023−2323−23−232300000000000000000000000000000
χ588-80-4-4440020006-6-2000000000−2323−232323−2300000000000000000000000000000
χ598-80-4-444002000-66-200000000023−23−23230023−23000000000000000000000000000
χ608-80-4-444002000-66-2000000000−232323−2300−2323000000000000000000000000000

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