Finite Group Databasebeta

← Group #11798642

Character table — Group #11798642

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122222444444444448888888888888888816161616161624242424242448484848484848484872727272
order122336622346666666246666666666666121261212121212246612124481212121224242444
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
χ5111111111111111111-1-11-1-11-1-111-1-1-1-111111-1-1-1-1111111-11-1-1-111-1-11-11-1
χ6111111111111111111-1-11-1-11-1-111-1-1-1-111111-1-1-1-1111111-1-11-1-1-1-111-11-11
χ7111111111111111111-1-11-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-11-11
χ8111111111111111111-1-11-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11-1111-1-1111-11-1
χ922222222-22-222222222-2222-222222222-2-2-2-2-2-2-2-2-20000000000000000000
χ1022222222-22-22222222-222-2-2-2-2-222-2-2-2-2-2-2-2-2-222220000000000000000000
χ112222222-222-222222-2-200-200200-2-200002-2-22-2000000000000000000020-20
χ122222222-222-222222-2-200-200200-2-200002-2-22-20000000000000000000-2020
χ132222222-2-22222222-2-200-200-200-2-20000-222-220000000000000000000020-2
χ142222222-2-22222222-2-200-200-200-2-20000-222-2200000000000000000000-202
χ152222-12-122-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12-12-1-12-1-1-122-1-1-1-1200-1-100000000
χ162222-12-122-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12-12-1-12-1-1-1-2-21111-2001100000000
χ172222-12-122-122-1-1-1-1-1-1-2-22-2-2-111-1-111112-12-1-1-211122-1-1-1-1-2001100000000
χ182222-12-122-122-1-1-1-1-1-1-2-22-2-2-111-1-111112-12-1-1-2111-2-21111200-1-100000000
χ192222-12-12-2-1-22-1-1-1-1-1-12-22221-1-1-1-1-1-1-1-1-21-211-211100−i3i3−i3i3000−i3i300000000
χ202222-12-12-2-1-22-1-1-1-1-1-12-22221-1-1-1-1-1-1-1-1-21-211-211100i3−i3i3−i3000i3−i300000000
χ212222-12-12-2-1-22-1-1-1-1-1-1-222-2-2111-1-11111-21-2112-1-1-100−i3i3−i3i3000i3−i300000000
χ222222-12-12-2-1-22-1-1-1-1-1-1-222-2-2111-1-11111-21-2112-1-1-100i3−i3i3−i3000−i3i300000000
χ23222-12-1222-12-12-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-1-1-12-1-100000002200-1-1-1-10000
χ24222-12-1222-12-12-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-1-1-12-1-10000000-2-20011110000
χ25222-12-1222-12-12-1-1-122-2-2-1112-2-2-1-11111-12-1-1-11-21100000002-200-1-1110000
χ26222-12-1222-12-12-1-1-122-2-2-1112-2-2-1-11111-12-1-1-11-2110000000-220011-1-10000
χ27222-12-122-2-1-2-12-1-1-1222-2-1-1-1-222-1-1-1-1-1-11-21111-211000000000003−33−30000
χ28222-12-122-2-1-2-12-1-1-1222-2-1-1-1-222-1-1-1-1-1-11-21111-21100000000000−33−330000
χ29222-12-122-2-1-2-12-1-1-122-22-111-2-2-2-1-111111-2111-12-1-1000000000003−3−330000
χ30222-12-122-2-1-2-12-1-1-122-22-111-2-2-2-1-111111-2111-12-1-100000000000−333−30000
χ314444-24-2-44-2-44-2-2-2-22200-400-20022000042-4-2200000000000000000000000
χ324444-24-2-4-4-244-2-2-2-22200-400200220000-4-242-200000000000000000000000
χ33444-24-24-44-2-4-24-2-2-2-4-400200400220000-2-42-2200000000000000000000000
χ34444-24-24-4-4-24-24-2-2-2-4-400200-40022000024-22-200000000000000000000000
χ35444-2-2-2-24414-2-2111-2-244-2-2-2-2-2-2111111-2-2-211-2-2110000000000000000000
χ36444-2-2-2-24414-2-2111-2-2-4-4-222-22211-1-1-1-1-2-2-21122-1-10000000000000000000
χ37444-2-2-2-24-41-4-2-2111-2-24-4-2-2-22-2-2111111222-1-122-1-10000000000000000000
χ38444-2-2-2-24-41-4-2-2111-2-2-44-22222211-1-1-1-1222-1-1-2-2110000000000000000000
χ39444-2-2-2-2-441-4-2-21112200200-200-1-133-3-3-2221-1003-30000000000000000000
χ40444-2-2-2-2-441-4-2-21112200200-200-1-1-3-333-2221-100-330000000000000000000
χ41444-2-2-2-2-4-414-2-21112200200200-1-133-3-32-2-2-1100-330000000000000000000
χ42444-2-2-2-2-4-414-2-21112200200200-1-1-3-3332-2-2-11003-30000000000000000000
χ4344-444440040-4-44-4-400000000000000000000000002-222-2-20000000000000
χ4444-444440040-4-44-4-40000000000000000000000000-22-2-2220000000000000
χ4544-44-24-200-20-42-222−2i32i300000000−2i32i300000000000002-2−1−i3−1+i31+i31−i30000000000000
χ4644-44-24-200-20-42-222−2i32i300000000−2i32i30000000000000-221+i31−i3−1−i3−1+i30000000000000
χ4744-44-24-200-20-42-2222i3−2i3000000002i3−2i300000000000002-2−1+i3−1−i31−i31+i30000000000000
χ4844-44-24-200-20-42-2222i3−2i3000000002i3−2i30000000000000-221−i31+i3−1+i3−1−i30000000000000
χ4988-8-48-4800-404-8-44400000000000000000000000000000000000000000000
χ5088-8-4-4-4-40020442-2-2−4i34i3000000002i3−2i300000000000000000000000000000000
χ5188-8-4-4-4-40020442-2-24i3−4i300000000−2i32i300000000000000000000000000000000
χ528-8088-8-8008000-80000000000000000000000000000000000000000000000
χ538-808-4-8400-400040000000000−2i32i300−2i32i3−2i32i30000000000000000000000000000
χ548-808-4-8400-4000400000000002i3−2i3002i3−2i32i3−2i30000000000000000000000000000
χ558-80-484-800-400040000000−2i32i300000−2i32i32i3−2i30000000000000000000000000000
χ568-80-484-800-4000400000002i3−2i3000002i3−2i3−2i32i30000000000000000000000000000
χ578-80-4-444002000-26-600000−2i32i30−2i32i3002i3−2i3000000000000000000000000000000
χ588-80-4-444002000-26-6000002i3−2i302i3−2i300−2i32i3000000000000000000000000000000
χ598-80-4-444002000-2-6600000−2i32i302i3−2i30000−2i32i30000000000000000000000000000
χ608-80-4-444002000-2-66000002i3−2i30−2i32i300002i3−2i30000000000000000000000000000

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