Finite Group Databasebeta

← Group #11798618

Character table — Group #11798618

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122222444444444888888881212121216161616161616161616162424242424242424242424243636484848484872144
order1223366223466612126666612121244446682424242424242424224466121212121212444612121244
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11111-111-1-11-1
χ311111111111111111111111111-1-111111111111-1-1-11-1-111-1-1-1-1-1-11-1111-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-11
χ5111111111111111111111111-1-11111111111111111-111-1-11111-1-1-11-1-1-1-1-1
χ6111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-111-111-11
χ7111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1111-1-1111-1
χ922222222-22-2222-2-2-22-222-2-2-200002-20000000000000000000002200000-20
χ1022222222-22-2222-2-2-22-222-2-2-200002-2000000000000000000000-2-20000020
χ112222222-222-2222-2-22-222-2-2-2-22200-22000000000000-2002200000000-20000
χ122222222-222-2222-2-22-222-2-2-2-2-2-200-22000000000000200-2-20000000020000
χ132222222-2-22222222-2-2-22-22220022-2-2000000000-200000000022000-200000
χ142222222-2-22222222-2-2-22-222200-2-2-2-20000000002000000000-2-2000200000
χ152222-12-122-12-12-1-1-12-1-1-122-1-10022-1-12-1-122-1-1-1-12220-1-100-1-1-1-1000-100000
χ162222-12-122-12-12-1-1-12-1-1-122-1-10022-1-1-211-2-211112-2-20110011-1-1000-100000
χ172222-12-122-12-12-1-1-12-1-1-122-1-100-2-2-1-12-1-122-1-1-1-1-2-2-2011001111000100000
χ182222-12-122-12-12-1-1-12-1-1-122-1-100-2-2-1-1-211-2-21111-2220-1-100-1-111000100000
χ192222-12-1-2-2-12-12-1-1-1-211-1-22-1-10022110−i3i300−i3−i3i3i3-2000−i3i300−i3i3-1-1000100000
χ202222-12-1-2-2-12-12-1-1-1-211-1-22-1-10022110i3−i300i3i3−i3−i3-2000i3−i300i3−i3-1-1000100000
χ212222-12-1-2-2-12-12-1-1-1-211-1-22-1-100-2-2110−i3i300−i3−i3i3i32000i3−i300i3−i311000-100000
χ222222-12-1-2-2-12-12-1-1-1-211-1-22-1-100-2-2110i3−i300i3i3−i3−i32000−i3i300−i3i311000-100000
χ23222-12-1222-12-1-1222-122-1-1-1-1-12200-1-1222-1-1-1-1-1-1000200-1-100000020-1-1-100
χ24222-12-1222-12-1-1222-122-1-1-1-1-12200-1-1-2-2-2111111000200-1-1000000-20-11100
χ25222-12-1222-12-1-1222-122-1-1-1-1-1-2-200-1-1222-1-1-1-1-1-1000-20011000000-2011100
χ26222-12-1222-12-1-1222-122-1-1-1-1-1-2-200-1-1-2-2-2111111000-20011000000201-1-100
χ27222-12-12-22-1-2-1-12-2-2-1-22-1111122001-10003−33−33−3000-200-1-10000000013−300
χ28222-12-12-22-1-2-1-12-2-2-1-22-1111122001-1000−33−33−33000-200-1-1000000001−3300
χ29222-12-12-22-1-2-1-12-2-2-1-22-11111-2-2001-10003−33−33−30002001100000000-1−3300
χ30222-12-12-22-1-2-1-12-2-2-1-22-11111-2-2001-1000−33−33−330002001100000000-13−300
χ314444-24-24-4-2-4-24-222-4-22-24-4220000-22000000000000000000000000000000
χ324444-24-2-44-2-4-24-22242-2-2-4-42200002-2000000000000000000000000000000
χ33444-24-244-4-2-4-2-24-4-424-4-2-22220000-22000000000000000000000000000000
χ34444-24-24-4-4-24-2-24442-4-4-22-2-2-2000022000000000000000000000000000000
χ35444-2-2-2-244141-2-2-2-2-2-2-21-2-2110000114-2-2-2-21111000000000000000000000
χ36444-2-2-2-244141-2-2-2-2-2-2-21-2-211000011-42222-1-1-1-1000000000000000000000
χ37444-2-2-2-24-41-41-2-2222-221-22-1-100001-1000003i−3i−3i3i000000000000000000000
χ38444-2-2-2-24-41-41-2-2222-221-22-1-100001-100000−3i3i3i−3i000000000000000000000
χ39444-2-2-2-2-441-41-2-222-22-2122-1-10000-1100023−23−33−33000000000000000000000
χ40444-2-2-2-2-441-41-2-222-22-2122-1-10000-11000−23233−33−3000000000000000000000
χ41444-2-2-2-2-4-4141-2-2-2-222212-2110000-1-10−2i32i300i3i3−i3−i3000000000000000000000
χ42444-2-2-2-2-4-4141-2-2-2-222212-2110000-1-102i3−2i300−i3−i3i3i3000000000000000000000
χ4344-4444400404-4-400000-4000000000000000000002-202200-2-200000000000
χ4444-4444400404-4-400000-400000000000000000000-220-2-2002200000000000
χ4544-44-24-200-20-2-42−2i32i3000200−2i32i300000000000000002-20−1−i3−1+i3001+i31−i300000000000
χ4644-44-24-200-20-2-42−2i32i3000200−2i32i30000000000000000-2201+i31−i300−1−i3−1+i300000000000
χ4744-44-24-200-20-2-422i3−2i30002002i3−2i300000000000000002-20−1+i3−1−i3001−i31+i300000000000
χ4844-44-24-200-20-2-422i3−2i30002002i3−2i30000000000000000-2201−i31+i300−1+i3−1−i300000000000
χ494-4044-4-40040-40000000000002i−2i2-2000000000000000002i−2i002-22i−2i0000000
χ504-4044-4-40040-40000000000002i−2i-22000000000000000002i−2i00-22−2i2i0000000
χ514-4044-4-40040-4000000000000−2i2i2-200000000000000000−2i2i002-2−2i2i0000000
χ524-4044-4-40040-4000000000000−2i2i-2200000000000000000−2i2i00-222i−2i0000000
χ5388-8-48-4800-40-44-80000040000000000000000000000000000000000000000
χ5488-8-4-4-4-40020244−4i34i3000-2002i3−2i3000000000000000000000000000000000000
χ5588-8-4-4-4-400202444i3−4i3000-200−2i32i3000000000000000000000000000000000000
χ568-808-4-8400-404000000000000004-4000000000000000000000-22000000000
χ578-808-4-8400-40400000000000000-440000000000000000000002-2000000000
χ588-80-484-800-4040000000000004i−4i0000000000000000000−2i2i0000000000000
χ598-80-484-800-404000000000000−4i4i00000000000000000002i−2i0000000000000
χ6016-160-8-8880040-4000000000000000000000000000000000000000000000000

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