Finite Group Databasebeta

← Group #11798614

Character table — Group #11798614

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122222444444444888888881212121216161616161616161616162424242424242424242424243636484848484872144
order122336622346666666666612124444461212121212121212122444661212121212124481212242424
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-111-1-11-1
χ311111111111111111111111111-1-111111111111111-111-1-11111-1-1-11-1-1-1-1-1
χ411111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-111-111-11
χ5111111111111111111111111-1-11111111111111-1-1-11-1-111-1-1-1-1-1-11-1111-1-1
χ6111111111111111111111111-1-111-111-1-1-1-1-1-1-1-111-111111-1-111-1-1-1-11-1-1-11
χ7111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-1-1111-1
χ922222222-22-222222-2-22222-2-222000-2-20000000000-2000002200000-200000
χ1022222222-22-222222-2-22222-2-2-2-2000-2-20000000000200000-2-200000200000
χ112222222-222-2-2-2222222-2-2-2-2-2002202-200000000000-2002200000000-20000
χ122222222-222-2-2-2222222-2-2-2-2-200-2-202-200000000000200-2-20000000020000
χ132222222-2-222-2-2222-2-22-2-2-22200000-22000000000000000000002200000-20
χ142222222-2-222-2-2222-2-22-2-2-22200000-2200000000000000000000-2-20000020
χ152222-12-122-12-1-1-12-12-1-12-1-1-1222002-1-1-1-122-1-1-1-12220-1-100-1-1-1-1000-100000
χ162222-12-122-12-1-1-12-12-1-12-1-1-122200-2-1-111-2-21111-2-2201100-1-111000-100000
χ172222-12-122-12-1-1-12-12-1-12-1-1-12-2-2002-1-1-1-122-1-1-1-1-2-2-2011001111000100000
χ182222-12-122-12-1-1-12-12-1-12-1-1-12-2-200-2-1-111-2-2111122-20-1-10011-1-1000100000
χ192222-12-12-2-1-2-1-1-12-1-21-12-1-11-22200011−i3i300−i3−i3i3i300-20−i3i300-1-1−i3i3000100000
χ202222-12-12-2-1-2-1-1-12-1-21-12-1-11-22200011i3−i300i3i3−i3−i300-20i3−i300-1-1i3−i3000100000
χ212222-12-12-2-1-2-1-1-12-1-21-12-1-11-2-2-200011−i3i300−i3−i3i3i30020i3−i30011i3−i3000-100000
χ222222-12-12-2-1-2-1-1-12-1-21-12-1-11-2-2-200011i3−i300i3i3−i3−i30020−i3i30011−i3i3000-100000
χ23222-12-1222-1222-1-12-12-1-1-1-12-100222-1-122-1-1-1-1-1-1000200-1-100000020-1-1-100
χ24222-12-1222-1222-1-12-12-1-1-1-12-10022-2-1-1-2-2111111000200-1-1000000-20-11100
χ25222-12-1222-1222-1-12-12-1-1-1-12-100-2-22-1-122-1-1-1-1-1-1000-20011000000-2011100
χ26222-12-1222-1222-1-12-12-1-1-1-12-100-2-2-2-1-1-2-2111111000-20011000000201-1-100
χ27222-12-12-22-1-2-2-2-1-12-12-1111-2100220-11003−33−33−3000-200-1-10000000013−300
χ28222-12-12-22-1-2-2-2-1-12-12-1111-2100220-1100−33−33−33000-200-1-1000000001−3300
χ29222-12-12-22-1-2-2-2-1-12-12-1111-2100-2-20-11003−33−33−30002001100000000-1−3300
χ30222-12-12-22-1-2-2-2-1-12-12-1111-2100-2-20-1100−33−33−330002001100000000-13−300
χ314444-24-2-44-2-422-24-24-2-2-4222-400000-2200000000000000000000000000000
χ324444-24-2-4-4-2422-24-2-42-2-422-24000002-200000000000000000000000000000
χ33444-24-244-4-2-444-2-242-4-2-2-2-2-42000002200000000000000000000000000000
χ34444-24-24-4-4-24-4-4-2-242-4-22224-2000002-200000000000000000000000000000
χ35444-2-2-2-24414-2-21-2-2-2-21-211-2-20000411-2-2-2-21111000000000000000000000
χ36444-2-2-2-24414-2-21-2-2-2-21-211-2-20000-4112222-1-1-1-1000000000000000000000
χ37444-2-2-2-24-41-4-2-21-2-2221-2112200000-1-1−2i32i300i3i3−i3−i3000000000000000000000
χ38444-2-2-2-24-41-4-2-21-2-2221-2112200000-1-12i3−2i300−i3−i3i3i3000000000000000000000
χ39444-2-2-2-2-441-4221-2-2-2-212-1-122000001-10023−23−33−33000000000000000000000
χ40444-2-2-2-2-441-4221-2-2-2-212-1-122000001-100−23233−33−3000000000000000000000
χ41444-2-2-2-2-4-414221-2-22212-1-1-2-200000-1100003i−3i−3i3i000000000000000000000
χ42444-2-2-2-2-4-414221-2-22212-1-1-2-200000-110000−3i3i3i−3i000000000000000000000
χ4344-444440040004-4-400-4000000000000000000002-200220000-2-2000000000
χ4444-444440040004-4-400-400000000000000000000-2200-2-2000022000000000
χ4544-44-24-200-20−2i32i3-2-420020−2i32i3000000000000000002-200−1+i3−1−i300001−i31+i3000000000
χ4644-44-24-200-20−2i32i3-2-420020−2i32i300000000000000000-22001−i31+i30000−1+i3−1−i3000000000
χ4744-44-24-200-202i3−2i3-2-4200202i3−2i3000000000000000002-200−1−i3−1+i300001+i31−i3000000000
χ4844-44-24-200-202i3−2i3-2-4200202i3−2i300000000000000000-22001+i31−i30000−1−i3−1+i3000000000
χ494-4044-4-4004000-400000000002i−2i2i−2i000000000000000002i−2i2i−2i002-20000000
χ504-4044-4-4004000-400000000002i−2i−2i2i00000000000000000−2i2i2i−2i00-220000000
χ514-4044-4-4004000-40000000000−2i2i2i−2i000000000000000002i−2i−2i2i00-220000000
χ524-4044-4-4004000-40000000000−2i2i−2i2i00000000000000000−2i2i−2i2i002-20000000
χ5388-8-48-4800-4000-44-800400000000000000000000000000000000000000000
χ5488-8-4-4-4-40020−4i34i324400-202i3−2i300000000000000000000000000000000000000
χ5588-8-4-4-4-400204i3−4i324400-20−2i32i300000000000000000000000000000000000000
χ568-808-4-8400-4000400000000004i−4i000000000000000000000−2i2i00000000000
χ578-808-4-8400-400040000000000−4i4i0000000000000000000002i−2i00000000000
χ588-80-484-800-400040000000000004i−4i00000000000000000−2i2i0000000000000
χ598-80-484-800-40004000000000000−4i4i000000000000000002i−2i0000000000000
χ6016-160-8-888004000-40000000000000000000000000000000000000000000000

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