Finite Group Databasebeta

← Group #11798809

Character table — Group #11798809

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112222244444444444448888888888888888161616161616242424242424363636364848484848484848487272
order1223366344444666661212412121212121212121212121212121212121212121224661212444488824242424242422
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-11-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ511111111-1-11111111111-1111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-11-1-1-111-1-11-1
χ611111111-1-11111111111-1111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-111-1-11-1-1-1-111-11
χ711111111-1-11111111111-1111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-11-1111-1-1111-1
χ811111111-1-11111111111-1111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-11111-1-1-11
χ922222222002-2-222222-2-20-22-200000000-2-22-2002-20000000000220000000000-2
χ1022222222002-2-222222-2-20-22-200000000-2-22-2002-20000000000-2-200000000002
χ112222222200-22-222222-2-20-2-2200000000-2-2-2200-22000000002200000000000-20
χ122222222200-22-222222-2-20-2-2200000000-2-2-2200-2200000000-2-20000000000020
χ132222222222-2-222222222-22-2-22222222222-2-2-2-2-2-2-2-2000000000000000000000
χ1422222222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-222000000000000000000000
χ152222-12-1-1222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-122-1-1-1-10000200-1-1000000
χ162222-12-1-1222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-1-2-211110000-20011000000
χ172222-12-1-122-2-222-1-1-1-1-1-1-221122-1-1-1-1-1-1-1-1-2-2-21111100−i3i3−i3i30000000−i3i3000000
χ182222-12-1-122-2-222-1-1-1-1-1-1-221122-1-1-1-1-1-1-1-1-2-2-21111100i3−i3i3−i30000000i3−i3000000
χ192222-12-1-1-2-22222-1-1-1-1-1-1-22-1-1-2-2111111-1-122-21-1-11122-1-1-1-10000-20011000000
χ202222-12-1-1-2-22222-1-1-1-1-1-1-22-1-1-2-2111111-1-122-21-1-111-2-211110000200-1-1000000
χ212222-12-1-1-2-2-2-222-1-1-1-1-1-12211-2-2111111-1-1-2-22-111-1-100−i3i3−i3i30000000i3−i3000000
χ222222-12-1-1-2-2-2-222-1-1-1-1-1-12211-2-2111111-1-1-2-22-111-1-100i3−i3i3−i30000000−i3i3000000
χ23222-12-12-122222-12-1-1-1222-122-1-122-1-1-1-1-1-1-1-1-12-1-1-1-1000000000002200-1-1-1-100
χ24222-12-12-122222-12-1-1-1222-122-1-122-1-1-1-1-1-1-1-1-12-1-1-1-100000000000-2-200111100
χ25222-12-12-122-2-22-12-1-1-122-2-1-2-2-1-122-1-1-1-1-1-1111-211110000000000000003−33−300
χ26222-12-12-122-2-22-12-1-1-122-2-1-2-2-1-122-1-1-1-1-1-1111-21111000000000000000−33−3300
χ27222-12-12-1-2-2222-12-1-1-122-2-12211-2-21111-1-1-1-11-2-1-111000000000002-200-1-11100
χ28222-12-12-1-2-2222-12-1-1-122-2-12211-2-21111-1-1-1-11-2-1-11100000000000-220011-1-100
χ29222-12-12-1-2-2-2-22-12-1-1-1222-1-2-211-2-21111-1-111-1211-1-10000000000000003−3−3300
χ30222-12-12-1-2-2-2-22-12-1-1-1222-1-2-211-2-21111-1-111-1211-1-1000000000000000−333−300
χ314444-24-2-2004-4-44-2-2-2-2220-4-2200000000224-400-2200000000000000000000000
χ324444-24-2-200-44-44-2-2-2-2220-42-20000000022-44002-200000000000000000000000
χ33444-24-24-2004-4-4-24-2-2-2-4-4024-40000000022-2200-2200000000000000000000000
χ34444-24-24-200-44-4-24-2-2-2-4-402-4400000000222-2002-200000000000000000000000
χ35444-2-2-2-21004-4-4-2-21112202-22000033-3-3-1-1-22001-13-3000000000000000000000
χ36444-2-2-2-21004-4-4-2-21112202-220000-3-333-1-1-22001-1-33000000000000000000000
χ37444-2-2-2-2100-44-4-2-211122022-2000033-3-3-1-12-200-11-33000000000000000000000
χ38444-2-2-2-2100-44-4-2-211122022-20000-3-333-1-12-200-113-3000000000000000000000
χ39444-2-2-2-2144444-2-2111-2-24-2-2-2-2-2-2-2111111-2-2-2-21111000000000000000000000
χ40444-2-2-2-2144-4-44-2-2111-2-2-4-222-2-2-2-21111112222-1-1-1-1000000000000000000000
χ41444-2-2-2-21-4-4444-2-2111-2-2-4-2-2-22222-1-1-1-111-2-22211-1-1000000000000000000000
χ42444-2-2-2-21-4-4-4-44-2-2111-2-24-2222222-1-1-1-11122-2-2-1-111000000000000000000000
χ4344-44444400000-4-4-4-440000000000000000000000002-222-2-2000000000000000
χ4444-44444400000-4-4-4-44000000000000000000000000-22-2-222000000000000000
χ4544-44-24-2-200000-4222-2−2i32i3000000000000−2i32i3000000002-2−1−i3−1+i31+i31−i3000000000000000
χ4644-44-24-2-200000-4222-2−2i32i3000000000000−2i32i300000000-221+i31−i3−1−i3−1+i3000000000000000
χ4744-44-24-2-200000-4222-22i3−2i30000000000002i3−2i3000000002-2−1+i3−1−i31−i31+i3000000000000000
χ4844-44-24-2-200000-4222-22i3−2i30000000000002i3−2i300000000-221−i31+i3−1+i3−1−i3000000000000000
χ494-4044-4-442-20000000-40000002-22-22-22-200000000000000002i−2i2i−2i00000000000
χ504-4044-4-442-20000000-40000002-22-22-22-20000000000000000−2i2i−2i2i00000000000
χ514-4044-4-44-220000000-4000000-22-22-22-2200000000000000002i−2i−2i2i00000000000
χ524-4044-4-44-220000000-4000000-22-22-22-220000000000000000−2i2i2i−2i00000000000
χ5388-8-48-48-4000004-844-4000000000000000000000000000000000000000000000
χ5488-8-4-4-4-420000044-2-22−4i34i30000000000002i3−2i300000000000000000000000000000
χ5588-8-4-4-4-420000044-2-224i3−4i3000000000000−2i32i300000000000000000000000000000
χ568-808-4-84-44-4000000040000004-4-22-22-220000000000000000000000000000000
χ578-808-4-84-4-4400000004000000-442-22-22-20000000000000000000000000000000
χ588-80-484-8-44-400000004000000-224-4-22-220000000000000000000000000000000
χ598-80-484-8-4-44000000040000002-2-442-22-20000000000000000000000000000000
χ608-80-4-44424-4000006-6-2000000-22-224-4-220000000000000000000000000000000
χ618-80-4-44424-400000-66-2000000-22-22-224-40000000000000000000000000000000
χ628-80-4-4442-44000006-6-20000002-22-2-442-20000000000000000000000000000000
χ638-80-4-4442-4400000-66-20000002-22-22-2-440000000000000000000000000000000

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