Finite Group Databasebeta

← Group #11798616

Character table — Group #11798616

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112222244444444444448888888888888888161616161616242424242424363636364848484848484848487272
order122336622344466666121226666121212121212121212121266666624661212444444812121212242444
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1
χ51111111111-1-111111111-11111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-11-1-111-1-1-1-11-1
χ61111111111-1-111111111-11111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-11-1-1-111-1-1-11
χ71111111111-1-111111111-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-111111-1
χ81111111111-1-111111111-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1111-1-111-11
χ922222222-2200-222222-2-202-22-2-2-2-200000000002-20000000000220000000000-2
χ1022222222-2200-222222-2-202-22-2-2-2-200000000002-20000000000-2-200000000002
χ112222222-22200-222222-2-20-22-22-2-2-20000000000-22000000002200000000000-20
χ122222222-22200-222222-2-20-22-22-2-2-20000000000-2200000000-2-20000000000020
χ132222222-2-222222222222-2-2-2-2-222222222222-2-2-2-2-2-2000000000000000000000
χ142222222-2-22-2-2222222222-2-2-2-2222-2-2-2-2-2-2-2-222-2-222000000000000000000000
χ152222-12-122-12222-1-1-1-1-1-12-1-1222-1-122-1-1-1-1-1-12-1-1-1-1-122-1-1-1-100000020000-1-100
χ162222-12-122-12222-1-1-1-1-1-12-1-1222-1-122-1-1-1-1-1-12-1-1-1-1-1-2-21111000000-200001100
χ172222-12-122-1-2-222-1-1-1-1-1-1-2-1-1222-1-1-2-2111111-21-1-11122-1-1-1-1000000-200001100
χ182222-12-122-1-2-222-1-1-1-1-1-1-2-1-1222-1-1-2-2111111-21-1-111-2-2111100000020000-1-100
χ192222-12-1-2-2-12222-1-1-1-1-1-1-211-2-22-1-122-1-1-1-1-1-1-21111100−i3i3−i3i300000000000−i3i300
χ202222-12-1-2-2-12222-1-1-1-1-1-1-211-2-22-1-122-1-1-1-1-1-1-21111100i3−i3i3−i300000000000i3−i300
χ212222-12-1-2-2-1-2-222-1-1-1-1-1-1211-2-22-1-1-2-21111112-111-1-100−i3i3−i3i300000000000i3−i300
χ222222-12-1-2-2-1-2-222-1-1-1-1-1-1211-2-22-1-1-2-21111112-111-1-100i3−i3i3−i300000000000−i3i300
χ23222-12-1222-1222-12-1-1-122222-1-1-1-1-1-1-122-1-1-1-1-12-1-1-1-10000000000220-1-1-1-10000
χ24222-12-1222-1222-12-1-1-122222-1-1-1-1-1-1-122-1-1-1-1-12-1-1-1-10000000000-2-2011110000
χ25222-12-1222-1-2-22-12-1-1-122-222-1-1-1-1-111-2-211111-2-1-11100000000002-20-1-1110000
χ26222-12-1222-1-2-22-12-1-1-122-222-1-1-1-1-111-2-211111-2-1-1110000000000-22011-1-10000
χ27222-12-12-2-2-1222-12-1-1-122-2-2-211-1-1-1-1-122-1-1-1-11-2111100000000000003−33−30000
χ28222-12-12-2-2-1222-12-1-1-122-2-2-211-1-1-1-1-122-1-1-1-11-211110000000000000−33−330000
χ29222-12-12-2-2-1-2-22-12-1-1-1222-2-211-1-1-111-2-21111-1211-1-100000000000003−3−330000
χ30222-12-12-2-2-1-2-22-12-1-1-1222-2-211-1-1-111-2-21111-1211-1-10000000000000−333−30000
χ314444-24-24-4-200-44-2-2-2-2220-224-4-4220000000000-2200000000000000000000000
χ324444-24-2-44-200-44-2-2-2-22202-2-44-42200000000002-200000000000000000000000
χ33444-24-244-4-200-4-24-2-2-2-4-404-4-222220000000000-2200000000000000000000000
χ34444-24-24-44-200-4-24-2-2-2-4-40-442-222200000000002-200000000000000000000000
χ35444-2-2-2-2441444-2-2111-2-24-2-2-2-2-211-2-2-2-21111-2-21111000000000000000000000
χ36444-2-2-2-2441-4-44-2-2111-2-2-4-2-2-2-2-2112222-1-1-1-12211-1-1000000000000000000000
χ37444-2-2-2-24-4100-4-2-2111220-22-222-1-1000033-3-3001-13-3000000000000000000000
χ38444-2-2-2-24-4100-4-2-2111220-22-222-1-10000-3-333001-1-33000000000000000000000
χ39444-2-2-2-2-44100-4-2-21112202-22-22-1-1000033-3-300-11-33000000000000000000000
χ40444-2-2-2-2-44100-4-2-21112202-22-22-1-10000-3-33300-113-3000000000000000000000
χ41444-2-2-2-2-4-41444-2-2111-2-2-42222-211-2-2-2-2111122-1-1-1-1000000000000000000000
χ42444-2-2-2-2-4-41-4-44-2-2111-2-242222-2112222-1-1-1-1-2-2-1-111000000000000000000000
χ4344-44444004000-4-44-4-40000000000000000000000002-222-2-2000000000000000
χ4444-44444004000-4-44-4-4000000000000000000000000-22-2-222000000000000000
χ4544-44-24-200-2000-42-222−2i32i3000000−2i32i3000000000000002-2−1−i3−1+i31+i31−i3000000000000000
χ4644-44-24-200-2000-42-222−2i32i3000000−2i32i300000000000000-221+i31−i3−1−i3−1+i3000000000000000
χ4744-44-24-200-2000-42-2222i3−2i30000002i3−2i3000000000000002-2−1+i3−1−i31−i31+i3000000000000000
χ4844-44-24-200-2000-42-2222i3−2i30000002i3−2i300000000000000-221−i31+i3−1+i3−1−i3000000000000000
χ494-4044-4-40042-2000-40000000000002-22-22-22-20000000000002i−2i2i−2i00000000000
χ504-4044-4-40042-2000-40000000000002-22-22-22-2000000000000−2i2i−2i2i00000000000
χ514-4044-4-4004-22000-4000000000000-22-22-22-220000000000002i−2i−2i2i00000000000
χ524-4044-4-4004-22000-4000000000000-22-22-22-22000000000000−2i2i2i−2i00000000000
χ5388-8-48-4800-40004-8-444000000000000000000000000000000000000000000000
χ5488-8-4-4-4-4002000442-2-2−4i34i30000002i3−2i300000000000000000000000000000000000
χ5588-8-4-4-4-4002000442-2-24i3−4i3000000−2i32i300000000000000000000000000000000000
χ568-808-4-8400-44-400040000000000004-4-22-22-22000000000000000000000000000
χ578-808-4-8400-4-440004000000000000-442-22-22-2000000000000000000000000000
χ588-80-484-800-44-40004000000000000-224-4-22-22000000000000000000000000000
χ598-80-484-800-4-4400040000000000002-2-442-22-2000000000000000000000000000
χ608-80-4-4440024-4000-26-60000000000-22-224-4-22000000000000000000000000000
χ618-80-4-4440024-4000-2-660000000000-22-22-224-4000000000000000000000000000
χ628-80-4-444002-44000-26-600000000002-22-2-442-2000000000000000000000000000
χ638-80-4-444002-44000-2-6600000000002-22-22-2-44000000000000000000000000000

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