Finite Group Databasebeta

← Group #11798647

Character table — Group #11798647

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112222222444444448888888888888888888816161616162424242424242424242424244848484848487272144
order1223366662234666644666612121212121212121212121212126612121222446666121212124412121212248
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-11-111-1-111-1-11-111-1-111-1
χ611111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-11-111-1-111-1-1-11-1-111-1-11
χ711111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-111-1-1111-111-1-1-1-11
χ811111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-111-1-111-11-1-11111-1
χ92222222222-22-22222002-22-2-2-20000000000-2-22-2000020-2002200-2-2000000000
χ102222222222-22-22222002-22-2-2-20000000000-2-22-20000-20200-2-20022000000000
χ11222222222-222-2222200-22-22-2-20000000000-2-2-2200020-202200-2-200000000000
χ12222222222-222-2222200-22-22-2-20000000000-2-2-22000-2020-2-2002200000000000
χ13222222222-2-22222222-2-2-2-2-22222-2-2-2-2-2-2-2-222-2-2222000000000000000000000
χ14222222222-2-2222222-22-2-2-2-222-2-22222222222-2-2-2-2-2000000000000000000000
χ152222-12-1-1-122-122-1-1-122-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1000000000
χ162222-12-1-1-122-122-1-1-122-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-2-2-2-211111111000000000
χ172222-12-1-1-122-122-1-1-1-2-2-1-1222-11111-2-21111-1-1-1-1-2112-22-2-1-111-1-111000000000
χ182222-12-1-1-122-122-1-1-1-2-2-1-1222-11111-2-21111-1-1-1-1-211-22-2211-1-111-1-1000000000
χ192222-12-1-1-12-2-1-22-1-1-100-112-2-21−i3i3−i3i300−i3−i3i3i311-110−i3i3020-2−i3i3-1-1−i3i311000000000
χ202222-12-1-1-12-2-1-22-1-1-100-112-2-21−i3i3−i3i300−i3−i3i3i311-110−i3i30-202i3−i311i3−i3-1-1000000000
χ212222-12-1-1-12-2-1-22-1-1-100-112-2-21i3−i3i3−i300i3i3−i3−i311-110i3−i3020-2i3−i3-1-1i3−i311000000000
χ222222-12-1-1-12-2-1-22-1-1-100-112-2-21i3−i3i3−i300i3i3−i3−i311-110i3−i30-202−i3i311−i3i3-1-1000000000
χ232222-12-1-1-1-22-1-22-1-1-1001-1-22-21−i3i3i3−i300i3i3−i3−i3111-10−i3i320-20-1-1−i3i311−i3i3000000000
χ242222-12-1-1-1-22-1-22-1-1-1001-1-22-21−i3i3i3−i300i3i3−i3−i3111-10−i3i3-202011i3−i3-1-1i3−i3000000000
χ252222-12-1-1-1-22-1-22-1-1-1001-1-22-21i3−i3−i3i300−i3−i3i3i3111-10i3−i320-20-1-1i3−i311i3−i3000000000
χ262222-12-1-1-1-22-1-22-1-1-1001-1-22-21i3−i3−i3i300−i3−i3i3i3111-10i3−i3-202011−i3i3-1-1−i3i3000000000
χ272222-12-1-1-1-2-2-122-1-1-12-211-2-22-1-1-111-2-21111-1-1112-1-10000−i3i3−i3i3i3−i3i3−i3000000000
χ282222-12-1-1-1-2-2-122-1-1-12-211-2-22-1-1-111-2-21111-1-1112-1-10000i3−i3i3−i3−i3i3−i3i3000000000
χ292222-12-1-1-1-2-2-122-1-1-1-2211-2-22-111-1-122-1-1-1-1-1-111-2110000−i3i3i3−i3i3−i3−i3i3000000000
χ302222-12-1-1-1-2-2-122-1-1-1-2211-2-22-111-1-122-1-1-1-1-1-111-2110000i3−i3−i3i3−i3i3i3−i3000000000
χ31222-12-122222-12-1-1-1-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000
χ32222-12-122222-12-1-1-1-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-21111000
χ33222-12-122222-12-1-1-1-1-2-222-1-1-12-2-2-2-2111111-1-1-1-11110000000000002-2-1-111000
χ34222-12-122222-12-1-1-1-1-2-222-1-1-12-2-2-2-2111111-1-1-1-1111000000000000-2211-1-1000
χ35222-12-1222-2-2-12-1-1-1-12-2-2-211-1222-2-2111111-1-111-1-1-1000000000000003−33−3000
χ36222-12-1222-2-2-12-1-1-1-12-2-2-211-1222-2-2111111-1-111-1-1-100000000000000−33−33000
χ37222-12-1222-2-2-12-1-1-1-1-22-2-211-12-2-222-1-1-1-1-1-1-1-111111000000000000003−3−33000
χ38222-12-1222-2-2-12-1-1-1-1-22-2-211-12-2-222-1-1-1-1-1-1-1-11111100000000000000−333−3000
χ39444-24-24444-4-2-4-2-2-2-2004-4-222-4000000000022-22000000000000000000000000
χ40444-24-2444-44-2-4-2-2-2-200-442-22-40000000000222-2000000000000000000000000
χ41444-2-2-2-2-2-24414-211144-2-2-2-2-2-2-2-2-2-2-2-211111111-211000000000000000000000
χ42444-2-2-2-2-2-24414-2111-4-4-2-2-2-2-2-2222222-1-1-1-111112-1-1000000000000000000000
χ43444-2-2-2-2-2-24-41-4-211100-22-2222−2i32i3−2i32i300i3i3−i3−i3-1-11-10i3−i3000000000000000000000
χ44444-2-2-2-2-2-24-41-4-211100-22-22222i3−2i32i3−2i300−i3−i3i3i3-1-11-10−i3i3000000000000000000000
χ45444-2-2-2-2-2-2-441-4-2111002-22-222−2i32i32i3−2i300−i3−i3i3i3-1-1-110i3−i3000000000000000000000
χ46444-2-2-2-2-2-2-441-4-2111002-22-2222i3−2i3−2i32i300i3i3−i3−i3-1-1-110−i3i3000000000000000000000
χ47444-2-2-2-2-2-2-4-414-21114-42222-2-2-2-22222-1-1-1-111-1-1-211000000000000000000000
χ48444-2-2-2-2-2-2-4-414-2111-442222-2-222-2-2-2-2111111-1-12-1-1000000000000000000000
χ4944-44444-4-40040-4-4-4400000000000000000000000000000000000000000002-20
χ5044-44444-4-40040-4-4-440000000000000000000000000000000000000000000-220
χ5188-88-48-44400-40-844-40000000000000000000000000000000000000000000000
χ5288-8-48-48-8-800-40444-40000000000000000000000000000000000000000000000
χ5388-8-4-4-4-44400204-2-220000000000000000006-600000000000000000000000000
χ5488-8-4-4-4-44400204-2-22000000000000000000-6600000000000000000000000000
χ558-8088-8-8000080000-80000000000000000000000000000000000000000000000
χ568-808-4-84−4i34i300-400−4i34i340000000000000000000000000000000000000000000000
χ578-808-4-844i3−4i300-4004i3−4i340000000000000000000000000000000000000000000000
χ588-80-484-80000-40000400000000000023−2323−2323−230000000000000000000000000000
χ598-80-484-80000-400004000000000000−2323−2323−23230000000000000000000000000000
χ608-80-4-444−4i34i3002002i3−2i3-200000000000023−234ζ7+2ζ11−4ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ110000000000000000000000000000
χ618-80-4-444−4i34i3002002i3−2i3-2000000000000−2323−4ζ7−2ζ114ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ110000000000000000000000000000
χ628-80-4-4444i3−4i300200−2i32i3-200000000000023−23−2ζ7−4ζ112ζ7+4ζ114ζ7+2ζ11−4ζ7−2ζ110000000000000000000000000000
χ638-80-4-4444i3−4i300200−2i32i3-2000000000000−23232ζ7+4ζ11−2ζ7−4ζ11−4ζ7−2ζ114ζ7+2ζ110000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.