Finite Group Databasebeta

← Group #11798721

Character table — Group #11798721

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112222222444444448888888888888888888816161616162424242424242424242424244848484848487272144
order1223366662234666644666666121212121212121212121212612121212444412121212121212124812122424244
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
χ511111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-111-1-1-111-11-111-1-111-1-11-111-1-111-1
χ611111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-111-1-1-111-11-111-1-111-1-1-11-1-111-1-11
χ711111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-111-1-1-11-11-11-1-111-1-1111-111-1-1-1-11
χ811111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-111-1-1-11-11-11-1-111-1-111-11-1-11111-1
χ92222222222-22-22222002-2-2-2-220000-2000000-22000-220-20-2-2002200000000000
χ102222222222-22-22222002-2-2-2-220000-2000000-22000-2-20202200-2-200000000000
χ11222222222-222-222222-2-22222-222-2-2-2222222-2-2-2-2-2-2000000000000000000000
χ12222222222-222-22222-22-22222-2-2-222-2-2-2-2-2-2-2-2-2222-2000000000000000000000
χ13222222222-2-222222200-2-2-2-2-2-2000020000002-20002020-200-2-20022000000000
χ14222222222-2-222222200-2-2-2-2-2-2000020000002-200020-202002200-2-2000000000
χ152222-12-1-1-122-122-1-1-122-12-1-1-1222-1-1-1-1-1-1-1-1-12-12-1-1-12222-1-1-1-1-1-1-1-1000000000
χ162222-12-1-1-122-122-1-1-122-12-1-1-1222-1-1-1-1-1-1-1-1-12-12-1-1-1-2-2-2-211111111000000000
χ172222-12-1-1-122-122-1-1-1-2-2-12-1-1-12-2-211-11111112-1-211-12-22-2-1-111-1-111000000000
χ182222-12-1-1-122-122-1-1-1-2-2-12-1-1-12-2-211-11111112-1-211-1-22-2211-1-111-1-1000000000
χ192222-12-1-1-12-2-1-22-1-1-100-1-2111200−i3i31−i3i3−i3−i3i3i3-2-10−i3i3120-2011−i3i3-1-1−i3i3000000000
χ202222-12-1-1-12-2-1-22-1-1-100-1-2111200−i3i31−i3i3−i3−i3i3i3-2-10−i3i31-2020-1-1i3−i311i3−i3000000000
χ212222-12-1-1-12-2-1-22-1-1-100-1-2111200i3−i31i3−i3i3i3−i3−i3-2-10i3−i3120-2011i3−i3-1-1i3−i3000000000
χ222222-12-1-1-12-2-1-22-1-1-100-1-2111200i3−i31i3−i3i3i3−i3−i3-2-10i3−i31-2020-1-1−i3i311−i3i3000000000
χ232222-12-1-1-1-22-1-22-1-1-12-212-1-1-1-222111-1-1-1-1-1-1-21-21110000−i3i3−i3i3−i3i3i3−i3000000000
χ242222-12-1-1-1-22-1-22-1-1-12-212-1-1-1-222111-1-1-1-1-1-1-21-21110000i3−i3i3−i3i3−i3−i3i3000000000
χ252222-12-1-1-1-22-1-22-1-1-1-2212-1-1-1-2-2-2-1-11111111-212-1-110000−i3i3i3−i3−i3i3−i3i3000000000
χ262222-12-1-1-1-22-1-22-1-1-1-2212-1-1-1-2-2-2-1-11111111-212-1-110000i3−i3−i3i3i3−i3i3−i3000000000
χ272222-12-1-1-1-2-2-122-1-1-1001-2111-200−i3i3-1i3−i3i3i3−i3−i3210−i3i3-1020-2i3−i311−i3i3-1-1000000000
χ282222-12-1-1-1-2-2-122-1-1-1001-2111-200−i3i3-1i3−i3i3i3−i3−i3210−i3i3-10-202−i3i3-1-1i3−i311000000000
χ292222-12-1-1-1-2-2-122-1-1-1001-2111-200i3−i3-1−i3i3−i3−i3i3i3210i3−i3-1020-2−i3i311i3−i3-1-1000000000
χ302222-12-1-1-1-2-2-122-1-1-1001-2111-200i3−i3-1−i3i3−i3−i3i3i3210i3−i3-10-202i3−i3-1-1−i3i311000000000
χ31222-12-122222-12-1-1-1-1222-12-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000
χ32222-12-122222-12-1-1-1-1222-12-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1000000000000-2-21111000
χ33222-12-122222-12-1-1-1-1-2-22-12-1-1-111-2-22-2-21111-1-1111-10000000000002-2-1-111000
χ34222-12-122222-12-1-1-1-1-2-22-12-1-1-111-2-22-2-21111-1-1111-1000000000000-2211-1-1000
χ35222-12-1222-22-1-2-1-1-1-12-2-2-12-1-11-1-1-2-2-222-1-1-1-1111111000000000000003−33−3000
χ36222-12-1222-22-1-2-1-1-1-12-2-2-12-1-11-1-1-2-2-222-1-1-1-111111100000000000000−33−33000
χ37222-12-1222-22-1-2-1-1-1-1-22-2-12-1-111122-2-2-2111111-1-1-11000000000000003−3−33000
χ38222-12-1222-22-1-2-1-1-1-1-22-2-12-1-111122-2-2-2111111-1-1-1100000000000000−333−3000
χ39444-24-24444-4-2-4-2-2-2-20042-422-20000-40000002-20002000000000000000000000
χ40444-24-2444-4-4-24-2-2-2-200-42-422200004000000-22000-2000000000000000000000
χ41444-2-2-2-2-2-24414-211144-2-2-211-2-2-2-2-2-2-2-21111-21-2111000000000000000000000
χ42444-2-2-2-2-2-24414-2111-4-4-2-2-211-22222-222-1-1-1-1-212-1-11000000000000000000000
χ43444-2-2-2-2-2-24-41-4-211100-222-1-1-200−2i32i32−2i32i3i3i3−i3−i3210i3−i3-1000000000000000000000
χ44444-2-2-2-2-2-24-41-4-211100-222-1-1-2002i3−2i322i3−2i3−i3−i3i3i3210−i3i3-1000000000000000000000
χ45444-2-2-2-2-2-2-441-4-21114-42-2-2112-2-2222-2-211112-12-1-1-1000000000000000000000
χ46444-2-2-2-2-2-2-441-4-2111-442-2-211222-2-2222-1-1-1-12-1-211-1000000000000000000000
χ47444-2-2-2-2-2-2-4-414-211100222-1-1200−2i32i3-22i3−2i3−i3−i3i3i3-2-10i3−i31000000000000000000000
χ48444-2-2-2-2-2-2-4-414-211100222-1-12002i3−2i3-2−2i32i3i3i3−i3−i3-2-10−i3i31000000000000000000000
χ4944-4444-4-440040-4-4-4400000000000000000000000000000000000000000002-20
χ5044-4444-4-440040-4-4-440000000000000000000000000000000000000000000-220
χ5188-88-4844-400-40-844-40000000000000000000000000000000000000000000000
χ5288-8-48-4-8-8800-40444-40000000000000000000000000000000000000000000000
χ5388-8-4-4-444-400204-2-22000006-6000000000000000000000000000000000000000
χ5488-8-4-4-444-400204-2-2200000-66000000000000000000000000000000000000000
χ558-8088-800-80080000-80000000000000000000000000000000000000000000000
χ568-808-4-8−4i34i3400-400−4i34i340000000000000000000000000000000000000000000000
χ578-808-4-84i3−4i3400-4004i3−4i340000000000000000000000000000000000000000000000
χ588-80-48400-800-4000040000000023−230000023−2323−23000000000000000000000000000
χ598-80-48400-800-40000400000000−232300000−2323−2323000000000000000000000000000
χ608-80-4-44−4i34i34002002i3−2i3-20000000023−23000004ζ7+2ζ11−4ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ11000000000000000000000000000
χ618-80-4-44−4i34i34002002i3−2i3-200000000−232300000−4ζ7−2ζ114ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ11000000000000000000000000000
χ628-80-4-444i3−4i3400200−2i32i3-20000000023−2300000−2ζ7−4ζ112ζ7+4ζ114ζ7+2ζ11−4ζ7−2ζ11000000000000000000000000000
χ638-80-4-444i3−4i3400200−2i32i3-200000000−2323000002ζ7+4ζ11−2ζ7−4ζ11−4ζ7−2ζ114ζ7+2ζ11000000000000000000000000000

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