Finite Group Databasebeta

← Group #11798729

Character table — Group #11798729

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222222444444444488888888888888888881616161616242424242424242424242424242424242424484848144144
order122336666223466661212446666121212121212121212121212126612121224444466121212121212121212128242444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1111-1-1
χ31111111111111111111111111111111111111111111-1-11111-1-11111-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111-1-11111-1-11-1-1-1-1-1-1-1-11111-1-1-1111-11-11111-1-11111-1-1-1-1-11-1
χ61111111111111111111-1-11111-1-11-1-1-1-1-1-1-1-11111-1-1-111-11-1111-1-11111-1-111-1-1-1-11
χ71111111111111111111-1-11111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-111-1-1-1-111-1-1111-11
χ81111111111111111111-1-11111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-1-1-1-111-1-1-1-1111111-1
χ92222222222-22-22222-2-2002-22-200-200000000-2-22-200000020-20000-2-200002200000
χ102222222222-22-22222-2-2002-22-200-200000000-2-22-2000000-2020000220000-2-200000
χ11222222222-222-22222-2-200-22-2200-200000000-2-2-220000020-2000-2-20000220000000
χ12222222222-222-22222-2-200-22-2200-200000000-2-2-2200000-202000220000-2-20000000
χ13222222222-2-2222222222-2-2-2-2-2-2-2222-2-2-2-2-2-222-2-222200000000000000000000000
χ14222222222-2-222222222-22-2-2-2-2222-2-222222222-2-2-2-2-200000000000000000000000
χ152222-122-1222-12-1-1-1-1-1-12222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-10000-1-100002-1-100
χ162222-122-1222-12-1-1-1-1-1-12222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000110000110000-21100
χ172222-122-1222-12-1-1-1-1-1-1-2-222-1-1-2-22-2-2111111-1-1-1-1111220000-1-10000-1-10000-21100
χ182222-122-1222-12-1-1-1-1-1-1-2-222-1-1-2-22-2-2111111-1-1-1-1111-2-200001100001100002-1-100
χ192222-122-12-2-2-12-1-1-1-1-1-12-2-2-211-2-2222111111-1-111-1-1-1000000−i3i30000−i3i300000−i3i300
χ202222-122-12-2-2-12-1-1-1-1-1-12-2-2-211-2-2222111111-1-111-1-1-1000000i3−i30000i3−i300000i3−i300
χ212222-122-12-2-2-12-1-1-1-1-1-1-22-2-211222-2-2-1-1-1-1-1-1-1-111111000000−i3i30000−i3i300000i3−i300
χ222222-122-12-2-2-12-1-1-1-1-1-1-22-2-211222-2-2-1-1-1-1-1-1-1-111111000000i3−i30000i3−i300000−i3i300
χ23222-12-1-12-122-122-1-1-12222-1-122-1-1-1-1-122-1-1-1-1-1-1-1-12-1-100222200-1-1-1-100-1-1-1-100000
χ24222-12-1-12-122-122-1-1-12222-1-122-1-1-1-1-122-1-1-1-1-1-1-1-12-1-100-2-2-2-200111100111100000
χ25222-12-1-12-122-122-1-1-122-2-2-1-12211-111-2-21111-1-1-1-1-211002-22-200-1-11100-1-11100000
χ26222-12-1-12-122-122-1-1-122-2-2-1-12211-111-2-21111-1-1-1-1-21100-22-220011-1-10011-1-100000
χ27222-12-1-12-12-2-1-22-1-1-1-2-200-112-2−i3i31−i3i300−i3−i3i3i311-110−i3i300020-200−i3i31100−i3i3-1-100000
χ28222-12-1-12-12-2-1-22-1-1-1-2-200-112-2−i3i31−i3i300−i3−i3i3i311-110−i3i3000-20200i3−i3-1-100i3−i31100000
χ29222-12-1-12-12-2-1-22-1-1-1-2-200-112-2i3−i31i3−i300i3i3−i3−i311-110i3−i300020-200i3−i31100i3−i3-1-100000
χ30222-12-1-12-12-2-1-22-1-1-1-2-200-112-2i3−i31i3−i300i3i3−i3−i311-110i3−i3000-20200−i3i3-1-100−i3i31100000
χ31222-12-1-12-1-22-1-22-1-1-1-2-2001-1-22−i3i31i3−i300−i3−i3i3i3111-10i3−i30020-200011−i3i300-1-1−i3i300000
χ32222-12-1-12-1-22-1-22-1-1-1-2-2001-1-22−i3i31i3−i300−i3−i3i3i3111-10i3−i300-202000-1-1i3−i30011i3−i300000
χ33222-12-1-12-1-22-1-22-1-1-1-2-2001-1-22i3−i31−i3i300i3i3−i3−i3111-10−i3i30020-200011i3−i300-1-1i3−i300000
χ34222-12-1-12-1-22-1-22-1-1-1-2-2001-1-22i3−i31−i3i300i3i3−i3−i3111-10−i3i300-202000-1-1−i3i30011−i3i300000
χ35222-12-1-12-1-2-2-122-1-1-1222-211-2-211-1-1-1-2-21111-1-1112-1-100000000−i3i3i3−i300i3−i3−i3i300000
χ36222-12-1-12-1-2-2-122-1-1-1222-211-2-211-1-1-1-2-21111-1-1112-1-100000000i3−i3−i3i300−i3i3i3−i300000
χ37222-12-1-12-1-2-2-122-1-1-122-2211-2-2-1-1-11122-1-1-1-1-1-111-21100000000−i3i3−i3i300i3−i3i3−i300000
χ38222-12-1-12-1-2-2-122-1-1-122-2211-2-2-1-1-11122-1-1-1-1-1-111-21100000000i3−i3i3−i300−i3i3−i3i300000
χ394444-244-244-4-2-4-2-2-2-222004-4-2200-40000000022-2200000000000000000000000000
χ404444-244-24-44-2-4-2-2-2-22200-442-200-400000000222-200000000000000000000000000
χ41444-2-2-2-2-2-24414-2111-2-244-2-2-2-2-2-2-2-2-2-2-211111111-21100000000000000000000000
χ42444-2-2-2-2-2-24414-2111-2-2-4-4-2-2-2-222-22222-1-1-1-111112-1-100000000000000000000000
χ43444-2-2-2-2-2-24-41-4-21112200-22-22−2i32i32−2i32i300i3i3−i3−i3-1-11-10i3−i300000000000000000000000
χ44444-2-2-2-2-2-24-41-4-21112200-22-222i3−2i322i3−2i300−i3−i3i3i3-1-11-10−i3i300000000000000000000000
χ45444-2-2-2-2-2-2-441-4-211122002-22-2−2i32i322i3−2i300i3i3−i3−i3-1-1-110−i3i300000000000000000000000
χ46444-2-2-2-2-2-2-441-4-211122002-22-22i3−2i32−2i32i300−i3−i3i3i3-1-1-110i3−i300000000000000000000000
χ47444-2-2-2-2-2-2-4-414-2111-2-24-4222222-2-2-222-1-1-1-111-1-1-21100000000000000000000000
χ48444-2-2-2-2-2-2-4-414-2111-2-2-442222-2-2-222-2-2111111-1-12-1-100000000000000000000000
χ4944-444-4-4440040-4-4-44000000000000000000000000002-20000220000-2-2000000000
χ5044-444-4-4440040-4-4-4400000000000000000000000000-220000-2-2000022000000000
χ5144-44-2-4-4-2400-20222-2−2i32i300000000000000000−2i32i3000002-20000−1−i3−1+i300001+i31−i3000000000
χ5244-44-2-4-4-2400-20222-2−2i32i300000000000000000−2i32i300000-2200001+i31−i30000−1−i3−1+i3000000000
χ5344-44-2-4-4-2400-20222-22i3−2i3000000000000000002i3−2i3000002-20000−1+i3−1−i300001−i31+i3000000000
χ5444-44-2-4-4-2400-20222-22i3−2i3000000000000000002i3−2i300000-2200001−i31+i30000−1+i3−1−i3000000000
χ5588-8-48448-400-40-844-40000000000000000000000000000000000000000000000000
χ5688-8-4-444-4-400204-2-22−4i34i3000000000000000002i3−2i30000000000000000000000000000
χ5788-8-4-444-4-400204-2-224i3−4i300000000000000000−2i32i30000000000000000000000000000
χ588-808800-8-80080000-80000000000000000000000000000000000000000000000000
χ598-808-4004-800-400004000000000000023−2323−2323−23000000000000000000000000000000
χ608-808-4004-800-4000040000000000000−2323−2323−2323000000000000000000000000000000
χ618-80-48−4i34i3-8400-400−4i34i340000000000000000000000000000000000000000000000000
χ628-80-484i3−4i3-8400-4004i3−4i340000000000000000000000000000000000000000000000000
χ638-80-4-4−4i34i344002002i3−2i3-2000000000000023−234ζ7+2ζ11−4ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ11000000000000000000000000000000
χ648-80-4-4−4i34i344002002i3−2i3-20000000000000−2323−4ζ7−2ζ114ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ11000000000000000000000000000000
χ658-80-4-44i3−4i34400200−2i32i3-2000000000000023−23−2ζ7−4ζ112ζ7+4ζ114ζ7+2ζ11−4ζ7−2ζ11000000000000000000000000000000
χ668-80-4-44i3−4i34400200−2i32i3-20000000000000−23232ζ7+4ζ11−2ζ7−4ζ11−4ζ7−2ζ114ζ7+2ζ11000000000000000000000000000000

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