Finite Group Databasebeta

← Group #11886867

Character table — Group #11886867

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122222224444444444444444668888888888888888888888888812121212121212181824242424242424242424242424243636364848487272
order1223344662234466666121212121212884666666661212121212121212121212121212121212244482424882466688812121224242424812242428
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1111-1-11-11111-1-11-1-1111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111111111111111111111111111-1-111-1-1-1-1-1-11-1-1-1-111-111-1-1-1-1-1-1111-1-1
χ41111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111
χ51111111111-111-11111111111111-11-1-1111-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-111111111-11-1-1-1
χ61111111111-111-11111111111111-11-1-1111-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-1-11-11-1-1-1111-1-1-11-1111
χ71111111111-111-111111111111-1-1-11-1-1111-1-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-1111-11-1111-1-1-1-1-1-1-11-111
χ81111111111-111-111111111111-1-1-11-1-1111-1-1-1-1-11-1-1-11111-1-1-1-1-1-111-1-1-1-1-11111111-1-111-1-1-1-1-11111-11-1-1
χ9111111111-111-111-1-1111-1-111111-1-1111-1-1111-1-1-11-1-111-1-111-1-1-1-1111111111-1-11-1-1-1-111111-1-1-1-11-1-11-11
χ10111111111-111-111-1-1111-1-111111-1-1111-1-1111-1-1-11-1-111-1-111-1-1-1-111-1-1111-1-1-111-1-1-11-11-1-11-1-111-111-11-1
χ11111111111-111-111-1-1111-1-1111-1-1-1-1111-1-1111-1-1-11-1-111-1-111-1-1-1-1-1-111-1-1-1-1-11-1-1111-11-111-11111-1-1-111-1
χ12111111111-111-111-1-1111-1-1111-1-1-1-1111-1-1111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-111-1-1111-1-11
χ13111111111-1-11-1-11-1-1111-1-1111111-1-1-11-1-1-1-1-111-1-11111-1-1-1-11111-1-1111111111-111-1-1-1-1111-1-1-1-111-1-11-1
χ14111111111-1-11-1-11-1-1111-1-1111111-1-1-11-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-11-1-111-111-1-1-11-1-111-1-111-11
χ15111111111-1-11-1-11-1-1111-1-1111-1-11-1-1-11-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11-1-1111-11111-11-1-1-11
χ16111111111-1-11-1-11-1-1111-1-1111-1-11-1-1-11-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-111-1-11-1-11111-1-1-111-1-11-1111-1
χ172222-122-1222-122-1-1-12-1-1-1-122-122222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122002-1-10020-1-1-1200-100-1-1-100000000
χ182222-122-1222-122-1-1-12-1-1-1-122-1-2-2222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-200-21100-20111-20010011100000000
χ192222-122-122-2-12-2-1-1-12-1-1-1-122-122-22-21-1-1-1111112-2-2-2-1-1-1-1111111-2-2002-1-100-20111200100-1-1-100000000
χ202222-122-122-2-12-2-1-1-12-1-1-1-122-1-2-2-22-21-1-1-1111112-2-2-2-1-1-1-11111112200-2110020-1-1-1-200-10011100000000
χ212222-122-12-22-1-22-1112-1-11122-122-2-22-1-111-1-1-111-22-2-2-1-111-1-1111122002-1-100-20-111-200-100-11100000000
χ222222-122-12-22-1-22-1112-1-11122-1-2-2-2-22-1-111-1-1-111-22-2-2-1-111-1-11111-2-200-21100201-1-12001001-1-100000000
χ232222-122-12-2-2-1-2-2-1112-1-11122-1222-2-21-111111-1-1-2-222-1-11111-1-1-1-1-2-2002-1-100201-1-1-200100-11100000000
χ242222-122-12-2-2-1-2-2-1112-1-11122-1-2-22-2-21-111111-1-1-2-222-1-11111-1-1-1-12200-21100-20-111200-1001-1-100000000
χ25222-12222-122-122222-1-1222-1-12002-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000020000220-1-1000000-1-1-100
χ26222-12222-122-122222-1-1222-1-12002-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000-20000-2-201100000011100
χ27222-12222-12-2-12-2222-1-1222-1-1200-2-11-2-1-1-111-2-2-2-1111-1-1-1-11111110022000000-200002-20-1-10000001-1100
χ28222-12222-12-2-12-2222-1-1222-1-1200-2-11-2-1-1-111-2-2-2-1111-1-1-1-111111100-2-200000020000-22011000000-11-100
χ29222-12222-1-22-1-222-2-2-1-12-2-2-1-1200-21-12-111-1-12-2-21-111-1-111-1-111110022000000-20000-220-1-100000011-100
χ30222-12222-1-22-1-222-2-2-1-12-2-2-1-1200-21-12-111-1-12-2-21-111-1-111-1-1111100-2-2000000200002-2011000000-1-1100
χ31222-12222-1-2-2-1-2-22-2-2-1-12-2-2-1-1200211-2-11111-22211-1-1-1-11111-1-1-1-1002200000020000-2-20-1-1000000-11100
χ32222-12222-1-2-2-1-2-22-2-2-1-12-2-2-1-1200211-2-11111-22211-1-1-1-11111-1-1-1-100-2-2000000-20000220110000001-1-100
χ3322-2222-2220220-2-200-22-2002-22220022-20022-2000-2002-200-2-20000-2200-2220000-200000200-20000000000
χ3422-2222-2220220-2-200-22-2002-22-2-20022-20022-2000-2002-200-2-200002-2002-2-20000200000-20020000000000
χ3522-2222-2220-2202-200-22-2002-222200-2-2-200-2-220002002-2002200002-200-2220000200000-200-20000000000
χ3622-2222-2220-2202-200-22-2002-22-2-200-2-2-200-2-220002002-200220000-22002-2-20000-20000020020000000000
χ3722-222-2222202-20-222-222-2-2-22-2000200-22200000-2000-22-2-200000000000002200000000000000-22-200000
χ3822-222-2222202-20-222-222-2-2-22-2000200-22200000-2000-22-2-20000000000000-2-2000000000000002-2200000
χ3922-222-2222-20220-2-2-2-22222-22-2000-200-2-2-2000002000-2222000000000000022000000000000002-2-200000
χ4022-222-2222-20220-2-2-2-22222-22-2000-200-2-2-2000002000-22220000000000000-2-200000000000000-22200000
χ4122-22-12-2-1202-10-21−i3i3-2-11−i3i32-2-122002-11−i3i3-1-11−i3i30-200-11−i3i311−i3−i3i3i3-2200-2-1-100001−i3i3000-1001−i3i300000000
χ4222-22-12-2-1202-10-21−i3i3-2-11−i3i32-2-1-2-2002-11−i3i3-1-11−i3i30-200-11−i3i311−i3−i3i3i32-2002110000-1i3−i3000100-1i3−i300000000
χ4322-22-12-2-1202-10-21i3−i3-2-11i3−i32-2-122002-11i3−i3-1-11i3−i30-200-11i3−i311i3i3−i3−i3-2200-2-1-100001i3−i3000-1001i3−i300000000
χ4422-22-12-2-1202-10-21i3−i3-2-11i3−i32-2-1-2-2002-11i3−i3-1-11i3−i30-200-11i3−i311i3i3−i3−i32-2002110000-1−i3i3000100-1−i3i300000000
χ4522-22-12-2-120-2-1021−i3i3-2-11−i3i32-2-12200-211−i3i311-1i3−i30200-11−i3i3-1-1i3i3−i3−i32-200-2-1-10000-1i3−i30001001−i3i300000000
χ4622-22-12-2-120-2-1021−i3i3-2-11−i3i32-2-1-2-200-211−i3i311-1i3−i30200-11−i3i3-1-1i3i3−i3−i3-220021100001−i3i3000-100-1i3−i300000000
χ4722-22-12-2-120-2-1021i3−i3-2-11i3−i32-2-12200-211i3−i311-1−i3i30200-11i3−i3-1-1−i3−i3i3i32-200-2-1-10000-1−i3i30001001i3−i300000000
χ4822-22-12-2-120-2-1021i3−i3-2-11i3−i32-2-1-2-200-211i3−i311-1−i3i30200-11i3−i3-1-1−i3−i3i3i3-220021100001i3−i3000-100-1−i3i300000000
χ4944444-4-4440040040044-400-4-4-4000000400000000000-4-4000000000000000000000000000000000000000
χ504444-2-4-4-2400-200-2−2i32i34-222i3−2i3-4-42000000-2−2i32i3000000000222i3−2i30000000000000000000000000000000000000
χ514444-2-4-4-2400-200-22i3−2i34-22−2i32i3-4-42000000-22i3−2i300000000022−2i32i30000000000000000000000000000000000000
χ52444-24-4-44-200-200400-2-2-40022-4000000-2000000000−2i32i3220000−2i32i3−2i32i30000000000000000000000000000000
χ53444-24-4-44-200-200400-2-2-40022-4000000-20000000002i3−2i32200002i3−2i32i3−2i30000000000000000000000000000000
χ54444-2-244-2-244144-2-2-2-21-2-2-2-2-2-2004-2-2-211111-2-2-2-2-2-2-211111111110000000000000000000000000000000
χ55444-2-244-2-24-414-4-2-2-2-21-2-2-2-2-2-200-4-222111-1-1222-22221111-1-1-1-1-1-10000000000000000000000000000000
χ56444-2-244-2-2-441-44-222-21-222-2-2-200-42-2-21-1-111-2222-22211-1-111-1-1-1-10000000000000000000000000000000
χ57444-2-244-2-2-4-41-4-4-222-21-222-2-2-20042221-1-1-1-12-2-222-2-211-1-1-1-111110000000000000000000000000000000
χ58444-2-2-4-4-2-200100-2−2i32i3-2122i3−2i32220000001i3−i33-300000−2i32i3-1-1−i3i33-3i3−i3i3−i30000000000000000000000000000000
χ59444-2-2-4-4-2-200100-2−2i32i3-2122i3−2i32220000001i3−i3-33000002i3−2i3-1-1−i3i3-33−i3i3−i3i30000000000000000000000000000000
χ60444-2-2-4-4-2-200100-22i3−2i3-212−2i32i32220000001−i3i33-3000002i3−2i3-1-1i3−i33-3−i3i3−i3i30000000000000000000000000000000
χ61444-2-2-4-4-2-200100-22i3−2i3-212−2i32i32220000001−i3i3-3300000−2i32i3-1-1i3−i3-33i3−i3i3−i30000000000000000000000000000000
χ6244-44-2-44-2440-2-402-2-2-4-2-222-4420004002-2-200000-40002-2220000000000000000000000000000000000000
χ6344-44-2-44-24-40-240222-4-2-2-2-2-442000-4002220000040002-2-2-20000000000000000000000000000000000000
χ6444-4-244-44-204-20-4-4002-2-400-2240000-24200-2-2-4000200-22002200000000000000000000000000000000000
χ6544-4-244-44-20-4-204-4002-2-400-22400002-4200224000-200-2200-2-200000000000000000000000000000000000
χ6644-4-24-444-240-2-40-4442-24-4-42-2-4000-2002-2-20000020002-2220000000000000000000000000000000000000
χ6744-4-24-444-2-40-240-4-4-42-24442-2-400020022200000-20002-2-2-20000000000000000000000000000000000000
χ6844-4-2-24-4-2-20410-42−2i32i3212−2i32i3-22-20000-2-2-1i3−i3112−2i32i302001-1i3−i3-1-1i3i3−i3−i30000000000000000000000000000000
χ6944-4-2-24-4-2-20410-422i3−2i32122i3−2i3-22-20000-2-2-1−i3i31122i3−2i302001-1−i3i3-1-1−i3−i3i3i30000000000000000000000000000000
χ7044-4-2-24-4-2-20-41042−2i32i3212−2i32i3-22-2000022-1i3−i3-1-1-22i3−2i30-2001-1i3−i311−i3−i3i3i30000000000000000000000000000000
χ7144-4-2-24-4-2-20-410422i3−2i32122i3−2i3-22-2000022-1−i3i3-1-1-2−2i32i30-2001-1−i3i311i3i3−i3−i30000000000000000000000000000000
χ7244-4-2-2-44-2-2401-402-2-221-2222-22000-200-1113-30002000-11-1-1-33-333-30000000000000000000000000000000
χ7344-4-2-2-44-2-2401-402-2-221-2222-22000-200-111-330002000-11-1-13-33-3-330000000000000000000000000000000
χ7444-4-2-2-44-2-2-4014022221-2-2-22-22000200-1-1-13-3000-2000-1111-333-3-330000000000000000000000000000000
χ7544-4-2-2-44-2-2-4014022221-2-2-22-22000200-1-1-1-33000-2000-11113-3-333-30000000000000000000000000000000
χ764-404400-4-4004000000-4000000−2i22i200000000000000000000000000002-20−2i22i2−2i22i20000000002-200000000000
χ774-404400-4-4004000000-4000000−2i22i20000000000000000000000000000-220−2i22i22i2−2i2000000000-2200000000000
χ784-404400-4-4004000000-40000002i2−2i200000000000000000000000000002-202i2−2i22i2−2i20000000002-200000000000
χ794-404400-4-4004000000-40000002i2−2i20000000000000000000000000000-2202i2−2i2−2i22i2000000000-2200000000000
χ808-808-4004-800-40000004000000−4i24i200000000000000000000000000000002i2−2i2000000000000000000000000
χ818-808-4004-800-400000040000004i2−4i20000000000000000000000000000000−2i22i2000000000000000000000000
χ828-80-4800-8400-400000040000000000000000000000000000000000004-400000000000000-2200000000000
χ838-80-4800-8400-40000004000000000000000000000000000000000000-44000000000000002-200000000000
χ8416-160-8-80088004000000-400000000000000000000000000000000000000000000000000000000000000000

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