Finite Group Databasebeta

← Group #72231611

Character table — Group #72231611

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size123336666666666661212121212121212121224242424363636484848484848484848487272727272128144144256384
order1322222222666666622266666662444244446121212121212122444434436
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111
χ31111111111111111111-111111111111-1-1-11111111111-1-1-1-1-11-1-11-1
χ41111111111111111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111111-1
χ52222222222222222222222222220000222000000000000020-100-1-1
χ62222222222222222222-222222220000-2-2-20000000000000-20-100-11
χ72-122222222-1-1-1-1-1-1-1220-1-1-1-1-1-1-1222200022-1-1-1-1-1-1-1-100000200-10
χ82-122222222-1-1-1-1-1-1-1220-1-1-1-1-1-1-1-2-2-2-2000-2-21111111100000200-10
χ9333333-1-1-1-1333-1-1-1-1-1-133-1-1-1-1-1-111113-1-1-1-11111-1-1-1-1111-110-1-100
χ10333333-1-1-1-1333-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-13-1-111-1-1-1-11111-1-1-1-1-101100
χ11333333-1-1-1-1333-1-1-1-1-1-1-33-1-1-1-1-1-11111-311-1-11111-1-1-1-1-1-1-11-101100
χ12333333-1-1-1-1333-1-1-1-1-1-1-33-1-1-1-1-1-1-1-1-1-1-31111-1-1-1-11111111110-1-100
χ1333-1-13-13-13-13-1-133-1-1-1-13-13-1-1-1-1-11-1-11-13-11-111-1-111-1-11-1-1-1101-100
χ1433-1-13-13-13-13-1-133-1-1-1-13-13-1-1-1-1-1-111-1-13-1-11-1-111-1-111-111-1-10-1100
χ1533-1-13-13-13-13-1-133-1-1-1-1-3-13-1-1-1-1-11-1-111-311-111-1-111-1-1-1111-10-1100
χ1633-1-13-13-13-13-1-133-1-1-1-1-3-13-1-1-1-1-1-111-11-31-11-1-111-1-1111-1-11101-100
χ1733-1-13-1-13-133-1-1-1-133-1-13-1-13-1-1-1-11-1-11-1-13-1111-1-1-1-1111-1-1-110-1100
χ1833-1-13-1-13-133-1-1-1-133-1-13-1-13-1-1-1-1-111-1-1-131-1-1-11111-1-1-111-1-101-100
χ1933-1-13-1-13-133-1-1-1-133-1-1-3-1-13-1-1-1-11-1-1111-3-1111-1-1-1-111-1111-101-100
χ2033-1-13-1-13-133-1-1-1-133-1-1-3-1-13-1-1-1-1-111-111-31-1-1-11111-1-11-1-1110-1100
χ214-244444444-2-2-2-2-2-2-2440-2-2-2-2-2-2-20000000000000000000000-20010
χ22666-2-2-222-2-2-26-222222-20-2-2-222-2-222-2-2000002-22-200000000000000
χ23666-2-2-222-2-2-26-222222-20-2-2-222-2-2-2-22200000-22-2200000000000000
χ24666-2-2-2-2-222-26-2-2-2-2-2-220-222-2-2220000000000000000022-20-200000
χ25666-2-2-2-2-222-26-2-2-2-2-2-220-222-2-22200000000000000000-2-220200000
χ2666-26-2-222-2-2-2-262222-220-2-2-2-2-2222-22-2000002-2-2200000000000000
χ2766-26-2-222-2-2-2-262222-220-2-2-2-2-222-22-2200000-222-200000000000000
χ2866-26-2-2-2-222-2-26-2-2-2-22-20-22222-2-2000000000000000002-220-200000
χ2966-26-2-2-2-222-2-26-2-2-2-22-20-22222-2-200000000000000000-22-20200000
χ3066-2-26-2-2-2-2-26-2-2-2-2-2-2226-2-2-222220000-2-2-200000000000002000000
χ3166-2-26-2-2-2-2-26-2-2-2-2-2-222-6-2-2-2222200002220000000000000-2000000
χ326-36666-2-2-2-2-3-3-31111-2-20-31111112222000-2-2-1-1-1-111110000000000
χ336-36666-2-2-2-2-3-3-31111-2-20-3111111-2-2-2-2000221111-1-1-1-10000000000
χ346-36-2-2-222-2-21-31−1+2i3−1−2i3−1+2i3−1−2i32-20111−1+2i3−1−2i31122-2-200000-11-11i3−i3i3−i30000000000
χ356-36-2-2-222-2-21-31−1+2i3−1−2i3−1+2i3−1−2i32-20111−1+2i3−1−2i311-2-222000001-11-1−i3i3−i3i30000000000
χ366-36-2-2-222-2-21-31−1−2i3−1+2i3−1−2i3−1+2i32-20111−1−2i3−1+2i31122-2-200000-11-11−i3i3−i3i30000000000
χ376-36-2-2-222-2-21-31−1−2i3−1+2i3−1−2i3−1+2i32-20111−1−2i3−1+2i311-2-222000001-11-1i3−i3i3−i30000000000
χ386-3-26-2-222-2-211-3−1+2i3−1−2i3−1−2i3−1+2i3-22011111−1+2i3−1−2i32-22-200000-111-1i3−i3−i3i30000000000
χ396-3-26-2-222-2-211-3−1+2i3−1−2i3−1−2i3−1+2i3-22011111−1+2i3−1−2i3-22-22000001-1-11−i3i3i3−i30000000000
χ406-3-26-2-222-2-211-3−1−2i3−1+2i3−1+2i3−1−2i3-22011111−1−2i3−1+2i32-22-200000-111-1−i3i3i3−i30000000000
χ416-3-26-2-222-2-211-3−1−2i3−1+2i3−1+2i3−1−2i3-22011111−1−2i3−1+2i3-22-22000001-1-11i3−i3−i3i30000000000
χ426-3-2-26-26-26-2-311-3-311-2-201-3111112-2-220002-2-1-111-1-1110000000000
χ436-3-2-26-26-26-2-311-3-311-2-201-311111-222-2000-2211-1-111-1-10000000000
χ446-3-2-26-2-26-26-31111-3-3-2-2011-311112-2-22000-22-1-11111-1-10000000000
χ456-3-2-26-2-26-26-31111-3-3-2-2011-31111-222-20002-211-1-1-1-1110000000000
χ461212-4-4-444-4-44-4-4-444-4-40004-440000000000000000000000000000000
χ471212-4-4-44-444-4-4-4-4-4-44400044-40000000000000000000000000000000
χ4812-612-4-4-4-4-4442-622222-4402-2-222-2-2000000000000000000000000000
χ4912-6-412-4-4-4-44422-622224-402-2-2-2-222000000000000000000000000000
χ5012-6-4-412-4-4-4-4-4-6222222440222-2-2-2-2000000000000000000000000000
χ5112-6-4-4-444-4-44222−2+4i3−2−4i322000-22-2−2i32i3−2i32i3000000000000000000000000000
χ5212-6-4-4-444-4-44222−2−4i3−2+4i322000-22-22i3−2i32i3−2i3000000000000000000000000000
χ5312-6-4-4-44-444-422222−2+4i3−2−4i3000-2-22−2i32i32i3−2i3000000000000000000000000000
χ5412-6-4-4-44-444-422222−2−4i3−2+4i3000-2-222i3−2i3−2i32i3000000000000000000000000000

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