Finite Group Databasebeta

← Group #11798772

Character table — Group #11798772

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222222444444444488888888888888888881616161616242424242424242424242424242424242424484848144144
order1223366663444666612124412121212121212121212121212121212121212121212224444666612121212121212128242488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-11-11111-1-1111111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-11-11-1-1-1-111-1-1-1-1-1-111111-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-111-1-111-111-1111111-1-1-1-111-1-1-11-1
χ61111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-111-1-11-1-1-11-111-1-111-1-1-1-1-1-1111-11
χ71111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-111-1-1-1111-11-1-111-1-1111111-1-1-1-11
χ81111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-111-1-1-1-11-1-11-1-1-1-1-1-11111-1-11111-1
χ922222222222-2-22222222-2-2-22-2-2-2-222-2-2-2-2-2-2222-2-22200000000000000000000000
χ1022222222222-2-2222222-22222-2-2-2-2-2-222222222-2-2-2-2-200000000000000000000000
χ112222222222-22-22222-2-20000-222-2-200000000-2-202-20000200-2000000-2-2220000000
χ122222222222-22-22222-2-20000-222-2-200000000-2-202-20000-200200000022-2-20000000
χ132222222222-2-222222-2-20000-2-2-22200000000-2-20-22002000-202200-2-200000000000
χ142222222222-2-222222-2-20000-2-2-22200000000-2-20-2200-200020-2-2002200000000000
χ152222-1222-1-1222-1-1-1-1-1-1222222-12-122-1-1-1-1-1-1-1-1-1-1-1-1-102020000-1-1000000-1-12-1-100
χ162222-1222-1-1222-1-1-1-1-1-1222222-12-122-1-1-1-1-1-1-1-1-1-1-1-1-10-20-200001100000011-21100
χ172222-1222-1-1222-1-1-1-1-1-1-2-2-2-222-12-1-2-2111111-1-11-1-11102020000-1-1000000-1-1-21100
χ182222-1222-1-1222-1-1-1-1-1-1-2-2-2-222-12-1-2-2111111-1-11-1-1110-20-2000011000000112-1-100
χ192222-1222-1-12-2-2-1-1-1-1-1-12-2-2-22-21-2122111111-1-1-111-1-100000000i3−i3000000i3−i30i3−i300
χ202222-1222-1-12-2-2-1-1-1-1-1-12-2-2-22-21-2122111111-1-1-111-1-100000000−i3i3000000−i3i30−i3i300
χ212222-1222-1-12-2-2-1-1-1-1-1-1-22222-21-21-2-2-1-1-1-1-1-1-1-11111100000000i3−i3000000i3−i30−i3i300
χ222222-1222-1-12-2-2-1-1-1-1-1-1-22222-21-21-2-2-1-1-1-1-1-1-1-11111100000000−i3i3000000−i3i30i3−i300
χ23222-12-1-1-12-12222-1-1-12222-1-1-1-12-12-1-122-1-1-1-1-1-12-1-1-1-1202022-1-100-1-1-1-1-1-10000000
χ24222-12-1-1-12-12222-1-1-12222-1-1-1-12-12-1-122-1-1-1-1-1-12-1-1-1-1-20-20-2-211001111110000000
χ25222-12-1-1-12-12222-1-1-122-2-211-1-12-1211-2-21111-1-1-2-1-11120-202-2-1-100-1-111110000000
χ26222-12-1-1-12-12222-1-1-122-2-211-1-12-1211-2-21111-1-1-2-1-111-2020-22110011-1-1-1-10000000
χ27222-12-1-1-12-12-2-22-1-1-1222-211-11-21-2-1-1-2-21111-1-1211-1-1000000i3−i300i3−i3i3−i3i3−i30000000
χ28222-12-1-1-12-12-2-22-1-1-1222-211-11-21-2-1-1-2-21111-1-1211-1-1000000−i3i300−i3i3−i3i3−i3i30000000
χ29222-12-1-1-12-12-2-22-1-1-122-22-1-1-11-21-21122-1-1-1-1-1-1-21111000000i3−i300i3−i3−i3i3−i3i30000000
χ30222-12-1-1-12-12-2-22-1-1-122-22-1-1-11-21-21122-1-1-1-1-1-1-21111000000−i3i300−i3i3i3−i3i3−i30000000
χ31222-12-1-1-12-1-22-22-1-1-1-2-200i3−i31-121-2i3−i300i3i3−i3−i3110-11i3−i300200-2i3−i300−i3i311-1-10000000
χ32222-12-1-1-12-1-22-22-1-1-1-2-200i3−i31-121-2i3−i300i3i3−i3−i3110-11i3−i300-2002−i3i300i3−i3-1-1110000000
χ33222-12-1-1-12-1-22-22-1-1-1-2-200−i3i31-121-2−i3i300−i3−i3i3i3110-11−i3i300200-2−i3i300i3−i311-1-10000000
χ34222-12-1-1-12-1-22-22-1-1-1-2-200−i3i31-121-2−i3i300−i3−i3i3i3110-11−i3i300-2002i3−i300−i3i3-1-1110000000
χ35222-12-1-1-12-1-2-222-1-1-1-2-200i3−i311-2-12−i3i300i3i3−i3−i31101-1−i3i32000-20-1-10011i3−i3−i3i30000000
χ36222-12-1-1-12-1-2-222-1-1-1-2-200i3−i311-2-12−i3i300i3i3−i3−i31101-1−i3i3-2000201100-1-1−i3i3i3−i30000000
χ37222-12-1-1-12-1-2-222-1-1-1-2-200−i3i311-2-12i3−i300−i3−i3i3i31101-1i3−i32000-20-1-10011−i3i3i3−i30000000
χ38222-12-1-1-12-1-2-222-1-1-1-2-200−i3i311-2-12i3−i300−i3−i3i3i31101-1i3−i3-2000201100-1-1i3−i3−i3i30000000
χ394444-2444-2-2-44-4-2-2-2-2220000-44-2-4200000000220-220000000000000000000000000
χ404444-2444-2-2-4-44-2-2-2-2220000-4-424-2000000002202-20000000000000000000000000
χ41444-2-2-2-2-2-21444-2111-2-244-2-2-2-2-2-2-2-2-2-2-2111111-2111100000000000000000000000
χ42444-2-2-2-2-2-21444-2111-2-2-4-422-2-2-2-2-22222-1-1-1-111211-1-100000000000000000000000
χ43444-2-2-2-2-2-214-4-4-2111-2-24-422-22222-2-222-1-1-1-111-2-1-11100000000000000000000000
χ44444-2-2-2-2-2-214-4-4-2111-2-2-44-2-2-2222222-2-21111112-1-1-1-100000000000000000000000
χ45444-2-2-2-2-2-21-44-4-211122002i3−2i32-2-2222i3−2i300−i3−i3i3i3-1-101-1−i3i300000000000000000000000
χ46444-2-2-2-2-2-21-44-4-21112200−2i32i32-2-222−2i32i300i3i3−i3−i3-1-101-1i3−i300000000000000000000000
χ47444-2-2-2-2-2-21-4-44-211122002i3−2i3222-2-2−2i32i300−i3−i3i3i3-1-10-11i3−i300000000000000000000000
χ48444-2-2-2-2-2-21-4-44-21112200−2i32i3222-2-22i3−2i300i3i3−i3−i3-1-10-11−i3i300000000000000000000000
χ4944-444-4-4444000-4-4-4400000000000000000000000000020-2000022000000-2-200000
χ5044-444-4-4444000-4-4-44000000000000000000000000000-2020000-2-20000002200000
χ5144-44-2-4-44-2-2000222-22i3−2i3000000000000000002i3−2i300000020-20000−1+i3−1−i30000001−i31+i300000
χ5244-44-2-4-44-2-2000222-22i3−2i3000000000000000002i3−2i3000000-20200001−i31+i3000000−1+i3−1−i300000
χ5344-44-2-4-44-2-2000222-2−2i32i300000000000000000−2i32i300000020-20000−1−i3−1+i30000001+i31−i300000
χ5444-44-2-4-44-2-2000222-2−2i32i300000000000000000−2i32i3000000-20200001+i31−i3000000−1−i3−1+i300000
χ5588-8-4844-48-4000-844-40000000000000000000000000000000000000000000000000
χ5688-8-4-444-4-420004-2-224i3−4i300000000000000000−2i32i30000000000000000000000000000
χ5788-8-4-444-4-420004-2-22−4i34i3000000000000000002i3−2i30000000000000000000000000000
χ588-808800-8-88000000-80000000000000000000000000000000000000000000000000
χ598-808-400-84-4000000400000000000002i3−2i32i3−2i32i3−2i3000000000000000000000000000000
χ608-808-400-84-400000040000000000000−2i32i3−2i32i3−2i32i3000000000000000000000000000000
χ618-80-484i3−4i34-8-400004i3−4i340000000000000000000000000000000000000000000000000
χ628-80-48−4i34i34-8-40000−4i34i340000000000000000000000000000000000000000000000000
χ638-80-4-44i3−4i34420000−2i32i3-200000000000002i3−2i33−i3−3+i3−3−i33+i3000000000000000000000000000000
χ648-80-4-44i3−4i34420000−2i32i3-20000000000000−2i32i3−3+i33−i33+i3−3−i3000000000000000000000000000000
χ658-80-4-4−4i34i344200002i3−2i3-200000000000002i3−2i3−3−i33+i33−i3−3+i3000000000000000000000000000000
χ668-80-4-4−4i34i344200002i3−2i3-20000000000000−2i32i33+i3−3−i3−3+i33−i3000000000000000000000000000000

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