Finite Group Databasebeta

← Group #11798643

Character table — Group #11798643

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222222444444444488888888888888888881616161616242424242424242424242424242424242424484848144144
order122336666223466666624666666666666612121212612121212224444666612121212121212124121248
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
χ51111111111111111111-1-1111-1-1-1-111-1-1-1-111-1-111-1-1-111-111-1111111-1-1-1-111-1-1-11-1
χ61111111111111111111-1-1111-1-1-1-111-1-1-1-111-1-111-1-1-11-1-1-11-111-1-111-1-1-1-1-1-1111-11
χ71111111111111111111-1-1111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111-11-1-111-1-1111111-1-1-1-11
χ81111111111111111111-1-1111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11-1-11-1-1-1-1-1-11111-1-11111-1
χ92222222222-22-22222222-22-2-22222222222-2-2-2-2-2-2-2-2-200000000000000000000000
χ102222222222-22-2222222-222-2-2-2-2-2-222-2-2-2-2-2-222-2-222200000000000000000000000
χ11222222222-222-22222-2-200-2220000-2-20000-2-2002-20002000-202200-2-200000000000
χ12222222222-222-22222-2-200-2220000-2-20000-2-2002-2000-200020-2-2002200000000000
χ13222222222-2-2222222-2-200-2-2-20000-2-200002200-2200000200-200000022-2-20000000
χ14222222222-2-2222222-2-200-2-2-20000-2-200002200-2200000-2002000000-2-2220000000
χ152222-1222-122-12-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-12-122-1-1-1-1-102020000-1-1000000-1-12-1-100
χ162222-1222-122-12-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-12-122-1-1-1-1-10-20-200001100000011-21100
χ172222-1222-122-12-1-1-1-1-1-1-2-222-1-2-211-1-111112-1-2-2-1-111102020000-1-1000000-1-1-21100
χ182222-1222-122-12-1-1-1-1-1-1-2-222-1-2-211-1-111112-1-2-2-1-11110-20-2000011000000112-1-100
χ192222-1222-12-2-1-2-1-1-1-1-1-12-22-2122-1-1-1-1-1-1-1-1-21-2-21111100000000i3−i3000000i3−i30i3−i300
χ202222-1222-12-2-1-2-1-1-1-1-1-12-22-2122-1-1-1-1-1-1-1-1-21-2-21111100000000−i3i3000000−i3i30−i3i300
χ212222-1222-12-2-1-2-1-1-1-1-1-1-222-21-2-211-1-11111-212211-1-1-100000000i3−i3000000i3−i30−i3i300
χ222222-1222-12-2-1-2-1-1-1-1-1-1-222-21-2-211-1-11111-212211-1-1-100000000−i3i3000000−i3i30i3−i300
χ23222-12-1-1-1222-122-1-1-12222-1-12-1-122-1-1-1-1-1-1-12-1-1-1-12-1-1202022-1-100-1-1-1-1-1-10000000
χ24222-12-1-1-1222-122-1-1-12222-1-12-1-122-1-1-1-1-1-1-12-1-1-1-12-1-1-20-20-2-211001111110000000
χ25222-12-1-1-1222-122-1-1-122-2-2-1-1211-2-2-1-11111-1211-1-1-21120-202-2-1-100-1-111110000000
χ26222-12-1-1-1222-122-1-1-122-2-2-1-1211-2-2-1-11111-1211-1-1-211-2020-22110011-1-1-1-10000000
χ27222-12-1-1-122-2-1-22-1-1-1222-2-11-2-1-122-1-1-1-1-1-11-21111-211000000i3−i300i3−i3i3−i3i3−i30000000
χ28222-12-1-1-122-2-1-22-1-1-1222-2-11-2-1-122-1-1-1-1-1-11-21111-211000000−i3i300−i3i3−i3i3−i3i30000000
χ29222-12-1-1-122-2-1-22-1-1-122-22-11-211-2-2-1-111111-2-1-1112-1-1000000i3−i300i3−i3−i3i3−i3i30000000
χ30222-12-1-1-122-2-1-22-1-1-122-22-11-211-2-2-1-111111-2-1-1112-1-1000000−i3i300−i3i3i3−i3i3−i30000000
χ31222-12-1-1-12-22-1-22-1-1-1-2-2001-12i3−i30011i3i3−i3−i31-2i3−i3-110i3−i32000-20-1-10011i3−i3−i3i30000000
χ32222-12-1-1-12-22-1-22-1-1-1-2-2001-12i3−i30011i3i3−i3−i31-2i3−i3-110i3−i3-2000201100-1-1−i3i3i3−i30000000
χ33222-12-1-1-12-22-1-22-1-1-1-2-2001-12−i3i30011−i3−i3i3i31-2−i3i3-110−i3i32000-20-1-10011−i3i3i3−i30000000
χ34222-12-1-1-12-22-1-22-1-1-1-2-2001-12−i3i30011−i3−i3i3i31-2−i3i3-110−i3i3-2000201100-1-1i3−i3−i3i30000000
χ35222-12-1-1-12-2-2-122-1-1-1-2-20011-2i3−i30011i3i3−i3−i3-12−i3i31-10−i3i300200-2i3−i300−i3i3-1-1110000000
χ36222-12-1-1-12-2-2-122-1-1-1-2-20011-2i3−i30011i3i3−i3−i3-12−i3i31-10−i3i300-2002−i3i300i3−i311-1-10000000
χ37222-12-1-1-12-2-2-122-1-1-1-2-20011-2−i3i30011−i3−i3i3i3-12i3−i31-10i3−i300200-2−i3i300i3−i3-1-1110000000
χ38222-12-1-1-12-2-2-122-1-1-1-2-20011-2−i3i30011−i3−i3i3i3-12i3−i31-10i3−i300-2002i3−i300−i3i311-1-10000000
χ394444-2444-2-44-2-4-2-2-2-22200-44-20000220000-4200-2200000000000000000000000000
χ404444-2444-2-4-4-24-2-2-2-22200-4-4200002200004-2002-200000000000000000000000000
χ41444-2-2-2-2-2-24414-2111-2-244-2-2-2-2-2-2-2111111-2-2-2-211-21100000000000000000000000
χ42444-2-2-2-2-2-24414-2111-2-2-4-4-2-2-2222211-1-1-1-1-2-222112-1-100000000000000000000000
χ43444-2-2-2-2-2-24-41-4-2111-2-24-4-222-2-2-2-21111112222-1-12-1-100000000000000000000000
χ44444-2-2-2-2-2-24-41-4-2111-2-2-44-222222211-1-1-1-122-2-2-1-1-21100000000000000000000000
χ45444-2-2-2-2-2-2-441-4-211122002-2-22i3−2i300-1-1−i3−i3i3i3222i3−2i31-10−i3i300000000000000000000000
χ46444-2-2-2-2-2-2-441-4-211122002-2-2−2i32i300-1-1i3i3−i3−i322−2i32i31-10i3−i300000000000000000000000
χ47444-2-2-2-2-2-2-4-414-211122002222i3−2i300-1-1−i3−i3i3i3-2-2−2i32i3-110i3−i300000000000000000000000
χ48444-2-2-2-2-2-2-4-414-21112200222−2i32i300-1-1i3i3−i3−i3-2-22i3−2i3-110−i3i300000000000000000000000
χ4944-4444-4-440040-44-4-400000000000000000000000000020-2000022000000-2-200000
χ5044-4444-4-440040-44-4-4000000000000000000000000000-2020000-2-20000002200000
χ5144-44-24-4-4-200-202-2222i3−2i30000000002i3−2i30000000000000020-20000−1+i3−1−i30000001−i31+i300000
χ5244-44-24-4-4-200-202-2222i3−2i30000000002i3−2i300000000000000-20200001−i31+i3000000−1+i3−1−i300000
χ5344-44-24-4-4-200-202-222−2i32i3000000000−2i32i30000000000000020-20000−1−i3−1+i30000001+i31−i300000
χ5444-44-24-4-4-200-202-222−2i32i3000000000−2i32i300000000000000-20200001+i31−i3000000−1−i3−1+i300000
χ5588-8-48-444800-40-8-4440000000000000000000000000000000000000000000000000
χ5688-8-4-4-444-4002042-2-24i3−4i3000000000−2i32i3000000000000000000000000000000000000
χ5788-8-4-4-444-4002042-2-2−4i34i30000000002i3−2i3000000000000000000000000000000000000
χ588-8088-800-800800-8000000000000000000000000000000000000000000000000000
χ598-808-4-800400-4004000000000002i3−2i3002i3−2i32i3−2i300000000000000000000000000000000
χ608-808-4-800400-400400000000000−2i32i300−2i32i3−2i32i300000000000000000000000000000000
χ618-80-4844i3−4i3-800-40044i3−4i30000000000000000000000000000000000000000000000000
χ628-80-484−4i34i3-800-4004−4i34i30000000000000000000000000000000000000000000000000
χ638-80-4-444i3−4i3400200-2−2i32i30000000002i3−2i3003−i3−3+i3−3−i33+i300000000000000000000000000000000
χ648-80-4-444i3−4i3400200-2−2i32i3000000000−2i32i300−3+i33−i33+i3−3−i300000000000000000000000000000000
χ658-80-4-44−4i34i3400200-22i3−2i30000000002i3−2i300−3−i33+i33−i3−3+i300000000000000000000000000000000
χ668-80-4-44−4i34i3400200-22i3−2i3000000000−2i32i3003+i3−3−i3−3+i33−i300000000000000000000000000000000

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