Finite Group Databasebeta

← Group #11798723

Character table — Group #11798723

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222222444444444488888888888888888881616161616242424242424242424242424242424242424484848144144
order1223366662234666666446666612121212121212121212121261212121224444466121212121212121212124121248
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
χ51111111111111111111-1-111111-1-11-1-11-1-1-1-1-1-11-1-1-11111-11-11111-1-11111-1-1-1-1-11-1
χ61111111111111111111-1-111111-1-11-1-11-1-1-1-1-1-11-1-1-1111-11-1111-1-11111-1-111-1-1-1-11
χ71111111111111111111-1-111111-1-11-1-11-1-1-1-1-1-11-1-1-11-1-11-11-1-1-111-1-1-1-111-1-1111-11
χ81111111111111111111-1-111111-1-11-1-11-1-1-1-1-1-11-1-1-11-1-1-11-11-1-1-1-111-1-1-1-1111111-1
χ92222222222-22-22222222-22-2-222-2-2-222-2222222-2-2-2-2-200000000000000000000000
χ102222222222-22-2222222-222-2-22222-2-2-2-2-2-2-2-2-2-2-2222-200000000000000000000000
χ11222222222-222-2222-2-2200-222-2-200-200-20000002000-20020-2000-2-20000220000000
χ12222222222-222-2222-2-2200-222-2-200-200-20000002000-200-202000220000-2-20000000
χ13222222222-2-222222-2-2200-2-2-2-2-2002002000000-2000200020-20000-2-200002200000
χ14222222222-2-222222-2-2200-2-2-2-2-2002002000000-20002000-2020000220000-2-200000
χ152222-122-1222-12-1-1-1-1-1-12222-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1220000-1-10000-1-100002-1-100
χ162222-122-1222-12-1-1-1-1-1-12222-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-2-20000110000110000-21100
χ172222-122-1222-12-1-1-1-1-1-1-2-222-1-1-1-2-2-1112-2-21111-1111-1220000-1-10000-1-10000-21100
χ182222-122-1222-12-1-1-1-1-1-1-2-222-1-1-1-2-2-1112-2-21111-1111-1-2-200001100001100002-1-100
χ192222-122-122-2-1-2-1-1-1-1-1-12-22-21-1-1-2-21-1-1-222-1-1-1-111111000000−i3i30000−i3i300000−i3i300
χ202222-122-122-2-1-2-1-1-1-1-1-12-22-21-1-1-2-21-1-1-222-1-1-1-111111000000i3−i30000i3−i300000i3−i300
χ212222-122-122-2-1-2-1-1-1-1-1-1-222-21-1-122111-2-2-211111-1-1-11000000−i3i30000−i3i300000i3−i300
χ222222-122-122-2-1-2-1-1-1-1-1-1-222-21-1-122111-2-2-211111-1-1-11000000i3−i30000i3−i300000−i3i300
χ23222-12-1-12-122-122-1-122-122-1-12-1-1-1-1222-1-1-1-1-1-1-1-12-1-1-100222200-1-1-1-100-1-1-1-100000
χ24222-12-1-12-122-122-1-122-122-1-12-1-1-1-1222-1-1-1-1-1-1-1-12-1-1-100-2-2-2-200111100111100000
χ25222-12-1-12-122-122-1-122-1-2-2-1-12-1-1112-2-2-1111111-1-211-1002-22-200-1-11100-1-11100000
χ26222-12-1-12-122-122-1-122-1-2-2-1-12-1-1112-2-2-1111111-1-211-100-22-220011-1-10011-1-100000
χ27222-12-1-12-12-2-1-22-1-122-12-2-11-2-1-111-2221-1-1-1-1-1-11-211100000000−i3i3−i3i300−i3i3−i3i300000
χ28222-12-1-12-12-2-1-22-1-122-12-2-11-2-1-111-2221-1-1-1-1-1-11-211100000000i3−i3i3−i300i3−i3i3−i300000
χ29222-12-1-12-12-2-1-22-1-122-1-22-11-2-1-1-1-1-2-2-2111111112-1-1100000000−i3i3i3−i300−i3i3i3−i300000
χ30222-12-1-12-12-2-1-22-1-122-1-22-11-2-1-1-1-1-2-2-2111111112-1-1100000000i3−i3−i3i300i3−i3−i3i300000
χ31222-12-1-12-1-22-1-22-1-1-2-2-1001-1211−i3i3-2001−i3i3−i3−i3i3i3-10−i3i310020-200011−i3i300-1-1i3−i300000
χ32222-12-1-12-1-22-1-22-1-1-2-2-1001-1211−i3i3-2001−i3i3−i3−i3i3i3-10−i3i3100-202000-1-1i3−i30011−i3i300000
χ33222-12-1-12-1-22-1-22-1-1-2-2-1001-1211i3−i3-2001i3−i3i3i3−i3−i3-10i3−i310020-200011i3−i300-1-1−i3i300000
χ34222-12-1-12-1-22-1-22-1-1-2-2-1001-1211i3−i3-2001i3−i3i3i3−i3−i3-10i3−i3100-202000-1-1−i3i30011i3−i300000
χ35222-12-1-12-1-2-2-122-1-1-2-2-10011-211−i3i3200-1i3−i3i3i3−i3−i310−i3i3-100020-200i3−i31100−i3i3-1-100000
χ36222-12-1-12-1-2-2-122-1-1-2-2-10011-211−i3i3200-1i3−i3i3i3−i3−i310−i3i3-1000-20200−i3i3-1-100i3−i31100000
χ37222-12-1-12-1-2-2-122-1-1-2-2-10011-211i3−i3200-1−i3i3−i3−i3i3i310i3−i3-100020-200−i3i31100i3−i3-1-100000
χ38222-12-1-12-1-2-2-122-1-1-2-2-10011-211i3−i3200-1−i3i3−i3−i3i3i310i3−i3-1000-20200i3−i3-1-100−i3i31100000
χ394444-244-24-44-2-4-2-2-222-200-44-22200200-4000000-2000200000000000000000000000
χ404444-244-24-4-4-24-2-2-222-200-4-422200-20040000002000-200000000000000000000000
χ41444-2-2-2-2-2-24414-211-2-2144-2-2-211-2-2-2-2-2-2-2-211111-211100000000000000000000000
χ42444-2-2-2-2-2-24414-211-2-21-4-4-2-2-21122-222-222-1-1-1-112-1-1100000000000000000000000
χ43444-2-2-2-2-2-24-41-4-211-2-214-4-22211222-2-22-2-21111-12-1-1-100000000000000000000000
χ44444-2-2-2-2-2-24-41-4-211-2-21-44-22211-2-2222222-1-1-1-1-1-211-100000000000000000000000
χ45444-2-2-2-2-2-2-441-4-211221002-2-2-1-1−2i32i32002−2i32i3i3i3−i3−i310i3−i3-100000000000000000000000
χ46444-2-2-2-2-2-2-441-4-211221002-2-2-1-12i3−2i320022i3−2i3−i3−i3i3i310−i3i3-100000000000000000000000
χ47444-2-2-2-2-2-2-4-414-21122100222-1-1−2i32i3-200-22i3−2i3−i3−i3i3i3-10i3−i3100000000000000000000000
χ48444-2-2-2-2-2-2-4-414-21122100222-1-12i3−2i3-200-2−2i32i3i3i3−i3−i3-10−i3i3100000000000000000000000
χ4944-444-4-4440040-4-4-40040000000000000000000000002-20000220000-2-2000000000
χ5044-444-4-4440040-4-4-4004000000000000000000000000-220000-2-2000022000000000
χ5144-44-2-4-4-2400-20222−2i32i3-200000−2i32i3000000000000000002-20000−1−i3−1+i300001+i31−i3000000000
χ5244-44-2-4-4-2400-20222−2i32i3-200000−2i32i300000000000000000-2200001+i31−i30000−1−i3−1+i3000000000
χ5344-44-2-4-4-2400-202222i3−2i3-2000002i3−2i3000000000000000002-20000−1+i3−1−i300001−i31+i3000000000
χ5444-44-2-4-4-2400-202222i3−2i3-2000002i3−2i300000000000000000-2200001−i31+i30000−1+i3−1−i3000000000
χ5588-8-48448-400-40-84400-400000000000000000000000000000000000000000000000
χ5688-8-4-444-4-400204-2-2−4i34i32000002i3−2i30000000000000000000000000000000000000000
χ5788-8-4-444-4-400204-2-24i3−4i3200000−2i32i30000000000000000000000000000000000000000
χ588-808800-8-8008000000-800000000000000000000000000000000000000000000000
χ598-808-4004-800-40000004000000000023−2300023−2323−230000000000000000000000000000
χ608-808-4004-800-400000040000000000−2323000−2323−23230000000000000000000000000000
χ618-80-48−4i34i3-8400-400−4i34i300400000000000000000000000000000000000000000000000
χ628-80-484i3−4i3-8400-4004i3−4i300400000000000000000000000000000000000000000000000
χ638-80-4-4−4i34i344002002i3−2i300-2000000000023−230004ζ7+2ζ11−4ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ110000000000000000000000000000
χ648-80-4-4−4i34i344002002i3−2i300-20000000000−2323000−4ζ7−2ζ114ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ110000000000000000000000000000
χ658-80-4-44i3−4i34400200−2i32i300-2000000000023−23000−2ζ7−4ζ112ζ7+4ζ114ζ7+2ζ11−4ζ7−2ζ110000000000000000000000000000
χ668-80-4-44i3−4i34400200−2i32i300-20000000000−23230002ζ7+4ζ11−2ζ7−4ζ11−4ζ7−2ζ114ζ7+2ζ110000000000000000000000000000

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