Finite Group Databasebeta

← Group #11922365

Character table — Group #11922365

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111111122222222333333336666666666668888888812121212121212121212121212121212161616161616161618181818181818181818181824242424242424242424242436363636
order1222444436661212121244444444224488888888366612121212444466121224242424242424243666121212124444888888881212121212121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111
χ71111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111
χ81111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ91-1-1111-1-111-1-111-1-1ii−i−iii−i−i1-1-11ii−i−iii−i−i11-1-111-1-1i−ii−i1-11-1ii−i−iii−i−i1-1-1111-1-1i−ii−i11-1-111-1-1i−ii−iii−i−iii−i−i1-11-1
χ101-1-1111-1-111-1-111-1-1ii−i−iii−i−i1-1-11−i−iii−i−iii11-1-111-1-1−ii−ii1-11-1−i−iii−i−iii1-1-1111-1-1i−ii−i-1-111-1-111−ii−iiii−i−iii−i−i-11-11
χ111-1-1111-1-111-1-111-1-1−i−iii−i−iii1-1-11ii−i−iii−i−i11-1-111-1-1i−ii−i1-11-1ii−i−iii−i−i1-1-1111-1-1−ii−ii-1-111-1-111i−ii−i−i−iii−i−iii-11-11
χ121-1-1111-1-111-1-111-1-1−i−iii−i−iii1-1-11−i−iii−i−iii11-1-111-1-1−ii−ii1-11-1−i−iii−i−iii1-1-1111-1-1−ii−ii11-1-111-1-1−ii−ii−i−iii−i−iii1-11-1
χ131-1-11-1-11111-1-1-1-111ii−i−i−i−iii-11-11ii−i−i−i−iii11-1-1-1-111i−i−ii-111-1ii−i−i−i−iii1-1-11-1-111i−i−ii11-1-1-1-111i−i−iiii−i−i−i−iii1-1-11
χ141-1-11-1-11111-1-1-1-111ii−i−i−i−iii-11-11−i−iiiii−i−i11-1-1-1-111−iii−i-111-1−i−iiiii−i−i1-1-11-1-111i−i−ii-1-11111-1-1−iii−iii−i−i−i−iii-111-1
χ151-1-11-1-11111-1-1-1-111−i−iiiii−i−i-11-11ii−i−i−i−iii11-1-1-1-111i−i−ii-111-1ii−i−i−i−iii1-1-11-1-111−iii−i-1-11111-1-1i−i−ii−i−iiiii−i−i-111-1
χ161-1-11-1-11111-1-1-1-111−i−iiiii−i−i-11-11−i−iiiii−i−i11-1-1-1-111−iii−i-111-1−i−iiiii−i−i1-1-11-1-111−iii−i11-1-1-1-111−iii−i−i−iiiii−i−i1-1-11
χ17222222222222222222222222222200000000-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-12222000000000000-1-1-1-1-1-1-1-10000
χ182222222222222222-2-2-2-2-2-2-2-2222200000000-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-2-2-2-2000000000000111111110000
χ1922222222-1-1-1-1-1-1-1-100000000222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1000000000000
χ2022222222-1-1-1-1-1-1-1-1000000002222-2-2-2-2-2-2-2-222222222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-10000000000001111000000000000
χ212222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-22200000000-1-1-1-111110000-2-22200000000-1-1-1-1111122-2-2000000000000-1-1-1-111110000
χ222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-22200000000-1-1-1-111110000-2-22200000000-1-1-1-11111-2-2220000000000001111-1-1-1-10000
χ232222-2-2-2-2-1-1-1-1111100000000-2-2222222-2-2-2-22222-2-2-2-222-2-211-1-1-1-1-1-11111-1-1-1-11111000000000000-1-111000000000000
χ242222-2-2-2-2-1-1-1-1111100000000-2-222-2-2-2-222222222-2-2-2-2-2-22211-1-11111-1-1-1-1-1-1-1-1111100000000000011-1-1000000000000
χ2522-2-22i−2i2i−2i2-22-22i−2i2i−2i2-22-22i−2i2i−2i0000i2−i2i2−i22−22−2-111-1i−ii−i00000000i2−i2i2−i22−22−2-11-11i−ii−i0000i2−i2i2−i22−22−200001-11-1i−ii−i0000
χ2622-2-22i−2i2i−2i2-22-22i−2i2i−2i2-22-22i−2i2i−2i0000−i2i2−i2i2−22−22-111-1i−ii−i00000000−i2i2−i2i2−22−22-11-11i−ii−i0000−i2i2−i2i2−22−2200001-11-1i−ii−i0000
χ2722-2-22i−2i2i−2i2-22-22i−2i2i−2i-22-22−2i2i−2i2i0000i2−i2i2−i22−22−2-111-1i−ii−i00000000i2−i2i2−i22−22−2-11-11i−ii−i0000−i2i2−i2i2−22−220000-11-11−ii−ii0000
χ2822-2-22i−2i2i−2i2-22-22i−2i2i−2i-22-22−2i2i−2i2i0000−i2i2−i2i2−22−22-111-1i−ii−i00000000−i2i2−i2i2−22−22-11-11i−ii−i0000i2−i2i2−i22−22−20000-11-11−ii−ii0000
χ2922-2-2−2i2i−2i2i2-22-2−2i2i−2i2i2-22-2−2i2i−2i2i0000i2−i2i2−i2−22−22-111-1−ii−ii00000000i2−i2i2−i2−22−22-11-11−ii−ii0000i2−i2i2−i2−22−2200001-11-1−ii−ii0000
χ3022-2-2−2i2i−2i2i2-22-2−2i2i−2i2i2-22-2−2i2i−2i2i0000−i2i2−i2i22−22−2-111-1−ii−ii00000000−i2i2−i2i22−22−2-11-11−ii−ii0000−i2i2−i2i22−22−200001-11-1−ii−ii0000
χ3122-2-2−2i2i−2i2i2-22-2−2i2i−2i2i-22-222i−2i2i−2i0000i2−i2i2−i2−22−22-111-1−ii−ii00000000i2−i2i2−i2−22−22-11-11−ii−ii0000−i2i2−i2i22−22−20000-11-11i−ii−i0000
χ3222-2-2−2i2i−2i2i2-22-2−2i2i−2i2i-22-222i−2i2i−2i0000−i2i2−i2i22−22−2-111-1−ii−ii00000000−i2i2−i2i22−22−2-11-11−ii−ii0000i2−i2i2−i2−22−220000-11-11i−ii−i0000
χ332-22-22i−2i−2i2i2-2-222i−2i−2i2i2i−2i−2i2i-222-200002−2−22−i2i2i2−i2-11-11i−i−ii000000002−2−22−i2i2i2−i2-1-111i−i−ii0000−i2i2i2−i2−222−20000i−i−ii-111-10000
χ342-22-22i−2i−2i2i2-2-222i−2i−2i2i2i−2i−2i2i-222-20000−222−2i2−i2−i2i2-11-11i−i−ii00000000−222−2i2−i2−i2i2-1-111i−i−ii0000i2−i2−i2i22−2−220000i−i−ii-111-10000
χ352-22-22i−2i−2i2i2-2-222i−2i−2i2i−2i2i2i−2i2-2-2200002−2−22−i2i2i2−i2-11-11i−i−ii000000002−2−22−i2i2i2−i2-1-111i−i−ii0000i2−i2−i2i22−2−220000−iii−i1-1-110000
χ362-22-22i−2i−2i2i2-2-222i−2i−2i2i−2i2i2i−2i2-2-220000−222−2i2−i2−i2i2-11-11i−i−ii00000000−222−2i2−i2−i2i2-1-111i−i−ii0000−i2i2i2−i2−222−20000−iii−i1-1-110000
χ372-22-2−2i2i2i−2i2-2-22−2i2i2i−2i2i−2i−2i2i2-2-2200002−2−22i2−i2−i2i2-11-11−iii−i000000002−2−22i2−i2−i2i2-1-111−iii−i0000−i2i2i2−i22−2−220000i−i−ii1-1-110000
χ382-22-2−2i2i2i−2i2-2-22−2i2i2i−2i2i−2i−2i2i2-2-220000−222−2−i2i2i2−i2-11-11−iii−i00000000−222−2−i2i2i2−i2-1-111−iii−i0000i2−i2−i2i2−222−20000i−i−ii1-1-110000
χ392-22-2−2i2i2i−2i2-2-22−2i2i2i−2i−2i2i2i−2i-222-200002−2−22i2−i2−i2i2-11-11−iii−i000000002−2−22i2−i2−i2i2-1-111−iii−i0000i2−i2−i2i2−222−20000−iii−i-111-10000
χ402-22-2−2i2i2i−2i2-2-22−2i2i2i−2i−2i2i2i−2i-222-20000−222−2−i2i2i2−i2-11-11−iii−i00000000−222−2−i2i2i2−i2-1-111−iii−i0000−i2i2i2−i22−2−220000−iii−i-111-10000
χ412-2-2222-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2-2-2200000000-1-111-1-11100002-22-200000000-111-1-1-1112i−2i2i−2i000000000000−i−iii−i−iii0000
χ422-2-2222-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-2-2200000000-1-111-1-11100002-22-200000000-111-1-1-111−2i2i−2i2i000000000000ii−i−iii−i−i0000
χ432-2-2222-2-2-1-111-1-111000000002-2-222i2i−2i−2i2i2i−2i−2i22-2-222-2-22i−2i2i−2i-11-11−i−iii−i−iii-111-1-1-111000000000000−ii−ii000000000000
χ442-2-2222-2-2-1-111-1-111000000002-2-22−2i−2i2i2i−2i−2i2i2i22-2-222-2-2−2i2i−2i2i-11-11ii−i−iii−i−i-111-1-1-111000000000000i−ii−i000000000000
χ452-2-22-2-22222-2-2-2-2222i2i−2i−2i−2i−2i2i2i-22-2200000000-1-11111-1-10000-222-200000000-111-111-1-12i−2i−2i2i000000000000−i−iiiii−i−i0000
χ462-2-22-2-22222-2-2-2-222−2i−2i2i2i2i2i−2i−2i-22-2200000000-1-11111-1-10000-222-200000000-111-111-1-1−2i2i2i−2i000000000000ii−i−i−i−iii0000
χ472-2-22-2-222-1-11111-1-100000000-22-222i2i−2i−2i−2i−2i2i2i22-2-2-2-2222i−2i−2i2i1-1-11−i−iiiii−i−i-111-111-1-1000000000000−iii−i000000000000
χ482-2-22-2-222-1-11111-1-100000000-22-22−2i−2i2i2i2i2i−2i−2i22-2-2-2-222−2i2i2i−2i1-1-11ii−i−i−i−iii-111-111-1-1000000000000i−i−ii000000000000
χ49333333333333333333333333-1-1-1-11111111100000000-1-1-1-1-1-1-1-11111111100000000-1-1-1-111111111-1-1-1-100000000-1-1-1-1
χ50333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1000000001111-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-11111000000001111
χ513333333333333333-3-3-3-3-3-3-3-3-1-1-1-11111111100000000-1-1-1-1-1-1-1-111111111000000001111-1-1-1-1-1-1-1-1-1-1-1-1000000001111
χ523333333333333333-3-3-3-3-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1000000001111-1-1-1-1-1-1-1-1-1-1-1-100000000111111111111111100000000-1-1-1-1
χ533333-3-3-3-33333-3-3-3-33333-3-3-3-311-1-11111-1-1-1-100000000-1-11111-1-11111-1-1-1-100000000-1-1111111-1-1-1-1-1-11100000000-1-111
χ543333-3-3-3-33333-3-3-3-33333-3-3-3-311-1-1-1-1-1-111110000000011-1-111-1-1-1-1-1-1111100000000-1-111-1-1-1-1111111-1-10000000011-1-1
χ553333-3-3-3-33333-3-3-3-3-3-3-3-3333311-1-11111-1-1-1-100000000-1-11111-1-11111-1-1-1-10000000011-1-1-1-1-1-11111-1-1110000000011-1-1
χ563333-3-3-3-33333-3-3-3-3-3-3-3-3333311-1-1-1-1-1-111110000000011-1-111-1-1-1-1-1-111110000000011-1-11111-1-1-1-111-1-100000000-1-111
χ573-3-3333-3-333-3-333-3-33i3i−3i−3i3i3i−3i−3i-111-1ii−i−iii−i−i00000000−ii−ii-11-11ii−i−iii−i−i00000000−ii−ii11-1-111-1-1−ii−ii00000000-11-11
χ583-3-3333-3-333-3-333-3-33i3i−3i−3i3i3i−3i−3i-111-1−i−iii−i−iii00000000i−ii−i-11-11−i−iii−i−iii00000000−ii−ii-1-111-1-111i−ii−i000000001-11-1
χ593-3-3333-3-333-3-333-3-3−3i−3i3i3i−3i−3i3i3i-111-1ii−i−iii−i−i00000000−ii−ii-11-11ii−i−iii−i−i00000000i−ii−i-1-111-1-111−ii−ii000000001-11-1
χ603-3-3333-3-333-3-333-3-3−3i−3i3i3i−3i−3i3i3i-111-1−i−iii−i−iii00000000i−ii−i-11-11−i−iii−i−iii00000000i−ii−i11-1-111-1-1i−ii−i00000000-11-11
χ613-3-33-3-33333-3-3-3-3333i3i−3i−3i−3i−3i3i3i1-11-1ii−i−i−i−iii00000000−iii−i1-1-11ii−i−i−i−iii00000000−iii−i11-1-1-1-111−iii−i00000000-111-1
χ623-3-33-3-33333-3-3-3-3333i3i−3i−3i−3i−3i3i3i1-11-1−i−iiiii−i−i00000000i−i−ii1-1-11−i−iiiii−i−i00000000−iii−i-1-11111-1-1i−i−ii000000001-1-11
χ633-3-33-3-33333-3-3-3-333−3i−3i3i3i3i3i−3i−3i1-11-1ii−i−i−i−iii00000000−iii−i1-1-11ii−i−i−i−iii00000000i−i−ii-1-11111-1-1−iii−i000000001-1-11
χ643-3-33-3-33333-3-3-3-333−3i−3i3i3i3i3i−3i−3i1-11-1−i−iiiii−i−i00000000i−i−ii1-1-11−i−iiiii−i−i00000000i−i−ii11-1-1-1-111i−i−ii00000000-111-1
χ6544444444-2-2-2-2-2-2-2-200000000444400000000-2-2-2-2-2-2-2-20000-2-2-2-200000000111111110000000000000000000000000000
χ664444-4-4-4-4-2-2-2-2222200000000-4-44400000000-2-2-2-22222000022-2-2000000001111-1-1-1-10000000000000000000000000000
χ6744-4-44i−4i4i−4i4-44-44i−4i4i−4i4-44-44i−4i4i−4i0000000000001-1-11−ii−ii00000000000000001-11-1−ii−ii0000000000000000-11-11−ii−ii0000
χ6844-4-44i−4i4i−4i4-44-44i−4i4i−4i-44-44−4i4i−4i4i0000000000001-1-11−ii−ii00000000000000001-11-1−ii−ii00000000000000001-11-1i−ii−i0000
χ6944-4-44i−4i4i−4i-22-22−2i2i−2i2i0000000000002i2−2i22i2−2i222−2222−22-222-22i−2i2i−2i00000000−i2i2−i2i2−22−221-11-1−ii−ii0000000000000000000000000000
χ7044-4-44i−4i4i−4i-22-22−2i2i−2i2i000000000000−2i22i2−2i22i2−2222−2222-222-22i−2i2i−2i00000000i2−i2i2−i22−22−21-11-1−ii−ii0000000000000000000000000000
χ7144-4-4−4i4i−4i4i4-44-4−4i4i−4i4i4-44-4−4i4i−4i4i0000000000001-1-11i−ii−i00000000000000001-11-1i−ii−i0000000000000000-11-11i−ii−i0000
χ7244-4-4−4i4i−4i4i4-44-4−4i4i−4i4i-44-444i−4i4i−4i0000000000001-1-11i−ii−i00000000000000001-11-1i−ii−i00000000000000001-11-1−ii−ii0000
χ7344-4-4−4i4i−4i4i-22-222i−2i2i−2i0000000000002i2−2i22i2−2i2−2222−2222-222-2−2i2i−2i2i00000000−i2i2−i2i22−22−21-11-1i−ii−i0000000000000000000000000000
χ7444-4-4−4i4i−4i4i-22-222i−2i2i−2i000000000000−2i22i2−2i22i222−2222−22-222-2−2i2i−2i2i00000000i2−i2i2−i2−22−221-11-1i−ii−i0000000000000000000000000000
χ754-44-44i−4i−4i4i4-4-444i−4i−4i4i4i−4i−4i4i-444-40000000000001-11-1−iii−i000000000000000011-1-1−iii−i0000000000000000−iii−i1-1-110000
χ764-44-44i−4i−4i4i4-4-444i−4i−4i4i−4i4i4i−4i4-4-440000000000001-11-1−iii−i000000000000000011-1-1−iii−i0000000000000000i−i−ii-111-10000
χ774-44-44i−4i−4i4i-222-2−2i2i2i−2i00000000000022−22−2222−2i22i22i2−2i2-22-222i−2i−2i2i00000000−222−2i2−i2−i2i211-1-1−iii−i0000000000000000000000000000
χ784-44-44i−4i−4i4i-222-2−2i2i2i−2i000000000000−222222−222i2−2i2−2i22i2-22-222i−2i−2i2i000000002−2−22−i2i2i2−i211-1-1−iii−i0000000000000000000000000000
χ794-44-4−4i4i4i−4i4-4-44−4i4i4i−4i4i−4i−4i4i4-4-440000000000001-11-1i−i−ii000000000000000011-1-1i−i−ii0000000000000000−iii−i-111-10000
χ804-44-4−4i4i4i−4i4-4-44−4i4i4i−4i−4i4i4i−4i-444-40000000000001-11-1i−i−ii000000000000000011-1-1i−i−ii0000000000000000i−i−ii1-1-110000
χ814-44-4−4i4i4i−4i-222-22i−2i−2i2i00000000000022−22−22222i2−2i2−2i22i2-22-22−2i2i2i−2i00000000−222−2−i2i2i2−i211-1-1i−i−ii0000000000000000000000000000
χ824-44-4−4i4i4i−4i-222-22i−2i−2i2i000000000000−222222−22−2i22i22i2−2i2-22-22−2i2i2i−2i000000002−2−22i2−i2−i2i211-1-1i−i−ii0000000000000000000000000000
χ834-4-4444-4-4-2-222-2-222000000004-4-4400000000-2-222-2-2220000-22-22000000001-1-1111-1-10000000000000000000000000000
χ844-4-44-4-444-2-22222-2-200000000-44-4400000000-2-22222-2-200002-2-22000000001-1-11-1-1110000000000000000000000000000
χ8566666666-3-3-3-3-3-3-3-300000000-2-2-2-22222222200000000-2-2-2-21111-1-1-1-1-1-1-1-1000000000000000000001111000000000000
χ8666666666-3-3-3-3-3-3-3-300000000-2-2-2-2-2-2-2-2-2-2-2-200000000222211111111111100000000000000000000-1-1-1-1000000000000
χ876666-6-6-6-6-3-3-3-333330000000022-2-22222-2-2-2-200000000-2-222-1-111-1-1-1-111110000000000000000000011-1-1000000000000
χ886666-6-6-6-6-3-3-3-333330000000022-2-2-2-2-2-222220000000022-2-2-1-1111111-1-1-1-100000000000000000000-1-111000000000000
χ896-6-6666-6-6-3-333-3-33300000000-222-22i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i1-11-1−i−iii−i−iii00000000000000000000i−ii−i000000000000
χ906-6-6666-6-6-3-333-3-33300000000-222-2−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i1-11-1ii−i−iii−i−i00000000000000000000−ii−ii000000000000
χ916-6-66-6-666-3-33333-3-3000000002-22-22i2i−2i−2i−2i−2i2i2i00000000−2i2i2i−2i-111-1−i−iiiii−i−i00000000000000000000i−i−ii000000000000
χ926-6-66-6-666-3-33333-3-3000000002-22-2−2i−2i2i2i2i2i−2i−2i000000002i−2i−2i2i-111-1ii−i−i−i−iii00000000000000000000−iii−i000000000000
χ9388-8-88i−8i8i−8i-44-44−4i4i−4i4i000000000000000000002-2-22−2i2i−2i2i0000000000000000-11-11i−ii−i0000000000000000000000000000
χ9488-8-8−8i8i−8i8i-44-444i−4i4i−4i000000000000000000002-2-222i−2i2i−2i0000000000000000-11-11−ii−ii0000000000000000000000000000
χ958-88-88i−8i−8i8i-444-4−4i4i4i−4i000000000000000000002-22-2−2i2i2i−2i0000000000000000-1-111i−i−ii0000000000000000000000000000
χ968-88-8−8i8i8i−8i-444-44i−4i−4i4i000000000000000000002-22-22i−2i−2i2i0000000000000000-1-111−iii−i0000000000000000000000000000

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