Finite Group Databasebeta

← Group #11865175

Character table — Group #11865175

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222224444444444444444444444444466666688888888888888888888812121212121212121212121212121212121212121224242424242448484872727272
order1223344662234444666666612121212121212121212121222441212666666612121212121212121212121212122222446666666666121212121224881212624242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-111-1-1-1111-1-1111111-1-1-1-1-1-1111111111-1111-1-11-1-1-11111-1-1-1-1-1-11-1-1-11-11111-1-1-1-1-1-1111-1-11-11-1-1-111-11-11-1
χ61111111111-111-1-1-1111-1-1111111-1-1-1-1-1-1111111111-1111-1-11-1-1-11111-1-1-1-1-1-11-1-1-11-11111-1-1-1-1-1-1111-1-1-11-1111-1-11-11-11
χ71111111111-111-1-1-1111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-1111-1-11-1-1-11111-1-1-1-1-1-1-1111-11-1-1-1-1111111-1-1-1111-11-1-1-111-1-11-11
χ81111111111-111-1-1-1111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-1111-1-11-1-1-11111-1-1-1-1-1-1-1111-11-1-1-1-1111111-1-1-111-11-1111-1-111-11-1
χ9111111111-111-11-1-11-1-1111111-1-111-1-1-1-111111111-111-1-111-11-1-111-1-111-1-1-1-1-11-1-1-1111-1-111-1-1-1-11-1-1111-1-11-1-11-111-1-11
χ10111111111-111-11-1-11-1-1111111-1-111-1-1-1-111111111-111-1-111-11-1-111-1-111-1-1-1-1-11-1-1-1111-1-111-1-1-1-11-1-111-111-111-11-1-111-1
χ11111111111-111-11-1-11-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-111-1-111-11-1-111-1-111-1-1-1-11-1111-1-1-111-1-11111-111-1-11-1-11-1-11-11-111-1
χ12111111111-111-11-1-11-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-111-1-111-11-1-111-1-111-1-1-1-11-1111-1-1-111-1-11111-111-1-1-111-111-11-11-1-11
χ13111111111-1-11-1-1111-1-1-1-11111-1-1-1-1111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111111-1-1-1-111-1-1111-1-111-1-1
χ14111111111-1-11-1-1111-1-1-1-11111-1-1-1-1111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-111-1-111
χ15111111111-1-11-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1111111-1-1111-1-1-1-111
χ16111111111-1-11-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-11111-1-111-1-1-11111-1-1
χ1722222-2-222002002-22000022-2-2000022-2-2-2-222-2-2-2-20020000002-2-2-2000022-2-2002-20022000022-2-2-200000000000000000
χ1822222-2-222002002-22000022-2-2000022-2-2-2-2-2-222220020000002-2-2-2000022-2-200-2200-2-20000-2-222200000000000000000
χ1922222-2-22200200-222000022-2-20000-2-222-2-222-2-2-2-2002000000-22-2-20000-2-22200-2200220000-2-222-200000000000000000
χ2022222-2-22200200-222000022-2-20000-2-222-2-2-2-22222002000000-22-2-20000-2-222002-200-2-2000022-2-2200000000000000000
χ212222-1222-122-12222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000
χ222222-1222-122-12222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-122-2-2-2-21122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111110000000000000
χ232222-1222-12-2-12-2-2-2-1-1-1112-1-1-1-1-1111111222222-1-12-2-1-1-1112-2-2-2-1-1-1-11111112-2-2-22-2-1-1-1-1111111-1-1-1110000000000000
χ242222-1222-12-2-12-2-2-2-1-1-1112-1-1-1-1-111111122-2-2-2-2112-2-1-1-1112-2-2-2-1-1-1-1111111-2222-221111-1-1-1-1-1-1111-1-10000000000000
χ252222-1222-1-22-1-22-2-2-111-1-12-1-1-111-1-11111222222-1-1-22-111-1-1-22-2-2-1-111-1-11111-22-2-2-22-1-111-1-11111-111-1-10000000000000
χ262222-1222-1-22-1-22-2-2-111-1-12-1-1-111-1-1111122-2-2-2-211-22-111-1-1-22-2-2-1-111-1-111112-2222-211-1-111-1-1-1-11-1-1110000000000000
χ272222-1222-1-2-2-1-2-222-111112-1-1-11111-1-1-1-1222222-1-1-2-2-11111-2-222-1-11111-1-1-1-1-2-222-2-2-1-11111-1-1-1-1-111110000000000000
χ282222-1222-1-2-2-1-2-222-111112-1-1-11111-1-1-1-122-2-2-2-211-2-2-11111-2-222-1-11111-1-1-1-122-2-22211-1-1-1-111111-1-1-1-10000000000000
χ292222-1-2-22-100-1002-2-1−i3i3−i3i32-111−i3i3−i3i3-1-111-2-222-2-21100-1−i3i3−i3i3002-211−i3i3−i3i3-1-111002-200-1-1−i3i3−i3i3-1-1111−i3i3−i3i30000000000000
χ302222-1-2-22-100-1002-2-1−i3i3−i3i32-111−i3i3−i3i3-1-111-2-2-2-222-1-100-1−i3i3−i3i3002-211−i3i3−i3i3-1-11100-220011i3−i3i3−i311-1-1-1i3−i3i3−i30000000000000
χ312222-1-2-22-100-1002-2-1i3−i3i3−i32-111i3−i3i3−i3-1-111-2-222-2-21100-1i3−i3i3−i3002-211i3−i3i3−i3-1-111002-200-1-1i3−i3i3−i3-1-1111i3−i3i3−i30000000000000
χ322222-1-2-22-100-1002-2-1i3−i3i3−i32-111i3−i3i3−i3-1-111-2-2-2-222-1-100-1i3−i3i3−i3002-211i3−i3i3−i3-1-11100-220011−i3i3−i3i311-1-1-1−i3i3−i3i30000000000000
χ332222-1-2-22-100-100-22-1−i3i3i3−i32-111−i3i3i3−i311-1-1-2-222-2-21100-1−i3i3i3−i300-2211−i3i3i3−i311-1-100-2200-1-1−i3i3i3−i311-1-11−i3i3i3−i30000000000000
χ342222-1-2-22-100-100-22-1−i3i3i3−i32-111−i3i3i3−i311-1-1-2-2-2-222-1-100-1−i3i3i3−i300-2211−i3i3i3−i311-1-1002-20011i3−i3−i3i3-1-111-1i3−i3−i3i30000000000000
χ352222-1-2-22-100-100-22-1i3−i3−i3i32-111i3−i3−i3i311-1-1-2-222-2-21100-1i3−i3−i3i300-2211i3−i3−i3i311-1-100-2200-1-1i3−i3−i3i311-1-11i3−i3−i3i30000000000000
χ362222-1-2-22-100-100-22-1i3−i3−i3i32-111i3−i3−i3i311-1-1-2-2-2-222-1-100-1i3−i3−i3i300-2211i3−i3−i3i311-1-1002-20011−i3i3i3−i3-1-111-1−i3i3i3−i30000000000000
χ37222-1222-1222-1222222222-1-12222222222-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000002222-1-1-1-1-10000
χ38222-1222-1222-1222222222-1-12222222222-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000-2-2-2-2111110000
χ39222-1222-122-2-12-2-2-2222-2-2-1-12222-2-2-2-2-2-2-1-1000000-11-1-1-111-1111-1-1-1-11111110000000000000000000002-22-211-1-110000
χ40222-1222-122-2-12-2-2-2222-2-2-1-12222-2-2-2-2-2-2-1-1000000-11-1-1-111-1111-1-1-1-1111111000000000000000000000-22-22-1-111-10000
χ41222-1222-12-22-1-22-2-22-2-222-1-122-2-222-2-2-2-2-1-10000001-1-111-1-11-111-1-111-1-111110000000000000000000002-2-2211-11-10000
χ42222-1222-12-22-1-22-2-22-2-222-1-122-2-222-2-2-2-2-1-10000001-1-111-1-11-111-1-111-1-11111000000000000000000000-222-2-1-11-110000
χ43222-1222-12-2-2-1-2-2222-2-2-2-2-1-122-2-2-2-22222-1-100000011-1111111-1-1-1-11111-1-1-1-100000000000000000000022-2-2-1-1-1110000
χ44222-1222-12-2-2-1-2-2222-2-2-2-2-1-122-2-2-2-22222-1-100000011-1111111-1-1-1-11111-1-1-1-1000000000000000000000-2-222111-1-10000
χ4522-2222-2220220-200-20022-222-200-2-200002-22-22-22202-200220-2002-200-2-200000-200022-200-2-20000-200220000000000000
χ4622-2222-2220220-200-20022-222-200-2-200002-2-22-22-2-202-200220-2002-200-2-2000002000-2-2200220000200-2-20000000000000
χ4722-2222-2220-220200-200-2-2-222-2002200002-22-22-2220-2-200-2-202002-20022000002000-22-200220000-200-2-20000000000000
χ4822-2222-2220-220200-200-2-2-222-2002200002-2-22-22-2-20-2-200-2-202002-2002200000-20002-2200-2-20000200220000000000000
χ4922-222-2222202-2000-22200-22-22-2-2000000-222-2-22-2-220-22200-2000-22-2-20000002000-202-2220000002-2-2000000000000000
χ5022-222-2222202-2000-22200-22-22-2-2000000-22-222-22220-22200-2000-22-2-2000000-200020-22-2-2000000-222000000000000000
χ5122-222-2222-2022000-2-2-200-22-2222000000-222-2-22-2-2-20-2-2-2002000-2222000000-2000202-2-2-2000000222000000000000000
χ5222-222-2222-2022000-2-2-200-22-2222000000-22-222-222-20-2-2-2002000-22220000002000-20-2222000000-2-2-2000000000000000
χ5322-22-12-22-102-10-2001−i3i3-1-1-2-1-11i3−i311−i3i3−i3i32-22-22-2-1-1021−i3i3-1-10-200-11i3−i311−i3i3−i3i30-20002-11−i3i311−i3i3−i3i31i3−i3-1-10000000000000
χ5422-22-12-22-102-10-2001−i3i3-1-1-2-1-11i3−i311−i3i3−i3i32-2-22-2211021−i3i3-1-10-200-11i3−i311−i3i3−i3i302000-21-1i3−i3-1-1i3−i3i3−i3-1−i3i3110000000000000
χ5522-22-12-22-102-10-2001i3−i3-1-1-2-1-11−i3i311i3−i3i3−i32-22-22-2-1-1021i3−i3-1-10-200-11−i3i311i3−i3i3−i30-20002-11i3−i311i3−i3i3−i31−i3i3-1-10000000000000
χ5622-22-12-22-102-10-2001i3−i3-1-1-2-1-11−i3i311i3−i3i3−i32-2-22-2211021i3−i3-1-10-200-11−i3i311i3−i3i3−i302000-21-1−i3i3-1-1−i3i3−i3i3-1i3−i3110000000000000
χ5722-22-12-22-10-2-102001−i3i311-2-1-11i3−i3-1-1i3−i3i3−i32-22-22-2-1-10-21−i3i3110200-11i3−i3-1-1i3−i3i3−i302000-2-11−i3i3-1-1i3−i3i3−i31i3−i3110000000000000
χ5822-22-12-22-10-2-102001−i3i311-2-1-11i3−i3-1-1i3−i3i3−i32-2-22-22110-21−i3i3110200-11i3−i3-1-1i3−i3i3−i30-200021-1i3−i311−i3i3−i3i3-1−i3i3-1-10000000000000
χ5922-22-12-22-10-2-102001i3−i311-2-1-11−i3i3-1-1−i3i3−i3i32-22-22-2-1-10-21i3−i3110200-11−i3i3-1-1−i3i3−i3i302000-2-11i3−i3-1-1−i3i3−i3i31−i3i3110000000000000
χ6022-22-12-22-10-2-102001i3−i311-2-1-11−i3i3-1-1−i3i3−i3i32-2-22-22110-21i3−i3110200-11−i3i3-1-1−i3i3−i3i30-200021-1−i3i311i3−i3i3−i3-1i3−i3-1-10000000000000
χ6122-22-1-222-120-1-20001-1-1−i3i3-2-11-111i3−i3−i3i3i3−i3-222-2-2211201-1-1−i3i3-20001-111i3−i3−i3i3i3−i32000-20-11-1-1i3−i3−i3i3i3−i3-111−i3i30000000000000
χ6222-22-1-222-120-1-20001-1-1−i3i3-2-11-111i3−i3−i3i3i3−i3-22-222-2-1-1201-1-1−i3i3-20001-111i3−i3−i3i3i3−i3-2000201-111−i3i3i3−i3−i3i31-1-1i3−i30000000000000
χ6322-22-1-222-120-1-20001-1-1i3−i3-2-11-111−i3i3i3−i3−i3i3-222-2-2211201-1-1i3−i3-20001-111−i3i3i3−i3−i3i32000-20-11-1-1−i3i3i3−i3−i3i3-111i3−i30000000000000
χ6422-22-1-222-120-1-20001-1-1i3−i3-2-11-111−i3i3i3−i3−i3i3-22-222-2-1-1201-1-1i3−i3-20001-111−i3i3i3−i3−i3i3-2000201-111i3−i3−i3i3i3−i31-1-1−i3i30000000000000
χ6522-22-1-222-1-20-12000111−i3i3-2-11-1-1-1i3−i3i3−i3−i3i3-222-2-2211-20111−i3i320001-1-1-1i3−i3i3−i3−i3i3-200020-1111i3−i3i3−i3−i3i3-1-1-1−i3i30000000000000
χ6622-22-1-222-1-20-12000111−i3i3-2-11-1-1-1i3−i3i3−i3−i3i3-22-222-2-1-1-20111−i3i320001-1-1-1i3−i3i3−i3−i3i32000-201-1-1-1−i3i3−i3i3i3−i3111i3−i30000000000000
χ6722-22-1-222-1-20-12000111i3−i3-2-11-1-1-1−i3i3−i3i3i3−i3-222-2-2211-20111i3−i320001-1-1-1−i3i3−i3i3i3−i3-200020-1111−i3i3−i3i3i3−i3-1-1-1i3−i30000000000000
χ6822-22-1-222-1-20-12000111i3−i3-2-11-1-1-1−i3i3−i3i3i3−i3-22-222-2-1-1-20111i3−i320001-1-1-1−i3i3−i3i3i3−i32000-201-1-1-1i3−i3i3−i3−i3i3111−i3i30000000000000
χ69444-24-4-4-2400-2004-440000-2-2-4-4000044-4-42200000000-2000000-22220000-2-2220000000000000000000000000000000000
χ70444-24-4-4-2400-200-4440000-2-2-4-40000-4-4442200000000-20000002-222000022-2-20000000000000000000000000000000000
χ71444-2-244-2-24414444-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2000000-2-211111-2-2-2-211111111110000000000000000000000000000000000
χ72444-2-244-2-24-414-4-4-4-2-2-222-21-2-2-2-2222222-2-2000000-22111-1-1-22221111-1-1-1-1-1-10000000000000000000000000000000000
χ73444-2-244-2-2-441-44-4-4-222-2-2-21-2-222-2-22222-2-20000002-21-1-1112-22211-1-111-1-1-1-10000000000000000000000000000000000
χ74444-2-244-2-2-4-41-4-444-22222-21-2-22222-2-2-2-2-2-2000000221-1-1-1-122-2-211-1-1-1-111110000000000000000000000000000000000
χ75444-2-2-4-4-2-2001004-4-2−2i32i3−2i32i3-2122−2i32i3−2i32i3-2-22222000000001i3−i3i3−i300-22-1-1i3−i3i3−i311-1-10000000000000000000000000000000000
χ76444-2-2-4-4-2-2001004-4-22i3−2i32i3−2i3-21222i3−2i32i3−2i3-2-22222000000001−i3i3−i3i300-22-1-1−i3i3−i3i311-1-10000000000000000000000000000000000
χ77444-2-2-4-4-2-200100-44-2−2i32i32i3−2i3-2122−2i32i32i3−2i322-2-222000000001i3−i3−i3i3002-2-1-1i3−i3−i3i3-1-1110000000000000000000000000000000000
χ78444-2-2-4-4-2-200100-44-22i3−2i3−2i32i3-21222i3−2i3−2i32i322-2-222000000001−i3i3i3−i3002-2-1-1−i3i3i3−i3-1-1110000000000000000000000000000000000
χ7944-4-244-4-2404-20-400-400442-24-400-4-40000-220000000-2200-2-20200-22002200000000000000000000000000000000000000
χ8044-4-244-4-240-4-20400-400-4-42-24-400440000-2200000002200220-200-2200-2-200000000000000000000000000000000000000
χ8144-4-24-44-2440-2-4000-444002-2-44-4-40000002-2000000-202-2-20020002-2220000000000000000000000000000000000000000
χ8244-4-24-44-24-40-24000-4-4-4002-2-44440000002-20000002022200-20002-2-2-20000000000000000000000000000000000000000
χ8344-4-2-24-4-2-20410-4002−2i32i3-2-221-222i3−2i322−2i32i3−2i32i3-220000000-2-1i3−i31102001-1−i3i3-1-1i3−i3i3−i30000000000000000000000000000000000
χ8444-4-2-24-4-2-20410-40022i3−2i3-2-221-22−2i32i3222i3−2i32i3−2i3-220000000-2-1−i3i31102001-1i3−i3-1-1−i3i3−i3i30000000000000000000000000000000000
χ8544-4-2-24-4-2-20-4104002−2i32i32221-222i3−2i3-2-22i3−2i32i3−2i3-2200000002-1i3−i3-1-10-2001-1−i3i311−i3i3−i3i30000000000000000000000000000000000
χ8644-4-2-24-4-2-20-41040022i3−2i32221-22−2i32i3-2-2−2i32i3−2i32i3-2200000002-1−i3i3-1-10-2001-1i3−i311i3−i3i3−i30000000000000000000000000000000000
χ8744-4-2-2-44-2-2401-40002-2-2−2i32i3212-2222i3−2i3−2i32i32i3−2i32-2000000-20-111i3−i32000-11-1-1−i3i3i3−i3−i3i30000000000000000000000000000000000
χ8844-4-2-2-44-2-2401-40002-2-22i3−2i3212-222−2i32i32i3−2i3−2i32i32-2000000-20-111−i3i32000-11-1-1i3−i3−i3i3i3−i30000000000000000000000000000000000
χ8944-4-2-2-44-2-2-4014000222−2i32i3212-2-2-22i3−2i32i3−2i3−2i32i32-200000020-1-1-1i3−i3-2000-1111−i3i3−i3i3i3−i30000000000000000000000000000000000
χ9044-4-2-2-44-2-2-40140002222i3−2i3212-2-2-2−2i32i3−2i32i32i3−2i32-200000020-1-1-1−i3i3-2000-1111i3−i3i3−i3−i3i30000000000000000000000000000000000
χ918-808800-8-80080000000000-80000000000000000000000000000000000000000000000000000000000000000000000000
χ928-808-400-8400-400000000004000000000000000043−430000000000000000000000000000000000000000000000000000000
χ938-808-400-8400-4000000000040000000000000000−43430000000000000000000000000000000000000000000000000000000
χ948-80-48004-800-400000000004000000000000000000000000000000000000000000000000000000000000000023−230000000
χ958-80-48004-800-4000000000040000000000000000000000000000000000000000000000000000000000000000−23230000000
χ9616-160-8-800880040000000000-40000000000000000000000000000000000000000000000000000000000000000000000000

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