Finite Group Databasebeta

← Group #11865379

Character table — Group #11865379

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222224444444444444444444444444466666688888888888888888888812121212121212121212121212121212121212121224242424242448484872727272
order12222336622234446666666666666121212121212444412126666666666661212121212121212122224446666661212121212121212122444661212122444
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
χ51111111111-1-111-1-111111-1-1-1-1111111-1-1-1-11111111-1-111111-1-1-1-11-1-111-1-1-1-11-1-11-1-111-1-1-1-111111-1-1-1-111-1-1111-1-111-1-1
χ61111111111-1-111-1-111111-1-1-1-1111111-1-1-1-11111111-1-111111-1-1-1-11-1-111-1-1-1-11-1-11-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-111-1-111
χ71111111111-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11-1-111-1-1-1-1-111-111-1-11111-1-1-1-1-1111111-1-1111-1-1-1-111
χ81111111111-1-111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11-1-111-1-1-1-1-111-111-1-11111-1-1-1-1-11111-1-111-1-1-11111-1-1
χ9111111111-11-11-11-1111-1-111-1-11111-1-111-1-1111111-11-1111-1-111-1-1-11-1-1-111-1-1-11-1-11-1-1-111-1-1111-1-111-1-11-11-111-11-11-11-1
χ10111111111-11-11-11-1111-1-111-1-11111-1-111-1-1111111-11-1111-1-111-1-1-11-1-1-111-1-1-11-1-11-1-1-111-1-1111-1-111-1-1-11-11-1-11-11-11-11
χ11111111111-11-11-11-1111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-11-1-1-111-1-11-111-1111-1-111-1-1-111-1-1111-11-111-11-1-11-11
χ12111111111-11-11-11-1111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-11-1-1-111-1-11-111-1111-1-111-1-1-111-1-111-11-11-1-11-111-11-1
χ13111111111-1-111-1-11111-1-1-1-1111111-1-1-1-111111111-1-11111-1-1-1-111-1-11-1-1-1-111-1-11-1-11-1-1-1-111111-1-1-1-1111-1-1111-1-111-1-11
χ14111111111-1-111-1-11111-1-1-1-1111111-1-1-1-111111111-1-11111-1-1-1-111-1-11-1-1-1-111-1-11-1-11-1-1-1-111111-1-1-1-111-111-1-1-111-1-111-1
χ15111111111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-1-1-11111-111-11111-1-1-1-1-11111-1-11-1-1111-1-11-111-1
χ16111111111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-1-1-11111-111-11111-1-1-1-1-11111-1-1-111-1-1-111-11-1-11
χ17222222-12-1222-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12222-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000
χ18222222-12-1222-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-2-2-2-211222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-21111111111111110000000000000
χ19222222-12-12-2-2-12-2-2-1-1-1-1-11111222-1-1-111112222-1-12-2-2-1-1-1-1-111112-2-2-1-111112-2-22-2-2-1-11111-1-1-1-1-111110000000000000
χ20222222-12-12-2-2-12-2-2-1-1-1-1-11111222-1-1-11111-2-2-2-2112-2-2-1-1-1-1-111112-2-2-1-11111-222-22211-1-1-1-111111-1-1-1-10000000000000
χ21222222-12-1-22-2-1-22-2-1-1-111-1-111222-111-1-1112222-1-1-22-2-1-1-111-1-111-22-211-1-111-22-2-22-211-1-111-1-1-111-1-1110000000000000
χ22222222-12-1-22-2-1-22-2-1-1-111-1-111222-111-1-111-2-2-2-211-22-2-1-1-111-1-111-22-211-1-1112-222-22-1-111-1-1111-1-111-1-10000000000000
χ23222222-12-1-2-22-1-2-22-1-1-11111-1-1222-11111-1-12222-1-1-2-22-1-1-11111-1-1-2-221111-1-1-2-22-2-221111-1-1-1-1-11111-1-10000000000000
χ24222222-12-1-2-22-1-2-22-1-1-11111-1-1222-11111-1-1-2-2-2-211-2-22-1-1-11111-1-1-2-221111-1-122-222-2-1-1-1-111111-1-1-1-1110000000000000
χ2522222-12-12222-1222222222222-1-1-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000002222-1-1-1-1-10000
χ2622222-12-12222-1222222222222-1-1-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000-2-2-2-2111110000
χ2722222-12-122-2-2-12-2-222222-2-2-2-2-1-1-1-122-2-2-2-2000000-111-1-1-1-1-11111-111-1-1111100000000000000000000022-2-2-1-1-1110000
χ2822222-12-122-2-2-12-2-222222-2-2-2-2-1-1-1-122-2-2-2-2000000-111-1-1-1-1-11111-111-1-11111000000000000000000000-2-222111-1-10000
χ2922222-12-12-22-2-1-22-2222-2-222-2-2-1-1-1-1-2-222-2-20000001-11-1-1-111-1-1111-1111-1-1110000000000000000000002-22-2-1-11-110000
χ3022222-12-12-22-2-1-22-2222-2-222-2-2-1-1-1-1-2-222-2-20000001-11-1-1-111-1-1111-1111-1-111000000000000000000000-22-2211-11-10000
χ3122222-12-12-2-22-1-2-22222-2-2-2-222-1-1-1-1-2-2-2-22200000011-1-1-1-11111-1-111-11111-1-10000000000000000000002-2-22-1-111-10000
χ3222222-12-12-2-22-1-2-22222-2-2-2-222-1-1-1-1-2-2-2-22200000011-1-1-1-11111-1-111-11111-1-1000000000000000000000-222-211-1-110000
χ33222-2-22222002200-22-2-20000222-2-220000-2-222-2-2220022-2-200002200-20000-2-200-20020000-2-22-2-20000220000000000000
χ34222-2-22222002200-22-2-20000222-2-220000-2-2-2-222-2-20022-2-200002200-20000-2-200200-2000022-2220000-2-20000000000000
χ35222-2-2222200-220022-2-20000-2-22-2-2200002222-2-22200-22-2-20000-2-200200002200200-20000222-2-20000-2-20000000000000
χ36222-2-2222200-220022-2-20000-2-22-2-22000022-2-222-2-200-22-2-20000-2-200200002200-20020000-2-2-2220000220000000000000
χ37222-2-22-12-1002-100-2-111−i3i3−i3i3-1-12-2-2-1−i3i3−i3i31122-2-2-1-1002-111−i3i3−i3i3-1-100-2−i3i3−i3i31100-2002−i3i3−i3i311-111−i3i3−i3i3-1-10000000000000
χ38222-2-22-12-1002-100-2-111−i3i3−i3i3-1-12-2-2-1−i3i3−i3i311-2-22211002-111−i3i3−i3i3-1-100-2−i3i3−i3i31100200-2i3−i3i3−i3-1-11-1-1i3−i3i3−i3110000000000000
χ39222-2-22-12-1002-100-2-111i3−i3i3−i3-1-12-2-2-1i3−i3i3−i31122-2-2-1-1002-111i3−i3i3−i3-1-100-2i3−i3i3−i31100-2002i3−i3i3−i311-111i3−i3i3−i3-1-10000000000000
χ40222-2-22-12-1002-100-2-111i3−i3i3−i3-1-12-2-2-1i3−i3i3−i311-2-22211002-111i3−i3i3−i3-1-100-2i3−i3i3−i31100200-2−i3i3−i3i3-1-11-1-1−i3i3−i3i3110000000000000
χ41222-2-22-12-100-2-1002-111−i3i3i3−i3112-2-2-1−i3i3i3−i3-1-122-2-2-1-100-2-111−i3i3i3−i311002−i3i3i3−i3-1-100200-2−i3i3i3−i3-1-1-111−i3i3i3−i3110000000000000
χ42222-2-22-12-100-2-1002-111−i3i3i3−i3112-2-2-1−i3i3i3−i3-1-1-2-2221100-2-111−i3i3i3−i311002−i3i3i3−i3-1-100-2002i3−i3−i3i3111-1-1i3−i3−i3i3-1-10000000000000
χ43222-2-22-12-100-2-1002-111i3−i3−i3i3112-2-2-1i3−i3−i3i3-1-122-2-2-1-100-2-111i3−i3−i3i311002i3−i3−i3i3-1-100200-2i3−i3−i3i3-1-1-111i3−i3−i3i3110000000000000
χ44222-2-22-12-100-2-1002-111i3−i3−i3i3112-2-2-1i3−i3−i3i3-1-1-2-2221100-2-111i3−i3−i3i311002i3−i3−i3i3-1-100-2002−i3i3i3−i3111-1-1−i3i3i3−i3-1-10000000000000
χ4522-22-2222202020-20-22-2002200-22-2200-2-2002-22-222020-22-20022000-2000-2-2000-2002000-2-200-22-20022000000000000000
χ4622-22-2222202020-20-22-2002200-22-2200-2-200-22-22-2-2020-22-20022000-2000-2-2000200-200022002-2200-2-2000000000000000
χ4722-22-222220-202020-22-200-2-200-22-220022002-22-2220-20-22-200-2-2000200022000200-20002200-22-200-2-2000000000000000
χ4822-22-222220-202020-22-200-2-200-22-22002200-22-22-2-20-20-22-200-2-2000200022000-2002000-2-2002-220022000000000000000
χ4922-22-22-12-1020-10-201-11−i3i3-1-1−i3i3-22-2-1i3−i311−i3i32-22-2-1-10201-11−i3i3-1-1−i3i30-20i3−i311−i3i30-20020i3−i311−i3i31-11−i3i3-1-1−i3i30000000000000
χ5022-22-22-12-1020-10-201-11−i3i3-1-1−i3i3-22-2-1i3−i311−i3i3-22-22110201-11−i3i3-1-1−i3i30-20i3−i311−i3i30200-20−i3i3-1-1i3−i3-11-1i3−i311i3−i30000000000000
χ5122-22-22-12-1020-10-201-11i3−i3-1-1i3−i3-22-2-1−i3i311i3−i32-22-2-1-10201-11i3−i3-1-1i3−i30-20−i3i311i3−i30-20020−i3i311i3−i31-11i3−i3-1-1i3−i30000000000000
χ5222-22-22-12-1020-10-201-11i3−i3-1-1i3−i3-22-2-1−i3i311i3−i3-22-22110201-11i3−i3-1-1i3−i30-20−i3i311i3−i30200-20i3−i3-1-1−i3i3-11-1−i3i311−i3i30000000000000
χ5322-22-22-12-10-20-10201-11−i3i311i3−i3-22-2-1i3−i3-1-1i3−i32-22-2-1-10-201-11−i3i311i3−i3020i3−i3-1-1i3−i30200-20i3−i3-1-1i3−i31-11−i3i311i3−i30000000000000
χ5422-22-22-12-10-20-10201-11−i3i311i3−i3-22-2-1i3−i3-1-1i3−i3-22-22110-201-11−i3i311i3−i3020i3−i3-1-1i3−i30-20020−i3i311−i3i3-11-1i3−i3-1-1−i3i30000000000000
χ5522-22-22-12-10-20-10201-11i3−i311−i3i3-22-2-1−i3i3-1-1−i3i32-22-2-1-10-201-11i3−i311−i3i3020−i3i3-1-1−i3i30200-20−i3i3-1-1−i3i31-11i3−i311−i3i30000000000000
χ5622-22-22-12-10-20-10201-11i3−i311−i3i3-22-2-1−i3i3-1-1−i3i3-22-22110-201-11i3−i311−i3i3020−i3i3-1-1−i3i30-20020i3−i311i3−i3-11-1−i3i3-1-1i3−i30000000000000
χ5722-2-2222222002-200-2-22220000-2-222-2-200002-2-2222200-2-22220000-200-2-20000-200200-2-20000-2-222200000000000000000
χ5822-2-2222222002-200-2-22220000-2-222-2-20000-222-2-2-2200-2-22220000-200-2-20000200-20022000022-2-2-200000000000000000
χ5922-2-222222-2002200-2-22-2-20000-2-2222200002-2-2222-200-2-22-2-20000200220000200-200220000-2-22-2-200000000000000000
χ6022-2-222222-2002200-2-22-2-20000-2-222220000-222-2-2-2-200-2-22-2-20000200220000-200200-2-2000022-22200000000000000000
χ6122-2-222-12-1200-1-20011-1-1-1−i3i3−i3i3-2-22-111i3−i3i3−i32-2-22-1-120011-1-1-1−i3i3−i3i3-20011i3−i3i3−i3-20020011i3−i3i3−i311-1-1-1−i3i3−i3i30000000000000
χ6222-2-222-12-1200-1-20011-1-1-1−i3i3−i3i3-2-22-111i3−i3i3−i3-222-21120011-1-1-1−i3i3−i3i3-20011i3−i3i3−i3200-200-1-1−i3i3−i3i3-1-1111i3−i3i3−i30000000000000
χ6322-2-222-12-1200-1-20011-1-1-1i3−i3i3−i3-2-22-111−i3i3−i3i32-2-22-1-120011-1-1-1i3−i3i3−i3-20011−i3i3−i3i3-20020011−i3i3−i3i311-1-1-1i3−i3i3−i30000000000000
χ6422-2-222-12-1200-1-20011-1-1-1i3−i3i3−i3-2-22-111−i3i3−i3i3-222-21120011-1-1-1i3−i3i3−i3-20011−i3i3−i3i3200-200-1-1i3−i3i3−i3-1-1111−i3i3−i3i30000000000000
χ6522-2-222-12-1-200-120011-111−i3i3i3−i3-2-22-1-1-1i3−i3−i3i32-2-22-1-1-20011-111−i3i3i3−i3200-1-1i3−i3−i3i3200-200-1-1i3−i3−i3i311-111−i3i3i3−i30000000000000
χ6622-2-222-12-1-200-120011-111−i3i3i3−i3-2-22-1-1-1i3−i3−i3i3-222-211-20011-111−i3i3i3−i3200-1-1i3−i3−i3i3-20020011−i3i3i3−i3-1-11-1-1i3−i3−i3i30000000000000
χ6722-2-222-12-1-200-120011-111i3−i3−i3i3-2-22-1-1-1−i3i3i3−i32-2-22-1-1-20011-111i3−i3−i3i3200-1-1−i3i3i3−i3200-200-1-1−i3i3i3−i311-111i3−i3−i3i30000000000000
χ6822-2-222-12-1-200-120011-111i3−i3−i3i3-2-22-1-1-1−i3i3i3−i3-222-211-20011-111i3−i3−i3i3200-1-1−i3i3i3−i3-20020011i3−i3−i3i3-1-11-1-1−i3i3i3−i30000000000000
χ6944444-2-2-2-24441444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2000000-2-2-2111111111-2-2-21111110000000000000000000000000000000000
χ7044444-2-2-2-24-4-414-4-4-2-2-2-2-22222-2-2-21-2-22222000000-22211111-1-1-1-1-22211-1-1-1-10000000000000000000000000000000000
χ7144444-2-2-2-2-44-41-44-4-2-2-222-2-222-2-2-2122-2-2220000002-22111-1-111-1-12-22-1-111-1-10000000000000000000000000000000000
χ7244444-2-2-2-2-4-441-4-44-2-2-22222-2-2-2-2-212222-2-200000022-2111-1-1-1-11122-2-1-1-1-1110000000000000000000000000000000000
χ73444-4-4-24-24004-200-44-4-4000044-222-20000-4-400000000-2-2220000-2-20020000220000000000000000000000000000000000
χ74444-4-4-24-2400-4-20044-4-40000-4-4-222-2000044000000002-22200002200-20000-2-20000000000000000000000000000000000
χ75444-4-4-2-2-2-2004100-4-222−2i32i3−2i32i3-2-2-2221−2i32i3−2i32i32200000000-21-1-1i3−i3i3−i311002i3−i3i3−i3-1-10000000000000000000000000000000000
χ76444-4-4-2-2-2-2004100-4-2222i3−2i32i3−2i3-2-2-22212i3−2i32i3−2i32200000000-21-1-1−i3i3−i3i311002−i3i3−i3i3-1-10000000000000000000000000000000000
χ77444-4-4-2-2-2-200-41004-222−2i32i32i3−2i322-2221−2i32i32i3−2i3-2-20000000021-1-1i3−i3−i3i3-1-100-2i3−i3−i3i3110000000000000000000000000000000000
χ78444-4-4-2-2-2-200-41004-2222i3−2i3−2i32i322-22212i3−2i3−2i32i3-2-20000000021-1-1−i3i3i3−i3-1-100-2−i3i3i3−i3110000000000000000000000000000000000
χ7944-44-4-24-24040-20-40-44-40044002-22-200-4-4000000000-202-2200-2-2000200022000000000000000000000000000000000000
χ8044-44-4-24-240-40-2040-44-400-4-4002-22-20044000000000202-220022000-2000-2-2000000000000000000000000000000000000
χ8144-44-4-2-2-2-204010-402-22−2i32i3-2-2−2i32i32-2212i3−2i322−2i32i30000000-20-11-1i3−i311i3−i3020−i3i3-1-1i3−i30000000000000000000000000000000000
χ8244-44-4-2-2-2-204010-402-222i3−2i3-2-22i3−2i32-221−2i32i3222i3−2i30000000-20-11-1−i3i311−i3i3020i3−i3-1-1−i3i30000000000000000000000000000000000
χ8344-44-4-2-2-2-20-4010402-22−2i32i3222i3−2i32-2212i3−2i3-2-22i3−2i3000000020-11-1i3−i3-1-1−i3i30-20−i3i311−i3i30000000000000000000000000000000000
χ8444-44-4-2-2-2-20-4010402-222i3−2i322−2i32i32-221−2i32i3-2-2−2i32i3000000020-11-1−i3i3-1-1i3−i30-20i3−i311i3−i30000000000000000000000000000000000
χ8544-4-44-24-24400-2-400-4-4444000022-2-2-4-40000000000-20022-2-2-200002002200000000000000000000000000000000000000
χ8644-4-44-24-24-400-2400-4-44-4-4000022-2-244000000000020022-2220000-200-2-200000000000000000000000000000000000000
χ8744-4-44-2-2-2-24001-40022-2-2-2−2i32i3−2i32i322-21222i3−2i32i3−2i3000000-200-1-1111i3−i3i3−i3200-1-1−i3i3−i3i30000000000000000000000000000000000
χ8844-4-44-2-2-2-24001-40022-2-2-22i3−2i32i3−2i322-2122−2i32i3−2i32i3000000-200-1-1111−i3i3−i3i3200-1-1i3−i3i3−i30000000000000000000000000000000000
χ8944-4-44-2-2-2-2-400140022-222−2i32i32i3−2i322-21-2-22i3−2i3−2i32i3000000200-1-11-1-1i3−i3−i3i3-20011−i3i3i3−i30000000000000000000000000000000000
χ9044-4-44-2-2-2-2-400140022-2222i3−2i3−2i32i322-21-2-2−2i32i32i3−2i3000000200-1-11-1-1−i3i3i3−i3-20011i3−i3−i3i30000000000000000000000000000000000
χ918-800088-8-80008000000000000000-80000000000000000000000000000000000000000000000000000000000000000000
χ928-80008-4-84000-40000000000000004000000000043−430000000000000000000000000000000000000000000000000000000
χ938-80008-4-84000-400000000000000040000000000−43430000000000000000000000000000000000000000000000000000000
χ948-8000-484-8000-400000000000000040000000000000000000000000000000000000000000000000000000000−2i32i30000000
χ958-8000-484-8000-4000000000000000400000000000000000000000000000000000000000000000000000000002i3−2i30000000
χ9616-16000-8-8880004000000000000000-40000000000000000000000000000000000000000000000000000000000000000000

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