Finite Group Databasebeta

← Group #11885769

Character table — Group #11885769

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order12223344666666888836661212121224242424242424242244666622666612122424242422224488881212121212122424242424242424666666222266664886644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111-1-111111111111111111111-11-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11-111-1-11111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111111-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-1111-111-1-11-1-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-11-1-1111-1-1-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-1-111-1-1-1111-1-1-1-1-1-1111111-1-1-1-11-111-1-1-1-1-1111-1-1-111-11-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-1-1-1-1-111-1111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-11-1-1-111-1111-11-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-111111-111-1-1-1-11-1-1-111-1111-1-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-111-1-11-1-1-1111111-1-1-1-1-1-11111-11-1-111-1-1-1111-1-1-111-111-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111111-111-1-111-11-1-1111-1-1-111-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-11-1-111111-111-1-11-1-11-1-11
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-200000000-2-2000022-2-2-2-20000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-22222000000-2-2000000002-20000-2-222-2-200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-222-2-2-2-2000000-2-200000000-22000022-2-22200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-200000000220000-2-222220000000000000022000000-2000000
χ2122222-122-1-1222-12222-1-1-1-1-122-12222-1-1-1-12200-1-1-1-122-1-1-1-1-1-1-1-1-1-122220200220000-1-10000-1-1-1-122-1-1-1-10000-1-1-1-10000000
χ2222222-122-1-1222-12222-1-1-1-1-122-12222-1-1-1-12200-1-1-1-1-2-21111-1-1-1-1-1-1-2-2-2-20200220000-1-10000-1-1-1-1-2-21111000011110000000
χ2322222-122-1-1222-12222-1-1-1-1-122-12222-1-1-1-1-2-200111122-1-1-1-1-1-1-1-1-1-1-2-2-2-20-200-2-20000110000111122-1-1-1-1000011110000000
χ2422222-122-1-1222-12222-1-1-1-1-122-12222-1-1-1-1-2-2001111-2-21111-1-1-1-1-1-122220-200-2-200001100001111-2-211110000-1-1-1-10000000
χ2522222-122-1-1222-1-2-2-2-2-1-1-1-1-122-1-2-2-2-211112200-1-1-1-12-2-1-111-1-1111122-2-20200-2-20000-1-1000011112-2-1-1110000-1-1110000000
χ2622222-122-1-1222-1-2-2-2-2-1-1-1-1-122-1-2-2-2-211112200-1-1-1-1-2211-1-1-1-11111-2-2220200-2-20000-1-100001111-2211-1-1000011-1-10000000
χ2722222-122-1-1222-1-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-20011112-2-1-111-1-11111-2-2220-200220000110000-1-1-1-12-2-1-111000011-1-10000000
χ2822222-122-1-1222-1-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-2001111-2211-1-1-1-1111122-2-20-200220000110000-1-1-1-1-2211-1-10000-1-1110000000
χ292222-122222-1-1-122222-1-1-1-12-1-12-1-1-1-1222200220000222222-1-1-1-1-1-10000202200-1-1-1-100-1-1-1-10000-1-1-1-1-1-100220000000-1-100
χ302222-122222-1-1-122222-1-1-1-12-1-12-1-1-1-1222200220000-2-2-2-2-2-2-1-1-1-1-1-10000202200-1-1-1-100-1-1-1-1000011111100-2-200000001100
χ312222-122222-1-1-122222-1-1-1-12-1-12-1-1-1-1222200-2-20000222222-1-1-1-1-1-10000-20-2-20011110011110000-1-1-1-1-1-100-2-200000001100
χ322222-122222-1-1-122222-1-1-1-12-1-12-1-1-1-1222200-2-20000-2-2-2-2-2-2-1-1-1-1-1-10000-20-2-2001111001111000011111100220000000-1-100
χ332222-122222-1-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-2002200002-222-2-2-1-11111000020-2-200-1-1-1-10011110000-11-1-111002-20000000-1100
χ342222-122222-1-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-200220000-22-2-222-1-11111000020-2-200-1-1-1-100111100001-111-1-100-2200000001-100
χ352222-122222-1-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-200002-222-2-2-1-111110000-202200111100-1-1-1-10000-11-1-11100-2200000001-100
χ362222-122222-1-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-20000-22-2-222-1-111110000-202200111100-1-1-1-100001-111-1-1002-20000000-1100
χ372-22-222-22-2-22-2-2222-2-22-2-22-22-2222-2-222-2-200000000000000-2222-2-22-22-20000000000000000000000000000002-22-20000000
χ382-22-222-22-2-22-2-2222-2-22-2-22-22-2222-2-222-2-200000000000000-2222-2-2-22-22000000000000000000000000000000-22-220000000
χ392-22-222-22-2-22-2-22-2-2222-2-22-22-22-2-222-2-22200000000000000-22-2-2222-2-220000000000000000000000000000002-2-220000000
χ402-22-222-22-2-22-2-22-2-2222-2-22-22-22-2-222-2-22200000000000000-22-2-222-222-2000000000000000000000000000000-222-20000000
χ412-22-22-1-22112-2-2-122-2-2-111-112-2-122-2-2-1-1110000−i3−i3i3i300−i3i3−i3i31-1-1-1112-22-20000000000−i3i30000−i3−i3i3i300−i3i3−i3i30000-11-110000000
χ422-22-22-1-22112-2-2-122-2-2-111-112-2-122-2-2-1-1110000−i3−i3i3i300i3−i3i3−i31-1-1-111-22-220000000000−i3i30000−i3−i3i3i300i3−i3i3−i300001-11-10000000
χ432-22-22-1-22112-2-2-122-2-2-111-112-2-122-2-2-1-1110000i3i3−i3−i300−i3i3−i3i31-1-1-111-22-220000000000i3−i30000i3i3−i3−i300−i3i3−i3i300001-11-10000000
χ442-22-22-1-22112-2-2-122-2-2-111-112-2-122-2-2-1-1110000i3i3−i3−i300i3−i3i3−i31-1-1-1112-22-20000000000i3−i30000i3i3−i3−i300i3−i3i3−i30000-11-110000000
χ452-22-22-1-22112-2-2-1-2-222-111-112-2-1-2-22211-1-10000−i3−i3i3i300−i3i3i3−i31-111-1-12-2-220000000000−i3i30000i3i3−i3−i300−i3i3i3−i30000-111-10000000
χ462-22-22-1-22112-2-2-1-2-222-111-112-2-1-2-22211-1-10000−i3−i3i3i300i3−i3−i3i31-111-1-1-222-20000000000−i3i30000i3i3−i3−i300i3−i3−i3i300001-1-110000000
χ472-22-22-1-22112-2-2-1-2-222-111-112-2-1-2-22211-1-10000i3i3−i3−i300−i3i3i3−i31-111-1-1-222-20000000000i3−i30000−i3−i3i3i300−i3i3i3−i300001-1-110000000
χ482-22-22-1-22112-2-2-1-2-222-111-112-2-1-2-22211-1-10000i3i3−i3−i300i3−i3−i3i31-111-1-12-2-220000000000i3−i30000−i3−i3i3i300i3−i3−i3i30000-111-10000000
χ492-2-2222002-2-22-2-22−22−222-2-200002−22−22−22−22-22-22-22-2000000002−22−20000002−22−22-2000022−2−22−22−20000002-200000002−20000
χ502-2-2222002-2-22-2-22−22−222-2-200002−22−22−22−22-2-222-22-2000000002−22−2000000−222−2-220000−2−2222−22−2000000-220000000−220000
χ512-2-2222002-2-22-2-22−22−222-2-200002−22−22−22−2-222-2-22-22000000002−22−20000002−2−222-2000022−2−2−22−22000000-220000000−220000
χ522-2-2222002-2-22-2-22−22−222-2-200002−22−22−22−2-22-22-22-22000000002−22−2000000−22−22-220000−2−222−22−220000002-200000002−20000
χ532-2-2222002-2-22-2-2−22−2222-2-20000−22−22−22−222-22-22-22-200000000−22−22000000−22−222-20000−2−222−22−220000002-20000000−220000
χ542-2-2222002-2-22-2-2−22−2222-2-20000−22−22−22−222-2-222-22-200000000−22−220000002−2−22-22000022−2−2−22−22000000-2200000002−20000
χ552-2-2222002-2-22-2-2−22−2222-2-20000−22−22−22−22-222-2-22-2200000000−22−22000000−222−22-20000−2−2222−22−2000000-2200000002−20000
χ562-2-2222002-2-22-2-2−22−2222-2-20000−22−22−22−22-22-22-22-2200000000−22−220000002−22−2-22000022−2−22−22−20000002-20000000−220000
χ5744444-2-4-4-2-2444-20000-2-2-2-22-4-42000000004400-2-2-2-200000022000000000-4000000002200000000000000000000000000000
χ5844444-2-4-4-2-2444-20000-2-2-2-22-4-4200000000-4-400222200000022000000000400000000-2-200000000000000000000000000000
χ594444-24-4-444-2-2-240000-2-2-2-2-422-400000000004400000000002200000000-400000-2-2220000000000000000000000000000000
χ604444-24-4-444-2-2-240000-2-2-2-2-422-40000000000-4-40000000000220000000040000022-2-20000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-2111111000000000000000000000000-2-21111000000000000000
χ624444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-200000000-4-4222211111100000000000000000000000022-1-1-1-1000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-222222222000000004-4-2-22211-1-1-1-1000000000000000000000000-2211-1-1000000000000000
χ644444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200000000-4422-2-211-1-1-1-10000000000000000000000002-2-1-111000000000000000
χ6544-4-44400-44-4-44-422−22−22224-44-4000022−22−222222−22−2222000000000000000022−22−2222000000000000000000000000000000000000000000000
χ6644-4-44400-44-4-44-4−222222−224-44-40000−222222−22−222222−220000000000000000−222222−22000000000000000000000000000000000000000000000
χ6744-4-44-2002-2-4-44222−22−2222-22-22000022−22−2222−222−20000−2i32i32i3−2i300000000−222−200000000000000000000−i6i6i6−i6000000000000000000000
χ6844-4-44-2002-2-4-44222−22−2222-22-22000022−22−2222−222−200002i3−2i3−2i32i300000000−222−200000000000000000000i6−i6−i6i6000000000000000000000
χ6944-4-44-2002-2-4-442−222222−22-22-220000−222222−222−2−220000−2i32i32i3−2i3000000002−2−2200000000000000000000i6−i6−i6i6000000000000000000000
χ7044-4-44-2002-2-4-442−222222−22-22-220000−222222−222−2−2200002i3−2i3−2i32i3000000002−2−2200000000000000000000−i6i6i6−i6000000000000000000000
χ7144-4-4-2400-4422-2-422−22−2222-22-220000−222−222−22−22220000000000000000−222−2000000000000−2i32i300i6−i6i6−i60000000000000000000000000
χ7244-4-4-2400-4422-2-422−22−2222-22-220000−222−222−22−22220000000000000000−222−20000000000002i3−2i300−i6i6−i6i60000000000000000000000000
χ7344-4-4-2400-4422-2-4−222222−22-22-2200002−2−22−222222−2200000000000000002−2−22000000000000−2i32i300−i6i6−i6i60000000000000000000000000
χ7444-4-4-2400-4422-2-4−222222−22-22-2200002−2−22−222222−2200000000000000002−2−220000000000002i3−2i300i6−i6i6−i60000000000000000000000000
χ754-44-4444-4-4-44-4-4400004-4-444-44-400000000000000000000004-40000000000000000000000000000000000000000000000000
χ764-44-44-24-4224-4-4-20000-222-2-2-442000000000000−2i3−2i32i32i3000000-220000000000000000002i3−2i300000000000000000000000000000
χ774-44-44-24-4224-4-4-20000-222-2-2-4420000000000002i32i3−2i3−2i3000000-22000000000000000000−2i32i300000000000000000000000000000
χ784-44-4-244-4-4-4-22240000-222-242-2-40000000000000000000000-2200000000000000000000−2i32i32i3−2i30000000000000000000000000
χ794-44-4-244-4-4-4-22240000-222-242-2-40000000000000000000000-22000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ804-44-4-24-44-4-4-222444-4-4-222-2-4-224-2-22244-4-4000000000000002-2-2-222000000000000000000000000000000000000000000000
χ814-44-4-24-44-4-4-2224-4-444-222-2-4-22422-2-2-4-444000000000000002-222-2-2000000000000000000000000000000000000000000000
χ824-44-4-2-2-4422-222-244-4-41-1-112-22-2-2-222-2-2220000000000−2i32i3−2i32i3-1111-1-100000000000000000000000000i3−i3i3−i3000000000000000
χ834-44-4-2-2-4422-222-244-4-41-1-112-22-2-2-222-2-22200000000002i3−2i32i3−2i3-1111-1-100000000000000000000000000−i3i3−i3i3000000000000000
χ844-44-4-2-2-4422-222-2-4-4441-1-112-22-222-2-222-2-20000000000−2i32i32i3−2i3-11-1-11100000000000000000000000000i3−i3−i3i3000000000000000
χ854-44-4-2-2-4422-222-2-4-4441-1-112-22-222-2-222-2-200000000002i3−2i3−2i32i3-11-1-11100000000000000000000000000−i3i3i3−i3000000000000000
χ864-4-444-200-22-44-4222−2222−22-2-222000022−2222−22−22−224-400-22-2200000000−22−220000000022−220000000000−22−22000000000000000000000
χ874-4-444-200-22-44-4222−2222−22-2-222000022−2222−22−22−22-44002-22-200000000−22−2200000000−222200000000002−22−2000000000000000000000
χ884-4-444-200-22-44-42−2222−2222-2-2220000−2222−22222−22−24-400-22-22000000002−22−200000000−222200000000002−22−2000000000000000000000
χ894-4-444-200-22-44-42−2222−2222-2-2220000−2222−22222−22−2-44002-22-2000000002−22−20000000022−220000000000−22−22000000000000000000000
χ904-4-44-24004-42-22-422−2222−22-2-2220000−22−2222−2222−22004-4000000000000−22−2200000022−2200-220000−2−2220000000000000000000000000
χ914-4-44-24004-42-22-422−2222−22-2-2220000−22−2222−2222−2200-44000000000000−22−22000000−2222002-2000022−2−20000000000000000000000000
χ924-4-44-24004-42-22-4−2222−2222-2-22200002−22−2−2222−2222004-40000000000002−22−2000000−222200-22000022−2−20000000000000000000000000
χ934-4-44-24004-42-22-4−2222−2222-2-22200002−22−2−2222−222200-440000000000002−22−200000022−22002-20000−2−2220000000000000000000000000
χ948888-4-4-8-8-4-4-4-4-4-40000222244440000000000000000000000-2-20000000000000000000000000000000000000000000000000
χ9588-8-8-4-4004-444-4442−42−42422-22-20000−222222−22−222222−2200000000000000002−2−22000000000000000000000000000000000000000000000
χ9688-8-8-4-4004-444-44−424242−422-22-2000022−22−222222−22−22220000000000000000−222−2000000000000000000000000000000000000000000000
χ978-88-8-4-48-844-444-400002-2-22-44-4400000000000000000000002-20000000000000000000000000000000000000000000000000
χ988-8-88-4-400-444-44442−4242−4222-2-20000−2222−2222−2222−222200000000000000002−22−2000000000000000000000000000000000000000000000
χ998-8-88-4-400-444-444−4242−424222-2-2000022−2222−2222−2222−220000000000000000−22−22000000000000000000000000000000000000000000000

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