Finite Group Databasebeta

← Group #11885758

Character table — Group #11885758

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222222244444444444444444444444444444444444444444444444444444444444441212121218181818242424242424242424242424242436363636363648484848
order12222233446666666666888834666666666881212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242222224422224466666666448888661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-11-11111-1-1-1-111-1-1-1-11-11-1
χ611111111111111111111-1-1-1-111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11-111111-1-1-1-1-1-11111-11-11
χ711111111111111111111-1-1-1-111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-11-1-1-1-1111111-1-1-1-1-11-11
χ811111111111111111111-1-1-1-111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11-1-1-1-1-11111-1-111111-11-1
χ91111-1-11111111-1-1-1-111111111-1-1-111-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-11-1-11111-1-1
χ101111-1-11111111-1-1-1-111111111-1-1-111-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-11-111-1-1-1-111
χ111111-1-11111111-1-1-1-111111111-1-1-111-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-11-1-111-1-111
χ121111-1-11111111-1-1-1-111111111-1-1-111-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-111-1-111-1-1
χ131111-1-11111111-1-1-1-1111-1-1-1-11-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-111-1-1111-1-1-1-111-1111-1-11-1-11
χ141111-1-11111111-1-1-1-1111-1-1-1-11-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-11-111-111-1-1-1-1111-1-1-111-111-1
χ151111-1-11111111-1-1-1-1111-1-1-1-11-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-11-1-111-1-1-11111-1-1-1111-1-1-111-1
χ161111-1-11111111-1-1-1-1111-1-1-1-11-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111-11-1-11-1-11111-1-11-1-1-1111-1-11
χ1722222222-2-2222222222200002-222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000222200000000000000-2-200000000
χ1822222222-2-2222222222200002-222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-2-2-2000000000000002200000000
χ192222222-1222-1-1-1-1-1-12-122222-1222-1-1-1-1-1-1-1222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000220000-1-1-1-1-1-1-1-10000000000
χ202222222-1222-1-1-1-1-1-12-122222-1222-1-1-1-1-1-1-1222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-20000111111110000000000
χ212222222-1222-1-1-1-1-1-12-12-2-2-2-2-1222-1-1-1-1-1-1-1-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-200002-20000-1-1-1-111110000000000
χ222222222-1222-1-1-1-1-1-12-12-2-2-2-2-1222-1-1-1-1-1-1-1-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2220000-2200001111-1-1-1-10000000000
χ23222222-1222-1222222-12-12222-12-1-1-1-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000222200000000000000-1-1-1-1
χ24222222-1222-1222222-12-12222-12-1-1-1-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000-2-2-2-2000000000000001111
χ25222222-1222-1222222-12-1-2-2-2-2-12-1-1-1-1-1-1-1-1-1-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111100000000002-22-200000000000000-11-11
χ26222222-1222-1222222-12-1-2-2-2-2-12-1-1-1-1-1-1-1-1-1-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000000000-22-22000000000000001-11-1
χ272222-2-222-2-2222-2-2-2-2222000022-2-222-2-2-2-2200-2-22222-2-22222-2-2-2-200000000000000000000000000000000000022-2-2000000000000002-200000000
χ282222-2-222-2-2222-2-2-2-2222000022-2-222-2-2-2-2200-2-22222-2-22222-2-2-2-2000000000000000000000000000000000000-2-22200000000000000-2200000000
χ292222-2-22-1222-1-111112-122222-1-2-2-2-1-11111-1-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122220000-2-20000-1-111-1-1110000000000
χ302222-2-22-1222-1-111112-122222-1-2-2-2-1-11111-1-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2000022000011-1-111-1-10000000000
χ312222-2-22-1222-1-111112-12-2-2-2-2-1-2-2-2-1-11111-1222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-122-2-20000-220000-1-11111-1-10000000000
χ322222-2-22-1222-1-111112-12-2-2-2-2-1-2-2-2-1-11111-1222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-22200002-2000011-1-1-1-1110000000000
χ332222-2-2-1222-122-2-2-2-2-12-12222-1-211-1-11111-1-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000022-2-200000000000000-1-111
χ342222-2-2-1222-122-2-2-2-2-12-12222-1-211-1-11111-1-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000000000-2-2220000000000000011-1-1
χ352222-2-2-1222-122-2-2-2-2-12-1-2-2-2-2-1-211-1-11111-122-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100000000002-2-2200000000000000-111-1
χ362222-2-2-1222-122-2-2-2-2-12-1-2-2-2-2-1-211-1-11111-122-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000000000-222-2000000000000001-1-11
χ372-22-20022-22-2-2-2000022-222-2-22000-2-20000200-2-20000-2-20000222222-2-222-2-22222-2-2-2-200000000000000002-22-200000000002-2002-2000000000000
χ382-22-20022-22-2-2-2000022-222-2-22000-2-20000200-2-20000-2-20000222222-2-222-2-22222-2-2-2-20000000000000000-22-220000000000-2200-22000000000000
χ392-22-20022-22-2-2-2000022-2-2-2222000-2-20000200-2-20000-2-200002222-2-222-2-222-2-2-2-2222200000000000000002-2-2200000000002-200-22000000000000
χ402-22-20022-22-2-2-2000022-2-2-2222000-2-20000200-2-20000-2-200002222-2-222-2-222-2-2-2-222220000000000000000-222-20000000000-22002-2000000000000
χ412-22-2002-1-22-211−i3−i3i3i32-1-222-2-2-100011−i3−i3i3i3-100-2100−i3i311−i3−i3i3i32-1-1-122-2-2-1-111-1-1-1-111110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i32-22-20000000000-11−i3i3-11−i3i30000000000
χ422-22-2002-1-22-211−i3−i3i3i32-1-222-2-2-100011−i3−i3i3i3-100-2100−i3i311−i3−i3i3i32-1-1-122-2-2-1-111-1-1-1-111110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3-22-2200000000001-1i3−i31-1i3−i30000000000
χ432-22-2002-1-22-211−i3−i3i3i32-1-2-2-222-100011−i3−i3i3i3-100-2100−i3i311−i3−i3i3i32-1-1-1-2-22211-1-11111-1-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32-2-220000000000-11−i3i31-1i3−i30000000000
χ442-22-2002-1-22-211−i3−i3i3i32-1-2-2-222-100011−i3−i3i3i3-100-2100−i3i311−i3−i3i3i32-1-1-1-2-22211-1-11111-1-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3-222-200000000001-1i3−i3-11−i3i30000000000
χ452-22-2002-1-22-211i3i3−i3−i32-1-222-2-2-100011i3i3−i3−i3-100-2100i3−i311i3i3−i3−i32-1-1-122-2-2-1-111-1-1-1-111110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32-22-20000000000-11i3−i3-11i3−i30000000000
χ462-22-2002-1-22-211i3i3−i3−i32-1-222-2-2-100011i3i3−i3−i3-100-2100i3−i311i3i3−i3−i32-1-1-122-2-2-1-111-1-1-1-111110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3-22-2200000000001-1−i3i31-1−i3i30000000000
χ472-22-2002-1-22-211i3i3−i3−i32-1-2-2-222-100011i3i3−i3−i3-100-2100i3−i311i3i3−i3−i32-1-1-1-2-22211-1-11111-1-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i32-2-220000000000-11i3−i31-1−i3i30000000000
χ482-22-2002-1-22-211i3i3−i3−i32-1-2-2-222-100011i3i3−i3−i3-100-2100i3−i311i3i3−i3−i32-1-1-1-2-22211-1-11111-1-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3-222-200000000001-1−i3i3-11i3−i30000000000
χ492-2-222-22200-22-22-22-2-2-222−22−2202-22-22-22-2-22−200000000000000002−22−22−22−222−2−222−2−222−2−22−22−222−2−222−2−200002-22-200000000000000002−22−20000
χ502-2-222-22200-22-22-22-2-2-222−22−2202-22-22-22-2-22−200000000000000002−22−22−22−222−2−222−2−222−2−22−22−222−2−222−2−20000-22-220000000000000000−22−220000
χ512-2-222-22200-22-22-22-2-2-22−22−22202-22-22-22-2-2−220000000000000000−22−22−22−22−2−222−2−222−2−222−22−22−2−222−2−22200002-22-20000000000000000−22−220000
χ522-2-222-22200-22-22-22-2-2-22−22−22202-22-22-22-2-2−220000000000000000−22−22−22−22−2−222−2−222−2−222−22−22−2−222−2−2220000-22-2200000000000000002−22−20000
χ532-2-22-222200-22-2-22-22-2-222−22−220-222-2-22-22-2−2200000000000000002−22−22−22−222−2−222−2−2−2−222−22−22−2−222−2−22200002-2-220000000000000000−222−20000
χ542-2-22-222200-22-2-22-22-2-222−22−220-222-2-22-22-2−2200000000000000002−22−22−22−222−2−222−2−2−2−222−22−22−2−222−2−2220000-222-200000000000000002−2−220000
χ552-2-22-222200-22-2-22-22-2-22−22−2220-222-2-22-22-22−20000000000000000−22−22−22−22−2−222−2−22222−2−22−22−222−2−222−2−200002-2-2200000000000000002−2−220000
χ562-2-22-222200-22-2-22-22-2-22−22−2220-222-2-22-22-22−20000000000000000−22−22−22−22−2−222−2−22222−2−22−22−222−2−222−2−20000-222-20000000000000000−222−20000
χ574444444-2-4-44-2-2-2-2-2-24-240000-2-444-2-2-2-2-2-2-200-42-4-422222222-42220000000000000000000000000000000000000000000000000000000000000000
χ58444444-24-4-4-2444444-24-20000-2-4-2-2-2-2-2-2-2-2-2002-422-4-42222222-4220000000000000000000000000000000000000000000000000000000000000000
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χ60444444-2-244-2-2-2-2-2-2-2-2-2-2-4-4-4-414-2-21111111-4-4-2-2-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
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χ62444444-2-2-4-4-2-2-2-2-2-2-2-2-2-200001-4-2-2111111100222222-1-1-1-1-1-122-1-100000000−3i3i−3i3i−3i3i−3i3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000
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χ664444-4-4-2-244-2-2-22222-2-2-2-4-4-4-41-42211-1-1-1-1144-2-2222211-1-1-1-1-2-21122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ674444-4-4-2-2-4-4-2-2-22222-2-2-20000142211-1-1-1-110022-2-2-2-2-1-1111122-1-1000000003i−3i3i−3i3i−3i3i−3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000
χ684444-4-4-2-2-4-4-2-2-22222-2-2-20000142211-1-1-1-110022-2-2-2-2-1-1111122-1-100000000−3i3i−3i3i−3i3i−3i3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000
χ6944-4-40044004-440000-4-4-422−22−22224000-440000-400000000000000000022−22−222222−22−22222222−22−22−22−222222000000000000000000000000000000000000000000000000
χ7044-4-40044004-440000-4-4-4−222222−224000-440000-4000000000000000000−222222−22−222222−22−22−2222222222−22−22000000000000000000000000000000000000000000000000
χ7144-4-4004-20042-2−2i32i32i3−2i3-42-422−22−2222-20002-2−2i32i32i3−2i3200000000000000000022−22−2222−222−2−2−22222−2−20000−i6i6i6−i6−i6−i6i6i6i6i6−i6−i600000000000000000000000000000000
χ7244-4-4004-20042-2−2i32i32i3−2i3-42-4−222222−22-20002-2−2i32i32i3−2i32000000000000000000−222222−222−2−2222−2−2−2−2220000i6−i6−i6i6i6i6−i6−i6−i6−i6i6i600000000000000000000000000000000
χ7344-4-4004-20042-22i3−2i3−2i32i3-42-422−22−2222-20002-22i3−2i3−2i32i3200000000000000000022−22−2222−222−2−2−22222−2−20000i6−i6−i6i6i6i6−i6−i6−i6−i6i6i600000000000000000000000000000000
χ7444-4-4004-20042-22i3−2i3−2i32i3-42-4−222222−22-20002-22i3−2i3−2i32i32000000000000000000−222222−222−2−2222−2−2−2−2220000−i6i6i6−i6−i6−i6i6i6i6i6−i6−i600000000000000000000000000000000
χ7544-4-400-2400-2-4400002-4222−22−2222-20002-200002000023−23000023−2323−230000−222−222−22−2222−2−22222−2−26−66−600006−6−66−666−600000000000000000000000000000000
χ7644-4-400-2400-2-4400002-4222−22−2222-20002-2000020000−23230000−2323−23230000−222−222−22−2222−2−22222−2−2−66−660000−666−66−6−6600000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.