Finite Group Databasebeta

← Group #11882244

Character table — Group #11882244

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222244444444444444444444444444444444444444444444444444444444444444441818181824242424242424243636363636364848484848484848
order122222334444666666366666666666888812121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444442244444444888866121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-11-111-1-1-1-1-1-1-1-11-111-1-11-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-111-1-1-1-1-1-1-11-1-111-11
χ5111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-11-111-1-1-1-1111-11-1-1-1
χ6111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1111-1-1-1-1-1-1-11-1111
χ7111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-111111-11-1-11-11
χ8111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11111-11-111-11-1
χ91111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-111-111-1-111-1-1-111-1
χ101111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-11-111-1-1-1-1111-1-11
χ111111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-11-1-11-1-1111-1-1-11-111
χ121111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-11-11-1-111-1111-11-1-1
χ131111-1-1111-1-111111111-1-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-11-11-1-11-1-1-11111-11-1-1-11
χ141111-1-1111-1-111111111-1-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11-11-1111-1-1-111-1-11-1111-1
χ151111-1-1111-1-111111111-1-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111-1-1-1-1111-1111-1-11-1-1111-1-1
χ161111-1-1111-1-111111111-1-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-11111-1-1-1-1111-1-1-111-1-1-111
χ1722222222-2-2-2-22222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000222200000000-2-2000000000000
χ1822222222-2-2-2-22222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-20000000022000000000000
χ192222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000020200220000000-100-1-10-1
χ202222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000-20-200-2-200000001001101
χ212222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-1-2-2-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000020-2002-20000000-100-1101
χ222222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-1-2-2-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000-20200-2200000001001-10-1
χ23222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000020202200000000-10-1-100-10
χ24222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-20-20-2-20000000010110010
χ25222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111000020-202-200000000-10-110010
χ26222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2020-2200000000101-100-10
χ272222-2-222-222-22222222-2-2-2-222-2-2-2-220000-2-22222-2-22222-2-2-2-20000000000000000000000000000000022-2-200000000-22000000000000
χ282222-2-222-222-22222222-2-2-2-222-2-2-2-220000-2-22222-2-22222-2-2-2-200000000000000000000000000000000-2-222000000002-2000000000000
χ292222-2-22-12-2-2222-1-12-1-1-2-211-1-11111-122-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000020-200-220000000-1001-101
χ302222-2-22-12-2-2222-1-12-1-1-2-211-1-11111-122-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000-202002-20000000100-110-1
χ312222-2-22-12-2-2222-1-12-1-1-2-211-1-11111-1-2-2222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000020200-2-20000000-100110-1
χ322222-2-22-12-2-2222-1-12-1-1-2-211-1-11111-1-2-2222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000-20-200220000000100-1-101
χ332222-2-2-122-2-22-1-122-12-111-2-2-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100002020-2-200000000-101100-10
χ342222-2-2-122-2-22-1-122-12-111-2-2-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000-20-20220000000010-1-10010
χ352222-2-2-122-2-22-1-122-12-111-2-2-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000020-20-2200000000-101-10010
χ362222-2-2-122-2-22-1-122-12-111-2-2-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000-20202-20000000010-1100-10
χ372-22-22-22200002-22-2-2-222-22-22-222-2-2-2−i2i2−i2i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i22-22-20000000000−i2i2−i2i200000000
χ382-22-22-22200002-22-2-2-222-22-22-222-2-2-2−i2i2−i2i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2-22-220000000000i2−i2i2−i200000000
χ392-22-22-22200002-22-2-2-222-22-22-222-2-2-2i2−i2i2−i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i22-22-20000000000i2−i2i2−i200000000
χ402-22-22-22200002-22-2-2-222-22-22-222-2-2-2i2−i2i2−i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2-22-220000000000−i2i2−i2i200000000
χ412-22-2-222200002-22-2-2-22-22-222-2-2-222-2−i2i2i2−i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i22-2-220000000000−i2i2i2−i200000000
χ422-22-2-222200002-22-2-2-22-22-222-2-2-222-2−i2i2i2−i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2-222-20000000000i2−i2−i2i200000000
χ432-22-2-222200002-22-2-2-22-22-222-2-2-222-2i2−i2−i2i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i22-2-220000000000i2−i2−i2i200000000
χ442-22-2-222200002-22-2-2-22-22-222-2-2-222-2i2−i2−i2i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2-222-20000000000−i2i2i2−i200000000
χ454444444-2-4-4-4-444-2-24-2-244-2-2-2-2-2-2-2-2-20000-42-4-422222222-42220000000000000000000000000000000000000000000000000000000000
χ46444444-24-4-4-4-4-2-244-24-2-2-244-2-2-2-2-2-2-200002-422-4-42222222-4220000000000000000000000000000000000000000000000000000000000
χ47444444-2-24444-2-2-2-2-2-21-2-2-2-211111114444-2-2-2-2-2-2111111-2-211-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ48444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-4-4-4-4-2-2-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ49444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111110000222222-1-1-1-1-1-122-1-1000000003i3i−3i−3i3i3i−3i−3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000
χ50444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111110000222222-1-1-1-1-1-122-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000
χ514444-4-44-2-444-444-2-24-2-2-4-422-2-22222-20000-4244-2-222-2-2-2-2-42220000000000000000000000000000000000000000000000000000000000
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χ564444-4-4-2-2-444-4-2-2-2-2-2-21222211-1-1-1-11000022-2-2-2-2-1-1111122-1-100000000−3i−3i3i3i−3i−3i3i3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000
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χ6244-4-4004-2-4004-4-4224-2-20000220000-20000-4200002200004-2-2-2000000000000000000002i3−2i32i3−2i32i3−2i32i3−2i32i3−2i32i3−2i300000000000000000000000000
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χ7144-4-400-2-2-40042222-2-210000-1-13-33-310000220000-1-1-3-333-2-211−2i32i3−2i32i30000i3−i3−i3i3i3−i3−i3i30000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000
χ7244-4-400-2-2-40042222-2-210000-1-13-33-310000220000-1-1-3-333-2-2112i3−2i32i3−2i30000−i3i3i3−i3−i3i3i3−i300002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000
χ7344-4-400-2-2-40042222-2-210000-1-1-33-3310000220000-1-133-3-3-2-211−2i32i3−2i32i30000i3−i3−i3i3i3−i3−i3i300002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000
χ7444-4-400-2-2-40042222-2-210000-1-1-33-3310000220000-1-133-3-3-2-2112i3−2i32i3−2i30000−i3i3i3−i3−i3i3i3−i30000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000
χ754-44-44-44-200004-4-22-42-24-4-22-22-2-2222−2i22i2−2i22i20000000000000000−2i2−2i22i22i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−2i2−2i22i22i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000
χ764-44-44-44-200004-4-22-42-24-4-22-22-2-22222i2−2i22i2−2i200000000000000002i22i2−2i2−2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i22i22i2−2i2−2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.