Finite Group Databasebeta

← Group #13168278

Character table — Group #13168278

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222244444444444444444466668888888888888812121212121212121212121212121212121212121818181818181818181818181818242424242424242424242424242424243636363636363636363636108108
order122233344666666666333666666666121212121212222236661212121212121212121244446666666612121212121212124444441212121212121212666612121212121212121212121222466661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-11111-11-1-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-1-1-11111-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-1-111-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-111-1-11111111111111111-1-11-11-111-1-111-1-1-1-1-1-1-1-1-111-1-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-1-1111-1-1-1-111-111-1-111-1-111-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1-1-11111-1-11-1111-1-1-1-111-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-11-1-111-1-11111-1111111-1-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-11-111-1-111-1-111-1111111-1-1-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-1111-1111-1-1-1-1111-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111-111-1-1-11111-1-1-111-1-111-1-1111-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-1-11111111111111111-1-111-11-11-1-111-1-111-1-1-1-1-1-1-111-1-1-11
χ17222222-12222-1-12222-12-1-122-1-1-1-1-12-12222-1-12222-1-1-1-1-1-122-1-1-1-1-1-1002222-1-122-1-10000-1-1-1-10022000000-1-1-1-1-1-1-1-100220000-1-1-1-102000-1-1000000
χ18222222-12222-1-12222-12-1-122-1-1-1-1-12-12222-1-12222-1-1-1-1-1-122-1-1-1-1-1-100-2-222-1-122-1-10000111100-2-20000001111-1-1-1-100-2-2000011110-200011000000
χ19222222-12222-1-12222-12-1-122-1-1-1-1-12-12222-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-10022-2-211-2-2110000-1-1-1-100-2-20000001111111100220000-1-1-1-10-200011000000
χ20222222-12222-1-12222-12-1-122-1-1-1-1-12-12222-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-100-2-2-2-211-2-211000011110022000000-1-1-1-1111100-2-20000111102000-1-1000000
χ21222222-1-2-222-1-12222-12-1-122-1-1-1-1-12-1-2-2-2-21122-2-2-1-1-1-111-2-2111111002-222-1-1-2-2110000-1-1110022000000-1-1-1-1-1-111002-20000-1-1110-200011000000
χ22222222-1-2-222-1-12222-12-1-122-1-1-1-1-12-1-2-2-2-21122-2-2-1-1-1-111-2-211111100-2222-1-1-2-211000011-1-100-2-20000001111-1-11100-22000011-1-102000-1-1000000
χ23222222-1-2-222-1-12222-12-1-122-1-1-1-1-12-1-2-2-2-211-2-222-1-1-1-111-2-2111111002-2-2-21122-1-10000-1-11100-2-2000000111111-1-1002-20000-1-11102000-1-1000000
χ24222222-1-2-222-1-12222-12-1-122-1-1-1-1-12-1-2-2-2-211-2-222-1-1-1-111-2-211111100-22-2-21122-1-1000011-1-10022000000-1-1-1-111-1-100-22000011-1-10-200011000000
χ2522222-1222-1-122222-12-12-1-1-122-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-122-1-1-1-12200-1-122-1-122-1-1-1-10000220000-1-1-1-10000-1-1-1-12200-1-1-1-10000200-1-100000000
χ2622222-1222-1-122222-12-12-1-1-122-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-2-200-1-122-1-12211110000-2-2000011110000-1-1-1-1-2-20011110000-2001100000000
χ2722222-1222-1-122222-12-12-1-1-122-1-1-1-1222-1-122-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1220011-2-211-2-2-1-1-1-10000-2-200001111000011112200-1-1-1-10000-2001100000000
χ2822222-1222-1-122222-12-12-1-1-122-1-1-1-1222-1-122-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1-2-20011-2-211-2-211110000220000-1-1-1-100001111-2-20011110000200-1-100000000
χ2922222-12-2-2-1-122222-12-12-1-1-122-1-1-1-12-2-211-2-222-2-2-1-1-1-11111-2-211112-200-1-12211-2-2-1-1110000220000-1-1-1-10000-1-1112-200-1-1110000-2001100000000
χ3022222-12-2-2-1-122222-12-12-1-1-122-1-1-1-12-2-211-2-222-2-2-1-1-1-11111-2-21111-2200-1-12211-2-211-1-10000-2-2000011110000-1-111-220011-1-10000200-1-100000000
χ3122222-12-2-2-1-122222-12-12-1-1-122-1-1-1-12-2-211-2-2-2-222-1-1-1-11111-2-211112-20011-2-2-1-122-1-1110000-2-200001111000011-1-12-200-1-1110000200-1-100000000
χ3222222-12-2-2-1-122222-12-12-1-1-122-1-1-1-12-2-211-2-2-2-222-1-1-1-11111-2-21111-220011-2-2-1-12211-1-10000220000-1-1-1-1000011-1-1-220011-1-10000-2001100000000
χ332222-122222222-1-1-122-1-12-1-1-1-1222-1-1-1-122220000-1-1-1-122-1-1-1-1-1-1-1-122220000000022222222000022000000000000-1-1-1-1-1-1-1-1-1-1-1-10020000-1-1-1-100
χ342222-122222222-1-1-122-1-12-1-1-1-1222-1-1-1-122220000-1-1-1-122-1-1-1-1-1-1-1-122-2-2000000002222-2-2-2-20000-2-2000000000000-1-111-1-1-1-1111100-20000111100
χ352222-122222222-1-1-122-1-12-1-1-1-1222-1-1-1-122220000-1-1-1-122-1-1-1-1-1-1-1-1-2-22200000000-2-2-2-222220000-2-200000000000011-1-11111-1-1-1-100-20000111100
χ362222-122222222-1-1-122-1-12-1-1-1-1222-1-1-1-122220000-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-200000000-2-2-2-2-2-2-2-20000220000000000001111111111110020000-1-1-1-100
χ372222-122-2-22222-1-1-122-1-12-1-1-1-1222-1-111-2-2-2-20000-1-1-1-1-2-2111111112-22-20000000022-2-222-2-2000022000000000000-11-11-1-111-1-11100-20000-1-11100
χ382222-122-2-22222-1-1-122-1-12-1-1-1-1222-1-111-2-2-2-20000-1-1-1-1-2-2111111112-2-220000000022-2-2-2-2220000-2-2000000000000-111-1-1-11111-1-1002000011-1-100
χ392222-122-2-22222-1-1-122-1-12-1-1-1-1222-1-111-2-2-2-20000-1-1-1-1-2-211111111-222-200000000-2-22222-2-20000-2-20000000000001-1-1111-1-1-1-111002000011-1-100
χ402222-122-2-22222-1-1-122-1-12-1-1-1-1222-1-111-2-2-2-20000-1-1-1-1-2-211111111-22-2200000000-2-222-2-2220000220000000000001-11-111-1-111-1-100-20000-1-11100
χ412-22-22222-2-2-2-2-2-2-2222222-2-2-2-2-2-22222-22-22-22-22-22-2-222-22-22-222-2-200002-22-22-22-200000000000000000000002-22-20000000000000000000000000
χ422-22-22222-2-2-2-2-2-2-2222222-2-2-2-2-2-22222-22-22-2-22-222-2-222-22-22-222-2-20000-22-22-22-220000000000000000000000-22-220000000000000000000000000
χ432-22-2222-22-2-2-2-2-2-2222222-2-2-2-2-2-2222-22-22-222-2-222-2-22-22-22-22-2-22200002-22-2-22-2200000000000000000000002-2-220000000000000000000000000
χ442-22-2222-22-2-2-2-2-2-2222222-2-2-2-2-2-2222-22-22-22-222-22-2-22-22-22-22-2-2220000-22-222-22-20000000000000000000000-222-20000000000000000000000000
χ452-22-222-12-2-2-211-2-222-12-1-1-2-21111-12-12-22-2-112-22-2-111-1-112-2-11-1-11100002-2-112-2-110000−i3i3−i3i30000000000−i3−i3i3i3-11-1100000000−i3i3−i3i300000−i3i3000000
χ462-22-222-12-2-2-211-2-222-12-1-1-2-21111-12-12-22-2-112-22-2-111-1-112-2-11-1-11100002-2-112-2-110000i3−i3i3−i30000000000i3i3−i3−i3-11-1100000000i3−i3i3−i300000i3−i3000000
χ472-22-222-12-2-2-211-2-222-12-1-1-2-21111-12-12-22-2-11-22-22-111-1-112-2-11-1-1110000-221-1-221-10000−i3i3−i3i30000000000i3i3−i3−i31-11-100000000−i3i3−i3i300000i3−i3000000
χ482-22-222-12-2-2-211-2-222-12-1-1-2-21111-12-12-22-2-11-22-22-111-1-112-2-11-1-1110000-221-1-221-10000i3−i3i3−i30000000000−i3−i3i3i31-11-100000000i3−i3i3−i300000−i3i3000000
χ492-22-222-1-22-2-211-2-222-12-1-1-2-21111-12-1-22-221-12-2-22-111-11-1-221-111-1-100002-2-11-221-10000−i3i3i3−i30000000000−i3−i3i3i3-111-100000000−i3i3i3−i300000i3−i3000000
χ502-22-222-1-22-2-211-2-222-12-1-1-2-21111-12-1-22-221-12-2-22-111-11-1-221-111-1-100002-2-11-221-10000i3−i3−i3i30000000000i3i3−i3−i3-111-100000000i3−i3−i3i300000−i3i3000000
χ512-22-222-1-22-2-211-2-222-12-1-1-2-21111-12-1-22-221-1-222-2-111-11-1-221-111-1-10000-221-12-2-110000−i3i3i3−i30000000000i3i3−i3−i31-1-1100000000−i3i3i3−i300000−i3i3000000
χ522-22-222-1-22-2-211-2-222-12-1-1-2-21111-12-1-22-221-1-222-2-111-11-1-221-111-1-10000-221-12-2-110000i3−i3−i3i30000000000−i3−i3i3i31-1-1100000000i3−i3−i3i300000i3−i3000000
χ532-22-22-122-211-2-2-2-22-12-12-111-2-211-1-122-2-112-22-22-2-111-1-11-112-2-1-1110000-112-2-112-2−i3i3−i3i30000000000−i3−i3i3i30000-11-110000−i3i3−i3i30000000−i3i300000000
χ542-22-22-122-211-2-2-2-22-12-12-111-2-211-1-122-2-112-22-22-2-111-1-11-112-2-1-1110000-112-2-112-2i3−i3i3−i30000000000i3i3−i3−i30000-11-110000i3−i3i3−i30000000i3−i300000000
χ552-22-22-122-211-2-2-2-22-12-12-111-2-211-1-122-2-112-2-22-22-111-1-11-112-2-1-11100001-1-221-1-22−i3i3−i3i30000000000i3i3−i3−i300001-11-10000−i3i3−i3i30000000i3−i300000000
χ562-22-22-122-211-2-2-2-22-12-12-111-2-211-1-122-2-112-2-22-22-111-1-11-112-2-1-11100001-1-221-1-22i3−i3i3−i30000000000−i3−i3i3i300001-11-10000i3−i3i3−i30000000−i3i300000000
χ572-22-22-12-2211-2-2-2-22-12-12-111-2-211-1-12-221-1-222-2-22-111-11-11-1-2211-1-10000-112-21-1-22−i3i3i3−i30000000000−i3−i3i3i30000-111-10000−i3i3i3−i30000000i3−i300000000
χ582-22-22-12-2211-2-2-2-22-12-12-111-2-211-1-12-221-1-222-2-22-111-11-11-1-2211-1-10000-112-21-1-22i3−i3−i3i30000000000i3i3−i3−i30000-111-10000i3−i3−i3i30000000−i3i300000000
χ592-22-22-12-2211-2-2-2-22-12-12-111-2-211-1-12-221-1-22-222-2-111-11-11-1-2211-1-100001-1-22-112-2−i3i3i3−i30000000000i3i3−i3−i300001-1-110000−i3i3i3−i30000000−i3i300000000
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χ734444-2-2444-2-244-2-2-2-241-2-211-2-2-2-2-21-2-2-2-2-24400001111-2-211-2-21111440000000000-2-2-2-20000000000000000000000-2-200111100000000000000000
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χ844-44-44-2-24-42222-4-44-2-2-2-212222-1-11-2-24-4-22-224-44-41-1-111-1-22-2211-1-10000-22-22-22-2200000000000000000000001-11-10000000000000000000000000
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χ914-44-4-24-24-4-4-42222-24-2-21-222-1-122-2-21-224-4-2200001-1-11-22-221-111-1-100000000000000002i3−2i32i3−2i300000000000000000000000000−i3i3−i3i30000000000000
χ924-44-4-24-2-44-4-42222-24-2-21-222-1-122-2-212-2-442-200001-1-112-22-2-11-1-1110000000000000000−2i32i32i3−2i300000000000000000000000000i3−i3−i3i30000000000000
χ934-44-4-24-2-44-4-42222-24-2-21-222-1-122-2-212-2-442-200001-1-112-22-2-11-1-11100000000000000002i3−2i3−2i32i300000000000000000000000000−i3i3i3−i30000000000000
χ944-44-4-2-244-422-4-422-2-241-2-2-1-12222-21-2-22-224-400001-1-11-221-1-2211-1-1000000000000−2i32i3−2i32i300000000000000000000000000i3−i3i3−i300000000000000000
χ954-44-4-2-244-422-4-422-2-241-2-2-1-12222-21-2-22-224-400001-1-11-221-1-2211-1-10000000000002i3−2i32i3−2i300000000000000000000000000−i3i3−i3i300000000000000000
χ964-44-4-2-24-4422-4-422-2-241-2-2-1-12222-21-22-22-2-4400001-1-112-2-112-2-1-111000000000000−2i32i32i3−2i300000000000000000000000000i3−i3−i3i300000000000000000
χ974-44-4-2-24-4422-4-422-2-241-2-2-1-12222-21-22-22-2-4400001-1-112-2-112-2-1-1110000000000002i3−2i3−2i32i300000000000000000000000000−i3i3i3−i300000000000000000
χ984-4-4444-2004-4-224-4-4-424-2-24-4-22-222-420000000000-2-222000000000000000000000000000000004i−4i000000−2i2i−2i2i00000000000000000000000000000
χ994-4-4444-2004-4-224-4-4-424-2-24-4-22-222-420000000000-2-22200000000000000000000000000000000−4i4i0000002i−2i2i−2i00000000000000000000000000000
χ1004-4-444-2400-224-44-4-42-4-24-2-224-4-2222-40000000000-2-2220000000000000000000000000000004i−4i0000−2i2i−2i2i000000000000000000000000000000000
χ1014-4-444-2400-224-44-4-42-4-24-2-224-4-2222-40000000000-2-222000000000000000000000000000000−4i4i00002i−2i2i−2i000000000000000000000000000000000
χ1024-4-44-244004-44-4-222-4-4-2-24-22-224-4-4220000000000-2-22200000000000000000000000000000000004-40000000000000000000000000000000-220000
χ1034-4-44-244004-44-4-222-4-4-2-24-22-224-4-4220000000000-2-2220000000000000000000000000000000000-4400000000000000000000000000000002-20000
χ1048888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-40000-1-1-1-1222222-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1058888-4-4-4-8-8-4-4-4-4-4-4-4-4-42222222222224444440000-1-1-1-1-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000000
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χ10788-8-8-48-400-884-44-44-84-42-44-4-224-444-200000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
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χ10988-8-8-4-4-4004-44-44-4444222-22-22-22-2-2-20000000000-11-1100000033−3333−33000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4004-44-44-4444222-22-22-22-2-2-20000000000-11-11000000−3333−3333000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-48-8444444-4-4-4222-2-2-2-2-2-2222-44-44-440000-111-12-22-22-2-1-111000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4-88444444-4-4-4222-2-2-2-2-2-22224-44-44-40000-111-1-22-22-2211-1-1000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-4-400-44-448-8-844-4-42-44-442-2-244000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-48-4008-8-44-444-84-42-4-442-2-4444-2000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-4800-448-8-4444-82-4-42-2-44-444-24000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-400-44-44-444442222-22-22-2-2-2-20000000000-1-11100000033−33−3333000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-400-44-44-444442222-22-22-2-2-2-20000000000-1-111000000−333333−33000000000000000000000000000000000000000000000000000000000000000

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