Finite Group Databasebeta

← Group #13169418

Character table — Group #13169418

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order122233366666666633346666666661212443666121212121212121212121212244441212121212121212444444446666121212121212121212121212121212124412121212121212124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-111111-111-1-1111111-1-1-1-11-1-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111111111111-1-111-1-1111111-1-111-1-1-1-11111-11-1-11111-1-1-1-11111-11-1-1-1-111-1-1-1-1-11-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11
χ51111111111111111111111111111111-1-11111111111111111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-111-1-1-1-111-1-1-1-1-1
χ61111111111111111111111111111111-1-11111111111111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-111-111
χ71111111111111111111111111111111-1-11111111111111111-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111111-1-1-111-1-1-1-1111-11
χ81111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111111111-1-111-1-1-1-1-1-11-11-11111-1-111-1-1-1-1111111-1-1-1-1-1-11
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111111-1-111-1-1-1-1-1-1-111-1-111111-1-1-1-111-11-1-111-1-11111-11-1
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-11111-1-1-1-1-1-11-1-111-111-1-11111-1-11-1-1-1-1-11111111-1-1
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-11-1111-1-111-1-1111111-1-1-1-1-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-11111-1-1-1-1-1-1-1-1-1-1111111-1-11-11-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-11111-1-11111-111-1-11-1-111-1-1-1-1111-1-1-1-1-11111-1-11-11
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-111-1-111-1-111111-1-111-1-1-1-1-11111-1-1-11-1-111-1-111-1-1-111
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-1-1-1-1-1-11111-1-111111111-11-11-1-1-1-111-1-111-1-1111111-1-111-1-1-1
χ17222222-122-122-12-122-1-122-1-12-1-1-12-12222-1-1-1-12-122-1-1-1-1-1-1-1-12002200-1-122-1-1002200002-1-1-10-10022-1-10000-1-1-1-1020000-1-100000-10
χ18222222-122-122-12-122-1-122-1-12-1-1-12-12222-1-1-1-12-122-1-1-1-1-1-1-1-1200-2-2001122-1-100-2-200002-1-1-10100-2-2-1-1000011110-20000110000010
χ19222222-122-122-12-122-1-122-1-12-1-1-12-122-2-2-1-1-1-12-122-1-1-1-1-1-1-1-1-2002200-1-1-2-21100-2-20000-21110-10022110000-1-1-1-10-20000110000010
χ20222222-122-122-12-122-1-122-1-12-1-1-12-122-2-2-1-1-1-12-122-1-1-1-1-1-1-1-1-200-2-20011-2-21100220000-21110100-2-21100001111020000-1-100000-10
χ21222222-122-122-12-122-1-1-22-1-12-1-1-12-1-2-222-1-1-1-1-21-2-211111111-2002-200-1-122-1-100220000-211101002-2-1-10000-1-1110-20000-1-10000010
χ22222222-122-122-12-122-1-1-22-1-12-1-1-12-1-2-222-1-1-1-1-21-2-211111111-200-22001122-1-100-2-20000-21110-100-22-1-1000011-1-10200001100000-10
χ23222222-122-122-12-122-1-1-22-1-12-1-1-12-1-2-2-2-2-1-1-1-1-21-2-2111111112002-200-1-1-2-21100-2-200002-1-1-101002-2110000-1-1110200001100000-10
χ24222222-122-122-12-122-1-1-22-1-12-1-1-12-1-2-2-2-2-1-1-1-1-21-2-211111111200-220011-2-211002200002-1-1-10-100-2211000011-1-10-20000-1-10000010
χ2522222-122-122-12-122-12-12-12-1-12-1-1-122222-1-1-1-1-12-1-122-1-1-1-1-1-122200-1-100-1-12222000000-12-1-1-102200-1-1-1-1-1-100002000-1-1000000-100
χ2622222-122-122-12-122-12-12-12-1-12-1-1-122222-1-1-1-1-12-1-122-1-1-1-1-1-12-2-2001100-1-122-2-2000000-12-1-110-2-200-1-111110000-200011000000100
χ2722222-122-122-12-122-12-12-12-1-12-1-1-1222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-22200-1-10011-2-2-2-20000001-211-10220011-1-1-1-10000-200011000000100
χ2822222-122-122-12-122-12-12-12-1-12-1-1-1222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-2-2-200110011-2-2220000001-21110-2-20011111100002000-1-1000000-100
χ2922222-122-122-12-122-12-1-2-12-1-12-1-1-12-2-222-1-1-1-11-211-2-2111111-22-200-1-100-1-122220000001-211102-200-1-1-1-1110000-2000-1-1000000100
χ3022222-122-122-12-122-12-1-2-12-1-12-1-1-12-2-222-1-1-1-11-211-2-2111111-2-22001100-1-122-2-20000001-211-10-2200-1-111-1-10000200011000000-100
χ3122222-122-122-12-122-12-1-2-12-1-12-1-1-12-2-2-2-2-1-1-1-11-211-2-211111122-200-1-10011-2-2-2-2000000-12-1-1102-20011-1-1110000200011000000-100
χ3222222-122-122-12-122-12-1-2-12-1-12-1-1-12-2-2-2-2-1-1-1-11-211-2-21111112-2200110011-2-222000000-12-1-1-10-22001111-1-10000-2000-1-1000000100
χ332222-122-122-12222-1-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-1022222222000000002222000022-1-1-1-100-1-1-1-1-1-1-1-100-1-10000-1-100000
χ342222-122-122-12222-1-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-1022-2-222-2-200000000-2-2-2-200002-2-1-11100-1-1-1-11111001100001100000
χ352222-122-122-12222-1-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-10-2-222-2-22200000000-2-2-2-20000-2211-1-1001111-1-1-1-1001100001100000
χ362222-122-122-12222-1-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-10-2-2-2-2-2-2-2-20000000022220000-2-21111001111111100-1-10000-1-100000
χ372222-122-122-12222-1-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-2111102-22-2222200000000-2-2220000-2-2-11-1100-1-111-1-11100-1-100001100000
χ382222-122-122-12222-1-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-2111102-2-2222-2-20000000022-2-20000-22-111-100-1-11111-1-100110000-1-100000
χ392222-122-122-12222-1-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-211110-222-2-2-2220000000022-2-200002-21-1-110011-1-1-1-11100110000-1-100000
χ402222-122-122-12222-1-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-211110-22-22-2-2-2-200000000-2-2220000221-11-10011-1-111-1-100-1-100001100000
χ412-22-2222-222-2-2-2-2-222220-2-22-2-2-2-222002i−2i22-2-20000000000000000000002i−2i2i−2i00002-20000000000002i−2i00000000000000002-22i−2i000
χ422-22-2222-222-2-2-2-2-222220-2-22-2-2-2-222002i−2i22-2-20000000000000000000002i−2i2i−2i0000-220000000000002i−2i0000000000000000-22−2i2i000
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χ452-2-22222-2-2-22-2-222-2222022-2-2-2-22-2-200002-22-200000000000000000000000002i−2i2i−2i002-200000000000000000000002-22i−2i2i−2i0000000
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χ1018-8-888-4-4-844844-4-4-8-4-420-4-4-244-224400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-44-84-4-848-44-42-40-4244-24-44-200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-4844-8-44-8-4842-4-402-44-244-4-2400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4444-444-4-44222022-2-2-2-22-2-20000-11-110000000033−33−333300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4444-444-4-44222022-2-2-2-22-2-20000-11-1100000000−333333−3300000000000000000000000000000000000000000000000000000000

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