Finite Group Databasebeta

← Group #13168240

Character table — Group #13168240

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order12223336666666663334666666666121244366612121212121212121212121244444121212121212121222444444121212121212121212121212121212121212121244661212121212124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1111111111-1-1-1-11-111-1-1-1-1-1-1-1-1-11-1
χ311111111111111111111111111111111111111111111111111-1-111111111-1-1-1-111-1-1-1-111-1-1111-11111-1-1-1-11111-11-1-111-1-1-1-1-1-11-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111-1-11111111111111111-11111-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111-1-11111111111111111-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-11-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1111-11
χ71111111111111111111111111111111-1-11111111111111111-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-111-111
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
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111111111111-1-1-1-11-11-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111111-1-1-1-111-1-11-1-111-111-1-111-1-1-1-111-1111-1-1-1-111111-1-1
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-111-1-111-1-1-111-1-1111-1-1-1-11111-1-11-1-1-111-1-11111-11-1
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1-1-111-1-1-1-1-11-111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-111-1-111-1-1-1-111-1-1111-11-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-11111-1
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-111-1-111-1-111111-1-111-1-1-11111-1-1-1-1111-1-1-111-1-111-1-1-111
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-111-1-1-1-11111-111-1-11-1-111-1-11111-1-1-1111-1-1-1-111-1-11-11
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-1-1-1-1-1-1111111-1-111-11-1111-1-111-1-111-1-111-1-1111111-1-111-1-1-1
χ17222222-1-122-12222-12-1-122-1-12-1-1-12-12222-1-1-1-1-1222-1-1-1-1-1-1-1-1222002200-1-1-1-122000000-1222000-1-1-1-1-1-1-1-1-1000020-1-1000000000-10
χ18222222-1-122-12222-12-1-122-1-12-1-1-12-12222-1-1-1-1-1222-1-1-1-1-1-1-1-12-2-2002200-1-111-2-2000000-12-2-20001-1-1-1-111110000-201100000000010
χ19222222-1-122-12222-12-1-122-1-12-1-1-12-122-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-22200-2-20011-1-1-2-20000001-222000-11111-1-1-1-10000-201100000000010
χ20222222-1-122-12222-12-1-122-1-12-1-1-12-122-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-200-2-2001111220000001-2-2-2000111111111000020-1-1000000000-10
χ21222222-1-122-12222-12-1-1-22-1-12-1-1-12-1-2-222-1-1-1-11-2-2-211111111-22-2002200-1-1-1-1220000001-22-20001-1-111-1-1110000-20-1-100000000010
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χ23222222-1-122-12222-12-1-1-22-1-12-1-1-12-1-2-2-2-2-1-1-1-11-2-2-21111111122-200-2-20011-1-1-2-2000000-122-2000111-1-1-1-11100002011000000000-10
χ24222222-1-122-12222-12-1-1-22-1-12-1-1-12-1-2-2-2-2-1-1-1-11-2-2-2111111112-2200-2-200111122000000-12-22000-111-1-111-1-10000-20-1-100000000010
χ2522222-1222-12-122-12-12-12-12-1-12-1-1-122222-1-1-1-12-1-1-122-1-1-1-1-1-120022-1-1-1-12200002200002-10022-10-1-1-1-10000-1-1-1-10200-1-1000000-100
χ2622222-1222-12-122-12-12-12-12-1-12-1-1-122222-1-1-1-12-1-1-122-1-1-1-1-1-1200-2-2-1-111220000-2-200002-100-2-210-1-1-1-1000011110-20011000000100
χ2722222-1222-12-122-12-12-12-12-1-12-1-1-1222-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-2002211-1-1-2-20000-2-20000-210022-1011110000-1-1-1-10-20011000000100
χ2822222-1222-12-122-12-12-12-12-1-12-1-1-1222-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-200-2-21111-2-20000220000-2100-2-2101111000011110200-1-1000000-100
χ2922222-1222-12-122-12-12-1-2-12-1-12-1-1-12-2-222-1-1-1-1-2111-2-2111111-2002-2-1-1-1-1220000220000-21002-210-1-1110000-1-1110-200-1-1000000100
χ3022222-1222-12-122-12-12-1-2-12-1-12-1-1-12-2-222-1-1-1-1-2111-2-2111111-200-22-1-111220000-2-20000-2100-22-10-1-111000011-1-1020011000000-100
χ3122222-1222-12-122-12-12-1-2-12-1-12-1-1-12-2-2-2-2-1-1-1-1-2111-2-21111112002-211-1-1-2-20000-2-200002-1002-21011-1-10000-1-111020011000000-100
χ3222222-1222-12-122-12-12-1-2-12-1-12-1-1-12-2-2-2-2-1-1-1-1-2111-2-2111111200-221111-2-200002200002-100-22-1011-1-1000011-1-10-200-1-1000000100
χ332222-1222-1222-1-122-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-102222002200220000222200-1-1-1-1220000-1-1-1-1-1-1-1-1000000-1-1-1-100000
χ342222-1222-1222-1-122-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-1022-2-200-2-200220000-2-2-2-200-1-111-220000-1-1-1-11111000000111100000
χ352222-1222-1222-1-122-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-10-2-222002200-2-20000-2-2-2-20011-1-12-200001111-1-1-1-1000000111100000
χ362222-1222-1222-1-122-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-10-2-2-2-200-2-200-2-200002222001111-2-2000011111111000000-1-1-1-100000
χ372222-1222-1222-1-122-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-2111102-22-200220022000022-2-200-11-11-2-20000-1-111-1-111000000-1-11100000
χ382222-1222-1222-1-122-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-2111102-2-2200-2-200220000-2-22200-111-12-20000-1-11111-1-100000011-1-100000
χ392222-1222-1222-1-122-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-211110-222-2002200-2-20000-2-222001-1-11-22000011-1-1-1-11100000011-1-100000
χ402222-1222-1222-1-122-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-211110-22-2200-2-200-2-2000022-2-2001-11-122000011-1-111-1-1000000-1-11100000
χ412-22-2222-2-22-2-22-2-2222202-2-2-2-22-2-22002-222-2-2000000000000000002-2002-2000000002i−2i000000002-20000000000000000002i−2i2i−2i000
χ422-22-2222-2-22-2-22-2-2222202-2-2-2-22-2-22002-222-2-2000000000000000002-2002-200000000−2i2i000000002-2000000000000000000−2i2i−2i2i000
χ432-22-2222-2-22-2-22-2-2222202-2-2-2-22-2-2200-2222-2-200000000000000000-2200-22000000002i−2i00000000-220000000000000000002i−2i−2i2i000
χ442-22-2222-2-22-2-22-2-2222202-2-2-2-22-2-2200-2222-2-200000000000000000-2200-2200000000−2i2i00000000-22000000000000000000−2i2i2i−2i000
χ452-2-222222-2-2-2-2-222-22220-222-2-2-2-22-200002-22-200000000000000000000000002-22i−2i2i−2i0000000000000000000000002-22i−2i2i−2i0000000
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χ1028-8-88-48-4-44-84-84-484-42-4042-44-244-4-200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-48844-844-4-4-82-4-40-2-4-4-24442400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-444444-4-442220-222-2-2-2-22-20000-11-110000000033−33−333300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-444444-4-442220-222-2-2-2-22-20000-11-1100000000−333333−3300000000000000000000000000000000000000000000000000000000

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