Finite Group Databasebeta

← Group #13178712

Character table — Group #13178712

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181836363636363636363636363636363636363636363636363672727272
order1222333446666666663333344666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244441212121224444444446612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111
χ511111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ711111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-111
χ811111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111111-1-1
χ91111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111111-11-11-11-11-11111-1-1-1-1-1-111-1-11-11-1
χ101111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-11-111-1-11-11-1-1-1-11111-1-111-1-1-11-11
χ111111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11-111-1-1111-1-111-1-111-1-1111-1-11
χ121111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11-111-1-1-111-1-11111-1-111-111-1
χ131111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111-1-11-11-111-11111-1-1-1-1-1-1-1-111-11-11
χ141111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-111-1-111-1-11-1-1-1-11111-1-1-1-1111-11-1
χ151111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11-11-11-1-11-1111-1-111-1-11111-1-1-111-1
χ161111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-11-111-11-11-1-1-111-1-1111111-1-11-1-11
χ17222222-122-12222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1222222-1-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000002200002200-1-10000-1-1000000-1-100
χ18222222-122-12222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1222222-1-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000-2-20000-2-200110000110000001100
χ19222222-122-12222-1-1222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-2-2-2-2-1-12211-2-222-1-1-1-1-1-1-1-1-2-211111111-2-21111111100000000220000-2-200-1-10000-1-10000001100
χ20222222-122-12222-1-1222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-2-2-2-2-1-12211-2-222-1-1-1-1-1-1-1-1-2-211111111-2-21111111100000000-2-20000220011000011000000-1-100
χ21222222-1-2-2-12222-1-1222-1-1-1-12-222-1-1-1-1-1-1-1-12-1-1-1-1-2-222-2-211-2-2-112-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111000000002-200002-200-1-1000011000000-1100
χ22222222-1-2-2-12222-1-1222-1-1-1-12-222-1-1-1-1-1-1-1-12-1-1-1-1-2-222-2-211-2-2-112-2-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100000000-220000-2200110000-1-10000001-100
χ23222222-1-2-2-12222-1-1222-1-1-1-1-2222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-22211-2-21-1-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-1000000002-20000-2200-1-10000110000001-100
χ24222222-1-2-2-12222-1-1222-1-1-1-1-2222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-22211-2-21-1-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-100000000-2200002-200110000-1-1000000-1100
χ2522222-1222222-1-122-12-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-122222222-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000002200002200-1-1-1-10000000000-1-1
χ2622222-1222222-1-122-12-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-122222222-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000-2-20000-2-2001111000000000011
χ2722222-1222222-1-122-12-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-122-2-2-2-222-1-1-2-211-1-122-1-1-1-1-1-111-2-211111111-2-21111110000000000220000-2-20011110000000000-1-1
χ2822222-1222222-1-122-12-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-122-2-2-2-222-1-1-2-211-1-122-1-1-1-1-1-111-2-211111111-2-21111110000000000-2-200002200-1-1-1-1000000000011
χ2922222-12-2-2222-1-122-12-12-1-1-12-2-1-122-1-1-1-1-1-1-12-1-1-1-2-222-2-2-2-2112-2-1111-2-2111111-1-122-1-1-1-1-1-111-2-211111100000000002-200002-200-1-1110000000000-11
χ3022222-12-2-2222-1-122-12-12-1-1-12-2-1-122-1-1-1-1-1-1-12-1-1-1-2-222-2-2-2-2112-2-1111-2-2111111-1-122-1-1-1-1-1-111-2-21111110000000000-220000-220011-1-100000000001-1
χ3122222-12-2-2222-1-122-12-12-1-1-1-22-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-222-2-211-221-111-2-211111111-2-2111111-1-122-1-1-1-1-1-100000000002-20000-220011-1-10000000000-11
χ3222222-12-2-2222-1-122-12-12-1-1-1-22-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-222-2-211-221-111-2-211111111-2-2111111-1-122-1-1-1-1-1-10000000000-2200002-200-1-11100000000001-1
χ332222-122222-1-122222-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1000022000000000000-1-1-1-1-1-10000
χ342222-122222-1-122222-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211110000-2-20000000000001111110000
χ352222-122222-1-122222-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-111112222-2-2-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-211112222-1-1-1-10000-2-2000000000000-1-111110000
χ362222-122222-1-122222-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-111112222-2-2-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-21111-2-2-2-2111100002200000000000011-1-1-1-10000
χ372222-122-2-22-1-122222-1-1-12-1-12-2-1-1-1-122-1-1-1-1-1-12-1-111-1-111-2-2-2-22-22-21111-2-21111-1-1-1-122-1-1-1-11111-2-2111122-2-2-1-1-1-100002-200000000000011-1-1110000
χ382222-122-2-22-1-122222-1-1-12-1-12-2-1-1-1-122-1-1-1-1-1-12-1-111-1-111-2-2-2-22-22-21111-2-21111-1-1-1-122-1-1-1-11111-2-21111-2-22211110000-22000000000000-1-111-1-10000
χ392222-122-2-22-1-122222-1-1-12-1-1-22-1-1-1-122-1-1-1-1-1-12-1-11111-1-1-2-2-2-2-22-221111-2-211111111-2-21111-1-1-1-122-1-1-1-122-2-2-1-1-1-10000-220000000000001111-1-10000
χ402222-122-2-22-1-122222-1-1-12-1-1-22-1-1-1-122-1-1-1-1-1-12-1-11111-1-1-2-2-2-2-22-221111-2-211111111-2-21111-1-1-1-122-1-1-1-1-2-222111100002-2000000000000-1-1-1-1110000
χ4122-2-22222-2-22-2-2-22-22-22222200-2-2-2-2-2-2-2-2-2-2222222-200002-22-200002-22-22-222-2-2000000000000000000002i−2i2i−2i2i2i−2i−2i0000000000000000002i−2i00000000
χ4222-2-22222-2-22-2-2-22-22-22222200-2-2-2-2-2-2-2-2-2-2222222-200002-22-200002-22-22-222-2-200000000000000000000−2i2i−2i2i−2i−2i2i2i000000000000000000−2i2i00000000
χ4322-2-2222-22-22-2-2-22-22-22222200-2-2-2-2-2-2-2-2-2-222222-220000-22-220000-22-22-22-2-222000000000000000000002i−2i−2i2i2i2i−2i−2i000000000000000000−2i2i00000000
χ4422-2-2222-22-22-2-2-22-22-22222200-2-2-2-2-2-2-2-2-2-222222-220000-22-220000-22-22-22-2-22200000000000000000000−2i2i2i−2i−2i−2i2i2i0000000000000000002i−2i00000000
χ4522-2-2-1222-2-2-11-2-22-221-1-12-1-1001111-2-21111-1-12-1-1-11−i3i3−i3i32-22-20000-11-112-2-1-111−i3i3−i3i300−i3−i3i3i3−i3i3−i3i300−i3−i3i3i32i−2i2i−2i−i−iii000000000000000000−ii3−33−30000
χ4622-2-2-1222-2-2-11-2-22-221-1-12-1-1001111-2-21111-1-12-1-1-11−i3i3−i3i32-22-20000-11-112-2-1-111−i3i3−i3i300−i3−i3i3i3−i3i3−i3i300−i3−i3i3i3−2i2i−2i2iii−i−i000000000000000000i−i−33−330000
χ4722-2-2-1222-2-2-11-2-22-221-1-12-1-1001111-2-21111-1-12-1-1-11i3−i3i3−i32-22-20000-11-112-2-1-111i3−i3i3−i300i3i3−i3−i3i3−i3i3−i300i3i3−i3−i32i−2i2i−2i−i−iii000000000000000000−ii−33−330000
χ4822-2-2-1222-2-2-11-2-22-221-1-12-1-1001111-2-21111-1-12-1-1-11i3−i3i3−i32-22-20000-11-112-2-1-111i3−i3i3−i300i3i3−i3−i3i3−i3i3−i300i3i3−i3−i3−2i2i−2i2iii−i−i000000000000000000i−i3−33−30000
χ4922-2-2-122-22-2-11-2-22-221-1-12-1-1001111-2-21111-1-12-1-11-1−i3i3i3−i3-22-2200001-11-1-2211-1-1−i3i3−i3i300−i3−i3i3i3i3−i3i3−i300i3i3−i3−i32i−2i−2i2i−i−iii000000000000000000i−i3−3−330000
χ5022-2-2-122-22-2-11-2-22-221-1-12-1-1001111-2-21111-1-12-1-11-1−i3i3i3−i3-22-2200001-11-1-2211-1-1−i3i3−i3i300−i3−i3i3i3i3−i3i3−i300i3i3−i3−i3−2i2i2i−2iii−i−i000000000000000000−ii−333−30000
χ5122-2-2-122-22-2-11-2-22-221-1-12-1-1001111-2-21111-1-12-1-11-1i3−i3−i3i3-22-2200001-11-1-2211-1-1i3−i3i3−i300i3i3−i3−i3−i3i3−i3i300−i3−i3i3i32i−2i−2i2i−i−iii000000000000000000i−i−333−30000
χ5222-2-2-122-22-2-11-2-22-221-1-12-1-1001111-2-21111-1-12-1-11-1i3−i3−i3i3-22-2200001-11-1-2211-1-1i3−i3i3−i300i3i3−i3−i3−i3i3−i3i300−i3−i3i3i3−2i2i2i−2iii−i−i000000000000000000−ii3−3−330000
χ5344444-2-244-244-2-2-2-2-24-2-211144-2-2-2-2111111-2-2111444444-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000
χ5444444-2-244-244-2-2-2-2-24-2-2111-4-4-2-2-2-2111111-2-211144-4-4-4-4-2-2-2-22222-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000
χ5544444-2-2-4-4-244-2-2-2-2-24-2-21114-4-2-2-2-2111111-2-2111-4-444-4-42222-22-222222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000
χ5644444-2-2-4-4-244-2-2-2-2-24-2-2111-44-2-2-2-2111111-2-2111-4-4-4-44422222-22-22222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000
χ574444-24-244-2-2-244-2-24-2-21-21144-2-211-2-21111-21-211-2-2-2-2-2-2-2-244-2-244-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000
χ584444-24-244-2-2-244-2-24-2-21-211-4-4-2-211-2-21111-21-211-2-22222-2-24422-4-4-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000
χ594444-24-2-4-4-2-2-244-2-24-2-21-2114-4-2-211-2-21111-21-21122-2-22222-4-4-224-422-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000
χ604444-24-2-4-4-2-2-244-2-24-2-21-211-44-2-211-2-21111-21-2112222-2-222-4-42-2-4422-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000
χ614444-2-24444-2-2-2-244-2-21-2-2114411-2-2-2-211111-2-211-2-2-2-2-2-244-2-244-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000
χ624444-2-24444-2-2-2-244-2-21-2-211-4-411-2-2-2-211111-2-211-2-2222244-2-2-4-42211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ634444-2-24-4-44-2-2-2-244-2-21-2-2114-411-2-2-2-211111-2-21122-2-222-4-4224-4-22-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000
χ644444-2-24-4-44-2-2-2-244-2-21-2-211-4411-2-2-2-211111-2-2112222-2-2-4-422-442-2-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000
χ654444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000
χ664444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-22222-2-2-2-22222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000
χ674444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3244111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000
χ684444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-22222-2-2-2-22222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000
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χ8744-4-4-2-24-44-4-22224-4-221-2-21100-1-12222-1-1-1-11-2-2112-2−2i32i32i3−2i3-442-20000-112-22-2-1-111i3−i3−2i32i300i3i3−i3−i3−i3i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000
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χ9544-4-4-2-2-2-442-2222-22-22111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322-2−2i32i32i3−2i32-22-20000-11-11-111−3i321+3i32−1+3i32−1−3i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).