Finite Group Databasebeta

← Group #13152077

Character table — Group #13152077

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222446666666666661212121212121212121218181818181818181818181836363636363636363636363611112222224466666666666612121212121212121212181818181818181818181818363636363636363636363636
order12222236666633666666666636666666662222666666662444661212121212122222226666666666666666666666666666222266666666244466121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ51111-1-11111-1-11111111-1-1-1-111-1-1111-1-1-1-111-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-11111-1-11111111-1-1-1-111-1-1111-1-1-1-111-1-11111-1-1-1-11-11-11111-1-1-1-1
χ61111-1-11111-1-11111111-1-1-1-111-1-1111-1-1-1-111-1-11111-1-1-1-1-11-11-1-1-1-111111111-1-11111-1-11111111-1-1-1-111-1-1111-1-1-1-111-1-11111-1-1-1-1-11-11-1-1-1-11111
χ71111-1-11111-1-11111111-1-1-1-111-1-1111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-111-1-11111-1-11111-1-11111111-1-1-1-111-1-1111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-111-1-1
χ81111-1-11111-1-11111111-1-1-1-111-1-1111-1-1-1-1-1-111-1-1-1-11111-111-1-1-111-1-1111111-1-11111-1-11111111-1-1-1-111-1-1111-1-1-1-1-1-111-1-1-1-11111-111-1-1-111-1-111
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χ102222222222222-122-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-2-2-2-2111111110000000000002222222222222-122-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ11222222222222-12-1-12222222-1-1-1-1-1-1-1-1-1-1-10000000000002200-1-10000-1-1222222222222-12-1-12222222-1-1-1-1-1-1-1-1-1-1-10000000000002200-1-10000-1-1
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χ631111-1-11111-1-11111111-1-1-1-111-1-1111-1-1-1-111-1-11111-1-1-1-11-11-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-1-11111-1-111-1-1-1-11111-11-11-1-1-1-11111
χ641111-1-11111-1-11111111-1-1-1-111-1-1111-1-1-1-111-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-1-11111-1-111-1-1-1-111111-11-11111-1-1-1-1
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χ812-22-2002-2-220022-22-22-20000-2200-22-200002-2002-22-20000000000000000-22-2200-222-200-2-22-22-2200002-2002-220000-2200-22-220000000000000000
χ822-22-2002-2-220022-22-22-20000-2200-22-20000-2200-22-220000000000000000-22-2200-222-200-2-22-22-2200002-2002-2200002-2002-22-20000000000000000
χ832-22-2002-2-22002-1-221-11−i3i3−i3i3-2-1001-11−i3i3−i3i32-200-11-11−i3i3−i3i3000000000000-22-2200-222-200-212-2-11-1i3−i3i3−i32100-11-1i3−i3i3−i3-22001-11-1i3−i3i3−i3000000000000
χ842-22-2002-2-22002-1-221-11−i3i3−i3i3-2-1001-11−i3i3−i3i3-22001-11-1i3−i3i3−i3000000000000-22-2200-222-200-212-2-11-1i3−i3i3−i32100-11-1i3−i3i3−i32-200-11-11−i3i3−i3i3000000000000
χ852-22-2002-2-22002-1-221-11i3−i3i3−i3-2-1001-11i3−i3i3−i32-200-11-11i3−i3i3−i3000000000000-22-2200-222-200-212-2-11-1−i3i3−i3i32100-11-1−i3i3−i3i3-22001-11-1−i3i3−i3i3000000000000
χ862-22-2002-2-22002-1-221-11i3−i3i3−i3-2-1001-11i3−i3i3−i3-22001-11-1−i3i3−i3i3000000000000-22-2200-222-200-212-2-11-1−i3i3−i3i32100-11-1−i3i3−i3i32-200-11-11i3−i3i3−i3000000000000
χ872-2-222-222-2-22-222-2-2-2-222-2-22222-2-2-222-2-22000000000000000000000000-222-2-22-2-222-22-2-22222-2-222-2-2-2-2222-2-222-2000000000000000000000000
χ882-2-222-222-2-22-22-1-2-211-1-111-12-12-211-1-111-10000−i3i3i3−i3−i3i3i3−i3000000000000-222-2-22-2-222-22-2122-1-111-1-11-21-22-1-111-1-110000i3−i3−i3i3i3−i3−i3i3000000000000
χ892-2-222-222-2-22-22-1-2-211-1-111-12-12-211-1-111-10000i3−i3−i3i3i3−i3−i3i3000000000000-222-2-22-2-222-22-2122-1-111-1-11-21-22-1-111-1-110000−i3i3i3−i3−i3i3i3−i3000000000000
χ902-2-222-222-2-22-2-1211-2-222-2-22-1-1-1111-1-111-10000000000000000−i3i30000−i3i3-222-2-22-2-222-221-2-1-122-2-222-2111-1-1-111-1-110000000000000000i3−i30000i3−i3
χ912-2-222-222-2-22-2-1211-2-222-2-22-1-1-1111-1-111-10000000000000000i3−i30000i3−i3-222-2-22-2-222-221-2-1-122-2-222-2111-1-1-111-1-110000000000000000−i3i30000−i3i3
χ922-2-22-2222-2-2-2222-2-2-2-22-222-222-22-2-22-222-2000000000000000000000000-222-22-2-2-2222-2-2-22222-22-2-22-2-22-222-22-2-22000000000000000000000000
χ932-2-22-2222-2-2-222-1-2-211-11-1-112-1-2211-11-1-110000−i3i3i3−i3i3−i3−i3i3000000000000-222-22-2-2-2222-2-2122-1-11-111-1-212-2-1-11-111-10000i3−i3−i3i3−i3i3i3−i3000000000000
χ942-2-22-2222-2-2-222-1-2-211-11-1-112-1-2211-11-1-110000i3−i3−i3i3−i3i3i3−i3000000000000-222-22-2-2-2222-2-2122-1-11-111-1-212-2-1-11-111-10000−i3i3i3−i3i3−i3−i3i3000000000000
χ952-2-22-2222-2-2-22-1211-2-22-222-2-1-11-111-11-1-110000000000000000−i3i30000i3−i3-222-22-2-2-2222-21-2-1-122-22-2-2211-11-1-11-111-10000000000000000i3−i30000−i3i3
χ962-2-22-2222-2-2-22-1211-2-22-222-2-1-11-111-11-1-110000000000000000i3−i30000−i3i3-222-22-2-2-2222-21-2-1-122-22-2-2211-11-1-11-111-10000000000000000−i3i30000i3−i3
χ97444444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-21111111000000000000000000000000-4-4-4-4-4-4-4-4-4-4-4-4222222222222-122-1-1-1-1-1-1-1000000000000000000000000
χ984444-4-44444-4-4-2-2-2-2-2-2-22222-2122111-1-1-1-1000000000000000000000000-4-4-4-444-4-4-4-4442222222-2-2-2-22-1-2-2-1-1-11111000000000000000000000000
χ9944-4-4004-44-400-24-224-4-400002-200-2220000000000000000000000000000-4-44400-44-44002-42-2-4440000-22002-2-20000000000000000000000000000
χ10044-4-4004-44-400-2-2-22-222−2i3−2i32i32i321001-1-1i3i3−i3−i3000000000000000000000000-4-44400-44-4400222-22-2-22i32i3−2i3−2i3-2-100-111−i3−i3i3i3000000000000000000000000
χ10144-4-4004-44-400-2-2-22-2222i32i3−2i3−2i321001-1-1−i3−i3i3i3000000000000000000000000-4-44400-44-4400222-22-2-2−2i3−2i32i32i3-2-100-111i3i3−i3−i3000000000000000000000000
χ1024-44-4004-4-4400-242-2-44-400002-2002-220000000000000000000000000000-44-4400-444-4002-4-224-440000-2200-22-20000000000000000000000000000
χ1034-44-4004-4-4400-2-22-22-22−2i32i3−2i32i32100-11-1i3−i3i3−i3000000000000000000000000-44-4400-444-40022-22-22-22i3−2i32i3−2i3-2-1001-11−i3i3−i3i3000000000000000000000000
χ1044-44-4004-4-4400-2-22-22-222i3−2i32i3−2i32100-11-1−i3i3−i3i3000000000000000000000000-44-4400-444-40022-22-22-2−2i32i3−2i32i3-2-1001-11i3−i3i3−i3000000000000000000000000
χ1054-4-444-444-4-44-4-2-22222-2-222-2-21-22-1-111-1-11000000000000000000000000-444-4-44-4-444-4422-2-2-2-222-2-222-12-211-1-111-1000000000000000000000000
χ1064-4-44-4444-4-4-44-2-22222-22-2-22-212-2-1-11-111-1000000000000000000000000-444-44-4-4-4444-422-2-2-2-22-222-22-1-2211-11-1-11000000000000000000000000
χ107666666-3-3-3-3-3-30000000000000000000000000000000000002200-1-1-1-100-6-6-6-6-6-6333333000000000000000000000000000000000000-2-200111100
χ108666666-3-3-3-3-3-3000000000000000000000000000000000000-2-200111100-6-6-6-6-6-63333330000000000000000000000000000000000002200-1-1-1-100
χ1096666-6-6-3-3-3-3330000000000000000000000000000000000002-200-1-11100-6-6-6-6663333-3-3000000000000000000000000000000000000-220011-1-100
χ1106666-6-6-3-3-3-333000000000000000000000000000000000000-220011-1-100-6-6-6-6663333-3-30000000000000000000000000000000000002-200-1-11100
χ1116-6-666-6-3-333-3300000000000000000000000000000000000000003−33−300-666-6-6633-3-33-30000000000000000000000000000000000000000−33−3300
χ1126-6-666-6-3-333-330000000000000000000000000000000000000000−33−3300-666-6-6633-3-33-300000000000000000000000000000000000000003−33−300
χ1136-6-66-66-3-3333-300000000000000000000000000000000000000003−3−3300-666-66-633-3-3-330000000000000000000000000000000000000000−333−300
χ1146-6-66-66-3-3333-30000000000000000000000000000000000000000−333−300-666-66-633-3-3-3300000000000000000000000000000000000000003−3−3300
χ1151212-12-1200-66-66000000000000000000000000000000000000000000000000-12-121212006-66-6000000000000000000000000000000000000000000000000
χ11612-1212-1200-666-6000000000000000000000000000000000000000000000000-1212-1212006-6-66000000000000000000000000000000000000000000000000

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