Finite Group Databasebeta

← Group #13147912

Character table — Group #13147912

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222222222666666669999121212121212121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order122234444446661212121212121212121212123366666622223666121212121212121212121212121212121212121212121212444444666612121212121212121212121222224444666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ51111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-1
χ61111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11
χ71111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-111-1-11
χ81111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-111-1-111-1-111-1
χ911111-1-111-1-1111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1-11-111-11-1-11-11
χ1011111-1-111-1-1111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-111-11-1-11-111-11-1
χ1111111-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-11-111-11-1-11-111-1
χ1211111-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-111-11-1-11-111-11-1-11
χ1311111-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1411111-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1511111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111
χ1611111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ17222222222222222222222222222-122-1-12-10000-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022002200-1-100-1-1
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χ222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-122-1-12-10000-1-1-1-122-1-1-2-211-2-211-1-1-1-111111111000000000000000000000000-2200-22001-1001-1
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χ2522222-2-222-2-2222-2-2-2-22222-2-2-2-22-122-1-12-10000-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-111110000000000000000000000002-200-2200-11001-1
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χ2722222-2-222-2-2222-2-2-2-22222-2-2-2-2-12-1-122-120000-1-1-1-111-2-2-1-12211-2-21111-1-1-1-1111100000000000000000000002-200-2200-11001-100
χ2822222-2-222-2-2222-2-2-2-22222-2-2-2-2-12-1-122-120000-1-1-1-111-2-2-1-12211-2-21111-1-1-1-111110000000000000000000000-22002-2001-100-1100
χ2922222-2-2-2-222222-2-2-2-2-2-2-2-222222-122-1-12-10000-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-10000000000000000000000002200-2-200-1-10011
χ3022222-2-2-2-222222-2-2-2-2-2-2-2-222222-122-1-12-10000-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-1000000000000000000000000-2-20022001100-1-1
χ3122222-2-2-2-222222-2-2-2-2-2-2-2-22222-12-1-122-120000-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-100000000000000000000002200-2-200-1-1001100
χ3222222-2-2-2-222222-2-2-2-2-2-2-2-22222-12-1-122-120000-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-10000000000000000000000-2-20022001100-1-100
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χ976-6-66-300006-633-333−33−3333−333333−33-3-333000000002-2-22000000000000000000000000000000002-2-111-13−3−33−333−3-1-1110000000000000000
χ986-6-66-300006-633-333−33−3333−333333−33-3-33300000000-222-200000000000000000000000000000000-221-1-11−333−33−3−3311-1-10000000000000000
χ996-6-66-300006-633-3−333333−3333−33−3333-3-333000000002-2-22000000000000000000000000000000002-2-111-1−333−33−3−33-1-1110000000000000000
χ1006-6-66-300006-633-3−333333−3333−33−3333-3-33300000000-222-200000000000000000000000000000000-221-1-113−3−33−333−311-1-10000000000000000
χ1016-6-66-30000-6633-333−33−333333−33−333333-3-3000000002-2-2200000000000000000000000000000000-22-111-13−3−333−3−3311-1-10000000000000000
χ1026-6-66-30000-6633-333−33−333333−33−333333-3-300000000-222-2000000000000000000000000000000002-21-1-11−333−3−333−3-1-1110000000000000000
χ1036-6-66-30000-6633-3−333333−33−333333−3333-3-3000000002-2-2200000000000000000000000000000000-22-111-1−333−3−333−311-1-10000000000000000
χ1046-6-66-30000-6633-3−333333−33−333333−3333-3-300000000-222-2000000000000000000000000000000002-21-1-113−3−333−3−33-1-1110000000000000000

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