Finite Group Databasebeta

← Group #11723954

Character table — Group #11723954

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size122222222222222712222222222222272444444444444454244444444444445424444444444444544888888888888810848888888888888108
order1333333333333322666666666666624121212121212121212121212124824242424242424242424242424882424242424242424242424242482666666666666624121212121212121212121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-111111111111111-111111111111111-111111111111111-111111111111111-111111111111111-111111111111111-1
χ322222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-10
χ422-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-10
χ522-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-10
χ622-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-12220
χ72-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-10
χ82-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-10
χ92-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-120
χ102-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-120
χ112-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-10
χ122-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-10
χ132-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-10
χ142-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-120
χ152-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-10
χ16111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1711111111111111-111111111111111-111111111111111-111111111111111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11
χ1822222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-10-2-2-2-2-21111111110-2-2-2-2-21111111110
χ1922-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-10-2-2111-2-2-21111110-2-2111-2-2-21111110
χ2022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-10-2-2111111-2-2-21110-2-2111111-2-2-21110
χ2122-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-12220-2-2111111111-2-2-20-2-2111111111-2-2-20
χ222-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-10-21-211-211-211-2110-21-211-211-211-2110
χ232-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-10-21-2111-211-211-210-21-2111-211-211-210
χ242-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-120-21-21111-211-211-20-21-21111-211-211-20
χ252-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-120-211-21-2111-2111-20-211-21-2111-2111-20
χ262-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-10-211-211-2111-2-2110-211-211-2111-2-2110
χ272-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-10-211-2111-2-2111-210-211-2111-2-2111-210
χ282-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-10-2111-2-21111-21-210-2111-2-21111-21-210
χ292-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-120-2111-21-21-21111-20-2111-21-21-21111-20
χ302-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-10-2111-211-21-21-2110-2111-211-21-21-2110
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3211111111111111-111111111111111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11
χ3322222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-10-2-2-2-2-21111111110-2-2-2-2-2111111111022222-1-1-1-1-1-1-1-1-10-2-2-2-2-21111111110
χ3422-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-10-2-2111-2-2-21111110-2-2111-2-2-2111111022-1-1-1222-1-1-1-1-1-10-2-2111-2-2-21111110
χ3522-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-10-2-2111111-2-2-21110-2-2111111-2-2-2111022-1-1-1-1-1-1222-1-1-10-2-2111111-2-2-21110
χ3622-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-12220-2-2111111111-2-2-20-2-2111111111-2-2-2022-1-1-1-1-1-1-1-1-12220-2-2111111111-2-2-20
χ372-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-10-21-211-211-211-2110-21-211-211-211-21102-12-1-12-1-12-1-12-1-10-21-211-211-211-2110
χ382-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-10-21-2111-211-211-210-21-2111-211-211-2102-12-1-1-12-1-12-1-12-10-21-2111-211-211-210
χ392-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-120-21-21111-211-211-20-21-21111-211-211-202-12-1-1-1-12-1-12-1-120-21-21111-211-211-20
χ402-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-120-211-21-2111-2111-20-211-21-2111-2111-202-1-12-12-1-1-12-1-1-120-211-21-2111-2111-20
χ412-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-10-211-211-2111-2-2110-211-211-2111-2-21102-1-12-1-12-1-1-122-1-10-211-211-2111-2-2110
χ422-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-10-211-2111-2-2111-210-211-2111-2-2111-2102-1-12-1-1-122-1-1-12-10-211-2111-2-2111-210
χ432-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-10-2111-2-21111-21-210-2111-2-21111-21-2102-1-1-122-1-1-1-12-12-10-2111-2-21111-21-210
χ442-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-120-2111-21-21-21111-20-2111-21-21-21111-202-1-1-12-12-12-1-1-1-120-2111-21-21-21111-20
χ452-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-10-2111-211-21-21-2110-2111-211-21-21-21102-1-1-12-1-12-12-12-1-10-2111-211-21-21-2110
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111
χ4711111111111111-111111111111111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1
χ4822222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-1022222-1-1-1-1-1-1-1-1-10-2-2-2-2-21111111110-2-2-2-2-21111111110-2-2-2-2-2111111111022222-1-1-1-1-1-1-1-1-10
χ4922-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-1022-1-1-1222-1-1-1-1-1-10-2-2111-2-2-21111110-2-2111-2-2-21111110-2-2111-2-2-2111111022-1-1-1222-1-1-1-1-1-10
χ5022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-1022-1-1-1-1-1-1222-1-1-10-2-2111111-2-2-21110-2-2111111-2-2-21110-2-2111111-2-2-2111022-1-1-1-1-1-1222-1-1-10
χ5122-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-12220-2-2111111111-2-2-20-2-2111111111-2-2-20-2-2111111111-2-2-2022-1-1-1-1-1-1-1-1-12220
χ522-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-102-12-1-12-1-12-1-12-1-10-21-211-211-211-2110-21-211-211-211-2110-21-211-211-211-21102-12-1-12-1-12-1-12-1-10
χ532-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-102-12-1-1-12-1-12-1-12-10-21-2111-211-211-210-21-2111-211-211-210-21-2111-211-211-2102-12-1-1-12-1-12-1-12-10
χ542-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-1202-12-1-1-1-12-1-12-1-120-21-21111-211-211-20-21-21111-211-211-20-21-21111-211-211-202-12-1-1-1-12-1-12-1-120
χ552-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-1202-1-12-12-1-1-12-1-1-120-211-21-2111-2111-20-211-21-2111-2111-20-211-21-2111-2111-202-1-12-12-1-1-12-1-1-120
χ562-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-102-1-12-1-12-1-1-122-1-10-211-211-2111-2-2110-211-211-2111-2-2110-211-211-2111-2-21102-1-12-1-12-1-1-122-1-10
χ572-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-102-1-12-1-1-122-1-1-12-10-211-2111-2-2111-210-211-2111-2-2111-210-211-2111-2-2111-2102-1-12-1-1-122-1-1-12-10
χ582-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-102-1-1-122-1-1-1-12-12-10-2111-2-21111-21-210-2111-2-21111-21-210-2111-2-21111-21-2102-1-1-122-1-1-1-12-12-10
χ592-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-1202-1-1-12-12-12-1-1-1-120-2111-21-21-21111-20-2111-21-21-21111-20-2111-21-21-21111-202-1-1-12-12-12-1-1-1-120
χ602-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-102-1-1-12-1-12-12-12-1-10-2111-211-21-21-2110-2111-211-21-21-2110-2111-211-21-21-21102-1-1-12-1-12-12-12-1-10
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χ1054-2-2-24-2-24-24-24-2-20-4222-422-42-42-4220000000000000000−2i2i2i2i2−2i2i2i2−2i2i2−2i2i2−2i2i2i202i2−i2−i2−i22i2−i2−i22i2−i22i2−i22i2−i2−i20000000000000000000000000000000

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