Finite Group Databasebeta

← Group #13181686

Character table — Group #13181686

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1122222222222222244444444444444444444444444444444444444448888888888888888888888888888889918181818181818181818181818181818181818181818181818181836363636363636363636363636363636363636363636
order12222333444466612123333366666666666666121212121212121212121212121212121212121212666666666666666121212121212121212121212121212222222222222222224444444466121266666666666666612121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1
χ51111-11111-1-1-1111-1-11111111-11111-1-11111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1111-1-1-11-1-1-11-11-111-1-111-1111-1-1-1111-1-1-11-11-11-1-1
χ61111-11111-1-1-1111-1-11111111-11111-1-11111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11111-1-1-1-11-1111-1-111-1-1-1-1111-1-1-1111-11-111-1-1
χ71111-11111-1-1-1111-1-11111111-11111-1-11111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-11111-1-11-1-111-1-11111-1-1-1-1-1-11111-1-11-111
χ81111-11111-1-1-1111-1-11111111-11111-1-11111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1111-111-1-1-111-1-11-1-1-1111111-1-1-1-111-1-111
χ9111-11111-11-1-1111-1-1111111-1111-1-11111111-1-111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1111-1111-11-1-111-11-1-1-11-1-1-11-1111-1-11-1111-11-1-111-11-1-1-11-11-11-1
χ10111-11111-11-1-1111-1-1111111-1111-1-11111111-1-111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1111-11-1-11-111-1-11-111-11-1-11-11-111-1-11-11-1-11-111-1-11-1111-11-1-11-1
χ11111-11111-11-1-1111-1-1111111-1111-1-11111111-1-111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-1-1-11-111-11-1-1-1-11-1111-111-111-1-1-111-11-111-11-1-1-1-11-111-111-11-11
χ12111-11111-11-1-1111-1-1111111-1111-1-11111111-1-111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-11-11111-11-1-11-1111-1-11-1-111-11-1-1-11-11111-11-1-11-1-111-11
χ13111-1-1111-1-11111111111111-1-111-1-1-1-111111-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-111-1-1-1-111111-1-111-1-11111-1-111-1-1-1-1-1-11
χ14111-1-1111-1-11111111111111-1-111-1-1-1-111111-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111111111111-1-1-1-111-1-1-1-111-1-11111-1-11
χ15111-1-1111-1-11111111111111-1-111-1-1-1-111111-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1
χ16111-1-1111-1-11111111111111-1-111-1-1-1-111111-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1
χ1711-111111-1-11-1111-1-111111-111-1-1111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-1111-11-11-11-11-11-1-1-11-1-11-1111-1-1-1111-11-11-11-11-11-1-11-11-1-11
χ1811-111111-1-11-1111-1-111111-111-1-1111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-111-11-11-11-11-11-11-1-11-11-11-111-1-1-111-11-11-11-11-11-111-11-1-1-11
χ1911-111111-1-11-1111-1-111111-111-1-1111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-11-1-11-11-11-1-11-11-1111-11-111-1-1-1111-1-11-11-11-1-11-11-11-111-111-1
χ2011-111111-1-11-1111-1-111111-111-1-1111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-11-11-111-11-11-111-111-1-11-1-1111-1-1-11-11-111-11-11-11-1-1111-1
χ2111-11-1111-11-111111111111-11-1-1-111-1-111111-1-111-1-111-11-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-11-11-111-111-111-11-11-11-1-1-1-11111-11-11-111-111-111-11-1-1-1-1-11-1
χ2211-11-1111-11-111111111111-11-1-1-111-1-111111-1-111-1-111-11-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-11-1-11-1-11-1-11-1-11-1-11-1111111111-11-1-11-1-11-1-11-1-11-11111-11-1
χ2311-11-1111-11-111111111111-11-1-1-111-1-111111-1-111-1-111-11-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11-111-111-11-11-1-11-11-11-1-1-111-1-1-1-11-111-111-11-11-1-11-1-1-1111-11
χ2411-11-1111-11-111111111111-11-1-1-111-1-111111-1-111-1-111-11-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11-11-11-1-11-11-111-111-11-111-1-1-1-1-1-11-11-11-1-11-11-111-1111-1-11-11
χ2511-1-111111-1-111111111111-1-11-1-1-1-1111111111-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1-1-1111111-1-1
χ2611-1-111111-1-111111111111-1-11-1-1-1-1111111111-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-11111-11-1-11-1-1-1-11111-1-11-11111-1-11111-1-1-1-1-11-1-1
χ2711-1-111111-1-111111111111-1-11-1-1-1-1111111111-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-11-11111-1-111-111-1-1-1-1-1-111-11-1-1-1-11-11111-111-1-1-111
χ2811-1-111111-1-111111111111-1-11-1-1-1-1111111111-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-1-1-11-111-1-1-111-1-1-1-111-1-11111-11-1-1-1-11-1-111-111
χ2911-1-1-1111111-1111-1-111111-1-1-1-1-1-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-11-1-111-11-1-111-1111-11-11-111-1-1-1-1-11-1-111-11-1-111-11-11-1111
χ3011-1-1-1111111-1111-1-111111-1-1-1-1-1-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-11-111-1-11111-1-11-1111-1-1-1-1-1-111-1-11-111-1-11-11-11111
χ3111-1-1-1111111-1111-1-111111-1-1-1-1-1-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-11111-1-111-1-111-1-11-1-1-111-1-11-1-1111111-1-111-1-111-1-111-1-11-1-1-1
χ3211-1-1-1111111-1111-1-111111-1-1-1-1-1-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1111-111-1-111-1-111-1-1-1-11-111-1-1-111111-111-1-111-1-111-1-111-1-1-1-1
χ332222222-122222-12222-1-1-1-12222-12-12-12-1-1-1-12-12-12-12-122222-1-1-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-100000000000222222000000220000000000000-1-1-1-1-1-100-1-1000
χ342222222-122222-12222-1-1-1-12222-12-12-12-1-1-1-12-12-12-12-122222-1-1-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-100000000000-2-2-2-2-2-2000000-2-200000000000001111110011000
χ35222222-122222-12222-12-1-1-1222-12-12-12-12-1-1-1-12-12-12-12222-1-122-1-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-100000222222000000000022000000000-1-1-1-1-1-1000000-1-100000
χ36222222-122222-12222-12-1-1-1222-12-12-12-12-1-1-1-12-12-12-12222-1-122-1-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-100000-2-2-2-2-2-20000000000-2-20000000001111110000001100000
χ3722222-122222222-1-1-1-1-12-1-1-1-1-1222222-1-12-1-122222222-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-12222200000000000022220000-1-1-1-1-1-1-10000000000000000-1-1-1
χ3822222-122222222-1-1-1-1-12-1-1-1-1-1222222-1-12-1-122222222-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-2-2-2-2-2000000000000-2-2-2-2000011111110000000000000000111
χ392222-222-12-2-2-22-12-2-22-1-1-1-122-22-12-1-212-1-1-1-12-1-21-21-212-2-2-2-2111111112-1-1-1-12-1-1-1-1-211112-1-1-1-1-21111-2111100000000000222-2-2-20000002-20000000000000-1-1-111100-11000
χ402222-222-12-2-2-22-12-2-22-1-1-1-122-22-12-1-212-1-1-1-12-1-21-21-212-2-2-2-2111111112-1-1-1-12-1-1-1-1-211112-1-1-1-1-21111-2111100000000000-2-2-2222000000-220000000000000111-1-1-1001-1000
χ412222-22-122-2-2-2-122-2-2-12-1-1-122-2-12-121-2-12-1-1-1-121-21-21-22-2-211-2-2111111-12-1-1-1-12-1-1-11-2111-12-1-1-11-21111-211100000222-2-2-200000000002-2000000000-1-1-1111000000-1100000
χ422222-22-122-2-2-2-122-2-2-12-1-1-122-2-12-121-2-12-1-1-1-121-21-21-22-2-211-2-2111111-12-1-1-1-12-1-1-11-2111-12-1-1-11-21111-211100000-2-2-22220000000000-22000000000111-1-1-10000001-100000
χ432222-2-1222-2-2-222-111-1-12-1-1-1-112222-2-2-1-12-1-122-2-2-2-2-2-2-1111111-2-21111-1-12-1-1-1-12-1-111-211-1-12-1-111-21111-2112222-20000000000002-2-2-20000-1-111-1-110000000000000000-111
χ442222-2-1222-2-2-222-111-1-12-1-1-1-112222-2-2-1-12-1-122-2-2-2-2-2-2-1111111-2-21111-1-12-1-1-1-12-1-111-211-1-12-1-111-21111-211-2-2-2-22000000000000-2222000011-1-111-100000000000000001-1-1
χ45222-2222-1-22-2-22-12-2-22-1-1-1-12-222-1-212-12-1-1-1-1-212-1-21-21-22-2-2-2111111112-1-1-1-1-211112-1-1-1-1-211112-1-1-1-1-211110000000000022-22-2-2000000-220000000000000-1-11-111001-1000
χ46222-2222-1-22-2-22-12-2-22-1-1-1-12-222-1-212-12-1-1-1-1-212-1-21-21-22-2-2-2111111112-1-1-1-1-211112-1-1-1-1-211112-1-1-1-1-2111100000000000-2-22-2220000002-2000000000000011-11-1-100-11000
χ47222-222-12-22-2-2-122-2-2-12-1-1-12-22-121-2-12-12-1-1-11-2-121-21-2-22-211-2-2111111-12-1-1-11-2111-12-1-1-11-2111-12-1-1-11-21110000022-22-2-20000000000-22000000000-1-11-1110000001-100000
χ48222-222-12-22-2-2-122-2-2-12-1-1-12-22-121-2-12-12-1-1-11-2-121-21-2-22-211-2-2111111-12-1-1-11-2111-12-1-1-11-2111-12-1-1-11-211100000-2-22-22200000000002-200000000011-11-1-1000000-1100000
χ49222-22-122-22-2-222-111-1-12-1-1-11-122-2-222-1-12-1-1-2-222-2-2-2-21-111111-2-21111-1-12-1-111-211-1-12-1-111-211-1-12-1-111-211222-22000000000000-22-2-20000-1-111-11-100000000000000001-11
χ50222-22-122-22-2-222-111-1-12-1-1-11-122-2-222-1-12-1-1-2-222-2-2-2-21-111111-2-21111-1-12-1-111-211-1-12-1-111-211-1-12-1-111-211-2-2-22-20000000000002-222000011-1-11-110000000000000000-11-1
χ51222-2-222-1-2-2222-12222-1-1-1-12-2-22-1-21-212-1-1-1-1-21-212-12-1-2-2222-1-1-1-1-1-1-1-12-1-1-1-1-21111-21111-21111-211112-1-1-1-10000000000022-2-222000000-2-20000000000000-1-111-1-10011000
χ52222-2-222-1-2-2222-12222-1-1-1-12-2-22-1-21-212-1-1-1-1-21-212-12-1-2-2222-1-1-1-1-1-1-1-12-1-1-1-1-21111-21111-21111-211112-1-1-1-100000000000-2-222-2-200000022000000000000011-1-11100-1-1000
χ53222-2-22-12-2-222-12222-12-1-1-12-2-2-121-21-2-12-1-1-11-21-2-12-12-2-22-1-122-1-1-1-1-1-1-12-1-1-11-21111-21111-21111-2111-12-1-1-10000022-2-2220000000000-2-2000000000-1-111-1-10000001100000
χ54222-2-22-12-2-222-12222-12-1-1-12-2-2-121-21-2-12-1-1-11-21-2-12-12-2-22-1-122-1-1-1-1-1-1-12-1-1-11-21111-21111-21111-2111-12-1-1-100000-2-222-2-200000000002200000000011-1-111000000-1-100000
χ55222-2-2-122-2-22222-1-1-1-1-12-1-1-11122-2-2-2-2-1-12-1-1-2-2-2-2222211-1-1-1-1-122-1-1-1-1-1-12-1-111-21111-21111-21111-211-1-12-1-1222-2-2000000000000-2-2220000-1-1-1-1-111000000000000000011-1
χ56222-2-2-122-2-22222-1-1-1-1-12-1-1-11122-2-2-2-2-1-12-1-1-2-2-2-2222211-1-1-1-1-122-1-1-1-1-1-12-1-111-21111-21111-21111-211-1-12-1-1-2-2-22200000000000022-2-2000011111-1-10000000000000000-1-11
χ5722-22222-1-2-22-22-12-2-22-1-1-1-1-222-212-12-12-1-1-1-1-21-212-1-21-2-22-2-211111111-211112-1-1-1-12-1-1-1-1-21111-211112-1-1-1-1000000000002-22-22-2000000-220000000000000-11-11-11001-1000
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χ1214-40004440000-4-4-40044444000000000-4-4-4-4-40000000000000000000000000000000000000000000000000004-4000000000000000000000004-4000000000000000000000000
χ1224-40004440000-4-4-40044444000000000-4-4-4-4-4000000000000000000000000000000000000000000000000000-4400000000000000000000000-44000000000000000000000000
χ1234-4000-2440000-4-4223−23-2-24-2-200000000022-4220000000000023−2323−230023−2323−230000000000000000000000000000004-400000000000000000000000-2223−230000000000000000000000
χ1244-4000-2440000-4-4223−23-2-24-2-200000000022-4220000000000023−2323−230023−2323−23000000000000000000000000000000-44000000000000000000000002-2−23230000000000000000000000
χ1254-4000-2440000-4-42−2323-2-24-2-200000000022-42200000000000−2323−232300−2323−23230000000000000000000000000000004-400000000000000000000000-22−23230000000000000000000000
χ1264-4000-2440000-4-42−2323-2-24-2-200000000022-42200000000000−2323−232300−2323−2323000000000000000000000000000000-44000000000000000000000002-223−230000000000000000000000
χ1278-800088-40000-84-8008-4-4-4-4000000000-84444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-80008-4800004-8-800-48-4-4-40000000004-8444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-80008-4-4000044-800-4-422200000000044-2-2-20000000000000006i−6i6i−6i−6i6i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-80008-4-4000044-800-4-422200000000044-2-2-2000000000000000−6i6i−6i6i6i−6i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8000-48-40000-84443−43-42-4220000000004-24-2-20000000000043−43−232300−2323−2323000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8000-48-40000-844−4343-42-4220000000004-24-2-200000000000−434323−230023−2323−23000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-8000-4-4800004-8443−432-4-422000000000-244-2-200000000000−232343−4300−2323−2323000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8000-4-4800004-84−43432-4-422000000000-244-2-20000000000023−23−43430023−2323−23000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8000-4-4-4000044443−43222−1−3i3−1+3i3000000000-2-2-21+3i31−3i300000000000−2323−23236i−6i2ζ7+4ζ11−2ζ7−4ζ11−4ζ7−2ζ114ζ7+2ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-8000-4-4-4000044443−43222−1+3i3−1−3i3000000000-2-2-21−3i31+3i300000000000−2323−2323−6i6i−4ζ7−2ζ114ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8000-4-4-40000444−4343222−1−3i3−1+3i3000000000-2-2-21+3i31−3i30000000000023−2323−23−6i6i−2ζ7−4ζ112ζ7+4ζ114ζ7+2ζ11−4ζ7−2ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8000-4-4-40000444−4343222−1+3i3−1−3i3000000000-2-2-21−3i31+3i30000000000023−2323−236i−6i4ζ7+2ζ11−4ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.