Finite Group Databasebeta

← Group #13181695

Character table — Group #13181695

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174
size112222222222222224444444444444444444444444444444444444444444444181818181818181818181818363636363636363636363636112222222222222224444444444444444444444444444444444444444444444181818181818181818181818363636363636363636363636
order122223336666666663333366666666666666666666666666666666666666666222222444444666666121212121212222226666666666666666666666666666666666666666666666666666666666222222444444666666121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111
χ5111-1-111111-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-11-11-1111-11-1-1-11-11-1111-1-111111-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-11-11-1111-11-1-1-11-11-1
χ6111-1-111111-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-1-11-1111-11-11-1-1-11-11111-1-111111-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-1-11-1111-11-11-1-1-11-11
χ7111-1-111111-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-11-1-11111-1-11111-1-111111-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-11-1-11111-1-11
χ8111-1-111111-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-111-111-111-1111-1-111111-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-111-111-111-1
χ911-11-1111-1-111-1-111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1111-11-1-1-1-111-1111-11-1-1-1-1111-11-1111-1-111-1-111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1111-11-1-1-1-111-1111-11-1-1-1-11
χ1011-11-1111-1-111-1-111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1111-11-1-1-1-111-1111-111-11-1111-1-111-1-111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1111-11-1-1-1-111-1111-1
χ1111-11-1111-1-111-1-111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-11-11-1-11-1-1111-11-11-1-11-111-11-1111-1-111-1-111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-11-11-1-11-1-1111-11-11-1-11-1
χ1211-11-1111-1-111-1-111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111-11-11-1-11-1-1111-1111-11-1111-1-111-1-111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111-11-11-1-11-1-1111-11
χ1311-1-11111-1-1-1-11111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-111-11-11-1-11-11-111-11-11-1-111-1-11111-1-1-1-11111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-111-11-11-1-11-11-111-11-11-1-1
χ1411-1-11111-1-1-1-11111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-1-111-1111-1-11-1-1-111-11111-1-11111-1-1-1-11111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-1-111-1111-1-11-1-1-111-111
χ1511-1-11111-1-1-1-11111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-11-1-1111-111-1-1-11-1-111111-1-11111-1-1-1-11111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-11-1-1111-111-1-1-11-1-1111
χ1611-1-11111-1-1-1-11111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-11111-11-1-1-1-11-11111-11-1-1-111-1-11111-1-1-1-11111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-11111-11-1-1-1-11-11111-11-1-1-1
χ172222222-12222-1-122-12-1-1-1-12-12-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000220000220000-1-10000-1-12222222-12222-1-122-12-1-1-1-12-12-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000220000220000-1-10000-1-1
χ182222222-12222-1-122-12-1-1-1-12-12-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-20000-2-20000110000112222222-12222-1-122-12-1-1-1-12-12-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-20000-2-2000011000011
χ19222222-1222-1-1222-12-12-1-1-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100220000220000-1-10000-1-100222222-1222-1-1222-12-12-1-1-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100220000220000-1-10000-1-100
χ20222222-1222-1-1222-12-12-1-1-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-20000-2-200001100001100222222-1222-1-1222-12-12-1-1-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-20000-2-200001100001100
χ2122222-122-1-12222-122-1-12-1-122-12-12-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1220000220000-1-10000-1-1000022222-122-1-12222-122-1-12-1-122-12-12-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1220000220000-1-10000-1-10000
χ2222222-122-1-12222-122-1-12-1-122-12-12-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-20000-2-2000011000011000022222-122-1-12222-122-1-12-1-122-12-12-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-20000-2-20000110000110000
χ23222-2-222-122-2-21122-12-1-1-1-12-1-21-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-211111111-2-21111111100002-200002-20000-110000-11222-2-222-122-2-21122-12-1-1-1-12-1-21-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-211111111-2-21111111100002-200002-20000-110000-11
χ24222-2-222-122-2-21122-12-1-1-1-12-1-21-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-211111111-2-2111111110000-220000-2200001-100001-1222-2-222-122-2-21122-12-1-1-1-12-1-21-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-211111111-2-2111111110000-220000-2200001-100001-1
χ25222-2-22-122211-2-22-12-12-1-1-1-12-2-2-21-12-1-1-1-1-122-1-1-1-1-1-111-2-211111111-2-2111111002-200002-20000-110000-1100222-2-22-122211-2-22-12-12-1-1-1-12-2-2-21-12-1-1-1-1-122-1-1-1-1-1-111-2-211111111-2-2111111002-200002-20000-110000-1100
χ26222-2-22-122211-2-22-12-12-1-1-1-12-2-2-21-12-1-1-1-1-122-1-1-1-1-1-111-2-211111111-2-211111100-220000-2200001-100001-100222-2-22-122211-2-22-12-12-1-1-1-12-2-2-21-12-1-1-1-1-122-1-1-1-1-1-111-2-211111111-2-211111100-220000-2200001-100001-100
χ27222-2-2-122-1-1-2-2-2-2-122-1-12-1-1221-21-2-1-12-1-1-1-1-1-122-1-1-1-11111-2-211111111-2-21111220000-2-20000-1-10000110000222-2-2-122-1-1-2-2-2-2-122-1-12-1-1221-21-2-1-12-1-1-1-1-1-122-1-1-1-11111-2-211111111-2-21111220000-2-20000-1-10000110000
χ28222-2-2-122-1-1-2-2-2-2-122-1-12-1-1221-21-2-1-12-1-1-1-1-1-122-1-1-1-11111-2-211111111-2-21111-2-20000220000110000-1-10000222-2-2-122-1-1-2-2-2-2-122-1-12-1-1221-21-2-1-12-1-1-1-1-1-122-1-1-1-11111-2-211111111-2-21111-2-20000220000110000-1-10000
χ2922-22-222-1-2-2221122-12-1-1-1-1-212-1-2-22-1-1-1-1-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100002-20000-220000-1100001-122-22-222-1-2-2221122-12-1-1-1-1-212-1-2-22-1-1-1-1-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100002-20000-220000-1100001-1
χ3022-22-222-1-2-2221122-12-1-1-1-1-212-1-2-22-1-1-1-1-2-21111111122-1-1-1-1-1-1-1-1-2-2111111110000-2200002-200001-10000-1122-22-222-1-2-2221122-12-1-1-1-1-212-1-2-22-1-1-1-1-2-21111111122-1-1-1-1-1-1-1-1-2-2111111110000-2200002-200001-10000-11
χ3122-22-22-12-2-2-1-1-2-22-12-12-1-1-11-222-21-12-1-1-111-2-2111111-1-122-1-1-1-1-1-111-2-211111100220000-2-20000-1-10000110022-22-22-12-2-2-1-1-2-22-12-12-1-1-11-222-21-12-1-1-111-2-2111111-1-122-1-1-1-1-1-111-2-211111100220000-2-20000-1-100001100
χ3222-22-22-12-2-2-1-1-2-22-12-12-1-1-11-222-21-12-1-1-111-2-2111111-1-122-1-1-1-1-1-111-2-211111100-2-20000220000110000-1-10022-22-22-12-2-2-1-1-2-22-12-12-1-1-11-222-21-12-1-1-111-2-2111111-1-122-1-1-1-1-1-111-2-211111100-2-20000220000110000-1-100
χ3322-22-2-1221122-2-2-122-1-12-1-1-2-2-121-2-1-12-1-11111-2-21111-1-1-1-122-1-1-1-11111-2-211112-200002-20000-110000-11000022-22-2-1221122-2-2-122-1-12-1-1-2-2-121-2-1-12-1-11111-2-21111-1-1-1-122-1-1-1-11111-2-211112-200002-20000-110000-110000
χ3422-22-2-1221122-2-2-122-1-12-1-1-2-2-121-2-1-12-1-11111-2-21111-1-1-1-122-1-1-1-11111-2-21111-220000-2200001-100001-1000022-22-2-1221122-2-2-122-1-12-1-1-2-2-121-2-1-12-1-11111-2-21111-1-1-1-122-1-1-1-11111-2-21111-220000-2200001-100001-10000
χ3522-2-2222-1-2-2-2-2-1-122-12-1-1-1-1-21-21222-1-1-1-1-2-211111111-2-21111111122-1-1-1-1-1-1-1-10000220000-2-20000-1-100001122-2-2222-1-2-2-2-2-1-122-12-1-1-1-1-21-21222-1-1-1-1-2-211111111-2-21111111122-1-1-1-1-1-1-1-10000220000-2-20000-1-1000011
χ3622-2-2222-1-2-2-2-2-1-122-12-1-1-1-1-21-21222-1-1-1-1-2-211111111-2-21111111122-1-1-1-1-1-1-1-10000-2-20000220000110000-1-122-2-2222-1-2-2-2-2-1-122-12-1-1-1-1-21-21222-1-1-1-1-2-211111111-2-21111111122-1-1-1-1-1-1-1-10000-2-20000220000110000-1-1
χ3722-2-222-12-2-211222-12-12-1-1-11-2-2-22-1-12-1-1-111-2-211111111-2-2111111-1-122-1-1-1-1-1-1002-20000-220000-1100001-10022-2-222-12-2-211222-12-12-1-1-11-2-2-22-1-12-1-1-111-2-211111111-2-2111111-1-122-1-1-1-1-1-1002-20000-220000-1100001-100
χ3822-2-222-12-2-211222-12-12-1-1-11-2-2-22-1-12-1-1-111-2-211111111-2-2111111-1-122-1-1-1-1-1-100-2200002-200001-10000-110022-2-222-12-2-211222-12-12-1-1-11-2-2-22-1-12-1-1-111-2-211111111-2-2111111-1-122-1-1-1-1-1-100-2200002-200001-10000-1100
χ3922-2-22-12211-2-222-122-1-12-1-1-2-21-2-12-1-12-1-11111-2-211111111-2-21111-1-1-1-122-1-1-1-12-20000-220000-1100001-1000022-2-22-12211-2-222-122-1-12-1-1-2-21-2-12-1-12-1-11111-2-211111111-2-21111-1-1-1-122-1-1-1-12-20000-220000-1100001-10000
χ4022-2-22-12211-2-222-122-1-12-1-1-2-21-2-12-1-12-1-11111-2-211111111-2-21111-1-1-1-122-1-1-1-1-2200002-200001-10000-11000022-2-22-12211-2-222-122-1-12-1-1-2-21-2-12-1-12-1-11111-2-211111111-2-21111-1-1-1-122-1-1-1-1-2200002-200001-10000-110000
χ41444444-2-244-2-2-2-24-2-2-2-2111-2-24-24-2-2-2111-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000444444-2-244-2-2-2-24-2-2-2-2111-2-24-24-2-2-2111-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000
χ4244444-24-2-2-244-2-2-24-2-21-2114-2-2-2-24-21-211-2-211-2-21111-2-211-2-21111-2-211-2-2111100000000000000000000000044444-24-2-2-244-2-2-24-2-21-2114-2-2-2-24-21-211-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000
χ4344444-2-24-2-2-2-244-2-241-2-211-24-24-2-21-2-21111-2-2-2-2111111-2-2-2-2111111-2-2-2-2111100000000000000000000000044444-2-24-2-2-2-244-2-241-2-211-24-24-2-21-2-21111-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000
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χ1704-4000-2-2-22i3−2i3−2i32i3−2i32i3222111−1+3i32−1−3i32000000-1-1-11−3i321+3i32−i3i3−i3i33-3−3+i323−i32−3−i323+i32i3−i3-33i3−i33−i32−3+i32−3−i323+i32-33i3−i3i3−i33−i32−3+i32−3−i323+i32000000000000000000000000-44000222−2i32i32i3−2i32i3−2i3-2-2-2-1-1-11−3i321+3i32000000111−1+3i32−1−3i32i3−i3i3−i3-333−i32−3+i323+i32−3−i32−i3i33-3−i3i3−3+i323−i323+i32−3−i323-3−i3i3−i3i3−3+i323−i323+i32−3−i32000000000000000000000000
χ1714-4000-2-2-2−2i32i32i3−2i32i3−2i3222111−1−3i32−1+3i32000000-1-1-11+3i321−3i32i3−i3i3−i33-3−3−i323+i32−3+i323−i32−i3i3-33−i3i33+i32−3−i32−3+i323−i32-33−i3i3−i3i33+i32−3−i32−3+i323−i32000000000000000000000000-440002222i3−2i3−2i32i3−2i32i3-2-2-2-1-1-11+3i321−3i32000000111−1−3i32−1+3i32−i3i3−i3i3-333+i32−3−i323−i32−3+i32i3−i33-3i3−i3−3−i323+i323−i32−3+i323-3i3−i3i3−i3−3−i323+i323−i32−3+i32000000000000000000000000
χ1724-4000-2-2-2−2i32i32i3−2i3−2i32i3222111−1+3i32−1−3i32000000-1-1-11−3i321+3i32i3−i3i3−i3-333−i32−3+i323+i32−3−i32−i3i33-3−i3i3−3+i323−i323+i32−3−i32-33i3−i3i3−i33−i32−3+i32−3−i323+i32000000000000000000000000-440002222i3−2i3−2i32i32i3−2i3-2-2-2-1-1-11−3i321+3i32000000111−1+3i32−1−3i32−i3i3−i3i33-3−3+i323−i32−3−i323+i32i3−i3-33i3−i33−i32−3+i32−3−i323+i323-3−i3i3−i3i3−3+i323−i323+i32−3−i32000000000000000000000000
χ1734-4000-2-2-2−2i32i3−2i32i32i3−2i3222111−1+3i32−1−3i32000000-1-1-11−3i321+3i32i3−i3i3−i3-333−i32−3+i323+i32−3−i32i3−i3-33i3−i33−i32−3+i32−3−i323+i323-3−i3i3−i3i3−3+i323−i323+i32−3−i32000000000000000000000000-440002222i3−2i32i3−2i3−2i32i3-2-2-2-1-1-11−3i321+3i32000000111−1+3i32−1−3i32−i3i3−i3i33-3−3+i323−i32−3−i323+i32−i3i33-3−i3i3−3+i323−i323+i32−3−i32-33i3−i3i3−i33−i32−3+i32−3−i323+i32000000000000000000000000
χ1744-4000-2-2-2−2i32i3−2i32i3−2i32i3222111−1−3i32−1+3i32000000-1-1-11+3i321−3i32i3−i3i3−i33-3−3−i323+i32−3+i323−i32i3−i33-3i3−i3−3−i323+i323−i32−3+i323-3i3−i3i3−i3−3−i323+i323−i32−3+i32000000000000000000000000-440002222i3−2i32i3−2i32i3−2i3-2-2-2-1-1-11+3i321−3i32000000111−1−3i32−1+3i32−i3i3−i3i3-333+i32−3−i323−i32−3+i32−i3i3-33−i3i33+i32−3−i32−3+i323−i32-33−i3i3−i3i33+i32−3−i32−3+i323−i32000000000000000000000000

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