Finite Group Databasebeta

← Group #11793133

Character table — Group #11793133

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size112222222222244444488888888888888888824242424242424241122222222222444444888888888888888888242424242424242411222222222224444448888888888888888882424242424242424
order12222222236666666664444441212121212121212121212122444444436666666636666666661212121212121212121212121212121212126121212121212123666666663666666666121212121212121212121212121212121212612121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ61111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ71111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ81111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ9222222222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000222222222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000222222222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ10222222222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000222222222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000222222222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ11222222222-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000222222222-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000222222222-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ12222222222-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000222222222-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000222222222-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ1322222-2-2-2-222-2-2222-2-2-20000000000000000002-200000022222-2-2-2-222-2-2222-2-2-20000000000000000002-200000022222-2-2-2-222-2-2222-2-2-20000000000000000002-2000000
χ1422222-2-2-2-222-2-2222-2-2-2000000000000000000-2200000022222-2-2-2-222-2-2222-2-2-2000000000000000000-2200000022222-2-2-2-222-2-2222-2-2-2000000000000000000-22000000
χ15222-2-222-2-222222-2-2-22-2000000000000000000002i−2i0000222-2-222-2-222222-2-2-22-2000000000000000000002i−2i0000222-2-222-2-222222-2-2-22-2000000000000000000002i−2i0000
χ16222-2-222-2-222222-2-2-22-200000000000000000000−2i2i0000222-2-222-2-222222-2-2-22-200000000000000000000−2i2i0000222-2-222-2-222222-2-2-22-200000000000000000000−2i2i0000
χ17222-2-2-2-22222-2-22-2-22-2200002-20000000022-2-200000000222-2-2-2-22222-2-22-2-22-2200002-20000000022-2-200000000222-2-2-2-22222-2-22-2-22-2200002-20000000022-2-200000000
χ18222-2-2-2-22222-2-22-2-22-220000-2200000000-2-22200000000222-2-2-2-22222-2-22-2-22-220000-2200000000-2-22200000000222-2-2-2-22222-2-22-2-22-220000-2200000000-2-22200000000
χ19222-2-2-2-222-1-111-111-11-100002-233−3−333−3−3-1-11100000000222-2-2-2-222-1-111-111-11-100002-233−3−333−3−3-1-11100000000222-2-2-2-222-1-111-111-11-100002-233−3−333−3−3-1-11100000000
χ20222-2-2-2-222-1-111-111-11-100002-2−3−333−3−333-1-11100000000222-2-2-2-222-1-111-111-11-100002-2−3−333−3−333-1-11100000000222-2-2-2-222-1-111-111-11-100002-2−3−333−3−333-1-11100000000
χ21222-2-2-2-222-1-111-111-11-10000-2233−3−3−3−33311-1-100000000222-2-2-2-222-1-111-111-11-10000-2233−3−3−3−33311-1-100000000222-2-2-2-222-1-111-111-11-10000-2233−3−3−3−33311-1-100000000
χ22222-2-2-2-222-1-111-111-11-10000-22−3−33333−3−311-1-100000000222-2-2-2-222-1-111-111-11-10000-22−3−33333−3−311-1-100000000222-2-2-2-222-1-111-111-11-10000-22−3−33333−3−311-1-100000000
χ2322-22-22-22-22222-22-22-2-2002i−2i0000002i−2i2i−2i00000000000022-22-22-22-22222-22-22-2-2002i−2i0000002i−2i2i−2i00000000000022-22-22-22-22222-22-22-2-2002i−2i0000002i−2i2i−2i000000000000
χ2422-22-22-22-22222-22-22-2-200−2i2i000000−2i2i−2i2i00000000000022-22-22-22-22222-22-22-2-200−2i2i000000−2i2i−2i2i00000000000022-22-22-22-22222-22-22-2-200−2i2i000000−2i2i−2i2i000000000000
χ2522-22-22-22-2-1-1-1-11-11-111002i−2i00−i3i3−i3i3−ii−ii3−33−30000000022-22-22-22-2-1-1-1-11-11-111002i−2i00−i3i3−i3i3−ii−ii3−33−30000000022-22-22-22-2-1-1-1-11-11-111002i−2i00−i3i3−i3i3−ii−ii3−33−300000000
χ2622-22-22-22-2-1-1-1-11-11-111002i−2i00i3−i3i3−i3−ii−ii−33−330000000022-22-22-22-2-1-1-1-11-11-111002i−2i00i3−i3i3−i3−ii−ii−33−330000000022-22-22-22-2-1-1-1-11-11-111002i−2i00i3−i3i3−i3−ii−ii−33−3300000000
χ2722-22-22-22-2-1-1-1-11-11-11100−2i2i00−i3i3−i3i3i−ii−i−33−330000000022-22-22-22-2-1-1-1-11-11-11100−2i2i00−i3i3−i3i3i−ii−i−33−330000000022-22-22-22-2-1-1-1-11-11-11100−2i2i00−i3i3−i3i3i−ii−i−33−3300000000
χ2822-22-22-22-2-1-1-1-11-11-11100−2i2i00i3−i3i3−i3i−ii−i3−33−30000000022-22-22-22-2-1-1-1-11-11-11100−2i2i00i3−i3i3−i3i−ii−i3−33−30000000022-22-22-22-2-1-1-1-11-11-11100−2i2i00i3−i3i3−i3i−ii−i3−33−300000000
χ2922-22-2-22-2222-2-2-22-2-2220000000000000000000000002-222-22-2-22-2222-2-2-22-2-2220000000000000000000000002-222-22-2-22-2222-2-2-22-2-2220000000000000000000000002-2
χ3022-22-2-22-2222-2-2-22-2-222000000000000000000000000-2222-22-2-22-2222-2-2-22-2-222000000000000000000000000-2222-22-2-22-2222-2-2-22-2-222000000000000000000000000-22
χ3122-2-222-2-222222-2-22-2-2200000000000000000000002-20022-2-222-2-222222-2-22-2-2200000000000000000000002-20022-2-222-2-222222-2-22-2-2200000000000000000000002-200
χ3222-2-222-2-222222-2-22-2-220000000000000000000000-220022-2-222-2-222222-2-22-2-220000000000000000000000-220022-2-222-2-222222-2-22-2-220000000000000000000000-2200
χ3322-2-22-222-222-2-2-2-2222-22i−2i00002i−2i−2i2i000000000000000022-2-22-222-222-2-2-2-2222-22i−2i00002i−2i−2i2i000000000000000022-2-22-222-222-2-2-2-2222-22i−2i00002i−2i−2i2i0000000000000000
χ3422-2-22-222-222-2-2-2-2222-2−2i2i0000−2i2i2i−2i000000000000000022-2-22-222-222-2-2-2-2222-2−2i2i0000−2i2i2i−2i000000000000000022-2-22-222-222-2-2-2-2222-2−2i2i0000−2i2i2i−2i0000000000000000
χ3522-2-22-222-2-1-11111-1-1-112i−2i0000−iii−i−i3i3i3−i3−333−30000000022-2-22-222-2-1-11111-1-1-112i−2i0000−iii−i−i3i3i3−i3−333−30000000022-2-22-222-2-1-11111-1-1-112i−2i0000−iii−i−i3i3i3−i3−333−300000000
χ3622-2-22-222-2-1-11111-1-1-112i−2i0000−iii−ii3−i3−i3i33−3−330000000022-2-22-222-2-1-11111-1-1-112i−2i0000−iii−ii3−i3−i3i33−3−330000000022-2-22-222-2-1-11111-1-1-112i−2i0000−iii−ii3−i3−i3i33−3−3300000000
χ3722-2-22-222-2-1-11111-1-1-11−2i2i0000i−i−ii−i3i3i3−i33−3−330000000022-2-22-222-2-1-11111-1-1-11−2i2i0000i−i−ii−i3i3i3−i33−3−330000000022-2-22-222-2-1-11111-1-1-11−2i2i0000i−i−ii−i3i3i3−i33−3−3300000000
χ3822-2-22-222-2-1-11111-1-1-11−2i2i0000i−i−iii3−i3−i3i3−333−30000000022-2-22-222-2-1-11111-1-1-11−2i2i0000i−i−iii3−i3−i3i3−333−30000000022-2-22-222-2-1-11111-1-1-11−2i2i0000i−i−iii3−i3−i3i3−333−300000000
χ3944444-4-4-4-4-2-222-2-2-22220000000000000000000000000044444-4-4-4-4-2-222-2-2-22220000000000000000000000000044444-4-4-4-4-2-222-2-2-222200000000000000000000000000
χ40444-4-444-4-4-2-2-2-2-2222-2200000000000000000000000000444-4-444-4-4-2-2-2-2-2222-2200000000000000000000000000444-4-444-4-4-2-2-2-2-2222-2200000000000000000000000000
χ4144-44-4-44-44-2-2222-222-2-20000000000000000000000000044-44-4-44-44-2-2222-222-2-20000000000000000000000000044-44-4-44-44-2-2222-222-2-200000000000000000000000000
χ4244-4-444-4-44-2-2-2-222-222-20000000000000000000000000044-4-444-4-44-2-2-2-222-222-20000000000000000000000000044-4-444-4-44-2-2-2-222-222-200000000000000000000000000
χ438-800000008-800000000000000000000000000000000008-800000008-800000000000000000000000000000000008-800000008-80000000000000000000000000000000000
χ448-80000000-44−4i34i3000000000000000000000000000000008-80000000-44−4i34i3000000000000000000000000000000008-80000000-44−4i34i300000000000000000000000000000000
χ458-80000000-444i3−4i3000000000000000000000000000000008-80000000-444i3−4i3000000000000000000000000000000008-80000000-444i3−4i300000000000000000000000000000000
χ46111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ471111111111111111111111111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ48111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ49111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ501111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ511111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ521111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
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χ54222222222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000
χ55222222222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000
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χ13244-4-444-4-44-2-2-2-222-222-200000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i3−2−2i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i300000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i3−2+2i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i300000000000000000000000000
χ1338-800000008-80000000000000000000000000000000000−4−4i34+4i30000000−4−4i34+4i30000000000000000000000000000000000−4+4i34−4i30000000−4+4i34−4i30000000000000000000000000000000000
χ1348-80000000-44−4i34i300000000000000000000000000000000−4−4i34+4i300000002+2i3−2−2i3−6+2i36−2i300000000000000000000000000000000−4+4i34−4i300000002−2i3−2+2i36+2i3−6−2i300000000000000000000000000000000
χ1358-80000000-444i3−4i300000000000000000000000000000000−4−4i34+4i300000002+2i3−2−2i36−2i3−6+2i300000000000000000000000000000000−4+4i34−4i300000002−2i3−2+2i3−6−2i36+2i300000000000000000000000000000000

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