Finite Group Databasebeta

← Group #11792347

Character table — Group #11792347

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size112222222222244444488888888888888888824242424242424241122222222222444444888888888888888888242424242424242411222222222224444448888888888888888882424242424242424
order12222344446666612121212244466881212121212122424242424444488366663121212126666612121212612121266242412121212121224242424612121212122424366663121212126666612121212612121266242412121212121224242424612121212122424
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
χ3111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111
χ4111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ51111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1
χ81111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111
χ9222222-2-2-2-222222-2-2-2-2000000000000000000002-20000222222-2-2-2-222222-2-2-2-2000000000000000000002-20000222222-2-2-2-222222-2-2-2-2000000000000000000002-20000
χ10222222-2-2-2-222222-2-2-2-200000000000000000000-220000222222-2-2-2-222222-2-2-2-200000000000000000000-220000222222-2-2-2-222222-2-2-2-200000000000000000000-220000
χ1122222-12222-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-10000000022222-12222-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-10000000022222-12222-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-100000000
χ1222222-12222-1-1-1-1-1-1-1-1-122-2-2-1-1-2-2-1-1111111110000000022222-12222-1-1-1-1-1-1-1-1-122-2-2-1-1-2-2-1-1111111110000000022222-12222-1-1-1-1-1-1-1-1-122-2-2-1-1-2-2-1-11111111100000000
χ1322222-12222-1-1-1-1-1-1-1-1-1-2-22211-2-211-1-1-1-111110000000022222-12222-1-1-1-1-1-1-1-1-1-2-22211-2-211-1-1-1-111110000000022222-12222-1-1-1-1-1-1-1-1-1-2-22211-2-211-1-1-1-1111100000000
χ1422222-12222-1-1-1-1-1-1-1-1-1-2-2-2-21122111111-1-1-1-10000000022222-12222-1-1-1-1-1-1-1-1-1-2-2-2-21122111111-1-1-1-10000000022222-12222-1-1-1-1-1-1-1-1-1-2-2-2-21122111111-1-1-1-100000000
χ15222-2-2222-2-2222-2-222-2-200000000000000000000002i−2i00222-2-2222-2-2222-2-222-2-200000000000000000000002i−2i00222-2-2222-2-2222-2-222-2-200000000000000000000002i−2i00
χ16222-2-2222-2-2222-2-222-2-20000000000000000000000−2i2i00222-2-2222-2-2222-2-222-2-20000000000000000000000−2i2i00222-2-2222-2-2222-2-222-2-20000000000000000000000−2i2i00
χ17222-2-22-2-222222-2-2-2-2222-2002200-2-20000000000000000222-2-22-2-222222-2-2-2-2222-2002200-2-20000000000000000222-2-22-2-222222-2-2-2-2222-2002200-2-20000000000000000
χ18222-2-22-2-222222-2-2-2-222-2200-2-200220000000000000000222-2-22-2-222222-2-2-2-222-2200-2-200220000000000000000222-2-22-2-222222-2-2-2-222-2200-2-200220000000000000000
χ19222-2-2-1-2-222-1-1-11111-1-12-200-1-10011−i3−i3i3i3−i3−i3i3i300000000222-2-2-1-2-222-1-1-11111-1-12-200-1-10011−i3−i3i3i3−i3−i3i3i300000000222-2-2-1-2-222-1-1-11111-1-12-200-1-10011−i3−i3i3i3−i3−i3i3i300000000
χ20222-2-2-1-2-222-1-1-11111-1-12-200-1-10011i3i3−i3−i3i3i3−i3−i300000000222-2-2-1-2-222-1-1-11111-1-12-200-1-10011i3i3−i3−i3i3i3−i3−i300000000222-2-2-1-2-222-1-1-11111-1-12-200-1-10011i3i3−i3−i3i3i3−i3−i300000000
χ21222-2-2-1-2-222-1-1-11111-1-1-22001100-1-1−i3−i3i3i3i3i3−i3−i300000000222-2-2-1-2-222-1-1-11111-1-1-22001100-1-1−i3−i3i3i3i3i3−i3−i300000000222-2-2-1-2-222-1-1-11111-1-1-22001100-1-1−i3−i3i3i3i3i3−i3−i300000000
χ22222-2-2-1-2-222-1-1-11111-1-1-22001100-1-1i3i3−i3−i3−i3−i3i3i300000000222-2-2-1-2-222-1-1-11111-1-1-22001100-1-1i3i3−i3−i3−i3−i3i3i300000000222-2-2-1-2-222-1-1-11111-1-1-22001100-1-1i3i3−i3−i3−i3−i3i3i300000000
χ2322-22-222-22-2-2-222-22-2-220000002-20000002-22-20000000022-22-222-22-2-2-222-22-2-220000002-20000002-22-20000000022-22-222-22-2-2-222-22-2-220000002-20000002-22-200000000
χ2422-22-222-22-2-2-222-22-2-22000000-22000000-22-220000000022-22-222-22-2-2-222-22-2-22000000-22000000-22-220000000022-22-222-22-2-2-222-22-2-22000000-22000000-22-2200000000
χ2522-22-22-22-22-2-222-2-222-20000000000000000000000002-222-22-22-22-22-2-222-2-222-20000000000000000000000002-222-22-22-22-22-2-222-2-222-20000000000000000000000002-2
χ2622-22-22-22-22-2-222-2-222-2000000000000000000000000-2222-22-22-22-22-2-222-2-222-2000000000000000000000000-2222-22-22-22-22-2-222-2-222-2000000000000000000000000-22
χ2722-22-2-12-22-211-1-11-111-10000−i3i32-2−i3i3−i3i3−i3i3-11-110000000022-22-2-12-22-211-1-11-111-10000−i3i32-2−i3i3−i3i3−i3i3-11-110000000022-22-2-12-22-211-1-11-111-10000−i3i32-2−i3i3−i3i3−i3i3-11-1100000000
χ2822-22-2-12-22-211-1-11-111-10000−i3i3-22−i3i3i3−i3i3−i31-11-10000000022-22-2-12-22-211-1-11-111-10000−i3i3-22−i3i3i3−i3i3−i31-11-10000000022-22-2-12-22-211-1-11-111-10000−i3i3-22−i3i3i3−i3i3−i31-11-100000000
χ2922-22-2-12-22-211-1-11-111-10000i3−i32-2i3−i3i3−i3i3−i3-11-110000000022-22-2-12-22-211-1-11-111-10000i3−i32-2i3−i3i3−i3i3−i3-11-110000000022-22-2-12-22-211-1-11-111-10000i3−i32-2i3−i3i3−i3i3−i3-11-1100000000
χ3022-22-2-12-22-211-1-11-111-10000i3−i3-22i3−i3−i3i3−i3i31-11-10000000022-22-2-12-22-211-1-11-111-10000i3−i3-22i3−i3−i3i3−i3i31-11-10000000022-22-2-12-22-211-1-11-111-10000i3−i3-22i3−i3−i3i3−i3i31-11-100000000
χ3122-2-2222-2-22-2-22-222-22-20000000000000000002-200000022-2-2222-2-22-2-22-222-22-20000000000000000002-200000022-2-2222-2-22-2-22-222-22-20000000000000000002-2000000
χ3222-2-2222-2-22-2-22-222-22-2000000000000000000-2200000022-2-2222-2-22-2-22-222-22-2000000000000000000-2200000022-2-2222-2-22-2-22-222-22-2000000000000000000-22000000
χ3322-2-222-222-2-2-22-22-22-22002-20000002-2-2200000000000022-2-222-222-2-2-22-22-22-22002-20000002-2-2200000000000022-2-222-222-2-2-22-22-22-22002-20000002-2-22000000000000
χ3422-2-222-222-2-2-22-22-22-2200-22000000-222-200000000000022-2-222-222-2-2-22-22-22-2200-22000000-222-200000000000022-2-222-222-2-2-22-22-22-2200-22000000-222-2000000000000
χ3522-2-22-1-222-211-11-11-11-1002-2−i3i300i3−i3-111-1−i3i3i3−i30000000022-2-22-1-222-211-11-11-11-1002-2−i3i300i3−i3-111-1−i3i3i3−i30000000022-2-22-1-222-211-11-11-11-1002-2−i3i300i3−i3-111-1−i3i3i3−i300000000
χ3622-2-22-1-222-211-11-11-11-1002-2i3−i300−i3i3-111-1i3−i3−i3i30000000022-2-22-1-222-211-11-11-11-1002-2i3−i300−i3i3-111-1i3−i3−i3i30000000022-2-22-1-222-211-11-11-11-1002-2i3−i300−i3i3-111-1i3−i3−i3i300000000
χ3722-2-22-1-222-211-11-11-11-100-22−i3i300i3−i31-1-11i3−i3−i3i30000000022-2-22-1-222-211-11-11-11-100-22−i3i300i3−i31-1-11i3−i3−i3i30000000022-2-22-1-222-211-11-11-11-100-22−i3i300i3−i31-1-11i3−i3−i3i300000000
χ3822-2-22-1-222-211-11-11-11-100-22i3−i300−i3i31-1-11−i3i3i3−i30000000022-2-22-1-222-211-11-11-11-100-22i3−i300−i3i31-1-11−i3i3i3−i30000000022-2-22-1-222-211-11-11-11-100-22i3−i300−i3i31-1-11−i3i3i3−i300000000
χ3944444-2-4-4-4-4-2-2-2-2-222220000000000000000000000000044444-2-4-4-4-4-2-2-2-2-222220000000000000000000000000044444-2-4-4-4-4-2-2-2-2-2222200000000000000000000000000
χ40444-4-4-244-4-4-2-2-222-2-22200000000000000000000000000444-4-4-244-4-4-2-2-222-2-22200000000000000000000000000444-4-4-244-4-4-2-2-222-2-22200000000000000000000000000
χ4144-44-4-2-44-4422-2-222-2-220000000000000000000000000044-44-4-2-44-4422-2-222-2-220000000000000000000000000044-44-4-2-44-4422-2-222-2-2200000000000000000000000000
χ4244-4-44-24-4-4422-22-2-22-220000000000000000000000000044-4-44-24-4-4422-22-2-22-220000000000000000000000000044-4-44-24-4-4422-22-2-22-2200000000000000000000000000
χ438-80008000000-8000000000000000000000000000000008-80008000000-8000000000000000000000000000000008-80008000000-800000000000000000000000000000000
χ448-8000-40000−4i34i34000000000000000000000000000000008-8000-40000−4i34i34000000000000000000000000000000008-8000-40000−4i34i3400000000000000000000000000000000
χ458-8000-400004i3−4i34000000000000000000000000000000008-8000-400004i3−4i34000000000000000000000000000000008-8000-400004i3−4i3400000000000000000000000000000000
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
χ48111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111−1+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+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ49111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1−1+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+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ501111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−1+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−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+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+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−i32−1−i32−1−i321+i321+i321+i321+i32
χ511111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−1+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−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+i32−1−i32−1−i321+i321+i321+i321+i321+i321+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
χ521111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
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χ13244-4-44-24-4-4422-22-2-22-2200000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−2−2i32+2i32+2i3−2−2i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i300000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−2+2i32−2i32−2i3−2+2i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i300000000000000000000000000
χ1338-80008000000-800000000000000000000000000000000−4−4i34+4i3000−4−4i30000004+4i300000000000000000000000000000000−4+4i34−4i3000−4+4i30000004−4i300000000000000000000000000000000
χ1348-8000-40000−4i34i3400000000000000000000000000000000−4−4i34+4i30002+2i30000−6+2i36−2i3−2−2i300000000000000000000000000000000−4+4i34−4i30002−2i300006+2i3−6−2i3−2+2i300000000000000000000000000000000
χ1358-8000-400004i3−4i3400000000000000000000000000000000−4−4i34+4i30002+2i300006−2i3−6+2i3−2−2i300000000000000000000000000000000−4+4i34−4i30002−2i30000−6−2i36+2i3−2+2i300000000000000000000000000000000

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