Finite Group Databasebeta

← Group #13177655

Character table — Group #13177655

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size112224444661222444888812122422444888812122422444888812122422444888812122499181818363636365454108112224444661222444888812122422444888812122422444888812122422444888812122499181818363636365454108
order12346266128843631266661224241236312666612242412363126666122424123631266661224241222646266128842264626612884666126666122424126661266661224241266612666612242412666126666122424122264626612884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1
χ311111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-1
χ411111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-11
χ5222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000
χ622-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000
χ722-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-1000
χ822-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000
χ922-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i31000
χ102-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i20
χ112-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i20
χ124-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-2020000000
χ13111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ14111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111
χ1511111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-1-1-1-1-1-1111-1-1-1111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-1-1-1-1-1-1111-1-1-11
χ1611111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-11-1-1-1-1-1111-111-111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-11-1-1-1-1-1111-111-1
χ17222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000-2-2-22-20002000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000-2-2-22-20002000
χ1822-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000-2-21-21-211100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000-2-21-21-2111000
χ1922-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-1000-2-21-212-1-1100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-1000-2-21-212-1-11000
χ2022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000-2-21210i3−i3-100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000-2-21210i3−i3-1000
χ2122-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i31000-2-21210−i3i3-100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i31000-2-21210−i3i3-1000
χ222-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i20-22-2020000i2−i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i20-22-2020000i2−i20
χ232-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i20-22-2020000−i2i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i20-22-2020000−i2i20
χ244-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-2020000000-4420-200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-2020000000-4420-20000000
χ25222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ26222222222-2-2-2222222222-2-2-2-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111000000000000222222222-2-2-2222222222-2-2-2-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111000000000000
χ2722222-2-2-2222-222222-2-2-2222-2-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-1100000000000022222-2-2-2222-222222-2-2-2222-2-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-11000000000000
χ2822222-2-2-22-2-2222222-2-2-22-2-22-1-1-1-1-1111-111-1-1-1-1-1-1111-111-1-1-1-1-1-1111-111-100000000000022222-2-2-22-2-2222222-2-2-22-2-22-1-1-1-1-1111-111-1-1-1-1-1-1111-111-1-1-1-1-1-1111-111-1000000000000
χ29444-44000-4000444-44000-4000-2-2-22-20002000-2-2-22-20002000-2-2-22-20002000000000000000444-44000-4000444-44000-4000-2-2-22-20002000-2-2-22-20002000-2-2-22-20002000000000000000
χ3044-24-24-2-2-200044-24-24-2-2-2000-2-21-21-2111000-2-21-21-2111000-2-21-21-211100000000000000044-24-24-2-2-200044-24-24-2-2-2000-2-21-21-2111000-2-21-21-2111000-2-21-21-2111000000000000000
χ3144-24-2-422-200044-24-2-422-2000-2-21-212-1-11000-2-21-212-1-11000-2-21-212-1-1100000000000000044-24-2-422-200044-24-2-422-2000-2-21-212-1-11000-2-21-212-1-11000-2-21-212-1-11000000000000000
χ3244-2-4-20−2i32i3200044-2-4-20−2i32i32000-2-21210i3−i3-1000-2-21210i3−i3-1000-2-21210i3−i3-100000000000000044-2-4-20−2i32i3200044-2-4-20−2i32i32000-2-21210i3−i3-1000-2-21210i3−i3-1000-2-21210i3−i3-1000000000000000
χ3344-2-4-202i3−2i3200044-2-4-202i3−2i32000-2-21210−i3i3-1000-2-21210−i3i3-1000-2-21210−i3i3-100000000000000044-2-4-202i3−2i3200044-2-4-202i3−2i32000-2-21210−i3i3-1000-2-21210−i3i3-1000-2-21210−i3i3-1000000000000000
χ344-440-40000−2i22i204-440-40000−2i22i20-22-2020000i2−i20-22-2020000i2−i20-22-2020000i2−i200000000000004-440-40000−2i22i204-440-40000−2i22i20-22-2020000i2−i20-22-2020000i2−i20-22-2020000i2−i20000000000000
χ354-440-400002i2−2i204-440-400002i2−2i20-22-2020000−i2i20-22-2020000−i2i20-22-2020000−i2i200000000000004-440-400002i2−2i204-440-400002i2−2i20-22-2020000−i2i20-22-2020000−i2i20-22-2020000−i2i20000000000000
χ368-8-40400000008-8-4040000000-4420-20000000-4420-20000000-4420-200000000000000000008-8-40400000008-8-4040000000-4420-20000000-4420-20000000-4420-20000000000000000000
χ37222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ38222222222-2-2-2-1-1-1-1-1-1-1-1-1111222222222-2-2-2-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111000000000000222222222-2-2-2-1-1-1-1-1-1-1-1-1111222222222-2-2-2-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111000000000000
χ3922222-2-2-2222-2-1-1-1-1-1111-1-1-1122222-2-2-2222-2-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-1100000000000022222-2-2-2222-2-1-1-1-1-1111-1-1-1122222-2-2-2222-2-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-11000000000000
χ4022222-2-2-22-2-22-1-1-1-1-1111-111-122222-2-2-22-2-22-1-1-1-1-1111-111-1-1-1-1-1-1111-111-100000000000022222-2-2-22-2-22-1-1-1-1-1111-111-122222-2-2-22-2-22-1-1-1-1-1111-111-1-1-1-1-1-1111-111-1000000000000
χ41444-44000-4000-2-2-22-20002000444-44000-4000-2-2-22-20002000-2-2-22-20002000000000000000444-44000-4000-2-2-22-20002000444-44000-4000-2-2-22-20002000-2-2-22-20002000000000000000
χ4244-24-24-2-2-2000-2-21-21-211100044-24-24-2-2-2000-2-21-21-2111000-2-21-21-211100000000000000044-24-24-2-2-2000-2-21-21-211100044-24-24-2-2-2000-2-21-21-2111000-2-21-21-2111000000000000000
χ4344-24-2-422-2000-2-21-212-1-1100044-24-2-422-2000-2-21-212-1-11000-2-21-212-1-1100000000000000044-24-2-422-2000-2-21-212-1-1100044-24-2-422-2000-2-21-212-1-11000-2-21-212-1-11000000000000000
χ4444-2-4-20−2i32i32000-2-21210i3−i3-100044-2-4-20−2i32i32000-2-21210i3−i3-1000-2-21210i3−i3-100000000000000044-2-4-20−2i32i32000-2-21210i3−i3-100044-2-4-20−2i32i32000-2-21210i3−i3-1000-2-21210i3−i3-1000000000000000
χ4544-2-4-202i3−2i32000-2-21210−i3i3-100044-2-4-202i3−2i32000-2-21210−i3i3-1000-2-21210−i3i3-100000000000000044-2-4-202i3−2i32000-2-21210−i3i3-100044-2-4-202i3−2i32000-2-21210−i3i3-1000-2-21210−i3i3-1000000000000000
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χ488-8-4040000000-4420-200000008-8-4040000000-4420-20000000-4420-200000000000000000008-8-4040000000-4420-200000008-8-4040000000-4420-20000000-4420-20000000000000000000
χ49222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ50222222222-2-2-2-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111222222222-2-2-2-1-1-1-1-1-1-1-1-1111000000000000222222222-2-2-2-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111222222222-2-2-2-1-1-1-1-1-1-1-1-1111000000000000
χ5122222-2-2-2222-2-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-1122222-2-2-2222-2-1-1-1-1-1111-1-1-1100000000000022222-2-2-2222-2-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-1122222-2-2-2222-2-1-1-1-1-1111-1-1-11000000000000
χ5222222-2-2-22-2-22-1-1-1-1-1111-111-1-1-1-1-1-1111-111-122222-2-2-22-2-22-1-1-1-1-1111-111-100000000000022222-2-2-22-2-22-1-1-1-1-1111-111-1-1-1-1-1-1111-111-122222-2-2-22-2-22-1-1-1-1-1111-111-1000000000000
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χ5644-2-4-20−2i32i32000-2-21210i3−i3-1000-2-21210i3−i3-100044-2-4-20−2i32i32000-2-21210i3−i3-100000000000000044-2-4-20−2i32i32000-2-21210i3−i3-1000-2-21210i3−i3-100044-2-4-20−2i32i32000-2-21210i3−i3-1000000000000000
χ5744-2-4-202i3−2i32000-2-21210−i3i3-1000-2-21210−i3i3-100044-2-4-202i3−2i32000-2-21210−i3i3-100000000000000044-2-4-202i3−2i32000-2-21210−i3i3-1000-2-21210−i3i3-100044-2-4-202i3−2i32000-2-21210−i3i3-1000000000000000
χ584-440-40000−2i22i20-22-2020000i2−i20-22-2020000i2−i204-440-40000−2i22i20-22-2020000i2−i200000000000004-440-40000−2i22i20-22-2020000i2−i20-22-2020000i2−i204-440-40000−2i22i20-22-2020000i2−i20000000000000
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χ608-8-4040000000-4420-20000000-4420-200000008-8-4040000000-4420-200000000000000000008-8-4040000000-4420-20000000-4420-200000008-8-4040000000-4420-20000000000000000000
χ61222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222000000000000222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222000000000000
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χ12844-2-4-20−2i32i32000-2-21210i3−i3-1000-2-21210i3−i3-100044-2-4-20−2i32i32000-2-21210i3−i3-1000000000000000-4-424202i3−2i3-200022-1-2-10−i3i3100022-1-2-10−i3i31000-4-424202i3−2i3-200022-1-2-10−i3i31000000000000000
χ12944-2-4-202i3−2i32000-2-21210−i3i3-1000-2-21210−i3i3-100044-2-4-202i3−2i32000-2-21210−i3i3-1000000000000000-4-42420−2i32i3-200022-1-2-10i3−i3100022-1-2-10i3−i31000-4-42420−2i32i3-200022-1-2-10i3−i31000000000000000
χ1304-440-40000−2i22i20-22-2020000i2−i20-22-2020000i2−i204-440-40000−2i22i20-22-2020000i2−i20000000000000-44-40400002i2−2i202-220-20000−i2i202-220-20000−i2i20-44-40400002i2−2i202-220-20000−i2i20000000000000
χ1314-440-400002i2−2i20-22-2020000−i2i20-22-2020000−i2i204-440-400002i2−2i20-22-2020000−i2i20000000000000-44-4040000−2i22i202-220-20000i2−i202-220-20000i2−i20-44-4040000−2i22i202-220-20000i2−i20000000000000
χ1328-8-4040000000-4420-20000000-4420-200000008-8-4040000000-4420-20000000000000000000-8840-400000004-4-20200000004-4-2020000000-8840-400000004-4-2020000000000000000000
χ133222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222000000000000-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111111111111-2-2-2-2-2-2-2-2-2-2-2-2000000000000
χ134222222222-2-2-2-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111222222222-2-2-2000000000000-2-2-2-2-2-2-2-2-2222111111111-1-1-1111111111-1-1-1111111111-1-1-1-2-2-2-2-2-2-2-2-2222000000000000
χ13522222-2-2-2222-2-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-1122222-2-2-2222-2000000000000-2-2-2-2-2222-2-2-2211111-1-1-1111-111111-1-1-1111-111111-1-1-1111-1-2-2-2-2-2222-2-2-22000000000000
χ13622222-2-2-22-2-22-1-1-1-1-1111-111-1-1-1-1-1-1111-111-1-1-1-1-1-1111-111-122222-2-2-22-2-22000000000000-2-2-2-2-2222-222-211111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-11-2-2-2-2-2222-222-2000000000000
χ137444-44000-4000-2-2-22-20002000-2-2-22-20002000-2-2-22-20002000444-44000-4000000000000000-4-4-44-40004000222-22000-2000222-22000-2000222-22000-2000-4-4-44-40004000000000000000
χ13844-24-24-2-2-2000-2-21-21-2111000-2-21-21-2111000-2-21-21-211100044-24-24-2-2-2000000000000000-4-42-42-422200022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000-4-42-42-4222000000000000000
χ13944-24-2-422-2000-2-21-212-1-11000-2-21-212-1-11000-2-21-212-1-1100044-24-2-422-2000000000000000-4-42-424-2-2200022-12-1-211-100022-12-1-211-100022-12-1-211-1000-4-42-424-2-22000000000000000
χ14044-2-4-20−2i32i32000-2-21210i3−i3-1000-2-21210i3−i3-1000-2-21210i3−i3-100044-2-4-20−2i32i32000000000000000-4-424202i3−2i3-200022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000-4-424202i3−2i3-2000000000000000
χ14144-2-4-202i3−2i32000-2-21210−i3i3-1000-2-21210−i3i3-1000-2-21210−i3i3-100044-2-4-202i3−2i32000000000000000-4-42420−2i32i3-200022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i31000-4-42420−2i32i3-2000000000000000
χ1424-440-40000−2i22i20-22-2020000i2−i20-22-2020000i2−i20-22-2020000i2−i204-440-40000−2i22i20000000000000-44-40400002i2−2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i20-44-40400002i2−2i20000000000000
χ1434-440-400002i2−2i20-22-2020000−i2i20-22-2020000−i2i20-22-2020000−i2i204-440-400002i2−2i20000000000000-44-4040000−2i22i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i20-44-4040000−2i22i20000000000000
χ1448-8-4040000000-4420-20000000-4420-20000000-4420-200000008-8-4040000000000000000000-8840-400000004-4-20200000004-4-20200000004-4-2020000000-8840-40000000000000000000

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