Finite Group Databasebeta

← Group #11781466

Character table — Group #11781466

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222222222244444444444444444444488888888888888888888888888888888888888161616161616161616181818183636363636367272144
order1222333344446666666666664444412121212121212121212121212121212881212121212121212121212121212121212121212242424242424242424242424242424242666666668888888888884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1
χ4111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1
χ61111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ71111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-11
χ81111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1
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χ1122222222-22-22222222222222-2000022222222-2-2-2-2-2-2-2-200-2-2-2-2000000000000000000000000000000000000000002222-2-20000000
χ1222222222-22-22222222222222-2000022222222-2-2-2-2-2-2-2-200-2-2-2-200000000000000000000000000000000000000000-2-2-2-2220000000
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χ1422222222-2-2-2-222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200222200000000000000000000000000000000000000000000000−2i−2i2i2i000
χ1522222-1-1-122222-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000000000
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χ2022222-1-1-12-22-22-1-1-122-1-1-1-1-1-1-222-2-2-2-21111112-1-1-12-1-1-100-211122-1-1-1-1-1-1-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000i3i3i3−i3−i3−i30000000000000
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χ884-4-444-2-2-2-4040-42224-4-22-22-220004-400000000-42224-2-2-2000000000000004-4-22-22-2200000000000000000000000000000000000000
χ894-4-444-2-2-2-4040-42224-4-22-22-22000-4400000000-42224-2-2-200000000000000-442-22-22-200000000000000000000000000000000000000
χ904-4-44-24-2-240-402-422-224-4-22-2204i−4i0000000000-24-2-22-422000000−2i2i4i−4i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ914-4-44-24-2-240-402-422-224-4-22-220−4i4i0000000000-24-2-22-4220000002i−2i−4i4i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ924-4-44-24-2-2-40402-422-224-4-22-220004-4000000002-422-24-2-200000000000000-224-4-22-2200000000000000000000000000000000000000
χ934-4-44-24-2-2-40402-422-224-4-22-22000-44000000002-422-24-2-2000000000000002-2-442-22-200000000000000000000000000000000000000
χ944-4-44-2-24-240-4022-42-22-224-4-2204i−4i0000000000-2-24-222-42000000−2i2i−2i2i4i−4i−2i2i0000000000000000000000000000000000000000000000
χ954-4-44-2-24-240-4022-42-22-224-4-220−4i4i0000000000-2-24-222-420000002i−2i2i−2i−4i4i2i−2i0000000000000000000000000000000000000000000000
χ964-4-44-2-24-2-404022-42-22-224-4-220004-40000000022-42-2-24-200000000000000-22-224-4-2200000000000000000000000000000000000000
χ974-4-44-2-24-2-404022-42-22-224-4-22000-440000000022-42-2-24-2000000000000002-22-2-442-200000000000000000000000000000000000000
χ984-4-44-2-2-2440-40222-4-22-22-224-404i−4i0000000000-2-2-24222-4000000−2i2i−2i2i−2i2i4i−4i0000000000000000000000000000000000000000000000
χ994-4-44-2-2-2440-40222-4-22-22-224-40−4i4i0000000000-2-2-24222-40000002i−2i2i−2i2i−2i−4i4i0000000000000000000000000000000000000000000000
χ1004-4-44-2-2-24-4040222-4-22-22-224-40004-400000000222-4-2-2-2400000000000000-22-22-224-400000000000000000000000000000000000000
χ1014-4-44-2-2-24-4040222-4-22-22-224-4000-4400000000222-4-2-2-24000000000000002-22-22-2-4400000000000000000000000000000000000000
χ1028-88-88-4-4-40000-8444-884-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-48-4-400004-8444-4-884-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-48-4000044-844-44-4-884-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-480000444-84-44-44-4-88000000000000000000000000000000000000000000000000000000000000000000000000000000000

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