Finite Group Databasebeta

← Group #11787881

Character table — Group #11787881

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222223344446666666666366666666612121212121212122266666666666666661212121222224444444412121212121212126666881212121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111-1-1
χ911-1-1-111111-1-1-1-1-1-111-1-11111-111-1-1-1-111111-1-1-1-11-111-1-111-1-11111-1-1-1-111-1-111-1-1ii−i−i11-1-11111-1-1-1-111-1-1i−iii−i−iii−i−iii−i−ii−i
χ1011-1-1-111111-1-1-1-1-1-111-1-11111-111-1-1-1-111111-1-1-1-11-111-1-111-1-11111-1-1-1-111-1-111-1-1−i−iii11-1-11111-1-1-1-111-1-1−ii−i−iii−i−iii−i−iii−ii
χ1111-1-1-111111-1-1-1-1-1-111-1-11111-111-1-1-1-111111-1-1-1-11-111-1-111-1-11111-1-1-1-111-1-1-1-111ii−i−i-1-111-1-1-1-11111-1-111i−iii−i−iii−i−i−i−iii−ii
χ1211-1-1-111111-1-1-1-1-1-111-1-11111-111-1-1-1-111111-1-1-1-11-111-1-111-1-11111-1-1-1-111-1-1-1-111−i−iii-1-111-1-1-1-11111-1-111−ii−i−iii−i−iiiii−i−ii−i
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χ1611-1-1-111111-1-1-1-1-1-111-1-11111-111-1-1-1-111111-1-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-111−i−iii11-1-11111-1-1-1-1-1-111i−i−i−iiiii−i−iii−i−i−ii
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-22-22-200000000000000002-22-20000000000000000
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2-22-220000000000000000-22-220000000000000000
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χ202222222-12222-1-1-1-12-122-1-1-122-1-1-1-1-1-1-122-1-12-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-21111111111110000000000000000
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χ29222222-1222222222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-122-122-1-2-21111-2-2-2-211111111-1-1-1-1000022220000000000000000-2-2-1-1-1-11111000000
χ30222222-1222222222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-122-122-1-2-21111-2-2-2-211111111-1-1-1-10000-2-2-2-20000000000000000221111-1-1-1-1000000
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χ4222-2-22-222-222-2-2-22222-2-2-2-22-22-2-2-2-2222-22-22-22-22000000000000000000-222-20000000000000000000000000000000000−2i2i2i−2i00
χ4322-2-22-2-122-2-22-2-222-1211-2-2-11-11111-1-1-1-112-2-1-22100−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3-111-100002i−2i−2i2i000000000000000000−iii−i3−3−33000000
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χ914-4-4400440000-4400-4-4-440040000-4400-4000000000000000000000000000000000000002-2-222-22-2-22-2200000000000000000000
χ924-4-4400440000-4400-4-4-440040000-4400-400000000000000000000000000000000000000-222-2-22-222-22-200000000000000000000
χ934-4-44004-200002-2−2i32i3-42-442i3−2i3-2002i3−2i32-2−2i32i32000000000000000000000000000000000000002-2-22−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i300000000000000000000
χ944-4-44004-200002-2−2i32i3-42-442i3−2i3-2002i3−2i32-2−2i32i3200000000000000000000000000000000000000-222-21−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000
χ954-4-44004-200002-22i3−2i3-42-44−2i32i3-200−2i32i32-22i3−2i32000000000000000000000000000000000000002-2-22−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000
χ964-4-44004-200002-22i3−2i3-42-44−2i32i3-200−2i32i32-22i3−2i3200000000000000000000000000000000000000-222-21+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000
χ978-88-800-4800008-8004-8-4400-40000-440040000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000-44−4i34i344-44−4i34i32002i3−2i32-22i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40000-444i3−4i344-444i3−4i3200−2i32i32-2−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-480000-88004-84-400-400004-40040000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-4−4i34i3444-44i3−4i3200−2i32i3-222i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-44i3−4i3444-4−4i34i32002i3−2i3-22−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000

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