Finite Group Databasebeta

← Group #11787943

Character table — Group #11787943

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order12222222223366666666662234466666666666666666666666666666121212121212121222226666666644444412121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-11-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-11-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-11-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-11-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1
χ911-1-111-11-1-111-1-1-1-1-1-111111-111-1111-111-1-111-1-1-1-11-1-11-11-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11-1i−ii−i11-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011-1-111-11-1-111-1-1-1-1-1-111111-111-1111-111-1-111-1-1-1-11-1-11-11-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11-1−ii−ii11-1-1−i−iii−i−iii−i−iii−i−iii
χ1111-1-111-11-1-111-1-1-1-1-1-111111-111-1111-111-1-111-1-1-1-11-1-11-11-111-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-11i−ii−i-1-111ii−i−iii−i−i−i−iii−i−iii
χ1211-1-111-11-1-111-1-1-1-1-1-111111-111-1111-111-1-111-1-1-1-11-1-11-11-111-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-11−ii−ii-1-111−i−iii−i−iiiii−i−iii−i−i
χ1311-1-111-11-1-111-1-1-1-1-1-11111-111-11111-111-1-111-1-1-1-11-1-1-11-1111-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-11i−i−ii-1-111ii−i−i−i−iiiii−i−i−i−iii
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χ1511-1-111-11-1-111-1-1-1-1-1-11111-111-11111-111-1-111-1-1-1-11-1-1-11-1111-1-1-1-111-1-111-1-111-1-111-1-1-1-111111-1i−i−ii11-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611-1-111-11-1-111-1-1-1-1-1-11111-111-11111-111-1-111-1-1-1-11-1-1-11-1111-1-1-1-111-1-111-1-111-1-111-1-1-1-111111-1−iii−i11-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222222-122-1-1-1-12-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-12-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-10000000000000000
χ1822222222222-122-1-1-1-12-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-12-1-1-1-1-1-2-2-2-211111111-2-2000011110000000000000000
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χ362222-2-222-2-2-12-1-12222-122222-1-2-211-1-1-2-2-2-2-1-1-1-1-1-1-111-1-1221111-1-1-1-11-21-211110000000000000000000000−33−33−33−3300000000
χ372222-2-222-2-2-12-1-12222-1222-2-2-12211-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-211111111-12-12-1-1-1-100000000000000000000003−33−3−33−3300000000
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χ3922-2-222-22-2-22-1-2-211112-1-1-12-2-12-2222-2-1-111-1-11111-1-2-22-2-11-1-111-1-1112-1-21-1-11122-2-2-1-1-1-111112-20000-1-1110000000000000000
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χ4122-2-222-22-2-22-1-2-211112-1-1-1-22-1-22222-2-1-111-1-11111-1-2-2-221-1-1-11111-1-1-212-111-1-122-2-2-1-1-1-11111-22000011-1-10000000000000000
χ4222-2-222-22-2-22-1-2-211112-1-1-1-22-1-22222-2-1-111-1-11111-1-2-2-221-1-1-11111-1-1-212-111-1-1-2-2221111-1-1-1-12-20000-1-1110000000000000000
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χ5122-2-2-2-2-222222-2-2-2-2-2-222222-22-22-2-22-2-2-22222-2-2-2-22222-22-2-2-22222-2-2-2-222-2-22200000000000000000000000000000000000000
χ5222-2-2-2-2-222222-2-2-2-2-2-22222-2222-2-2-22-2-2-22222-2-2-2-2222-22-22-2-222-2-22222-2-222-2-200000000000000000000000000000000000000
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χ944-4-440000004-2-442-2−2i32i3-422i3−2i300-200000000002i3−2i32-2−2i32i320000000000000000000000-222-21−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000000000
χ954-4-440000004-2-442-22i3−2i3-42−2i32i300-20000000000−2i32i32-22i3−2i3200000000000000000000002-2-22−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000000000
χ964-4-440000004-2-442-22i3−2i3-42−2i32i300-20000000000−2i32i32-22i3−2i320000000000000000000000-222-21+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000000000
χ978-88-8000000-48-448-8004-80000-4000000000000-44004000000000000000000000000000000000000000000000000000000000000
χ988-88-8000000-4-4-44-44−4i34i344−4i34i300200000000002i3−2i32-22i3−2i3-2000000000000000000000000000000000000000000000000000000000000
χ998-88-8000000-4-4-44-444i3−4i3444i3−4i30020000000000−2i32i32-2−2i32i3-2000000000000000000000000000000000000000000000000000000000000
χ1008-8-88000000-484-4-88004-80000-40000000000004-4004000000000000000000000000000000000000000000000000000000000000
χ1018-8-88000000-4-44-44-4−4i34i3444i3−4i30020000000000−2i32i3-222i3−2i3-2000000000000000000000000000000000000000000000000000000000000
χ1028-8-88000000-4-44-44-44i3−4i344−4i34i300200000000002i3−2i3-22−2i32i3-2000000000000000000000000000000000000000000000000000000000000

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