Finite Group Databasebeta

← Group #10824702

Character table — Group #10824702

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order122222223444444444444666666612121212121212128888888812121212121212122424242424242424242424242424242444444444121212121212121212121212121212122444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ9111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1
χ10111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111
χ11111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-11-1-1-111-1-11111-1-1
χ12111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-11-1111-1-111-1-1-1-111
χ13111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-111-1-111
χ14111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-111-1-1
χ15111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-11-1-1-11111-1-1-1-111
χ16111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-1111-1-1-1-11111-1-1
χ172222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-200000000-2-22222-2-200000000000000000000000000000000000000002-2-22000000000000
χ182222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-200000000-2-22222-2-20000000000000000000000000000000000000000-222-2000000000000
χ19222222222-2-2-2-2-2-22222-2-222222222222222200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000022-2-2000000000000
χ20222222222-2-2-2-2-2-22222-2-222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-222000000000000
χ2122222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2322222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2422222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2522222222-1-2-2-2-222-2-2-2-222-1-1-1-1-1-1-1111111112222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ2622222222-1-2-2-2-222-2-2-2-222-1-1-1-1-1-1-1111111112222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ2722222222-1-2-2-2-222-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ2822222222-1-2-2-2-222-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ2922-22-2-22-222i2i−2i−2i2-22i2i−2i−2i2-22-22-2-22-22i2i2i2i−2i−2i−2i−2i000000002-22i2i−2i−2i2-20000000000000000000000000000000000000000000000002i−2i2-20000
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χ4122-22-2-22-2-1−2i−2i2i2i-222i2i−2i−2i-22-11-111-11−i−i−i−iiiii000000001-1ii−i−i1-13333−3−3−3−3i3i3i3i3−i3−i3−i3−i300002i−2i-22−i3−i3i3i3−3−333−i−iii11-1-10000000000000000
χ4222-22-2-22-2-1−2i−2i2i2i-222i2i−2i−2i-22-11-111-11−i−i−i−iiiii000000001-1ii−i−i1-13333−3−3−3−3i3i3i3i3−i3−i3−i3−i30000−2i2i2-2i3i3−i3−i333−3−3ii−i−i-1-1110000000000000000
χ4322-22-2-22-2-1−2i−2i2i2i-222i2i−2i−2i-22-11-111-11−i−i−i−iiiii000000001-1ii−i−i1-1−3−3−3−33333−i3−i3−i3−i3i3i3i3i300002i−2i-22i3i3−i3−i333−3−3−i−iii11-1-10000000000000000
χ4422-22-2-22-2-1−2i−2i2i2i-222i2i−2i−2i-22-11-111-11−i−i−i−iiiii000000001-1ii−i−i1-1−3−3−3−33333−i3−i3−i3−i3i3i3i3i30000−2i2i2-2−i3−i3i3i3−3−333ii−i−i-1-1110000000000000000
χ452-22-22-22-222i−2i2i−2i2-22i−2i2i−2i-22-222-2-2-222i2i−2i−2i2i2i−2i−2i000000002-22i−2i2i−2i-2200000000000000002i−2i2-200002i−2i2i−2i2-22-2000000000000000000000000
χ462-22-22-22-222i−2i2i−2i2-22i−2i2i−2i-22-222-2-2-222i2i−2i−2i2i2i−2i−2i000000002-22i−2i2i−2i-220000000000000000−2i2i-220000−2i2i−2i2i-22-22000000000000000000000000
χ472-22-22-22-222i−2i2i−2i-22−2i2i−2i2i2-2-222-2-2-22−2i−2i2i2i−2i−2i2i2i00000000-222i−2i2i−2i2-2000000000000000000000000000000000000000000002i−2i2-200000000
χ482-22-22-22-222i−2i2i−2i-22−2i2i−2i2i2-2-222-2-2-22−2i−2i2i2i−2i−2i2i2i00000000-222i−2i2i−2i2-200000000000000000000000000000000000000000000−2i2i-2200000000
χ492-22-22-22-22−2i2i−2i2i2-2−2i2i−2i2i-22-222-2-2-22−2i−2i2i2i−2i−2i2i2i000000002-2−2i2i−2i2i-2200000000000000002i−2i-2200002i−2i2i−2i-22-22000000000000000000000000
χ502-22-22-22-22−2i2i−2i2i2-2−2i2i−2i2i-22-222-2-2-22−2i−2i2i2i−2i−2i2i2i000000002-2−2i2i−2i2i-220000000000000000−2i2i2-20000−2i2i−2i2i2-22-2000000000000000000000000
χ512-22-22-22-22−2i2i−2i2i-222i−2i2i−2i2-2-222-2-2-222i2i−2i−2i2i2i−2i−2i00000000-22−2i2i−2i2i2-2000000000000000000000000000000000000000000002i−2i-2200000000
χ522-22-22-22-22−2i2i−2i2i-222i−2i2i−2i2-2-222-2-2-222i2i−2i−2i2i2i−2i−2i00000000-22−2i2i−2i2i2-200000000000000000000000000000000000000000000−2i2i2-200000000
χ532-22-22-22-2-12i−2i2i−2i2-22i−2i2i−2i-221-1-1111-1−i−iii−i−iii00000000-11−ii−ii1-133−3−333−3−3−i3−i3i3i3−i3−i3i3i32i−2i2-20000−ii−ii-11-11−i3i3−i3i33−33−30000000000000000
χ542-22-22-22-2-12i−2i2i−2i2-22i−2i2i−2i-221-1-1111-1−i−iii−i−iii00000000-11−ii−ii1-133−3−333−3−3−i3−i3i3i3−i3−i3i3i3−2i2i-220000i−ii−i1-11-1i3−i3i3−i3−33−330000000000000000
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χ562-22-22-22-2-12i−2i2i−2i2-22i−2i2i−2i-221-1-1111-1−i−iii−i−iii00000000-11−ii−ii1-1−3−333−3−333i3i3−i3−i3i3i3−i3−i3−2i2i-220000i−ii−i1-11-1−i3i3−i3i33−33−30000000000000000
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χ632-2-2-2-222222-2-22-2-2-222-222-2-2222-2-2-2-22222-2-222-2-222-2-2-2-22-2-222222-2-2-2-22222-2-2-2-2220000000000000000000000000000000000000000
χ642-2-2-2-222222-2-22-2-2-222-222-2-2222-2-2-2-22222-2-2-2-222-2-222-2-22-2-2222-2-22222-2-2-2-22222-2-20000000000000000000000000000000000000000
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χ672-2-2-2-22222-222-2-2-22-2-2222-2-2222-2-222-2-2-2-22222-2-2-2-222-2-2-222-22222-2-2-2-222-2-22222-2-20000000000000000000000000000000000000000
χ682-2-2-2-22222-222-2-2-22-2-2222-2-2222-2-222-2-2-2-222-2-22222-2-2-2-2-222-222-2-22222-2-222-2-2-2-2220000000000000000000000000000000000000000
χ692-2-2-2-2222-12-2-22-2-2-222-22211-1-1-11111-1-1-1-11122-2-222-2-211-111-1-1-1-1-11111-1-1-1-11111-1-1000000003−3−33−333−3−333−33−3−330000000000000000
χ702-2-2-2-2222-12-2-22-2-2-222-22211-1-1-11111-1-1-1-11122-2-222-2-211-111-1-1-1-1-11111-1-1-1-11111-1-100000000−333−33−3−333−3−33−333−30000000000000000
χ712-2-2-2-2222-12-2-22-2-2-222-22211-1-1-11111-1-1-1-111-2-222-2-22211-111-1-1-111-1-1-1-11111-1-1-1-111000000003−3−33−333−33−3−33−333−30000000000000000
χ722-2-2-2-2222-12-2-22-2-2-222-22211-1-1-11111-1-1-1-111-2-222-2-22211-111-1-1-111-1-1-1-11111-1-1-1-11100000000−333−33−3−33−333−33−3−330000000000000000
χ732-2-2-2-2222-1-222-2-2-22-2-222211-1-1-111-1-11111-1-122-2-2-2-222111-1-11-1-1-1-11111-1-111-1-1-1-111000000003−3−333−3−33−333−3−333−30000000000000000
χ742-2-2-2-2222-1-222-2-2-22-2-222211-1-1-111-1-11111-1-122-2-2-2-222111-1-11-1-1-1-11111-1-111-1-1-1-11100000000−333−3−333−33−3−333−3−330000000000000000
χ752-2-2-2-2222-1-222-2-2-22-2-222211-1-1-111-1-11111-1-1-2-22222-2-2111-1-11-1-111-1-1-1-111-1-11111-1-1000000003−3−333−3−333−3−333−3−330000000000000000
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χ79444-4-4-4-44400000000000044-44-4-4-40000000022−2222−2200000000000022−2222−2222−2222−22000000000000000000000000000000000000000000000000
χ80444-4-4-4-44400000000000044-44-4-4-400000000−2222−2222000000000000−2222−2222−2222−2222000000000000000000000000000000000000000000000000
χ81444-4-4-4-44-2000000000000-2-22-2222−2i32i3−2i32i3−2i32i3−2i32i322−2222−22000000000000−22−22−22−22i6−i6i6−i6i6−i6i6−i60000000000000000000000000000000000000000
χ82444-4-4-4-44-2000000000000-2-22-2222−2i32i3−2i32i3−2i32i3−2i32i3−2222−22220000000000002−22−22−22−2−i6i6−i6i6−i6i6−i6i60000000000000000000000000000000000000000
χ83444-4-4-4-44-2000000000000-2-22-22222i3−2i32i3−2i32i3−2i32i3−2i322−2222−22000000000000−22−22−22−22−i6i6−i6i6−i6i6−i6i60000000000000000000000000000000000000000
χ84444-4-4-4-44-2000000000000-2-22-22222i3−2i32i3−2i32i3−2i32i3−2i3−2222−22220000000000002−22−22−22−2i6−i6i6−i6i6−i6i6−i60000000000000000000000000000000000000000
χ8544-44-4-44-4-24i4i−4i−4i4-44i4i−4i−4i4-4-22-222-22−2i−2i−2i−2i2i2i2i2i00000000-22−2i−2i2i2i-2200000000000000000000000000000000000000000000000000000000
χ8644-44-4-44-4-2−4i−4i4i4i4-4−4i−4i4i4i4-4-22-222-222i2i2i2i−2i−2i−2i−2i00000000-222i2i−2i−2i-2200000000000000000000000000000000000000000000000000000000
χ8744-4-444-4-440000000000004-4-4-44-4400000000000022−2222−22000000000000000022−2222−22−2222−22220000000000000000000000000000000000000000
χ8844-4-444-4-440000000000004-4-4-44-44000000000000−2222−22220000000000000000−2222−222222−2222−220000000000000000000000000000000000000000
χ8944-4-444-4-4-2000000000000-2222-22-223−2323−23−2323−2323000022−2222−22000000006−66−6−66−66−22−222−22−20000000000000000000000000000000000000000
χ9044-4-444-4-4-2000000000000-2222-22-223−2323−23−2323−23230000−2222−222200000000−66−666−66−62−22−2−22−220000000000000000000000000000000000000000
χ9144-4-444-4-4-2000000000000-2222-22-2−2323−232323−2323−23000022−2222−2200000000−66−666−66−6−22−222−22−20000000000000000000000000000000000000000
χ9244-4-444-4-4-2000000000000-2222-22-2−2323−232323−2323−230000−2222−2222000000006−66−6−66−662−22−2−22−220000000000000000000000000000000000000000
χ934-444-44-4-44000000000000-44-4-444-400000000000022−22−2222000000000000000022−22−222222−22−22220000000000000000000000000000000000000000
χ944-444-44-4-44000000000000-44-4-444-4000000000000−222222−220000000000000000−222222−22−222222−220000000000000000000000000000000000000000
χ954-444-44-4-4-20000000000002-222-2-2223−23−232323−23−2323000022−22−222200000000−666−6−666−6−222−2−222−20000000000000000000000000000000000000000
χ964-444-44-4-4-20000000000002-222-2-2223−23−232323−23−23230000−222222−22000000006−6−666−6−662−2−222−2−220000000000000000000000000000000000000000
χ974-444-44-4-4-20000000000002-222-2-22−232323−23−232323−23000022−22−2222000000006−6−666−6−66−222−2−222−20000000000000000000000000000000000000000
χ984-444-44-4-4-20000000000002-222-2-22−232323−23−232323−230000−222222−2200000000−666−6−666−62−2−222−2−220000000000000000000000000000000000000000
χ994-44-44-44-4-24i−4i4i−4i-44−4i4i−4i4i4-42-2-2222-22i2i−2i−2i2i2i−2i−2i000000002-2−2i2i−2i2i-2200000000000000000000000000000000000000000000000000000000
χ1004-44-44-44-4-2−4i4i−4i4i-444i−4i4i−4i4-42-2-2222-2−2i−2i2i2i−2i−2i2i2i000000002-22i−2i2i−2i-2200000000000000000000000000000000000000000000000000000000
χ1014-4-444-4-444000000000000-4-4-44-4440000000022−22−222200000000000022−22−2222−222222−22000000000000000000000000000000000000000000000000
χ1024-4-444-4-444000000000000-4-4-44-44400000000−222222−22000000000000−222222−2222−22−2222000000000000000000000000000000000000000000000000
χ1034-4-444-4-44-2000000000000222-22-2-2−2i32i32i3−2i32i3−2i3−2i32i322−22−2222000000000000−222−22−2−22−i6i6i6−i6i6−i6−i6i60000000000000000000000000000000000000000
χ1044-4-444-4-44-2000000000000222-22-2-2−2i32i32i3−2i32i3−2i3−2i32i3−222222−220000000000002−2−22−222−2i6−i6−i6i6−i6i6i6−i60000000000000000000000000000000000000000
χ1054-4-444-4-44-2000000000000222-22-2-22i3−2i3−2i32i3−2i32i32i3−2i322−22−2222000000000000−222−22−2−22i6−i6−i6i6−i6i6i6−i60000000000000000000000000000000000000000
χ1064-4-444-4-44-2000000000000222-22-2-22i3−2i3−2i32i3−2i32i32i3−2i3−222222−220000000000002−2−22−222−2−i6i6i6−i6i6−i6−i6i60000000000000000000000000000000000000000
χ1074-4-4-4-4444-24-4-44444-4-44-4-422-2-2-222-2-22222-2-200000000-2-2-222-22200000000000000000000000000000000000000000000000000000000
χ1084-4-4-4-4444-2-444-444-444-4-4-422-2-2-22222-2-2-2-22200000000-2-22-2-222200000000000000000000000000000000000000000000000000000000

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