Finite Group Databasebeta

← Group #11864925

Character table — Group #11864925

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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order122334466344666661212121212121212121212121212121222446666121212128824242424444222664466644666661212121212121212121212121212121222446666121212128824242424444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111-1-11111111-1-1-1-111-1-111-1-1-1-11-11-111-1-111-1-11-111-1-111-11111111111-1-11111111-1-1-1-111-1-111-1-1-1-11-11-111-1-111-1-11-111-1-111-1
χ61111111111-1-11111111-1-1-1-111-1-111-1-1-1-11-11-111-1-111-1-1-11-1-111-1-111111111111-1-11111111-1-1-1-111-1-111-1-1-1-11-11-111-1-111-1-1-11-1-111-1-11
χ71111111111-1-11111111-1-1-1-111-1-111-1-1-1-1-11-11-1-111-1-1111-111-1-1-1-111111111111-1-11111111-1-1-1-111-1-111-1-1-1-1-11-11-1-111-1-1111-111-1-1-1-11
χ81111111111-1-11111111-1-1-1-111-1-111-1-1-1-1-11-11-1-111-1-111-11-1-11111-11111111111-1-11111111-1-1-1-111-1-111-1-1-1-1-11-11-1-111-1-111-11-1-11111-1
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χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ56111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ57111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111
χ58111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1
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χ621111111111-1-11111111-1-1-1-111-1-111-1-1-1-1-11-11-1-111-1-111-11-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-111111-11-111-1-111-1-11-111-1-1-1-11
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χ79222-12-2-2-12-1-22-12-1-1-1-2-2-2-222111-11111-1-1000000000000003−3−33000-2-2-21-2221-212-21-21112222-2-2-1-1-11-1-1-1-11100000000000000−333−3000
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χ8222-2222-222200-2-2-2-222-200002-2002-200000-20200-2-20022000000000-2-22-2-2-22-2-2-2002222-2-220000-2200-220000020-2002200-2-2000000000
χ8322-222-2222200-2-2-2-22-220000-2200-22000020-202200-2-200000000000-2-22-2-22-2-2-2-2002222-22-200002-2002-20000-2020-2-2002200000000000
χ8422-222-2222200-2-2-2-22-220000-2200-220000-2020-2-2002200000000000-2-22-2-22-2-2-2-2002222-22-200002-2002-2000020-202200-2-200000000000
χ8522-22-12-22-1-100-2111-1-11−i3i3−i3i32-200-11−i3i3−i3i3020-2−i3i3-1-1i3−i311000000000-2-22-21-22-211002-1-1-111-1i3−i3i3−i3-22001-1i3−i3i3−i30-202i3−i311−i3i3-1-1000000000
χ8622-22-12-22-1-100-2111-1-11−i3i3−i3i32-200-11−i3i3−i3i30-202i3−i311−i3i3-1-1000000000-2-22-21-22-211002-1-1-111-1i3−i3i3−i3-22001-1i3−i3i3−i3020-2−i3i3-1-1i3−i311000000000
χ8722-22-12-22-1-100-2111-1-11i3−i3i3−i32-200-11i3−i3i3−i3020-2i3−i3-1-1−i3i311000000000-2-22-21-22-211002-1-1-111-1−i3i3−i3i3-22001-1−i3i3−i3i30-202−i3i311i3−i3-1-1000000000
χ8822-22-12-22-1-100-2111-1-11i3−i3i3−i32-200-11i3−i3i3−i30-202−i3i311i3−i3-1-1000000000-2-22-21-22-211002-1-1-111-1−i3i3−i3i3-22001-1−i3i3−i3i3020-2i3−i3-1-1−i3i311000000000
χ8922-22-1-222-1-100-2111-11-1−i3i3i3−i3-22001-1−i3i3i3−i320-20-1-1−i3i311i3−i3000000000-2-22-212-2-211002-1-1-11-11i3−i3−i3i32-200-11i3−i3−i3i3-202011i3−i3-1-1−i3i3000000000
χ9022-22-1-222-1-100-2111-11-1−i3i3i3−i3-22001-1−i3i3i3−i3-202011i3−i3-1-1−i3i3000000000-2-22-212-2-211002-1-1-11-11i3−i3−i3i32-200-11i3−i3−i3i320-20-1-1−i3i311i3−i3000000000
χ9122-22-1-222-1-100-2111-11-1i3−i3−i3i3-22001-1i3−i3−i3i320-20-1-1i3−i311−i3i3000000000-2-22-212-2-211002-1-1-11-11−i3i3i3−i32-200-11−i3i3i3−i3-202011−i3i3-1-1i3−i3000000000
χ9222-22-1-222-1-100-2111-11-1i3−i3−i3i3-22001-1i3−i3−i3i3-202011−i3i3-1-1i3−i3000000000-2-22-212-2-211002-1-1-11-11−i3i3i3−i32-200-11−i3i3i3−i320-20-1-1i3−i311−i3i3000000000
χ93444-2-244-2-2144-2-2111-2-2-2-2-2-2-2-2-2-2111111000000000000000000000-4-4-422-4-422-1-4-422-1-1-12222222222-1-1-1-1-1-1000000000000000000000
χ94444-2-244-2-21-4-4-2-2111-2-22222-2-22211-1-1-1-1000000000000000000000-4-4-422-4-422-14422-1-1-122-2-2-2-222-2-2-1-11111000000000000000000000
χ95444-2-2-4-4-2-214-4-2-211122-2-22222-22-1-111-1-1000000000000000000000-4-4-4224422-1-4422-1-1-1-2-222-2-2-2-22-211-1-111000000000000000000000
χ96444-2-2-4-4-2-21-44-2-21112222-2-2222-2-1-1-1-111000000000000000000000-4-4-4224422-14-422-1-1-1-2-2-2-222-2-2-221111-1-1000000000000000000000
χ9744-4-244-4-24-2002-422-24-40000-2200-220000000000000000000000000-4-442-4-442-4200-24-2-22-4400002-2002-20000000000000000000000000
χ9844-4-24-44-24-2002-422-2-4400002-2002-20000000000000000000000000-4-442-44-42-4200-24-2-224-40000-2200-220000000000000000000000000
χ9944-4-2-24-4-2-210022-1-11-22−2i32i3−2i32i3-22001-1i3−i3i3−i3000000000000000000000-4-4422-4422-100-2-211-12-22i3−2i32i3−2i32-200-11−i3i3−i3i3000000000000000000000
χ10044-4-2-24-4-2-210022-1-11-222i3−2i32i3−2i3-22001-1−i3i3−i3i3000000000000000000000-4-4422-4422-100-2-211-12-2−2i32i3−2i32i32-200-11i3−i3i3−i3000000000000000000000
χ10144-4-2-2-44-2-210022-1-112-2−2i32i32i3−2i32-200-11i3−i3−i3i3000000000000000000000-4-44224-422-100-2-211-1-222i3−2i3−2i32i3-22001-1−i3i3i3−i3000000000000000000000
χ10244-4-2-2-44-2-210022-1-112-22i3−2i3−2i32i32-200-11−i3i3i3−i3000000000000000000000-4-44224-422-100-2-211-1-22−2i32i32i3−2i3-22001-1i3−i3−i3i3000000000000000000000
χ1034-404400-4-44000000-400000000000000000000000000000000002-20-440-4-40044-400000040000000000000000000000000000000000-220
χ1044-404400-4-44000000-40000000000000000000000000000000000-220-440-4-40044-4000000400000000000000000000000000000000002-20
χ1058-808-400-84-400000040000000000000000000000000000000000000-880-84008-44000000-40000000000000000000000000000000000000
χ1068-80-48004-8-400000040000000000000000000000000000000000000-8804-800-484000000-40000000000000000000000000000000000000
χ1078-80-4-40044200006-6-20000000000000000000000000000000000000-8804400-4-4-20000-6620000000000000000000000000000000000000
χ1088-80-4-4004420000-66-20000000000000000000000000000000000000-8804400-4-4-200006-620000000000000000000000000000000000000

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