Finite Group Databasebeta

← Group #11865116

Character table — Group #11865116

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1122222222222222244444444444444444444444444444444888888888888888812121212121212121212121212121212121212121212121224242424242424242424242472727272
order1222233444466666634444666666666661212121212121212121212121212121212121212121212121212121212121212222244446666666612121212121212122444661212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ8111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ911-1-1111-1-111-1-11111111-1-1-1-11-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-11-11-11111-1-1-1-11-11-1
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χ1111-1-1111-1-111-1-11111111-1-1-1-11-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-1111-11-11111-1-1-1-1-11-11
χ1211-1-1111-1-111-1-11111111-1-1-1-11-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-111-11-11-1-1-1-111111-11-1
χ1311-1-1111-1-111-1-111111-1-111-1-11-111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-1111-1-1111-1-111-1-11-1-11
χ1411-1-1111-1-111-1-111111-1-111-1-11-111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-111-111-1-1-111-1-111-111-1
χ1511-1-1111-1-111-1-111111-1-111-1-11-111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-111-1-111-1-1-11111-1-1-1-11111-1-11-1-1111-1-111-1-1-111-1
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χ26222222-1-2-2-2-2-1-1222-1-1-22-2222-1-1-1-1-1-1-1-1-1-2-2-2-2111111-1-111-1-1-22-22111111-1-111-1-100000000−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i30000000000000000
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χ44222-2-22-1-22-22-1-1-2-22-1-100002-21111-1-111-1-22-221-11-1i3−i3−i3i3i3−i3−i3i300001-11-1i3−i3−i3i3i3−i3−i3i3-2-20022001111−i3i3−i3i3-1-1-1-1i3−i3i3−i30000000000000000
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χ46222-2-22-1-22-22-1-1-2-22-1-100002-21111-1-111-1-22-221-11-1−i3i3i3−i3−i3i3i3−i300001-11-1−i3i3i3−i3−i3i3i3−i3-2-20022001111i3−i3i3−i3-1-1-1-1−i3i3−i3i30000000000000000
χ4722-22-2222-2-22-2-2-2-22220000-22-22-2-2-2-2222-222-2-222-2000000000000-222-2000000002-200-220022-2-20000-2-22200000000000000000000
χ4822-22-2222-2-22-2-2-2-22220000-22-22-2-2-2-2222-222-2-222-2000000000000-222-200000000-22002-200-2-222000022-2-200000000000000000000
χ4922-22-222-222-2-2-2-2-22220000-22-22-2-2-2-22222-2-222-2-220000000000002-2-2200000000002-200-22000022-2-20000-2-2220000000000000000
χ5022-22-222-222-2-2-2-2-22220000-22-22-2-2-2-22222-2-222-2-220000000000002-2-220000000000-22002-20000-2-222000022-2-20000000000000000
χ5122-22-22-12-2-2211-2-22-1-10000-221-11111-1-1-1-222-21-1-11i3−i3−i3i3−i3i3i3−i300001-1-11i3−i3−i3i3−i3i3i3−i32-200-2200-1-111i3−i3−i3i311-1-1−i3i3i3−i30000000000000000
χ5222-22-22-12-2-2211-2-22-1-10000-221-11111-1-1-1-222-21-1-11i3−i3−i3i3−i3i3i3−i300001-1-11i3−i3−i3i3−i3i3i3−i3-22002-20011-1-1−i3i3i3−i3-1-111i3−i3−i3i30000000000000000
χ5322-22-22-12-2-2211-2-22-1-10000-221-11111-1-1-1-222-21-1-11−i3i3i3−i3i3−i3−i3i300001-1-11−i3i3i3−i3i3−i3−i3i32-200-2200-1-111−i3i3i3−i311-1-1i3−i3−i3i30000000000000000
χ5422-22-22-12-2-2211-2-22-1-10000-221-11111-1-1-1-222-21-1-11−i3i3i3−i3i3−i3−i3i300001-1-11−i3i3i3−i3i3−i3−i3i3-22002-20011-1-1i3−i3−i3i3-1-111−i3i3i3−i30000000000000000
χ5522-22-22-1-222-211-2-22-1-10000-221-11111-1-1-12-2-22-111-1i3−i3i3−i3−i3i3−i3i30000-111-1i3−i3i3−i3−i3i3−i3i3002-200-22i3−i3−i3i3-1-111−i3i3i3−i311-1-10000000000000000
χ5622-22-22-1-222-211-2-22-1-10000-221-11111-1-1-12-2-22-111-1i3−i3i3−i3−i3i3−i3i30000-111-1i3−i3i3−i3−i3i3−i3i300-22002-2−i3i3i3−i311-1-1i3−i3−i3i3-1-1110000000000000000
χ5722-22-22-1-222-211-2-22-1-10000-221-11111-1-1-12-2-22-111-1−i3i3−i3i3i3−i3i3−i30000-111-1−i3i3−i3i3i3−i3i3−i3002-200-22−i3i3i3−i3-1-111i3−i3−i3i311-1-10000000000000000
χ5822-22-22-1-222-211-2-22-1-10000-221-11111-1-1-12-2-22-111-1−i3i3−i3i3i3−i3i3−i30000-111-1−i3i3−i3i3i3−i3i3−i300-22002-2i3−i3−i3i311-1-1−i3i3i3−i3-1-1110000000000000000
χ5922-2-222222-2-2-2-2222222-2-22-2-22-222-2-2-2-22-2-222-2-22222-2-2-2-2222-2-22-2-22222-2-2-2-2220000000000000000000000000000000000000000
χ6022-2-222222-2-2-2-222222-222-2-2-22-222-2-2-2-22-2-222-2-222-2-22222-2-2-222-2-2-222-2-22222-2-20000000000000000000000000000000000000000
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χ6522-2-222-1-2-22211222-1-122-2-2-2-2-11-1-11111-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-111112-22-22-22-2-1-111-1-111-1-111-1-1110000000000000000
χ6622-2-222-1-2-22211222-1-122-2-2-2-2-11-1-11111-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-11111-22-22-22-2211-1-111-1-111-1-111-1-10000000000000000
χ6722-2-222-1-2-22211222-1-1-2-222-2-2-11-1-11111-122-2-2-1-1111111-1-1-1-1-2-222-1-1111111-1-1-1-12-2-222-2-22-1-11111-1-1-1-11111-1-10000000000000000
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χ7222-2-22-1222-2-2-2-2-1-1-12-1-222-2112-2-1-11111-111-1-1-2-222-2-22222-2-21-1-1111-1-111-1-1-1-1110000000000000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ7322-2-22-12-2-222-2-2-1-1-12-122-2-2112-2-1-11111-1-1-11122-2-22222-2-2-2-2-1-111-1-111-1-1-1-111110000000000000000000000002-22-2-1-1-1-111110000
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χ7744444-2-24444-2-2-2-2-2-214444-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000000
χ7844444-2-24444-2-2-2-2-2-21-4-4-4-4-2-2-2-21111111-2-2-2-2-2-2-2-22222222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ7944444-2-2-4-4-4-4-2-2-2-2-2-214-44-4-2-2-2-2111111122222222-2-222-2-222-22-22-1-1-1-111-1-111-1-10000000000000000000000000000000000000000
χ8044444-2-2-4-4-4-4-2-2-2-2-2-21-44-44-2-2-2-211111112222222222-2-222-2-22-22-2-1-1-1-1-1-111-1-1110000000000000000000000000000000000000000
χ81444-4-4-244-44-44422-24-20000-22-4-422-2-222-2-22-224-44-4000000000000-22-22000000000000000000000000000000000000000000000000
χ82444-4-4-24-44-444422-24-20000-22-4-422-2-222-22-22-2-44-440000000000002-22-2000000000000000000000000000000000000000000000000
χ83444-4-4-2-24-44-4-2-222-2-210000-2222-1-111-1-11-22-22-22-222i3−2i32i3−2i32i3−2i32i3−2i300001-11-1−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000
χ84444-4-4-2-24-44-4-2-222-2-210000-2222-1-111-1-11-22-22-22-22−2i32i3−2i32i3−2i32i3−2i32i300001-11-1i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000000000
χ85444-4-4-2-2-44-44-2-222-2-210000-2222-1-111-1-112-22-22-22-22i3−2i3−2i32i32i3−2i3−2i32i30000-11-11−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000000000
χ86444-4-4-2-2-44-44-2-222-2-210000-2222-1-111-1-112-22-22-22-2−2i32i32i3−2i3−2i32i32i3−2i30000-11-11i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000000000
χ8744-44-4-244-4-44-4-422-24-200002-2-442222-2-2-22-2-22-444-40000000000002-2-22000000000000000000000000000000000000000000000000
χ8844-44-4-24-444-4-4-422-24-200002-2-442222-2-2-2-222-24-4-44000000000000-222-2000000000000000000000000000000000000000000000000
χ8944-44-4-2-24-4-442222-2-2100002-22-2-1-1-1-11112-2-222-2-222i3−2i3−2i32i3−2i32i32i3−2i30000-111-1−i3i3i3−i3i3−i3−i3i30000000000000000000000000000000000000000
χ9044-44-4-2-24-4-442222-2-2100002-22-2-1-1-1-11112-2-222-2-22−2i32i32i3−2i32i3−2i3−2i32i30000-111-1i3−i3−i3i3−i3i3i3−i30000000000000000000000000000000000000000
χ9144-44-4-2-2-444-42222-2-2100002-22-2-1-1-1-1111-222-2-222-22i3−2i32i3−2i3−2i32i3−2i32i300001-1-11−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000000000
χ9244-44-4-2-2-444-42222-2-2100002-22-2-1-1-1-1111-222-2-222-2−2i32i3−2i32i32i3−2i32i3−2i300001-1-11i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000000000
χ9344-4-44-2-244-4-422-2-2-2-214-4-4422-2211-1-1-1-1122-2-222-2-2-2-22222-2-2-222-2-1-11111-1-1-1-1110000000000000000000000000000000000000000
χ9444-4-44-2-244-4-422-2-2-2-21-444-422-2211-1-1-1-1122-2-222-2-222-2-2-2-2222-2-22-1-111-1-11111-1-10000000000000000000000000000000000000000
χ9544-4-44-2-2-4-44422-2-2-2-2144-4-422-2211-1-1-1-11-2-222-2-222-2-2-2-22222-2-22211-1-11111-1-1-1-10000000000000000000000000000000000000000
χ9644-4-44-2-2-4-44422-2-2-2-21-4-44422-2211-1-1-1-11-2-222-2-2222222-2-2-2-222-2-211-1-1-1-1-1-111110000000000000000000000000000000000000000
χ978-80008800000000-8-8800000000000000-8000000000000000000000000000000000000000000000000000000000000000000000000
χ988-80008-400004i3−4i300-84-400000000004i3−4i3004000000000000000000000000000000000000000000000000000000000000000000000000
χ998-80008-40000−4i34i300-84-40000000000−4i34i3004000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8000-480000004i3−4i34-8-4000000004i3−4i300004000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8000-48000000−4i34i34-8-400000000−4i34i300004000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8000-4-400004i3−4i34i3−4i344200000000−2i32i3−2i32i36-6-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8000-4-400004i3−4i3−4i34i3442000000002i3−2i3−2i32i3-66-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8000-4-40000−4i34i34i3−4i344200000000−2i32i32i3−2i3-66-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8000-4-40000−4i34i3−4i34i3442000000002i3−2i32i3−2i36-6-2000000000000000000000000000000000000000000000000000000000000000000000000

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