Finite Group Databasebeta

← Group #72285549

Character table — Group #72285549

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1122222224444444444888888888888888881616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222224444444422222244444444444444444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ5111111111111111111111111111111111111-1-111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-111-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1111111-1-1-1-1
χ911111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i11-1-1-1-1ii−i−iii−i−i
χ1011111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii11-1-1-1-1−i−iii−i−iii
χ1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i111111−i−iii−i−iii
χ1211111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii111111ii−i−iii−i−i
χ1311111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111iiiiiiii−i−i−i−i−i−i−i−i111111-1-11111-1-1−i−i−i−iiiii-1-1-1-111ii−i−i−i−iii
χ1411111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111−i−i−i−i−i−i−i−iiiiiiiii111111-1-11111-1-1iiii−i−i−i−i-1-1-1-111−i−iiiii−i−i
χ1511111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-111−i−i−i−iiiii-1-111-1-1−i−iiiii−i−i
χ1611111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-111iiii−i−i−i−i-1-111-1-1ii−i−i−i−iii
χ1711-1-1-1-111111-1-11111111-1-111-1-1-1-1-1-1-1-111111-11-11-11-11-11-111-1-11111-1-1-1-11111-1-1-1-111-1-11-11-11-11-11-111-1-111-1-11-11-11-11-11-11-11-1
χ1811-1-1-1-111111-1-11111111-1-111-1-1-1-1-1-1-1-111111-11-11-11-11-11-111-1-1-1-1-1-11111-1-1-1-1111111-1-11-11-11-11-11-1-1-111-1-1111-11-11-1-11-11-11-11
χ1911-1-1-1-111111-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-11-111-1-11-1111-1-11111-1-1-1-11111-1-1-1-111-1-11-1-11-11-11-1111-1-111-1-11-1-11-11-11-11-11-11
χ2011-1-1-1-111111-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-11-111-1-11-1111-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-11-11-11-11-1-111-1-1111-1-11-111-11-11-11-1
χ2111-1-1-1-111111-1-11111111-1-111-1-1-1-1-1-1-1-11111-111-1-11-111-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-111-111-1-111-1-11-1-111-1-111-111-1-111-11-1-11-11
χ2211-1-1-1-111111-1-11111111-1-111-1-1-1-1-1-1-1-11111-111-1-11-111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-111-111-1-111-1-1111-1-111-1-1-111-1-11-11-111-11-1
χ2311-1-1-1-111111-1-11111111-1-111-1-1-1-1-1-1-1-11111-11-111-1-11-111-111-1-11111-1-1-1-11111-1-1-1-1-1-111-11-111-1-111-1-1-111-1-111-11-111-1-11-111-11-1
χ2411-1-1-1-111111-1-11111111-1-111-1-1-1-1-1-1-1-11111-11-111-1-11-111-111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-111-1-111-111-1-111-1-1-11-111-11-11-1-11-11
χ2511-1-1-1-111111-1-11-1-1-1-111-1-1-1-111111111-1-1-1-11-11-11-11-11-11-111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111-11-11-111-11-1ii−i−i−i−iii1-1-11-11i−i−iii−i−ii
χ2611-1-1-1-111111-1-11-1-1-1-111-1-1-1-111111111-1-1-1-11-11-11-11-11-11-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-11-11-111-11-1−i−iiiii−i−i1-1-11-11−iii−i−iii−i
χ2711-1-1-1-111111-1-11-1-1-1-111-1-1-1-111111111-1-1-1-11-1-11-111-1-11-1111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111-111-11-1-11-11ii−i−i−i−iii1-11-11-1−iii−i−iii−i
χ2811-1-1-1-111111-1-11-1-1-1-111-1-1-1-111111111-1-1-1-11-1-11-111-1-11-1111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-111-11-1-11-11−i−iiiii−i−i1-11-11-1i−i−iii−i−ii
χ2911-1-1-1-111111-1-11-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-11-111-1-1111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-11-1-111-11-1-11−i−iiiii−i−i-11-111-1i−i−ii−iii−i
χ3011-1-1-1-111111-1-11-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-11-111-1-1111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-11-1-111-11-1-11ii−i−i−i−iii-11-111-1−iii−ii−i−ii
χ3111-1-1-1-111111-1-11-1-1-1-111-1-1-1-111111111-1-1-1-1-11-111-1-11-111-111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-11-11-1-11-111-1−i−iiiii−i−i-111-1-11−iii−ii−i−ii
χ3211-1-1-1-111111-1-11-1-1-1-111-1-1-1-111111111-1-1-1-1-11-111-1-11-111-111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-11-11-1-11-111-1ii−i−i−i−iii-111-1-11i−i−ii−iii−i
χ332222222222222222222222222222-2-2-2-2-2-2-2-2220000220000-2-2-2-20000000000000000-2-2-2-2220000000000000000-2-2000000000000
χ342222222222222222222222222222-2-2-2-2-2-2-2-2-2-20000-2-20000-2-2-2-200000000000000002222-2-2000000000000000022000000000000
χ3522222222222222-2-2-2-22222-2-2-2-2-2-222222222220000220000-2-2-2-200000000000000002222-2-20000000000000000-2-2000000000000
χ3622222222222222-2-2-2-22222-2-2-2-2-2-222222222-2-20000-2-20000-2-2-2-20000000000000000-2-2-2-222000000000000000022000000000000
χ37222222222-2-222222-2-22-2-2-22-222-2-222-2-222-2-20000220000222-22-20000000000000000000000002200-2-2000000000000-2-200000000
χ38222222222-2-222222-2-22-2-2-22-222-2-222-2-222-2-20000-2-20000-2-22-22-2000000000000000000000000-2-200220000000000002200000000
χ39222222222-2-222222-2-22-2-2-22-222-2-2-2-222-2-222002200002200-22-2200000000000000000000002200-2-2000000000000-2-20000000000
χ40222222222-2-222222-2-22-2-2-22-222-2-2-2-222-2-22200-2-20000-2-200-22-220000000000000000000000-2-20022000000000000220000000000
χ41222222222-2-2222-2-2222-2-2-2-22-2-22222-2-222-2-2002200002200-22-220000000000000000000000-2-200-2-2000000000000220000000000
χ42222222222-2-2222-2-2222-2-2-2-22-2-22222-2-222-2-200-2-20000-2-200-22-220000000000000000000000220022000000000000-2-20000000000
χ43222222222-2-2222-2-2222-2-2-2-22-2-222-2-222-2-2220000220000222-22-2000000000000000000000000-2-200-2-20000000000002200000000
χ44222222222-2-2222-2-2222-2-2-2-22-2-222-2-222-2-2220000-2-20000-2-22-22-2000000000000000000000000220022000000000000-2-200000000
χ452222-2-22-2-2222-220000-2-22-20000002i−2i2i−2i2i−2i2i−2i220000-2-2000000001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i2i−2i2i−2i00000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ462222-2-22-2-2222-220000-2-22-20000002i−2i2i−2i2i−2i2i−2i220000-2-200000000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i2i−2i2i−2i0000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ472222-2-22-2-2222-220000-2-22-20000002i−2i2i−2i2i−2i2i−2i-2-2000022000000001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−2i2i−2i2i0000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ482222-2-22-2-2222-220000-2-22-20000002i−2i2i−2i2i−2i2i−2i-2-200002200000000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−2i2i−2i2i00000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
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χ502222-2-22-2-2222-220000-2-22-2000000−2i2i−2i2i−2i2i−2i2i220000-2-200000000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−2i2i−2i2i0000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ512222-2-22-2-2222-220000-2-22-2000000−2i2i−2i2i−2i2i−2i2i-2-2000022000000001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i2i−2i2i−2i0000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ522222-2-22-2-2222-220000-2-22-2000000−2i2i−2i2i−2i2i−2i2i-2-200002200000000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i2i−2i2i−2i00000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ5322-2-2222-2-222-2220000-2-2-220000002i−2i2i−2i−2i2i−2i2i2-20000-22000000001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−2i2i2i−2i00000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000000000
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χ6122-2-2-2-222222-2-22222222-2-222-2-2-2-22222-2-2-2-22-200002-20000-2-2220000000000000000-2-2222-20000000000000000-22000000000000
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χ6322-2-2-2-222222-2-22-2-2-2-222-2-2-2-22222-2-2-2-222222-200002-20000-2-222000000000000000022-2-2-220000000000000000-22000000000000
χ6422-2-2-2-222222-2-22-2-2-2-222-2-2-2-22222-2-2-2-22222-220000-220000-2-2220000000000000000-2-2222-200000000000000002-2000000000000
χ6522-2-2-2-2222-2-2-2-2222-2-22-2222-2-2-22222-2-2-2-222002-200002-200-222-200000000000000000000002-200-22000000000000-220000000000
χ6622-2-2-2-2222-2-2-2-2222-2-22-2222-2-2-22222-2-2-2-22200-220000-2200-222-20000000000000000000000-22002-20000000000002-20000000000
χ6722-2-2-2-2222-2-2-2-2222-2-22-2222-2-2-222-2-22222-2-200002-200002-22-2-220000000000000000000000002-200-22000000000000-2200000000
χ6822-2-2-2-2222-2-2-2-2222-2-22-2222-2-2-222-2-22222-2-20000-220000-222-2-22000000000000000000000000-22002-20000000000002-200000000
χ6922-2-2-2-2222-2-2-2-22-2-2222-222-2222-2-222-2-2-2-22200002-200002-22-2-22000000000000000000000000-2200-220000000000002-200000000
χ7022-2-2-2-2222-2-2-2-22-2-2222-222-2222-2-222-2-2-2-2220000-220000-222-2-220000000000000000000000002-2002-2000000000000-2200000000
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χ814444-4-44-4-4-4-44-440000-44-440000004i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ824444-4-44-4-4-4-44-440000-44-44000000−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ8344-4-4444-4-4004-4-4004440000-400-440000000000000000000000002-2-22-222-22-2-22-222-2000000000000000000000000000000000000
χ8444-4-4444-4-4004-4-4004440000-400-44000000000000000000000000-222-22-2-22-222-22-2-22000000000000000000000000000000000000
χ8544-4-4444-4-4004-4-400-4-4400004004-40000000000000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000
χ8644-4-4444-4-4004-4-400-4-4400004004-4000000000000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000
χ8744-4-4444-4-4-4-4-4440000-444-40000004i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ8844-4-4444-4-4-4-4-4440000-444-4000000−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ8944-4-4-4-44440044-44400-4000-40-44000000000000000000000000002-22-2-22-222-22-2-22-22000000000000000000000000000000000000
χ9044-4-4-4-44440044-44400-4000-40-4400000000000000000000000000-22-222-22-2-22-222-22-2000000000000000000000000000000000000
χ9144-4-4-4-44440044-4-4-400-4000404-4000000000000000000000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000
χ9244-4-4-4-44440044-4-4-400-4000404-400000000000000000000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000
χ93888-88-8-88-80000000000000000000000000000000440000-4-400000000000000000000000000000000000000000000000000000000
χ94888-88-8-88-80000000000000000000000000000000-4-400004400000000000000000000000000000000000000000000000000000000
χ95888-8-88-8-8800000000000000000000000000000440000-4-40000000000000000000000000000000000000000000000000000000000
χ96888-8-88-8-8800000000000000000000000000000-4-40000440000000000000000000000000000000000000000000000000000000000
χ9788-888-8-8-88000000000000000000000000000004-40000-440000000000000000000000000000000000000000000000000000000000
χ9888-888-8-8-8800000000000000000000000000000-4400004-40000000000000000000000000000000000000000000000000000000000
χ9988-88-88-88-800000000000000000000000000000004-40000-4400000000000000000000000000000000000000000000000000000000
χ10088-88-88-88-80000000000000000000000000000000-4400004-400000000000000000000000000000000000000000000000000000000
χ10116-1600000008-80008-88-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-1600000008-8000-88-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-160000000-880008-8-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-160000000-88000-888-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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