Finite Group Databasebeta

← Group #11785595

Character table — Group #11785595

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222223344446666666666366666666612121212121212128888441212121212121212121212121212121212121212224488242424242424242444668812121212121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1
χ91-11-11-1111-11-111-1-1-11-1-11-111-111-1-1-11-11-1-111-11-111-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1-11-11-11111-1-1-1-1i−i1-1i−i1-1ii−i−iii−i−i11-1-1i−i
χ101-11-11-1111-11-111-1-1-11-1-11-111-111-1-1-11-11-1-111-11-111-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-11-111-11111-1-1-1-1i−i-11−ii-11ii−i−i−i−iii-1-111−ii
χ111-11-11-1111-11-111-1-1-11-1-11-111-111-1-1-11-11-1-111-11-111-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1-11-11-11111-1-1-1-1−ii1-1−ii1-1−i−iii−i−iii11-1-1−ii
χ121-11-11-1111-11-111-1-1-11-1-11-111-111-1-1-11-11-1-111-11-111-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-11-111-11111-1-1-1-1−ii-11i−i-11−i−iiiii−i−i-1-111i−i
χ131-11-11-1111-11-111-1-1-11-1-11-111-111-1-1-11-11-1-111-11-1-1-111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1-11-1-11-1-1-1-11111−ii1-1i−i1-1−i−iiiii−i−i-1-111−ii
χ141-11-11-1111-11-111-1-1-11-1-11-111-111-1-1-11-11-1-111-11-1-1-111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-11-11-11-1-1-1-11111−ii-11−ii-11−i−iii−i−iii11-1-1i−i
χ151-11-11-1111-11-111-1-1-11-1-11-111-111-1-1-11-11-1-111-11-1-1-111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1-11-1-11-1-1-1-11111i−i1-1−ii1-1ii−i−i−i−iii-1-111i−i
χ161-11-11-1111-11-111-1-1-11-1-11-111-111-1-1-11-11-1-111-11-1-1-111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-11-11-11-1-1-1-11111i−i-11i−i-11ii−i−iii−i−i11-1-1−ii
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-2000000000000000000000000000000000000002i−2i2i−2i00
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-200000000000000000000000000000000000000−2i2i−2i2i00
χ192222222-122222222-122-1-12-1-1-1-1-1-1-1-1-1-1222-1-1-12-100002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-122-1-10000-1-1-1-1000000
χ202222222-122222222-122-1-12-1-1-1-1-1-1-1-1-1-1222-1-1-12-100002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000000011-2-21100001111000000
χ212222222-122222222-122-1-12-1-1-1-1-1-1-1-1-1-1222-1-1-12-10000-2-2-2-211-2-211-1-1-1-1111111112222000000000000-1-1-2-2-1-100001111000000
χ222222222-122222222-122-1-12-1-1-1-1-1-1-1-1-1-1222-1-1-12-10000-2-2-2-211-2-211-1-1-1-111111111-2-2-2-20000000000001122110000-1-1-1-1000000
χ23222222-122222-1-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1222-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-122000000-1-1-1-10000000000
χ24222222-122222-1-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1222-122222-2-211-2-211-2-2-1-1-1-111111111000022-1-1-1-1-1-1-1-1-2-200000011110000000000
χ25222222-122222-1-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111-2-200000011110000000000
χ26222222-122222-1-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-2-2-211-2-211-2-2-1-1-1-1111111110000-2-21111111122000000-1-1-1-10000000000
χ272222-2-2222-2-22-2-2-2-22222222-2-2-2-22-2-22222-22-2-2-22000000000000002-22-20000000022-2-20000000000002200-2-200000000000000
χ282222-2-2222-2-22-2-2-2-22222222-2-2-2-22-2-22222-22-2-2-22000000000000002-22-200000000-2-222000000000000-2-2002200000000000000
χ292222-2-222-222-2-2-2-2-22222222-2-2-2-22-2-222-2-22-2222-222220000000000-22-22000000000000-2-222-2-222-2-20000000000000000000000
χ302222-2-222-222-2-2-2-2-22222222-2-2-2-22-2-222-2-22-2222-2-2-2-2-20000000000-22-2200000000000022-2-222-2-2220000000000000000000000
χ312222-2-22-12-2-22-2-2-2-2-122-1-12-11111-111-1-122-2-111-2-100000000−i3i300−i3i3-11-11−i3−i3i3i3−i3−i3i3i322-2-2000000000000-1-100110000−i3i3−i3i3000000
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χ332222-2-22-12-2-22-2-2-2-2-122-1-12-11111-111-1-122-2-111-2-100000000i3−i300i3−i3-11-11i3i3−i3−i3i3i3−i3−i322-2-2000000000000-1-100110000i3−i3i3−i3000000
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χ352222-2-2-12-222-211112-1-122-1-1-2-211-111-1-111-1-222-1-2222200−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i30000-2-2-1-111-1-11100000000−i3i3−i3i30000000000
χ362222-2-2-12-222-211112-1-122-1-1-2-211-111-1-111-1-222-1-2222200i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i30000-2-2-1-111-1-11100000000i3−i3i3−i30000000000
χ372222-2-2-12-222-211112-1-122-1-1-2-211-111-1-111-1-222-1-2-2-2-2-200−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i300002211-1-111-1-100000000i3−i3i3−i30000000000
χ382222-2-2-12-222-211112-1-122-1-1-2-211-111-1-111-1-222-1-2-2-2-2-200i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i300002211-1-111-1-100000000−i3i3−i3i30000000000
χ392-22-22-222-22-2222-2-2-22-2-22-222-222-2-2-22-2-222-2-22-2200000000000000-2-222000000000000000000000000000000000000002i−2i−2i2i00
χ402-22-22-222-22-2222-2-2-22-2-22-222-222-2-2-22-2-222-2-22-2200000000000000-2-22200000000000000000000000000000000000000−2i2i2i−2i00
χ412-22-22-22-12-22-222-2-212-21-1-2-1-11-1-1111-112-2-2-1-112100002i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii2-22-2000000000000-112i−2i-110000−i−iii000000
χ422-22-22-22-12-22-222-2-212-21-1-2-1-11-1-1111-112-2-2-1-112100002i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii-22-220000000000001-1−2i2i1-10000ii−i−i000000
χ432-22-22-22-12-22-222-2-212-21-1-2-1-11-1-1111-112-2-2-1-11210000−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i2-22-2000000000000-11−2i2i-110000ii−i−i000000
χ442-22-22-22-12-22-222-2-212-21-1-2-1-11-1-1111-112-2-2-1-11210000−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i-22-220000000000001-12i−2i1-10000−i−iii000000
χ452-22-22-2-122-22-2-1-111-2-11-221-12-2-1-1111-11-11122-2-1-222-2-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii00002-2-1-1-1-111112i−2i000000−i−iii0000000000
χ462-22-22-2-122-22-2-1-111-2-11-221-12-2-1-1111-11-11122-2-1-222-2-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i00002-2-1-1-1-11111−2i2i000000ii−i−i0000000000
χ472-22-22-2-122-22-2-1-111-2-11-221-12-2-1-1111-11-11122-2-1-2-2-2222i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii0000-221111-1-1-1-1−2i2i000000ii−i−i0000000000
χ482-22-22-2-122-22-2-1-111-2-11-221-12-2-1-1111-11-11122-2-1-2-2-222−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i0000-221111-1-1-1-12i−2i000000−i−iii0000000000
χ492-22-2-222222-2-2-2-222-22-2-22-22-22-2-2-2222-22-222-22-2-2000000000000002-2-22000000002-2-220000000000002-200-2200000000000000
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χ522-22-2-2222-2-222-2-222-22-2-22-22-22-2-2-2222-2-22-2-22-222-2-2220000000000-222-20000000000002-2-2-22222-2-20000000000000000000000
χ532-22-2-222-122-2-2-2-22212-21-1-2-11-1111-1-1-112-22-11-1-21000000003−300−33-111-133−3−3−3−3332-2-22000000000000-11001-100003−3−33000000
χ542-22-2-222-122-2-2-2-22212-21-1-2-11-1111-1-1-112-22-11-1-21000000003−300−33-111-133−3−3−3−333-222-20000000000001-100-110000−333−3000000
χ552-22-2-222-122-2-2-2-22212-21-1-2-11-1111-1-1-112-22-11-1-2100000000−33003−3-111-1−3−33333−3−32-2-22000000000000-11001-10000−333−3000000
χ562-22-2-222-122-2-2-2-22212-21-1-2-11-1111-1-1-112-22-11-1-2100000000−33003−3-111-1−3−33333−3−3-222-20000000000001-100-1100003−3−33000000
χ572-22-2-22-12-2-22211-1-1-2-11-221-1-22111-1-1-111-11-22-2-1222-2-2003−300−33001-1-113−33−3−33−330000-22-1-11111-1-1000000003−3−330000000000
χ582-22-2-22-12-2-22211-1-1-2-11-221-1-22111-1-1-111-11-22-2-1222-2-200−33003−3001-1-11−33−333−33−30000-22-1-11111-1-100000000−333−30000000000
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χ934-4-4400-240000−2i32i32i3−2i3422-4-4-2-200−2i32i3-22i3−2i32200000000−2i22i22i2−2i20000000000000000000000000000i2−i26−6−i2i2−660000000000000000000000
χ944-4-4400-240000−2i32i32i3−2i3422-4-4-2-200−2i32i3-22i3−2i322000000002i2−2i2−2i22i20000000000000000000000000000−i2i2−66i2−i26−60000000000000000000000
χ954-4-4400-2400002i3−2i3−2i32i3422-4-4-2-2002i3−2i3-2−2i32i32200000000−2i22i22i2−2i20000000000000000000000000000i2−i2−66−i2i26−60000000000000000000000
χ964-4-4400-2400002i3−2i3−2i32i3422-4-4-2-2002i3−2i3-2−2i32i322000000002i2−2i2−2i22i20000000000000000000000000000−i2i26−6i2−i2−660000000000000000000000
χ9788-8-8008-4000000004-88-44-8-400004004-40000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000−4i34i3−4i34i344-4-4442002i3−2i3-22i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400004i3−4i34i3−4i344-4-444200−2i32i3-2−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-400000000-4-8-8448-40000-400440000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000−4i34i34i3−4i3-44444-42002i3−2i32−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004i3−4i3−4i34i3-44444-4200−2i32i322i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000000000

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