Finite Group Databasebeta

← Group #11798769

Character table — Group #11798769

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11222224444444444488888888888888888888888888888242424242424242448484848484848487272144
order12233663444666121212122466666666612121212121212121212121212121212121244441212121288121224242424248
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-11-111-1-11-11-111-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-11-11-1-111-11-11-1-111-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-111-1
χ6111111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-11-11-111-1-1-111-1-1-111-1-11
χ7111111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-1-11-11-1-1111-1-1111-1-1-1-11
χ8111111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1
χ9222222222-2-222222-2-2000000200002-2-2-2000022-2-2-2-20000020-200-2-200020000000
χ10222222222-2-222222-2-2000000200002-2-2-2000022-2-2-2-200000-2020022000-20000000
χ1122222222-22-2222-2-22200000020000-22-2-20000-2-222-2-2000020-20-2-20000200000000
χ1222222222-22-2222-2-22200000020000-22-2-20000-2-222-2-20000-2020220000-200000000
χ1322222222-2-22222-2-2-2-200000020000-2-2220000-2-2-2-222000000000000000000002-20
χ1422222222-2-22222-2-2-2-200000020000-2-2220000-2-2-2-22200000000000000000000-220
χ152222-12-1-12222-1-122-1-12222-1-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-12020-1-10020-10-1-100000
χ162222-12-1-12222-1-122-1-12222-1-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1-20-201100-20101100000
χ172222-12-1-12222-1-122-1-1-2-2-2-211-11111-122-1-2-211-1-1-1-1-1-111112020-1-100-20-101100000
χ182222-12-1-12222-1-122-1-1-2-2-2-211-11111-122-1-2-211-1-1-1-1-1-11111-20-2011002010-1-100000
χ192222-12-1-1-22-22-1-1-2-2-1-10000i3−i3-1i3i3−i3−i312-2100i3−i311-1-111i3i3−i3−i320-20110000-10i3−i300000
χ202222-12-1-1-22-22-1-1-2-2-1-10000i3−i3-1i3i3−i3−i312-2100i3−i311-1-111i3i3−i3−i3-2020-1-1000010−i3i300000
χ212222-12-1-1-22-22-1-1-2-2-1-10000−i3i3-1−i3−i3i3i312-2100−i3i311-1-111−i3−i3i3i320-20110000-10−i3i300000
χ222222-12-1-1-22-22-1-1-2-2-1-10000−i3i3-1−i3−i3i3i312-2100−i3i311-1-111−i3−i3i3i3-2020-1-1000010i3−i300000
χ23222-12-12-1222-12-1-1-12222-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-1-1-1-1-1020200-1-1020-100-1-1000
χ24222-12-12-1222-12-1-1-12222-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-1-1-1-1-10-20-200110-2010011000
χ25222-12-12-1222-12-1-1-122-2-211-2-2-111112-1-1211-2-2-1-1-1-1-1-11111020200-1-10-20-10011000
χ26222-12-12-1222-12-1-1-122-2-211-2-2-111112-1-1211-2-2-1-1-1-1-1-111110-20-20011020100-1-1000
χ27222-12-12-12-2-2-12-1-1-1-2-200i3−i300-1i3−i3i3−i3211-2i3−i300-1-11111i3−i3i3−i3020-20011000-100i3−i3000
χ28222-12-12-12-2-2-12-1-1-1-2-200i3−i300-1i3−i3i3−i3211-2i3−i300-1-11111i3−i3i3−i30-20200-1-1000100−i3i3000
χ29222-12-12-12-2-2-12-1-1-1-2-200−i3i300-1−i3i3−i3i3211-2−i3i300-1-11111−i3i3−i3i3020-20011000-100−i3i3000
χ30222-12-12-12-2-2-12-1-1-1-2-200−i3i300-1−i3i3−i3i3211-2−i3i300-1-11111−i3i3−i3i30-20200-1-1000100i3−i3000
χ314444-24-2-24-4-44-2-24422000000-20000-2-4-420000-2-2222200000000000000000000000
χ324444-24-2-2-4-444-2-2-4-422000000-200002-44-200002222-2-200000000000000000000000
χ33444-24-24-2-44-4-24-22244000000-20000-4-22-4000022-2-22200000000000000000000000
χ34444-24-24-2-4-44-24-222-4-4000000-20000-42-2400002222-2-200000000000000000000000
χ35444-2-2-2-21444-2-21-2-2-2-244-2-2-2-211111-2-2-2-2-2-2-2-211111111110000000000000000000
χ36444-2-2-2-21444-2-21-2-2-2-2-4-422221-1-1-1-1-2-2-2-22222111111-1-1-1-10000000000000000000
χ37444-2-2-2-214-4-4-2-21-2-222002i3−2i3001−i3i3−i3i3-22222i3−2i30011-1-1-1-1−i3i3−i3i30000000000000000000
χ38444-2-2-2-214-4-4-2-21-2-22200−2i32i3001i3−i3i3−i3-2222−2i32i30011-1-1-1-1i3−i3i3−i30000000000000000000
χ39444-2-2-2-21-44-4-2-2122-2-200002i3−2i31−i3−i3i3i32-222002i3−2i3-1-111-1-1−i3−i3i3i30000000000000000000
χ40444-2-2-2-21-44-4-2-2122-2-20000−2i32i31i3i3−i3−i32-22200−2i32i3-1-111-1-1i3i3−i3−i30000000000000000000
χ41444-2-2-2-21-4-44-2-21222200000013-3-3322-2-20000-1-1-1-1113-3-330000000000000000000
χ42444-2-2-2-21-4-44-2-2122220000001-333-322-2-20000-1-1-1-111-333-30000000000000000000
χ4344-444444000-4-4400002-22222-422220000-2-2-2-2000000-2-2-2-20000000000000000000
χ4444-444444000-4-440000-22-2-2-2-2-4-2-2-2-20000222200000022220000000000000000000
χ4544-44-24-2-2000-42-2002i3−2i32-222−1+i3−1−i32−1+i3−1+i3−1−i3−1−i30000-2-21−i31+i3002i3−2i3001−i31−i31+i31+i30000000000000000000
χ4644-44-24-2-2000-42-2002i3−2i3-22-2-21−i31+i321−i31−i31+i31+i3000022−1+i3−1−i3002i3−2i300−1+i3−1+i3−1−i3−1−i30000000000000000000
χ4744-44-24-2-2000-42-200−2i32i32-222−1−i3−1+i32−1−i3−1−i3−1+i3−1+i30000-2-21+i31−i300−2i32i3001+i31+i31−i31−i30000000000000000000
χ4844-44-24-2-2000-42-200−2i32i3-22-2-21+i31−i321+i31+i31−i31−i3000022−1−i3−1+i300−2i32i300−1−i3−1−i3−1+i3−1+i30000000000000000000
χ4944-4-24-24-20002-4-22i3−2i3002-2−1+i3−1−i3222−1+i3−1−i3−1+i3−1−i300001−i31+i3-2-22i3−2i300001−i31+i31−i31+i30000000000000000000
χ5044-4-24-24-20002-4-22i3−2i300-221−i31+i3-2-221−i31+i31−i31+i30000−1+i3−1−i3222i3−2i30000−1+i3−1−i3−1+i3−1−i30000000000000000000
χ5144-4-24-24-20002-4-2−2i32i3002-2−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i300001+i31−i3-2-2−2i32i300001+i31−i31+i31−i30000000000000000000
χ5244-4-24-24-20002-4-2−2i32i300-221+i31−i3-2-221+i31−i31+i31−i30000−1−i3−1+i322−2i32i30000−1−i3−1+i3−1−i3−1+i30000000000000000000
χ5344-4-2-2-2-210002212i3−2i32i3−2i32-2−1+i3−1−i3−1+i3−1−i3-12−i3-1-12+i300001−i31+i31−i31+i3−i3i3−i3i33-3−2+i311−2−i30000000000000000000
χ5444-4-2-2-2-210002212i3−2i32i3−2i3-221−i31+i31−i31+i3-1−2+i311−2−i30000−1+i3−1−i3−1+i3−1−i3−i3i3−i3i33-32−i3-1-12+i30000000000000000000
χ5544-4-2-2-2-210002212i3−2i3−2i32i32-2−1+i3−1−i3−1−i3−1+i3-1-12+i32−i3-100001−i31+i31+i31−i3−i3i3i3−i3-331−2−i3−2+i310000000000000000000
χ5644-4-2-2-2-210002212i3−2i3−2i32i3-221−i31+i31+i31−i3-11−2−i3−2+i310000−1+i3−1−i3−1−i3−1+i3−i3i3i3−i3-33-12+i32−i3-10000000000000000000
χ5744-4-2-2-2-21000221−2i32i32i3−2i32-2−1−i3−1+i3−1+i3−1−i3-1-12−i32+i3-100001+i31−i31−i31+i3i3−i3−i3i3-331−2+i3−2−i310000000000000000000
χ5844-4-2-2-2-21000221−2i32i32i3−2i3-221+i31−i31−i31+i3-11−2+i3−2−i310000−1−i3−1+i3−1+i3−1−i3i3−i3−i3i3-33-12−i32+i3-10000000000000000000
χ5944-4-2-2-2-21000221−2i32i3−2i32i32-2−1−i3−1+i3−1−i3−1+i3-12+i3-1-12−i300001+i31−i31+i31−i3i3−i3i3−i33-3−2−i311−2+i30000000000000000000
χ6044-4-2-2-2-21000221−2i32i3−2i32i3-221+i31−i31+i31−i3-1−2−i311−2+i30000−1−i3−1+i3−1−i3−1+i3i3−i3i3−i33-32+i3-1-12−i30000000000000000000
χ618-8088-8-8800000-80000000000000000000000000000000000000000000000000000
χ628-808-4-84-400000400000000000000000000000000000000000002i3−2i30000000000000
χ638-808-4-84-40000040000000000000000000000000000000000000−2i32i30000000000000
χ648-80-484-8-40000040000000000000000000000000000000000000002i3−2i300000000000
χ658-80-484-8-4000004000000000000000000000000000000000000000−2i32i300000000000
χ6616-160-8-888400000-40000000000000000000000000000000000000000000000000000

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