Finite Group Databasebeta

← Group #11798708

Character table — Group #11798708

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222224444444444444448888888888888888888888888888888888881616161616161616161616161672727272144144
order122333366662246666121212121212121224446666666666666666121212121212121212121212121212128121212122424242424242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1
χ41111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11
χ511111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ711111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-11-1-11
χ811111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-11-111-1
χ9222222222222-2-22222-2-2-2-2-2-2-2-200002222-2-2-2-20000000000000000000000000000000000000020-200
χ10222222222222-2-22222-2-2-2-2-2-2-2-200002222-2-2-2-200000000000000000000000000000000000000-20200
χ1122222222222-22-22222-2-2-2-2-2-2-2-20000-2-2-2-22222000000000000000000000000000000000000020-2000
χ1222222222222-22-22222-2-2-2-2-2-2-2-20000-2-2-2-222220000000000000000000000000000000000000-202000
χ1322222222222-2-22222222222222002-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-20222200000000000000
χ1422222222222-2-2222222222222200-22-2-2-2-2-2-2-2-20000000000000000222222220-2-2-2-200000000000000
χ152222-1-1-12-1-1-12222-1-1-122-1-1-1-1-1-122222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1000000
χ162222-1-1-12-1-1-12222-1-1-122-1-1-1-1-1-122-2-22-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111-2-2111111000000
χ172222-1-1-12-1-1-12222-1-1-122-1-1-1-1-1-1-2-2222-1-1-12-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1-22-1-1-1-2-2111111000000
χ182222-1-1-12-1-1-12222-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2111111-2-2111111-2-21111112-211122-1-1-1-1-1-1000000
χ192222-1-1-12-1-1-1-2-222-1-1-122-1-1-1-1-1-1002-2-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3-2-211111102-1-1-100−i3−i3−i3i3i3i3000000
χ202222-1-1-12-1-1-1-2-222-1-1-122-1-1-1-1-1-1002-2-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3-2-211111102-1-1-100i3i3i3−i3−i3−i3000000
χ212222-1-1-12-1-1-1-2-222-1-1-122-1-1-1-1-1-100-22-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i322-1-1-1-1-1-10-211100i3i3i3−i3−i3−i3000000
χ222222-1-1-12-1-1-1-2-222-1-1-122-1-1-1-1-1-100-22-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i322-1-1-1-1-1-10-211100−i3−i3−i3i3i3i3000000
χ23222-12-1-1-12-1-1222-12-1-1-1-122-1-1-1-12222-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1-1-122-1-1-1-12-12-1-1-1-12-1-12-1-1000000
χ24222-12-1-1-12-1-1222-12-1-1-1-122-1-1-1-122-2-2-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-111-2-21111-21-21111-211-211000000
χ25222-12-1-1-12-1-1222-12-1-1-1-122-1-1-1-1-2-222-12-1-1-12-1-111-211-21111-211-211-1-122-1-1-1-1-2-12-1-111-211-211000000
χ26222-12-1-1-12-1-1222-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-12-1-111-211-21111-211-21111-2-2111121-211-1-12-1-12-1-1000000
χ27222-12-1-1-12-1-1-2-22-12-1-1-1-122-1-1-1-1002-21-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i311-2-211110-12-1-1−i3i30−i3i30−i3i3000000
χ28222-12-1-1-12-1-1-2-22-12-1-1-1-122-1-1-1-1002-21-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i311-2-211110-12-1-1i3−i30i3−i30i3−i3000000
χ29222-12-1-1-12-1-1-2-22-12-1-1-1-122-1-1-1-100-221-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3-1-122-1-1-1-101-211i3−i30i3−i30i3−i3000000
χ30222-12-1-1-12-1-1-2-22-12-1-1-1-122-1-1-1-100-221-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3-1-122-1-1-1-101-211−i3i30−i3i30−i3i3000000
χ31222-1-12-1-1-12-1222-1-12-1-1-1-1-122-1-12222-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-12-1-12-1-1-1-12-1-1-12000000
χ32222-1-12-1-1-12-1222-1-12-1-1-1-1-122-1-122-2-2-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-121111-2-211-211-21111-2111-2000000
χ33222-1-12-1-1-12-1222-1-12-1-1-1-1-122-1-1-2-222-1-12-1-1-12-1111-2111-2111-2111-2-1-1-1-122-1-1-2-1-12-1111-2111-2000000
χ34222-1-12-1-1-12-1222-1-12-1-1-1-1-122-1-1-2-2-2-2-1-12-1-1-12-1111-2111-2111-2111-21111-2-211211-21-1-1-12-1-1-12000000
χ35222-1-12-1-1-12-1-2-22-1-12-1-1-1-1-122-1-1002-211-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i301111-2-2110-1-12-1−i3i3i30−i3−i3i30000000
χ36222-1-12-1-1-12-1-2-22-1-12-1-1-1-1-122-1-1002-211-2111-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i301111-2-2110-1-12-1i3−i3−i30i3i3−i30000000
χ37222-1-12-1-1-12-1-2-22-1-12-1-1-1-1-122-1-100-2211-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30-1-1-1-122-1-1011-21i3−i3−i30i3i3−i30000000
χ38222-1-12-1-1-12-1-2-22-1-12-1-1-1-1-122-1-100-2211-2111-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30-1-1-1-122-1-1011-21−i3i3i30−i3−i3i30000000
χ39222-1-1-12-1-1-12222-1-1-12-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-1-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1222-1-1-12-1-1-1-12-12-1000000
χ40222-1-1-12-1-1-12222-1-1-12-1-1-1-1-1-12222-2-2-1-1-12-1-1-12-1-1-1-12-12-1-1-1-1-12-12-1111111-2-2-2111-21111-21-21000000
χ41222-1-1-12-1-1-12222-1-1-12-1-1-1-1-1-122-2-222-1-1-12-1-1-121111-21-211111-21-21-1-1-1-1-1-122-2-1-1-121111-21-21000000
χ42222-1-1-12-1-1-12222-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-12-1-1-121111-21-211111-21-21111111-2-22111-2-1-1-1-12-12-1000000
χ43222-1-1-12-1-1-12-2-22-1-1-12-1-1-1-1-1-122002-2111-2111-2−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3111111-2-20-1-1-12−i3i3−i3i30i30−i3000000
χ44222-1-1-12-1-1-12-2-22-1-1-12-1-1-1-1-1-122002-2111-2111-2i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3111111-2-20-1-1-12i3−i3i3−i30−i30i3000000
χ45222-1-1-12-1-1-12-2-22-1-1-12-1-1-1-1-1-12200-22111-2111-2−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3-1-1-1-1-1-1220111-2i3−i3i3−i30−i30i3000000
χ46222-1-1-12-1-1-12-2-22-1-1-12-1-1-1-1-1-12200-22111-2111-2i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3-1-1-1-1-1-1220111-2−i3i3−i3i30i30−i3000000
χ474444-2-2-24-2-2-24-4-44-2-2-2-4-422222200004-2-2-2-42220000000000000000000000000000000000000000000
χ484444-2-2-24-2-2-2-44-44-2-2-2-4-42222220000-42224-2-2-20000000000000000000000000000000000000000000
χ49444-24-2-2-24-2-24-4-4-24-2-222-4-422220000-24-2-22-4220000000000000000000000000000000000000000000
χ50444-24-2-2-24-2-2-44-4-24-2-222-4-4222200002-422-24-2-20000000000000000000000000000000000000000000
χ51444-2-24-2-2-24-24-4-4-2-24-22222-4-4220000-2-24-222-420000000000000000000000000000000000000000000
χ52444-2-24-2-2-24-2-44-4-2-24-22222-4-422000022-42-2-24-20000000000000000000000000000000000000000000
χ53444-2-2-24-2-2-244-4-4-2-2-24222222-4-40000-2-2-24222-40000000000000000000000000000000000000000000
χ54444-2-2-24-2-2-24-44-4-2-2-24222222-4-40000222-4-2-2-240000000000000000000000000000000000000000000
χ5544-444444444000-4-4-4-4000000002-2000000000022222222-2-2-2-2-2-2-2-2000000000000000000000000000
χ5644-444444444000-4-4-4-400000000-220000000000-2-2-2-2-2-2-2-222222222000000000000000000000000000
χ5744-44-2-2-24-2-2-2000-422200−2i32i3−2i32i3−2i32i32-2000000000022−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i3000000000000000000000000000
χ5844-44-2-2-24-2-2-2000-422200−2i32i3−2i32i3−2i32i3-220000000000-2-21+i31+i31+i31−i31−i31−i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000000000000000000000
χ5944-44-2-2-24-2-2-2000-4222002i3−2i32i3−2i32i3−2i32-2000000000022−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i3000000000000000000000000000
χ6044-44-2-2-24-2-2-2000-4222002i3−2i32i3−2i32i3−2i3-220000000000-2-21−i31−i31−i31+i31+i31+i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000000000000000000000
χ6144-4-24-2-2-24-2-20002-422−2i32i300−2i32i32i3−2i32-20000000000−1−i3−1+i32−1−i3−1+i32−1−i3−1+i31+i31−i3-21+i31−i3-21+i31−i3000000000000000000000000000
χ6244-4-24-2-2-24-2-20002-422−2i32i300−2i32i32i3−2i3-2200000000001+i31−i3-21+i31−i3-21+i31−i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000000000000000000000
χ6344-4-24-2-2-24-2-20002-4222i3−2i3002i3−2i3−2i32i32-20000000000−1+i3−1−i32−1+i3−1−i32−1+i3−1−i31−i31+i3-21−i31+i3-21−i31+i3000000000000000000000000000
χ6444-4-24-2-2-24-2-20002-4222i3−2i3002i3−2i3−2i32i3-2200000000001−i31+i3-21−i31+i3-21−i31+i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000000000000000000000
χ6544-4-2-24-2-2-24-200022-42−2i32i32i3−2i300−2i32i32-20000000000−1−i3−1+i3−1+i32−1−i3−1−i3−1+i321+i31−i31−i3-21+i31+i31−i3-2000000000000000000000000000
χ6644-4-2-24-2-2-24-200022-42−2i32i32i3−2i300−2i32i3-2200000000001+i31−i31−i3-21+i31+i31−i3-2−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32000000000000000000000000000
χ6744-4-2-24-2-2-24-200022-422i3−2i3−2i32i3002i3−2i32-20000000000−1+i3−1−i3−1−i32−1+i3−1+i3−1−i321−i31+i31+i3-21−i31−i31+i3-2000000000000000000000000000
χ6844-4-2-24-2-2-24-200022-422i3−2i3−2i32i3002i3−2i3-2200000000001−i31+i31+i3-21−i31−i31+i3-2−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32000000000000000000000000000
χ6944-4-2-2-24-2-2-24000222-4−2i32i3−2i32i32i3−2i3002-20000000000−1−i3−1+i3−1−i3−1+i32−1+i32−1−i31+i31−i31+i31−i3-21−i3-21+i3000000000000000000000000000
χ7044-4-2-2-24-2-2-24000222-4−2i32i3−2i32i32i3−2i300-2200000000001+i31−i31+i31−i3-21−i3-21+i3−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3000000000000000000000000000
χ7144-4-2-2-24-2-2-24000222-42i3−2i32i3−2i3−2i32i3002-20000000000−1+i3−1−i3−1+i3−1−i32−1−i32−1+i31−i31+i31−i31+i3-21+i3-21−i3000000000000000000000000000
χ7244-4-2-2-24-2-2-24000222-42i3−2i32i3−2i3−2i32i300-2200000000001−i31+i31−i31+i3-21+i3-21−i3−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3000000000000000000000000000
χ738-808888-8-8-8-80000000000000000000000000000000000000000000000000000000000000000000000
χ748-808-4-4-4-844400000000000000000000000000000000000000000000023−2323−2323−230000000000000000000
χ758-808-4-4-4-8444000000000000000000000000000000000000000000000−2323−2323−23230000000000000000000
χ768-80-48-4-44-844000000000000000000000000000000000000000000023−230023−23−23230000000000000000000
χ778-80-48-4-44-8440000000000000000000000000000000000000000000−232300−232323−230000000000000000000
χ788-80-4-48-444-84000000000000000000000000000000000000000000023−23−23230023−230000000000000000000
χ798-80-4-48-444-840000000000000000000000000000000000000000000−232323−2300−23230000000000000000000
χ808-80-4-4-48444-8000000000000000000000000000000000000000000023−2323−23−2323000000000000000000000
χ818-80-4-4-48444-80000000000000000000000000000000000000000000−2323−232323−23000000000000000000000

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