Finite Group Databasebeta

← Group #11798625

Character table — Group #11798625

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222224444444444444448888888888888888888888888888888888881616161616161616161616161672727272144144
order122333366662246666666666662244666666666666666666661212121212121212121212124121212121212121212121212244448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111111111111-11-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1
χ4111111111111111111111111111-11-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11
χ511111111111111111111111111-11-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-11-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ711111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111111-11-1-11
χ811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111111111-11-111-1
χ9222222222222-2-2222222222222020-2-2-2-2-20000000022222222-2-2-2-2000000000-2-2-2-200000000000000
χ10222222222222-2-22222222222220-202-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2000000000222200000000000000
χ1122222222222-22-22222-2-2-2-2-2-2-2-2000022220000000000000000-2-2-2-200000000000000000000020-2000
χ1222222222222-22-22222-2-2-2-2-2-2-2-2000022220000000000000000-2-2-2-2000000000000000000000-202000
χ1322222222222-2-222222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000002222000000000000000000000020-200
χ1422222222222-2-222222-2-2-2-2-2-2-2-20000-2-2-2-2000000000000000022220000000000000000000000-20200
χ152222-1-1-12-1-1-12222-1-1-122-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1000000
χ162222-1-1-12-1-1-12222-1-1-122-1-1-1-1-1-12-22-22-1-1-122-1-1-1-1-1-1-2-21111112-1-1-122-1-1-1-1-1-1-2-2111-2-2111111000000
χ172222-1-1-12-1-1-12222-1-1-122-1-1-1-1-1-1-22-222-1-1-1-2-211111122-1-1-1-1-1-12-1-1-1-2-2111111-22-1-1-1-2-2111111000000
χ182222-1-1-12-1-1-12222-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-1-2-2111111-2-21111112-1-1-1-2-21111112-211122-1-1-1-1-1-1000000
χ192222-1-1-12-1-1-12-2-22-1-1-122-1-1-1-1-1-1020-2-211100i3i3i3−i3−i3−i322-1-1-1-1-1-1-211100i3i3i3−i3−i3−i30-211100i3i3i3−i3−i3−i3000000
χ202222-1-1-12-1-1-12-2-22-1-1-122-1-1-1-1-1-1020-2-211100−i3−i3−i3i3i3i322-1-1-1-1-1-1-211100−i3−i3−i3i3i3i30-211100−i3−i3−i3i3i3i3000000
χ212222-1-1-12-1-1-12-2-22-1-1-122-1-1-1-1-1-10-202-211100i3i3i3−i3−i3−i3-2-2111111-211100i3i3i3−i3−i3−i302-1-1-100−i3−i3−i3i3i3i3000000
χ222222-1-1-12-1-1-12-2-22-1-1-122-1-1-1-1-1-10-202-211100−i3−i3−i3i3i3i3-2-2111111-211100−i3−i3−i3i3i3i302-1-1-100i3i3i3−i3−i3−i3000000
χ23222-12-1-1-12-1-1222-12-1-1-1-122-1-1-1-12222-12-1-1-1-12-1-12-1-1-1-122-1-1-1-1-12-1-1-1-12-1-12-1-12-12-1-1-1-12-1-12-1-1000000
χ24222-12-1-1-12-1-1222-12-1-1-1-122-1-1-1-12-22-2-12-1-1-1-12-1-12-1-111-2-21111-12-1-1-1-12-1-12-1-1-21-21111-211-211000000
χ25222-12-1-1-12-1-1222-12-1-1-1-122-1-1-1-1-22-22-12-1-111-211-211-1-122-1-1-1-1-12-1-111-211-211-2-12-1-111-211-211000000
χ26222-12-1-1-12-1-1222-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-111-211-21111-2-21111-12-1-111-211-21121-211-1-12-1-12-1-1000000
χ27222-12-1-1-12-1-12-2-2-12-1-1-1-122-1-1-1-1020-21-211i3−i30i3−i30i3−i3-1-122-1-1-1-11-211i3−i30i3−i30i3−i301-211i3−i30i3−i30i3−i3000000
χ28222-12-1-1-12-1-12-2-2-12-1-1-1-122-1-1-1-1020-21-211−i3i30−i3i30−i3i3-1-122-1-1-1-11-211−i3i30−i3i30−i3i301-211−i3i30−i3i30−i3i3000000
χ29222-12-1-1-12-1-12-2-2-12-1-1-1-122-1-1-1-10-2021-211i3−i30i3−i30i3−i311-2-211111-211i3−i30i3−i30i3−i30-12-1-1−i3i30−i3i30−i3i3000000
χ30222-12-1-1-12-1-12-2-2-12-1-1-1-122-1-1-1-10-2021-211−i3i30−i3i30−i3i311-2-211111-211−i3i30−i3i30−i3i30-12-1-1i3−i30i3−i30i3−i3000000
χ31222-1-12-1-1-12-1222-1-12-1-1-1-1-122-1-12222-1-12-1-1-1-12-1-1-12-1-1-1-122-1-1-1-12-1-1-1-12-1-1-122-1-12-1-1-1-12-1-1-12000000
χ32222-1-12-1-1-12-1222-1-12-1-1-1-1-122-1-12-22-2-1-12-1-1-1-12-1-1-121111-2-211-1-12-1-1-1-12-1-1-12-211-21111-2111-2000000
χ33222-1-12-1-1-12-1222-1-12-1-1-1-1-122-1-1-22-22-1-12-1111-2111-2-1-1-1-122-1-1-1-12-1111-2111-2-2-1-12-1111-2111-2000000
χ34222-1-12-1-1-12-1222-1-12-1-1-1-1-122-1-1-2-2-2-2-1-12-1111-2111-21111-2-211-1-12-1111-2111-2211-21-1-1-12-1-1-12000000
χ35222-1-12-1-1-12-12-2-2-1-12-1-1-1-1-122-1-1020-211-21i3−i3−i30i3i3−i30-1-1-1-122-1-111-21i3−i3−i30i3i3−i30011-21i3−i3−i30i3i3−i30000000
χ36222-1-12-1-1-12-12-2-2-1-12-1-1-1-1-122-1-1020-211-21−i3i3i30−i3−i3i30-1-1-1-122-1-111-21−i3i3i30−i3−i3i30011-21−i3i3i30−i3−i3i30000000
χ37222-1-12-1-1-12-12-2-2-1-12-1-1-1-1-122-1-10-20211-21i3−i3−i30i3i3−i301111-2-21111-21i3−i3−i30i3i3−i300-1-12-1−i3i3i30−i3−i3i30000000
χ38222-1-12-1-1-12-12-2-2-1-12-1-1-1-1-122-1-10-20211-21−i3i3i30−i3−i3i301111-2-21111-21−i3i3i30−i3−i3i300-1-12-1i3−i3−i30i3i3−i30000000
χ39222-1-1-12-1-1-12222-1-1-12-1-1-1-1-1-1222222-1-1-12-1-1-1-12-12-1-1-1-1-1-1-122-1-1-12-1-1-1-12-12-12-1-1-12-1-1-1-12-12-1000000
χ40222-1-1-12-1-1-12222-1-1-12-1-1-1-1-1-1222-22-2-1-1-12-1-1-1-12-12-1111111-2-2-1-1-12-1-1-1-12-12-1-2111-21111-21-21000000
χ41222-1-1-12-1-1-12222-1-1-12-1-1-1-1-1-122-22-22-1-1-121111-21-21-1-1-1-1-1-122-1-1-121111-21-21-2-1-1-121111-21-21000000
χ42222-1-1-12-1-1-12222-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-121111-21-21111111-2-2-1-1-121111-21-212111-2-1-1-1-12-12-1000000
χ43222-1-1-12-1-1-122-2-2-1-1-12-1-1-1-1-1-122020-2111-2i3−i3i3−i30−i30i3-1-1-1-1-1-122111-2i3−i3i3−i30−i30i30111-2i3−i3i3−i30−i30i3000000
χ44222-1-1-12-1-1-122-2-2-1-1-12-1-1-1-1-1-122020-2111-2−i3i3−i3i30i30−i3-1-1-1-1-1-122111-2−i3i3−i3i30i30−i30111-2−i3i3−i3i30i30−i3000000
χ45222-1-1-12-1-1-122-2-2-1-1-12-1-1-1-1-1-1220-202111-2i3−i3i3−i30−i30i3111111-2-2111-2i3−i3i3−i30−i30i30-1-1-12−i3i3−i3i30i30−i3000000
χ46222-1-1-12-1-1-122-2-2-1-1-12-1-1-1-1-1-1220-202111-2−i3i3−i3i30i30−i3111111-2-2111-2−i3i3−i3i30i30−i30-1-1-12i3−i3i3−i30−i30i3000000
χ474444-2-2-24-2-2-2-44-44-2-2-2-4-422222200004-2-2-20000000000000000-4222000000000000000000000000000
χ484444-2-2-24-2-2-2-4-444-2-2-2-4-42222220000-422200000000000000004-2-2-2000000000000000000000000000
χ49444-24-2-2-24-2-2-44-4-24-2-222-4-422220000-24-2-200000000000000002-422000000000000000000000000000
χ50444-24-2-2-24-2-2-4-44-24-2-222-4-4222200002-4220000000000000000-24-2-2000000000000000000000000000
χ51444-2-24-2-2-24-2-44-4-2-24-22222-4-4220000-2-24-2000000000000000022-42000000000000000000000000000
χ52444-2-24-2-2-24-2-4-44-2-24-22222-4-422000022-420000000000000000-2-24-2000000000000000000000000000
χ53444-2-2-24-2-2-24-44-4-2-2-24222222-4-40000-2-2-240000000000000000222-4000000000000000000000000000
χ54444-2-2-24-2-2-24-4-44-2-2-24222222-4-40000222-40000000000000000-2-2-24000000000000000000000000000
χ5544-444444444000-4-4-4-40000000020-20000022222222000000000000-2-2-2-2-2-2-2-20000000000000000000
χ5644-444444444000-4-4-4-400000000-20200000-2-2-2-2-2-2-2-2000000000000222222220000000000000000000
χ5744-44-2-2-24-2-2-2000-4222002i3−2i32i3−2i32i3−2i320-20000022−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000000-2-21−i31−i31−i31+i31+i31+i30000000000000000000
χ5844-44-2-2-24-2-2-2000-4222002i3−2i32i3−2i32i3−2i3-20200000-2-21−i31−i31−i31+i31+i31+i300000000000022−1+i3−1+i3−1+i3−1−i3−1−i3−1−i30000000000000000000
χ5944-44-2-2-24-2-2-2000-422200−2i32i3−2i32i3−2i32i320-20000022−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000000-2-21+i31+i31+i31−i31−i31−i30000000000000000000
χ6044-44-2-2-24-2-2-2000-422200−2i32i3−2i32i3−2i32i3-20200000-2-21+i31+i31+i31−i31−i31−i300000000000022−1−i3−1−i3−1−i3−1+i3−1+i3−1+i30000000000000000000
χ6144-4-24-2-2-24-2-20002-4222i3−2i3002i3−2i3−2i32i320-200000−1+i3−1−i32−1+i3−1−i32−1+i3−1−i30000000000001−i31+i3-21−i31+i3-21−i31+i30000000000000000000
χ6244-4-24-2-2-24-2-20002-4222i3−2i3002i3−2i3−2i32i3-202000001−i31+i3-21−i31+i3-21−i31+i3000000000000−1+i3−1−i32−1+i3−1−i32−1+i3−1−i30000000000000000000
χ6344-4-24-2-2-24-2-20002-422−2i32i300−2i32i32i3−2i320-200000−1−i3−1+i32−1−i3−1+i32−1−i3−1+i30000000000001+i31−i3-21+i31−i3-21+i31−i30000000000000000000
χ6444-4-24-2-2-24-2-20002-422−2i32i300−2i32i32i3−2i3-202000001+i31−i3-21+i31−i3-21+i31−i3000000000000−1−i3−1+i32−1−i3−1+i32−1−i3−1+i30000000000000000000
χ6544-4-2-24-2-2-24-200022-422i3−2i3−2i32i3002i3−2i320-200000−1+i3−1−i3−1−i32−1+i3−1+i3−1−i320000000000001−i31+i31+i3-21−i31−i31+i3-20000000000000000000
χ6644-4-2-24-2-2-24-200022-422i3−2i3−2i32i3002i3−2i3-202000001−i31+i31+i3-21−i31−i31+i3-2000000000000−1+i3−1−i3−1−i32−1+i3−1+i3−1−i320000000000000000000
χ6744-4-2-24-2-2-24-200022-42−2i32i32i3−2i300−2i32i320-200000−1−i3−1+i3−1+i32−1−i3−1−i3−1+i320000000000001+i31−i31−i3-21+i31+i31−i3-20000000000000000000
χ6844-4-2-24-2-2-24-200022-42−2i32i32i3−2i300−2i32i3-202000001+i31−i31−i3-21+i31+i31−i3-2000000000000−1−i3−1+i3−1+i32−1−i3−1−i3−1+i320000000000000000000
χ6944-4-2-2-24-2-2-24000222-42i3−2i32i3−2i3−2i32i30020-200000−1+i3−1−i3−1+i3−1−i32−1−i32−1+i30000000000001−i31+i31−i31+i3-21+i3-21−i30000000000000000000
χ7044-4-2-2-24-2-2-24000222-42i3−2i32i3−2i3−2i32i300-202000001−i31+i31−i31+i3-21+i3-21−i3000000000000−1+i3−1−i3−1+i3−1−i32−1−i32−1+i30000000000000000000
χ7144-4-2-2-24-2-2-24000222-4−2i32i3−2i32i32i3−2i30020-200000−1−i3−1+i3−1−i3−1+i32−1+i32−1−i30000000000001+i31−i31+i31−i3-21−i3-21+i30000000000000000000
χ7244-4-2-2-24-2-2-24000222-4−2i32i3−2i32i32i3−2i300-202000001+i31−i31+i31−i3-21−i3-21+i3000000000000−1−i3−1+i3−1−i3−1+i32−1+i32−1−i30000000000000000000
χ738-808888-8-8-8-80000000000000000000000000000000000000000000000000000000000000000000000
χ748-808-4-4-4-84440000000000000000000000000000000002i3−2i32i3−2i32i3−2i30000000000000000000000000000000
χ758-808-4-4-4-8444000000000000000000000000000000000−2i32i3−2i32i3−2i32i30000000000000000000000000000000
χ768-80-48-4-44-84400000000000000000000000000000002i3−2i3002i3−2i3−2i32i30000000000000000000000000000000
χ778-80-48-4-44-8440000000000000000000000000000000−2i32i300−2i32i32i3−2i30000000000000000000000000000000
χ788-80-4-48-444-8400000000000000000000000000000002i3−2i3−2i32i3002i3−2i30000000000000000000000000000000
χ798-80-4-48-444-840000000000000000000000000000000−2i32i32i3−2i300−2i32i30000000000000000000000000000000
χ808-80-4-4-48444-800000000000000000000000000000002i3−2i32i3−2i3−2i32i3000000000000000000000000000000000
χ818-80-4-4-48444-80000000000000000000000000000000−2i32i3−2i32i32i3−2i3000000000000000000000000000000000

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