Finite Group Databasebeta

← Group #11798551

Character table — Group #11798551

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11222222222444444444444444448888888888888888888888888888888888816161616161616161616161616363636367272144144
order122333366662244466661212121212121212244666666666666666612121212121212121212121212121212812121212242424242424242422444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111-1-111111111111111-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1
χ61111111111111-1-111111111111111-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11
χ71111111111111-1-11111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111111-1-11-1-11
χ81111111111111-1-11111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-111-111-1
χ9222222222222-200-22222-2-2-2-2-2-2-2-20002222-2-2-2-2000000000000000000000000000000000000000220-200
χ10222222222222-200-22222-2-2-2-2-2-2-2-20002222-2-2-2-2000000000000000000000000000000000000000-2-20200
χ1122222222222-2200-22222-2-2-2-2-2-2-2-2000-2-2-2-2222200000000000000000000000000000000000002200-2000
χ1222222222222-2200-22222-2-2-2-2-2-2-2-2000-2-2-2-222220000000000000000000000000000000000000-2-2002000
χ1322222222222-2-22222222222222220-20-2-2-2-2-2-2-2-20000000000000000222222220-2-2-2-20000000000000000
χ1422222222222-2-2-2-22222222222222020-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2022220000000000000000
χ152222-1-1-12-1-1-1222222-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-100000000
χ162222-1-1-12-1-1-1222222-1-1-122-1-1-1-1-1-1-22-22-1-1-12-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1-22-1-1-1-2-211111100000000
χ172222-1-1-12-1-1-122-2-222-1-1-122-1-1-1-1-1-12-222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111-2-211111100000000
χ182222-1-1-12-1-1-122-2-222-1-1-122-1-1-1-1-1-1-2-2-22-1-1-12-1-1-1-2-2111111-2-2111111-2-21111112-211122-1-1-1-1-1-100000000
χ192222-1-1-12-1-1-1-2-22222-1-1-122-1-1-1-1-1-10-20-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i322-1-1-1-1-1-10-211100−i3−i3−i3i3i3i300000000
χ202222-1-1-12-1-1-1-2-22222-1-1-122-1-1-1-1-1-10-20-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i322-1-1-1-1-1-10-211100i3i3i3−i3−i3−i300000000
χ212222-1-1-12-1-1-1-2-2-2-222-1-1-122-1-1-1-1-1-1020-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3-2-211111102-1-1-100i3i3i3−i3−i3−i300000000
χ222222-1-1-12-1-1-1-2-2-2-222-1-1-122-1-1-1-1-1-1020-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3-2-211111102-1-1-100−i3−i3−i3i3i3i300000000
χ23222-12-1-1-12-1-122222-12-1-1-1-122-1-1-1-1222-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1-1-122-1-1-1-12-12-1-1-1-12-1-12-1-100000000
χ24222-12-1-1-12-1-122222-12-1-1-1-122-1-1-1-1-22-2-12-1-1-12-1-111-211-21111-211-211-1-122-1-1-1-1-2-12-1-111-211-21100000000
χ25222-12-1-1-12-1-122-2-22-12-1-1-1-122-1-1-1-12-22-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-111-2-21111-21-21111-211-21100000000
χ26222-12-1-1-12-1-122-2-22-12-1-1-1-122-1-1-1-1-2-2-2-12-1-1-12-1-111-211-21111-211-21111-2-2111121-211-1-12-1-12-1-100000000
χ27222-12-1-1-12-1-1-2-2222-12-1-1-1-122-1-1-1-10-201-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3-1-122-1-1-1-101-211−i3i30−i3i30−i3i300000000
χ28222-12-1-1-12-1-1-2-2222-12-1-1-1-122-1-1-1-10-201-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3-1-122-1-1-1-101-211i3−i30i3−i30i3−i300000000
χ29222-12-1-1-12-1-1-2-2-2-22-12-1-1-1-122-1-1-1-10201-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i311-2-211110-12-1-1i3−i30i3−i30i3−i300000000
χ30222-12-1-1-12-1-1-2-2-2-22-12-1-1-1-122-1-1-1-10201-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i311-2-211110-12-1-1−i3i30−i3i30−i3i300000000
χ31222-1-12-1-1-12-122222-1-12-1-1-1-1-122-1-1222-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-12-1-12-1-1-1-12-1-1-1200000000
χ32222-1-12-1-1-12-122222-1-12-1-1-1-1-122-1-1-22-2-1-12-1-1-12-1111-2111-2111-2111-2-1-1-1-122-1-1-2-1-12-1111-2111-200000000
χ33222-1-12-1-1-12-122-2-22-1-12-1-1-1-1-122-1-12-22-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-121111-2-211-211-21111-2111-200000000
χ34222-1-12-1-1-12-122-2-22-1-12-1-1-1-1-122-1-1-2-2-2-1-12-1-1-12-1111-2111-2111-2111-21111-2-211211-21-1-1-12-1-1-1200000000
χ35222-1-12-1-1-12-1-2-2222-1-12-1-1-1-1-122-1-10-2011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30-1-1-1-122-1-1011-21−i3i3i30−i3−i3i3000000000
χ36222-1-12-1-1-12-1-2-2222-1-12-1-1-1-1-122-1-10-2011-2111-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30-1-1-1-122-1-1011-21i3−i3−i30i3i3−i3000000000
χ37222-1-12-1-1-12-1-2-2-2-22-1-12-1-1-1-1-122-1-102011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i301111-2-2110-1-12-1i3−i3−i30i3i3−i3000000000
χ38222-1-12-1-1-12-1-2-2-2-22-1-12-1-1-1-1-122-1-102011-2111-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i301111-2-2110-1-12-1−i3i3i30−i3−i3i3000000000
χ39222-1-1-12-1-1-1222222-1-1-12-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-1-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1222-1-1-12-1-1-1-12-12-100000000
χ40222-1-1-12-1-1-1222222-1-1-12-1-1-1-1-1-122-22-2-1-1-12-1-1-121111-21-211111-21-21-1-1-1-1-1-122-2-1-1-121111-21-2100000000
χ41222-1-1-12-1-1-1222-2-22-1-1-12-1-1-1-1-1-1222-22-1-1-12-1-1-12-1-1-1-12-12-1-1-1-1-12-12-1111111-2-2-2111-21111-21-2100000000
χ42222-1-1-12-1-1-1222-2-22-1-1-12-1-1-1-1-1-122-2-2-2-1-1-12-1-1-121111-21-211111-21-21111111-2-22111-2-1-1-1-12-12-100000000
χ43222-1-1-12-1-1-12-2-2222-1-1-12-1-1-1-1-1-1220-20111-2111-2−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3-1-1-1-1-1-1220111-2−i3i3−i3i30i30−i300000000
χ44222-1-1-12-1-1-12-2-2222-1-1-12-1-1-1-1-1-1220-20111-2111-2i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3-1-1-1-1-1-1220111-2i3−i3i3−i30−i30i300000000
χ45222-1-1-12-1-1-12-2-2-2-22-1-1-12-1-1-1-1-1-122020111-2111-2−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3111111-2-20-1-1-12i3−i3i3−i30−i30i300000000
χ46222-1-1-12-1-1-12-2-2-2-22-1-1-12-1-1-1-1-1-122020111-2111-2i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3111111-2-20-1-1-12−i3i3−i3i30i30−i300000000
χ474444-2-2-24-2-2-24-400-44-2-2-2-4-42222220004-2-2-2-4222000000000000000000000000000000000000000000000
χ484444-2-2-24-2-2-2-4400-44-2-2-2-4-4222222000-42224-2-2-2000000000000000000000000000000000000000000000
χ49444-24-2-2-24-2-24-400-4-24-2-222-4-42222000-24-2-22-422000000000000000000000000000000000000000000000
χ50444-24-2-2-24-2-2-4400-4-24-2-222-4-422220002-422-24-2-2000000000000000000000000000000000000000000000
χ51444-2-24-2-2-24-24-400-4-2-24-22222-4-422000-2-24-222-42000000000000000000000000000000000000000000000
χ52444-2-24-2-2-24-2-4400-4-2-24-22222-4-42200022-42-2-24-2000000000000000000000000000000000000000000000
χ53444-2-2-24-2-2-244-400-4-2-2-24222222-4-4000-2-2-24222-4000000000000000000000000000000000000000000000
χ54444-2-2-24-2-2-24-4400-4-2-2-24222222-4-4000222-4-2-2-24000000000000000000000000000000000000000000000
χ5544-44444444400000-4-4-4-40000000020-20000000022222222-2-2-2-2-2-2-2-200000000000000000000000000000
χ5644-44444444400000-4-4-4-400000000-20200000000-2-2-2-2-2-2-2-22222222200000000000000000000000000000
χ5744-44-2-2-24-2-2-200000-422200−2i32i3−2i32i3−2i32i320-20000000022−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i300000000000000000000000000000
χ5844-44-2-2-24-2-2-200000-422200−2i32i3−2i32i3−2i32i3-20200000000-2-21+i31+i31+i31−i31−i31−i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300000000000000000000000000000
χ5944-44-2-2-24-2-2-200000-4222002i3−2i32i3−2i32i3−2i320-20000000022−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i300000000000000000000000000000
χ6044-44-2-2-24-2-2-200000-4222002i3−2i32i3−2i32i3−2i3-20200000000-2-21−i31−i31−i31+i31+i31+i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300000000000000000000000000000
χ6144-4-24-2-2-24-2-2000002-422−2i32i300−2i32i32i3−2i320-200000000−1−i3−1+i32−1−i3−1+i32−1−i3−1+i31+i31−i3-21+i31−i3-21+i31−i300000000000000000000000000000
χ6244-4-24-2-2-24-2-2000002-422−2i32i300−2i32i32i3−2i3-202000000001+i31−i3-21+i31−i3-21+i31−i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i300000000000000000000000000000
χ6344-4-24-2-2-24-2-2000002-4222i3−2i3002i3−2i3−2i32i320-200000000−1+i3−1−i32−1+i3−1−i32−1+i3−1−i31−i31+i3-21−i31+i3-21−i31+i300000000000000000000000000000
χ6444-4-24-2-2-24-2-2000002-4222i3−2i3002i3−2i3−2i32i3-202000000001−i31+i3-21−i31+i3-21−i31+i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i300000000000000000000000000000
χ6544-4-2-24-2-2-24-20000022-42−2i32i32i3−2i300−2i32i320-200000000−1−i3−1+i3−1+i32−1−i3−1−i3−1+i321+i31−i31−i3-21+i31+i31−i3-200000000000000000000000000000
χ6644-4-2-24-2-2-24-20000022-42−2i32i32i3−2i300−2i32i3-202000000001+i31−i31−i3-21+i31+i31−i3-2−1−i3−1+i3−1+i32−1−i3−1−i3−1+i3200000000000000000000000000000
χ6744-4-2-24-2-2-24-20000022-422i3−2i3−2i32i3002i3−2i320-200000000−1+i3−1−i3−1−i32−1+i3−1+i3−1−i321−i31+i31+i3-21−i31−i31+i3-200000000000000000000000000000
χ6844-4-2-24-2-2-24-20000022-422i3−2i3−2i32i3002i3−2i3-202000000001−i31+i31+i3-21−i31−i31+i3-2−1+i3−1−i3−1−i32−1+i3−1+i3−1−i3200000000000000000000000000000
χ6944-4-2-2-24-2-2-2400000222-4−2i32i3−2i32i32i3−2i30020-200000000−1−i3−1+i3−1−i3−1+i32−1+i32−1−i31+i31−i31+i31−i3-21−i3-21+i300000000000000000000000000000
χ7044-4-2-2-24-2-2-2400000222-4−2i32i3−2i32i32i3−2i300-202000000001+i31−i31+i31−i3-21−i3-21+i3−1−i3−1+i3−1−i3−1+i32−1+i32−1−i300000000000000000000000000000
χ7144-4-2-2-24-2-2-2400000222-42i3−2i32i3−2i3−2i32i30020-200000000−1+i3−1−i3−1+i3−1−i32−1−i32−1+i31−i31+i31−i31+i3-21+i3-21−i300000000000000000000000000000
χ7244-4-2-2-24-2-2-2400000222-42i3−2i32i3−2i3−2i32i300-202000000001−i31+i31−i31+i3-21+i3-21−i3−1+i3−1−i3−1+i3−1−i32−1−i32−1+i300000000000000000000000000000
χ734-404444-4-4-4-4002i−2i00000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000002-22i−2i0000
χ744-404444-4-4-4-4002i−2i00000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000-22−2i2i0000
χ754-404444-4-4-4-400−2i2i0000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000002-2−2i2i0000
χ764-404444-4-4-4-400−2i2i0000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000-222i−2i0000
χ778-808-4-4-4-8444004i−4i00000000000000000000000000000000000000004i−4i−2i2i−2i2i−2i2i000000000000000000000
χ788-808-4-4-4-844400−4i4i0000000000000000000000000000000000000000−4i4i2i−2i2i−2i2i−2i000000000000000000000
χ798-80-48-4-44-844004i−4i0000000000000000000000000000000000000000−2i2i4i−4i−2i2i−2i2i000000000000000000000
χ808-80-48-4-44-84400−4i4i00000000000000000000000000000000000000002i−2i−4i4i2i−2i2i−2i000000000000000000000
χ818-80-4-48-444-84004i−4i0000000000000000000000000000000000000000−2i2i−2i2i4i−4i−2i2i000000000000000000000
χ828-80-4-48-444-8400−4i4i00000000000000000000000000000000000000002i−2i2i−2i−4i4i2i−2i000000000000000000000
χ838-80-4-4-48444-8004i−4i0000000000000000000000000000000000000000−2i2i−2i2i−2i2i4i−4i000000000000000000000
χ848-80-4-4-48444-800−4i4i00000000000000000000000000000000000000002i−2i2i−2i2i−2i−4i4i000000000000000000000

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