Finite Group Databasebeta

← Group #11798608

Character table — Group #11798608

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11222224444444444488888888888888888888888888888121212122424242424243636484848484848484872144
order1223366223466666662466666666666666612121212121212121212121244444412121212444412121212121228
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-11-111-1-1-1-11-1111-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-111-11-1-111-1-1-11-1-1-1111-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ5111111111111111111-1-111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-11-1-11-1-11-1
χ6111111111111111111-1-111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11-111-1-1-1-1-111-1-1-111-11
χ7111111111111111111-1-111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-11-1-111-1-11-1-1111-1-1-11
χ8111111111111111111-1-111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1111-1
χ922222222-22-22222-2-22002-20000222-2-20000-2-20000-2-2000000220-200220000000-20000
χ1022222222-22-22222-2-22002-20000222-2-20000-2-20000-2-2000000-2-20200-2-2000000020000
χ112222222-222-222-2-222200-2200002-2-2220000-2-20000-2-200002200-2022000000-20000000
χ122222222-222-222-2-222200-2200002-2-2220000-2-20000-2-20000-2-20020-2-200000020000000
χ132222222-2-22222-2-2-2-2200-2-200002-2-2-2-2000022000022000000000000002200000000-20
χ142222222-2-22222-2-2-2-2200-2-200002-2-2-2-200002200002200000000000000-2-20000000020
χ152222-12-122-122-122-1-1-122-1222-1-1-1-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1220020-1-1000020-1-1-100000
χ162222-12-122-122-122-1-1-122-1222-1-1-1-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-2-200-20110000-2011100000
χ172222-12-122-122-122-1-1-1-2-2-12-2-211-1-1-1-1-111112-1-2-211-1-11111220020-1-10000-20-11100000
χ182222-12-122-122-122-1-1-1-2-2-12-2-211-1-1-1-1-111112-1-2-211-1-11111-2-200-20110000201-1-100000
χ192222-12-1-22-1-22-1-2-2-1-1-1001200−i3i3-111-1-1−i3−i3i3i3-2100−i3i311−i3−i3i3i32200-20-1-10000001−i3i300000
χ202222-12-1-22-1-22-1-2-2-1-1-1001200−i3i3-111-1-1−i3−i3i3i3-2100−i3i311−i3−i3i3i3-2-2002011000000-1i3−i300000
χ212222-12-1-22-1-22-1-2-2-1-1-1001200i3−i3-111-1-1i3i3−i3−i3-2100i3−i311i3i3−i3−i32200-20-1-10000001i3−i300000
χ222222-12-1-22-1-22-1-2-2-1-1-1001200i3−i3-111-1-1i3i3−i3−i3-2100i3−i311i3i3−i3−i3-2-2002011000000-1−i3i300000
χ23222-12-1222-12-12-1-122-1222-1-1-122-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-100220200-1-10002000-1-1-100
χ24222-12-1222-12-12-1-122-1222-1-1-122-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-100-2-20-20011000-200011100
χ25222-12-1222-12-12-1-122-1-2-22-111-2-2-1-1-1-1-11111-1211-2-2-1-1111100220200-1-1000-2000-11100
χ26222-12-1222-12-12-1-122-1-2-22-111-2-2-1-1-1-1-11111-1211-2-2-1-1111100-2-20-2001100020001-1-100
χ27222-12-122-2-1-2-12-1-1-2-2-10021−i3i300-1-1-111−i3i3−i3i31-2−i3i30011−i3i3−i3i300220-200-1-100000001−i3i300
χ28222-12-122-2-1-2-12-1-1-2-2-10021−i3i300-1-1-111−i3i3−i3i31-2−i3i30011−i3i3−i3i300-2-20200110000000-1i3−i300
χ29222-12-122-2-1-2-12-1-1-2-2-10021i3−i300-1-1-111i3−i3i3−i31-2i3−i30011i3−i3i3−i300220-200-1-100000001i3−i300
χ30222-12-122-2-1-2-12-1-1-2-2-10021i3−i300-1-1-111i3−i3i3−i31-2i3−i30011i3−i3i3−i300-2-20200110000000-1−i3i300
χ314444-24-24-4-2-44-24422-200-2-40000-2-2-2220000-4200002200000000000000000000000000
χ324444-24-2-4-4-244-2-4-422-2002-40000-2222200004-20000-2-200000000000000000000000000
χ33444-24-24-44-2-4-242244-200-4-20000-222-2-200002-400002200000000000000000000000000
χ34444-24-24-4-4-24-2422-4-4-200-420000-222220000-240000-2-200000000000000000000000000
χ35444-2-2-2-24414-2-2-2-2-2-2144-2-2-2-2-2-2111111111-2-2-2-2-2-21111110000000000000000000000
χ36444-2-2-2-24414-2-2-2-2-2-21-4-4-2-2222211111-1-1-1-1-2-2222211-1-1-1-10000000000000000000000
χ37444-2-2-2-24-41-4-2-2-2-222100-22−2i32i300111-1-1i3−i3i3−i322−2i32i300-1-1i3−i3i3−i30000000000000000000000
χ38444-2-2-2-24-41-4-2-2-2-222100-222i3−2i300111-1-1−i3i3−i3i3222i3−2i300-1-1−i3i3−i3i30000000000000000000000
χ39444-2-2-2-2-441-4-2-222-2-21002-200−2i32i31-1-111i3i3−i3−i32200−2i32i3-1-1i3i3−i3−i30000000000000000000000
χ40444-2-2-2-2-441-4-2-222-2-21002-2002i3−2i31-1-111−i3−i3i3i322002i3−2i3-1-1−i3−i3i3i30000000000000000000000
χ41444-2-2-2-2-4-414-2-222221002200001-1-1-1-13-3-33-2-20000113-3-330000000000000000000000
χ42444-2-2-2-2-4-414-2-222221002200001-1-1-1-1-333-3-2-2000011-333-30000000000000000000000
χ4344-444440040-4-4000042-2002222-40000222200-2-2-2-200-2-2-2-20000000000000000000000
χ4444-444440040-4-400004-2200-2-2-2-2-40000-2-2-2-20022220022220000000000000000000000
χ4544-44-24-200-20-4200−2i32i3-22-20022−1−i3−1+i3200−2i32i3−1−i3−1−i3−1+i3−1+i300-2-21+i31−i3001+i31+i31−i31−i30000000000000000000000
χ4644-44-24-200-20-4200−2i32i3-2-2200-2-21+i31−i3200−2i32i31+i31+i31−i31−i30022−1−i3−1+i300−1−i3−1−i3−1+i3−1+i30000000000000000000000
χ4744-44-24-200-20-42002i3−2i3-22-20022−1+i3−1−i32002i3−2i3−1+i3−1+i3−1−i3−1−i300-2-21−i31+i3001−i31−i31+i31+i30000000000000000000000
χ4844-44-24-200-20-42002i3−2i3-2-2200-2-21−i31+i32002i3−2i31−i31−i31+i31+i30022−1+i3−1−i300−1+i3−1+i3−1−i3−1−i30000000000000000000000
χ4944-4-24-2400-202-4−2i32i300-22-200−1−i3−1+i3222−2i32i300−1−i3−1+i3−1−i3−1+i3001+i31−i3-2-2001+i31−i31+i31−i30000000000000000000000
χ5044-4-24-2400-202-4−2i32i300-2-22001+i31−i3-2-22−2i32i3001+i31−i31+i31−i300−1−i3−1+i32200−1−i3−1+i3−1−i3−1+i30000000000000000000000
χ5144-4-24-2400-202-42i3−2i300-22-200−1+i3−1−i32222i3−2i300−1+i3−1−i3−1+i3−1−i3001−i31+i3-2-2001−i31+i31−i31+i30000000000000000000000
χ5244-4-24-2400-202-42i3−2i300-2-22001−i31+i3-2-222i3−2i3001−i31+i31−i31+i300−1+i3−1−i32200−1+i3−1−i3−1+i3−1−i30000000000000000000000
χ5344-4-2-2-2-2001022−2i32i3−2i32i312-200−1−i3−1+i3−1−i3−1+i3-1i3−i3i3−i32+i3-1-12−i3001+i31−i31+i31−i33-3−2−i311−2+i30000000000000000000000
χ5444-4-2-2-2-2001022−2i32i3−2i32i31-22001+i31−i31+i31−i3-1i3−i3i3−i3−2−i311−2+i300−1−i3−1+i3−1−i3−1+i33-32+i3-1-12−i30000000000000000000000
χ5544-4-2-2-2-2001022−2i32i32i3−2i312-200−1−i3−1+i3−1+i3−1−i3-1i3−i3−i3i3-12−i32+i3-1001+i31−i31−i31+i3-331−2+i3−2−i310000000000000000000000
χ5644-4-2-2-2-2001022−2i32i32i3−2i31-22001+i31−i31−i31+i3-1i3−i3−i3i31−2+i3−2−i3100−1−i3−1+i3−1+i3−1−i3-33-12−i32+i3-10000000000000000000000
χ5744-4-2-2-2-20010222i3−2i3−2i32i312-200−1+i3−1−i3−1−i3−1+i3-1−i3i3i3−i3-12+i32−i3-1001−i31+i31+i31−i3-331−2−i3−2+i310000000000000000000000
χ5844-4-2-2-2-20010222i3−2i3−2i32i31-22001−i31+i31+i31−i3-1−i3i3i3−i31−2−i3−2+i3100−1+i3−1−i3−1−i3−1+i3-33-12+i32−i3-10000000000000000000000
χ5944-4-2-2-2-20010222i3−2i32i3−2i312-200−1+i3−1−i3−1+i3−1−i3-1−i3i3−i3i32−i3-1-12+i3001−i31+i31−i31+i33-3−2+i311−2−i30000000000000000000000
χ6044-4-2-2-2-20010222i3−2i32i3−2i31-22001−i31+i31−i31+i3-1−i3i3−i3i3−2+i311−2−i300−1+i3−1−i3−1+i3−1−i33-32−i3-1-12+i30000000000000000000000
χ614-4044-4-40040000000-4000000000000000000000000000002i−2i2i−2i002i−2i2i−2i2-20000000000
χ624-4044-4-40040000000-4000000000000000000000000000002i−2i−2i2i002i−2i−2i2i-220000000000
χ634-4044-4-40040000000-400000000000000000000000000000−2i2i2i−2i00−2i2i2i−2i-220000000000
χ644-4044-4-40040000000-400000000000000000000000000000−2i2i−2i2i00−2i2i−2i2i2-20000000000
χ658-808-4-8400-400000004000000000000000000000000000004i−4i0000−2i2i00000000000000
χ668-808-4-8400-40000000400000000000000000000000000000−4i4i00002i−2i00000000000000
χ678-80-484-800-40000000400000000000000000000000000000004i−4i0000−2i2i000000000000
χ688-80-484-800-4000000040000000000000000000000000000000−4i4i00002i−2i000000000000
χ6916-160-8-8880040000000-4000000000000000000000000000000000000000000000000000

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