Finite Group Databasebeta

← Group #11798719

Character table — Group #11798719

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11222224444444444488888888888888888888888888888242424242424242448484848484848487272144
order12233662234666661212246666666666666666121212121212121212121244441212121248121212122424444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-11-111-1-11-1-1111-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-11-11-1-111-111-1-1-111-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111-1-1111-1-1-1-111111-1-1-1-11-1-1-1-111-1-1-1-111111111-1-111-1-1-1-111-1
χ6111111111111111111-1-1111-1-1-1-111111-1-1-1-11-1-1-1-111-1-1-1-11-11-111-1-1-11-11-1-111-1-11
χ7111111111111111111-1-1111-1-1-1-111111-1-1-1-11-1-1-1-111-1-1-1-1-11-11-1-1111-11-111-1-1-1-11
χ8111111111111111111-1-1111-1-1-1-111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1
χ922222222-22-222222-2-2002-2-20000222-2-20000-20000-2-2000020-202200000-20000000
χ1022222222-22-222222-2-2002-2-20000222-2-20000-20000-2-20000-2020-2-20000020000000
χ112222222-222-222-2-22-2-200-22200002-2-2220000-20000-2-2000000000000000000002-20
χ122222222-222-222-2-22-2-200-22200002-2-2220000-20000-2-200000000000000000000-220
χ132222222-2-22222-2-222200-2-2-200002-2-2-2-2000020000220000020-200-2-200200000000
χ142222222-2-22222-2-222200-2-2-200002-2-2-2-20000200002200000-202002200-200000000
χ152222-12-122-122-122-1-1-122-12-122-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1020200-1-102-1000-1-1000
χ162222-12-122-122-122-1-1-122-12-122-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-10-20-200110-2100011000
χ172222-12-122-122-122-1-1-1-2-2-12-1-2-211-1-1-1-1-111112-2-211-1-11111020200-1-10-2-100011000
χ182222-12-122-122-122-1-1-1-2-2-12-1-2-211-1-1-1-1-111112-2-211-1-111110-20-20011021000-1-1000
χ192222-12-1-2-2-122-1-2-2-1-1-1001-2100−i3i3-11111−i3−i3i3i3200−i3i3-1-1−i3−i3i3i3020-2001100-1000−i3i3000
χ202222-12-1-2-2-122-1-2-2-1-1-1001-2100−i3i3-11111−i3−i3i3i3200−i3i3-1-1−i3−i3i3i30-20200-1-1001000i3−i3000
χ212222-12-1-2-2-122-1-2-2-1-1-1001-2100i3−i3-11111i3i3−i3−i3200i3−i3-1-1i3i3−i3−i3020-2001100-1000i3−i3000
χ222222-12-1-2-2-122-1-2-2-1-1-1001-2100i3−i3-11111i3i3−i3−i3200i3−i3-1-1i3i3−i3−i30-20200-1-1001000−i3i3000
χ23222-12-1222-12-12-1-1-122222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12020-1-100200-1-1-100000
χ24222-12-1222-12-12-1-1-122222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-20-201100-20011100000
χ25222-12-1222-12-12-1-1-122-2-22-1211-2-2-1-1-1-1-11111-111-2-2-1-111112020-1-100-200-11100000
χ26222-12-1222-12-12-1-1-122-2-22-1211-2-2-1-1-1-1-11111-111-2-2-1-11111-20-2011002001-1-100000
χ27222-12-122-2-1-2-12-1-1-1-2-20021-2−i3i300-1-1-111−i3i3−i3i31−i3i30011−i3i3−i3i320-20-1-1000001−i3i300000
χ28222-12-122-2-1-2-12-1-1-1-2-20021-2−i3i300-1-1-111−i3i3−i3i31−i3i30011−i3i3−i3i3-20201100000-1i3−i300000
χ29222-12-122-2-1-2-12-1-1-1-2-20021-2i3−i300-1-1-111i3−i3i3−i31i3−i30011i3−i3i3−i320-20-1-1000001i3−i300000
χ30222-12-122-2-1-2-12-1-1-1-2-20021-2i3−i300-1-1-111i3−i3i3−i31i3−i30011i3−i3i3−i3-20201100000-1−i3i300000
χ314444-24-24-4-2-44-244-22200-2-420000-2-2-2220000-400002200000000000000000000000
χ324444-24-2-44-2-44-2-4-4-2220024-20000-222-2-20000-400002200000000000000000000000
χ33444-24-24-44-2-4-2422-2-4-400-4-240000-222-2-20000200002200000000000000000000000
χ34444-24-24-4-4-24-2422-24400-42-40000-222220000-20000-2-200000000000000000000000
χ35444-2-2-2-24414-2-2-2-21-2-244-2-2-2-2-2-2-2111111111-2-2-2-2-21111110000000000000000000
χ36444-2-2-2-24414-2-2-2-21-2-2-4-4-2-2-2222211111-1-1-1-1-2222211-1-1-1-10000000000000000000
χ37444-2-2-2-24-41-4-2-2-2-212200-222−2i32i300111-1-1i3−i3i3−i32−2i32i300-1-1i3−i3i3−i30000000000000000000
χ38444-2-2-2-24-41-4-2-2-2-212200-2222i3−2i300111-1-1−i3i3−i3i322i3−2i300-1-1−i3i3−i3i30000000000000000000
χ39444-2-2-2-2-441-4-2-222122002-2-200001-1-1113-3-3320000-1-13-3-330000000000000000000
χ40444-2-2-2-2-441-4-2-222122002-2-200001-1-111-333-320000-1-1-333-30000000000000000000
χ41444-2-2-2-2-4-414-2-2221-2-20022200−2i32i31-1-1-1-1i3i3−i3−i3-200−2i32i311i3i3−i3−i30000000000000000000
χ42444-2-2-2-2-4-414-2-2221-2-200222002i3−2i31-1-1-1-1−i3−i3i3i3-2002i3−2i311−i3−i3i3i30000000000000000000
χ4344-444440040-4-4004002-20002222-4000022220-2-2-2-200-2-2-2-20000000000000000000
χ4444-444440040-4-400400-22000-2-2-2-2-40000-2-2-2-2022220022220000000000000000000
χ4544-44-24-200-20-4200-2−2i32i32-200022−1−i3−1+i320000−1−i3−1−i3−1+i3−1+i30-2-21+i31−i3−2i32i31+i31+i31−i31−i30000000000000000000
χ4644-44-24-200-20-4200-2−2i32i3-22000-2-21+i31−i3200001+i31+i31−i31−i3022−1−i3−1+i3−2i32i3−1−i3−1−i3−1+i3−1+i30000000000000000000
χ4744-44-24-200-20-4200-22i3−2i32-200022−1+i3−1−i320000−1+i3−1+i3−1−i3−1−i30-2-21−i31+i32i3−2i31−i31−i31+i31+i30000000000000000000
χ4844-44-24-200-20-4200-22i3−2i3-22000-2-21−i31+i3200001−i31−i31+i31+i3022−1+i3−1−i32i3−2i3−1+i3−1+i3−1−i3−1−i30000000000000000000
χ4944-4-24-2400-202-4−2i32i3-2002-2000−1−i3−1+i3222−2i32i300−1−i3−1+i3−1−i3−1+i301+i31−i3-2-2001+i31−i31+i31−i30000000000000000000
χ5044-4-24-2400-202-4−2i32i3-200-220001+i31−i3-2-22−2i32i3001+i31−i31+i31−i30−1−i3−1+i32200−1−i3−1+i3−1−i3−1+i30000000000000000000
χ5144-4-24-2400-202-42i3−2i3-2002-2000−1+i3−1−i32222i3−2i300−1+i3−1−i3−1+i3−1−i301−i31+i3-2-2001−i31+i31−i31+i30000000000000000000
χ5244-4-24-2400-202-42i3−2i3-200-220001−i31+i3-2-222i3−2i3001−i31+i31−i31+i30−1+i3−1−i32200−1+i3−1−i3−1+i3−1−i30000000000000000000
χ5344-4-2-2-2-2001022−2i32i31−2i32i32-2000−1−i3−1+i3−1−i3−1+i3-1i3−i33-32+i3-1-12−i301+i31−i31+i31−i3i3−i3−2−i311−2+i30000000000000000000
χ5444-4-2-2-2-2001022−2i32i31−2i32i3-220001+i31−i31+i31−i3-1i3−i33-3−2−i311−2+i30−1−i3−1+i3−1−i3−1+i3i3−i32+i3-1-12−i30000000000000000000
χ5544-4-2-2-2-2001022−2i32i312i3−2i32-2000−1−i3−1+i3−1+i3−1−i3-1i3−i3-33-12−i32+i3-101+i31−i31−i31+i3−i3i31−2+i3−2−i310000000000000000000
χ5644-4-2-2-2-2001022−2i32i312i3−2i3-220001+i31−i31−i31+i3-1i3−i3-331−2+i3−2−i310−1−i3−1+i3−1+i3−1−i3−i3i3-12−i32+i3-10000000000000000000
χ5744-4-2-2-2-20010222i3−2i31−2i32i32-2000−1+i3−1−i3−1−i3−1+i3-1−i3i3-33-12+i32−i3-101−i31+i31+i31−i3i3−i31−2−i3−2+i310000000000000000000
χ5844-4-2-2-2-20010222i3−2i31−2i32i3-220001−i31+i31+i31−i3-1−i3i3-331−2−i3−2+i310−1+i3−1−i3−1−i3−1+i3i3−i3-12+i32−i3-10000000000000000000
χ5944-4-2-2-2-20010222i3−2i312i3−2i32-2000−1+i3−1−i3−1+i3−1−i3-1−i3i33-32−i3-1-12+i301−i31+i31−i31+i3−i3i3−2+i311−2−i30000000000000000000
χ6044-4-2-2-2-20010222i3−2i312i3−2i3-220001−i31+i31−i31+i3-1−i3i33-3−2+i311−2−i30−1+i3−1−i3−1+i3−1−i3−i3i32−i3-1-12+i30000000000000000000
χ618-8088-8-800800000-800000000000000000000000000000000000000000000000000
χ628-808-4-8400-4000004000000000000000000000000000000000000023−2300000000000
χ638-808-4-8400-40000040000000000000000000000000000000000000−232300000000000
χ648-80-484-800-40000040000000000000000000000000000000000023−230000000000000
χ658-80-484-800-400000400000000000000000000000000000000000−23230000000000000
χ6616-160-8-88800400000-400000000000000000000000000000000000000000000000000

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