Finite Group Databasebeta

← Group #11798639

Character table — Group #11798639

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11222224444444444488888888888888888888888888888242424242424242448484848484848487272144
order122336622346666612122466666666666666661212121212121212121212244466121248121212122424244
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
χ5111111111111111111-1-111-1-11-1-111111-1-1-1-11-1-1-1-111-1-1-1-111111111-1-111-1-1-1-111-1
χ6111111111111111111-1-111-1-11-1-111111-1-1-1-11-1-1-1-111-1-1-1-11-11-111-1-1-11-11-1-111-1-11
χ7111111111111111111-1-111-1-11-1-111111-1-1-1-11-1-1-1-111-1-1-1-1-11-11-1-1111-11-111-1-1-1-11
χ8111111111111111111-1-111-1-11-1-111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1
χ922222222-22-222222-2-2002-200-200222-2-20000-20000-2-2000020-202200000-20000000
χ1022222222-22-222222-2-2002-200-200222-2-20000-20000-2-20000-2020-2-20000020000000
χ112222222-222-222-2-22-2-200-22002002-2-2220000-20000-2-2000000000000000000002-20
χ122222222-222-222-2-22-2-200-22002002-2-2220000-20000-2-200000000000000000000-220
χ132222222-2-22222-2-222200-2-200-2002-2-2-2-2000020000220000020-200-2-200200000000
χ142222222-2-22222-2-222200-2-200-2002-2-2-2-20000200002200000-202002200-200000000
χ152222-1-1222-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12020-1-100200-1-1-100000
χ162222-1-1222-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-20-201100-20011100000
χ172222-1-1222-122-1-1-1-122-2-222-2-2-111-1-1-1-1-11111-111-2-2-1-111112020-1-100-200-11100000
χ182222-1-1222-122-1-1-1-122-2-222-2-2-111-1-1-1-1-11111-111-2-2-1-11111-20-2011002001-1-100000
χ192222-1-122-2-1-22-1-1-1-1-2-2002-2001−i3i3-1-1-111−i3−i3i3i31−i3i30011−i3−i3i3i320-20-1-1000001−i3i300000
χ202222-1-122-2-1-22-1-1-1-1-2-2002-2001−i3i3-1-1-111−i3−i3i3i31−i3i30011−i3−i3i3i3-20201100000-1i3−i300000
χ212222-1-122-2-1-22-1-1-1-1-2-2002-2001i3−i3-1-1-111i3i3−i3−i31i3−i30011i3i3−i3−i320-20-1-1000001i3−i300000
χ222222-1-122-2-1-22-1-1-1-1-2-2002-2001i3−i3-1-1-111i3i3−i3−i31i3−i30011i3i3−i3−i3-20201100000-1−i3i300000
χ23222-122-122-12-1222-1-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1020200-1-102-1000-1-1000
χ24222-122-122-12-1222-1-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-10-20-200110-2100011000
χ25222-122-122-12-1222-1-1-1-2-2-1-1112-2-2-1-1-1-1-111112-2-211-1-11111020200-1-10-2-100011000
χ26222-122-122-12-1222-1-1-1-2-2-1-1112-2-2-1-1-1-1-111112-2-211-1-111110-20-20011021000-1-1000
χ27222-122-1-2-2-12-12-2-2-1-1-10011−i3i3-200-11111−i3i3−i3i3200−i3i3-1-1−i3i3−i3i3020-2001100-1000−i3i3000
χ28222-122-1-2-2-12-12-2-2-1-1-10011−i3i3-200-11111−i3i3−i3i3200−i3i3-1-1−i3i3−i3i30-20200-1-1001000i3−i3000
χ29222-122-1-2-2-12-12-2-2-1-1-10011i3−i3-200-11111i3−i3i3−i3200i3−i3-1-1i3−i3i3−i3020-2001100-1000i3−i3000
χ30222-122-1-2-2-12-12-2-2-1-1-10011i3−i3-200-11111i3−i3i3−i3200i3−i3-1-1i3−i3i3−i30-20200-1-1001000−i3i3000
χ314444-2-24-44-2-44-222-2-4-400-4400-200-222-2-20000200002200000000000000000000000
χ324444-2-24-4-4-244-222-24400-4-400200-222220000-20000-2-200000000000000000000000
χ33444-244-24-4-2-4-2444-22200-2200-400-2-2-2220000-400002200000000000000000000000
χ34444-244-2-44-2-4-24-4-4-222002-200400-222-2-20000-400002200000000000000000000000
χ35444-2-2-2-24414-2-2-2-21-2-244-2-2-2-2-2-2-2111111111-2-2-2-2-21111110000000000000000000
χ36444-2-2-2-24414-2-2-2-21-2-2-4-4-2-222-22211111-1-1-1-1-2222211-1-1-1-10000000000000000000
χ37444-2-2-2-24-41-4-2-2-2-212200-22002−2i32i3111-1-1i3i3−i3−i32−2i32i300-1-1i3i3−i3−i30000000000000000000
χ38444-2-2-2-24-41-4-2-2-2-212200-220022i3−2i3111-1-1−i3−i3i3i322i3−2i300-1-1−i3−i3i3i30000000000000000000
χ39444-2-2-2-2-441-4-2-222122002-200-2001-1-1113-3-3320000-1-13-3-330000000000000000000
χ40444-2-2-2-2-441-4-2-222122002-200-2001-1-111-333-320000-1-1-333-30000000000000000000
χ41444-2-2-2-2-4-414-2-2221-2-20022−2i32i32001-1-1-1-1i3−i3i3−i3-200−2i32i311i3−i3i3−i30000000000000000000
χ42444-2-2-2-2-4-414-2-2221-2-200222i3−2i32001-1-1-1-1−i3i3−i3i3-2002i3−2i311−i3i3−i3i30000000000000000000
χ4344-444440040-4-4004002-20022022-4000022220-2-2-2-200-2-2-2-20000000000000000000
χ4444-444440040-4-400400-2200-2-20-2-2-40000-2-2-2-2022220022220000000000000000000
χ4544-44-2-2400-20-42−2i32i3-2002-200220−1−i3−1+i32−2i32i300−1−i3−1−i3−1+i3−1+i301+i31−i3-2-2001+i31+i31−i31−i30000000000000000000
χ4644-44-2-2400-20-42−2i32i3-200-2200-2-201+i31−i32−2i32i3001+i31+i31−i31−i30−1−i3−1+i32200−1−i3−1−i3−1+i3−1+i30000000000000000000
χ4744-44-2-2400-20-422i3−2i3-2002-200220−1+i3−1−i322i3−2i300−1+i3−1+i3−1−i3−1−i301−i31+i3-2-2001−i31−i31+i31+i30000000000000000000
χ4844-44-2-2400-20-422i3−2i3-200-2200-2-201−i31+i322i3−2i3001−i31−i31+i31+i30−1+i3−1−i32200−1+i3−1+i3−1−i3−1−i30000000000000000000
χ4944-4-244-200-202-400-2−2i32i32-200−1−i3−1+i302220000−1−i3−1+i3−1−i3−1+i30-2-21+i31−i3−2i32i31+i31−i31+i31−i30000000000000000000
χ5044-4-244-200-202-400-2−2i32i3-22001+i31−i30-2-2200001+i31−i31+i31−i3022−1−i3−1+i3−2i32i3−1−i3−1+i3−1−i3−1+i30000000000000000000
χ5144-4-244-200-202-400-22i3−2i32-200−1+i3−1−i302220000−1+i3−1−i3−1+i3−1−i30-2-21−i31+i32i3−2i31−i31+i31−i31+i30000000000000000000
χ5244-4-244-200-202-400-22i3−2i3-22001−i31+i30-2-2200001−i31+i31−i31+i3022−1+i3−1−i32i3−2i3−1+i3−1−i3−1+i3−1−i30000000000000000000
χ5344-4-2-2-2-2001022−2i32i31−2i32i32-200−1−i3−1+i30−1−i3−1+i3-1i3−i33-32+i3-1-12−i301+i31−i31+i31−i3i3−i3−2−i311−2+i30000000000000000000
χ5444-4-2-2-2-2001022−2i32i31−2i32i3-22001+i31−i301+i31−i3-1i3−i33-3−2−i311−2+i30−1−i3−1+i3−1−i3−1+i3i3−i32+i3-1-12−i30000000000000000000
χ5544-4-2-2-2-2001022−2i32i312i3−2i32-200−1+i3−1−i30−1−i3−1+i3-1i3−i3-33-12+i32−i3-101+i31−i31−i31+i3−i3i31−2−i3−2+i310000000000000000000
χ5644-4-2-2-2-2001022−2i32i312i3−2i3-22001−i31+i301+i31−i3-1i3−i3-331−2−i3−2+i310−1−i3−1+i3−1+i3−1−i3−i3i3-12+i32−i3-10000000000000000000
χ5744-4-2-2-2-20010222i3−2i31−2i32i32-200−1−i3−1+i30−1+i3−1−i3-1−i3i3-33-12−i32+i3-101−i31+i31+i31−i3i3−i31−2+i3−2−i310000000000000000000
χ5844-4-2-2-2-20010222i3−2i31−2i32i3-22001+i31−i301−i31+i3-1−i3i3-331−2+i3−2−i310−1+i3−1−i3−1−i3−1+i3i3−i3-12−i32+i3-10000000000000000000
χ5944-4-2-2-2-20010222i3−2i312i3−2i32-200−1+i3−1−i30−1+i3−1−i3-1−i3i33-32−i3-1-12+i301−i31+i31−i31+i3−i3i3−2+i311−2−i30000000000000000000
χ6044-4-2-2-2-20010222i3−2i312i3−2i3-22001−i31+i301−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
χ628-808-44-800-400000400000000000000000000000000000000000−2i32i30000000000000
χ638-808-44-800-4000004000000000000000000000000000000000002i3−2i30000000000000
χ648-80-48-8400-4000004000000000000000000000000000000000000023−2300000000000
χ658-80-48-8400-40000040000000000000000000000000000000000000−232300000000000
χ6616-160-8-88800400000-400000000000000000000000000000000000000000000000000

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