Finite Group Databasebeta

← Group #11798607

Character table — Group #11798607

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11222224444444444488888888888888888888888888888121212122424242424243636484848484848484872144
order1223366223466666121224666666666666666612121212121212121212124444241212121244468121212242444
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1111-1-1-1-11-1-1111-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1111-1-1-111-1-1-111-1-1-111-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ5111111111111111111-1-11-1-111-1-111111-1-1-1-1-1-11-1-111-1-1-1-1111111111111-11-11-1-1-1-11-1
χ6111111111111111111-1-11-1-111-1-111111-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1111-1-1-1-1-1-111-1-111-11
χ7111111111111111111-1-11-1-111-1-111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1111-1-1-111-1-111-1-111-1-1-11
χ8111111111111111111-1-11-1-111-1-111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-111111-1
χ922222222-22-222222-2-200-2002-200222-2-2000000-200-2-2000022000-2220000000-2000000
χ1022222222-22-222222-2-200-2002-200222-2-2000000-200-2-20000-2-20002-2-200000002000000
χ112222222-222-22-2-222-2-200200-22002-2-222000000-200-2-2000000000000002200000000-20
χ122222222-222-22-2-222-2-200200-22002-2-222000000-200-2-200000000000000-2-20000000020
χ132222222-2-2222-2-2222200-200-2-2002-2-2-2-20000002002200000022-200022000-200000000
χ142222222-2-2222-2-2222200-200-2-2002-2-2-2-200000020022000000-2-22000-2-2000200000000
χ152222-1-1222-12222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-100222000-1-1000-12000-1-100
χ162222-1-1222-12222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-100-2-2-2000110001-20001100
χ172222-1-1222-12222-1-1-1-1-2-22-2-2-1-111-1-1-1-1-11111112-2-2-1-1111100222000-1-1000-1-20001100
χ182222-1-1222-12222-1-1-1-1-2-22-2-2-1-111-1-1-1-1-11111112-2-2-1-1111100-2-2-20001100012000-1-100
χ192222-1-12-2-2-122-2-2-1-1-1-100-20011−i3i3-11111−i3−i3i3i3−i3i3200-1-1−i3−i3i3i30022-2000-1-100010000−i3i300
χ202222-1-12-2-2-122-2-2-1-1-1-100-20011−i3i3-11111−i3−i3i3i3−i3i3200-1-1−i3−i3i3i300-2-2200011000-10000i3−i300
χ212222-1-12-2-2-122-2-2-1-1-1-100-20011i3−i3-11111i3i3−i3−i3i3−i3200-1-1i3i3−i3−i30022-2000-1-100010000i3−i300
χ222222-1-12-2-2-122-2-2-1-1-1-100-20011i3−i3-11111i3i3−i3−i3i3−i3200-1-1i3i3−i3−i300-2-2200011000-10000−i3i300
χ23222-122-122-12-1-1-12-12222-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1220002-1-10000200-1-1-10000
χ24222-122-122-12-1-1-12-12222-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2000-2110000-2001110000
χ25222-122-122-12-1-1-12-122-2-2-11122-2-2-1-1-1-1-11111-2-2-111-1-11111220002-1-10000-200-1110000
χ26222-122-122-12-1-1-12-122-2-2-11122-2-2-1-1-1-1-11111-2-2-111-1-11111-2-2000-21100002001-1-10000
χ27222-122-12-2-1-2-1-1-12-1-2-2001−i3i32-200-1-1-111−i3i3−i3i3001−i3i311−i3i3−i3i322000-2-1-100000001−i3i30000
χ28222-122-12-2-1-2-1-1-12-1-2-2001−i3i32-200-1-1-111−i3i3−i3i3001−i3i311−i3i3−i3i3-2-20002110000000-1i3−i30000
χ29222-122-12-2-1-2-1-1-12-1-2-2001i3−i32-200-1-1-111i3−i3i3−i3001i3−i311i3−i3i3−i322000-2-1-100000001i3−i30000
χ30222-122-12-2-1-2-1-1-12-1-2-2001i3−i32-200-1-1-111i3−i3i3−i3001i3−i311i3−i3i3−i3-2-20002110000000-1−i3i30000
χ314444-2-244-4-2-4444-2-22200-400-2200-2-2-222000000-4002200000000000000000000000000
χ324444-2-24-44-2-44-4-4-2-222004002-200-222-2-2000000-4002200000000000000000000000000
χ33444-244-2-44-2-4-2224-2-4-400-200-4400-222-2-20000002002200000000000000000000000000
χ34444-244-2-4-4-24-2224-24400200-4-400-22222000000-200-2-200000000000000000000000000
χ35444-2-2-2-24414-2-2-2-21-2-244-2-2-2-2-2-2-2111111111-2-2-2-2-21111110000000000000000000000
χ36444-2-2-2-24414-2-2-2-21-2-2-4-4-222-2-22211111-1-1-1-122-22211-1-1-1-10000000000000000000000
χ37444-2-2-2-24-41-4-2-2-2-2122002−2i32i3-2200111-1-1i3−i3i3−i3002−2i32i3-1-1i3−i3i3−i30000000000000000000000
χ38444-2-2-2-24-41-4-2-2-2-21220022i3−2i3-2200111-1-1−i3i3−i3i30022i3−2i3-1-1−i3i3−i3i30000000000000000000000
χ39444-2-2-2-2-441-4-222-212200-2002-2001-1-1113-3-3300200-1-13-3-330000000000000000000000
χ40444-2-2-2-2-441-4-222-212200-2002-2001-1-111-333-300200-1-1-333-30000000000000000000000
χ41444-2-2-2-2-4-414-222-21-2-20020022−2i32i31-1-1-1-1i3i3−i3−i3−2i32i3-20011i3i3−i3−i30000000000000000000000
χ42444-2-2-2-2-4-414-222-21-2-200200222i3−2i31-1-1-1-1−i3−i3i3i32i3−2i3-20011−i3−i3i3i30000000000000000000000
χ4344-444440040-400-44002-20220022-400002222-2-20-2-200-2-2-2-20000000000000000000000
χ4444-444440040-400-4400-220-2-200-2-2-40000-2-2-2-2220220022220000000000000000000000
χ4544-44-2-2400-20-4002-2−2i32i32-202200−1−i3−1+i320000−1−i3−1−i3−1+i3−1+i31+i31−i30-2-2−2i32i31+i31+i31−i31−i30000000000000000000000
χ4644-44-2-2400-20-4002-2−2i32i3-220-2-2001+i31−i3200001+i31+i31−i31−i3−1−i3−1+i3022−2i32i3−1−i3−1−i3−1+i3−1+i30000000000000000000000
χ4744-44-2-2400-20-4002-22i3−2i32-202200−1+i3−1−i320000−1+i3−1+i3−1−i3−1−i31−i31+i30-2-22i3−2i31−i31−i31+i31+i30000000000000000000000
χ4844-44-2-2400-20-4002-22i3−2i3-220-2-2001−i31+i3200001−i31−i31+i31+i3−1+i3−1−i30222i3−2i3−1+i3−1+i3−1−i3−1−i30000000000000000000000
χ4944-4-244-200-202−2i32i3-4-2002-20−1−i3−1+i300222−2i32i300−1−i3−1+i3−1−i3−1+i3-2-201+i31−i3001+i31−i31+i31−i30000000000000000000000
χ5044-4-244-200-202−2i32i3-4-200-2201+i31−i300-2-22−2i32i3001+i31−i31+i31−i3220−1−i3−1+i300−1−i3−1+i3−1−i3−1+i30000000000000000000000
χ5144-4-244-200-2022i3−2i3-4-2002-20−1+i3−1−i3002222i3−2i300−1+i3−1−i3−1+i3−1−i3-2-201−i31+i3001−i31+i31−i31+i30000000000000000000000
χ5244-4-244-200-2022i3−2i3-4-200-2201−i31+i300-2-222i3−2i3001−i31+i31−i31+i3220−1+i3−1−i300−1+i3−1−i3−1+i3−1−i30000000000000000000000
χ5344-4-2-2-2-200102−2i32i321−2i32i32-20−1−i3−1+i300−1−i3−1+i3-1i3−i33-32+i3-1-12−i31+i31−i301+i31−i3i3−i3−2−i311−2+i30000000000000000000000
χ5444-4-2-2-2-200102−2i32i321−2i32i3-2201+i31−i3001+i31−i3-1i3−i33-3−2−i311−2+i3−1−i3−1+i30−1−i3−1+i3i3−i32+i3-1-12−i30000000000000000000000
χ5544-4-2-2-2-200102−2i32i3212i3−2i32-20−1−i3−1+i300−1+i3−1−i3-1i3−i3-33-12−i32+i3-11−i31+i301+i31−i3−i3i31−2+i3−2−i310000000000000000000000
χ5644-4-2-2-2-200102−2i32i3212i3−2i3-2201+i31−i3001−i31+i3-1i3−i3-331−2+i3−2−i31−1+i3−1−i30−1−i3−1+i3−i3i3-12−i32+i3-10000000000000000000000
χ5744-4-2-2-2-2001022i3−2i321−2i32i32-20−1+i3−1−i300−1−i3−1+i3-1−i3i3-33-12+i32−i3-11+i31−i301−i31+i3i3−i31−2−i3−2+i310000000000000000000000
χ5844-4-2-2-2-2001022i3−2i321−2i32i3-2201−i31+i3001+i31−i3-1−i3i3-331−2−i3−2+i31−1−i3−1+i30−1+i3−1−i3i3−i3-12+i32−i3-10000000000000000000000
χ5944-4-2-2-2-2001022i3−2i3212i3−2i32-20−1+i3−1−i300−1+i3−1−i3-1−i3i33-32−i3-1-12+i31−i31+i301−i31+i3−i3i3−2+i311−2−i30000000000000000000000
χ6044-4-2-2-2-2001022i3−2i3212i3−2i3-2201−i31+i3001−i31+i3-1−i3i33-3−2+i311−2−i3−1+i3−1−i30−1+i3−1−i3−i3i32−i3-1-12+i30000000000000000000000
χ614-4044-4-400400000-400000000000000000000000000000002i−2i2-2002i−2i2-22i−2i0000000000
χ624-4044-4-400400000-400000000000000000000000000000002i−2i-22002i−2i-22−2i2i0000000000
χ634-4044-4-400400000-40000000000000000000000000000000−2i2i2-200−2i2i2-2−2i2i0000000000
χ644-4044-4-400400000-40000000000000000000000000000000−2i2i-2200−2i2i-222i−2i0000000000
χ658-808-44-800-40000040000000000000000000000000000000004-40000-22000000000000
χ668-808-44-800-4000004000000000000000000000000000000000-4400002-2000000000000
χ678-80-48-8400-400000400000000000000000000000000000004i−4i0000−2i2i00000000000000
χ688-80-48-8400-40000040000000000000000000000000000000−4i4i00002i−2i00000000000000
χ6916-160-8-88800400000-400000000000000000000000000000000000000000000000000000

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