Finite Group Databasebeta

← Group #11778006

Character table — Group #11778006

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444444444448888888824242424242424242424242424242424242424242424242436367272727272
order12222222336666666666666666666666222244446666666612121212121212124448888
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5111111-1-11111111111-1-1-1-11111-1-1-1-1-1-11-1111-1-1-111-1-1111111-1-1-1-1-1-111-111-1-1
χ6111111-1-11111111111-1-1-1-11111-1-1-1-1-1-11-1-1-11-11111-1-1-1-1-1-111-1-1111111-1-1-111
χ7111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1111-11-1-1-1-1111111-1-111-1-1-1-111-1-1-111
χ8111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1111-1-111-1-1-1-1-1-111111111-111-1-1
χ922222222222222222222222222222222000000000000000000000000-2-2-20000
χ10222222-2-22222222222-2-2-2-22222-2-2-2-2-2-2000000000000000000000000-2-220000
χ112222-2-2002222222-2-2-200002-2-2-200000002000-2000022000000-2-200002-200000
χ122222-2-2002222222-2-2-200002-2-2-20000000-200020000-2-20000002200002-200000
χ132222-2-2002222222-2-2-200002-2-2-20000002000-200022000000-2-2000000-2200000
χ142222-2-2002222222-2-2-200002-2-2-2000000-20002000-2-200000022000000-2200000
χ1522-2-2-222-2222-2-2-2-22-2-222-2-2222-2222-2-2-20000000000000000000000000002−22−2
χ1622-2-2-222-2222-2-2-2-22-2-222-2-2222-2222-2-2-2000000000000000000000000000−22−22
χ1722-2-2-22-22222-2-2-2-22-2-2-2-222222-2-2-2-22220000000000000000000000000002−2−22
χ1822-2-2-22-22222-2-2-2-22-2-2-2-222222-2-2-2-2222000000000000000000000000000−222−2
χ19444444441-2111-2-2111-2-2-2-2-21-2-211-211-2002200220000-1-1-1-10000-1-1-1-10000000
χ20444444441-2111-2-2111-2-2-2-2-21-2-211-211-200-2-200-2-200001111000011110000000
χ2144444444-21-2-2-211-2-2-211111-211-2-21-2-2122002200-1-1-1-10000-1-1-1-100000000000
χ2244444444-21-2-2-211-2-2-211111-211-2-21-2-21-2-200-2-20011110000111100000000000
χ23444444-4-41-2111-2-21112222-21-2-2-1-12-1-12002200-2-20000-1-1-1-1000011110000000
χ24444444-4-41-2111-2-21112222-21-2-2-1-12-1-1200-2-20022000011110000-1-1-1-10000000
χ25444444-4-4-21-2-2-211-2-2-2-1-1-1-11-21122-122-12-2002-200-1-1110000-1-11100000000000
χ26444444-4-4-21-2-2-211-2-2-2-1-1-1-11-21122-122-1-2200-220011-1-1000011-1-100000000000
χ274444-4-400-21-2-2-211222333312-1-100-300-32-200-2200-1-111000011-1-100000000000
χ284444-4-400-21-2-2-211222333312-1-100-300-3-22002-20011-1-10000-1-11100000000000
χ294444-4-400-21-2-2-211222-3-3-3-312-1-10030032200-2-200-1-1-1-10000111100000000000
χ304444-4-400-21-2-2-211222-3-3-3-312-1-1003003-2-200220011110000-1-1-1-100000000000
χ3144-4-44-400444-4-4-4-4-44400004-4-440000000000000000000000000000000000000
χ3244-4-44-400-21-222-1-12-2-233-3-312-1100-300300000000−i3i3−i3i30000−i3i3−i3i300000000000
χ3344-4-44-400-21-222-1-12-2-233-3-312-1100-300300000000i3−i3i3−i30000i3−i3i3−i300000000000
χ3444-4-44-400-21-222-1-12-2-2-3-33312-1100300-300000000−i3i3i3−i30000−i3i3i3−i300000000000
χ3544-4-44-400-21-222-1-12-2-2-3-33312-1100300-300000000i3−i3−i3i30000i3−i3−i3i300000000000
χ3644-4-4-444-41-21-1-1221-1-1-2-222-21-2211-2-1-12000000000000−i3−i3i3i30000−i3−i3i3i30000000
χ3744-4-4-444-41-21-1-1221-1-1-2-222-21-2211-2-1-12000000000000i3i3−i3−i30000i3i3−i3−i30000000
χ3844-4-4-444-4-21-222-1-1-22211-1-11-21-1-2-2122-100000000−i3i3i3−i30000i3−i3−i3i300000000000
χ3944-4-4-444-4-21-222-1-1-22211-1-11-21-1-2-2122-100000000i3−i3−i3i30000−i3i3i3−i300000000000
χ4044-4-4-44-441-21-1-1221-1-122-2-2-21-22-1-1211-2000000000000−i3−i3i3i30000i3i3−i3−i30000000
χ4144-4-4-44-441-21-1-1221-1-122-2-2-21-22-1-1211-2000000000000i3i3−i3−i30000−i3−i3i3i30000000
χ4244-4-4-44-44-21-222-1-1-222-1-1111-21-122-1-2-2100000000−i3i3−i3i30000i3−i3i3−i300000000000
χ4344-4-4-44-44-21-222-1-1-222-1-1111-21-122-1-2-2100000000i3−i3i3−i30000−i3i3−i3i300000000000
χ444-44-400001-2-11-12-233-3−2i32i3−2i32i32-300−i3i30−i3i300000002-20000−i3i3−i3i300001-11-10000000
χ454-44-400001-2-11-12-233-3−2i32i3−2i32i32-300−i3i30−i3i30000000-220000i3−i3i3−i30000-11-110000000
χ464-44-400001-2-11-12-233-32i3−2i32i3−2i32-300i3−i30i3−i300000002-20000i3−i3i3−i300001-11-10000000
χ474-44-400001-2-11-12-233-32i3−2i32i3−2i32-300i3−i30i3−i30000000-220000−i3i3−i3i30000-11-110000000
χ484-44-4000044-44-4-440000000-40000000000000002-2000000000000-22-220000000
χ494-44-4000044-44-4-440000000-4000000000000000-220000000000002-22-20000000
χ504-4-4400001-2-1-11-223-33−2i32i32i3−2i32-300−i3i30i3−i30002-2000000001-1-110000−i3i3i3−i30000000
χ514-4-4400001-2-1-11-223-33−2i32i32i3−2i32-300−i3i30i3−i3000-2200000000-111-10000i3−i3−i3i30000000
χ524-4-4400001-2-1-11-223-332i3−2i3−2i32i32-300i3−i30−i3i30002-2000000001-1-110000i3−i3−i3i30000000
χ534-4-4400001-2-1-11-223-332i3−2i3−2i32i32-300i3−i30−i3i3000-2200000000-111-10000−i3i3i3−i30000000
χ544-4-44000044-4-444-40000000-4000000000002-200000000-222-2000000000000000
χ554-4-44000044-4-444-40000000-400000000000-22000000002-2-22000000000000000
χ568888-8-8002-4222-4-4-2-2-20000-4-2440000000000000000000000000000000000000
χ5788-8-88-8002-42-2-244-2220000-4-24-40000000000000000000000000000000000000
χ588-88-800002-4-22-24-4-6-66000046000000000000000000000000000000000000000
χ598-88-80000-424-44-22000−2i32i3−2i32i3-20002i3−2i302i3−2i300000000000000000000000000000000
χ608-88-80000-424-44-220002i3−2i32i3−2i3-2000−2i32i30−2i32i300000000000000000000000000000000
χ618-8-8800002-4-2-22-44-66-6000046000000000000000000000000000000000000000
χ628-8-880000-4244-42-2000−2i32i32i3−2i3-20002i3−2i30−2i32i300000000000000000000000000000000
χ638-8-880000-4244-42-20002i3−2i3−2i32i3-2000−2i32i302i3−2i300000000000000000000000000000000

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