Finite Group Databasebeta

← Group #72218289

Character table — Group #72218289

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1133666681616242424242424242424324848484848484848484896969696969696969696969696128128128128128128128128
order1222444424448888888842222444444488881616161616161616366612121212
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3111111111-1-1111111111-1-1-11-11-11-11-1-11-11-11111-1-1-1-11111-1-1-1-1
χ4111111111-1-1111111111-1-1-1-11-11-11-11-1-11-11-1-1-1-111111111-1-1-1-1
χ511111111-111-1-1-1-1-11111-1-1-11-1-11-111-111-1-1111-1-111-1-11-1-1111-1-1
χ611111111-111-1-1-1-1-11111-1-1-1-111-11-1-111-111-1-1-111-1-1111-1-1111-1-1
χ711111111-1-1-1-1-1-1-1-1111111111-1-1-1-111-111-1-111-1-1-1-1111-1-11-1-111
χ811111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-111-1-11111-1-11-1-11-1-111
χ922222222222222222222222000000002000000000000-1-1-1-1-1-1-1-1
χ10222222222-2-2222222222-2-2-200000000-2000000000000-1-1-1-11111
χ1122222222-222-2-2-2-2-22222-2-2-2000000002000000000000-111-1-1-111
χ1222222222-2-2-2-2-2-2-2-2222222200000000-2000000000000-111-111-1-1
χ13333333333333-1-1-1-1-1-1-1-13-1-111111111-11111-1-1-1-1-1-1-1-100000000
χ14333333333333-1-1-1-1-1-1-1-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111100000000
χ15333333333-3-33-1-1-1-1-1-1-1-1-3111-11-11-11-111-11-1-1-1-1-1111100000000
χ16333333333-3-33-1-1-1-1-1-1-1-1-311-11-11-11-111-11-111111-1-1-1-100000000
χ1733333333-333-31111-1-1-1-1-3111-1-11-111-1-11-1-11-1-111-1-11100000000
χ1833333333-333-31111-1-1-1-1-311-111-11-1-11-1-111-111-1-111-1-100000000
χ1933333333-3-3-3-31111-1-1-1-13-1-111-1-1-1-111111-1-1-1-11111-1-100000000
χ2033333333-3-3-3-31111-1-1-1-13-1-1-1-11111-1-11-1-11111-1-1-1-11100000000
χ214-4-4444-4-404i−4i0000000000000000000000000000000001−i3i3-1i−i3−3
χ224-4-4444-4-404i−4i0000000000000000000000000000000001i3−i3-1i−i−33
χ234-4-4444-4-404i−4i000000000000000000000000000000000-2002−2i2i00
χ244-4-4444-4-40−4i4i0000000000000000000000000000000001−i3i3-1−ii−33
χ254-4-4444-4-40−4i4i0000000000000000000000000000000001i3−i3-1−ii3−3
χ264-4-4444-4-40−4i4i000000000000000000000000000000000-20022i−2i00
χ276666-2-2-2-2600-222-2-222-2-20000202020200-20-20000000000000000
χ286666-2-2-2-2600-222-2-222-2-20000-20-20-20-2002020000000000000000
χ296666-2-2-2-2600-2-2-222-2-222000202020200-20-200000000000000000
χ306666-2-2-2-2600-2-2-222-2-222000-20-20-20-20020200000000000000000
χ316666-2-2-2-2-600222-2-2-2-22200020-20-20200-20200000000000000000
χ326666-2-2-2-2-600222-2-2-2-222000-202020-20020-200000000000000000
χ336666-2-2-2-2-6002-2-22222-2-2000020-20-20200-2020000000000000000
χ346666-2-2-2-2-6002-2-22222-2-20000-202020-20020-20000000000000000
χ351212-4-44-44-4000000004-40000000040-400000000000000000000000
χ361212-4-44-44-4000000004-400000000-40400000000000000000000000
χ371212-4-44-44-400000000-44000000400000-4000000000000000000000
χ381212-4-44-44-400000000-44000000-4000004000000000000000000000
χ391212-4-4-44-4400000000004-40000040-4000000000000000000000000
χ401212-4-4-44-4400000000004-400000-404000000000000000000000000
χ411212-4-4-44-440000000000-44000400000-40000000000000000000000
χ421212-4-4-44-440000000000-44000-40000040000000000000000000000
χ4312-124-44-4-4400004i−4i000000000000000000000000002i−2i2-200000000
χ4412-124-44-4-4400004i−4i00000000000000000000000000−2i2i-2200000000
χ4512-124-44-4-440000−4i4i000000000000000000000000002i−2i-2200000000
χ4612-124-44-4-440000−4i4i00000000000000000000000000−2i2i2-200000000
χ4712-124-4-444-40000004i−4i000000000000000000002-22i−2i000000000000
χ4812-124-4-444-40000004i−4i00000000000000000000-22−2i2i000000000000
χ4912-124-4-444-4000000−4i4i000000000000000000002-2−2i2i000000000000
χ5012-124-4-444-4000000−4i4i00000000000000000000-222i−2i000000000000
χ5112-12-1212-4-44400000000000004-400000000000000000000000000000
χ5212-12-1212-4-4440000000000000-4400000000000000000000000000000

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