Finite Group Databasebeta

← Group #11921756

Character table — Group #11921756

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size111122222244668888121212121216161616161616161616242424242424242424363636363636363648484848484872
order122234466612124436662241212366612121212121222881224242424444488886666664
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1
χ3111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1
χ4111111111111111111-1-11111111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-11
χ511111-1-1111-1-11111111-1-1111111-1-1-1-1-1-11-11-1-111-1-11-111-1-1111-111-1-1-1
χ611111-1-1111-1-11111111-1-1111111-1-1-1-1-1-1-11-11-1-1-1111-1-1-111-1-1-1111-1-11
χ711111-1-1111-1-1111111-11-1111111-1-1-1-1-1-11-11-1-111-1-1-11-1-111-1-11-1-1-1111
χ811111-1-1111-1-1111111-11-1111111-1-1-1-1-1-1-11-11-1-1-111-1111-1-111-11-1-111-1
χ922222222222222-1-1-1-122222-1-1-1-1-1-1-1-1-1-10000200002200000000-1-1-1-10
χ1022222222222222-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1000020000-2-20000000011110
χ1122222-2-2222-2-222-1-1-1-12-2-222-1-1-1-11111110000-200002-200000000-1-1110
χ1222222-2-2222-2-222-1-1-1-1-22-222-1-1-1-11111110000-20000-220000000011-1-10
χ132222-122-1-1-1-1-1222222002-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-100000000-1-100000
χ142222-122-1-1-1-1-1222222002-1-1-1-1-1-122-1-1-1-1-2-2-2-2-11111000000001100000
χ152222-1-2-2-1-1-11122222200-2-1-1-1-1-1-1-2-211112-22-21-1-11100000000-1100000
χ162222-1-2-2-1-1-11122222200-2-1-1-1-1-1-1-2-21111-22-22111-1-1000000001-100000
χ172-2-22200-22-200-2222-2-2000-2222-2-2000000000000000002-2002-20000000
χ182-2-22200-22-200-2222-2-2000-2222-2-200000000000000000-2200-220000000
χ19333333333333-1-1000033-1-1-1000000000011-1-1-1-1-1-1-1-1-111-1-1-1-11100001
χ20333333333333-1-1000033-1-1-10000000000-1-111-11111-1-1-1-11111-1-10000-1
χ21333333333333-1-10000-3-3-1-1-1000000000011-1-1-1-1-1-1-111-1-11111110000-1
χ22333333333333-1-10000-3-3-1-1-10000000000-1-111-111111111-1-1-1-1-1-100001
χ2333333-3-3333-3-3-1-100003-31-1-100000000001-1-111-1-111-111111-1-11-10000-1
χ2433333-3-3333-3-3-1-100003-31-1-10000000000-111-1111-1-1-11-1-1-1-111-1100001
χ2533333-3-3333-3-3-1-10000-331-1-100000000001-1-111-1-1111-1-1-1-1-1111-100001
χ2633333-3-3333-3-3-1-10000-331-1-10000000000-111-1111-1-11-11111-1-1-110000-1
χ274444-244-2-2-2-2-244-2-2-2-2004-2-21111-2-211110000-20000000000000000000
χ284444-2-4-4-2-2-22244-2-2-2-200-4-2-2111122-1-1-1-1000020000000000000000000
χ2944-4-444-44-4-44-4001-1-11000001-1-111-111-1-10000000000000000000−i3i3−i3i30
χ3044-4-444-44-4-44-4001-1-11000001-1-111-111-1-10000000000000000000i3−i3i3−i30
χ3144-4-444-44-4-44-400-222-200000-222-2-22-2-222000000000000000000000000
χ3244-4-44-444-4-4-44001-1-11000001-1-11-11-1-1110000000000000000000−i3i3i3−i30
χ3344-4-44-444-4-4-44001-1-11000001-1-11-11-1-1110000000000000000000i3−i3−i3i30
χ3444-4-44-444-4-4-4400-222-200000-222-22-222-2-2000000000000000000000000
χ3544-4-4-24-4-222-2200-222-2000001-1-11-2211-1-1000006−66−6000000000000000
χ3644-4-4-24-4-222-2200-222-2000001-1-11-2211-1-100000−66−66000000000000000
χ3744-4-4-2-44-2222-200-222-2000001-1-112-2-1-111000006−6−66000000000000000
χ3844-4-4-2-44-2222-200-222-2000001-1-112-2-1-11100000−666−6000000000000000
χ394-44-4400-4-440000-22-2200000-22-220000000000000000000−2i22i2000000000
χ404-44-4400-4-440000-22-2200000-22-2200000000000000000002i2−2i2000000000
χ414-4-44400-44-400-44-2-222000-44-2-222000000000000000000000000000000
χ424-4-44-2002-2200-4444-4-40002-2-2-222000000000000000000000000000000
χ434-4-44-2002-2200-44-2-2220002-211-1-1003i−3i3i−3i000000000000000000000000
χ444-4-44-2002-2200-44-2-2220002-211-1-100−3i3i−3i3i000000000000000000000000
χ456666-366-3-3-3-3-3-2-2000000-211000000000022-2-21111100000000-1-100000
χ466666-366-3-3-3-3-3-2-2000000-2110000000000-2-2221-1-1-1-1000000001100000
χ476666-3-6-6-3-3-333-2-200000021100000000002-2-22-111-1-100000000-1100000
χ486666-3-6-6-3-3-333-2-20000002110000000000-222-2-1-1-111000000001-100000
χ496-6-66600-66-6002-200000002-20000000000000000000002-200-220000000
χ506-6-66600-66-6002-200000002-2000000000000000000000-22002-20000000
χ5188-8-8-48-8-444-44002-2-2200000-111-12-2-1-111000000000000000000000000
χ5288-8-8-4-88-4444-4002-2-2200000-111-1-2211-1-1000000000000000000000000
χ538-88-8800-8-8800002-22-2000002-22-2000000000000000000000000000000
χ548-88-8-40044-400002-22-200000-11-11003i−3i−3i3i000000000000000000000000
χ558-88-8-40044-400002-22-200000-11-1100−3i3i3i−3i000000000000000000000000
χ568-88-8-40044-40000-44-44000002-22-2000000000000000000000000000000
χ5712-12-1212-6006-66004-40000000-220000000000000000000000000000000000

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