Finite Group Databasebeta

← Group #11922438

Character table — Group #11922438

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size111122222244668888121212121216161616161616161616242424242424242424363636363636363648484848484872
order12223446661212443666224121236661212121212122468824242424444488886661212122
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-111-111-1
χ31111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1
χ41111111111111111111-1-1111111111111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11
χ511111-1-1111-1-1111111-11-1111111-1-1-1-1-1-11-1-1-1111-1-1-111111-1-1111-1-1-1-1
χ611111-1-1111-1-1111111-11-1111111-1-1-1-1-1-1-11-11-1-1-111-11-1-1-1-111-1111-1-11
χ711111-1-1111-1-1111111-1-11111111-1-1-1-1-1-11-1-1-1111-1-11-1-1-1-1-1111-1-1-1111
χ811111-1-1111-1-1111111-1-11111111-1-1-1-1-1-1-11-11-1-1-1111-11111-1-1-1-1-1111-1
χ922222222222222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1002000000220000000-1-10-1-10
χ1022222222222222-1-1-1-12-2-222-1-1-1-1-1-1-1-1-1-1002000000-2-20000000110110
χ1122222-2-2222-2-222-1-1-1-1-22-222-1-1-1-111111100-2000000-220000000-1-10110
χ1222222-2-2222-2-222-1-1-1-1-2-2222-1-1-1-111111100-20000002-20000000110-1-10
χ132222-122-1-1-1-1-1222222200-1-1-1-1-1-122-1-1-1-122-122-1-1-1-100000000-100-1000
χ142222-122-1-1-1-1-1222222200-1-1-1-1-1-122-1-1-1-1-2-2-1-2-21111000000001001000
χ152222-1-2-2-1-1-111222222-200-1-1-1-1-1-1-2-211112-21-22-1-11100000000-1001000
χ162222-1-2-2-1-1-111222222-200-1-1-1-1-1-1-2-21111-2212-211-1-100000000100-1000
χ172-2-22200-22-200-222-22-20002-22-2-22000000000000000002-22-2000000000
χ182-2-22200-22-200-222-22-20002-22-2-2200000000000000000-22-22000000000
χ19333333333333-1-10000-133-1-1000000000011-1-1-1-1-1-1-1-1-111-1-1-1-11001001
χ20333333333333-1-10000-133-1-10000000000-1-1-1111111-1-1-1-11111-100-100-1
χ21333333333333-1-10000-1-3-3-1-1000000000011-1-1-1-1-1-1-111-1-11111100100-1
χ22333333333333-1-10000-1-3-3-1-10000000000-1-1-11111111111-1-1-1-1-100-1001
χ2333333-3-3333-3-3-1-1000013-3-1-100000000001-111-1-1-1111-111-1-111100-100-1
χ2433333-3-3333-3-3-1-1000013-3-1-10000000000-111-1111-1-11-1-1-111-1-1-1001001
χ2533333-3-3333-3-3-1-100001-33-1-100000000001-111-1-1-111-11-1-111-1-1100-1001
χ2633333-3-3333-3-3-1-100001-33-1-10000000000-111-1111-1-1-1111-1-111-100100-1
χ274444-244-2-2-2-2-244-2-2-2-2400-2-21111-2-2111100-2000000000000000000000
χ284444-2-4-4-2-2-22244-2-2-2-2-400-2-2111122-1-1-1-1002000000000000000000000
χ2944-4-4400-4-440000-222-200000-22-22000000000000000000000−2i22i20000000
χ3044-4-4400-4-440000-222-200000-22-220000000000000000000002i2−2i20000000
χ314-44-444i−4i4-4-44i−4i0011-1-10000011-1-1i−iii−i−i000000000000000000−i3i303−30
χ324-44-444i−4i4-4-44i−4i0011-1-10000011-1-1i−iii−i−i000000000000000000i3−i30−330
χ334-44-444i−4i4-4-44i−4i00-2-22200000-2-222−2i2i−2i−2i2i2i000000000000000000000000
χ344-44-44−4i4i4-4-4−4i4i0011-1-10000011-1-1−ii−i−iii000000000000000000−i3i30−330
χ354-44-44−4i4i4-4-4−4i4i0011-1-10000011-1-1−ii−i−iii000000000000000000i3−i303−30
χ364-44-44−4i4i4-4-4−4i4i00-2-22200000-2-2222i−2i2i2i−2i−2i000000000000000000000000
χ374-44-4-24i−4i-222−2i2i00-2-2220000011-1-1−2i2iii−i−i000006−6i6−i6000000000000000
χ384-44-4-24i−4i-222−2i2i00-2-2220000011-1-1−2i2iii−i−i00000−66−i6i6000000000000000
χ394-44-4-2−4i4i-2222i−2i00-2-2220000011-1-12i−2i−i−iii000006−6−i6i6000000000000000
χ404-44-4-2−4i4i-2222i−2i00-2-2220000011-1-12i−2i−i−iii00000−66i6−i6000000000000000
χ414-4-44400-44-400-44-22-220004-4-222-2000000000000000000000000000000
χ424-4-44-2002-2200-444-44-4000-22-222-2000000000000000000000000000000
χ434-4-44-2002-2200-44-22-22000-221-1-11003-33-3000000000000000000000000
χ444-4-44-2002-2200-44-22-22000-221-1-1100-33-33000000000000000000000000
χ456666-366-3-3-3-3-3-2-20000-200110000000000221-2-2111100000000-100-1000
χ466666-366-3-3-3-3-3-2-20000-200110000000000-2-2122-1-1-1-1000000001001000
χ476666-3-6-6-3-3-333-2-200002001100000000002-2-12-211-1-100000000-1001000
χ486666-3-6-6-3-3-333-2-20000200110000000000-22-1-22-1-11100000000100-1000
χ496-6-66600-66-6002-20000000-220000000000000000000002-2-22000000000
χ506-6-66600-66-6002-20000000-22000000000000000000000-222-2000000000
χ5188-8-8800-8-8800002-2-22000002-22-2000000000000000000000000000000
χ5288-8-8-40044-400002-2-2200000-11-11003i−3i−3i3i000000000000000000000000
χ5388-8-8-40044-400002-2-2200000-11-1100−3i3i3i−3i000000000000000000000000
χ5488-8-8-40044-40000-444-4000002-22-2000000000000000000000000000000
χ558-88-8-48i−8i-444−4i4i0022-2-200000-1-1112i−2i−i−iii000000000000000000000000
χ568-88-8-4−8i8i-4444i−4i0022-2-200000-1-111−2i2iii−i−i000000000000000000000000
χ5712-12-1212-6006-66004-400000002-20000000000000000000000000000000000

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