Finite Group Databasebeta

← Group #11899660

Character table — Group #11899660

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size112222244444444488888888888899181818181824242424242424243636363636363636364848484848484848
order1224488336666812126121212242424242424242444224882222444481616161616161616666612121212
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111-1-11-1-1-1-1-1-1-1-111-1-111-1-1
χ311111111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-111-1-111
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ511111-1-1111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-111111-1-1-1-1111-1-1-11-1
χ611111-1-1111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-111-1-1-1-1111111-11-1-1-11
χ711111-1-1111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111-11-1-1-1-11111-1-11-1111-1
χ811111-1-1111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1111111-1-1-1-1-1-1-1111-11
χ911-1-111111-1-111-1-1-1-1-1111111-1-1-1-1111-1-1111-11-11-1-11-111-1-111-1-11-11-11-1-11
χ1011-1-111111-1-111-1-1-1-1-1111111-1-1-1-1111-1-1111-1-111-11-1-1-1-111-1-1111-1-111-11-1
χ1111-1-111111-1-111-1-1-1-1-1111111-1-1-1-1111-1-111-111-1-11-11-1-1-111-1-111-111-1-11-11
χ1211-1-111111-1-111-1-1-1-1-1111111-1-1-1-1111-1-111-11-11-111-1-111-1-111-1-1-11-11-111-1
χ1311-1-11-1-111-1-1111-1-1-1-111-1-1-1-11111-1-1-111111-111-11-1-1-111-1-1-1-1111-111-11-1-1
χ1411-1-11-1-111-1-1111-1-1-1-111-1-1-1-11111-1-1-111111-1-1-1-1111-1-1-11111-1-11-1-1-1-1111
χ1511-1-11-1-111-1-1111-1-1-1-111-1-1-1-11111-1-1-11111-11111-1-1-1-1-1-11111-1-1-11111-1-1-1
χ1611-1-11-1-111-1-1111-1-1-1-111-1-1-1-11111-1-1-11111-11-1-11-111-111-1-1-1-111-11-1-11-111
χ172222222222222222222222222222-2-2-2-2-2-2-200000000-20000000000000000
χ1822222-2-2222222-2222222-2-2-2-2-2-2-2-222222-2-200000000-20000000000000000
χ19222-2-2002222220-2-22-2-2-20000000022-2-22000000000002−22−22−22−200000000
χ20222-2-2002222220-2-22-2-2-20000000022-2-2200000000000−22−22−22−2200000000
χ21222-2-2002222220-2-22-2-2-200000000-2-222-2000000000002−22−2−22−2200000000
χ22222-2-2002222220-2-22-2-2-200000000-2-222-200000000000−22−222−22−200000000
χ2322-22-20022-2-222022-22-2-20000000022-22-2000000000002−2−222−2−2200000000
χ2422-22-20022-2-222022-22-2-20000000022-22-200000000000−222−2−222−200000000
χ2522-22-20022-2-222022-22-2-200000000-2-22-22000000000002−2−22−222−200000000
χ2622-22-20022-2-222022-22-2-200000000-2-22-2200000000000−222−22−2−2200000000
χ2722-2-222222-2-222-2-2-2-2-2222222-2-2-2-2-2-2-222-2-20000000020000000000000000
χ2822-2-22-2-222-2-2222-2-2-2-222-2-2-2-22222222-2-2-2-20000000020000000000000000
χ2944444441-2111-24-2-2-211-211-2-211-2-2000000022002200000000000-1-100-1-100
χ3044444441-2111-24-2-2-211-211-2-211-2-20000000-2-200-2-20000000000011001100
χ314444444-21-2-2-214111-2-21-2-211-2-21100000000022002200000000000-1-100-1-1
χ324444444-21-2-2-214111-2-21-2-211-2-211000000000-2-200-2-200000000000110011
χ3344444-4-41-2111-2-4-2-2-211-2-1-122-1-12200000002200-2-200000000000-1-1001100
χ3444444-4-41-2111-2-4-2-2-211-2-1-122-1-1220000000-2-20022000000000001100-1-100
χ3544444-4-4-21-2-2-21-4111-2-2122-1-122-1-10000000002-2002-200000000000-1100-11
χ3644444-4-4-21-2-2-21-4111-2-2122-1-122-1-1000000000-2200-22000000000001-1001-1
χ3744-4-44441-2-1-11-2-4222-11-211-2-2-1-12200000002-2002-200000000000-1100-1100
χ3844-4-44441-2-1-11-2-4222-11-211-2-2-1-1220000000-2200-22000000000001-1001-100
χ3944-4-4444-2122-21-4-1-1-12-21-2-21122-1-10000000002-200-2200000000000-11001-1
χ4044-4-4444-2122-21-4-1-1-12-21-2-21122-1-1000000000-22002-2000000000001-100-11
χ4144-4-44-4-41-2-1-11-24222-11-2-1-12211-2-200000002-200-2200000000000-11001-100
χ4244-4-44-4-41-2-1-11-24222-11-2-1-12211-2-20000000-22002-2000000000001-100-1100
χ4344-4-44-4-4-2122-214-1-1-12-2122-1-1-2-2110000000002200-2-200000000000-1-10011
χ4444-4-44-4-4-2122-214-1-1-12-2122-1-1-2-211000000000-2-20022000000000001100-1-1
χ454-40002i2−2i24400-4-400000002i2−2i22i2−2i200004i−4i00022−220000000000000000000000000
χ464-40002i2−2i24400-4-400000002i2−2i22i2−2i20000−4i4i000−22220000000000000000000000000
χ474-4000−2i22i24400-4-40000000−2i22i2−2i22i200004i−4i000−22220000000000000000000000000
χ484-4000−2i22i24400-4-40000000−2i22i2−2i22i20000−4i4i00022−220000000000000000000000000
χ49888-8-8002-4222-4044-4-2-240000000000000000000000000000000000000000
χ50888-8-800-42-4-4-420-2-2244-20000000000000000000000000000000000000000
χ5188-88-8002-4-2-22-40-4-442-240000000000000000000000000000000000000000
χ5288-88-800-4244-42022-2-44-20000000000000000000000000000000000000000
χ538-80004i2−4i22-46-6-240000000i2−i2−2i22i23i2−3i20000000000000000000000000000000000
χ548-80004i2−4i22-4-66-240000000i2−i2−2i22i2−3i23i20000000000000000000000000000000000
χ558-80004i2−4i2-42004-206i−6i0000−2i22i2i2−i20032−3200000000000000000000000000000000
χ568-80004i2−4i2-42004-20−6i6i0000−2i22i2i2−i200−323200000000000000000000000000000000
χ578-8000−4i24i22-46-6-240000000−i2i22i2−2i2−3i23i20000000000000000000000000000000000
χ588-8000−4i24i22-4-66-240000000−i2i22i2−2i23i2−3i20000000000000000000000000000000000
χ598-8000−4i24i2-42004-206i−6i00002i2−2i2−i2i200−323200000000000000000000000000000000
χ608-8000−4i24i2-42004-20−6i6i00002i2−2i2−i2i20032−3200000000000000000000000000000000

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