Finite Group Databasebeta

← Group #11798589

Character table — Group #11798589

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size1124444444888888121212121616161624242424242424243636363648484848484848144144
order12223366664666121244446121212244412121212222446121212121248
χ1111111111111111111111111111111111111111111111
χ2111111111111111111111111-11-1111111111-1-1-111-1-1-1-1
χ31111111111111111-1-1-1-111111-11-1-1-1-1-11111111-1-111-1-1
χ41111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111
χ51111111111-1111-1-111-1-11-1-1-11-111-1-111-1-111-1111-1-1-11-1
χ61111111111-1111-1-111-1-11-1-1-1-1-1-11-1-111-1-1111-1-11-111-11
χ71111111111-1111-1-1-1-1111-1-1-1111-111-1-1-1-111-111-11-1-1-11
χ81111111111-1111-1-1-1-1111-1-1-1-11-1-111-1-1-1-1111-1-1-11111-1
χ922222222222222220000222200000000-2-2-2-2000000000
χ102222222222-2222-2-200002-2-2-20000000022-2-2000000000
χ11222-22222220-22-2000022-20000-200220000-220000-20000
χ12222-22222220-22-20000-2-2-20000200-2-20000-22000020000
χ13222-22222220-22-2002200-2000000-20022002-2000-200000
χ14222-22222220-22-200-2-200-2000000200-2-2002-2000200000
χ1544441-2-21114-2-2-211222211-2-20202-1-1-1-10000000-1-10000
χ1644441-2-21114-2-2-211-2-2-2-211-2-20-20-211110000000110000
χ1744441-2-2111-4-2-2-2-1-122-2-21-1220-20211-1-10000000-110000
χ1844441-2-2111-4-2-2-2-1-1-2-2221-122020-2-1-11100000001-10000
χ194444-211-2-2-24111-2-20000-2-2112020000000002-1-100-1-100
χ204444-211-2-2-24111-2-20000-2-211-20-2000000000-211001100
χ214444-211-2-2-2-4111220000-22-1-1202000000000-2-1-1001100
χ224444-211-2-2-2-4111220000-22-1-1-20-200000000021100-1-100
χ23444-41-2-211102-223322-2-2-1-300020-211-1-100000001-10000
χ24444-41-2-211102-2233-2-222-1-3000-202-1-1110000000-110000
χ25444-41-2-211102-22-3-32222-13000-20-2-1-1-1-10000000110000
χ26444-41-2-211102-22-3-3-2-2-2-2-1300020211110000000-1-10000
χ2744-40444-4-4400-40000000000020-200000000002-2000000
χ2844-40444-4-4400-400000000000-2020000000000-22000000
χ2944-40-21122-20-3-1323−230000003−320-20000000000-11003−300
χ3044-40-21122-20-3-1323−230000003−3-20200000000001-100−3300
χ3144-40-21122-20-3-13−2323000000−3320-20000000000-1100−3300
χ3244-40-21122-20-3-13−2323000000−33-20200000000001-1003−300
χ334-40044-400-40000002i−2i2i−2i000000002i−2i2i−2i2-200000000000
χ344-40044-400-40000002i−2i−2i2i00000000−2i2i2i−2i-2200000000000
χ354-40044-400-4000000−2i2i2i−2i000000002i−2i−2i2i-2200000000000
χ364-40044-400-4000000−2i2i−2i2i00000000−2i2i−2i2i2-200000000000
χ37888-8-422-4-4-40-22-20000004000000000000000000000000
χ3888-802-4-4-2-22004023−23000000−2323000000000000000000000
χ3988-802-4-4-2-220040−232300000023−23000000000000000000000
χ4088-80-42244-406-2-60000000000000000000000000000000
χ418-8002-446-6-20000004i−4i000000000000−2i2i0000000000000
χ428-8002-446-6-2000000−4i4i0000000000002i−2i0000000000000
χ438-8002-44-66-2000000004i−4i00000000−2i2i000000000000000
χ448-8002-44-66-200000000−4i4i000000002i−2i000000000000000
χ4516-1600-84-400800000000000000000000000000000000000

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