Finite Group Databasebeta

← Group #11808366

Character table — Group #11808366

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11114888888889999363636363636363636363636361111488888888999936363636363636363636363636
order12224366612121212222244444444444442222466661212121222224444444444444
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111
χ51111-11111-1-1-1-11111-111-1-111-1-111-1-11111-11111-1-1-1-11111-111-1-111-1-111-1-1
χ61111-11111-1-1-1-11111-111-1-1-1-111-1-1111111-11111-1-1-1-11111-111-1-1-1-111-1-111
χ71111-11111-1-1-1-11111-1-1-11111-1-1-1-1111111-11111-1-1-1-11111-1-1-11111-1-1-1-111
χ81111-11111-1-1-1-11111-1-1-111-1-11111-1-11111-11111-1-1-1-11111-1-1-111-1-11111-1-1
χ92222222222222-2-2-2-2-20000000000002222222222222-2-2-2-2-2000000000000
χ102222-22222-2-2-2-2-2-2-2-220000000000002222-22222-2-2-2-2-2-2-2-22000000000000
χ1122-2-2022-2-2000022-2-202-2000000000022-2-2022-2-2000022-2-202-20000000000
χ1222-2-2022-2-2000022-2-20-22000000000022-2-2022-2-2000022-2-20-220000000000
χ1322-2-2022-2-20000-2-2220002-20000000022-2-2022-2-20000-2-2220002-200000000
χ1422-2-2022-2-20000-2-222000-220000000022-2-2022-2-20000-2-222000-2200000000
χ152-22-202-22-200002-2-22000002i−2i0000002-22-202-22-200002-2-22000002i−2i000000
χ162-22-202-22-200002-2-2200000−2i2i0000002-22-202-22-200002-2-2200000−2i2i000000
χ172-22-202-22-20000-222-200000002i−2i00002-22-202-22-20000-222-200000002i−2i0000
χ182-22-202-22-20000-222-20000000−2i2i00002-22-202-22-20000-222-20000000−2i2i0000
χ192-2-2202-2-2200002-22-20000000002i−2i002-2-2202-2-2200002-22-20000000002i−2i00
χ202-2-2202-2-2200002-22-2000000000−2i2i002-2-2202-2-2200002-22-2000000000−2i2i00
χ212-2-2202-2-220000-22-22000000000002-22-2-2202-2-220000-22-22000000000002-2
χ222-2-2202-2-220000-22-2200000000000-222-2-2202-2-220000-22-2200000000000-22
χ2388888-1-1-1-1-1-1-1-10000000000000000088888-1-1-1-1-1-1-1-100000000000000000
χ248888-8-1-1-1-11111000000000000000008888-8-1-1-1-1111100000000000000000
χ2588-8-80-1-1113i3i−3i−3i0000000000000000088-8-80-1-1113i3i−3i−3i00000000000000000
χ2688-8-80-1-111−3i−3i3i3i0000000000000000088-8-80-1-111−3i−3i3i3i00000000000000000
χ278-88-80-11-113i−3i3i−3i000000000000000008-88-80-11-113i−3i3i−3i00000000000000000
χ288-88-80-11-11−3i3i−3i3i000000000000000008-88-80-11-11−3i3i−3i3i00000000000000000
χ298-8-880-111-13-3-33000000000000000008-8-880-111-13-3-3300000000000000000
χ308-8-880-111-1-333-3000000000000000008-8-880-111-1-333-300000000000000000
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ321111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ33111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ34111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ351111-11111-1-1-1-11111-111-1-111-1-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-111-1-111-1-111
χ361111-11111-1-1-1-11111-111-1-1-1-111-1-111-1-1-1-11-1-1-1-11111-1-1-1-11-1-11111-1-111-1-1
χ371111-11111-1-1-1-11111-1-1-11111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1
χ381111-11111-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-1-111-1-1-1-111
χ392222222222222-2-2-2-2-2000000000000-2-2-2-2-2-2-2-2-2-2-2-2-222222000000000000
χ402222-22222-2-2-2-2-2-2-2-22000000000000-2-2-2-22-2-2-2-222222222-2000000000000
χ4122-2-2022-2-2000022-2-202-20000000000-2-2220-2-2220000-2-2220-220000000000
χ4222-2-2022-2-2000022-2-20-220000000000-2-2220-2-2220000-2-22202-20000000000
χ4322-2-2022-2-20000-2-2220002-200000000-2-2220-2-222000022-2-2000-2200000000
χ4422-2-2022-2-20000-2-222000-2200000000-2-2220-2-222000022-2-20002-200000000
χ452-22-202-22-200002-2-22000002i−2i000000-22-220-22-220000-222-200000−2i2i000000
χ462-22-202-22-200002-2-2200000−2i2i000000-22-220-22-220000-222-2000002i−2i000000
χ472-22-202-22-20000-222-200000002i−2i0000-22-220-22-2200002-2-220000000−2i2i0000
χ482-22-202-22-20000-222-20000000−2i2i0000-22-220-22-2200002-2-2200000002i−2i0000
χ492-2-2202-2-2200002-22-20000000002i−2i00-222-20-222-20000-22-22000000000−2i2i00
χ502-2-2202-2-2200002-22-2000000000−2i2i00-222-20-222-20000-22-220000000002i−2i00
χ512-2-2202-2-220000-22-22000000000002-2-222-20-222-200002-22-200000000000-22
χ522-2-2202-2-220000-22-2200000000000-22-222-20-222-200002-22-2000000000002-2
χ5388888-1-1-1-1-1-1-1-100000000000000000-8-8-8-8-81111111100000000000000000
χ548888-8-1-1-1-1111100000000000000000-8-8-8-881111-1-1-1-100000000000000000
χ5588-8-80-1-1113i3i−3i−3i00000000000000000-8-888011-1-1−3i−3i3i3i00000000000000000
χ5688-8-80-1-111−3i−3i3i3i00000000000000000-8-888011-1-13i3i−3i−3i00000000000000000
χ578-88-80-11-113i−3i3i−3i00000000000000000-88-8801-11-1−3i3i−3i3i00000000000000000
χ588-88-80-11-11−3i3i−3i3i00000000000000000-88-8801-11-13i−3i3i−3i00000000000000000
χ598-8-880-111-13-3-3300000000000000000-888-801-1-11-333-300000000000000000
χ608-8-880-111-1-333-300000000000000000-888-801-1-113-3-3300000000000000000

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