Finite Group Databasebeta

← Group #11808129

Character table — Group #11808129

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11114888888889999363636363636363636363636361111488888888999936363636363636363636363636
order122223666666622222444444444444222226666666622222444444444444
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1
χ3111111111111111111-1-111-1-1-1-111-1-1111111111111111111-1-111-1-1-1-111-1-1
χ4111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111
χ51111-11111-1-1-1-11111-11111-1-1-1-1-1-1111111-11111-1-1-1-11111-11111-1-1-1-1-1-111
χ61111-11111-1-1-1-11111-111-1-111-1-111-1-11111-11111-1-1-1-11111-111-1-111-1-111-1-1
χ71111-11111-1-1-1-11111-1-1-1111111-1-1-1-11111-11111-1-1-1-11111-1-1-1111111-1-1-1-1
χ81111-11111-1-1-1-11111-1-1-1-1-1-1-11111111111-11111-1-1-1-11111-1-1-1-1-1-1-1111111
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
χ1122-2-2022-2-2000022-2-2000002i−2i00000022-2-2022-2-2000022-2-2000002i−2i000000
χ1222-2-2022-2-2000022-2-200000−2i2i00000022-2-2022-2-2000022-2-200000−2i2i000000
χ1322-2-2022-2-20000-2-222000000000002-222-2-2022-2-20000-2-222000000000002-2
χ1422-2-2022-2-20000-2-22200000000000-2222-2-2022-2-20000-2-22200000000000-22
χ152-22-202-22-200002-22-20002i−2i000000002-22-202-22-200002-22-20002i−2i00000000
χ162-22-202-22-200002-22-2000−2i2i000000002-22-202-22-200002-22-2000−2i2i00000000
χ172-22-202-22-20000-22-220000000002-2002-22-202-22-20000-22-220000000002-200
χ182-22-202-22-20000-22-22000000000-22002-22-202-22-20000-22-22000000000-2200
χ192-2-2202-2-2200002-2-2200000002-200002-2-2202-2-2200002-2-2200000002-20000
χ202-2-2202-2-2200002-2-220000000-2200002-2-2202-2-2200002-2-220000000-220000
χ212-2-2202-2-220000-222-202i−2i00000000002-2-2202-2-220000-222-202i−2i0000000000
χ222-2-2202-2-220000-222-20−2i2i00000000002-2-2202-2-220000-222-20−2i2i0000000000
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
χ2588-8-80-1-11133-3-30000000000000000088-8-80-1-11133-3-300000000000000000
χ2688-8-80-1-111-3-3330000000000000000088-8-80-1-111-3-33300000000000000000
χ278-88-80-11-113-33-3000000000000000008-88-80-11-113-33-300000000000000000
χ288-88-80-11-11-33-33000000000000000008-88-80-11-11-33-3300000000000000000
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
χ3211111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ33111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ34111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ351111-11111-1-1-1-11111-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11-1-1-1-1111111-1-1
χ361111-11111-1-1-1-11111-111-1-111-1-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-111-1-111-1-111
χ371111-11111-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-1-1-11111
χ381111-11111-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1
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
χ4122-2-2022-2-2000022-2-2000002i−2i000000-2-2220-2-2220000-2-22200000−2i2i000000
χ4222-2-2022-2-2000022-2-200000−2i2i000000-2-2220-2-2220000-2-222000002i−2i000000
χ4322-2-2022-2-20000-2-222000000000002-2-2-2220-2-222000022-2-200000000000-22
χ4422-2-2022-2-20000-2-22200000000000-22-2-2220-2-222000022-2-2000000000002-2
χ452-22-202-22-200002-22-20002i−2i00000000-22-220-22-220000-22-22000−2i2i00000000
χ462-22-202-22-200002-22-2000−2i2i00000000-22-220-22-220000-22-220002i−2i00000000
χ472-22-202-22-20000-22-220000000002-200-22-220-22-2200002-22-2000000000-2200
χ482-22-202-22-20000-22-22000000000-2200-22-220-22-2200002-22-20000000002-200
χ492-2-2202-2-2200002-2-2200000002-20000-222-20-222-20000-222-20000000-220000
χ502-2-2202-2-2200002-2-220000000-220000-222-20-222-20000-222-200000002-20000
χ512-2-2202-2-220000-222-202i−2i0000000000-222-20-222-200002-2-220−2i2i0000000000
χ522-2-2202-2-220000-222-20−2i2i0000000000-222-20-222-200002-2-2202i−2i0000000000
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
χ5588-8-80-1-11133-3-300000000000000000-8-888011-1-1-3-33300000000000000000
χ5688-8-80-1-111-3-33300000000000000000-8-888011-1-133-3-300000000000000000
χ578-88-80-11-113-33-300000000000000000-88-8801-11-1-33-3300000000000000000
χ588-88-80-11-11-33-3300000000000000000-88-8801-11-13-33-300000000000000000
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).