Finite Group Databasebeta

← Group #11865504

Character table — Group #11865504

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11114444444448888121212121818181824242424242424242424363636361111444444444888812121212181818182424242424242424242436363636
order12223346666661212121222444444446612121212121288882222664666666121212122244444444661212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ5111111-1111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-1111111-1111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-1
χ6111111-1111111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-111111111-1111111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-111
χ7111111-1111111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-111111111-1111111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-111
χ8111111-1111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1111111-1111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1
χ9222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000
χ10222222-2222222-2-2-2-2000022-2-200000000000000222222-2222222-2-2-2-2000022-2-200000000000000
χ112-22-22202-2-2-22-2000000002-2000000000000−i2i2−i2i22-22-22202-2-2-22-2000000002-2000000000000−i2i2−i2i2
χ122-22-22202-2-2-22-2000000002-2000000000000i2−i2i2−i22-22-22202-2-2-22-2000000002-2000000000000i2−i2i2−i2
χ132-22-22202-2-2-22-200000000-22000000000000−i2i2i2−i22-22-22202-2-2-22-200000000-22000000000000−i2i2i2−i2
χ142-22-22202-2-2-22-200000000-22000000000000i2−i2−i2i22-22-22202-2-2-22-200000000-22000000000000i2−i2−i2i2
χ152-2-22220-22-2-2-220000002i−2i002-200002i−2i000000002-2-22220-22-2-2-220000002i−2i002-200002i−2i00000000
χ162-2-22220-22-2-2-22000000−2i2i002-20000−2i2i000000002-2-22220-22-2-2-22000000−2i2i002-20000−2i2i00000000
χ172-2-22220-22-2-2-2200002-20000-22002-200000000002-2-22220-22-2-2-2200002-20000-22002-20000000000
χ182-2-22220-22-2-2-220000-220000-2200-2200000000002-2-22220-22-2-2-220000-220000-2200-220000000000
χ1944441-241-21-2-2111-2-200000000220000-1-1-1-1000044441-241-21-2-2111-2-200000000220000-1-1-1-10000
χ2044441-241-21-2-2111-2-200000000-2-200001111000044441-241-21-2-2111-2-200000000-2-2000011110000
χ2144441-2-41-21-2-21-1-122000000002-20000-1-111000044441-2-41-21-2-21-1-122000000002-20000-1-1110000
χ2244441-2-41-21-2-21-1-12200000000-22000011-1-1000044441-2-41-21-2-21-1-12200000000-22000011-1-10000
χ234444-214-21-211-2-2-2112222000000-1-1-1-1000000004444-214-21-211-2-2-2112222000000-1-1-1-100000000
χ244444-214-21-211-2-2-211-2-2-2-20000001111000000004444-214-21-211-2-2-211-2-2-2-2000000111100000000
χ254444-21-4-21-211-222-1-122-2-2000000-1-111000000004444-21-4-21-211-222-1-122-2-2000000-1-11100000000
χ264444-21-4-21-211-222-1-1-2-22200000011-1-1000000004444-21-4-21-211-222-1-1-2-22200000011-1-100000000
χ2744-4-41-20-121-22-13-300000000000000003−33−3000044-4-41-20-121-22-13-300000000000000003−33−30000
χ2844-4-41-20-121-22-13-30000000000000000−33−33000044-4-41-20-121-22-13-30000000000000000−33−330000
χ2944-4-41-20-121-22-1-3300000000000000003−3−33000044-4-41-20-121-22-1-3300000000000000003−3−330000
χ3044-4-41-20-121-22-1-330000000000000000−333−3000044-4-41-20-121-22-1-330000000000000000−333−30000
χ3144-4-4440-4-444-4-40000000000000000000000000044-4-4440-4-444-4-400000000000000000000000000
χ324-4-44-210212-1-1-2003i−3i2-22i−2i000000-11−ii000000004-4-44-210212-1-1-2003i−3i2-22i−2i000000-11−ii00000000
χ334-4-44-210212-1-1-2003i−3i-22−2i2i0000001-1i−i000000004-4-44-210212-1-1-2003i−3i-22−2i2i0000001-1i−i00000000
χ344-4-44-210212-1-1-200−3i3i2-2−2i2i000000-11i−i000000004-4-44-210212-1-1-200−3i3i2-2−2i2i000000-11i−i00000000
χ354-4-44-210212-1-1-200−3i3i-222i−2i0000001-1−ii000000004-4-44-210212-1-1-200−3i3i-222i−2i0000001-1−ii00000000
χ3688-8-8-4204-2-42-240000000000000000000000000088-8-8-4204-2-42-2400000000000000000000000000
χ378-88-82-4024-24-4-2000000000000000000000000008-88-82-4024-24-4-200000000000000000000000000
χ388-88-8-420-4-24-224000000000000000000000000008-88-8-420-4-24-22400000000000000000000000000
χ398-8-882-40-2-4-2442000000000000000000000000008-8-882-40-2-4-244200000000000000000000000000
χ40111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ4211111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ4311111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ44111111-1111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-11-1-111-1-111-1-111
χ45111111-1111111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-11-1-1-11111-1-111-1-1
χ46111111-1111111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1-1111-1-1-1-11111-1-1
χ47111111-1111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-11-111-1-111-1-1-1-111
χ48222222222222222220000-2-2-2-200000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000
χ49222222-2222222-2-2-2-2000022-2-200000000000000-2-2-2-2-2-22-2-2-2-2-2-222220000-2-22200000000000000
χ502-22-22202-2-2-22-2000000002-2000000000000−i2i2−i2i2-22-22-2-20-2222-2200000000-22000000000000i2−i2i2−i2
χ512-22-22202-2-2-22-2000000002-2000000000000i2−i2i2−i2-22-22-2-20-2222-2200000000-22000000000000−i2i2−i2i2
χ522-22-22202-2-2-22-200000000-22000000000000−i2i2i2−i2-22-22-2-20-2222-22000000002-2000000000000i2−i2−i2i2
χ532-22-22202-2-2-22-200000000-22000000000000i2−i2−i2i2-22-22-2-20-2222-22000000002-2000000000000−i2i2i2−i2
χ542-2-22220-22-2-2-220000002i−2i002-200002i−2i00000000-222-2-2-202-2222-2000000−2i2i00-220000−2i2i00000000
χ552-2-22220-22-2-2-22000000−2i2i002-20000−2i2i00000000-222-2-2-202-2222-20000002i−2i00-2200002i−2i00000000
χ562-2-22220-22-2-2-2200002-20000-22002-20000000000-222-2-2-202-2222-20000-2200002-200-220000000000
χ572-2-22220-22-2-2-220000-220000-2200-220000000000-222-2-2-202-2222-200002-200002-2002-20000000000
χ5844441-241-21-2-2111-2-200000000220000-1-1-1-10000-4-4-4-4-12-4-12-122-1-1-12200000000-2-2000011110000
χ5944441-241-21-2-2111-2-200000000-2-2000011110000-4-4-4-4-12-4-12-122-1-1-12200000000220000-1-1-1-10000
χ6044441-2-41-21-2-21-1-122000000002-20000-1-1110000-4-4-4-4-124-12-122-111-2-200000000-22000011-1-10000
χ6144441-2-41-21-2-21-1-12200000000-22000011-1-10000-4-4-4-4-124-12-122-111-2-2000000002-20000-1-1110000
χ624444-214-21-211-2-2-2112222000000-1-1-1-100000000-4-4-4-42-1-42-12-1-1222-1-1-2-2-2-2000000111100000000
χ634444-214-21-211-2-2-211-2-2-2-2000000111100000000-4-4-4-42-1-42-12-1-1222-1-12222000000-1-1-1-100000000
χ644444-21-4-21-211-222-1-122-2-2000000-1-11100000000-4-4-4-42-142-12-1-12-2-211-2-22200000011-1-100000000
χ654444-21-4-21-211-222-1-1-2-22200000011-1-100000000-4-4-4-42-142-12-1-12-2-21122-2-2000000-1-11100000000
χ6644-4-41-20-121-22-13-300000000000000003−33−30000-4-444-1201-2-12-21-330000000000000000−33−330000
χ6744-4-41-20-121-22-13-30000000000000000−33−330000-4-444-1201-2-12-21-3300000000000000003−33−30000
χ6844-4-41-20-121-22-1-3300000000000000003−3−330000-4-444-1201-2-12-213-30000000000000000−333−30000
χ6944-4-41-20-121-22-1-330000000000000000−333−30000-4-444-1201-2-12-213-300000000000000003−3−330000
χ7044-4-4440-4-444-4-400000000000000000000000000-4-444-4-4044-4-44400000000000000000000000000
χ714-4-44-210212-1-1-2003i−3i2-22i−2i000000-11−ii00000000-444-42-10-2-1-211200−3i3i-22−2i2i0000001-1i−i00000000
χ724-4-44-210212-1-1-2003i−3i-22−2i2i0000001-1i−i00000000-444-42-10-2-1-211200−3i3i2-22i−2i000000-11−ii00000000
χ734-4-44-210212-1-1-200−3i3i2-2−2i2i000000-11i−i00000000-444-42-10-2-1-2112003i−3i-222i−2i0000001-1−ii00000000
χ744-4-44-210212-1-1-200−3i3i-222i−2i0000001-1−ii00000000-444-42-10-2-1-2112003i−3i2-2−2i2i000000-11i−i00000000
χ7588-8-8-4204-2-42-2400000000000000000000000000-8-8884-20-424-22-400000000000000000000000000
χ768-88-82-4024-24-4-200000000000000000000000000-88-88-240-2-42-44200000000000000000000000000
χ778-88-8-420-4-24-22400000000000000000000000000-88-884-2042-42-2-400000000000000000000000000
χ788-8-882-40-2-4-244200000000000000000000000000-888-8-240242-4-4-200000000000000000000000000

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