Finite Group Databasebeta

← Group #11868420

Character table — Group #11868420

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11114444444448888121212121818181824242424242424242424363636361111444444444888812121212181818182424242424242424242436363636
order122233466666612121212444444444412121212121212128888222266466666612121212444444444412121212121212128888
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
χ5111111-1111111-1-1-1-111-1-11-1-111-1-1-11111-1-111-1-1111111-1111111-1-1-1-111-1-11-1-111-1-1-11111-1-111-1-1
χ6111111-1111111-1-1-1-111-1-11-1-11-11-1-111-1-111-1-111111111-1111111-1-1-1-111-1-11-1-11-11-1-111-1-111-1-111
χ7111111-1111111-1-1-1-1-1-1111-1-111-111-1-111-1-1-1-111111111-1111111-1-1-1-1-1-1111-1-111-111-1-111-1-1-1-111
χ8111111-1111111-1-1-1-1-1-1111-1-11-1111-1-1-1-11111-1-1111111-1111111-1-1-1-1-1-1111-1-11-1111-1-1-1-11111-1-1
χ9222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000
χ10222222-2222222-2-2-2-20000-222-200000000000000222222-2222222-2-2-2-20000-222-200000000000000
χ112-22-22202-2-22-2-20000002-2200-2002-200000000002-22-22202-2-22-2-20000002-2200-2002-20000000000
χ122-22-22202-2-22-2-2000000-22200-200-2200000000002-22-22202-2-22-2-2000000-22200-200-220000000000
χ132-22-22202-2-22-2-200002i−2i00-200200002i−2i000000002-22-22202-2-22-2-200002i−2i00-200200002i−2i00000000
χ142-22-22202-2-22-2-20000−2i2i00-20020000−2i2i000000002-22-22202-2-22-2-20000−2i2i00-20020000−2i2i00000000
χ152-2-22220-22-2-2-220000000002-200000000000−i2i2−i2i22-2-22220-22-2-2-220000000002-200000000000−i2i2−i2i2
χ162-2-22220-22-2-2-220000000002-200000000000i2−i2i2−i22-2-22220-22-2-2-220000000002-200000000000i2−i2i2−i2
χ172-2-22220-22-2-2-22000000000-2200000000000−i2i2i2−i22-2-22220-22-2-2-22000000000-2200000000000−i2i2i2−i2
χ182-2-22220-22-2-2-22000000000-2200000000000i2−i2−i2i22-2-22220-22-2-2-22000000000-2200000000000i2−i2−i2i2
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
χ254444-21-4-21-211-222-1-122-2-200000011-1-1000000004444-21-4-21-211-222-1-122-2-200000011-1-100000000
χ264444-21-4-21-211-222-1-1-2-222000000-1-111000000004444-21-4-21-211-222-1-1-2-222000000-1-11100000000
χ2744-4-41-20-1212-2-13-300000000000000003−33−3000044-4-41-20-1212-2-13-300000000000000003−33−30000
χ2844-4-41-20-1212-2-13-30000000000000000−33−33000044-4-41-20-1212-2-13-30000000000000000−33−330000
χ2944-4-41-20-1212-2-1-3300000000000000003−3−33000044-4-41-20-1212-2-1-3300000000000000003−3−330000
χ3044-4-41-20-1212-2-1-330000000000000000−333−3000044-4-41-20-1212-2-1-330000000000000000−333−30000
χ3144-4-4440-4-44-44-40000000000000000000000000044-4-4440-4-44-44-400000000000000000000000000
χ324-44-4-210-2-121-12003i−3i2i−2i2-2000000-11−ii000000004-44-4-210-2-121-12003i−3i2i−2i2-2000000-11−ii00000000
χ334-44-4-210-2-121-12003i−3i−2i2i-220000001-1i−i000000004-44-4-210-2-121-12003i−3i−2i2i-220000001-1i−i00000000
χ344-44-4-210-2-121-1200−3i3i2i−2i-220000001-1−ii000000004-44-4-210-2-121-1200−3i3i2i−2i-220000001-1−ii00000000
χ354-44-4-210-2-121-1200−3i3i−2i2i2-2000000-11i−i000000004-44-4-210-2-121-1200−3i3i−2i2i2-2000000-11i−i00000000
χ3688-8-8-4204-2-4-2240000000000000000000000000088-8-8-4204-2-4-22400000000000000000000000000
χ378-88-82-4024-2-44-2000000000000000000000000008-88-82-4024-2-44-200000000000000000000000000
χ388-8-882-40-2-4-2442000000000000000000000000008-8-882-40-2-4-244200000000000000000000000000
χ398-8-88-420424-2-2-4000000000000000000000000008-8-88-420424-2-2-400000000000000000000000000
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
χ44111111-1111111-1-1-1-111-1-11-1-111-1-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-111-1-1111-1-1-1-111-1-111
χ45111111-1111111-1-1-1-111-1-11-1-11-11-1-111-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-111-11-111-1-111-1-111-1-1
χ46111111-1111111-1-1-1-1-1-1111-1-111-111-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-111-1-11-1-111-1-11111-1-1
χ47111111-1111111-1-1-1-1-1-1111-1-11-1111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-111-11-1-1-11111-1-1-1-111
χ48222222222222222220000-2-2-2-200000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000
χ49222222-2222222-2-2-2-20000-222-200000000000000-2-2-2-2-2-22-2-2-2-2-2-2222200002-2-2200000000000000
χ502-22-22202-2-22-2-20000002-2200-2002-20000000000-22-22-2-20-222-222000000-22-200200-220000000000
χ512-22-22202-2-22-2-2000000-22200-200-220000000000-22-22-2-20-222-2220000002-2-2002002-20000000000
χ522-22-22202-2-22-2-200002i−2i00-200200002i−2i00000000-22-22-2-20-222-2220000−2i2i00200-20000−2i2i00000000
χ532-22-22202-2-22-2-20000−2i2i00-20020000−2i2i00000000-22-22-2-20-222-22200002i−2i00200-200002i−2i00000000
χ542-2-22220-22-2-2-220000000002-200000000000−i2i2−i2i2-222-2-2-202-2222-2000000000-2200000000000i2−i2i2−i2
χ552-2-22220-22-2-2-220000000002-200000000000i2−i2i2−i2-222-2-2-202-2222-2000000000-2200000000000−i2i2−i2i2
χ562-2-22220-22-2-2-22000000000-2200000000000−i2i2i2−i2-222-2-2-202-2222-20000000002-200000000000i2−i2−i2i2
χ572-2-22220-22-2-2-22000000000-2200000000000i2−i2−i2i2-222-2-2-202-2222-20000000002-200000000000−i2i2i2−i2
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
χ644444-21-4-21-211-222-1-122-2-200000011-1-100000000-4-4-4-42-142-12-1-12-2-211-2-222000000-1-11100000000
χ654444-21-4-21-211-222-1-1-2-222000000-1-11100000000-4-4-4-42-142-12-1-12-2-21122-2-200000011-1-100000000
χ6644-4-41-20-1212-2-13-300000000000000003−33−30000-4-444-1201-2-1-221-330000000000000000−33−330000
χ6744-4-41-20-1212-2-13-30000000000000000−33−330000-4-444-1201-2-1-221-3300000000000000003−33−30000
χ6844-4-41-20-1212-2-1-3300000000000000003−3−330000-4-444-1201-2-1-2213-30000000000000000−333−30000
χ6944-4-41-20-1212-2-1-330000000000000000−333−30000-4-444-1201-2-1-2213-300000000000000003−3−330000
χ7044-4-4440-4-44-44-400000000000000000000000000-4-444-4-4044-44-4400000000000000000000000000
χ714-44-4-210-2-121-12003i−3i2i−2i2-2000000-11−ii00000000-44-442-1021-2-11-200−3i3i−2i2i-220000001-1i−i00000000
χ724-44-4-210-2-121-12003i−3i−2i2i-220000001-1i−i00000000-44-442-1021-2-11-200−3i3i2i−2i2-2000000-11−ii00000000
χ734-44-4-210-2-121-1200−3i3i2i−2i-220000001-1−ii00000000-44-442-1021-2-11-2003i−3i−2i2i2-2000000-11i−i00000000
χ744-44-4-210-2-121-1200−3i3i−2i2i2-2000000-11i−i00000000-44-442-1021-2-11-2003i−3i2i−2i-220000001-1−ii00000000
χ7588-8-8-4204-2-4-22400000000000000000000000000-8-8884-20-4242-2-400000000000000000000000000
χ768-88-82-4024-2-44-200000000000000000000000000-88-88-240-2-424-4200000000000000000000000000
χ778-8-882-40-2-4-244200000000000000000000000000-888-8-240242-4-4-200000000000000000000000000
χ788-8-88-420424-2-2-400000000000000000000000000-888-84-20-4-2-422400000000000000000000000000

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