Finite Group Databasebeta

← Group #11869406

Character table — Group #11869406

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11114444444448888121212121818181824242424242424242424363636361111444444444888812121212181818182424242424242424242436363636
order122233466666612121212444422444412121212121212128888222266466666612121212444422444412121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
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
χ6111111-1111111-1-1-1-111-1-1-1-111-11-1-11111-1-1-1-111111111-1111111-1-1-1-111-1-1-1-111-11-1-11111-1-1-1-111
χ7111111-1111111-1-1-1-1-1-111-1-1111-111-1-1-1-111-1-111111111-1111111-1-1-1-1-1-111-1-1111-111-1-1-1-111-1-111
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
χ112-22-22202-2-2-2-22000000002-2000000000000−i2i2−i2i22-22-22202-2-2-2-22000000002-2000000000000−i2i2−i2i2
χ122-22-22202-2-2-2-22000000002-2000000000000i2−i2i2−i22-22-22202-2-2-2-22000000002-2000000000000i2−i2i2−i2
χ132-22-22202-2-2-2-2200000000-22000000000000−i2i2i2−i22-22-22202-2-2-2-2200000000-22000000000000−i2i2i2−i2
χ142-22-22202-2-2-2-2200000000-22000000000000i2−i2−i2i22-22-22202-2-2-2-2200000000-22000000000000i2−i2−i2i2
χ152-2-22220-2-22-22-20000002i−2i002-2000000002i−2i00002-2-22220-2-22-22-20000002i−2i002-2000000002i−2i0000
χ162-2-22220-2-22-22-2000000−2i2i002-200000000−2i2i00002-2-22220-2-22-22-2000000−2i2i002-200000000−2i2i0000
χ172-2-22220-2-22-22-200002i−2i0000-220000002i−2i0000002-2-22220-2-22-22-200002i−2i0000-220000002i−2i000000
χ182-2-22220-2-22-22-20000−2i2i0000-22000000−2i2i0000002-2-22220-2-22-22-20000−2i2i0000-22000000−2i2i000000
χ1944441-241-2-211-2-2-2110000000022-1-1-1-10000000044441-241-2-211-2-2-2110000000022-1-1-1-100000000
χ2044441-241-2-211-2-2-21100000000-2-211110000000044441-241-2-211-2-2-21100000000-2-2111100000000
χ2144441-2-41-2-211-222-1-1000000002-2-1-1110000000044441-2-41-2-211-222-1-1000000002-2-1-11100000000
χ2244441-2-41-2-211-222-1-100000000-2211-1-10000000044441-2-41-2-211-222-1-100000000-2211-1-100000000
χ234444-214-211-2-2111-2-222220000000000-1-1-1-100004444-214-211-2-2111-2-222220000000000-1-1-1-10000
χ244444-214-211-2-2111-2-2-2-2-2-20000000000111100004444-214-211-2-2111-2-2-2-2-2-2000000000011110000
χ254444-21-4-211-2-21-1-12222-2-20000000000-1-11100004444-21-4-211-2-21-1-12222-2-20000000000-1-1110000
χ264444-21-4-211-2-21-1-122-2-222000000000011-1-100004444-21-4-211-2-21-1-122-2-222000000000011-1-10000
χ2744-4-41-20-1-221-12003i−3i0000000000−i3i33−30000000044-4-41-20-1-221-12003i−3i0000000000−i3i33−300000000
χ2844-4-41-20-1-221-12003i−3i0000000000i3−i3−330000000044-4-41-20-1-221-12003i−3i0000000000i3−i3−3300000000
χ2944-4-41-20-1-221-1200−3i3i0000000000−i3i3−330000000044-4-41-20-1-221-1200−3i3i0000000000−i3i3−3300000000
χ3044-4-41-20-1-221-1200−3i3i0000000000i3−i33−30000000044-4-41-20-1-221-1200−3i3i0000000000i3−i33−300000000
χ3144-4-4440-44-44-4-40000000000000000000000000044-4-4440-44-44-4-400000000000000000000000000
χ324-4-44-2102-112-2-13-3002i−2i2i−2i0000000000−ii−ii00004-4-44-2102-112-2-13-3002i−2i2i−2i0000000000−ii−ii0000
χ334-4-44-2102-112-2-13-300−2i2i−2i2i0000000000i−ii−i00004-4-44-2102-112-2-13-300−2i2i−2i2i0000000000i−ii−i0000
χ344-4-44-2102-112-2-1-33002i−2i−2i2i0000000000−iii−i00004-4-44-2102-112-2-1-33002i−2i−2i2i0000000000−iii−i0000
χ354-4-44-2102-112-2-1-3300−2i2i2i−2i0000000000i−i−ii00004-4-44-2102-112-2-1-3300−2i2i2i−2i0000000000i−i−ii0000
χ3688-8-8-42042-2-44-20000000000000000000000000088-8-8-42042-2-44-200000000000000000000000000
χ378-88-82-40244-2-2-4000000000000000000000000008-88-82-40244-2-2-400000000000000000000000000
χ388-88-8-420-4-2-2442000000000000000000000000008-88-8-420-4-2-244200000000000000000000000000
χ398-8-882-40-24-4-224000000000000000000000000008-8-882-40-24-4-22400000000000000000000000000
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
χ411111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ4211111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111
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
χ45111111-1111111-1-1-1-111-1-1-1-111-11-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-11-111-1-1-1-11111-1-1
χ46111111-1111111-1-1-1-1-1-111-1-1111-111-1-1-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1-11-1-11111-1-111-1-1
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
χ502-22-22202-2-2-2-22000000002-2000000000000−i2i2−i2i2-22-22-2-20-22222-200000000-22000000000000i2−i2i2−i2
χ512-22-22202-2-2-2-22000000002-2000000000000i2−i2i2−i2-22-22-2-20-22222-200000000-22000000000000−i2i2−i2i2
χ522-22-22202-2-2-2-2200000000-22000000000000−i2i2i2−i2-22-22-2-20-22222-2000000002-2000000000000i2−i2−i2i2
χ532-22-22202-2-2-2-2200000000-22000000000000i2−i2−i2i2-22-22-2-20-22222-2000000002-2000000000000−i2i2i2−i2
χ542-2-22220-2-22-22-20000002i−2i002-2000000002i−2i0000-222-2-2-2022-22-22000000−2i2i00-2200000000−2i2i0000
χ552-2-22220-2-22-22-2000000−2i2i002-200000000−2i2i0000-222-2-2-2022-22-220000002i−2i00-22000000002i−2i0000
χ562-2-22220-2-22-22-200002i−2i0000-220000002i−2i000000-222-2-2-2022-22-220000−2i2i00002-2000000−2i2i000000
χ572-2-22220-2-22-22-20000−2i2i0000-22000000−2i2i000000-222-2-2-2022-22-2200002i−2i00002-20000002i−2i000000
χ5844441-241-2-211-2-2-2110000000022-1-1-1-100000000-4-4-4-4-12-4-122-1-1222-1-100000000-2-2111100000000
χ5944441-241-2-211-2-2-21100000000-2-2111100000000-4-4-4-4-12-4-122-1-1222-1-10000000022-1-1-1-100000000
χ6044441-2-41-2-211-222-1-1000000002-2-1-11100000000-4-4-4-4-124-122-1-12-2-21100000000-2211-1-100000000
χ6144441-2-41-2-211-222-1-100000000-2211-1-100000000-4-4-4-4-124-122-1-12-2-211000000002-2-1-11100000000
χ624444-214-211-2-2111-2-222220000000000-1-1-1-10000-4-4-4-42-1-42-1-122-1-1-122-2-2-2-2000000000011110000
χ634444-214-211-2-2111-2-2-2-2-2-2000000000011110000-4-4-4-42-1-42-1-122-1-1-12222220000000000-1-1-1-10000
χ644444-21-4-211-2-21-1-12222-2-20000000000-1-1110000-4-4-4-42-142-1-122-111-2-2-2-222000000000011-1-10000
χ654444-21-4-211-2-21-1-122-2-222000000000011-1-10000-4-4-4-42-142-1-122-111-2-222-2-20000000000-1-1110000
χ6644-4-41-20-1-221-12003i−3i0000000000−i3i33−300000000-4-444-12012-2-11-200−3i3i0000000000i3−i3−3300000000
χ6744-4-41-20-1-221-12003i−3i0000000000i3−i3−3300000000-4-444-12012-2-11-200−3i3i0000000000−i3i33−300000000
χ6844-4-41-20-1-221-1200−3i3i0000000000−i3i3−3300000000-4-444-12012-2-11-2003i−3i0000000000i3−i33−300000000
χ6944-4-41-20-1-221-1200−3i3i0000000000i3−i33−300000000-4-444-12012-2-11-2003i−3i0000000000−i3i3−3300000000
χ7044-4-4440-44-44-4-400000000000000000000000000-4-444-4-404-44-44400000000000000000000000000
χ714-4-44-2102-112-2-13-3002i−2i2i−2i0000000000−ii−ii0000-444-42-10-21-1-221-3300−2i2i−2i2i0000000000i−ii−i0000
χ724-4-44-2102-112-2-13-300−2i2i−2i2i0000000000i−ii−i0000-444-42-10-21-1-221-33002i−2i2i−2i0000000000−ii−ii0000
χ734-4-44-2102-112-2-1-33002i−2i−2i2i0000000000−iii−i0000-444-42-10-21-1-2213-300−2i2i2i−2i0000000000i−i−ii0000
χ744-4-44-2102-112-2-1-3300−2i2i2i−2i0000000000i−i−ii0000-444-42-10-21-1-2213-3002i−2i−2i2i0000000000−iii−i0000
χ7588-8-8-42042-2-44-200000000000000000000000000-8-8884-20-4-224-4200000000000000000000000000
χ768-88-82-40244-2-2-400000000000000000000000000-88-88-240-2-4-422400000000000000000000000000
χ778-88-8-420-4-2-244200000000000000000000000000-88-884-20422-4-4-200000000000000000000000000
χ788-8-882-40-24-4-22400000000000000000000000000-888-8-2402-442-2-400000000000000000000000000

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