Finite Group Databasebeta

← Group #11865613

Character table — Group #11865613

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11114444444448888121212121818181824242424242424242424363636361111444444444888812121212181818182424242424242424242436363636
order1222334666666121212124444444422666612121212888822226646666661212121244444444226666121212128888
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
χ5111111-1111111-1-1-1-111-1-1-1-1111-111-1-1-1-11111-1-1111111-1111111-1-1-1-111-1-1-1-1111-111-1-1-1-11111-1-1
χ6111111-1111111-1-1-1-111-1-1-1-111-11-1-111-1-111-1-111111111-1111111-1-1-1-111-1-1-1-111-11-1-111-1-111-1-111
χ7111111-1111111-1-1-1-1-1-111-1-1111-111-1-111-1-1-1-111111111-1111111-1-1-1-1-1-111-1-1111-111-1-111-1-1-1-111
χ8111111-1111111-1-1-1-1-1-111-1-111-11-1-11111-1-111-1-1111111-1111111-1-1-1-1-1-111-1-111-11-1-11111-1-111-1-1
χ9222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000
χ10222222-2222222-2-2-2-2000022-2-200000000000000222222-2222222-2-2-2-2000022-2-200000000000000
χ112-22-222022-2-2-2-2000000002-2000000000000−i2i2−i2i22-22-222022-2-2-2-2000000002-2000000000000−i2i2−i2i2
χ122-22-222022-2-2-2-2000000002-2000000000000i2−i2i2−i22-22-222022-2-2-2-2000000002-2000000000000i2−i2i2−i2
χ132-22-222022-2-2-2-200000000-22000000000000−i2i2i2−i22-22-222022-2-2-2-200000000-22000000000000−i2i2i2−i2
χ142-22-222022-2-2-2-200000000-22000000000000i2−i2−i2i22-22-222022-2-2-2-200000000-22000000000000i2−i2−i2i2
χ152-2-22220-2-22-22-20000002-200-220000002-20000002-2-22220-2-22-22-20000002-200-220000002-2000000
χ162-2-22220-2-22-22-2000000-2200-22000000-220000002-2-22220-2-22-22-2000000-2200-22000000-22000000
χ172-2-22220-2-22-22-200002i−2i00002-2000000002i−2i00002-2-22220-2-22-22-200002i−2i00002-2000000002i−2i0000
χ182-2-22220-2-22-22-20000−2i2i00002-200000000−2i2i00002-2-22220-2-22-22-20000−2i2i00002-200000000−2i2i0000
χ1944441-241-2-2-211-2-21122220000000000-1-1-1-1000044441-241-2-2-211-2-21122220000000000-1-1-1-10000
χ2044441-241-2-2-211-2-211-2-2-2-200000000001111000044441-241-2-2-211-2-211-2-2-2-2000000000011110000
χ2144441-2-41-2-2-21122-1-122-2-2000000000011-1-1000044441-2-41-2-2-21122-1-122-2-2000000000011-1-10000
χ2244441-2-41-2-2-21122-1-1-2-2220000000000-1-111000044441-2-41-2-2-21122-1-1-2-2220000000000-1-1110000
χ234444-214-2111-2-211-2-20000000022-1-1-1-1000000004444-214-2111-2-211-2-20000000022-1-1-1-100000000
χ244444-214-2111-2-211-2-200000000-2-21111000000004444-214-2111-2-211-2-200000000-2-2111100000000
χ254444-21-4-2111-2-2-1-122000000002-2-1-111000000004444-21-4-2111-2-2-1-122000000002-2-1-11100000000
χ264444-21-4-2111-2-2-1-12200000000-2211-1-1000000004444-21-4-2111-2-2-1-12200000000-2211-1-100000000
χ2744-4-4440-4-4-44-440000000000000000000000000044-4-4440-4-4-44-4400000000000000000000000000
χ2844-4-4-2102-1-112-23-3000000000000−i3i3−i3i30000000044-4-4-2102-1-112-23-3000000000000−i3i3−i3i300000000
χ2944-4-4-2102-1-112-23-3000000000000i3−i3i3−i30000000044-4-4-2102-1-112-23-3000000000000i3−i3i3−i300000000
χ3044-4-4-2102-1-112-2-33000000000000−i3i3i3−i30000000044-4-4-2102-1-112-2-33000000000000−i3i3i3−i300000000
χ3144-4-4-2102-1-112-2-33000000000000i3−i3−i3i30000000044-4-4-2102-1-112-2-33000000000000i3−i3−i3i300000000
χ324-4-441-20-12-221-1003i−3i2i−2i2-20000000000-11−ii00004-4-441-20-12-221-1003i−3i2i−2i2-20000000000-11−ii0000
χ334-4-441-20-12-221-1003i−3i−2i2i-2200000000001-1i−i00004-4-441-20-12-221-1003i−3i−2i2i-2200000000001-1i−i0000
χ344-4-441-20-12-221-100−3i3i2i−2i-2200000000001-1−ii00004-4-441-20-12-221-100−3i3i2i−2i-2200000000001-1−ii0000
χ354-4-441-20-12-221-100−3i3i−2i2i2-20000000000-11i−i00004-4-441-20-12-221-100−3i3i−2i2i2-20000000000-11i−i0000
χ3688-8-82-40-244-4-220000000000000000000000000088-8-82-40-244-4-2200000000000000000000000000
χ378-88-82-402-444-2-2000000000000000000000000008-88-82-402-444-2-200000000000000000000000000
χ388-88-8-420-42-2-244000000000000000000000000008-88-8-420-42-2-24400000000000000000000000000
χ398-8-88-4204-22-2-44000000000000000000000000008-8-88-4204-22-2-4400000000000000000000000000
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
χ44111111-1111111-1-1-1-111-1-1-1-1111-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-11-1-11111-1-1-1-111
χ45111111-1111111-1-1-1-111-1-1-1-111-11-1-111-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-11-111-1-111-1-111-1-1
χ46111111-1111111-1-1-1-1-1-111-1-1111-111-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1-11-1-111-1-11111-1-1
χ47111111-1111111-1-1-1-1-1-111-1-111-11-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-11-111-1-1-1-111-1-111
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
χ502-22-222022-2-2-2-2000000002-2000000000000−i2i2−i2i2-22-22-2-20-2-2222200000000-22000000000000i2−i2i2−i2
χ512-22-222022-2-2-2-2000000002-2000000000000i2−i2i2−i2-22-22-2-20-2-2222200000000-22000000000000−i2i2−i2i2
χ522-22-222022-2-2-2-200000000-22000000000000−i2i2i2−i2-22-22-2-20-2-22222000000002-2000000000000i2−i2−i2i2
χ532-22-222022-2-2-2-200000000-22000000000000i2−i2−i2i2-22-22-2-20-2-22222000000002-2000000000000−i2i2i2−i2
χ542-2-22220-2-22-22-20000002-200-220000002-2000000-222-2-2-2022-22-22000000-22002-2000000-22000000
χ552-2-22220-2-22-22-2000000-2200-22000000-22000000-222-2-2-2022-22-220000002-2002-20000002-2000000
χ562-2-22220-2-22-22-200002i−2i00002-2000000002i−2i0000-222-2-2-2022-22-220000−2i2i0000-2200000000−2i2i0000
χ572-2-22220-2-22-22-20000−2i2i00002-200000000−2i2i0000-222-2-2-2022-22-2200002i−2i0000-22000000002i−2i0000
χ5844441-241-2-2-211-2-21122220000000000-1-1-1-10000-4-4-4-4-12-4-1222-1-122-1-1-2-2-2-2000000000011110000
χ5944441-241-2-2-211-2-211-2-2-2-2000000000011110000-4-4-4-4-12-4-1222-1-122-1-122220000000000-1-1-1-10000
χ6044441-2-41-2-2-21122-1-122-2-2000000000011-1-10000-4-4-4-4-124-1222-1-1-2-211-2-2220000000000-1-1110000
χ6144441-2-41-2-2-21122-1-1-2-2220000000000-1-1110000-4-4-4-4-124-1222-1-1-2-21122-2-2000000000011-1-10000
χ624444-214-2111-2-211-2-20000000022-1-1-1-100000000-4-4-4-42-1-42-1-1-122-1-12200000000-2-2111100000000
χ634444-214-2111-2-211-2-200000000-2-2111100000000-4-4-4-42-1-42-1-1-122-1-1220000000022-1-1-1-100000000
χ644444-21-4-2111-2-2-1-122000000002-2-1-11100000000-4-4-4-42-142-1-1-12211-2-200000000-2211-1-100000000
χ654444-21-4-2111-2-2-1-12200000000-2211-1-100000000-4-4-4-42-142-1-1-12211-2-2000000002-2-1-11100000000
χ6644-4-4440-4-4-44-4400000000000000000000000000-4-444-4-40444-44-400000000000000000000000000
χ6744-4-4-2102-1-112-23-3000000000000−i3i3−i3i300000000-4-4442-10-211-1-22-33000000000000i3−i3i3−i300000000
χ6844-4-4-2102-1-112-23-3000000000000i3−i3i3−i300000000-4-4442-10-211-1-22-33000000000000−i3i3−i3i300000000
χ6944-4-4-2102-1-112-2-33000000000000−i3i3i3−i300000000-4-4442-10-211-1-223-3000000000000i3−i3−i3i300000000
χ7044-4-4-2102-1-112-2-33000000000000i3−i3−i3i300000000-4-4442-10-211-1-223-3000000000000−i3i3i3−i300000000
χ714-4-441-20-12-221-1003i−3i2i−2i2-20000000000-11−ii0000-444-4-1201-22-2-1100−3i3i−2i2i-2200000000001-1i−i0000
χ724-4-441-20-12-221-1003i−3i−2i2i-2200000000001-1i−i0000-444-4-1201-22-2-1100−3i3i2i−2i2-20000000000-11−ii0000
χ734-4-441-20-12-221-100−3i3i2i−2i-2200000000001-1−ii0000-444-4-1201-22-2-11003i−3i−2i2i2-20000000000-11i−i0000
χ744-4-441-20-12-221-100−3i3i−2i2i2-20000000000-11i−i0000-444-4-1201-22-2-11003i−3i2i−2i-2200000000001-1−ii0000
χ7588-8-82-40-244-4-2200000000000000000000000000-8-888-2402-4-442-200000000000000000000000000
χ768-88-82-402-444-2-200000000000000000000000000-88-88-240-24-4-42200000000000000000000000000
χ778-88-8-420-42-2-24400000000000000000000000000-88-884-204-222-4-400000000000000000000000000
χ788-8-88-4204-22-2-4400000000000000000000000000-888-84-20-42-224-400000000000000000000000000

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