Finite Group Databasebeta

← Group #11865459

Character table — Group #11865459

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11114444444448888121212121818181824242424242424242424363636361111444444444888812121212181818182424242424242424242436363636
order122233466666612121212224444442266666612128888222266466666612121212224444442266666612128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-1-1-111-1-1-1-11111111111111111111111111-1-111-1-1-1-111-1-1-1-1
χ311111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1
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
χ5111111-1111111-1-1-1-111-1-11-1-111-11111-1-1-1-111-1-1111111-1111111-1-1-1-111-1-11-1-111-11111-1-1-1-111-1-1
χ6111111-1111111-1-1-1-111-1-11-1-11-1111-1-111-1-1-1-111111111-1111111-1-1-1-111-1-11-1-11-1111-1-111-1-1-1-111
χ7111111-1111111-1-1-1-1-1-1111-1-111-1-1-111-1-111-1-111111111-1111111-1-1-1-1-1-1111-1-111-1-1-111-1-111-1-111
χ8111111-1111111-1-1-1-1-1-1111-1-11-11-1-1-1-1111111-1-1111111-1111111-1-1-1-1-1-1111-1-11-11-1-1-1-1111111-1-1
χ9222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000
χ10222222-2222222-2-2-2-20000-222-200000000000000222222-2222222-2-2-2-20000-222-200000000000000
χ112-22-222022-2-2-2-20000002i−2i200-2000000002i−2i00002-22-222022-2-2-2-20000002i−2i200-2000000002i−2i0000
χ122-22-222022-2-2-2-2000000−2i2i200-200000000−2i2i00002-22-222022-2-2-2-2000000−2i2i200-200000000−2i2i0000
χ132-22-222022-2-2-2-200002-200-2002002-200000000002-22-222022-2-2-2-200002-200-2002002-20000000000
χ142-22-222022-2-2-2-20000-2200-200200-2200000000002-22-222022-2-2-2-20000-2200-200200-220000000000
χ152-2-22220-2-22-2-220000000002-2000000000002−22−22-2-22220-2-22-2-220000000002-2000000000002−22−2
χ162-2-22220-2-22-2-220000000002-200000000000−22−222-2-22220-2-22-2-220000000002-200000000000−22−22
χ172-2-22220-2-22-2-22000000000-22000000000002−2−222-2-22220-2-22-2-22000000000-22000000000002−2−22
χ182-2-22220-2-22-2-22000000000-2200000000000−222−22-2-22220-2-22-2-22000000000-2200000000000−222−2
χ1944441-241-2-21-2111-2-22222000000-1-10000-1-1000044441-241-2-21-2111-2-22222000000-1-10000-1-10000
χ2044441-241-2-21-2111-2-2-2-2-2-200000011000011000044441-241-2-21-2111-2-2-2-2-2-2000000110000110000
χ2144441-2-41-2-21-21-1-12222-2-2000000-1-1000011000044441-2-41-2-21-21-1-12222-2-2000000-1-10000110000
χ2244441-2-41-2-21-21-1-122-2-222000000110000-1-1000044441-2-41-2-21-21-1-122-2-222000000110000-1-10000
χ234444-214-211-21-2-2-211000000002200-1-1-1-10000004444-214-211-21-2-2-211000000002200-1-1-1-1000000
χ244444-214-211-21-2-2-21100000000-2-20011110000004444-214-211-21-2-2-21100000000-2-2001111000000
χ254444-21-4-211-21-222-1-1000000002-200-1-1110000004444-21-4-211-21-222-1-1000000002-200-1-111000000
χ264444-21-4-211-21-222-1-100000000-220011-1-10000004444-21-4-211-21-222-1-100000000-220011-1-1000000
χ2744-4-4440-4-4-444-40000000000000000000000000044-4-4440-4-4-444-400000000000000000000000000
χ2844-4-4-2102-1-1-212003-3000000000000−i3i3−i3i300000044-4-4-2102-1-1-212003-3000000000000−i3i3−i3i3000000
χ2944-4-4-2102-1-1-212003-3000000000000i3−i3i3−i300000044-4-4-2102-1-1-212003-3000000000000i3−i3i3−i3000000
χ3044-4-4-2102-1-1-21200-33000000000000−i3i3i3−i300000044-4-4-2102-1-1-21200-33000000000000−i3i3i3−i3000000
χ3144-4-4-2102-1-1-21200-33000000000000i3−i3−i3i300000044-4-4-2102-1-1-21200-33000000000000i3−i3−i3i3000000
χ324-44-41-201-22-12-13i−3i002-22i−2i000000-110000−ii00004-44-41-201-22-12-13i−3i002-22i−2i000000-110000−ii0000
χ334-44-41-201-22-12-13i−3i00-22−2i2i0000001-10000i−i00004-44-41-201-22-12-13i−3i00-22−2i2i0000001-10000i−i0000
χ344-44-41-201-22-12-1−3i3i002-2−2i2i000000-110000i−i00004-44-41-201-22-12-1−3i3i002-2−2i2i000000-110000i−i0000
χ354-44-41-201-22-12-1−3i3i00-222i−2i0000001-10000−ii00004-44-41-201-22-12-1−3i3i00-222i−2i0000001-10000−ii0000
χ3688-8-82-40-2442-4-20000000000000000000000000088-8-82-40-2442-4-200000000000000000000000000
χ378-88-8-420-42-24-24000000000000000000000000008-88-8-420-42-24-2400000000000000000000000000
χ388-8-882-40-24-4-242000000000000000000000000008-8-882-40-24-4-24200000000000000000000000000
χ398-8-88-4204-224-2-4000000000000000000000000008-8-88-4204-224-2-400000000000000000000000000
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
χ411111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111
χ4211111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111
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
χ44111111-1111111-1-1-1-111-1-11-1-111-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-111-1-11-1-1-1-11111-1-111
χ45111111-1111111-1-1-1-111-1-11-1-11-1111-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-111-11-1-1-111-1-11111-1-1
χ46111111-1111111-1-1-1-1-1-1111-1-111-1-1-111-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-111-1-1111-1-111-1-111-1-1
χ47111111-1111111-1-1-1-1-1-1111-1-11-11-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-111-11-11111-1-1-1-1-1-111
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
χ502-22-222022-2-2-2-20000002i−2i200-2000000002i−2i0000-22-22-2-20-2-22222000000−2i2i-200200000000−2i2i0000
χ512-22-222022-2-2-2-2000000−2i2i200-200000000−2i2i0000-22-22-2-20-2-222220000002i−2i-2002000000002i−2i0000
χ522-22-222022-2-2-2-200002-200-2002002-20000000000-22-22-2-20-2-222220000-2200200-200-220000000000
χ532-22-222022-2-2-2-20000-2200-200200-220000000000-22-22-2-20-2-2222200002-200200-2002-20000000000
χ542-2-22220-2-22-2-220000000002-2000000000002−22−2-222-2-2-2022-222-2000000000-2200000000000−22−22
χ552-2-22220-2-22-2-220000000002-200000000000−22−22-222-2-2-2022-222-2000000000-22000000000002−22−2
χ562-2-22220-2-22-2-22000000000-22000000000002−2−22-222-2-2-2022-222-20000000002-200000000000−222−2
χ572-2-22220-2-22-2-22000000000-2200000000000−222−2-222-2-2-2022-222-20000000002-2000000000002−2−22
χ5844441-241-2-21-2111-2-22222000000-1-10000-1-10000-4-4-4-4-12-4-122-12-1-1-122-2-2-2-2000000110000110000
χ5944441-241-2-21-2111-2-2-2-2-2-2000000110000110000-4-4-4-4-12-4-122-12-1-1-1222222000000-1-10000-1-10000
χ6044441-2-41-2-21-21-1-12222-2-2000000-1-10000110000-4-4-4-4-124-122-12-111-2-2-2-222000000110000-1-10000
χ6144441-2-41-2-21-21-1-122-2-222000000110000-1-10000-4-4-4-4-124-122-12-111-2-222-2-2000000-1-10000110000
χ624444-214-211-21-2-2-211000000002200-1-1-1-1000000-4-4-4-42-1-42-1-12-1222-1-100000000-2-2001111000000
χ634444-214-211-21-2-2-21100000000-2-2001111000000-4-4-4-42-1-42-1-12-1222-1-1000000002200-1-1-1-1000000
χ644444-21-4-211-21-222-1-1000000002-200-1-111000000-4-4-4-42-142-1-12-12-2-21100000000-220011-1-1000000
χ654444-21-4-211-21-222-1-100000000-220011-1-1000000-4-4-4-42-142-1-12-12-2-211000000002-200-1-111000000
χ6644-4-4440-4-4-444-400000000000000000000000000-4-444-4-40444-4-4400000000000000000000000000
χ6744-4-4-2102-1-1-212003-3000000000000−i3i3−i3i3000000-4-4442-10-2112-1-200-33000000000000i3−i3i3−i3000000
χ6844-4-4-2102-1-1-212003-3000000000000i3−i3i3−i3000000-4-4442-10-2112-1-200-33000000000000−i3i3−i3i3000000
χ6944-4-4-2102-1-1-21200-33000000000000−i3i3i3−i3000000-4-4442-10-2112-1-2003-3000000000000i3−i3−i3i3000000
χ7044-4-4-2102-1-1-21200-33000000000000i3−i3−i3i3000000-4-4442-10-2112-1-2003-3000000000000−i3i3i3−i3000000
χ714-44-41-201-22-12-13i−3i002-22i−2i000000-110000−ii0000-44-44-120-12-21-21−3i3i00-22−2i2i0000001-10000i−i0000
χ724-44-41-201-22-12-13i−3i00-22−2i2i0000001-10000i−i0000-44-44-120-12-21-21−3i3i002-22i−2i000000-110000−ii0000
χ734-44-41-201-22-12-1−3i3i002-2−2i2i000000-110000i−i0000-44-44-120-12-21-213i−3i00-222i−2i0000001-10000−ii0000
χ744-44-41-201-22-12-1−3i3i00-222i−2i0000001-10000−ii0000-44-44-120-12-21-213i−3i002-2−2i2i000000-110000i−i0000
χ7588-8-82-40-2442-4-200000000000000000000000000-8-888-2402-4-4-24200000000000000000000000000
χ768-88-8-420-42-24-2400000000000000000000000000-88-884-204-22-42-400000000000000000000000000
χ778-8-882-40-24-4-24200000000000000000000000000-888-8-2402-442-4-200000000000000000000000000
χ788-8-88-4204-224-2-400000000000000000000000000-888-84-20-42-2-42400000000000000000000000000

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