Finite Group Databasebeta

← Group #11874896

Character table — Group #11874896

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122444444448888181818181818181818181818242424242424242424242424111122444444448888181818181818181818181818242424242424242424242424
order122244336666661212121244448888888844441212121212121212222244666666661212121244448888888844441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ51111-1-111111111-1-1-1-1-1-1111111-1-1-1-11-11-111-1-111-1-11111-1-111111111-1-1-1-1-1-1111111-1-1-1-11-11-111-1-111-1-1
χ61111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-111-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-111-1-111
χ71111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-1
χ81111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-111-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-111-1-1-1-111
χ9222222222222222222-2-2-2-200000000000000000000222222222222222222-2-2-2-200000000000000000000
χ102222-2-222222222-2-2-2-222-2-2000000000000000000002222-2-222222222-2-2-2-222-2-200000000000000000000
χ1122-2-2002222-2-2-2-20000002-2000022-2-200000000000022-2-2002222-2-2-2-20000002-2000022-2-2000000000000
χ1222-2-2002222-2-2-2-20000002-20000-2-22200000000000022-2-2002222-2-2-2-20000002-20000-2-222000000000000
χ1322-2-2002222-2-2-2-2000000-2222-2-2000000000000000022-2-2002222-2-2-2-2000000-2222-2-20000000000000000
χ1422-2-2002222-2-2-2-2000000-22-2-222000000000000000022-2-2002222-2-2-2-2000000-22-2-2220000000000000000
χ152-22-22-222-2-2-22-222-22-20000−i2i2−i2i2−i2i2−i2i20000000000002-22-22-222-2-2-22-222-22-20000−i2i2−i2i2−i2i2−i2i2000000000000
χ162-22-22-222-2-2-22-222-22-20000i2−i2i2−i2i2−i2i2−i20000000000002-22-22-222-2-2-22-222-22-20000i2−i2i2−i2i2−i2i2−i2000000000000
χ172-22-2-2222-2-2-22-22-22-220000−i2i2−i2i2i2−i2i2−i20000000000002-22-2-2222-2-2-22-22-22-220000−i2i2−i2i2i2−i2i2−i2000000000000
χ182-22-2-2222-2-2-22-22-22-220000i2−i2i2−i2−i2i2−i2i20000000000002-22-2-2222-2-2-22-22-22-220000i2−i2i2−i2−i2i2−i2i2000000000000
χ192-2-220022-2-22-22-200002-200−i2i2i2−i2−i2i2i2−i20000000000002-2-220022-2-22-22-200002-200−i2i2i2−i2−i2i2i2−i2000000000000
χ202-2-220022-2-22-22-200002-200i2−i2−i2i2i2−i2−i2i20000000000002-2-220022-2-22-22-200002-200i2−i2−i2i2i2−i2−i2i2000000000000
χ212-2-220022-2-22-22-20000-2200−i2i2i2−i2i2−i2−i2i20000000000002-2-220022-2-22-22-20000-2200−i2i2i2−i2i2−i2−i2i2000000000000
χ222-2-220022-2-22-22-20000-2200i2−i2−i2i2−i2i2i2−i20000000000002-2-220022-2-22-22-20000-2200i2−i2−i2i2−i2i2i2−i2000000000000
χ234444441-21-21-2-21-2-21100000000000022000000-1-1-1-14444441-21-21-2-21-2-21100000000000022000000-1-1-1-1
χ244444441-21-21-2-21-2-211000000000000-2-200000011114444441-21-21-2-21-2-211000000000000-2-20000001111
χ25444444-21-21-211-211-2-20000000000000022-1-1-1-10000444444-21-21-211-211-2-20000000000000022-1-1-1-10000
χ26444444-21-21-211-211-2-200000000000000-2-211110000444444-21-21-211-211-2-200000000000000-2-211110000
χ274444-4-41-21-21-2-2122-1-10000000000002-2000000-1-1114444-4-41-21-21-2-2122-1-10000000000002-2000000-1-111
χ284444-4-41-21-21-2-2122-1-1000000000000-2200000011-1-14444-4-41-21-21-2-2122-1-1000000000000-2200000011-1-1
χ294444-4-4-21-21-211-2-1-122000000000000002-2-1-11100004444-4-4-21-21-211-2-1-122000000000000002-2-1-1110000
χ304444-4-4-21-21-211-2-1-12200000000000000-2211-1-100004444-4-4-21-21-211-2-1-12200000000000000-2211-1-10000
χ314-44-44-41-2-12-1-221-221-100000000000000000000−i3i3−i3i34-44-44-41-2-12-1-221-221-100000000000000000000−i3i3−i3i3
χ324-44-44-41-2-12-1-221-221-100000000000000000000i3−i3i3−i34-44-44-41-2-12-1-221-221-100000000000000000000i3−i3i3−i3
χ334-44-44-4-212-121-1-21-1-2200000000000000003−33−300004-44-44-4-212-121-1-21-1-2200000000000000003−33−30000
χ344-44-44-4-212-121-1-21-1-220000000000000000−33−3300004-44-44-4-212-121-1-21-1-220000000000000000−33−330000
χ354-44-4-441-2-12-1-2212-2-1100000000000000000000−i3i3i3−i34-44-4-441-2-12-1-2212-2-1100000000000000000000−i3i3i3−i3
χ364-44-4-441-2-12-1-2212-2-1100000000000000000000i3−i3−i3i34-44-4-441-2-12-1-2212-2-1100000000000000000000i3−i3−i3i3
χ374-44-4-44-212-121-1-2-112-200000000000000003−3−3300004-44-4-44-212-121-1-2-112-200000000000000003−3−330000
χ384-44-4-44-212-121-1-2-112-20000000000000000−333−300004-44-4-44-212-121-1-2-112-20000000000000000−333−30000
χ3988-8-8002-42-4-244-2000000000000000000000000000088-8-8002-42-4-244-20000000000000000000000000000
χ4088-8-800-42-424-2-24000000000000000000000000000088-8-800-42-424-2-240000000000000000000000000000
χ418-8-88002-4-2424-4-200000000000000000000000000008-8-88002-4-2424-4-20000000000000000000000000000
χ428-8-8800-424-2-4-22400000000000000000000000000008-8-8800-424-2-4-2240000000000000000000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ44111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ451111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1
χ461111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111
χ471111-1-111111111-1-1-1-1-1-1111111-1-1-1-11-11-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-11-1-111-1-111
χ481111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-11-111-1-111-1-1
χ491111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-111-1-1-1-111
χ501111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-11-1-11111-1-1
χ51222222222222222222-2-2-2-200000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ522222-2-222222222-2-2-2-222-2-200000000000000000000-2-2-2-222-2-2-2-2-2-2-2-22222-2-22200000000000000000000
χ5322-2-2002222-2-2-2-20000002-2000022-2-2000000000000-2-22200-2-2-2-22222000000-220000-2-222000000000000
χ5422-2-2002222-2-2-2-20000002-20000-2-222000000000000-2-22200-2-2-2-22222000000-22000022-2-2000000000000
χ5522-2-2002222-2-2-2-2000000-2222-2-20000000000000000-2-22200-2-2-2-222220000002-2-2-2220000000000000000
χ5622-2-2002222-2-2-2-2000000-22-2-2220000000000000000-2-22200-2-2-2-222220000002-222-2-20000000000000000
χ572-22-22-222-2-2-22-222-22-20000−i2i2−i2i2−i2i2−i2i2000000000000-22-22-22-2-2222-22-2-22-220000i2−i2i2−i2i2−i2i2−i2000000000000
χ582-22-22-222-2-2-22-222-22-20000i2−i2i2−i2i2−i2i2−i2000000000000-22-22-22-2-2222-22-2-22-220000−i2i2−i2i2−i2i2−i2i2000000000000
χ592-22-2-2222-2-2-22-22-22-220000−i2i2−i2i2i2−i2i2−i2000000000000-22-222-2-2-2222-22-22-22-20000i2−i2i2−i2−i2i2−i2i2000000000000
χ602-22-2-2222-2-2-22-22-22-220000i2−i2i2−i2−i2i2−i2i2000000000000-22-222-2-2-2222-22-22-22-20000−i2i2−i2i2i2−i2i2−i2000000000000
χ612-2-220022-2-22-22-200002-200−i2i2i2−i2−i2i2i2−i2000000000000-222-200-2-222-22-220000-2200i2−i2−i2i2i2−i2−i2i2000000000000
χ622-2-220022-2-22-22-200002-200i2−i2−i2i2i2−i2−i2i2000000000000-222-200-2-222-22-220000-2200−i2i2i2−i2−i2i2i2−i2000000000000
χ632-2-220022-2-22-22-20000-2200−i2i2i2−i2i2−i2−i2i2000000000000-222-200-2-222-22-2200002-200i2−i2−i2i2−i2i2i2−i2000000000000
χ642-2-220022-2-22-22-20000-2200i2−i2−i2i2−i2i2i2−i2000000000000-222-200-2-222-22-2200002-200−i2i2i2−i2i2−i2−i2i2000000000000
χ654444441-21-21-2-21-2-21100000000000022000000-1-1-1-1-4-4-4-4-4-4-12-12-122-122-1-1000000000000-2-20000001111
χ664444441-21-21-2-21-2-211000000000000-2-20000001111-4-4-4-4-4-4-12-12-122-122-1-100000000000022000000-1-1-1-1
χ67444444-21-21-211-211-2-20000000000000022-1-1-1-10000-4-4-4-4-4-42-12-12-1-12-1-12200000000000000-2-211110000
χ68444444-21-21-211-211-2-200000000000000-2-211110000-4-4-4-4-4-42-12-12-1-12-1-1220000000000000022-1-1-1-10000
χ694444-4-41-21-21-2-2122-1-10000000000002-2000000-1-111-4-4-4-444-12-12-122-1-2-211000000000000-2200000011-1-1
χ704444-4-41-21-21-2-2122-1-1000000000000-2200000011-1-1-4-4-4-444-12-12-122-1-2-2110000000000002-2000000-1-111
χ714444-4-4-21-21-211-2-1-122000000000000002-2-1-1110000-4-4-4-4442-12-12-1-1211-2-200000000000000-2211-1-10000
χ724444-4-4-21-21-211-2-1-12200000000000000-2211-1-10000-4-4-4-4442-12-12-1-1211-2-2000000000000002-2-1-1110000
χ734-44-44-41-2-12-1-221-221-100000000000000000000−i3i3−i3i3-44-44-44-121-212-2-12-2-1100000000000000000000i3−i3i3−i3
χ744-44-44-41-2-12-1-221-221-100000000000000000000i3−i3i3−i3-44-44-44-121-212-2-12-2-1100000000000000000000−i3i3−i3i3
χ754-44-44-4-212-121-1-21-1-2200000000000000003−33−30000-44-44-442-1-21-2-112-112-20000000000000000−33−330000
χ764-44-44-4-212-121-1-21-1-220000000000000000−33−330000-44-44-442-1-21-2-112-112-200000000000000003−33−30000
χ774-44-4-441-2-12-1-2212-2-1100000000000000000000−i3i3i3−i3-44-444-4-121-212-2-1-221-100000000000000000000i3−i3−i3i3
χ784-44-4-441-2-12-1-2212-2-1100000000000000000000i3−i3−i3i3-44-444-4-121-212-2-1-221-100000000000000000000−i3i3i3−i3
χ794-44-4-44-212-121-1-2-112-200000000000000003−3−330000-44-444-42-1-21-2-1121-1-220000000000000000−333−30000
χ804-44-4-44-212-121-1-2-112-20000000000000000−333−30000-44-444-42-1-21-2-1121-1-2200000000000000003−3−330000
χ8188-8-8002-42-4-244-20000000000000000000000000000-8-88800-24-242-4-420000000000000000000000000000
χ8288-8-800-42-424-2-240000000000000000000000000000-8-888004-24-2-422-40000000000000000000000000000
χ838-8-88002-4-2424-4-20000000000000000000000000000-888-800-242-4-2-4420000000000000000000000000000
χ848-8-8800-424-2-4-2240000000000000000000000000000-888-8004-2-4242-2-40000000000000000000000000000

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