Finite Group Databasebeta

← Group #72261698

Character table — Group #72261698

Order 12288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1133333344661212121212121212121224242424242424242424323248484848484848484848484848969696969696969696969696969696969696192192192192192192192192192192192192192192192192384384384384384384512512512512512512512512
order122222222222222222444422444444444422222222444444444444444888888884444888888888888444488366612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1
χ5222222222222222222222222222222222222222222222222222222222000000000000000000000000000000-1-1-1-1-1-1-1-1
χ622222222222222222222222222222222-2-2-2-2-2-2-2-2-2-222222-2-222-2-2-2-222000000000000000000000000000000-1-1-1-11111
χ722222222-2-222-2-2-2-2-2-22222-2-222-2-2-2-2-2-2000000000022-22200220000-2-20000000000000000000000000000002-2-220000
χ822222222-2-222-2-2-2-2-2-22222-2-222-2-2-2-2-2-2000000000022-22200220000-2-2000000000000000000000000000000-111-1−i3−i3i3i3
χ922222222-2-222-2-2-2-2-2-22222-2-222-2-2-2-2-2-2000000000022-22200220000-2-2000000000000000000000000000000-111-1i3i3−i3−i3
χ102-222-22-2-2-222-2-2-2-222222-2-22-22-20000002i−2i00000000000002i−2i00000000−i2−i2−i2−i2i2i2i2i20000−i2−i2i2i22222−2−2−2−2000000-11-11i−ii−i
χ112-222-22-2-2-222-2-2-2-222222-2-22-22-20000002i−2i00000000000002i−2i00000000i2i2i2i2−i2−i2−i2−i20000i2i2−i2−i2−2−2−2−22222000000-11-11i−ii−i
χ122-222-22-2-2-222-2-2-2-222222-2-22-22-2000000−2i2i0000000000000−2i2i00000000−i2−i2−i2−i2i2i2i2i20000−i2−i2i2i2−2−2−2−22222000000-11-11−ii−ii
χ132-222-22-2-2-222-2-2-2-222222-2-22-22-2000000−2i2i0000000000000−2i2i00000000i2i2i2i2−i2−i2−i2−i20000i2i2−i2−i22222−2−2−2−2000000-11-11−ii−ii
χ1433333333333333333333333333-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-100000000
χ1533333333333333333333333333-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111100000000
χ1633333333333333333333333333-1-1-1-1-1-1-3-311111111-1-1-1-1-1-3-3-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11100000000
χ1733333333333333333333333333-1-1-1-1-1-1-3-311111111-1-1-1-1-1-3-3-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-100000000
χ183333333333333-1-13-1-1-1-1-1-1-1-1-1-1333-1-13333333-1-1-1-13-1-13-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1-1-1-100000000
χ193333333333333-1-13-1-1-1-1-1-1-1-1-1-1333-1-13333333-1-1-1-13-1-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111100000000
χ203333333333333-1-13-1-1-1-1-1-1-1-1-1-1333-1-13-3-3-3-3-3-311113-1-13-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11100000000
χ213333333333333-1-13-1-1-1-1-1-1-1-1-1-1333-1-13-3-3-3-3-3-311113-1-13-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-100000000
χ223333333333333-1-13-1-1-1-1-1-1-1-1-1-1-1-1-133-133-1-1-1-1-1-1-1-1-133-13-1-1-1-133-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111100000000
χ233333333333333-1-13-1-1-1-1-1-1-1-1-1-1-1-1-133-133-1-1-1-1-1-1-1-1-133-13-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-100000000
χ243333333333333-1-13-1-1-1-1-1-1-1-1-1-1-1-1-133-1-3-311111111-133-1311-1-1-3-311-1-1111111111111-1-1-1-1-1-111-1-111-1-111-1-100000000
χ253333333333333-1-13-1-1-1-1-1-1-1-1-1-1-1-1-133-1-3-311111111-133-1311-1-1-3-311-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11100000000
χ264-444-44-4-44-44-4444-4-4-444-4-4-444-4000000000000000000000000000000000000000000000000000000000000011-1-13−3−33
χ274-444-44-4-44-44-4444-4-4-444-4-4-444-4000000000000000000000000000000000000000000000000000000000000011-1-1−333−3
χ284-444-44-4-44-44-4444-4-4-444-4-4-444-40000000000000000000000000000000000000000000000000000000000000-2-2220000
χ294-444-44-4-4-444-4-4-4-444444-4-44-44-40000004i−4i00000000000004i−4i000000000000000000000000000000000000001-11-1−ii−ii
χ304-444-44-4-4-444-4-4-4-444444-4-44-44-4000000−4i4i0000000000000−4i4i000000000000000000000000000000000000001-11-1i−ii−i
χ316666666666666-2-26-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-266-2-2-2-22222-2-2-2-2-2-2-222-2-2222200000000000000000000000000000000000000
χ326666666666666-2-26-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-6-62222-2-2-2-2-2-2-2-2-2222222-2-22200000000000000000000000000000000000000
χ3366666666-6-666-622-622-2-2-2-222-2-22222220000004444-2-22-2-2002200-4-4-2-200000000000000000000000000000000000000
χ3466666666-6-666-622-622-2-2-2-222-2-2222222000000-4-4-4-4-2-22-2-200220044-2-200000000000000000000000000000000000000
χ3566666666-6-666-622-622-2-2-2-222-2-2222-6-620000000000-26-6-2600-2-200002200000000000000000000000000000000000000
χ3666666666-6-666-622-622-2-2-2-222-2-2-6-6-622-600000000006-226-200-2-200002200000000000000000000000000000000000000
χ3766666666-6-666-6-6-6-6-6-66666-6-6662222220000000000-2-22-2-200-2-200002200000000000000000000000000000000000000
χ3866-2-266-2-266-2-2-26-2-26-26-26-2-2-2-2-222-2-2-2-20000000000-2-2222002-200002-20000000000000000000000002-22-20000000000
χ3966-2-266-2-266-2-2-26-2-26-26-26-2-2-2-2-222-2-2-2-20000000000-2-2222002-200002-2000000000000000000000000-22-220000000000
χ4066-2-266-2-266-2-2-26-2-26-26-26-2-2-2-2-2-2-22222000000000022-2-2-200-220000-220000000022-2-200000000000000002-200000000
χ4166-2-266-2-266-2-2-26-2-26-26-26-2-2-2-2-2-2-22222000000000022-2-2-200-220000-2200000000-2-2220000000000000000-2200000000
χ4266-2-266-2-266-2-2-2-26-2-26-26-26-2-2-2-222-2-2-2-20000000000-2-222200-220000-220000000000000000000000002-2-220000000000
χ4366-2-266-2-266-2-2-2-26-2-26-26-26-2-2-2-222-2-2-2-20000000000-2-222200-220000-22000000000000000000000000-222-20000000000
χ4466-2-266-2-266-2-2-2-26-2-26-26-26-2-2-2-2-2-22222000000000022-2-2-2002-200002-20000000022-2-20000000000000000-2200000000
χ4566-2-266-2-266-2-2-2-26-2-26-26-26-2-2-2-2-2-22222000000000022-2-2-2002-200002-200000000-2-22200000000000000002-200000000
χ4666-2-266-2-2-6-6-2-222-622-6-26-2622-2-222-2-2-2-20000000000222-2-2002-20000-2200000000000000002i−2i2i−2i2i−2i2i−2i00000000000000
χ4766-2-266-2-2-6-6-2-222-622-6-26-2622-2-222-2-2-2-20000000000222-2-2002-20000-220000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000
χ4866-2-266-2-2-6-6-2-222-622-6-26-2622-2-2-2-222220000000000-2-2-22200-2200002-222-2-222-2-200002-22-20000000000000000000000
χ4966-2-266-2-2-6-6-2-222-622-6-26-2622-2-2-2-222220000000000-2-2-22200-2200002-2-2-222-2-2220000-22-220000000000000000000000
χ5066-2-266-2-2-6-6-2-22-622-626-26-222-2-222-2-2-2-20000000000222-2-200-2200002-200000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ5166-2-266-2-2-6-6-2-22-622-626-26-222-2-222-2-2-2-20000000000222-2-200-2200002-20000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ5266-2-266-2-2-6-6-2-22-622-626-26-222-2-2-2-222220000000000-2-2-222002-20000-2222-2-222-2-20000-22-220000000000000000000000
χ5366-2-266-2-2-6-6-2-22-622-626-26-222-2-2-2-222220000000000-2-2-222002-20000-22-2-222-2-22200002-22-20000000000000000000000
χ546-666-66-6-6-666-6-6226-2-2-2-222-22-220000006i−6i0000000000000−2i2i00000000−i2−i2−i2−i2i2i2i2i20000i2i2−i2−i222−2−2−2−22200000000000000
χ556-666-66-6-6-666-6-6226-2-2-2-222-22-220000006i−6i0000000000000−2i2i00000000i2i2i2i2−i2−i2−i2−i20000−i2−i2i2i2−2−22222−2−200000000000000
χ566-666-66-6-6-666-6-6226-2-2-2-222-22-22000000−6i6i00000000000002i−2i00000000−i2−i2−i2−i2i2i2i2i20000i2i2−i2−i2−2−22222−2−200000000000000
χ576-666-66-6-6-666-6-6226-2-2-2-222-22-22000000−6i6i00000000000002i−2i00000000i2i2i2i2−i2−i2−i2−i20000−i2−i2i2i222−2−2−2−22200000000000000
χ586-6-2-2-66226-6-22-26-22-626-2-622-2-220000000022-2-222-2-20000000002-22-200−i2−i2i2i2i2i2−i2−i20000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000000000
χ596-6-2-2-66226-6-22-26-22-626-2-622-2-220000000022-2-222-2-20000000002-22-200i2i2−i2−i2−i2−i2i2i20000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000000000
χ606-6-2-2-66226-6-22-26-22-626-2-622-2-2200000000-2-222-2-222000000000-22-2200−i2−i2i2i2i2i2−i2−i20000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000000000
χ616-6-2-2-66226-6-22-26-22-626-2-622-2-2200000000-2-222-2-222000000000-22-2200i2i2−i2−i2−i2−i2i2i20000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000000000
χ626-6-2-2-66226-6-22-2-2622-6-262-62-2-220000000022-2-2-2-2220000000002-2-2200−i2−i2i2i2i2i2−i2−i20000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i200000000000000
χ636-6-2-2-66226-6-22-2-2622-6-262-62-2-220000000022-2-2-2-2220000000002-2-2200i2i2−i2−i2−i2−i2i2i20000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i200000000000000
χ646-6-2-2-66226-6-22-2-2622-6-262-62-2-2200000000-2-22222-2-2000000000-222-200−i2−i2i2i2i2i2−i2−i20000−i2i2i2−i2i2−i2i2−i2−i2i2−i2i200000000000000
χ656-6-2-2-66226-6-22-2-2622-6-262-62-2-2200000000-2-22222-2-2000000000-222-200i2i2−i2−i2−i2−i2i2i20000i2−i2−i2i2−i2i2−i2i2i2−i2i2−i200000000000000
χ66121212-4-4-412-400-4-4000000000000004-4-4004004-44-400000000000000000002-22-22-22-22-22-200000000000000000000000000
χ67121212-4-4-412-400-4-4000000000000004-4-4004004-44-40000000000000000000-22-22-22-22-22-2200000000000000000000000000
χ68121212-4-4-412-400-4-4000000000000004-4-400400-44-4400000000000000000002-22-22-22-2-22-2200000000000000000000000000
χ69121212-4-4-412-400-4-4000000000000004-4-400400-44-440000000000000000000-22-22-22-222-22-200000000000000000000000000
χ701212-412-4-4-41200-4-400000000000000-44-40040000004-44-40000000000000002-2-222-2-222-2-2200000000000000000000000000
χ711212-412-4-4-41200-4-400000000000000-44-40040000004-44-4000000000000000-222-2-222-2-222-200000000000000000000000000
χ721212-412-4-4-41200-4-400000000000000-44-4004000000-44-440000000000000002-2-222-2-22-222-200000000000000000000000000
χ731212-412-4-4-41200-4-400000000000000-44-4004000000-44-44000000000000000-222-2-222-22-2-2200000000000000000000000000
χ741212-4-41212-4-41212-4-4-4-4-4-4-4-4-4-4-4-4444444-444-40000000000-44-44-4000000000000000000000000000000000000000000000000
χ751212-4-41212-4-41212-4-4-4-4-4-4-4-4-4-4-4-44444-4-44-4-4400000000004-44-44000000000000000000000000000000000000000000000000
χ761212-4-41212-4-4-12-12-4-4444444-4-4-4-4-4-44444-444-400000000004-4-4-44000000000000000000000000000000000000000000000000
χ771212-4-41212-4-4-12-12-4-4444444-4-4-4-4-4-444-4-44-4-440000000000-4444-4000000000000000000000000000000000000000000000000
χ7812-121212-1212-12-1212-1212-1212-4-4-1244-4-4444-4-44000000000000000000000000000000000000000000000000000000000000000000000
χ7912-12-4-4-12124412-12-44-4-4-4444-4-444-444-40000000044-4-40000000000000-44000000000000000000000000000000000000000000
χ8012-12-4-4-12124412-12-44-4-4-4444-4-444-444-400000000-4-44400000000000004-4000000000000000000000000000000000000000000
χ8112-12-4-4-121244-1212-44444-4-4-4-4-4444-44-400000000000044-4-400000000000-440000000000000000000000000000000000000000
χ8212-12-4-4-121244-1212-44444-4-4-4-4-4444-44-4000000000000-4-444000000000004-40000000000000000000000000000000000000000
χ8312-12-4-4-121244-1212-4444-12-4-412-4124-12-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ8412-12-4-4-121244-1212-444-124-412-412-4-124-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ85242424-8-8-824-800-8-800000000000000-88800-8000000000000000000000000000000000000000000000000000000000000000
χ862424-824-8-8-82400-8-8000000000000008-8800-8000000000000000000000000000000000000000000000000000000000000000
χ8724-2424-88-8-24800-88000000000000000000000000000000000000000000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000
χ8824-2424-88-8-24800-880000000000000000000000000000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000
χ8924-24-8248-88-2400-88000000000000000000000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000
χ9024-24-8248-88-2400-880000000000000000000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000
χ9124-24-8-88-888008-8000000000000000008-80004-4-444-4-4400000000000000000000000000000000000000000000000000000
χ9224-24-8-88-888008-8000000000000000008-8000-444-4-444-400000000000000000000000000000000000000000000000000000
χ9324-24-8-88-888008-800000000000000000-880004-4-44-444-400000000000000000000000000000000000000000000000000000
χ9424-24-8-88-888008-800000000000000000-88000-444-44-4-4400000000000000000000000000000000000000000000000000000
χ954848-16-16-16-16-16-1600161600000000000000000000000000000000000000000000000000000000000000000000000000000000000

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