Finite Group Databasebeta

← Group #11872685

Character table — Group #11872685

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666634466612121212444448121212121212121224242424242424242444448812121212121212121212122466681212121224242424444488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-111-1-1-11111-1-1111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1111111-111-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-111-1-1-11-1-1-1-1-1-111-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-1111-1-1-1-11111111-111-1-1-111-1-1-1-111-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-111-111-1-11-1111111-1-111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1111-1-1-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-111
χ10111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1111111-1-11-1-1111-1-111-111-1-1-1-111-1-11111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1111-1-111-1-1-1-111-1-111
χ13111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1111-1-111-111-1-11-1-11111-1-1-1-111111-1
χ14111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-11-1-111-1-1-1-1-111111111111-1-1-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111-1-111111-1-1-1-111-1-1-1-1-11-1111-1-1-111-1-111-1-111-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-111-1-1111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000020000-20022-2-2-2-20000000200000000000-22000000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000-2000020022-2-2220000000-2000000000002-2000000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000020000-200-2-222-2-200000002000000000002-2000000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000-20000200-2-222220000000-200000000000-22000000
χ2122222-122-122-1-12-122-1-1-1-12-1222222222-1-1-1-1-1-122-1-1-1-1-1-100022000-1-1-1-1002-1-1-1-1200-1-1200-1-1-1-10000000000
χ2222222-122-122-1-12-122-1-1-1-12-122222-2-222-1-111-1-1-2-211111100022000-1-1-1-100-2-1-111-20011-200-1-1110000000000
χ2322222-122-122-1-12-122-1-1-1-12-12-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-1000-2-20001111002-1-1-1-1-20011-20011110000000000
χ2422222-122-122-1-12-122-1-1-1-12-12-2-2-2-2-2-222-1-111-1-1-2-2111111000-2-2000111100-2-1-111200-1-120011-1-10000000000
χ2522222-122-122-1-12-1-2-2-1-1-1-12-1222222-2-2-211-1-1-1-1-2-2111111000-2-2000-1-1-1-100211-1-1200-1-1-20011110000000000
χ2622222-122-122-1-12-1-2-2-1-1-1-12-122222-22-2-21111-1-122-1-1-1-1-1-1000-2-2000-1-1-1-100-21111-2001120011-1-10000000000
χ2722222-122-122-1-12-1-2-2-1-1-1-12-12-2-2-2-22-2-2-211-1-1-1-1-2-211111100022000111100211-1-1-20011200-1-1-1-10000000000
χ2822222-122-122-1-12-1-2-2-1-1-1-12-12-2-2-2-2-22-2-21111-1-122-1-1-1-1-1-100022000111100-21111200-1-1-200-1-1110000000000
χ292222-12222-1-122-1-122-1-1-12-12-1000022-1-12222-1-1-1-122-1-1-1-1222002220000-1-1-1-1-1-1-102-1000-1-10000-1-1000000-10
χ302222-12222-1-122-1-122-1-1-12-12-1000022-1-12222-1-1-1-122-1-1-1-1-2-2-200-2-2-2000011-1-1-1-1-10-210001100001100000010
χ312222-12222-1-122-1-122-1-1-12-12-10000-2-2-1-122-2-2-1-111-2-21111222002-2-20000-1-11-1-1110-2-1000-1-100001100000010
χ322222-12222-1-122-1-122-1-1-12-12-10000-2-2-1-122-2-2-1-111-2-21111-2-2-200-2220000111-1-111021000110000-1-1000000-10
χ332222-12222-1-122-1-1-2-2-1-1-12-12-100002-211-2-222-1-111-2-211112-2-2002-2-20000-1-1-111-1-102-100011000011000000-10
χ342222-12222-1-122-1-1-2-2-1-1-12-12-100002-211-2-222-1-111-2-21111-22200-222000011-111-1-10-21000-1-10000-1-100000010
χ352222-12222-1-122-1-1-2-2-1-1-12-12-10000-2211-2-2-2-2-1-1-1-122-1-1-1-12-2-2002220000-1-1111110-2-1000110000-1-100000010
χ362222-12222-1-122-1-1-2-2-1-1-12-12-10000-2211-2-2-2-2-1-1-1-122-1-1-1-1-22200-2-2-200001111111021000-1-1000011000000-10
χ372-22-2222-2-2-2-22-22200-22-2-2-2222i−2i2i−2i000000002-20000000002i−2i000002i−2i2i−2i00000000000002i−2i000000002-20000
χ382-22-2222-2-2-2-22-22200-22-2-2-2222i−2i2i−2i000000002-2000000000−2i2i000002i−2i2i−2i0000000000000−2i2i00000000-220000
χ392-22-2222-2-2-2-22-22200-22-2-2-222−2i2i−2i2i000000002-20000000002i−2i00000−2i2i−2i2i00000000000002i−2i00000000-220000
χ402-22-2222-2-2-2-22-22200-22-2-2-222−2i2i−2i2i000000002-2000000000−2i2i00000−2i2i−2i2i0000000000000−2i2i000000002-20000
χ412-22-222-22-2-2-22-2222i−2i-22-222-2-22i−2i−2i2i002i−2i2i−2i00-22000000000002-20002i−2i−2i2i0002i−2i00000000002-2000000000000
χ422-22-222-22-2-2-22-2222i−2i-22-222-2-2−2i2i2i−2i002i−2i2i−2i00-2200000000000-22000−2i2i2i−2i0002i−2i0000000000-22000000000000
χ432-22-222-22-2-2-22-222−2i2i-22-222-2-22i−2i−2i2i00−2i2i−2i2i00-2200000000000-220002i−2i−2i2i000−2i2i0000000000-22000000000000
χ442-22-222-22-2-2-22-222−2i2i-22-222-2-2−2i2i2i−2i00−2i2i−2i2i00-22000000000002-2000−2i2i2i−2i000−2i2i00000000002-2000000000000
χ452-22-22-1-221-2-2-112-12i−2i1-11-121-22i−2i−2i2i002i−2i−ii3−31-100−i3i3−i3−i3i3i30002-2000−iii−i000−ii3−3000−i3i3000-113−30000000000
χ462-22-22-1-221-2-2-112-12i−2i1-11-121-22i−2i−2i2i002i−2i−ii−331-100i3−i3i3i3−i3−i30002-2000−iii−i000−ii−33000i3−i3000-11−330000000000
χ472-22-22-1-221-2-2-112-12i−2i1-11-121-2−2i2i2i−2i002i−2i−ii3−31-100−i3i3−i3−i3i3i3000-22000i−i−ii000−ii3−3000i3−i30001-1−330000000000
χ482-22-22-1-221-2-2-112-12i−2i1-11-121-2−2i2i2i−2i002i−2i−ii−331-100i3−i3i3i3−i3−i3000-22000i−i−ii000−ii−33000−i3i30001-13−30000000000
χ492-22-22-1-221-2-2-112-1−2i2i1-11-121-22i−2i−2i2i00−2i2ii−i3−31-100i3−i3i3i3−i3−i3000-22000−iii−i000i−i3−3000−i3i30001-1−330000000000
χ502-22-22-1-221-2-2-112-1−2i2i1-11-121-22i−2i−2i2i00−2i2ii−i−331-100−i3i3−i3−i3i3i3000-22000−iii−i000i−i−33000i3−i30001-13−30000000000
χ512-22-22-1-221-2-2-112-1−2i2i1-11-121-2−2i2i2i−2i00−2i2ii−i3−31-100i3−i3i3i3−i3−i30002-2000i−i−ii000i−i3−3000i3−i3000-113−30000000000
χ522-22-22-1-221-2-2-112-1−2i2i1-11-121-2−2i2i2i−2i00−2i2ii−i−331-100−i3i3−i3−i3i3i30002-2000i−i−ii000i−i−33000−i3i3000-11−330000000000
χ5344444-2-4-4-244-2-24-200-2-2-22-42-444-4-400000000220000000000000000-2-22200000000000000000000000000000
χ5444444-2-4-4-244-2-24-200-2-2-22-42-4-4-4440000000022000000000000000022-2-200000000000000000000000000000
χ554444-24-4-44-2-244-2-200-2-2-2-42-42000000000000220000000040000-4000000220000000-20000000000000000000
χ564444-24-4-44-2-244-2-200-2-2-2-42-420000000000002200000000-400004000000-2-2000000020000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-2-2-222112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-42222-2-2112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-444004-44-4-4-44004-4-400000000000000000000000000000000000000000000000000000000000000022−2200
χ6244-4-444004-44-4-4-44004-4-4000000000000000000000000000000000000000000000000000000000000000−222200
χ634-44-44-24-42-4-4-224-2002-222-4-244i−4i4i−4i00000000-220000000000000000−2i2i−2i2i00000000000000000000000000000
χ644-44-44-24-42-4-4-224-2002-222-4-24−4i4i−4i4i00000000-2200000000000000002i−2i2i−2i00000000000000000000000000000
χ654-44-4-244-4-4224-4-2-2002-22-424-2000000000000-220000000004i−4i0000000000000000000000−2i2i00000000000000
χ664-44-4-244-4-4224-4-2-2002-22-424-2000000000000-22000000000−4i4i00000000000000000000002i−2i00000000000000
χ674-44-4-24-44-4224-4-2-24i−4i2-224-2-42000000−2i2i4i−4i002-200000000000000000000000−2i2i000000000000000000000000
χ684-44-4-24-44-4224-4-2-2−4i4i2-224-2-420000002i−2i−4i4i002-2000000000000000000000002i−2i000000000000000000000000
χ694-44-4-2-2-44222-22-214i−4i-11-1-2-222000000−2i2i−2i2i23−23-1100−2i32i3i3i3−i3−i3000000000000000i−i−330000000000000000000000
χ704-44-4-2-2-44222-22-214i−4i-11-1-2-222000000−2i2i−2i2i−2323-11002i3−2i3−i3−i3i3i3000000000000000i−i3−30000000000000000000000
χ714-44-4-2-2-44222-22-21−4i4i-11-1-2-2220000002i−2i2i−2i23−23-11002i3−2i3−i3−i3i3i3000000000000000−ii−330000000000000000000000
χ724-44-4-2-2-44222-22-21−4i4i-11-1-2-2220000002i−2i2i−2i−2323-1100−2i32i3i3i3−i3−i3000000000000000−ii3−30000000000000000000000
χ734-4-444400-44-4-44-4400-4-4400000000000000000000000000000000−2i22i200000000000000000000000−2i22i200000000
χ744-4-444400-44-4-44-4400-4-44000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i200000000
χ754-4-44-2400-4-22-442-20022-2000000000000000000i6−i600i6−i6i6−i6000000−2i22i2000023−2300000000000000000i2−i200000000
χ764-4-44-2400-4-22-442-20022-2000000000000000000i6−i600i6−i6i6−i60000002i2−2i20000−232300000000000000000−i2i200000000
χ774-4-44-2400-4-22-442-20022-2000000000000000000−i6i600−i6i6−i6i6000000−2i22i20000−232300000000000000000i2−i200000000
χ784-4-44-2400-4-22-442-20022-2000000000000000000−i6i600−i6i6−i6i60000002i2−2i2000023−2300000000000000000−i2i200000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-400-4-8844-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-480084-4-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-44442002-2-2000000000000000000000032−32−323200000000000000000000000000000000000000000
χ8388-8-8-4-400-44-44442002-2-20000000000000000000000−323232−3200000000000000000000000000000000000000000
χ848-88-8-4-48-8444-44-4200-22-244-4-40000000000002-20000000000000000000000000000000000000000000000000
χ858-8-888-40048-84-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-444-44200-2-220000000000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000
χ878-8-88-4-4004-444-44200-2-22000000000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000

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