Finite Group Databasebeta

← Group #11873575

Character table — Group #11873575

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222224444444488888812121212242422224444448888888816161616161624242424484833336666661212121212121212242424242424363636367272
order1222344666881212242424242466121244882436663121266624241212242424246126612121212242461222226446668812122424242424661212448824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-111-1-1-1-11-111-1-111-1-11-11111111111-1-111-1-1-1-11-111-1-111-1-11-11111111111-1-111-1-1-1-11-111-1-111-1-11-1
χ61111111111-1-111-1-1-1-11-111-1-1-1-111-111111111111-1-111-1-1-1-11-111-1-1-1-111-111111111111-1-111-1-1-1-11-111-1-1-1-111-11
χ71111111111-1-111-1-1-1-1-11-1-11111-1-1-111111111111-1-111-1-1-1-1-11-1-11111-1-1-111111111111-1-111-1-1-1-1-11-1-11111-1-1-11
χ81111111111-1-111-1-1-1-1-11-1-111-1-1111-11111111111-1-111-1-1-1-1-11-1-111-1-1111-11111111111-1-111-1-1-1-1-11-1-111-1-1111-1
χ922222-2-222200-2-200000000002-2000022222-2-222200-2-200000000002-2000022222-2-222200-2-200000000002-20000
χ1022222-2-222200-2-20000000000-22000022222-2-222200-2-20000000000-22000022222-2-222200-2-20000000000-220000
χ112222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-1000000
χ122222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-21111000000
χ132222-122-1-1-1-2-2-1-111112-2-1-1110000002222-122-1-1-1-2-2-1-111112-2-1-1110000002222-122-1-1-1-2-2-1-111112-2-1-111000000
χ142222-122-1-1-1-2-2-1-11111-2211-1-10000002222-122-1-1-1-2-2-1-11111-2211-1-10000002222-122-1-1-1-2-2-1-11111-2211-1-1000000
χ1522-2-222-2-22-200-220000000000002i−2i0022-2-222-2-22-200-220000000000002i−2i0022-2-222-2-22-200-220000000000002i−2i00
χ1622-2-222-2-22-200-22000000000000−2i2i0022-2-222-2-22-200-22000000000000−2i2i0022-2-222-2-22-200-22000000000000−2i2i00
χ1722-2-22-22-22-22i−2i2-22i2i−2i−2i00000000000022-2-22-22-22-22i−2i2-22i2i−2i−2i00000000000022-2-22-22-22-22i−2i2-22i2i−2i−2i000000000000
χ1822-2-22-22-22-2−2i2i2-2−2i−2i2i2i00000000000022-2-22-22-22-2−2i2i2-2−2i−2i2i2i00000000000022-2-22-22-22-2−2i2i2-2−2i−2i2i2i000000000000
χ1922-2-2-1-221-112i−2i-11−i−iii00−i3i33−300000022-2-2-1-221-112i−2i-11−i−iii00−i3i33−300000022-2-2-1-221-112i−2i-11−i−iii00−i3i33−3000000
χ2022-2-2-1-221-112i−2i-11−i−iii00i3−i3−3300000022-2-2-1-221-112i−2i-11−i−iii00i3−i3−3300000022-2-2-1-221-112i−2i-11−i−iii00i3−i3−33000000
χ2122-2-2-1-221-11−2i2i-11ii−i−i00−i3i3−3300000022-2-2-1-221-11−2i2i-11ii−i−i00−i3i3−3300000022-2-2-1-221-11−2i2i-11ii−i−i00−i3i3−33000000
χ2222-2-2-1-221-11−2i2i-11ii−i−i00i3−i33−300000022-2-2-1-221-11−2i2i-11ii−i−i00i3−i33−300000022-2-2-1-221-11−2i2i-11ii−i−i00i3−i33−3000000
χ234444-2-4-4-2-2-2002200000000000000004444-2-4-4-2-2-2002200000000000000004444-2-4-4-2-2-200220000000000000000
χ2444-4-4-24-42-22002-2000000000000000044-4-4-24-42-22002-2000000000000000044-4-4-24-42-22002-20000000000000000
χ254-44-4400-4-44000000000000000000004-44-4400-4-44000000000000000000004-44-4400-4-4400000000000000000000
χ264-44-4-20022-20000i6−i6i6−i60000000000004-44-4-20022-20000i6−i6i6−i60000000000004-44-4-20022-20000i6−i6i6−i6000000000000
χ274-44-4-20022-20000−i6i6−i6i60000000000004-44-4-20022-20000−i6i6−i6i60000000000004-44-4-20022-20000−i6i6−i6i6000000000000
χ284-4-444004-4-4000000000000000000004-4-444004-4-4000000000000000000004-4-444004-4-400000000000000000000
χ294-4-44-200-22200006−6−660000000000004-4-44-200-22200006−6−660000000000004-4-44-200-22200006−6−66000000000000
χ304-4-44-200-2220000−666−60000000000004-4-44-200-2220000−666−60000000000004-4-44-200-2220000−666−6000000000000
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ32111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ33111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ34111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ351111111111-1-111-1-1-1-11-111-1-111-1-11-11111111111-1-111-1-1-1-11-111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-111-1-111-11
χ361111111111-1-111-1-1-1-11-111-1-1-1-111-111111111111-1-111-1-1-1-11-111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-11-1
χ371111111111-1-111-1-1-1-1-11-1-11111-1-1-111111111111-1-111-1-1-1-1-11-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-1111-1
χ381111111111-1-111-1-1-1-1-11-1-111-1-1111-11111111111-1-111-1-1-1-1-11-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-11
χ3922222-2-222200-2-200000000002-2000022222-2-222200-2-200000000002-20000-2-2-2-2-222-2-2-200220000000000-220000
χ4022222-2-222200-2-20000000000-22000022222-2-222200-2-20000000000-220000-2-2-2-2-222-2-2-2002200000000002-20000
χ412222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-1000000-2-2-2-21-2-2111-2-2111111-2-21111000000
χ422222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-21111000000-2-2-2-21-2-2111-2-211111122-1-1-1-1000000
χ432222-122-1-1-1-2-2-1-111112-2-1-1110000002222-122-1-1-1-2-2-1-111112-2-1-111000000-2-2-2-21-2-21112211-1-1-1-1-2211-1-1000000
χ442222-122-1-1-1-2-2-1-11111-2211-1-10000002222-122-1-1-1-2-2-1-11111-2211-1-1000000-2-2-2-21-2-21112211-1-1-1-12-2-1-111000000
χ4522-2-222-2-22-200-220000000000002i−2i0022-2-222-2-22-200-220000000000002i−2i00-2-222-2-222-22002-2000000000000−2i2i00
χ4622-2-222-2-22-200-22000000000000−2i2i0022-2-222-2-22-200-22000000000000−2i2i00-2-222-2-222-22002-20000000000002i−2i00
χ4722-2-22-22-22-22i−2i2-22i2i−2i−2i00000000000022-2-22-22-22-22i−2i2-22i2i−2i−2i000000000000-2-222-22-22-22−2i2i-22−2i−2i2i2i000000000000
χ4822-2-22-22-22-2−2i2i2-2−2i−2i2i2i00000000000022-2-22-22-22-2−2i2i2-2−2i−2i2i2i000000000000-2-222-22-22-222i−2i-222i2i−2i−2i000000000000
χ4922-2-2-1-221-112i−2i-11−i−iii00−i3i33−300000022-2-2-1-221-112i−2i-11−i−iii00−i3i33−3000000-2-22212-2-11-1−2i2i1-1ii−i−i00i3−i3−33000000
χ5022-2-2-1-221-112i−2i-11−i−iii00i3−i3−3300000022-2-2-1-221-112i−2i-11−i−iii00i3−i3−33000000-2-22212-2-11-1−2i2i1-1ii−i−i00−i3i33−3000000
χ5122-2-2-1-221-11−2i2i-11ii−i−i00−i3i3−3300000022-2-2-1-221-11−2i2i-11ii−i−i00−i3i3−33000000-2-22212-2-11-12i−2i1-1−i−iii00i3−i33−3000000
χ5222-2-2-1-221-11−2i2i-11ii−i−i00i3−i33−300000022-2-2-1-221-11−2i2i-11ii−i−i00i3−i33−3000000-2-22212-2-11-12i−2i1-1−i−iii00−i3i3−33000000
χ534444-2-4-4-2-2-2002200000000000000004444-2-4-4-2-2-200220000000000000000-4-4-4-424422200-2-20000000000000000
χ5444-4-4-24-42-22002-2000000000000000044-4-4-24-42-22002-20000000000000000-4-4442-44-22-200-220000000000000000
χ554-44-4400-4-44000000000000000000004-44-4400-4-4400000000000000000000-44-44-40044-400000000000000000000
χ564-44-4-20022-20000i6−i6i6−i60000000000004-44-4-20022-20000i6−i6i6−i6000000000000-44-44200-2-220000−i6i6−i6i6000000000000
χ574-44-4-20022-20000−i6i6−i6i60000000000004-44-4-20022-20000−i6i6−i6i6000000000000-44-44200-2-220000i6−i6i6−i6000000000000
χ584-4-444004-4-4000000000000000000004-4-444004-4-400000000000000000000-444-4-400-44400000000000000000000
χ594-4-44-200-22200006−6−660000000000004-4-44-200-22200006−6−66000000000000-444-42002-2-20000−666−6000000000000
χ604-4-44-200-2220000−666−60000000000004-4-44-200-2220000−666−6000000000000-444-42002-2-200006−6−66000000000000
χ61222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ62222222222222222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000000000000000000000
χ63222222222222222222-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111000000000000000000000000000000
χ64222222222222222222-2-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1000000000000000000000000000000
χ652222222222-2-222-2-2-2-22-222-2-222-2-22-2-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-111-1-111-11000000000000000000000000000000
χ662222222222-2-222-2-2-2-22-222-2-2-2-222-22-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-11-1000000000000000000000000000000
χ672222222222-2-222-2-2-2-2-22-2-22222-2-2-22-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-1111-1000000000000000000000000000000
χ682222222222-2-222-2-2-2-2-22-2-222-2-2222-2-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-11000000000000000000000000000000
χ6944444-4-444400-4-400000000004-40000-2-2-2-2-222-2-2-200220000000000-220000000000000000000000000000000000
χ7044444-4-444400-4-40000000000-440000-2-2-2-2-222-2-2-2002200000000002-20000000000000000000000000000000000
χ714444-244-2-2-244-2-2-2-2-2-244-2-2-2-2000000-2-2-2-21-2-2111-2-2111111-2-21111000000000000000000000000000000000000
χ724444-244-2-2-244-2-2-2-2-2-2-4-42222000000-2-2-2-21-2-2111-2-211111122-1-1-1-1000000000000000000000000000000000000
χ734444-244-2-2-2-4-4-2-222224-4-2-222000000-2-2-2-21-2-21112211-1-1-1-1-2211-1-1000000000000000000000000000000000000
χ744444-244-2-2-2-4-4-2-22222-4422-2-2000000-2-2-2-21-2-21112211-1-1-1-12-2-1-111000000000000000000000000000000000000
χ7544-4-444-4-44-400-440000000000004i−4i00-2-222-2-222-22002-2000000000000−2i2i00000000000000000000000000000000
χ7644-4-444-4-44-400-44000000000000−4i4i00-2-222-2-222-22002-20000000000002i−2i00000000000000000000000000000000
χ7744-4-44-44-44-44i−4i4-44i4i−4i−4i000000000000-2-222-22-22-22−2i2i-22−2i−2i2i2i000000000000000000000000000000000000000000
χ7844-4-44-44-44-4−4i4i4-4−4i−4i4i4i000000000000-2-222-22-22-222i−2i-222i2i−2i−2i000000000000000000000000000000000000000000
χ7944-4-4-2-442-224i−4i-22−2i−2i2i2i00−2i32i323−23000000-2-22212-2-11-1−2i2i1-1ii−i−i00i3−i3−33000000000000000000000000000000000000
χ8044-4-4-2-442-224i−4i-22−2i−2i2i2i002i3−2i3−2323000000-2-22212-2-11-1−2i2i1-1ii−i−i00−i3i33−3000000000000000000000000000000000000
χ8144-4-4-2-442-22−4i4i-222i2i−2i−2i00−2i32i3−2323000000-2-22212-2-11-12i−2i1-1−i−iii00i3−i33−3000000000000000000000000000000000000
χ8244-4-4-2-442-22−4i4i-222i2i−2i−2i002i3−2i323−23000000-2-22212-2-11-12i−2i1-1−i−iii00−i3i3−33000000000000000000000000000000000000
χ838888-4-8-8-4-4-400440000000000000000-4-4-4-424422200-2-20000000000000000000000000000000000000000000000
χ8488-8-8-48-84-44004-40000000000000000-4-4442-44-22-200-220000000000000000000000000000000000000000000000
χ858-88-8800-8-8800000000000000000000-44-44-40044-400000000000000000000000000000000000000000000000000
χ868-88-8-40044-400002i6−2i62i6−2i6000000000000-44-44200-2-220000−i6i6−i6i6000000000000000000000000000000000000000000
χ878-88-8-40044-40000−2i62i6−2i62i6000000000000-44-44200-2-220000i6−i6i6−i6000000000000000000000000000000000000000000
χ888-8-888008-8-800000000000000000000-444-4-400-44400000000000000000000000000000000000000000000000000
χ898-8-88-400-444000026−26−2626000000000000-444-42002-2-20000−666−6000000000000000000000000000000000000000000
χ908-8-88-400-4440000−262626−26000000000000-444-42002-2-200006−6−66000000000000000000000000000000000000000000

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