Finite Group Databasebeta

← Group #11867922

Character table — Group #11867922

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222222244444448888881212121224242244444444488888881616161616162424242448483366666666612121212121212242424242424363636367272
order1223446668881212242424242266662488883663121266624242412122424242466666661224242424222644666888121224242424226666248888
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
χ5111111111-1-1-111-1-1-1-11-111-1-111-1-11-1111111111-1-1-111-1-1-1-11-111-1-111-1-11-1111111111-1-1-111-1-1-1-11-111-1-111-1-11-1
χ6111111111-1-1-111-1-1-1-11-111-1-1-1-111-11111111111-1-1-111-1-1-1-11-111-1-1-1-111-11111111111-1-1-111-1-1-1-11-111-1-1-1-111-11
χ7111111111-1-1-111-1-1-1-1-11-1-11111-1-1-11111111111-1-1-111-1-1-1-1-11-1-11111-1-1-11111111111-1-1-111-1-1-1-1-11-1-11111-1-1-11
χ8111111111-1-1-111-1-1-1-1-11-1-111-1-1111-1111111111-1-1-111-1-1-1-1-11-1-111-1-1111-1111111111-1-1-111-1-1-1-1-11-1-111-1-1111-1
χ92222-2-2222000-2-20000000000002i−2i002222-2-2222000-2-20000000000002i−2i002222-2-2222000-2-20000000000002i−2i00
χ102222-2-2222000-2-2000000000000−2i2i002222-2-2222000-2-2000000000000−2i2i002222-2-2222000-2-2000000000000−2i2i00
χ11222-122-1-1-1222-1-1-1-1-1-122-1-1-1-1000000222-122-1-1-1222-1-1-1-1-1-122-1-1-1-1000000222-122-1-1-1222-1-1-1-1-1-122-1-1-1-1000000
χ12222-122-1-1-1222-1-1-1-1-1-1-2-21111000000222-122-1-1-1222-1-1-1-1-1-1-2-21111000000222-122-1-1-1222-1-1-1-1-1-1-2-21111000000
χ13222-122-1-1-1-2-2-2-1-111112-2-1-111000000222-122-1-1-1-2-2-2-1-111112-2-1-111000000222-122-1-1-1-2-2-2-1-111112-2-1-111000000
χ14222-122-1-1-1-2-2-2-1-11111-2211-1-1000000222-122-1-1-1-2-2-2-1-11111-2211-1-1000000222-122-1-1-1-2-2-2-1-11111-2211-1-1000000
χ1522-222-2-2-2222-2-2222-2-200000000000022-222-2-2-2222-2-2222-2-200000000000022-222-2-2-2222-2-2222-2-2000000000000
χ1622-222-2-2-22-2-22-22-2-22200000000000022-222-2-2-22-2-22-22-2-22200000000000022-222-2-2-22-2-22-22-2-222000000000000
χ1722-22-22-2-220002-200000000002-2000022-22-22-2-220002-200000000002-2000022-22-22-2-220002-200000000002-20000
χ1822-22-22-2-220002-20000000000-22000022-22-22-2-220002-20000000000-22000022-22-22-2-220002-20000000000-220000
χ1922-2-12-211-122-21-1-1-11100−i3i3−i3i300000022-2-12-211-122-21-1-1-11100−i3i3−i3i300000022-2-12-211-122-21-1-1-11100−i3i3−i3i3000000
χ2022-2-12-211-122-21-1-1-11100i3−i3i3−i300000022-2-12-211-122-21-1-1-11100i3−i3i3−i300000022-2-12-211-122-21-1-1-11100i3−i3i3−i3000000
χ2122-2-12-211-1-2-221-111-1-100−i3i3i3−i300000022-2-12-211-1-2-221-111-1-100−i3i3i3−i300000022-2-12-211-1-2-221-111-1-100−i3i3i3−i3000000
χ2222-2-12-211-1-2-221-111-1-100i3−i3−i3i300000022-2-12-211-1-2-221-111-1-100i3−i3−i3i300000022-2-12-211-1-2-221-111-1-100i3−i3−i3i3000000
χ23444-2-4-4-2-2-2000220000000000000000444-2-4-4-2-2-2000220000000000000000444-2-4-4-2-2-2000220000000000000000
χ2444-4-2-4422-2000-22000000000000000044-4-2-4422-2000-22000000000000000044-4-2-4422-2000-220000000000000000
χ254-4040000-422−2200022−22000000000000004-4040000-422−2200022−22000000000000004-4040000-422−2200022−2200000000000000
χ264-4040000-4−2222000−2222000000000000004-4040000-4−2222000−2222000000000000004-4040000-4−2222000−222200000000000000
χ274-40-200−2i32i3222−22000−22i6−i60000000000004-40-200−2i32i3222−22000−22i6−i60000000000004-40-200−2i32i3222−22000−22i6−i6000000000000
χ284-40-200−2i32i32−22220002−2−i6i60000000000004-40-200−2i32i32−22220002−2−i6i60000000000004-40-200−2i32i32−22220002−2−i6i6000000000000
χ294-40-2002i3−2i3222−22000−22−i6i60000000000004-40-2002i3−2i3222−22000−22−i6i60000000000004-40-2002i3−2i3222−22000−22−i6i6000000000000
χ304-40-2002i3−2i32−22220002−2i6−i60000000000004-40-2002i3−2i32−22220002−2i6−i60000000000004-40-2002i3−2i32−22220002−2i6−i6000000000000
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
χ35111111111-1-1-111-1-1-1-11-111-1-111-1-11-1111111111-1-1-111-1-1-1-11-111-1-111-1-11-1-1-1-1-1-1-1-1-1-1111-1-11111-11-1-111-1-111-11
χ36111111111-1-1-111-1-1-1-11-111-1-1-1-111-11111111111-1-1-111-1-1-1-11-111-1-1-1-111-11-1-1-1-1-1-1-1-1-1111-1-11111-11-1-11111-1-11-1
χ37111111111-1-1-111-1-1-1-1-11-1-11111-1-1-11111111111-1-1-111-1-1-1-1-11-1-11111-1-1-11-1-1-1-1-1-1-1-1-1111-1-111111-111-1-1-1-1111-1
χ38111111111-1-1-111-1-1-1-1-11-1-111-1-1111-1111111111-1-1-111-1-1-1-1-11-1-111-1-1111-1-1-1-1-1-1-1-1-1-1111-1-111111-111-1-111-1-1-11
χ392222-2-2222000-2-20000000000002i−2i002222-2-2222000-2-20000000000002i−2i00-2-2-2-222-2-2-200022000000000000−2i2i00
χ402222-2-2222000-2-2000000000000−2i2i002222-2-2222000-2-2000000000000−2i2i00-2-2-2-222-2-2-2000220000000000002i−2i00
χ41222-122-1-1-1222-1-1-1-1-1-122-1-1-1-1000000222-122-1-1-1222-1-1-1-1-1-122-1-1-1-1000000-2-2-21-2-2111-2-2-2111111-2-21111000000
χ42222-122-1-1-1222-1-1-1-1-1-1-2-21111000000222-122-1-1-1222-1-1-1-1-1-1-2-21111000000-2-2-21-2-2111-2-2-211111122-1-1-1-1000000
χ43222-122-1-1-1-2-2-2-1-111112-2-1-111000000222-122-1-1-1-2-2-2-1-111112-2-1-111000000-2-2-21-2-211122211-1-1-1-1-2211-1-1000000
χ44222-122-1-1-1-2-2-2-1-11111-2211-1-1000000222-122-1-1-1-2-2-2-1-11111-2211-1-1000000-2-2-21-2-211122211-1-1-1-12-2-1-111000000
χ4522-222-2-2-2222-2-2222-2-200000000000022-222-2-2-2222-2-2222-2-2000000000000-2-22-2-2222-2-2-222-2-2-222000000000000
χ4622-222-2-2-22-2-22-22-2-22200000000000022-222-2-2-22-2-22-22-2-222000000000000-2-22-2-2222-222-22-222-2-2000000000000
χ4722-22-22-2-220002-200000000002-2000022-22-22-2-220002-200000000002-20000-2-22-22-222-2000-220000000000-220000
χ4822-22-22-2-220002-20000000000-22000022-22-22-2-220002-20000000000-220000-2-22-22-222-2000-2200000000002-20000
χ4922-2-12-211-122-21-1-1-11100−i3i3−i3i300000022-2-12-211-122-21-1-1-11100−i3i3−i3i3000000-2-221-22-1-11-2-22-1111-1-100i3−i3i3−i3000000
χ5022-2-12-211-122-21-1-1-11100i3−i3i3−i300000022-2-12-211-122-21-1-1-11100i3−i3i3−i3000000-2-221-22-1-11-2-22-1111-1-100−i3i3−i3i3000000
χ5122-2-12-211-1-2-221-111-1-100−i3i3i3−i300000022-2-12-211-1-2-221-111-1-100−i3i3i3−i3000000-2-221-22-1-1122-2-11-1-11100i3−i3−i3i3000000
χ5222-2-12-211-1-2-221-111-1-100i3−i3−i3i300000022-2-12-211-1-2-221-111-1-100i3−i3−i3i3000000-2-221-22-1-1122-2-11-1-11100−i3i3i3−i3000000
χ53444-2-4-4-2-2-2000220000000000000000444-2-4-4-2-2-2000220000000000000000-4-4-4244222000-2-20000000000000000
χ5444-4-2-4422-2000-22000000000000000044-4-2-4422-2000-220000000000000000-4-4424-4-2-220002-20000000000000000
χ554-4040000-422−2200022−22000000000000004-4040000-422−2200022−2200000000000000-440-400004−2222000−222200000000000000
χ564-4040000-4−2222000−2222000000000000004-4040000-4−2222000−222200000000000000-440-40000422−2200022−2200000000000000
χ574-40-200−2i32i3222−22000−22i6−i60000000000004-40-200−2i32i3222−22000−22i6−i6000000000000-4402002i3−2i3-2−22220002−2−i6i6000000000000
χ584-40-200−2i32i32−22220002−2−i6i60000000000004-40-200−2i32i32−22220002−2−i6i6000000000000-4402002i3−2i3-222−22000−22i6−i6000000000000
χ594-40-2002i3−2i3222−22000−22−i6i60000000000004-40-2002i3−2i3222−22000−22−i6i6000000000000-440200−2i32i3-2−22220002−2i6−i6000000000000
χ604-40-2002i3−2i32−22220002−2i6−i60000000000004-40-2002i3−2i32−22220002−2i6−i6000000000000-440200−2i32i3-222−22000−22−i6i6000000000000
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
χ65222222222-2-2-222-2-2-2-22-222-2-222-2-22-2-1-1-1-1-1-1-1-1-1111-1-11111-11-1-111-1-111-11000000000000000000000000000000
χ66222222222-2-2-222-2-2-2-22-222-2-2-2-222-22-1-1-1-1-1-1-1-1-1111-1-11111-11-1-11111-1-11-1000000000000000000000000000000
χ67222222222-2-2-222-2-2-2-2-22-2-22222-2-2-22-1-1-1-1-1-1-1-1-1111-1-111111-111-1-1-1-1111-1000000000000000000000000000000
χ68222222222-2-2-222-2-2-2-2-22-2-222-2-2222-2-1-1-1-1-1-1-1-1-1111-1-111111-111-1-111-1-1-11000000000000000000000000000000
χ694444-4-4444000-4-40000000000004i−4i00-2-2-2-222-2-2-200022000000000000−2i2i00000000000000000000000000000000
χ704444-4-4444000-4-4000000000000−4i4i00-2-2-2-222-2-2-2000220000000000002i−2i00000000000000000000000000000000
χ71444-244-2-2-2444-2-2-2-2-2-244-2-2-2-2000000-2-2-21-2-2111-2-2-2111111-2-21111000000000000000000000000000000000000
χ72444-244-2-2-2444-2-2-2-2-2-2-4-42222000000-2-2-21-2-2111-2-2-211111122-1-1-1-1000000000000000000000000000000000000
χ73444-244-2-2-2-4-4-4-2-222224-4-2-222000000-2-2-21-2-211122211-1-1-1-1-2211-1-1000000000000000000000000000000000000
χ74444-244-2-2-2-4-4-4-2-22222-4422-2-2000000-2-2-21-2-211122211-1-1-1-12-2-1-111000000000000000000000000000000000000
χ7544-444-4-4-4444-4-4444-4-4000000000000-2-22-2-2222-2-2-222-2-2-222000000000000000000000000000000000000000000
χ7644-444-4-4-44-4-44-44-4-444000000000000-2-22-2-2222-222-22-222-2-2000000000000000000000000000000000000000000
χ7744-44-44-4-440004-400000000004-40000-2-22-22-222-2000-220000000000-220000000000000000000000000000000000
χ7844-44-44-4-440004-40000000000-440000-2-22-22-222-2000-2200000000002-20000000000000000000000000000000000
χ7944-4-24-422-244-42-2-2-22200−2i32i3−2i32i3000000-2-221-22-1-11-2-22-1111-1-100i3−i3i3−i3000000000000000000000000000000000000
χ8044-4-24-422-244-42-2-2-222002i3−2i32i3−2i3000000-2-221-22-1-11-2-22-1111-1-100−i3i3−i3i3000000000000000000000000000000000000
χ8144-4-24-422-2-4-442-222-2-200−2i32i32i3−2i3000000-2-221-22-1-1122-2-11-1-11100i3−i3−i3i3000000000000000000000000000000000000
χ8244-4-24-422-2-4-442-222-2-2002i3−2i3−2i32i3000000-2-221-22-1-1122-2-11-1-11100−i3i3i3−i3000000000000000000000000000000000000
χ83888-4-8-8-4-4-4000440000000000000000-4-4-4244222000-2-20000000000000000000000000000000000000000000000
χ8488-8-4-8844-4000-440000000000000000-4-4424-4-2-220002-20000000000000000000000000000000000000000000000
χ858-8080000-842−4200042−4200000000000000-440-400004−2222000−222200000000000000000000000000000000000000000000
χ868-8080000-8−4242000−424200000000000000-440-40000422−2200022−2200000000000000000000000000000000000000000000
χ878-80-400−4i34i3442−42000−22222i6−2i6000000000000-4402002i3−2i3-2−22220002−2−i6i6000000000000000000000000000000000000000000
χ888-80-400−4i34i34−424200022−22−2i62i6000000000000-4402002i3−2i3-222−22000−22i6−i6000000000000000000000000000000000000000000
χ898-80-4004i3−4i3442−42000−2222−2i62i6000000000000-440200−2i32i3-2−22220002−2i6−i6000000000000000000000000000000000000000000
χ908-80-4004i3−4i34−424200022−222i6−2i6000000000000-440200−2i32i3-222−22000−22−i6i6000000000000000000000000000000000000000000

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