Finite Group Databasebeta

← Group #10831104

Character table — Group #10831104

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222222244444444444444448888888888881212121212121212161616161616161616161616242424242424242424242424
order1244222344468888121222446668812121224242424668812122424242424242244888844441212121212121212222244444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-11111-1-111-1-111-1-1-1-1
χ7111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111
χ8111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11111
χ9111111111111-1-1-1-1111111111-1-1111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-11-11-11-11-111-1-1
χ10111111111111-1-1-1-1111111111-1-1111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-11-11-11-1111-1-1
χ11111111111111-1-1-1-1111111111-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-11-11-11-11-1-111
χ12111111111111-1-1-1-1111111111-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-1111-11-11-11-1-1-111
χ13111111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1111-1-111-1-11-1-111
χ14111111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-111-1-111-1-1-111
χ15111111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111-111-1-111-111-1-1
χ16111111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-11-1-111-1-1111-1-1
χ172222222-1222-12222-1-12222-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1000000000000
χ182222222-1222-12222-1-12222-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000-2-2-2-211111111000000000000
χ192222222-1222-12222-1-1-2-2-2-2-1-1-122-1-1-1-1-1-1-111-2-211-1-111110000000022-2-2-1-1-1-11111000000000000
χ202222222-1222-12222-1-1-2-2-2-2-1-1-122-1-1-1-1-1-1-111-2-211-1-1111100000000-2-2221111-1-1-1-1000000000000
χ212222222-1222-1-2-2-2-2-1-12222-1-1-1-2-2-1-1-11111-1-1-2-2-1-1111111000000002-22-2-1-111-1-111000000000000
χ222222222-1222-1-2-2-2-2-1-12222-1-1-1-2-2-1-1-11111-1-1-2-2-1-111111100000000-22-2211-1-111-1-1000000000000
χ232222222-1222-1-2-2-2-2-1-1-2-2-2-2-1-1-1-2-2-1-1-1111111221111-1-1-1-1000000002-2-22-1-11111-1-1000000000000
χ242222222-1222-1-2-2-2-2-1-1-2-2-2-2-1-1-1-2-2-1-1-1111111221111-1-1-1-100000000-222-211-1-1-1-111000000000000
χ252222-2-222-2-2222222222-22-22-2-2-2-2-2-2222222-22-22-2-2-222-2-200000000000000000000000000000000
χ262222-2-222-2-222222222-22-222-2-2-2-2-2-222222-22-22-22-2-2-2-22200000000000000000000000000000000
χ272222-2-222-2-222-2-2-2-2222-22-22-2-222-2-22-2-2-2-22-2-222-222-2-22200000000000000000000000000000000
χ282222-2-222-2-222-2-2-2-222-22-222-2-222-2-22-2-2-2-2-222-2-222222-2-200000000000000000000000000000000
χ292222-2-22-1-2-22-12222-1-12-22-2-111-2-211-1-1-1-1-1-112-2-1111-1-1110000000000003−33−33−33−3000000000000
χ302222-2-22-1-2-22-12222-1-12-22-2-111-2-211-1-1-1-1-1-112-2-1111-1-111000000000000−33−33−33−33000000000000
χ312222-2-22-1-2-22-12222-1-1-22-22-111-2-211-1-1-1-1-11-1-221-11111-1-10000000000003−33−3−33−33000000000000
χ322222-2-22-1-2-22-12222-1-1-22-22-111-2-211-1-1-1-1-11-1-221-11111-1-1000000000000−33−333−33−3000000000000
χ332222-2-22-1-2-22-1-2-2-2-2-1-12-22-2-1112211-11111-11-22-11-1-111-1-10000000000003−3−333−3−33000000000000
χ342222-2-22-1-2-22-1-2-2-2-2-1-12-22-2-1112211-11111-11-22-11-1-111-1-1000000000000−333−3−333−3000000000000
χ352222-2-22-1-2-22-1-2-2-2-2-1-1-22-22-1112211-111111-12-21-1-1-1-1-1110000000000003−3−33−333−3000000000000
χ362222-2-22-1-2-22-1-2-2-2-2-1-1-22-22-1112211-111111-12-21-1-1-1-1-111000000000000−333−33−3−33000000000000
χ3722-2-22222-2-2-220000-2-22-2-2222200-2-2-200002-200-2200000022-2-20000000000000000000000002-200
χ3822-2-22222-2-2-220000-2-22-2-2222200-2-2-200002-200-22000000-2-222000000000000000000000000-2200
χ3922-2-22222-2-2-220000-2-2-222-222200-2-2-20000-22002-200000022-2-2000000000000000000000000-2200
χ4022-2-22222-2-2-220000-2-2-222-222200-2-2-20000-22002-2000000-2-2220000000000000000000000002-200
χ4122-2-22-2-222-22222-2-2-2-20000-22-22-22-2222-2-20000002-20000000000000000000000002200-2-2000000
χ4222-2-22-2-222-22222-2-2-2-20000-22-22-22-2222-2-20000002-2000000000000000000000000-2-20022000000
χ4322-2-22-2-222-222-2-222-2-20000-22-2-222-22-2-222000000-220000000000000000000000002-200-22000000
χ4422-2-22-2-222-222-2-222-2-20000-22-2-222-22-2-222000000-22000000000000000000000000-22002-2000000
χ4522-2-2-22-22-222222-2-2-2-20000-2-22-22-22222-2-2000000-22000000000000000000000000002200-2-20000
χ4622-2-2-22-22-222222-2-2-2-20000-2-22-22-22222-2-2000000-2200000000000000000000000000-2-200220000
χ4722-2-2-22-22-2222-2-222-2-20000-2-222-2-222-2-2220000002-2000000000000000000000000002-200-220000
χ4822-2-2-22-22-2222-2-222-2-20000-2-222-2-222-2-2220000002-200000000000000000000000000-22002-20000
χ4922-2-2-2-22222-220000-2-222-2-22-2-20022-200002200-2-200000000002i2i−2i−2i00000000000000000000002i−2i
χ5022-2-2-2-22222-220000-2-222-2-22-2-20022-200002200-2-20000000000−2i−2i2i2i0000000000000000000000−2i2i
χ5122-2-2-2-22222-220000-2-2-2-2222-2-20022-20000-2-2002200000000002i2i−2i−2i0000000000000000000000−2i2i
χ5222-2-2-2-22222-220000-2-2-2-2222-2-20022-20000-2-200220000000000−2i−2i2i2i00000000000000000000002i−2i
χ5344444-4-44-44-440000440000-44-400-44-4000000000000000000000000000000000000000000000000
χ5444444-4-4-2-44-4-20000-2-200002-22002-2200000000000023−2323−2300000000000000000000000000000000
χ5544444-4-4-2-44-4-20000-2-200002-22002-22000000000000−2323−232300000000000000000000000000000000
χ564444-44-444-4-440000440000-4-44004-4-4000000000000000000000000000000000000000000000000
χ574444-44-4-24-4-4-20000-2-2000022-200-22200000000000023−23−232300000000000000000000000000000000
χ584444-44-4-24-4-4-20000-2-2000022-200-222000000000000−232323−2300000000000000000000000000000000
χ5944-4-4444-2-4-4-4-20000224-4-44-2-2-2002220000-22002-200000000000000000000000000000000000000
χ6044-4-4444-2-4-4-4-2000022-444-4-2-2-20022200002-200-2200000000000000000000000000000000000000
χ6144-4-44-4-4-24-44-244-4-42200002-224-4-22-2-2-222000000-22000000000000000000000000000000000000
χ6244-4-44-4-4-24-44-2-4-4442200002-22-44-22-222-2-20000002-2000000000000000000000000000000000000
χ6344-4-4-44-4-2-444-244-4-422000022-2-442-2-2-2-2220000002-2000000000000000000000000000000000000
χ6444-4-4-44-4-2-444-2-4-44422000022-24-42-2-222-2-2000000-22000000000000000000000000000000000000
χ6544-4-4-4-44-244-4-200002244-4-4-22200-2-220000-2-2002200000000000000000000000000000000000000
χ6644-4-4-4-44-244-4-2000022-4-444-22200-2-2200002200-2-200000000000000000000000000000000000000
χ674-44i−4i0004000-422−22−2i22i24i−4i00000000000022−22−2i22i20000000000002-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000
χ684-44i−4i0004000-422−22−2i22i24i−4i00000000000022−22−2i22i2000000000000-22−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000
χ694-44i−4i0004000-4−22222i2−2i24i−4i000000000000−22222i2−2i20000000000002-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000
χ704-44i−4i0004000-4−22222i2−2i24i−4i000000000000−22222i2−2i2000000000000-22−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000
χ714-4−4i4i0004000-422−222i2−2i2−4i4i00000000000022−222i2−2i20000000000002-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000
χ724-4−4i4i0004000-422−222i2−2i2−4i4i00000000000022−222i2−2i2000000000000-222i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000
χ734-4−4i4i0004000-4−2222−2i22i2−4i4i000000000000−2222−2i22i20000000000002-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000
χ744-4−4i4i0004000-4−2222−2i22i2−4i4i000000000000−2222−2i22i2000000000000-222i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000
χ758-88i−8i000-4000442−42−4i24i2−4i4i000000000000−22222i2−2i200000000000000000000000000000000000000000000
χ768-88i−8i000-40004−42424i2−4i2−4i4i00000000000022−22−2i22i200000000000000000000000000000000000000000000
χ778-8−8i8i000-4000442−424i2−4i24i−4i000000000000−2222−2i22i200000000000000000000000000000000000000000000
χ788-8−8i8i000-40004−4242−4i24i24i−4i00000000000022−222i2−2i200000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.