Finite Group Databasebeta

← Group #72262606

Character table — Group #72262606

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111122222244448888888888881616161616161616161616161616161616161616161616161616161632323232323264646464
order1222222222444422224444444422244444444444444444444444444488884488
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1111-1-1111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1111111111-1-111111-1-111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-111
χ711111111111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11111-1-111
χ811111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111-11111111-1-1
χ91111111111-1-111-1-1111-1111111-11-111-1-111-11-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-11-1
χ101111111111-1-111-1-1111-1111111-11-111-1-1-1-1-11-111-1-111-1-1111111-1-1-1-111-1-1-11-11
χ111111111111-1-111-1-1111-1111111-1-11-1-11111-1-11-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-11-11
χ121111111111-1-111-1-1111-1111111-1-11-1-111-1-1-1-1111-1-111-1-1111111-1-1-1-1-1-1111-11-1
χ131111111111-1-111-1-1111-1-1-1-1-111-11-111-1-111-11-111111111-1-1-1-1-1-1-1-11-1-1-1111-1-11
χ141111111111-1-111-1-1111-1-1-1-1-111-11-111-1-1-1-1-11-1-1-111-1-11111-1-11111-11-1-111-111-1
χ151111111111-1-111-1-1111-1-1-1-1-111-1-11-1-11111-1-1111111111-1-1-1-1-1-1-1-11-111-1-1-111-1
χ161111111111-1-111-1-1111-1-1-1-1-111-1-11-1-111-1-1-1-11-1-111-1-11111-1-11111-1111-1-11-1-11
χ172222222222222222-2-2222222-2-2-200000000-20000-2-2002200-2-200000000000000
χ182222222222222222-2-222-2-2-2-2-2-2-200000000-200002200-2-2002200000000000000
χ19222222222222-2-2-2-222-220000-2-2200000022-200000000002200-2-200-2000000000
χ20222222222222-2-2-2-222-220000-2-22000000-2-2-20000000000-2-20022002000000000
χ21222222222222-2-2-2-2-2-2-22000022-2000000002002200-2-200000000-2-20200000000
χ22222222222222-2-2-2-2-2-2-22000022-200000000200-2-2002200000000220-200000000
χ232222222222-2-222-2-2-2-22-22222-2-2200000000200002200-2-200-2-200000000000000
χ242222222222-2-222-2-2-2-22-2-2-2-2-2-2-220000000020000-2-20022002200000000000000
χ252222222222-2-2-2-22222-2-20000-2-2-20000002220000000000-2-2002200-2000000000
χ262222222222-2-2-2-22222-2-20000-2-2-2000000-2-2200000000002200-2-2002000000000
χ272222222222-2-2-2-222-2-2-2-2000022200000000-2002200-2-200000000220-200000000
χ282222222222-2-2-2-222-2-2-2-2000022200000000-200-2-2002200000000-2-20200000000
χ29222222-2-2-2-200-2-2002-2202i2i−2i−2i2-2002002-20000-200000000002i−2i000000002i−2i0000
χ30222222-2-2-2-200-2-2002-2202i2i−2i−2i2-200-200-220000200000000002i−2i00000000−2i2i0000
χ31222222-2-2-2-200-2-2002-220−2i−2i2i2i2-2002002-20000-20000000000−2i2i00000000−2i2i0000
χ32222222-2-2-2-200-2-2002-220−2i−2i2i2i2-200-200-22000020000000000−2i2i000000002i−2i0000
χ33222222-2-2-2-200-2-200-22202i2i−2i−2i-220202-200000-200000000000−2i2i0000002i−2i000000
χ34222222-2-2-2-200-2-200-22202i2i−2i−2i-220-20-2200000200000000000−2i2i000000−2i2i000000
χ35222222-2-2-2-200-2-200-2220−2i−2i2i2i-220202-200000-2000000000002i−2i000000−2i2i000000
χ36222222-2-2-2-200-2-200-2220−2i−2i2i2i-220-20-22000002000000000002i−2i0000002i−2i000000
χ37444444-4-4-4-40044004-4-400000-4400000000000000000000000000000000000000
χ38444444-4-4-4-4004400-44-4000004-400000000000000000000000000000000000000
χ394444-4-44-4-4400004-40000000000022-2-2-2-20002200000000000000000000000000
χ404444-4-44-4-4400004-400000000000-2-22222000-2-200000000000000000000000000
χ414444-4-44-4-440000-44000000000002-2-2-2220002-200000000000000000000000000
χ424444-4-44-4-440000-4400000000000-2222-2-2000-2200000000000000000000000000
χ434444-4-4-444-4440000000-4000000022-22-22000-2-200000000000000000000000000
χ444444-4-4-444-4440000000-40000000-2-22-22-20002200000000000000000000000000
χ454444-4-4-444-4-4-40000000400000002-2-222-2000-2200000000000000000000000000
χ464444-4-4-444-4-4-4000000040000000-222-2-220002-200000000000000000000000000
χ4744-4-40004-404-4000000002-22-20000000002i−2i00000002i−2i2-22i−2i00002i−2i0000000000
χ4844-4-40004-404-4000000002-22-2000000000−2i2i0000000−2i2i2-2−2i2i0000−2i2i0000000000
χ4944-4-40004-404-400000000-22-220000000002i−2i0000000−2i2i-222i−2i0000−2i2i0000000000
χ5044-4-40004-404-400000000-22-22000000000−2i2i00000002i−2i-22−2i2i00002i−2i0000000000
χ5144-4-40004-40-44000000002-22-20000000002i−2i0000000−2i2i-22−2i2i00002i−2i0000000000
χ5244-4-40004-40-44000000002-22-2000000000−2i2i00000002i−2i-222i−2i0000−2i2i0000000000
χ5344-4-40004-40-4400000000-22-220000000002i−2i00000002i−2i2-2−2i2i0000−2i2i0000000000
χ5444-4-40004-40-4400000000-22-22000000000−2i2i0000000−2i2i2-22i−2i00002i−2i0000000000
χ5588-8-8000-88000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ5688-8-8000-8800000000000−4i4i4i−4i0000000000000000000000000000000000000000
χ578-88-88-800000000000000000000000000000000004i−4i0000000000000000000000
χ588-88-88-80000000000000000000000000000000000−4i4i0000000000000000000000
χ598-88-8-880000008i−8i00000000000000000000000000000000000000000000000000
χ608-88-8-88000000−8i8i00000000000000000000000000000000000000000000000000
χ618-8-8800800-800000000000000000000000000000000000000004i−4i000000000000
χ628-8-8800800-80000000000000000000000000000000000000000−4i4i000000000000
χ638-8-8800-800800000000000000000000000000004-4000000000000000000000000
χ648-8-8800-80080000000000000000000000000000-44000000000000000000000000

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