Finite Group Databasebeta

← Group #72266324

Character table — Group #72266324

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79
size11112222444444444444444448888888888888888888888888816161616161616161616161616161616161632323232323264646464
order1222222222222222244444444222222224444444444444444442244444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-11111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11-1-1-1-1-1-11111-1-11111-1-111
χ711111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ911111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-11111-11-111-11-111-1-111-1-1-1-111-1-11-11-1
χ1011111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-111-1-1-11-1-1-1-11-111-1-111-1-111-1-111-11-11
χ1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1111-1-1111-1-1-1-111-1-111-1-1-11-11
χ1211111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1111-11-1
χ1311111111111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1111-1-11-1-11111-1-1-1-1-1-1111-1-11
χ1411111111111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11-1-1-1-11-1-11111-1-11111-1-1-111-1
χ1511111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-11111-11-111-11-1-1-111-1-111-1-1-1-111-111-1
χ1611111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-11-1-1-1-11-1-1-111-1-1111111-1-11-1-11
χ172222222222222222222222222220000-2-20000222200000000-2-200-20000-200-2-2-2-200000000000000
χ1822222222222222222-2-2-2-2-2-2-2-2220000-2-20000-2-2-2-200000000-2-200-20000-200222200000000000000
χ1922222222222-2-2-2-2222222-2-2-2-2-2-20000-2-2000022-2-200000000-2-20020000200-2-22200000000000000
χ2022222222222-2-2-2-222-2-2-2-22222-2-20000-2-20000-2-22200000000-2-2002000020022-2-200000000000000
χ21222222222-2-22222-2-200000000-2-20000-2-200000000222222222200-2-2-2002-2-2000000000000000000
χ22222222222-2-22222-2-200000000-2-20000-2-200000000-2-2-2-2-2-2-2-22200-22200222000000000000000000
χ23222222222-2-22222-2-200000000-2-22222222222000000000000-2-20020000-2000000-2-2-2-20000000000
χ24222222222-2-22222-2-200000000-2-2-2-2-2-222-2-2-2-2000000000000-2-20020000-200000022220000000000
χ25222222222-2-2-2-2-2-2-2-200000000220000-2-2000000002222-2-2-2-222002-2200-2-22000000000000000000
χ26222222222-2-2-2-2-2-2-2-200000000220000-2-200000000-2-2-2-22222220022-200-22-2000000000000000000
χ27222222222-2-2-2-2-2-2-2-2000000002222-2-22222-2-2000000000000-2-200-200002000000-2-2220000000000
χ28222222222-2-2-2-2-2-2-2-20000000022-2-22222-2-222000000000000-2-200-20000200000022-2-20000000000
χ292222-2-222-22-200002-2000022220000222-200-2-200-2-222-2-200002-2000-2000020002-2002-20000000000
χ302222-2-222-22-200002-2000022220000-2-22-2002200-2-2-2-22200002-200020000-20002-200-220000000000
χ312222-2-222-22-200002-200002222002200-22-2-20000-2-2000022-2-2-220000-20000200-222-2000000000000
χ322222-2-222-22-200002-20000222200-2-200-22220000-2-20000-2-222-22000020000-200-22-22000000000000
χ332222-2-222-22-200002-20000-2-2-2-20000222-200-2-20022-2-22200002-200020000-2000-22002-20000000000
χ342222-2-222-22-200002-20000-2-2-2-20000-2-22-20022002222-2-200002-2000-200002000-2200-220000000000
χ352222-2-222-22-200002-20000-2-2-2-2002200-22-2-20000220000-2-222-22000020000-2002-22-2000000000000
χ362222-2-222-22-200002-20000-2-2-2-200-2-200-2222000022000022-2-2-220000-200002002-2-22000000000000
χ372222-2-222-2-220000-22222200000000222-200-2-2-2-2000000-2-222-220000-2000022-20000-220000000000
χ382222-2-222-2-220000-22222200000000-2-22-20022-2-200000022-2-2-22000020000-22-200002-20000000000
χ392222-2-222-2-220000-2222220000002200-22-2-200-2-200-2-22200002-2000-2000020-2200-22000000000000
χ402222-2-222-2-220000-222222000000-2-200-222200-2-20022-2-200002-200020000-20-22002-2000000000000
χ412222-2-222-2-220000-22-2-2-2-200000000222-200-2-22200000022-2-2-22000020000-2-220000-220000000000
χ422222-2-222-2-220000-22-2-2-2-200000000-2-22-2002222000000-2-222-220000-200002-2200002-20000000000
χ432222-2-222-2-220000-22-2-2-2-20000002200-22-2-200220022-2-200002-200020000-202-200-22000000000000
χ442222-2-222-2-220000-22-2-2-2-2000000-2-200-2222002200-2-22200002-2000-20000202-2002-2000000000000
χ45444444-4-4-40044-4-400000000000000000000000000000000000022000-2-2000000000002-200000000
χ46444444-4-4-40044-4-4000000000000000000000000000000000000-2-20002200000000000-2200000000
χ47444444-4-4-400-4-44400000000000000000000000000000000000022000-2-200000000000-2200000000
χ48444444-4-4-400-4-444000000000000000000000000000000000000-2-200022000000000002-200000000
χ4944-4-44-400000004-4002i2i−2i−2i2i2i−2i−2i002-22-2002-22-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ5044-4-44-400000004-4002i2i−2i−2i2i2i−2i−2i00-22-2200-22-222i−2i2i−2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ5144-4-44-400000004-400−2i−2i2i2i−2i−2i2i2i002-22-2002-22-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ5244-4-44-400000004-400−2i−2i2i2i−2i−2i2i2i00-22-2200-22-22−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ5344-4-44-40000000-44002i2i−2i−2i−2i−2i2i2i002-2-22002-2-222i−2i−2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ5444-4-44-40000000-44002i2i−2i−2i−2i−2i2i2i00-222-200-222-22i−2i−2i2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ5544-4-44-40000000-4400−2i−2i2i2i2i2i−2i−2i002-2-22002-2-22−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ5644-4-44-40000000-4400−2i−2i2i2i2i2i−2i−2i00-222-200-222-2−2i2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ5744-4-4-44000004-400002i2i−2i−2i2i2i−2i−2i002-2-2200-222-2−2i2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ5844-4-4-44000004-400002i2i−2i−2i2i2i−2i−2i00-222-2002-2-22−2i2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ5944-4-4-44000004-40000−2i−2i2i2i−2i−2i2i2i002-2-2200-222-22i−2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ6044-4-4-44000004-40000−2i−2i2i2i−2i−2i2i2i00-222-2002-2-222i−2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ6144-4-4-4400000-4400002i2i−2i−2i−2i−2i2i2i002-22-200-22-22−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ6244-4-4-4400000-4400002i2i−2i−2i−2i−2i2i2i00-22-22002-22-2−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ6344-4-4-4400000-440000−2i−2i2i2i2i2i−2i−2i002-22-200-22-222i−2i−2i2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ6444-4-4-4400000-440000−2i−2i2i2i2i2i−2i−2i00-22-22002-22-22i−2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ654-44-4004-400400000-44i−4i4i−4i0000000000000000000000000000002-20002-200000000000002i−2i000000
χ664-44-4004-400400000-44i−4i4i−4i000000000000000000000000000000-22000-220000000000000−2i2i000000
χ674-44-4004-400400000-4−4i4i−4i4i0000000000000000000000000000002-20002-20000000000000−2i2i000000
χ684-44-4004-400400000-4−4i4i−4i4i000000000000000000000000000000-22000-2200000000000002i−2i000000
χ694-44-400-440400000-4000004i−4i4i−4i000000000000000000000000002-2000-220000000000000002i−2i0000
χ704-44-400-440400000-4000004i−4i4i−4i00000000000000000000000000-220002-2000000000000000−2i2i0000
χ714-44-400-440400000-400000−4i4i−4i4i000000000000000000000000002-2000-22000000000000000−2i2i0000
χ724-44-400-440400000-400000−4i4i−4i4i00000000000000000000000000-220002-20000000000000002i−2i0000
χ738888-8-8-8-880000000000000000000000000000000000000000000000000000000000000000000000
χ748-88-8008-800-800000800000000000000000000000000000000000000000000000000000000000000
χ758-88-800-880-8000008000000000000000000000000000000000000000000000000000000000000000
χ768-8-8800000000000004-4-444-4-444-40000000000000000000000000000000000000000000000000000
χ778-8-8800000000000004-4-44-444-4-440000000000000000000000000000000000000000000000000000
χ788-8-880000000000000-444-44-4-44-440000000000000000000000000000000000000000000000000000
χ798-8-880000000000000-444-4-444-44-40000000000000000000000000000000000000000000000000000

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