Finite Group Databasebeta

← Group #72220763

Character table — Group #72220763

Order 5184.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size11888899993232323236367272727272727272727272728181324324324324324324324324324324324324
order12336622223366446666121212121212121222444444444444
χ1111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-1
χ3111111111111111-111111111-1-1-1-1111-111-1-111-1-1-1-1
χ4111111111111111-111111111-1-1-1-1111-1-1-1-1-1-1-11111
χ511111111111111-111111-1-1-1-1111111-1111-1-1-1-111-1-1
χ611111111111111-111111-1-1-1-1111111-11-1-1-1-111-1-111
χ711111111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ811111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ92222222-22-22222022-22-200002222-2-20-20000000000
χ102222222-22-222220-22-22-20000-2-2-2-2-2-2020000000000
χ11222222-22-22222220-22-2222220000-2-2-200000000000
χ12222222-22-222222-20-22-22-2-2-2-20000-2-2200000000000
χ13222222-2-2-2-2222200-2-2-2-2000000002200002-2000000
χ14222222-2-2-2-2222200-2-2-2-200000000220000-22000000
χ152-222-2-222-2-222-2-20022-2-2000000002-2002-200000000
χ162-222-2-222-2-222-2-20022-2-2000000002-200-2200000000
χ172-222-2-22-2-2222-2-2002-2-2200000000-22000000002-200
χ182-222-2-22-2-2222-2-2002-2-2200000000-2200000000-2200
χ192-222-2-2-222-222-2-200-222-200000000-220000002-20000
χ202-222-2-2-222-222-2-200-222-200000000-22000000-220000
χ212-222-2-2-2-22222-2-200-2-222000000002-200000000002i−2i
χ222-222-2-2-2-22222-2-200-2-222000000002-20000000000−2i2i
χ23888-18-10808-1-1-1-1800-10-1-1-1-1-1000000000000000000
χ24888-18-10808-1-1-1-1-800-10-11111000000000000000000
χ25888-18-10-80-8-1-1-1-10001013i3i−3i−3i000000000000000000
χ26888-18-10-80-8-1-1-1-1000101−3i−3i3i3i000000000000000000
χ2788-18-188080-1-1-1-108-10-100000-1-1-1-100000000000000
χ2888-18-188080-1-1-1-10-8-10-100000111100000000000000
χ2988-18-18-80-80-1-1-1-100101000003i3i−3i−3i00000000000000
χ3088-18-18-80-80-1-1-1-10010100000−3i−3i3i3i00000000000000
χ318-88-1-81080-8-1-111000-1013i−3i3i−3i000000000000000000
χ328-88-1-81080-8-1-111000-101−3i3i−3i3i000000000000000000
χ338-88-1-810-808-1-11100010-13-3-33000000000000000000
χ348-88-1-810-808-1-11100010-1-333-3000000000000000000
χ358-8-181-880-80-1-11100-101000003i−3i3i−3i00000000000000
χ368-8-181-880-80-1-11100-10100000−3i3i−3i3i00000000000000
χ378-8-181-8-8080-1-1110010-1000003-3-3300000000000000
χ388-8-181-8-8080-1-1110010-100000-333-300000000000000
χ393232-4-4-4-400005-45-40000000000000000000000000000
χ403232-4-4-4-40000-45-450000000000000000000000000000
χ4132-32-4-44400005-4-540000000000000000000000000000
χ4232-32-4-4440000-454-50000000000000000000000000000

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