Finite Group Databasebeta

← Group #11724621

Character table — Group #11724621

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size122244444999181818122244444999181818244488888181818363636244488888181818363636244488888181818363636
order13333333322266626666666622266626666666622266626666666622266641212121212121212444121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-11-1-11111111111-1-11-1-11111111111-1-11-1-11111111111-1-11-1-11111111111-1-11-1-1
χ3111111111-11-1-11-1111111111-11-1-11-1111111111-11-1-11-1111111111-11-1-11-1111111111-11-1-11-1
χ4111111111-1-11-1-11111111111-1-11-1-11111111111-1-11-1-11111111111-1-11-1-11111111111-1-11-1-11
χ5222-12-1-1-1-100200-1222-12-1-1-1-100200-1222-12-1-1-1-100200-1222-12-1-1-1-100200-1222-12-1-1-1-100200-1
χ6222-12-1-1-1-100-2001222-12-1-1-1-100-2001222-12-1-1-1-100-2001222-12-1-1-1-100-2001222-12-1-1-1-100-2001
χ722-12-12-1-1-10200-1022-12-12-1-1-10200-1022-12-12-1-1-10200-1022-12-12-1-1-10200-1022-12-12-1-1-10200-10
χ822-12-12-1-1-10-2001022-12-12-1-1-10-2001022-12-12-1-1-10-2001022-12-12-1-1-10-2001022-12-12-1-1-10-20010
χ92-122-1-12-1-1200-1002-122-1-12-1-1200-1002-122-1-12-1-1200-1002-122-1-12-1-1200-1002-122-1-12-1-1200-100
χ102-122-1-12-1-1-2001002-122-1-12-1-1-2001002-122-1-12-1-1-2001002-122-1-12-1-1-2001002-122-1-12-1-1-200100
χ1144-2-2-2-211100000044-2-2-2-211100000044-2-2-2-211100000044-2-2-2-211100000044-2-2-2-2111000000
χ124-24-2-21-2110000004-24-2-21-2110000004-24-2-21-2110000004-24-2-21-2110000004-24-2-21-211000000
χ134-2-241-2-2110000004-2-241-2-2110000004-2-241-2-2110000004-2-241-2-2110000004-2-241-2-211000000
χ144-2-2-2111−1+3i32−1−3i320000004-2-2-2111−1+3i32−1−3i320000004-2-2-2111−1+3i32−1−3i320000004-2-2-2111−1+3i32−1−3i320000004-2-2-2111−1+3i32−1−3i32000000
χ154-2-2-2111−1−3i32−1+3i320000004-2-2-2111−1−3i32−1+3i320000004-2-2-2111−1−3i32−1+3i320000004-2-2-2111−1−3i32−1+3i320000004-2-2-2111−1−3i32−1+3i32000000
χ16111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ171111111111-1-11-1-11111111111-1-11-1-11111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111-111
χ18111111111-11-1-11-1111111111-11-1-11-1111111111-11-1-11-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1-1-1-1-1-11-111-11
χ19111111111-1-11-1-11111111111-1-11-1-11111111111-1-11-1-11-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111-111-1
χ20222-12-1-1-1-100200-1222-12-1-1-1-100200-1222-12-1-1-1-100200-1-2-2-21-2111100-2001-2-2-21-2111100-2001
χ21222-12-1-1-1-100-2001222-12-1-1-1-100-2001222-12-1-1-1-100-2001-2-2-21-2111100200-1-2-2-21-2111100200-1
χ2222-12-12-1-1-10200-1022-12-12-1-1-10200-1022-12-12-1-1-10200-10-2-21-21-21110-20010-2-21-21-21110-20010
χ2322-12-12-1-1-10-2001022-12-12-1-1-10-2001022-12-12-1-1-10-20010-2-21-21-21110200-10-2-21-21-21110200-10
χ242-122-1-12-1-1200-1002-122-1-12-1-1200-1002-122-1-12-1-1200-100-21-2-211-211-200100-21-2-211-211-200100
χ252-122-1-12-1-1-2001002-122-1-12-1-1-2001002-122-1-12-1-1-200100-21-2-211-211200-100-21-2-211-211200-100
χ2644-2-2-2-211100000044-2-2-2-211100000044-2-2-2-2111000000-4-42222-1-1-1000000-4-42222-1-1-1000000
χ274-24-2-21-2110000004-24-2-21-2110000004-24-2-21-211000000-42-422-12-1-1000000-42-422-12-1-1000000
χ284-2-241-2-2110000004-2-241-2-2110000004-2-241-2-211000000-422-4-122-1-1000000-422-4-122-1-1000000
χ294-2-2-2111−1+3i32−1−3i320000004-2-2-2111−1+3i32−1−3i320000004-2-2-2111−1+3i32−1−3i32000000-4222-1-1-11−3i321+3i32000000-4222-1-1-11−3i321+3i32000000
χ304-2-2-2111−1−3i32−1+3i320000004-2-2-2111−1−3i32−1+3i320000004-2-2-2111−1−3i32−1+3i32000000-4222-1-1-11+3i321−3i32000000-4222-1-1-11+3i321−3i32000000
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ321111111111-1-11-1-11111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-111
χ33111111111-11-1-11-1111111111-11-1-11-1-1-1-1-1-1-1-1-1-11-111-11111111111-11-1-11-1-1-1-1-1-1-1-1-1-11-111-11
χ34111111111-1-11-1-11111111111-1-11-1-11-1-1-1-1-1-1-1-1-111-111-1111111111-1-11-1-11-1-1-1-1-1-1-1-1-111-111-1
χ35222-12-1-1-1-100200-1222-12-1-1-1-100200-1-2-2-21-2111100-2001222-12-1-1-1-100200-1-2-2-21-2111100-2001
χ36222-12-1-1-1-100-2001222-12-1-1-1-100-2001-2-2-21-2111100200-1222-12-1-1-1-100-2001-2-2-21-2111100200-1
χ3722-12-12-1-1-10200-1022-12-12-1-1-10200-10-2-21-21-21110-2001022-12-12-1-1-10200-10-2-21-21-21110-20010
χ3822-12-12-1-1-10-2001022-12-12-1-1-10-20010-2-21-21-21110200-1022-12-12-1-1-10-20010-2-21-21-21110200-10
χ392-122-1-12-1-1200-1002-122-1-12-1-1200-100-21-2-211-211-2001002-122-1-12-1-1200-100-21-2-211-211-200100
χ402-122-1-12-1-1-2001002-122-1-12-1-1-200100-21-2-211-211200-1002-122-1-12-1-1-200100-21-2-211-211200-100
χ4144-2-2-2-211100000044-2-2-2-2111000000-4-42222-1-1-100000044-2-2-2-2111000000-4-42222-1-1-1000000
χ424-24-2-21-2110000004-24-2-21-211000000-42-422-12-1-10000004-24-2-21-211000000-42-422-12-1-1000000
χ434-2-241-2-2110000004-2-241-2-211000000-422-4-122-1-10000004-2-241-2-211000000-422-4-122-1-1000000
χ444-2-2-2111−1+3i32−1−3i320000004-2-2-2111−1+3i32−1−3i32000000-4222-1-1-11−3i321+3i320000004-2-2-2111−1+3i32−1−3i32000000-4222-1-1-11−3i321+3i32000000
χ454-2-2-2111−1−3i32−1+3i320000004-2-2-2111−1−3i32−1+3i32000000-4222-1-1-11+3i321−3i320000004-2-2-2111−1−3i32−1+3i32000000-4222-1-1-11+3i321−3i32000000
χ46111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111
χ471111111111-1-11-1-11111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111-1111111111111-1-11-1-1
χ48111111111-11-1-11-1111111111-11-1-11-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1-1-1-1-1-11-111-11111111111-11-1-11-1
χ49111111111-1-11-1-11111111111-1-11-1-11-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111-111-1111111111-1-11-1-11
χ50222-12-1-1-1-100200-1222-12-1-1-1-100200-1-2-2-21-2111100-2001-2-2-21-2111100-2001222-12-1-1-1-100200-1
χ51222-12-1-1-1-100-2001222-12-1-1-1-100-2001-2-2-21-2111100200-1-2-2-21-2111100200-1222-12-1-1-1-100-2001
χ5222-12-12-1-1-10200-1022-12-12-1-1-10200-10-2-21-21-21110-20010-2-21-21-21110-2001022-12-12-1-1-10200-10
χ5322-12-12-1-1-10-2001022-12-12-1-1-10-20010-2-21-21-21110200-10-2-21-21-21110200-1022-12-12-1-1-10-20010
χ542-122-1-12-1-1200-1002-122-1-12-1-1200-100-21-2-211-211-200100-21-2-211-211-2001002-122-1-12-1-1200-100
χ552-122-1-12-1-1-2001002-122-1-12-1-1-200100-21-2-211-211200-100-21-2-211-211200-1002-122-1-12-1-1-200100
χ5644-2-2-2-211100000044-2-2-2-2111000000-4-42222-1-1-1000000-4-42222-1-1-100000044-2-2-2-2111000000
χ574-24-2-21-2110000004-24-2-21-211000000-42-422-12-1-1000000-42-422-12-1-10000004-24-2-21-211000000
χ584-2-241-2-2110000004-2-241-2-211000000-422-4-122-1-1000000-422-4-122-1-10000004-2-241-2-211000000
χ594-2-2-2111−1+3i32−1−3i320000004-2-2-2111−1+3i32−1−3i32000000-4222-1-1-11−3i321+3i32000000-4222-1-1-11−3i321+3i320000004-2-2-2111−1+3i32−1−3i32000000
χ604-2-2-2111−1−3i32−1+3i320000004-2-2-2111−1−3i32−1+3i32000000-4222-1-1-11+3i321−3i32000000-4222-1-1-11+3i321−3i320000004-2-2-2111−1−3i32−1+3i32000000
χ61222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000
χ622222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-222-222000000000000000000000000000000000000000000000
χ63222222222-22-2-22-2-2-2-2-2-2-2-2-2-22-222-22000000000000000000000000000000000000000000000
χ64222222222-2-22-2-22-2-2-2-2-2-2-2-2-222-222-2000000000000000000000000000000000000000000000
χ65444-24-2-2-2-200400-2-4-4-42-4222200-4002000000000000000000000000000000000000000000000
χ66444-24-2-2-2-200-4002-4-4-42-4222200400-2000000000000000000000000000000000000000000000
χ6744-24-24-2-2-20400-20-4-42-42-42220-40020000000000000000000000000000000000000000000000
χ6844-24-24-2-2-20-40020-4-42-42-42220400-20000000000000000000000000000000000000000000000
χ694-244-2-24-2-2400-200-42-4-422-422-400200000000000000000000000000000000000000000000000
χ704-244-2-24-2-2-400200-42-4-422-422400-200000000000000000000000000000000000000000000000
χ7188-4-4-4-4222000000-8-84444-2-2-2000000000000000000000000000000000000000000000000000
χ728-48-4-42-422000000-84-844-24-2-2000000000000000000000000000000000000000000000000000
χ738-4-482-4-422000000-844-8-244-2-2000000000000000000000000000000000000000000000000000
χ748-4-4-4222−1+3i3−1−3i3000000-8444-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000
χ758-4-4-4222−1−3i3−1+3i3000000-8444-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000

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