Finite Group Databasebeta

← Group #11802156

Character table — Group #11802156

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size14499914499914499914499928818181828818181828818181828818181828818181828818181841616363636416163636364161636363641616363636
order13324426624426624426624426624426624441212444412124444121244441212444266244412124444121244441212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1
χ3111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i
χ4111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii
χ541-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-2000
χ64-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-21000
χ7111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ81111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111
χ9111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii
χ10111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i
χ1141-200041-200041-200041-200041-200041-200041-200041-200041-200041-2000-4-12000-4-12000-4-12000-4-12000
χ124-210004-210004-210004-210004-210004-210004-210004-210004-210004-21000-42-1000-42-1000-42-1000-42-1000
χ13111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ141111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ15111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii111-1i−i-1-1-11−ii-1-1-11−ii111-1i−i
χ16111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i111-1−ii-1-1-11i−i-1-1-11i−i111-1−ii
χ1741-200041-200041-200041-200041-200041-2000-4-12000-4-12000-4-12000-4-1200041-2000-4-12000-4-1200041-2000
χ184-210004-210004-210004-210004-210004-21000-42-1000-42-1000-42-1000-42-10004-21000-42-1000-42-10004-21000
χ19111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ201111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ21111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i-1-1-11−ii
χ22111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii-1-1-11i−i
χ2341-200041-200041-200041-200041-200041-2000-4-12000-4-12000-4-12000-4-12000-4-1200041-200041-2000-4-12000
χ244-210004-210004-210004-210004-210004-21000-42-1000-42-1000-42-1000-42-1000-42-10004-210004-21000-42-1000
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ261111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-111
χ27111-1i−i111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii
χ28111-1−ii111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i
χ2941-200041-200041-200041-2000-4-12000-4-1200041-200041-2000-4-12000-4-1200041-200041-2000-4-12000-4-12000
χ304-210004-210004-210004-21000-42-1000-42-10004-210004-21000-42-1000-42-10004-210004-21000-42-1000-42-1000
χ31111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ321111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-1
χ33111-1i−i111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i
χ34111-1−ii111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii
χ3541-200041-200041-200041-2000-4-12000-4-1200041-200041-2000-4-12000-4-12000-4-12000-4-1200041-200041-2000
χ364-210004-210004-210004-21000-42-1000-42-10004-210004-21000-42-1000-42-1000-42-1000-42-10004-210004-21000
χ37111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ381111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ39111-1i−i111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i111-1i−i-1-1-11−ii111-1i−i-1-1-11−ii
χ40111-1−ii111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii111-1−ii-1-1-11i−i111-1−ii-1-1-11i−i
χ4141-200041-200041-200041-2000-4-12000-4-12000-4-12000-4-1200041-200041-200041-2000-4-1200041-2000-4-12000
χ424-210004-210004-210004-21000-42-1000-42-1000-42-1000-42-10004-210004-210004-21000-42-10004-21000-42-1000
χ43111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111
χ441111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1
χ45111-1i−i111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i-1-1-11−ii111-1i−i-1-1-11−ii111-1i−i
χ46111-1−ii111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii-1-1-11i−i111-1−ii-1-1-11i−i111-1−ii
χ4741-200041-200041-200041-2000-4-12000-4-12000-4-12000-4-1200041-200041-2000-4-1200041-2000-4-1200041-2000
χ484-210004-210004-210004-21000-42-1000-42-1000-42-1000-42-10004-210004-21000-42-10004-21000-42-10004-21000
χ49222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002i2i2i2i2i2i−2i−2i−2i−2i−2i−2i000000000000000000000000
χ502222-2-22222-2-2-2-2-2-222-2-2-2-2220000000000000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i2i2i000000000000000000000000
χ51222-22i−2i222-22i−2i-2-2-22−2i2i-2-2-22−2i2i0000000000000000000000002i2i2i−2i-22−2i−2i−2i2i2-2000000000000000000000000
χ52222-2−2i2i222-2−2i2i-2-2-222i−2i-2-2-222i−2i0000000000000000000000002i2i2i−2i2-2−2i−2i−2i2i-22000000000000000000000000
χ5382-400082-4000-8-24000-8-240000000000000000000000000008i2i−4i000−8i−2i4i000000000000000000000000000
χ548-420008-42000-84-2000-84-20000000000000000000000000008i−4i2i000−8i4i−2i000000000000000000000000000
χ55222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i000000000000000000000000
χ562222-2-22222-2-2-2-2-2-222-2-2-2-222000000000000000000000000−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i000000000000000000000000
χ57222-22i−2i222-22i−2i-2-2-22−2i2i-2-2-22−2i2i000000000000000000000000−2i−2i−2i2i2-22i2i2i−2i-22000000000000000000000000
χ58222-2−2i2i222-2−2i2i-2-2-222i−2i-2-2-222i−2i000000000000000000000000−2i−2i−2i2i-222i2i2i−2i2-2000000000000000000000000
χ5982-400082-4000-8-24000-8-24000000000000000000000000000−8i−2i4i0008i2i−4i000000000000000000000000000
χ608-420008-42000-84-2000-84-2000000000000000000000000000−8i4i−2i0008i−4i2i000000000000000000000000000
χ61222222-2-2-2-2-2-2222222-2-2-2-2-2-20000000000002i2i2i2i2i2i−2i−2i−2i−2i−2i−2i000000000000000000000000000000000000
χ622222-2-2-2-2-2-2222222-2-2-2-2-2-2220000000000002i2i2i2i−2i−2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ63222-22i−2i-2-2-22−2i2i222-22i−2i-2-2-22−2i2i0000000000002i2i2i−2i-22−2i−2i−2i2i2-2000000000000000000000000000000000000
χ64222-2−2i2i-2-2-222i−2i222-2−2i2i-2-2-222i−2i0000000000002i2i2i−2i2-2−2i−2i−2i2i-22000000000000000000000000000000000000
χ6582-4000-8-2400082-4000-8-240000000000000008i2i−4i000−8i−2i4i000000000000000000000000000000000000000
χ668-42000-84-20008-42000-84-20000000000000008i−4i2i000−8i4i−2i000000000000000000000000000000000000000
χ67222222-2-2-2-2-2-2222222-2-2-2-2-2-2000000000000−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i000000000000000000000000000000000000
χ682222-2-2-2-2-2-2222222-2-2-2-2-2-222000000000000−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ69222-22i−2i-2-2-22−2i2i222-22i−2i-2-2-22−2i2i000000000000−2i−2i−2i2i2-22i2i2i−2i-22000000000000000000000000000000000000
χ70222-2−2i2i-2-2-222i−2i222-2−2i2i-2-2-222i−2i000000000000−2i−2i−2i2i-222i2i2i−2i2-2000000000000000000000000000000000000
χ7182-4000-8-2400082-4000-8-24000000000000000−8i−2i4i0008i2i−4i000000000000000000000000000000000000000
χ728-42000-84-20008-42000-84-2000000000000000−8i4i−2i0008i−4i2i000000000000000000000000000000000000000
χ73222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ742222-2-2-2-2-2-222-2-2-2-2222222-2-22222-2-2-2-2-2-222000000000000000000000000000000000000000000000000
χ75222-22i−2i-2-2-22−2i2i-2-2-22−2i2i222-22i−2i222-22i−2i-2-2-22−2i2i000000000000000000000000000000000000000000000000
χ76222-2−2i2i-2-2-222i−2i-2-2-222i−2i222-2−2i2i222-2−2i2i-2-2-222i−2i000000000000000000000000000000000000000000000000
χ7782-4000-8-24000-8-2400082-400082-4000-8-24000000000000000000000000000000000000000000000000000
χ788-42000-84-2000-84-20008-420008-42000-84-2000000000000000000000000000000000000000000000000000
χ79222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2222222000000000000000000000000000000000000000000000000
χ802222-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2222222-2-2000000000000000000000000000000000000000000000000
χ81222-22i−2i-2-2-22−2i2i-2-2-22−2i2i222-22i−2i-2-2-22−2i2i222-22i−2i000000000000000000000000000000000000000000000000
χ82222-2−2i2i-2-2-222i−2i-2-2-222i−2i222-2−2i2i-2-2-222i−2i222-2−2i2i000000000000000000000000000000000000000000000000
χ8382-4000-8-24000-8-2400082-4000-8-2400082-4000000000000000000000000000000000000000000000000000
χ848-42000-84-2000-84-20008-42000-84-20008-42000000000000000000000000000000000000000000000000000

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