Finite Group Databasebeta

← Group #14512613

Character table — Group #14512613

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11112222222244444668888101012121212121212121212121212161616161616161616161616161616161616202424242424242424242424242424242424246060606080808080120120120
order1222551010101010104202020204436664444488202020202020202012121515303030303030606060606060606044820202020202020204040404040404040228812121212448
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1
χ311111111111111111111111-1-11111111111111111111111111111111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-11-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ5111111111111-1-1-1-1-111111111-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-11-1-1
χ6111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-111-1-1-111
χ7111111111111-1-1-1-1-1111111-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-111-111
χ8111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1111-1-1111-1-1
χ92222222222222222222-1-1-1-1222000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-120000000000000000002200-1-1-1-1000
χ102222222222222222222-1-1-1-1-2-22000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2000000000000000000-2-2001111000
χ11222222222222-2-2-2-2-222-1-1-1-122-20000-2-2-2-2222211-1-1-1-1-1-1-1-111111111-20000000000000000002-200-1-111000
χ12222222222222-2-2-2-2-222-1-1-1-1-2-2-20000-2-2-2-2222211-1-1-1-1-1-1-1-1111111112000000000000000000-220011-1-1000
χ132222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522222220022222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000
χ142222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52222222002-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000
χ152222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−5222222200-222221+521+521−521−52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−520-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000
χ162222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−5222222200-2-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−520221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000
χ172222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522222220022222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000
χ182222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52222222002-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000
χ192222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+5222222200-222221−521−521+521+52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+520-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000
χ202222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+5222222200-2-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+520221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000
χ2122-2-222-2-2-2-222000002-22-2-220002i−2i2i−2i00002-22-200222-22-2-2-2000000000002i−2i2i−2i00002i−2i2i−2i000000000000000
χ2222-2-222-2-2-2-222000002-22-2-22000−2i2i−2i2i00002-22-200222-22-2-2-200000000000−2i2i−2i2i0000−2i2i−2i2i000000000000000
χ2322-2-2−1−52−1+521+521−521+521−52−1−52−1+520−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ942-22-2-220002i−2i2i−2i−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−1−521+52−1+521−5200−1−52−1+52−1−521+52−1+521−521+521−52−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94000−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600000000000
χ2422-2-2−1−52−1+521+521−521+521−52−1−52−1+520−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ942-22-2-22000−2i2i−2i2i−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−1−521+52−1+521−5200−1−52−1+52−1−521+52−1+521−521+521−52−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94000ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600000000000
χ2522-2-2−1−52−1+521+521−521+521−52−1−52−1+520ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ942-22-2-220002i−2i2i−2iζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−1−521+52−1+521−5200−1−52−1+52−1−521+52−1+521−521+521−52ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94000−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600000000000
χ2622-2-2−1−52−1+521+521−521+521−52−1−52−1+520ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ942-22-2-22000−2i2i−2i2iζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−1−521+52−1+521−5200−1−52−1+52−1−521+52−1+521−521+521−52ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94000ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600000000000
χ2722-2-2−1+52−1−521−521+521−521+52−1+52−1−520ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ1182-22-2-220002i−2i2i−2iζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−1+521−52−1−521+5200−1+52−1−52−1+521−52−1−521+521−521+52ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118000−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200000000000
χ2822-2-2−1+52−1−521−521+521−521+52−1+52−1−520ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ1182-22-2-22000−2i2i−2i2iζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−1+521−52−1−521+5200−1+52−1−52−1+521−52−1−521+521−521+52ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118000ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200000000000
χ2922-2-2−1+52−1−521−521+521−521+52−1+52−1−520−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ1182-22-2-220002i−2i2i−2i−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−1+521−52−1−521+5200−1+52−1−52−1+521−52−1−521+521−521+52−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118000−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200000000000
χ3022-2-2−1+52−1−521−521+521−521+52−1+52−1−520−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ1182-22-2-22000−2i2i−2i2i−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−1+521−52−1−521+5200−1+52−1−52−1+521−52−1−521+521−521+52−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118000ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200000000000
χ3133333333333333333-1-1000033-111-1-1-1-1-1-1-1-1-1-100000000000000000031-111111111-1-1-1-1-1-1-1-1-1-1-1-1000011-1
χ3233333333333333333-1-1000033-1-1-111-1-1-1-1-1-1-1-10000000000000000003-11-1-1-1-1-1-1-1-111111111-1-1110000-1-11
χ3333333333333333333-1-10000-3-3-111-1-1-1-1-1-1-1-1-1-1000000000000000000-31-111111111-1-1-1-1-1-1-1-111110000-1-11
χ3433333333333333333-1-10000-3-3-1-1-111-1-1-1-1-1-1-1-1000000000000000000-3-11-1-1-1-1-1-1-1-11111111111-1-1000011-1
χ35333333333333-3-3-3-3-3-1-1000033111-1-11111-1-1-1-1000000000000000000-3-111111-1-1-1-1-1-1-1-11111-11-1-100001-11
χ36333333333333-3-3-3-3-3-1-10000331-1-1111111-1-1-1-1000000000000000000-31-1-1-1-1-111111111-1-1-1-1-11110000-11-1
χ37333333333333-3-3-3-3-3-1-10000-3-3111-1-11111-1-1-1-10000000000000000003-111111-1-1-1-1-1-1-1-111111-1110000-11-1
χ38333333333333-3-3-3-3-3-1-10000-3-31-1-1111111-1-1-1-100000000000000000031-1-1-1-1-111111111-1-1-1-11-1-1-100001-11
χ394444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+54−1−5−1−5−1+5−1+544-2-2-2-20040000−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5-2-21+521−521+521+521−521−521+521−521+521+521+521+521−521−521−521−52000000000000000000000000000000
χ404444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-41+51+51−51−544-2-2-2-200-400001+51+51−51−5−1−5−1−5−1+5−1+5221+521−521+521+521−521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000000000
χ414444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54−1+5−1+5−1−5−1−544-2-2-2-20040000−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5-2-21−521+521−521−521+521+521−521+521−521−521−521−521+521+521+521+52000000000000000000000000000000
χ424444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-41−51−51+51+544-2-2-2-200-400001−51−51+51+5−1+5−1+5−1−5−1−5221−521+521−521−521+521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.