Finite Group Databasebeta

← Group #14513477

Character table — Group #14513477

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11112222222244444668888101012121212121212121212121212161616161616161616161616161616161616202424242424242424242424242424242424246060606080808080120120120
order1222551010101010104202020204436664424488101010102020202012121515303030303030606060606060606044820202020202020204040404040404040248812121212448
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
χ5111111111111-1-1-1-1-111111111-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111111-1-11-1-1
χ6111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-11-1-111-1-1-111
χ7111111111111-1-1-1-1-1111111-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-11-1-1-1-1-111-111
χ8111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111111-111-1-1111-1-1
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
χ11222222222222-2-2-2-2-222-1-1-1-122-20000-2-2-2-2222211-1-1-1-1-1-1-1-111111111-2000000000000000000-2200-1-111000
χ12222222222222-2-2-2-2-222-1-1-1-1-2-2-20000-2-2-2-2222211-1-1-1-1-1-1-1-11111111120000000000000000002-20011-1-1000
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
χ212-2-2222-2-2-2-22200000-222-2-220002-22-20000-2-2220022-2-2-2-222000000000002-22-200002-22-2000000000000000
χ222-2-2222-2-2-2-22200000-222-2-22000-22-220000-2-2220022-2-2-2-22200000000000-22-220000-22-22000000000000000
χ232-2-22−1−52−1+521+521+521−521−52−1−52−1+520−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116-222-2-220002-22-2−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1161+521−52−1−52−1+5200−1−52−1+521+521+521−521−52−1−52−1+52−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116000−1−521+52−1+521−52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−1−521+52−1+521−52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600000000000
χ242-2-22−1−52−1+521+521+521−521−52−1−52−1+520−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116-222-2-22000-22-22−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1161+521−52−1−52−1+5200−1−52−1+521+521+521−521−52−1−52−1+52−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ1160001+52−1−521−52−1+52ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1161+52−1−521−52−1+52ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600000000000
χ252-2-22−1−52−1+521+521+521−521−52−1−52−1+520ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116-222-2-220002-22-2ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1161+521−52−1−52−1+5200−1−52−1+521+521+521−521−52−1−52−1+52ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116000−1−521+52−1+521−52ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−1−521+52−1+521−52ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600000000000
χ262-2-22−1−52−1+521+521+521−521−52−1−52−1+520ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116-222-2-22000-22-22ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1161+521−52−1−52−1+5200−1−52−1+521+521+521−521−52−1−52−1+52ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ1160001+52−1−521−52−1+52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1161+52−1−521−52−1+52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600000000000
χ272-2-22−1+52−1−521−521−521+521+52−1+52−1−520ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92-222-2-220002-22-2ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ921−521+52−1+52−1−5200−1+52−1−521−521−521+521+52−1+52−1−52ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92000−1+521−52−1−521+52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−1+521−52−1−521+52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200000000000
χ282-2-22−1+52−1−521−521−521+521+52−1+52−1−520ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92-222-2-22000-22-22ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ921−521+52−1+52−1−5200−1+52−1−521−521−521+521+52−1+52−1−52ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ920001−52−1+521+52−1−52−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ921−52−1+521+52−1−52−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200000000000
χ292-2-22−1+52−1−521−521−521+521+52−1+52−1−520−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92-222-2-220002-22-2−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ921−521+52−1+52−1−5200−1+52−1−521−521−521+521+52−1+52−1−52−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92000−1+521−52−1−521+52−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−1+521−52−1−521+52−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200000000000
χ302-2-22−1+52−1−521−521−521+521+52−1+52−1−520−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92-222-2-22000-22-22−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ921−521+52−1+52−1−5200−1+52−1−521−521−521+521+52−1+52−1−52−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ920001−52−1+521+52−1−52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ921−52−1+521+52−1−52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+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
χ35333333333333-3-3-3-3-3-1-1000033111-1-11111-1-1-1-1000000000000000000-3-111111-1-1-1-1-1-1-1-111111-1-1-100001-11
χ36333333333333-3-3-3-3-3-1-10000331-1-1111111-1-1-1-1000000000000000000-31-1-1-1-1-111111111-1-1-1-11-1110000-11-1
χ37333333333333-3-3-3-3-3-1-10000-3-3111-1-11111-1-1-1-10000000000000000003-111111-1-1-1-1-1-1-1-11111-11110000-11-1
χ38333333333333-3-3-3-3-3-1-10000-3-31-1-1111111-1-1-1-100000000000000000031-1-1-1-1-111111111-1-1-1-1-11-1-100001-11
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
χ4344-4-4444-44-4-4-400000001-11-14-400000000000003−3111-11-1-1-13−33−33−33−3000000000000000000000001-13−3000
χ4444-4-4444-44-4-4-400000001-11-14-40000000000000−33111-11-1-1-1−33−33−33−33000000000000000000000001-1−33000
χ4544-4-4444-44-4-4-400000001-11-1-4400000000000003−3111-11-1-1-13−33−33−33−300000000000000000000000-11−33000
χ4644-4-4444-44-4-4-400000001-11-1-440000000000000−33111-11-1-1-1−33−33−33−3300000000000000000000000-113−3000
χ4744-4-4444-44-4-4-40000000-22-224-4000000000000000-2-2-22-22220000000000000000000000000000000-2200000
χ4844-4-4444-44-4-4-40000000-22-22-44000000000000000-2-2-22-222200000000000000000000000000000002-200000
χ494-44-444-44-44-4-40000000-2-22200000000000000000-2-22-22-22200000000000000000000000000000−2i22i20000000
χ504-44-444-44-44-4-40000000-2-22200000000000000000-2-22-22-222000000000000000000000000000002i2−2i20000000
χ514-4-4444-4-4-4-44400000-44-222-200000000000-4-44400-2-22222-2-200000000000000000000000000000000000000
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χ534-4-44−1−5−1+51+51+51−51−5−1−5−1+502ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116-44-222-200000002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ1161+51−5−1−5−1+5001+521−52−1−52−1−52−1+52−1+521+521−52−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.