Finite Group Databasebeta

← Group #14429335

Character table — Group #14429335

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size112222222224444444444444444444888888888888888888242424242424242424243030404040404040606060112222222224444444444444444444888888888888888888242424242424242424243030404040404040606060
order12234455610102461010121215152020202030306060606061010122020303030303030606060606060482020202040404040882668242488822264410106101024610101212303020202020303060606060610101220203030303030306060606060604820202020404040408826682424888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ511111111111-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11-11111-1-1-1-111111-1-1-11-1-111111111111-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11-11111-1-1-1-111111-1-1-11-1-1
χ611111111111-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1111-11111111111111-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1111-111
χ711111111111-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11-1-1-1-1111111-1-1-11111-1-111111111111-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11-1-1-1-1111111-1-1-11111-1-1
χ811111111111-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11-1-1-1-11111-1-1111-1-1-1-11111111111111-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11-1-1-1-11111-1-1111-1-1-1-111
χ9222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000
χ10222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−5200000000000222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−5200000000000
χ11222222−1−52−1+522−1−52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521−52-21+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−5200000000000222222−1−52−1+522−1−52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521−52-21+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−5200000000000
χ12222222−1−52−1+522−1−52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521−52-21+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000000222222−1−52−1+522−1−52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521−52-21+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000000
χ13222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000
χ14222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200000000000222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200000000000
χ15222222−1+52−1−522−1+52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521+52-21−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+5200000000000222222−1+52−1−522−1+52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521+52-21−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+5200000000000
χ16222222−1+52−1−522−1+52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521+52-21−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000000222222−1+52−1−522−1+52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521+52-21−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000000
χ172222-2-22222200222-2-222-2-2-2-222-2-2-2-2000000220000-2-2000000000000000000000002i−2i2222-2-22222200222-2-222-2-2-2-222-2-2-2-2000000220000-2-2000000000000000000000002i−2i
χ182222-2-22222200222-2-222-2-2-2-222-2-2-2-2000000220000-2-200000000000000000000000−2i2i2222-2-22222200222-2-222-2-2-2-222-2-2-2-2000000220000-2-200000000000000000000000−2i2i
χ19222-12222-12222-122-1-1-1-12222-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-10000000000002-1-12-1-1000222-12222-12222-122-1-1-1-12222-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-10000000000002-1-12-1-1000
χ20222-12222-12222-122-1-1-1-12222-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000-211-211000222-12222-12222-122-1-1-1-12222-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000-211-211000
χ21222-12222-122-2-2-122-1-1-1-12222-1-1-1-1-1-11-2-21-2-2-1-11111-1-111110000000000002-1-1-211000222-12222-122-2-2-122-1-1-1-12222-1-1-1-1-1-11-2-21-2-2-1-11111-1-111110000000000002-1-1-211000
χ22222-12222-122-2-2-122-1-1-1-12222-1-1-1-1-1-11-2-21-2-2-1-11111-1-11111000000000000-2112-1-1000222-12222-122-2-2-122-1-1-1-12222-1-1-1-1-1-11-2-21-2-2-1-11111-1-11111000000000000-2112-1-1000
χ2322-222-2222222-2-2-2-2-2222-2-22222-2-2-2-2222-2-2-2-2-2222222-2-2-2-200000000000000000000022-222-2222222-2-2-2-2-2222-2-22222-2-2-2-2222-2-2-2-2-2222222-2-2-2-2000000000000000000000
χ2422-222-222222-22-2-2-2-2222-2-22222-2-2-2-2-2-2-2222-2-2-2-2-2-222222200000000000000000000022-222-222222-22-2-2-2-2222-2-22222-2-2-2-2-2-2-2222-2-2-2-2-2-2222222000000000000000000000
χ2522-222-2−1−52−1+522−1−52−1+522-2-21+521−52-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+52-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−5200−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160000000000022-222-2−1−52−1+522−1−52−1+522-2-21+521−52-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+52-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−5200−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600000000000
χ2622-222-2−1−52−1+522−1−52−1+522-2-21+521−52-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+52-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−5200ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160000000000022-222-2−1−52−1+522−1−52−1+522-2-21+521−52-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+52-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−5200ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600000000000
χ2722-222-2−1−52−1+522−1−52−1+52-22-21+521−52-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52-21+521−522−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160000000000022-222-2−1−52−1+522−1−52−1+52-22-21+521−52-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52-21+521−522−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600000000000
χ2822-222-2−1−52−1+522−1−52−1+52-22-21+521−52-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52-21+521−522−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160000000000022-222-2−1−52−1+522−1−52−1+52-22-21+521−52-22−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52-21+521−522−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600000000000
χ2922-222-2−1+52−1−522−1+52−1−522-2-21−521+52-22−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−52-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+5200ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920000000000022-222-2−1+52−1−522−1+52−1−522-2-21−521+52-22−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−52-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+5200ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200000000000
χ3022-222-2−1+52−1−522−1+52−1−522-2-21−521+52-22−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−52-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+5200−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920000000000022-222-2−1+52−1−522−1+52−1−522-2-21−521+52-22−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−52-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+5200−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200000000000
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χ1358-80-400−2−25−2+2542+252−2500000001+51−50000−1−5−1+52ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94000000000000000000000000000000000000000-8804002+252−25-4−2−25−2+250000000−1−5−1+500001+51−5−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ94000000000000000000000000000000000000000
χ1368-80-400−2−25−2+2542+252−2500000001+51−50000−1−5−1+5−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ94000000000000000000000000000000000000000-8804002+252−25-4−2−25−2+250000000−1−5−1+500001+51−52ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94000000000000000000000000000000000000000
χ1378-80-400−2+25−2−2542−252+2500000001−51+50000−1+5−1−5−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ118000000000000000000000000000000000000000-8804002−252+25-4−2+25−2−250000000−1+5−1−500001−51+52ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ942ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118000000000000000000000000000000000000000
χ1388-80-400−2+25−2−2542−252+2500000001−51+50000−1+5−1−52ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ942ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118000000000000000000000000000000000000000-8804002−252+25-4−2+25−2−250000000−1+5−1−500001−51+5−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ118000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.