Finite Group Databasebeta

← Group #14304615

Character table — Group #14304615

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444455556666888888888101010101010101010101010101016161616161616162020202020202020202024242424243030303030303030303030304040404040404040404848120120120
order122234466651010101212222288882661520203030304466668888888810103030303060601212242424242424242444040404044444444888824466121212122020444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111-1-1
χ3111111111111111111111111-1-1-111111111111111111111-1-1-1-1-1-1111111111111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-11111-1-1-111
χ511111111111111111111-1-1-1-111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1
χ611111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1-1-1-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ811111111111111111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-111-1-11111111-1-1
χ91111111111111111-1-1-1-11111111111111-1-1-1-1-1-1iiii−i−i−i−i11111111-1-1iiii−i−i−i−i11111ii−i−iii−i−i-1-1-1-1-1i−i-1-1ii−i−i11-1i−i
χ101111111111111111-1-1-1-11111111111111-1-1-1-1-1-1−i−i−i−iiiii11111111-1-1−i−i−i−iiiii11111−i−iii−i−iii-1-1-1-1-1−ii-1-1−i−iii11-1−ii
χ111111111111111111-1-1-1-11111-1-1-1111111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-111-1-1iiii−i−i−i−i-11111ii−i−iii−i−i-1-1-1-11−ii11−i−iii-1-11−ii
χ121111111111111111-1-1-1-11111-1-1-1111111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-111-1-1−i−i−i−iiiii-11111−i−iii−i−iii-1-1-1-11i−i11ii−i−i-1-11i−i
χ131111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1iiii−i−i−i−i11111111-1-1iiii−i−i−i−i-1-1-1-1-1−i−iii−i−iii1111-1i−i-1-1ii−i−i-1-11−ii
χ141111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1−i−i−i−iiiii11111111-1-1−i−i−i−iiiii-1-1-1-1-1ii−i−iii−i−i1111-1−ii-1-1−i−iii-1-11i−i
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-111-1-1iiii−i−i−i−i1-1-1-1-1−i−iii−i−iii11111−ii11−i−iii11-1i−i
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-111-1-1−i−i−i−iiiii1-1-1-1-1ii−i−iii−i−i11111i−i11ii−i−i11-1−ii
χ1722222-2-22222222-2-2222200000002-2-2222-2-2222200000000000000-2-2-2-200000000000002222-2-2-2-2000000000000000000
χ1822222-2-22222222-2-2222200000002-2-2222-2-2222200000000000000-2-2-2-20000000000000-2-2-2-22222000000000000000000
χ1922222-2-22222222-2-2-2-2-2-200000002-2-222222-2-2-2-200000000000000-2-22200000000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ2022222-2-22222222-2-2-2-2-2-200000002-2-222222-2-2-2-200000000000000-2-2220000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ212222-122-1-1-12222-1-1222200002-1-1-122-1-1-122-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000222-1-1-1-1-1-100000
χ222222-122-1-1-12222-1-1222200002-1-1-122-1-1-122-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-111111111000000000000000002-2-2-1-1111100000
χ232222-122-1-1-12222-1-122220000-211-122-1-1-122-1-1-1-122222222-2-21111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-2-2-211111100000
χ242222-122-1-1-12222-1-122220000-211-122-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-2-21111-1-1-1-11111111100000000000000000-22211-1-1-1-100000
χ252222-122-1-1-12222-1-1-2-2-2-200002-1-1-122-1-1-1-2-211112i2i2i2i−2i−2i−2i−2i22-1-1-1-1-1-111−i−i−i−iiiii00000000000000000-22i−2i11−i−iii00000
χ262222-122-1-1-12222-1-1-2-2-2-200002-1-1-122-1-1-1-2-21111−2i−2i−2i−2i2i2i2i2i22-1-1-1-1-1-111iiii−i−i−i−i00000000000000000-2−2i2i11ii−i−i00000
χ272222-122-1-1-12222-1-1-2-2-2-20000-211-122-1-1-1-2-211112i2i2i2i−2i−2i−2i−2i-2-21111-1-111−i−i−i−iiiii000000000000000002−2i2i-1-1ii−i−i00000
χ282222-122-1-1-12222-1-1-2-2-2-20000-211-122-1-1-1-2-21111−2i−2i−2i−2i2i2i2i2i-2-21111-1-111iiii−i−i−i−i0000000000000000022i−2i-1-1−i−iii00000
χ2922-2-22002-2-222-2-2002-22-2−i2−i2i2i20002002-2-2002-2-2222−2−222−2−2000000000022−2−222−2−20−i2−i2i2i22i−2i2i−2i0000−i2−i2i2i200000000000000
χ3022-2-22002-2-222-2-2002-22-2−i2−i2i2i20002002-2-2002-2-22−2−222−2−2220000000000−2−222−2−2220−i2−i2i2i2−2i2i−2i2i0000−i2−i2i2i200000000000000
χ3122-2-22002-2-222-2-2002-22-2i2i2−i2−i20002002-2-2002-2-2222−2−222−2−2000000000022−2−222−2−20i2i2−i2−i2−2i2i−2i2i0000i2i2−i2−i200000000000000
χ3222-2-22002-2-222-2-2002-22-2i2i2−i2−i20002002-2-2002-2-22−2−222−2−2220000000000−2−222−2−2220i2i2−i2−i22i−2i2i−2i0000i2i2−i2−i200000000000000
χ3322-2-22002-2-222-2-200-22-22−i2−i2i2i20002002-2-200-222-2−i2−i2i2i2i2i2−i2−i20000000000−i2−i2i2i2i2i2−i2−i20−i2−i2i2i22-2-220000i2i2−i2−i200000000000000
χ3422-2-22002-2-222-2-200-22-22−i2−i2i2i20002002-2-200-222-2i2i2−i2−i2−i2−i2i2i20000000000i2i2−i2−i2−i2−i2i2i20−i2−i2i2i2-222-20000i2i2−i2−i200000000000000
χ3522-2-22002-2-222-2-200-22-22i2i2−i2−i20002002-2-200-222-2−i2−i2i2i2i2i2−i2−i20000000000−i2−i2i2i2i2i2−i2−i20i2i2−i2−i2-222-20000−i2−i2i2i200000000000000
χ3622-2-22002-2-222-2-200-22-22i2i2−i2−i20002002-2-200-222-2i2i2−i2−i2−i2−i2i2i20000000000i2i2−i2−i2−i2−i2i2i20i2i2−i2−i22-2-220000−i2−i2i2i200000000000000
χ372-22-222-2-2-222-22-22-22-2-222i−2i2i−2i00022-2-2-22-2222-2-2000000000000002-2-220000000002i−2i2i−2i000000002i−2i2i−2i00000000000000
χ382-22-222-2-2-222-22-22-22-2-22−2i2i−2i2i00022-2-2-22-2222-2-2000000000000002-2-22000000000−2i2i−2i2i00000000−2i2i−2i2i00000000000000
χ392-22-222-2-2-222-22-22-2-222-22i−2i2i−2i00022-2-2-222-2-2-222000000000000002-22-20000000002i−2i2i−2i00000000−2i2i−2i2i00000000000000
χ402-22-222-2-2-222-22-22-2-222-2−2i2i−2i2i00022-2-2-222-2-2-222000000000000002-22-2000000000−2i2i−2i2i000000002i−2i2i−2i00000000000000
χ412-22-22-22-2-222-22-2-222-2-2200000002-22-2-222-222-2-22i−2i2i−2i2i−2i2i−2i000000-222-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000
χ422-22-22-22-2-222-22-2-222-2-2200000002-22-2-222-222-2-2−2i2i−2i2i−2i2i−2i2i000000-222-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000
χ432-22-22-22-2-222-22-2-22-222-200000002-22-2-22-22-2-2222-22-2-22-22000000-22-222-22-2-22-220000000000000000000000000000000
χ442-22-22-22-2-222-22-2-22-222-200000002-22-2-22-22-2-222-22-222-22-2000000-22-22-22-222-22-20000000000000000000000000000000
χ452-22-2-1-2211-12-22-21-12-2-2200000−i3i3-1-2211-12-2-1-1112i−2i2i−2i2i−2i2i−2i00−i3−i3i3i31-1-11−ii−ii−ii−ii00000000000000000000−i3i33−33−300000
χ462-22-2-1-2211-12-22-21-12-2-2200000−i3i3-1-2211-12-2-1-111−2i2i−2i2i−2i2i−2i2i00−i3−i3i3i31-1-11i−ii−ii−ii−i00000000000000000000−i3i3−33−3300000
χ472-22-2-1-2211-12-22-21-12-2-2200000i3−i3-1-2211-12-2-1-1112i−2i2i−2i2i−2i2i−2i00i3i3−i3−i31-1-11−ii−ii−ii−ii00000000000000000000i3−i3−33−3300000
χ482-22-2-1-2211-12-22-21-12-2-2200000i3−i3-1-2211-12-2-1-111−2i2i−2i2i−2i2i−2i2i00i3i3−i3−i31-1-11i−ii−ii−ii−i00000000000000000000i3−i33−33−300000
χ492-22-2-1-2211-12-22-21-1-222-200000−i3i3-1-2211-1-2211-1-12-22-2-22-2200−i3−i3i3i31-11-1-11-111-11-100000000000000000000i3−i3−i3i3i3−i300000
χ502-22-2-1-2211-12-22-21-1-222-200000−i3i3-1-2211-1-2211-1-1-22-222-22-200−i3−i3i3i31-11-11-11-1-11-1100000000000000000000i3−i3i3−i3−i3i300000
χ512-22-2-1-2211-12-22-21-1-222-200000i3−i3-1-2211-1-2211-1-12-22-2-22-2200i3i3−i3−i31-11-1-11-111-11-100000000000000000000−i3i3i3−i3−i3i300000
χ522-22-2-1-2211-12-22-21-1-222-200000i3−i3-1-2211-1-2211-1-1-22-222-22-200i3i3−i3−i31-11-11-11-1-11-1100000000000000000000−i3i3−i3i3i3−i300000
χ532-2-22200-22-22-2-220022-2-22−2−22000200-22-2002-22-2−i2i2i2−i2−i2i2i2−i20000000000−i2i2i2−i2−i2i2i2−i202−2−2200002i−2i2i−2i2−2−2200000000000000
χ542-2-22200-22-22-2-220022-2-22−2−22000200-22-2002-22-2i2−i2−i2i2i2−i2−i2i20000000000i2−i2−i2i2i2−i2−i2i202−2−220000−2i2i−2i2i2−2−2200000000000000
χ552-2-22200-22-22-2-220022-2-2−222−2000200-22-2002-22-2−i2i2i2−i2−i2i2i2−i20000000000−i2i2i2−i2−i2i2i2−i20−222−20000−2i2i−2i2i−222−200000000000000
χ562-2-22200-22-22-2-220022-2-2−222−2000200-22-2002-22-2i2−i2−i2i2i2−i2−i2i20000000000i2−i2−i2i2i2−i2−i2i20−222−200002i−2i2i−2i−222−200000000000000
χ572-2-22200-22-22-2-2200-2-2222−2−22000200-22-200-22-222−2−22−222−200000000002−2−22−222−202−2−220000-222-2−222−200000000000000
χ582-2-22200-22-22-2-2200-2-2222−2−22000200-22-200-22-22−222−22−2−220000000000−222−22−2−2202−2−2200002-2-22−222−200000000000000
χ592-2-22200-22-22-2-2200-2-222−222−2000200-22-200-22-222−2−22−222−200000000002−2−22−222−20−222−200002-2-222−2−2200000000000000
χ602-2-22200-22-22-2-2200-2-222−222−2000200-22-200-22-22−222−22−2−220000000000−222−22−2−220−222−20000-222-22−2−2200000000000000
χ614444444444-1-1-1-14400004444444-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-100000000004-1-1-1-1000000000000000000000-1-1000
χ624444444444-1-1-1-14400004444-4-4-4-1-1-1-1-1-100000000000000111111-1-10000000000-4-1-1-1-100000000000000000000011000
χ634444444444-1-1-1-1440000-4-4-4-4444-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-10000000000-4111100000000000000000000011000
χ644444444444-1-1-1-1440000-4-4-4-4-4-4-4-1-1-1-1-1-100000000000000111111-1-1000000000041111000000000000000000000-1-1000
χ654444-2-4-4-2-2-244442244440000000-2-4-4-2-2-2-4-4-2-2-2-2000000000000002222000000000000000000000000000000000000000
χ664444-2-4-4-2-2-2444422-4-4-4-40000000-2-4-4-2-2-24422220000000000000022-2-2000000000000000000000000000000000000000
χ6744-4-4-200-22244-4-4004-44-40000000-200-22200-222-22222−22−222222−22−220000000000−2−222−2−2220000000000000000000000000000000
χ6844-4-4-200-22244-4-4004-44-40000000-200-22200-222-2−22−222222−22−222222000000000022−2−222−2−20000000000000000000000000000000
χ6944-4-4-200-22244-4-400-44-440000000-200-222002-2-22−2i2−2i22i22i22i22i2−2i2−2i20000000000i2i2−i2−i2−i2−i2i2i20000000000000000000000000000000
χ7044-4-4-200-22244-4-400-44-440000000-200-222002-2-222i22i2−2i2−2i2−2i2−2i22i22i20000000000−i2−i2i2i2i2i2−i2−i20000000000000000000000000000000
χ714-44-444-4-4-44-11-114-400004i−4i4i−4i000-1-1111-100000000000000−55−55−55-1100000000000−ii−ii000000000000000000000−i5i5000
χ724-44-444-4-4-44-11-114-400004i−4i4i−4i000-1-1111-1000000000000005−55−55−5-1100000000000−ii−ii000000000000000000000i5−i5000
χ734-44-444-4-4-44-11-114-40000−4i4i−4i4i000-1-1111-100000000000000−55−55−55-1100000000000i−ii−i000000000000000000000i5−i5000
χ744-44-444-4-4-44-11-114-40000−4i4i−4i4i000-1-1111-1000000000000005−55−55−5-1100000000000i−ii−i000000000000000000000−i5i5000
χ754-44-4-24-422-24-44-4-224-4-440000000-24-422-2-44-2-22200000000000000-222-2000000000000000000000000000000000000000
χ764-44-4-24-422-24-44-4-22-444-40000000-24-422-24-422-2-200000000000000-22-22000000000000000000000000000000000000000
χ774-4-44-2002-224-4-440044-4-40000000-2002-2200-22-22−2i22i22i2−2i2−2i22i22i2−2i20000000000i2−i2−i2i2i2−i2−i2i20000000000000000000000000000000
χ784-4-44-2002-224-4-440044-4-40000000-2002-2200-22-222i2−2i2−2i22i22i2−2i2−2i22i20000000000−i2i2i2−i2−i2i2i2−i20000000000000000000000000000000
χ794-4-44-2002-224-4-4400-4-4440000000-2002-22002-22-222−22−2222−222222−220000000000−222−22−2−220000000000000000000000000000000
χ804-4-44-2002-224-4-4400-4-4440000000-2002-22002-22-2−222222−2222−22−222200000000002−2−22−222−20000000000000000000000000000000
χ8188888-8-8888-2-2-2-2-8-800000000000-222-2-2-2000000000000000000002200000000000000000000000000000000000000000
χ828888-488-4-4-4-2-2-2-2-4-4000000008-4-41-2-211100000000000000-2-211111100000000000000000000000000000000000000000
χ838888-488-4-4-4-2-2-2-2-4-400000000-8441-2-21110000000000000022-1-1-1-11100000000000000000000000000000000000000000
χ848888-4-8-8-4-4-4-2-2-2-244000000000001221110000000000000000−i15i15i15−i15-1-100000000000000000000000000000000000000000
χ858888-4-8-8-4-4-4-2-2-2-244000000000001221110000000000000000i15−i15−i15i15-1-100000000000000000000000000000000000000000
χ8688-8-88008-8-8-2-222000000−4i2−4i24i24i2000-200-222000000000000000000000000000000000i2i2−i2−i200000000000000000000000000
χ8788-8-88008-8-8-2-2220000004i24i2−4i2−4i2000-200-222000000000000000000000000000000000−i2−i2i2i200000000000000000000000000
χ888-88-88-88-8-88-22-22-8800000000000-22-222-2000000000000000000002-200000000000000000000000000000000000000000
χ898-88-8-48-844-4-22-22-44000000000001-22-1-1100000000000000−25255−55−51-100000000000000000000000000000000000000000
χ908-88-8-48-844-4-22-22-44000000000001-22-1-110000000000000025−25−55−551-100000000000000000000000000000000000000000
χ918-88-8-4-8844-4-22-224-4000000000−4i34i312-2-1-110000000000000000i3i3−i3−i3-1100000000000000000000000000000000000000000
χ928-88-8-4-8844-4-22-224-40000000004i3−4i312-2-1-110000000000000000−i3−i3i3i3-1100000000000000000000000000000000000000000
χ938-8-88800-88-8-222-200000042−42−4242000-2002-22000000000000000000000000000000000−222−200000000000000000000000000
χ948-8-88800-88-8-222-2000000−424242−42000-2002-220000000000000000000000000000000002−2−2200000000000000000000000000
χ951616-16-16-800-888-4-44400000000000002002-2-2000000000000000000000000000000000000000000000000000000000000000
χ9616-16-1616-8008-88-444-40000000000000200-22-2000000000000000000000000000000000000000000000000000000000000000

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