Finite Group Databasebeta

← Group #14301141

Character table — Group #14301141

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222244444455558888888881010101010101212121216161616161616162020202020202020202020202020202020202424242430303030404040404040404848606060606060120120
order122234466651010101212222226615202030303044666644881010303030306060444488881212242424242424242440404040444426612121212202044448844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-111-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111111-1-1-1-1
χ611111111111111111111-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1111111111111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ91111111111111111-1-1-1-1111111111-1-1-1-1-1-1111111111111ii−i−iii−i−i-1-1iiii−i−i−i−i1111ii−i−i-1-1-1ii−i−i11-1-1i−i-1-1i−i
χ101111111111111111-1-1-1-1111111111-1-1-1-1-1-1111111111111−i−iii−i−iii-1-1−i−i−i−iiiii1111−i−iii-1-1-1−i−iii11-1-1−ii-1-1−ii
χ111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111ii−i−iii−i−i-1-1iiii−i−i−i−i-1-1-1-1−i−iii-1-1-1ii−i−i-1-111−ii11−ii
χ121111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−iii-1-1−i−i−i−iiiii-1-1-1-1ii−i−i-1-1-1−i−iii-1-111i−i11i−i
χ131111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1−i−i−i−iiiii-1-1-1-1ii−i−i111ii−i−i11-1-1i−i11−ii
χ141111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1iiii−i−i−i−i-1-1-1-1−i−iii111−i−iii11-1-1−ii11i−i
χ151111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111ii−i−i−i−iii-1-1−i−i−i−iiiii1111−i−iii111ii−i−i-1-111−ii-1-1i−i
χ161111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111−i−iiiii−i−i-1-1iiii−i−i−i−i1111ii−i−i111−i−iii-1-111i−i-1-1−ii
χ1722222-2-22222222-2-222220002-2-2222-2-222220000000000-2-200000000-2-2000000000000222200000000000-2-20000
χ1822222-2-22222222-2-222220002-2-2222-2-222220000000000-2-200000000-2-2000000000000-2-2-2-200000000000220000
χ1922222-2-22222222-2-2-2-2-2-20002-2-222222-2-2-2-20000000000-2-200000000220000000000002i2i−2i−2i00000000000−2i2i0000
χ2022222-2-22222222-2-2-2-2-2-20002-2-222222-2-2-2-20000000000-2-20000000022000000000000−2i−2i2i2i000000000002i−2i0000
χ212222-122-1-1-12222-1-122222-1-1-122-1-1-122-1-1-1-1000022-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1000000002-1-1-1-1-1-10000000000
χ222222-122-1-1-12222-1-122222-1-1-122-1-1-122-1-1-1-1000022-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-111111111000000002-1-111110000000000
χ232222-122-1-1-12222-1-12222-211-122-1-1-122-1-1-1-10000-2-21111-1-12222-2-2-2-2-1-11111111100000000-211-1-1-1-10000000000
χ242222-122-1-1-12222-1-12222-211-122-1-1-122-1-1-1-10000-2-21111-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-100000000-21111110000000000
χ252222-122-1-1-12222-1-1-2-2-2-22-1-1-122-1-1-1-2-21111000022-1-1-1-1-1-12i2i−2i−2i2i2i−2i−2i11−i−i−i−iiiii00000000-211−i−iii0000000000
χ262222-122-1-1-12222-1-1-2-2-2-22-1-1-122-1-1-1-2-21111000022-1-1-1-1-1-1−2i−2i2i2i−2i−2i2i2i11iiii−i−i−i−i00000000-211ii−i−i0000000000
χ272222-122-1-1-12222-1-1-2-2-2-2-211-122-1-1-1-2-211110000-2-21111-1-12i2i−2i−2i−2i−2i2i2i11iiii−i−i−i−i000000002-1-1−i−iii0000000000
χ282222-122-1-1-12222-1-1-2-2-2-2-211-122-1-1-1-2-211110000-2-21111-1-1−2i−2i2i2i2i2i−2i−2i11−i−i−i−iiiii000000002-1-1ii−i−i0000000000
χ2922-2-22002-2-222-2-2002-22-20002002-2-2002-2-2200−i2i20000000000002−22−20022−2−222−2−2−i2−i2i2i22i−2i2i−2i0000000000000−i2i200
χ3022-2-22002-2-222-2-2002-22-20002002-2-2002-2-2200−i2i2000000000000−22−2200−2−222−2−222−i2−i2i2i2−2i2i−2i2i0000000000000−i2i200
χ3122-2-22002-2-222-2-2002-22-20002002-2-2002-2-2200i2−i20000000000002−22−20022−2−222−2−2i2i2−i2−i2−2i2i−2i2i0000000000000i2−i200
χ3222-2-22002-2-222-2-2002-22-20002002-2-2002-2-2200i2−i2000000000000−22−2200−2−222−2−222i2i2−i2−i22i−2i2i−2i0000000000000i2−i200
χ3322-2-22002-2-222-2-200-22-220002002-2-200-222-200−i2i2000000000000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i22-2-220000000000000i2−i200
χ3422-2-22002-2-222-2-200-22-220002002-2-200-222-200−i2i2000000000000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-222-20000000000000i2−i200
χ3522-2-22002-2-222-2-200-22-220002002-2-200-222-200i2−i2000000000000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-222-20000000000000−i2i200
χ3622-2-22002-2-222-2-200-22-220002002-2-200-222-200i2−i2000000000000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i22-2-220000000000000−i2i200
χ372-2-2222-2-2-222-2-222-22-2-2200022-2-2-222-222-2-200000000002-22i−2i2i−2i00002-200000000000000000002i−2i2i−2i0000000000
χ382-2-2222-2-2-222-2-222-22-2-2200022-2-2-222-222-2-200000000002-2−2i2i−2i2i00002-20000000000000000000−2i2i−2i2i0000000000
χ392-2-2222-2-2-222-2-222-2-222-200022-2-2-22-22-2-22200000000002-22-2-220000-2200000000000000000002-2-220000000000
χ402-2-2222-2-2-222-2-222-2-222-200022-2-2-22-22-2-22200000000002-2-222-20000-220000000000000000000-222-20000000000
χ412-2-222-22-2-222-2-22-222-2-220002-22-2-22-2222-2-22-200000000-2200000000-22000000000000000000000002-22-2000000
χ422-2-222-22-2-222-2-22-222-2-220002-22-2-22-2222-2-2-2200000000-2200000000-2200000000000000000000000-22-22000000
χ432-2-222-22-2-222-2-22-22-222-20002-22-2-222-2-2-2222-200000000-22000000002-2000000000000000000000002-2-22000000
χ442-2-222-22-2-222-2-22-22-222-20002-22-2-222-2-2-222-2200000000-22000000002-200000000000000000000000-222-2000000
χ452-2-22-12-211-12-2-22-112-2-220−i3i3-12-211-12-2-1-111000000−i3−i3i3i3-112i−2i2i−2i0000-113−33−33−33−3000000000−i3i3−ii−ii0000000000
χ462-2-22-12-211-12-2-22-112-2-220−i3i3-12-211-12-2-1-111000000−i3−i3i3i3-11−2i2i−2i2i0000-11−33−33−33−33000000000−i3i3i−ii−i0000000000
χ472-2-22-12-211-12-2-22-112-2-220i3−i3-12-211-12-2-1-111000000i3i3−i3−i3-112i−2i2i−2i0000-11−33−33−33−33000000000i3−i3−ii−ii0000000000
χ482-2-22-12-211-12-2-22-112-2-220i3−i3-12-211-12-2-1-111000000i3i3−i3−i3-11−2i2i−2i2i0000-113−33−33−33−3000000000i3−i3i−ii−i0000000000
χ492-2-22-12-211-12-2-22-11-222-20−i3i3-12-211-1-2211-1-1000000−i3−i3i3i3-112-2-2200001-1−i3i3−i3i3i3−i3i3−i3000000000i3−i3-111-10000000000
χ502-2-22-12-211-12-2-22-11-222-20−i3i3-12-211-1-2211-1-1000000−i3−i3i3i3-11-222-200001-1i3−i3i3−i3−i3i3−i3i3000000000i3−i31-1-110000000000
χ512-2-22-12-211-12-2-22-11-222-20i3−i3-12-211-1-2211-1-1000000i3i3−i3−i3-112-2-2200001-1i3−i3i3−i3−i3i3−i3i3000000000−i3i3-111-10000000000
χ522-2-22-12-211-12-2-22-11-222-20i3−i3-12-211-1-2211-1-1000000i3i3−i3−i3-11-222-200001-1−i3i3−i3i3i3−i3i3−i3000000000−i3i31-1-110000000000
χ534444444444-1-1-1-1440000444-1-1-1-1-1-10000004444-1-1-1-1-1-1-1-1000000000000000000-1-1-1-100000000000-1-100000000
χ544444444444-1-1-1-1440000444-1-1-1-1-1-1000000-4-4-4-4-1-1-1-1-1-1-1-10000000000000000001111000000000001100000000
χ554444444444-1-1-1-1440000-4-4-4-1-1-1-1-1-100000044-4-4111111-1-1000000000000000000111100000000000-1-100000000
χ564444444444-1-1-1-1440000-4-4-4-1-1-1-1-1-1000000-4-444111111-1-1000000000000000000-1-1-1-1000000000001100000000
χ574444-2-4-4-2-2-24444224444000-2-4-4-2-2-2-4-4-2-2-2-20000000000220000000022000000000000000000000000000000000
χ584444-2-4-4-2-2-2444422-4-4-4-4000-2-4-4-2-2-244222200000000002200000000-2-2000000000000000000000000000000000
χ5944-4-4-200-22244-4-4004-44-4000-200-22200-222-2000000000000000022−2222−2200−2−222−2−2220000000000000000000000000
χ6044-4-4-200-22244-4-4004-44-4000-200-22200-222-20000000000000000−2222−22220022−2−222−2−20000000000000000000000000
χ6144-4-4-200-22244-4-400-44-44000-200-222002-2-220000000000000000−2i22i22i2−2i200i2i2−i2−i2−i2−i2i2i20000000000000000000000000
χ6244-4-4-200-22244-4-400-44-44000-200-222002-2-2200000000000000002i2−2i2−2i22i200−i2−i2i2i2i2i2−i2−i20000000000000000000000000
χ634-44-4400-44-44-44-40044-4-4000400-44-4004-44-40000000000000000000000000000000000000000000000000000000
χ644-44-4400-44-44-44-400-4-444000400-44-400-44-440000000000000000000000000000000000000000000000000000000
χ654-44-4-2002-224-44-40044-4-4000-2002-2200-22-2200000000000000000000006−6−666−6−660000000000000000000000000
χ664-44-4-2002-224-44-40044-4-4000-2002-2200-22-220000000000000000000000−666−6−666−60000000000000000000000000
χ674-44-4-2002-224-44-400-4-444000-2002-22002-22-20000000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000000
χ684-44-4-2002-224-44-400-4-444000-2002-22002-22-20000000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000000
χ694-4-444-44-4-44-111-1-440000000-11-111-10000004-400−55−55−551-1000000000000000000−55−5500000000000-1100000000
χ704-4-444-44-4-44-111-1-440000000-11-111-10000004-4005−55−55−51-10000000000000000005−55−500000000000-1100000000
χ714-4-444-44-4-44-111-1-440000000-11-111-1000000-4400−55−55−551-10000000000000000005−55−5000000000001-100000000
χ724-4-444-44-4-44-111-1-440000000-11-111-1000000-44005−55−55−51-1000000000000000000−55−55000000000001-100000000
χ734-4-44-2-4422-24-4-442-24-4-44000-2-4422-2-44-2-22200000000002-2000000002-2000000000000000000000000000000000
χ744-4-44-2-4422-24-4-442-2-444-4000-2-4422-24-422-2-200000000002-200000000-22000000000000000000000000000000000
χ7588888-8-8888-2-2-2-2-8-80000000-222-2-2-20000000000000000220000000000000000000000000000000000000000000
χ768888-488-4-4-4-2-2-2-2-4-400008-4-41-2-21110000000000-2-21111110000000000000000000000000000000000000000000
χ778888-488-4-4-4-2-2-2-2-4-40000-8441-2-2111000000000022-1-1-1-1110000000000000000000000000000000000000000000
χ788888-4-8-8-4-4-4-2-2-2-2440000000122111000000000000−i15i15i15−i15-1-10000000000000000000000000000000000000000000
χ798888-4-8-8-4-4-4-2-2-2-2440000000122111000000000000i15−i15−i15i15-1-10000000000000000000000000000000000000000000
χ8088-8-88008-8-8-2-222000000000-200-22200000000−4i24i200000000000000000000000000i2i2−i2−i2000000000000000000000
χ8188-8-88008-8-8-2-222000000000-200-222000000004i2−4i200000000000000000000000000−i2−i2i2i2000000000000000000000
χ828-88-8800-88-8-22-22000000000-2002-22000000000000000000000000000000000000i10−i10−i10i10000000000000000000000
χ838-88-8800-88-8-22-22000000000-2002-22000000000000000000000000000000000000−i10i10i10−i10000000000000000000000
χ848-8-8888-8-8-88-222-28-80000000-2-2222-20000000000000000-220000000000000000000000000000000000000000000
χ858-8-88-48-844-4-222-2-4400000−4i34i31-22-1-11000000000000i3i3−i3−i31-10000000000000000000000000000000000000000000
χ868-8-88-48-844-4-222-2-44000004i3−4i31-22-1-11000000000000−i3−i3i3i31-10000000000000000000000000000000000000000000
χ878-8-88-4-8844-4-222-24-4000000012-2-1-110000000000−25255−55−5-110000000000000000000000000000000000000000000
χ888-8-88-4-8844-4-222-24-4000000012-2-1-11000000000025−25−55−55-110000000000000000000000000000000000000000000
χ891616-16-16-800-888-4-4440000000002002-2-20000000000000000000000000000000000000000000000000000000000000
χ9016-1616-16-8008-88-44-44000000000200-22-20000000000000000000000000000000000000000000000000000000000000

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