Finite Group Databasebeta

← Group #14300210

Character table — Group #14300210

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222244444455558888888881010101010101212121216161616161616162020202020202020202020202020202020202424242430303030404040404040404848606060606060120120
order1222344666510101012122222412121520203030304466664488202060606060606044448888121224242424242424244040404044444121212121212202044448844
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
χ511111111111111111111-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111111-1-1-1-1
χ611111111111111111111-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1111111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1
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
χ131111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1ii−i−i−i−iii-1-1−i−i−i−iiiii-1-1-1-1ii−i−i111ii−i−i11-1-1i−i11−ii
χ141111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1−i−iiiii−i−i-1-1iiii−i−i−i−i-1-1-1-1−i−iii111−i−iii11-1-1−ii11i−i
χ151111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1ii−i−i−i−iii-1-1−i−i−i−iiiii1111−i−iii111ii−i−i-1-111−ii-1-1i−i
χ161111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1−i−iiiii−i−i-1-1iiii−i−i−i−i1111ii−i−i111−i−iii-1-111i−i-1-1−ii
χ1722222-2-22222222-2-222220002-2-2222-2-22222000000-2-2000000000000-2-2000000000000222200000000000-2-20000
χ1822222-2-22222222-2-222220002-2-2222-2-22222000000-2-2000000000000-2-2000000000000-2-2-2-200000000000220000
χ1922222-2-22222222-2-2-2-2-2-20002-2-222222-2-2-2-2000000-2-2000000000000220000000000002i2i−2i−2i00000000000−2i2i0000
χ2022222-2-22222222-2-2-2-2-2-20002-2-222222-2-2-2-2000000-2-200000000000022000000000000−2i−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
χ232222-122-1-1-12222-1-12222-211-122-1-1-122-1-1-1-10000-2-2-1-111112222-2-2-2-2-1-11111111100000000-211-1-1-1-10000000000
χ242222-122-1-1-12222-1-12222-211-122-1-1-122-1-1-1-10000-2-2-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1-1-100000000-21111110000000000
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
χ272222-122-1-1-12222-1-1-2-2-2-2-211-122-1-1-1-2-211110000-2-2-1-111112i2i−2i−2i−2i−2i2i2i11iiii−i−i−i−i000000002-1-1−i−iii0000000000
χ282222-122-1-1-12222-1-1-2-2-2-2-211-122-1-1-1-2-211110000-2-2-1-11111−2i−2i2i2i2i2i−2i−2i11−i−i−i−iiiii000000002-1-1ii−i−i0000000000
χ292-22-2200-2-222-22-2002-22-2000200-2-22002-2-2200−i2i20000000000002−22−20022−2−222−2−2−i2−i2i2i22i−2i2i−2i0000000000000−i2i200
χ302-22-2200-2-222-22-2002-22-2000200-2-22002-2-2200−i2i2000000000000−22−2200−2−222−2−222−i2−i2i2i2−2i2i−2i2i0000000000000−i2i200
χ312-22-2200-2-222-22-2002-22-2000200-2-22002-2-2200i2−i20000000000002−22−20022−2−222−2−2i2i2−i2−i2−2i2i−2i2i0000000000000i2−i200
χ322-22-2200-2-222-22-2002-22-2000200-2-22002-2-2200i2−i2000000000000−22−2200−2−222−2−222i2i2−i2−i22i−2i2i−2i0000000000000i2−i200
χ332-22-2200-2-222-22-200-22-22000200-2-2200-222-200−i2i2000000000000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i22-2-220000000000000i2−i200
χ342-22-2200-2-222-22-200-22-22000200-2-2200-222-200−i2i2000000000000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-222-20000000000000i2−i200
χ352-22-2200-2-222-22-200-22-22000200-2-2200-222-200i2−i2000000000000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-222-20000000000000−i2i200
χ362-22-2200-2-222-22-200-22-22000200-2-2200-222-200i2−i2000000000000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i22-2-220000000000000−i2i200
χ372-2-2222-2-22-22-2-222-222-2-200022-2-22-22-222-2-22-200002-20000000000002-2000000000000000000000002-22-2000000
χ382-2-2222-2-22-22-2-222-222-2-200022-2-22-22-222-2-2-2200002-20000000000002-200000000000000000000000-22-22000000
χ392-2-2222-2-22-22-2-222-2-2-22200022-2-22-2-22-2-2222-200002-2000000000000-22000000000000000000000002-2-22000000
χ402-2-2222-2-22-22-2-222-2-2-22200022-2-22-2-22-2-222-2200002-2000000000000-2200000000000000000000000-222-2000000
χ412-2-222-22-22-22-2-22-2222-2-20002-22-22-2-2222-2-2000000-2200002i−2i2i−2i0000-2200000000000000000002i−2i2i−2i0000000000
χ422-2-222-22-22-22-2-22-2222-2-20002-22-22-2-2222-2-2000000-220000−2i2i−2i2i0000-220000000000000000000−2i2i−2i2i0000000000
χ432-2-222-22-22-22-2-22-22-2-2220002-22-22-22-2-2-222000000-2200002-2-2200002-200000000000000000002-2-220000000000
χ442-2-222-22-22-22-2-22-22-2-2220002-22-22-22-2-2-222000000-220000-222-200002-20000000000000000000-222-20000000000
χ452-2-22-1-221-112-2-221-122-2-203−3-1-221-11-22-1-1110000001-133−3−32i−2i2i−2i00001-1−i3i3−i3i3−i3i3−i3i30000000003−3−ii−ii0000000000
χ462-2-22-1-221-112-2-221-122-2-203−3-1-221-11-22-1-1110000001-133−3−3−2i2i−2i2i00001-1i3−i3i3−i3i3−i3i3−i30000000003−3i−ii−i0000000000
χ472-2-22-1-221-112-2-221-122-2-20−33-1-221-11-22-1-1110000001-1−3−3332i−2i2i−2i00001-1i3−i3i3−i3i3−i3i3−i3000000000−33−ii−ii0000000000
χ482-2-22-1-221-112-2-221-122-2-20−33-1-221-11-22-1-1110000001-1−3−333−2i2i−2i2i00001-1−i3i3−i3i3−i3i3−i3i3000000000−33i−ii−i0000000000
χ492-2-22-1-221-112-2-221-1-2-22203−3-1-221-112-211-1-10000001-133−3−32-2-220000-11−33−333−33−3000000000−33-111-10000000000
χ502-2-22-1-221-112-2-221-1-2-22203−3-1-221-112-211-1-10000001-133−3−3-222-20000-113−33−3−33−33000000000−331-1-110000000000
χ512-2-22-1-221-112-2-221-1-2-2220−33-1-221-112-211-1-10000001-1−3−3332-2-220000-113−33−3−33−330000000003−3-111-10000000000
χ522-2-22-1-221-112-2-221-1-2-2220−33-1-221-112-211-1-10000001-1−3−333-222-20000-11−33−333−33−30000000003−31-1-110000000000
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
χ554444444444-1-1-1-1440000-4-4-4-1-1-1-1-1-100000044-4-411-1-11111000000000000000000111100000000000-1-100000000
χ564444444444-1-1-1-1440000-4-4-4-1-1-1-1-1-1000000-4-44411-1-11111000000000000000000-1-1-1-1000000000001100000000
χ574444-2-4-4-2-2-24444224444000-2-4-4-2-2-2-4-4-2-2-2-20000002200000000000022000000000000000000000000000000000
χ584444-2-4-4-2-2-2444422-4-4-4-4000-2-4-4-2-2-244222200000022000000000000-2-2000000000000000000000000000000000
χ5944-4-44004-4-444-4-4004-4-440004004-4-4004-44-40000000000000000000000000000000000000000000000000000000
χ6044-4-44004-4-444-4-400-444-40004004-4-400-44-440000000000000000000000000000000000000000000000000000000
χ6144-4-4-200-22244-4-4004-4-44000-200-22200-22-220000000000000000000000−i6i6i6−i6−i6i6i6−i60000000000000000000000000
χ6244-4-4-200-22244-4-4004-4-44000-200-22200-22-220000000000000000000000i6−i6−i6i6i6−i6−i6i60000000000000000000000000
χ6344-4-4-200-22244-4-400-444-4000-200-222002-22-200000000000000000000006−6−66−666−60000000000000000000000000
χ6444-4-4-200-22244-4-400-444-4000-200-222002-22-20000000000000000000000−666−66−6−660000000000000000000000000
χ654-44-4-20022-24-44-4004-44-4000-20022-200-222-2000000000000000022−2222−2200−2−222−2−2220000000000000000000000000
χ664-44-4-20022-24-44-4004-44-4000-20022-200-222-20000000000000000−2222−22220022−2−222−2−20000000000000000000000000
χ674-44-4-20022-24-44-400-44-44000-20022-2002-2-220000000000000000−2i22i22i2−2i200i2i2−i2−i2−i2−i2i2i20000000000000000000000000
χ684-44-4-20022-24-44-400-44-44000-20022-2002-2-2200000000000000002i2−2i2−2i22i200−i2−i2i2i2i2i2−i2−i20000000000000000000000000
χ694-4-4444-4-44-4-111-14-40000000-1-111-110000004-400−i5i5-11−i5i5−i5i5000000000000000000−i5i5−i5i500000000000-1100000000
χ704-4-4444-4-44-4-111-14-40000000-1-111-110000004-400i5−i5-11i5−i5i5−i5000000000000000000i5−i5i5−i500000000000-1100000000
χ714-4-4444-4-44-4-111-14-40000000-1-111-11000000-4400−i5i5-11−i5i5−i5i5000000000000000000i5−i5i5−i5000000000001-100000000
χ724-4-4444-4-44-4-111-14-40000000-1-111-11000000-4400i5−i5-11i5−i5i5−i5000000000000000000−i5i5−i5i5000000000001-100000000
χ734-4-44-24-42-224-4-44-2244-4-4000-24-42-224-4-2-222000000-22000000000000-22000000000000000000000000000000000
χ744-4-44-24-42-224-4-44-22-4-444000-24-42-22-4422-2-2000000-220000000000002-2000000000000000000000000000000000
χ7588888-8-8888-2-2-2-2-8-80000000-222-2-2-20000000000002200000000000000000000000000000000000000000000000
χ768888-488-4-4-4-2-2-2-2-4-400008-4-41-2-21110000000000-2-21111110000000000000000000000000000000000000000000
χ778888-488-4-4-4-2-2-2-2-4-40000-8441-2-211100000000002211-1-1-1-10000000000000000000000000000000000000000000
χ788888-4-8-8-4-4-4-2-2-2-2440000000122111000000000000-1-1−i15i15i15−i150000000000000000000000000000000000000000000
χ798888-4-8-8-4-4-4-2-2-2-2440000000122111000000000000-1-1i15−i15−i15i150000000000000000000000000000000000000000000
χ8088-8-88008-8-8-2-222000000000-200-22200000000000000000000000000000000000010−10−1010000000000000000000000
χ8188-8-88008-8-8-2-222000000000-200-222000000000000000000000000000000000000−101010−10000000000000000000000
χ828-88-8800-8-88-22-22000000000-20022-200000000−4i24i200000000000000000000000000i2i2−i2−i2000000000000000000000
χ838-88-8800-8-88-22-22000000000-20022-2000000004i2−4i200000000000000000000000000−i2−i2i2i2000000000000000000000
χ848-8-888-88-88-8-222-2-880000000-22-22-220000000000002-200000000000000000000000000000000000000000000000
χ858-8-88-48-84-44-222-2-4400000001-22-11-10000000000−2i52i51-1i5−i5i5−i50000000000000000000000000000000000000000000
χ868-8-88-48-84-44-222-2-4400000001-22-11-100000000002i5−2i51-1−i5i5−i5i50000000000000000000000000000000000000000000
χ878-8-88-4-884-44-222-24-40000043−4312-2-11-1000000000000-11−3−3330000000000000000000000000000000000000000000
χ888-8-88-4-884-44-222-24-400000−434312-2-11-1000000000000-1133−3−30000000000000000000000000000000000000000000
χ891616-16-16-800-888-4-4440000000002002-2-20000000000000000000000000000000000000000000000000000000000000
χ9016-1616-16-80088-8-44-44000000000200-2-220000000000000000000000000000000000000000000000000000000000000

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