Finite Group Databasebeta

← Group #11789683

Character table — Group #11789683

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order122222334444666666366666661212121212121212121212126688121224242424242424242424242424242424444488888888224466661212121212121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1
χ911-1-11-11111-1-1-1-111-1-111-11-1-1-111-1-1-1-1-1-1111111-11-11-111111111-1-1-1-1-1-1-1-1i−ii−i11-1-1ii−i−i1-1i−i11-1-1i−ii−iii−i−i11-1-1i−ii−i
χ1011-1-11-11111-1-1-1-111-1-111-11-1-1-111-1-1-1-1-1-1111111-11-11-111111111-1-1-1-1-1-1-1-1i−ii−i-1-111−i−iii-11i−i-1-111i−ii−iii−i−i-1-111−ii−ii
χ1111-1-11-11111-1-1-1-111-1-111-11-1-1-111-1-1-1-1-1-1111111-11-11-111111111-1-1-1-1-1-1-1-1−ii−ii11-1-1−i−iii1-1−ii11-1-1−ii−ii−i−iii11-1-1−ii−ii
χ1211-1-11-11111-1-1-1-111-1-111-11-1-1-111-1-1-1-1-1-1111111-11-11-111111111-1-1-1-1-1-1-1-1−ii−ii-1-111ii−i−i-11−ii-1-111−ii−ii−i−iii-1-111i−ii−i
χ1311-1-11-11111-1-1-1-111-1-111-11-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111111111i−ii−i11-1-1ii−i−i-11−ii-1-111i−ii−i−i−iii11-1-1i−i−ii
χ1411-1-11-11111-1-1-1-111-1-111-11-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111111111i−ii−i-1-111−i−iii1-1−ii11-1-1i−ii−i−i−iii-1-111−iii−i
χ1511-1-11-11111-1-1-1-111-1-111-11-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111111111−ii−ii11-1-1−i−iii-11i−i-1-111−ii−iiii−i−i11-1-1−iii−i
χ1611-1-11-11111-1-1-1-111-1-111-11-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111111111−ii−ii-1-111ii−i−i1-1i−i11-1-1−ii−iiii−i−i-1-111i−i−ii
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000
χ192222222-12222-1-12-122-122-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-10000222200002200-1-1-1-100000000-1-1-1-10000
χ202222222-12222-1-12-122-122-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-20000-2-20011110000000011110000
χ212222222-12222-1-12-122-122-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-2-2-1-1-2-2111111-2-2111111000022220000-2-200111100000000-1-1-1-10000
χ222222222-12222-1-12-122-122-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-2-2-1-1-2-2111111-2-21111110000-2-2-2-200002200-1-1-1-10000000011110000
χ232222222-1-2-2-2-2-1-12-122-122-1-1-1-1-1-2-2-21111-21111-1-1001100333−3−3−300333−3−3−300002i−2i2i−2i00000000−i3i3−i3i300000000−ii−ii0000
χ242222222-1-2-2-2-2-1-12-122-122-1-1-1-1-1-2-2-21111-21111-1-1001100333−3−3−300333−3−3−30000−2i2i−2i2i00000000i3−i3i3−i300000000i−ii−i0000
χ252222222-1-2-2-2-2-1-12-122-122-1-1-1-1-1-2-2-21111-21111-1-1001100−3−3−333300−3−3−333300002i−2i2i−2i00000000i3−i3i3−i300000000−ii−ii0000
χ262222222-1-2-2-2-2-1-12-122-122-1-1-1-1-1-2-2-21111-21111-1-1001100−3−3−333300−3−3−33330000−2i2i−2i2i00000000−i3i3−i3i300000000i−ii−i0000
χ27222222-12222222-12-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-12-1-122-1-1-1-12-1-12-1-1-1-12-1-12-1-122220000000000220000-1-1-1-1-1-1-1-100000000
χ28222222-12222222-12-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-12-1-122-1-1-1-12-1-12-1-1-1-12-1-12-1-1-2-2-2-20000000000-2-200001111111100000000
χ29222222-12222222-12-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-111-211-21111-211-21122220000000000-2-20000-1-1-1-1111100000000
χ30222222-12222222-12-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-111-211-21111-211-211-2-2-2-200000000002200001111-1-1-1-100000000
χ312222-2-2222-22-22222222-2-2-2-2222-22-22-2222222-2-2-200-2-2000000000000000022-2-2000000000000000022-2-2000000000000
χ322222-2-2222-22-22222222-2-2-2-2222-22-22-2222222-2-2-200-2-20000000000000000-2-2220000000000000000-2-222000000000000
χ332222-2-222-22-222222222-2-2-2-22222-22-22-2-2-2-2-2-22-2-20022000000000000000000000000222200000000000000000000-2-200
χ342222-2-222-22-222222222-2-2-2-22222-22-22-2-2-2-2-2-22-2-20022000000000000000000000000-2-2-2-2000000000000000000002200
χ352222-2-2-122-22-222-12-1-1-111-2-2-1-1-11-112-2-1-1-12-1-1-2110011−i3i30−i3i30−i3i3−i3i30−i3i30−i3i322-2-20000000000000000-1-111−i3i3−i3i300000000
χ362222-2-2-122-22-222-12-1-1-111-2-2-1-1-11-112-2-1-1-12-1-1-2110011−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3-2-222000000000000000011-1-1i3−i3i3−i300000000
χ372222-2-2-122-22-222-12-1-1-111-2-2-1-1-11-112-2-1-1-12-1-1-2110011i3−i30i3−i30i3−i3i3−i30i3−i30i3−i322-2-20000000000000000-1-111i3−i3i3−i300000000
χ382222-2-2-122-22-222-12-1-1-111-2-2-1-1-11-112-2-1-1-12-1-1-2110011i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3-2-222000000000000000011-1-1−i3i3−i3i300000000
χ3922-2-22-222-2-222-2-222-2-222-22-2-2-22-2222222-2-2-2-2-22-200-22000000000000000000002i−2i−2i2i000000000000000000002i−2i−2i2i0000
χ4022-2-22-222-2-222-2-222-2-222-22-2-2-22-2222222-2-2-2-2-22-200-2200000000000000000000−2i2i2i−2i00000000000000000000−2i2i2i−2i0000
χ4122-2-22-22-122-2-2112-1-2-2-12-2-1111-12-2-211112-1-1-1-1-112-2-1122-1-1-1-1-1-1-2-2111111000022-2-200002-200-1-11100000000-1-1110000
χ4222-2-22-22-122-2-2112-1-2-2-12-2-1111-12-2-211112-1-1-1-1-112-2-1122-1-1-1-1-1-1-2-21111110000-2-2220000-220011-1-10000000011-1-10000
χ4322-2-22-22-122-2-2112-1-2-2-12-2-1111-12-2-211112-1-1-1-1-11-22-11-2-211111122-1-1-1-1-1-1000022-2-20000-220011-1-100000000-1-1110000
χ4422-2-22-22-122-2-2112-1-2-2-12-2-1111-12-2-211112-1-1-1-1-11-22-11-2-211111122-1-1-1-1-1-10000-2-22200002-200-1-1110000000011-1-10000
χ4522-2-22-22-1-2-222112-1-2-2-12-2-1111-1-222-1-1-1-1-21111-11001-100333−3−3−300−3−3−333300002i−2i−2i2i00000000−i3i3i3−i300000000−iii−i0000
χ4622-2-22-22-1-2-222112-1-2-2-12-2-1111-1-222-1-1-1-1-21111-11001-100333−3−3−300−3−3−33330000−2i2i2i−2i00000000i3−i3−i3i300000000i−i−ii0000
χ4722-2-22-22-1-2-222112-1-2-2-12-2-1111-1-222-1-1-1-1-21111-11001-100−3−3−333300333−3−3−300002i−2i−2i2i00000000i3−i3−i3i300000000−iii−i0000
χ4822-2-22-22-1-2-222112-1-2-2-12-2-1111-1-222-1-1-1-1-21111-11001-100−3−3−333300333−3−3−30000−2i2i2i−2i00000000−i3i3i3−i300000000i−i−ii0000
χ4922-2-22-2-1222-2-2-2-2-1211-1-112-211-1-111-2-211-12-1-12-112-2-11-1-12-1-12-1-111-211-2112i−2i2i−2i00000000002i−2i0000−ii−ii−i−iii00000000
χ5022-2-22-2-1222-2-2-2-2-1211-1-112-211-1-111-2-211-12-1-12-112-2-11-1-12-1-12-1-111-211-211−2i2i−2i2i0000000000−2i2i0000i−ii−iii−i−i00000000
χ5122-2-22-2-1222-2-2-2-2-1211-1-112-211-1-111-2-211-12-1-12-11-22-1111-211-211-1-12-1-12-1-12i−2i2i−2i0000000000−2i2i0000−ii−iiii−i−i00000000
χ5222-2-22-2-1222-2-2-2-2-1211-1-112-211-1-111-2-211-12-1-12-11-22-1111-211-211-1-12-1-12-1-1−2i2i−2i2i00000000002i−2i0000i−ii−i−i−iii00000000
χ5322-2-2-22222-2-22-2-222-2-22-22-22-2-22-2-22-22-2-22222-2-2200-2200000000000000002i−2i−2i2i00000000000000002i−2i−2i2i000000000000
χ5422-2-2-22222-2-22-2-222-2-22-22-22-2-22-2-22-22-2-22222-2-2200-220000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i000000000000
χ5522-2-2-2222-222-2-2-222-2-22-22-22-2-2222-22-222-2-2-2-22-22002-20000000000000000000000002i2i−2i−2i00000000000000000000−2i2i00
χ5622-2-2-2222-222-2-2-222-2-22-22-22-2-2222-22-222-2-2-2-22-22002-2000000000000000000000000−2i−2i2i2i000000000000000000002i−2i00
χ5722-2-2-22-122-2-22-2-2-1211-11-1-2211-111-1-2211-12-1-1-21-1001-1−i3i30−i3i30−i3i3i3−i30i3−i30i3−i32i−2i−2i2i0000000000000000−iii−i3−3−3300000000
χ5822-2-2-22-122-2-22-2-2-1211-11-1-2211-111-1-2211-12-1-1-21-1001-1−i3i30−i3i30−i3i3i3−i30i3−i30i3−i3−2i2i2i−2i0000000000000000i−i−ii−333−300000000
χ5922-2-2-22-122-2-22-2-2-1211-11-1-2211-111-1-2211-12-1-1-21-1001-1i3−i30i3−i30i3−i3−i3i30−i3i30−i3i32i−2i−2i2i0000000000000000−iii−i−333−300000000
χ6022-2-2-22-122-2-22-2-2-1211-11-1-2211-111-1-2211-12-1-1-21-1001-1i3−i30i3−i30i3−i3−i3i30−i3i30−i3i3−2i2i2i−2i0000000000000000i−i−ii3−3−3300000000
χ61444444-24-4-4-4-444-24-2-2-2-2-244-2-2-2222-4-4222-422-4-2-200220000000000000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-2-211-2114411-2-2-211-211-2-2-211-211000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-2-211-211-4-411222-1-12-1-1222-1-12-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211122222-1-122-1-121100-1-10023−3−3−23330023−3−3−2333000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211122222-1-122-1-121100-1-100−233323−3−300−233323−3−3000000000000000000000000000000000000
χ664444-4-44-24-44-4-2-24-244-2-4-422-2-2-2-44-4-22-2-24-2-2-222200220000000000000000000000000000000000000000000000000000
χ674444-4-44-2-44-44-2-24-244-2-4-422-2-2-24-442-222-4222-22200-2-20000000000000000000000000000000000000000000000000000
χ684444-4-4-24-44-4444-24-2-2-222-4-4-2-2-2-22-2-44222-42242200-2-20000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-2122221112-22-2211-2-2112-1-100-1-1−2i32i30i3−i30i3−i3−2i32i30i3−i30i3−i3000000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-2122221112-22-2211-2-2112-1-100-1-12i3−2i30−i3i30−i3i32i3−2i30−i3i30−i3i3000000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-2-2-2-212222111-22-22-2-1-122-1-1-2-1-100110003i−3i0−3i3i0003i−3i0−3i3i000000000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-2-2-2-212222111-22-22-2-1-122-1-1-2-1-10011000−3i3i03i−3i000−3i3i03i−3i000000000000000000000000000000000000
χ7344-4-44-4-24-4-444-4-4-2422-2-224-422-22-2-244-2-22-422-4-22002-20000000000000000000000000000000000000000000000000000
χ7444-4-44-4-2-244-4-422-2-2221-22-22-1-11-22222-1-1-2-211-21-14-41-1-2-2-211-211222-1-12-1-1000000000000000000000000000000000000
χ7544-4-44-4-2-244-4-422-2-2221-22-22-1-11-22222-1-1-2-211-21-1-441-1222-1-12-1-1-2-2-211-211000000000000000000000000000000000000
χ7644-4-44-4-2-2-4-44422-2-2221-22-22-1-112-2-2-2-21122-1-121-100-110023−3−3−233300−233323−3−3000000000000000000000000000000000000
χ7744-4-44-4-2-2-4-44422-2-2221-22-22-1-112-2-2-2-21122-1-121-100-1100−233323−3−30023−3−3−2333000000000000000000000000000000000000
χ7844-4-4-444-24-4-44224-2-4-4-2-442-222-2-4-442-2224-2-2-222-2002-20000000000000000000000000000000000000000000000000000
χ7944-4-4-444-2-444-4224-2-4-4-2-442-222-244-4-22-2-2-4222-22-200-220000000000000000000000000000000000000000000000000000
χ8044-4-4-44-24-444-4-4-4-2422-22-2-4422-2-2-224-4-2-22-42242-200-220000000000000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-4-4422-2-22212-22-2-1-1122-22-2-1-1-2-2112-1100-11−2i32i30i3−i30i3−i32i3−2i30−i3i30−i3i3000000000000000000000000000000000000
χ8244-4-4-44-2-24-4-4422-2-22212-22-2-1-1122-22-2-1-1-2-2112-1100-112i3−2i30−i3i30−i3i3−2i32i30i3−i30i3−i3000000000000000000000000000000000000
χ8344-4-4-44-2-2-444-422-2-22212-22-2-1-11-2-22-221122-1-1-2-11001-10003i−3i0−3i3i000−3i3i03i−3i000000000000000000000000000000000000
χ8444-4-4-44-2-2-444-422-2-22212-22-2-1-11-2-22-221122-1-1-2-11001-1000−3i3i03i−3i0003i−3i0−3i3i000000000000000000000000000000000000
χ854-44-4004400004-4-4-44-4400004-4-4000000000000000000000000000000000000000000−2i22i2−2i22i2000000000000000000000000
χ864-44-4004400004-4-4-44-4400004-4-40000000000000000000000000000000000000000002i2−2i22i2−2i2000000000000000000000000
χ874-4-4400440000-44-4-4-4440000-44-400000000000000000000000000000000000000000022−22−2222000000000000000000000000
χ884-4-4400440000-44-4-4-4440000-44-4000000000000000000000000000000000000000000−222222−22000000000000000000000000
χ898-88-8008-40000-44-848-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4800008-84-8-44-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-40000-4444-44200002-2-2000006i−6i006i−6i00000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-4444-44200002-2-200000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ938-8-88008-400004-4-84-88-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-480000-884-84-4-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004-4444-420000-22-2000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004-4444-420000-22-200000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000000

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