Finite Group Databasebeta

← Group #11787118

Character table — Group #11787118

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order124422233444661212121236666666661212121212121212121266881212242424242424242424242424242424248888888844441212121212121212242424242424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ911-1-111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i1-11-111-1-111-1-1ii−i−iii−i−i1-11-1ii−i−i
χ1011-1-111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii1-1-1111-1-1-1-111ii−i−i−i−iii-11-11−i−iii
χ1111-1-111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i-111-1-1-11111-1-1−i−iiiii−i−i-11-11−i−iii
χ1211-1-111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii-11-11-1-111-1-111−i−iii−i−iii1-11-1ii−i−i
χ1311-1-111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i-11-11-1-111-1-111ii−i−iii−i−i1-11-1−i−iii
χ1411-1-111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii-111-1-1-11111-1-1ii−i−i−i−iii-11-11ii−i−i
χ1511-1-111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i1-1-1111-1-1-1-111−i−iiiii−i−i-11-11ii−i−i
χ1611-1-111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii1-11-111-1-111-1-1−i−iii−i−iii1-11-1−i−iii
χ1722222222-12222-122-1-1-122-1-1-1-1-12-122-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-10000222200220000-1-1-1-10000-1-1-1-100000000
χ1822222222-12222-122-1-1-122-1-1-1-1-12-122-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200-2-2000011110000111100000000
χ1922222222-12222-122-1-1-122-1-1-1-1-12-122-1-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-21111110000222200-2-2000011110000-1-1-1-100000000
χ2022222222-12222-122-1-1-122-1-1-1-1-12-122-1-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-21111110000-2-2-2-200220000-1-1-1-10000111100000000
χ212222222-12222-12-1-122-1-1-122-1-1-1-12-1-122-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1222200002200-1-1-1-10000-1-1-1-1000000000000
χ222222222-12222-12-1-122-1-1-122-1-1-1-12-1-122-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-20000-2-200111100001111000000000000
χ232222222-12222-12-1-122-1-1-122-1-1-1-12-1-122-1-1-12-1-1-1-1-2-2-1-111-2-2111111-2-2111122220000-2-20011110000-1-1-1-1000000000000
χ242222222-12222-12-1-122-1-1-122-1-1-1-12-1-122-1-1-12-1-1-1-1-2-2-1-111-2-2111111-2-21111-2-2-2-200002200-1-1-1-100001111000000000000
χ2522222-2-222-2-2222222222-22-2222-2-2-2-2-2-2222222-2-200-2-2000000000000000000000000000000000000000000002-2-220000
χ2622222-2-222-2-2222222222-22-2222-2-2-2-2-2-2222222-2-200-2-200000000000000000000000000000000000000000000-222-20000
χ272222-22-2222-2-22222222-22-2-2-2-22-222-22-222-2-2-2-22-2002-200000000000000002-22-200000000000000002-22-2000000000000
χ282222-22-2222-2-22222222-22-2-2-2-22-222-22-222-2-2-2-22-2002-20000000000000000-22-220000000000000000-22-22000000000000
χ292222-22-2-122-2-2-12-1-122-11-1-2-211-112-112-2-1-11-211-1100-113−30033−3−33−30033−3−32-22-2000000003−33−30000-11-11000000000000
χ302222-22-2-122-2-2-12-1-122-11-1-2-211-112-112-2-1-11-211-1100-113−30033−3−33−30033−3−3-22-2200000000−33−3300001-11-1000000000000
χ312222-22-2-122-2-2-12-1-122-11-1-2-211-112-112-2-1-11-211-1100-11−3300−3−333−3300−3−3332-22-200000000−33−330000-11-11000000000000
χ322222-22-2-122-2-2-12-1-122-11-1-2-211-112-112-2-1-11-211-1100-11−3300−3−333−3300−3−333-22-22000000003−33−300001-11-1000000000000
χ332222-2-2222-22-22222222-2-2-22-2-222-2-22-2222-2-2-2-2-2200-22000000000000000000002-22-200000000000000002-22-200000000
χ342222-2-2222-22-22222222-2-2-22-2-222-2-22-2222-2-2-2-2-2200-2200000000000000000000-22-220000000000000000-22-2200000000
χ352222-2-222-1-22-22-122-1-1-1-2-21-111-121-221-1-1-1-21111-1001-1003−33−33−3003−33−33−300002-22-2000000003−33−30000-11-1100000000
χ362222-2-222-1-22-22-122-1-1-1-2-21-111-121-221-1-1-1-21111-1001-1003−33−33−3003−33−33−30000-22-2200000000−33−3300001-11-100000000
χ372222-2-222-1-22-22-122-1-1-1-2-21-111-121-221-1-1-1-21111-1001-100−33−33−3300−33−33−3300002-22-200000000−33−330000-11-1100000000
χ382222-2-222-1-22-22-122-1-1-1-2-21-111-121-221-1-1-1-21111-1001-100−33−33−3300−33−33−330000-22-22000000003−33−300001-11-100000000
χ3922-2-22222-1-2-2-22-1-2-211-122-1-1-1-1-12-1-2-21111-2111-1-12i−2i112i2i−i−i−i−i−i−i−2i−2iiiiiii00002i2i−2i−2i002-20000-1-1110000−i−iii00000000
χ4022-2-22222-1-2-2-22-1-2-211-122-1-1-1-1-12-1-2-21111-2111-1-12i−2i112i2i−i−i−i−i−i−i−2i−2iiiiiii0000−2i−2i2i2i00-22000011-1-10000ii−i−i00000000
χ4122-2-22222-1-2-2-22-1-2-211-122-1-1-1-1-12-1-2-21111-2111-1-1−2i2i11−2i−2iiiiiii2i2i−i−i−i−i−i−i00002i2i−2i−2i00-22000011-1-10000−i−iii00000000
χ4222-2-22222-1-2-2-22-1-2-211-122-1-1-1-1-12-1-2-21111-2111-1-1−2i2i11−2i−2iiiiiii2i2i−i−i−i−i−i−i0000−2i−2i2i2i002-20000-1-1110000ii−i−i00000000
χ4322-2-2222-12-2-2-2-1211-2-2-1-1-122-1-1-1-1211-2-2111-211-1-12i−2i11−i−i2i2i−i−i−i−iii−2i−2iiiii2i2i−2i−2i00002-200-1-1110000−i−iii000000000000
χ4422-2-2222-12-2-2-2-1211-2-2-1-1-122-1-1-1-1211-2-2111-211-1-12i−2i11−i−i2i2i−i−i−i−iii−2i−2iiiii−2i−2i2i2i0000-220011-1-10000ii−i−i000000000000
χ4522-2-2222-12-2-2-2-1211-2-2-1-1-122-1-1-1-1211-2-2111-211-1-1−2i2i11ii−2i−2iiiii−i−i2i2i−i−i−i−i2i2i−2i−2i0000-220011-1-10000−i−iii000000000000
χ4622-2-2222-12-2-2-2-1211-2-2-1-1-122-1-1-1-1211-2-2111-211-1-1−2i2i11ii−2i−2iiiii−i−i2i2i−i−i−i−i−2i−2i2i2i00002-200-1-1110000ii−i−i000000000000
χ4722-2-22-2-22222-222-2-2-2-222-22-2222-2-22222-2-2-2-2-2-2-2-200220000000000000000000000000000000000000000000022-2-20000
χ4822-2-22-2-22222-222-2-2-2-222-22-2222-2-22222-2-2-2-2-2-2-2-2002200000000000000000000000000000000000000000000-2-2220000
χ4922-2-2-22-222-22222-2-2-2-22-22-2-2-2-22-22-22-22-2-222222-200-2200000000000000002i−2i−2i2i00000000000000002i−2i−2i2i000000000000
χ5022-2-2-22-222-22222-2-2-2-22-22-2-2-2-22-22-22-22-2-222222-200-220000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i000000000000
χ5122-2-2-22-2-12-222-1211-2-2-11-1-2-211-1121-1-2211-12-1-1-11001-1−i3i300−i3−i3i3i3i3−i300i3i3−i3−i32i−2i−2i2i00000000−333−30000−iii−i000000000000
χ5222-2-2-22-2-12-222-1211-2-2-11-1-2-211-1121-1-2211-12-1-1-11001-1−i3i300−i3−i3i3i3i3−i300i3i3−i3−i3−2i2i2i−2i000000003−3−330000i−i−ii000000000000
χ5322-2-2-22-2-12-222-1211-2-2-11-1-2-211-1121-1-2211-12-1-1-11001-1i3−i300i3i3−i3−i3−i3i300−i3−i3i3i32i−2i−2i2i000000003−3−330000−iii−i000000000000
χ5422-2-2-22-2-12-222-1211-2-2-11-1-2-211-1121-1-2211-12-1-1-11001-1i3−i300i3i3−i3−i3−i3i300−i3−i3i3i3−2i2i2i−2i00000000−333−30000i−i−ii000000000000
χ5522-2-2-2-22222-2222-2-2-2-22-2-2-22-2-222-22-22-2-2-22222-22002-2000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i00000000
χ5622-2-2-2-22222-2222-2-2-2-22-2-2-22-2-222-22-22-2-2-22222-22002-200000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i00000000
χ5722-2-2-2-222-12-222-1-2-211-1-2-21-111-1212-2-11112-1-1-11-100-1100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i300002i−2i−2i2i00000000−333−30000−iii−i00000000
χ5822-2-2-2-222-12-222-1-2-211-1-2-21-111-1212-2-11112-1-1-11-100-1100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i30000−2i2i2i−2i000000003−3−330000i−i−ii00000000
χ5922-2-2-2-222-12-222-1-2-211-1-2-21-111-1212-2-11112-1-1-11-100-1100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i300002i−2i−2i2i000000003−3−330000−iii−i00000000
χ6022-2-2-2-222-12-222-1-2-211-1-2-21-111-1212-2-11112-1-1-11-100-1100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i30000−2i2i2i−2i00000000−333−30000i−i−ii00000000
χ614444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-2-211114411-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-2-21111-4-4112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ6344444-4-44-2-4-444-244-2-2-24-4-22-2-2-2-42-4-422-2-24-2-2-22200220000000000000000000000000000000000000000000000000000
χ6444444-4-4-24-4-44-24-2-244-2-224-4-2-2-22-422-4-4-2-2-24-2-22200220000000000000000000000000000000000000000000000000000
χ6544444-4-4-2-2-4-44-2-2-2-2-2-21-22-2211122222211-2-211-1-100-1-100003-3-3300003-3-33000000000000000000000000000000000000
χ6644444-4-4-2-2-4-44-2-2-2-2-2-21-22-2211122222211-2-211-1-100-1-10000-333-30000-333-3000000000000000000000000000000000000
χ674444-44-44-24-4-44-244-2-2-2-442222-2-4-24-4-22-2-2-4222-2200-220000000000000000000000000000000000000000000000000000
χ684444-44-4-2-24-4-4-2-2-2-2-2-212-222-1-112-2-22-221122-1-11-1001-123−2300−3−33323−2300−3−333000000000000000000000000000000000000
χ694444-44-4-2-24-4-4-2-2-2-2-2-212-222-1-112-2-22-221122-1-11-1001-1−23230033−3−3−23230033−3−3000000000000000000000000000000000000
χ704444-4-44-24-44-4-24-2-244-222-4422-2-2-42-2-44-2-22-4222-2002-20000000000000000000000000000000000000000000000000000
χ714444-4-44-2-2-44-4-2-2-2-2-2-21222-2-1-11-222-22-21122-1-1-1100-110023−23−33−330023−23−33−33000000000000000000000000000000000000
χ724444-4-44-2-2-44-4-2-2-2-2-2-21222-2-1-11-222-22-21122-1-1-1100-1100−23233−33−300−23233−33−3000000000000000000000000000000000000
χ7344-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-22222-1-122-1-1114i−4i-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000000000000000000000
χ7444-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-22222-1-122-1-111−4i4i-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000000000000000000000
χ7544-4-44-4-44-244-44-2-4-422-24-4-22-2-2-2-4244-2-222-42222200-2-20000000000000000000000000000000000000000000000000000
χ7644-4-44-4-4-2444-4-2422-4-4-2-224-4-2-2-22-4-2-244222-4222200-2-20000000000000000000000000000000000000000000000000000
χ7744-4-44-4-4-2-244-4-2-222221-22-2211122-2-2-2-2-1-122-1-1-1-1001100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000
χ7844-4-44-4-4-2-244-4-2-222221-22-2211122-2-2-2-2-1-122-1-1-1-100110000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000
χ7944-4-4-44-44-2-4444-2-4-422-2-442222-2-4-2-442-2224-2-2-2-22002-20000000000000000000000000000000000000000000000000000
χ8044-4-4-44-4-2-2-444-2-2222212-222-1-112-22-22-2-1-1-2-2111-100-11−2i32i300i3i3−i3−i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000
χ8144-4-4-44-4-2-2-444-2-2222212-222-1-112-22-22-2-1-1-2-2111-100-112i3−2i300−i3−i3i3i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000
χ8244-4-4-4-44-244-44-2422-4-4-222-4422-2-2-4-224-422-24-2-22-200-220000000000000000000000000000000000000000000000000000
χ8344-4-4-4-44-2-24-44-2-222221222-2-1-11-22-22-22-1-1-2-211-11001-100−2i32i3i3−i3i3−i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ8444-4-4-4-44-2-24-44-2-222221222-2-1-11-22-22-22-1-1-2-211-11001-1002i3−2i3−i3i3−i3i300−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i4000000-40000004i−4i00000000000000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13
χ864-44i−4i00044000-4-44i−4i4i−4i4000000-40000004i−4i0000000000000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13
χ874-4−4i4i00044000-4-4−4i4i−4i4i4000000-4000000−4i4i0000000000000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23
χ884-4−4i4i00044000-4-4−4i4i−4i4i4000000-4000000−4i4i00000000000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23
χ898-88i−8i0008-4000-848i−8i−4i4i-40000004000000−4i4i00000000000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-8−4i4i8i−8i-40000004000000−4i4i00000000000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i200006-6-20000002i−2i006i−6i0000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i20000-66-20000002i−2i00−6i6i0000000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-84−8i8i4i−4i-400000040000004i−4i00000000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-84i−4i−8i8i-400000040000004i−4i00000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i200006-6-2000000−2i2i00−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i20000-66-2000000−2i2i006i−6i0000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.