Finite Group Databasebeta

← Group #11864997

Character table — Group #11864997

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order124422233444661212121236666666661212121212121212121266881212242424242424242424242424242424242222444424666666881212121212122424242422444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ911-1-1-1-1111-11111-1-1-1-111-1-11-1-1-1-11-11-1-1-1111111-11-11-111111111-1-1-1-1-1-1-1-11-1111-1-1-11-1111-1111-1-1-11-1-1-111-1-11-11-111-1-1
χ1011-1-1-1-1111-11111-1-1-1-111-1-11-1-1-1-11-11-1-1-1111111-11-11-111111111-1-1-1-1-1-1-1-11-1-1-11-1111-1-1-11-111-11111-1-1-1-1-111-11-11-1-111
χ1111-1-1-1-1111-11111-1-1-1-111-1-11-1-1-1-11-11-1-1-1111111-11-11-111111111-1-1-1-1-1-1-1-1-1111-11-1-1-1111-11-1-11-1-1-1-111111-1-1-11-11-1-111
χ1211-1-1-1-1111-11111-1-1-1-111-1-11-1-1-1-11-11-1-1-1111111-11-11-111111111-1-1-1-1-1-1-1-1-11-1-1-1111-11-1-1-11-1-1-1111-1111-1-1111-11-111-1-1
χ1311-1-1-1-1111-11111-1-1-1-111-1-11-1-1-1-11-11-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1111111111-1111-1-1-1-11111-1-1-1-11-1-11-111-1-1111-11-1-1-111
χ1411-1-1-1-1111-11111-1-1-1-111-1-11-1-1-1-11-11-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1111111111-1-1-11-111-11-1-11-1-1-11-1111-11111-1-1-11-1111-1-1
χ1511-1-1-1-1111-11111-1-1-1-111-1-11-1-1-1-11-11-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111111111-1111-11-1-11-111-1111-11-1-1-11-1-1-1-111-11-1111-1-1
χ1611-1-1-1-1111-11111-1-1-1-111-1-11-1-1-1-11-11-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111111111-11-1-1-11111-1-1-1-11111-111-11-1-111-1-11-11-1-1-111
χ1722222222-12222-122-1-1-1222-1-1-1-1-1-12-1-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1220022002200-1-1-1-10000-1-1-1-1000000000000
χ1822222222-12222-122-1-1-1222-1-1-1-1-1-12-1-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-200-2-200111100001111000000000000
χ1922222222-12222-122-1-1-1222-1-1-1-1-1-12-1-1-1-12-1-1-12-1-1-2-2-1-1-2-2111111-2-211111122002200-2-200-1-1110000-1-111000000000000
χ2022222222-12222-122-1-1-1222-1-1-1-1-1-12-1-1-1-12-1-1-12-1-1-2-2-1-1-2-2111111-2-2111111-2-200-2-200220011-1-1000011-1-1000000000000
χ212222222-12222-12-1-122-1-1-1-1222-1-1-1-122-1-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-10022002200-1-1000022-1-10000-1-1-1-100000000
χ222222222-12222-12-1-122-1-1-1-1222-1-1-1-122-1-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-200-2-200110000-2-2110000111100000000
χ232222222-12222-12-1-122-1-1-1-1222-1-1-1-122-1-1-12-1-1-1-1-1-2-2-1-111-2-2111111-2-211110022002200-1-10000-2-2-1-10000111100000000
χ242222222-12222-12-1-122-1-1-1-1222-1-1-1-122-1-1-12-1-1-1-1-1-2-2-1-111-2-2111111-2-2111100-2-200-2-20011000022110000-1-1-1-100000000
χ2522222-2-222-22-22222222-22-2-22-2222-2-2-2222222-2-2-200-2-200000000000000002-200-220000002-2000000-2200000000000000
χ2622222-2-222-22-22222222-22-2-22-2222-2-2-2222222-2-2-200-2-20000000000000000-22002-2000000-220000002-200000000000000
χ2722222-2-22-1-22-22-122-1-1-1-22-21-11-1-1-1-211-1-12-1-1-1-211001100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i32-200-22000000-11−i3i300001-1−i3i3000000000000
χ2822222-2-22-1-22-22-122-1-1-1-22-21-11-1-1-1-211-1-12-1-1-1-211001100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3-22002-20000001-1i3−i30000-11i3−i3000000000000
χ2922222-2-22-1-22-22-122-1-1-1-22-21-11-1-1-1-211-1-12-1-1-1-211001100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i32-200-22000000-11i3−i300001-1i3−i3000000000000
χ3022222-2-22-1-22-22-122-1-1-1-22-21-11-1-1-1-211-1-12-1-1-1-211001100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3-22002-20000001-1−i3i30000-11−i3i3000000000000
χ312222-22-222-2-222222222-2-22-2-22-2-22-22-222-2-2-2-22-22002-2000000000000000000000000000000000000000000002-2-220000
χ322222-22-222-2-222222222-2-22-2-22-2-22-22-222-2-2-2-22-22002-200000000000000000000000000000000000000000000-222-20000
χ332222-2-22222-2-222222222-2-22-2-2-2-222-2222-2-2-2-2-22-200-220000000000000000002-2002-2002-20000002-20000000000000000
χ342222-2-22222-2-222222222-2-22-2-2-2-222-2222-2-2-2-2-22-200-22000000000000000000-2200-2200-22000000-220000000000000000
χ352222-2-22-122-2-2-12-1-122-1-1112-2-211-1-1-22-1-11-2111-11001-13−3003−33−33−3003−33−3002-2002-200-11000000-1100003−33−300000000
χ362222-2-22-122-2-2-12-1-122-1-1112-2-211-1-1-22-1-11-2111-11001-13−3003−33−33−3003−33−300-2200-22001-10000001-10000−33−3300000000
χ372222-2-22-122-2-2-12-1-122-1-1112-2-211-1-1-22-1-11-2111-11001-1−3300−33−33−3300−33−33002-2002-200-11000000-110000−33−3300000000
χ382222-2-22-122-2-2-12-1-122-1-1112-2-211-1-1-22-1-11-2111-11001-1−3300−33−33−3300−33−3300-2200-22001-10000001-100003−33−300000000
χ3922-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000002-200-22002-2000000-220000000000000000
χ4022-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000-22002-200-220000002-20000000000000000
χ4122-2-2222-12-2-2-2-1211-2-2-1-1-1-1222-1-1-11-2-2111-2111-1-100113−3003−33−3−3300−33−33002-200-2200-110000001-100003−3−3300000000
χ4222-2-2222-12-2-2-2-1211-2-2-1-1-1-1222-1-1-11-2-2111-2111-1-100113−3003−33−3−3300−33−3300-22002-2001-1000000-110000−333−300000000
χ4322-2-2222-12-2-2-2-1211-2-2-1-1-1-1222-1-1-11-2-2111-2111-1-10011−3300−33−333−3003−33−3002-200-2200-110000001-10000−333−300000000
χ4422-2-2222-12-2-2-2-1211-2-2-1-1-1-1222-1-1-11-2-2111-2111-1-10011−3300−33−333−3003−33−300-22002-2001-1000000-1100003−3−3300000000
χ4522-2-22-2-2222-2222-2-2-2-22-22-2-22-2222222-2-2-2-2-2-22-2-200220000000000000000000000000000000000000000000022-2-20000
χ4622-2-22-2-2222-2222-2-2-2-22-22-2-22-2222222-2-2-2-2-2-22-2-2002200000000000000000000000000000000000000000000-2-2220000
χ4722-2-2-22-22222-222-2-2-2-22-2-22-2-22-2-222-22-2-22222-2-2200-2200000000000000002200-2-200000022000000-2-200000000000000
χ4822-2-2-22-22222-222-2-2-2-22-2-22-2-22-2-222-22-2-22222-2-2200-220000000000000000-2-20022000000-2-20000002200000000000000
χ4922-2-2-22-22-122-22-1-2-211-1-2-2211-111-121-1112-1-1-1-21-1001-100−i3i3−i3−i3i3i300i3−i3i3i3−i3−i32200-2-2000000-1-1−i3i3000011i3−i3000000000000
χ5022-2-2-22-22-122-22-1-2-211-1-2-2211-111-121-1112-1-1-1-21-1001-100−i3i3−i3−i3i3i300i3−i3i3i3−i3−i3-2-2002200000011i3−i30000-1-1−i3i3000000000000
χ5122-2-2-22-22-122-22-1-2-211-1-2-2211-111-121-1112-1-1-1-21-1001-100i3−i3i3i3−i3−i300−i3i3−i3−i3i3i32200-2-2000000-1-1i3−i3000011−i3i3000000000000
χ5222-2-2-22-22-122-22-1-2-211-1-2-2211-111-121-1112-1-1-1-21-1001-100i3−i3i3i3−i3−i300−i3i3−i3−i3i3i3-2-2002200000011−i3i30000-1-1i3−i3000000000000
χ5322-2-2-2-222-1-2222-1-2-211-12-2-2-11111-1-2-11112-1-1-12-112-2-1122-1-1-1-1-1-1-2-21111112-2002-2002-200-11-1-10000-1111000000000000
χ5422-2-2-2-222-1-2222-1-2-211-12-2-2-11111-1-2-11112-1-1-12-112-2-1122-1-1-1-1-1-1-2-2111111-2200-2200-22001-11100001-1-1-1000000000000
χ5522-2-2-2-222-1-2222-1-2-211-12-2-2-11111-1-2-11112-1-1-12-11-22-11-2-211111122-1-1-1-1-1-12-2002-200-2200-11110000-11-1-1000000000000
χ5622-2-2-2-222-1-2222-1-2-211-12-2-2-11111-1-2-11112-1-1-12-11-22-11-2-211111122-1-1-1-1-1-1-2200-22002-2001-1-1-100001-111000000000000
χ5722-2-2-2-22-12-222-1211-2-2-1-1112-2-211-112-211-12-1-1-1-112-2-11-1-122-1-1-1-111-2-21111002200-2-200-1-100002-2110000-1-11100000000
χ5822-2-2-2-22-12-222-1211-2-2-1-1112-2-211-112-211-12-1-1-1-112-2-11-1-122-1-1-1-111-2-2111100-2-2002200110000-22-1-1000011-1-100000000
χ5922-2-2-2-22-12-222-1211-2-2-1-1112-2-211-112-211-12-1-1-1-11-22-1111-2-21111-1-122-1-1-1-1002200-2-200-1-10000-2211000011-1-100000000
χ6022-2-2-2-22-12-222-1211-2-2-1-1112-2-211-112-211-12-1-1-1-11-22-1111-2-21111-1-122-1-1-1-100-2-20022001100002-2-1-10000-1-11100000000
χ614444444-2-2444-2-2-2-2-2-21-2-2-2-2-2-2111-2-2-211-2-211-2114411-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-2-2-2-2-2-2111-2-2-211-2-211-211-4-4112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ6344444-4-4-24-44-4-24-2-244-22-22-44-4-2-2-22-4-4-2-2-24-2-222200220000000000000000000000000000000000000000000000000000
χ6444444-4-4-2-2-44-4-2-2-2-2-2-212-222-2211122211-2-2112-1-100-1-100−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ6544444-4-4-2-2-44-4-2-2-2-2-2-212-222-2211122211-2-2112-1-100-1-1002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ664444-44-44-2-4-444-244-2-2-2-4-4422-222-2-4-22-2-2-422242-200-220000000000000000000000000000000000000000000000000000
χ674444-44-4-24-4-44-24-2-244-222-2-4-4422-224-4-2-22-422-22-200-220000000000000000000000000000000000000000000000000000
χ684444-44-4-2-2-4-44-2-2-2-2-2-2122-222-2-1-112-221122-1-1-2-11001-100003i−3i−3i3i00003i−3i−3i3i000000000000000000000000000000000000
χ694444-44-4-2-2-4-44-2-2-2-2-2-2122-222-2-1-112-221122-1-1-2-11001-10000−3i3i3i−3i0000−3i3i3i−3i000000000000000000000000000000000000
χ704444-4-444-24-4-44-244-2-2-24-4-4-22222-242-2-2-2-4222-4-22002-20000000000000000000000000000000000000000000000000000
χ714444-4-44-2-24-4-4-2-2-2-2-2-21-222-222-1-11-22-21122-1-121-100-1123−2300−33−3323−2300−33−33000000000000000000000000000000000000
χ724444-4-44-2-24-4-4-2-2-2-2-2-21-222-222-1-11-22-21122-1-121-100-11−2323003−33−3−2323003−33−3000000000000000000000000000000000000
χ7344-4-44444-2-4-4-44-2-4-422-2444-2-2-2-2-2-2-42222-4222-4-2-200220000000000000000000000000000000000000000000000000000
χ7444-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2-2111222-1-122-1-121100-1-123−2300−33−33−2323003−33−3000000000000000000000000000000000000
χ7544-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2-2111222-1-122-1-121100-1-1−2323003−33−323−2300−33−33000000000000000000000000000000000000
χ7644-4-44-4-44-24-444-2-4-422-2-44-42-22-2-2-24-2-222-422242200-2-20000000000000000000000000000000000000000000000000000
χ7744-4-44-4-4-244-44-2422-4-4-22-22-44-4-2-2-2-244222-422-22200-2-20000000000000000000000000000000000000000000000000000
χ7844-4-44-4-4-2-24-44-2-2222212-222-22111-2-2-2-1-122-1-1-2-1-1001100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000
χ7944-4-44-4-4-2-24-44-2-2222212-222-22111-2-2-2-1-122-1-1-2-1-100110000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000
χ8044-4-4-44-4-2444-4-2422-4-4-222-2-4-4422-2-2-4422-24-2-222-2002-20000000000000000000000000000000000000000000000000000
χ8144-4-4-44-4-2-244-4-2-22222122-222-2-1-11-22-2-1-1-2-2112-1100-1100−2i32i3i3i3−i3−i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ8244-4-4-44-4-2-244-4-2-22222122-222-2-1-11-22-2-1-1-2-2112-1100-11002i3−2i3−i3−i3i3i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ8344-4-4-4-44-2-2-444-2-222221-222-222-1-112-22-1-1-2-211-21-14-41-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000000000
χ8444-4-4-4-44-2-2-444-2-222221-222-222-1-112-22-1-1-2-211-21-1-441-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i400000000-40004i−4i000000000000000000000000000000000000000000000000000000000002-22i−2i
χ864-44i−4i00044000-4-44i−4i4i−4i400000000-40004i−4i00000000000000000000000000000000000000000000000000000000000-22−2i2i
χ874-4−4i4i00044000-4-4−4i4i−4i4i400000000-4000−4i4i000000000000000000000000000000000000000000000000000000000002-2−2i2i
χ884-4−4i4i00044000-4-4−4i4i−4i4i400000000-4000−4i4i00000000000000000000000000000000000000000000000000000000000-222i−2i
χ898-88i−8i0008-4000-848i−8i−4i4i-4000000004000−4i4i000000000000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-8−4i4i8i−8i-4000000004000−4i4i000000000000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i20000006-6-20002i−2i006i−6i00000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i2000000-66-20002i−2i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-84−8i8i4i−4i-40000000040004i−4i000000000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-84i−4i−8i8i-40000000040004i−4i000000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i20000006-6-2000−2i2i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i2000000-66-2000−2i2i006i−6i00000000000000000000000000000000000000000000000000000000000

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