Finite Group Databasebeta

← Group #11899621

Character table — Group #11899621

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112222222222222444444444444444444444444488888888888888888888888899161616161616161616161616161616161818181818363636363672727272
order122333344666688666681212121212121212161616162424242424242424222424242424484848484848484848484848484848484466666666666612121212224888161616162444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1
χ61111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ71111111111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11-1-11
χ81111111111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-111-1
χ911-11111-11111111-1-1-1-1-1-1-1-1-1111111-1-1111111111-11-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-111-1-1-11-11
χ1011-11111-11111111-1-1-1-1-1-1-1-1-1111111-1-1111111111-11-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-11-1-1111-11-1
χ1111-11111-11111111-1-1-1-1-1-1-1-1-1111111-1-111111111-11-11-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-111-111-1-11-11-1
χ1211-11111-11111111-1-1-1-1-1-1-1-1-1111111-1-111111111-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11-1-111-11-11
χ1311-11111-11111111-1-1-1-1-1-1-1-1-11111-1-111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-1-111-1-1-11111-1-1
χ1411-11111-11111111-1-1-1-1-1-1-1-1-11111-1-111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-111-1-1111-1-1-1-111
χ1511-11111-11111111-1-1-1-1-1-1-1-1-11111-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-11-1-111-1-1-111-1-111
χ1611-11111-11111111-1-1-1-1-1-1-1-1-11111-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1111-1-111-1-1
χ172222222222222-2-22222-2222222220000-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000220000000000000000222-2-2-200000000
χ182222222222222-2-22222-2222222220000-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000-2-20000000000000000-2-2-222200000000
χ192222222-2-222220022220-2-2-2-2-2-2-2-22−22−200000000000000002222−2−2−2−22222−2−2−2−2220000000000000000-2-220002−22−20000
χ202222222-2-222220022220-2-2-2-2-2-2-2-22−22−200000000000000002222−2−2−2−22222−2−2−2−2-2-2000000000000000022-2000−22−220000
χ212222222-2-222220022220-2-2-2-2-2-2-2-2−22−220000000000000000−2−2−2−22222−2−2−2−22222220000000000000000-2-22000−22−220000
χ222222222-2-222220022220-2-2-2-2-2-2-2-2−22−220000000000000000−2−2−2−22222−2−2−2−22222-2-2000000000000000022-20002−22−20000
χ232222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-1222222-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1002-1-1-12-1-1-12-1-1-12-1-1-100000000000000
χ242222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-1222222-1-1-1-1-1-1-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100-2111-2111-2111-211100000000000000
χ252222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-2-22-1-1-1-2111-2111-2111-2111002-1-1-12-1-1-1-2111-211100000000000000
χ262222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2222-1-1-1-2111-2111-2111-211100-2111-21112-1-1-12-1-1-100000000000000
χ27222-12-1-122-12-1-122-12-1-12-12-1-1-12-1-12222-1-122-1-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100-12-1-1-12-1-1-12-1-1-12-1-100000000000000
χ28222-12-1-122-12-1-122-12-1-12-12-1-1-12-1-12222-1-122-1-1-1-1-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1001-2111-2111-2111-21100000000000000
χ29222-12-1-122-12-1-122-12-1-12-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-122-2-2-12-1-11-2111-2111-2111-21100-12-1-1-12-1-11-2111-21100000000000000
χ30222-12-1-122-12-1-122-12-1-12-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-2-222-12-1-11-2111-2111-2111-211001-2111-211-12-1-1-12-1-100000000000000
χ31222-1-12-122-1-12-122-1-12-12-1-12-1-1-12-12222-1-1-1-122-1-12222-1-12-1-1-12-1-1-12-1-1-12-1-1-12-100-1-12-1-1-12-1-1-12-1-1-12-100000000000000
χ32222-1-12-122-1-12-122-1-12-12-1-12-1-1-12-12222-1-1-1-122-1-1-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-1-1-12-10011-2111-2111-2111-2100000000000000
χ33222-1-12-122-1-12-122-1-12-12-1-12-1-1-12-1-2-2-2-2-1-1-1-122-1-122-2-2-1-12-111-2111-2111-2111-2100-1-12-1-1-12-111-2111-2100000000000000
χ34222-1-12-122-1-12-122-1-12-12-1-12-1-1-12-1-2-2-2-2-1-1-1-122-1-1-2-222-1-12-111-2111-2111-2111-210011-2111-21-1-12-1-1-12-100000000000000
χ35222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-122222-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1200-1-1-12-1-1-12-1-1-12-1-1-1200000000000000
χ36222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-122222-1-1-1-1-1-122-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1200111-2111-2111-2111-200000000000000
χ37222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-2-2-2-2-1-1-1-1-1-12222-2-2-1-1-12111-2111-2111-2111-200-1-1-12-1-1-12111-2111-200000000000000
χ38222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-2-2-2-2-1-1-1-1-1-122-2-222-1-1-12111-2111-2111-2111-200111-2111-2-1-1-12-1-1-1200000000000000
χ3922-222222-2222200-2-2-2-202222-2-2-2-22−2−2200000000000000002222−2−2−2−2−2−2−2−22222220000000000000000-22-20002−2−220000
χ4022-222222-2222200-2-2-2-202222-2-2-2-22−2−2200000000000000002222−2−2−2−2−2−2−2−22222-2-200000000000000002-22000−222−20000
χ4122-222222-2222200-2-2-2-202222-2-2-2-2−222−20000000000000000−2−2−2−222222222−2−2−2−2220000000000000000-22-2000−222−20000
χ4222-222222-2222200-2-2-2-202222-2-2-2-2−222−20000000000000000−2−2−2−222222222−2−2−2−2-2-200000000000000002-220002−2−220000
χ4322-22222-222222-2-2-2-2-2-22-2-2-2-222220000-2-2-2-2-2-2-2-20000222200000000000000002200000000000000002-2-2-2-2200000000
χ4422-22222-222222-2-2-2-2-2-22-2-2-2-222220000-2-2-2-2-2-2-2-2000022220000000000000000-2-20000000000000000-22222-200000000
χ4522-22-1-1-1-222-1-1-122-2111-2-21112-1-1-122-2-222-1-1-1-1-1-12-22-2-21112-1-1-12-1-1-1-2111-2111002-1-1-1-21112-1-1-1-211100000000000000
χ4622-22-1-1-1-222-1-1-122-2111-2-21112-1-1-122-2-222-1-1-1-1-1-1-22-22-21112-1-1-12-1-1-1-2111-211100-21112-1-1-1-21112-1-1-100000000000000
χ4722-22-1-1-1-222-1-1-122-2111-2-21112-1-1-1-2-22222-1-1-1-1-1-12-2-22-2111-2111-21112-1-1-12-1-1-1002-1-1-1-2111-21112-1-1-100000000000000
χ4822-22-1-1-1-222-1-1-122-2111-2-21112-1-1-1-2-22222-1-1-1-1-1-1-222-2-2111-2111-21112-1-1-12-1-1-100-21112-1-1-12-1-1-1-211100000000000000
χ4922-2-12-1-1-22-12-1-1221-211-21-211-12-1-122-2-2-1-122-1-1-1-12-22-21-211-12-1-1-12-1-11-2111-21100-12-1-11-211-12-1-11-21100000000000000
χ5022-2-12-1-1-22-12-1-1221-211-21-211-12-1-122-2-2-1-122-1-1-1-1-22-221-211-12-1-1-12-1-11-2111-211001-211-12-1-11-211-12-1-100000000000000
χ5122-2-12-1-1-22-12-1-1221-211-21-211-12-1-1-2-222-1-122-1-1-1-12-2-221-2111-2111-211-12-1-1-12-1-100-12-1-11-2111-211-12-1-100000000000000
χ5222-2-12-1-1-22-12-1-1221-211-21-211-12-1-1-2-222-1-122-1-1-1-1-222-21-2111-2111-211-12-1-1-12-1-1001-211-12-1-1-12-1-11-21100000000000000
χ5322-2-1-12-1-22-1-12-12211-21-211-21-1-12-122-2-2-1-1-1-122-1-12-22-211-21-1-12-1-1-12-111-2111-2100-1-12-111-21-1-12-111-2100000000000000
χ5422-2-1-12-1-22-1-12-12211-21-211-21-1-12-122-2-2-1-1-1-122-1-1-22-2211-21-1-12-1-1-12-111-2111-210011-21-1-12-111-21-1-12-100000000000000
χ5522-2-1-12-1-22-1-12-12211-21-211-21-1-12-1-2-222-1-1-1-122-1-12-2-2211-2111-2111-21-1-12-1-1-12-100-1-12-111-2111-21-1-12-100000000000000
χ5622-2-1-12-1-22-1-12-12211-21-211-21-1-12-1-2-222-1-1-1-122-1-1-222-211-2111-2111-21-1-12-1-1-12-10011-21-1-12-1-1-12-111-2100000000000000
χ5722-2-1-1-12-22-1-1-1222111-2-2111-2-1-1-1222-2-2-1-1-1-1-1-1222-22-2111-2-1-1-12-1-1-12111-2111-200-1-1-12111-2-1-1-12111-200000000000000
χ5822-2-1-1-12-22-1-1-1222111-2-2111-2-1-1-1222-2-2-1-1-1-1-1-122-22-22111-2-1-1-12-1-1-12111-2111-200111-2-1-1-12111-2-1-1-1200000000000000
χ5922-2-1-1-12-22-1-1-1222111-2-2111-2-1-1-12-2-222-1-1-1-1-1-1222-2-22111-2111-2111-2-1-1-12-1-1-1200-1-1-12111-2111-2-1-1-1200000000000000
χ6022-2-1-1-12-22-1-1-1222111-2-2111-2-1-1-12-2-222-1-1-1-1-1-122-222-2111-2111-2111-2-1-1-12-1-1-1200111-2-1-1-12-1-1-12111-200000000000000
χ614444-2-2-2444-2-2-2-4-44-2-2-2-44-2-2-24-2-2-20000-4-42222220000-4222000000000000000000000000000000000000000000000000
χ624444-2-2-2-4-44-2-2-2004-2-2-20-4222-422222−2222−22000000000000000022−2−2−2−2222222−2−2−2−2222200000000000000000000000000000000
χ634444-2-2-2-4-44-2-2-2004-2-2-20-4222-4222−2222−22220000000000000000−2222222−2−2−2−2222222−2−2−200000000000000000000000000000000
χ64444-24-2-244-24-2-2-4-4-24-2-2-4-24-2-2-24-2-2000022-4-4222200002-422000000000000000000000000000000000000000000000000
χ65444-24-2-2-4-4-24-2-200-24-2-202-4222-42222−2222−220000000000000000−222−2−22−2222−222−2−22−222200000000000000000000000000000000
χ66444-24-2-2-4-4-24-2-200-24-2-202-4222-422−2222−222200000000000000002−2222−222−2−22−2222−222−2−200000000000000000000000000000000
χ67444-2-24-244-2-24-2-4-4-2-24-2-4-2-24-2-2-24-200002222-4-422000022-42000000000000000000000000000000000000000000000000
χ68444-2-24-2-4-4-2-24-200-2-24-2022-4222-4222−2222−220000000000000000−2−222−222−222−2−222−222−22200000000000000000000000000000000
χ69444-2-24-2-4-4-2-24-200-2-24-2022-4222-42−2222−2222000000000000000022−222−2−222−222−222−2−222−200000000000000000000000000000000
χ70444-2-2-2444-2-2-24-4-4-2-2-24-4-2-2-24-2-2-240000222222-4-40000222-4000000000000000000000000000000000000000000000000
χ71444-2-2-24-4-4-2-2-2400-2-2-240222-4222-422−2222−220000000000000000−2−2−222222−22−2−2−222222−2200000000000000000000000000000000
χ72444-2-2-24-4-4-2-2-2400-2-2-240222-4222-4−2222−22220000000000000000222−22−2−2−222222−22−2−2−22200000000000000000000000000000000
χ7344-44-2-2-24-44-2-2-200-422204-2-2-2-422222−22−2222000000000000000022−2−2−2−22222−2222222−2−2−200000000000000000000000000000000
χ7444-44-2-2-24-44-2-2-200-422204-2-2-2-4222−222222−220000000000000000−2222222−2−2−222−2−2−2−2222200000000000000000000000000000000
χ7544-44-2-2-2-444-2-2-2-4-4-42224-42224-2-2-20000-4-422222200004-2-2-2000000000000000000000000000000000000000000000000
χ7644-4-24-2-24-4-24-2-2002-4220-24-2-22-42222−22−22220000000000000000−222−2−22−22222−2222−222−2−200000000000000000000000000000000
χ7744-4-24-2-24-4-24-2-2002-4220-24-2-22-422−222222−2200000000000000002−2222−222−2−2−222−2−22−222200000000000000000000000000000000
χ7844-4-24-2-2-44-24-2-2-4-42-42242-422-24-2-2000022-4-422220000-24-2-2000000000000000000000000000000000000000000000000
χ7944-4-2-24-24-4-2-24-20022-420-2-24-222-4222−22−22220000000000000000−2−222−222−22222−222−2−222−200000000000000000000000000000000
χ8044-4-2-24-24-4-2-24-20022-420-2-24-222-42−222222−22000000000000000022−222−2−222−2−2−222−222−22200000000000000000000000000000000
χ8144-4-2-24-2-44-2-24-2-4-422-42422-42-2-24-200002222-4-4220000-2-24-2000000000000000000000000000000000000000000000000
χ8244-4-2-2-244-4-2-2-2400222-40-2-2-24222-422−22−22220000000000000000−2−2−222222−22222−22−2−2−22200000000000000000000000000000000
χ8344-4-2-2-244-4-2-2-2400222-40-2-2-24222-4−222222−220000000000000000222−22−2−2−222−2−2−222222−2200000000000000000000000000000000
χ8444-4-2-2-24-44-2-2-24-4-4222-44222-4-2-2-240000222222-4-40000-2-2-24000000000000000000000000000000000000000000000000
χ854-40444400-4-4-4-422−220000000000000000022−2222−2222−2222−220000000000000000000000004i−4i00000000000000000002i2−2i2000000000
χ864-40444400-4-4-4-422−220000000000000000022−2222−2222−2222−22000000000000000000000000−4i4i0000000000000000000−2i22i2000000000
χ874-40444400-4-4-4-4−222200000000000000000−2222−2222−2222−22220000000000000000000000004i−4i0000000000000000000−2i22i2000000000
χ884-40444400-4-4-4-4−222200000000000000000−2222−2222−2222−2222000000000000000000000000−4i4i00000000000000000002i2−2i2000000000
χ898-808-4-4-400-844442−420000000000000000042−42−2222−2222−222200000000000000000000000000000000000000000000000000000000
χ908-808-4-4-400-8444−424200000000000000000−424222−2222−2222−2200000000000000000000000000000000000000000000000000000000
χ918-80-48-4-4004-84442−4200000000000000000−222242−42−2222−222200000000000000000000000000000000000000000000000000000000
χ928-80-48-4-4004-844−42420000000000000000022−22−424222−2222−2200000000000000000000000000000000000000000000000000000000
χ938-80-4-48-40044-8442−4200000000000000000−2222−222242−42−222200000000000000000000000000000000000000000000000000000000
χ948-80-4-48-40044-84−42420000000000000000022−2222−22−424222−2200000000000000000000000000000000000000000000000000000000
χ958-80-4-4-4800444-842−4200000000000000000−2222−2222−222242−4200000000000000000000000000000000000000000000000000000000
χ968-80-4-4-4800444-8−42420000000000000000022−2222−2222−22−424200000000000000000000000000000000000000000000000000000000

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