Finite Group Databasebeta

← Group #11923591

Character table — Group #11923591

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111666666888812122222121212121212161616162424333318181818181824242424363611116666668888121222221212121212121616161624243333181818181818242424243636
order1244248888361212243612126122424242436121261222442488886612122422442488886612122466121261224242424661212612224424888866121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ311-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-1
χ411-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-11
χ52222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-100
χ622-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-11100
χ72-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i00
χ82-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i00
χ92-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii00
χ102-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii00
χ113333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-1
χ123333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011
χ1333-3-31-111-1-10000-1133-3-31-111-1-10000-1133-3-31-111-1-10000-1133-3-31-111-1-10000-1133-3-31-111-1-10000-1133-3-31-111-1-10000-11
χ1433-3-31-1-1-11100001-133-3-31-1-1-11100001-133-3-31-1-1-11100001-133-3-31-1-1-11100001-133-3-31-1-1-11100001-133-3-31-1-1-11100001-1
χ154-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii00
χ164-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i00
χ1711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ18111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ1911-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-1-1-1111-1-1-111-1-111-1111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-1-1-1111-1-1-111-1-111-11
χ2011-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-11-1-1111-111-1-1-1-1111-111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-11-1-1111-111-1-1-1-1111-1
χ212222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-200001111002222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-20000111100
χ2222-2-2-220000-1-1110022-2-2-220000-1-11100-2-2222-2000011-1-10022-2-2-220000-1-1110022-2-2-220000-1-11100-2-2222-2000011-1-100
χ232-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii00
χ242-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii00
χ252-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i00
χ262-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i00
χ273333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-10000113333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-1000011
χ283333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-13333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1
χ2933-3-31-111-1-10000-1133-3-31-111-1-10000-11-3-333-11-1-11100001-133-3-31-111-1-10000-1133-3-31-111-1-10000-11-3-333-11-1-11100001-1
χ3033-3-31-1-1-11100001-133-3-31-1-1-11100001-1-3-333-1111-1-10000-1133-3-31-1-1-11100001-133-3-31-1-1-11100001-1-3-333-1111-1-10000-11
χ314-44i−4i0000001-1−ii004-44i−4i0000001-1−ii00-44−4i4i000000-11i−i004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii00-44−4i4i000000-11i−i00
χ324-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i00-444i−4i000000-11−ii004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i00-444i−4i000000-11−ii00
χ332222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ34222222-2-2-2-22222-2-2-1-1-1-1-1-11111-1-1-1-1110000000000000000222222-2-2-2-22222-2-2-1-1-1-1-1-11111-1-1-1-1110000000000000000
χ3522-2-2-2222-2-222-2-22-2-1-1111-1-1-111-1-111-11000000000000000022-2-2-2222-2-222-2-22-2-1-1111-1-1-111-1-111-110000000000000000
χ3622-2-2-22-2-22222-2-2-22-1-1111-111-1-1-1-1111-1000000000000000022-2-2-22-2-22222-2-2-22-1-1111-111-1-1-1-1111-10000000000000000
χ374444440000-2-2-2-200-2-2-2-2-2-2000011110000000000000000004444440000-2-2-2-200-2-2-2-2-2-200001111000000000000000000
χ3844-4-4-440000-2-22200-2-2222-2000011-1-100000000000000000044-4-4-440000-2-22200-2-2222-2000011-1-1000000000000000000
χ394-44i−4i002i2−2i222−22-222i−2i00-22−2i2i00−i2i2−221-1−ii0000000000000000004-44i−4i002i2−2i222−22-222i−2i00-22−2i2i00−i2i2−221-1−ii000000000000000000
χ404-44i−4i00−2i22i2−2222-222i−2i00-22−2i2i00i2−i22−21-1−ii0000000000000000004-44i−4i00−2i22i2−2222-222i−2i00-22−2i2i00i2−i22−21-1−ii000000000000000000
χ414-4−4i4i002i2−2i2−2222-22−2i2i00-222i−2i00−i2i22−21-1i−i0000000000000000004-4−4i4i002i2−2i2−2222-22−2i2i00-222i−2i00−i2i22−21-1i−i000000000000000000
χ424-4−4i4i00−2i22i222−22-22−2i2i00-222i−2i00i2−i2−221-1i−i0000000000000000004-4−4i4i00−2i22i222−22-22−2i2i00-222i−2i00i2−i2−221-1i−i000000000000000000
χ436666-2-222220000-2-2-3-3-3-311-1-1-1-100001100000000000000006666-2-222220000-2-2-3-3-3-311-1-1-1-10000110000000000000000
χ446666-2-2-2-2-2-2000022-3-3-3-31111110000-1-100000000000000006666-2-2-2-2-2-2000022-3-3-3-31111110000-1-10000000000000000
χ4566-6-62-222-2-20000-22-3-333-11-1-11100001-1000000000000000066-6-62-222-2-20000-22-3-333-11-1-11100001-10000000000000000
χ4666-6-62-2-2-22200002-2-3-333-1111-1-10000-11000000000000000066-6-62-2-2-22200002-2-3-333-1111-1-10000-110000000000000000
χ478-88i−8i0000002-2−2i2i00-44−4i4i000000-11i−i0000000000000000008-88i−8i0000002-2−2i2i00-44−4i4i000000-11i−i000000000000000000
χ488-8−8i8i0000002-22i−2i00-444i−4i000000-11−ii0000000000000000008-8−8i8i0000002-22i−2i00-444i−4i000000-11−ii000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ50111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ5111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-1-1-1111-1-1-111-1-111-11-1-1111-1-1-111-1-111-11-1-1111-1-1-111-1-111-11
χ5211-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-11-1-1111-111-1-1-1-1111-1-1-1111-111-1-1-1-1111-1-1-1111-111-1-1-1-1111-1
χ532222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-20000111100-2-2-2-2-2-20000111100-2-2-2-2-2-20000111100
χ5422-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-11100-2-2222-2000011-1-100-2-2222-2000011-1-100-2-2222-2000011-1-100
χ552-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii00-22−2i2i00−i2i2−221-1−ii00-22−2i2i00−i2i2−221-1−ii00
χ562-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii00-22−2i2i00i2−i22−21-1−ii00-22−2i2i00i2−i22−21-1−ii00
χ572-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i00-222i−2i00−i2i22−21-1i−i00-222i−2i00−i2i22−21-1i−i00
χ582-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i00-222i−2i00i2−i2−221-1i−i00-222i−2i00i2−i2−221-1i−i00
χ593333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-1000011
χ603333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1-3-3-3-31111110000-1-1-3-3-3-31111110000-1-1
χ6133-3-31-111-1-10000-1133-3-31-111-1-10000-1133-3-31-111-1-10000-11-3-333-11-1-11100001-1-3-333-11-1-11100001-1-3-333-11-1-11100001-1
χ6233-3-31-1-1-11100001-133-3-31-1-1-11100001-133-3-31-1-1-11100001-1-3-333-1111-1-10000-11-3-333-1111-1-10000-11-3-333-1111-1-10000-11
χ634-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii00-44−4i4i000000-11i−i00-44−4i4i000000-11i−i00-44−4i4i000000-11i−i00
χ644-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i00-444i−4i000000-11−ii00-444i−4i000000-11−ii00-444i−4i000000-11−ii00
χ6511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ66111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1
χ6711-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-1-1-1111-1-1-111-1-111-11-1-1111-1-1-111-1-111-11-1-1111-1-1-111-1-111-1111-1-1-1111-1-111-1-11-1
χ6811-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-11-1-1111-111-1-1-1-1111-1-1-1111-111-1-1-1-1111-1-1-1111-111-1-1-1-1111-111-1-1-11-1-11111-1-1-11
χ692222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-20000111100-2-2-2-2-2-20000111100-2-2-2-2-2-200001111002222220000-1-1-1-100
χ7022-2-2-220000-1-1110022-2-2-220000-1-11100-2-2222-2000011-1-100-2-2222-2000011-1-100-2-2222-2000011-1-10022-2-2-220000-1-11100
χ712-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii00-22−2i2i00−i2i2−221-1−ii00-22−2i2i00−i2i2−221-1−ii002-22i−2i00i2−i22−2-11i−i00
χ722-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii00-22−2i2i00i2−i22−21-1−ii00-22−2i2i00i2−i22−21-1−ii002-22i−2i00−i2i2−22-11i−i00
χ732-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i00-222i−2i00−i2i22−21-1i−i00-222i−2i00−i2i22−21-1i−i002-2−2i2i00i2−i2−22-11−ii00
χ742-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i00-222i−2i00i2−i2−221-1i−i00-222i−2i00i2−i2−221-1i−i002-2−2i2i00−i2i22−2-11−ii00
χ753333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-10000113333-1-111110000-1-1
χ763333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1-3-3-3-31111110000-1-1-3-3-3-31111110000-1-13333-1-1-1-1-1-1000011
χ7733-3-31-111-1-10000-1133-3-31-111-1-10000-11-3-333-11-1-11100001-1-3-333-11-1-11100001-1-3-333-11-1-11100001-133-3-31-111-1-10000-11
χ7833-3-31-1-1-11100001-133-3-31-1-1-11100001-1-3-333-1111-1-10000-11-3-333-1111-1-10000-11-3-333-1111-1-10000-1133-3-31-1-1-11100001-1
χ794-44i−4i0000001-1−ii004-44i−4i0000001-1−ii00-44−4i4i000000-11i−i00-44−4i4i000000-11i−i00-44−4i4i000000-11i−i004-44i−4i0000001-1−ii00
χ804-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i00-444i−4i000000-11−ii00-444i−4i000000-11−ii00-444i−4i000000-11−ii004-4−4i4i0000001-1i−i00
χ812222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000
χ82222222-2-2-2-22222-2-2-1-1-1-1-1-11111-1-1-1-1110000000000000000-2-2-2-2-2-22222-2-2-2-222111111-1-1-1-11111-1-10000000000000000
χ8322-2-2-2222-2-222-2-22-2-1-1111-1-1-111-1-111-110000000000000000-2-2222-2-2-222-2-222-2211-1-1-1111-1-111-1-11-10000000000000000
χ8422-2-2-22-2-22222-2-2-22-1-1111-111-1-1-1-1111-10000000000000000-2-2222-222-2-2-2-2222-211-1-1-11-1-11111-1-1-110000000000000000
χ854444440000-2-2-2-200-2-2-2-2-2-200001111000000000000000000-4-4-4-4-4-400002222002222220000-1-1-1-1000000000000000000
χ8644-4-4-440000-2-22200-2-2222-2000011-1-1000000000000000000-4-4444-4000022-2-20022-2-2-220000-1-111000000000000000000
χ874-44i−4i002i2−2i222−22-222i−2i00-22−2i2i00−i2i2−221-1−ii000000000000000000-44−4i4i00−2i22i2−22222-2−2i2i002-22i−2i00i2−i22−2-11i−i000000000000000000
χ884-44i−4i00−2i22i2−2222-222i−2i00-22−2i2i00i2−i22−21-1−ii000000000000000000-44−4i4i002i2−2i222−222-2−2i2i002-22i−2i00−i2i2−22-11i−i000000000000000000
χ894-4−4i4i002i2−2i2−2222-22−2i2i00-222i−2i00−i2i22−21-1i−i000000000000000000-444i−4i00−2i22i222−222-22i−2i002-2−2i2i00i2−i2−22-11−ii000000000000000000
χ904-4−4i4i00−2i22i222−22-22−2i2i00-222i−2i00i2−i2−221-1i−i000000000000000000-444i−4i002i2−2i2−22222-22i−2i002-2−2i2i00−i2i22−2-11−ii000000000000000000
χ916666-2-222220000-2-2-3-3-3-311-1-1-1-10000110000000000000000-6-6-6-622-2-2-2-20000223333-1-111110000-1-10000000000000000
χ926666-2-2-2-2-2-2000022-3-3-3-31111110000-1-10000000000000000-6-6-6-62222220000-2-23333-1-1-1-1-1-10000110000000000000000
χ9366-6-62-222-2-20000-22-3-333-11-1-11100001-10000000000000000-6-666-22-2-22200002-233-3-31-111-1-10000-110000000000000000
χ9466-6-62-2-2-22200002-2-3-333-1111-1-10000-110000000000000000-6-666-2222-2-20000-2233-3-31-1-1-11100001-10000000000000000
χ958-88i−8i0000002-2−2i2i00-44−4i4i000000-11i−i000000000000000000-88−8i8i000000-222i−2i004-44i−4i0000001-1−ii000000000000000000
χ968-8−8i8i0000002-22i−2i00-444i−4i000000-11−ii000000000000000000-888i−8i000000-22−2i2i004-4−4i4i0000001-1i−i000000000000000000

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