Finite Group Databasebeta

← Group #11867814

Character table — Group #11867814

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order12222233444466666636666666121212121212121212121212446612121212121212121212121212121212121222448888888844446612121212121212121212242424248824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
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
χ511111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1
χ611111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111
χ811111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-111-1-1
χ91111-1-1111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-11-11-111-1-111111-11-11-111-1-11-111-1-111-1-1-1-11-1
χ101111-1-1111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-11-11-1-1-111-1-1-1-1-111-11-1-1-1111-111-1-1-1-11111-11
χ111111-1-1111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-1-11-1111-1-1-1-1-1-11-1-11-1111-1-1-11-1-11111-1-111-11
χ121111-1-1111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-1-11-11-1-1111111-11-11-11-1-111-11-1-111-1-111-1-11-1
χ131111-1-1111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-111111-11-111-1-11111-11-111-1-1-1111-1-1-11111-1-1-1-1-11
χ141111-1-1111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-111111-11-1-1-111-1-1-1-11-1-111-111-1-11-1-1-111-1-111111-1
χ151111-1-1111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-11111-11-1111-1-1-1-1-1-1-111-1-11-1-111-1111-1-111-1-1111-1
χ161111-1-1111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-11111-11-11-1-11111111-11-1-1111-1-1-1111-1-1-1-111-1-1-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-2000000002-2-220000000000002-20000-22000000000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-200000000-222-2000000000000-2200002-2000000000000
χ192222222-1222222-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222000000000022-1-10000-1-1-1-1-1-100000000
χ202222222-1222222-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-211000011111100000000
χ212222222-1222222-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-12-2-2-1-1-2-21111-2-2-1-11111111122220000000000-2-2-1-10000-1-1111100000000
χ222222222-1222222-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-12-2-2-1-1-2-21111-2-2-1-111111111-2-2-2-200000000002211000011-1-1-1-100000000
χ232222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-2-2-211111111-200-1-100−i3i3−i3i30011−i3−i3i3i3−i3−i3i3i32-2-22000000000000-1100001-1−i3i3−i3i300000000
χ242222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-2-2-211111111-200-1-100−i3i3−i3i30011−i3−i3i3i3−i3−i3i3i3-222-20000000000001-10000-11i3−i3i3−i300000000
χ252222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-2-2-211111111-200-1-100i3−i3i3−i30011i3i3−i3−i3i3i3−i3−i32-2-22000000000000-1100001-1i3−i3i3−i300000000
χ262222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-2-2-211111111-200-1-100i3−i3i3−i30011i3i3−i3−i3i3i3−i3−i3-222-20000000000001-10000-11−i3i3−i3i300000000
χ27222222-122222-1-122-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022220000220000-1-1-1-1000000-1-1-1-10000
χ28222222-122222-1-122-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-20000111100000011110000
χ29222222-122222-1-122-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-2-2-1-111-2-2-2-211-1-111111111000022220000-2-200001111000000-1-1-1-10000
χ30222222-122222-1-122-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-2-2-1-111-2-2-2-211-1-1111111110000-2-2-2-20000220000-1-1-1-100000011110000
χ312222-2-222-222-22222222-2-2-2-2222-222-2-2222222-200-2-200000000-2-20000000022-2-2000000000000220000-2-2000000000000
χ322222-2-222-222-22222222-2-2-2-2222-222-2-2222222-200-2-200000000-2-200000000-2-222000000000000-2-2000022000000000000
χ332222-2-22-12-2-2222-1-12-1-1-2-211-1-1-12-2-2-1-111111122-21122-1-111-2-2-1-1-1-1-1-111112-22-200000000002-2-110000-11-1-11100000000
χ342222-2-22-12-2-2222-1-12-1-1-2-211-1-1-12-2-2-1-111111122-21122-1-111-2-2-1-1-1-1-1-11111-22-220000000000-221-100001-111-1-100000000
χ352222-2-22-12-2-2222-1-12-1-1-2-211-1-1-12-2-2-1-11111112-2211-2-211-1-122-1-11111-1-1-1-12-22-20000000000-22-110000-1111-1-100000000
χ362222-2-22-12-2-2222-1-12-1-1-2-211-1-1-12-2-2-1-11111112-2211-2-211-1-122-1-11111-1-1-1-1-22-2200000000002-21-100001-1-1-11100000000
χ372222-2-22-1-222-222-1-12-1-1-2-211-1-1-1-22211-1-1-1-1-1-1-2001100−i3i3i3−i30011−i3−i3i3i3i3i3−i3−i322-2-2000000000000-1-1000011−i3i3i3−i300000000
χ382222-2-22-1-222-222-1-12-1-1-2-211-1-1-1-22211-1-1-1-1-1-1-2001100−i3i3i3−i30011−i3−i3i3i3i3i3−i3−i3-2-222000000000000110000-1-1i3−i3−i3i300000000
χ392222-2-22-1-222-222-1-12-1-1-2-211-1-1-1-22211-1-1-1-1-1-1-2001100i3−i3−i3i30011i3i3−i3−i3−i3−i3i3i322-2-2000000000000-1-1000011i3−i3−i3i300000000
χ402222-2-22-1-222-222-1-12-1-1-2-211-1-1-1-22211-1-1-1-1-1-1-2001100i3−i3−i3i30011i3i3−i3−i3−i3−i3i3i3-2-222000000000000110000-1-1−i3i3i3−i300000000
χ412222-2-2-122-2-22-1-122-12-111-2-2-1-1-1-11122-2-21111-12-211-1-122-2-211-1-1-1-1-1-11111000022-2-200002-20000-1-111000000-1-1110000
χ422222-2-2-122-2-22-1-122-12-111-2-2-1-1-1-11122-2-21111-12-211-1-122-2-211-1-1-1-1-1-111110000-2-2220000-22000011-1-100000011-1-10000
χ432222-2-2-122-2-22-1-122-12-111-2-2-1-1-1-11122-2-21111-1-221111-2-222-1-1-1-11111-1-1-1-1000022-2-20000-22000011-1-1000000-1-1110000
χ442222-2-2-122-2-22-1-122-12-111-2-2-1-1-1-11122-2-21111-1-221111-2-222-1-1-1-11111-1-1-1-10000-2-22200002-20000-1-11100000011-1-10000
χ452-2-222-22222-2-22-2-2-2-2222-22-22-2-222-22-22-222-2-2-2002-2000000002-200000000000000002i2i−2i−2i000000000000000000002i−2i00
χ462-2-222-22222-2-22-2-2-2-2222-22-22-2-222-22-22-222-2-2-2002-2000000002-20000000000000000−2i−2i2i2i00000000000000000000−2i2i00
χ472-2-222-222-2-2222-2-2-2-2222-22-22-2-2-2-22-22-22-2-2222002-200000000-220000000000002-22-2000000000000000000002-22-20000
χ482-2-222-222-2-2222-2-2-2-2222-22-22-2-2-2-22-22-22-2-2222002-200000000-22000000000000-22-2200000000000000000000-22-220000
χ492-2-222-2-12-2-222-11-2-212-1-112-2-11111-1-22-2211-1-1-100-113−300003−31-13−33−33−33−300002-22-200000000003−33−3000000-11-110000
χ502-2-222-2-12-2-222-11-2-212-1-112-2-11111-1-22-2211-1-1-100-113−300003−31-13−33−33−33−30000-22-220000000000−33−330000001-11-10000
χ512-2-222-2-12-2-222-11-2-212-1-112-2-11111-1-22-2211-1-1-100-11−330000−331-1−33−33−33−3300002-22-20000000000−33−33000000-11-110000
χ522-2-222-2-12-2-222-11-2-212-1-112-2-11111-1-22-2211-1-1-100-11−330000−331-1−33−33−33−330000-22-2200000000003−33−30000001-11-10000
χ532-2-22-22222-22-22-2-2-2-222-22-222-2-22-222-2-22-2-222-200-22000000002-200000000000000002i2i−2i−2i00000000000000000000−2i2i00
χ542-2-22-22222-22-22-2-2-2-222-22-222-2-22-222-2-22-2-222-200-22000000002-20000000000000000−2i−2i2i2i000000000000000000002i−2i00
χ552-2-22-2222-22-222-2-2-2-222-22-222-2-2-22-2-222-222-2-2200-2200000000-220000000000002-2-22000000000000000000002-2-220000
χ562-2-22-2222-22-222-2-2-2-222-22-222-2-2-22-2-222-222-2-2200-2200000000-22000000000000-222-200000000000000000000-222-20000
χ572-2-22-22-12-22-22-11-2-212-11-1-22-1111-11-222-2-1-111-1001-13−30000−331-13−33−3−33−3300002-2-2200000000003−3−33000000-111-10000
χ582-2-22-22-12-22-22-11-2-212-11-1-22-1111-11-222-2-1-111-1001-13−30000−331-13−33−3−33−330000-222-20000000000−333−30000001-1-110000
χ592-2-22-22-12-22-22-11-2-212-11-1-22-1111-11-222-2-1-111-1001-1−3300003−31-1−33−333−33−300002-2-220000000000−333−3000000-111-10000
χ602-2-22-22-12-22-22-11-2-212-11-1-22-1111-11-222-2-1-111-1001-1−3300003−31-1−33−333−33−30000-222-200000000003−3−330000001-1-110000
χ61444444-24-4-4-4-4-2-244-24-2-2-244-2-2-2222-4-4-4-42222200-2-2000000002200000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-24411-2-2-2-2-2-2-2-21111111111000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-2-4-4112222222211-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222222-1-1-1-12001100−2i32i3−2i32i300-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222222-1-1-1-120011002i3−2i32i3−2i300-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ664444-4-4-24-444-4-2-244-24-222-4-4-2-2-22-2-2-4-444-2-2-2-220022000000002200000000000000000000000000000000000000000000
χ674444-4-4-2-24-4-44-2-2-2-2-2-212222111-222-2-222-1-1-1-1-24-4-1-1-2-2-2-22222111111-1-1-1-1000000000000000000000000000000000000
χ684444-4-4-2-24-4-44-2-2-2-2-2-212222111-222-2-222-1-1-1-1-2-44-1-12222-2-2-2-211-1-1-1-11111000000000000000000000000000000000000
χ694444-4-4-2-2-444-4-2-2-2-2-2-2122221112-2-222-2-21111200-1-100−2i32i32i3−2i300-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ704444-4-4-2-2-444-4-2-2-2-2-2-2122221112-2-222-2-21111200-1-1002i3−2i3−2i32i300-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ7144-4-400440000-444-4-4-440000-44-400000000000000000000000000000000000000000022−2222−22000000000000000000000000
χ7244-4-400440000-444-4-4-440000-44-4000000000000000000000000000000000000000000−2222−2222000000000000000000000000
χ734-44-400440000-4-4-444-440000-4-44000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ744-44-400440000-4-4-444-440000-4-440000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ754-4-444-44-244-4-44-422-4-2-24-4-22-22244-4-22-22-2-222-400-2200000000-2200000000000000000000000000000000000000000000
χ764-4-444-44-2-4-4444-422-4-2-24-4-22-222-4-442-22-222-2-2400-22000000002-200000000000000000000000000000000000000000000
χ774-4-444-4-2444-4-4-22-4-424-2-224-4-222-2-224-44-4-2-222200-2200000000-2200000000000000000000000000000000000000000000
χ784-4-444-4-2-244-4-4-22222-21-22-221-1-1-2-22-22-2211-1-12001-1000000001-13i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000
χ794-4-444-4-2-244-4-4-22222-21-22-221-1-1-2-22-22-2211-1-12001-1000000001-1−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000
χ804-4-444-4-2-2-4-444-22222-21-22-221-1-122-22-22-2-1-111-2001-123−23000023−23-11−33−33−33−33000000000000000000000000000000000000
χ814-4-444-4-2-2-4-444-22222-21-22-221-1-122-22-22-2-1-111-2001-1−23230000−2323-113−33−33−33−3000000000000000000000000000000000000
χ824-4-44-444-24-44-44-422-4-2-2-442-2-2224-44-222-222-2-2-4002-200000000-2200000000000000000000000000000000000000000000
χ834-4-44-444-2-44-444-422-4-2-2-442-2-222-44-42-2-22-2-2224002-2000000002-200000000000000000000000000000000000000000000
χ844-4-44-44-244-44-4-22-4-424-22-2-44-222-22-24-4-4422-2-22002-200000000-2200000000000000000000000000000000000000000000
χ854-4-44-44-2-24-44-4-22222-212-22-21-1-1-22-2-222-2-1-111200-11000000001-13i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ864-4-44-44-2-24-44-4-22222-212-22-21-1-1-22-2-222-2-1-111200-11000000001-1−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000
χ874-4-44-44-2-2-44-44-22222-212-22-21-1-12-222-2-2211-1-1-200-1123−230000−2323-11−33−333−33−3000000000000000000000000000000000000
χ884-4-44-44-2-2-44-44-22222-212-22-21-1-12-222-2-2211-1-1-200-11−2323000023−23-113−33−3−33−33000000000000000000000000000000000000
χ8988-8-8008-40000-88-44-84-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-4800004-48-84-8-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-400004-4-444420000-22-200000006i−6i6i−6i00000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-400004-4-444420000-22-20000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-8-84-484-4000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-48000044-88-4-8-4000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-40000444-4-4420000-2-2200000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-40000444-4-4420000-2-220000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000

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