Finite Group Databasebeta

← Group #11784625

Character table — Group #11784625

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order122222222233666666223446666666666666666666666666666666121212121212121244444444444412121212121212121212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ5111111111111111111-1-11-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1
χ6111111111111111111-1-11-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ7111111111111111111-1-11-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111
χ8111111111111111111-1-11-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111
χ9111111-1-1-1-111111111111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i-1-1-1-111
χ10111111-1-1-1-111111111111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii-1-1-1-111
χ11111111-1-1-1-111111111111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii1111-1-1
χ12111111-1-1-1-111111111111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i1111-1-1
χ13111111-1-1-1-111111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii11-1-1-1-1
χ14111111-1-1-1-111111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-1
χ15111111-1-1-1-111111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-1-11111
χ16111111-1-1-1-111111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-1-11111
χ1722222222222-122-1-12-122-12222-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000222200000000-1-1-1-1-1-1-1-1000000
χ1822222222222-122-1-12-122-12222-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-20000000011111111000000
χ1922222222222-122-1-12-1-2-2-1-2-222-1-122-1-1-1-1-1-1-1-1-122-1-1-2-211-1-1-1-11111-2-21111110000000022-2-200000000-1-1-1-11111000000
χ2022222222222-122-1-12-1-2-2-1-2-222-1-122-1-1-1-1-1-1-1-1-122-1-1-2-211-1-1-1-11111-2-211111100000000-2-222000000001111-1-1-1-1000000
χ212222222222-12-1-122-1222-122-1-122-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1000022220000-1-1-1-1-1-1-1-100000000000000
χ222222222222-12-1-122-1222-122-1-122-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-2-2-2-200001111111100000000000000
χ232222222222-12-1-122-12-2-2-1-2-2-1-122-1-122-1-1-1-1-1-1-1-1-12211-2-2-1-1-1-1111111-2-21111000022-2-20000-1-1-1-1111100000000000000
χ242222222222-12-1-122-12-2-2-1-2-2-1-122-1-122-1-1-1-1-1-1-1-1-12211-2-2-1-1-1-1111111-2-211110000-2-22200001111-1-1-1-100000000000000
χ25222222-2-2-2-22-122-1-12-122-1-2-222-1-1-2-211-1-1-1-1-1-1-1-2-21122-1-11111-1-1-1-1-2-2111111000000002i−2i2i−2i00000000−i−iii−i−iii000000
χ26222222-2-2-2-22-122-1-12-122-1-2-222-1-1-2-211-1-1-1-1-1-1-1-2-21122-1-11111-1-1-1-1-2-211111100000000−2i2i−2i2i00000000ii−i−iii−i−i000000
χ27222222-2-2-2-22-122-1-12-1-2-2-12222-1-1-2-211-1-1-1-1-1-1-1-2-211-2-2111111111122-1-1-1-1-1-1000000002i−2i−2i2i00000000−i−iiiii−i−i000000
χ28222222-2-2-2-22-122-1-12-1-2-2-12222-1-1-2-211-1-1-1-1-1-1-1-2-211-2-2111111111122-1-1-1-1-1-100000000−2i2i2i−2i00000000ii−i−i−i−iii000000
χ29222222-2-2-2-2-12-1-122-1222-1-2-2-1-12211-2-2-1-1-1-1-1-1-111-2-2-1-1221111-1-1-1-111-2-2111100002i−2i2i−2i0000−i−iii−i−iii00000000000000
χ30222222-2-2-2-2-12-1-122-1222-1-2-2-1-12211-2-2-1-1-1-1-1-1-111-2-2-1-1221111-1-1-1-111-2-211110000−2i2i−2i2i0000ii−i−iii−i−i00000000000000
χ31222222-2-2-2-2-12-1-122-12-2-2-122-1-12211-2-2-1-1-1-1-1-1-111-2-211-2-211111111-1-122-1-1-1-100002i−2i−2i2i0000−i−iiiii−i−i00000000000000
χ32222222-2-2-2-2-12-1-122-12-2-2-122-1-12211-2-2-1-1-1-1-1-1-111-2-211-2-211111111-1-122-1-1-1-10000−2i2i2i−2i0000ii−i−i−i−iii00000000000000
χ332222-2-222-2-22222222200200-2-2-2-22-22-222-2-2-2-222-22-2000022-2-200000000000022-2-2000000000000000000000000002-200
χ342222-2-222-2-22222222200200-2-2-2-22-22-222-2-2-2-222-22-2000022-2-2000000000000-2-22200000000000000000000000000-2200
χ352222-2-2-2-2222222222200200-2-2-2-2-22-2222-2-2-2-22-22-220000-2-22200000000000022-2-200000000000000000000000000-2200
χ362222-2-2-2-2222222222200200-2-2-2-2-22-2222-2-2-2-22-22-220000-2-222000000000000-2-222000000000000000000000000002-200
χ372-2-222-22-22-222-2-2-2-222002002-22-22-2-22-2-222-2-22-222-200002-22-200000000000000000000000000000000000000002-2002-2
χ382-2-222-22-22-222-2-2-2-222002002-22-22-2-22-2-222-2-22-222-200002-22-20000000000000000000000000000000000000000-2200-22
χ392-2-222-2-22-2222-2-2-2-222002002-22-2-222-2-2-222-2-222-2-220000-22-2200000000000000000000000000000000000000002-200-22
χ402-2-222-2-22-2222-2-2-2-222002002-22-2-222-2-2-222-2-222-2-220000-22-220000000000000000000000000000000000000000-22002-2
χ412-2-22-222-2-2222-2-2-2-2222-222-2-22-2222-2-2-2-2-2-2222-2-2222-22-22-2-2222-2-22-22-222-2-20000000000000000000000000000000000
χ422-2-22-222-2-2222-2-2-2-222-222-22-22-2222-2-2-2-2-2-2222-2-222-22-222-2-22-2-222-22-22-2-2220000000000000000000000000000000000
χ432-2-22-222-2-222-1-2-2112-12-2-12-2-221-122111111-1-1-1-2-2-1-12-2-11-111-1-1-1112-2-11-1-11100000000000000000000−i3i3−i3i3−i3i3−i3i3000000
χ442-2-22-222-2-222-1-2-2112-12-2-12-2-221-122111111-1-1-1-2-2-1-12-2-11-111-1-1-1112-2-11-1-11100000000000000000000i3−i3i3−i3i3−i3i3−i3000000
χ452-2-22-222-2-222-1-2-2112-1-22-1-22-221-122111111-1-1-1-2-2-1-1-221-1-111-111-1-1-221-111-1-100000000000000000000−i3i3−i3i3i3−i3i3−i3000000
χ462-2-22-222-2-222-1-2-2112-1-22-1-22-221-122111111-1-1-1-2-2-1-1-221-1-111-111-1-1-221-111-1-100000000000000000000i3−i3i3−i3−i3i3−i3i3000000
χ472-2-22-222-2-22-1211-2-2-122-2-12-21-1-22-1-1-2-21111-1-1-11122-112-2-111-1-1-111-112-2-1-1110000000000003−33−33−33−300000000000000
χ482-2-22-222-2-22-1211-2-2-122-2-12-21-1-22-1-1-2-21111-1-1-11122-112-2-111-1-1-111-112-2-1-111000000000000−33−33−33−3300000000000000
χ492-2-22-222-2-22-1211-2-2-12-22-1-221-1-22-1-1-2-21111-1-1-111221-1-22-111-111-1-11-1-2211-1-10000000000003−33−3−33−3300000000000000
χ502-2-22-222-2-22-1211-2-2-12-22-1-221-1-22-1-1-2-21111-1-1-111221-1-22-111-111-1-11-1-2211-1-1000000000000−33−333−33−300000000000000
χ512-2-22-22-222-222-2-2-2-2222-22-22-22-22-2-222-2-2-2-222222-2-22-22-2-222-222-2-2-22-22-2-2220000000000000000000000000000000000
χ522-2-22-22-222-222-2-2-2-222-2222-2-22-22-2-222-2-2-2-222222-2-2-22-22-222-2-2-2222-22-222-2-20000000000000000000000000000000000
χ532-2-22-22-222-22-1-2-2112-12-2-1-22-221-1-2-2-1-11111-1-1-122112-2-111-1-11-1-111-221-111-1-1000000000000000000003−3−333−3−33000000
χ542-2-22-22-222-22-1-2-2112-12-2-1-22-221-1-2-2-1-11111-1-1-122112-2-111-1-11-1-111-221-111-1-100000000000000000000−333−3−333−3000000
χ552-2-22-22-222-22-1-2-2112-1-22-12-2-221-1-2-2-1-11111-1-1-12211-221-11-1-1111-1-12-2-11-1-111000000000000000000003−3−33−333−3000000
χ562-2-22-22-222-22-1-2-2112-1-22-12-2-221-1-2-2-1-11111-1-1-12211-221-11-1-1111-1-12-2-11-1-11100000000000000000000−333−33−3−33000000
χ572-2-22-22-222-2-1211-2-2-122-2-1-221-1-2211221111-1-1-1-1-1-2-2-112-21-1-11-1-1111-1-2211-1-1000000000000−i3i3i3−i3−i3i3i3−i300000000000000
χ582-2-22-22-222-2-1211-2-2-122-2-1-221-1-2211221111-1-1-1-1-1-2-2-112-21-1-11-1-1111-1-2211-1-1000000000000i3−i3−i3i3i3−i3−i3i300000000000000
χ592-2-22-22-222-2-1211-2-2-12-22-12-21-1-2211221111-1-1-1-1-1-2-21-1-221-1-1111-1-1-112-2-1-111000000000000−i3i3i3−i3i3−i3−i3i300000000000000
χ602-2-22-22-222-2-1211-2-2-12-22-12-21-1-2211221111-1-1-1-1-1-2-21-1-221-1-1111-1-1-112-2-1-111000000000000i3−i3−i3i3−i3i3i3−i300000000000000
χ614444444444-2-2-2-2-2-2-2-244144-2-2-2-2-2-2-2-21111111-2-2-2-2-2-2-2-211111111-2-2-2-211110000000000000000000000000000000000
χ624444444444-2-2-2-2-2-2-2-2-4-41-4-4-2-2-2-2-2-2-2-21111111-2-2-2-222221111-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ63444444-4-4-4-4-2-2-2-2-2-2-2-2441-4-4-2-2-2-2222211111112222-2-2-2-2-1-1-1-111112222-1-1-1-10000000000000000000000000000000000
χ64444444-4-4-4-4-2-2-2-2-2-2-2-2-4-4144-2-2-2-22222111111122222222-1-1-1-1-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ654444-4-444-4-44-244-2-24-200-200-4-4224-4-22-2-22222-24-4-220000-2-2220000000000000000000000000000000000000000000000
χ664444-4-444-4-4-24-2-244-2400-20022-4-4-224-4-2-22222-2-224-40000-2-2220000000000000000000000000000000000000000000000
χ674444-4-444-4-4-2-2-2-2-2-2-2-2001002222-22-2211-1-1-1-11-22-22000011-1-13-33-300003-33-30000000000000000000000000000000000
χ684444-4-444-4-4-2-2-2-2-2-2-2-2001002222-22-2211-1-1-1-11-22-22000011-1-1-33-330000-33-330000000000000000000000000000000000
χ694444-4-4-4-4444-244-2-24-200-200-4-422-442-2-2-22222-2-442-2000022-2-20000000000000000000000000000000000000000000000
χ704444-4-4-4-444-24-2-244-2400-20022-4-42-2-44-2-22222-22-2-44000022-2-20000000000000000000000000000000000000000000000
χ714444-4-4-4-444-2-2-2-2-2-2-2-20010022222-22-211-1-1-1-112-22-20000-1-1113-33-30000-33-330000000000000000000000000000000000
χ724444-4-4-4-444-2-2-2-2-2-2-2-20010022222-22-211-1-1-1-112-22-20000-1-111-33-3300003-33-30000000000000000000000000000000000
χ7344-4-4000000444-44-4-4-400400000000004-40000-4000000000000000000000000004i−4i000000000000000000000000000000
χ7444-4-4000000444-44-4-4-400400000000004-40000-400000000000000000000000000−4i4i000000000000000000000000000000
χ754-44-400000044-44-44-4-40040000000000-440000-40000000000000000000000004i−4i00000000000000000000000000000000
χ764-44-400000044-44-44-4-40040000000000-440000-4000000000000000000000000−4i4i00000000000000000000000000000000
χ774-4-444-44-44-44-2-4-4224-200-2004-4-224-42-222-2-222-2-44-220000-22-220000000000000000000000000000000000000000000000
χ784-4-444-44-44-4-2422-4-4-2400-200-224-4-22-4422-2-222-22-24-40000-22-220000000000000000000000000000000000000000000000
χ794-4-444-44-44-4-2-22222-2-200100-22-22-222-2-1-111-1-112-2-2200001-11-13-3-3300003-3-330000000000000000000000000000000000
χ804-4-444-44-44-4-2-22222-2-200100-22-22-222-2-1-111-1-112-2-2200001-11-1-333-30000-333-30000000000000000000000000000000000
χ814-4-444-4-44-444-2-4-4224-200-2004-4-22-44-2222-2-222-24-42-200002-22-20000000000000000000000000000000000000000000000
χ824-4-444-4-44-44-2422-4-4-2400-200-224-42-24-422-2-222-2-22-4400002-22-20000000000000000000000000000000000000000000000
χ834-4-444-4-44-44-2-22222-2-200100-22-222-2-22-1-111-1-11-222-20000-11-113-3-330000-333-30000000000000000000000000000000000
χ844-4-444-4-44-44-2-22222-2-200100-22-222-2-22-1-111-1-11-222-20000-11-11-333-300003-3-330000000000000000000000000000000000
χ854-4-44-444-4-44-2-22222-2-24-414-42-22-2-2-222-1-1-1-111122-2-2-22-221-1-1111-1-1-22-2211-1-10000000000000000000000000000000000
χ864-4-44-444-4-44-2-22222-2-2-441-442-22-2-2-222-1-1-1-111122-2-22-22-21-1-11-1-1112-22-2-1-1110000000000000000000000000000000000
χ874-4-44-44-444-4-2-22222-2-24-41-442-22-222-2-2-1-1-1-1111-2-222-22-22-111-111-1-12-22-2-1-1110000000000000000000000000000000000
χ884-4-44-44-444-4-2-22222-2-2-4414-42-22-222-2-2-1-1-1-1111-2-2222-22-2-111-1-1-111-22-2211-1-10000000000000000000000000000000000
χ8988-8-80000008-48-8-44-8400-40000000000-44000040000000000000000000000000000000000000000000000000000000000
χ9088-8-8000000-48-448-84-800-40000000000-44000040000000000000000000000000000000000000000000000000000000000
χ9188-8-8000000-4-4-44-444400200000000002-26-66-6-20000000000000000000000000000000000000000000000000000000000
χ9288-8-8000000-4-4-44-444400200000000002-2-66-66-20000000000000000000000000000000000000000000000000000000000
χ938-88-80000008-4-884-4-8400-400000000004-4000040000000000000000000000000000000000000000000000000000000000
χ948-88-8000000-484-4-884-800-400000000004-4000040000000000000000000000000000000000000000000000000000000000
χ958-88-8000000-4-44-44-4440020000000000-226-6-66-20000000000000000000000000000000000000000000000000000000000
χ968-88-8000000-4-44-44-4440020000000000-22-666-6-20000000000000000000000000000000000000000000000000000000000

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