Finite Group Databasebeta

← Group #11868816

Character table — Group #11868816

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122222334444666666666636666666661212121212121212444444121212121212121212121212121212121212121244444412121212121212124488121212121212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-111-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ91111-1-1111-1-11-1-1-1-11111111-1-11-1-1-1-111111-1-1-1-1111-1-11-111-1-111-1-111-1-11111-1-1-1-1-1111-1-111-1-111-1-11-11-111-1-111-1-111-1-111-1-11-1
χ101111-1-1111-1-11-1-1-1-11111111-1-11-1-1-1-111111-1-1-1-1111-1-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-111111-1-111-1-11-1-11-1-11111-1-1-1-111-1-111-11
χ111111-1-1111-1-11-1-1-1-11111111-1-11-1-1-1-111111-1-1-1-1111-1-1-11-1-111-1-11111-1-1-1-1-1-11111-1111-1-111-1-111-1-1-11-1111-1-1-1-111-1-11111-1-1-11
χ121111-1-1111-1-11-1-1-1-11111111-1-11-1-1-1-111111-1-1-1-1111-1-1-11-1-111-1-11111-1-1-1-1-1-11111-1-1-111111-1-111-1-1-111-1-1-111-1-11111-1-1-1-1111-1
χ131111-1-1111-1-11-1-1-1-11111111-1-11-1-1-1-111111-1-1-1-11-1-1111-111-1-111-1-111-1-11111-1-1-1-1111-1-1-1-1-111-1-111-111-111-1-1-1-11111-1-1-1-111-11
χ141111-1-1111-1-11-1-1-1-11111111-1-11-1-1-1-111111-1-1-1-11-1-1111-111-1-111-1-111-1-11111-1-1-1-11-1-1-111-1-111-1-111-11-11-1-111-1-111-1-11111-1-11-1
χ151111-1-1111-1-11-1-1-1-11111111-1-11-1-1-1-111111-1-1-1-11-1-111-11-1-111-1-11111-1-1-1-1-1-11111111-1-1-1-1-111-1-1111-1-1111-1-111-1-1-1-111-1-1111-1
χ161111-1-1111-1-11-1-1-1-11111111-1-11-1-1-1-111111-1-1-1-11-1-111-11-1-111-1-11111-1-1-1-1-1-111111-1-1-111-1-111-1-1111-11-1-1-11111-1-111-1-111-1-1-11
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-222-2-20000000000-2-2-2-200000000200-2002222-2-2-2-20000000000000000000000
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2220000000000-2-2-2-200000000-200200-2-2-2-222220000000000000000000000
χ192222222-1222222222-12-1-12-1-1-1-1-1-1-1-1-1-122-122-1-1-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1022022000000000022-1-1-1-10000-1-1-1-1000000
χ202222222-1222222222-12-1-12-1-1-1-1-1-1-1-1-1-122-122-1-1-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10-2-20-2-20000000000-2-2111100001111000000
χ212222222-1222222222-12-1-12-1-1-1-1-1-1-1-1-1-122-122-1-1-10000-2-21111-2-2-2-2-1-1-1-1111111110220220000000000-2-2-1-1-1-100001111000000
χ222222222-1222222222-12-1-12-1-1-1-1-1-1-1-1-1-122-122-1-1-10000-2-21111-2-2-2-2-1-1-1-1111111110-2-20-2-200000000002211110000-1-1-1-1000000
χ23222222-122222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-1-1-12-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1200200-1-1-1-1-1-1-1-122000000-1-1-1-10000000000
χ24222222-122222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-1-1-12-1-12222222-2-2-2-2-2-21111-1-1-1-111111111200200-1-1-1-1-1-1-1-1-2-200000011110000000000
χ25222222-122222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-1-1-12-1-1222-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-200-20011111111-2-200000011110000000000
χ26222222-122222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-1-1-12-1-1222-2-2-2-2-2-2-2-2-2-21111-1-1-1-111111111-200-2001111111122000000-1-1-1-10000000000
χ27222222-12-2-2-2-2-1-1-1-1-12-122-1-122-1-1-1-1-1-1-111-211-2-2-222-2-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i3200-200-1-1-1-1111100000000−i3i3−i3i30000000000
χ28222222-12-2-2-2-2-1-1-1-1-12-122-1-122-1-1-1-1-1-1-111-211-2-2-222-2-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i3200-200-1-1-1-1111100000000i3−i3i3−i30000000000
χ29222222-12-2-2-2-2-1-1-1-1-12-122-1-122-1-1-1-1-1-1-111-211-2-2-2-2-222000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i3-2002001111-1-1-1-100000000i3−i3i3−i30000000000
χ30222222-12-2-2-2-2-1-1-1-1-12-122-1-122-1-1-1-1-1-1-111-211-2-2-2-2-222000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i3-2002001111-1-1-1-100000000−i3i3−i3i30000000000
χ312222-2-222-222-2-2-2-2-22222222-2-22-2-2-2-222-2-2-22222-222220000000000-2-22200000000-200-20022-2-2-2-2220000000000000000000000
χ322222-2-222-222-2-2-2-2-22222222-2-22-2-2-2-222-2-2-22222-2-2-2-2-20000000000-2-22200000000200200-2-22222-2-20000000000000000000000
χ332222-2-22-12-2-22-2-2-2-22-12-1-12-111-11111-1-122-1-2-211-100002-2-1-11122-2-2-1-111-1-1-1-111110220-2-200000000002-2-1-1110000-1-111000000
χ342222-2-22-12-2-22-2-2-2-22-12-1-12-111-11111-1-122-1-2-211-100002-2-1-11122-2-2-1-111-1-1-1-111110-2-20220000000000-2211-1-1000011-1-1000000
χ352222-2-22-12-2-22-2-2-2-22-12-1-12-111-11111-1-122-1-2-211-10000-2211-1-1-2-222-1-1111111-1-1-1-10220-2-20000000000-22-1-111000011-1-1000000
χ362222-2-22-12-2-22-2-2-2-22-12-1-12-111-11111-1-122-1-2-211-10000-2211-1-1-2-222-1-1111111-1-1-1-10-2-202200000000002-211-1-10000-1-111000000
χ372222-2-2-122-2-221111-12-122-1-1-2-2-11111-1-1-1-1211-2-2222-2-22-222-2-2-1-111-1-111-1-1-1-11111-200200-1-111-1-1112-2000000-1-1110000000000
χ382222-2-2-122-2-221111-12-122-1-1-2-2-11111-1-1-1-1211-2-2222-2-2-22-2-22211-1-1-1-1111111-1-1-1-1-200200-1-111-1-111-2200000011-1-10000000000
χ392222-2-2-122-2-221111-12-122-1-1-2-2-11111-1-1-1-1211-2-22-2-2222-222-2-2-1-111-1-111-1-1-1-11111200-20011-1-111-1-1-2200000011-1-10000000000
χ402222-2-2-122-2-221111-12-122-1-1-2-2-11111-1-1-1-1211-2-22-2-222-22-2-22211-1-1-1-1111111-1-1-1-1200-20011-1-111-1-12-2000000-1-1110000000000
χ412222-2-2-12-222-21111-12-122-1-1-2-2-11111-1-111-2-1-122-22222000000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-200-200-1-11111-1-100000000−i3i3i3−i30000000000
χ422222-2-2-12-222-21111-12-122-1-1-2-2-11111-1-111-2-1-122-22222000000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-200-200-1-11111-1-100000000i3−i3−i3i30000000000
χ432222-2-2-12-222-21111-12-122-1-1-2-2-11111-1-111-2-1-122-2-2-2-2-2000000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i320020011-1-1-1-11100000000i3−i3−i3i30000000000
χ442222-2-2-12-222-21111-12-122-1-1-2-2-11111-1-111-2-1-122-2-2-2-2-2000000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i320020011-1-1-1-11100000000−i3i3i3−i30000000000
χ452-22-22-22222-2-222-2-222-2-2-2-222-2-222-2-22-22-222-22-2-2000000000000002-22-2000000000000000000000000000000000000002-22-200
χ462-22-22-22222-2-222-2-222-2-2-2-222-2-222-2-22-22-222-22-2-2000000000000002-22-200000000000000000000000000000000000000-22-2200
χ472-22-22-222-2-22222-2-222-2-2-2-222-2-222-2-22-2-22-2-22-22200000000000000-22-220000000002i−2i02i−2i0000000000002i−2i2i−2i00000000000000
χ482-22-22-222-2-22222-2-222-2-2-2-222-2-222-2-22-2-22-2-22-22200000000000000-22-22000000000−2i2i0−2i2i000000000000−2i2i−2i2i00000000000000
χ492-22-22-22-1-2-22222-2-22-1-211-2-1-111-1-111-11-221-221-1-10000003−33−300001-11-13−33−33−33−302i−2i02i−2i000000000000−ii−ii0000−i3i3−i3i3000000
χ502-22-22-22-1-2-22222-2-22-1-211-2-1-111-1-111-11-221-221-1-10000003−33−300001-11-13−33−33−33−30−2i2i0−2i2i000000000000i−ii−i0000i3−i3i3−i3000000
χ512-22-22-22-1-2-22222-2-22-1-211-2-1-111-1-111-11-221-221-1-1000000−33−3300001-11-1−33−33−33−3302i−2i02i−2i000000000000−ii−ii0000i3−i3i3−i3000000
χ522-22-22-22-1-2-22222-2-22-1-211-2-1-111-1-111-11-221-221-1-1000000−33−3300001-11-1−33−33−33−330−2i2i0−2i2i000000000000i−ii−i0000−i3i3−i3i3000000
χ532-22-2-22222-22-2-2-22222-2-2-2-22-22-2-2-2222-22-22-22-22-2000000000000002-2-22000000000000000000000000000000000000002-2-2200
χ542-22-2-22222-22-2-2-22222-2-2-2-22-22-2-2-2222-22-22-22-22-2000000000000002-2-2200000000000000000000000000000000000000-222-200
χ552-22-2-2222-22-22-2-22222-2-2-2-22-22-2-2-2222-2-22-22-22-2200000000000000-222-20000000002i−2i0−2i2i0000000000002i−2i−2i2i00000000000000
χ562-22-2-2222-22-22-2-22222-2-2-2-22-22-2-2-2222-2-22-22-22-2200000000000000-222-2000000000−2i2i02i−2i000000000000−2i2i2i−2i00000000000000
χ572-22-2-222-1-22-22-2-2222-1-211-2-11-1111-1-1-11-2212-2-11-10000003−3−3300001-1-113−33−3−33−3302i−2i0−2i2i000000000000−iii−i0000−i3i3i3−i3000000
χ582-22-2-222-1-22-22-2-2222-1-211-2-11-1111-1-1-11-2212-2-11-10000003−3−3300001-1-113−33−3−33−330−2i2i02i−2i000000000000i−i−ii0000i3−i3−i3i3000000
χ592-22-2-222-1-22-22-2-2222-1-211-2-11-1111-1-1-11-2212-2-11-1000000−333−300001-1-11−33−333−33−302i−2i0−2i2i000000000000−iii−i0000i3−i3−i3i3000000
χ602-22-2-222-1-22-22-2-2222-1-211-2-11-1111-1-1-11-2212-2-11-1000000−333−300001-1-11−33−333−33−30−2i2i02i−2i000000000000i−i−ii0000−i3i3i3−i3000000
χ614444444-2-4-4-4-444444-24-2-24-2-2-2-2-2-2-2-2-2-2-4-42-4-422200000000000000222200000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2000044-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-20000-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222220000000000−2i32i3−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-211111112222222200000000002i3−2i32i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ664444-4-44-2-444-4-4-4-4-44-24-2-24-222-22222-2-2-4-4244-2-220000000000000022-2-200000000000000000000000000000000000000000000
χ674444-4-4-2-24-4-442222-2-2-2-2-2-21221-1-1-1-111-2-2-22222-200004-4-2-222-2-22211-1-11111-1-1-1-1000000000000000000000000000000000000
χ684444-4-4-2-24-4-442222-2-2-2-2-2-21221-1-1-1-111-2-2-22222-20000-4422-2-222-2-211-1-1-1-1-1-11111000000000000000000000000000000000000
χ694444-4-4-2-2-444-42222-2-2-2-2-2-21221-1-1-1-111222-2-2-2-220000000000−2i32i32i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ704444-4-4-2-2-444-42222-2-2-2-2-2-21221-1-1-1-111222-2-2-2-2200000000002i3−2i3−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ7144-4-4004400000000-4-444-4-440040000-4-4000000004-40000000000000000000000000000004-40000000000000000000000000000
χ7244-4-4004400000000-4-444-4-440040000-4-400000000-44000000000000000000000000000000-440000000000000000000000000000
χ7344-4-400-240000−2i32i3−2i32i32-4-24-42-200-2−2i32i3−2i32i322000000004-4000000000000000000000000000000-22−2i32i300000000000000000000000000
χ7444-4-400-240000−2i32i3−2i32i32-4-24-42-200-2−2i32i3−2i32i32200000000-440000000000000000000000000000002-22i3−2i300000000000000000000000000
χ7544-4-400-2400002i3−2i32i3−2i32-4-24-42-200-22i3−2i32i3−2i322000000004-4000000000000000000000000000000-222i3−2i300000000000000000000000000
χ7644-4-400-2400002i3−2i32i3−2i32-4-24-42-200-22i3−2i32i3−2i32200000000-440000000000000000000000000000002-2−2i32i300000000000000000000000000
χ774-44-44-44-244-4-444-4-44-2-422-4-2-222-2-222-224-4-24-4-22200000000000000-22-2200000000000000000000000000000000000000000000
χ784-44-44-4-2444-4-4-2-222-242-4-42-24-42-2-222-22-224-224-4-400000000000000-22-2200000000000000000000000000000000000000000000
χ794-44-44-4-24-4-444-2-222-242-4-42-24-42-2-222-222-2-42-2-444000000000000002-22-200000000000000000000000000000000000000000000
χ804-44-44-4-2-244-4-4-2-222-2-222221-22-111-1-11-1-22-2-22-222000000000000001-11-13i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000
χ814-44-44-4-2-244-4-4-2-222-2-222221-22-111-1-11-1-22-2-22-222000000000000001-11-1−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000
χ824-44-44-4-2-2-4-444-2-222-2-222221-22-111-1-11-12-222-22-2-200000023−2323−230000-11-11−33−33−33−33000000000000000000000000000000000000
χ834-44-44-4-2-2-4-444-2-222-2-222221-22-111-1-11-12-222-22-2-2000000−2323−23230000-11-113−33−33−33−3000000000000000000000000000000000000
χ844-44-4-444-24-44-4-4-4444-2-422-4-22-2222-2-2-224-4-2-442-2200000000000000-222-200000000000000000000000000000000000000000000
χ854-44-4-44-244-44-422-2-2-242-4-42-2-44222-2-2-22-2242-2-44-400000000000000-222-200000000000000000000000000000000000000000000
χ864-44-4-44-24-44-4422-2-2-242-4-42-2-44222-2-2-222-2-4-224-44000000000000002-2-2200000000000000000000000000000000000000000000
χ874-44-4-44-2-24-44-422-2-2-2-2222212-2-1-1-1111-1-22-22-22-22000000000000001-1-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ884-44-4-44-2-24-44-422-2-2-2-2222212-2-1-1-1111-1-22-22-22-22000000000000001-1-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000
χ894-44-4-44-2-2-44-4422-2-2-2-2222212-2-1-1-1111-12-22-22-22-200000023−23−23230000-111-1−33−333−33−3000000000000000000000000000000000000
χ904-44-4-44-2-2-44-4422-2-2-2-2222212-2-1-1-1111-12-22-22-22-2000000−232323−230000-111-13−33−3−33−33000000000000000000000000000000000000
χ914-4-44004400000000-4-4-4-444400-40000-4400000000004-400000000000000000000000000000000004-40000000000000000000000
χ924-4-44004400000000-4-4-4-444400-40000-440000000000-440000000000000000000000000000000000-440000000000000000000000
χ934-4-4400-240000−2i32i32i3−2i32-42-44-2-2002−2i32i32i3−2i32-200000000004-400000000000000000000000000000000−2i32i3-220000000000000000000000
χ944-4-4400-240000−2i32i32i3−2i32-42-44-2-2002−2i32i32i3−2i32-20000000000-44000000000000000000000000000000002i3−2i32-20000000000000000000000
χ954-4-4400-2400002i3−2i3−2i32i32-42-44-2-20022i3−2i3−2i32i32-200000000004-4000000000000000000000000000000002i3−2i3-220000000000000000000000
χ964-4-4400-2400002i3−2i3−2i32i32-42-44-2-20022i3−2i3−2i32i32-20000000000-4400000000000000000000000000000000−2i32i32-20000000000000000000000
χ9788-8-8008-400000000-848-44-8-400-40000440000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000−4i34i3−4i34i344-4-44420022i3−2i32i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400004i3−4i34i3−4i344-4-4442002−2i32i3−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-400000000-84-84-48-400400004-40000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000−4i34i34i3−4i34444-4-4200-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004i3−4i3−4i34i34444-4-4200-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000

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