Finite Group Databasebeta

← Group #11867174

Character table — Group #11867174

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order1222223344446666663666666688881212121212121212121212126612122424242424242424242424242424242422442224444466666612121212121212121212248888
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
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ511111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1
χ611111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ711111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-11111
χ811111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-11111-1-11111
χ91111-1-1111-1-111111111-1-1-1-111111-1-11-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-1
χ101111-1-1111-1-111111111-1-1-1-111111-1-11-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-1-1-111-1-11111-1-111-1-111-1-1
χ111111-1-1111-1-111111111-1-1-1-111111-1-11-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-111-1-111-1-111-1-111-1-11111-1-111
χ121111-1-1111-1-111111111-1-1-1-111111-1-11-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-111-1-111-1-111-1-111-1-111-1-111
χ131111-1-1111-1-111111111-1-1-1-1111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-11-11-1-111-1-1-1-1111111-1-1-1-1-1-111
χ141111-1-1111-1-111111111-1-1-1-1111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-11-11-111-1-11111-1-1-1-1-1-111-1-1-1-111
χ151111-1-1111-1-111111111-1-1-1-1111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-11-11111-1-1-1-111-1-1-1-1111111-1-1
χ161111-1-1111-1-111111111-1-1-1-1111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-111-11-1-1-1-11111-1-11111-1-11111-1-1
χ1722222222-2-2-2-2222222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-2000000000000000022-2-20000000000000000000000002-20000
χ1822222222-2-2-2-2222222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-20000000000000000-2-222000000000000000000000000-220000
χ192222222-122222-1-1-122-122-1-1-1-1-12222-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100002202200000-1-1-1-1-1-1-1-1000000000000
χ202222222-122222-1-1-122-122-1-1-1-1-12222-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-20-2-20000011111111000000000000
χ212222222-122222-1-1-122-122-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-12-1-1-1-1-1-1-2-2111111-2-21111110000220-2-200000-1-1-1-11111000000000000
χ222222222-122222-1-1-122-122-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-12-1-1-1-1-1-1-2-2111111-2-21111110000-2-2022000001111-1-1-1-1000000000000
χ23222222-122222-1222-1-1-1-1-122-1-1-12222222-1-1-1-1-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000200222-1-100000000-1-1-1-1-1-1000000
χ24222222-122222-1222-1-1-1-1-122-1-1-12222222-1-1-1-1-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-200-2-2-21100000000111111000000
χ25222222-122222-1222-1-1-1-1-122-1-1-1-2-2-2-2222-1-1-1-1-12-1-1-1-1-1-1-111-2-2111111-2-21111000000200-2-22-1-100000000-1-11111000000
χ26222222-122222-1222-1-1-1-1-122-1-1-1-2-2-2-2222-1-1-1-1-12-1-1-1-1-1-1-111-2-2111111-2-21111000000-20022-2110000000011-1-1-1-1000000
χ272222-2-222-222-22222222-2-2-2-22220000-222-222-2-2-2-2-2-2-2-222000000000000000022-2-2000000000000000000000000-220000
χ282222-2-222-222-22222222-2-2-2-22220000-222-222-2-2-2-2-2-2-2-2220000000000000000-2-2220000000000000000000000002-20000
χ292222-2-22-12-2-222-1-1-122-1-2-211-1-1-122-2-2-1112-2-2-1-1-12-1-1111122-1-1-1-1-1-1-2-211111100002-20-2200000-1-111-1-111000000000000
χ302222-2-22-12-2-222-1-1-122-1-2-211-1-1-122-2-2-1112-2-2-1-1-12-1-1111122-1-1-1-1-1-1-2-21111110000-2202-20000011-1-111-1-1000000000000
χ312222-2-22-12-2-222-1-1-122-1-2-211-1-1-1-2-222-1112-2-2-1-1-12-1-11111-2-211111122-1-1-1-1-1-100002-202-200000-1-11111-1-1000000000000
χ322222-2-22-12-2-222-1-1-122-1-2-211-1-1-1-2-222-1112-2-2-1-1-12-1-11111-2-211111122-1-1-1-1-1-10000-220-220000011-1-1-1-111000000000000
χ332222-2-2-122-2-22-1222-1-1-111-2-2-1-1-122-2-22-2-2-111-1-12-1-1-11111-1-122-1-1-1-111-2-211110000002002-2-2-1-10000000011-1-111000000
χ342222-2-2-122-2-22-1222-1-1-111-2-2-1-1-122-2-22-2-2-111-1-12-1-1-11111-1-122-1-1-1-111-2-21111000000-200-2221100000000-1-111-1-1000000
χ352222-2-2-122-2-22-1222-1-1-111-2-2-1-1-1-2-2222-2-2-111-1-12-1-1-1111111-2-21111-1-122-1-1-1-1000000200-22-2-1-1000000001111-1-1000000
χ362222-2-2-122-2-22-1222-1-1-111-2-2-1-1-1-2-2222-2-2-111-1-12-1-1-1111111-2-21111-1-122-1-1-1-1000000-2002-221100000000-1-1-1-111000000
χ372-2-222-22222-2-2-22-2-22-222-22-2-2-222i−2i2i−2i22-222-222-2-2-2-22-22-22i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ382-2-222-22222-2-2-22-2-22-222-22-2-2-22−2i2i−2i2i22-222-222-2-2-2-22-22-2−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ392-2-222-222-2-222-22-2-22-222-22-2-2-220000-2-22-2-22-2-222222-2-2200000000000000000000000000000000000000000000002-22-2
χ402-2-222-222-2-222-22-2-22-222-22-2-2-220000-2-22-2-22-2-222222-2-220000000000000000000000000000000000000000000000-22-22
χ412-2-222-22-122-2-2-2-1112-2-12-2-1111-12i−2i2i−2i-1-1122-2-1-11-211-11-112i−2i−ii−i−iii2i−2i−ii−i−iii00000000000000−i3i3−i3i33−33−3000000000000
χ422-2-222-22-122-2-2-2-1112-2-12-2-1111-12i−2i2i−2i-1-1122-2-1-11-211-11-112i−2i−ii−i−iii2i−2i−ii−i−iii00000000000000i3−i3i3−i3−33−33000000000000
χ432-2-222-22-122-2-2-2-1112-2-12-2-1111-1−2i2i−2i2i-1-1122-2-1-11-211-11-11−2i2ii−iii−i−i−2i2ii−iii−i−i00000000000000−i3i3−i3i3−33−33000000000000
χ442-2-222-22-122-2-2-2-1112-2-12-2-1111-1−2i2i−2i2i-1-1122-2-1-11-211-11-11−2i2ii−iii−i−i−2i2ii−iii−i−i00000000000000i3−i3i3−i33−33−3000000000000
χ452-2-222-2-1222-2-212-2-2-11-1-112-211-12i−2i2i−2i22-2-1-11-1-1-2111-11-11−ii2i−2i−i−iii−ii2i−2i−i−iii000000000000−i3i300000000−i3i33−33−3000000
χ462-2-222-2-1222-2-212-2-2-11-1-112-211-12i−2i2i−2i22-2-1-11-1-1-2111-11-11−ii2i−2i−i−iii−ii2i−2i−i−iii000000000000i3−i300000000i3−i3−33−33000000
χ472-2-222-2-1222-2-212-2-2-11-1-112-211-1−2i2i−2i2i22-2-1-11-1-1-2111-11-11i−i−2i2iii−i−ii−i−2i2iii−i−i000000000000−i3i300000000−i3i3−33−33000000
χ482-2-222-2-1222-2-212-2-2-11-1-112-211-1−2i2i−2i2i22-2-1-11-1-1-2111-11-11i−i−2i2iii−i−ii−i−2i2iii−i−i000000000000i3−i300000000i3−i33−33−3000000
χ492-2-22-22222-22-2-22-2-22-22-22-22-2-222i−2i−2i2i2-222-2222-2-2-2-2-22-222i−2i2i−2i2i2i−2i−2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ502-2-22-22222-22-2-22-2-22-22-22-22-2-22−2i2i2i−2i2-222-2222-2-2-2-2-22-22−2i2i−2i2i−2i−2i2i2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ512-2-22-2222-22-22-22-2-22-22-22-22-2-220000-22-2-22-2-2-22222-222-200000000000000000000000000000000000000000000002-2-22
χ522-2-22-2222-22-22-22-2-22-22-22-22-2-220000-22-2-22-2-2-22222-222-20000000000000000000000000000000000000000000000-222-2
χ532-2-22-222-12-22-2-2-1112-2-1-221-111-12i−2i−2i2i-11-12-22-1-11-2111-11-12i−2i−ii−i−iii−2i2ii−iii−i−i00000000000000−i3i3i3−i33−3−33000000000000
χ542-2-22-222-12-22-2-2-1112-2-1-221-111-12i−2i−2i2i-11-12-22-1-11-2111-11-12i−2i−ii−i−iii−2i2ii−iii−i−i00000000000000i3−i3−i3i3−333−3000000000000
χ552-2-22-222-12-22-2-2-1112-2-1-221-111-1−2i2i2i−2i-11-12-22-1-11-2111-11-1−2i2ii−iii−i−i2i−2i−ii−i−iii00000000000000−i3i3i3−i3−333−3000000000000
χ562-2-22-222-12-22-2-2-1112-2-1-221-111-1−2i2i2i−2i-11-12-22-1-11-2111-11-1−2i2ii−iii−i−i2i−2i−ii−i−iii00000000000000i3−i3−i3i33−3−33000000000000
χ572-2-22-22-122-22-212-2-2-11-11-1-2211-12i−2i−2i2i2-22-11-1-1-1-21111-11-1−ii2i−2i−i−iiii−i−2i2iii−i−i000000000000−i3i300000000i3−i33−3−33000000
χ582-2-22-22-122-22-212-2-2-11-11-1-2211-12i−2i−2i2i2-22-11-1-1-1-21111-11-1−ii2i−2i−i−iiii−i−2i2iii−i−i000000000000i3−i300000000−i3i3−333−3000000
χ592-2-22-22-122-22-212-2-2-11-11-1-2211-1−2i2i2i−2i2-22-11-1-1-1-21111-11-1i−i−2i2iii−i−i−ii2i−2i−i−iii000000000000−i3i300000000i3−i3−333−3000000
χ602-2-22-22-122-22-212-2-2-11-11-1-2211-1−2i2i2i−2i2-22-11-1-1-1-21111-11-1i−i−2i2iii−i−i−ii2i−2i−i−iii000000000000i3−i300000000−i3i33−3−33000000
χ614444444-2-4-4-4-44-2-2-244-244-2-2-2-2-20000222-4-4-4222-422-2-22200000000000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-2444-2-2-2-2-244-2-2-20000-4-4-422222-4222-2-22200000000000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-21114444-2-2-2-2-2-211-2-2111111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-21-2-2-2-2111-4-4-4-4-2-2-2-2-2-211-2-21111112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21110000222222-1-122-1-111-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21110000222222-1-122-1-111-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ674444-4-44-2-444-44-2-2-244-2-4-422-2-2-200002-2-2-444222-42222-2-200000000000000000000000000000000000000000000000000
χ684444-4-4-24-444-4-2444-2-2-222-4-4-2-2-20000-4442-2-222-422222-2-200000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-21222211144-4-4-222-22211-2-211-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-212222111-4-444-222-22211-2-211-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-21222211100002-2-22-2-2-1-122-1-1-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-21222211100002-2-22-2-2-1-122-1-1-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000
χ7344-4-4004400004-44-4-4-4400004-4-4000000000000000000000000000000000000004i−4i000000000000000000000000000000
χ7444-4-4004400004-44-4-4-4400004-4-400000000000000000000000000000000000000−4i4i000000000000000000000000000000
χ754-44-400440000-4-4-44-4440000-44-40000000000000000000000000000000000004-400000000000000000000000000000000
χ764-44-400440000-4-4-44-4440000-44-4000000000000000000000000000000000000-4400000000000000000000000000000000
χ774-4-444-44-2-4-444-4-2224-4-24-4-2222-2000022-2-4-4422-24-2-2-222-200000000000000000000000000000000000000000000000000
χ784-4-444-4-24-4-44424-4-4-22-2-224-422-20000-4-4422-2224-2-2-2-222-200000000000000000000000000000000000000000000000000
χ794-4-444-4-2-244-4-42-222-221-22-22-1-114i−4i4i−4i-2-22-2-221122-1-11-11-1−2i2i−2i2iii−i−i−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ804-4-444-4-2-244-4-42-222-221-22-22-1-11−4i4i−4i4i-2-22-2-221122-1-11-11-12i−2i2i−2i−i−iii2i−2i2i−2i−i−iii0000000000000000000000000000000000
χ814-4-444-4-2-2-4-4442-222-221-22-22-1-11000022-222-2-1-1-2-2111-1-1100003-3-3300003-3-330000000000000000000000000000000000
χ824-4-444-4-2-2-4-4442-222-221-22-22-1-11000022-222-2-1-1-2-2111-1-110000-333-30000-333-30000000000000000000000000000000000
χ834-4-44-444-2-44-44-4-2224-4-2-442-222-200002-22-44-422-24-2-22-2-2200000000000000000000000000000000000000000000000000
χ844-4-44-44-24-44-4424-4-4-22-22-2-4422-20000-44-42-22224-2-2-22-2-2200000000000000000000000000000000000000000000000000
χ854-4-44-44-2-24-44-42-222-2212-22-2-1-114i−4i−4i4i-22-2-22-21122-1-1-11-11−2i2i−2i2iii−i−i2i−2i2i−2i−i−iii0000000000000000000000000000000000
χ864-4-44-44-2-24-44-42-222-2212-22-2-1-11−4i4i4i−4i-22-2-22-21122-1-1-11-112i−2i2i−2i−i−iii−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ874-4-44-44-2-2-44-442-222-2212-22-2-1-1100002-222-22-1-1-2-211-111-100003-3-330000-333-30000000000000000000000000000000000
χ884-4-44-44-2-2-44-442-222-2212-22-2-1-1100002-222-22-1-1-2-211-111-10000-333-300003-3-330000000000000000000000000000000000
χ8988-8-8008-4000084-44-8-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-4-88-844-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-44-4444200002-2-200000000006i−6i006i−6i000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44-4444200002-2-20000000000−6i6i00−6i6i000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-844-4-88-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-8-884-4-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-40000444-44-420000-22-200000000006i−6i00−6i6i000000000000000000000000000000000000000000000000000000
χ968-88-800-4-40000444-44-420000-22-20000000000−6i6i006i−6i000000000000000000000000000000000000000000000000000000

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