Finite Group Databasebeta

← Group #11867939

Character table — Group #11867939

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112222222224444444446688888888888121212121212122424242424242424363672112222222224444444446688888888888121212121212122424242424242424363672
order122334466121236661212121212886812242424242424242488824242424266824242424242222664466121266661212121212886812242424242424242488824242424266824242424242
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111-1-1-1111-1-1-1-1-11111111111111111111111111111111111-1-11111-1-1-1111-1-1-1-1-1
χ311111111111111111111111-11-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-111111111111111111111111-11-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1
χ411111111111111111111111-11-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1111111111111111111111111-11-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-11
χ511111111111111111111-1-111111111111-111-1-1-1-1111-1-1-111-1-1-111111111111111111111-1-111111111111-111-1-1-1-1111-1-1-111-1-1-1
χ611111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ711111111111111111111-1-11-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-1111111111111111111111-1-11-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-11
χ811111111111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-111111111111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1
χ922222-2-222-2-22222-2-2-2-2-20020-20000000002i−2i00000000002i−2i00022222-2-222-2-22222-2-2-2-2-20020-20000000002i−2i00000000002i−2i000
χ1022222-2-222-2-22222-2-2-2-2-20020-2000000000−2i2i0000000000−2i2i00022222-2-222-2-22222-2-2-2-2-20020-2000000000−2i2i0000000000−2i2i000
χ112222-1222-122-12-1-1-1-1-12-100-12-122-1-1-1-1-1-102200002-1-1000-1-10002222-1222-122-12-1-1-1-1-12-100-12-122-1-1-1-1-1-102200002-1-1000-1-1000
χ122222-1222-122-12-1-1-1-1-12-100-12-122-1-1-1-1-1-10-2-20000-211000110002222-1222-122-12-1-1-1-1-12-100-12-122-1-1-1-1-1-10-2-20000-21100011000
χ132222-1222-122-12-1-1-1-1-12-100-1-2-1-2-21111110220000-211000-1-10002222-1222-122-12-1-1-1-1-12-100-1-2-1-2-21111110220000-211000-1-1000
χ142222-1222-122-12-1-1-1-1-12-100-1-2-1-2-21111110-2-200002-1-1000110002222-1222-122-12-1-1-1-1-12-100-1-2-1-2-21111110-2-200002-1-100011000
χ152222-1-2-22-1-2-2-12-1-1111-2100-10100333−3−3−302i−2i00000−i3i3000−ii0002222-1-2-22-1-2-2-12-1-1111-2100-10100333−3−3−302i−2i00000−i3i3000−ii000
χ162222-1-2-22-1-2-2-12-1-1111-2100-10100333−3−3−30−2i2i00000i3−i3000i−i0002222-1-2-22-1-2-2-12-1-1111-2100-10100333−3−3−30−2i2i00000i3−i3000i−i000
χ172222-1-2-22-1-2-2-12-1-1111-2100-10100−3−3−333302i−2i00000i3−i3000−ii0002222-1-2-22-1-2-2-12-1-1111-2100-10100−3−3−333302i−2i00000i3−i3000−ii000
χ182222-1-2-22-1-2-2-12-1-1111-2100-10100−3−3−33330−2i2i00000−i3i3000i−i0002222-1-2-22-1-2-2-12-1-1111-2100-10100−3−3−33330−2i2i00000−i3i3000i−i000
χ19222-1222-12-1-1-1-12-12-1-1-1222-12-1-1-12-1-12-1-1200-1-1-1-10002-1-100000222-1222-12-1-1-1-12-12-1-1-1222-12-1-1-12-1-12-1-1200-1-1-1-10002-1-100000
χ20222-1222-12-1-1-1-12-12-1-1-1222-1-2-111-211-211200-1-1-1-1000-21100000222-1222-12-1-1-1-12-12-1-1-1222-1-2-111-211-211200-1-1-1-1000-21100000
χ21222-1222-12-1-1-1-12-12-1-1-12-2-2-12-1-1-12-1-12-1-1-2001111000-21100000222-1222-12-1-1-1-12-12-1-1-12-2-2-12-1-1-12-1-12-1-1-2001111000-21100000
χ22222-1222-12-1-1-1-12-12-1-1-12-2-2-1-2-111-211-211-20011110002-1-100000222-1222-12-1-1-1-12-12-1-1-12-2-2-1-2-111-211-211-20011110002-1-100000
χ2322-2222-222222-2-22222-2-200-20-2000000000000000000000002-2022-2222-222222-2-22222-2-200-20-2000000000000000000000002-20
χ2422-2222-222222-2-22222-2-200-20-200000000000000000000000-22022-2222-222222-2-22222-2-200-20-200000000000000000000000-220
χ2522-222-2222-2-22-2-22-2-2-22222-20200000000-20022-2-20000000000022-222-2222-2-22-2-22-2-2-22222-20200000000-20022-2-200000000000
χ2622-222-2222-2-22-2-22-2-2-222-2-2-20200000000200-2-2220000000000022-222-2222-2-22-2-22-2-2-222-2-2-20200000000200-2-22200000000000
χ2722-2-12-22-1211-11-2-1-211-122210-13−303−303−3-200-1-11100003−30000022-2-12-22-1211-11-2-1-211-122210-13−303−303−3-200-1-11100003−300000
χ2822-2-12-22-1211-11-2-1-211-122210-1−330−330−33-200-1-1110000−330000022-2-12-22-1211-11-2-1-211-122210-1−330−330−33-200-1-1110000−3300000
χ2922-2-12-22-1211-11-2-1-211-12-2-210-13−303−303−320011-1-10000−330000022-2-12-22-1211-11-2-1-211-12-2-210-13−303−303−320011-1-10000−3300000
χ3022-2-12-22-1211-11-2-1-211-12-2-210-1−330−330−3320011-1-100003−30000022-2-12-22-1211-11-2-1-211-12-2-210-1−330−330−3320011-1-100003−300000
χ31444-24-4-4-2422-2-24-2-4222-400-20200000000000000000000000000444-24-4-4-2422-2-24-2-4222-400-20200000000000000000000000000
χ32444-2-244-2-2-2-21-2-21-211-2-200141-2-2-211-211000000000000000000444-2-244-2-2-2-21-2-21-211-2-200141-2-2-211-211000000000000000000
χ33444-2-244-2-2-2-21-2-21-211-2-2001-41222-1-12-1-1000000000000000000444-2-244-2-2-2-21-2-21-211-2-2001-41222-1-12-1-1000000000000000000
χ34444-2-2-4-4-2-2221-2-212-1-1220010-10023−3−3−2333000000000000000000444-2-2-4-4-2-2221-2-212-1-1220010-10023−3−3−2333000000000000000000
χ35444-2-2-4-4-2-2221-2-212-1-1220010-100−233323−3−3000000000000000000444-2-2-4-4-2-2221-2-212-1-1220010-100−233323−3−3000000000000000000
χ3644-44-24-44-244-2-42-2-2-2-2-42002020000000000000000000000000044-44-24-44-244-2-42-2-2-2-2-420020200000000000000000000000000
χ3744-44-2-444-2-4-4-2-42-22224-20020-20000000000000000000000000044-44-2-444-2-4-4-2-42-22224-20020-200000000000000000000000000
χ3844-4-244-4-24-2-2-22-4-24-2-22-4002020000000000000000000000000044-4-244-4-24-2-2-22-4-24-2-22-40020200000000000000000000000000
χ3944-4-2-24-4-2-2-2-21221-2112200-10-10003-30-3300000000000000000044-4-2-24-4-2-2-2-21221-2112200-10-10003-30-33000000000000000000
χ4044-4-2-24-4-2-2-2-21221-2112200-10-1000-3303-300000000000000000044-4-2-24-4-2-2-2-21221-2112200-10-1000-3303-3000000000000000000
χ4144-4-2-2-44-2-22212212-1-1-2-200-10123−230−330−3300000000000000000044-4-2-2-44-2-22212212-1-1-2-200-10123−230−330−33000000000000000000
χ4244-4-2-2-44-2-22212212-1-1-2-200-101−232303−303−300000000000000000044-4-2-2-44-2-22212212-1-1-2-200-101−232303−303−3000000000000000000
χ434-404400-4-400400-40000022−220000000000000022−2200000000000004-404400-4-400400-40000022−220000000000000022−220000000000000
χ444-404400-4-400400-400000−222200000000000000−222200000000000004-404400-4-400400-400000−222200000000000000−22220000000000000
χ454-40-24002-423−23-2002023−230022−2200000000000000−226−6000000000004-40-24002-423−23-2002023−230022−2200000000000000−226−600000000000
χ464-40-24002-423−23-2002023−2300−2222000000000000002−2−66000000000004-40-24002-423−23-2002023−2300−2222000000000000002−2−6600000000000
χ474-40-24002-4−2323-20020−23230022−2200000000000000−22−66000000000004-40-24002-4−2323-20020−23230022−2200000000000000−22−6600000000000
χ484-40-24002-4−2323-20020−232300−2222000000000000002−26−6000000000004-40-24002-4−2323-20020−232300−2222000000000000002−26−600000000000
χ498-808-400-8400-40040000000000000000000000000000000000008-808-400-8400-4004000000000000000000000000000000000000
χ508-80-4-4004443−43200-20−23230000000000000000000000000000000008-80-4-4004443−43200-20−2323000000000000000000000000000000000
χ518-80-4-40044−4343200-2023−230000000000000000000000000000000008-80-4-40044−4343200-2023−23000000000000000000000000000000000
χ52111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ531111111111111111111111111111111111-1-11111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-111111
χ5411111111111111111111111-11-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1111111-1-1-1-11
χ5511111111111111111111111-11-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-111-1-1-1-1-1-1-11111111-1
χ5611111111111111111111-1-111111111111-111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1111-1-1111
χ5711111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1
χ5811111111111111111111-1-11-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1111111111-1-11111111-1-1-1-1-111-1
χ5911111111111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1111111111111111-1-1-1-1-1-111-1-11
χ6022222-2-222-2-22222-2-2-2-2-20020-20000000002i−2i00000000002i−2i000-2-2-2-2-222-2-222-2-2-2-22222200-202000000000−2i2i0000000000−2i2i000
χ6122222-2-222-2-22222-2-2-2-2-20020-2000000000−2i2i0000000000−2i2i000-2-2-2-2-222-2-222-2-2-2-22222200-2020000000002i−2i00000000002i−2i000
χ622222-1222-122-12-1-1-1-1-12-100-12-122-1-1-1-1-1-102200002-1-1000-1-1000-2-2-2-21-2-2-21-2-21-211111-21001-21-2-21111110-2-20000-21100011000
χ632222-1222-122-12-1-1-1-1-12-100-12-122-1-1-1-1-1-10-2-20000-21100011000-2-2-2-21-2-2-21-2-21-211111-21001-21-2-211111102200002-1-1000-1-1000
χ642222-1222-122-12-1-1-1-1-12-100-1-2-1-2-21111110220000-211000-1-1000-2-2-2-21-2-2-21-2-21-211111-210012122-1-1-1-1-1-10-2-200002-1-100011000
χ652222-1222-122-12-1-1-1-1-12-100-1-2-1-2-21111110-2-200002-1-100011000-2-2-2-21-2-2-21-2-21-211111-210012122-1-1-1-1-1-10220000-211000-1-1000
χ662222-1-2-22-1-2-2-12-1-1111-2100-10100333−3−3−302i−2i00000−i3i3000−ii000-2-2-2-2122-21221-211-1-1-12-10010-100−3−3−33330−2i2i00000i3−i3000i−i000
χ672222-1-2-22-1-2-2-12-1-1111-2100-10100333−3−3−30−2i2i00000i3−i3000i−i000-2-2-2-2122-21221-211-1-1-12-10010-100−3−3−333302i−2i00000−i3i3000−ii000
χ682222-1-2-22-1-2-2-12-1-1111-2100-10100−3−3−333302i−2i00000i3−i3000−ii000-2-2-2-2122-21221-211-1-1-12-10010-100333−3−3−30−2i2i00000−i3i3000i−i000
χ692222-1-2-22-1-2-2-12-1-1111-2100-10100−3−3−33330−2i2i00000−i3i3000i−i000-2-2-2-2122-21221-211-1-1-12-10010-100333−3−3−302i−2i00000i3−i3000−ii000
χ70222-1222-12-1-1-1-12-12-1-1-1222-12-1-1-12-1-12-1-1200-1-1-1-10002-1-100000-2-2-21-2-2-21-21111-21-2111-2-2-21-2111-211-211-2001111000-21100000
χ71222-1222-12-1-1-1-12-12-1-1-1222-1-2-111-211-211200-1-1-1-1000-21100000-2-2-21-2-2-21-21111-21-2111-2-2-2121-1-12-1-12-1-1-20011110002-1-100000
χ72222-1222-12-1-1-1-12-12-1-1-12-2-2-12-1-1-12-1-12-1-1-2001111000-21100000-2-2-21-2-2-21-21111-21-2111-2221-2111-211-211200-1-1-1-10002-1-100000
χ73222-1222-12-1-1-1-12-12-1-1-12-2-2-1-2-111-211-211-20011110002-1-100000-2-2-21-2-2-21-21111-21-2111-222121-1-12-1-12-1-1200-1-1-1-1000-21100000
χ7422-2222-222222-2-22222-2-200-20-2000000000000000000000002-20-2-22-2-2-22-2-2-2-2-222-2-2-2-2220020200000000000000000000000-220
χ7522-2222-222222-2-22222-2-200-20-200000000000000000000000-220-2-22-2-2-22-2-2-2-2-222-2-2-2-22200202000000000000000000000002-20
χ7622-222-2222-2-22-2-22-2-2-22222-20200000000-20022-2-200000000000-2-22-2-22-2-2-222-222-2222-2-2-2-220-200000000200-2-22200000000000
χ7722-222-2222-2-22-2-22-2-2-222-2-2-20200000000200-2-22200000000000-2-22-2-22-2-2-222-222-2222-2-22220-200000000-20022-2-200000000000
χ7822-2-12-22-1211-11-2-1-211-122210-13−303−303−3-200-1-11100003−300000-2-221-22-21-2-1-11-1212-1-11-2-2-2-101−330−330−3320011-1-10000−3300000
χ7922-2-12-22-1211-11-2-1-211-122210-1−330−330−33-200-1-1110000−3300000-2-221-22-21-2-1-11-1212-1-11-2-2-2-1013−303−303−320011-1-100003−300000
χ8022-2-12-22-1211-11-2-1-211-12-2-210-13−303−303−320011-1-10000−3300000-2-221-22-21-2-1-11-1212-1-11-222-101−330−330−33-200-1-11100003−300000
χ8122-2-12-22-1211-11-2-1-211-12-2-210-1−330−330−3320011-1-100003−300000-2-221-22-21-2-1-11-1212-1-11-222-1013−303−303−3-200-1-1110000−3300000
χ82444-24-4-4-2422-2-24-2-4222-400-20200000000000000000000000000-4-4-42-4442-4-2-222-424-2-2-240020-200000000000000000000000000
χ83444-2-244-2-2-2-21-2-21-211-2-200141-2-2-211-211000000000000000000-4-4-422-4-42222-122-12-1-12200-1-4-1222-1-12-1-1000000000000000000
χ84444-2-244-2-2-2-21-2-21-211-2-2001-41222-1-12-1-1000000000000000000-4-4-422-4-42222-122-12-1-12200-14-1-2-2-211-211000000000000000000
χ85444-2-2-4-4-2-2221-2-212-1-1220010-10023−3−3−2333000000000000000000-4-4-4224422-2-2-122-1-211-2-200-10100−233323−3−3000000000000000000
χ86444-2-2-4-4-2-2221-2-212-1-1220010-100−233323−3−3000000000000000000-4-4-4224422-2-2-122-1-211-2-200-1010023−3−3−2333000000000000000000
χ8744-44-24-44-244-2-42-2-2-2-2-420020200000000000000000000000000-4-44-42-44-42-4-424-222224-200-20-200000000000000000000000000
χ8844-44-2-444-2-4-4-2-42-22224-20020-200000000000000000000000000-4-44-424-4-424424-22-2-2-2-4200-20200000000000000000000000000
χ8944-4-244-4-24-2-2-22-4-24-2-22-40020200000000000000000000000000-4-442-4-442-4222-242-422-2400-20-200000000000000000000000000
χ9044-4-2-24-4-2-2-2-21221-2112200-10-10003-30-33000000000000000000-4-4422-442222-1-2-2-12-1-1-2-200101000-3303-3000000000000000000
χ9144-4-2-24-4-2-2-2-21221-2112200-10-1000-3303-3000000000000000000-4-4422-442222-1-2-2-12-1-1-2-2001010003-30-33000000000000000000
χ9244-4-2-2-44-2-22212212-1-1-2-200-10123−230−330−33000000000000000000-4-44224-422-2-2-1-2-2-1-211220010-1−232303−303−3000000000000000000
χ9344-4-2-2-44-2-22212212-1-1-2-200-101−232303−303−3000000000000000000-4-44224-422-2-2-1-2-2-1-211220010-123−230−330−33000000000000000000
χ944-404400-4-400400-40000022−220000000000000022−220000000000000-440-4-4004400-400400000−222200000000000000−22220000000000000
χ954-404400-4-400400-400000−222200000000000000−22220000000000000-440-4-4004400-40040000022−220000000000000022−220000000000000
χ964-40-24002-423−23-2002023−230022−2200000000000000−226−600000000000-4402-400-24−2323200-20−232300−2222000000000000002−2−6600000000000
χ974-40-24002-423−23-2002023−2300−2222000000000000002−2−6600000000000-4402-400-24−2323200-20−23230022−2200000000000000−226−600000000000
χ984-40-24002-4−2323-20020−23230022−2200000000000000−22−6600000000000-4402-400-2423−23200-2023−2300−2222000000000000002−26−600000000000
χ994-40-24002-4−2323-20020−232300−2222000000000000002−26−600000000000-4402-400-2423−23200-2023−230022−2200000000000000−22−6600000000000
χ1008-808-400-8400-4004000000000000000000000000000000000000-880-84008-400400-4000000000000000000000000000000000000
χ1018-80-4-4004443−43200-20−2323000000000000000000000000000000000-8804400-4-4−4343-2002023−23000000000000000000000000000000000
χ1028-80-4-40044−4343200-2023−23000000000000000000000000000000000-8804400-4-443−43-20020−2323000000000000000000000000000000000

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