Finite Group Databasebeta

← Group #11872374

Character table — Group #11872374

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666663446668812121212242424244444121212122661212121212122424242424242444446688121224242424666121244812121212121212242422441228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-1-1-1-1-111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111111-1-1-1-1-1-1-1-111111-1111-1-1-1-11111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-111-1-1-1111-1-111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-111-111-1-1-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111111-1-11111-1-1-1111-1-11-1-11111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111111-1-1-111-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111111-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-11111-1-1-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111-11
χ13111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-1111-1-111-11-1-111-1-1-1-1-1-11111-1
χ14111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-11-11-1-1-111111111-1-1-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11111111-1-1-11-1111-1-1-1-1-1-111-1-11-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-111-111-1-111-1-11111111-1-1-1-11-111-1-11111-1-111-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000200-2002200-2-2000000000000-20000000000-22000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000-200200-2-200-2-2000000000000200000000002-2000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000200-200220022000000000000-200000000002-2000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000-200200-2-2002200000000000020000000000-22000
χ2122222-122-1-1222-1-122-1-1-122-12-1222220000000022222-1-1-1-1-1-1-1-1-1-1200222-1-100000000-1-1-1-1-1022-10000-1-1-1-10000-100
χ2222222-122-1-1222-1-122-1-1-122-12-1222220000000022222-1-1-1-1-1-1-1-1-1-1-200-2-2-21100000000-1-1-1-1-10-2-21000011110000100
χ2322222-122-1-1222-1-122-1-1-1-2-2-12-12-2-2-2-200000000-2-2-222-1-1-1-1111111200222-1-100000000111-1-10-2-2-10000-1-1110000100
χ2422222-122-1-1222-1-122-1-1-1-2-2-12-12-2-2-2-200000000-2-2-222-1-1-1-1111111-200-2-2-21100000000111-1-10221000011-1-10000-100
χ2522222-122-1-1222-1-1-2-2-1-1-122-12-12222200000000-2-2-2-2-211-1-1-1-1-1-1-1-12002-2-2-1-100000000111110-22-1000011-1-10000100
χ2622222-122-1-1222-1-1-2-2-1-1-122-12-12222200000000-2-2-2-2-211-1-1-1-1-1-1-1-1-200-22211000000001111102-210000-1-1110000-100
χ2722222-122-1-1222-1-1-2-2-1-1-1-2-2-12-12-2-2-2-200000000222-2-211-1-11111112002-2-2-1-100000000-1-1-11102-2-1000011110000-100
χ2822222-122-1-1222-1-1-2-2-1-1-1-2-2-12-12-2-2-2-200000000222-2-211-1-1111111-200-2221100000000-1-1-1110-2210000-1-1-1-10000100
χ292222-122222-1-1-12-122-1-1-1222-12-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-1-1-10220000022-1-1-1-1-1-12-1-1-1-12000-1-1-1-100000000000
χ302222-122222-1-1-12-122-1-1-1222-12-1-1-1-1-1-2-2-2-211112-1-1-1-122-1-122-1-1-1-10-2-200000-2-21111112-1-1-1-1-2000111100000000000
χ312222-122222-1-1-12-122-1-1-1-2-22-12-111112222-1-1-1-1-211-1-122-1-1-2-2111102200000-2-2-1-11111-211-1-1-2000-1-11100000000000
χ322222-122222-1-1-12-122-1-1-1-2-22-12-11111-2-2-2-21111-211-1-122-1-1-2-211110-2-2000002211-1-1-1-1-211-1-1200011-1-100000000000
χ332222-122222-1-1-12-1-2-2-1-1-1222-12-1-1-1-1-12222-1-1-1-1-21111-2-2-1-122-1-1-1-10-2-20000022-1-1-1-1-1-1-21111-2000111100000000000
χ342222-122222-1-1-12-1-2-2-1-1-1222-12-1-1-1-1-1-2-2-2-21111-21111-2-2-1-122-1-1-1-102200000-2-2111111-211112000-1-1-1-100000000000
χ352222-122222-1-1-12-1-2-2-1-1-1-2-22-12-111112222-1-1-1-12-1-111-2-2-1-1-2-211110-2-200000-2-2-1-111112-1-111200011-1-100000000000
χ362222-122222-1-1-12-1-2-2-1-1-1-2-22-12-11111-2-2-2-211112-1-111-2-2-1-1-2-21111022000002211-1-1-1-12-1-111-2000-1-11100000000000
χ3722-2-2222-2-22-22-2-222i−2i-22-200-2-22200002i−2i2i−2i2i2i−2i−2i0002i−2i2i−2i2-200000002-200000002i−2i00000002i−2i00002-20000000000000
χ3822-2-2222-2-22-22-2-222i−2i-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i0002i−2i2i−2i2-20000000-220000000−2i2i00000002i−2i0000-220000000000000
χ3922-2-2222-2-22-22-2-22−2i2i-22-200-2-22200002i−2i2i−2i2i2i−2i−2i000−2i2i−2i2i2-20000000-2200000002i−2i0000000−2i2i0000-220000000000000
χ4022-2-2222-2-22-22-2-22−2i2i-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i000−2i2i−2i2i2-200000002-20000000−2i2i0000000−2i2i00002-20000000000000
χ4122-2-222-22-22-22-2-2200-22-20022-2-200002i−2i−2i2i2i2i−2i−2i0000000-2200000000002i−2i0000−2i2i000000000000000002i−2i002-200000
χ4222-2-222-22-22-22-2-2200-22-20022-2-200002i−2i−2i2i2i2i−2i−2i0000000-220000000000−2i2i0000−2i2i00000000000000000−2i2i00-2200000
χ4322-2-222-22-22-22-2-2200-22-20022-2-20000−2i2i2i−2i−2i−2i2i2i0000000-2200000000002i−2i00002i−2i000000000000000002i−2i00-2200000
χ4422-2-222-22-22-22-2-2200-22-20022-2-20000−2i2i2i−2i−2i−2i2i2i0000000-220000000000−2i2i00002i−2i00000000000000000−2i2i002-200000
χ4522-2-2-122-2-221-11-2-12i−2i1-1100-212-133−3−32i−2i2i−2i−i−iii0−i3i3−ii2i−2i-110033−3−302-20000000−ii−i3−i3i3i30−i3i3−ii0000-113−300000000000
χ4622-2-2-122-2-221-11-2-12i−2i1-1100-212-133−3−3−2i2i−2i2iii−i−i0−i3i3−ii2i−2i-110033−3−30-220000000i−ii3i3−i3−i30−i3i3−ii00001-1−3300000000000
χ4722-2-2-122-2-221-11-2-12i−2i1-1100-212-1−3−3332i−2i2i−2i−i−iii0i3−i3−ii2i−2i-1100−3−33302-20000000−iii3i3−i3−i30i3−i3−ii0000-11−3300000000000
χ4822-2-2-122-2-221-11-2-12i−2i1-1100-212-1−3−333−2i2i−2i2iii−i−i0i3−i3−ii2i−2i-1100−3−3330-220000000i−i−i3−i3i3i30i3−i3−ii00001-13−300000000000
χ4922-2-2-122-2-221-11-2-1−2i2i1-1100-212-133−3−32i−2i2i−2i−i−iii0i3−i3i−i−2i2i-110033−3−30-220000000−ii−i3−i3i3i30i3−i3i−i00001-1−3300000000000
χ5022-2-2-122-2-221-11-2-1−2i2i1-1100-212-133−3−3−2i2i−2i2iii−i−i0i3−i3i−i−2i2i-110033−3−302-20000000i−ii3i3−i3−i30i3−i3i−i0000-113−300000000000
χ5122-2-2-122-2-221-11-2-1−2i2i1-1100-212-1−3−3332i−2i2i−2i−i−iii0−i3i3i−i−2i2i-1100−3−3330-220000000−iii3i3−i3−i30−i3i3i−i00001-13−300000000000
χ5222-2-2-122-2-221-11-2-1−2i2i1-1100-212-1−3−333−2i2i−2i2iii−i−i0−i3i3i−i−2i2i-1100−3−33302-20000000i−i−i3−i3i3i30−i3i3i−i0000-11−3300000000000
χ5344444-2-4-4-2-2444-2-200-2-2-2002-42-4000000000000000000022000000400-400-2-200000000000000002000000000000000
χ5444444-2-4-4-2-2444-2-200-2-2-2002-42-4000000000000000000022000000-400400220000000000000000-2000000000000000
χ554444-24-4-444-2-2-24-200-2-2-200-42-42000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ564444-24-4-444-2-2-24-200-2-2-200-42-420000-4-44422220000000220000000000000000-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000-211110000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-422-2-2-2-21122-1-1-1-100000000000000002-1-1110000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000002-1-1-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000004-2-222221122-1-1-1-10000000000000000-211-1-10000000000000000000
χ6144-4-44-24-42-2-44-42-24i−4i2-22002-4-240000000000000004i−4i−2i2i-220000000000000000000000000−2i2i0000000000000000000
χ6244-4-44-24-42-2-44-42-2−4i4i2-22002-4-24000000000000000−4i4i2i−2i-2200000000000000000000000002i−2i0000000000000000000
χ6344-4-44-2-442-2-44-42-2002-2200-242-400000000000000000002-200000000004i−4i00000000000000000000000−2i2i000000000
χ6444-4-44-2-442-2-44-42-2002-2200-242-400000000000000000002-20000000000−4i4i000000000000000000000002i−2i000000000
χ6544-4-4-24-44-442-22-4-2002-22004-2-4200004i−4i−4i4i−2i−2i2i2i00000002-200000000000000002i−2i0000000000000000000000000000
χ6644-4-4-24-44-442-22-4-2002-22004-2-420000−4i4i4i−4i2i2i−2i−2i00000002-20000000000000000−2i2i0000000000000000000000000000
χ6744-4-4-2-24-42-22-22214i−4i-11-10022-2-22323−23−23000000000−2i32i3−2i2i−2i2i1-100−3−33300000000000000000i3−i3i−i0000000000000000000
χ6844-4-4-2-24-42-22-22214i−4i-11-10022-2-2−23−2323230000000002i3−2i3−2i2i−2i2i1-10033−3−300000000000000000−i3i3i−i0000000000000000000
χ6944-4-4-2-24-42-22-2221−4i4i-11-10022-2-22323−23−230000000002i3−2i32i−2i2i−2i1-100−3−33300000000000000000−i3i3−ii0000000000000000000
χ7044-4-4-2-24-42-22-2221−4i4i-11-10022-2-2−23−232323000000000−2i32i32i−2i2i−2i1-10033−3−300000000000000000i3−i3−ii0000000000000000000
χ714-44-444004-4-4-44-44004-4-400000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ724-44-444004-4-4-44-44004-4-4000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ734-44-4-24004-422-2-4-200-2220000006−66−60000−2i32i3−2i32i3000000000006−66−600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ744-44-4-24004-422-2-4-200-2220000006−66−600002i3−2i32i3−2i3000000000006−66−6000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ754-44-4-24004-422-2-4-200-222000000−66−660000−2i32i3−2i32i300000000000−66−66000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ764-44-4-24004-422-2-4-200-222000000−66−6600002i3−2i32i3−2i300000000000−66−6600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ774-4-444400-4-44-4-44400-4-4422−22000022−22−22220000000000000000022−2222−22−22220000000000000000000000000000000000000000
χ784-4-444400-4-44-4-44400-4-44−22220000−222222−2200000000000000000−2222−222222−220000000000000000000000000000000000000000
χ794-4-444-200224-4-4-2-20022-222−22000022−22−222200000000000000000−22−222−2000000−2i32i300000000000000000000000i6−i60000000
χ804-4-444-200224-4-4-2-20022-222−22000022−22−222200000000000000000−22−222−20000002i3−2i300000000000000000000000−i6i60000000
χ814-4-444-200224-4-4-2-20022-2−22220000−222222−22000000000000000002−22−2−22000000−2i32i300000000000000000000000−i6i60000000
χ824-4-444-200224-4-4-2-20022-2−22220000−222222−22000000000000000002−22−2−220000002i3−2i300000000000000000000000i6−i60000000
χ834-4-44-2400-4-4-2224-20022-222−220000−222−2000023−23−232300000000022−22−222−20000000000006−6−66000000000000000000000000
χ844-4-44-2400-4-4-2224-20022-222−220000−222−20000−232323−2300000000022−22−222−2000000000000−666−6000000000000000000000000
χ854-4-44-2400-4-4-2224-20022-2−222200002−2−22000023−23−2323000000000−22222−2−22000000000000−666−6000000000000000000000000
χ864-4-44-2400-4-4-2224-20022-2−222200002−2−220000−232323−23000000000−22222−2−220000000000006−6−66000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4-884-44-444200-22-200-4-4440000000000000000000-220000000000000000000000000000000000000000000000
χ898-88-88-400-44-8-884-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400-4444-442002-2-200000026−2626−260000000000000000000−66−660000000000000000000000000000000000000000
χ918-88-8-4-400-4444-442002-2-2000000−2626−262600000000000000000006−66−60000000000000000000000000000000000000000
χ928-8-88-4-40044-444-4200-2-2242−420000−222222−2200000000000000000−22222−2−220000000000000000000000000000000000000000
χ938-8-88-4-40044-444-4200-2-22−4242000022−22−22220000000000000000022−22−222−20000000000000000000000000000000000000000

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