Finite Group Databasebeta

← Group #11864423

Character table — Group #11864423

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666663446668812121212242424242244666626612121212121224242424242424444466881212242424246661212246681212121212242422241248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-1-1-1-1-111111111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111111-1-1-1-1-1-1-1-111111-11-1-11-1-111111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-111111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11-1-1111-1-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111111-1-11111-1-1-1111-111-1-1-1111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11111111-1-1-1-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-11-1-11-1-1111-1-11-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-111-111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-111-111-1-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-11-1-111-11
χ13111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-1111-1-11111-1-1-11-1-1-1-11-1-1111-1
χ14111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-11-1111-1-1-11111-111-1-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11111111-1-1-11-1-1-1111-1-1-1-1-111-11-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-111-111-1-111-1-11111111-1-1-1-1-1-1111-111111-1-11-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000200-2002200-2-20000000000000000-20000-2002000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000-200200-2-200-2-2000000000000000020000200-2000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000200-2002200220000000000000000-20000200-2000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000-200200-2-20022000000000000000020000-2002000
χ2122222-1222-1-122-1-122-1-1-122-122-1-1-1-1-12222-1-1-1-12-1-122-1-1-1-122-1-1-1-10220000022-1-1-1-1-1-12-1-1-1-120-1-10-1-1000000000000
χ2222222-1222-1-122-1-122-1-1-122-122-1-1-1-1-1-2-2-2-211112-1-122-1-1-1-122-1-1-1-10-2-200000-2-21111112-1-1-1-1-2011011000000000000
χ2322222-1222-1-122-1-122-1-1-1-2-2-122-111112222-1-1-1-1-21122-1-1-1-1-2-2111102200000-2-2-1-11111-211-1-1-20110-1-1000000000000
χ2422222-1222-1-122-1-122-1-1-1-2-2-122-11111-2-2-2-21111-21122-1-1-1-1-2-211110-2-2000002211-1-1-1-1-211-1-120-1-1011000000000000
χ2522222-1222-1-122-1-1-2-2-1-1-122-122-1-1-1-1-12222-1-1-1-1-211-2-211-1-122-1-1-1-10-2-20000022-1-1-1-1-1-1-21111-2011011000000000000
χ2622222-1222-1-122-1-1-2-2-1-1-122-122-1-1-1-1-1-2-2-2-21111-211-2-211-1-122-1-1-1-102200000-2-2111111-2111120-1-10-1-1000000000000
χ2722222-1222-1-122-1-1-2-2-1-1-1-2-2-122-111112222-1-1-1-12-1-1-2-211-1-1-2-211110-2-200000-2-2-1-111112-1-11120-1-1011000000000000
χ2822222-1222-1-122-1-1-2-2-1-1-1-2-2-122-11111-2-2-2-211112-1-1-2-211-1-1-2-21111022000002211-1-1-1-12-1-111-20110-1-1000000000000
χ292222-1222-122-1-12-122-1-1-1222-1-12222200000000222-1-122-1-1-1-1-1-1-1-1200222-1-100000000-1-1-1-1-10200200-1-1-1-1-10000-100
χ302222-1222-122-1-12-122-1-1-1222-1-12222200000000222-1-122-1-1-1-1-1-1-1-1-200-2-2-21100000000-1-1-1-1-10-200-200111110000100
χ312222-1222-122-1-12-122-1-1-1-2-22-1-12-2-2-2-200000000-2-2-2-1-122-1-1111111200222-1-100000000111-1-10-200-200-1-1-1110000100
χ322222-1222-122-1-12-122-1-1-1-2-22-1-12-2-2-2-200000000-2-2-2-1-122-1-1111111-200-2-2-21100000000111-1-10200200111-1-10000-100
χ332222-1222-122-1-12-1-2-2-1-1-1222-1-12222200000000-2-2-211-2-2-1-1-1-1-1-1-1-12002-2-2-1-100000000111110-200200-111-1-10000100
χ342222-1222-122-1-12-1-2-2-1-1-1222-1-12222200000000-2-2-211-2-2-1-1-1-1-1-1-1-1-200-2221100000000111110200-2001-1-1110000-100
χ352222-1222-122-1-12-1-2-2-1-1-1-2-22-1-12-2-2-2-20000000022211-2-2-1-11111112002-2-2-1-100000000-1-1-1110200-200-111110000-100
χ362222-1222-122-1-12-1-2-2-1-1-1-2-22-1-12-2-2-2-20000000022211-2-2-1-1111111-200-2221100000000-1-1-1110-2002001-1-1-1-10000100
χ372-2-22222-2-2-2-2-22222-2-2-2200-22-2200002-22-222-2-20002-22-2-2200000002-200000002-200000002-2000002-2000000000000
χ382-2-22222-2-2-2-2-22222-2-2-2200-22-220000-22-22-2-2220002-22-2-220000000-220000000-2200000002-200000-22000000000000
χ392-2-22222-2-2-2-2-2222-22-2-2200-22-2200002-22-222-2-2000-22-22-220000000-2200000002-20000000-2200000-22000000000000
χ402-2-22222-2-2-2-2-2222-22-2-2200-22-220000-22-22-2-222000-22-22-2200000002-20000000-220000000-22000002-2000000000000
χ412-2-2222-22-2-2-2-222200-2-22002-22-200002-2-2222-2-200000002-200000000002-20000-22000000000000000002-20002-20000
χ422-2-2222-22-2-2-2-222200-2-22002-22-200002-2-2222-2-200000002-20000000000-220000-2200000000000000000-22000-220000
χ432-2-2222-22-2-2-2-222200-2-22002-22-20000-222-2-2-22200000002-200000000002-200002-2000000000000000002-2000-220000
χ442-2-2222-22-2-2-2-222200-2-22002-22-20000-222-2-2-22200000002-20000000000-2200002-200000000000000000-220002-20000
χ452-2-222-12-2-211-22-1-12-211-10012-2-1−i3−i3i3i32-22-2-1-1110−i3i32-2-111-100−i3−i3i3i302-20000000-11−i3−i3i3i30−i3i3-1100−i3i30-11000000000000
χ462-2-222-12-2-211-22-1-12-211-10012-2-1−i3−i3i3i3-22-2211-1-10−i3i32-2-111-100−i3−i3i3i30-2200000001-1i3i3−i3−i30−i3i3-1100i3−i301-1000000000000
χ472-2-222-12-2-211-22-1-12-211-10012-2-1i3i3−i3−i32-22-2-1-1110i3−i32-2-111-100i3i3−i3−i302-20000000-11i3i3−i3−i30i3−i3-1100i3−i30-11000000000000
χ482-2-222-12-2-211-22-1-12-211-10012-2-1i3i3−i3−i3-22-2211-1-10i3−i32-2-111-100i3i3−i3−i30-2200000001-1−i3−i3i3i30i3−i3-1100−i3i301-1000000000000
χ492-2-222-12-2-211-22-1-1-2211-10012-2-1−i3−i3i3i32-22-2-1-1110i3−i3-221-11-100−i3−i3i3i30-220000000-11−i3−i3i3i30i3−i31-100i3−i301-1000000000000
χ502-2-222-12-2-211-22-1-1-2211-10012-2-1−i3−i3i3i3-22-2211-1-10i3−i3-221-11-100−i3−i3i3i302-200000001-1i3i3−i3−i30i3−i31-100−i3i30-11000000000000
χ512-2-222-12-2-211-22-1-1-2211-10012-2-1i3i3−i3−i32-22-2-1-1110−i3i3-221-11-100i3i3−i3−i30-220000000-11i3i3−i3−i30−i3i31-100−i3i301-1000000000000
χ522-2-222-12-2-211-22-1-1-2211-10012-2-1i3i3−i3−i3-22-2211-1-10−i3i3-221-11-100i3i3−i3−i302-200000001-1−i3−i3i3i30−i3i31-100i3−i30-11000000000000
χ5344444-2-4-44-2-244-2-200-2-2-2002-4-42000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ5444444-2-4-44-2-244-2-200-2-2-2002-4-420000-4-44422220000000220000000000000000-2-20000000000000000000000000000
χ554444-24-4-4-244-2-24-200-2-2-200-422-4000000000000000000022000000400-400-2-200000000000000000000200000000000
χ564444-24-4-4-244-2-24-200-2-2-200-422-4000000000000000000022000000-4004002200000000000000000000-200000000000
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
χ6144-4-44400-44-44-4-44004-4-4−2i22i20000−2i22i2−2i22i200000000000000000−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ6244-4-44400-44-44-4-44004-4-42i2−2i200002i2−2i22i2−2i2000000000000000002i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ6344-4-44-200-4-224-42-200-222−2i22i20000i2−i2i2−i20000−2i32i3−2i32i3000000000−2i22i2i2−i2i2−i20000000000006−66−6000000000000000000000000
χ6444-4-44-200-4-224-42-200-222−2i22i20000i2−i2i2−i200002i3−2i32i3−2i3000000000−2i22i2i2−i2i2−i2000000000000−66−66000000000000000000000000
χ6544-4-44-200-4-224-42-200-2222i2−2i20000−i2i2−i2i20000−2i32i3−2i32i30000000002i2−2i2−i2i2−i2i2000000000000−66−66000000000000000000000000
χ6644-4-44-200-4-224-42-200-2222i2−2i20000−i2i2−i2i200002i3−2i32i3−2i30000000002i2−2i2−i2i2−i2i20000000000006−66−6000000000000000000000000
χ6744-4-4-240024-4-22-4-200-222−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i2000000−2i32i3000000000000000000000006−60000000
χ6844-4-4-240024-4-22-4-200-222−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i20000002i3−2i300000000000000000000000−660000000
χ6944-4-4-240024-4-22-4-200-2222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i2000000−2i32i300000000000000000000000−660000000
χ7044-4-4-240024-4-22-4-200-2222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i20000002i3−2i3000000000000000000000006−60000000
χ714-44-444004-44-4-4-4400-44-400000000000000000000000000000000000000000−2i22i200−2i22i22i2−2i2000000000000000000000000
χ724-44-444004-44-4-4-4400-44-4000000000000000000000000000000000000000002i2−2i2002i2−2i2−2i22i2000000000000000000000000
χ734-44-44-20042-2-4-42-2002-220000006−6−660000−2i32i32i3−2i3000000000006−6−6600000000−2i22i200i2−i2−i2i2000000000000000000000000
χ744-44-44-20042-2-4-42-2002-220000006−6−6600002i3−2i3−2i32i3000000000006−6−66000000002i2−2i200−i2i2i2−i2000000000000000000000000
χ754-44-44-20042-2-4-42-2002-22000000−666−60000−2i32i32i3−2i300000000000−666−6000000002i2−2i200−i2i2i2−i2000000000000000000000000
χ764-44-44-20042-2-4-42-2002-22000000−666−600002i3−2i3−2i32i300000000000−666−600000000−2i22i200i2−i2−i2i2000000000000000000000000
χ774-4-444-2-44-422-44-2-20022-200-2-44200004-4-44-2-2220000000-2200000000000000002-20000000000000000000000000000
χ784-4-444-2-44-422-44-2-20022-200-2-4420000-444-422-2-20000000-220000000000000000-220000000000000000000000000000
χ794-4-44-244-42-4-42-24-24-422-200-4-224000000000000000-224-42-20000000000000000000000000-220000000000000000000
χ804-4-44-244-42-4-42-24-2-4422-200-4-2240000000000000002-2-442-200000000000000000000000002-20000000000000000000
χ814-4-44-24-442-4-42-24-20022-20042-2-40000000000000000000-2200000000004-400000000000000000000000-22000000000
χ824-4-44-24-442-4-42-24-20022-20042-2-40000000000000000000-220000000000-44000000000000000000000002-2000000000
χ834-4-44-2-24-42222-2-214-4-1-11002-22-2−2i3−2i32i32i3000000000−2i32i3-22-22-1100i3i3−i3−i300000000000000000i3−i31-10000000000000000000
χ844-4-44-2-24-42222-2-214-4-1-11002-22-22i32i3−2i3−2i30000000002i3−2i3-22-22-1100−i3−i3i3i300000000000000000−i3i31-10000000000000000000
χ854-4-44-2-24-42222-2-21-44-1-11002-22-2−2i3−2i32i32i30000000002i3−2i32-22-2-1100i3i3−i3−i300000000000000000−i3i3-110000000000000000000
χ864-4-44-2-24-42222-2-21-44-1-11002-22-22i32i3−2i3−2i3000000000−2i32i32-22-2-1100−i3−i3i3i300000000000000000i3−i3-110000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4004-44-4442002-2-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i20000000000000000000000000000000000000000
χ8988-8-8-4-4004-44-4442002-2-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i20000000000000000000000000000000000000000
χ908-88-8-4800-4-8844-8-4004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4-400-44-4444200-22-200000026−26−26260000000000000000000−666−60000000000000000000000000000000000000000
χ928-88-8-4-400-44-4444200-22-2000000−262626−2600000000000000000006−6−660000000000000000000000000000000000000000
χ938-8-88-4-4-884444-4-4200-2-2200-44-4400000000000000000002-20000000000000000000000000000000000000000000000

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