Finite Group Databasebeta

← Group #11870387

Character table — Group #11870387

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666663446668812121212242424242244666641212121212121212242424242424244444668812122424242412121212122481212121212121224242444648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-1-1-1-1-11111111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111111-1-1-1-1-1-1-1-1111111-111-1-1-1-11111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-111-1-1-1-1-1111-1-111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-111-1-11-11-111-1-1-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-11111111-1-11111-111-1-1-11-11-1-11111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1111-1-1-111-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-11-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-111-1-1-111111111-1-1-1-1-11-1-1-1-1-1-1-111-1-1-111-111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-111-1-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-1-111-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-11-1-11111-11-1-111-1-1-1-11-1-1111-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11-1-111-111-1-1-1111111-111-1-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-111111-1-111111-1-1111-1-1111-1-1-1-1-1-1-111-11-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11111-1-1-111-1-111111-1-111-1-11-111-1-111111-1-11-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-200000020000-22200-2-2000000000000-200000000-2002000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000-200002-2-200-2-2000000000000200000000200-2000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000020000-2220022000000000000-200000000200-2000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000-200002-2-20022000000000000200000000-2002000
χ2122222-122-12-122-1-122-1-1-1222-1-12222200000000222-1-122-1-1-1-1-1-1-1-1200222-1-100000000-1-1-1-1-1202-10000-1-1-1-10000-100
χ2222222-122-12-122-1-122-1-1-1222-1-12222200000000222-1-122-1-1-1-1-1-1-1-1-200-2-2-21100000000-1-1-1-1-1-20-21000011110000100
χ2322222-122-12-122-1-122-1-1-1-2-22-1-12-2-2-2-200000000-222-1-1-2-2-1-1111111200222-1-1000000001-1-111-20-2-10000-1-1110000100
χ2422222-122-12-122-1-122-1-1-1-2-22-1-12-2-2-2-200000000-222-1-1-2-2-1-1111111-200-2-2-211000000001-1-1112021000011-1-10000-100
χ2522222-122-12-122-1-1-2-2-1-1-1222-1-12222200000000-2-2-211-2-2-1-1-1-1-1-1-1-1200-2-22-1-10000000011111-202-1000011-1-10000100
χ2622222-122-12-122-1-1-2-2-1-1-1222-1-12222200000000-2-2-211-2-2-1-1-1-1-1-1-1-1-20022-211000000001111120-210000-1-1110000-100
χ2722222-122-12-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-2000000002-2-21122-1-1111111200-2-22-1-100000000-111-1-120-2-1000011110000-100
χ2822222-122-12-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-2000000002-2-21122-1-1111111-20022-21100000000-111-1-1-20210000-1-1-1-10000100
χ292222-12222-12-1-12-122-1-1-122-122-1-1-1-1-12222-1-1-1-12-1-122-1-1-1-122-1-1-1-10220000022-1-1-1-1-1-12-1-1-1-10200-1-1-1-100000000000
χ302222-12222-12-1-12-122-1-1-122-122-1-1-1-1-1-2-2-2-211112-1-122-1-1-1-122-1-1-1-10-2-200000-2-21111112-1-1-1-10-200111100000000000
χ312222-12222-12-1-12-122-1-1-1-2-2-122-111112222-1-1-1-1-2-1-12211-1-1-2-2111102200000-2-2-1-11111-2-1-1110-200-1-11100000000000
χ322222-12222-12-1-12-122-1-1-1-2-2-122-11111-2-2-2-21111-2-1-12211-1-1-2-211110-2-2000002211-1-1-1-1-2-1-111020011-1-100000000000
χ332222-12222-12-1-12-1-2-2-1-1-122-122-1-1-1-1-12222-1-1-1-1-211-2-211-1-122-1-1-1-10-2-20000022-1-1-1-1-1-1-211110-200111100000000000
χ342222-12222-12-1-12-1-2-2-1-1-122-122-1-1-1-1-1-2-2-2-21111-211-2-211-1-122-1-1-1-102200000-2-2111111-211110200-1-1-1-100000000000
χ352222-12222-12-1-12-1-2-2-1-1-1-2-2-122-111112222-1-1-1-1211-2-2-1-1-1-1-2-211110-2-200000-2-2-1-11111211-1-1020011-1-100000000000
χ362222-12222-12-1-12-1-2-2-1-1-1-2-2-122-11111-2-2-2-21111211-2-2-1-1-1-1-2-21111022000002211-1-1-1-1211-1-10-200-1-11100000000000
χ372-2-22222-2-222-2-2-222i−2i2-2-200-22-2200002-22-222-2-202i−2i2i−2i00-2200000002i−2i00000002-2000002i−2i0000002i−2i0000000000000
χ382-2-22222-2-222-2-2-222i−2i2-2-200-22-220000-22-22-2-22202i−2i2i−2i00-220000000−2i2i0000000-22000002i−2i000000−2i2i0000000000000
χ392-2-22222-2-222-2-2-22−2i2i2-2-200-22-2200002-22-222-2-20−2i2i−2i2i00-220000000−2i2i00000002-200000−2i2i000000−2i2i0000000000000
χ402-2-22222-2-222-2-2-22−2i2i2-2-200-22-220000-22-22-2-2220−2i2i−2i2i00-2200000002i−2i0000000-2200000−2i2i0000002i−2i0000000000000
χ412-2-2222-22-222-2-2-22002-2-2002-22-200002-2-2222-2-200000002-20000000002i−2i00000-22000000000000000002i−2i0002i−2i0000
χ422-2-2222-22-222-2-2-22002-2-2002-22-200002-2-2222-2-200000002-2000000000−2i2i00000-2200000000000000000−2i2i000−2i2i0000
χ432-2-2222-22-222-2-2-22002-2-2002-22-20000-222-2-2-22200000002-20000000002i−2i000002-2000000000000000002i−2i000−2i2i0000
χ442-2-2222-22-222-2-2-22002-2-2002-22-20000-222-2-2-22200000002-2000000000−2i2i000002-200000000000000000−2i2i0002i−2i0000
χ452-2-22-122-2-2-1211-2-12i−2i-1110012-2-1−i3−i3i3i32-22-2-1-1110−ii2i−2i3−31-100−i3−i3i3i302i−2i0000000-11−i3−i3i3i30−ii3−30000−ii3−300000000000
χ462-2-22-122-2-2-1211-2-12i−2i-1110012-2-1−i3−i3i3i3-22-2211-1-10−ii2i−2i3−31-100−i3−i3i3i30−2i2i00000001-1i3i3−i3−i30−ii3−30000i−i−3300000000000
χ472-2-22-122-2-2-1211-2-12i−2i-1110012-2-1i3i3−i3−i32-22-2-1-1110−ii2i−2i−331-100i3i3−i3−i302i−2i0000000-11i3i3−i3−i30−ii−330000−ii−3300000000000
χ482-2-22-122-2-2-1211-2-12i−2i-1110012-2-1i3i3−i3−i3-22-2211-1-10−ii2i−2i−331-100i3i3−i3−i30−2i2i00000001-1−i3−i3i3i30−ii−330000i−i3−300000000000
χ492-2-22-122-2-2-1211-2-1−2i2i-1110012-2-1−i3−i3i3i32-22-2-1-1110i−i−2i2i−331-100−i3−i3i3i30−2i2i0000000-11−i3−i3i3i30i−i−330000i−i−3300000000000
χ502-2-22-122-2-2-1211-2-1−2i2i-1110012-2-1−i3−i3i3i3-22-2211-1-10i−i−2i2i−331-100−i3−i3i3i302i−2i00000001-1i3i3−i3−i30i−i−330000−ii3−300000000000
χ512-2-22-122-2-2-1211-2-1−2i2i-1110012-2-1i3i3−i3−i32-22-2-1-1110i−i−2i2i3−31-100i3i3−i3−i30−2i2i0000000-11i3i3−i3−i30i−i3−30000i−i3−300000000000
χ522-2-22-122-2-2-1211-2-1−2i2i-1110012-2-1i3i3−i3−i3-22-2211-1-10i−i−2i2i3−31-100i3i3−i3−i302i−2i00000001-1−i3−i3i3i30i−i3−30000−ii−3300000000000
χ5344444-2-4-4-24-244-2-200-2-2-200-422-400000000000000000002200000040000-4-2-200000000000000002000000000000000
χ5444444-2-4-4-24-244-2-200-2-2-200-422-4000000000000000000022000000-400004220000000000000000-2000000000000000
χ554444-24-4-44-24-2-24-200-2-2-2002-4-42000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ564444-24-4-44-24-2-24-200-2-2-2002-4-420000-4-44422220000000220000000000000000-2-20000000000000000000000000000
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
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-10000000000000000211-1-10000000000000000000
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
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-2-1-1110000000000000000000
χ6144-4-44400-4-4-44-44400-44-400000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ6244-4-44400-4-4-44-44400-44-4000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ6344-4-4-2400-42-4-224-2002-220000006−66−60000−2i32i3−2i32i3000000000006−66−600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ6444-4-4-2400-42-4-224-2002-220000006−66−600002i3−2i32i3−2i3000000000006−66−6000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ6544-4-4-2400-42-4-224-2002-22000000−66−660000−2i32i3−2i32i300000000000−66−66000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ6644-4-4-2400-42-4-224-2002-22000000−66−6600002i3−2i32i3−2i300000000000−66−6600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ674-44-444004-4-4-44-4400-4-44−2i22i20000−2i22i22i2−2i200000000000000000−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ684-44-444004-4-4-44-4400-4-442i2−2i200002i2−2i2−2i22i2000000000000000002i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ694-44-44-200-2-42-442-20022-2−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i2000000−2i32i3000000000000000000000006−60000000
χ704-44-44-200-2-42-442-20022-2−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i20000002i3−2i300000000000000000000000−660000000
χ714-44-44-200-2-42-442-20022-22i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i2000000−2i32i300000000000000000000000−660000000
χ724-44-44-200-2-42-442-20022-22i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i20000002i3−2i3000000000000000000000006−60000000
χ734-44-4-240042-42-2-4-20022-2−2i22i20000i2−i2−i2i20000−2i32i32i3−2i3000000000−2i22i2i2−i2−i2i20000000000006−6−66000000000000000000000000
χ744-44-4-240042-42-2-4-20022-2−2i22i20000i2−i2−i2i200002i3−2i3−2i32i3000000000−2i22i2i2−i2−i2i2000000000000−666−6000000000000000000000000
χ754-44-4-240042-42-2-4-20022-22i2−2i20000−i2i2i2−i20000−2i32i32i3−2i30000000002i2−2i2−i2i2i2−i2000000000000−666−6000000000000000000000000
χ764-44-4-240042-42-2-4-20022-22i2−2i20000−i2i2i2−i200002i3−2i3−2i32i30000000002i2−2i2−i2i2i2−i20000000000006−6−66000000000000000000000000
χ774-4-444-24-424-2-4-42-24i−4i-22200-4-22400000000000004i−4i−2i2i002-200000000000000000000000−2i2i000000000000000000000
χ784-4-444-24-424-2-4-42-2−4i4i-22200-4-2240000000000000−4i4i2i−2i002-2000000000000000000000002i−2i000000000000000000000
χ794-4-444-2-4424-2-4-42-200-2220042-2-40000000000000000000-220000000004i−4i000000000000000000000000−2i2i000000000
χ804-4-444-2-4424-2-4-42-200-2220042-2-40000000000000000000-22000000000−4i4i0000000000000000000000002i−2i000000000
χ814-4-44-24-44-4-2422-4-200-22200-2-44200004-4-44-2-2220000000-2200000000000000002-20000000000000000000000000000
χ824-4-44-24-44-4-2422-4-200-22200-2-4420000-444-422-2-20000000-220000000000000000-220000000000000000000000000000
χ834-4-44-2-24-42-2-222214i−4i1-1-1002-22-2−2i3−2i32i32i3000000000−2i2i−2i2i23−23-1100i3i3−i3−i300000000000000000i−i−330000000000000000000
χ844-4-44-2-24-42-2-222214i−4i1-1-1002-22-22i32i3−2i3−2i3000000000−2i2i−2i2i−2323-1100−i3−i3i3i300000000000000000i−i3−30000000000000000000
χ854-4-44-2-24-42-2-22221−4i4i1-1-1002-22-2−2i3−2i32i32i30000000002i−2i2i−2i−2323-1100i3i3−i3−i300000000000000000−ii3−30000000000000000000
χ864-4-44-2-24-42-2-22221−4i4i1-1-1002-22-22i32i3−2i3−2i30000000002i−2i2i−2i23−23-1100−i3−i3i3i300000000000000000−ii−330000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-88-4004-848-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400444-44-4200-22-200000026−2626−260000000000000000000−66−660000000000000000000000000000000000000000
χ9088-8-8-4-400444-44-4200-22-2000000−2626−262600000000000000000006−66−60000000000000000000000000000000000000000
χ918-88-8-4-400-4444-44200-2-22−4i24i200002i2−2i2−2i22i2000000000000000002i2−2i2−i2i2i2−i20000000000000000000000000000000000000000
χ928-88-8-4-400-4444-44200-2-224i2−4i20000−2i22i22i2−2i200000000000000000−2i22i2i2−i2−i2i20000000000000000000000000000000000000000
χ938-8-88-4-4-884-4-44442002-2-200-44-4400000000000000000002-20000000000000000000000000000000000000000000000

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