Finite Group Databasebeta

← Group #11776296

Character table — Group #11776296

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order122233444466666634666121212121212121212122244446666441212121212121212121212488881212121212121212121212124488121212122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111-1-11-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ9111111-1-1-1-111111111111-111-1-1-1-1-1-1-11111-1-111111-1111-1-111-1-1-1-1-1ii−i−i11-1-1-1-11-111-1-11-1i−i11-1-1ii−i−iii−i−iii−i−ii−i
χ10111111-1-1-1-111111111111-111-1-1-1-1-1-1-11111-1-111111-1111-1-111-1-1-1-1-1−i−iii11-1-1-1-11-111-1-11-1−ii11-1-1−i−iii−i−iii−i−iii−ii
χ11111111-1-1-1-111111111111-111-1-1-1-1-1-1-11111-1-11111-111-1-11111-1-1-1-1-1ii−i−i11-1-1-1-1-11-1-111-11−ii-1-111ii−i−i−i−iiiii−i−i−ii
χ12111111-1-1-1-111111111111-111-1-1-1-1-1-1-11111-1-11111-111-1-11111-1-1-1-1-1−i−iii11-1-1-1-1-11-1-111-11i−i-1-111−i−iiiii−i−i−i−iiii−i
χ13111111-1-1-1-111111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1111-1-111-1-1-1-11ii−i−i-1-111111-111-1-1-11i−i-1-111ii−i−iii−i−i−i−iii−ii
χ14111111-1-1-1-111111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1111-1-111-1-1-1-11−i−iii-1-111111-111-1-1-11−ii-1-111−i−iii−i−iiiii−i−ii−i
χ15111111-1-1-1-111111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11ii−i−i-1-11111-11-1-1111-1−ii11-1-1ii−i−i−i−iii−i−iiii−i
χ16111111-1-1-1-111111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11−i−iii-1-11111-11-1-1111-1i−i11-1-1−i−iiiii−i−iii−i−i−ii
χ172222222-2-222222222-2222-2-2-2-2-2222-2222-2-222222200-20000-2-2-2-222-20000-2-2-2-2220000000000000000000000000000
χ182222222-2-222222222-2222-2-2-2-2-2222-22-2-222-2-2-2-2-2-200-20000-2-2-2-222200002222-2-20000000000000000000000000000
χ19222222-222-22222222-22222-2-222-2-2-22-222-2-2-2-2222200-20000-2-222-2-220000-2-222-2-20000000000000000000000000000
χ20222222-222-22222222-22222-2-222-2-2-22-2-2-22222-2-2-2-200-20000-2-222-2-2-2000022-2-2220000000000000000000000000000
χ2122222-1222222-1-12-1-12-1-1-12-1-1-1-12-1-122222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-122-1-1-1-12200-1-1-1-100000000000000
χ2222222-1222222-1-12-1-12-1-1-12-1-1-1-12-1-122222222-1-1-1-1-2-221111-1-1-1-1-1-120000-1-1-1-1-1-1-2-21111-2-200111100000000000000
χ2322222-1222222-1-12-1-12-1-1-12-1-1-1-12-1-122-2-2-2-2-2-21111222-1-1-1-1-1-1-1-1-1-1-2000011111122-1-1-1-1-2-200111100000000000000
χ2422222-1222222-1-12-1-12-1-1-12-1-1-1-12-1-122-2-2-2-2-2-21111-2-221111-1-1-1-1-1-1-20000111111-2-211112200-1-1-1-100000000000000
χ2522222-12-2-2222-1-12-1-1-2-1-1-1-211112-1-1-2222-2-222-1-1-1-100-2−i3i3−i3i31111-1-1-200001111-1-100−i3i3−i3i30000−i3i3−i3i300000000000000
χ2622222-12-2-2222-1-12-1-1-2-1-1-1-211112-1-1-2222-2-222-1-1-1-100-2i3−i3i3−i31111-1-1-200001111-1-100i3−i3i3−i30000i3−i3i3−i300000000000000
χ2722222-12-2-2222-1-12-1-1-2-1-1-1-211112-1-1-22-2-222-2-2111100-2−i3i3−i3i31111-1-120000-1-1-1-11100−i3i3−i3i30000i3−i3i3−i300000000000000
χ2822222-12-2-2222-1-12-1-1-2-1-1-1-211112-1-1-22-2-222-2-2111100-2i3−i3i3−i31111-1-120000-1-1-1-11100i3−i3i3−i30000−i3i3−i3i300000000000000
χ2922222-1-222-222-1-12-1-1-2-1-1-1211-1-1-2112-222-2-2-2-2-1-1-1-100-2−i3i3i3−i311-1-1112000011-1-11100−i3i3i3−i30000−i3i3i3−i300000000000000
χ3022222-1-222-222-1-12-1-1-2-1-1-1211-1-1-2112-222-2-2-2-2-1-1-1-100-2i3−i3−i3i311-1-1112000011-1-11100i3−i3−i3i30000i3−i3−i3i300000000000000
χ3122222-1-222-222-1-12-1-1-2-1-1-1211-1-1-2112-2-2-22222111100-2−i3i3i3−i311-1-111-20000-1-111-1-100−i3i3i3−i30000i3−i3−i3i300000000000000
χ3222222-1-222-222-1-12-1-1-2-1-1-1211-1-1-2112-2-2-22222111100-2i3−i3−i3i311-1-111-20000-1-111-1-100i3−i3−i3i30000−i3i3i3−i300000000000000
χ3322222-1-2-2-2-222-1-12-1-12-1-1-1-2-1-111-211-2-22222-2-2-1-1-1-12-22-1-111-1-11111-20000-1-111112-2-1-1112-200-1-11100000000000000
χ3422222-1-2-2-2-222-1-12-1-12-1-1-1-2-1-111-211-2-22222-2-2-1-1-1-1-22211-1-1-1-11111-20000-1-11111-2211-1-1-220011-1-100000000000000
χ3522222-1-2-2-2-222-1-12-1-12-1-1-1-2-1-111-211-2-2-2-2-2-22211112-22-1-111-1-111112000011-1-1-1-12-2-1-111-220011-1-100000000000000
χ3622222-1-2-2-2-222-1-12-1-12-1-1-1-2-1-111-211-2-2-2-2-2-2221111-22211-1-1-1-111112000011-1-1-1-1-2211-1-12-200-1-11100000000000000
χ372222-122222-1-122-12-12-1-1-1-12222-122-1-1000000000022-12222-1-1-1-1-1-102222000000-1-1-1-1-1-100220000-1-1-1-1-1-1-1-1000000
χ382222-122222-1-122-12-12-1-1-1-12222-122-1-1000000000022-12222-1-1-1-1-1-10-2-2-2-2000000-1-1-1-1-1-100-2-2000011111111000000
χ392222-122222-1-122-12-12-1-1-1-12222-122-1-10000000000-2-2-1-2-2-2-2-1-1-1-1-1-10222200000011111100-2-20000-1-1-1-11111000000
χ402222-122222-1-122-12-12-1-1-1-12222-122-1-10000000000-2-2-1-2-2-2-2-1-1-1-1-1-10-2-2-2-2000000111111002200001111-1-1-1-1000000
χ412222-12-2-2-2-2-1-122-12-12-1-1-1122-2-21-2-21100000000002-2-122-2-2-1-1111102i2i−2i−2i000000-11-1-111002i−2i0000−i−iii−i−iii000000
χ422222-12-2-2-2-2-1-122-12-12-1-1-1122-2-21-2-21100000000002-2-122-2-2-1-111110−2i−2i2i2i000000-11-1-11100−2i2i0000ii−i−iii−i−i000000
χ432222-12-2-2-2-2-1-122-12-12-1-1-1122-2-21-2-2110000000000-22-1-2-222-1-1111102i2i−2i−2i0000001-111-1-100−2i2i0000−i−iiiii−i−i000000
χ442222-12-2-2-2-2-1-122-12-12-1-1-1122-2-21-2-2110000000000-22-1-2-222-1-111110−2i−2i2i2i0000001-111-1-1002i−2i0000ii−i−i−i−iii000000
χ452-2-2222200-2-2-2-2-22220-2-220000022-20-22-2002-222-2-2000000000002-20−i2i2−i2i200002-200000000000000−i2i2−i2i20000−i2i2−i2i200
χ462-2-2222200-2-2-2-2-22220-2-220000022-20-22-2002-222-2-2000000000002-20i2−i2i2−i200002-200000000000000i2−i2i2−i20000i2−i2i2−i200
χ472-2-2222200-2-2-2-2-22220-2-220000022-20-2-2200-22-2-222000000000002-20−i2i2−i2i20000-2200000000000000−i2i2−i2i20000i2−i2i2−i200
χ482-2-2222200-2-2-2-2-22220-2-220000022-20-2-2200-22-2-222000000000002-20i2−i2i2−i20000-2200000000000000i2−i2i2−i20000−i2i2−i2i200
χ492-2-2222-2002-2-2-2-22220-2-2200000-2-22022-200-2222-2-200000000000-2202−2−220000-22000000000000002−2−2200002−2−2200
χ502-2-2222-2002-2-2-2-22220-2-2200000-2-22022-200-2222-2-200000000000-220−222−20000-2200000000000000−222−20000−222−200
χ512-2-2222-2002-2-2-2-22220-2-2200000-2-2202-22002-2-2-22200000000000-2202−2−2200002-2000000000000002−2−220000−222−200
χ522-2-2222-2002-2-2-2-22220-2-2200000-2-2202-22002-2-2-22200000000000-220−222−200002-200000000000000−222−200002−2−2200
χ534444-244-4-44-2-244-24-2-4-2-2-22-4-4-4-4-2442-2000000000000200002222-2-2000000000000000000000000000000000000000
χ544444-24-444-4-2-244-24-2-4-2-2-2-2-4-4442-4-4-220000000000002000022-2-222000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000000000044-2-2-2-2-211111100000000000-2-211110000000000000000000000
χ564444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000000-4-4-222221111110000000000022-1-1-1-10000000000000000000000
χ574444-2-24-4-44-2-2-2-2-2-21-411122222-2-2-22-20000000000002−2i32i3−2i32i3-1-1-1-1110000000000000i3−i3i3−i30000000000000000000000
χ584444-2-24-4-44-2-2-2-2-2-21-411122222-2-2-22-200000000000022i3−2i32i3−2i3-1-1-1-1110000000000000−i3i3−i3i30000000000000000000000
χ594444-2-2-444-4-2-2-2-2-2-21-4111-222-2-2222-220000000000002−2i32i32i3−2i3-1-111-1-10000000000000i3−i3−i3i30000000000000000000000
χ604444-2-2-444-4-2-2-2-2-2-21-4111-222-2-2222-2200000000000022i3−2i3−2i32i3-1-111-1-10000000000000−i3i3i3−i30000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-2141112-2-2222222200000000004-4-2-2-22211-1-1-1-100000000000-2211-1-10000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-2141112-2-222222220000000000-44-222-2-211-1-1-1-1000000000002-2-1-1110000000000000000000000
χ6344-4-44400004-44-4-4-4404-4-40000000000004-40000000000000000000000004-400000000000000000000000000000000
χ6444-4-44400004-44-4-4-4404-4-4000000000000-44000000000000000000000000-4400000000000000000000000000000000
χ6544-4-44-200004-4-22-42-20-2220−2i32i30000000004-400−2i32i3−2i32i30000000−2i32i3000000000-2200000000000000000000000000000000
χ6644-4-44-200004-4-22-42-20-2220−2i32i3000000000-44002i3−2i32i3−2i30000000−2i32i30000000002-200000000000000000000000000000000
χ6744-4-44-200004-4-22-42-20-22202i3−2i30000000004-4002i3−2i32i3−2i300000002i3−2i3000000000-2200000000000000000000000000000000
χ6844-4-44-200004-4-22-42-20-22202i3−2i3000000000-4400−2i32i3−2i32i300000002i3−2i30000000002-200000000000000000000000000000000
χ694-44-44404-40-44-44-4-440-44-4-4004-40004000000000000000000004-400000000000000000000000000000000000000000
χ704-44-4440-440-44-44-4-440-44-4400-44000-400000000000000000000-4400000000000000000000000000000000000000000
χ714-44-44-204-40-442-2-42-202-22-400-2200040000000−2i32i32i3−2i3000000000-22000000000−2i32i3000000000000000000000000000000
χ724-44-44-204-40-442-2-42-202-22-400-22000400000002i3−2i3−2i32i3000000000-220000000002i3−2i3000000000000000000000000000000
χ734-44-44-20-440-442-2-42-202-224002-2000-40000000−2i32i32i3−2i30000000002-20000000002i3−2i3000000000000000000000000000000
χ744-44-44-20-440-442-2-42-202-224002-2000-400000002i3−2i3−2i32i30000000002-2000000000−2i32i3000000000000000000000000000000
χ754-44-4-2404-402-2-442-4-202-222004-4000-200000000000000000000-2200000000000000000000000000000006−66−6000000
χ764-44-4-2404-402-2-442-4-202-222004-4000-200000000000000000000-220000000000000000000000000000000−66−66000000
χ774-44-4-240-4402-2-442-4-202-22-200-440002000000000000000000002-20000000000000000000000000000000i6−i6−i6i6000000
χ784-44-4-240-4402-2-442-4-202-22-200-440002000000000000000000002-20000000000000000000000000000000−i6i6i6−i6000000
χ794-4-444-2400-4-4-4224-2-2022-2000004-220-44-4004-4-2-22200000000000-22000000000-220000000000000000000000000000
χ804-4-444-2400-4-4-4224-2-2022-2000004-220-4-4400-4422-2-200000000000-220000000002-20000000000000000000000000000
χ814-4-444-2-4004-4-4224-2-2022-200000-42-2044-400-44-2-222000000000002-20000000002-20000000000000000000000000000
χ824-4-444-2-4004-4-4224-2-2022-200000-42-204-44004-422-2-2000000000002-2000000000-220000000000000000000000000000
χ834-4-44-24400-422-4-4-24-2022-200000-24-402000000000000000000000-220−2i22i2−2i22i200000000000000000000i2−i2i2−i20000000000
χ844-4-44-24400-422-4-4-24-2022-200000-24-402000000000000000000000-2202i2−2i22i2−2i200000000000000000000−i2i2−i2i20000000000
χ854-4-44-24-400422-4-4-24-2022-2000002-440-20000000000000000000002-2022−22−222200000000000000000000−222−20000000000
χ864-4-44-24-400422-4-4-24-2022-2000002-440-20000000000000000000002-20−222222−22000000000000000000002−2−220000000000
χ8788-8-8-480000-448-84-8-40-444000000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-40000-44-4444202-2-20−4i34i30000000000000000000000002i3−2i30000000000000000000000000000000000000000000
χ8988-8-8-4-40000-44-4444202-2-204i3−4i3000000000000000000000000−2i32i30000000000000000000000000000000000000000000
χ908-88-8-4-408-804-44-44420-22-2400-44000-4000000000000000000002-200000000000000000000000000000000000000000
χ918-88-8-4-40-8804-44-44420-22-2-4004-4000400000000000000000000-2200000000000000000000000000000000000000000
χ928-8-88-4-4800-84444-4-420-2-2200000-4-44040000000000000000000002-2000000000000000000000000000000000000000
χ938-8-88-4-4-80084444-4-420-2-220000044-40-4000000000000000000000-22000000000000000000000000000000000000000

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