Finite Group Databasebeta

← Group #11776044

Character table — Group #11776044

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222222244444444444448888888888161616161616161618182424242424242424242424242424242424242424242424243636367272
order122233444466666634666121212121212121224121212121212121266661212121244888888882424242424242424242424242424242424424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ311111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1
χ511111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-1
χ611111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111111-1-1
χ711111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-111
χ9111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-111i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-1-1-11
χ10111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-111−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-1-1-11
χ11111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-1111-1
χ12111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-1111-1
χ13111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii1-1-11-1
χ14111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i1-1-11-1
χ15111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-111-11
χ16111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-111-11
χ1722222222-2-22222222-22222222-2-2-2-200-2-222-2-2-2-20000000022000000000000000000000000-22-200
χ1822222222-2-22222222-22222222-2-2-2-200-2-222-2-2-2-200000000-2-20000000000000000000000002-2200
χ19222222-2-2222222222-2222-2-2-2-2222200-2-2-2-222-2-20000000022000000000000000000000000-2-2200
χ20222222-2-2222222222-2222-2-2-2-2222200-2-2-2-222-2-200000000-2-200000000000000000000000022-200
χ2122222-1222222-1-12-1-12-1-1-122-1-122-1-1222-1-1-1-1-1-1-12-1-1-12-1-1-1000000222200000000-1-1-1-1-1-1-1-100000
χ2222222-1222222-1-12-1-12-1-1-122-1-122-1-1222-1-1-1-1-1-1-12-1-1-12-1-1-1000000-2-2-2-2000000001111111100000
χ2322222-1222222-1-12-1-12-1-1-122-1-122-1-1-2-22-1-1-1-1-1-1-1-2111-211100000022-2-200000000-1-1-1-1111100000
χ2422222-1222222-1-12-1-12-1-1-122-1-122-1-1-2-22-1-1-1-1-1-1-1-2111-2111000000-2-222000000001111-1-1-1-100000
χ2522222-1-2-2-2-222-1-12-1-12-1-1-1-2-211-2-2112-22-11111-1-12-1-1-1-21110000002i−2i2i−2i00000000−i−iii−i−iii00000
χ2622222-1-2-2-2-222-1-12-1-12-1-1-1-2-211-2-2112-22-11111-1-12-1-1-1-2111000000−2i2i−2i2i00000000ii−i−iii−i−i00000
χ2722222-1-2-2-2-222-1-12-1-12-1-1-1-2-211-2-211-222-11111-1-1-21112-1-1-10000002i−2i−2i2i00000000−i−iiiii−i−i00000
χ2822222-1-2-2-2-222-1-12-1-12-1-1-1-2-211-2-211-222-11111-1-1-21112-1-1-1000000−2i2i2i−2i00000000ii−i−i−i−iii00000
χ292222-122222-1-122-12-12-1-1-1-1-122-1-12222-12-1-1-1-1-1-1-12-1-1-12-1-10022220000-1-1-1-1-1-1-1-10000000000000
χ302222-122222-1-122-12-12-1-1-1-1-122-1-12222-12-1-1-1-1-1-1-12-1-1-12-1-100-2-2-2-20000111111110000000000000
χ312222-122222-1-122-12-12-1-1-1-1-122-1-122-2-2-12-1-1-1-1-1-11-2111-2110022-2-20000-1-1-1-111110000000000000
χ322222-122222-1-122-12-12-1-1-1-1-122-1-122-2-2-12-1-1-1-1-1-11-2111-21100-2-22200001111-1-1-1-10000000000000
χ332222-12-2-2-2-2-1-122-12-12-1-1-111-2-211-2-22-2-121111-1-1-12-1-11-211002i−2i2i−2i0000−i−iii−i−iii0000000000000
χ342222-12-2-2-2-2-1-122-12-12-1-1-111-2-211-2-22-2-121111-1-1-12-1-11-21100−2i2i−2i2i0000ii−i−iii−i−i0000000000000
χ352222-12-2-2-2-2-1-122-12-12-1-1-111-2-211-2-2-22-121111-1-11-211-12-1-1002i−2i−2i2i0000−i−iiiii−i−i0000000000000
χ362222-12-2-2-2-2-1-122-12-12-1-1-111-2-211-2-2-22-121111-1-11-211-12-1-100−2i2i2i−2i0000ii−i−i−i−iii0000000000000
χ3744444-244-4-444-2-24-2-2-4-2-2-244-2-2-4-42200-42-2-22222000000000000000000000000000000000000000
χ3844444-2-4-44444-2-24-2-2-4-2-2-2-4-42244-2-200-4222-2-222000000000000000000000000000000000000000
χ394444-2444-4-4-2-244-24-2-4-2-2-2-2-24422-4-4002-4-2-22222000000000000000000000000000000000000000
χ404444-24-4-444-2-244-24-2-4-2-2-222-4-4-2-244002-422-2-222000000000000000000000000000000000000000
χ414444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-2111111-2-211-2-2110000000000000000000000000000000
χ424444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-211111122-1-122-1-10000000000000000000000000000000
χ434444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-22222002211-1-1-1-1003-3003-30000000000000000000000000000000
χ444444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-22222002211-1-1-1-100-3300-330000000000000000000000000000000
χ454444-2-2-4-444-2-2-2-2-2-21-41112222-2-2-2-20022-1-111-1-1003-300-330000000000000000000000000000000
χ464444-2-2-4-444-2-2-2-2-2-21-41112222-2-2-2-20022-1-111-1-100-33003-30000000000000000000000000000000
χ474444-2-2-4-4-4-4-2-2-2-2-2-214111222222224-4-2-2-1-1-1-111-2-21122-1-10000000000000000000000000000000
χ484444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-44-2-2-1-1-1-11122-1-1-2-2110000000000000000000000000000000
χ4944-4-444004i−4i4-44-4-4-4404-4-400004i−4i4i−4i0000004i−4i00000000000000000000000000000000000000000
χ5044-4-44400−4i4i4-44-4-4-4404-4-40000−4i4i−4i4i000000−4i4i00000000000000000000000000000000000000000
χ5144-4-44-2004i−4i4-4-22-42-20-22200004i−4i−2i2i000000−2i2i0000000000000000000000000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11000000000
χ5244-4-44-2004i−4i4-4-22-42-20-22200004i−4i−2i2i000000−2i2i0000000000000000000000000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11000000000
χ5344-4-44-200−4i4i4-4-22-42-20-2220000−4i4i2i−2i0000002i−2i0000000000000000000000000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11000000000
χ5444-4-44-200−4i4i4-4-22-42-20-2220000−4i4i2i−2i0000002i−2i0000000000000000000000000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11000000000
χ5544-4-4-24004i−4i-224-42-4-20-2220000−2i2i4i−4i000000−2i2i00000000000000000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100000000000000000
χ5644-4-4-24004i−4i-224-42-4-20-2220000−2i2i4i−4i000000−2i2i00000000000000000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100000000000000000
χ5744-4-4-2400−4i4i-224-42-4-20-22200002i−2i−4i4i0000002i−2i00000000000000000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100000000000000000
χ5844-4-4-2400−4i4i-224-42-4-20-22200002i−2i−4i4i0000002i−2i00000000000000000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100000000000000000
χ594-44-4444i−4i00-44-44-4-440-44-44i−4i4i−4i000000004i−4i0000000000000000000000000000000000000000000
χ604-44-444−4i4i00-44-44-4-440-44-4−4i4i−4i4i00000000−4i4i0000000000000000000000000000000000000000000
χ614-44-44-24i−4i00-442-2-42-202-224i−4i−2i2i00000000−2i2i0000000000000000000000000000000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100000
χ624-44-44-24i−4i00-442-2-42-202-224i−4i−2i2i00000000−2i2i0000000000000000000000000000000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100000
χ634-44-44-2−4i4i00-442-2-42-202-22−4i4i2i−2i000000002i−2i0000000000000000000000000000000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100000
χ644-44-44-2−4i4i00-442-2-42-202-22−4i4i2i−2i000000002i−2i0000000000000000000000000000000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100000
χ654-44-4-244i−4i002-2-442-4-202-22−2i2i4i−4i00000000−2i2i00000000000000000000000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ110000000000000
χ664-44-4-244i−4i002-2-442-4-202-22−2i2i4i−4i00000000−2i2i00000000000000000000000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ110000000000000
χ674-44-4-24−4i4i002-2-442-4-202-222i−2i−4i4i000000002i−2i00000000000000000000000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ110000000000000
χ684-44-4-24−4i4i002-2-442-4-202-222i−2i−4i4i000000002i−2i00000000000000000000000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ110000000000000
χ694-4-44440000-4-4-4-44440-4-44000000000000000000000000004-400000000000000000000000000000
χ704-4-44440000-4-4-4-44440-4-4400000000000000000000000000-4400000000000000000000000000000
χ7188-8-8-4-4008i−8i-44-4444202-2-20000−4i4i−4i4i0000002i−2i00000000000000000000000000000000000000000
χ7288-8-8-4-400−8i8i-44-4444202-2-200004i−4i4i−4i000000−2i2i00000000000000000000000000000000000000000
χ738-88-8-4-48i−8i004-44-44420-22-2−4i4i−4i4i000000002i−2i0000000000000000000000000000000000000000000
χ748-88-8-4-4−8i8i004-44-44420-22-24i−4i4i−4i00000000−2i2i0000000000000000000000000000000000000000000
χ758-8-888-40000-8-8448-4-4044-4000000000000000000000000000000000000000000000000000000000
χ768-8-88-48000044-8-8-48-4044-4000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400004444-4-420-2-2200000000000000006-6000000000000000000000000000000000000000
χ788-8-88-4-400004444-4-420-2-220000000000000000-66000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.