Finite Group Databasebeta

← Group #11776583

Character table — Group #11776583

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222222444444444444444666666888888888888812121212121212121216161616161624242424242424242424242424242424242472727272
order1222334444666666346661212121212121212121222666622666612121212121212444121212121212666666226666888824242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ51111111111111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1
χ9111111-1-1-1-111111111111-1-111-1-1-1-1-1-11111111-111-1-1111-1-1-1-11-1-111-1-1-1-11-111-1-11-111-1-1i−ii−iii−i−iii−i−ii−ii−i
χ10111111-1-1-1-111111111111-1-111-1-1-1-1-1-11111111-111-1-1111-1-1-1-11-1-111-1-1-1-11-111-1-11-111-1-1−ii−ii−i−iii−i−iii−ii−ii
χ11111111-1-1-1-111111111111-1-111-1-1-1-1-1-1111111-11-1-111111-1-1-1-11-1-111-1-1-1-1-11-1-111-11-1-111i−i−iiii−i−i−i−iiii−i−ii
χ12111111-1-1-1-111111111111-1-111-1-1-1-1-1-1111111-11-1-111111-1-1-1-11-1-111-1-1-1-1-11-1-111-11-1-111−iii−i−i−iiiii−i−i−iii−i
χ13111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111-1-1-1-1-111-1-111111-111-1-1-11-1-111i−ii−iii−i−iii−i−i−ii−ii
χ14111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111-1-1-1-1-111-1-111111-111-1-1-11-1-111−ii−ii−i−iii−i−iiii−ii−i
χ15111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-111-1-11111-11-1-1111-111-1-1i−i−iiii−i−i−i−iii−iii−i
χ16111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-111-1-11111-11-1-1111-111-1-1−iii−i−i−iiiii−i−ii−i−ii
χ172222222-22-22222222-22222-2-2-222-2-22-2222222000000-2-2-222-2-2-22-2-2-222-2-20000000000000000000000000000
χ182222222-22-22222222-22222-2-2-222-2-22-2-2-2-2-2-2-2000000-2-2-222-2-22-2222-2-2220000000000000000000000000000
χ19222222-22-222222222-2222-22-2-2-2-222-22222222000000-2-2-2-2-222-2-22-2-2-2-2220000000000000000000000000000
χ20222222-22-222222222-2222-22-2-2-2-222-22-2-2-2-2-2-2000000-2-2-2-2-22222-22222-2-20000000000000000000000000000
χ2122222-12222222-1-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-122-1-1-1-12-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-122-1-1-1-10000000000000000
χ2222222-12222222-1-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-2-211112-1-1-1-1-1-1222-1-1-1-1-1-1-2-21111-2-211110000000000000000
χ2322222-12222222-1-1-1-12-1-1-122-1-1-1-1-1-122-2-2111122-1-1-1-12-1-1-1-1-1-1-2-2-211111122-1-1-1-1-2-211110000000000000000
χ2422222-12222222-1-1-1-12-1-1-122-1-1-1-1-1-122-2-21111-2-211112-1-1-1-1-1-1-2-2-2111111-2-2111122-1-1-1-10000000000000000
χ2522222-12-22-2222-1-1-1-1-2-1-1-12-211-1-1112-222-1-1-1-100−i3i3−i3i3-211-1-111-22-211-1-11100−i3i3−i3i300−i3i3−i3i30000000000000000
χ2622222-12-22-2222-1-1-1-1-2-1-1-12-211-1-1112-222-1-1-1-100i3−i3i3−i3-211-1-111-22-211-1-11100i3−i3i3−i300i3−i3i3−i30000000000000000
χ2722222-12-22-2222-1-1-1-1-2-1-1-12-211-1-1112-2-2-2111100−i3i3−i3i3-211-1-1112-22-1-111-1-100−i3i3−i3i300i3−i3i3−i30000000000000000
χ2822222-12-22-2222-1-1-1-1-2-1-1-12-211-1-1112-2-2-2111100i3−i3i3−i3-211-1-1112-22-1-111-1-100i3−i3i3−i300−i3i3−i3i30000000000000000
χ2922222-1-22-22222-1-1-1-1-2-1-1-1-221111-1-1-2222-1-1-1-100−i3i3i3−i3-21111-1-1-2-221111-1-100−i3i3i3−i300−i3i3i3−i30000000000000000
χ3022222-1-22-22222-1-1-1-1-2-1-1-1-221111-1-1-2222-1-1-1-100i3−i3−i3i3-21111-1-1-2-221111-1-100i3−i3−i3i300i3−i3−i3i30000000000000000
χ3122222-1-22-22222-1-1-1-1-2-1-1-1-221111-1-1-22-2-2111100−i3i3i3−i3-21111-1-122-2-1-1-1-11100−i3i3i3−i300i3−i3−i3i30000000000000000
χ3222222-1-22-22222-1-1-1-1-2-1-1-1-221111-1-1-22-2-2111100i3−i3−i3i3-21111-1-122-2-1-1-1-11100i3−i3−i3i300−i3i3i3−i30000000000000000
χ3322222-1-2-2-2-2222-1-1-1-12-1-1-1-2-2-1-11111-2-222-1-1-1-12-2-1-1112-1-111112-2-2-1-111112-2-1-1112-2-1-1110000000000000000
χ3422222-1-2-2-2-2222-1-1-1-12-1-1-1-2-2-1-11111-2-222-1-1-1-1-2211-1-12-1-111112-2-2-1-11111-2211-1-1-2211-1-10000000000000000
χ3522222-1-2-2-2-2222-1-1-1-12-1-1-1-2-2-1-11111-2-2-2-211112-2-1-1112-1-11111-22211-1-1-1-12-2-1-111-2211-1-10000000000000000
χ3622222-1-2-2-2-2222-1-1-1-12-1-1-1-2-2-1-11111-2-2-2-21111-2211-1-12-1-11111-22211-1-1-1-1-2211-1-12-2-1-1110000000000000000
χ372222-122222-1-1-1222-12-1-1-1-1-1222222-1-1000000222222-1-1-1-1-1-1-1000000000-1-1-1-1-1-10000002222-1-1-1-1-1-1-1-10000
χ382222-122222-1-1-1222-12-1-1-1-1-1222222-1-1000000222222-1-1-1-1-1-1-1000000000-1-1-1-1-1-1000000-2-2-2-2111111110000
χ392222-122222-1-1-1222-12-1-1-1-1-1222222-1-1000000-2-2-2-2-2-2-1-1-1-1-1-1-100000000011111100000022-2-2-1-1-1-111110000
χ402222-122222-1-1-1222-12-1-1-1-1-1222222-1-1000000-2-2-2-2-2-2-1-1-1-1-1-1-1000000000111111000000-2-2221111-1-1-1-10000
χ412222-12-2-2-2-2-1-1-1222-12-1-1-11122-2-2-2-2110000002-222-2-2-1-1-11111000000000-11-1-1110000002i−2i2i−2i−i−iii−i−iii0000
χ422222-12-2-2-2-2-1-1-1222-12-1-1-11122-2-2-2-2110000002-222-2-2-1-1-11111000000000-11-1-111000000−2i2i−2i2iii−i−iii−i−i0000
χ432222-12-2-2-2-2-1-1-1222-12-1-1-11122-2-2-2-211000000-22-2-222-1-1-111110000000001-111-1-10000002i−2i−2i2i−i−iiiii−i−i0000
χ442222-12-2-2-2-2-1-1-1222-12-1-1-11122-2-2-2-211000000-22-2-222-1-1-111110000000001-111-1-1000000−2i2i2i−2iii−i−i−i−iii0000
χ454444-244-44-4-2-2-2444-2-4-2-2-2-22-4-444-4-4-22000000000000222-2-2220000000000000000000000000000000000000
χ464444-24-44-44-2-2-2444-2-4-2-2-22-2-4-4-4-4442-200000000000022222-2-20000000000000000000000000000000000000
χ474444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-200000044-2-2-2-2-2111111000000000-2-211110000000000000000000000
χ484444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000000-4-42222-211111100000000022-1-1-1-10000000000000000000000
χ494444-2-24-44-4-2-2-2-2-2-21-4111-2222-2-222-2200000000−2i32i3−2i32i32-1-111-1-100000000000i3−i3i3−i30000000000000000000000
χ504444-2-24-44-4-2-2-2-2-2-21-4111-2222-2-222-22000000002i3−2i32i3−2i32-1-111-1-100000000000−i3i3−i3i30000000000000000000000
χ514444-2-2-44-44-2-2-2-2-2-21-41112-22222-2-22-200000000−2i32i32i3−2i32-1-1-1-11100000000000i3−i3−i3i30000000000000000000000
χ524444-2-2-44-44-2-2-2-2-2-21-41112-22222-2-22-2000000002i3−2i3−2i32i32-1-1-1-11100000000000−i3i3i3−i30000000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-22222220000004-4-2-222-211-1-1-1-1000000000-2211-1-10000000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-2222222000000-4422-2-2-211-1-1-1-10000000002-2-1-1110000000000000000000000
χ5544-4-44400004-4-44-4-4404-4-400000000004-444-4-400000000000000000000000000000000000000000000000000
χ5644-4-44400004-4-44-4-4404-4-40000000000-44-4-44400000000000000000000000000000000000000000000000000
χ5744-4-44-200004-4-4-222-20-22200−2i32i30000004-4-2-2220000000−2i32i30000000−2i32i300000000000000000000000000000000
χ5844-4-44-200004-4-4-222-20-22200−2i32i3000000-4422-2-20000000−2i32i300000002i3−2i300000000000000000000000000000000
χ5944-4-44-200004-4-4-222-20-222002i3−2i30000004-4-2-22200000002i3−2i300000002i3−2i300000000000000000000000000000000
χ6044-4-44-200004-4-4-222-20-222002i3−2i3000000-4422-2-200000002i3−2i30000000−2i32i300000000000000000000000000000000
χ614-44-444040-4-44-4-44-440-44-40-400004-404000000000000000004-40000000000000000000000000000000000000
χ624-44-4440-404-44-4-44-440-44-4040000-440-400000000000000000-440000000000000000000000000000000000000
χ634-44-44-2040-4-44-42-22-202-220-40000-220400−2i32i3−2i32i300000000000-220000000−2i32i30000000000000000000000000000
χ644-44-44-2040-4-44-42-22-202-220-40000-2204002i3−2i32i3−2i300000000000-2200000002i3−2i30000000000000000000000000000
χ654-44-44-20-404-44-42-22-202-220400002-20-400−2i32i3−2i32i3000000000002-200000002i3−2i30000000000000000000000000000
χ664-44-44-20-404-44-42-22-202-220400002-20-4002i3−2i32i3−2i3000000000002-20000000−2i32i30000000000000000000000000000
χ674-44-4-24040-42-22-44-4-202-220200004-40-200000000000000000-220000000000000000000000000i6−i6i6−i600000000
χ684-44-4-24040-42-22-44-4-202-220200004-40-200000000000000000-220000000000000000000000000−i6i6−i6i600000000
χ694-44-4-240-4042-22-44-4-202-220-20000-4402000000000000000002-200000000000000000000000006−6−6600000000
χ704-44-4-240-4042-22-44-4-202-220-20000-4402000000000000000002-20000000000000000000000000−666−600000000
χ714-4-444440-40-4-44-4-4440-4-44-40004-400400000000000000004-4000000000000000000000000000000000000000
χ724-4-4444-4040-4-44-4-4440-4-444000-4400-40000000000000000-44000000000000000000000000000000000000000
χ734-4-444-240-40-4-4422-2-2022-2-4000-22004000−2i32i32i3−2i3000000000-220000000−2i32i3000000000000000000000000000000
χ744-4-444-240-40-4-4422-2-2022-2-4000-220040002i3−2i3−2i32i3000000000-2200000002i3−2i3000000000000000000000000000000
χ754-4-444-2-4040-4-4422-2-2022-240002-200-4000−2i32i32i3−2i30000000002-200000002i3−2i3000000000000000000000000000000
χ764-4-444-2-4040-4-4422-2-2022-240002-200-40002i3−2i3−2i32i30000000002-20000000−2i32i3000000000000000000000000000000
χ774-4-44-2440-4022-2-4-44-2022-220004-400-20000000000000000-220000000000000000000000000000000i6−i6i6−i60000
χ784-4-44-2440-4022-2-4-44-2022-220004-400-20000000000000000-220000000000000000000000000000000−i6i6−i6i60000
χ794-4-44-24-404022-2-4-44-2022-2-2000-4400200000000000000002-200000000000000000000000000000006−6−660000
χ804-4-44-24-404022-2-4-44-2022-2-2000-4400200000000000000002-20000000000000000000000000000000−666−60000
χ8188-8-8-480000-4448-8-8-40-444000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-40000-444-444202-2-200−4i34i300000000000000000002i3−2i300000000000000000000000000000000000000000
χ8388-8-8-4-40000-444-444202-2-2004i3−4i30000000000000000000−2i32i300000000000000000000000000000000000000000
χ848-88-8-4-4080-84-444-4420-22-2040000-440-4000000000000000002-20000000000000000000000000000000000000
χ858-88-8-4-40-8084-444-4420-22-20-400004-40400000000000000000-220000000000000000000000000000000000000
χ868-8-88-4-480-8044-444-420-2-224000-4400-400000000000000002-2000000000000000000000000000000000000000
χ878-8-88-4-4-808044-444-420-2-22-40004-40040000000000000000-22000000000000000000000000000000000000000

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