Finite Group Databasebeta

← #25968560

Subgroups — #25968560

Order 11008.

2040 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148384C211yesmaximal, characteristic, complemented
2#19148027C211yesmaximal, characteristic, complemented
3#19145711C211yesmaximal, characteristic, complemented
4#19145704C211yesmaximal, characteristic, complemented
5#19145696C211yesmaximal, characteristic, complemented
6#19145691C211yesmaximal, characteristic, complemented
7#19145677C211yesmaximal, characteristic, complemented
8#19145664C211yesmaximal, characteristic, complemented
9#19145661C211yesmaximal, characteristic, complemented
10#19145636C211yesmaximal, characteristic, complemented
11#19145635C211yesmaximal, characteristic, complemented
12#19145597C211yesmaximal, characteristic, complemented
13#19145593C211yesmaximal, characteristic, complemented
14#19145565C211yesmaximal, characteristic, complemented
15#19145561C211yesmaximal, characteristic, complemented
16#19145549C211yesmaximal, characteristic, complemented
17#19145548C211yesmaximal, characteristic, complemented
18#19145083C211yesmaximal, characteristic, complemented
19#19145070C211yesmaximal, characteristic, complemented
20#19144961C211yesmaximal, characteristic, complemented
21#19144948C211yesmaximal, characteristic, complemented
22#19144086C211yesmaximal, characteristic, complemented
23#19144068C211yesmaximal, characteristic, complemented
24#19144053C211yesmaximal, characteristic, complemented
25#464×D43C211yesmaximal, characteristic, complemented
26#19143911C211yesmaximal, characteristic, complemented
27#19143903C211yesmaximal, characteristic, complemented
28#19143885C211yesmaximal, characteristic, complemented
29#19143869C211yesmaximal, characteristic, complemented
30#19143258C211yesmaximal, characteristic, complemented
31C43×#3223C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#13063371C2211yescharacteristic
34C2×#13063357C2211yescharacteristic
35C2×#13063357C2211yescharacteristic, complemented
36C2×#13063357C2211yescharacteristic, complemented
37C2×#13063352C2211yescharacteristic
38C2×#13063348C2211yescharacteristic
39C2×#13063348C2211yescharacteristic, complemented
40C2×Q16×D43C2211yescharacteristic, complemented
41C2×SD16×D43C2211yescharacteristic
42#14583559—21no—
43#14583559—21no—
44#14583541—21no—
45#14583541—21no—
46#14583541—21no—
47#14583541—21no—
48#14583540—21no—
49#14583540—21no—
50#14583529C2211yescharacteristic, complemented
51#14583521C2211yescharacteristic, complemented
52#14583520C2211yescharacteristic, complemented
53#14583515—21no—
54#14583508—21no—
55#14583507C2211yescharacteristic, complemented
56#14583497—21no—
57#14583490—21no—
58#14583479C2211yescharacteristic
59#14583474C2211yescharacteristic
60#14583474C2211yescharacteristic
61#14583474C2211yescharacteristic, complemented
62#14583472C2211yescharacteristic
63#14583468C2211yescharacteristic
64#14583467C2211yescharacteristic
65#14583467C2211yescharacteristic
66#14583455—21no—
67#14583454C2211yescharacteristic, complemented
68#14583451C2211yescharacteristic, complemented
69#14583450C2211yescharacteristic
70#14583450C2211yescharacteristic
71#14583445C2211yescharacteristic
72#14583435C2211yescharacteristic, complemented
73#14583434—21no—
74#14583434C2211yescharacteristic, complemented
75#14583432—21no—
76#14583432—21no—
77C2×#13063314C2211yescharacteristic
78#124×D43C2211yescharacteristic
79#124×D43C2211yescharacteristic
80C4×#10621902C2211yescharacteristic, complemented
81#14583367C2211yescharacteristic
82C4×Q8×D43C2211yescharacteristic, complemented
83#14583292C2211yescharacteristic, complemented
84#14583292C2211yescharacteristic, complemented
85#14583292C2211yescharacteristic, complemented
86#14583291C2211yescharacteristic, complemented
87#14583291C2211yescharacteristic, complemented
88#14583288C2211yescharacteristic, complemented
89#14583285C2211yescharacteristic, complemented
90#14583284C2211yescharacteristic, complemented
91#14583284C2211yescharacteristic, complemented
92#14583283C2211yescharacteristic, complemented
93#14583281C2211yescharacteristic, complemented
94#14583277C2211yescharacteristic, complemented
95#14583273C2211yescharacteristic, complemented
96#14583270C2211yescharacteristic, complemented
97#14583266C2211yescharacteristic, complemented
98#14583265C2211yescharacteristic, complemented
99#14583262C2211yescharacteristic, complemented
100#14583260C2211yescharacteristic, complemented
101#14583260C2211yescharacteristic, complemented
102#14583259C2211yescharacteristic, complemented
103#14583258C2211yescharacteristic, complemented
104#14583256C2211yescharacteristic, complemented
105#14583255C2211yescharacteristic, complemented
106#14583255C2211yescharacteristic, complemented
107#14583249C2211yescharacteristic, complemented
108#14583248C2211yescharacteristic, complemented
109#14583246C2211yescharacteristic, complemented
110#14583244C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583124C2211yescharacteristic, complemented
113#14583124C2211yescharacteristic, complemented
114#14583123C2211yescharacteristic, complemented
115#14583123C2211yescharacteristic, complemented
116#14583123C2211yescharacteristic, complemented
117#14583123C2211yescharacteristic, complemented
118#14583123C2211yescharacteristic, complemented
119#14583123C2211yescharacteristic, complemented
120#14583122C2211yescharacteristic, complemented
121#14583121C2211yescharacteristic, complemented
122#14583121C2211yescharacteristic, complemented
123#14583120C2211yescharacteristic, complemented
124#14583119C2211yescharacteristic, complemented
125#14583119C2211yescharacteristic, complemented
126#14583118C2211yescharacteristic, complemented
127#14583117C2211yescharacteristic, complemented
128#14583117C2211yescharacteristic, complemented
129#14583117C2211yescharacteristic, complemented
130#14583115C2211yescharacteristic, complemented
131#14583113C2211yescharacteristic, complemented
132#14583111C2211yescharacteristic, complemented
133#14583106C2211yescharacteristic, complemented
134#14583101C2211yescharacteristic, complemented
135#14583100C2211yescharacteristic, complemented
136#14583099C2211yescharacteristic, complemented
137#14583099C2211yescharacteristic, complemented
138#14583095C2211yescharacteristic, complemented
139#14583064C2211yescharacteristic
140#14583064C2211yescharacteristic, complemented
141#14583063C2211yescharacteristic, complemented
142#14583061C2211yescharacteristic
143#14583060C2211yescharacteristic
144#14583060C2211yescharacteristic
145#14583060C2211yescharacteristic, complemented
146#14583060C2211yescharacteristic, complemented
147#14583059C2211yescharacteristic, complemented
148#14583059C2211yescharacteristic, complemented
149#14583056C2211yescharacteristic, complemented
150#14583055C2211yescharacteristic, complemented
151#14583053C2211yescharacteristic, complemented
152#14583053C2211yescharacteristic, complemented
153#14583052C2211yescharacteristic
154#14583051C2211yescharacteristic
155#14583049C2211yescharacteristic
156#14583049C2211yescharacteristic
157#14583048C2211yescharacteristic
158#14583048C2211yescharacteristic
159#14583047C2211yescharacteristic
160#14583047C2211yescharacteristic, complemented
161#14583046C2211yescharacteristic, complemented
162#14583044C2211yescharacteristic
163#14583039C2211yescharacteristic, complemented
164#14583038C2211yescharacteristic, complemented
165#14583035C2211yescharacteristic
166#14583034C2211yescharacteristic
167#14582960C2211yescharacteristic, complemented
168#14582959C2211yescharacteristic, complemented
169#14582959C2211yescharacteristic, complemented
170#14582954C2211yescharacteristic, complemented
171#14582953C2211yescharacteristic, complemented
172#14582950C2211yescharacteristic, complemented
173#14582949C2211yescharacteristic, complemented
174#14582921C2211yescharacteristic, complemented
175C4⋊C8×D43C2211yescharacteristic, complemented
176#14582906C2211yescharacteristic, complemented
177#14582902C2211yescharacteristic
178#14582899C2211yescharacteristic
179#14582899C2211yescharacteristic, complemented
180#14582894C2211yescharacteristic
181#14582894C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582856C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#541C2211yescharacteristic, complemented
189C43×#536C2211yescharacteristic
190C43×#497C2211yescharacteristic, complemented
191C43×#494C2211yescharacteristic, complemented
192C43×#491C2211yescharacteristic, complemented
193C43×#488C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#464C2211yescharacteristic, complemented
196C43×#462C2211yescharacteristic, complemented
197C43×#462C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic
199C43×#452C2211yescharacteristic
200C43×#451C2211yescharacteristic, complemented
201C43×#451C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203#13063373—42no—
204#13063373—42no—
205#13063371—42no—
206#13063371—42no—
207C2×#10621902—21no—
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621902C2311yescharacteristic
211C2×#10621902C2311yescharacteristic
212C2×#10621902C2311yescharacteristic
213C2×#10621898—21no—
214C2×#10621898—21no—
215C2×#10621898—21no—
216C2×#10621898C2311yescharacteristic
217C2×#10621898C2311yescharacteristic
218C2×Q8×D43—21no—
219C2×Q8×D43C2311yescharacteristic
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C22×D172—21no—
223C22×D172C2311yescharacteristic
224C2×D4×D43—21no—
225C2×D4×D43—21no—
226C2×D4×D43C2311yescharacteristic
227C2×D4×D43C2311yescharacteristic
228#13063357—42no—
229#13063357—42no—
230#13063357—42no—
231#13063352—42no—
232#13063348—42no—
233#13063348—42no—
234C2×Dic172C2311yescharacteristic
235C2×#10621885C2311yescharacteristic
236C2×#10621885C2311yescharacteristic
237C2×#10621885C2311yescharacteristic
238C2×#10621885C2311yescharacteristic
239C2×#10621885C2311yescharacteristic
240Q16×D43—42no—
241C2×#10621873C2311yescharacteristic
242C2×#10621873C2311yescharacteristic
243C2×#10621873C2311yescharacteristic
244C2×#10621873C2311yescharacteristic
245C2×#10621883C2311yescharacteristic
246C2×#10621884C2311yescharacteristic
247C2×#10621884C2311yescharacteristic
248C2×#10621884C2311yescharacteristic
249C2×#10621884C2311yescharacteristic
250C2×#10621884C2311yescharacteristic
251C2×#10621884C2311yescharacteristic
252C2×#10621884C2311yescharacteristic
253C2×#10621884C2311yescharacteristic
254C2×#10621884C2311yescharacteristic
255SD16×D43—42no—
256C2×D344C2311yescharacteristic
257C2×D344C2311yescharacteristic
258C2×D344C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260C2×#10621872C2311yescharacteristic
261C2×#10621872C2311yescharacteristic
262C2×C8×D43C2311yescharacteristic
263C2×C8×D43C2311yescharacteristic
264#13063325C2311yescharacteristic
265#13063324—21no—
266#13063324—21no—
267#13063324C2311yescharacteristic
268#13063323C2311yescharacteristic
269#13063323C2311yescharacteristic
270#13063322C2311yescharacteristic
271#13063322C2311yescharacteristic
272#13063321C2311yescharacteristic
273#13063320—21no—
274#13063320—21no—
275#13063320—21no—
276#13063320—21no—
277#13063319—21no—
278#13063319—21no—
279#13063317—21no—
280#13063316—21no—
281#13063316C2311yescharacteristic
282#13063315—21no—
283#13063315—21no—
284#13063315—21no—
285#13063314—21no—
286#13063314—21no—
287#13063314C2311yescharacteristic
288#13063314C2311yescharacteristic
289#13063314C2311yescharacteristic
290#13063314C2311yescharacteristic
291#13063314C2311yescharacteristic
292#13063314C2311yescharacteristic
293#13063313—21no—
294#13063313C2311yescharacteristic
295#13063313C2311yescharacteristic
296#13063313C2311yescharacteristic
297#13063312C2311yescharacteristic
298#13063311—21no—
299#13063311—21no—
300#13063311—21no—
301#13063311—21no—
302#13063311—21no—
303#13063311—21no—
304#13063310—21no—
305#13063310—21no—
306#13063310—21no—
307#13063310—21no—
308#13063310—21no—
309#13063310—21no—
310#13063310—21no—
311#13063310—21no—
312#13063310—21no—
313#13063309—21no—
314#13063307—21no—
315#13063307—21no—
316#13063305—21no—
317#13063305—21no—
318#13063305C2311yescharacteristic
319#13063304C2311yescharacteristic
320#13063303—21no—
321#13063303—21no—
322#13063303—21no—
323#13063303—21no—
324#13063303—21no—
325#13063303—21no—
326#13063303—21no—
327#13063303—21no—
328#13063303—21no—
329#13063303—21no—
330#13063302—21no—
331#13063301C2311yescharacteristic
332#13063301C2311yescharacteristic
333#13063300—21no—
334#13063300—21no—
335#13063300—21no—
336#13063300—21no—
337#13063300—21no—
338#13063300—21no—
339#13063300—21no—
340#13063300C2311yescharacteristic
341#13063299C2311yescharacteristic
342#13063298—21no—
343#13063298—21no—
344#13063298—21no—
345#13063298—21no—
346#13063298—21no—
347#13063298—21no—
348#13063297—21no—
349#13063297—21no—
350#13063295—21no—
351#13063295—21no—
352#13063295—21no—
353#13063295—21no—
354#13063295—21no—
355#13063295—21no—
356Q8×Dic43C2311yescharacteristic
357Q8×Dic43C2311yescharacteristic
358C4×Dic86—21no—
359C4×Dic86C2311yescharacteristic
360#13063290—21no—
361#13063290—21no—
362#13063290—21no—
363#13063290D411yescharacteristic
364#13063290D411yescharacteristic
365#13063290C2311yescharacteristic
366C4×D172—21no—
367C4×D172C2311yescharacteristic
368#13063287—21no—
369#13063287—21no—
370#13063287—21no—
371#13063287—21no—
372#13063287—21no—
373#13063287—21no—
374#13063287D411yescharacteristic
375#13063287D411yescharacteristic
376#13063287C2311yescharacteristic
377C4×C22⋊D43—21no—
378C4×C22⋊D43—21no—
379(C22⋊D43)⋊C4—21no—
380(C22⋊D43)⋊C4D411yescharacteristic
381(C22⋊D43)⋊C4D411yescharacteristic
382(C22⋊D43)⋊C4D411yescharacteristic
383(C22⋊D43)⋊C4D411yescharacteristic
384#13063283—21no—
385#13063283—21no—
386#13063283—21no—
387#13063283—21no—
388#13063283C2311yescharacteristic
389#13063282C2311yescharacteristic
390#13063282C2311yescharacteristic
391#13063281—21no—
392C4⋊C4×D43—21no—
393C4⋊C4×D43C2311yescharacteristic
394C2×(C2×D43)⋊C4—21no—
395C2×(C2×D43)⋊C4—21no—
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C22⋊C4×D43—21no—
399C22⋊C4×D43—21no—
400C2×C4×Dic43C2311yescharacteristic
401C42×D43—21no—
402C42×D43—21no—
403C42×D43C2311yescharacteristic
404C42×D43C2311yescharacteristic
405C4⋊(C43⋊C8)C2311yescharacteristic
406C4⋊(C43⋊C8)C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063236C2311yescharacteristic
442#13063235C2311yescharacteristic
443#13063235C2311yescharacteristic
444C4×C43⋊C8C2311yescharacteristic
445C8×Dic43C2311yescharacteristic
446C8×Dic43C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C22×Q8×C43C2311yescharacteristic
449C2×Q16×C43C2311yescharacteristic
450C2×Q16×C43C2311yescharacteristic
451C2×Q16×C43C2311yescharacteristic
452C2×Q16×C43C2311yescharacteristic
453C2×Q16×C43C2311yescharacteristic
454C2×Q16×C43C2311yescharacteristic
455C2×SD16×C43C2311yescharacteristic
456C2×SD16×C43C2311yescharacteristic
457C4⋊Q8×C43C2311yescharacteristic
458C4⋊Q8×C43C2311yescharacteristic
459C4⋊Q8×C43C2311yescharacteristic
460#126×C43—21no—
461#126×C43—21no—
462#125×C43—21no—
463#125×C43—21no—
464#125×C43C2311yescharacteristic
465#124×C43C2311yescharacteristic
466#124×C43C2311yescharacteristic
467#123×C43—21no—
468#123×C43—21no—
469C22⋊Q8×C43—21no—
470C22⋊Q8×C43—21no—
471C22⋊Q8×C43C2311yescharacteristic
472C22⋊Q8×C43C2311yescharacteristic
473C4×Q8×C43C2311yescharacteristic
474C4×Q8×C43C2311yescharacteristic
475#117×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#103×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488#97×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43—21no—
492C23×D43—21no—
493#41×C43—41no—
494#41×C43—41no—
495C2×Q8×C43—21no—
496C2×Q8×C43—41no—
497C2×Q8×C43—41no—
498C2×Q8×C43C2411yescharacteristic
499C2×Q8×C43C2411yescharacteristic
500C2×Q8×C43C2411yescharacteristic
501C2×Q8×C43C2411yescharacteristic
502C2×Q8×C43C2411yescharacteristic
503C2×D4×C43—21no—
504C2×D4×C43C2411yescharacteristic
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43C2411yescharacteristic
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43C2×D411yescharacteristic
515C2×C22⋊D43C2×D411yescharacteristic
516C22×Dic43C2×D411yescharacteristic
517C22×Dic43C2×D411yescharacteristic
518#10621902—22no—
519#10621902—22no—
520#10621902—22no—
521#10621902—22no—
522#10621902—22no—
523#10621902—22no—
524#10621902—41no—
525#10621902—41no—
526#10621902—41no—
527#10621902—41no—
528#10621902—44no—
529Q8×D43—22no—
530Q8×D43—22no—
531Q8×D43—22no—
532Q8×D43—22no—
533Q8×D43—41no—
534Q8×D43—41no—
535Q8×D43—44no—
536D4×D43—22no—
537D4×D43—22no—
538D4×D43—41no—
539D4×D43—41no—
540D4×D43—44no—
541D4×D43—44no—
542#10621898—22no—
543#10621898—22no—
544#10621898—41no—
545#10621898—41no—
546#10621898—44no—
547#10621898—44no—
548#10621898—44no—
549C2×D172—21no—
550C2×D172—21no—
551C2×D172—21no—
552C2×D172—21no—
553C2×D172—21no—
554C2×D172—21no—
555C2×D172—21no—
556C2×D172—21no—
557C2×D172—21no—
558C2×D172—21no—
559C2×D172—21no—
560C2×D172—41no—
561C2×D172—41no—
562C2×D172—44no—
563C2×D172C2×D411yescharacteristic
564C2×D172C2411yescharacteristic
565C2×D172C2411yescharacteristic
566C2×D172C2411yescharacteristic
567C2×D172C2411yescharacteristic
568C2×C4×D43—21no—
569C2×C4×D43—21no—
570C2×C4×D43—21no—
571C2×C4×D43—21no—
572C2×C4×D43—21no—
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—21no—
577C2×C4×D43—21no—
578C2×C4×D43—21no—
579C2×C4×D43—21no—
580C2×C4×D43C2×D411yescharacteristic
581C2×C4×D43C2×D411yescharacteristic
582C2×C4×D43C2×D411yescharacteristic
583C2×C4×D43C2×D411yescharacteristic
584C2×C4×D43C2411yescharacteristic
585C2×C4×D43C2411yescharacteristic
586C2×Dic86—21no—
587C2×Dic86—21no—
588C2×Dic86—21no—
589C2×Dic86—21no—
590C2×Dic86—21no—
591C2×Dic86C2×D411yescharacteristic
592C2×Dic86C2411yescharacteristic
593C2×Dic86C2411yescharacteristic
594Q16×C43—41no—
595Q16×C43—41no—
596Q16×C43—41no—
597Q16×C43—41no—
598Q16×C43—41no—
599Q16×C43—41no—
600SD16×C43—41no—
601SD16×C43—41no—
602C2×C8×C43C2411yescharacteristic
603C2×C8×C43C2411yescharacteristic
604C2×C8×C43C2411yescharacteristic
605C2×C8×C43C2411yescharacteristic
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43—21no—
610C4⋊C4×C43—21no—
611C4⋊C4×C43—21no—
612C4⋊C4×C43—21no—
613C4⋊C4×C43—21no—
614C4⋊C4×C43—21no—
615C4⋊C4×C43—21no—
616C4⋊C4×C43—21no—
617C4⋊C4×C43—21no—
618C4⋊C4×C43C2×D411yescharacteristic
619C4⋊C4×C43C2×D411yescharacteristic
620C4⋊C4×C43C2411yescharacteristic
621C4⋊C4×C43C2411yescharacteristic
622C22⋊C4×C43—21no—
623C22⋊C4×C43—21no—
624C22⋊C4×C43—21no—
625C22⋊C4×C43—21no—
626C22⋊C4×C43—21no—
627C22⋊C4×C43—21no—
628C22⋊C4×C43C2×D411yescharacteristic
629C22⋊C4×C43C2×D411yescharacteristic
630C42×C43—21no—
631C42×C43—21no—
632C42×C43C2411yescharacteristic
633C42×C43C2411yescharacteristic
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637#10621885—41no—
638#10621885—41no—
639#10621885—41no—
640#10621885—41no—
641#10621885—41no—
642#10621884—41no—
643#10621884—41no—
644#10621884—41no—
645#10621884—41no—
646#10621884—41no—
647#10621884—41no—
648#10621884—41no—
649#10621884—41no—
650#10621884—41no—
651#10621883—41no—
652#10621882—41no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4—21no—
674(C2×D43)⋊C4—21no—
675(C2×D43)⋊C4—21no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4—21no—
678(C2×D43)⋊C4—21no—
679(C2×D43)⋊C4C2×D411yescharacteristic
680(C2×D43)⋊C4C2×D411yescharacteristic
681(C2×D43)⋊C4C2×D411yescharacteristic
682(C2×D43)⋊C4C2×D411yescharacteristic
683C4⋊Dic43—21no—
684C4⋊Dic43—21no—
685C4⋊Dic43—21no—
686C4⋊Dic43—21no—
687C4⋊Dic43—21no—
688C4⋊Dic43C2411yescharacteristic
689C4⋊Dic43C2411yescharacteristic
690Dic43⋊C4—21no—
691Dic43⋊C4—21no—
692Dic43⋊C4—21no—
693Dic43⋊C4—21no—
694Dic43⋊C4—21no—
695Dic43⋊C4—21no—
696Dic43⋊C4—21no—
697Dic43⋊C4—21no—
698Dic43⋊C4—21no—
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4C2×D411yescharacteristic
703Dic43⋊C4C2×D411yescharacteristic
704Dic43⋊C4C2×D411yescharacteristic
705Dic43⋊C4C2×D411yescharacteristic
706C4×Dic43—21no—
707C4×Dic43—21no—
708C4×Dic43—21no—
709C4×Dic43—21no—
710C4×Dic43—21no—
711C4×Dic43C2×D411yescharacteristic
712C4×Dic43C2×D411yescharacteristic
713C4×Dic43C2×D411yescharacteristic
714C4×Dic43C2×D411yescharacteristic
715C4×Dic43C2×D411yescharacteristic
716C4×Dic43C2×D411yescharacteristic
717C4×Dic43C2411yescharacteristic
718C4×Dic43C2411yescharacteristic
719C2×C43⋊C8C2411yescharacteristic
720C2×C43⋊C8C2411yescharacteristic
721C2×C43⋊C8C2411yescharacteristic
722C2×C43⋊C8C2411yescharacteristic
723Dic172—41no—
724D344—41no—
725D344—41no—
726D344—41no—
727#10621873—41no—
728#10621873—41no—
729#10621873—41no—
730#10621873—41no—
731#10621872—22no—
732#10621872—22no—
733C8×D43—22no—
734C8×D43—22no—
735C23×C43—21no—
736C23×C43C22×D411yescharacteristic
737C22×D43—21no—
738C22×D43—21no—
739C22×D43—21no—
740C22×D43—21no—
741C22×D43—42no—
742C22×D43—42no—
743C22×D43—42no—
744C22×D43—81no—
745C22×D43—81no—
746C22×D43—81no—
747C22×D43—81no—
748C22×D43—81no—
749C22×D43—81no—
750C22×D43C22×D411yescharacteristic
751C22×D43C22×D411yescharacteristic
752Q8×C43—21no—
753Q8×C43—21no—
754Q8×C43—21no—
755Q8×C43—21no—
756Q8×C43—21no—
757Q8×C43—21no—
758Q8×C43—21no—
759Q8×C43—21no—
760Q8×C43—21no—
761Q8×C43—21no—
762Q8×C43—42no—
763D4×C43—21no—
764D4×C43—21no—
765D4×C43—42no—
766C2×C4×C43—21no—
767C2×C4×C43—21no—
768C2×C4×C43—21no—
769C2×C4×C43—21no—
770C2×C4×C43—21no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—42no—
776C2×C4×C43—42no—
777C2×C4×C43C22×D411yescharacteristic
778C2×C4×C43C22×D411yescharacteristic
779C2×C4×C43C22×D411yescharacteristic
780C2×C4×C43C22×D411yescharacteristic
781C2×C4×C43C22×D411yescharacteristic
782C2×C4×C43C2511yescharacteristic
783C22⋊D43—22no—
784C22⋊D43—22no—
785C22⋊D43—42no—
786C22⋊D43—42no—
787C22⋊D43—42no—
788C22⋊D43—81no—
789C22⋊D43—81no—
790C22⋊D43—81no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—41no—
796C2×Dic43—41no—
797C2×Dic43C22×D411yescharacteristic
798C2×Dic43C22×D411yescharacteristic
799C2×Dic43C22×D411yescharacteristic
800C2×Dic43C22×D411yescharacteristic
801C2×Dic43C22×D411yescharacteristic
802C2×Dic43C22×D411yescharacteristic
803D172—22no—
804D172—21no—
805D172—21no—
806D172—21no—
807D172—21no—
808D172—21no—
809D172—21no—
810D172—21no—
811D172—21no—
812D172—42no—
813D172—42no—
814D172—42no—
815D172—42no—
816D172—42no—
817D172—42no—
818D172—81no—
819D172—81no—
820D172—81no—
821D172—81no—
822D172—81no—
823C4×D43—21no—
824C4×D43—21no—
825C4×D43—41no—
826C4×D43—41no—
827C4×D43—41no—
828C4×D43—41no—
829C4×D43—42no—
830C4×D43—42no—
831C4×D43—42no—
832C4×D43—42no—
833C4×D43—42no—
834C4×D43—42no—
835C4×D43—42no—
836C4×D43—42no—
837C4×D43—42no—
838C4×D43—42no—
839C4×D43—81no—
840C4×D43—81no—
841C4×D43H(5,𝔽2)12yes—
842C4×D43H(5,𝔽2)12yes—
843Dic86—22no—
844Dic86—21no—
845Dic86—21no—
846Dic86—21no—
847Dic86—21no—
848Dic86—42no—
849Dic86—42no—
850Dic86—42no—
851Dic86—81no—
852Dic86—81no—
853C8×C43—21no—
854C8×C43—21no—
855C8×C43—21no—
856C8×C43—21no—
857C43⋊C8—21no—
858C43⋊C8—21no—
859C43⋊C8—21no—
860C43⋊C8—21no—
861#60835—431nomaximal, Sylow
862C22×C43—21no—
863C22×C43—21no—
864C22×C43—21no—
865C22×C43—41no—
866C22×C43—41no—
867C22×C43—41no—
868C22×C43C23×D411yescharacteristic
869C2×D43—21no—
870C2×D43—21no—
871C2×D43—21no—
872C2×D43—21no—
873C2×D43—21no—
874C2×D43—41no—
875C2×D43—41no—
876C2×D43—41no—
877C2×D43—41no—
878C2×D43—41no—
879C2×D43—41no—
880C2×D43—41no—
881C2×D43—41no—
882C2×D43—41no—
883C2×D43—41no—
884C2×D43—41no—
885C2×D43—41no—
886C2×D43—162no—
887C2×D43—162no—
888C2×D43—162no—
889C2×D43#53512yes—
890C4×C43—21no—
891C4×C43—21no—
892C4×C43—21no—
893C4×C43—21no—
894C4×C43—21no—
895C4×C43—41no—
896C4×C43—41no—
897C4×C43—41no—
898C4×C43—41no—
899C4×C43—41no—
900C4×C43—41no—
901C4×C43—41no—
902C4×C43C2×H(5,𝔽2)11yescharacteristic
903C4×C43C2×H(5,𝔽2)11yescharacteristic
904Dic43—21no—
905Dic43—21no—
906Dic43—21no—
907Dic43—21no—
908Dic43—21no—
909Dic43—41no—
910Dic43—41no—
911Dic43—41no—
912Dic43—41no—
913Dic43#53512yes—
914#3500—431no—
915#3461—431no—
916#3225—431no—
917#3225—431no—
918#3224—431no—
919#3224—431no—
920#3223—431no—
921#3223D4311yescharacteristic, complemented
922#3222—431no—
923#3222—431no—
924#3219—431no—
925#3219—431no—
926#3215—431no—
927#3215—431no—
928#3211—431no—
929#3211—431no—
930#3210—431no—
931#3210—431no—
932#3156—431no—
933#3154—431no—
934#3137—431no—
935#3136—431no—
936#3040—431no—
937#3037—431no—
938#3035—431no—
939C2×#464—431no—
940#3013—431no—
941#3012—431no—
942#3011—431no—
943#3009—431no—
944#2925—431no—
945C2×C43—41no—
946C2×C43—81no—
947C2×C43C2×#53511yescharacteristic
948C2×C43#358411yescharacteristic
949C2×C43#358611yescharacteristic
950D43—22no—
951D43—41no—
952D43—81no—
953D43—81no—
954D43—81no—
955D43—81no—
956C2×2−1+4—431no—
957C2×H(5,𝔽2)—431no—
958C2×#137—431no—
959C2×#137—431no—
960C2×#137—431no—
961C2×AGL(1,ℤ/8)—431no—
962C2×#135—431no—
963C2×#135—431no—
964C22×Q16—431no—
965C22×SD16—431no—
966#548—861no—
967#548—861no—
968#546—861no—
969#546—861no—
970#546—861no—
971#546—861no—
972#546—861no—
973#546—861no—
974#544—431no—
975#542—431no—
976#542—431no—
977#542—861no—
978#541—431no—
979#541—861no—
980#541C2×D4311yescharacteristic, complemented
981#539—861no—
982#539—861no—
983#537—431no—
984#536—431no—
985#536—431no—
986#536—431no—
987#536—431no—
988#536C2×D4311yescharacteristic
989#535—431no—
990#535—431no—
991#535—431no—
992#533—431no—
993#533—431no—
994#533—861no—
995#532—431no—
996#532—431no—
997#532—431no—
998#529—431no—
999#529—431no—
1000#529—861no—
1001#529—861no—
1002#529—861no—
1003C2×#124—431no—
1004C2×#124—431no—
1005C2×#124—431no—
1006C4×#41—431no—
1007C4×#41—431no—
1008C2×C4×Q8—431no—
1009#497—431no—
1010#497—431no—
1011#497—431no—
1012#497—431no—
1013#497—431no—
1014#497C2×D4311yescharacteristic, complemented
1015#496—431no—
1016#496—431no—
1017#495—431no—
1018#495—431no—
1019#495—431no—
1020#495—431no—
1021#494—431no—
1022#494C2×D4311yescharacteristic, complemented
1023#492—431no—
1024#492—431no—
1025#491—431no—
1026#491C2×D4311yescharacteristic, complemented
1027#490—431no—
1028#490—431no—
1029#489—431no—
1030#489—431no—
1031#489—431no—
1032#489—431no—
1033#488—431no—
1034#488—431no—
1035#488—431no—
1036#488C2×D4311yescharacteristic, complemented
1037#487—431no—
1038#487—431no—
1039#486—431no—
1040#486—431no—
1041#464—431no—
1042#464—431no—
1043#464—431no—
1044#464—431no—
1045#464—431no—
1046#464—431no—
1047#464—431no—
1048#464—431no—
1049#464—431no—
1050#464—431no—
1051#464—431no—
1052#464—431no—
1053#464—431no—
1054#464—431no—
1055#464—431no—
1056#464—431no—
1057#464C2×D4311yescharacteristic, complemented
1058#464C2×D4311yescharacteristic, complemented
1059#463—431no—
1060#463—431no—
1061#463—431no—
1062#463—431no—
1063#463—431no—
1064#463—431no—
1065#462—431no—
1066#462C2×D4311yescharacteristic, complemented
1067#462C2×D4311yescharacteristic, complemented
1068#461—431no—
1069#460—431no—
1070#460—431no—
1071#460—431no—
1072#459—431no—
1073#452—431no—
1074#452—431no—
1075#452—431no—
1076#452—431no—
1077#452—431no—
1078#452—431no—
1079#452—431no—
1080#452—431no—
1081#452—431no—
1082#452—431no—
1083#452C2×D4311yescharacteristic
1084#452C2×D4311yescharacteristic
1085#451—431no—
1086#451—431no—
1087#451—431no—
1088#451—431no—
1089#451C2×D4311yescharacteristic, complemented
1090#451C2×D4311yescharacteristic, complemented
1091#450—431no—
1092#450—431no—
1093#450—431no—
1094#450—431no—
1095#450—431no—
1096#450—431no—
1097#449—431no—
1098#449—431no—
1099#449—431no—
1100#449—431no—
1101#448—431no—
1102#448—431no—
1103#447—431no—
1104#447—431no—
1105#433—431no—
1106#433—431no—
1107#433—431no—
1108#433C2×D4311yescharacteristic, complemented
1109#432—431no—
1110#432—431no—
1111#431—431no—
1112#431—431no—
1113#423—431no—
1114C2×C4⋊C8—431no—
1115#419—431no—
1116#418—431no—
1117#417—431no—
1118#417—431no—
1119#416—431no—
1120#416—431no—
1121C2×#103—431no—
1122C2×#102—431no—
1123#408—431no—
1124#408—431no—
1125#405—431no—
1126#405—431no—
1127C43#6083511yescharacteristic, complemented, Sylow
11282−1+4—1722no—
11292−1+4—1722no—
1130H(5,𝔽2)—1722no—
1131H(5,𝔽2)—1722no—
1132C2×#41—431no—
1133C2×#41—431no—
1134C2×#41—431no—
1135C2×#41—431no—
1136C2×#41—431no—
1137C2×#41—431no—
1138C2×#41—431no—
1139C2×#41—861no—
1140C2×#41—861no—
1141C2×#41—861no—
1142C2×#41—861no—
1143C2×#41C22×D4311yescharacteristic
1144C22×Q8—431no—
1145C22×Q8—431no—
1146C22×Q8—431no—
1147C22×Q8—861no—
1148C22×Q8C22×D4311yescharacteristic
1149C22×D4—431no—
1150C22×D4—431no—
1151C22×D4—431no—
1152C22×D4—861no—
1153C22×D4—861no—
1154C22×D4—861no—
1155#137—1722no—
1156#137—1722no—
1157#137—1722no—
1158AGL(1,ℤ/8)—1722no—
1159#135—1722no—
1160#135—1722no—
1161C2×Q16—431no—
1162C2×Q16—431no—
1163C2×Q16—431no—
1164C2×Q16—431no—
1165C2×Q16—431no—
1166C2×Q16—431no—
1167C2×Q16—1722no—
1168C2×Q16C22×D4311yescharacteristic
1169C2×Q16C22×D4311yescharacteristic
1170C2×Q16C22×D4311yescharacteristic
1171C2×Q16C22×D4311yescharacteristic
1172C2×Q16C22×D4311yescharacteristic
1173C2×Q16C22×D4311yescharacteristic
1174C2×SD16—431no—
1175C2×SD16—431no—
1176C2×SD16—431no—
1177C2×SD16—431no—
1178C2×SD16—431no—
1179C2×SD16—431no—
1180C2×SD16—431no—
1181C2×SD16—431no—
1182C2×SD16—431no—
1183C2×SD16—431no—
1184C2×SD16—431no—
1185C2×SD16—431no—
1186C2×SD16—431no—
1187C2×SD16—431no—
1188C2×SD16—1722no—
1189C2×SD16C22×D4311yescharacteristic
1190C2×SD16C22×D4311yescharacteristic
1191C2×D8—431no—
1192C2×D8—431no—
1193C2×D8—431no—
1194C2×D8—431no—
1195C2×M16—431no—
1196C2×M16—431no—
1197C22×C8—431no—
1198C22×C8—431no—
1199C4⋊Q8—431no—
1200C4⋊Q8—431no—
1201C4⋊Q8—431no—
1202C4⋊Q8—431no—
1203C4⋊Q8—861no—
1204C4⋊Q8—861no—
1205C4⋊Q8C22×D4311yescharacteristic
1206C4⋊Q8C22×D4311yescharacteristic
1207C4⋊Q8C22×D4311yescharacteristic
1208#127—431no—
1209#127—431no—
1210#127—431no—
1211#126—21no—
1212#126—21no—
1213#126—861no—
1214#126—861no—
1215#126—861no—
1216#126—861no—
1217#126—861no—
1218#126—861no—
1219#125—21no—
1220#125—21no—
1221#125—431no—
1222#125—861no—
1223#125—861no—
1224#125—861no—
1225#125—861no—
1226#125—861no—
1227#125C22×D4311yescharacteristic
1228#124—431no—
1229#124—431no—
1230#124—431no—
1231#124—431no—
1232#124—431no—
1233#124—431no—
1234#124—431no—
1235#124—431no—
1236#124—431no—
1237#124—431no—
1238#124—861no—
1239#124—861no—
1240#124—861no—
1241#124—861no—
1242#124—861no—
1243#124—861no—
1244#124—861no—
1245#124—861no—
1246#124—861no—
1247#124C22×D4311yescharacteristic
1248#124C22×D4311yescharacteristic
1249#123—21no—
1250#123—21no—
1251#123—861no—
1252#123—861no—
1253#123—861no—
1254#123—861no—
1255#123—861no—
1256#123—861no—
1257#123—861no—
1258#123—861no—
1259#123—861no—
1260#123—861no—
1261#123—861no—
1262#123—861no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—431no—
1266C22⋊Q8—431no—
1267C22⋊Q8—431no—
1268C22⋊Q8—431no—
1269C22⋊Q8—861no—
1270C22⋊Q8—861no—
1271C22⋊Q8—861no—
1272C22⋊Q8—861no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8—861no—
1277C22⋊Q8—861no—
1278C22⋊Q8—861no—
1279C22⋊Q8—861no—
1280C22⋊Q8—861no—
1281C22⋊Q8—861no—
1282C22⋊Q8C22×D4311yescharacteristic
1283C22⋊Q8C22×D4311yescharacteristic
1284#121—431no—
1285#121—431no—
1286#121—861no—
1287#121—861no—
1288#121—861no—
1289#121—861no—
1290#121—861no—
1291#121—861no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#120—861no—
1302#120—861no—
1303#120—861no—
1304#120—861no—
1305#120—861no—
1306#120—861no—
1307C4×Q8—431no—
1308C4×Q8—431no—
1309C4×Q8—431no—
1310C4×Q8—431no—
1311C4×Q8—431no—
1312C4×Q8—431no—
1313C4×Q8—861no—
1314C4×Q8—861no—
1315C4×Q8—861no—
1316C4×Q8—861no—
1317C4×Q8C22×D4311yescharacteristic
1318C4×Q8C22×D4311yescharacteristic
1319C4×D4—431no—
1320C4×D4—431no—
1321C4×D4—431no—
1322C4×D4—431no—
1323C4×D4—431no—
1324C4×D4—431no—
1325C4×D4—431no—
1326C4×D4—431no—
1327C4×D4—861no—
1328C4×D4—861no—
1329C4×D4—861no—
1330C4×D4—861no—
1331C4×D4—861no—
1332C4×D4—861no—
1333C4×D4—861no—
1334C4×D4—861no—
1335C4×D4—861no—
1336C4×D4—861no—
1337#117—431no—
1338#117—431no—
1339#117—431no—
1340#117—861no—
1341#117—861no—
1342#117—861no—
1343#117—861no—
1344#117—861no—
1345#117C22×D4311yescharacteristic
1346C2×C4⋊C4—431no—
1347C2×C4⋊C4—861no—
1348C2×C22⋊C4—861no—
1349C2×C22⋊C4—861no—
1350C2×C22⋊C4—861no—
1351C2×C22⋊C4—861no—
1352C2×C22⋊C4—861no—
1353C2×C22⋊C4—861no—
1354C2×C42—431no—
1355C2×C42—431no—
1356C2×C42—431no—
1357C2×C42—861no—
1358C2×C42—861no—
1359C4⋊C8—431no—
1360C4⋊C8—431no—
1361C4⋊C8—431no—
1362C4⋊C8—431no—
1363C4⋊C8—431no—
1364C4⋊C8—431no—
1365C4⋊C8C22×D4311yescharacteristic
1366C4⋊C8C22×D4311yescharacteristic
1367#103—431no—
1368#103—431no—
1369#103—431no—
1370#103—431no—
1371#103—431no—
1372#103—431no—
1373#103—431no—
1374#103—431no—
1375#103—431no—
1376#103—431no—
1377#103C22×D4311yescharacteristic
1378#103C22×D4311yescharacteristic
1379#103C22×D4311yescharacteristic
1380#103C22×D4311yescharacteristic
1381#103C22×D4311yescharacteristic
1382#103C22×D4311yescharacteristic
1383#102—431no—
1384#102—431no—
1385#102—431no—
1386#102—431no—
1387#102—431no—
1388#102—431no—
1389#102—431no—
1390#102—431no—
1391#102—431no—
1392#102—431no—
1393#102—431no—
1394#102—431no—
1395#102—431no—
1396#102—431no—
1397#102C22×D4311yescharacteristic
1398#102C22×D4311yescharacteristic
1399C22⋊C8—431no—
1400C22⋊C8—431no—
1401C22⋊C8—431no—
1402C22⋊C8—431no—
1403C22⋊C8—431no—
1404C22⋊C8—431no—
1405C22⋊C8C22×D4311yescharacteristic
1406C22⋊C8C22×D4311yescharacteristic
1407#97—431no—
1408#97—431no—
1409#97—431no—
1410#97C22×D4311yescharacteristic
1411C4×C8—431no—
1412C4×C8—431no—
1413C4×C8—431no—
1414C4×C8C22×D4311yescharacteristic
1415C24—861no—
1416C24—861no—
1417C24—861no—
1418#41—41no—
1419#41—41no—
1420#41—862no—
1421#41—862no—
1422#41—862no—
1423#41—862no—
1424#41—862no—
1425#41—862no—
1426#41—862no—
1427#41—862no—
1428#41—1721no—
1429#41—1721no—
1430#41—1724no—
1431#41—1724no—
1432#41—1724no—
1433#41—1721no—
1434#41—1721no—
1435#41—1721no—
1436#41—1721no—
1437#41—1724no—
1438C2×Q8—21no—
1439C2×Q8—41no—
1440C2×Q8—41no—
1441C2×Q8—431no—
1442C2×Q8—431no—
1443C2×Q8—431no—
1444C2×Q8—861no—
1445C2×Q8—861no—
1446C2×Q8—861no—
1447C2×Q8—861no—
1448C2×Q8—862no—
1449C2×Q8—862no—
1450C2×Q8—862no—
1451C2×Q8—862no—
1452C2×Q8—861no—
1453C2×Q8—1721no—
1454C2×Q8—1721no—
1455C2×Q8—1724no—
1456C2×Q8C23×D4311yescharacteristic
1457C2×Q8C23×D4311yescharacteristic
1458C2×Q8C23×D4311yescharacteristic
1459C2×Q8C23×D4311yescharacteristic
1460C2×Q8C23×D4311yescharacteristic
1461C2×D4—21no—
1462C2×D4—431no—
1463C2×D4—431no—
1464C2×D4—431no—
1465C2×D4—431no—
1466C2×D4—431no—
1467C2×D4—431no—
1468C2×D4—431no—
1469C2×D4—861no—
1470C2×D4—861no—
1471C2×D4—861no—
1472C2×D4—861no—
1473C2×D4—861no—
1474C2×D4—861no—
1475C2×D4—862no—
1476C2×D4—862no—
1477C2×D4—861no—
1478C2×D4—861no—
1479C2×D4—861no—
1480C2×D4—861no—
1481C2×D4—861no—
1482C2×D4—861no—
1483C2×D4—861no—
1484C2×D4—861no—
1485C2×D4—861no—
1486C2×D4—861no—
1487C2×D4—861no—
1488C2×D4—1721no—
1489C2×D4—1721no—
1490C2×D4—1724no—
1491C2×D4—1721no—
1492C2×D4—1721no—
1493C2×D4—1724no—
1494C2×D4—1724no—
1495C2×D4C23×D4311yescharacteristic
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—431no—
1499C22×C4—431no—
1500C22×C4—431no—
1501C22×C4—431no—
1502C22×C4—431no—
1503C22×C4—431no—
1504C22×C4—431no—
1505C22×C4—431no—
1506C22×C4—861no—
1507C22×C4—861no—
1508C22×C4—861no—
1509C22×C4—861no—
1510C22×C4—861no—
1511C22×C4—861no—
1512C22×C4—861no—
1513C22×C4—861no—
1514C22×C4—861no—
1515C22×C4—861no—
1516C22×C4—861no—
1517C22×C4—861no—
1518C22×C4C23×D4311yescharacteristic
1519Q16—41no—
1520Q16—41no—
1521Q16—41no—
1522Q16—41no—
1523Q16—41no—
1524Q16—41no—
1525Q16—1721no—
1526Q16—1721no—
1527Q16—1721no—
1528Q16—1721no—
1529Q16—1721no—
1530Q16—1721no—
1531SD16—41no—
1532SD16—41no—
1533SD16—1721no—
1534SD16—1721no—
1535SD16—1721no—
1536SD16—1721no—
1537SD16—1721no—
1538SD16—1721no—
1539SD16—1721no—
1540SD16—1721no—
1541SD16—1721no—
1542SD16—1721no—
1543SD16—1721no—
1544SD16—1721no—
1545SD16—1721no—
1546SD16—1721no—
1547D8—1721no—
1548D8—1721no—
1549D8—1721no—
1550D8—1721no—
1551M16—862no—
1552M16—862no—
1553C2×C8—431no—
1554C2×C8—431no—
1555C2×C8—431no—
1556C2×C8—431no—
1557C2×C8—862no—
1558C2×C8—862no—
1559C2×C8C23×D4311yescharacteristic
1560C2×C8C23×D4311yescharacteristic
1561C2×C8C23×D4311yescharacteristic
1562C2×C8C23×D4311yescharacteristic
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—431no—
1576C4⋊C4—431no—
1577C4⋊C4—431no—
1578C4⋊C4—431no—
1579C4⋊C4—431no—
1580C4⋊C4—431no—
1581C4⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4—861no—
1585C4⋊C4—861no—
1586C4⋊C4—861no—
1587C4⋊C4—861no—
1588C4⋊C4—861no—
1589C4⋊C4—861no—
1590C4⋊C4—861no—
1591C4⋊C4—861no—
1592C4⋊C4—861no—
1593C4⋊C4—861no—
1594C4⋊C4—861no—
1595C4⋊C4—861no—
1596C4⋊C4—861no—
1597C4⋊C4—861no—
1598C4⋊C4D4×D4311yescharacteristic
1599C4⋊C4D4×D4311yescharacteristic
1600C4⋊C4C23×D4311yescharacteristic
1601C4⋊C4C23×D4311yescharacteristic
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—431no—
1609C22⋊C4—431no—
1610C22⋊C4—431no—
1611C22⋊C4—431no—
1612C22⋊C4—861no—
1613C22⋊C4—861no—
1614C22⋊C4—861no—
1615C22⋊C4—861no—
1616C22⋊C4—861no—
1617C22⋊C4—861no—
1618C22⋊C4—861no—
1619C22⋊C4—861no—
1620C22⋊C4—861no—
1621C22⋊C4—861no—
1622C22⋊C4—861no—
1623C22⋊C4—861no—
1624C22⋊C4—861no—
1625C22⋊C4—861no—
1626C22⋊C4—861no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊C4—861no—
1636C22⋊C4—861no—
1637C22⋊C4—861no—
1638C22⋊C4—861no—
1639C22⋊C4—861no—
1640C22⋊C4—861no—
1641C22⋊C4D4×D4311yescharacteristic
1642C22⋊C4D4×D4311yescharacteristic
1643C42—21no—
1644C42—21no—
1645C42—431no—
1646C42—431no—
1647C42—431no—
1648C42—431no—
1649C42—431no—
1650C42—431no—
1651C42—431no—
1652C42—431no—
1653C42—861no—
1654C42—861no—
1655C42—861no—
1656C42—861no—
1657C42—861no—
1658C42C23×D4311yescharacteristic
1659C42C23×D4311yescharacteristic
1660C23—21no—
1661C23—431no—
1662C23—431no—
1663C23—861no—
1664C23—861no—
1665C23—861no—
1666C23—861no—
1667C23—3441no—
1668C23—3441no—
1669C23—3441no—
1670C23—3441no—
1671C23—3441no—
1672C23—3441no—
1673C23—1722no—
1674C23—1722no—
1675C23—1722no—
1676C23C2×D4×D4311yescharacteristic
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—42no—
1688Q8—862no—
1689Q8—861no—
1690Q8—861no—
1691Q8—861no—
1692Q8—861no—
1693Q8—3441no—
1694Q8—3441no—
1695Q8—1722no—
1696Q8—1722no—
1697Q8—1722no—
1698D4—21no—
1699D4—21no—
1700D4—42no—
1701D4—862no—
1702D4—862no—
1703D4—862no—
1704D4—861no—
1705D4—861no—
1706D4—861no—
1707D4—861no—
1708D4—861no—
1709D4—861no—
1710D4—861no—
1711D4—861no—
1712D4—3441no—
1713D4—3441no—
1714D4—3441no—
1715D4—3441no—
1716D4—3441no—
1717D4—3441no—
1718D4—3441no—
1719D4—3441no—
1720D4—1722no—
1721D4—1722no—
1722D4—1722no—
1723D4—1722no—
1724D4—1722no—
1725D4—1722no—
1726D4—1722no—
1727D4—1722no—
1728D4—1722no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—42no—
1739C2×C4—42no—
1740C2×C4—431no—
1741C2×C4—432no—
1742C2×C4—432no—
1743C2×C4—431no—
1744C2×C4—431no—
1745C2×C4—431no—
1746C2×C4—431no—
1747C2×C4—431no—
1748C2×C4—861no—
1749C2×C4—861no—
1750C2×C4—861no—
1751C2×C4—861no—
1752C2×C4—861no—
1753C2×C4—861no—
1754C2×C4—3441no—
1755C2×C4—3441no—
1756C2×C4—1721no—
1757C2×C4—1721no—
1758C2×C4—1721no—
1759C2×C4—1721no—
1760C2×C4—1722no—
1761C2×C4—1722no—
1762C2×C4—1722no—
1763C2×C4—1722no—
1764C2×C4—1722no—
1765C2×C4—1722no—
1766C2×C4—1722no—
1767C2×C4—1722no—
1768C2×C4—1722no—
1769C2×C4—1722no—
1770C2×C4—1721no—
1771C2×C4—1721no—
1772C2×C4C2×D4×D4311yescharacteristic
1773C2×C4C2×D4×D4311yescharacteristic
1774C2×C4C2×D4×D4311yescharacteristic
1775C2×C4C2×D4×D4311yescharacteristic
1776C2×C4C2×D4×D4311yescharacteristic
1777C2×C4C24×D4311yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—861no—
1783C8—861no—
1784C8—861no—
1785C8—861no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—432no—
1793C22—861no—
1794C22—861no—
1795C22—861no—
1796C22—861no—
1797C22—861no—
1798C22—1721no—
1799C22—1721no—
1800C22—1721no—
1801C22—1721no—
1802C22—1721no—
1803C22—1721no—
1804C22—1721no—
1805C22—1721no—
1806C22—1721no—
1807C22—1721no—
1808C22—1721no—
1809C22—1721no—
1810C22—6882no—
1811C22—6882no—
1812C22—6882no—
1813C22C22×D4×D4311yescharacteristic
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—21no—
1818C4—21no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—41no—
1825C4—41no—
1826C4—432no—
1827C4—861no—
1828C4—861no—
1829C4—861no—
1830C4—861no—
1831C4—861no—
1832C4—1721no—
1833C4—1721no—
1834C4—1721no—
1835C4—1721no—
1836C4H(5,𝔽2)×D4311yescharacteristic
1837C4H(5,𝔽2)×D4311yescharacteristic
1838C2—41no—
1839C2—81no—
1840C2—862no—
1841C2—3441no—
1842C2—3441no—
1843C2—3441no—
1844C2—3441no—
1845C2—1721no—
1846C2#535×D4311yescharacteristic
1847C2#1914936511yescharacteristic
1848C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3223C2
socleC22×C43C23×D4
hypercenter#3223D43
hypocenterC43#60835
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3223

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #19148384C2semidirect
2. #19148027C2semidirect
3. #19145711C2semidirect
4. #19145704C2semidirect
5. #19145696C2semidirect
6. #19145691C2semidirect
7. #19145677C2semidirect
8. #19145664C2semidirect
9. #19145661C2semidirect
10. #19145636C2semidirect
11. #19145635C2semidirect
12. #19145597C2semidirect
13. #19145593C2semidirect
14. #19145565C2semidirect
15. #19145561C2semidirect
16. #19145549C2semidirect
17. #19145548C2semidirect
18. #19145083C2semidirect
19. #19145070C2semidirect
20. #19144961C2semidirect
21. #19144948C2semidirect
22. #19144086C2semidirect
23. #19144068C2semidirect
24. #19144053C2semidirect
25. #464×D43C2semidirect
26. #19143911C2semidirect
27. #19143903C2semidirect
28. #19143885C2semidirect
29. #19143869C2semidirect
30. #19143258C2semidirect
31. C43×#3223C2semidirect
35. C2×#13063357C22semidirect
36. C2×#13063357C22semidirect
39. C2×#13063348C22semidirect
40. C2×Q16×D43C22semidirect
50. #14583529C22semidirect
51. #14583521C22semidirect
52. #14583520C22semidirect
55. #14583507C22semidirect
61. #14583474C22semidirect
67. #14583454C22semidirect
68. #14583451C22semidirect
72. #14583435C22semidirect
74. #14583434C22semidirect
80. C4×#10621902C22semidirect
82. C4×Q8×D43C22semidirect
83. #14583292C22semidirect
84. #14583292C22semidirect
85. #14583292C22semidirect
86. #14583291C22semidirect
87. #14583291C22semidirect
88. #14583288C22semidirect
89. #14583285C22semidirect
90. #14583284C22semidirect
91. #14583284C22semidirect
92. #14583283C22semidirect
93. #14583281C22semidirect
94. #14583277C22semidirect
95. #14583273C22semidirect
96. #14583270C22semidirect
97. #14583266C22semidirect
98. #14583265C22semidirect
99. #14583262C22semidirect
100. #14583260C22semidirect
101. #14583260C22semidirect
102. #14583259C22semidirect
103. #14583258C22semidirect
104. #14583256C22semidirect
105. #14583255C22semidirect
106. #14583255C22semidirect
107. #14583249C22semidirect
108. #14583248C22semidirect
109. #14583246C22semidirect
110. #14583244C22semidirect
111. #14583124C22semidirect
112. #14583124C22semidirect
113. #14583124C22semidirect
114. #14583123C22semidirect
115. #14583123C22semidirect
116. #14583123C22semidirect
117. #14583123C22semidirect
118. #14583123C22semidirect
119. #14583123C22semidirect
120. #14583122C22semidirect
121. #14583121C22semidirect
122. #14583121C22semidirect
123. #14583120C22semidirect
124. #14583119C22semidirect
125. #14583119C22semidirect
126. #14583118C22semidirect
127. #14583117C22semidirect
128. #14583117C22semidirect
129. #14583117C22semidirect
130. #14583115C22semidirect
131. #14583113C22semidirect
132. #14583111C22semidirect
133. #14583106C22semidirect
134. #14583101C22semidirect
135. #14583100C22semidirect
136. #14583099C22semidirect
137. #14583099C22semidirect
138. #14583095C22semidirect
140. #14583064C22semidirect
141. #14583063C22semidirect
145. #14583060C22semidirect
146. #14583060C22semidirect
147. #14583059C22semidirect
148. #14583059C22semidirect
149. #14583056C22semidirect
150. #14583055C22semidirect
151. #14583053C22semidirect
152. #14583053C22semidirect
160. #14583047C22semidirect
161. #14583046C22semidirect
163. #14583039C22semidirect
164. #14583038C22semidirect
167. #14582960C22semidirect
168. #14582959C22semidirect
169. #14582959C22semidirect
170. #14582954C22semidirect
171. #14582953C22semidirect
172. #14582950C22semidirect
173. #14582949C22semidirect
174. #14582921C22semidirect
175. C4⋊C8×D43C22semidirect
176. #14582906C22semidirect
179. #14582899C22semidirect
181. #14582894C22semidirect
182. #103×D43C22semidirect
186. #14582856C22semidirect
187. #14582853C22semidirect
188. C43×#541C22semidirect
190. C43×#497C22semidirect
191. C43×#494C22semidirect
192. C43×#491C22semidirect
193. C43×#488C22semidirect
194. C43×#464C22semidirect
195. C43×#464C22semidirect
196. C43×#462C22semidirect
197. C43×#462C22semidirect
200. C43×#451C22semidirect
201. C43×#451C22semidirect
202. C43×#433C22semidirect
921. #3223D43semidirect
980. #541C2×D43semidirect
1014. #497C2×D43semidirect
1022. #494C2×D43semidirect
1026. #491C2×D43semidirect
1036. #488C2×D43semidirect
1057. #464C2×D43semidirect
1058. #464C2×D43semidirect
1066. #462C2×D43semidirect
1067. #462C2×D43semidirect
1089. #451C2×D43semidirect
1090. #451C2×D43semidirect
1108. #433C2×D43semidirect
1127. C43#60835semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#191483842
#191480272
#191457112
#191457042
#191456962
#191456912
#191456772
#191456642
#191456612
#191456362
#191456352
#191455972
#191455932
#191455652
#191455612
#191455492
#191455482
#191450832
#191450702
#191449612
#191449482
#191440862
#191440682
#191440532
#464×D432
#191439112
#191439032
#191438852
#191438692
#191432582
C43×#32232
#6083543