Finite Group Databasebeta

← C71×#62743 #31883615

Subgroups — C71×#62743 #31883615

Order 18176.

6634 conjugacy classes of subgroups.

The subgroup lattice has 2346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C71×#3568C212yesmaximal, complemented
2C71×#3567C212yesmaximal, complemented
3C71×#3566C214yesmaximal, complemented
4C71×#3565C212yesmaximal, complemented
5C71×#3564C212yesmaximal, complemented
6C71×#3563C211yesmaximal, characteristic, complemented
7C71×#3562C212yesmaximal, complemented
8C71×#3561C211yesmaximal, characteristic, complemented
9C71×#3560C212yesmaximal, complemented
10C71×#3559C211yesmaximal, characteristic, complemented
11C71×#3558C211yesmaximal, characteristic, complemented
12C71×#3557C212yesmaximal, complemented
13C71×#3551C212yesmaximal, complemented
14C71×#3542C212yesmaximal, complemented
15C71×#3541C212yesmaximal, complemented
16C71×#3533C214yesmaximal, complemented
17C71×#3531C212yesmaximal, complemented
18C71×#3529C212yesmaximal, complemented
19C71×#3482C212yesmaximal, complemented
20C71×#3481C212yesmaximal, complemented
21C71×#3480C212yesmaximal, complemented
22C71×#3475C214yesmaximal, complemented
23C71×#3475C212yesmaximal, complemented
24C71×#3461C212yesmaximal, complemented
25C71×#3460C212yesmaximal, complemented
26C71×#3460C212yesmaximal, complemented
27C71×#3459C212yesmaximal, complemented
28C71×#3455C214yesmaximal, complemented
29C71×#3444C211yesmaximal, characteristic, complemented
30C71×#3444C211yesmaximal, characteristic, complemented
31C2×#529×C71C211yesmaximal, characteristic, complemented
32#564×C71C2212yescomplemented
33#563×C71C2214yescomplemented
34#563×C71C2214yescomplemented
35#563×C71C2214yescomplemented
36#563×C71C2212yescomplemented
37#563×C71C2212yescomplemented
38#563×C71C2212yescomplemented
39#563×C71C2214yescomplemented
40#563×C71C2214yescomplemented
41#562×C71C2212yescomplemented
42#562×C71C2212yescomplemented
43#562×C71C2212yescomplemented
44#562×C71C2214yescomplemented
45#562×C71C2214yescomplemented
46#562×C71C2214yescomplemented
47#562×C71C2214yescomplemented
48H(3,𝔽4)×C71C2212yescomplemented
49#560×C71C2214yescomplemented
50#560×C71C2214yescomplemented
51#560×C71C2214yescomplemented
52#559×C71C2212yescomplemented
53#559×C71C2212yescomplemented
54#559×C71C2214yescomplemented
55#557×C71C2212yescomplemented
56#557×C71C2212yescomplemented
57#556×C71C2212yescomplemented
58#556×C71C2212yescomplemented
59#556×C71C2214yescomplemented
60#556×C71C2214yescomplemented
61#556×C71C2212yescomplemented
62#556×C71C2214yescomplemented
63#555×C71C2212yes—
64#555×C71C2214yescomplemented
65#554×C71C2212yescomplemented
66#554×C71C2212yescomplemented
67#554×C71C2212yescomplemented
68#554×C71C2214yescomplemented
69#553×C71C2212yescomplemented
70#553×C71C2212yescomplemented
71#553×C71C2212yescomplemented
72#553×C71C2214yescomplemented
73#553×C71C2214yescomplemented
74#553×C71C2214yescomplemented
75#553×C71C2212yescomplemented
76#553×C71C2214yescomplemented
77#553×C71C2214yescomplemented
78#553×C71C2214yescomplemented
79#552×C71C2212yescomplemented
80#552×C71C2212yescomplemented
81#552×C71C2214yescomplemented
82#552×C71C2214yescomplemented
83#552×C71C2214yescomplemented
84#552×C71C2212yescomplemented
85#552×C71C2214yescomplemented
86#552×C71C2214yescomplemented
87#552×C71C2214yescomplemented
88#552×C71C2212yescomplemented
89#552×C71C2214yescomplemented
90#551×C71C2214yescomplemented
91#551×C71C2214yescomplemented
92#551×C71C2214yescomplemented
93#551×C71C2214yescomplemented
94#551×C71C2214yescomplemented
95#551×C71C2214yescomplemented
96#551×C71C2214yescomplemented
97#551×C71C2214yescomplemented
98#550×C71C2212yes—
99D4×Q8×C71C2212yescomplemented
100#548×C71C2212yes—
101#548×C71C2212yescomplemented
102#548×C71C2212yescomplemented
103#548×C71C2212yescomplemented
104#547×C71C2214yescomplemented
105#547×C71C2212yescomplemented
106#547×C71C2214yescomplemented
107#547×C71C2212yescomplemented
108#546×C71C2214yes—
109#546×C71C2212yes—
110#546×C71C2212yescomplemented
111#546×C71C2212yescomplemented
112#546×C71C2214yescomplemented
113#546×C71C2214yescomplemented
114#546×C71C2212yescomplemented
115D42×C71C2212yes—
116#544×C71C2212yescomplemented
117#544×C71C2212yescomplemented
118#544×C71C2212yescomplemented
119#543×C71C2212yescomplemented
120#542×C71C2214yescomplemented
121#542×C71C2214yescomplemented
122#542×C71C2212yescomplemented
123#542×C71C2212yescomplemented
124#542×C71C2212yescomplemented
125#542×C71C2214yescomplemented
126#542×C71C2212yescomplemented
127#542×C71C2214yescomplemented
128#542×C71C2214yescomplemented
129#542×C71C2214yescomplemented
130#542×C71C2214yescomplemented
131#542×C71C2214yescomplemented
132#541×C71C2212yescomplemented
133#541×C71C2212yescomplemented
134#541×C71C2214yescomplemented
135#541×C71C2214yescomplemented
136#541×C71C2214yescomplemented
137#540×C71C2212yes—
138#540×C71C2214yescomplemented
139#540×C71C2214yescomplemented
140#540×C71C2212yescomplemented
141#540×C71C2214yescomplemented
142#540×C71C2214yescomplemented
143#540×C71C2214yescomplemented
144#539×C71C2212yes—
145#539×C71C2214yescomplemented
146#539×C71C2214yescomplemented
147#539×C71C2212yescomplemented
148#539×C71C2214yescomplemented
149#539×C71C2214yescomplemented
150#539×C71C2214yescomplemented
151#539×C71C2214yescomplemented
152#539×C71C2214yescomplemented
153#539×C71C2214yescomplemented
154#538×C71C2212yes—
155#538×C71C2214yescomplemented
156#538×C71C2214yescomplemented
157#538×C71C2214yescomplemented
158#538×C71C2212yescomplemented
159#538×C71C2214yescomplemented
160#538×C71C2214yescomplemented
161#538×C71C2214yescomplemented
162#538×C71C2214yescomplemented
163#538×C71C2214yescomplemented
164#538×C71C2214yescomplemented
165#538×C71C2214yescomplemented
166#537×C71C2212yes—
167#537×C71C2212yescomplemented
168#537×C71C2212yescomplemented
169#536×C71C2212yescomplemented
170#536×C71C2212yescomplemented
171#535×C71C2212yescomplemented
172#535×C71C2212yescomplemented
173#535×C71C2214yescomplemented
174#534×C71C2212yes—
175#534×C71C2214yescomplemented
176#533×C71C2211yescharacteristic, complemented
177#533×C71C2211yescharacteristic, complemented
178#533×C71C2211yescharacteristic, complemented
179#533×C71C2211yescharacteristic, complemented
180#533×C71C2211yescharacteristic, complemented
181#533×C71C2211yescharacteristic, complemented
182#533×C71C2214yescomplemented
183#533×C71C2212yescomplemented
184#533×C71C2214yescomplemented
185#532×C71C2211yescharacteristic
186#532×C71C2211yescharacteristic
187#532×C71C2211yescharacteristic, complemented
188#532×C71C2211yescharacteristic, complemented
189#532×C71C2211yescharacteristic, complemented
190#532×C71C2211yescharacteristic, complemented
191#532×C71C2214yescomplemented
192#532×C71C2212yescomplemented
193#532×C71C2214yescomplemented
194#529×C71C2211yescharacteristic
195#529×C71C2212yescomplemented
196#529×C71C2212yescomplemented
197#529×C71C2211yescharacteristic, complemented
198#529×C71C2212yescomplemented
199#529×C71C2212yescomplemented
200#529×C71C2212yescomplemented
201#529×C71C2212yescomplemented
202#529×C71C2212yescomplemented
203#529×C71C2212yescomplemented
204#529×C71C2211yescharacteristic, complemented
205#529×C71C2212yescomplemented
206#529×C71C2212yescomplemented
207#529×C71C2211yescharacteristic, complemented
208#529×C71C2212yescomplemented
209#529×C71C2212yescomplemented
210#529×C71C2212yescomplemented
211#529×C71C2212yescomplemented
212#529×C71C2212yescomplemented
213#529×C71C2212yescomplemented
214#529×C71C2212yescomplemented
215#529×C71C2212yescomplemented
216#529×C71C2214yescomplemented
217#529×C71C2214yescomplemented
218#529×C71C2214yescomplemented
219#529×C71C2214yescomplemented
220#529×C71C2214yescomplemented
221#529×C71C2214yescomplemented
222#529×C71C2214yescomplemented
223#529×C71C2214yescomplemented
224#529×C71C2214yescomplemented
225#529×C71C2214yescomplemented
226#529×C71C2212yescomplemented
227#529×C71C2212yescomplemented
228#529×C71C2214yescomplemented
229C2×#126×C71C2212yescomplemented
230C2×#125×C71C2211yescharacteristic, complemented
231C2×#124×C71C2211yescharacteristic
232#525×C71C2211yescharacteristic
233#525×C71C2212yescomplemented
234#525×C71C2211yescharacteristic, complemented
235#525×C71C2212yescomplemented
236#525×C71C2212yescomplemented
237#525×C71C2212yescomplemented
238#525×C71C2212yescomplemented
239#525×C71C2214yescomplemented
240#525×C71C2214yescomplemented
241#525×C71C2214yescomplemented
242#525×C71C2214yescomplemented
243#525×C71C2214yescomplemented
244C2×#123×C71C2212yescomplemented
245C2×C22⋊Q8×C71C2211yescharacteristic, complemented
246C2×#121×C71C2211yescharacteristic
247C4×#41×C71C2212yescomplemented
248C4×#41×C71C2212yescomplemented
249C4×#41×C71C2212yescomplemented
250C4×#41×C71C2211yescharacteristic, complemented
251C4×#41×C71C2212yescomplemented
252C4×#41×C71C2211yescharacteristic, complemented
253C4×#41×C71C2212yescomplemented
254C4×#41×C71C2214yescomplemented
255C4×#41×C71C2214yescomplemented
256C4×#41×C71C2212yescomplemented
257C4×#41×C71C2212yescomplemented
258C2×C4×Q8×C71C2211yescharacteristic, complemented
259C2×C4×Q8×C71C2212yescomplemented
260C2×C4×D4×C71C2211yescharacteristic
261C2×C4×D4×C71C2212yescomplemented
262C2×C4×D4×C71C2214yescomplemented
263C2×C4×D4×C71C2212yescomplemented
264C2×#117×C71C2212yescomplemented
265C2×#117×C71C2214yescomplemented
266C22×C42×C71C2211yescharacteristic, complemented
267C2×#41×C71C2311yescharacteristic
268C2×#41×C71C2314yes—
269C2×#41×C71C2312yes—
270C2×#41×C71C2312yes—
271C2×#41×C71C2312yes—
272C2×#41×C71C2311yescharacteristic
273C2×#41×C71C2312yes—
274C2×#41×C71C2312yes—
275C2×#41×C71C2314yes—
276C2×#41×C71C2312yes—
277C2×#41×C71C2312yes—
278C22×Q8×C71C2311yescharacteristic
279C22×Q8×C71C2312yes—
280C22×D4×C71C2311yescharacteristic
281C22×D4×C71C2312yes—
282C22×D4×C71C2314yes—
283C22×D4×C71C2312yes—
284C23×C4×C71C2311yescharacteristic
285C23×C4×C71C2311yescharacteristic
286C23×C4×C71C2311yescharacteristic
287C23×C4×C71C2312yes—
288C23×C4×C71C2314yes—
289C4⋊Q8×C71C2311yescharacteristic
290C4⋊Q8×C71C2311yescharacteristic
291C4⋊Q8×C71C2311yescharacteristic
292C4⋊Q8×C71C2311yescharacteristic
293C4⋊Q8×C71C2311yescharacteristic
294C4⋊Q8×C71C2311yescharacteristic
295C4⋊Q8×C71C2314yes—
296C4⋊Q8×C71C2312yes—
297C4⋊Q8×C71C2314yes—
298C4⋊Q8×C71C2312yes—
299C4⋊Q8×C71C2314yes—
300C4⋊Q8×C71C2314yes—
301C4⋊Q8×C71C2314yes—
302C4⋊Q8×C71C2312yes—
303C4⋊Q8×C71C2314yes—
304#127×C71C2311yescharacteristic
305#127×C71C2311yescharacteristic
306#127×C71C2314yes—
307#127×C71C2312yes—
308#127×C71C2314yes—
309#126×C71C2314yes—
310#126×C71C2314yes—
311#126×C71C2314yes—
312#126×C71C2314yes—
313#126×C71C2312yes—
314#126×C71C2312yes—
315#126×C71C2312yes—
316#126×C71C2314yes—
317#126×C71C2312yes—
318#126×C71C2314yes—
319#126×C71C2314yes—
320#126×C71C2314yes—
321#126×C71C2314yes—
322#126×C71C2314yes—
323#126×C71C2314yes—
324#126×C71C2314yes—
325#126×C71C2314yes—
326#126×C71C2314yes—
327#126×C71C2314yes—
328#126×C71C2314yes—
329#126×C71C2314yes—
330#126×C71C2314yes—
331#126×C71C2314yes—
332#126×C71C2314yes—
333#126×C71C2314yes—
334#126×C71C2314yes—
335#126×C71C2314yes—
336#126×C71C2314yes—
337#126×C71C2314yes—
338#126×C71C2314yes—
339#126×C71C2314yes—
340#126×C71C2314yes—
341#126×C71C2314yes—
342#126×C71C2314yes—
343#125×C71C2312yes—
344#125×C71C2312yes—
345#125×C71C2312yes—
346#125×C71C2312yes—
347#125×C71C2311yescharacteristic
348#125×C71C2312yes—
349#125×C71C2312yes—
350#125×C71C2312yes—
351#125×C71C2312yes—
352#125×C71C2312yes—
353#125×C71C2311yescharacteristic
354#125×C71C2314yes—
355#125×C71C2314yes—
356#125×C71C2314yes—
357#125×C71C2314yes—
358#125×C71C2314yes—
359#125×C71C2314yes—
360#125×C71C2314yes—
361#125×C71C2314yes—
362#125×C71C2312yes—
363#125×C71C2314yes—
364#125×C71C2314yes—
365#125×C71C2314yes—
366#125×C71C2312yes—
367#125×C71C2314yes—
368#125×C71C2314yes—
369#125×C71C2314yes—
370#125×C71C2314yes—
371#125×C71C2314yes—
372#124×C71C2312yes—
373#124×C71C2312yes—
374#124×C71C2312yes—
375#124×C71C2312yes—
376#124×C71C2311yescharacteristic
377#124×C71C2312yes—
378#124×C71C2312yes—
379#124×C71C2312yes—
380#124×C71C2312yes—
381#124×C71C2312yes—
382#124×C71C2311yescharacteristic
383#124×C71C2314yes—
384#124×C71C2312yes—
385#124×C71C2314yes—
386#124×C71C2314yes—
387#124×C71C2314yes—
388#124×C71C2312yes—
389#124×C71C2314yes—
390#124×C71C2314yes—
391#124×C71C2314yes—
392#124×C71C2314yes—
393#124×C71C2314yes—
394#124×C71C2314yes—
395#124×C71C2314yes—
396#124×C71C2314yes—
397#124×C71C2314yes—
398#124×C71C2314yes—
399#124×C71C2314yes—
400#124×C71C2314yes—
401#123×C71C2314yes—
402#123×C71C2314yes—
403#123×C71C2314yes—
404#123×C71C2314yes—
405#123×C71C2312yes—
406#123×C71C2312yes—
407#123×C71C2312yes—
408#123×C71C2314yes—
409#123×C71C2312yes—
410#123×C71C2312yes—
411#123×C71C2314yes—
412#123×C71C2312yes—
413#123×C71C2314yes—
414#123×C71C2314yes—
415#123×C71C2314yes—
416#123×C71C2314yes—
417#123×C71C2314yes—
418#123×C71C2314yes—
419#123×C71C2314yes—
420#123×C71C2314yes—
421#123×C71C2314yes—
422#123×C71C2314yes—
423#123×C71C2314yes—
424#123×C71C2314yes—
425#123×C71C2314yes—
426#123×C71C2314yes—
427#123×C71C2314yes—
428#123×C71C2314yes—
429#123×C71C2314yes—
430#123×C71C2314yes—
431#123×C71C2314yes—
432#123×C71C2314yes—
433#123×C71C2314yes—
434#123×C71C2314yes—
435#123×C71C2314yes—
436#123×C71C2314yes—
437#123×C71C2314yes—
438#123×C71C2314yes—
439#123×C71C2314yes—
440#123×C71C2314yes—
441#123×C71C2314yes—
442#123×C71C2314yes—
443#123×C71C2314yes—
444#123×C71C2314yes—
445#123×C71C2314yes—
446#123×C71C2314yes—
447#123×C71C2314yes—
448C22⋊Q8×C71C2312yes—
449C22⋊Q8×C71C2312yes—
450C22⋊Q8×C71C2312yes—
451C22⋊Q8×C71C2312yes—
452C22⋊Q8×C71C2311yescharacteristic
453C22⋊Q8×C71C2311yescharacteristic
454C22⋊Q8×C71C2311yescharacteristic
455C22⋊Q8×C71C2312yes—
456C22⋊Q8×C71C2312yes—
457C22⋊Q8×C71C2312yes—
458C22⋊Q8×C71C2312yes—
459C22⋊Q8×C71C2312yes—
460C22⋊Q8×C71C2311yescharacteristic
461C22⋊Q8×C71C2312yes—
462C22⋊Q8×C71C2312yes—
463C22⋊Q8×C71C2312yes—
464C22⋊Q8×C71C2312yes—
465C22⋊Q8×C71C2312yes—
466C22⋊Q8×C71C2314yes—
467C22⋊Q8×C71C2314yes—
468C22⋊Q8×C71C2314yes—
469C22⋊Q8×C71C2314yes—
470C22⋊Q8×C71C2314yes—
471C22⋊Q8×C71C2314yes—
472C22⋊Q8×C71C2314yes—
473C22⋊Q8×C71C2314yes—
474C22⋊Q8×C71C2314yes—
475C22⋊Q8×C71C2314yes—
476C22⋊Q8×C71C2314yes—
477C22⋊Q8×C71C2312yes—
478C22⋊Q8×C71C2314yes—
479C22⋊Q8×C71C2312yes—
480C22⋊Q8×C71C2314yes—
481C22⋊Q8×C71C2314yes—
482C22⋊Q8×C71C2314yes—
483C22⋊Q8×C71C2314yes—
484C22⋊Q8×C71C2314yes—
485C22⋊Q8×C71C2314yes—
486C22⋊Q8×C71C2314yes—
487C22⋊Q8×C71C2314yes—
488C22⋊Q8×C71C2314yes—
489C22⋊Q8×C71C2312yes—
490C22⋊Q8×C71C2314yes—
491C22⋊Q8×C71C2312yes—
492C22⋊Q8×C71C2314yes—
493C22⋊Q8×C71C2314yes—
494C22⋊Q8×C71C2314yes—
495C22⋊Q8×C71C2314yes—
496C22⋊Q8×C71C2314yes—
497C22⋊Q8×C71C2314yes—
498C22⋊Q8×C71C2314yes—
499C22⋊Q8×C71C2314yes—
500#121×C71C2312yes—
501#121×C71C2312yes—
502#121×C71C2312yes—
503#121×C71C2312yes—
504#121×C71C2311yescharacteristic
505#121×C71C2311yescharacteristic
506#121×C71C2312yes—
507#121×C71C2311yescharacteristic
508#121×C71C2312yes—
509#121×C71C2312yes—
510#121×C71C2312yes—
511#121×C71C2312yes—
512#121×C71C2312yes—
513#121×C71C2312yes—
514#121×C71C2311yescharacteristic
515#121×C71C2312yes—
516#121×C71C2312yes—
517#121×C71C2312yes—
518#121×C71C2314yes—
519#121×C71C2314yes—
520#121×C71C2314yes—
521#121×C71C2314yes—
522#121×C71C2314yes—
523#121×C71C2314yes—
524#121×C71C2314yes—
525#121×C71C2314yes—
526#121×C71C2314yes—
527#121×C71C2314yes—
528#121×C71C2314yes—
529#121×C71C2314yes—
530#121×C71C2314yes—
531#121×C71C2314yes—
532#121×C71C2314yes—
533#121×C71C2314yes—
534#121×C71C2312yes—
535#121×C71C2314yes—
536#121×C71C2312yes—
537#121×C71C2314yes—
538#121×C71C2314yes—
539#121×C71C2314yes—
540#121×C71C2314yes—
541#121×C71C2314yes—
542#121×C71C2314yes—
543#121×C71C2312yes—
544#121×C71C2314yes—
545#121×C71C2314yes—
546#121×C71C2314yes—
547#121×C71C2312yes—
548#121×C71C2314yes—
549#121×C71C2314yes—
550#121×C71C2314yes—
551#121×C71C2314yes—
552#120×C71C2312yes—
553#120×C71C2314yes—
554#120×C71C2312yes—
555#120×C71C2314yes—
556#120×C71C2314yes—
557#120×C71C2314yes—
558#120×C71C2314yes—
559#120×C71C2314yes—
560#120×C71C2314yes—
561#120×C71C2314yes—
562#120×C71C2314yes—
563#120×C71C2314yes—
564#120×C71C2314yes—
565C4×Q8×C71C2312yes—
566C4×Q8×C71C2312yes—
567C4×Q8×C71C2312yes—
568C4×Q8×C71C2314yes—
569C4×Q8×C71C2312yes—
570C4×Q8×C71C2312yes—
571C4×Q8×C71C2312yes—
572C4×Q8×C71C2312yes—
573C4×Q8×C71C2314yes—
574C4×Q8×C71C2311yescharacteristic
575C4×Q8×C71C2312yes—
576C4×Q8×C71C2312yes—
577C4×Q8×C71C2314yes—
578C4×Q8×C71C2312yes—
579C4×Q8×C71C2312yes—
580C4×Q8×C71C2312yes—
581C4×Q8×C71C2312yes—
582C4×Q8×C71C2312yes—
583C4×Q8×C71C2311yescharacteristic
584C4×Q8×C71C2312yes—
585C4×Q8×C71C2311yescharacteristic
586C4×Q8×C71C2312yes—
587C4×Q8×C71C2311yescharacteristic
588C4×Q8×C71C2312yes—
589C4×Q8×C71C2314yes—
590C4×Q8×C71C2314yes—
591C4×Q8×C71C2312yes—
592C4×Q8×C71C2314yes—
593C4×D4×C71C2312yes—
594C4×D4×C71C2312yes—
595C4×D4×C71C2312yes—
596C4×D4×C71C2312yes—
597C4×D4×C71C2312yes—
598C4×D4×C71C2314yes—
599C4×D4×C71C2312yes—
600C4×D4×C71C2314yes—
601C4×D4×C71C2314yes—
602C4×D4×C71C2314yes—
603C4×D4×C71C2314yes—
604C4×D4×C71C2314yes—
605C4×D4×C71C2314yes—
606C4×D4×C71C2314yes—
607C4×D4×C71C2314yes—
608C4×D4×C71C2314yes—
609C4×D4×C71C2314yes—
610C4×D4×C71C2314yes—
611C4×D4×C71C2312yes—
612C4×D4×C71C2312yes—
613C4×D4×C71C2314yes—
614C4×D4×C71C2312yes—
615C4×D4×C71C2312yes—
616C4×D4×C71C2314yes—
617C4×D4×C71C2312yes—
618C4×D4×C71C2312yes—
619C4×D4×C71C2314yes—
620C4×D4×C71C2312yes—
621C4×D4×C71C2314yes—
622C4×D4×C71C2312yes—
623C4×D4×C71C2312yes—
624C4×D4×C71C2314yes—
625C4×D4×C71C2312yes—
626C4×D4×C71C2314yes—
627C4×D4×C71C2314yes—
628C4×D4×C71C2312yes—
629C4×D4×C71C2312yes—
630C4×D4×C71C2312yes—
631C4×D4×C71C2314yes—
632C4×D4×C71C2312yes—
633C4×D4×C71C2312yes—
634C4×D4×C71C2314yes—
635C4×D4×C71C2312yes—
636C4×D4×C71C2311yescharacteristic
637C4×D4×C71C2312yes—
638C4×D4×C71C2312yes—
639C4×D4×C71C2312yes—
640C4×D4×C71C2311yescharacteristic
641C4×D4×C71C2311yescharacteristic
642C4×D4×C71C2312yes—
643C4×D4×C71C2312yes—
644C4×D4×C71C2311yescharacteristic
645C4×D4×C71C2312yes—
646C4×D4×C71C2314yes—
647C4×D4×C71C2314yes—
648C4×D4×C71C2314yes—
649C4×D4×C71C2314yes—
650C4×D4×C71C2314yes—
651C4×D4×C71C2314yes—
652C4×D4×C71C2314yes—
653C4×D4×C71C2314yes—
654C4×D4×C71C2312yes—
655C4×D4×C71C2314yes—
656C4×D4×C71C2314yes—
657C4×D4×C71C2314yes—
658C4×D4×C71C2312yes—
659#117×C71C2314yes—
660#117×C71C2312yes—
661#117×C71C2314yes—
662#117×C71C2314yes—
663#117×C71C2314yes—
664#117×C71C2314yes—
665#117×C71C2314yes—
666#117×C71C2314yes—
667#117×C71C2314yes—
668#117×C71C2314yes—
669#117×C71C2314yes—
670#117×C71C2312yes—
671#117×C71C2311yescharacteristic
672#117×C71C2311yescharacteristic
673#117×C71C2314yes—
674#117×C71C2312yes—
675#117×C71C2314yes—
676#117×C71C2312yes—
677#117×C71C2312yes—
678#117×C71C2312yes—
679#117×C71C2312yes—
680#117×C71C2312yes—
681#117×C71C2312yes—
682#117×C71C2312yes—
683#117×C71C2314yes—
684#117×C71C2314yes—
685#117×C71C2312yes—
686#117×C71C2314yes—
687#117×C71C2312yes—
688#117×C71C2312yes—
689#117×C71C2314yes—
690#117×C71C2314yes—
691#117×C71C2314yes—
692#117×C71C2314yes—
693C2×C4⋊C4×C71C2312yes—
694C2×C4⋊C4×C71C2312yes—
695C2×C4⋊C4×C71C2314yes—
696C2×C4⋊C4×C71C2314yes—
697C2×C4⋊C4×C71C2311yescharacteristic
698C2×C4⋊C4×C71C2312yes—
699C2×C4⋊C4×C71C2312yes—
700C2×C4⋊C4×C71C2314yes—
701C2×C4⋊C4×C71C2311yescharacteristic
702C2×C4⋊C4×C71C2312yes—
703C2×C4⋊C4×C71C2312yes—
704C2×C4⋊C4×C71C2314yes—
705C2×C22⋊C4×C71C2312yes—
706C2×C22⋊C4×C71C2312yes—
707C2×C22⋊C4×C71C2314yes—
708C2×C22⋊C4×C71C2314yes—
709C2×C22⋊C4×C71C2312yes—
710C2×C22⋊C4×C71C2312yes—
711C2×C22⋊C4×C71C2312yes—
712C2×C22⋊C4×C71C2314yes—
713C2×C22⋊C4×C71C2314yes—
714C2×C22⋊C4×C71C2314yes—
715C2×C42×C71C2311yescharacteristic
716C2×C42×C71C2311yescharacteristic
717C2×C42×C71C2311yescharacteristic
718C2×C42×C71C2311yescharacteristic
719C2×C42×C71C2311yescharacteristic
720C2×C42×C71C2311yescharacteristic
721C2×C42×C71C2311yescharacteristic
722C2×C42×C71C2311yescharacteristic
723C2×C42×C71C2311yescharacteristic
724C2×C42×C71C2311yescharacteristic
725C2×C42×C71C2311yescharacteristic
726C2×C42×C71C2311yescharacteristic
727C2×C42×C71C2312yes—
728C2×C42×C71C2314yes—
729C2×C42×C71C2314yes—
730C2×C42×C71C2312yes—
731C2×C42×C71C2314yes—
732C2×C42×C71C2312yes—
733C2×C42×C71C2314yes—
734C24×C71C2412yes—
735C24×C71C2411yescharacteristic
736C24×C71C2414yes—
737#41×C71—42no—
738#41×C71—48no—
739#41×C71—44no—
740#41×C71—44no—
741#41×C71—42no—
742#41×C71—44no—
743#41×C71—44no—
744#41×C71—48no—
745#41×C71—44no—
746#41×C71—44no—
747#41×C71—44no—
748C2×Q8×C71—42no—
749C2×Q8×C71—44no—
750C2×Q8×C71C2412yes—
751C2×Q8×C71C2412yes—
752C2×Q8×C71C2411yescharacteristic
753C2×Q8×C71C2412yes—
754C2×Q8×C71C2414yes—
755C2×Q8×C71C2414yes—
756C2×Q8×C71C2412yes—
757C2×Q8×C71C2412yes—
758C2×Q8×C71C2414yes—
759C2×Q8×C71C2412yes—
760C2×Q8×C71C2412yes—
761C2×Q8×C71C2411yescharacteristic
762C2×D4×C71—42no—
763C2×D4×C71—44no—
764C2×D4×C71—44no—
765C2×D4×C71—48no—
766C2×D4×C71C2412yes—
767C2×D4×C71C2414yes—
768C2×D4×C71C2412yes—
769C2×D4×C71C2412yes—
770C2×D4×C71C2412yes—
771C2×D4×C71C2411yescharacteristic
772C2×D4×C71C2412yes—
773C2×D4×C71C2412yes—
774C2×D4×C71C2414yes—
775C2×D4×C71C2414yes—
776C2×D4×C71C2412yes—
777C2×D4×C71C2414yes—
778C2×D4×C71C2412yes—
779C2×D4×C71C2412yes—
780C2×D4×C71C2414yes—
781C2×D4×C71C2414yes—
782C2×D4×C71C2414yes—
783C2×D4×C71C2412yes—
784C2×D4×C71C2414yes—
785C2×D4×C71C2412yes—
786C2×D4×C71C2414yes—
787C2×D4×C71C2414yes—
788C2×D4×C71C2414yes—
789C2×D4×C71C2414yes—
790C2×D4×C71C2414yes—
791C2×D4×C71C2412yes—
792C2×D4×C71C2414yes—
793C2×D4×C71C2412yes—
794C2×D4×C71C2411yescharacteristic
795C22×C4×C71—44no—
796C22×C4×C71—42no—
797C22×C4×C71—48no—
798C22×C4×C71—42no—
799C22×C4×C71—42no—
800C22×C4×C71C2411yescharacteristic
801C22×C4×C71C2411yescharacteristic
802C22×C4×C71C2411yescharacteristic
803C22×C4×C71C2411yescharacteristic
804C22×C4×C71C2411yescharacteristic
805C22×C4×C71C2412yes—
806C22×C4×C71C2412yes—
807C22×C4×C71C2412yes—
808C22×C4×C71C2411yescharacteristic
809C22×C4×C71C2412yes—
810C22×C4×C71C2411yescharacteristic
811C22×C4×C71C2411yescharacteristic
812C22×C4×C71C2414yes—
813C22×C4×C71C2412yes—
814C22×C4×C71C2414yes—
815C22×C4×C71C2411yescharacteristic
816C22×C4×C71C2411yescharacteristic
817C22×C4×C71C2411yescharacteristic
818C22×C4×C71C2411yescharacteristic
819C22×C4×C71C2411yescharacteristic
820C22×C4×C71C2411yescharacteristic
821C22×C4×C71C2411yescharacteristic
822C22×C4×C71C2411yescharacteristic
823C22×C4×C71C2411yescharacteristic
824C22×C4×C71C2411yescharacteristic
825C22×C4×C71C2412yes—
826C22×C4×C71C2412yes—
827C22×C4×C71C2414yes—
828C22×C4×C71C2414yes—
829C22×C4×C71C2414yes—
830C22×C4×C71C2414yes—
831C22×C4×C71C2414yes—
832C22×C4×C71C2412yes—
833C22×C4×C71C2414yes—
834C22×C4×C71C2414yes—
835C22×C4×C71C2414yes—
836C22×C4×C71C2412yes—
837C22×C4×C71C2414yes—
838C22×C4×C71C2414yes—
839C22×C4×C71C2414yes—
840C22×C4×C71C2414yes—
841C4⋊C4×C71C2414yes—
842C4⋊C4×C71C2412yes—
843C4⋊C4×C71C2414yes—
844C4⋊C4×C71C2412yes—
845C4⋊C4×C71C2412yes—
846C4⋊C4×C71C2412yes—
847C4⋊C4×C71C2412yes—
848C4⋊C4×C71C2414yes—
849C4⋊C4×C71C2412yes—
850C4⋊C4×C71C2412yes—
851C4⋊C4×C71C2414yes—
852C4⋊C4×C71C2414yes—
853C4⋊C4×C71C2414yes—
854C4⋊C4×C71C2414yes—
855C4⋊C4×C71C2414yes—
856C4⋊C4×C71C2414yes—
857C4⋊C4×C71C2414yes—
858C4⋊C4×C71C2414yes—
859C4⋊C4×C71C2414yes—
860C4⋊C4×C71C2414yes—
861C4⋊C4×C71C2414yes—
862C4⋊C4×C71C2414yes—
863C4⋊C4×C71C2412yes—
864C4⋊C4×C71C2414yes—
865C4⋊C4×C71C2412yes—
866C4⋊C4×C71C2414yes—
867C4⋊C4×C71C2414yes—
868C4⋊C4×C71C2414yes—
869C4⋊C4×C71C2414yes—
870C4⋊C4×C71C2412yes—
871C4⋊C4×C71C2412yes—
872C4⋊C4×C71C2412yes—
873C4⋊C4×C71C2412yes—
874C4⋊C4×C71C2412yes—
875C4⋊C4×C71C2414yes—
876C4⋊C4×C71C2412yes—
877C4⋊C4×C71C2414yes—
878C4⋊C4×C71C2411yescharacteristic
879C4⋊C4×C71C2411yescharacteristic
880C4⋊C4×C71C2414yes—
881C4⋊C4×C71C2412yes—
882C4⋊C4×C71C2412yes—
883C4⋊C4×C71C2414yes—
884C4⋊C4×C71C2412yes—
885C4⋊C4×C71C2412yes—
886C4⋊C4×C71C2414yes—
887C4⋊C4×C71C2414yes—
888C4⋊C4×C71C2414yes—
889C4⋊C4×C71C2412yes—
890C4⋊C4×C71C2412yes—
891C4⋊C4×C71C2412yes—
892C4⋊C4×C71C2412yes—
893C4⋊C4×C71C2414yes—
894C4⋊C4×C71C2414yes—
895C4⋊C4×C71C2411yescharacteristic
896C4⋊C4×C71C2411yescharacteristic
897C4⋊C4×C71C2414yes—
898C4⋊C4×C71C2412yes—
899C4⋊C4×C71C2414yes—
900C4⋊C4×C71C2412yes—
901C4⋊C4×C71C2412yes—
902C4⋊C4×C71C2414yes—
903C22⋊C4×C71C2414yes—
904C22⋊C4×C71C2412yes—
905C22⋊C4×C71C2414yes—
906C22⋊C4×C71C2412yes—
907C22⋊C4×C71C2412yes—
908C22⋊C4×C71C2414yes—
909C22⋊C4×C71C2412yes—
910C22⋊C4×C71C2414yes—
911C22⋊C4×C71C2414yes—
912C22⋊C4×C71C2414yes—
913C22⋊C4×C71C2414yes—
914C22⋊C4×C71C2414yes—
915C22⋊C4×C71C2414yes—
916C22⋊C4×C71C2414yes—
917C22⋊C4×C71C2414yes—
918C22⋊C4×C71C2414yes—
919C22⋊C4×C71C2414yes—
920C22⋊C4×C71C2414yes—
921C22⋊C4×C71C2414yes—
922C22⋊C4×C71C2414yes—
923C22⋊C4×C71C2414yes—
924C22⋊C4×C71C2414yes—
925C22⋊C4×C71C2414yes—
926C22⋊C4×C71C2414yes—
927C22⋊C4×C71C2414yes—
928C22⋊C4×C71C2414yes—
929C22⋊C4×C71C2414yes—
930C22⋊C4×C71C2412yes—
931C22⋊C4×C71C2412yes—
932C22⋊C4×C71C2412yes—
933C22⋊C4×C71C2412yes—
934C22⋊C4×C71C2412yes—
935C22⋊C4×C71C2414yes—
936C22⋊C4×C71C2412yes—
937C22⋊C4×C71C2412yes—
938C22⋊C4×C71C2414yes—
939C22⋊C4×C71C2412yes—
940C22⋊C4×C71C2414yes—
941C22⋊C4×C71C2412yes—
942C22⋊C4×C71C2412yes—
943C22⋊C4×C71C2414yes—
944C22⋊C4×C71C2414yes—
945C22⋊C4×C71C2414yes—
946C22⋊C4×C71C2414yes—
947C22⋊C4×C71C2414yes—
948C22⋊C4×C71C2414yes—
949C22⋊C4×C71C2414yes—
950C22⋊C4×C71C2414yes—
951C22⋊C4×C71C2412yes—
952C22⋊C4×C71C2414yes—
953C22⋊C4×C71C2412yes—
954C22⋊C4×C71C2412yes—
955C22⋊C4×C71C2414yes—
956C22⋊C4×C71C2412yes—
957C22⋊C4×C71C2414yes—
958C42×C71C2411yescharacteristic
959C42×C71C2411yescharacteristic
960C42×C71C2411yescharacteristic
961C42×C71C2411yescharacteristic
962C42×C71C2411yescharacteristic
963C42×C71C2411yescharacteristic
964C42×C71C2411yescharacteristic
965C42×C71C2411yescharacteristic
966C42×C71C2411yescharacteristic
967C42×C71C2411yescharacteristic
968C42×C71C2411yescharacteristic
969C42×C71C2411yescharacteristic
970C42×C71C2414yes—
971C42×C71C2412yes—
972C42×C71C2414yes—
973C42×C71C2414yes—
974C42×C71C2414yes—
975C42×C71C2412yes—
976C42×C71C2412yes—
977C42×C71C2412yes—
978C42×C71C2414yes—
979C42×C71C2414yes—
980C42×C71C2414yes—
981C42×C71C2414yes—
982C42×C71C2414yes—
983C42×C71C2411yescharacteristic
984C42×C71C2411yescharacteristic
985C42×C71C2414yes—
986C42×C71C2412yes—
987C42×C71C2412yes—
988C42×C71C2411yescharacteristic
989C42×C71C2411yescharacteristic
990C42×C71C2414yes—
991C23×C71—22no—
992C23×C71—24no—
993C23×C71—41no—
994C23×C71—41no—
995C23×C71—42no—
996C23×C71—44no—
997C23×C71—42no—
998C23×C71—44no—
999C23×C71—44no—
1000C23×C71C2512yes—
1001C23×C71C2514yes—
1002C23×C71C2511yescharacteristic
1003C23×C71C2511yescharacteristic
1004C23×C71C2514yes—
1005C23×C71C2512yes—
1006C23×C71C2511yescharacteristic
1007Q8×C71—24no—
1008Q8×C71—24no—
1009Q8×C71—42no—
1010Q8×C71—44no—
1011Q8×C71—41no—
1012Q8×C71—44no—
1013Q8×C71—42no—
1014Q8×C71—44no—
1015Q8×C71—42no—
1016Q8×C71—41no—
1017Q8×C71—42no—
1018Q8×C71—42no—
1019D4×C71—24no—
1020D4×C71—28no—
1021D4×C71—24no—
1022D4×C71—24no—
1023D4×C71—24no—
1024D4×C71—44no—
1025D4×C71—44no—
1026D4×C71—44no—
1027D4×C71—42no—
1028D4×C71—44no—
1029D4×C71—44no—
1030D4×C71—42no—
1031D4×C71—44no—
1032D4×C71—42no—
1033D4×C71—44no—
1034D4×C71—42no—
1035D4×C71—41no—
1036D4×C71—44no—
1037D4×C71—44no—
1038D4×C71—42no—
1039D4×C71—41no—
1040D4×C71—42no—
1041D4×C71—42no—
1042D4×C71—42no—
1043D4×C71—44no—
1044D4×C71—42no—
1045D4×C71—44no—
1046D4×C71—44no—
1047D4×C71—44no—
1048C2×C4×C71—22no—
1049C2×C4×C71—22no—
1050C2×C4×C71—24no—
1051C2×C4×C71—22no—
1052C2×C4×C71—28no—
1053C2×C4×C71—24no—
1054C2×C4×C71—22no—
1055C2×C4×C71—22no—
1056C2×C4×C71—22no—
1057C2×C4×C71—22no—
1058C2×C4×C71—28no—
1059C2×C4×C71—22no—
1060C2×C4×C71—24no—
1061C2×C4×C71—24no—
1062C2×C4×C71—24no—
1063C2×C4×C71—41no—
1064C2×C4×C71—44no—
1065C2×C4×C71—41no—
1066C2×C4×C71—41no—
1067C2×C4×C71—41no—
1068C2×C4×C71—41no—
1069C2×C4×C71—41no—
1070C2×C4×C71—41no—
1071C2×C4×C71—42no—
1072C2×C4×C71—44no—
1073C2×C4×C71—44no—
1074C2×C4×C71—44no—
1075C2×C4×C71—41no—
1076C2×C4×C71—41no—
1077C2×C4×C71—41no—
1078C2×C4×C71—44no—
1079C2×C4×C71—44no—
1080C2×C4×C71—42no—
1081C2×C4×C71—42no—
1082C2×C4×C71—44no—
1083C2×C4×C71—42no—
1084C2×C4×C71—44no—
1085C2×C4×C71—44no—
1086C2×C4×C71—44no—
1087C2×C4×C71—44no—
1088C2×C4×C71—44no—
1089C2×C4×C71C2511yescharacteristic
1090C2×C4×C71C2511yescharacteristic
1091C2×C4×C71C2511yescharacteristic
1092C2×C4×C71C2511yescharacteristic
1093C2×C4×C71C2512yes—
1094C2×C4×C71C2512yes—
1095C2×C4×C71C2512yes—
1096C2×C4×C71C2514yes—
1097C2×C4×C71C2511yescharacteristic
1098C2×C4×C71C2511yescharacteristic
1099C2×C4×C71C2511yescharacteristic
1100C2×C4×C71C2511yescharacteristic
1101C2×C4×C71C2511yescharacteristic
1102C2×C4×C71C2511yescharacteristic
1103C2×C4×C71C2514yes—
1104C2×C4×C71C2514yes—
1105C2×C4×C71C2514yes—
1106C2×C4×C71C2512yes—
1107C2×C4×C71C2514yes—
1108C2×C4×C71C2512yes—
1109C2×C4×C71C2512yes—
1110C2×C4×C71C2514yes—
1111C2×C4×C71C2511yescharacteristic
1112C2×C4×C71C2511yescharacteristic
1113C22×C71—21no—
1114C22×C71—21no—
1115C22×C71—22no—
1116C22×C71—22no—
1117C22×C71—24no—
1118C22×C71—21no—
1119C22×C71—21no—
1120C22×C71—21no—
1121C22×C71—21no—
1122C22×C71—24no—
1123C22×C71—22no—
1124C22×C71—22no—
1125C22×C71—22no—
1126C22×C71—24no—
1127C22×C71—24no—
1128C22×C71—21no—
1129C22×C71—21no—
1130C22×C71—22no—
1131C22×C71—24no—
1132C22×C71—24no—
1133C22×C71—44no—
1134C22×C71—84no—
1135C22×C71—88no—
1136C22×C71#58512yes—
1137C22×C71C2611yescharacteristic
1138C4×C71—21no—
1139C4×C71—21no—
1140C4×C71—21no—
1141C4×C71—21no—
1142C4×C71—24no—
1143C4×C71—22no—
1144C4×C71—24no—
1145C4×C71—22no—
1146C4×C71—21no—
1147C4×C71—21no—
1148C4×C71—21no—
1149C4×C71—21no—
1150C4×C71—21no—
1151C4×C71—24no—
1152C4×C71—21no—
1153C4×C71—22no—
1154C4×C71—22no—
1155C4×C71—22no—
1156C4×C71—24no—
1157C4×C71—22no—
1158C4×C71—24no—
1159C4×C71—24no—
1160C4×C71#58512yes—
1161C4×C71#58512yes—
1162#62743C7111yesmaximal, characteristic, direct product factor, Sylow
1163C2×C71—22no—
1164C2×C71—42no—
1165C2×C71—41no—
1166C2×C71—41no—
1167C2×C71—44no—
1168C2×C71—42no—
1169C2×C71—44no—
1170C2×C71C2×#58511yescharacteristic
1171C2×C71C2×#58511yescharacteristic
1172C2×C71C2×#58511yescharacteristic
1173#3568C2×C7112yescomplemented
1174#3567C2×C7112yescomplemented
1175#3566C2×C7114yescomplemented
1176#3565C2×C7112yescomplemented
1177#3564C2×C7112yescomplemented
1178#3563C2×C7111yescharacteristic, complemented
1179#3562C2×C7112yescomplemented
1180#3561C2×C7111yescharacteristic, complemented
1181#3560C2×C7112yescomplemented
1182#3559C2×C7111yescharacteristic, complemented
1183#3558C2×C7111yescharacteristic, complemented
1184#3557C2×C7112yescomplemented
1185#3551C2×C7112yescomplemented
1186#3542C2×C7112yescomplemented
1187#3541C2×C7112yescomplemented
1188#3533C2×C7114yescomplemented
1189#3531C2×C7112yescomplemented
1190#3529C2×C7112yescomplemented
1191#3482C2×C7112yescomplemented
1192#3481C2×C7112yescomplemented
1193#3480C2×C7112yescomplemented
1194#3475C2×C7114yescomplemented
1195#3475C2×C7112yescomplemented
1196#3461C2×C7112yescomplemented
1197#3460C2×C7112yescomplemented
1198#3460C2×C7112yescomplemented
1199#3459C2×C7112yescomplemented
1200#3455C2×C7114yescomplemented
1201#3444C2×C7111yescharacteristic, complemented
1202#3444C2×C7111yescharacteristic, complemented
1203C2×#529C2×C7111yescharacteristic, complemented
1204C71#6274311yescharacteristic, direct product factor, Sylow
1205#564C22×C7112yescomplemented
1206#563C22×C7114yescomplemented
1207#563C22×C7112yescomplemented
1208#563C22×C7114yescomplemented
1209#563C22×C7114yescomplemented
1210#563C22×C7114yescomplemented
1211#563C22×C7114yescomplemented
1212#563C22×C7112yescomplemented
1213#563C22×C7112yescomplemented
1214#562C22×C7114yescomplemented
1215#562C22×C7114yescomplemented
1216#562C22×C7112yescomplemented
1217#562C22×C7112yescomplemented
1218#562C22×C7114yescomplemented
1219#562C22×C7114yescomplemented
1220#562C22×C7112yescomplemented
1221H(3,𝔽4)C22×C7112yescomplemented
1222#560C22×C7114yescomplemented
1223#560C22×C7114yescomplemented
1224#560C22×C7114yescomplemented
1225#559C22×C7114yescomplemented
1226#559C22×C7112yescomplemented
1227#559C22×C7112yescomplemented
1228#557C22×C7112yescomplemented
1229#557C22×C7112yescomplemented
1230#556C22×C7112yescomplemented
1231#556C22×C7114yescomplemented
1232#556C22×C7112yescomplemented
1233#556C22×C7114yescomplemented
1234#556C22×C7112yescomplemented
1235#556C22×C7114yescomplemented
1236#555C22×C7112yes—
1237#555C22×C7114yescomplemented
1238#554C22×C7114yescomplemented
1239#554C22×C7112yescomplemented
1240#554C22×C7112yescomplemented
1241#554C22×C7112yescomplemented
1242#553C22×C7114yescomplemented
1243#553C22×C7114yescomplemented
1244#553C22×C7114yescomplemented
1245#553C22×C7114yescomplemented
1246#553C22×C7112yescomplemented
1247#553C22×C7112yescomplemented
1248#553C22×C7114yescomplemented
1249#553C22×C7112yescomplemented
1250#553C22×C7112yescomplemented
1251#553C22×C7114yescomplemented
1252#552C22×C7114yescomplemented
1253#552C22×C7112yescomplemented
1254#552C22×C7112yescomplemented
1255#552C22×C7114yescomplemented
1256#552C22×C7114yescomplemented
1257#552C22×C7114yescomplemented
1258#552C22×C7114yescomplemented
1259#552C22×C7114yescomplemented
1260#552C22×C7112yescomplemented
1261#552C22×C7112yescomplemented
1262#552C22×C7114yescomplemented
1263#551C22×C7114yescomplemented
1264#551C22×C7114yescomplemented
1265#551C22×C7114yescomplemented
1266#551C22×C7114yescomplemented
1267#551C22×C7114yescomplemented
1268#551C22×C7114yescomplemented
1269#551C22×C7114yescomplemented
1270#551C22×C7114yescomplemented
1271#550C22×C7112yes—
1272D4×Q8C22×C7112yescomplemented
1273#548C22×C7112yes—
1274#548C22×C7112yescomplemented
1275#548C22×C7112yescomplemented
1276#548C22×C7112yescomplemented
1277#547C22×C7114yescomplemented
1278#547C22×C7112yescomplemented
1279#547C22×C7114yescomplemented
1280#547C22×C7112yescomplemented
1281#546C22×C7114yes—
1282#546C22×C7112yes—
1283#546C22×C7114yescomplemented
1284#546C22×C7112yescomplemented
1285#546C22×C7112yescomplemented
1286#546C22×C7114yescomplemented
1287#546C22×C7112yescomplemented
1288D42C22×C7112yes—
1289#544C22×C7112yescomplemented
1290#544C22×C7112yescomplemented
1291#544C22×C7112yescomplemented
1292#543C22×C7112yescomplemented
1293#542C22×C7114yescomplemented
1294#542C22×C7114yescomplemented
1295#542C22×C7114yescomplemented
1296#542C22×C7114yescomplemented
1297#542C22×C7112yescomplemented
1298#542C22×C7114yescomplemented
1299#542C22×C7112yescomplemented
1300#542C22×C7114yescomplemented
1301#542C22×C7114yescomplemented
1302#542C22×C7114yescomplemented
1303#542C22×C7112yescomplemented
1304#542C22×C7112yescomplemented
1305#541C22×C7114yescomplemented
1306#541C22×C7114yescomplemented
1307#541C22×C7112yescomplemented
1308#541C22×C7112yescomplemented
1309#541C22×C7114yescomplemented
1310#540C22×C7112yes—
1311#540C22×C7114yescomplemented
1312#540C22×C7114yescomplemented
1313#540C22×C7114yescomplemented
1314#540C22×C7114yescomplemented
1315#540C22×C7112yescomplemented
1316#540C22×C7114yescomplemented
1317#539C22×C7112yes—
1318#539C22×C7114yescomplemented
1319#539C22×C7114yescomplemented
1320#539C22×C7114yescomplemented
1321#539C22×C7114yescomplemented
1322#539C22×C7114yescomplemented
1323#539C22×C7112yescomplemented
1324#539C22×C7114yescomplemented
1325#539C22×C7114yescomplemented
1326#539C22×C7114yescomplemented
1327#538C22×C7112yes—
1328#538C22×C7114yescomplemented
1329#538C22×C7114yescomplemented
1330#538C22×C7114yescomplemented
1331#538C22×C7114yescomplemented
1332#538C22×C7114yescomplemented
1333#538C22×C7114yescomplemented
1334#538C22×C7114yescomplemented
1335#538C22×C7114yescomplemented
1336#538C22×C7114yescomplemented
1337#538C22×C7112yescomplemented
1338#538C22×C7114yescomplemented
1339#537C22×C7112yes—
1340#537C22×C7112yescomplemented
1341#537C22×C7112yescomplemented
1342#536C22×C7112yescomplemented
1343#536C22×C7112yescomplemented
1344#535C22×C7114yescomplemented
1345#535C22×C7112yescomplemented
1346#535C22×C7112yescomplemented
1347#534C22×C7112yes—
1348#534C22×C7114yescomplemented
1349#533C22×C7111yescharacteristic, complemented
1350#533C22×C7111yescharacteristic, complemented
1351#533C22×C7111yescharacteristic, complemented
1352#533C22×C7111yescharacteristic, complemented
1353#533C22×C7111yescharacteristic, complemented
1354#533C22×C7111yescharacteristic, complemented
1355#533C22×C7114yescomplemented
1356#533C22×C7112yescomplemented
1357#533C22×C7114yescomplemented
1358#532C22×C7111yescharacteristic
1359#532C22×C7111yescharacteristic
1360#532C22×C7111yescharacteristic, complemented
1361#532C22×C7111yescharacteristic, complemented
1362#532C22×C7111yescharacteristic, complemented
1363#532C22×C7111yescharacteristic, complemented
1364#532C22×C7114yescomplemented
1365#532C22×C7112yescomplemented
1366#532C22×C7114yescomplemented
1367#529C22×C7111yescharacteristic
1368#529C22×C7112yescomplemented
1369#529C22×C7112yescomplemented
1370#529C22×C7112yescomplemented
1371#529C22×C7112yescomplemented
1372#529C22×C7112yescomplemented
1373#529C22×C7112yescomplemented
1374#529C22×C7112yescomplemented
1375#529C22×C7112yescomplemented
1376#529C22×C7112yescomplemented
1377#529C22×C7112yescomplemented
1378#529C22×C7112yescomplemented
1379#529C22×C7112yescomplemented
1380#529C22×C7112yescomplemented
1381#529C22×C7111yescharacteristic, complemented
1382#529C22×C7112yescomplemented
1383#529C22×C7112yescomplemented
1384#529C22×C7112yescomplemented
1385#529C22×C7112yescomplemented
1386#529C22×C7111yescharacteristic, complemented
1387#529C22×C7112yescomplemented
1388#529C22×C7111yescharacteristic, complemented
1389#529C22×C7114yescomplemented
1390#529C22×C7114yescomplemented
1391#529C22×C7114yescomplemented
1392#529C22×C7114yescomplemented
1393#529C22×C7114yescomplemented
1394#529C22×C7114yescomplemented
1395#529C22×C7114yescomplemented
1396#529C22×C7114yescomplemented
1397#529C22×C7114yescomplemented
1398#529C22×C7114yescomplemented
1399#529C22×C7112yescomplemented
1400#529C22×C7112yescomplemented
1401#529C22×C7114yescomplemented
1402C2×#126C22×C7112yescomplemented
1403C2×#125C22×C7111yescharacteristic, complemented
1404C2×#124C22×C7111yescharacteristic
1405#525C22×C7111yescharacteristic
1406#525C22×C7112yescomplemented
1407#525C22×C7111yescharacteristic, complemented
1408#525C22×C7112yescomplemented
1409#525C22×C7112yescomplemented
1410#525C22×C7112yescomplemented
1411#525C22×C7112yescomplemented
1412#525C22×C7114yescomplemented
1413#525C22×C7114yescomplemented
1414#525C22×C7114yescomplemented
1415#525C22×C7114yescomplemented
1416#525C22×C7114yescomplemented
1417C2×#123C22×C7112yescomplemented
1418C2×C22⋊Q8C22×C7111yescharacteristic, complemented
1419C2×#121C22×C7111yescharacteristic
1420C4×#41C22×C7112yescomplemented
1421C4×#41C22×C7112yescomplemented
1422C4×#41C22×C7112yescomplemented
1423C4×#41C22×C7111yescharacteristic, complemented
1424C4×#41C22×C7112yescomplemented
1425C4×#41C22×C7111yescharacteristic, complemented
1426C4×#41C22×C7112yescomplemented
1427C4×#41C22×C7114yescomplemented
1428C4×#41C22×C7114yescomplemented
1429C4×#41C22×C7112yescomplemented
1430C4×#41C22×C7112yescomplemented
1431C2×C4×Q8C22×C7111yescharacteristic, complemented
1432C2×C4×Q8C22×C7112yescomplemented
1433C2×C4×D4C22×C7111yescharacteristic
1434C2×C4×D4C22×C7112yescomplemented
1435C2×C4×D4C22×C7114yescomplemented
1436C2×C4×D4C22×C7112yescomplemented
1437C2×#117C22×C7112yescomplemented
1438C2×#117C22×C7114yescomplemented
1439C22×C42C22×C7111yescharacteristic, complemented
1440C2×#41C23×C7111yescharacteristic
1441C2×#41C23×C7114yes—
1442C2×#41C23×C7112yes—
1443C2×#41C23×C7112yes—
1444C2×#41C23×C7112yes—
1445C2×#41C23×C7111yescharacteristic
1446C2×#41C23×C7112yes—
1447C2×#41C23×C7112yes—
1448C2×#41C23×C7114yes—
1449C2×#41C23×C7112yes—
1450C2×#41C23×C7112yes—
1451C22×Q8C23×C7111yescharacteristic
1452C22×Q8C23×C7112yes—
1453C22×D4C23×C7111yescharacteristic
1454C22×D4C23×C7112yes—
1455C22×D4C23×C7114yes—
1456C22×D4C23×C7112yes—
1457C23×C4C23×C7112yes—
1458C23×C4C23×C7114yes—
1459C23×C4C23×C7111yescharacteristic
1460C23×C4C23×C7111yescharacteristic
1461C23×C4C23×C7111yescharacteristic
1462C4⋊Q8C23×C7111yescharacteristic
1463C4⋊Q8C23×C7111yescharacteristic
1464C4⋊Q8C23×C7111yescharacteristic
1465C4⋊Q8C23×C7111yescharacteristic
1466C4⋊Q8C23×C7111yescharacteristic
1467C4⋊Q8C23×C7111yescharacteristic
1468C4⋊Q8C23×C7114yes—
1469C4⋊Q8C23×C7112yes—
1470C4⋊Q8C23×C7114yes—
1471C4⋊Q8C23×C7112yes—
1472C4⋊Q8C23×C7114yes—
1473C4⋊Q8C23×C7114yes—
1474C4⋊Q8C23×C7114yes—
1475C4⋊Q8C23×C7112yes—
1476C4⋊Q8C23×C7114yes—
1477#127C23×C7111yescharacteristic
1478#127C23×C7111yescharacteristic
1479#127C23×C7114yes—
1480#127C23×C7112yes—
1481#127C23×C7114yes—
1482#126C23×C7114yes—
1483#126C23×C7114yes—
1484#126C23×C7114yes—
1485#126C23×C7114yes—
1486#126C23×C7112yes—
1487#126C23×C7112yes—
1488#126C23×C7112yes—
1489#126C23×C7114yes—
1490#126C23×C7112yes—
1491#126C23×C7114yes—
1492#126C23×C7114yes—
1493#126C23×C7114yes—
1494#126C23×C7114yes—
1495#126C23×C7114yes—
1496#126C23×C7114yes—
1497#126C23×C7114yes—
1498#126C23×C7114yes—
1499#126C23×C7114yes—
1500#126C23×C7114yes—
1501#126C23×C7114yes—
1502#126C23×C7114yes—
1503#126C23×C7114yes—
1504#126C23×C7114yes—
1505#126C23×C7114yes—
1506#126C23×C7114yes—
1507#126C23×C7114yes—
1508#126C23×C7114yes—
1509#126C23×C7114yes—
1510#126C23×C7114yes—
1511#126C23×C7114yes—
1512#126C23×C7114yes—
1513#126C23×C7114yes—
1514#126C23×C7114yes—
1515#126C23×C7114yes—
1516#125C23×C7112yes—
1517#125C23×C7112yes—
1518#125C23×C7112yes—
1519#125C23×C7112yes—
1520#125C23×C7111yescharacteristic
1521#125C23×C7112yes—
1522#125C23×C7112yes—
1523#125C23×C7112yes—
1524#125C23×C7112yes—
1525#125C23×C7112yes—
1526#125C23×C7111yescharacteristic
1527#125C23×C7114yes—
1528#125C23×C7114yes—
1529#125C23×C7114yes—
1530#125C23×C7114yes—
1531#125C23×C7114yes—
1532#125C23×C7114yes—
1533#125C23×C7114yes—
1534#125C23×C7114yes—
1535#125C23×C7112yes—
1536#125C23×C7114yes—
1537#125C23×C7114yes—
1538#125C23×C7114yes—
1539#125C23×C7112yes—
1540#125C23×C7114yes—
1541#125C23×C7114yes—
1542#125C23×C7114yes—
1543#125C23×C7114yes—
1544#125C23×C7114yes—
1545#124C23×C7112yes—
1546#124C23×C7112yes—
1547#124C23×C7112yes—
1548#124C23×C7112yes—
1549#124C23×C7111yescharacteristic
1550#124C23×C7112yes—
1551#124C23×C7112yes—
1552#124C23×C7112yes—
1553#124C23×C7112yes—
1554#124C23×C7112yes—
1555#124C23×C7111yescharacteristic
1556#124C23×C7114yes—
1557#124C23×C7112yes—
1558#124C23×C7114yes—
1559#124C23×C7114yes—
1560#124C23×C7114yes—
1561#124C23×C7112yes—
1562#124C23×C7114yes—
1563#124C23×C7114yes—
1564#124C23×C7114yes—
1565#124C23×C7114yes—
1566#124C23×C7114yes—
1567#124C23×C7114yes—
1568#124C23×C7114yes—
1569#124C23×C7114yes—
1570#124C23×C7114yes—
1571#124C23×C7114yes—
1572#124C23×C7114yes—
1573#124C23×C7114yes—
1574#123C23×C7114yes—
1575#123C23×C7114yes—
1576#123C23×C7114yes—
1577#123C23×C7114yes—
1578#123C23×C7112yes—
1579#123C23×C7112yes—
1580#123C23×C7112yes—
1581#123C23×C7114yes—
1582#123C23×C7112yes—
1583#123C23×C7112yes—
1584#123C23×C7114yes—
1585#123C23×C7112yes—
1586#123C23×C7114yes—
1587#123C23×C7114yes—
1588#123C23×C7114yes—
1589#123C23×C7114yes—
1590#123C23×C7114yes—
1591#123C23×C7114yes—
1592#123C23×C7114yes—
1593#123C23×C7114yes—
1594#123C23×C7114yes—
1595#123C23×C7114yes—
1596#123C23×C7114yes—
1597#123C23×C7114yes—
1598#123C23×C7114yes—
1599#123C23×C7114yes—
1600#123C23×C7114yes—
1601#123C23×C7114yes—
1602#123C23×C7114yes—
1603#123C23×C7114yes—
1604#123C23×C7114yes—
1605#123C23×C7114yes—
1606#123C23×C7114yes—
1607#123C23×C7114yes—
1608#123C23×C7114yes—
1609#123C23×C7114yes—
1610#123C23×C7114yes—
1611#123C23×C7114yes—
1612#123C23×C7114yes—
1613#123C23×C7114yes—
1614#123C23×C7114yes—
1615#123C23×C7114yes—
1616#123C23×C7114yes—
1617#123C23×C7114yes—
1618#123C23×C7114yes—
1619#123C23×C7114yes—
1620#123C23×C7114yes—
1621C22⋊Q8C23×C7112yes—
1622C22⋊Q8C23×C7112yes—
1623C22⋊Q8C23×C7112yes—
1624C22⋊Q8C23×C7112yes—
1625C22⋊Q8C23×C7111yescharacteristic
1626C22⋊Q8C23×C7111yescharacteristic
1627C22⋊Q8C23×C7111yescharacteristic
1628C22⋊Q8C23×C7112yes—
1629C22⋊Q8C23×C7112yes—
1630C22⋊Q8C23×C7112yes—
1631C22⋊Q8C23×C7112yes—
1632C22⋊Q8C23×C7112yes—
1633C22⋊Q8C23×C7111yescharacteristic
1634C22⋊Q8C23×C7112yes—
1635C22⋊Q8C23×C7112yes—
1636C22⋊Q8C23×C7112yes—
1637C22⋊Q8C23×C7112yes—
1638C22⋊Q8C23×C7112yes—
1639C22⋊Q8C23×C7114yes—
1640C22⋊Q8C23×C7114yes—
1641C22⋊Q8C23×C7114yes—
1642C22⋊Q8C23×C7114yes—
1643C22⋊Q8C23×C7114yes—
1644C22⋊Q8C23×C7114yes—
1645C22⋊Q8C23×C7114yes—
1646C22⋊Q8C23×C7114yes—
1647C22⋊Q8C23×C7114yes—
1648C22⋊Q8C23×C7114yes—
1649C22⋊Q8C23×C7114yes—
1650C22⋊Q8C23×C7112yes—
1651C22⋊Q8C23×C7114yes—
1652C22⋊Q8C23×C7112yes—
1653C22⋊Q8C23×C7114yes—
1654C22⋊Q8C23×C7114yes—
1655C22⋊Q8C23×C7114yes—
1656C22⋊Q8C23×C7114yes—
1657C22⋊Q8C23×C7114yes—
1658C22⋊Q8C23×C7114yes—
1659C22⋊Q8C23×C7114yes—
1660C22⋊Q8C23×C7114yes—
1661C22⋊Q8C23×C7114yes—
1662C22⋊Q8C23×C7112yes—
1663C22⋊Q8C23×C7114yes—
1664C22⋊Q8C23×C7112yes—
1665C22⋊Q8C23×C7114yes—
1666C22⋊Q8C23×C7114yes—
1667C22⋊Q8C23×C7114yes—
1668C22⋊Q8C23×C7114yes—
1669C22⋊Q8C23×C7114yes—
1670C22⋊Q8C23×C7114yes—
1671C22⋊Q8C23×C7114yes—
1672C22⋊Q8C23×C7114yes—
1673#121C23×C7112yes—
1674#121C23×C7112yes—
1675#121C23×C7112yes—
1676#121C23×C7112yes—
1677#121C23×C7111yescharacteristic
1678#121C23×C7111yescharacteristic
1679#121C23×C7112yes—
1680#121C23×C7111yescharacteristic
1681#121C23×C7112yes—
1682#121C23×C7112yes—
1683#121C23×C7112yes—
1684#121C23×C7112yes—
1685#121C23×C7112yes—
1686#121C23×C7112yes—
1687#121C23×C7111yescharacteristic
1688#121C23×C7112yes—
1689#121C23×C7112yes—
1690#121C23×C7112yes—
1691#121C23×C7114yes—
1692#121C23×C7114yes—
1693#121C23×C7114yes—
1694#121C23×C7114yes—
1695#121C23×C7114yes—
1696#121C23×C7114yes—
1697#121C23×C7114yes—
1698#121C23×C7114yes—
1699#121C23×C7114yes—
1700#121C23×C7114yes—
1701#121C23×C7114yes—
1702#121C23×C7114yes—
1703#121C23×C7114yes—
1704#121C23×C7114yes—
1705#121C23×C7114yes—
1706#121C23×C7114yes—
1707#121C23×C7112yes—
1708#121C23×C7114yes—
1709#121C23×C7112yes—
1710#121C23×C7114yes—
1711#121C23×C7114yes—
1712#121C23×C7114yes—
1713#121C23×C7114yes—
1714#121C23×C7114yes—
1715#121C23×C7114yes—
1716#121C23×C7112yes—
1717#121C23×C7114yes—
1718#121C23×C7114yes—
1719#121C23×C7114yes—
1720#121C23×C7112yes—
1721#121C23×C7114yes—
1722#121C23×C7114yes—
1723#121C23×C7114yes—
1724#121C23×C7114yes—
1725#120C23×C7112yes—
1726#120C23×C7114yes—
1727#120C23×C7112yes—
1728#120C23×C7114yes—
1729#120C23×C7114yes—
1730#120C23×C7114yes—
1731#120C23×C7114yes—
1732#120C23×C7114yes—
1733#120C23×C7114yes—
1734#120C23×C7114yes—
1735#120C23×C7114yes—
1736#120C23×C7114yes—
1737#120C23×C7114yes—
1738C4×Q8C23×C7112yes—
1739C4×Q8C23×C7112yes—
1740C4×Q8C23×C7112yes—
1741C4×Q8C23×C7114yes—
1742C4×Q8C23×C7112yes—
1743C4×Q8C23×C7112yes—
1744C4×Q8C23×C7112yes—
1745C4×Q8C23×C7112yes—
1746C4×Q8C23×C7114yes—
1747C4×Q8C23×C7111yescharacteristic
1748C4×Q8C23×C7112yes—
1749C4×Q8C23×C7112yes—
1750C4×Q8C23×C7114yes—
1751C4×Q8C23×C7112yes—
1752C4×Q8C23×C7112yes—
1753C4×Q8C23×C7112yes—
1754C4×Q8C23×C7112yes—
1755C4×Q8C23×C7112yes—
1756C4×Q8C23×C7111yescharacteristic
1757C4×Q8C23×C7112yes—
1758C4×Q8C23×C7111yescharacteristic
1759C4×Q8C23×C7112yes—
1760C4×Q8C23×C7111yescharacteristic
1761C4×Q8C23×C7112yes—
1762C4×Q8C23×C7114yes—
1763C4×Q8C23×C7114yes—
1764C4×Q8C23×C7112yes—
1765C4×Q8C23×C7114yes—
1766C4×D4C23×C7112yes—
1767C4×D4C23×C7112yes—
1768C4×D4C23×C7112yes—
1769C4×D4C23×C7112yes—
1770C4×D4C23×C7112yes—
1771C4×D4C23×C7114yes—
1772C4×D4C23×C7112yes—
1773C4×D4C23×C7114yes—
1774C4×D4C23×C7114yes—
1775C4×D4C23×C7114yes—
1776C4×D4C23×C7114yes—
1777C4×D4C23×C7114yes—
1778C4×D4C23×C7114yes—
1779C4×D4C23×C7114yes—
1780C4×D4C23×C7114yes—
1781C4×D4C23×C7114yes—
1782C4×D4C23×C7114yes—
1783C4×D4C23×C7114yes—
1784C4×D4C23×C7112yes—
1785C4×D4C23×C7112yes—
1786C4×D4C23×C7114yes—
1787C4×D4C23×C7112yes—
1788C4×D4C23×C7112yes—
1789C4×D4C23×C7114yes—
1790C4×D4C23×C7112yes—
1791C4×D4C23×C7112yes—
1792C4×D4C23×C7114yes—
1793C4×D4C23×C7112yes—
1794C4×D4C23×C7114yes—
1795C4×D4C23×C7112yes—
1796C4×D4C23×C7112yes—
1797C4×D4C23×C7114yes—
1798C4×D4C23×C7112yes—
1799C4×D4C23×C7114yes—
1800C4×D4C23×C7114yes—
1801C4×D4C23×C7112yes—
1802C4×D4C23×C7112yes—
1803C4×D4C23×C7112yes—
1804C4×D4C23×C7114yes—
1805C4×D4C23×C7112yes—
1806C4×D4C23×C7112yes—
1807C4×D4C23×C7114yes—
1808C4×D4C23×C7112yes—
1809C4×D4C23×C7111yescharacteristic
1810C4×D4C23×C7112yes—
1811C4×D4C23×C7112yes—
1812C4×D4C23×C7112yes—
1813C4×D4C23×C7111yescharacteristic
1814C4×D4C23×C7111yescharacteristic
1815C4×D4C23×C7112yes—
1816C4×D4C23×C7112yes—
1817C4×D4C23×C7111yescharacteristic
1818C4×D4C23×C7112yes—
1819C4×D4C23×C7114yes—
1820C4×D4C23×C7114yes—
1821C4×D4C23×C7114yes—
1822C4×D4C23×C7114yes—
1823C4×D4C23×C7114yes—
1824C4×D4C23×C7114yes—
1825C4×D4C23×C7114yes—
1826C4×D4C23×C7114yes—
1827C4×D4C23×C7112yes—
1828C4×D4C23×C7114yes—
1829C4×D4C23×C7114yes—
1830C4×D4C23×C7114yes—
1831C4×D4C23×C7112yes—
1832#117C23×C7114yes—
1833#117C23×C7112yes—
1834#117C23×C7114yes—
1835#117C23×C7114yes—
1836#117C23×C7114yes—
1837#117C23×C7114yes—
1838#117C23×C7114yes—
1839#117C23×C7114yes—
1840#117C23×C7114yes—
1841#117C23×C7114yes—
1842#117C23×C7114yes—
1843#117C23×C7112yes—
1844#117C23×C7111yescharacteristic
1845#117C23×C7111yescharacteristic
1846#117C23×C7114yes—
1847#117C23×C7112yes—
1848#117C23×C7114yes—
1849#117C23×C7112yes—
1850#117C23×C7112yes—
1851#117C23×C7112yes—
1852#117C23×C7112yes—
1853#117C23×C7112yes—
1854#117C23×C7112yes—
1855#117C23×C7112yes—
1856#117C23×C7114yes—
1857#117C23×C7114yes—
1858#117C23×C7112yes—
1859#117C23×C7114yes—
1860#117C23×C7112yes—
1861#117C23×C7112yes—
1862#117C23×C7114yes—
1863#117C23×C7114yes—
1864#117C23×C7114yes—
1865#117C23×C7114yes—
1866C2×C4⋊C4C23×C7112yes—
1867C2×C4⋊C4C23×C7112yes—
1868C2×C4⋊C4C23×C7114yes—
1869C2×C4⋊C4C23×C7114yes—
1870C2×C4⋊C4C23×C7111yescharacteristic
1871C2×C4⋊C4C23×C7112yes—
1872C2×C4⋊C4C23×C7112yes—
1873C2×C4⋊C4C23×C7114yes—
1874C2×C4⋊C4C23×C7111yescharacteristic
1875C2×C4⋊C4C23×C7112yes—
1876C2×C4⋊C4C23×C7112yes—
1877C2×C4⋊C4C23×C7114yes—
1878C2×C22⋊C4C23×C7112yes—
1879C2×C22⋊C4C23×C7112yes—
1880C2×C22⋊C4C23×C7114yes—
1881C2×C22⋊C4C23×C7114yes—
1882C2×C22⋊C4C23×C7112yes—
1883C2×C22⋊C4C23×C7112yes—
1884C2×C22⋊C4C23×C7112yes—
1885C2×C22⋊C4C23×C7114yes—
1886C2×C22⋊C4C23×C7114yes—
1887C2×C22⋊C4C23×C7114yes—
1888C2×C42C23×C7111yescharacteristic
1889C2×C42C23×C7112yes—
1890C2×C42C23×C7114yes—
1891C2×C42C23×C7114yes—
1892C2×C42C23×C7111yescharacteristic
1893C2×C42C23×C7112yes—
1894C2×C42C23×C7114yes—
1895C2×C42C23×C7112yes—
1896C2×C42C23×C7114yes—
1897C2×C42C23×C7111yescharacteristic
1898C2×C42C23×C7111yescharacteristic
1899C2×C42C23×C7111yescharacteristic
1900C2×C42C23×C7111yescharacteristic
1901C2×C42C23×C7111yescharacteristic
1902C2×C42C23×C7111yescharacteristic
1903C2×C42C23×C7111yescharacteristic
1904C2×C42C23×C7111yescharacteristic
1905C2×C42C23×C7111yescharacteristic
1906C2×C42C23×C7111yescharacteristic
1907C24C24×C7112yes—
1908C24C24×C7111yescharacteristic
1909C24C24×C7114yes—
1910#41—42no—
1911#41—48no—
1912#41—44no—
1913#41—44no—
1914#41—42no—
1915#41—44no—
1916#41—44no—
1917#41—48no—
1918#41—44no—
1919#41—44no—
1920#41—44no—
1921C2×Q8—42no—
1922C2×Q8—44no—
1923C2×Q8C24×C7112yes—
1924C2×Q8C24×C7112yes—
1925C2×Q8C24×C7111yescharacteristic
1926C2×Q8C24×C7112yes—
1927C2×Q8C24×C7114yes—
1928C2×Q8C24×C7114yes—
1929C2×Q8C24×C7112yes—
1930C2×Q8C24×C7112yes—
1931C2×Q8C24×C7114yes—
1932C2×Q8C24×C7112yes—
1933C2×Q8C24×C7112yes—
1934C2×Q8C24×C7111yescharacteristic
1935C2×D4—42no—
1936C2×D4—44no—
1937C2×D4—44no—
1938C2×D4—48no—
1939C2×D4C24×C7112yes—
1940C2×D4C24×C7114yes—
1941C2×D4C24×C7112yes—
1942C2×D4C24×C7112yes—
1943C2×D4C24×C7112yes—
1944C2×D4C24×C7111yescharacteristic
1945C2×D4C24×C7112yes—
1946C2×D4C24×C7112yes—
1947C2×D4C24×C7114yes—
1948C2×D4C24×C7114yes—
1949C2×D4C24×C7112yes—
1950C2×D4C24×C7114yes—
1951C2×D4C24×C7112yes—
1952C2×D4C24×C7112yes—
1953C2×D4C24×C7114yes—
1954C2×D4C24×C7114yes—
1955C2×D4C24×C7114yes—
1956C2×D4C24×C7112yes—
1957C2×D4C24×C7114yes—
1958C2×D4C24×C7112yes—
1959C2×D4C24×C7114yes—
1960C2×D4C24×C7114yes—
1961C2×D4C24×C7114yes—
1962C2×D4C24×C7114yes—
1963C2×D4C24×C7114yes—
1964C2×D4C24×C7112yes—
1965C2×D4C24×C7114yes—
1966C2×D4C24×C7112yes—
1967C2×D4C24×C7111yescharacteristic
1968C22×C4—44no—
1969C22×C4—42no—
1970C22×C4—48no—
1971C22×C4—42no—
1972C22×C4—42no—
1973C22×C4C24×C7111yescharacteristic
1974C22×C4C24×C7112yes—
1975C22×C4C24×C7111yescharacteristic
1976C22×C4C24×C7111yescharacteristic
1977C22×C4C24×C7111yescharacteristic
1978C22×C4C24×C7114yes—
1979C22×C4C24×C7111yescharacteristic
1980C22×C4C24×C7111yescharacteristic
1981C22×C4C24×C7111yescharacteristic
1982C22×C4C24×C7111yescharacteristic
1983C22×C4C24×C7112yes—
1984C22×C4C24×C7112yes—
1985C22×C4C24×C7112yes—
1986C22×C4C24×C7112yes—
1987C22×C4C24×C7114yes—
1988C22×C4C24×C7111yescharacteristic
1989C22×C4C24×C7111yescharacteristic
1990C22×C4C24×C7111yescharacteristic
1991C22×C4C24×C7111yescharacteristic
1992C22×C4C24×C7111yescharacteristic
1993C22×C4C24×C7111yescharacteristic
1994C22×C4C24×C7111yescharacteristic
1995C22×C4C24×C7111yescharacteristic
1996C22×C4C24×C7111yescharacteristic
1997C22×C4C24×C7111yescharacteristic
1998C22×C4C24×C7112yes—
1999C22×C4C24×C7112yes—
2000C22×C4C24×C7114yes—
2001C22×C4C24×C7114yes—
2002C22×C4C24×C7114yes—
2003C22×C4C24×C7114yes—
2004C22×C4C24×C7114yes—
2005C22×C4C24×C7112yes—
2006C22×C4C24×C7114yes—
2007C22×C4C24×C7114yes—
2008C22×C4C24×C7114yes—
2009C22×C4C24×C7112yes—
2010C22×C4C24×C7114yes—
2011C22×C4C24×C7114yes—
2012C22×C4C24×C7114yes—
2013C22×C4C24×C7114yes—
2014C4⋊C4C24×C7114yes—
2015C4⋊C4C24×C7112yes—
2016C4⋊C4C24×C7114yes—
2017C4⋊C4C24×C7112yes—
2018C4⋊C4C24×C7112yes—
2019C4⋊C4C24×C7112yes—
2020C4⋊C4C24×C7112yes—
2021C4⋊C4C24×C7114yes—
2022C4⋊C4C24×C7112yes—
2023C4⋊C4C24×C7112yes—
2024C4⋊C4C24×C7114yes—
2025C4⋊C4C24×C7114yes—
2026C4⋊C4C24×C7114yes—
2027C4⋊C4C24×C7114yes—
2028C4⋊C4C24×C7114yes—
2029C4⋊C4C24×C7114yes—
2030C4⋊C4C24×C7114yes—
2031C4⋊C4C24×C7114yes—
2032C4⋊C4C24×C7114yes—
2033C4⋊C4C24×C7114yes—
2034C4⋊C4C24×C7114yes—
2035C4⋊C4C24×C7114yes—
2036C4⋊C4C24×C7112yes—
2037C4⋊C4C24×C7114yes—
2038C4⋊C4C24×C7112yes—
2039C4⋊C4C24×C7114yes—
2040C4⋊C4C24×C7114yes—
2041C4⋊C4C24×C7114yes—
2042C4⋊C4C24×C7114yes—
2043C4⋊C4C24×C7112yes—
2044C4⋊C4C24×C7112yes—
2045C4⋊C4C24×C7112yes—
2046C4⋊C4C24×C7112yes—
2047C4⋊C4C24×C7112yes—
2048C4⋊C4C24×C7114yes—
2049C4⋊C4C24×C7112yes—
2050C4⋊C4C24×C7114yes—
2051C4⋊C4C24×C7111yescharacteristic
2052C4⋊C4C24×C7111yescharacteristic
2053C4⋊C4C24×C7114yes—
2054C4⋊C4C24×C7112yes—
2055C4⋊C4C24×C7112yes—
2056C4⋊C4C24×C7114yes—
2057C4⋊C4C24×C7112yes—
2058C4⋊C4C24×C7112yes—
2059C4⋊C4C24×C7114yes—
2060C4⋊C4C24×C7114yes—
2061C4⋊C4C24×C7114yes—
2062C4⋊C4C24×C7112yes—
2063C4⋊C4C24×C7112yes—
2064C4⋊C4C24×C7112yes—
2065C4⋊C4C24×C7112yes—
2066C4⋊C4C24×C7114yes—
2067C4⋊C4C24×C7114yes—
2068C4⋊C4C24×C7111yescharacteristic
2069C4⋊C4C24×C7111yescharacteristic
2070C4⋊C4C24×C7114yes—
2071C4⋊C4C24×C7112yes—
2072C4⋊C4C24×C7114yes—
2073C4⋊C4C24×C7112yes—
2074C4⋊C4C24×C7112yes—
2075C4⋊C4C24×C7114yes—
2076C22⋊C4C24×C7114yes—
2077C22⋊C4C24×C7112yes—
2078C22⋊C4C24×C7114yes—
2079C22⋊C4C24×C7112yes—
2080C22⋊C4C24×C7112yes—
2081C22⋊C4C24×C7114yes—
2082C22⋊C4C24×C7112yes—
2083C22⋊C4C24×C7114yes—
2084C22⋊C4C24×C7114yes—
2085C22⋊C4C24×C7114yes—
2086C22⋊C4C24×C7114yes—
2087C22⋊C4C24×C7114yes—
2088C22⋊C4C24×C7114yes—
2089C22⋊C4C24×C7114yes—
2090C22⋊C4C24×C7114yes—
2091C22⋊C4C24×C7114yes—
2092C22⋊C4C24×C7114yes—
2093C22⋊C4C24×C7114yes—
2094C22⋊C4C24×C7114yes—
2095C22⋊C4C24×C7114yes—
2096C22⋊C4C24×C7114yes—
2097C22⋊C4C24×C7114yes—
2098C22⋊C4C24×C7114yes—
2099C22⋊C4C24×C7114yes—
2100C22⋊C4C24×C7114yes—
2101C22⋊C4C24×C7114yes—
2102C22⋊C4C24×C7114yes—
2103C22⋊C4C24×C7112yes—
2104C22⋊C4C24×C7112yes—
2105C22⋊C4C24×C7112yes—
2106C22⋊C4C24×C7112yes—
2107C22⋊C4C24×C7112yes—
2108C22⋊C4C24×C7114yes—
2109C22⋊C4C24×C7112yes—
2110C22⋊C4C24×C7112yes—
2111C22⋊C4C24×C7114yes—
2112C22⋊C4C24×C7112yes—
2113C22⋊C4C24×C7114yes—
2114C22⋊C4C24×C7112yes—
2115C22⋊C4C24×C7112yes—
2116C22⋊C4C24×C7114yes—
2117C22⋊C4C24×C7114yes—
2118C22⋊C4C24×C7114yes—
2119C22⋊C4C24×C7114yes—
2120C22⋊C4C24×C7114yes—
2121C22⋊C4C24×C7114yes—
2122C22⋊C4C24×C7114yes—
2123C22⋊C4C24×C7114yes—
2124C22⋊C4C24×C7112yes—
2125C22⋊C4C24×C7114yes—
2126C22⋊C4C24×C7112yes—
2127C22⋊C4C24×C7112yes—
2128C22⋊C4C24×C7114yes—
2129C22⋊C4C24×C7112yes—
2130C22⋊C4C24×C7114yes—
2131C42C24×C7111yescharacteristic
2132C42C24×C7111yescharacteristic
2133C42C24×C7111yescharacteristic
2134C42C24×C7114yes—
2135C42C24×C7112yes—
2136C42C24×C7112yes—
2137C42C24×C7111yescharacteristic
2138C42C24×C7114yes—
2139C42C24×C7111yescharacteristic
2140C42C24×C7111yescharacteristic
2141C42C24×C7111yescharacteristic
2142C42C24×C7111yescharacteristic
2143C42C24×C7111yescharacteristic
2144C42C24×C7111yescharacteristic
2145C42C24×C7111yescharacteristic
2146C42C24×C7111yescharacteristic
2147C42C24×C7111yescharacteristic
2148C42C24×C7111yescharacteristic
2149C42C24×C7111yescharacteristic
2150C42C24×C7111yescharacteristic
2151C42C24×C7114yes—
2152C42C24×C7112yes—
2153C42C24×C7114yes—
2154C42C24×C7114yes—
2155C42C24×C7114yes—
2156C42C24×C7112yes—
2157C42C24×C7112yes—
2158C42C24×C7112yes—
2159C42C24×C7114yes—
2160C42C24×C7114yes—
2161C42C24×C7114yes—
2162C42C24×C7114yes—
2163C42C24×C7114yes—
2164C23—22no—
2165C23—24no—
2166C23—41no—
2167C23—41no—
2168C23—42no—
2169C23—44no—
2170C23—42no—
2171C23—44no—
2172C23—44no—
2173C23C25×C7112yes—
2174C23C25×C7114yes—
2175C23C25×C7111yescharacteristic
2176C23C25×C7111yescharacteristic
2177C23C25×C7114yes—
2178C23C25×C7112yes—
2179C23C25×C7111yescharacteristic
2180Q8—24no—
2181Q8—24no—
2182Q8—42no—
2183Q8—44no—
2184Q8—41no—
2185Q8—44no—
2186Q8—42no—
2187Q8—44no—
2188Q8—42no—
2189Q8—41no—
2190Q8—42no—
2191Q8—42no—
2192D4—24no—
2193D4—28no—
2194D4—24no—
2195D4—24no—
2196D4—24no—
2197D4—44no—
2198D4—44no—
2199D4—44no—
2200D4—42no—
2201D4—44no—
2202D4—44no—
2203D4—42no—
2204D4—44no—
2205D4—42no—
2206D4—44no—
2207D4—42no—
2208D4—41no—
2209D4—44no—
2210D4—44no—
2211D4—42no—
2212D4—41no—
2213D4—42no—
2214D4—42no—
2215D4—42no—
2216D4—44no—
2217D4—42no—
2218D4—44no—
2219D4—44no—
2220D4—44no—
2221C2×C4—22no—
2222C2×C4—22no—
2223C2×C4—24no—
2224C2×C4—22no—
2225C2×C4—28no—
2226C2×C4—24no—
2227C2×C4—22no—
2228C2×C4—22no—
2229C2×C4—22no—
2230C2×C4—22no—
2231C2×C4—28no—
2232C2×C4—22no—
2233C2×C4—24no—
2234C2×C4—24no—
2235C2×C4—24no—
2236C2×C4—41no—
2237C2×C4—44no—
2238C2×C4—41no—
2239C2×C4—41no—
2240C2×C4—41no—
2241C2×C4—41no—
2242C2×C4—41no—
2243C2×C4—41no—
2244C2×C4—42no—
2245C2×C4—44no—
2246C2×C4—44no—
2247C2×C4—44no—
2248C2×C4—41no—
2249C2×C4—41no—
2250C2×C4—41no—
2251C2×C4—44no—
2252C2×C4—44no—
2253C2×C4—42no—
2254C2×C4—42no—
2255C2×C4—44no—
2256C2×C4—42no—
2257C2×C4—44no—
2258C2×C4—44no—
2259C2×C4—44no—
2260C2×C4—44no—
2261C2×C4—44no—
2262C2×C4C25×C7111yescharacteristic
2263C2×C4C25×C7111yescharacteristic
2264C2×C4C25×C7111yescharacteristic
2265C2×C4C25×C7111yescharacteristic
2266C2×C4C25×C7112yes—
2267C2×C4C25×C7112yes—
2268C2×C4C25×C7112yes—
2269C2×C4C25×C7114yes—
2270C2×C4C25×C7111yescharacteristic
2271C2×C4C25×C7111yescharacteristic
2272C2×C4C25×C7111yescharacteristic
2273C2×C4C25×C7111yescharacteristic
2274C2×C4C25×C7111yescharacteristic
2275C2×C4C25×C7111yescharacteristic
2276C2×C4C25×C7114yes—
2277C2×C4C25×C7114yes—
2278C2×C4C25×C7114yes—
2279C2×C4C25×C7112yes—
2280C2×C4C25×C7114yes—
2281C2×C4C25×C7112yes—
2282C2×C4C25×C7112yes—
2283C2×C4C25×C7114yes—
2284C2×C4C25×C7111yescharacteristic
2285C2×C4C25×C7111yescharacteristic
2286C22—21no—
2287C22—21no—
2288C22—22no—
2289C22—22no—
2290C22—24no—
2291C22—21no—
2292C22—21no—
2293C22—21no—
2294C22—21no—
2295C22—24no—
2296C22—22no—
2297C22—22no—
2298C22—22no—
2299C22—24no—
2300C22—24no—
2301C22—21no—
2302C22—21no—
2303C22—22no—
2304C22—24no—
2305C22—24no—
2306C22—44no—
2307C22—84no—
2308C22—88no—
2309C22#585×C7112yes—
2310C22C26×C7111yescharacteristic
2311C4—21no—
2312C4—21no—
2313C4—21no—
2314C4—21no—
2315C4—24no—
2316C4—22no—
2317C4—24no—
2318C4—22no—
2319C4—21no—
2320C4—21no—
2321C4—21no—
2322C4—21no—
2323C4—21no—
2324C4—24no—
2325C4—21no—
2326C4—22no—
2327C4—22no—
2328C4—22no—
2329C4—24no—
2330C4—22no—
2331C4—24no—
2332C4—24no—
2333C4#585×C7112yes—
2334C4#585×C7112yes—
2335C2—22no—
2336C2—41no—
2337C2—41no—
2338C2—42no—
2339C2—44no—
2340C2—44no—
2341C2—42no—
2342C2C2×#585×C7111yescharacteristic
2343C2C2×#585×C7111yescharacteristic
2344C2C2×#585×C7111yescharacteristic
subgroupG/H
centerC2×C4×C71C25
commutator, Frattini, cosocleC22C26×C71
socleC22×C71C26
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C2×C4×C71 ◁ G

Complements

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

NH ≅ G/Ntype
1. C71×#3568C2semidirect
2. C71×#3567C2semidirect
3. C71×#3566C2semidirect
4. C71×#3565C2semidirect
5. C71×#3564C2semidirect
6. C71×#3563C2semidirect
7. C71×#3562C2semidirect
8. C71×#3561C2semidirect
9. C71×#3560C2semidirect
10. C71×#3559C2semidirect
11. C71×#3558C2semidirect
12. C71×#3557C2semidirect
13. C71×#3551C2semidirect
14. C71×#3542C2semidirect
15. C71×#3541C2semidirect
16. C71×#3533C2semidirect
17. C71×#3531C2semidirect
18. C71×#3529C2semidirect
19. C71×#3482C2semidirect
20. C71×#3481C2semidirect
21. C71×#3480C2semidirect
22. C71×#3475C2semidirect
23. C71×#3475C2semidirect
24. C71×#3461C2semidirect
25. C71×#3460C2semidirect
26. C71×#3460C2semidirect
27. C71×#3459C2semidirect
28. C71×#3455C2semidirect
29. C71×#3444C2semidirect
30. C71×#3444C2semidirect
31. C2×#529×C71C2semidirect
32. #564×C71C22semidirect
33. #563×C71C22semidirect
34. #563×C71C22semidirect
35. #563×C71C22semidirect
36. #563×C71C22semidirect
37. #563×C71C22semidirect
38. #563×C71C22semidirect
39. #563×C71C22semidirect
40. #563×C71C22semidirect
41. #562×C71C22semidirect
42. #562×C71C22semidirect
43. #562×C71C22semidirect
44. #562×C71C22semidirect
45. #562×C71C22semidirect
46. #562×C71C22semidirect
47. #562×C71C22semidirect
48. H(3,𝔽4)×C71C22semidirect
49. #560×C71C22semidirect
50. #560×C71C22semidirect
51. #560×C71C22semidirect
52. #559×C71C22semidirect
53. #559×C71C22semidirect
54. #559×C71C22semidirect
55. #557×C71C22semidirect
56. #557×C71C22semidirect
57. #556×C71C22semidirect
58. #556×C71C22semidirect
59. #556×C71C22semidirect
60. #556×C71C22semidirect
61. #556×C71C22semidirect
62. #556×C71C22semidirect
64. #555×C71C22semidirect
65. #554×C71C22semidirect
66. #554×C71C22semidirect
67. #554×C71C22semidirect
68. #554×C71C22semidirect
69. #553×C71C22semidirect
70. #553×C71C22semidirect
71. #553×C71C22semidirect
72. #553×C71C22semidirect
73. #553×C71C22semidirect
74. #553×C71C22semidirect
75. #553×C71C22semidirect
76. #553×C71C22semidirect
77. #553×C71C22semidirect
78. #553×C71C22semidirect
79. #552×C71C22semidirect
80. #552×C71C22semidirect
81. #552×C71C22semidirect
82. #552×C71C22semidirect
83. #552×C71C22semidirect
84. #552×C71C22semidirect
85. #552×C71C22semidirect
86. #552×C71C22semidirect
87. #552×C71C22semidirect
88. #552×C71C22semidirect
89. #552×C71C22semidirect
90. #551×C71C22semidirect
91. #551×C71C22semidirect
92. #551×C71C22semidirect
93. #551×C71C22semidirect
94. #551×C71C22semidirect
95. #551×C71C22semidirect
96. #551×C71C22semidirect
97. #551×C71C22semidirect
99. D4×Q8×C71C22semidirect
101. #548×C71C22semidirect
102. #548×C71C22semidirect
103. #548×C71C22semidirect
104. #547×C71C22semidirect
105. #547×C71C22semidirect
106. #547×C71C22semidirect
107. #547×C71C22semidirect
110. #546×C71C22semidirect
111. #546×C71C22semidirect
112. #546×C71C22semidirect
113. #546×C71C22semidirect
114. #546×C71C22semidirect
116. #544×C71C22semidirect
117. #544×C71C22semidirect
118. #544×C71C22semidirect
119. #543×C71C22semidirect
120. #542×C71C22semidirect
121. #542×C71C22semidirect
122. #542×C71C22semidirect
123. #542×C71C22semidirect
124. #542×C71C22semidirect
125. #542×C71C22semidirect
126. #542×C71C22semidirect
127. #542×C71C22semidirect
128. #542×C71C22semidirect
129. #542×C71C22semidirect
130. #542×C71C22semidirect
131. #542×C71C22semidirect
132. #541×C71C22semidirect
133. #541×C71C22semidirect
134. #541×C71C22semidirect
135. #541×C71C22semidirect
136. #541×C71C22semidirect
138. #540×C71C22semidirect
139. #540×C71C22semidirect
140. #540×C71C22semidirect
141. #540×C71C22semidirect
142. #540×C71C22semidirect
143. #540×C71C22semidirect
145. #539×C71C22semidirect
146. #539×C71C22semidirect
147. #539×C71C22semidirect
148. #539×C71C22semidirect
149. #539×C71C22semidirect
150. #539×C71C22semidirect
151. #539×C71C22semidirect
152. #539×C71C22semidirect
153. #539×C71C22semidirect
155. #538×C71C22semidirect
156. #538×C71C22semidirect
157. #538×C71C22semidirect
158. #538×C71C22semidirect
159. #538×C71C22semidirect
160. #538×C71C22semidirect
161. #538×C71C22semidirect
162. #538×C71C22semidirect
163. #538×C71C22semidirect
164. #538×C71C22semidirect
165. #538×C71C22semidirect
167. #537×C71C22semidirect
168. #537×C71C22semidirect
169. #536×C71C22semidirect
170. #536×C71C22semidirect
171. #535×C71C22semidirect
172. #535×C71C22semidirect
173. #535×C71C22semidirect
175. #534×C71C22semidirect
176. #533×C71C22semidirect
177. #533×C71C22semidirect
178. #533×C71C22semidirect
179. #533×C71C22semidirect
180. #533×C71C22semidirect
181. #533×C71C22semidirect
182. #533×C71C22semidirect
183. #533×C71C22semidirect
184. #533×C71C22semidirect
187. #532×C71C22semidirect
188. #532×C71C22semidirect
189. #532×C71C22semidirect
190. #532×C71C22semidirect
191. #532×C71C22semidirect
192. #532×C71C22semidirect
193. #532×C71C22semidirect
195. #529×C71C22semidirect
196. #529×C71C22semidirect
197. #529×C71C22semidirect
198. #529×C71C22semidirect
199. #529×C71C22semidirect
200. #529×C71C22semidirect
201. #529×C71C22semidirect
202. #529×C71C22semidirect
203. #529×C71C22semidirect
204. #529×C71C22semidirect
205. #529×C71C22semidirect
206. #529×C71C22semidirect
207. #529×C71C22semidirect
208. #529×C71C22semidirect
209. #529×C71C22semidirect
210. #529×C71C22semidirect
211. #529×C71C22semidirect
212. #529×C71C22semidirect
213. #529×C71C22semidirect
214. #529×C71C22semidirect
215. #529×C71C22semidirect
216. #529×C71C22semidirect
217. #529×C71C22semidirect
218. #529×C71C22semidirect
219. #529×C71C22semidirect
220. #529×C71C22semidirect
221. #529×C71C22semidirect
222. #529×C71C22semidirect
223. #529×C71C22semidirect
224. #529×C71C22semidirect
225. #529×C71C22semidirect
226. #529×C71C22semidirect
227. #529×C71C22semidirect
228. #529×C71C22semidirect
229. C2×#126×C71C22semidirect
230. C2×#125×C71C22semidirect
233. #525×C71C22semidirect
234. #525×C71C22semidirect
235. #525×C71C22semidirect
236. #525×C71C22semidirect
237. #525×C71C22semidirect
238. #525×C71C22semidirect
239. #525×C71C22semidirect
240. #525×C71C22semidirect
241. #525×C71C22semidirect
242. #525×C71C22semidirect
243. #525×C71C22semidirect
244. C2×#123×C71C22semidirect
245. C2×C22⋊Q8×C71C22semidirect
247. C4×#41×C71C22semidirect
248. C4×#41×C71C22semidirect
249. C4×#41×C71C22semidirect
250. C4×#41×C71C22semidirect
251. C4×#41×C71C22semidirect
252. C4×#41×C71C22semidirect
253. C4×#41×C71C22semidirect
254. C4×#41×C71C22semidirect
255. C4×#41×C71C22semidirect
256. C4×#41×C71C22semidirect
257. C4×#41×C71C22semidirect
258. C2×C4×Q8×C71C22semidirect
259. C2×C4×Q8×C71C22semidirect
261. C2×C4×D4×C71C22semidirect
262. C2×C4×D4×C71C22semidirect
263. C2×C4×D4×C71C22semidirect
264. C2×#117×C71C22semidirect
265. C2×#117×C71C22semidirect
266. C22×C42×C71C22semidirect
1162. #62743C71direct (N × H)
1173. #3568C2×C71semidirect
1174. #3567C2×C71semidirect
1175. #3566C2×C71semidirect
1176. #3565C2×C71semidirect
1177. #3564C2×C71semidirect
1178. #3563C2×C71semidirect
1179. #3562C2×C71semidirect
1180. #3561C2×C71semidirect
1181. #3560C2×C71semidirect
1182. #3559C2×C71semidirect
1183. #3558C2×C71semidirect
1184. #3557C2×C71semidirect
1185. #3551C2×C71semidirect
1186. #3542C2×C71semidirect
1187. #3541C2×C71semidirect
1188. #3533C2×C71semidirect
1189. #3531C2×C71semidirect
1190. #3529C2×C71semidirect
1191. #3482C2×C71semidirect
1192. #3481C2×C71semidirect
1193. #3480C2×C71semidirect
1194. #3475C2×C71semidirect
1195. #3475C2×C71semidirect
1196. #3461C2×C71semidirect
1197. #3460C2×C71semidirect
1198. #3460C2×C71semidirect
1199. #3459C2×C71semidirect
1200. #3455C2×C71semidirect
1201. #3444C2×C71semidirect
1202. #3444C2×C71semidirect
1203. C2×#529C2×C71semidirect
1204. C71#62743direct (N × H)
1205. #564C22×C71semidirect
1206. #563C22×C71semidirect
1207. #563C22×C71semidirect
1208. #563C22×C71semidirect
1209. #563C22×C71semidirect
1210. #563C22×C71semidirect
1211. #563C22×C71semidirect
1212. #563C22×C71semidirect
1213. #563C22×C71semidirect
1214. #562C22×C71semidirect
1215. #562C22×C71semidirect
1216. #562C22×C71semidirect
1217. #562C22×C71semidirect
1218. #562C22×C71semidirect
1219. #562C22×C71semidirect
1220. #562C22×C71semidirect
1221. H(3,𝔽4)C22×C71semidirect
1222. #560C22×C71semidirect
1223. #560C22×C71semidirect
1224. #560C22×C71semidirect
1225. #559C22×C71semidirect
1226. #559C22×C71semidirect
1227. #559C22×C71semidirect
1228. #557C22×C71semidirect
1229. #557C22×C71semidirect
1230. #556C22×C71semidirect
1231. #556C22×C71semidirect
1232. #556C22×C71semidirect
1233. #556C22×C71semidirect
1234. #556C22×C71semidirect
1235. #556C22×C71semidirect
1237. #555C22×C71semidirect
1238. #554C22×C71semidirect
1239. #554C22×C71semidirect
1240. #554C22×C71semidirect
1241. #554C22×C71semidirect
1242. #553C22×C71semidirect
1243. #553C22×C71semidirect
1244. #553C22×C71semidirect
1245. #553C22×C71semidirect
1246. #553C22×C71semidirect
1247. #553C22×C71semidirect
1248. #553C22×C71semidirect
1249. #553C22×C71semidirect
1250. #553C22×C71semidirect
1251. #553C22×C71semidirect
1252. #552C22×C71semidirect
1253. #552C22×C71semidirect
1254. #552C22×C71semidirect
1255. #552C22×C71semidirect
1256. #552C22×C71semidirect
1257. #552C22×C71semidirect
1258. #552C22×C71semidirect
1259. #552C22×C71semidirect
1260. #552C22×C71semidirect
1261. #552C22×C71semidirect
1262. #552C22×C71semidirect
1263. #551C22×C71semidirect
1264. #551C22×C71semidirect
1265. #551C22×C71semidirect
1266. #551C22×C71semidirect
1267. #551C22×C71semidirect
1268. #551C22×C71semidirect
1269. #551C22×C71semidirect
1270. #551C22×C71semidirect
1272. D4×Q8C22×C71semidirect
1274. #548C22×C71semidirect
1275. #548C22×C71semidirect
1276. #548C22×C71semidirect
1277. #547C22×C71semidirect
1278. #547C22×C71semidirect
1279. #547C22×C71semidirect
1280. #547C22×C71semidirect
1283. #546C22×C71semidirect
1284. #546C22×C71semidirect
1285. #546C22×C71semidirect
1286. #546C22×C71semidirect
1287. #546C22×C71semidirect
1289. #544C22×C71semidirect
1290. #544C22×C71semidirect
1291. #544C22×C71semidirect
1292. #543C22×C71semidirect
1293. #542C22×C71semidirect
1294. #542C22×C71semidirect
1295. #542C22×C71semidirect
1296. #542C22×C71semidirect
1297. #542C22×C71semidirect
1298. #542C22×C71semidirect
1299. #542C22×C71semidirect
1300. #542C22×C71semidirect
1301. #542C22×C71semidirect
1302. #542C22×C71semidirect
1303. #542C22×C71semidirect
1304. #542C22×C71semidirect
1305. #541C22×C71semidirect
1306. #541C22×C71semidirect
1307. #541C22×C71semidirect
1308. #541C22×C71semidirect
1309. #541C22×C71semidirect
1311. #540C22×C71semidirect
1312. #540C22×C71semidirect
1313. #540C22×C71semidirect
1314. #540C22×C71semidirect
1315. #540C22×C71semidirect
1316. #540C22×C71semidirect
1318. #539C22×C71semidirect
1319. #539C22×C71semidirect
1320. #539C22×C71semidirect
1321. #539C22×C71semidirect
1322. #539C22×C71semidirect
1323. #539C22×C71semidirect
1324. #539C22×C71semidirect
1325. #539C22×C71semidirect
1326. #539C22×C71semidirect
1328. #538C22×C71semidirect
1329. #538C22×C71semidirect
1330. #538C22×C71semidirect
1331. #538C22×C71semidirect
1332. #538C22×C71semidirect
1333. #538C22×C71semidirect
1334. #538C22×C71semidirect
1335. #538C22×C71semidirect
1336. #538C22×C71semidirect
1337. #538C22×C71semidirect
1338. #538C22×C71semidirect
1340. #537C22×C71semidirect
1341. #537C22×C71semidirect
1342. #536C22×C71semidirect
1343. #536C22×C71semidirect
1344. #535C22×C71semidirect
1345. #535C22×C71semidirect
1346. #535C22×C71semidirect
1348. #534C22×C71semidirect
1349. #533C22×C71semidirect
1350. #533C22×C71semidirect
1351. #533C22×C71semidirect
1352. #533C22×C71semidirect
1353. #533C22×C71semidirect
1354. #533C22×C71semidirect
1355. #533C22×C71semidirect
1356. #533C22×C71semidirect
1357. #533C22×C71semidirect
1360. #532C22×C71semidirect
1361. #532C22×C71semidirect
1362. #532C22×C71semidirect
1363. #532C22×C71semidirect
1364. #532C22×C71semidirect
1365. #532C22×C71semidirect
1366. #532C22×C71semidirect
1368. #529C22×C71semidirect
1369. #529C22×C71semidirect
1370. #529C22×C71semidirect
1371. #529C22×C71semidirect
1372. #529C22×C71semidirect
1373. #529C22×C71semidirect
1374. #529C22×C71semidirect
1375. #529C22×C71semidirect
1376. #529C22×C71semidirect
1377. #529C22×C71semidirect
1378. #529C22×C71semidirect
1379. #529C22×C71semidirect
1380. #529C22×C71semidirect
1381. #529C22×C71semidirect
1382. #529C22×C71semidirect
1383. #529C22×C71semidirect
1384. #529C22×C71semidirect
1385. #529C22×C71semidirect
1386. #529C22×C71semidirect
1387. #529C22×C71semidirect
1388. #529C22×C71semidirect
1389. #529C22×C71semidirect
1390. #529C22×C71semidirect
1391. #529C22×C71semidirect
1392. #529C22×C71semidirect
1393. #529C22×C71semidirect
1394. #529C22×C71semidirect
1395. #529C22×C71semidirect
1396. #529C22×C71semidirect
1397. #529C22×C71semidirect
1398. #529C22×C71semidirect
1399. #529C22×C71semidirect
1400. #529C22×C71semidirect
1401. #529C22×C71semidirect
1402. C2×#126C22×C71semidirect
1403. C2×#125C22×C71semidirect
1406. #525C22×C71semidirect
1407. #525C22×C71semidirect
1408. #525C22×C71semidirect
1409. #525C22×C71semidirect
1410. #525C22×C71semidirect
1411. #525C22×C71semidirect
1412. #525C22×C71semidirect
1413. #525C22×C71semidirect
1414. #525C22×C71semidirect
1415. #525C22×C71semidirect
1416. #525C22×C71semidirect
1417. C2×#123C22×C71semidirect
1418. C2×C22⋊Q8C22×C71semidirect
1420. C4×#41C22×C71semidirect
1421. C4×#41C22×C71semidirect
1422. C4×#41C22×C71semidirect
1423. C4×#41C22×C71semidirect
1424. C4×#41C22×C71semidirect
1425. C4×#41C22×C71semidirect
1426. C4×#41C22×C71semidirect
1427. C4×#41C22×C71semidirect
1428. C4×#41C22×C71semidirect
1429. C4×#41C22×C71semidirect
1430. C4×#41C22×C71semidirect
1431. C2×C4×Q8C22×C71semidirect
1432. C2×C4×Q8C22×C71semidirect
1434. C2×C4×D4C22×C71semidirect
1435. C2×C4×D4C22×C71semidirect
1436. C2×C4×D4C22×C71semidirect
1437. C2×#117C22×C71semidirect
1438. C2×#117C22×C71semidirect
1439. C22×C42C22×C71semidirect

Maximal subgroups

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

subgroupindex
C71×#35682
C71×#35672
C71×#35662
C71×#35652
C71×#35642
C71×#35632
C71×#35622
C71×#35612
C71×#35602
C71×#35592
C71×#35582
C71×#35572
C71×#35512
C71×#35422
C71×#35412
C71×#35332
C71×#35312
C71×#35292
C71×#34822
C71×#34812
C71×#34802
C71×#34752
C71×#34612
C71×#34602
C71×#34592
C71×#34552
C71×#34442
C2×#529×C712
#6274371