Finite Group Databasebeta

← C71×#61992 #31882864

Subgroups — C71×#61992 #31882864

Order 18176.

1870 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C71×#3514C211yesmaximal, characteristic, complemented
2C71×#3480C211yesmaximal, characteristic, complemented
3C71×#3403C211yesmaximal, characteristic, complemented
4C71×#3401C211yesmaximal, characteristic, complemented
5C71×#3377C211yesmaximal, characteristic, complemented
6C71×#3371C211yesmaximal, characteristic, complemented
7C71×#3320C211yesmaximal, characteristic, complemented
8C71×#3318C211yesmaximal, characteristic, complemented
9C71×#3313C211yesmaximal, characteristic, complemented
10C71×#3311C211yesmaximal, characteristic, complemented
11C71×#3301C211yesmaximal, characteristic, complemented
12C71×#3297C211yesmaximal, characteristic, complemented
13C71×#3285C211yesmaximal, characteristic, complemented
14C71×#3282C211yesmaximal, characteristic, complemented
15C71×#3271C211yesmaximal, characteristic, complemented
16C71×#3270C211yesmaximal, characteristic, complemented
17C71×#3268C211yesmaximal, characteristic, complemented
18C71×#3265C211yesmaximal, characteristic, complemented
19C71×#3256C211yesmaximal, characteristic, complemented
20C71×#3250C211yesmaximal, characteristic, complemented
21C71×#3247C211yesmaximal, characteristic, complemented
22C71×#3219C211yesmaximal, characteristic, complemented
23C71×#3213C211yesmaximal, characteristic, complemented
24C71×#3211C211yesmaximal, characteristic, complemented
25C71×#3117C211yesmaximal, characteristic, complemented
26C71×#3111C211yesmaximal, characteristic, complemented
27C71×#3102C211yesmaximal, characteristic, complemented
28C71×#3040C211yesmaximal, characteristic, complemented
29C71×#3035C211yesmaximal, characteristic, complemented
30C2×#464×C71C211yesmaximal, characteristic, complemented
31C71×#2990C211yesmaximal, characteristic, complemented
32C2×#137×C71C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C71C2211yescharacteristic
34C2×#135×C71C2211yescharacteristic, complemented
35C2×#135×C71C2211yescharacteristic, complemented
36C22×Q16×C71C2211yescharacteristic, complemented
37C22×SD16×C71C2211yescharacteristic
38#559×C71—21no—
39#559×C71C2211yescharacteristic
40#559×C71C2211yescharacteristic, complemented
41#557×C71C2211yescharacteristic, complemented
42#556×C71—21no—
43#556×C71C2211yescharacteristic
44#556×C71C2211yescharacteristic, complemented
45#555×C71—21no—
46#553×C71—21no—
47#553×C71—21no—
48#553×C71C2211yescharacteristic
49#553×C71C2211yescharacteristic, complemented
50#551×C71—21no—
51#551×C71—21no—
52#550×C71C2211yescharacteristic, complemented
53D4×Q8×C71C2211yescharacteristic
54#548×C71C2211yescharacteristic
55#548×C71C2211yescharacteristic
56#548×C71C2211yescharacteristic
57#548×C71C2211yescharacteristic, complemented
58#546×C71—21no—
59#546×C71C2211yescharacteristic
60#546×C71C2211yescharacteristic
61D42×C71C2211yescharacteristic
62#542×C71—21no—
63#538×C71—21no—
64#538×C71—21no—
65#532×C71—21no—
66#532×C71C2211yescharacteristic
67#532×C71C2211yescharacteristic, complemented
68#529×C71—21no—
69#529×C71—21no—
70#529×C71C2211yescharacteristic
71#529×C71C2211yescharacteristic
72#529×C71C2211yescharacteristic
73#529×C71C2211yescharacteristic, complemented
74#529×C71C2211yescharacteristic, complemented
75C2×#124×C71C2211yescharacteristic
76C2×#124×C71C2211yescharacteristic
77#518×C71—21no—
78C4×#41×C71—21no—
79C4×#41×C71C2211yescharacteristic
80C4×#41×C71C2211yescharacteristic, complemented
81C4×#41×C71C2211yescharacteristic, complemented
82C2×C4×Q8×C71C2211yescharacteristic, complemented
83#497×C71C2211yescharacteristic, complemented
84#496×C71C2211yescharacteristic
85#496×C71C2211yescharacteristic
86#496×C71C2211yescharacteristic, complemented
87#495×C71C2211yescharacteristic
88#495×C71C2211yescharacteristic, complemented
89#491×C71C2211yescharacteristic, complemented
90#490×C71C2211yescharacteristic
91#489×C71C2211yescharacteristic
92#489×C71C2211yescharacteristic, complemented
93#488×C71C2211yescharacteristic
94#488×C71C2211yescharacteristic, complemented
95#485×C71C2211yescharacteristic, complemented
96#485×C71C2211yescharacteristic, complemented
97#484×C71C2211yescharacteristic, complemented
98#482×C71C2211yescharacteristic
99#482×C71C2211yescharacteristic
100#481×C71C2211yescharacteristic
101#479×C71C2211yescharacteristic, complemented
102#479×C71C2211yescharacteristic, complemented
103#479×C71C2211yescharacteristic, complemented
104#479×C71C2211yescharacteristic, complemented
105#478×C71C2211yescharacteristic
106#478×C71C2211yescharacteristic, complemented
107#478×C71C2211yescharacteristic, complemented
108#478×C71C2211yescharacteristic, complemented
109#477×C71C2211yescharacteristic, complemented
110#476×C71C2211yescharacteristic, complemented
111#470×C71C2211yescharacteristic, complemented
112#469×C71C2211yescharacteristic
113#468×C71C2211yescharacteristic
114#468×C71C2211yescharacteristic, complemented
115#467×C71C2211yescharacteristic, complemented
116#466×C71C2211yescharacteristic
117#466×C71C2211yescharacteristic
118#466×C71C2211yescharacteristic
119#465×C71C2211yescharacteristic
120#465×C71C2211yescharacteristic, complemented
121#465×C71C2211yescharacteristic, complemented
122#465×C71C2211yescharacteristic, complemented
123#464×C71C2211yescharacteristic
124#464×C71C2211yescharacteristic
125#464×C71C2211yescharacteristic
126#464×C71C2211yescharacteristic
127#464×C71C2211yescharacteristic
128#464×C71C2211yescharacteristic, complemented
129#464×C71C2211yescharacteristic, complemented
130#464×C71C2211yescharacteristic, complemented
131#464×C71C2211yescharacteristic, complemented
132#464×C71C2211yescharacteristic, complemented
133#464×C71C2211yescharacteristic, complemented
134#464×C71C2211yescharacteristic, complemented
135#464×C71C2211yescharacteristic, complemented
136#464×C71C2211yescharacteristic, complemented
137#463×C71C2211yescharacteristic
138#463×C71C2211yescharacteristic
139#463×C71C2211yescharacteristic
140#463×C71C2211yescharacteristic
141#463×C71C2211yescharacteristic, complemented
142#463×C71C2211yescharacteristic, complemented
143#463×C71C2211yescharacteristic, complemented
144#463×C71C2211yescharacteristic, complemented
145#463×C71C2211yescharacteristic, complemented
146#463×C71C2211yescharacteristic, complemented
147#462×C71C2211yescharacteristic, complemented
148#461×C71C2211yescharacteristic, complemented
149#460×C71C2211yescharacteristic
150#460×C71C2211yescharacteristic, complemented
151#459×C71C2211yescharacteristic
152#459×C71C2211yescharacteristic, complemented
153#452×C71C2211yescharacteristic, complemented
154#452×C71C2211yescharacteristic, complemented
155#452×C71C2211yescharacteristic, complemented
156#452×C71C2211yescharacteristic, complemented
157#451×C71C2211yescharacteristic, complemented
158#451×C71C2211yescharacteristic, complemented
159#450×C71C2211yescharacteristic
160#449×C71C2211yescharacteristic
161#449×C71C2211yescharacteristic
162#449×C71C2211yescharacteristic, complemented
163#449×C71C2211yescharacteristic, complemented
164#448×C71C2211yescharacteristic
165#448×C71C2211yescharacteristic, complemented
166#448×C71C2211yescharacteristic, complemented
167#448×C71C2211yescharacteristic, complemented
168#447×C71C2211yescharacteristic
169#447×C71C2211yescharacteristic
170#447×C71C2211yescharacteristic
171#446×C71C2211yescharacteristic, complemented
172#446×C71C2211yescharacteristic, complemented
173#442×C71C2211yescharacteristic
174#441×C71C2211yescharacteristic, complemented
175#441×C71C2211yescharacteristic, complemented
176#441×C71C2211yescharacteristic, complemented
177#440×C71C2211yescharacteristic
178#440×C71C2211yescharacteristic, complemented
179#440×C71C2211yescharacteristic, complemented
180#440×C71C2211yescharacteristic, complemented
181C4×Q16×C71C2211yescharacteristic, complemented
182C4×SD16×C71C2211yescharacteristic, complemented
183C4×SD16×C71C2211yescharacteristic, complemented
184C4×D8×C71C2211yescharacteristic, complemented
185#435×C71C2211yescharacteristic
186#435×C71C2211yescharacteristic
187#435×C71C2211yescharacteristic, complemented
188#435×C71C2211yescharacteristic, complemented
189C8×D4×C71C2211yescharacteristic, complemented
190C8×D4×C71C2211yescharacteristic, complemented
191#432×C71C2211yescharacteristic, complemented
192#432×C71C2211yescharacteristic, complemented
193#431×C71C2211yescharacteristic, complemented
194#423×C71C2211yescharacteristic, complemented
195C2×C4⋊C8×C71C2211yescharacteristic, complemented
196C2×C4⋊C8×C71C2211yescharacteristic, complemented
197#419×C71C2211yescharacteristic, complemented
198#418×C71C2211yescharacteristic
199#416×C71C2211yescharacteristic, complemented
200#416×C71C2211yescharacteristic, complemented
201C2×#103×C71C2211yescharacteristic, complemented
202C2×#102×C71C2211yescharacteristic
203C2×#41×C71—21no—
204C2×#41×C71D411yescharacteristic
205C2×#41×C71C2311yescharacteristic
206C2×#41×C71C2311yescharacteristic
207C2×#41×C71C2311yescharacteristic
208C2×#41×C71C2311yescharacteristic
209C22×Q8×C71C2311yescharacteristic
210C22×Q8×C71C2311yescharacteristic
211C22×Q8×C71C2311yescharacteristic
212C22×D4×C71—21no—
213C22×D4×C71C2311yescharacteristic
214C22×D4×C71C2311yescharacteristic
215#137×C71—42no—
216AGL(1,ℤ/8)×C71—42no—
217#135×C71—42no—
218#135×C71—42no—
219C2×Q16×C71—42no—
220C2×Q16×C71C2311yescharacteristic
221C2×Q16×C71C2311yescharacteristic
222C2×Q16×C71C2311yescharacteristic
223C2×Q16×C71C2311yescharacteristic
224C2×Q16×C71C2311yescharacteristic
225C2×Q16×C71C2311yescharacteristic
226C2×SD16×C71—42no—
227C2×SD16×C71C2311yescharacteristic
228C2×SD16×C71C2311yescharacteristic
229C2×SD16×C71C2311yescharacteristic
230C2×SD16×C71C2311yescharacteristic
231C2×SD16×C71C2311yescharacteristic
232C2×SD16×C71C2311yescharacteristic
233C2×SD16×C71C2311yescharacteristic
234C2×SD16×C71C2311yescharacteristic
235C2×SD16×C71C2311yescharacteristic
236C2×SD16×C71C2311yescharacteristic
237C2×SD16×C71C2311yescharacteristic
238C2×SD16×C71C2311yescharacteristic
239C2×D8×C71C2311yescharacteristic
240C2×D8×C71C2311yescharacteristic
241C2×D8×C71C2311yescharacteristic
242C2×D8×C71C2311yescharacteristic
243C2×D8×C71C2311yescharacteristic
244C2×D8×C71C2311yescharacteristic
245C2×M16×C71C2311yescharacteristic
246C2×M16×C71C2311yescharacteristic
247C22×C8×C71C2311yescharacteristic
248C22×C8×C71C2311yescharacteristic
249C22×C8×C71C2311yescharacteristic
250C22×C8×C71C2311yescharacteristic
251C4⋊Q8×C71—21no—
252C4⋊Q8×C71—21no—
253C4⋊Q8×C71C2311yescharacteristic
254C4⋊Q8×C71C2311yescharacteristic
255#127×C71—21no—
256#127×C71C2311yescharacteristic
257#127×C71C2311yescharacteristic
258#126×C71—21no—
259#126×C71—21no—
260#126×C71—21no—
261#126×C71—21no—
262#126×C71—21no—
263#126×C71—21no—
264#126×C71—21no—
265#126×C71—21no—
266#126×C71—21no—
267#126×C71—21no—
268#126×C71—21no—
269#125×C71—21no—
270#125×C71—21no—
271#125×C71C2311yescharacteristic
272#125×C71C2311yescharacteristic
273#125×C71C2311yescharacteristic
274#124×C71—21no—
275#124×C71—21no—
276#124×C71—21no—
277#124×C71—21no—
278#124×C71—21no—
279#124×C71—21no—
280#124×C71—21no—
281#124×C71—21no—
282#124×C71—21no—
283#124×C71—21no—
284#124×C71—21no—
285#124×C71—21no—
286#124×C71C2311yescharacteristic
287#124×C71C2311yescharacteristic
288#124×C71C2311yescharacteristic
289#124×C71C2311yescharacteristic
290#124×C71C2311yescharacteristic
291#124×C71C2311yescharacteristic
292#124×C71C2311yescharacteristic
293#124×C71C2311yescharacteristic
294#124×C71C2311yescharacteristic
295#123×C71—21no—
296#123×C71—21no—
297#123×C71—21no—
298#123×C71—21no—
299#123×C71—21no—
300#123×C71—21no—
301#123×C71—21no—
302#123×C71—21no—
303#123×C71—21no—
304#123×C71—21no—
305#123×C71—21no—
306#123×C71—21no—
307#123×C71—21no—
308C22⋊Q8×C71—21no—
309C22⋊Q8×C71—21no—
310C22⋊Q8×C71—21no—
311C22⋊Q8×C71—21no—
312C22⋊Q8×C71—21no—
313C22⋊Q8×C71—21no—
314C22⋊Q8×C71—21no—
315C22⋊Q8×C71C2311yescharacteristic
316C22⋊Q8×C71C2311yescharacteristic
317C22⋊Q8×C71C2311yescharacteristic
318C22⋊Q8×C71C2311yescharacteristic
319C22⋊Q8×C71C2311yescharacteristic
320#121×C71—21no—
321#121×C71—21no—
322#121×C71—21no—
323#121×C71—21no—
324#121×C71—21no—
325#121×C71—21no—
326#121×C71—21no—
327#121×C71—21no—
328#121×C71—21no—
329#121×C71—21no—
330#121×C71—21no—
331#121×C71—21no—
332#121×C71—21no—
333#121×C71—21no—
334#121×C71C2311yescharacteristic
335#121×C71C2311yescharacteristic
336#121×C71C2311yescharacteristic
337#121×C71C2311yescharacteristic
338#121×C71C2311yescharacteristic
339#121×C71C2311yescharacteristic
340#121×C71C2311yescharacteristic
341#120×C71—21no—
342#120×C71—21no—
343#120×C71—21no—
344#120×C71—21no—
345C4×Q8×C71—21no—
346C4×Q8×C71—21no—
347C4×Q8×C71—21no—
348C4×Q8×C71—21no—
349C4×Q8×C71D411yescharacteristic
350C4×Q8×C71C2311yescharacteristic
351C4×Q8×C71C2311yescharacteristic
352C4×Q8×C71C2311yescharacteristic
353C4×Q8×C71C2311yescharacteristic
354C4×Q8×C71C2311yescharacteristic
355C4×Q8×C71C2311yescharacteristic
356C4×Q8×C71C2311yescharacteristic
357C4×Q8×C71C2311yescharacteristic
358C4×Q8×C71C2311yescharacteristic
359C4×Q8×C71C2311yescharacteristic
360C4×D4×C71—21no—
361C4×D4×C71—21no—
362C4×D4×C71—21no—
363C4×D4×C71—21no—
364C4×D4×C71—21no—
365C4×D4×C71—21no—
366C4×D4×C71—21no—
367C4×D4×C71—21no—
368C4×D4×C71—21no—
369C4×D4×C71—21no—
370C4×D4×C71—21no—
371C4×D4×C71—21no—
372C4×D4×C71—21no—
373C4×D4×C71—21no—
374C4×D4×C71—21no—
375C4×D4×C71—21no—
376C4×D4×C71—21no—
377C4×D4×C71—21no—
378C4×D4×C71—21no—
379C4×D4×C71—21no—
380C4×D4×C71—21no—
381C4×D4×C71—21no—
382C4×D4×C71D411yescharacteristic
383C4×D4×C71D411yescharacteristic
384C4×D4×C71D411yescharacteristic
385C4×D4×C71C2311yescharacteristic
386C4×D4×C71C2311yescharacteristic
387C4×D4×C71C2311yescharacteristic
388C4×D4×C71C2311yescharacteristic
389C4×D4×C71C2311yescharacteristic
390C4×D4×C71C2311yescharacteristic
391C4×D4×C71C2311yescharacteristic
392C4×D4×C71C2311yescharacteristic
393C4×D4×C71C2311yescharacteristic
394C4×D4×C71C2311yescharacteristic
395#117×C71—21no—
396#117×C71—21no—
397#117×C71—21no—
398#117×C71—21no—
399#117×C71—21no—
400#117×C71—21no—
401#117×C71—21no—
402#117×C71—21no—
403#117×C71D411yescharacteristic
404#117×C71D411yescharacteristic
405#117×C71D411yescharacteristic
406#117×C71C2311yescharacteristic
407#117×C71C2311yescharacteristic
408C2×C4⋊C4×C71—21no—
409C2×C4⋊C4×C71C2311yescharacteristic
410C2×C22⋊C4×C71—21no—
411C2×C22⋊C4×C71—21no—
412C2×C22⋊C4×C71—21no—
413C2×C22⋊C4×C71—21no—
414C2×C22⋊C4×C71—21no—
415C2×C22⋊C4×C71—21no—
416C2×C42×C71—21no—
417C2×C42×C71—21no—
418C2×C42×C71—21no—
419C2×C42×C71C2311yescharacteristic
420C2×C42×C71C2311yescharacteristic
421C2×C42×C71C2311yescharacteristic
422#107×C71C2311yescharacteristic
423#107×C71C2311yescharacteristic
424#107×C71C2311yescharacteristic
425#107×C71C2311yescharacteristic
426#106×C71C2311yescharacteristic
427#106×C71C2311yescharacteristic
428#106×C71C2311yescharacteristic
429#106×C71C2311yescharacteristic
430C4⋊C8×C71C2311yescharacteristic
431C4⋊C8×C71C2311yescharacteristic
432C4⋊C8×C71C2311yescharacteristic
433C4⋊C8×C71C2311yescharacteristic
434C4⋊C8×C71C2311yescharacteristic
435C4⋊C8×C71C2311yescharacteristic
436C4⋊C8×C71C2311yescharacteristic
437C4⋊C8×C71C2311yescharacteristic
438C4⋊C8×C71C2311yescharacteristic
439C4⋊C8×C71C2311yescharacteristic
440#103×C71C2311yescharacteristic
441#103×C71C2311yescharacteristic
442#103×C71C2311yescharacteristic
443#103×C71C2311yescharacteristic
444#103×C71C2311yescharacteristic
445#103×C71C2311yescharacteristic
446#103×C71C2311yescharacteristic
447#103×C71C2311yescharacteristic
448#103×C71C2311yescharacteristic
449#103×C71C2311yescharacteristic
450#103×C71C2311yescharacteristic
451#103×C71C2311yescharacteristic
452#103×C71C2311yescharacteristic
453#103×C71C2311yescharacteristic
454#103×C71C2311yescharacteristic
455#103×C71C2311yescharacteristic
456#102×C71C2311yescharacteristic
457#102×C71C2311yescharacteristic
458#102×C71C2311yescharacteristic
459#102×C71C2311yescharacteristic
460#102×C71C2311yescharacteristic
461#102×C71C2311yescharacteristic
462#102×C71C2311yescharacteristic
463#102×C71C2311yescharacteristic
464#102×C71C2311yescharacteristic
465#102×C71C2311yescharacteristic
466#102×C71C2311yescharacteristic
467#102×C71C2311yescharacteristic
468#102×C71C2311yescharacteristic
469#102×C71C2311yescharacteristic
470#102×C71C2311yescharacteristic
471#102×C71C2311yescharacteristic
472C22⋊C8×C71C2311yescharacteristic
473C22⋊C8×C71C2311yescharacteristic
474C22⋊C8×C71C2311yescharacteristic
475C22⋊C8×C71C2311yescharacteristic
476C22⋊C8×C71C2311yescharacteristic
477C22⋊C8×C71C2311yescharacteristic
478#97×C71C2311yescharacteristic
479#97×C71C2311yescharacteristic
480#97×C71C2311yescharacteristic
481#97×C71C2311yescharacteristic
482C4×C8×C71C2311yescharacteristic
483C4×C8×C71C2311yescharacteristic
484C24×C71—21no—
485C24×C71—21no—
486#41×C71—22no—
487#41×C71—22no—
488#41×C71—42no—
489#41×C71—41no—
490#41×C71—41no—
491#41×C71—44no—
492#41×C71—41no—
493#41×C71—41no—
494#41×C71—41no—
495#41×C71—41no—
496C2×Q8×C71—21no—
497C2×Q8×C71—21no—
498C2×Q8×C71—21no—
499C2×Q8×C71—21no—
500C2×Q8×C71—22no—
501C2×Q8×C71—41no—
502C2×Q8×C71—41no—
503C2×Q8×C71—41no—
504C2×Q8×C71—41no—
505C2×Q8×C71—41no—
506C2×Q8×C71C2×D411yescharacteristic
507C2×Q8×C71C2411yescharacteristic
508C2×Q8×C71C2411yescharacteristic
509C2×Q8×C71C2411yescharacteristic
510C2×Q8×C71C2411yescharacteristic
511C2×Q8×C71C2411yescharacteristic
512C2×D4×C71—21no—
513C2×D4×C71—21no—
514C2×D4×C71—21no—
515C2×D4×C71—21no—
516C2×D4×C71—21no—
517C2×D4×C71—21no—
518C2×D4×C71—21no—
519C2×D4×C71—21no—
520C2×D4×C71—21no—
521C2×D4×C71—21no—
522C2×D4×C71—21no—
523C2×D4×C71—21no—
524C2×D4×C71—21no—
525C2×D4×C71—21no—
526C2×D4×C71—21no—
527C2×D4×C71—21no—
528C2×D4×C71—21no—
529C2×D4×C71—41no—
530C2×D4×C71—41no—
531C2×D4×C71—41no—
532C2×D4×C71—41no—
533C2×D4×C71—44no—
534C2×D4×C71C2×D411yescharacteristic
535C2×D4×C71C2×D411yescharacteristic
536C2×D4×C71C2×D411yescharacteristic
537C2×D4×C71C2411yescharacteristic
538C2×D4×C71C2411yescharacteristic
539C2×D4×C71C2411yescharacteristic
540C2×D4×C71C2411yescharacteristic
541C2×D4×C71C2411yescharacteristic
542C22×C4×C71—21no—
543C22×C4×C71—21no—
544C22×C4×C71—21no—
545C22×C4×C71—21no—
546C22×C4×C71—21no—
547C22×C4×C71—21no—
548C22×C4×C71—21no—
549C22×C4×C71—21no—
550C22×C4×C71—21no—
551C22×C4×C71—21no—
552C22×C4×C71—21no—
553C22×C4×C71—21no—
554C22×C4×C71—21no—
555C22×C4×C71—21no—
556C22×C4×C71—21no—
557C22×C4×C71C2×D411yescharacteristic
558C22×C4×C71C2×D411yescharacteristic
559C22×C4×C71C2×D411yescharacteristic
560C22×C4×C71C2×D411yescharacteristic
561C22×C4×C71C2×D411yescharacteristic
562C22×C4×C71C2×D411yescharacteristic
563C22×C4×C71C2411yescharacteristic
564C22×C4×C71C2411yescharacteristic
565C22×C4×C71C2411yescharacteristic
566Q16×C71—22no—
567Q16×C71—22no—
568Q16×C71—22no—
569Q16×C71—41no—
570Q16×C71—41no—
571Q16×C71—41no—
572SD16×C71—22no—
573SD16×C71—22no—
574SD16×C71—22no—
575SD16×C71—41no—
576SD16×C71—41no—
577SD16×C71—41no—
578SD16×C71—41no—
579SD16×C71—41no—
580SD16×C71—41no—
581SD16×C71—41no—
582SD16×C71—41no—
583SD16×C71—41no—
584D8×C71—41no—
585D8×C71—41no—
586D8×C71—41no—
587D8×C71—41no—
588D8×C71—41no—
589D8×C71—41no—
590M16×C71—41no—
591M16×C71—41no—
592C2×C8×C71—41no—
593C2×C8×C71—41no—
594C2×C8×C71—41no—
595C2×C8×C71—41no—
596C2×C8×C71C2411yescharacteristic
597C2×C8×C71C2411yescharacteristic
598C2×C8×C71C2411yescharacteristic
599C2×C8×C71C2411yescharacteristic
600C2×C8×C71C2411yescharacteristic
601C2×C8×C71C2411yescharacteristic
602C2×C8×C71C2411yescharacteristic
603C2×C8×C71C2411yescharacteristic
604C4⋊C4×C71—21no—
605C4⋊C4×C71—21no—
606C4⋊C4×C71—21no—
607C4⋊C4×C71—21no—
608C4⋊C4×C71—21no—
609C4⋊C4×C71—21no—
610C4⋊C4×C71—21no—
611C4⋊C4×C71—21no—
612C4⋊C4×C71—21no—
613C4⋊C4×C71—21no—
614C4⋊C4×C71—21no—
615C4⋊C4×C71—21no—
616C4⋊C4×C71—21no—
617C4⋊C4×C71—21no—
618C4⋊C4×C71—21no—
619C4⋊C4×C71—21no—
620C4⋊C4×C71—21no—
621C4⋊C4×C71—21no—
622C4⋊C4×C71—21no—
623C4⋊C4×C71—21no—
624C4⋊C4×C71—21no—
625C4⋊C4×C71—21no—
626C4⋊C4×C71—21no—
627C4⋊C4×C71—21no—
628C4⋊C4×C71C2×D411yescharacteristic
629C4⋊C4×C71C2×D411yescharacteristic
630C4⋊C4×C71C2×D411yescharacteristic
631C4⋊C4×C71C2×D411yescharacteristic
632C4⋊C4×C71C2×D411yescharacteristic
633C4⋊C4×C71C2×D411yescharacteristic
634C4⋊C4×C71C2411yescharacteristic
635C4⋊C4×C71C2411yescharacteristic
636C4⋊C4×C71C2411yescharacteristic
637C4⋊C4×C71C2411yescharacteristic
638C4⋊C4×C71C2411yescharacteristic
639C4⋊C4×C71C2411yescharacteristic
640C22⋊C4×C71—21no—
641C22⋊C4×C71—21no—
642C22⋊C4×C71—21no—
643C22⋊C4×C71—21no—
644C22⋊C4×C71—21no—
645C22⋊C4×C71—21no—
646C22⋊C4×C71—21no—
647C22⋊C4×C71—21no—
648C22⋊C4×C71—21no—
649C22⋊C4×C71—21no—
650C22⋊C4×C71—21no—
651C22⋊C4×C71—21no—
652C22⋊C4×C71—21no—
653C22⋊C4×C71—21no—
654C22⋊C4×C71—21no—
655C22⋊C4×C71—21no—
656C22⋊C4×C71—21no—
657C22⋊C4×C71—21no—
658C22⋊C4×C71—21no—
659C22⋊C4×C71—21no—
660C22⋊C4×C71—21no—
661C22⋊C4×C71—21no—
662C22⋊C4×C71—21no—
663C22⋊C4×C71—21no—
664C22⋊C4×C71—21no—
665C22⋊C4×C71—21no—
666C22⋊C4×C71—21no—
667C22⋊C4×C71—21no—
668C22⋊C4×C71—21no—
669C22⋊C4×C71—21no—
670C22⋊C4×C71—21no—
671C22⋊C4×C71—21no—
672C22⋊C4×C71—21no—
673C22⋊C4×C71—21no—
674C22⋊C4×C71—21no—
675C22⋊C4×C71—21no—
676C22⋊C4×C71—21no—
677C22⋊C4×C71—21no—
678C22⋊C4×C71—21no—
679C22⋊C4×C71C2×D411yescharacteristic
680C22⋊C4×C71C2×D411yescharacteristic
681C22⋊C4×C71C2×D411yescharacteristic
682C22⋊C4×C71C2×D411yescharacteristic
683C22⋊C4×C71C2×D411yescharacteristic
684C22⋊C4×C71C2×D411yescharacteristic
685C42×C71—21no—
686C42×C71—21no—
687C42×C71—21no—
688C42×C71—21no—
689C42×C71—21no—
690C42×C71—21no—
691C42×C71—21no—
692C42×C71—21no—
693C42×C71—21no—
694C42×C71—21no—
695C42×C71—21no—
696C42×C71C2×D411yescharacteristic
697C42×C71C2×D411yescharacteristic
698C42×C71C2×D411yescharacteristic
699C42×C71C2×D411yescharacteristic
700C42×C71C2×D411yescharacteristic
701C42×C71C2×D411yescharacteristic
702C42×C71C2411yescharacteristic
703C42×C71C2411yescharacteristic
704C42×C71C2411yescharacteristic
705C42×C71C2411yescharacteristic
706C23×C71—21no—
707C23×C71—21no—
708C23×C71—21no—
709C23×C71—21no—
710C23×C71—21no—
711C23×C71—42no—
712C23×C71—42no—
713C23×C71—81no—
714C23×C71—81no—
715C23×C71—81no—
716C23×C71—81no—
717C23×C71C22×D411yescharacteristic
718C23×C71C22×D411yescharacteristic
719C23×C71C22×D411yescharacteristic
720Q8×C71—21no—
721Q8×C71—21no—
722Q8×C71—21no—
723Q8×C71—21no—
724Q8×C71—21no—
725Q8×C71—21no—
726Q8×C71—21no—
727Q8×C71—21no—
728Q8×C71—21no—
729Q8×C71—41no—
730Q8×C71—42no—
731Q8×C71—42no—
732Q8×C71—81no—
733Q8×C71—81no—
734Q8×C71H(5,𝔽2)12yes—
735D4×C71—22no—
736D4×C71—22no—
737D4×C71—21no—
738D4×C71—21no—
739D4×C71—21no—
740D4×C71—21no—
741D4×C71—21no—
742D4×C71—21no—
743D4×C71—21no—
744D4×C71—21no—
745D4×C71—21no—
746D4×C71—21no—
747D4×C71—41no—
748D4×C71—42no—
749D4×C71—42no—
750D4×C71—42no—
751D4×C71—42no—
752D4×C71—42no—
753D4×C71—42no—
754D4×C71—42no—
755D4×C71—42no—
756D4×C71—81no—
757D4×C71—81no—
758D4×C71—81no—
759D4×C71—81no—
760D4×C71—81no—
761D4×C71—81no—
762D4×C71—81no—
763D4×C71—81no—
764D4×C71—81no—
765C2×C4×C71—22no—
766C2×C4×C71—21no—
767C2×C4×C71—21no—
768C2×C4×C71—21no—
769C2×C4×C71—21no—
770C2×C4×C71—21no—
771C2×C4×C71—21no—
772C2×C4×C71—21no—
773C2×C4×C71—21no—
774C2×C4×C71—21no—
775C2×C4×C71—21no—
776C2×C4×C71—21no—
777C2×C4×C71—21no—
778C2×C4×C71—21no—
779C2×C4×C71—21no—
780C2×C4×C71—21no—
781C2×C4×C71—21no—
782C2×C4×C71—21no—
783C2×C4×C71—41no—
784C2×C4×C71—41no—
785C2×C4×C71—41no—
786C2×C4×C71—41no—
787C2×C4×C71—41no—
788C2×C4×C71—42no—
789C2×C4×C71—42no—
790C2×C4×C71—42no—
791C2×C4×C71—42no—
792C2×C4×C71—42no—
793C2×C4×C71—42no—
794C2×C4×C71—81no—
795C2×C4×C71—81no—
796C2×C4×C71—81no—
797C2×C4×C71—81no—
798C2×C4×C71—81no—
799C2×C4×C71—81no—
800C2×C4×C71—81no—
801C2×C4×C71—81no—
802C2×C4×C71—81no—
803C2×C4×C71C22×D411yescharacteristic
804C2×C4×C71C22×D411yescharacteristic
805C2×C4×C71C22×D411yescharacteristic
806C2×C4×C71C22×D411yescharacteristic
807C2×C4×C71C22×D411yescharacteristic
808C2×C4×C71C22×D411yescharacteristic
809C2×C4×C71C22×D411yescharacteristic
810C2×C4×C71C22×D411yescharacteristic
811C2×C4×C71C22×D411yescharacteristic
812C2×C4×C71C22×D411yescharacteristic
813C2×C4×C71C22×D411yescharacteristic
814C2×C4×C71C2511yescharacteristic
815C8×C71—21no—
816C8×C71—21no—
817C8×C71—21no—
818C8×C71—21no—
819C8×C71—21no—
820C8×C71—21no—
821C8×C71—21no—
822C8×C71—21no—
823C22×C71—21no—
824C22×C71—21no—
825C22×C71—21no—
826C22×C71—21no—
827C22×C71—21no—
828C22×C71—21no—
829C22×C71—21no—
830C22×C71—21no—
831C22×C71—41no—
832C22×C71—41no—
833C22×C71—41no—
834C22×C71—41no—
835C22×C71—41no—
836C22×C71—41no—
837C22×C71—41no—
838C22×C71—41no—
839C22×C71—41no—
840C22×C71—41no—
841C22×C71—41no—
842C22×C71—41no—
843C22×C71—41no—
844C22×C71—41no—
845C22×C71—41no—
846C22×C71—162no—
847C22×C71—162no—
848C22×C71#57512yes—
849C22×C71C23×D411yescharacteristic
850C4×C71—21no—
851C4×C71—21no—
852C4×C71—21no—
853C4×C71—21no—
854C4×C71—21no—
855C4×C71—21no—
856C4×C71—21no—
857C4×C71—22no—
858C4×C71—21no—
859C4×C71—21no—
860C4×C71—21no—
861C4×C71—21no—
862C4×C71—41no—
863C4×C71—41no—
864C4×C71—41no—
865C4×C71—41no—
866C4×C71—41no—
867C4×C71—41no—
868C4×C71—41no—
869C4×C71—41no—
870C4×C71—41no—
871C4×C71—41no—
872C4×C71C2×H(5,𝔽2)11yescharacteristic
873C4×C71#58511yescharacteristic
874#61992C7111yesmaximal, characteristic, direct product factor, Sylow
875C2×C71—22no—
876C2×C71—41no—
877C2×C71—41no—
878C2×C71—81no—
879C2×C71—81no—
880C2×C71—81no—
881C2×C71—81no—
882C2×C71—81no—
883C2×C71#348811yescharacteristic
884C2×C71C2×#57511yescharacteristic
885C2×C71#358411yescharacteristic
886#3514C2×C7111yescharacteristic, complemented
887#3480C2×C7111yescharacteristic, complemented
888#3403C2×C7111yescharacteristic, complemented
889#3401C2×C7111yescharacteristic, complemented
890#3377C2×C7111yescharacteristic, complemented
891#3371C2×C7111yescharacteristic, complemented
892#3320C2×C7111yescharacteristic, complemented
893#3318C2×C7111yescharacteristic, complemented
894#3313C2×C7111yescharacteristic, complemented
895#3311C2×C7111yescharacteristic, complemented
896#3301C2×C7111yescharacteristic, complemented
897#3297C2×C7111yescharacteristic, complemented
898#3285C2×C7111yescharacteristic, complemented
899#3282C2×C7111yescharacteristic, complemented
900#3271C2×C7111yescharacteristic, complemented
901#3270C2×C7111yescharacteristic, complemented
902#3268C2×C7111yescharacteristic, complemented
903#3265C2×C7111yescharacteristic, complemented
904#3256C2×C7111yescharacteristic, complemented
905#3250C2×C7111yescharacteristic, complemented
906#3247C2×C7111yescharacteristic, complemented
907#3219C2×C7111yescharacteristic, complemented
908#3213C2×C7111yescharacteristic, complemented
909#3211C2×C7111yescharacteristic, complemented
910#3117C2×C7111yescharacteristic, complemented
911#3111C2×C7111yescharacteristic, complemented
912#3102C2×C7111yescharacteristic, complemented
913#3040C2×C7111yescharacteristic, complemented
914#3035C2×C7111yescharacteristic, complemented
915C2×#464C2×C7111yescharacteristic, complemented
916#2990C2×C7111yescharacteristic, complemented
917C71#6199211yescharacteristic, direct product factor, Sylow
918C2×#137C22×C7111yescharacteristic, complemented
919C2×AGL(1,ℤ/8)C22×C7111yescharacteristic
920C2×#135C22×C7111yescharacteristic, complemented
921C2×#135C22×C7111yescharacteristic, complemented
922C22×Q16C22×C7111yescharacteristic, complemented
923C22×SD16C22×C7111yescharacteristic
924#559—21no—
925#559C22×C7111yescharacteristic
926#559C22×C7111yescharacteristic, complemented
927#557C22×C7111yescharacteristic, complemented
928#556—21no—
929#556C22×C7111yescharacteristic
930#556C22×C7111yescharacteristic, complemented
931#555—21no—
932#553—21no—
933#553—21no—
934#553C22×C7111yescharacteristic
935#553C22×C7111yescharacteristic, complemented
936#551—21no—
937#551—21no—
938#550C22×C7111yescharacteristic, complemented
939D4×Q8C22×C7111yescharacteristic
940#548C22×C7111yescharacteristic
941#548C22×C7111yescharacteristic
942#548C22×C7111yescharacteristic
943#548C22×C7111yescharacteristic, complemented
944#546—21no—
945#546C22×C7111yescharacteristic
946#546C22×C7111yescharacteristic
947D42C22×C7111yescharacteristic
948#542—21no—
949#538—21no—
950#538—21no—
951#532—21no—
952#532C22×C7111yescharacteristic
953#532C22×C7111yescharacteristic, complemented
954#529—21no—
955#529—21no—
956#529C22×C7111yescharacteristic
957#529C22×C7111yescharacteristic
958#529C22×C7111yescharacteristic
959#529C22×C7111yescharacteristic, complemented
960#529C22×C7111yescharacteristic, complemented
961C2×#124C22×C7111yescharacteristic
962C2×#124C22×C7111yescharacteristic
963#518—21no—
964C4×#41—21no—
965C4×#41C22×C7111yescharacteristic
966C4×#41C22×C7111yescharacteristic, complemented
967C4×#41C22×C7111yescharacteristic, complemented
968C2×C4×Q8C22×C7111yescharacteristic, complemented
969#497C22×C7111yescharacteristic, complemented
970#496C22×C7111yescharacteristic
971#496C22×C7111yescharacteristic
972#496C22×C7111yescharacteristic, complemented
973#495C22×C7111yescharacteristic
974#495C22×C7111yescharacteristic, complemented
975#491C22×C7111yescharacteristic, complemented
976#490C22×C7111yescharacteristic
977#489C22×C7111yescharacteristic
978#489C22×C7111yescharacteristic, complemented
979#488C22×C7111yescharacteristic
980#488C22×C7111yescharacteristic, complemented
981#485C22×C7111yescharacteristic, complemented
982#485C22×C7111yescharacteristic, complemented
983#484C22×C7111yescharacteristic, complemented
984#482C22×C7111yescharacteristic
985#482C22×C7111yescharacteristic
986#481C22×C7111yescharacteristic
987#479C22×C7111yescharacteristic, complemented
988#479C22×C7111yescharacteristic, complemented
989#479C22×C7111yescharacteristic, complemented
990#479C22×C7111yescharacteristic, complemented
991#478C22×C7111yescharacteristic
992#478C22×C7111yescharacteristic, complemented
993#478C22×C7111yescharacteristic, complemented
994#478C22×C7111yescharacteristic, complemented
995#477C22×C7111yescharacteristic, complemented
996#476C22×C7111yescharacteristic, complemented
997#470C22×C7111yescharacteristic, complemented
998#469C22×C7111yescharacteristic
999#468C22×C7111yescharacteristic
1000#468C22×C7111yescharacteristic, complemented
1001#467C22×C7111yescharacteristic, complemented
1002#466C22×C7111yescharacteristic
1003#466C22×C7111yescharacteristic
1004#466C22×C7111yescharacteristic
1005#465C22×C7111yescharacteristic
1006#465C22×C7111yescharacteristic, complemented
1007#465C22×C7111yescharacteristic, complemented
1008#465C22×C7111yescharacteristic, complemented
1009#464C22×C7111yescharacteristic
1010#464C22×C7111yescharacteristic
1011#464C22×C7111yescharacteristic
1012#464C22×C7111yescharacteristic
1013#464C22×C7111yescharacteristic
1014#464C22×C7111yescharacteristic, complemented
1015#464C22×C7111yescharacteristic, complemented
1016#464C22×C7111yescharacteristic, complemented
1017#464C22×C7111yescharacteristic, complemented
1018#464C22×C7111yescharacteristic, complemented
1019#464C22×C7111yescharacteristic, complemented
1020#464C22×C7111yescharacteristic, complemented
1021#464C22×C7111yescharacteristic, complemented
1022#464C22×C7111yescharacteristic, complemented
1023#463C22×C7111yescharacteristic
1024#463C22×C7111yescharacteristic
1025#463C22×C7111yescharacteristic
1026#463C22×C7111yescharacteristic
1027#463C22×C7111yescharacteristic, complemented
1028#463C22×C7111yescharacteristic, complemented
1029#463C22×C7111yescharacteristic, complemented
1030#463C22×C7111yescharacteristic, complemented
1031#463C22×C7111yescharacteristic, complemented
1032#463C22×C7111yescharacteristic, complemented
1033#462C22×C7111yescharacteristic, complemented
1034#461C22×C7111yescharacteristic, complemented
1035#460C22×C7111yescharacteristic
1036#460C22×C7111yescharacteristic, complemented
1037#459C22×C7111yescharacteristic
1038#459C22×C7111yescharacteristic, complemented
1039#452C22×C7111yescharacteristic, complemented
1040#452C22×C7111yescharacteristic, complemented
1041#452C22×C7111yescharacteristic, complemented
1042#452C22×C7111yescharacteristic, complemented
1043#451C22×C7111yescharacteristic, complemented
1044#451C22×C7111yescharacteristic, complemented
1045#450C22×C7111yescharacteristic
1046#449C22×C7111yescharacteristic
1047#449C22×C7111yescharacteristic
1048#449C22×C7111yescharacteristic, complemented
1049#449C22×C7111yescharacteristic, complemented
1050#448C22×C7111yescharacteristic
1051#448C22×C7111yescharacteristic, complemented
1052#448C22×C7111yescharacteristic, complemented
1053#448C22×C7111yescharacteristic, complemented
1054#447C22×C7111yescharacteristic
1055#447C22×C7111yescharacteristic
1056#447C22×C7111yescharacteristic
1057#446C22×C7111yescharacteristic, complemented
1058#446C22×C7111yescharacteristic, complemented
1059#442C22×C7111yescharacteristic
1060#441C22×C7111yescharacteristic, complemented
1061#441C22×C7111yescharacteristic, complemented
1062#441C22×C7111yescharacteristic, complemented
1063#440C22×C7111yescharacteristic
1064#440C22×C7111yescharacteristic, complemented
1065#440C22×C7111yescharacteristic, complemented
1066#440C22×C7111yescharacteristic, complemented
1067C4×Q16C22×C7111yescharacteristic, complemented
1068C4×SD16C22×C7111yescharacteristic, complemented
1069C4×SD16C22×C7111yescharacteristic, complemented
1070C4×D8C22×C7111yescharacteristic, complemented
1071#435C22×C7111yescharacteristic
1072#435C22×C7111yescharacteristic
1073#435C22×C7111yescharacteristic, complemented
1074#435C22×C7111yescharacteristic, complemented
1075C8×D4C22×C7111yescharacteristic, complemented
1076C8×D4C22×C7111yescharacteristic, complemented
1077#432C22×C7111yescharacteristic, complemented
1078#432C22×C7111yescharacteristic, complemented
1079#431C22×C7111yescharacteristic, complemented
1080#423C22×C7111yescharacteristic, complemented
1081C2×C4⋊C8C22×C7111yescharacteristic, complemented
1082C2×C4⋊C8C22×C7111yescharacteristic, complemented
1083#419C22×C7111yescharacteristic, complemented
1084#418C22×C7111yescharacteristic
1085#416C22×C7111yescharacteristic, complemented
1086#416C22×C7111yescharacteristic, complemented
1087C2×#103C22×C7111yescharacteristic, complemented
1088C2×#102C22×C7111yescharacteristic
1089C2×#41—21no—
1090C2×#41D4×C7111yescharacteristic
1091C2×#41C23×C7111yescharacteristic
1092C2×#41C23×C7111yescharacteristic
1093C2×#41C23×C7111yescharacteristic
1094C2×#41C23×C7111yescharacteristic
1095C22×Q8C23×C7111yescharacteristic
1096C22×Q8C23×C7111yescharacteristic
1097C22×Q8C23×C7111yescharacteristic
1098C22×D4—21no—
1099C22×D4C23×C7111yescharacteristic
1100C22×D4C23×C7111yescharacteristic
1101#137—42no—
1102AGL(1,ℤ/8)—42no—
1103#135—42no—
1104#135—42no—
1105C2×Q16—42no—
1106C2×Q16C23×C7111yescharacteristic
1107C2×Q16C23×C7111yescharacteristic
1108C2×Q16C23×C7111yescharacteristic
1109C2×Q16C23×C7111yescharacteristic
1110C2×Q16C23×C7111yescharacteristic
1111C2×Q16C23×C7111yescharacteristic
1112C2×SD16—42no—
1113C2×SD16C23×C7111yescharacteristic
1114C2×SD16C23×C7111yescharacteristic
1115C2×SD16C23×C7111yescharacteristic
1116C2×SD16C23×C7111yescharacteristic
1117C2×SD16C23×C7111yescharacteristic
1118C2×SD16C23×C7111yescharacteristic
1119C2×SD16C23×C7111yescharacteristic
1120C2×SD16C23×C7111yescharacteristic
1121C2×SD16C23×C7111yescharacteristic
1122C2×SD16C23×C7111yescharacteristic
1123C2×SD16C23×C7111yescharacteristic
1124C2×SD16C23×C7111yescharacteristic
1125C2×D8C23×C7111yescharacteristic
1126C2×D8C23×C7111yescharacteristic
1127C2×D8C23×C7111yescharacteristic
1128C2×D8C23×C7111yescharacteristic
1129C2×D8C23×C7111yescharacteristic
1130C2×D8C23×C7111yescharacteristic
1131C2×M16C23×C7111yescharacteristic
1132C2×M16C23×C7111yescharacteristic
1133C22×C8C23×C7111yescharacteristic
1134C22×C8C23×C7111yescharacteristic
1135C22×C8C23×C7111yescharacteristic
1136C22×C8C23×C7111yescharacteristic
1137C4⋊Q8—21no—
1138C4⋊Q8—21no—
1139C4⋊Q8C23×C7111yescharacteristic
1140C4⋊Q8C23×C7111yescharacteristic
1141#127—21no—
1142#127C23×C7111yescharacteristic
1143#127C23×C7111yescharacteristic
1144#126—21no—
1145#126—21no—
1146#126—21no—
1147#126—21no—
1148#126—21no—
1149#126—21no—
1150#126—21no—
1151#126—21no—
1152#126—21no—
1153#126—21no—
1154#126—21no—
1155#125—21no—
1156#125—21no—
1157#125C23×C7111yescharacteristic
1158#125C23×C7111yescharacteristic
1159#125C23×C7111yescharacteristic
1160#124—21no—
1161#124—21no—
1162#124—21no—
1163#124—21no—
1164#124—21no—
1165#124—21no—
1166#124—21no—
1167#124—21no—
1168#124—21no—
1169#124—21no—
1170#124—21no—
1171#124—21no—
1172#124C23×C7111yescharacteristic
1173#124C23×C7111yescharacteristic
1174#124C23×C7111yescharacteristic
1175#124C23×C7111yescharacteristic
1176#124C23×C7111yescharacteristic
1177#124C23×C7111yescharacteristic
1178#124C23×C7111yescharacteristic
1179#124C23×C7111yescharacteristic
1180#124C23×C7111yescharacteristic
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8C23×C7111yescharacteristic
1202C22⋊Q8C23×C7111yescharacteristic
1203C22⋊Q8C23×C7111yescharacteristic
1204C22⋊Q8C23×C7111yescharacteristic
1205C22⋊Q8C23×C7111yescharacteristic
1206#121—21no—
1207#121—21no—
1208#121—21no—
1209#121—21no—
1210#121—21no—
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121—21no—
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121C23×C7111yescharacteristic
1221#121C23×C7111yescharacteristic
1222#121C23×C7111yescharacteristic
1223#121C23×C7111yescharacteristic
1224#121C23×C7111yescharacteristic
1225#121C23×C7111yescharacteristic
1226#121C23×C7111yescharacteristic
1227#120—21no—
1228#120—21no—
1229#120—21no—
1230#120—21no—
1231C4×Q8—21no—
1232C4×Q8—21no—
1233C4×Q8—21no—
1234C4×Q8—21no—
1235C4×Q8D4×C7111yescharacteristic
1236C4×Q8C23×C7111yescharacteristic
1237C4×Q8C23×C7111yescharacteristic
1238C4×Q8C23×C7111yescharacteristic
1239C4×Q8C23×C7111yescharacteristic
1240C4×Q8C23×C7111yescharacteristic
1241C4×Q8C23×C7111yescharacteristic
1242C4×Q8C23×C7111yescharacteristic
1243C4×Q8C23×C7111yescharacteristic
1244C4×Q8C23×C7111yescharacteristic
1245C4×Q8C23×C7111yescharacteristic
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4—21no—
1251C4×D4—21no—
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—21no—
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4—21no—
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4D4×C7111yescharacteristic
1269C4×D4D4×C7111yescharacteristic
1270C4×D4D4×C7111yescharacteristic
1271C4×D4C23×C7111yescharacteristic
1272C4×D4C23×C7111yescharacteristic
1273C4×D4C23×C7111yescharacteristic
1274C4×D4C23×C7111yescharacteristic
1275C4×D4C23×C7111yescharacteristic
1276C4×D4C23×C7111yescharacteristic
1277C4×D4C23×C7111yescharacteristic
1278C4×D4C23×C7111yescharacteristic
1279C4×D4C23×C7111yescharacteristic
1280C4×D4C23×C7111yescharacteristic
1281#117—21no—
1282#117—21no—
1283#117—21no—
1284#117—21no—
1285#117—21no—
1286#117—21no—
1287#117—21no—
1288#117—21no—
1289#117D4×C7111yescharacteristic
1290#117D4×C7111yescharacteristic
1291#117D4×C7111yescharacteristic
1292#117C23×C7111yescharacteristic
1293#117C23×C7111yescharacteristic
1294C2×C4⋊C4—21no—
1295C2×C4⋊C4C23×C7111yescharacteristic
1296C2×C22⋊C4—21no—
1297C2×C22⋊C4—21no—
1298C2×C22⋊C4—21no—
1299C2×C22⋊C4—21no—
1300C2×C22⋊C4—21no—
1301C2×C22⋊C4—21no—
1302C2×C42—21no—
1303C2×C42—21no—
1304C2×C42—21no—
1305C2×C42C23×C7111yescharacteristic
1306C2×C42C23×C7111yescharacteristic
1307C2×C42C23×C7111yescharacteristic
1308#107C23×C7111yescharacteristic
1309#107C23×C7111yescharacteristic
1310#107C23×C7111yescharacteristic
1311#107C23×C7111yescharacteristic
1312#106C23×C7111yescharacteristic
1313#106C23×C7111yescharacteristic
1314#106C23×C7111yescharacteristic
1315#106C23×C7111yescharacteristic
1316C4⋊C8C23×C7111yescharacteristic
1317C4⋊C8C23×C7111yescharacteristic
1318C4⋊C8C23×C7111yescharacteristic
1319C4⋊C8C23×C7111yescharacteristic
1320C4⋊C8C23×C7111yescharacteristic
1321C4⋊C8C23×C7111yescharacteristic
1322C4⋊C8C23×C7111yescharacteristic
1323C4⋊C8C23×C7111yescharacteristic
1324C4⋊C8C23×C7111yescharacteristic
1325C4⋊C8C23×C7111yescharacteristic
1326#103C23×C7111yescharacteristic
1327#103C23×C7111yescharacteristic
1328#103C23×C7111yescharacteristic
1329#103C23×C7111yescharacteristic
1330#103C23×C7111yescharacteristic
1331#103C23×C7111yescharacteristic
1332#103C23×C7111yescharacteristic
1333#103C23×C7111yescharacteristic
1334#103C23×C7111yescharacteristic
1335#103C23×C7111yescharacteristic
1336#103C23×C7111yescharacteristic
1337#103C23×C7111yescharacteristic
1338#103C23×C7111yescharacteristic
1339#103C23×C7111yescharacteristic
1340#103C23×C7111yescharacteristic
1341#103C23×C7111yescharacteristic
1342#102C23×C7111yescharacteristic
1343#102C23×C7111yescharacteristic
1344#102C23×C7111yescharacteristic
1345#102C23×C7111yescharacteristic
1346#102C23×C7111yescharacteristic
1347#102C23×C7111yescharacteristic
1348#102C23×C7111yescharacteristic
1349#102C23×C7111yescharacteristic
1350#102C23×C7111yescharacteristic
1351#102C23×C7111yescharacteristic
1352#102C23×C7111yescharacteristic
1353#102C23×C7111yescharacteristic
1354#102C23×C7111yescharacteristic
1355#102C23×C7111yescharacteristic
1356#102C23×C7111yescharacteristic
1357#102C23×C7111yescharacteristic
1358C22⋊C8C23×C7111yescharacteristic
1359C22⋊C8C23×C7111yescharacteristic
1360C22⋊C8C23×C7111yescharacteristic
1361C22⋊C8C23×C7111yescharacteristic
1362C22⋊C8C23×C7111yescharacteristic
1363C22⋊C8C23×C7111yescharacteristic
1364#97C23×C7111yescharacteristic
1365#97C23×C7111yescharacteristic
1366#97C23×C7111yescharacteristic
1367#97C23×C7111yescharacteristic
1368C4×C8C23×C7111yescharacteristic
1369C4×C8C23×C7111yescharacteristic
1370C24—21no—
1371C24—21no—
1372#41—22no—
1373#41—22no—
1374#41—42no—
1375#41—41no—
1376#41—41no—
1377#41—44no—
1378#41—41no—
1379#41—41no—
1380#41—41no—
1381#41—41no—
1382C2×Q8—21no—
1383C2×Q8—21no—
1384C2×Q8—21no—
1385C2×Q8—21no—
1386C2×Q8—22no—
1387C2×Q8—41no—
1388C2×Q8—41no—
1389C2×Q8—41no—
1390C2×Q8—41no—
1391C2×Q8—41no—
1392C2×Q8C2×D4×C7111yescharacteristic
1393C2×Q8C24×C7111yescharacteristic
1394C2×Q8C24×C7111yescharacteristic
1395C2×Q8C24×C7111yescharacteristic
1396C2×Q8C24×C7111yescharacteristic
1397C2×Q8C24×C7111yescharacteristic
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—44no—
1420C2×D4C2×D4×C7111yescharacteristic
1421C2×D4C2×D4×C7111yescharacteristic
1422C2×D4C2×D4×C7111yescharacteristic
1423C2×D4C24×C7111yescharacteristic
1424C2×D4C24×C7111yescharacteristic
1425C2×D4C24×C7111yescharacteristic
1426C2×D4C24×C7111yescharacteristic
1427C2×D4C24×C7111yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4C2×D4×C7111yescharacteristic
1444C22×C4C2×D4×C7111yescharacteristic
1445C22×C4C2×D4×C7111yescharacteristic
1446C22×C4C2×D4×C7111yescharacteristic
1447C22×C4C2×D4×C7111yescharacteristic
1448C22×C4C2×D4×C7111yescharacteristic
1449C22×C4C24×C7111yescharacteristic
1450C22×C4C24×C7111yescharacteristic
1451C22×C4C24×C7111yescharacteristic
1452Q16—22no—
1453Q16—22no—
1454Q16—22no—
1455Q16—41no—
1456Q16—41no—
1457Q16—41no—
1458SD16—22no—
1459SD16—22no—
1460SD16—22no—
1461SD16—41no—
1462SD16—41no—
1463SD16—41no—
1464SD16—41no—
1465SD16—41no—
1466SD16—41no—
1467SD16—41no—
1468SD16—41no—
1469SD16—41no—
1470D8—41no—
1471D8—41no—
1472D8—41no—
1473D8—41no—
1474D8—41no—
1475D8—41no—
1476M16—41no—
1477M16—41no—
1478C2×C8—41no—
1479C2×C8—41no—
1480C2×C8—41no—
1481C2×C8—41no—
1482C2×C8C24×C7111yescharacteristic
1483C2×C8C24×C7111yescharacteristic
1484C2×C8C24×C7111yescharacteristic
1485C2×C8C24×C7111yescharacteristic
1486C2×C8C24×C7111yescharacteristic
1487C2×C8C24×C7111yescharacteristic
1488C2×C8C24×C7111yescharacteristic
1489C2×C8C24×C7111yescharacteristic
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4C2×D4×C7111yescharacteristic
1515C4⋊C4C2×D4×C7111yescharacteristic
1516C4⋊C4C2×D4×C7111yescharacteristic
1517C4⋊C4C2×D4×C7111yescharacteristic
1518C4⋊C4C2×D4×C7111yescharacteristic
1519C4⋊C4C2×D4×C7111yescharacteristic
1520C4⋊C4C24×C7111yescharacteristic
1521C4⋊C4C24×C7111yescharacteristic
1522C4⋊C4C24×C7111yescharacteristic
1523C4⋊C4C24×C7111yescharacteristic
1524C4⋊C4C24×C7111yescharacteristic
1525C4⋊C4C24×C7111yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4C2×D4×C7111yescharacteristic
1566C22⋊C4C2×D4×C7111yescharacteristic
1567C22⋊C4C2×D4×C7111yescharacteristic
1568C22⋊C4C2×D4×C7111yescharacteristic
1569C22⋊C4C2×D4×C7111yescharacteristic
1570C22⋊C4C2×D4×C7111yescharacteristic
1571C42—21no—
1572C42—21no—
1573C42—21no—
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—21no—
1579C42—21no—
1580C42—21no—
1581C42—21no—
1582C42C2×D4×C7111yescharacteristic
1583C42C2×D4×C7111yescharacteristic
1584C42C2×D4×C7111yescharacteristic
1585C42C2×D4×C7111yescharacteristic
1586C42C2×D4×C7111yescharacteristic
1587C42C2×D4×C7111yescharacteristic
1588C42C24×C7111yescharacteristic
1589C42C24×C7111yescharacteristic
1590C42C24×C7111yescharacteristic
1591C42C24×C7111yescharacteristic
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—42no—
1598C23—42no—
1599C23—81no—
1600C23—81no—
1601C23—81no—
1602C23—81no—
1603C23C22×D4×C7111yescharacteristic
1604C23C22×D4×C7111yescharacteristic
1605C23C22×D4×C7111yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—41no—
1616Q8—42no—
1617Q8—42no—
1618Q8—81no—
1619Q8—81no—
1620Q8H(5,𝔽2)×C7112yes—
1621D4—22no—
1622D4—22no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—41no—
1634D4—42no—
1635D4—42no—
1636D4—42no—
1637D4—42no—
1638D4—42no—
1639D4—42no—
1640D4—42no—
1641D4—42no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—42no—
1675C2×C4—42no—
1676C2×C4—42no—
1677C2×C4—42no—
1678C2×C4—42no—
1679C2×C4—42no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4C22×D4×C7111yescharacteristic
1690C2×C4C22×D4×C7111yescharacteristic
1691C2×C4C22×D4×C7111yescharacteristic
1692C2×C4C22×D4×C7111yescharacteristic
1693C2×C4C22×D4×C7111yescharacteristic
1694C2×C4C22×D4×C7111yescharacteristic
1695C2×C4C22×D4×C7111yescharacteristic
1696C2×C4C22×D4×C7111yescharacteristic
1697C2×C4C22×D4×C7111yescharacteristic
1698C2×C4C22×D4×C7111yescharacteristic
1699C2×C4C22×D4×C7111yescharacteristic
1700C2×C4C25×C7111yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—21no—
1707C8—21no—
1708C8—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—162no—
1733C22—162no—
1734C22#575×C7112yes—
1735C22C23×D4×C7111yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4C2×H(5,𝔽2)×C7111yescharacteristic
1759C4#585×C7111yescharacteristic
1760C2—22no—
1761C2—41no—
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—81no—
1768C2C71×#348811yescharacteristic
1769C2C2×#575×C7111yescharacteristic
1770C2C71×#358411yescharacteristic
subgroupG/H
center, socleC22×C71C23×D4
commutator, Frattini, cosocleC2×C4C25×C71
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C71 ◁ C4×#41×C71 ◁ G

Complements

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

NH ≅ G/Ntype
1. C71×#3514C2semidirect
2. C71×#3480C2semidirect
3. C71×#3403C2semidirect
4. C71×#3401C2semidirect
5. C71×#3377C2semidirect
6. C71×#3371C2semidirect
7. C71×#3320C2semidirect
8. C71×#3318C2semidirect
9. C71×#3313C2semidirect
10. C71×#3311C2semidirect
11. C71×#3301C2semidirect
12. C71×#3297C2semidirect
13. C71×#3285C2semidirect
14. C71×#3282C2semidirect
15. C71×#3271C2semidirect
16. C71×#3270C2semidirect
17. C71×#3268C2semidirect
18. C71×#3265C2semidirect
19. C71×#3256C2semidirect
20. C71×#3250C2semidirect
21. C71×#3247C2semidirect
22. C71×#3219C2semidirect
23. C71×#3213C2semidirect
24. C71×#3211C2semidirect
25. C71×#3117C2semidirect
26. C71×#3111C2semidirect
27. C71×#3102C2semidirect
28. C71×#3040C2semidirect
29. C71×#3035C2semidirect
30. C2×#464×C71C2semidirect
31. C71×#2990C2semidirect
32. C2×#137×C71C22semidirect
34. C2×#135×C71C22semidirect
35. C2×#135×C71C22semidirect
36. C22×Q16×C71C22semidirect
40. #559×C71C22semidirect
41. #557×C71C22semidirect
44. #556×C71C22semidirect
49. #553×C71C22semidirect
52. #550×C71C22semidirect
57. #548×C71C22semidirect
67. #532×C71C22semidirect
73. #529×C71C22semidirect
74. #529×C71C22semidirect
80. C4×#41×C71C22semidirect
81. C4×#41×C71C22semidirect
82. C2×C4×Q8×C71C22semidirect
83. #497×C71C22semidirect
86. #496×C71C22semidirect
88. #495×C71C22semidirect
89. #491×C71C22semidirect
92. #489×C71C22semidirect
94. #488×C71C22semidirect
95. #485×C71C22semidirect
96. #485×C71C22semidirect
97. #484×C71C22semidirect
101. #479×C71C22semidirect
102. #479×C71C22semidirect
103. #479×C71C22semidirect
104. #479×C71C22semidirect
106. #478×C71C22semidirect
107. #478×C71C22semidirect
108. #478×C71C22semidirect
109. #477×C71C22semidirect
110. #476×C71C22semidirect
111. #470×C71C22semidirect
114. #468×C71C22semidirect
115. #467×C71C22semidirect
120. #465×C71C22semidirect
121. #465×C71C22semidirect
122. #465×C71C22semidirect
128. #464×C71C22semidirect
129. #464×C71C22semidirect
130. #464×C71C22semidirect
131. #464×C71C22semidirect
132. #464×C71C22semidirect
133. #464×C71C22semidirect
134. #464×C71C22semidirect
135. #464×C71C22semidirect
136. #464×C71C22semidirect
141. #463×C71C22semidirect
142. #463×C71C22semidirect
143. #463×C71C22semidirect
144. #463×C71C22semidirect
145. #463×C71C22semidirect
146. #463×C71C22semidirect
147. #462×C71C22semidirect
148. #461×C71C22semidirect
150. #460×C71C22semidirect
152. #459×C71C22semidirect
153. #452×C71C22semidirect
154. #452×C71C22semidirect
155. #452×C71C22semidirect
156. #452×C71C22semidirect
157. #451×C71C22semidirect
158. #451×C71C22semidirect
162. #449×C71C22semidirect
163. #449×C71C22semidirect
165. #448×C71C22semidirect
166. #448×C71C22semidirect
167. #448×C71C22semidirect
171. #446×C71C22semidirect
172. #446×C71C22semidirect
174. #441×C71C22semidirect
175. #441×C71C22semidirect
176. #441×C71C22semidirect
178. #440×C71C22semidirect
179. #440×C71C22semidirect
180. #440×C71C22semidirect
181. C4×Q16×C71C22semidirect
182. C4×SD16×C71C22semidirect
183. C4×SD16×C71C22semidirect
184. C4×D8×C71C22semidirect
187. #435×C71C22semidirect
188. #435×C71C22semidirect
189. C8×D4×C71C22semidirect
190. C8×D4×C71C22semidirect
191. #432×C71C22semidirect
192. #432×C71C22semidirect
193. #431×C71C22semidirect
194. #423×C71C22semidirect
195. C2×C4⋊C8×C71C22semidirect
196. C2×C4⋊C8×C71C22semidirect
197. #419×C71C22semidirect
199. #416×C71C22semidirect
200. #416×C71C22semidirect
201. C2×#103×C71C22semidirect
874. #61992C71direct (N × H)
886. #3514C2×C71semidirect
887. #3480C2×C71semidirect
888. #3403C2×C71semidirect
889. #3401C2×C71semidirect
890. #3377C2×C71semidirect
891. #3371C2×C71semidirect
892. #3320C2×C71semidirect
893. #3318C2×C71semidirect
894. #3313C2×C71semidirect
895. #3311C2×C71semidirect
896. #3301C2×C71semidirect
897. #3297C2×C71semidirect
898. #3285C2×C71semidirect
899. #3282C2×C71semidirect
900. #3271C2×C71semidirect
901. #3270C2×C71semidirect
902. #3268C2×C71semidirect
903. #3265C2×C71semidirect
904. #3256C2×C71semidirect
905. #3250C2×C71semidirect
906. #3247C2×C71semidirect
907. #3219C2×C71semidirect
908. #3213C2×C71semidirect
909. #3211C2×C71semidirect
910. #3117C2×C71semidirect
911. #3111C2×C71semidirect
912. #3102C2×C71semidirect
913. #3040C2×C71semidirect
914. #3035C2×C71semidirect
915. C2×#464C2×C71semidirect
916. #2990C2×C71semidirect
917. C71#61992direct (N × H)
918. C2×#137C22×C71semidirect
920. C2×#135C22×C71semidirect
921. C2×#135C22×C71semidirect
922. C22×Q16C22×C71semidirect
926. #559C22×C71semidirect
927. #557C22×C71semidirect
930. #556C22×C71semidirect
935. #553C22×C71semidirect
938. #550C22×C71semidirect
943. #548C22×C71semidirect
953. #532C22×C71semidirect
959. #529C22×C71semidirect
960. #529C22×C71semidirect
966. C4×#41C22×C71semidirect
967. C4×#41C22×C71semidirect
968. C2×C4×Q8C22×C71semidirect
969. #497C22×C71semidirect
972. #496C22×C71semidirect
974. #495C22×C71semidirect
975. #491C22×C71semidirect
978. #489C22×C71semidirect
980. #488C22×C71semidirect
981. #485C22×C71semidirect
982. #485C22×C71semidirect
983. #484C22×C71semidirect
987. #479C22×C71semidirect
988. #479C22×C71semidirect
989. #479C22×C71semidirect
990. #479C22×C71semidirect
992. #478C22×C71semidirect
993. #478C22×C71semidirect
994. #478C22×C71semidirect
995. #477C22×C71semidirect
996. #476C22×C71semidirect
997. #470C22×C71semidirect
1000. #468C22×C71semidirect
1001. #467C22×C71semidirect
1006. #465C22×C71semidirect
1007. #465C22×C71semidirect
1008. #465C22×C71semidirect
1014. #464C22×C71semidirect
1015. #464C22×C71semidirect
1016. #464C22×C71semidirect
1017. #464C22×C71semidirect
1018. #464C22×C71semidirect
1019. #464C22×C71semidirect
1020. #464C22×C71semidirect
1021. #464C22×C71semidirect
1022. #464C22×C71semidirect
1027. #463C22×C71semidirect
1028. #463C22×C71semidirect
1029. #463C22×C71semidirect
1030. #463C22×C71semidirect
1031. #463C22×C71semidirect
1032. #463C22×C71semidirect
1033. #462C22×C71semidirect
1034. #461C22×C71semidirect
1036. #460C22×C71semidirect
1038. #459C22×C71semidirect
1039. #452C22×C71semidirect
1040. #452C22×C71semidirect
1041. #452C22×C71semidirect
1042. #452C22×C71semidirect
1043. #451C22×C71semidirect
1044. #451C22×C71semidirect
1048. #449C22×C71semidirect
1049. #449C22×C71semidirect
1051. #448C22×C71semidirect
1052. #448C22×C71semidirect
1053. #448C22×C71semidirect
1057. #446C22×C71semidirect
1058. #446C22×C71semidirect
1060. #441C22×C71semidirect
1061. #441C22×C71semidirect
1062. #441C22×C71semidirect
1064. #440C22×C71semidirect
1065. #440C22×C71semidirect
1066. #440C22×C71semidirect
1067. C4×Q16C22×C71semidirect
1068. C4×SD16C22×C71semidirect
1069. C4×SD16C22×C71semidirect
1070. C4×D8C22×C71semidirect
1073. #435C22×C71semidirect
1074. #435C22×C71semidirect
1075. C8×D4C22×C71semidirect
1076. C8×D4C22×C71semidirect
1077. #432C22×C71semidirect
1078. #432C22×C71semidirect
1079. #431C22×C71semidirect
1080. #423C22×C71semidirect
1081. C2×C4⋊C8C22×C71semidirect
1082. C2×C4⋊C8C22×C71semidirect
1083. #419C22×C71semidirect
1085. #416C22×C71semidirect
1086. #416C22×C71semidirect
1087. C2×#103C22×C71semidirect

Maximal subgroups

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

subgroupindex
C71×#35142
C71×#34802
C71×#34032
C71×#34012
C71×#33772
C71×#33712
C71×#33202
C71×#33182
C71×#33132
C71×#33112
C71×#33012
C71×#32972
C71×#32852
C71×#32822
C71×#32712
C71×#32702
C71×#32682
C71×#32652
C71×#32562
C71×#32502
C71×#32472
C71×#32192
C71×#32132
C71×#32112
C71×#31172
C71×#31112
C71×#31022
C71×#30402
C71×#30352
C2×#464×C712
C71×#29902
#6199271