Finite Group Databasebeta

← C71×#62156 #31883028

Subgroups — C71×#62156 #31883028

Order 18176.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C71×#3552C211yesmaximal, characteristic, complemented
2C71×#3513C211yesmaximal, characteristic, complemented
3C71×#3388C211yesmaximal, characteristic, complemented
4C71×#3384C211yesmaximal, characteristic, complemented
5C71×#3373C211yesmaximal, characteristic, complemented
6C71×#3371C211yesmaximal, characteristic, complemented
7C71×#3350C211yesmaximal, characteristic, complemented
8C71×#3345C211yesmaximal, characteristic, complemented
9C71×#3345C211yesmaximal, characteristic, complemented
10C71×#3344C211yesmaximal, characteristic, complemented
11C71×#3337C211yesmaximal, characteristic, complemented
12C71×#3335C211yesmaximal, characteristic, complemented
13C71×#3318C211yesmaximal, characteristic, complemented
14C71×#3314C211yesmaximal, characteristic, complemented
15C71×#3311C211yesmaximal, characteristic, complemented
16C71×#3306C211yesmaximal, characteristic, complemented
17C71×#3297C211yesmaximal, characteristic, complemented
18C71×#3295C211yesmaximal, characteristic, complemented
19C71×#3263C211yesmaximal, characteristic, complemented
20C71×#3257C211yesmaximal, characteristic, complemented
21C71×#3250C211yesmaximal, characteristic, complemented
22C71×#3244C211yesmaximal, characteristic, complemented
23C71×#3241C211yesmaximal, characteristic, complemented
24C71×#3239C211yesmaximal, characteristic, complemented
25C71×#3125C211yesmaximal, characteristic, complemented
26C71×#3118C211yesmaximal, characteristic, complemented
27C71×#3114C211yesmaximal, characteristic, complemented
28C71×#3084C211yesmaximal, characteristic, complemented
29C71×#3081C211yesmaximal, characteristic, complemented
30C2×#476×C71C211yesmaximal, characteristic, complemented
31C71×#2992C211yesmaximal, characteristic, complemented
32#563×C71—21no—
33#563×C71—21no—
34#559×C71C2211yescharacteristic
35#557×C71C2211yescharacteristic, complemented
36#556×C71C2211yescharacteristic, complemented
37#554×C71C2211yescharacteristic
38#554×C71C2211yescharacteristic
39#554×C71C2211yescharacteristic, complemented
40#553×C71—21no—
41#553×C71C2211yescharacteristic
42#553×C71C2211yescharacteristic
43#553×C71C2211yescharacteristic, complemented
44#552×C71C2211yescharacteristic
45#551×C71—21no—
46#551×C71—21no—
47D4×Q8×C71—21no—
48D4×Q8×C71C2211yescharacteristic, complemented
49#548×C71—21no—
50#547×C71C2211yescharacteristic
51#547×C71C2211yescharacteristic, complemented
52#546×C71—21no—
53#546×C71C2211yescharacteristic
54#546×C71C2211yescharacteristic
55D42×C71C2211yescharacteristic
56#544×C71C2211yescharacteristic, complemented
57#544×C71C2211yescharacteristic, complemented
58#542×C71C2211yescharacteristic
59#542×C71C2211yescharacteristic, complemented
60#542×C71C2211yescharacteristic, complemented
61#541×C71—21no—
62#540×C71C2211yescharacteristic
63#539×C71—21no—
64#539×C71—21no—
65#539×C71—21no—
66#538×C71—21no—
67#536×C71—21no—
68C2×C4⋊Q8×C71C2211yescharacteristic, complemented
69#529×C71C2211yescharacteristic
70#529×C71C2211yescharacteristic
71#529×C71C2211yescharacteristic, complemented
72#525×C71—21no—
73C2×#123×C71—21no—
74#520×C71C2211yescharacteristic
75#518×C71C2211yescharacteristic
76C2×C4×D4×C71C2211yescharacteristic
77#501×C71C2211yescharacteristic, complemented
78#501×C71C2211yescharacteristic, complemented
79#501×C71C2211yescharacteristic, complemented
80#501×C71C2211yescharacteristic, complemented
81#499×C71C2211yescharacteristic, complemented
82#498×C71C2211yescharacteristic, complemented
83#490×C71C2211yescharacteristic
84#489×C71C2211yescharacteristic, complemented
85#489×C71C2211yescharacteristic, complemented
86#489×C71C2211yescharacteristic, complemented
87#488×C71C2211yescharacteristic, complemented
88#486×C71C2211yescharacteristic
89#485×C71C2211yescharacteristic, complemented
90#485×C71C2211yescharacteristic, complemented
91#484×C71C2211yescharacteristic, complemented
92#484×C71C2211yescharacteristic, complemented
93#483×C71C2211yescharacteristic, complemented
94#483×C71C2211yescharacteristic, complemented
95#483×C71C2211yescharacteristic, complemented
96#482×C71C2211yescharacteristic
97#482×C71C2211yescharacteristic, complemented
98#482×C71C2211yescharacteristic, complemented
99#482×C71C2211yescharacteristic, complemented
100#481×C71C2211yescharacteristic
101#481×C71C2211yescharacteristic
102#481×C71C2211yescharacteristic
103#481×C71C2211yescharacteristic, complemented
104#481×C71C2211yescharacteristic, complemented
105#480×C71C2211yescharacteristic, complemented
106#480×C71C2211yescharacteristic, complemented
107#479×C71C2211yescharacteristic, complemented
108#479×C71C2211yescharacteristic, complemented
109#479×C71C2211yescharacteristic, complemented
110#479×C71C2211yescharacteristic, complemented
111#478×C71C2211yescharacteristic
112#478×C71C2211yescharacteristic
113#478×C71C2211yescharacteristic
114#478×C71C2211yescharacteristic, complemented
115#478×C71C2211yescharacteristic, complemented
116#478×C71C2211yescharacteristic, complemented
117#478×C71C2211yescharacteristic, complemented
118#478×C71C2211yescharacteristic, complemented
119#476×C71C2211yescharacteristic
120#476×C71C2211yescharacteristic
121#476×C71C2211yescharacteristic
122#476×C71C2211yescharacteristic
123#476×C71C2211yescharacteristic
124#476×C71C2211yescharacteristic, complemented
125#476×C71C2211yescharacteristic, complemented
126#476×C71C2211yescharacteristic, complemented
127#476×C71C2211yescharacteristic, complemented
128#476×C71C2211yescharacteristic, complemented
129#476×C71C2211yescharacteristic, complemented
130#475×C71C2211yescharacteristic, complemented
131#475×C71C2211yescharacteristic, complemented
132#475×C71C2211yescharacteristic, complemented
133#475×C71C2211yescharacteristic, complemented
134#474×C71C2211yescharacteristic
135#474×C71C2211yescharacteristic, complemented
136#474×C71C2211yescharacteristic, complemented
137#470×C71C2211yescharacteristic, complemented
138#469×C71C2211yescharacteristic
139#469×C71C2211yescharacteristic, complemented
140#468×C71C2211yescharacteristic, complemented
141#467×C71C2211yescharacteristic, complemented
142#466×C71C2211yescharacteristic
143#466×C71C2211yescharacteristic, complemented
144#465×C71C2211yescharacteristic
145#465×C71C2211yescharacteristic
146#465×C71C2211yescharacteristic, complemented
147#465×C71C2211yescharacteristic, complemented
148#465×C71C2211yescharacteristic, complemented
149#464×C71C2211yescharacteristic, complemented
150#464×C71C2211yescharacteristic, complemented
151#464×C71C2211yescharacteristic, complemented
152#463×C71C2211yescharacteristic
153#463×C71C2211yescharacteristic, complemented
154#463×C71C2211yescharacteristic, complemented
155#463×C71C2211yescharacteristic, complemented
156#463×C71C2211yescharacteristic, complemented
157#460×C71C2211yescharacteristic
158#459×C71C2211yescharacteristic
159#452×C71C2211yescharacteristic
160#450×C71C2211yescharacteristic
161#450×C71C2211yescharacteristic
162#449×C71C2211yescharacteristic
163#447×C71C2211yescharacteristic
164#447×C71C2211yescharacteristic
165#446×C71C2211yescharacteristic, complemented
166#446×C71C2211yescharacteristic, complemented
167#442×C71C2211yescharacteristic
168#442×C71C2211yescharacteristic
169#442×C71C2211yescharacteristic, complemented
170#442×C71C2211yescharacteristic, complemented
171#441×C71C2211yescharacteristic, complemented
172#440×C71C2211yescharacteristic
173#440×C71C2211yescharacteristic
174#440×C71C2211yescharacteristic, complemented
175C4×SD16×C71C2211yescharacteristic
176C4×SD16×C71C2211yescharacteristic, complemented
177C4×SD16×C71C2211yescharacteristic, complemented
178C4×D8×C71C2211yescharacteristic
179#435×C71C2211yescharacteristic
180#435×C71C2211yescharacteristic, complemented
181#435×C71C2211yescharacteristic, complemented
182#435×C71C2211yescharacteristic, complemented
183C8×D4×C71C2211yescharacteristic
184C8×D4×C71C2211yescharacteristic, complemented
185#433×C71C2211yescharacteristic, complemented
186#433×C71C2211yescharacteristic, complemented
187#432×C71C2211yescharacteristic, complemented
188#428×C71C2211yescharacteristic, complemented
189#428×C71C2211yescharacteristic, complemented
190#427×C71C2211yescharacteristic, complemented
191C2×#106×C71C2211yescharacteristic, complemented
192C2×#106×C71C2211yescharacteristic, complemented
193C2×#106×C71C2211yescharacteristic, complemented
194#424×C71C2211yescharacteristic, complemented
195#424×C71C2211yescharacteristic, complemented
196C2×C4⋊C8×C71C2211yescharacteristic, complemented
197#418×C71C2211yescharacteristic
198#417×C71C2211yescharacteristic
199#416×C71C2211yescharacteristic
200C2×#102×C71C2211yescharacteristic
201C2×#102×C71C2211yescharacteristic
202C2×#102×C71C2211yescharacteristic
203C2×#41×C71—21no—
204C2×#41×C71—21no—
205C2×#41×C71C2311yescharacteristic
206C22×Q8×C71—21no—
207C22×Q8×C71—21no—
208C22×D4×C71—21no—
209C22×D4×C71C2311yescharacteristic
210C22×D4×C71C2311yescharacteristic
211C23×C4×C71—21no—
212C2×Q16×C71C2311yescharacteristic
213C2×SD16×C71C2311yescharacteristic
214C2×SD16×C71C2311yescharacteristic
215C2×SD16×C71C2311yescharacteristic
216C2×SD16×C71C2311yescharacteristic
217C2×D8×C71C2311yescharacteristic
218C2×D8×C71C2311yescharacteristic
219C2×D8×C71C2311yescharacteristic
220C2×M16×C71C2311yescharacteristic
221C2×M16×C71C2311yescharacteristic
222C22×C8×C71C2311yescharacteristic
223C22×C8×C71C2311yescharacteristic
224C22×C8×C71C2311yescharacteristic
225C22×C8×C71C2311yescharacteristic
226C4⋊Q8×C71—21no—
227C4⋊Q8×C71—21no—
228C4⋊Q8×C71—21no—
229C4⋊Q8×C71—21no—
230C4⋊Q8×C71—21no—
231C4⋊Q8×C71C2311yescharacteristic
232C4⋊Q8×C71C2311yescharacteristic
233C4⋊Q8×C71C2311yescharacteristic
234C4⋊Q8×C71C2311yescharacteristic
235C4⋊Q8×C71C2311yescharacteristic
236C4⋊Q8×C71C2311yescharacteristic
237C4⋊Q8×C71C2311yescharacteristic
238#127×C71C2311yescharacteristic
239#126×C71—21no—
240#126×C71—21no—
241#126×C71—21no—
242#126×C71—21no—
243#126×C71—21no—
244#126×C71—21no—
245#126×C71—21no—
246#126×C71—21no—
247#126×C71—21no—
248#126×C71—21no—
249#126×C71—21no—
250#126×C71D411yescharacteristic
251#126×C71D411yescharacteristic
252#125×C71—21no—
253#125×C71—21no—
254#125×C71—21no—
255#125×C71—21no—
256#125×C71—21no—
257#125×C71—21no—
258#125×C71—21no—
259#125×C71D411yescharacteristic
260#125×C71C2311yescharacteristic
261#125×C71C2311yescharacteristic
262#125×C71C2311yescharacteristic
263#125×C71C2311yescharacteristic
264#125×C71C2311yescharacteristic
265#124×C71—21no—
266#124×C71—21no—
267#124×C71—21no—
268#124×C71—21no—
269#124×C71—21no—
270#124×C71D411yescharacteristic
271#124×C71C2311yescharacteristic
272#124×C71C2311yescharacteristic
273#124×C71C2311yescharacteristic
274#123×C71—21no—
275#123×C71—21no—
276#123×C71—21no—
277#123×C71—21no—
278#123×C71—21no—
279#123×C71—21no—
280#123×C71—21no—
281#123×C71—21no—
282#123×C71—21no—
283#123×C71—21no—
284#123×C71—21no—
285#123×C71—21no—
286#123×C71—21no—
287#123×C71—21no—
288#123×C71—21no—
289#123×C71—21no—
290#123×C71—21no—
291#123×C71—21no—
292#123×C71—21no—
293#123×C71D411yescharacteristic
294#123×C71D411yescharacteristic
295C22⋊Q8×C71—21no—
296C22⋊Q8×C71—21no—
297C22⋊Q8×C71—21no—
298C22⋊Q8×C71—21no—
299C22⋊Q8×C71—21no—
300C22⋊Q8×C71—21no—
301C22⋊Q8×C71—21no—
302C22⋊Q8×C71—21no—
303C22⋊Q8×C71—21no—
304C22⋊Q8×C71—21no—
305C22⋊Q8×C71—21no—
306C22⋊Q8×C71—21no—
307C22⋊Q8×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×C71D411yescharacteristic
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×C71D411yescharacteristic
329#121×C71C2311yescharacteristic
330#121×C71C2311yescharacteristic
331#121×C71C2311yescharacteristic
332#121×C71C2311yescharacteristic
333#121×C71C2311yescharacteristic
334#121×C71C2311yescharacteristic
335#121×C71C2311yescharacteristic
336#120×C71—21no—
337#120×C71—21no—
338#120×C71—21no—
339#120×C71—21no—
340C4×Q8×C71—21no—
341C4×Q8×C71—21no—
342C4×Q8×C71C2311yescharacteristic
343C4×Q8×C71C2311yescharacteristic
344C4×Q8×C71C2311yescharacteristic
345C4×Q8×C71C2311yescharacteristic
346C4×Q8×C71C2311yescharacteristic
347C4×Q8×C71C2311yescharacteristic
348C4×D4×C71—21no—
349C4×D4×C71—21no—
350C4×D4×C71—21no—
351C4×D4×C71—21no—
352C4×D4×C71—21no—
353C4×D4×C71—21no—
354C4×D4×C71—21no—
355C4×D4×C71—21no—
356C4×D4×C71—21no—
357C4×D4×C71—21no—
358C4×D4×C71—21no—
359C4×D4×C71—21no—
360C4×D4×C71—21no—
361C4×D4×C71—21no—
362C4×D4×C71C2311yescharacteristic
363C4×D4×C71C2311yescharacteristic
364C4×D4×C71C2311yescharacteristic
365C4×D4×C71C2311yescharacteristic
366C4×D4×C71C2311yescharacteristic
367C4×D4×C71C2311yescharacteristic
368C4×D4×C71C2311yescharacteristic
369C4×D4×C71C2311yescharacteristic
370C4×D4×C71C2311yescharacteristic
371C4×D4×C71C2311yescharacteristic
372C4×D4×C71C2311yescharacteristic
373C4×D4×C71C2311yescharacteristic
374C4×D4×C71C2311yescharacteristic
375C4×D4×C71C2311yescharacteristic
376#117×C71—21no—
377#117×C71—21no—
378#117×C71—21no—
379#117×C71—21no—
380#117×C71C2311yescharacteristic
381#117×C71C2311yescharacteristic
382#117×C71C2311yescharacteristic
383#117×C71C2311yescharacteristic
384#117×C71C2311yescharacteristic
385C2×C4⋊C4×C71—21no—
386C2×C4⋊C4×C71—21no—
387C2×C4⋊C4×C71—21no—
388C2×C4⋊C4×C71C2311yescharacteristic
389C2×C4⋊C4×C71C2311yescharacteristic
390C2×C4⋊C4×C71C2311yescharacteristic
391C2×C4⋊C4×C71C2311yescharacteristic
392C2×C4⋊C4×C71C2311yescharacteristic
393C2×C4⋊C4×C71C2311yescharacteristic
394C2×C22⋊C4×C71—21no—
395C2×C22⋊C4×C71—21no—
396C2×C22⋊C4×C71—21no—
397C2×C22⋊C4×C71—21no—
398C2×C22⋊C4×C71—21no—
399C2×C42×C71C2311yescharacteristic
400#107×C71C2311yescharacteristic
401#107×C71C2311yescharacteristic
402#107×C71C2311yescharacteristic
403#107×C71C2311yescharacteristic
404#107×C71C2311yescharacteristic
405#107×C71C2311yescharacteristic
406#107×C71C2311yescharacteristic
407#107×C71C2311yescharacteristic
408#106×C71C2311yescharacteristic
409#106×C71C2311yescharacteristic
410#106×C71C2311yescharacteristic
411#106×C71C2311yescharacteristic
412#106×C71C2311yescharacteristic
413#106×C71C2311yescharacteristic
414#106×C71C2311yescharacteristic
415#106×C71C2311yescharacteristic
416#106×C71C2311yescharacteristic
417#106×C71C2311yescharacteristic
418#106×C71C2311yescharacteristic
419#106×C71C2311yescharacteristic
420#106×C71C2311yescharacteristic
421#106×C71C2311yescharacteristic
422#106×C71C2311yescharacteristic
423#106×C71C2311yescharacteristic
424C4⋊C8×C71C2311yescharacteristic
425C4⋊C8×C71C2311yescharacteristic
426C4⋊C8×C71C2311yescharacteristic
427C4⋊C8×C71C2311yescharacteristic
428C4⋊C8×C71C2311yescharacteristic
429C4⋊C8×C71C2311yescharacteristic
430C4⋊C8×C71C2311yescharacteristic
431C4⋊C8×C71C2311yescharacteristic
432C4⋊C8×C71C2311yescharacteristic
433C4⋊C8×C71C2311yescharacteristic
434#103×C71C2311yescharacteristic
435#103×C71C2311yescharacteristic
436#103×C71C2311yescharacteristic
437#103×C71C2311yescharacteristic
438#103×C71C2311yescharacteristic
439#103×C71C2311yescharacteristic
440#103×C71C2311yescharacteristic
441#103×C71C2311yescharacteristic
442#103×C71C2311yescharacteristic
443#103×C71C2311yescharacteristic
444#102×C71C2311yescharacteristic
445#102×C71C2311yescharacteristic
446#102×C71C2311yescharacteristic
447#102×C71C2311yescharacteristic
448#102×C71C2311yescharacteristic
449#102×C71C2311yescharacteristic
450#102×C71C2311yescharacteristic
451#102×C71C2311yescharacteristic
452#102×C71C2311yescharacteristic
453#102×C71C2311yescharacteristic
454#102×C71C2311yescharacteristic
455#102×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
466C22⋊C8×C71C2311yescharacteristic
467C22⋊C8×C71C2311yescharacteristic
468C22⋊C8×C71C2311yescharacteristic
469C22⋊C8×C71C2311yescharacteristic
470C22⋊C8×C71C2311yescharacteristic
471C22⋊C8×C71C2311yescharacteristic
472#97×C71C2311yescharacteristic
473#97×C71C2311yescharacteristic
474#97×C71C2311yescharacteristic
475#97×C71C2311yescharacteristic
476C4×C8×C71C2311yescharacteristic
477C4×C8×C71C2311yescharacteristic
478C24×C71—21no—
479C24×C71—21no—
480#41×C71—22no—
481#41×C71—41no—
482#41×C71—82no—
483#41×C71—82no—
484C2×Q8×C71—21no—
485C2×Q8×C71—21no—
486C2×Q8×C71—21no—
487C2×Q8×C71—21no—
488C2×Q8×C71—21no—
489C2×Q8×C71—21no—
490C2×Q8×C71—21no—
491C2×Q8×C71—82no—
492C2×Q8×C71—82no—
493C2×Q8×C71C2×D411yescharacteristic
494C2×Q8×C71C2411yescharacteristic
495C2×Q8×C71C2411yescharacteristic
496C2×D4×C71—22no—
497C2×D4×C71—22no—
498C2×D4×C71—21no—
499C2×D4×C71—21no—
500C2×D4×C71—21no—
501C2×D4×C71—21no—
502C2×D4×C71—21no—
503C2×D4×C71—21no—
504C2×D4×C71—21no—
505C2×D4×C71—21no—
506C2×D4×C71—21no—
507C2×D4×C71—21no—
508C2×D4×C71—21no—
509C2×D4×C71—21no—
510C2×D4×C71—41no—
511C2×D4×C71—41no—
512C2×D4×C71—82no—
513C2×D4×C71C2×D411yescharacteristic
514C2×D4×C71C2×D411yescharacteristic
515C2×D4×C71C2×D411yescharacteristic
516C2×D4×C71C2411yescharacteristic
517C2×D4×C71C2411yescharacteristic
518C2×D4×C71C2411yescharacteristic
519C2×D4×C71C2411yescharacteristic
520C22×C4×C71—21no—
521C22×C4×C71—21no—
522C22×C4×C71—21no—
523C22×C4×C71—21no—
524C22×C4×C71—21no—
525C22×C4×C71—21no—
526C22×C4×C71—21no—
527C22×C4×C71—21no—
528C22×C4×C71—21no—
529C22×C4×C71—21no—
530C22×C4×C71—21no—
531C22×C4×C71—21no—
532C22×C4×C71—21no—
533C22×C4×C71—21no—
534C22×C4×C71—21no—
535C22×C4×C71—21no—
536C22×C4×C71—21no—
537C22×C4×C71—21no—
538C22×C4×C71—82no—
539C22×C4×C71C2×D411yescharacteristic
540C22×C4×C71C2×D411yescharacteristic
541C22×C4×C71C2411yescharacteristic
542C22×C4×C71C2411yescharacteristic
543C22×C4×C71C2411yescharacteristic
544Q16×C71—41no—
545SD16×C71—22no—
546SD16×C71—41no—
547SD16×C71—41no—
548SD16×C71—41no—
549D8×C71—22no—
550D8×C71—41no—
551D8×C71—41no—
552M16×C71—41no—
553M16×C71—41no—
554C2×C8×C71—41no—
555C2×C8×C71—41no—
556C2×C8×C71—41no—
557C2×C8×C71—41no—
558C2×C8×C71C2411yescharacteristic
559C2×C8×C71C2411yescharacteristic
560C2×C8×C71C2411yescharacteristic
561C2×C8×C71C2411yescharacteristic
562C2×C8×C71C2411yescharacteristic
563C2×C8×C71C2411yescharacteristic
564C2×C8×C71C2411yescharacteristic
565C2×C8×C71C2411yescharacteristic
566C4⋊C4×C71—21no—
567C4⋊C4×C71—21no—
568C4⋊C4×C71—21no—
569C4⋊C4×C71—21no—
570C4⋊C4×C71—21no—
571C4⋊C4×C71—21no—
572C4⋊C4×C71—21no—
573C4⋊C4×C71—21no—
574C4⋊C4×C71—21no—
575C4⋊C4×C71—21no—
576C4⋊C4×C71—21no—
577C4⋊C4×C71—21no—
578C4⋊C4×C71—21no—
579C4⋊C4×C71—21no—
580C4⋊C4×C71—21no—
581C4⋊C4×C71—21no—
582C4⋊C4×C71—21no—
583C4⋊C4×C71—21no—
584C4⋊C4×C71—21no—
585C4⋊C4×C71—21no—
586C4⋊C4×C71—21no—
587C4⋊C4×C71—21no—
588C4⋊C4×C71—21no—
589C4⋊C4×C71—21no—
590C4⋊C4×C71—21no—
591C4⋊C4×C71—21no—
592C4⋊C4×C71—21no—
593C4⋊C4×C71—21no—
594C4⋊C4×C71—21no—
595C4⋊C4×C71—21no—
596C4⋊C4×C71—21no—
597C4⋊C4×C71—21no—
598C4⋊C4×C71—21no—
599C4⋊C4×C71C2×D411yescharacteristic
600C4⋊C4×C71C2×D411yescharacteristic
601C4⋊C4×C71C2×D411yescharacteristic
602C4⋊C4×C71C2×D411yescharacteristic
603C4⋊C4×C71C2×D411yescharacteristic
604C4⋊C4×C71C2×D411yescharacteristic
605C4⋊C4×C71C2×D411yescharacteristic
606C4⋊C4×C71C2×D411yescharacteristic
607C4⋊C4×C71C2×D411yescharacteristic
608C4⋊C4×C71C2×D411yescharacteristic
609C4⋊C4×C71C2411yescharacteristic
610C4⋊C4×C71C2411yescharacteristic
611C4⋊C4×C71C2411yescharacteristic
612C4⋊C4×C71C2411yescharacteristic
613C4⋊C4×C71C2411yescharacteristic
614C4⋊C4×C71C2411yescharacteristic
615C4⋊C4×C71C2411yescharacteristic
616C4⋊C4×C71C2411yescharacteristic
617C4⋊C4×C71C2411yescharacteristic
618C4⋊C4×C71C2411yescharacteristic
619C22⋊C4×C71—21no—
620C22⋊C4×C71—21no—
621C22⋊C4×C71—21no—
622C22⋊C4×C71—21no—
623C22⋊C4×C71—21no—
624C22⋊C4×C71—21no—
625C22⋊C4×C71—21no—
626C22⋊C4×C71—21no—
627C22⋊C4×C71—21no—
628C22⋊C4×C71—21no—
629C22⋊C4×C71—21no—
630C22⋊C4×C71—21no—
631C22⋊C4×C71—21no—
632C22⋊C4×C71—21no—
633C22⋊C4×C71—21no—
634C22⋊C4×C71—21no—
635C22⋊C4×C71—21no—
636C22⋊C4×C71—21no—
637C22⋊C4×C71—21no—
638C22⋊C4×C71—21no—
639C22⋊C4×C71—21no—
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×C71C2×D411yescharacteristic
652C22⋊C4×C71C2×D411yescharacteristic
653C22⋊C4×C71C2×D411yescharacteristic
654C22⋊C4×C71C2×D411yescharacteristic
655C22⋊C4×C71C2×D411yescharacteristic
656C22⋊C4×C71C2×D411yescharacteristic
657C22⋊C4×C71C2×D411yescharacteristic
658C22⋊C4×C71C2×D411yescharacteristic
659C22⋊C4×C71C2×D411yescharacteristic
660C22⋊C4×C71C2×D411yescharacteristic
661C42×C71—21no—
662C42×C71—21no—
663C42×C71—21no—
664C42×C71—21no—
665C42×C71—21no—
666C42×C71—21no—
667C42×C71—21no—
668C42×C71—21no—
669C42×C71C2×D411yescharacteristic
670C42×C71C2×D411yescharacteristic
671C42×C71C2411yescharacteristic
672C42×C71C2411yescharacteristic
673C42×C71C2411yescharacteristic
674C42×C71C2411yescharacteristic
675C23×C71—21no—
676C23×C71—21no—
677C23×C71—21no—
678C23×C71—21no—
679C23×C71—42no—
680C23×C71—42no—
681C23×C71—42no—
682C23×C71—81no—
683C23×C71—81no—
684C23×C71—81no—
685C23×C71C22×D411yescharacteristic
686C23×C71C22×D411yescharacteristic
687C23×C71C22×D411yescharacteristic
688Q8×C71—21no—
689Q8×C71—21no—
690Q8×C71—21no—
691Q8×C71—21no—
692Q8×C71—41no—
693Q8×C71—42no—
694Q8×C71—42no—
695Q8×C71—81no—
696Q8×C71—81no—
697Q8×C71—81no—
698Q8×C71—81no—
699Q8×C71—81no—
700D4×C71—22no—
701D4×C71—22no—
702D4×C71—21no—
703D4×C71—21no—
704D4×C71—21no—
705D4×C71—21no—
706D4×C71—21no—
707D4×C71—21no—
708D4×C71—21no—
709D4×C71—41no—
710D4×C71—42no—
711D4×C71—42no—
712D4×C71—42no—
713D4×C71—42no—
714D4×C71—42no—
715D4×C71—81no—
716D4×C71—81no—
717D4×C71—81no—
718D4×C71—81no—
719D4×C71—81no—
720D4×C71—81no—
721D4×C71—81no—
722D4×C712−1+412yes—
723C2×C4×C71—22no—
724C2×C4×C71—21no—
725C2×C4×C71—21no—
726C2×C4×C71—21no—
727C2×C4×C71—21no—
728C2×C4×C71—21no—
729C2×C4×C71—21no—
730C2×C4×C71—21no—
731C2×C4×C71—21no—
732C2×C4×C71—21no—
733C2×C4×C71—21no—
734C2×C4×C71—21no—
735C2×C4×C71—21no—
736C2×C4×C71—21no—
737C2×C4×C71—21no—
738C2×C4×C71—21no—
739C2×C4×C71—21no—
740C2×C4×C71—21no—
741C2×C4×C71—21no—
742C2×C4×C71—41no—
743C2×C4×C71—42no—
744C2×C4×C71—42no—
745C2×C4×C71—42no—
746C2×C4×C71—81no—
747C2×C4×C71—81no—
748C2×C4×C71—81no—
749C2×C4×C71—81no—
750C2×C4×C71—81no—
751C2×C4×C71—81no—
752C2×C4×C71—81no—
753C2×C4×C71—81no—
754C2×C4×C71—81no—
755C2×C4×C71—81no—
756C2×C4×C71—81no—
757C2×C4×C71—81no—
758C2×C4×C71—81no—
759C2×C4×C71—81no—
760C2×C4×C71—81no—
761C2×C4×C71C22×D411yescharacteristic
762C2×C4×C71C22×D411yescharacteristic
763C2×C4×C71C22×D411yescharacteristic
764C2×C4×C71C22×D411yescharacteristic
765C2×C4×C71C22×D411yescharacteristic
766C2×C4×C71C22×D411yescharacteristic
767C2×C4×C71C22×D411yescharacteristic
768C2×C4×C71C22×D411yescharacteristic
769C2×C4×C71C22×D411yescharacteristic
770C2×C4×C71C22×D411yescharacteristic
771C2×C4×C71C22×D411yescharacteristic
772C2×C4×C71C2511yescharacteristic
773C8×C71—21no—
774C8×C71—21no—
775C8×C71—21no—
776C8×C71—21no—
777C8×C71—21no—
778C8×C71—21no—
779C8×C71—21no—
780C8×C71—21no—
781C22×C71—21no—
782C22×C71—21no—
783C22×C71—21no—
784C22×C71—21no—
785C22×C71—21no—
786C22×C71—21no—
787C22×C71—22no—
788C22×C71—21no—
789C22×C71—21no—
790C22×C71—41no—
791C22×C71—41no—
792C22×C71—41no—
793C22×C71—41no—
794C22×C71—41no—
795C22×C71—41no—
796C22×C71—41no—
797C22×C71—41no—
798C22×C71—41no—
799C22×C71—41no—
800C22×C71—41no—
801C22×C71—84no—
802C22×C71—162no—
803C22×C71#57712yes—
804C22×C71C23×D411yescharacteristic
805C4×C71—21no—
806C4×C71—21no—
807C4×C71—21no—
808C4×C71—21no—
809C4×C71—21no—
810C4×C71—21no—
811C4×C71—21no—
812C4×C71—21no—
813C4×C71—21no—
814C4×C71—21no—
815C4×C71—21no—
816C4×C71—41no—
817C4×C71—41no—
818C4×C71—41no—
819C4×C71—41no—
820C4×C71—41no—
821C4×C71—41no—
822C4×C71—41no—
823C4×C71—41no—
824C4×C71—41no—
825C4×C71—41no—
826C4×C71—41no—
827C4×C71—41no—
828C4×C71C2×2−1+411yescharacteristic
829C4×C71#58511yescharacteristic
830#62156C7111yesmaximal, characteristic, direct product factor, Sylow
831C2×C71—22no—
832C2×C71—41no—
833C2×C71—41no—
834C2×C71—42no—
835C2×C71—81no—
836C2×C71—81no—
837C2×C71—81no—
838C2×C71#348911yescharacteristic
839C2×C71C2×#57711yescharacteristic
840C2×C71#358511yescharacteristic
841#3552C2×C7111yescharacteristic, complemented
842#3513C2×C7111yescharacteristic, complemented
843#3388C2×C7111yescharacteristic, complemented
844#3384C2×C7111yescharacteristic, complemented
845#3373C2×C7111yescharacteristic, complemented
846#3371C2×C7111yescharacteristic, complemented
847#3350C2×C7111yescharacteristic, complemented
848#3345C2×C7111yescharacteristic, complemented
849#3345C2×C7111yescharacteristic, complemented
850#3344C2×C7111yescharacteristic, complemented
851#3337C2×C7111yescharacteristic, complemented
852#3335C2×C7111yescharacteristic, complemented
853#3318C2×C7111yescharacteristic, complemented
854#3314C2×C7111yescharacteristic, complemented
855#3311C2×C7111yescharacteristic, complemented
856#3306C2×C7111yescharacteristic, complemented
857#3297C2×C7111yescharacteristic, complemented
858#3295C2×C7111yescharacteristic, complemented
859#3263C2×C7111yescharacteristic, complemented
860#3257C2×C7111yescharacteristic, complemented
861#3250C2×C7111yescharacteristic, complemented
862#3244C2×C7111yescharacteristic, complemented
863#3241C2×C7111yescharacteristic, complemented
864#3239C2×C7111yescharacteristic, complemented
865#3125C2×C7111yescharacteristic, complemented
866#3118C2×C7111yescharacteristic, complemented
867#3114C2×C7111yescharacteristic, complemented
868#3084C2×C7111yescharacteristic, complemented
869#3081C2×C7111yescharacteristic, complemented
870C2×#476C2×C7111yescharacteristic, complemented
871#2992C2×C7111yescharacteristic, complemented
872C71#6215611yescharacteristic, direct product factor, Sylow
873#563—21no—
874#563—21no—
875#559C22×C7111yescharacteristic
876#557C22×C7111yescharacteristic, complemented
877#556C22×C7111yescharacteristic, complemented
878#554C22×C7111yescharacteristic
879#554C22×C7111yescharacteristic
880#554C22×C7111yescharacteristic, complemented
881#553—21no—
882#553C22×C7111yescharacteristic
883#553C22×C7111yescharacteristic
884#553C22×C7111yescharacteristic, complemented
885#552C22×C7111yescharacteristic
886#551—21no—
887#551—21no—
888D4×Q8—21no—
889D4×Q8C22×C7111yescharacteristic, complemented
890#548—21no—
891#547C22×C7111yescharacteristic
892#547C22×C7111yescharacteristic, complemented
893#546—21no—
894#546C22×C7111yescharacteristic
895#546C22×C7111yescharacteristic
896D42C22×C7111yescharacteristic
897#544C22×C7111yescharacteristic, complemented
898#544C22×C7111yescharacteristic, complemented
899#542C22×C7111yescharacteristic
900#542C22×C7111yescharacteristic, complemented
901#542C22×C7111yescharacteristic, complemented
902#541—21no—
903#540C22×C7111yescharacteristic
904#539—21no—
905#539—21no—
906#539—21no—
907#538—21no—
908#536—21no—
909C2×C4⋊Q8C22×C7111yescharacteristic, complemented
910#529C22×C7111yescharacteristic
911#529C22×C7111yescharacteristic
912#529C22×C7111yescharacteristic, complemented
913#525—21no—
914C2×#123—21no—
915#520C22×C7111yescharacteristic
916#518C22×C7111yescharacteristic
917C2×C4×D4C22×C7111yescharacteristic
918#501C22×C7111yescharacteristic, complemented
919#501C22×C7111yescharacteristic, complemented
920#501C22×C7111yescharacteristic, complemented
921#501C22×C7111yescharacteristic, complemented
922#499C22×C7111yescharacteristic, complemented
923#498C22×C7111yescharacteristic, complemented
924#490C22×C7111yescharacteristic
925#489C22×C7111yescharacteristic, complemented
926#489C22×C7111yescharacteristic, complemented
927#489C22×C7111yescharacteristic, complemented
928#488C22×C7111yescharacteristic, complemented
929#486C22×C7111yescharacteristic
930#485C22×C7111yescharacteristic, complemented
931#485C22×C7111yescharacteristic, complemented
932#484C22×C7111yescharacteristic, complemented
933#484C22×C7111yescharacteristic, complemented
934#483C22×C7111yescharacteristic, complemented
935#483C22×C7111yescharacteristic, complemented
936#483C22×C7111yescharacteristic, complemented
937#482C22×C7111yescharacteristic
938#482C22×C7111yescharacteristic, complemented
939#482C22×C7111yescharacteristic, complemented
940#482C22×C7111yescharacteristic, complemented
941#481C22×C7111yescharacteristic
942#481C22×C7111yescharacteristic
943#481C22×C7111yescharacteristic
944#481C22×C7111yescharacteristic, complemented
945#481C22×C7111yescharacteristic, complemented
946#480C22×C7111yescharacteristic, complemented
947#480C22×C7111yescharacteristic, complemented
948#479C22×C7111yescharacteristic, complemented
949#479C22×C7111yescharacteristic, complemented
950#479C22×C7111yescharacteristic, complemented
951#479C22×C7111yescharacteristic, complemented
952#478C22×C7111yescharacteristic
953#478C22×C7111yescharacteristic
954#478C22×C7111yescharacteristic
955#478C22×C7111yescharacteristic, complemented
956#478C22×C7111yescharacteristic, complemented
957#478C22×C7111yescharacteristic, complemented
958#478C22×C7111yescharacteristic, complemented
959#478C22×C7111yescharacteristic, complemented
960#476C22×C7111yescharacteristic
961#476C22×C7111yescharacteristic
962#476C22×C7111yescharacteristic
963#476C22×C7111yescharacteristic
964#476C22×C7111yescharacteristic
965#476C22×C7111yescharacteristic, complemented
966#476C22×C7111yescharacteristic, complemented
967#476C22×C7111yescharacteristic, complemented
968#476C22×C7111yescharacteristic, complemented
969#476C22×C7111yescharacteristic, complemented
970#476C22×C7111yescharacteristic, complemented
971#475C22×C7111yescharacteristic, complemented
972#475C22×C7111yescharacteristic, complemented
973#475C22×C7111yescharacteristic, complemented
974#475C22×C7111yescharacteristic, complemented
975#474C22×C7111yescharacteristic
976#474C22×C7111yescharacteristic, complemented
977#474C22×C7111yescharacteristic, complemented
978#470C22×C7111yescharacteristic, complemented
979#469C22×C7111yescharacteristic
980#469C22×C7111yescharacteristic, complemented
981#468C22×C7111yescharacteristic, complemented
982#467C22×C7111yescharacteristic, complemented
983#466C22×C7111yescharacteristic
984#466C22×C7111yescharacteristic, complemented
985#465C22×C7111yescharacteristic
986#465C22×C7111yescharacteristic
987#465C22×C7111yescharacteristic, complemented
988#465C22×C7111yescharacteristic, complemented
989#465C22×C7111yescharacteristic, complemented
990#464C22×C7111yescharacteristic, complemented
991#464C22×C7111yescharacteristic, complemented
992#464C22×C7111yescharacteristic, complemented
993#463C22×C7111yescharacteristic
994#463C22×C7111yescharacteristic, complemented
995#463C22×C7111yescharacteristic, complemented
996#463C22×C7111yescharacteristic, complemented
997#463C22×C7111yescharacteristic, complemented
998#460C22×C7111yescharacteristic
999#459C22×C7111yescharacteristic
1000#452C22×C7111yescharacteristic
1001#450C22×C7111yescharacteristic
1002#450C22×C7111yescharacteristic
1003#449C22×C7111yescharacteristic
1004#447C22×C7111yescharacteristic
1005#447C22×C7111yescharacteristic
1006#446C22×C7111yescharacteristic, complemented
1007#446C22×C7111yescharacteristic, complemented
1008#442C22×C7111yescharacteristic
1009#442C22×C7111yescharacteristic
1010#442C22×C7111yescharacteristic, complemented
1011#442C22×C7111yescharacteristic, complemented
1012#441C22×C7111yescharacteristic, complemented
1013#440C22×C7111yescharacteristic
1014#440C22×C7111yescharacteristic
1015#440C22×C7111yescharacteristic, complemented
1016C4×SD16C22×C7111yescharacteristic
1017C4×SD16C22×C7111yescharacteristic, complemented
1018C4×SD16C22×C7111yescharacteristic, complemented
1019C4×D8C22×C7111yescharacteristic
1020#435C22×C7111yescharacteristic
1021#435C22×C7111yescharacteristic, complemented
1022#435C22×C7111yescharacteristic, complemented
1023#435C22×C7111yescharacteristic, complemented
1024C8×D4C22×C7111yescharacteristic
1025C8×D4C22×C7111yescharacteristic, complemented
1026#433C22×C7111yescharacteristic, complemented
1027#433C22×C7111yescharacteristic, complemented
1028#432C22×C7111yescharacteristic, complemented
1029#428C22×C7111yescharacteristic, complemented
1030#428C22×C7111yescharacteristic, complemented
1031#427C22×C7111yescharacteristic, complemented
1032C2×#106C22×C7111yescharacteristic, complemented
1033C2×#106C22×C7111yescharacteristic, complemented
1034C2×#106C22×C7111yescharacteristic, complemented
1035#424C22×C7111yescharacteristic, complemented
1036#424C22×C7111yescharacteristic, complemented
1037C2×C4⋊C8C22×C7111yescharacteristic, complemented
1038#418C22×C7111yescharacteristic
1039#417C22×C7111yescharacteristic
1040#416C22×C7111yescharacteristic
1041C2×#102C22×C7111yescharacteristic
1042C2×#102C22×C7111yescharacteristic
1043C2×#102C22×C7111yescharacteristic
1044C2×#41—21no—
1045C2×#41—21no—
1046C2×#41C23×C7111yescharacteristic
1047C22×Q8—21no—
1048C22×Q8—21no—
1049C22×D4—21no—
1050C22×D4C23×C7111yescharacteristic
1051C22×D4C23×C7111yescharacteristic
1052C23×C4—21no—
1053C2×Q16C23×C7111yescharacteristic
1054C2×SD16C23×C7111yescharacteristic
1055C2×SD16C23×C7111yescharacteristic
1056C2×SD16C23×C7111yescharacteristic
1057C2×SD16C23×C7111yescharacteristic
1058C2×D8C23×C7111yescharacteristic
1059C2×D8C23×C7111yescharacteristic
1060C2×D8C23×C7111yescharacteristic
1061C2×M16C23×C7111yescharacteristic
1062C2×M16C23×C7111yescharacteristic
1063C22×C8C23×C7111yescharacteristic
1064C22×C8C23×C7111yescharacteristic
1065C22×C8C23×C7111yescharacteristic
1066C22×C8C23×C7111yescharacteristic
1067C4⋊Q8—21no—
1068C4⋊Q8—21no—
1069C4⋊Q8—21no—
1070C4⋊Q8—21no—
1071C4⋊Q8—21no—
1072C4⋊Q8C23×C7111yescharacteristic
1073C4⋊Q8C23×C7111yescharacteristic
1074C4⋊Q8C23×C7111yescharacteristic
1075C4⋊Q8C23×C7111yescharacteristic
1076C4⋊Q8C23×C7111yescharacteristic
1077C4⋊Q8C23×C7111yescharacteristic
1078C4⋊Q8C23×C7111yescharacteristic
1079#127C23×C7111yescharacteristic
1080#126—21no—
1081#126—21no—
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#126—21no—
1086#126—21no—
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126D4×C7111yescharacteristic
1092#126D4×C7111yescharacteristic
1093#125—21no—
1094#125—21no—
1095#125—21no—
1096#125—21no—
1097#125—21no—
1098#125—21no—
1099#125—21no—
1100#125D4×C7111yescharacteristic
1101#125C23×C7111yescharacteristic
1102#125C23×C7111yescharacteristic
1103#125C23×C7111yescharacteristic
1104#125C23×C7111yescharacteristic
1105#125C23×C7111yescharacteristic
1106#124—21no—
1107#124—21no—
1108#124—21no—
1109#124—21no—
1110#124—21no—
1111#124D4×C7111yescharacteristic
1112#124C23×C7111yescharacteristic
1113#124C23×C7111yescharacteristic
1114#124C23×C7111yescharacteristic
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123D4×C7111yescharacteristic
1135#123D4×C7111yescharacteristic
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8D4×C7111yescharacteristic
1156C22⋊Q8C23×C7111yescharacteristic
1157C22⋊Q8C23×C7111yescharacteristic
1158C22⋊Q8C23×C7111yescharacteristic
1159C22⋊Q8C23×C7111yescharacteristic
1160C22⋊Q8C23×C7111yescharacteristic
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121D4×C7111yescharacteristic
1170#121C23×C7111yescharacteristic
1171#121C23×C7111yescharacteristic
1172#121C23×C7111yescharacteristic
1173#121C23×C7111yescharacteristic
1174#121C23×C7111yescharacteristic
1175#121C23×C7111yescharacteristic
1176#121C23×C7111yescharacteristic
1177#120—21no—
1178#120—21no—
1179#120—21no—
1180#120—21no—
1181C4×Q8—21no—
1182C4×Q8—21no—
1183C4×Q8C23×C7111yescharacteristic
1184C4×Q8C23×C7111yescharacteristic
1185C4×Q8C23×C7111yescharacteristic
1186C4×Q8C23×C7111yescharacteristic
1187C4×Q8C23×C7111yescharacteristic
1188C4×Q8C23×C7111yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4C23×C7111yescharacteristic
1204C4×D4C23×C7111yescharacteristic
1205C4×D4C23×C7111yescharacteristic
1206C4×D4C23×C7111yescharacteristic
1207C4×D4C23×C7111yescharacteristic
1208C4×D4C23×C7111yescharacteristic
1209C4×D4C23×C7111yescharacteristic
1210C4×D4C23×C7111yescharacteristic
1211C4×D4C23×C7111yescharacteristic
1212C4×D4C23×C7111yescharacteristic
1213C4×D4C23×C7111yescharacteristic
1214C4×D4C23×C7111yescharacteristic
1215C4×D4C23×C7111yescharacteristic
1216C4×D4C23×C7111yescharacteristic
1217#117—21no—
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117C23×C7111yescharacteristic
1222#117C23×C7111yescharacteristic
1223#117C23×C7111yescharacteristic
1224#117C23×C7111yescharacteristic
1225#117C23×C7111yescharacteristic
1226C2×C4⋊C4—21no—
1227C2×C4⋊C4—21no—
1228C2×C4⋊C4—21no—
1229C2×C4⋊C4C23×C7111yescharacteristic
1230C2×C4⋊C4C23×C7111yescharacteristic
1231C2×C4⋊C4C23×C7111yescharacteristic
1232C2×C4⋊C4C23×C7111yescharacteristic
1233C2×C4⋊C4C23×C7111yescharacteristic
1234C2×C4⋊C4C23×C7111yescharacteristic
1235C2×C22⋊C4—21no—
1236C2×C22⋊C4—21no—
1237C2×C22⋊C4—21no—
1238C2×C22⋊C4—21no—
1239C2×C22⋊C4—21no—
1240C2×C42C23×C7111yescharacteristic
1241#107C23×C7111yescharacteristic
1242#107C23×C7111yescharacteristic
1243#107C23×C7111yescharacteristic
1244#107C23×C7111yescharacteristic
1245#107C23×C7111yescharacteristic
1246#107C23×C7111yescharacteristic
1247#107C23×C7111yescharacteristic
1248#107C23×C7111yescharacteristic
1249#106C23×C7111yescharacteristic
1250#106C23×C7111yescharacteristic
1251#106C23×C7111yescharacteristic
1252#106C23×C7111yescharacteristic
1253#106C23×C7111yescharacteristic
1254#106C23×C7111yescharacteristic
1255#106C23×C7111yescharacteristic
1256#106C23×C7111yescharacteristic
1257#106C23×C7111yescharacteristic
1258#106C23×C7111yescharacteristic
1259#106C23×C7111yescharacteristic
1260#106C23×C7111yescharacteristic
1261#106C23×C7111yescharacteristic
1262#106C23×C7111yescharacteristic
1263#106C23×C7111yescharacteristic
1264#106C23×C7111yescharacteristic
1265C4⋊C8C23×C7111yescharacteristic
1266C4⋊C8C23×C7111yescharacteristic
1267C4⋊C8C23×C7111yescharacteristic
1268C4⋊C8C23×C7111yescharacteristic
1269C4⋊C8C23×C7111yescharacteristic
1270C4⋊C8C23×C7111yescharacteristic
1271C4⋊C8C23×C7111yescharacteristic
1272C4⋊C8C23×C7111yescharacteristic
1273C4⋊C8C23×C7111yescharacteristic
1274C4⋊C8C23×C7111yescharacteristic
1275#103C23×C7111yescharacteristic
1276#103C23×C7111yescharacteristic
1277#103C23×C7111yescharacteristic
1278#103C23×C7111yescharacteristic
1279#103C23×C7111yescharacteristic
1280#103C23×C7111yescharacteristic
1281#103C23×C7111yescharacteristic
1282#103C23×C7111yescharacteristic
1283#103C23×C7111yescharacteristic
1284#103C23×C7111yescharacteristic
1285#102C23×C7111yescharacteristic
1286#102C23×C7111yescharacteristic
1287#102C23×C7111yescharacteristic
1288#102C23×C7111yescharacteristic
1289#102C23×C7111yescharacteristic
1290#102C23×C7111yescharacteristic
1291#102C23×C7111yescharacteristic
1292#102C23×C7111yescharacteristic
1293#102C23×C7111yescharacteristic
1294#102C23×C7111yescharacteristic
1295#102C23×C7111yescharacteristic
1296#102C23×C7111yescharacteristic
1297#102C23×C7111yescharacteristic
1298#102C23×C7111yescharacteristic
1299#102C23×C7111yescharacteristic
1300#102C23×C7111yescharacteristic
1301#102C23×C7111yescharacteristic
1302#102C23×C7111yescharacteristic
1303#102C23×C7111yescharacteristic
1304#102C23×C7111yescharacteristic
1305#102C23×C7111yescharacteristic
1306#102C23×C7111yescharacteristic
1307C22⋊C8C23×C7111yescharacteristic
1308C22⋊C8C23×C7111yescharacteristic
1309C22⋊C8C23×C7111yescharacteristic
1310C22⋊C8C23×C7111yescharacteristic
1311C22⋊C8C23×C7111yescharacteristic
1312C22⋊C8C23×C7111yescharacteristic
1313#97C23×C7111yescharacteristic
1314#97C23×C7111yescharacteristic
1315#97C23×C7111yescharacteristic
1316#97C23×C7111yescharacteristic
1317C4×C8C23×C7111yescharacteristic
1318C4×C8C23×C7111yescharacteristic
1319C24—21no—
1320C24—21no—
1321#41—22no—
1322#41—41no—
1323#41—82no—
1324#41—82no—
1325C2×Q8—21no—
1326C2×Q8—21no—
1327C2×Q8—21no—
1328C2×Q8—21no—
1329C2×Q8—21no—
1330C2×Q8—21no—
1331C2×Q8—21no—
1332C2×Q8—82no—
1333C2×Q8—82no—
1334C2×Q8C2×D4×C7111yescharacteristic
1335C2×Q8C24×C7111yescharacteristic
1336C2×Q8C24×C7111yescharacteristic
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—21no—
1344C2×D4—21no—
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—82no—
1354C2×D4C2×D4×C7111yescharacteristic
1355C2×D4C2×D4×C7111yescharacteristic
1356C2×D4C2×D4×C7111yescharacteristic
1357C2×D4C24×C7111yescharacteristic
1358C2×D4C24×C7111yescharacteristic
1359C2×D4C24×C7111yescharacteristic
1360C2×D4C24×C7111yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—82no—
1380C22×C4C2×D4×C7111yescharacteristic
1381C22×C4C2×D4×C7111yescharacteristic
1382C22×C4C24×C7111yescharacteristic
1383C22×C4C24×C7111yescharacteristic
1384C22×C4C24×C7111yescharacteristic
1385Q16—41no—
1386SD16—22no—
1387SD16—41no—
1388SD16—41no—
1389SD16—41no—
1390D8—22no—
1391D8—41no—
1392D8—41no—
1393M16—41no—
1394M16—41no—
1395C2×C8—41no—
1396C2×C8—41no—
1397C2×C8—41no—
1398C2×C8—41no—
1399C2×C8C24×C7111yescharacteristic
1400C2×C8C24×C7111yescharacteristic
1401C2×C8C24×C7111yescharacteristic
1402C2×C8C24×C7111yescharacteristic
1403C2×C8C24×C7111yescharacteristic
1404C2×C8C24×C7111yescharacteristic
1405C2×C8C24×C7111yescharacteristic
1406C2×C8C24×C7111yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4C2×D4×C7111yescharacteristic
1441C4⋊C4C2×D4×C7111yescharacteristic
1442C4⋊C4C2×D4×C7111yescharacteristic
1443C4⋊C4C2×D4×C7111yescharacteristic
1444C4⋊C4C2×D4×C7111yescharacteristic
1445C4⋊C4C2×D4×C7111yescharacteristic
1446C4⋊C4C2×D4×C7111yescharacteristic
1447C4⋊C4C2×D4×C7111yescharacteristic
1448C4⋊C4C2×D4×C7111yescharacteristic
1449C4⋊C4C2×D4×C7111yescharacteristic
1450C4⋊C4C24×C7111yescharacteristic
1451C4⋊C4C24×C7111yescharacteristic
1452C4⋊C4C24×C7111yescharacteristic
1453C4⋊C4C24×C7111yescharacteristic
1454C4⋊C4C24×C7111yescharacteristic
1455C4⋊C4C24×C7111yescharacteristic
1456C4⋊C4C24×C7111yescharacteristic
1457C4⋊C4C24×C7111yescharacteristic
1458C4⋊C4C24×C7111yescharacteristic
1459C4⋊C4C24×C7111yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4C2×D4×C7111yescharacteristic
1493C22⋊C4C2×D4×C7111yescharacteristic
1494C22⋊C4C2×D4×C7111yescharacteristic
1495C22⋊C4C2×D4×C7111yescharacteristic
1496C22⋊C4C2×D4×C7111yescharacteristic
1497C22⋊C4C2×D4×C7111yescharacteristic
1498C22⋊C4C2×D4×C7111yescharacteristic
1499C22⋊C4C2×D4×C7111yescharacteristic
1500C22⋊C4C2×D4×C7111yescharacteristic
1501C22⋊C4C2×D4×C7111yescharacteristic
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42C2×D4×C7111yescharacteristic
1511C42C2×D4×C7111yescharacteristic
1512C42C24×C7111yescharacteristic
1513C42C24×C7111yescharacteristic
1514C42C24×C7111yescharacteristic
1515C42C24×C7111yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—42no—
1521C23—42no—
1522C23—42no—
1523C23—81no—
1524C23—81no—
1525C23—81no—
1526C23C22×D4×C7111yescharacteristic
1527C23C22×D4×C7111yescharacteristic
1528C23C22×D4×C7111yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—41no—
1534Q8—42no—
1535Q8—42no—
1536Q8—81no—
1537Q8—81no—
1538Q8—81no—
1539Q8—81no—
1540Q8—81no—
1541D4—22no—
1542D4—22no—
1543D4—21no—
1544D4—21no—
1545D4—21no—
1546D4—21no—
1547D4—21no—
1548D4—21no—
1549D4—21no—
1550D4—41no—
1551D4—42no—
1552D4—42no—
1553D4—42no—
1554D4—42no—
1555D4—42no—
1556D4—81no—
1557D4—81no—
1558D4—81no—
1559D4—81no—
1560D4—81no—
1561D4—81no—
1562D4—81no—
1563D42−1+4×C7112yes—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—41no—
1584C2×C4—42no—
1585C2×C4—42no—
1586C2×C4—42no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—81no—
1594C2×C4—81no—
1595C2×C4—81no—
1596C2×C4—81no—
1597C2×C4—81no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4C22×D4×C7111yescharacteristic
1603C2×C4C22×D4×C7111yescharacteristic
1604C2×C4C22×D4×C7111yescharacteristic
1605C2×C4C22×D4×C7111yescharacteristic
1606C2×C4C22×D4×C7111yescharacteristic
1607C2×C4C22×D4×C7111yescharacteristic
1608C2×C4C22×D4×C7111yescharacteristic
1609C2×C4C22×D4×C7111yescharacteristic
1610C2×C4C22×D4×C7111yescharacteristic
1611C2×C4C22×D4×C7111yescharacteristic
1612C2×C4C22×D4×C7111yescharacteristic
1613C2×C4C25×C7111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—21no—
1621C8—21no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—22no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—84no—
1643C22—162no—
1644C22#577×C7112yes—
1645C22C23×D4×C7111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—21no—
1655C4—21no—
1656C4—21no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4C2×2−1+4×C7111yescharacteristic
1670C4#585×C7111yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—41no—
1674C2—42no—
1675C2—81no—
1676C2—81no—
1677C2—81no—
1678C2C71×#348911yescharacteristic
1679C2C2×#577×C7111yescharacteristic
1680C2C71×#358511yescharacteristic
subgroupG/H
center, socleC22×C71C23×D4
commutator, Frattini, cosocleC2×C4C25×C71
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C71 ◁ #529×C71 ◁ G

Complements

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

NH ≅ G/Ntype
1. C71×#3552C2semidirect
2. C71×#3513C2semidirect
3. C71×#3388C2semidirect
4. C71×#3384C2semidirect
5. C71×#3373C2semidirect
6. C71×#3371C2semidirect
7. C71×#3350C2semidirect
8. C71×#3345C2semidirect
9. C71×#3345C2semidirect
10. C71×#3344C2semidirect
11. C71×#3337C2semidirect
12. C71×#3335C2semidirect
13. C71×#3318C2semidirect
14. C71×#3314C2semidirect
15. C71×#3311C2semidirect
16. C71×#3306C2semidirect
17. C71×#3297C2semidirect
18. C71×#3295C2semidirect
19. C71×#3263C2semidirect
20. C71×#3257C2semidirect
21. C71×#3250C2semidirect
22. C71×#3244C2semidirect
23. C71×#3241C2semidirect
24. C71×#3239C2semidirect
25. C71×#3125C2semidirect
26. C71×#3118C2semidirect
27. C71×#3114C2semidirect
28. C71×#3084C2semidirect
29. C71×#3081C2semidirect
30. C2×#476×C71C2semidirect
31. C71×#2992C2semidirect
35. #557×C71C22semidirect
36. #556×C71C22semidirect
39. #554×C71C22semidirect
43. #553×C71C22semidirect
48. D4×Q8×C71C22semidirect
51. #547×C71C22semidirect
56. #544×C71C22semidirect
57. #544×C71C22semidirect
59. #542×C71C22semidirect
60. #542×C71C22semidirect
68. C2×C4⋊Q8×C71C22semidirect
71. #529×C71C22semidirect
77. #501×C71C22semidirect
78. #501×C71C22semidirect
79. #501×C71C22semidirect
80. #501×C71C22semidirect
81. #499×C71C22semidirect
82. #498×C71C22semidirect
84. #489×C71C22semidirect
85. #489×C71C22semidirect
86. #489×C71C22semidirect
87. #488×C71C22semidirect
89. #485×C71C22semidirect
90. #485×C71C22semidirect
91. #484×C71C22semidirect
92. #484×C71C22semidirect
93. #483×C71C22semidirect
94. #483×C71C22semidirect
95. #483×C71C22semidirect
97. #482×C71C22semidirect
98. #482×C71C22semidirect
99. #482×C71C22semidirect
103. #481×C71C22semidirect
104. #481×C71C22semidirect
105. #480×C71C22semidirect
106. #480×C71C22semidirect
107. #479×C71C22semidirect
108. #479×C71C22semidirect
109. #479×C71C22semidirect
110. #479×C71C22semidirect
114. #478×C71C22semidirect
115. #478×C71C22semidirect
116. #478×C71C22semidirect
117. #478×C71C22semidirect
118. #478×C71C22semidirect
124. #476×C71C22semidirect
125. #476×C71C22semidirect
126. #476×C71C22semidirect
127. #476×C71C22semidirect
128. #476×C71C22semidirect
129. #476×C71C22semidirect
130. #475×C71C22semidirect
131. #475×C71C22semidirect
132. #475×C71C22semidirect
133. #475×C71C22semidirect
135. #474×C71C22semidirect
136. #474×C71C22semidirect
137. #470×C71C22semidirect
139. #469×C71C22semidirect
140. #468×C71C22semidirect
141. #467×C71C22semidirect
143. #466×C71C22semidirect
146. #465×C71C22semidirect
147. #465×C71C22semidirect
148. #465×C71C22semidirect
149. #464×C71C22semidirect
150. #464×C71C22semidirect
151. #464×C71C22semidirect
153. #463×C71C22semidirect
154. #463×C71C22semidirect
155. #463×C71C22semidirect
156. #463×C71C22semidirect
165. #446×C71C22semidirect
166. #446×C71C22semidirect
169. #442×C71C22semidirect
170. #442×C71C22semidirect
171. #441×C71C22semidirect
174. #440×C71C22semidirect
176. C4×SD16×C71C22semidirect
177. C4×SD16×C71C22semidirect
180. #435×C71C22semidirect
181. #435×C71C22semidirect
182. #435×C71C22semidirect
184. C8×D4×C71C22semidirect
185. #433×C71C22semidirect
186. #433×C71C22semidirect
187. #432×C71C22semidirect
188. #428×C71C22semidirect
189. #428×C71C22semidirect
190. #427×C71C22semidirect
191. C2×#106×C71C22semidirect
192. C2×#106×C71C22semidirect
193. C2×#106×C71C22semidirect
194. #424×C71C22semidirect
195. #424×C71C22semidirect
196. C2×C4⋊C8×C71C22semidirect
830. #62156C71direct (N × H)
841. #3552C2×C71semidirect
842. #3513C2×C71semidirect
843. #3388C2×C71semidirect
844. #3384C2×C71semidirect
845. #3373C2×C71semidirect
846. #3371C2×C71semidirect
847. #3350C2×C71semidirect
848. #3345C2×C71semidirect
849. #3345C2×C71semidirect
850. #3344C2×C71semidirect
851. #3337C2×C71semidirect
852. #3335C2×C71semidirect
853. #3318C2×C71semidirect
854. #3314C2×C71semidirect
855. #3311C2×C71semidirect
856. #3306C2×C71semidirect
857. #3297C2×C71semidirect
858. #3295C2×C71semidirect
859. #3263C2×C71semidirect
860. #3257C2×C71semidirect
861. #3250C2×C71semidirect
862. #3244C2×C71semidirect
863. #3241C2×C71semidirect
864. #3239C2×C71semidirect
865. #3125C2×C71semidirect
866. #3118C2×C71semidirect
867. #3114C2×C71semidirect
868. #3084C2×C71semidirect
869. #3081C2×C71semidirect
870. C2×#476C2×C71semidirect
871. #2992C2×C71semidirect
872. C71#62156direct (N × H)
876. #557C22×C71semidirect
877. #556C22×C71semidirect
880. #554C22×C71semidirect
884. #553C22×C71semidirect
889. D4×Q8C22×C71semidirect
892. #547C22×C71semidirect
897. #544C22×C71semidirect
898. #544C22×C71semidirect
900. #542C22×C71semidirect
901. #542C22×C71semidirect
909. C2×C4⋊Q8C22×C71semidirect
912. #529C22×C71semidirect
918. #501C22×C71semidirect
919. #501C22×C71semidirect
920. #501C22×C71semidirect
921. #501C22×C71semidirect
922. #499C22×C71semidirect
923. #498C22×C71semidirect
925. #489C22×C71semidirect
926. #489C22×C71semidirect
927. #489C22×C71semidirect
928. #488C22×C71semidirect
930. #485C22×C71semidirect
931. #485C22×C71semidirect
932. #484C22×C71semidirect
933. #484C22×C71semidirect
934. #483C22×C71semidirect
935. #483C22×C71semidirect
936. #483C22×C71semidirect
938. #482C22×C71semidirect
939. #482C22×C71semidirect
940. #482C22×C71semidirect
944. #481C22×C71semidirect
945. #481C22×C71semidirect
946. #480C22×C71semidirect
947. #480C22×C71semidirect
948. #479C22×C71semidirect
949. #479C22×C71semidirect
950. #479C22×C71semidirect
951. #479C22×C71semidirect
955. #478C22×C71semidirect
956. #478C22×C71semidirect
957. #478C22×C71semidirect
958. #478C22×C71semidirect
959. #478C22×C71semidirect
965. #476C22×C71semidirect
966. #476C22×C71semidirect
967. #476C22×C71semidirect
968. #476C22×C71semidirect
969. #476C22×C71semidirect
970. #476C22×C71semidirect
971. #475C22×C71semidirect
972. #475C22×C71semidirect
973. #475C22×C71semidirect
974. #475C22×C71semidirect
976. #474C22×C71semidirect
977. #474C22×C71semidirect
978. #470C22×C71semidirect
980. #469C22×C71semidirect
981. #468C22×C71semidirect
982. #467C22×C71semidirect
984. #466C22×C71semidirect
987. #465C22×C71semidirect
988. #465C22×C71semidirect
989. #465C22×C71semidirect
990. #464C22×C71semidirect
991. #464C22×C71semidirect
992. #464C22×C71semidirect
994. #463C22×C71semidirect
995. #463C22×C71semidirect
996. #463C22×C71semidirect
997. #463C22×C71semidirect
1006. #446C22×C71semidirect
1007. #446C22×C71semidirect
1010. #442C22×C71semidirect
1011. #442C22×C71semidirect
1012. #441C22×C71semidirect
1015. #440C22×C71semidirect
1017. C4×SD16C22×C71semidirect
1018. C4×SD16C22×C71semidirect
1021. #435C22×C71semidirect
1022. #435C22×C71semidirect
1023. #435C22×C71semidirect
1025. C8×D4C22×C71semidirect
1026. #433C22×C71semidirect
1027. #433C22×C71semidirect
1028. #432C22×C71semidirect
1029. #428C22×C71semidirect
1030. #428C22×C71semidirect
1031. #427C22×C71semidirect
1032. C2×#106C22×C71semidirect
1033. C2×#106C22×C71semidirect
1034. C2×#106C22×C71semidirect
1035. #424C22×C71semidirect
1036. #424C22×C71semidirect
1037. C2×C4⋊C8C22×C71semidirect

Maximal subgroups

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

subgroupindex
C71×#35522
C71×#35132
C71×#33882
C71×#33842
C71×#33732
C71×#33712
C71×#33502
C71×#33452
C71×#33442
C71×#33372
C71×#33352
C71×#33182
C71×#33142
C71×#33112
C71×#33062
C71×#32972
C71×#32952
C71×#32632
C71×#32572
C71×#32502
C71×#32442
C71×#32412
C71×#32392
C71×#31252
C71×#31182
C71×#31142
C71×#30842
C71×#30812
C2×#476×C712
C71×#29922
#6215671