Finite Group Databasebeta

← C71×#62159 #31883031

Subgroups — C71×#62159 #31883031

Order 18176.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C71×#3565C211yesmaximal, characteristic, complemented
2C71×#3514C211yesmaximal, characteristic, complemented
3C71×#3386C211yesmaximal, characteristic, complemented
4C71×#3384C211yesmaximal, characteristic, complemented
5C71×#3371C211yesmaximal, characteristic, complemented
6C71×#3370C211yesmaximal, characteristic, complemented
7C71×#3350C211yesmaximal, characteristic, complemented
8C71×#3349C211yesmaximal, characteristic, complemented
9C71×#3348C211yesmaximal, characteristic, complemented
10C71×#3347C211yesmaximal, characteristic, complemented
11C71×#3341C211yesmaximal, characteristic, complemented
12C71×#3340C211yesmaximal, characteristic, complemented
13C71×#3319C211yesmaximal, characteristic, complemented
14C71×#3318C211yesmaximal, characteristic, complemented
15C71×#3311C211yesmaximal, characteristic, complemented
16C71×#3310C211yesmaximal, characteristic, complemented
17C71×#3297C211yesmaximal, characteristic, complemented
18C71×#3296C211yesmaximal, characteristic, complemented
19C71×#3263C211yesmaximal, characteristic, complemented
20C71×#3262C211yesmaximal, characteristic, complemented
21C71×#3247C211yesmaximal, characteristic, complemented
22C71×#3244C211yesmaximal, characteristic, complemented
23C71×#3243C211yesmaximal, characteristic, complemented
24C71×#3235C211yesmaximal, characteristic, complemented
25C71×#3118C211yesmaximal, characteristic, complemented
26C71×#3118C211yesmaximal, characteristic, complemented
27C71×#3111C211yesmaximal, characteristic, complemented
28C71×#3081C211yesmaximal, characteristic, complemented
29C71×#3081C211yesmaximal, characteristic, complemented
30C71×#3076C211yesmaximal, characteristic, complemented
31C71×#2992C211yesmaximal, characteristic, complemented
32#563×C71—21no—
33#562×C71—21no—
34#559×C71C2211yescharacteristic
35#557×C71C2211yescharacteristic, complemented
36#556×C71—21no—
37#556×C71C2211yescharacteristic
38#556×C71C2211yescharacteristic, complemented
39#555×C71C2211yescharacteristic
40#555×C71C2211yescharacteristic
41#555×C71C2211yescharacteristic, complemented
42#554×C71C2211yescharacteristic, complemented
43#553×C71C2211yescharacteristic
44#553×C71C2211yescharacteristic, complemented
45#552×C71—21no—
46#552×C71C2211yescharacteristic
47#552×C71C2211yescharacteristic, complemented
48#551×C71—21no—
49#551×C71—21no—
50D4×Q8×C71C2211yescharacteristic
51#548×C71—21no—
52#546×C71—21no—
53#546×C71C2211yescharacteristic
54#546×C71C2211yescharacteristic
55D42×C71C2211yescharacteristic
56#544×C71C2211yescharacteristic, complemented
57#544×C71C2211yescharacteristic, complemented
58#542×C71—21no—
59#542×C71—21no—
60#542×C71C2211yescharacteristic
61#542×C71C2211yescharacteristic
62#542×C71C2211yescharacteristic, complemented
63#542×C71C2211yescharacteristic, complemented
64#541×C71—21no—
65#539×C71—21no—
66#538×C71—21no—
67#538×C71—21no—
68#533×C71C2211yescharacteristic, complemented
69#532×C71C2211yescharacteristic
70#529×C71—21no—
71#529×C71C2211yescharacteristic
72#529×C71C2211yescharacteristic, complemented
73C2×#124×C71—21no—
74#518×C71C2211yescharacteristic
75#518×C71C2211yescharacteristic
76C4×#41×C71C2211yescharacteristic
77#501×C71C2211yescharacteristic, complemented
78#501×C71C2211yescharacteristic, complemented
79#501×C71C2211yescharacteristic, complemented
80#501×C71C2211yescharacteristic, complemented
81#500×C71C2211yescharacteristic, complemented
82#498×C71C2211yescharacteristic, complemented
83#490×C71C2211yescharacteristic
84#490×C71C2211yescharacteristic
85#489×C71C2211yescharacteristic, complemented
86#489×C71C2211yescharacteristic, complemented
87#488×C71C2211yescharacteristic, complemented
88#488×C71C2211yescharacteristic, complemented
89#485×C71C2211yescharacteristic, complemented
90#485×C71C2211yescharacteristic, complemented
91#485×C71C2211yescharacteristic, complemented
92#485×C71C2211yescharacteristic, complemented
93#485×C71C2211yescharacteristic, complemented
94#484×C71C2211yescharacteristic, complemented
95#483×C71C2211yescharacteristic, complemented
96#482×C71C2211yescharacteristic
97#482×C71C2211yescharacteristic
98#482×C71C2211yescharacteristic, complemented
99#482×C71C2211yescharacteristic, complemented
100#482×C71C2211yescharacteristic, complemented
101#482×C71C2211yescharacteristic, complemented
102#482×C71C2211yescharacteristic, complemented
103#482×C71C2211yescharacteristic, complemented
104#482×C71C2211yescharacteristic, complemented
105#481×C71C2211yescharacteristic
106#480×C71C2211yescharacteristic
107#479×C71C2211yescharacteristic, complemented
108#479×C71C2211yescharacteristic, complemented
109#479×C71C2211yescharacteristic, complemented
110#478×C71C2211yescharacteristic
111#478×C71C2211yescharacteristic
112#478×C71C2211yescharacteristic
113#478×C71C2211yescharacteristic
114#478×C71C2211yescharacteristic
115#478×C71C2211yescharacteristic, complemented
116#478×C71C2211yescharacteristic, complemented
117#478×C71C2211yescharacteristic, complemented
118#478×C71C2211yescharacteristic, complemented
119#477×C71C2211yescharacteristic, complemented
120#477×C71C2211yescharacteristic, complemented
121#477×C71C2211yescharacteristic, complemented
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#475×C71C2211yescharacteristic, complemented
130#475×C71C2211yescharacteristic, complemented
131#474×C71C2211yescharacteristic
132#474×C71C2211yescharacteristic
133#474×C71C2211yescharacteristic, complemented
134#474×C71C2211yescharacteristic, complemented
135#474×C71C2211yescharacteristic, complemented
136#474×C71C2211yescharacteristic, complemented
137#470×C71C2211yescharacteristic, complemented
138#469×C71C2211yescharacteristic
139#468×C71C2211yescharacteristic
140#468×C71C2211yescharacteristic, complemented
141#467×C71C2211yescharacteristic, complemented
142#466×C71C2211yescharacteristic
143#466×C71C2211yescharacteristic, complemented
144#466×C71C2211yescharacteristic, complemented
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#441×C71C2211yescharacteristic, complemented
171#440×C71C2211yescharacteristic
172#440×C71C2211yescharacteristic
173#440×C71C2211yescharacteristic, complemented
174#440×C71C2211yescharacteristic, complemented
175C4×SD16×C71C2211yescharacteristic
176C4×SD16×C71C2211yescharacteristic, complemented
177C4×D8×C71C2211yescharacteristic
178C4×D8×C71C2211yescharacteristic, complemented
179#435×C71C2211yescharacteristic
180#435×C71C2211yescharacteristic
181#435×C71C2211yescharacteristic, complemented
182#435×C71C2211yescharacteristic, complemented
183C8×D4×C71C2211yescharacteristic, complemented
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
191#427×C71C2211yescharacteristic, complemented
192#427×C71C2211yescharacteristic, complemented
193#427×C71C2211yescharacteristic, complemented
194#424×C71C2211yescharacteristic, complemented
195#424×C71C2211yescharacteristic, complemented
196C2×C4⋊C8×C71C2211yescharacteristic, complemented
197#418×C71C2211yescharacteristic
198#418×C71C2211yescharacteristic
199#416×C71C2211yescharacteristic
200#416×C71C2211yescharacteristic
201C2×#102×C71C2211yescharacteristic
202C2×#102×C71C2211yescharacteristic
203C2×#41×C71—21no—
204C2×#41×C71C2311yescharacteristic
205C22×Q8×C71—21no—
206C22×D4×C71—21no—
207C22×D4×C71C2311yescharacteristic
208C22×D4×C71C2311yescharacteristic
209C2×Q16×C71C2311yescharacteristic
210C2×SD16×C71C2311yescharacteristic
211C2×SD16×C71C2311yescharacteristic
212C2×SD16×C71C2311yescharacteristic
213C2×SD16×C71C2311yescharacteristic
214C2×D8×C71C2311yescharacteristic
215C2×D8×C71C2311yescharacteristic
216C2×D8×C71C2311yescharacteristic
217C2×M16×C71C2311yescharacteristic
218C2×M16×C71C2311yescharacteristic
219C22×C8×C71C2311yescharacteristic
220C22×C8×C71C2311yescharacteristic
221C22×C8×C71C2311yescharacteristic
222C22×C8×C71C2311yescharacteristic
223C4⋊Q8×C71—21no—
224C4⋊Q8×C71—21no—
225C4⋊Q8×C71—21no—
226C4⋊Q8×C71C2311yescharacteristic
227C4⋊Q8×C71C2311yescharacteristic
228C4⋊Q8×C71C2311yescharacteristic
229C4⋊Q8×C71C2311yescharacteristic
230C4⋊Q8×C71C2311yescharacteristic
231C4⋊Q8×C71C2311yescharacteristic
232C4⋊Q8×C71C2311yescharacteristic
233#127×C71C2311yescharacteristic
234#126×C71—21no—
235#126×C71—21no—
236#126×C71—21no—
237#126×C71—21no—
238#126×C71—21no—
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×C71D411yescharacteristic
248#126×C71D411yescharacteristic
249#125×C71—21no—
250#125×C71—21no—
251#125×C71—21no—
252#125×C71—21no—
253#125×C71—21no—
254#125×C71—21no—
255#125×C71D411yescharacteristic
256#125×C71C2311yescharacteristic
257#125×C71C2311yescharacteristic
258#125×C71C2311yescharacteristic
259#125×C71C2311yescharacteristic
260#125×C71C2311yescharacteristic
261#124×C71—21no—
262#124×C71—21no—
263#124×C71—21no—
264#124×C71—21no—
265#124×C71—21no—
266#124×C71—21no—
267#124×C71—21no—
268#124×C71—21no—
269#124×C71—21no—
270#124×C71—21no—
271#124×C71—21no—
272#124×C71—21no—
273#124×C71—21no—
274#124×C71—21no—
275#124×C71D411yescharacteristic
276#124×C71C2311yescharacteristic
277#124×C71C2311yescharacteristic
278#124×C71C2311yescharacteristic
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×C71D411yescharacteristic
293#123×C71D411yescharacteristic
294C22⋊Q8×C71—21no—
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×C71D411yescharacteristic
311C22⋊Q8×C71C2311yescharacteristic
312C22⋊Q8×C71C2311yescharacteristic
313C22⋊Q8×C71C2311yescharacteristic
314C22⋊Q8×C71C2311yescharacteristic
315C22⋊Q8×C71C2311yescharacteristic
316#121×C71—21no—
317#121×C71—21no—
318#121×C71—21no—
319#121×C71—21no—
320#121×C71—21no—
321#121×C71—21no—
322#121×C71—21no—
323#121×C71—21no—
324#121×C71—21no—
325#121×C71D411yescharacteristic
326#121×C71C2311yescharacteristic
327#121×C71C2311yescharacteristic
328#121×C71C2311yescharacteristic
329#121×C71C2311yescharacteristic
330#121×C71C2311yescharacteristic
331#121×C71C2311yescharacteristic
332#121×C71C2311yescharacteristic
333#120×C71—21no—
334#120×C71—21no—
335#120×C71—21no—
336#120×C71—21no—
337C4×Q8×C71—21no—
338C4×Q8×C71—21no—
339C4×Q8×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×C71C2311yescharacteristic
360C4×D4×C71C2311yescharacteristic
361C4×D4×C71C2311yescharacteristic
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
373#117×C71—21no—
374#117×C71—21no—
375#117×C71—21no—
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
385#117×C71C2311yescharacteristic
386#117×C71C2311yescharacteristic
387#117×C71C2311yescharacteristic
388#117×C71C2311yescharacteristic
389C2×C4⋊C4×C71—21no—
390C2×C4⋊C4×C71C2311yescharacteristic
391C2×C4⋊C4×C71C2311yescharacteristic
392C2×C22⋊C4×C71—21no—
393C2×C22⋊C4×C71—21no—
394C2×C22⋊C4×C71—21no—
395C2×C22⋊C4×C71—21no—
396C2×C22⋊C4×C71—21no—
397C2×C22⋊C4×C71—21no—
398C2×C42×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#107×C71C2311yescharacteristic
409#107×C71C2311yescharacteristic
410#107×C71C2311yescharacteristic
411#107×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—
483C2×Q8×C71—21no—
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—82no—
491C2×Q8×C71C2×D411yescharacteristic
492C2×Q8×C71C2411yescharacteristic
493C2×Q8×C71C2411yescharacteristic
494C2×D4×C71—22no—
495C2×D4×C71—22no—
496C2×D4×C71—21no—
497C2×D4×C71—21no—
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—41no—
509C2×D4×C71—41no—
510C2×D4×C71—82no—
511C2×D4×C71C2×D411yescharacteristic
512C2×D4×C71C2×D411yescharacteristic
513C2×D4×C71C2×D411yescharacteristic
514C2×D4×C71C2411yescharacteristic
515C2×D4×C71C2411yescharacteristic
516C2×D4×C71C2411yescharacteristic
517C2×D4×C71C2411yescharacteristic
518C22×C4×C71—21no—
519C22×C4×C71—21no—
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×C71C2×D411yescharacteristic
533C22×C4×C71C2×D411yescharacteristic
534C22×C4×C71C2411yescharacteristic
535C22×C4×C71C2411yescharacteristic
536C22×C4×C71C2411yescharacteristic
537Q16×C71—41no—
538SD16×C71—22no—
539SD16×C71—41no—
540SD16×C71—41no—
541SD16×C71—41no—
542D8×C71—22no—
543D8×C71—41no—
544D8×C71—41no—
545M16×C71—41no—
546M16×C71—41no—
547C2×C8×C71—41no—
548C2×C8×C71—41no—
549C2×C8×C71—41no—
550C2×C8×C71—41no—
551C2×C8×C71C2411yescharacteristic
552C2×C8×C71C2411yescharacteristic
553C2×C8×C71C2411yescharacteristic
554C2×C8×C71C2411yescharacteristic
555C2×C8×C71C2411yescharacteristic
556C2×C8×C71C2411yescharacteristic
557C2×C8×C71C2411yescharacteristic
558C2×C8×C71C2411yescharacteristic
559C4⋊C4×C71—21no—
560C4⋊C4×C71—21no—
561C4⋊C4×C71—21no—
562C4⋊C4×C71—21no—
563C4⋊C4×C71—21no—
564C4⋊C4×C71—21no—
565C4⋊C4×C71—21no—
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×C71C2×D411yescharacteristic
589C4⋊C4×C71C2×D411yescharacteristic
590C4⋊C4×C71C2×D411yescharacteristic
591C4⋊C4×C71C2×D411yescharacteristic
592C4⋊C4×C71C2×D411yescharacteristic
593C4⋊C4×C71C2×D411yescharacteristic
594C4⋊C4×C71C2×D411yescharacteristic
595C4⋊C4×C71C2×D411yescharacteristic
596C4⋊C4×C71C2×D411yescharacteristic
597C4⋊C4×C71C2×D411yescharacteristic
598C4⋊C4×C71C2411yescharacteristic
599C4⋊C4×C71C2411yescharacteristic
600C4⋊C4×C71C2411yescharacteristic
601C4⋊C4×C71C2411yescharacteristic
602C4⋊C4×C71C2411yescharacteristic
603C4⋊C4×C71C2411yescharacteristic
604C4⋊C4×C71C2411yescharacteristic
605C4⋊C4×C71C2411yescharacteristic
606C4⋊C4×C71C2411yescharacteristic
607C4⋊C4×C71C2411yescharacteristic
608C22⋊C4×C71—21no—
609C22⋊C4×C71—21no—
610C22⋊C4×C71—21no—
611C22⋊C4×C71—21no—
612C22⋊C4×C71—21no—
613C22⋊C4×C71—21no—
614C22⋊C4×C71—21no—
615C22⋊C4×C71—21no—
616C22⋊C4×C71—21no—
617C22⋊C4×C71—21no—
618C22⋊C4×C71—21no—
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×C71C2×D411yescharacteristic
645C22⋊C4×C71C2×D411yescharacteristic
646C22⋊C4×C71C2×D411yescharacteristic
647C22⋊C4×C71C2×D411yescharacteristic
648C22⋊C4×C71C2×D411yescharacteristic
649C22⋊C4×C71C2×D411yescharacteristic
650C22⋊C4×C71C2×D411yescharacteristic
651C22⋊C4×C71C2×D411yescharacteristic
652C22⋊C4×C71C2×D411yescharacteristic
653C22⋊C4×C71C2×D411yescharacteristic
654C42×C71—21no—
655C42×C71—21no—
656C42×C71—21no—
657C42×C71—21no—
658C42×C71—21no—
659C42×C71—21no—
660C42×C71—21no—
661C42×C71—21no—
662C42×C71—21no—
663C42×C71—21no—
664C42×C71—21no—
665C42×C71—21no—
666C42×C71C2×D411yescharacteristic
667C42×C71C2×D411yescharacteristic
668C42×C71C2411yescharacteristic
669C42×C71C2411yescharacteristic
670C42×C71C2411yescharacteristic
671C42×C71C2411yescharacteristic
672C23×C71—21no—
673C23×C71—21no—
674C23×C71—21no—
675C23×C71—21no—
676C23×C71—42no—
677C23×C71—42no—
678C23×C71—81no—
679C23×C71—81no—
680C23×C71—81no—
681C23×C71—81no—
682C23×C71C22×D411yescharacteristic
683C23×C71C22×D411yescharacteristic
684C23×C71C22×D411yescharacteristic
685Q8×C71—21no—
686Q8×C71—21no—
687Q8×C71—21no—
688Q8×C71—21no—
689Q8×C71—41no—
690Q8×C71—42no—
691Q8×C71—81no—
692Q8×C71—81no—
693Q8×C71—81no—
694Q8×C71—81no—
695Q8×C71—81no—
696Q8×C71—81no—
697D4×C71—21no—
698D4×C71—21no—
699D4×C71—21no—
700D4×C71—21no—
701D4×C71—21no—
702D4×C71—21no—
703D4×C71—21no—
704D4×C71—41no—
705D4×C71—41no—
706D4×C71—41no—
707D4×C71—42no—
708D4×C71—42no—
709D4×C71—42no—
710D4×C71—42no—
711D4×C71—81no—
712D4×C71—81no—
713D4×C71—81no—
714D4×C71—81no—
715D4×C71—81no—
716D4×C71—81no—
717D4×C71—81no—
718D4×C71—81no—
719D4×C712−1+412yes—
720C2×C4×C71—21no—
721C2×C4×C71—21no—
722C2×C4×C71—21no—
723C2×C4×C71—21no—
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—41no—
739C2×C4×C71—41no—
740C2×C4×C71—42no—
741C2×C4×C71—42no—
742C2×C4×C71—81no—
743C2×C4×C71—81no—
744C2×C4×C71—81no—
745C2×C4×C71—81no—
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×C71C22×D411yescharacteristic
755C2×C4×C71C22×D411yescharacteristic
756C2×C4×C71C22×D411yescharacteristic
757C2×C4×C71C22×D411yescharacteristic
758C2×C4×C71C22×D411yescharacteristic
759C2×C4×C71C22×D411yescharacteristic
760C2×C4×C71C22×D411yescharacteristic
761C2×C4×C71C22×D411yescharacteristic
762C2×C4×C71C22×D411yescharacteristic
763C2×C4×C71C22×D411yescharacteristic
764C2×C4×C71C22×D411yescharacteristic
765C2×C4×C71C2511yescharacteristic
766C8×C71—21no—
767C8×C71—21no—
768C8×C71—21no—
769C8×C71—21no—
770C8×C71—21no—
771C8×C71—21no—
772C8×C71—21no—
773C8×C71—21no—
774C22×C71—21no—
775C22×C71—21no—
776C22×C71—21no—
777C22×C71—21no—
778C22×C71—21no—
779C22×C71—21no—
780C22×C71—21no—
781C22×C71—21no—
782C22×C71—21no—
783C22×C71—22no—
784C22×C71—41no—
785C22×C71—41no—
786C22×C71—41no—
787C22×C71—41no—
788C22×C71—41no—
789C22×C71—41no—
790C22×C71—41no—
791C22×C71—41no—
792C22×C71—41no—
793C22×C71—41no—
794C22×C71—41no—
795C22×C71—162no—
796C22×C71—162no—
797C22×C71C23×D411yescharacteristic
798C4×C71—21no—
799C4×C71—21no—
800C4×C71—21no—
801C4×C71—21no—
802C4×C71—21no—
803C4×C71—21no—
804C4×C71—21no—
805C4×C71—21no—
806C4×C71—21no—
807C4×C71—21no—
808C4×C71—21no—
809C4×C71—41no—
810C4×C71—41no—
811C4×C71—41no—
812C4×C71—41no—
813C4×C71—41no—
814C4×C71—41no—
815C4×C71—41no—
816C4×C71—41no—
817C4×C71—41no—
818C4×C71—41no—
819C4×C71—41no—
820C4×C71—41no—
821C4×C71C2×2−1+411yescharacteristic
822C4×C71#58511yescharacteristic
823#62159C7111yesmaximal, characteristic, direct product factor, Sylow
824C2×C71—41no—
825C2×C71—41no—
826C2×C71—41no—
827C2×C71—42no—
828C2×C71—81no—
829C2×C71—81no—
830C2×C71—81no—
831C2×C71#348911yescharacteristic
832C2×C71#358411yescharacteristic
833C2×C71#358511yescharacteristic
834#3565C2×C7111yescharacteristic, complemented
835#3514C2×C7111yescharacteristic, complemented
836#3386C2×C7111yescharacteristic, complemented
837#3384C2×C7111yescharacteristic, complemented
838#3371C2×C7111yescharacteristic, complemented
839#3370C2×C7111yescharacteristic, complemented
840#3350C2×C7111yescharacteristic, complemented
841#3349C2×C7111yescharacteristic, complemented
842#3348C2×C7111yescharacteristic, complemented
843#3347C2×C7111yescharacteristic, complemented
844#3341C2×C7111yescharacteristic, complemented
845#3340C2×C7111yescharacteristic, complemented
846#3319C2×C7111yescharacteristic, complemented
847#3318C2×C7111yescharacteristic, complemented
848#3311C2×C7111yescharacteristic, complemented
849#3310C2×C7111yescharacteristic, complemented
850#3297C2×C7111yescharacteristic, complemented
851#3296C2×C7111yescharacteristic, complemented
852#3263C2×C7111yescharacteristic, complemented
853#3262C2×C7111yescharacteristic, complemented
854#3247C2×C7111yescharacteristic, complemented
855#3244C2×C7111yescharacteristic, complemented
856#3243C2×C7111yescharacteristic, complemented
857#3235C2×C7111yescharacteristic, complemented
858#3118C2×C7111yescharacteristic, complemented
859#3118C2×C7111yescharacteristic, complemented
860#3111C2×C7111yescharacteristic, complemented
861#3081C2×C7111yescharacteristic, complemented
862#3081C2×C7111yescharacteristic, complemented
863#3076C2×C7111yescharacteristic, complemented
864#2992C2×C7111yescharacteristic, complemented
865C71#6215911yescharacteristic, direct product factor, Sylow
866#563—21no—
867#562—21no—
868#559C22×C7111yescharacteristic
869#557C22×C7111yescharacteristic, complemented
870#556—21no—
871#556C22×C7111yescharacteristic
872#556C22×C7111yescharacteristic, complemented
873#555C22×C7111yescharacteristic
874#555C22×C7111yescharacteristic
875#555C22×C7111yescharacteristic, complemented
876#554C22×C7111yescharacteristic, complemented
877#553C22×C7111yescharacteristic
878#553C22×C7111yescharacteristic, complemented
879#552—21no—
880#552C22×C7111yescharacteristic
881#552C22×C7111yescharacteristic, complemented
882#551—21no—
883#551—21no—
884D4×Q8C22×C7111yescharacteristic
885#548—21no—
886#546—21no—
887#546C22×C7111yescharacteristic
888#546C22×C7111yescharacteristic
889D42C22×C7111yescharacteristic
890#544C22×C7111yescharacteristic, complemented
891#544C22×C7111yescharacteristic, complemented
892#542—21no—
893#542—21no—
894#542C22×C7111yescharacteristic
895#542C22×C7111yescharacteristic
896#542C22×C7111yescharacteristic, complemented
897#542C22×C7111yescharacteristic, complemented
898#541—21no—
899#539—21no—
900#538—21no—
901#538—21no—
902#533C22×C7111yescharacteristic, complemented
903#532C22×C7111yescharacteristic
904#529—21no—
905#529C22×C7111yescharacteristic
906#529C22×C7111yescharacteristic, complemented
907C2×#124—21no—
908#518C22×C7111yescharacteristic
909#518C22×C7111yescharacteristic
910C4×#41C22×C7111yescharacteristic
911#501C22×C7111yescharacteristic, complemented
912#501C22×C7111yescharacteristic, complemented
913#501C22×C7111yescharacteristic, complemented
914#501C22×C7111yescharacteristic, complemented
915#500C22×C7111yescharacteristic, complemented
916#498C22×C7111yescharacteristic, complemented
917#490C22×C7111yescharacteristic
918#490C22×C7111yescharacteristic
919#489C22×C7111yescharacteristic, complemented
920#489C22×C7111yescharacteristic, complemented
921#488C22×C7111yescharacteristic, complemented
922#488C22×C7111yescharacteristic, complemented
923#485C22×C7111yescharacteristic, complemented
924#485C22×C7111yescharacteristic, complemented
925#485C22×C7111yescharacteristic, complemented
926#485C22×C7111yescharacteristic, complemented
927#485C22×C7111yescharacteristic, complemented
928#484C22×C7111yescharacteristic, complemented
929#483C22×C7111yescharacteristic, complemented
930#482C22×C7111yescharacteristic
931#482C22×C7111yescharacteristic
932#482C22×C7111yescharacteristic, complemented
933#482C22×C7111yescharacteristic, complemented
934#482C22×C7111yescharacteristic, complemented
935#482C22×C7111yescharacteristic, complemented
936#482C22×C7111yescharacteristic, complemented
937#482C22×C7111yescharacteristic, complemented
938#482C22×C7111yescharacteristic, complemented
939#481C22×C7111yescharacteristic
940#480C22×C7111yescharacteristic
941#479C22×C7111yescharacteristic, complemented
942#479C22×C7111yescharacteristic, complemented
943#479C22×C7111yescharacteristic, complemented
944#478C22×C7111yescharacteristic
945#478C22×C7111yescharacteristic
946#478C22×C7111yescharacteristic
947#478C22×C7111yescharacteristic
948#478C22×C7111yescharacteristic
949#478C22×C7111yescharacteristic, complemented
950#478C22×C7111yescharacteristic, complemented
951#478C22×C7111yescharacteristic, complemented
952#478C22×C7111yescharacteristic, complemented
953#477C22×C7111yescharacteristic, complemented
954#477C22×C7111yescharacteristic, complemented
955#477C22×C7111yescharacteristic, complemented
956#476C22×C7111yescharacteristic
957#476C22×C7111yescharacteristic
958#476C22×C7111yescharacteristic, complemented
959#476C22×C7111yescharacteristic, complemented
960#476C22×C7111yescharacteristic, complemented
961#476C22×C7111yescharacteristic, complemented
962#476C22×C7111yescharacteristic, complemented
963#475C22×C7111yescharacteristic, complemented
964#475C22×C7111yescharacteristic, complemented
965#474C22×C7111yescharacteristic
966#474C22×C7111yescharacteristic
967#474C22×C7111yescharacteristic, complemented
968#474C22×C7111yescharacteristic, complemented
969#474C22×C7111yescharacteristic, complemented
970#474C22×C7111yescharacteristic, complemented
971#470C22×C7111yescharacteristic, complemented
972#469C22×C7111yescharacteristic
973#468C22×C7111yescharacteristic
974#468C22×C7111yescharacteristic, complemented
975#467C22×C7111yescharacteristic, complemented
976#466C22×C7111yescharacteristic
977#466C22×C7111yescharacteristic, complemented
978#466C22×C7111yescharacteristic, complemented
979#465C22×C7111yescharacteristic
980#465C22×C7111yescharacteristic, complemented
981#465C22×C7111yescharacteristic, complemented
982#465C22×C7111yescharacteristic, complemented
983#464C22×C7111yescharacteristic, complemented
984#464C22×C7111yescharacteristic, complemented
985#464C22×C7111yescharacteristic, complemented
986#463C22×C7111yescharacteristic
987#463C22×C7111yescharacteristic, complemented
988#463C22×C7111yescharacteristic, complemented
989#463C22×C7111yescharacteristic, complemented
990#463C22×C7111yescharacteristic, complemented
991#460C22×C7111yescharacteristic
992#459C22×C7111yescharacteristic
993#452C22×C7111yescharacteristic
994#450C22×C7111yescharacteristic
995#450C22×C7111yescharacteristic
996#449C22×C7111yescharacteristic
997#447C22×C7111yescharacteristic
998#447C22×C7111yescharacteristic
999#446C22×C7111yescharacteristic, complemented
1000#446C22×C7111yescharacteristic, complemented
1001#442C22×C7111yescharacteristic
1002#442C22×C7111yescharacteristic
1003#442C22×C7111yescharacteristic, complemented
1004#441C22×C7111yescharacteristic, complemented
1005#440C22×C7111yescharacteristic
1006#440C22×C7111yescharacteristic
1007#440C22×C7111yescharacteristic, complemented
1008#440C22×C7111yescharacteristic, complemented
1009C4×SD16C22×C7111yescharacteristic
1010C4×SD16C22×C7111yescharacteristic, complemented
1011C4×D8C22×C7111yescharacteristic
1012C4×D8C22×C7111yescharacteristic, complemented
1013#435C22×C7111yescharacteristic
1014#435C22×C7111yescharacteristic
1015#435C22×C7111yescharacteristic, complemented
1016#435C22×C7111yescharacteristic, complemented
1017C8×D4C22×C7111yescharacteristic, complemented
1018C8×D4C22×C7111yescharacteristic, complemented
1019#433C22×C7111yescharacteristic, complemented
1020#433C22×C7111yescharacteristic, complemented
1021#432C22×C7111yescharacteristic, complemented
1022#428C22×C7111yescharacteristic, complemented
1023#428C22×C7111yescharacteristic, complemented
1024#427C22×C7111yescharacteristic, complemented
1025#427C22×C7111yescharacteristic, complemented
1026#427C22×C7111yescharacteristic, complemented
1027#427C22×C7111yescharacteristic, complemented
1028#424C22×C7111yescharacteristic, complemented
1029#424C22×C7111yescharacteristic, complemented
1030C2×C4⋊C8C22×C7111yescharacteristic, complemented
1031#418C22×C7111yescharacteristic
1032#418C22×C7111yescharacteristic
1033#416C22×C7111yescharacteristic
1034#416C22×C7111yescharacteristic
1035C2×#102C22×C7111yescharacteristic
1036C2×#102C22×C7111yescharacteristic
1037C2×#41—21no—
1038C2×#41C23×C7111yescharacteristic
1039C22×Q8—21no—
1040C22×D4—21no—
1041C22×D4C23×C7111yescharacteristic
1042C22×D4C23×C7111yescharacteristic
1043C2×Q16C23×C7111yescharacteristic
1044C2×SD16C23×C7111yescharacteristic
1045C2×SD16C23×C7111yescharacteristic
1046C2×SD16C23×C7111yescharacteristic
1047C2×SD16C23×C7111yescharacteristic
1048C2×D8C23×C7111yescharacteristic
1049C2×D8C23×C7111yescharacteristic
1050C2×D8C23×C7111yescharacteristic
1051C2×M16C23×C7111yescharacteristic
1052C2×M16C23×C7111yescharacteristic
1053C22×C8C23×C7111yescharacteristic
1054C22×C8C23×C7111yescharacteristic
1055C22×C8C23×C7111yescharacteristic
1056C22×C8C23×C7111yescharacteristic
1057C4⋊Q8—21no—
1058C4⋊Q8—21no—
1059C4⋊Q8—21no—
1060C4⋊Q8C23×C7111yescharacteristic
1061C4⋊Q8C23×C7111yescharacteristic
1062C4⋊Q8C23×C7111yescharacteristic
1063C4⋊Q8C23×C7111yescharacteristic
1064C4⋊Q8C23×C7111yescharacteristic
1065C4⋊Q8C23×C7111yescharacteristic
1066C4⋊Q8C23×C7111yescharacteristic
1067#127C23×C7111yescharacteristic
1068#126—21no—
1069#126—21no—
1070#126—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
1079#126—21no—
1080#126—21no—
1081#126D4×C7111yescharacteristic
1082#126D4×C7111yescharacteristic
1083#125—21no—
1084#125—21no—
1085#125—21no—
1086#125—21no—
1087#125—21no—
1088#125—21no—
1089#125D4×C7111yescharacteristic
1090#125C23×C7111yescharacteristic
1091#125C23×C7111yescharacteristic
1092#125C23×C7111yescharacteristic
1093#125C23×C7111yescharacteristic
1094#125C23×C7111yescharacteristic
1095#124—21no—
1096#124—21no—
1097#124—21no—
1098#124—21no—
1099#124—21no—
1100#124—21no—
1101#124—21no—
1102#124—21no—
1103#124—21no—
1104#124—21no—
1105#124—21no—
1106#124—21no—
1107#124—21no—
1108#124—21no—
1109#124D4×C7111yescharacteristic
1110#124C23×C7111yescharacteristic
1111#124C23×C7111yescharacteristic
1112#124C23×C7111yescharacteristic
1113#123—21no—
1114#123—21no—
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#123D4×C7111yescharacteristic
1127#123D4×C7111yescharacteristic
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
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⋊Q8D4×C7111yescharacteristic
1145C22⋊Q8C23×C7111yescharacteristic
1146C22⋊Q8C23×C7111yescharacteristic
1147C22⋊Q8C23×C7111yescharacteristic
1148C22⋊Q8C23×C7111yescharacteristic
1149C22⋊Q8C23×C7111yescharacteristic
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121—21no—
1154#121—21no—
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121D4×C7111yescharacteristic
1160#121C23×C7111yescharacteristic
1161#121C23×C7111yescharacteristic
1162#121C23×C7111yescharacteristic
1163#121C23×C7111yescharacteristic
1164#121C23×C7111yescharacteristic
1165#121C23×C7111yescharacteristic
1166#121C23×C7111yescharacteristic
1167#120—21no—
1168#120—21no—
1169#120—21no—
1170#120—21no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8—21no—
1175C4×Q8—21no—
1176C4×Q8C23×C7111yescharacteristic
1177C4×Q8C23×C7111yescharacteristic
1178C4×Q8C23×C7111yescharacteristic
1179C4×Q8C23×C7111yescharacteristic
1180C4×Q8C23×C7111yescharacteristic
1181C4×Q8C23×C7111yescharacteristic
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—21no—
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4C23×C7111yescharacteristic
1194C4×D4C23×C7111yescharacteristic
1195C4×D4C23×C7111yescharacteristic
1196C4×D4C23×C7111yescharacteristic
1197C4×D4C23×C7111yescharacteristic
1198C4×D4C23×C7111yescharacteristic
1199C4×D4C23×C7111yescharacteristic
1200C4×D4C23×C7111yescharacteristic
1201C4×D4C23×C7111yescharacteristic
1202C4×D4C23×C7111yescharacteristic
1203C4×D4C23×C7111yescharacteristic
1204C4×D4C23×C7111yescharacteristic
1205C4×D4C23×C7111yescharacteristic
1206C4×D4C23×C7111yescharacteristic
1207#117—21no—
1208#117—21no—
1209#117—21no—
1210#117—21no—
1211#117—21no—
1212#117—21no—
1213#117—21no—
1214#117C23×C7111yescharacteristic
1215#117C23×C7111yescharacteristic
1216#117C23×C7111yescharacteristic
1217#117C23×C7111yescharacteristic
1218#117C23×C7111yescharacteristic
1219#117C23×C7111yescharacteristic
1220#117C23×C7111yescharacteristic
1221#117C23×C7111yescharacteristic
1222#117C23×C7111yescharacteristic
1223C2×C4⋊C4—21no—
1224C2×C4⋊C4C23×C7111yescharacteristic
1225C2×C4⋊C4C23×C7111yescharacteristic
1226C2×C22⋊C4—21no—
1227C2×C22⋊C4—21no—
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—21no—
1230C2×C22⋊C4—21no—
1231C2×C22⋊C4—21no—
1232C2×C42—21no—
1233C2×C42C23×C7111yescharacteristic
1234#107C23×C7111yescharacteristic
1235#107C23×C7111yescharacteristic
1236#107C23×C7111yescharacteristic
1237#107C23×C7111yescharacteristic
1238#107C23×C7111yescharacteristic
1239#107C23×C7111yescharacteristic
1240#107C23×C7111yescharacteristic
1241#107C23×C7111yescharacteristic
1242#107C23×C7111yescharacteristic
1243#107C23×C7111yescharacteristic
1244#107C23×C7111yescharacteristic
1245#107C23×C7111yescharacteristic
1246#106C23×C7111yescharacteristic
1247#106C23×C7111yescharacteristic
1248#106C23×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
1258C4⋊C8C23×C7111yescharacteristic
1259C4⋊C8C23×C7111yescharacteristic
1260C4⋊C8C23×C7111yescharacteristic
1261C4⋊C8C23×C7111yescharacteristic
1262C4⋊C8C23×C7111yescharacteristic
1263C4⋊C8C23×C7111yescharacteristic
1264C4⋊C8C23×C7111yescharacteristic
1265C4⋊C8C23×C7111yescharacteristic
1266C4⋊C8C23×C7111yescharacteristic
1267C4⋊C8C23×C7111yescharacteristic
1268#103C23×C7111yescharacteristic
1269#103C23×C7111yescharacteristic
1270#103C23×C7111yescharacteristic
1271#103C23×C7111yescharacteristic
1272#103C23×C7111yescharacteristic
1273#103C23×C7111yescharacteristic
1274#103C23×C7111yescharacteristic
1275#103C23×C7111yescharacteristic
1276#103C23×C7111yescharacteristic
1277#103C23×C7111yescharacteristic
1278#102C23×C7111yescharacteristic
1279#102C23×C7111yescharacteristic
1280#102C23×C7111yescharacteristic
1281#102C23×C7111yescharacteristic
1282#102C23×C7111yescharacteristic
1283#102C23×C7111yescharacteristic
1284#102C23×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
1300C22⋊C8C23×C7111yescharacteristic
1301C22⋊C8C23×C7111yescharacteristic
1302C22⋊C8C23×C7111yescharacteristic
1303C22⋊C8C23×C7111yescharacteristic
1304C22⋊C8C23×C7111yescharacteristic
1305C22⋊C8C23×C7111yescharacteristic
1306#97C23×C7111yescharacteristic
1307#97C23×C7111yescharacteristic
1308#97C23×C7111yescharacteristic
1309#97C23×C7111yescharacteristic
1310C4×C8C23×C7111yescharacteristic
1311C4×C8C23×C7111yescharacteristic
1312C24—21no—
1313C24—21no—
1314#41—22no—
1315#41—41no—
1316#41—82no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—21no—
1322C2×Q8—21no—
1323C2×Q8—21no—
1324C2×Q8—82no—
1325C2×Q8C2×D4×C7111yescharacteristic
1326C2×Q8C24×C7111yescharacteristic
1327C2×Q8C24×C7111yescharacteristic
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—82no—
1345C2×D4C2×D4×C7111yescharacteristic
1346C2×D4C2×D4×C7111yescharacteristic
1347C2×D4C2×D4×C7111yescharacteristic
1348C2×D4C24×C7111yescharacteristic
1349C2×D4C24×C7111yescharacteristic
1350C2×D4C24×C7111yescharacteristic
1351C2×D4C24×C7111yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4C2×D4×C7111yescharacteristic
1367C22×C4C2×D4×C7111yescharacteristic
1368C22×C4C24×C7111yescharacteristic
1369C22×C4C24×C7111yescharacteristic
1370C22×C4C24×C7111yescharacteristic
1371Q16—41no—
1372SD16—22no—
1373SD16—41no—
1374SD16—41no—
1375SD16—41no—
1376D8—22no—
1377D8—41no—
1378D8—41no—
1379M16—41no—
1380M16—41no—
1381C2×C8—41no—
1382C2×C8—41no—
1383C2×C8—41no—
1384C2×C8—41no—
1385C2×C8C24×C7111yescharacteristic
1386C2×C8C24×C7111yescharacteristic
1387C2×C8C24×C7111yescharacteristic
1388C2×C8C24×C7111yescharacteristic
1389C2×C8C24×C7111yescharacteristic
1390C2×C8C24×C7111yescharacteristic
1391C2×C8C24×C7111yescharacteristic
1392C2×C8C24×C7111yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
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⋊C4C2×D4×C7111yescharacteristic
1423C4⋊C4C2×D4×C7111yescharacteristic
1424C4⋊C4C2×D4×C7111yescharacteristic
1425C4⋊C4C2×D4×C7111yescharacteristic
1426C4⋊C4C2×D4×C7111yescharacteristic
1427C4⋊C4C2×D4×C7111yescharacteristic
1428C4⋊C4C2×D4×C7111yescharacteristic
1429C4⋊C4C2×D4×C7111yescharacteristic
1430C4⋊C4C2×D4×C7111yescharacteristic
1431C4⋊C4C2×D4×C7111yescharacteristic
1432C4⋊C4C24×C7111yescharacteristic
1433C4⋊C4C24×C7111yescharacteristic
1434C4⋊C4C24×C7111yescharacteristic
1435C4⋊C4C24×C7111yescharacteristic
1436C4⋊C4C24×C7111yescharacteristic
1437C4⋊C4C24×C7111yescharacteristic
1438C4⋊C4C24×C7111yescharacteristic
1439C4⋊C4C24×C7111yescharacteristic
1440C4⋊C4C24×C7111yescharacteristic
1441C4⋊C4C24×C7111yescharacteristic
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
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⋊C4C2×D4×C7111yescharacteristic
1479C22⋊C4C2×D4×C7111yescharacteristic
1480C22⋊C4C2×D4×C7111yescharacteristic
1481C22⋊C4C2×D4×C7111yescharacteristic
1482C22⋊C4C2×D4×C7111yescharacteristic
1483C22⋊C4C2×D4×C7111yescharacteristic
1484C22⋊C4C2×D4×C7111yescharacteristic
1485C22⋊C4C2×D4×C7111yescharacteristic
1486C22⋊C4C2×D4×C7111yescharacteristic
1487C22⋊C4C2×D4×C7111yescharacteristic
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—21no—
1500C42C2×D4×C7111yescharacteristic
1501C42C2×D4×C7111yescharacteristic
1502C42C24×C7111yescharacteristic
1503C42C24×C7111yescharacteristic
1504C42C24×C7111yescharacteristic
1505C42C24×C7111yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—42no—
1511C23—42no—
1512C23—81no—
1513C23—81no—
1514C23—81no—
1515C23—81no—
1516C23C22×D4×C7111yescharacteristic
1517C23C22×D4×C7111yescharacteristic
1518C23C22×D4×C7111yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—41no—
1524Q8—42no—
1525Q8—81no—
1526Q8—81no—
1527Q8—81no—
1528Q8—81no—
1529Q8—81no—
1530Q8—81no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—21no—
1537D4—21no—
1538D4—41no—
1539D4—41no—
1540D4—41no—
1541D4—42no—
1542D4—42no—
1543D4—42no—
1544D4—42no—
1545D4—81no—
1546D4—81no—
1547D4—81no—
1548D4—81no—
1549D4—81no—
1550D4—81no—
1551D4—81no—
1552D4—81no—
1553D42−1+4×C7112yes—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—42no—
1575C2×C4—42no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—81no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4C22×D4×C7111yescharacteristic
1589C2×C4C22×D4×C7111yescharacteristic
1590C2×C4C22×D4×C7111yescharacteristic
1591C2×C4C22×D4×C7111yescharacteristic
1592C2×C4C22×D4×C7111yescharacteristic
1593C2×C4C22×D4×C7111yescharacteristic
1594C2×C4C22×D4×C7111yescharacteristic
1595C2×C4C22×D4×C7111yescharacteristic
1596C2×C4C22×D4×C7111yescharacteristic
1597C2×C4C22×D4×C7111yescharacteristic
1598C2×C4C22×D4×C7111yescharacteristic
1599C2×C4C25×C7111yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—22no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—162no—
1630C22—162no—
1631C22C23×D4×C7111yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—21no—
1642C4—21no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4C2×2−1+4×C7111yescharacteristic
1656C4#585×C7111yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—41no—
1660C2—42no—
1661C2—81no—
1662C2—81no—
1663C2—81no—
1664C2C71×#348911yescharacteristic
1665C2C71×#358411yescharacteristic
1666C2C71×#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×#3565C2semidirect
2. C71×#3514C2semidirect
3. C71×#3386C2semidirect
4. C71×#3384C2semidirect
5. C71×#3371C2semidirect
6. C71×#3370C2semidirect
7. C71×#3350C2semidirect
8. C71×#3349C2semidirect
9. C71×#3348C2semidirect
10. C71×#3347C2semidirect
11. C71×#3341C2semidirect
12. C71×#3340C2semidirect
13. C71×#3319C2semidirect
14. C71×#3318C2semidirect
15. C71×#3311C2semidirect
16. C71×#3310C2semidirect
17. C71×#3297C2semidirect
18. C71×#3296C2semidirect
19. C71×#3263C2semidirect
20. C71×#3262C2semidirect
21. C71×#3247C2semidirect
22. C71×#3244C2semidirect
23. C71×#3243C2semidirect
24. C71×#3235C2semidirect
25. C71×#3118C2semidirect
26. C71×#3118C2semidirect
27. C71×#3111C2semidirect
28. C71×#3081C2semidirect
29. C71×#3081C2semidirect
30. C71×#3076C2semidirect
31. C71×#2992C2semidirect
35. #557×C71C22semidirect
38. #556×C71C22semidirect
41. #555×C71C22semidirect
42. #554×C71C22semidirect
44. #553×C71C22semidirect
47. #552×C71C22semidirect
56. #544×C71C22semidirect
57. #544×C71C22semidirect
62. #542×C71C22semidirect
63. #542×C71C22semidirect
68. #533×C71C22semidirect
72. #529×C71C22semidirect
77. #501×C71C22semidirect
78. #501×C71C22semidirect
79. #501×C71C22semidirect
80. #501×C71C22semidirect
81. #500×C71C22semidirect
82. #498×C71C22semidirect
85. #489×C71C22semidirect
86. #489×C71C22semidirect
87. #488×C71C22semidirect
88. #488×C71C22semidirect
89. #485×C71C22semidirect
90. #485×C71C22semidirect
91. #485×C71C22semidirect
92. #485×C71C22semidirect
93. #485×C71C22semidirect
94. #484×C71C22semidirect
95. #483×C71C22semidirect
98. #482×C71C22semidirect
99. #482×C71C22semidirect
100. #482×C71C22semidirect
101. #482×C71C22semidirect
102. #482×C71C22semidirect
103. #482×C71C22semidirect
104. #482×C71C22semidirect
107. #479×C71C22semidirect
108. #479×C71C22semidirect
109. #479×C71C22semidirect
115. #478×C71C22semidirect
116. #478×C71C22semidirect
117. #478×C71C22semidirect
118. #478×C71C22semidirect
119. #477×C71C22semidirect
120. #477×C71C22semidirect
121. #477×C71C22semidirect
124. #476×C71C22semidirect
125. #476×C71C22semidirect
126. #476×C71C22semidirect
127. #476×C71C22semidirect
128. #476×C71C22semidirect
129. #475×C71C22semidirect
130. #475×C71C22semidirect
133. #474×C71C22semidirect
134. #474×C71C22semidirect
135. #474×C71C22semidirect
136. #474×C71C22semidirect
137. #470×C71C22semidirect
140. #468×C71C22semidirect
141. #467×C71C22semidirect
143. #466×C71C22semidirect
144. #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. #441×C71C22semidirect
173. #440×C71C22semidirect
174. #440×C71C22semidirect
176. C4×SD16×C71C22semidirect
178. C4×D8×C71C22semidirect
181. #435×C71C22semidirect
182. #435×C71C22semidirect
183. C8×D4×C71C22semidirect
184. C8×D4×C71C22semidirect
185. #433×C71C22semidirect
186. #433×C71C22semidirect
187. #432×C71C22semidirect
188. #428×C71C22semidirect
189. #428×C71C22semidirect
190. #427×C71C22semidirect
191. #427×C71C22semidirect
192. #427×C71C22semidirect
193. #427×C71C22semidirect
194. #424×C71C22semidirect
195. #424×C71C22semidirect
196. C2×C4⋊C8×C71C22semidirect
823. #62159C71direct (N × H)
834. #3565C2×C71semidirect
835. #3514C2×C71semidirect
836. #3386C2×C71semidirect
837. #3384C2×C71semidirect
838. #3371C2×C71semidirect
839. #3370C2×C71semidirect
840. #3350C2×C71semidirect
841. #3349C2×C71semidirect
842. #3348C2×C71semidirect
843. #3347C2×C71semidirect
844. #3341C2×C71semidirect
845. #3340C2×C71semidirect
846. #3319C2×C71semidirect
847. #3318C2×C71semidirect
848. #3311C2×C71semidirect
849. #3310C2×C71semidirect
850. #3297C2×C71semidirect
851. #3296C2×C71semidirect
852. #3263C2×C71semidirect
853. #3262C2×C71semidirect
854. #3247C2×C71semidirect
855. #3244C2×C71semidirect
856. #3243C2×C71semidirect
857. #3235C2×C71semidirect
858. #3118C2×C71semidirect
859. #3118C2×C71semidirect
860. #3111C2×C71semidirect
861. #3081C2×C71semidirect
862. #3081C2×C71semidirect
863. #3076C2×C71semidirect
864. #2992C2×C71semidirect
865. C71#62159direct (N × H)
869. #557C22×C71semidirect
872. #556C22×C71semidirect
875. #555C22×C71semidirect
876. #554C22×C71semidirect
878. #553C22×C71semidirect
881. #552C22×C71semidirect
890. #544C22×C71semidirect
891. #544C22×C71semidirect
896. #542C22×C71semidirect
897. #542C22×C71semidirect
902. #533C22×C71semidirect
906. #529C22×C71semidirect
911. #501C22×C71semidirect
912. #501C22×C71semidirect
913. #501C22×C71semidirect
914. #501C22×C71semidirect
915. #500C22×C71semidirect
916. #498C22×C71semidirect
919. #489C22×C71semidirect
920. #489C22×C71semidirect
921. #488C22×C71semidirect
922. #488C22×C71semidirect
923. #485C22×C71semidirect
924. #485C22×C71semidirect
925. #485C22×C71semidirect
926. #485C22×C71semidirect
927. #485C22×C71semidirect
928. #484C22×C71semidirect
929. #483C22×C71semidirect
932. #482C22×C71semidirect
933. #482C22×C71semidirect
934. #482C22×C71semidirect
935. #482C22×C71semidirect
936. #482C22×C71semidirect
937. #482C22×C71semidirect
938. #482C22×C71semidirect
941. #479C22×C71semidirect
942. #479C22×C71semidirect
943. #479C22×C71semidirect
949. #478C22×C71semidirect
950. #478C22×C71semidirect
951. #478C22×C71semidirect
952. #478C22×C71semidirect
953. #477C22×C71semidirect
954. #477C22×C71semidirect
955. #477C22×C71semidirect
958. #476C22×C71semidirect
959. #476C22×C71semidirect
960. #476C22×C71semidirect
961. #476C22×C71semidirect
962. #476C22×C71semidirect
963. #475C22×C71semidirect
964. #475C22×C71semidirect
967. #474C22×C71semidirect
968. #474C22×C71semidirect
969. #474C22×C71semidirect
970. #474C22×C71semidirect
971. #470C22×C71semidirect
974. #468C22×C71semidirect
975. #467C22×C71semidirect
977. #466C22×C71semidirect
978. #466C22×C71semidirect
980. #465C22×C71semidirect
981. #465C22×C71semidirect
982. #465C22×C71semidirect
983. #464C22×C71semidirect
984. #464C22×C71semidirect
985. #464C22×C71semidirect
987. #463C22×C71semidirect
988. #463C22×C71semidirect
989. #463C22×C71semidirect
990. #463C22×C71semidirect
999. #446C22×C71semidirect
1000. #446C22×C71semidirect
1003. #442C22×C71semidirect
1004. #441C22×C71semidirect
1007. #440C22×C71semidirect
1008. #440C22×C71semidirect
1010. C4×SD16C22×C71semidirect
1012. C4×D8C22×C71semidirect
1015. #435C22×C71semidirect
1016. #435C22×C71semidirect
1017. C8×D4C22×C71semidirect
1018. C8×D4C22×C71semidirect
1019. #433C22×C71semidirect
1020. #433C22×C71semidirect
1021. #432C22×C71semidirect
1022. #428C22×C71semidirect
1023. #428C22×C71semidirect
1024. #427C22×C71semidirect
1025. #427C22×C71semidirect
1026. #427C22×C71semidirect
1027. #427C22×C71semidirect
1028. #424C22×C71semidirect
1029. #424C22×C71semidirect
1030. 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×#35652
C71×#35142
C71×#33862
C71×#33842
C71×#33712
C71×#33702
C71×#33502
C71×#33492
C71×#33482
C71×#33472
C71×#33412
C71×#33402
C71×#33192
C71×#33182
C71×#33112
C71×#33102
C71×#32972
C71×#32962
C71×#32632
C71×#32622
C71×#32472
C71×#32442
C71×#32432
C71×#32352
C71×#31182
C71×#31112
C71×#30812
C71×#30762
C71×#29922
#6215971