Finite Group Databasebeta

← C71×#62024 #31882896

Subgroups — C71×#62024 #31882896

Order 18176.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C71×#3546C211yesmaximal, characteristic, complemented
2C71×#3521C211yesmaximal, characteristic, complemented
3C71×#3402C211yesmaximal, characteristic, complemented
4C71×#3397C211yesmaximal, characteristic, complemented
5C71×#3376C211yesmaximal, characteristic, complemented
6C71×#3366C211yesmaximal, characteristic, complemented
7C71×#3315C211yesmaximal, characteristic, complemented
8C71×#3311C211yesmaximal, characteristic, complemented
9C71×#3310C211yesmaximal, characteristic, complemented
10C71×#3309C211yesmaximal, characteristic, complemented
11C71×#3304C211yesmaximal, characteristic, complemented
12C71×#3297C211yesmaximal, characteristic, complemented
13C71×#3284C211yesmaximal, characteristic, complemented
14C71×#3280C211yesmaximal, characteristic, complemented
15C71×#3268C211yesmaximal, characteristic, complemented
16C71×#3267C211yesmaximal, characteristic, complemented
17C71×#3267C211yesmaximal, characteristic, complemented
18C71×#3264C211yesmaximal, characteristic, complemented
19C71×#3263C211yesmaximal, characteristic, complemented
20C71×#3258C211yesmaximal, characteristic, complemented
21C71×#3247C211yesmaximal, characteristic, complemented
22C71×#3224C211yesmaximal, characteristic, complemented
23C71×#3222C211yesmaximal, characteristic, complemented
24C71×#3219C211yesmaximal, characteristic, complemented
25C71×#3124C211yesmaximal, characteristic, complemented
26C71×#3118C211yesmaximal, characteristic, complemented
27C71×#3115C211yesmaximal, characteristic, complemented
28C71×#3045C211yesmaximal, characteristic, complemented
29C71×#3041C211yesmaximal, characteristic, complemented
30C71×#3035C211yesmaximal, characteristic, complemented
31C71×#2992C211yesmaximal, characteristic, complemented
32C2×AGL(1,ℤ/8)×C71C2211yescharacteristic
33C2×AGL(1,ℤ/8)×C71C2211yescharacteristic, complemented
34C2×#135×C71C2211yescharacteristic, complemented
35C2×#135×C71C2211yescharacteristic, complemented
36C2×#135×C71C2211yescharacteristic, complemented
37C22×D8×C71C2211yescharacteristic
38#560×C71—21no—
39#560×C71—21no—
40#556×C71C2211yescharacteristic, complemented
41#556×C71C2211yescharacteristic, complemented
42#556×C71C2211yescharacteristic, complemented
43#554×C71C2211yescharacteristic, complemented
44#553×C71—21no—
45#553×C71—21no—
46#553×C71C2211yescharacteristic, complemented
47#552×C71—21no—
48#552×C71C2211yescharacteristic
49#551×C71—21no—
50#551×C71—21no—
51#550×C71C2211yescharacteristic
52#550×C71C2211yescharacteristic, complemented
53#550×C71C2211yescharacteristic, complemented
54#547×C71C2211yescharacteristic
55#547×C71C2211yescharacteristic, complemented
56#546×C71—21no—
57#546×C71C2211yescharacteristic
58#546×C71C2211yescharacteristic
59#546×C71C2211yescharacteristic, complemented
60#546×C71C2211yescharacteristic, complemented
61D42×C71C2211yescharacteristic
62#542×C71C2211yescharacteristic
63#542×C71C2211yescharacteristic, complemented
64#542×C71C2211yescharacteristic, complemented
65#541×C71C2211yescharacteristic, complemented
66#539×C71—21no—
67#538×C71—21no—
68#538×C71—21no—
69#538×C71—21no—
70#537×C71—21no—
71#535×C71—21no—
72#535×C71C2211yescharacteristic
73#535×C71C2211yescharacteristic, complemented
74#532×C71C2211yescharacteristic, complemented
75#532×C71C2211yescharacteristic, complemented
76#529×C71—21no—
77#529×C71C2211yescharacteristic
78#529×C71C2211yescharacteristic, complemented
79C2×#126×C71—21no—
80#520×C71C2211yescharacteristic, complemented
81#518×C71C2211yescharacteristic, complemented
82C4×#41×C71C2211yescharacteristic, complemented
83#497×C71C2211yescharacteristic, complemented
84#497×C71C2211yescharacteristic, complemented
85#496×C71C2211yescharacteristic
86#496×C71C2211yescharacteristic, complemented
87#495×C71C2211yescharacteristic
88#492×C71C2211yescharacteristic, complemented
89#491×C71C2211yescharacteristic, complemented
90#490×C71C2211yescharacteristic, complemented
91#490×C71C2211yescharacteristic, complemented
92#489×C71C2211yescharacteristic, complemented
93#488×C71C2211yescharacteristic, complemented
94#486×C71C2211yescharacteristic, complemented
95#485×C71C2211yescharacteristic, complemented
96#484×C71C2211yescharacteristic, complemented
97#482×C71C2211yescharacteristic
98#482×C71C2211yescharacteristic, complemented
99#482×C71C2211yescharacteristic, complemented
100#480×C71C2211yescharacteristic, complemented
101#479×C71C2211yescharacteristic, complemented
102#478×C71C2211yescharacteristic, complemented
103#478×C71C2211yescharacteristic, complemented
104#478×C71C2211yescharacteristic, complemented
105#477×C71C2211yescharacteristic, complemented
106#476×C71C2211yescharacteristic, complemented
107#476×C71C2211yescharacteristic, complemented
108#475×C71C2211yescharacteristic, complemented
109#475×C71C2211yescharacteristic, complemented
110#474×C71C2211yescharacteristic, complemented
111#470×C71C2211yescharacteristic, complemented
112#470×C71C2211yescharacteristic, complemented
113#469×C71C2211yescharacteristic
114#468×C71C2211yescharacteristic
115#467×C71C2211yescharacteristic, complemented
116#466×C71C2211yescharacteristic
117#466×C71C2211yescharacteristic, complemented
118#465×C71C2211yescharacteristic
119#465×C71C2211yescharacteristic, complemented
120#465×C71C2211yescharacteristic, complemented
121#465×C71C2211yescharacteristic, complemented
122#465×C71C2211yescharacteristic, complemented
123#464×C71C2211yescharacteristic, complemented
124#464×C71C2211yescharacteristic, complemented
125#464×C71C2211yescharacteristic, complemented
126#464×C71C2211yescharacteristic, complemented
127#464×C71C2211yescharacteristic, complemented
128#464×C71C2211yescharacteristic, complemented
129#463×C71C2211yescharacteristic
130#463×C71C2211yescharacteristic
131#463×C71C2211yescharacteristic
132#463×C71C2211yescharacteristic
133#463×C71C2211yescharacteristic, complemented
134#463×C71C2211yescharacteristic, complemented
135#463×C71C2211yescharacteristic, complemented
136#463×C71C2211yescharacteristic, complemented
137#463×C71C2211yescharacteristic, complemented
138#463×C71C2211yescharacteristic, complemented
139#462×C71C2211yescharacteristic, complemented
140#462×C71C2211yescharacteristic, complemented
141#461×C71C2211yescharacteristic, complemented
142#461×C71C2211yescharacteristic, complemented
143#460×C71C2211yescharacteristic, complemented
144#460×C71C2211yescharacteristic, complemented
145#460×C71C2211yescharacteristic, complemented
146#460×C71C2211yescharacteristic, complemented
147#459×C71C2211yescharacteristic
148#459×C71C2211yescharacteristic
149#459×C71C2211yescharacteristic
150#459×C71C2211yescharacteristic, complemented
151#459×C71C2211yescharacteristic, complemented
152#459×C71C2211yescharacteristic, complemented
153#452×C71C2211yescharacteristic, complemented
154#452×C71C2211yescharacteristic, complemented
155#452×C71C2211yescharacteristic, complemented
156#452×C71C2211yescharacteristic, complemented
157#452×C71C2211yescharacteristic, complemented
158#452×C71C2211yescharacteristic, complemented
159#450×C71C2211yescharacteristic
160#450×C71C2211yescharacteristic
161#450×C71C2211yescharacteristic, complemented
162#450×C71C2211yescharacteristic, complemented
163#449×C71C2211yescharacteristic
164#449×C71C2211yescharacteristic
165#449×C71C2211yescharacteristic, complemented
166#449×C71C2211yescharacteristic, complemented
167#449×C71C2211yescharacteristic, complemented
168#449×C71C2211yescharacteristic, complemented
169#447×C71C2211yescharacteristic
170#447×C71C2211yescharacteristic
171#446×C71C2211yescharacteristic, complemented
172#446×C71C2211yescharacteristic, complemented
173#442×C71C2211yescharacteristic
174#442×C71C2211yescharacteristic, complemented
175#442×C71C2211yescharacteristic, complemented
176#440×C71C2211yescharacteristic, complemented
177#440×C71C2211yescharacteristic, complemented
178#440×C71C2211yescharacteristic, complemented
179#440×C71C2211yescharacteristic, complemented
180#440×C71C2211yescharacteristic, complemented
181C4×Q16×C71C2211yescharacteristic, complemented
182C4×SD16×C71C2211yescharacteristic, complemented
183C4×D8×C71C2211yescharacteristic, complemented
184C4×D8×C71C2211yescharacteristic, complemented
185#435×C71C2211yescharacteristic
186#435×C71C2211yescharacteristic
187#435×C71C2211yescharacteristic, complemented
188#435×C71C2211yescharacteristic, complemented
189C8×D4×C71C2211yescharacteristic, complemented
190C8×D4×C71C2211yescharacteristic, complemented
191#433×C71C2211yescharacteristic, complemented
192#433×C71C2211yescharacteristic, complemented
193#432×C71C2211yescharacteristic, complemented
194#424×C71C2211yescharacteristic, complemented
195#424×C71C2211yescharacteristic, complemented
196C2×C4⋊C8×C71C2211yescharacteristic, complemented
197#418×C71C2211yescharacteristic
198#417×C71C2211yescharacteristic, complemented
199#416×C71C2211yescharacteristic, complemented
200#416×C71C2211yescharacteristic, complemented
201#416×C71C2211yescharacteristic, complemented
202C2×#102×C71C2211yescharacteristic, complemented
203C2×#41×C71—21no—
204C2×#41×C71—21no—
205C2×#41×C71C2311yescharacteristic
206C2×#41×C71C2311yescharacteristic
207C2×#41×C71C2311yescharacteristic
208C2×#41×C71C2311yescharacteristic
209C2×#41×C71C2311yescharacteristic
210C2×#41×C71C2311yescharacteristic
211C22×D4×C71—21no—
212C22×D4×C71C2311yescharacteristic
213C22×D4×C71C2311yescharacteristic
214C22×D4×C71C2311yescharacteristic
215AGL(1,ℤ/8)×C71—42no—
216AGL(1,ℤ/8)×C71—42no—
217#135×C71—42no—
218#135×C71—42no—
219#135×C71—42no—
220C2×Q16×C71C2311yescharacteristic
221C2×Q16×C71C2311yescharacteristic
222C2×Q16×C71C2311yescharacteristic
223C2×Q16×C71C2311yescharacteristic
224C2×SD16×C71C2311yescharacteristic
225C2×SD16×C71C2311yescharacteristic
226C2×SD16×C71C2311yescharacteristic
227C2×SD16×C71C2311yescharacteristic
228C2×SD16×C71C2311yescharacteristic
229C2×SD16×C71C2311yescharacteristic
230C2×SD16×C71C2311yescharacteristic
231C2×SD16×C71C2311yescharacteristic
232C2×SD16×C71C2311yescharacteristic
233C2×SD16×C71C2311yescharacteristic
234C2×SD16×C71C2311yescharacteristic
235C2×SD16×C71C2311yescharacteristic
236C2×D8×C71—42no—
237C2×D8×C71C2311yescharacteristic
238C2×D8×C71C2311yescharacteristic
239C2×D8×C71C2311yescharacteristic
240C2×D8×C71C2311yescharacteristic
241C2×D8×C71C2311yescharacteristic
242C2×D8×C71C2311yescharacteristic
243C2×D8×C71C2311yescharacteristic
244C2×D8×C71C2311yescharacteristic
245C2×M16×C71C2311yescharacteristic
246C2×M16×C71C2311yescharacteristic
247C22×C8×C71C2311yescharacteristic
248C22×C8×C71C2311yescharacteristic
249C22×C8×C71C2311yescharacteristic
250C22×C8×C71C2311yescharacteristic
251C4⋊Q8×C71C2311yescharacteristic
252C4⋊Q8×C71C2311yescharacteristic
253C4⋊Q8×C71C2311yescharacteristic
254C4⋊Q8×C71C2311yescharacteristic
255#127×C71—21no—
256#127×C71—21no—
257#127×C71C2311yescharacteristic
258#127×C71C2311yescharacteristic
259#127×C71C2311yescharacteristic
260#127×C71C2311yescharacteristic
261#126×C71—21no—
262#126×C71—21no—
263#126×C71—21no—
264#126×C71—21no—
265#126×C71—21no—
266#126×C71—21no—
267#126×C71—21no—
268#126×C71—21no—
269#126×C71—21no—
270#126×C71—21no—
271#126×C71—21no—
272#126×C71—21no—
273#126×C71—21no—
274#126×C71—21no—
275#126×C71D411yescharacteristic
276#126×C71D411yescharacteristic
277#125×C71—21no—
278#125×C71—21no—
279#125×C71—21no—
280#125×C71D411yescharacteristic
281#125×C71C2311yescharacteristic
282#125×C71C2311yescharacteristic
283#124×C71—21no—
284#124×C71—21no—
285#124×C71—21no—
286#124×C71—21no—
287#124×C71—21no—
288#124×C71D411yescharacteristic
289#124×C71C2311yescharacteristic
290#124×C71C2311yescharacteristic
291#124×C71C2311yescharacteristic
292#124×C71C2311yescharacteristic
293#124×C71C2311yescharacteristic
294#124×C71C2311yescharacteristic
295#123×C71—21no—
296#123×C71—21no—
297#123×C71—21no—
298#123×C71—21no—
299#123×C71—21no—
300#123×C71—21no—
301#123×C71—21no—
302#123×C71—21no—
303#123×C71—21no—
304#123×C71—21no—
305#123×C71—21no—
306#123×C71—21no—
307#123×C71—21no—
308#123×C71—21no—
309#123×C71D411yescharacteristic
310#123×C71D411yescharacteristic
311C22⋊Q8×C71—21no—
312C22⋊Q8×C71—21no—
313C22⋊Q8×C71—21no—
314C22⋊Q8×C71—21no—
315C22⋊Q8×C71—21no—
316C22⋊Q8×C71—21no—
317C22⋊Q8×C71—21no—
318C22⋊Q8×C71—21no—
319C22⋊Q8×C71D411yescharacteristic
320C22⋊Q8×C71C2311yescharacteristic
321C22⋊Q8×C71C2311yescharacteristic
322C22⋊Q8×C71C2311yescharacteristic
323C22⋊Q8×C71C2311yescharacteristic
324C22⋊Q8×C71C2311yescharacteristic
325C22⋊Q8×C71C2311yescharacteristic
326#121×C71—21no—
327#121×C71—21no—
328#121×C71—21no—
329#121×C71—21no—
330#121×C71—21no—
331#121×C71—21no—
332#121×C71—21no—
333#121×C71—21no—
334#121×C71—21no—
335#121×C71—21no—
336#121×C71—21no—
337#121×C71—21no—
338#121×C71—21no—
339#121×C71—21no—
340#121×C71—21no—
341#121×C71—21no—
342#121×C71—21no—
343#121×C71—21no—
344#121×C71—21no—
345#121×C71—21no—
346#121×C71—21no—
347#121×C71—21no—
348#121×C71D411yescharacteristic
349#121×C71C2311yescharacteristic
350#121×C71C2311yescharacteristic
351#121×C71C2311yescharacteristic
352#121×C71C2311yescharacteristic
353#121×C71C2311yescharacteristic
354#121×C71C2311yescharacteristic
355#120×C71—21no—
356#120×C71—21no—
357#120×C71—21no—
358#120×C71—21no—
359#120×C71—21no—
360#120×C71—21no—
361#120×C71—21no—
362#120×C71—21no—
363#120×C71—21no—
364#120×C71—21no—
365C4×Q8×C71—21no—
366C4×Q8×C71C2311yescharacteristic
367C4×Q8×C71C2311yescharacteristic
368C4×Q8×C71C2311yescharacteristic
369C4×Q8×C71C2311yescharacteristic
370C4×Q8×C71C2311yescharacteristic
371C4×Q8×C71C2311yescharacteristic
372C4×Q8×C71C2311yescharacteristic
373C4×D4×C71—21no—
374C4×D4×C71—21no—
375C4×D4×C71—21no—
376C4×D4×C71—21no—
377C4×D4×C71—21no—
378C4×D4×C71—21no—
379C4×D4×C71—21no—
380C4×D4×C71—21no—
381C4×D4×C71—21no—
382C4×D4×C71—21no—
383C4×D4×C71—21no—
384C4×D4×C71—21no—
385C4×D4×C71—21no—
386C4×D4×C71C2311yescharacteristic
387C4×D4×C71C2311yescharacteristic
388C4×D4×C71C2311yescharacteristic
389C4×D4×C71C2311yescharacteristic
390C4×D4×C71C2311yescharacteristic
391C4×D4×C71C2311yescharacteristic
392C4×D4×C71C2311yescharacteristic
393C4×D4×C71C2311yescharacteristic
394C4×D4×C71C2311yescharacteristic
395C4×D4×C71C2311yescharacteristic
396C4×D4×C71C2311yescharacteristic
397C4×D4×C71C2311yescharacteristic
398C4×D4×C71C2311yescharacteristic
399#117×C71—21no—
400#117×C71—21no—
401#117×C71—21no—
402#117×C71—21no—
403#117×C71—21no—
404#117×C71—21no—
405#117×C71C2311yescharacteristic
406#117×C71C2311yescharacteristic
407#117×C71C2311yescharacteristic
408#117×C71C2311yescharacteristic
409C2×C4⋊C4×C71—21no—
410C2×C4⋊C4×C71—21no—
411C2×C4⋊C4×C71—21no—
412C2×C4⋊C4×C71—21no—
413C2×C4⋊C4×C71C2311yescharacteristic
414C2×C22⋊C4×C71—21no—
415C2×C22⋊C4×C71—21no—
416C2×C22⋊C4×C71—21no—
417C2×C22⋊C4×C71—21no—
418C2×C22⋊C4×C71—21no—
419C2×C22⋊C4×C71—21no—
420C2×C42×C71—21no—
421C2×C42×C71C2311yescharacteristic
422#107×C71C2311yescharacteristic
423#107×C71C2311yescharacteristic
424#107×C71C2311yescharacteristic
425#107×C71C2311yescharacteristic
426#106×C71C2311yescharacteristic
427#106×C71C2311yescharacteristic
428#106×C71C2311yescharacteristic
429#106×C71C2311yescharacteristic
430C4⋊C8×C71C2311yescharacteristic
431C4⋊C8×C71C2311yescharacteristic
432C4⋊C8×C71C2311yescharacteristic
433C4⋊C8×C71C2311yescharacteristic
434C4⋊C8×C71C2311yescharacteristic
435C4⋊C8×C71C2311yescharacteristic
436C4⋊C8×C71C2311yescharacteristic
437C4⋊C8×C71C2311yescharacteristic
438C4⋊C8×C71C2311yescharacteristic
439C4⋊C8×C71C2311yescharacteristic
440#103×C71C2311yescharacteristic
441#103×C71C2311yescharacteristic
442#103×C71C2311yescharacteristic
443#103×C71C2311yescharacteristic
444#103×C71C2311yescharacteristic
445#103×C71C2311yescharacteristic
446#103×C71C2311yescharacteristic
447#103×C71C2311yescharacteristic
448#103×C71C2311yescharacteristic
449#103×C71C2311yescharacteristic
450#103×C71C2311yescharacteristic
451#103×C71C2311yescharacteristic
452#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
466#102×C71C2311yescharacteristic
467#102×C71C2311yescharacteristic
468#102×C71C2311yescharacteristic
469#102×C71C2311yescharacteristic
470#102×C71C2311yescharacteristic
471#102×C71C2311yescharacteristic
472C22⋊C8×C71C2311yescharacteristic
473C22⋊C8×C71C2311yescharacteristic
474C22⋊C8×C71C2311yescharacteristic
475C22⋊C8×C71C2311yescharacteristic
476C22⋊C8×C71C2311yescharacteristic
477C22⋊C8×C71C2311yescharacteristic
478#97×C71C2311yescharacteristic
479#97×C71C2311yescharacteristic
480#97×C71C2311yescharacteristic
481#97×C71C2311yescharacteristic
482C4×C8×C71C2311yescharacteristic
483C4×C8×C71C2311yescharacteristic
484C24×C71—21no—
485C24×C71—21no—
486C24×C71—21no—
487#41×C71—22no—
488#41×C71—22no—
489#41×C71—41no—
490#41×C71—41no—
491#41×C71—41no—
492#41×C71—41no—
493#41×C71—41no—
494#41×C71—41no—
495#41×C71—41no—
496#41×C71—41no—
497#41×C71—41no—
498#41×C71—41no—
499#41×C71—82no—
500#41×C71—82no—
501C2×Q8×C71—21no—
502C2×Q8×C71—21no—
503C2×Q8×C71C2×D411yescharacteristic
504C2×Q8×C71C2411yescharacteristic
505C2×Q8×C71C2411yescharacteristic
506C2×Q8×C71C2411yescharacteristic
507C2×Q8×C71C2411yescharacteristic
508C2×D4×C71—22no—
509C2×D4×C71—21no—
510C2×D4×C71—21no—
511C2×D4×C71—21no—
512C2×D4×C71—21no—
513C2×D4×C71—21no—
514C2×D4×C71—21no—
515C2×D4×C71—21no—
516C2×D4×C71—21no—
517C2×D4×C71—21no—
518C2×D4×C71—21no—
519C2×D4×C71—21no—
520C2×D4×C71—21no—
521C2×D4×C71—21no—
522C2×D4×C71—21no—
523C2×D4×C71—21no—
524C2×D4×C71—21no—
525C2×D4×C71—21no—
526C2×D4×C71—21no—
527C2×D4×C71—21no—
528C2×D4×C71—21no—
529C2×D4×C71—21no—
530C2×D4×C71—21no—
531C2×D4×C71—21no—
532C2×D4×C71—41no—
533C2×D4×C71—41no—
534C2×D4×C71—41no—
535C2×D4×C71—41no—
536C2×D4×C71—41no—
537C2×D4×C71—82no—
538C2×D4×C71C2×D411yescharacteristic
539C2×D4×C71C2×D411yescharacteristic
540C2×D4×C71C2×D411yescharacteristic
541C2×D4×C71C2411yescharacteristic
542C2×D4×C71C2411yescharacteristic
543C2×D4×C71C2411yescharacteristic
544C2×D4×C71C2411yescharacteristic
545C2×D4×C71C2411yescharacteristic
546C2×D4×C71C2411yescharacteristic
547C22×C4×C71—21no—
548C22×C4×C71—21no—
549C22×C4×C71—21no—
550C22×C4×C71—21no—
551C22×C4×C71—21no—
552C22×C4×C71—21no—
553C22×C4×C71—21no—
554C22×C4×C71—21no—
555C22×C4×C71—21no—
556C22×C4×C71—21no—
557C22×C4×C71—21no—
558C22×C4×C71—21no—
559C22×C4×C71—21no—
560C22×C4×C71—21no—
561C22×C4×C71—21no—
562C22×C4×C71—21no—
563C22×C4×C71—21no—
564C22×C4×C71C2×D411yescharacteristic
565C22×C4×C71C2×D411yescharacteristic
566C22×C4×C71C2411yescharacteristic
567C22×C4×C71C2411yescharacteristic
568C22×C4×C71C2411yescharacteristic
569Q16×C71—41no—
570Q16×C71—41no—
571Q16×C71—41no—
572Q16×C71—41no—
573SD16×C71—22no—
574SD16×C71—22no—
575SD16×C71—41no—
576SD16×C71—41no—
577SD16×C71—41no—
578SD16×C71—41no—
579SD16×C71—41no—
580SD16×C71—41no—
581SD16×C71—41no—
582SD16×C71—41no—
583SD16×C71—41no—
584SD16×C71—41no—
585D8×C71—22no—
586D8×C71—22no—
587D8×C71—22no—
588D8×C71—22no—
589D8×C71—41no—
590D8×C71—41no—
591D8×C71—41no—
592D8×C71—41no—
593M16×C71—41no—
594M16×C71—41no—
595C2×C8×C71—41no—
596C2×C8×C71—41no—
597C2×C8×C71—41no—
598C2×C8×C71—41no—
599C2×C8×C71C2411yescharacteristic
600C2×C8×C71C2411yescharacteristic
601C2×C8×C71C2411yescharacteristic
602C2×C8×C71C2411yescharacteristic
603C2×C8×C71C2411yescharacteristic
604C2×C8×C71C2411yescharacteristic
605C2×C8×C71C2411yescharacteristic
606C2×C8×C71C2411yescharacteristic
607C4⋊C4×C71—21no—
608C4⋊C4×C71—21no—
609C4⋊C4×C71—21no—
610C4⋊C4×C71—21no—
611C4⋊C4×C71—21no—
612C4⋊C4×C71—21no—
613C4⋊C4×C71—21no—
614C4⋊C4×C71—21no—
615C4⋊C4×C71—21no—
616C4⋊C4×C71—21no—
617C4⋊C4×C71—21no—
618C4⋊C4×C71—21no—
619C4⋊C4×C71—21no—
620C4⋊C4×C71—21no—
621C4⋊C4×C71—21no—
622C4⋊C4×C71—21no—
623C4⋊C4×C71—21no—
624C4⋊C4×C71—21no—
625C4⋊C4×C71—21no—
626C4⋊C4×C71—21no—
627C4⋊C4×C71—21no—
628C4⋊C4×C71—21no—
629C4⋊C4×C71—21no—
630C4⋊C4×C71C2×D411yescharacteristic
631C4⋊C4×C71C2×D411yescharacteristic
632C4⋊C4×C71C2×D411yescharacteristic
633C4⋊C4×C71C2×D411yescharacteristic
634C4⋊C4×C71C2×D411yescharacteristic
635C4⋊C4×C71C2×D411yescharacteristic
636C4⋊C4×C71C2×D411yescharacteristic
637C4⋊C4×C71C2×D411yescharacteristic
638C4⋊C4×C71C2×D411yescharacteristic
639C4⋊C4×C71C2×D411yescharacteristic
640C4⋊C4×C71C2411yescharacteristic
641C4⋊C4×C71C2411yescharacteristic
642C4⋊C4×C71C2411yescharacteristic
643C4⋊C4×C71C2411yescharacteristic
644C4⋊C4×C71C2411yescharacteristic
645C4⋊C4×C71C2411yescharacteristic
646C22⋊C4×C71—21no—
647C22⋊C4×C71—21no—
648C22⋊C4×C71—21no—
649C22⋊C4×C71—21no—
650C22⋊C4×C71—21no—
651C22⋊C4×C71—21no—
652C22⋊C4×C71—21no—
653C22⋊C4×C71—21no—
654C22⋊C4×C71—21no—
655C22⋊C4×C71—21no—
656C22⋊C4×C71—21no—
657C22⋊C4×C71—21no—
658C22⋊C4×C71—21no—
659C22⋊C4×C71—21no—
660C22⋊C4×C71—21no—
661C22⋊C4×C71—21no—
662C22⋊C4×C71—21no—
663C22⋊C4×C71—21no—
664C22⋊C4×C71—21no—
665C22⋊C4×C71—21no—
666C22⋊C4×C71—21no—
667C22⋊C4×C71—21no—
668C22⋊C4×C71—21no—
669C22⋊C4×C71—21no—
670C22⋊C4×C71—21no—
671C22⋊C4×C71—21no—
672C22⋊C4×C71—21no—
673C22⋊C4×C71—21no—
674C22⋊C4×C71—21no—
675C22⋊C4×C71—21no—
676C22⋊C4×C71—21no—
677C22⋊C4×C71—21no—
678C22⋊C4×C71—21no—
679C22⋊C4×C71—21no—
680C22⋊C4×C71—21no—
681C22⋊C4×C71—21no—
682C22⋊C4×C71C2×D411yescharacteristic
683C22⋊C4×C71C2×D411yescharacteristic
684C22⋊C4×C71C2×D411yescharacteristic
685C22⋊C4×C71C2×D411yescharacteristic
686C22⋊C4×C71C2×D411yescharacteristic
687C22⋊C4×C71C2×D411yescharacteristic
688C22⋊C4×C71C2×D411yescharacteristic
689C22⋊C4×C71C2×D411yescharacteristic
690C22⋊C4×C71C2×D411yescharacteristic
691C22⋊C4×C71C2×D411yescharacteristic
692C42×C71—21no—
693C42×C71—21no—
694C42×C71—21no—
695C42×C71—21no—
696C42×C71—21no—
697C42×C71—21no—
698C42×C71—21no—
699C42×C71—21no—
700C42×C71C2×D411yescharacteristic
701C42×C71C2×D411yescharacteristic
702C42×C71C2411yescharacteristic
703C42×C71C2411yescharacteristic
704C42×C71C2411yescharacteristic
705C42×C71C2411yescharacteristic
706C23×C71—21no—
707C23×C71—21no—
708C23×C71—21no—
709C23×C71—21no—
710C23×C71—21no—
711C23×C71—21no—
712C23×C71—42no—
713C23×C71—81no—
714C23×C71—81no—
715C23×C71—81no—
716C23×C71—81no—
717C23×C71—81no—
718C23×C71—81no—
719C23×C71—81no—
720C23×C71—81no—
721C23×C71C22×D411yescharacteristic
722C23×C71C22×D411yescharacteristic
723C23×C71C22×D411yescharacteristic
724Q8×C71—21no—
725Q8×C71—21no—
726Q8×C71—21no—
727Q8×C71—21no—
728Q8×C71—21no—
729Q8×C71—21no—
730Q8×C71—21no—
731Q8×C71—21no—
732Q8×C71—41no—
733Q8×C71—81no—
734Q8×C71—81no—
735D4×C71—21no—
736D4×C71—21no—
737D4×C71—21no—
738D4×C71—21no—
739D4×C71—21no—
740D4×C71—21no—
741D4×C71—21no—
742D4×C71—21no—
743D4×C71—21no—
744D4×C71—21no—
745D4×C71—21no—
746D4×C71—41no—
747D4×C71—41no—
748D4×C71—41no—
749D4×C71—42no—
750D4×C71—42no—
751D4×C71—42no—
752D4×C71—42no—
753D4×C71—81no—
754D4×C71—81no—
755D4×C71—81no—
756D4×C71—81no—
757D4×C71—81no—
758D4×C71—81no—
759D4×C71—81no—
760D4×C71—81no—
761D4×C71—81no—
762D4×C71—81no—
763D4×C71—81no—
764D4×C71—81no—
765D4×C71—81no—
766D4×C71—81no—
767D4×C71—81no—
768D4×C71—81no—
769D4×C71—81no—
770D4×C71—81no—
771D4×C71—81no—
772D4×C71H(5,𝔽2)12yes—
773C2×C4×C71—21no—
774C2×C4×C71—21no—
775C2×C4×C71—21no—
776C2×C4×C71—21no—
777C2×C4×C71—21no—
778C2×C4×C71—21no—
779C2×C4×C71—21no—
780C2×C4×C71—21no—
781C2×C4×C71—21no—
782C2×C4×C71—21no—
783C2×C4×C71—21no—
784C2×C4×C71—21no—
785C2×C4×C71—21no—
786C2×C4×C71—21no—
787C2×C4×C71—21no—
788C2×C4×C71—21no—
789C2×C4×C71—41no—
790C2×C4×C71—41no—
791C2×C4×C71—42no—
792C2×C4×C71—42no—
793C2×C4×C71—42no—
794C2×C4×C71—42no—
795C2×C4×C71—81no—
796C2×C4×C71—81no—
797C2×C4×C71—81no—
798C2×C4×C71—81no—
799C2×C4×C71—81no—
800C2×C4×C71—81no—
801C2×C4×C71—81no—
802C2×C4×C71—81no—
803C2×C4×C71—81no—
804C2×C4×C71—81no—
805C2×C4×C71—81no—
806C2×C4×C71—81no—
807C2×C4×C71—81no—
808C2×C4×C71C22×D411yescharacteristic
809C2×C4×C71C22×D411yescharacteristic
810C2×C4×C71C22×D411yescharacteristic
811C2×C4×C71C22×D411yescharacteristic
812C2×C4×C71C22×D411yescharacteristic
813C2×C4×C71C22×D411yescharacteristic
814C2×C4×C71C22×D411yescharacteristic
815C2×C4×C71C22×D411yescharacteristic
816C2×C4×C71C22×D411yescharacteristic
817C2×C4×C71C22×D411yescharacteristic
818C2×C4×C71C22×D411yescharacteristic
819C2×C4×C71C2511yescharacteristic
820C8×C71—21no—
821C8×C71—21no—
822C8×C71—21no—
823C8×C71—21no—
824C8×C71—21no—
825C8×C71—21no—
826C8×C71—21no—
827C8×C71—21no—
828C22×C71—21no—
829C22×C71—21no—
830C22×C71—21no—
831C22×C71—21no—
832C22×C71—21no—
833C22×C71—21no—
834C22×C71—21no—
835C22×C71—21no—
836C22×C71—21no—
837C22×C71—22no—
838C22×C71—41no—
839C22×C71—41no—
840C22×C71—41no—
841C22×C71—41no—
842C22×C71—41no—
843C22×C71—41no—
844C22×C71—41no—
845C22×C71—41no—
846C22×C71—41no—
847C22×C71—41no—
848C22×C71—41no—
849C22×C71—41no—
850C22×C71—41no—
851C22×C71—41no—
852C22×C71—41no—
853C22×C71—41no—
854C22×C71—41no—
855C22×C71—162no—
856C22×C71—162no—
857C22×C71—162no—
858C22×C71C23×D411yescharacteristic
859C4×C71—21no—
860C4×C71—21no—
861C4×C71—21no—
862C4×C71—21no—
863C4×C71—21no—
864C4×C71—21no—
865C4×C71—21no—
866C4×C71—21no—
867C4×C71—21no—
868C4×C71—21no—
869C4×C71—21no—
870C4×C71—41no—
871C4×C71—41no—
872C4×C71—41no—
873C4×C71—41no—
874C4×C71—41no—
875C4×C71—41no—
876C4×C71—41no—
877C4×C71—41no—
878C4×C71—41no—
879C4×C71—41no—
880C4×C71C2×H(5,𝔽2)11yescharacteristic
881C4×C71#58511yescharacteristic
882#62024C7111yesmaximal, characteristic, direct product factor, Sylow
883C2×C71—41no—
884C2×C71—41no—
885C2×C71—41no—
886C2×C71—42no—
887C2×C71—81no—
888C2×C71—81no—
889C2×C71—81no—
890C2×C71—81no—
891C2×C71—81no—
892C2×C71#348811yescharacteristic
893C2×C71#358411yescharacteristic
894C2×C71#358511yescharacteristic
895#3546C2×C7111yescharacteristic, complemented
896#3521C2×C7111yescharacteristic, complemented
897#3402C2×C7111yescharacteristic, complemented
898#3397C2×C7111yescharacteristic, complemented
899#3376C2×C7111yescharacteristic, complemented
900#3366C2×C7111yescharacteristic, complemented
901#3315C2×C7111yescharacteristic, complemented
902#3311C2×C7111yescharacteristic, complemented
903#3310C2×C7111yescharacteristic, complemented
904#3309C2×C7111yescharacteristic, complemented
905#3304C2×C7111yescharacteristic, complemented
906#3297C2×C7111yescharacteristic, complemented
907#3284C2×C7111yescharacteristic, complemented
908#3280C2×C7111yescharacteristic, complemented
909#3268C2×C7111yescharacteristic, complemented
910#3267C2×C7111yescharacteristic, complemented
911#3267C2×C7111yescharacteristic, complemented
912#3264C2×C7111yescharacteristic, complemented
913#3263C2×C7111yescharacteristic, complemented
914#3258C2×C7111yescharacteristic, complemented
915#3247C2×C7111yescharacteristic, complemented
916#3224C2×C7111yescharacteristic, complemented
917#3222C2×C7111yescharacteristic, complemented
918#3219C2×C7111yescharacteristic, complemented
919#3124C2×C7111yescharacteristic, complemented
920#3118C2×C7111yescharacteristic, complemented
921#3115C2×C7111yescharacteristic, complemented
922#3045C2×C7111yescharacteristic, complemented
923#3041C2×C7111yescharacteristic, complemented
924#3035C2×C7111yescharacteristic, complemented
925#2992C2×C7111yescharacteristic, complemented
926C71#6202411yescharacteristic, direct product factor, Sylow
927C2×AGL(1,ℤ/8)C22×C7111yescharacteristic
928C2×AGL(1,ℤ/8)C22×C7111yescharacteristic, complemented
929C2×#135C22×C7111yescharacteristic, complemented
930C2×#135C22×C7111yescharacteristic, complemented
931C2×#135C22×C7111yescharacteristic, complemented
932C22×D8C22×C7111yescharacteristic
933#560—21no—
934#560—21no—
935#556C22×C7111yescharacteristic, complemented
936#556C22×C7111yescharacteristic, complemented
937#556C22×C7111yescharacteristic, complemented
938#554C22×C7111yescharacteristic, complemented
939#553—21no—
940#553—21no—
941#553C22×C7111yescharacteristic, complemented
942#552—21no—
943#552C22×C7111yescharacteristic
944#551—21no—
945#551—21no—
946#550C22×C7111yescharacteristic
947#550C22×C7111yescharacteristic, complemented
948#550C22×C7111yescharacteristic, complemented
949#547C22×C7111yescharacteristic
950#547C22×C7111yescharacteristic, complemented
951#546—21no—
952#546C22×C7111yescharacteristic
953#546C22×C7111yescharacteristic
954#546C22×C7111yescharacteristic, complemented
955#546C22×C7111yescharacteristic, complemented
956D42C22×C7111yescharacteristic
957#542C22×C7111yescharacteristic
958#542C22×C7111yescharacteristic, complemented
959#542C22×C7111yescharacteristic, complemented
960#541C22×C7111yescharacteristic, complemented
961#539—21no—
962#538—21no—
963#538—21no—
964#538—21no—
965#537—21no—
966#535—21no—
967#535C22×C7111yescharacteristic
968#535C22×C7111yescharacteristic, complemented
969#532C22×C7111yescharacteristic, complemented
970#532C22×C7111yescharacteristic, complemented
971#529—21no—
972#529C22×C7111yescharacteristic
973#529C22×C7111yescharacteristic, complemented
974C2×#126—21no—
975#520C22×C7111yescharacteristic, complemented
976#518C22×C7111yescharacteristic, complemented
977C4×#41C22×C7111yescharacteristic, complemented
978#497C22×C7111yescharacteristic, complemented
979#497C22×C7111yescharacteristic, complemented
980#496C22×C7111yescharacteristic
981#496C22×C7111yescharacteristic, complemented
982#495C22×C7111yescharacteristic
983#492C22×C7111yescharacteristic, complemented
984#491C22×C7111yescharacteristic, complemented
985#490C22×C7111yescharacteristic, complemented
986#490C22×C7111yescharacteristic, complemented
987#489C22×C7111yescharacteristic, complemented
988#488C22×C7111yescharacteristic, complemented
989#486C22×C7111yescharacteristic, complemented
990#485C22×C7111yescharacteristic, complemented
991#484C22×C7111yescharacteristic, complemented
992#482C22×C7111yescharacteristic
993#482C22×C7111yescharacteristic, complemented
994#482C22×C7111yescharacteristic, complemented
995#480C22×C7111yescharacteristic, complemented
996#479C22×C7111yescharacteristic, complemented
997#478C22×C7111yescharacteristic, complemented
998#478C22×C7111yescharacteristic, complemented
999#478C22×C7111yescharacteristic, complemented
1000#477C22×C7111yescharacteristic, complemented
1001#476C22×C7111yescharacteristic, complemented
1002#476C22×C7111yescharacteristic, complemented
1003#475C22×C7111yescharacteristic, complemented
1004#475C22×C7111yescharacteristic, complemented
1005#474C22×C7111yescharacteristic, complemented
1006#470C22×C7111yescharacteristic, complemented
1007#470C22×C7111yescharacteristic, complemented
1008#469C22×C7111yescharacteristic
1009#468C22×C7111yescharacteristic
1010#467C22×C7111yescharacteristic, complemented
1011#466C22×C7111yescharacteristic
1012#466C22×C7111yescharacteristic, complemented
1013#465C22×C7111yescharacteristic
1014#465C22×C7111yescharacteristic, complemented
1015#465C22×C7111yescharacteristic, complemented
1016#465C22×C7111yescharacteristic, complemented
1017#465C22×C7111yescharacteristic, complemented
1018#464C22×C7111yescharacteristic, complemented
1019#464C22×C7111yescharacteristic, complemented
1020#464C22×C7111yescharacteristic, complemented
1021#464C22×C7111yescharacteristic, complemented
1022#464C22×C7111yescharacteristic, complemented
1023#464C22×C7111yescharacteristic, complemented
1024#463C22×C7111yescharacteristic
1025#463C22×C7111yescharacteristic
1026#463C22×C7111yescharacteristic
1027#463C22×C7111yescharacteristic
1028#463C22×C7111yescharacteristic, complemented
1029#463C22×C7111yescharacteristic, complemented
1030#463C22×C7111yescharacteristic, complemented
1031#463C22×C7111yescharacteristic, complemented
1032#463C22×C7111yescharacteristic, complemented
1033#463C22×C7111yescharacteristic, complemented
1034#462C22×C7111yescharacteristic, complemented
1035#462C22×C7111yescharacteristic, complemented
1036#461C22×C7111yescharacteristic, complemented
1037#461C22×C7111yescharacteristic, complemented
1038#460C22×C7111yescharacteristic, complemented
1039#460C22×C7111yescharacteristic, complemented
1040#460C22×C7111yescharacteristic, complemented
1041#460C22×C7111yescharacteristic, complemented
1042#459C22×C7111yescharacteristic
1043#459C22×C7111yescharacteristic
1044#459C22×C7111yescharacteristic
1045#459C22×C7111yescharacteristic, complemented
1046#459C22×C7111yescharacteristic, complemented
1047#459C22×C7111yescharacteristic, complemented
1048#452C22×C7111yescharacteristic, complemented
1049#452C22×C7111yescharacteristic, complemented
1050#452C22×C7111yescharacteristic, complemented
1051#452C22×C7111yescharacteristic, complemented
1052#452C22×C7111yescharacteristic, complemented
1053#452C22×C7111yescharacteristic, complemented
1054#450C22×C7111yescharacteristic
1055#450C22×C7111yescharacteristic
1056#450C22×C7111yescharacteristic, complemented
1057#450C22×C7111yescharacteristic, complemented
1058#449C22×C7111yescharacteristic
1059#449C22×C7111yescharacteristic
1060#449C22×C7111yescharacteristic, complemented
1061#449C22×C7111yescharacteristic, complemented
1062#449C22×C7111yescharacteristic, complemented
1063#449C22×C7111yescharacteristic, complemented
1064#447C22×C7111yescharacteristic
1065#447C22×C7111yescharacteristic
1066#446C22×C7111yescharacteristic, complemented
1067#446C22×C7111yescharacteristic, complemented
1068#442C22×C7111yescharacteristic
1069#442C22×C7111yescharacteristic, complemented
1070#442C22×C7111yescharacteristic, complemented
1071#440C22×C7111yescharacteristic, complemented
1072#440C22×C7111yescharacteristic, complemented
1073#440C22×C7111yescharacteristic, complemented
1074#440C22×C7111yescharacteristic, complemented
1075#440C22×C7111yescharacteristic, complemented
1076C4×Q16C22×C7111yescharacteristic, complemented
1077C4×SD16C22×C7111yescharacteristic, complemented
1078C4×D8C22×C7111yescharacteristic, complemented
1079C4×D8C22×C7111yescharacteristic, complemented
1080#435C22×C7111yescharacteristic
1081#435C22×C7111yescharacteristic
1082#435C22×C7111yescharacteristic, complemented
1083#435C22×C7111yescharacteristic, complemented
1084C8×D4C22×C7111yescharacteristic, complemented
1085C8×D4C22×C7111yescharacteristic, complemented
1086#433C22×C7111yescharacteristic, complemented
1087#433C22×C7111yescharacteristic, complemented
1088#432C22×C7111yescharacteristic, complemented
1089#424C22×C7111yescharacteristic, complemented
1090#424C22×C7111yescharacteristic, complemented
1091C2×C4⋊C8C22×C7111yescharacteristic, complemented
1092#418C22×C7111yescharacteristic
1093#417C22×C7111yescharacteristic, complemented
1094#416C22×C7111yescharacteristic, complemented
1095#416C22×C7111yescharacteristic, complemented
1096#416C22×C7111yescharacteristic, complemented
1097C2×#102C22×C7111yescharacteristic, complemented
1098C2×#41—21no—
1099C2×#41—21no—
1100C2×#41C23×C7111yescharacteristic
1101C2×#41C23×C7111yescharacteristic
1102C2×#41C23×C7111yescharacteristic
1103C2×#41C23×C7111yescharacteristic
1104C2×#41C23×C7111yescharacteristic
1105C2×#41C23×C7111yescharacteristic
1106C22×D4—21no—
1107C22×D4C23×C7111yescharacteristic
1108C22×D4C23×C7111yescharacteristic
1109C22×D4C23×C7111yescharacteristic
1110AGL(1,ℤ/8)—42no—
1111AGL(1,ℤ/8)—42no—
1112#135—42no—
1113#135—42no—
1114#135—42no—
1115C2×Q16C23×C7111yescharacteristic
1116C2×Q16C23×C7111yescharacteristic
1117C2×Q16C23×C7111yescharacteristic
1118C2×Q16C23×C7111yescharacteristic
1119C2×SD16C23×C7111yescharacteristic
1120C2×SD16C23×C7111yescharacteristic
1121C2×SD16C23×C7111yescharacteristic
1122C2×SD16C23×C7111yescharacteristic
1123C2×SD16C23×C7111yescharacteristic
1124C2×SD16C23×C7111yescharacteristic
1125C2×SD16C23×C7111yescharacteristic
1126C2×SD16C23×C7111yescharacteristic
1127C2×SD16C23×C7111yescharacteristic
1128C2×SD16C23×C7111yescharacteristic
1129C2×SD16C23×C7111yescharacteristic
1130C2×SD16C23×C7111yescharacteristic
1131C2×D8—42no—
1132C2×D8C23×C7111yescharacteristic
1133C2×D8C23×C7111yescharacteristic
1134C2×D8C23×C7111yescharacteristic
1135C2×D8C23×C7111yescharacteristic
1136C2×D8C23×C7111yescharacteristic
1137C2×D8C23×C7111yescharacteristic
1138C2×D8C23×C7111yescharacteristic
1139C2×D8C23×C7111yescharacteristic
1140C2×M16C23×C7111yescharacteristic
1141C2×M16C23×C7111yescharacteristic
1142C22×C8C23×C7111yescharacteristic
1143C22×C8C23×C7111yescharacteristic
1144C22×C8C23×C7111yescharacteristic
1145C22×C8C23×C7111yescharacteristic
1146C4⋊Q8C23×C7111yescharacteristic
1147C4⋊Q8C23×C7111yescharacteristic
1148C4⋊Q8C23×C7111yescharacteristic
1149C4⋊Q8C23×C7111yescharacteristic
1150#127—21no—
1151#127—21no—
1152#127C23×C7111yescharacteristic
1153#127C23×C7111yescharacteristic
1154#127C23×C7111yescharacteristic
1155#127C23×C7111yescharacteristic
1156#126—21no—
1157#126—21no—
1158#126—21no—
1159#126—21no—
1160#126—21no—
1161#126—21no—
1162#126—21no—
1163#126—21no—
1164#126—21no—
1165#126—21no—
1166#126—21no—
1167#126—21no—
1168#126—21no—
1169#126—21no—
1170#126D4×C7111yescharacteristic
1171#126D4×C7111yescharacteristic
1172#125—21no—
1173#125—21no—
1174#125—21no—
1175#125D4×C7111yescharacteristic
1176#125C23×C7111yescharacteristic
1177#125C23×C7111yescharacteristic
1178#124—21no—
1179#124—21no—
1180#124—21no—
1181#124—21no—
1182#124—21no—
1183#124D4×C7111yescharacteristic
1184#124C23×C7111yescharacteristic
1185#124C23×C7111yescharacteristic
1186#124C23×C7111yescharacteristic
1187#124C23×C7111yescharacteristic
1188#124C23×C7111yescharacteristic
1189#124C23×C7111yescharacteristic
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123—21no—
1201#123—21no—
1202#123—21no—
1203#123—21no—
1204#123D4×C7111yescharacteristic
1205#123D4×C7111yescharacteristic
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8D4×C7111yescharacteristic
1215C22⋊Q8C23×C7111yescharacteristic
1216C22⋊Q8C23×C7111yescharacteristic
1217C22⋊Q8C23×C7111yescharacteristic
1218C22⋊Q8C23×C7111yescharacteristic
1219C22⋊Q8C23×C7111yescharacteristic
1220C22⋊Q8C23×C7111yescharacteristic
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121D4×C7111yescharacteristic
1244#121C23×C7111yescharacteristic
1245#121C23×C7111yescharacteristic
1246#121C23×C7111yescharacteristic
1247#121C23×C7111yescharacteristic
1248#121C23×C7111yescharacteristic
1249#121C23×C7111yescharacteristic
1250#120—21no—
1251#120—21no—
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—21no—
1256#120—21no—
1257#120—21no—
1258#120—21no—
1259#120—21no—
1260C4×Q8—21no—
1261C4×Q8C23×C7111yescharacteristic
1262C4×Q8C23×C7111yescharacteristic
1263C4×Q8C23×C7111yescharacteristic
1264C4×Q8C23×C7111yescharacteristic
1265C4×Q8C23×C7111yescharacteristic
1266C4×Q8C23×C7111yescharacteristic
1267C4×Q8C23×C7111yescharacteristic
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4C23×C7111yescharacteristic
1282C4×D4C23×C7111yescharacteristic
1283C4×D4C23×C7111yescharacteristic
1284C4×D4C23×C7111yescharacteristic
1285C4×D4C23×C7111yescharacteristic
1286C4×D4C23×C7111yescharacteristic
1287C4×D4C23×C7111yescharacteristic
1288C4×D4C23×C7111yescharacteristic
1289C4×D4C23×C7111yescharacteristic
1290C4×D4C23×C7111yescharacteristic
1291C4×D4C23×C7111yescharacteristic
1292C4×D4C23×C7111yescharacteristic
1293C4×D4C23×C7111yescharacteristic
1294#117—21no—
1295#117—21no—
1296#117—21no—
1297#117—21no—
1298#117—21no—
1299#117—21no—
1300#117C23×C7111yescharacteristic
1301#117C23×C7111yescharacteristic
1302#117C23×C7111yescharacteristic
1303#117C23×C7111yescharacteristic
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—21no—
1306C2×C4⋊C4—21no—
1307C2×C4⋊C4—21no—
1308C2×C4⋊C4C23×C7111yescharacteristic
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—21no—
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—21no—
1315C2×C42—21no—
1316C2×C42C23×C7111yescharacteristic
1317#107C23×C7111yescharacteristic
1318#107C23×C7111yescharacteristic
1319#107C23×C7111yescharacteristic
1320#107C23×C7111yescharacteristic
1321#106C23×C7111yescharacteristic
1322#106C23×C7111yescharacteristic
1323#106C23×C7111yescharacteristic
1324#106C23×C7111yescharacteristic
1325C4⋊C8C23×C7111yescharacteristic
1326C4⋊C8C23×C7111yescharacteristic
1327C4⋊C8C23×C7111yescharacteristic
1328C4⋊C8C23×C7111yescharacteristic
1329C4⋊C8C23×C7111yescharacteristic
1330C4⋊C8C23×C7111yescharacteristic
1331C4⋊C8C23×C7111yescharacteristic
1332C4⋊C8C23×C7111yescharacteristic
1333C4⋊C8C23×C7111yescharacteristic
1334C4⋊C8C23×C7111yescharacteristic
1335#103C23×C7111yescharacteristic
1336#103C23×C7111yescharacteristic
1337#103C23×C7111yescharacteristic
1338#103C23×C7111yescharacteristic
1339#103C23×C7111yescharacteristic
1340#103C23×C7111yescharacteristic
1341#103C23×C7111yescharacteristic
1342#103C23×C7111yescharacteristic
1343#103C23×C7111yescharacteristic
1344#103C23×C7111yescharacteristic
1345#103C23×C7111yescharacteristic
1346#103C23×C7111yescharacteristic
1347#102C23×C7111yescharacteristic
1348#102C23×C7111yescharacteristic
1349#102C23×C7111yescharacteristic
1350#102C23×C7111yescharacteristic
1351#102C23×C7111yescharacteristic
1352#102C23×C7111yescharacteristic
1353#102C23×C7111yescharacteristic
1354#102C23×C7111yescharacteristic
1355#102C23×C7111yescharacteristic
1356#102C23×C7111yescharacteristic
1357#102C23×C7111yescharacteristic
1358#102C23×C7111yescharacteristic
1359#102C23×C7111yescharacteristic
1360#102C23×C7111yescharacteristic
1361#102C23×C7111yescharacteristic
1362#102C23×C7111yescharacteristic
1363#102C23×C7111yescharacteristic
1364#102C23×C7111yescharacteristic
1365#102C23×C7111yescharacteristic
1366#102C23×C7111yescharacteristic
1367C22⋊C8C23×C7111yescharacteristic
1368C22⋊C8C23×C7111yescharacteristic
1369C22⋊C8C23×C7111yescharacteristic
1370C22⋊C8C23×C7111yescharacteristic
1371C22⋊C8C23×C7111yescharacteristic
1372C22⋊C8C23×C7111yescharacteristic
1373#97C23×C7111yescharacteristic
1374#97C23×C7111yescharacteristic
1375#97C23×C7111yescharacteristic
1376#97C23×C7111yescharacteristic
1377C4×C8C23×C7111yescharacteristic
1378C4×C8C23×C7111yescharacteristic
1379C24—21no—
1380C24—21no—
1381C24—21no—
1382#41—22no—
1383#41—22no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—41no—
1389#41—41no—
1390#41—41no—
1391#41—41no—
1392#41—41no—
1393#41—41no—
1394#41—82no—
1395#41—82no—
1396C2×Q8—21no—
1397C2×Q8—21no—
1398C2×Q8C2×D4×C7111yescharacteristic
1399C2×Q8C24×C7111yescharacteristic
1400C2×Q8C24×C7111yescharacteristic
1401C2×Q8C24×C7111yescharacteristic
1402C2×Q8C24×C7111yescharacteristic
1403C2×D4—22no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—41no—
1428C2×D4—41no—
1429C2×D4—41no—
1430C2×D4—41no—
1431C2×D4—41no—
1432C2×D4—82no—
1433C2×D4C2×D4×C7111yescharacteristic
1434C2×D4C2×D4×C7111yescharacteristic
1435C2×D4C2×D4×C7111yescharacteristic
1436C2×D4C24×C7111yescharacteristic
1437C2×D4C24×C7111yescharacteristic
1438C2×D4C24×C7111yescharacteristic
1439C2×D4C24×C7111yescharacteristic
1440C2×D4C24×C7111yescharacteristic
1441C2×D4C24×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×C4C2×D4×C7111yescharacteristic
1460C22×C4C2×D4×C7111yescharacteristic
1461C22×C4C24×C7111yescharacteristic
1462C22×C4C24×C7111yescharacteristic
1463C22×C4C24×C7111yescharacteristic
1464Q16—41no—
1465Q16—41no—
1466Q16—41no—
1467Q16—41no—
1468SD16—22no—
1469SD16—22no—
1470SD16—41no—
1471SD16—41no—
1472SD16—41no—
1473SD16—41no—
1474SD16—41no—
1475SD16—41no—
1476SD16—41no—
1477SD16—41no—
1478SD16—41no—
1479SD16—41no—
1480D8—22no—
1481D8—22no—
1482D8—22no—
1483D8—22no—
1484D8—41no—
1485D8—41no—
1486D8—41no—
1487D8—41no—
1488M16—41no—
1489M16—41no—
1490C2×C8—41no—
1491C2×C8—41no—
1492C2×C8—41no—
1493C2×C8—41no—
1494C2×C8C24×C7111yescharacteristic
1495C2×C8C24×C7111yescharacteristic
1496C2×C8C24×C7111yescharacteristic
1497C2×C8C24×C7111yescharacteristic
1498C2×C8C24×C7111yescharacteristic
1499C2×C8C24×C7111yescharacteristic
1500C2×C8C24×C7111yescharacteristic
1501C2×C8C24×C7111yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4C2×D4×C7111yescharacteristic
1526C4⋊C4C2×D4×C7111yescharacteristic
1527C4⋊C4C2×D4×C7111yescharacteristic
1528C4⋊C4C2×D4×C7111yescharacteristic
1529C4⋊C4C2×D4×C7111yescharacteristic
1530C4⋊C4C2×D4×C7111yescharacteristic
1531C4⋊C4C2×D4×C7111yescharacteristic
1532C4⋊C4C2×D4×C7111yescharacteristic
1533C4⋊C4C2×D4×C7111yescharacteristic
1534C4⋊C4C2×D4×C7111yescharacteristic
1535C4⋊C4C24×C7111yescharacteristic
1536C4⋊C4C24×C7111yescharacteristic
1537C4⋊C4C24×C7111yescharacteristic
1538C4⋊C4C24×C7111yescharacteristic
1539C4⋊C4C24×C7111yescharacteristic
1540C4⋊C4C24×C7111yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4C2×D4×C7111yescharacteristic
1578C22⋊C4C2×D4×C7111yescharacteristic
1579C22⋊C4C2×D4×C7111yescharacteristic
1580C22⋊C4C2×D4×C7111yescharacteristic
1581C22⋊C4C2×D4×C7111yescharacteristic
1582C22⋊C4C2×D4×C7111yescharacteristic
1583C22⋊C4C2×D4×C7111yescharacteristic
1584C22⋊C4C2×D4×C7111yescharacteristic
1585C22⋊C4C2×D4×C7111yescharacteristic
1586C22⋊C4C2×D4×C7111yescharacteristic
1587C42—21no—
1588C42—21no—
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—21no—
1593C42—21no—
1594C42—21no—
1595C42C2×D4×C7111yescharacteristic
1596C42C2×D4×C7111yescharacteristic
1597C42C24×C7111yescharacteristic
1598C42C24×C7111yescharacteristic
1599C42C24×C7111yescharacteristic
1600C42C24×C7111yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—42no—
1608C23—81no—
1609C23—81no—
1610C23—81no—
1611C23—81no—
1612C23—81no—
1613C23—81no—
1614C23—81no—
1615C23—81no—
1616C23C22×D4×C7111yescharacteristic
1617C23C22×D4×C7111yescharacteristic
1618C23C22×D4×C7111yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—21no—
1626Q8—21no—
1627Q8—41no—
1628Q8—81no—
1629Q8—81no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—21no—
1640D4—21no—
1641D4—41no—
1642D4—41no—
1643D4—41no—
1644D4—42no—
1645D4—42no—
1646D4—42no—
1647D4—42no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—81no—
1667D4H(5,𝔽2)×C7112yes—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—42no—
1687C2×C4—42no—
1688C2×C4—42no—
1689C2×C4—42no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—81no—
1696C2×C4—81no—
1697C2×C4—81no—
1698C2×C4—81no—
1699C2×C4—81no—
1700C2×C4—81no—
1701C2×C4—81no—
1702C2×C4—81no—
1703C2×C4C22×D4×C7111yescharacteristic
1704C2×C4C22×D4×C7111yescharacteristic
1705C2×C4C22×D4×C7111yescharacteristic
1706C2×C4C22×D4×C7111yescharacteristic
1707C2×C4C22×D4×C7111yescharacteristic
1708C2×C4C22×D4×C7111yescharacteristic
1709C2×C4C22×D4×C7111yescharacteristic
1710C2×C4C22×D4×C7111yescharacteristic
1711C2×C4C22×D4×C7111yescharacteristic
1712C2×C4C22×D4×C7111yescharacteristic
1713C2×C4C22×D4×C7111yescharacteristic
1714C2×C4C25×C7111yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—21no—
1720C8—21no—
1721C8—21no—
1722C8—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—21no—
1732C22—22no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—162no—
1751C22—162no—
1752C22—162no—
1753C22C23×D4×C7111yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4C2×H(5,𝔽2)×C7111yescharacteristic
1776C4#585×C7111yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—41no—
1780C2—42no—
1781C2—81no—
1782C2—81no—
1783C2—81no—
1784C2—81no—
1785C2—81no—
1786C2C71×#348811yescharacteristic
1787C2C71×#358411yescharacteristic
1788C2C71×#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×#3546C2semidirect
2. C71×#3521C2semidirect
3. C71×#3402C2semidirect
4. C71×#3397C2semidirect
5. C71×#3376C2semidirect
6. C71×#3366C2semidirect
7. C71×#3315C2semidirect
8. C71×#3311C2semidirect
9. C71×#3310C2semidirect
10. C71×#3309C2semidirect
11. C71×#3304C2semidirect
12. C71×#3297C2semidirect
13. C71×#3284C2semidirect
14. C71×#3280C2semidirect
15. C71×#3268C2semidirect
16. C71×#3267C2semidirect
17. C71×#3267C2semidirect
18. C71×#3264C2semidirect
19. C71×#3263C2semidirect
20. C71×#3258C2semidirect
21. C71×#3247C2semidirect
22. C71×#3224C2semidirect
23. C71×#3222C2semidirect
24. C71×#3219C2semidirect
25. C71×#3124C2semidirect
26. C71×#3118C2semidirect
27. C71×#3115C2semidirect
28. C71×#3045C2semidirect
29. C71×#3041C2semidirect
30. C71×#3035C2semidirect
31. C71×#2992C2semidirect
33. C2×AGL(1,ℤ/8)×C71C22semidirect
34. C2×#135×C71C22semidirect
35. C2×#135×C71C22semidirect
36. C2×#135×C71C22semidirect
40. #556×C71C22semidirect
41. #556×C71C22semidirect
42. #556×C71C22semidirect
43. #554×C71C22semidirect
46. #553×C71C22semidirect
52. #550×C71C22semidirect
53. #550×C71C22semidirect
55. #547×C71C22semidirect
59. #546×C71C22semidirect
60. #546×C71C22semidirect
63. #542×C71C22semidirect
64. #542×C71C22semidirect
65. #541×C71C22semidirect
73. #535×C71C22semidirect
74. #532×C71C22semidirect
75. #532×C71C22semidirect
78. #529×C71C22semidirect
80. #520×C71C22semidirect
81. #518×C71C22semidirect
82. C4×#41×C71C22semidirect
83. #497×C71C22semidirect
84. #497×C71C22semidirect
86. #496×C71C22semidirect
88. #492×C71C22semidirect
89. #491×C71C22semidirect
90. #490×C71C22semidirect
91. #490×C71C22semidirect
92. #489×C71C22semidirect
93. #488×C71C22semidirect
94. #486×C71C22semidirect
95. #485×C71C22semidirect
96. #484×C71C22semidirect
98. #482×C71C22semidirect
99. #482×C71C22semidirect
100. #480×C71C22semidirect
101. #479×C71C22semidirect
102. #478×C71C22semidirect
103. #478×C71C22semidirect
104. #478×C71C22semidirect
105. #477×C71C22semidirect
106. #476×C71C22semidirect
107. #476×C71C22semidirect
108. #475×C71C22semidirect
109. #475×C71C22semidirect
110. #474×C71C22semidirect
111. #470×C71C22semidirect
112. #470×C71C22semidirect
115. #467×C71C22semidirect
117. #466×C71C22semidirect
119. #465×C71C22semidirect
120. #465×C71C22semidirect
121. #465×C71C22semidirect
122. #465×C71C22semidirect
123. #464×C71C22semidirect
124. #464×C71C22semidirect
125. #464×C71C22semidirect
126. #464×C71C22semidirect
127. #464×C71C22semidirect
128. #464×C71C22semidirect
133. #463×C71C22semidirect
134. #463×C71C22semidirect
135. #463×C71C22semidirect
136. #463×C71C22semidirect
137. #463×C71C22semidirect
138. #463×C71C22semidirect
139. #462×C71C22semidirect
140. #462×C71C22semidirect
141. #461×C71C22semidirect
142. #461×C71C22semidirect
143. #460×C71C22semidirect
144. #460×C71C22semidirect
145. #460×C71C22semidirect
146. #460×C71C22semidirect
150. #459×C71C22semidirect
151. #459×C71C22semidirect
152. #459×C71C22semidirect
153. #452×C71C22semidirect
154. #452×C71C22semidirect
155. #452×C71C22semidirect
156. #452×C71C22semidirect
157. #452×C71C22semidirect
158. #452×C71C22semidirect
161. #450×C71C22semidirect
162. #450×C71C22semidirect
165. #449×C71C22semidirect
166. #449×C71C22semidirect
167. #449×C71C22semidirect
168. #449×C71C22semidirect
171. #446×C71C22semidirect
172. #446×C71C22semidirect
174. #442×C71C22semidirect
175. #442×C71C22semidirect
176. #440×C71C22semidirect
177. #440×C71C22semidirect
178. #440×C71C22semidirect
179. #440×C71C22semidirect
180. #440×C71C22semidirect
181. C4×Q16×C71C22semidirect
182. C4×SD16×C71C22semidirect
183. C4×D8×C71C22semidirect
184. C4×D8×C71C22semidirect
187. #435×C71C22semidirect
188. #435×C71C22semidirect
189. C8×D4×C71C22semidirect
190. C8×D4×C71C22semidirect
191. #433×C71C22semidirect
192. #433×C71C22semidirect
193. #432×C71C22semidirect
194. #424×C71C22semidirect
195. #424×C71C22semidirect
196. C2×C4⋊C8×C71C22semidirect
198. #417×C71C22semidirect
199. #416×C71C22semidirect
200. #416×C71C22semidirect
201. #416×C71C22semidirect
202. C2×#102×C71C22semidirect
882. #62024C71direct (N × H)
895. #3546C2×C71semidirect
896. #3521C2×C71semidirect
897. #3402C2×C71semidirect
898. #3397C2×C71semidirect
899. #3376C2×C71semidirect
900. #3366C2×C71semidirect
901. #3315C2×C71semidirect
902. #3311C2×C71semidirect
903. #3310C2×C71semidirect
904. #3309C2×C71semidirect
905. #3304C2×C71semidirect
906. #3297C2×C71semidirect
907. #3284C2×C71semidirect
908. #3280C2×C71semidirect
909. #3268C2×C71semidirect
910. #3267C2×C71semidirect
911. #3267C2×C71semidirect
912. #3264C2×C71semidirect
913. #3263C2×C71semidirect
914. #3258C2×C71semidirect
915. #3247C2×C71semidirect
916. #3224C2×C71semidirect
917. #3222C2×C71semidirect
918. #3219C2×C71semidirect
919. #3124C2×C71semidirect
920. #3118C2×C71semidirect
921. #3115C2×C71semidirect
922. #3045C2×C71semidirect
923. #3041C2×C71semidirect
924. #3035C2×C71semidirect
925. #2992C2×C71semidirect
926. C71#62024direct (N × H)
928. C2×AGL(1,ℤ/8)C22×C71semidirect
929. C2×#135C22×C71semidirect
930. C2×#135C22×C71semidirect
931. C2×#135C22×C71semidirect
935. #556C22×C71semidirect
936. #556C22×C71semidirect
937. #556C22×C71semidirect
938. #554C22×C71semidirect
941. #553C22×C71semidirect
947. #550C22×C71semidirect
948. #550C22×C71semidirect
950. #547C22×C71semidirect
954. #546C22×C71semidirect
955. #546C22×C71semidirect
958. #542C22×C71semidirect
959. #542C22×C71semidirect
960. #541C22×C71semidirect
968. #535C22×C71semidirect
969. #532C22×C71semidirect
970. #532C22×C71semidirect
973. #529C22×C71semidirect
975. #520C22×C71semidirect
976. #518C22×C71semidirect
977. C4×#41C22×C71semidirect
978. #497C22×C71semidirect
979. #497C22×C71semidirect
981. #496C22×C71semidirect
983. #492C22×C71semidirect
984. #491C22×C71semidirect
985. #490C22×C71semidirect
986. #490C22×C71semidirect
987. #489C22×C71semidirect
988. #488C22×C71semidirect
989. #486C22×C71semidirect
990. #485C22×C71semidirect
991. #484C22×C71semidirect
993. #482C22×C71semidirect
994. #482C22×C71semidirect
995. #480C22×C71semidirect
996. #479C22×C71semidirect
997. #478C22×C71semidirect
998. #478C22×C71semidirect
999. #478C22×C71semidirect
1000. #477C22×C71semidirect
1001. #476C22×C71semidirect
1002. #476C22×C71semidirect
1003. #475C22×C71semidirect
1004. #475C22×C71semidirect
1005. #474C22×C71semidirect
1006. #470C22×C71semidirect
1007. #470C22×C71semidirect
1010. #467C22×C71semidirect
1012. #466C22×C71semidirect
1014. #465C22×C71semidirect
1015. #465C22×C71semidirect
1016. #465C22×C71semidirect
1017. #465C22×C71semidirect
1018. #464C22×C71semidirect
1019. #464C22×C71semidirect
1020. #464C22×C71semidirect
1021. #464C22×C71semidirect
1022. #464C22×C71semidirect
1023. #464C22×C71semidirect
1028. #463C22×C71semidirect
1029. #463C22×C71semidirect
1030. #463C22×C71semidirect
1031. #463C22×C71semidirect
1032. #463C22×C71semidirect
1033. #463C22×C71semidirect
1034. #462C22×C71semidirect
1035. #462C22×C71semidirect
1036. #461C22×C71semidirect
1037. #461C22×C71semidirect
1038. #460C22×C71semidirect
1039. #460C22×C71semidirect
1040. #460C22×C71semidirect
1041. #460C22×C71semidirect
1045. #459C22×C71semidirect
1046. #459C22×C71semidirect
1047. #459C22×C71semidirect
1048. #452C22×C71semidirect
1049. #452C22×C71semidirect
1050. #452C22×C71semidirect
1051. #452C22×C71semidirect
1052. #452C22×C71semidirect
1053. #452C22×C71semidirect
1056. #450C22×C71semidirect
1057. #450C22×C71semidirect
1060. #449C22×C71semidirect
1061. #449C22×C71semidirect
1062. #449C22×C71semidirect
1063. #449C22×C71semidirect
1066. #446C22×C71semidirect
1067. #446C22×C71semidirect
1069. #442C22×C71semidirect
1070. #442C22×C71semidirect
1071. #440C22×C71semidirect
1072. #440C22×C71semidirect
1073. #440C22×C71semidirect
1074. #440C22×C71semidirect
1075. #440C22×C71semidirect
1076. C4×Q16C22×C71semidirect
1077. C4×SD16C22×C71semidirect
1078. C4×D8C22×C71semidirect
1079. C4×D8C22×C71semidirect
1082. #435C22×C71semidirect
1083. #435C22×C71semidirect
1084. C8×D4C22×C71semidirect
1085. C8×D4C22×C71semidirect
1086. #433C22×C71semidirect
1087. #433C22×C71semidirect
1088. #432C22×C71semidirect
1089. #424C22×C71semidirect
1090. #424C22×C71semidirect
1091. C2×C4⋊C8C22×C71semidirect
1093. #417C22×C71semidirect
1094. #416C22×C71semidirect
1095. #416C22×C71semidirect
1096. #416C22×C71semidirect
1097. C2×#102C22×C71semidirect

Maximal subgroups

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

subgroupindex
C71×#35462
C71×#35212
C71×#34022
C71×#33972
C71×#33762
C71×#33662
C71×#33152
C71×#33112
C71×#33102
C71×#33092
C71×#33042
C71×#32972
C71×#32842
C71×#32802
C71×#32682
C71×#32672
C71×#32642
C71×#32632
C71×#32582
C71×#32472
C71×#32242
C71×#32222
C71×#32192
C71×#31242
C71×#31182
C71×#31152
C71×#30452
C71×#30412
C71×#30352
C71×#29922
#6202471