Finite Group Databasebeta

← C71×#62012 #31882884

Subgroups — C71×#62012 #31882884

Order 18176.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C71×#3562C211yesmaximal, characteristic, complemented
2C71×#3515C211yesmaximal, characteristic, complemented
3C71×#3400C211yesmaximal, characteristic, complemented
4C71×#3398C211yesmaximal, characteristic, complemented
5C71×#3376C211yesmaximal, characteristic, complemented
6C71×#3370C211yesmaximal, characteristic, complemented
7C71×#3317C211yesmaximal, characteristic, complemented
8C71×#3316C211yesmaximal, characteristic, complemented
9C71×#3315C211yesmaximal, characteristic, complemented
10C71×#3314C211yesmaximal, characteristic, complemented
11C71×#3300C211yesmaximal, characteristic, complemented
12C71×#3296C211yesmaximal, characteristic, complemented
13C71×#3284C211yesmaximal, characteristic, complemented
14C71×#3283C211yesmaximal, characteristic, complemented
15C71×#3269C211yesmaximal, characteristic, complemented
16C71×#3269C211yesmaximal, characteristic, complemented
17C71×#3267C211yesmaximal, characteristic, complemented
18C71×#3267C211yesmaximal, characteristic, complemented
19C71×#3261C211yesmaximal, characteristic, complemented
20C71×#3260C211yesmaximal, characteristic, complemented
21C71×#3248C211yesmaximal, characteristic, complemented
22C71×#3223C211yesmaximal, characteristic, complemented
23C71×#3222C211yesmaximal, characteristic, complemented
24C71×#3216C211yesmaximal, characteristic, complemented
25C71×#3120C211yesmaximal, characteristic, complemented
26C71×#3119C211yesmaximal, characteristic, complemented
27C71×#3111C211yesmaximal, characteristic, complemented
28C71×#3046C211yesmaximal, characteristic, complemented
29C71×#3045C211yesmaximal, characteristic, complemented
30C71×#3035C211yesmaximal, characteristic, complemented
31C71×#2992C211yesmaximal, characteristic, complemented
32C2×#137×C71C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C71C2211yescharacteristic
34C2×#135×C71C2211yescharacteristic
35C2×#135×C71C2211yescharacteristic
36C2×#135×C71C2211yescharacteristic
37C2×#135×C71C2211yescharacteristic, complemented
38#562×C71—21no—
39#560×C71—21no—
40#559×C71C2211yescharacteristic
41#557×C71C2211yescharacteristic, complemented
42#556×C71C2211yescharacteristic
43#554×C71C2211yescharacteristic
44#554×C71C2211yescharacteristic, complemented
45#553×C71—21no—
46#553×C71—21no—
47#552×C71—21no—
48#552×C71—21no—
49#552×C71—21no—
50#552×C71C2211yescharacteristic
51#552×C71C2211yescharacteristic, complemented
52#551×C71—21no—
53#550×C71C2211yescharacteristic
54#548×C71C2211yescharacteristic
55#548×C71C2211yescharacteristic
56#547×C71C2211yescharacteristic
57#547×C71C2211yescharacteristic
58#547×C71C2211yescharacteristic
59#547×C71C2211yescharacteristic, complemented
60#546×C71C2211yescharacteristic
61#546×C71C2211yescharacteristic
62#541×C71C2211yescharacteristic
63#541×C71C2211yescharacteristic
64#541×C71C2211yescharacteristic, complemented
65#540×C71—21no—
66#540×C71C2211yescharacteristic
67#539×C71—21no—
68#539×C71—21no—
69#539×C71—21no—
70#538×C71—21no—
71#538×C71—21no—
72#536×C71C2211yescharacteristic
73#535×C71C2211yescharacteristic
74#533×C71C2211yescharacteristic, complemented
75#532×C71C2211yescharacteristic
76#529×C71—21no—
77#529×C71C2211yescharacteristic
78#529×C71C2211yescharacteristic
79C2×#125×C71—21no—
80#520×C71C2211yescharacteristic
81#520×C71C2211yescharacteristic, complemented
82C4×#41×C71C2211yescharacteristic, complemented
83#497×C71C2211yescharacteristic
84#497×C71C2211yescharacteristic
85#497×C71C2211yescharacteristic
86#497×C71C2211yescharacteristic, complemented
87#494×C71C2211yescharacteristic, complemented
88#492×C71C2211yescharacteristic
89#491×C71C2211yescharacteristic, complemented
90#490×C71C2211yescharacteristic
91#489×C71C2211yescharacteristic
92#489×C71C2211yescharacteristic, complemented
93#488×C71C2211yescharacteristic
94#488×C71C2211yescharacteristic
95#485×C71C2211yescharacteristic, complemented
96#484×C71C2211yescharacteristic
97#483×C71C2211yescharacteristic
98#482×C71C2211yescharacteristic
99#481×C71C2211yescharacteristic, complemented
100#480×C71C2211yescharacteristic
101#479×C71C2211yescharacteristic, complemented
102#479×C71C2211yescharacteristic, complemented
103#479×C71C2211yescharacteristic, complemented
104#479×C71C2211yescharacteristic, complemented
105#479×C71C2211yescharacteristic, complemented
106#478×C71C2211yescharacteristic
107#478×C71C2211yescharacteristic, complemented
108#478×C71C2211yescharacteristic, complemented
109#475×C71C2211yescharacteristic, complemented
110#474×C71C2211yescharacteristic
111#470×C71C2211yescharacteristic
112#470×C71C2211yescharacteristic
113#468×C71C2211yescharacteristic
114#468×C71C2211yescharacteristic, complemented
115#467×C71C2211yescharacteristic
116#467×C71C2211yescharacteristic
117#467×C71C2211yescharacteristic, complemented
118#467×C71C2211yescharacteristic, complemented
119#465×C71C2211yescharacteristic
120#465×C71C2211yescharacteristic
121#465×C71C2211yescharacteristic
122#465×C71C2211yescharacteristic, complemented
123#464×C71C2211yescharacteristic
124#464×C71C2211yescharacteristic
125#464×C71C2211yescharacteristic
126#464×C71C2211yescharacteristic
127#464×C71C2211yescharacteristic
128#464×C71C2211yescharacteristic
129#464×C71C2211yescharacteristic, complemented
130#463×C71C2211yescharacteristic
131#463×C71C2211yescharacteristic
132#463×C71C2211yescharacteristic
133#463×C71C2211yescharacteristic
134#463×C71C2211yescharacteristic, complemented
135#462×C71C2211yescharacteristic, complemented
136#462×C71C2211yescharacteristic, complemented
137#462×C71C2211yescharacteristic, complemented
138#462×C71C2211yescharacteristic, complemented
139#462×C71C2211yescharacteristic, complemented
140#462×C71C2211yescharacteristic, complemented
141#462×C71C2211yescharacteristic, complemented
142#461×C71C2211yescharacteristic
143#461×C71C2211yescharacteristic
144#461×C71C2211yescharacteristic, complemented
145#461×C71C2211yescharacteristic, complemented
146#461×C71C2211yescharacteristic, complemented
147#460×C71C2211yescharacteristic
148#460×C71C2211yescharacteristic
149#460×C71C2211yescharacteristic
150#460×C71C2211yescharacteristic
151#459×C71C2211yescharacteristic
152#459×C71C2211yescharacteristic
153#452×C71C2211yescharacteristic
154#452×C71C2211yescharacteristic
155#452×C71C2211yescharacteristic
156#452×C71C2211yescharacteristic
157#452×C71C2211yescharacteristic
158#452×C71C2211yescharacteristic
159#452×C71C2211yescharacteristic
160#452×C71C2211yescharacteristic
161#452×C71C2211yescharacteristic, complemented
162#452×C71C2211yescharacteristic, complemented
163#452×C71C2211yescharacteristic, complemented
164#451×C71C2211yescharacteristic, complemented
165#451×C71C2211yescharacteristic, complemented
166#450×C71C2211yescharacteristic
167#450×C71C2211yescharacteristic
168#449×C71C2211yescharacteristic
169#449×C71C2211yescharacteristic
170#449×C71C2211yescharacteristic, complemented
171#446×C71C2211yescharacteristic, complemented
172#446×C71C2211yescharacteristic, complemented
173#442×C71C2211yescharacteristic
174#442×C71C2211yescharacteristic
175#441×C71C2211yescharacteristic, complemented
176#441×C71C2211yescharacteristic, complemented
177#440×C71C2211yescharacteristic
178#440×C71C2211yescharacteristic, complemented
179#440×C71C2211yescharacteristic, complemented
180#440×C71C2211yescharacteristic, complemented
181C4×Q16×C71C2211yescharacteristic, complemented
182C4×SD16×C71C2211yescharacteristic
183C4×SD16×C71C2211yescharacteristic, complemented
184C4×D8×C71C2211yescharacteristic, complemented
185#435×C71C2211yescharacteristic
186#435×C71C2211yescharacteristic
187#435×C71C2211yescharacteristic
188#435×C71C2211yescharacteristic, complemented
189C8×D4×C71C2211yescharacteristic
190C8×D4×C71C2211yescharacteristic, complemented
191#433×C71C2211yescharacteristic
192#433×C71C2211yescharacteristic, complemented
193#432×C71C2211yescharacteristic, complemented
194#424×C71C2211yescharacteristic
195#424×C71C2211yescharacteristic, complemented
196C2×C4⋊C8×C71C2211yescharacteristic, complemented
197#417×C71C2211yescharacteristic
198#417×C71C2211yescharacteristic
199#416×C71C2211yescharacteristic
200#416×C71C2211yescharacteristic, complemented
201C2×#103×C71C2211yescharacteristic, complemented
202C2×#102×C71C2211yescharacteristic
203C2×#41×C71C2311yescharacteristic
204C2×#41×C71C2311yescharacteristic
205C2×#41×C71C2311yescharacteristic
206C2×#41×C71C2311yescharacteristic
207C2×#41×C71C2311yescharacteristic
208C2×#41×C71C2311yescharacteristic
209C2×#41×C71C2311yescharacteristic
210C22×Q8×C71C2311yescharacteristic
211C22×D4×C71C2311yescharacteristic
212#137×C71—42no—
213AGL(1,ℤ/8)×C71—42no—
214#135×C71—42no—
215#135×C71—42no—
216#135×C71—42no—
217#135×C71—42no—
218C2×Q16×C71C2311yescharacteristic
219C2×Q16×C71C2311yescharacteristic
220C2×Q16×C71C2311yescharacteristic
221C2×Q16×C71C2311yescharacteristic
222C2×Q16×C71C2311yescharacteristic
223C2×Q16×C71C2311yescharacteristic
224C2×Q16×C71C2311yescharacteristic
225C2×Q16×C71C2311yescharacteristic
226C2×Q16×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×SD16×C71C2311yescharacteristic
237C2×SD16×C71C2311yescharacteristic
238C2×SD16×C71C2311yescharacteristic
239C2×D8×C71C2311yescharacteristic
240C2×D8×C71C2311yescharacteristic
241C2×D8×C71C2311yescharacteristic
242C2×M16×C71C2311yescharacteristic
243C2×M16×C71C2311yescharacteristic
244C22×C8×C71C2311yescharacteristic
245C22×C8×C71C2311yescharacteristic
246C22×C8×C71C2311yescharacteristic
247C22×C8×C71C2311yescharacteristic
248C4⋊Q8×C71C2311yescharacteristic
249C4⋊Q8×C71C2311yescharacteristic
250C4⋊Q8×C71C2311yescharacteristic
251C4⋊Q8×C71C2311yescharacteristic
252C4⋊Q8×C71C2311yescharacteristic
253C4⋊Q8×C71C2311yescharacteristic
254#127×C71—21no—
255#127×C71C2311yescharacteristic
256#127×C71C2311yescharacteristic
257#126×C71—21no—
258#126×C71—21no—
259#126×C71—21no—
260#126×C71—21no—
261#126×C71—21no—
262#126×C71—21no—
263#126×C71—21no—
264#126×C71—21no—
265#126×C71—21no—
266#126×C71—21no—
267#126×C71—21no—
268#126×C71D411yescharacteristic
269#126×C71D411yescharacteristic
270#125×C71—21no—
271#125×C71—21no—
272#125×C71—21no—
273#125×C71—21no—
274#125×C71—21no—
275#125×C71—21no—
276#125×C71—21no—
277#125×C71—21no—
278#125×C71—21no—
279#125×C71—21no—
280#125×C71—21no—
281#125×C71—21no—
282#125×C71—21no—
283#125×C71D411yescharacteristic
284#125×C71C2311yescharacteristic
285#125×C71C2311yescharacteristic
286#125×C71C2311yescharacteristic
287#124×C71—21no—
288#124×C71—21no—
289#124×C71—21no—
290#124×C71D411yescharacteristic
291#124×C71C2311yescharacteristic
292#124×C71C2311yescharacteristic
293#124×C71C2311yescharacteristic
294#124×C71C2311yescharacteristic
295#124×C71C2311yescharacteristic
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×C71—21no—
310#123×C71—21no—
311#123×C71—21no—
312#123×C71—21no—
313#123×C71—21no—
314#123×C71—21no—
315#123×C71D411yescharacteristic
316#123×C71D411yescharacteristic
317C22⋊Q8×C71—21no—
318C22⋊Q8×C71—21no—
319C22⋊Q8×C71—21no—
320C22⋊Q8×C71—21no—
321C22⋊Q8×C71—21no—
322C22⋊Q8×C71—21no—
323C22⋊Q8×C71—21no—
324C22⋊Q8×C71—21no—
325C22⋊Q8×C71—21no—
326C22⋊Q8×C71—21no—
327C22⋊Q8×C71—21no—
328C22⋊Q8×C71D411yescharacteristic
329C22⋊Q8×C71C2311yescharacteristic
330C22⋊Q8×C71C2311yescharacteristic
331C22⋊Q8×C71C2311yescharacteristic
332C22⋊Q8×C71C2311yescharacteristic
333C22⋊Q8×C71C2311yescharacteristic
334C22⋊Q8×C71C2311yescharacteristic
335C22⋊Q8×C71C2311yescharacteristic
336C22⋊Q8×C71C2311yescharacteristic
337C22⋊Q8×C71C2311yescharacteristic
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×C71—21no—
349#121×C71—21no—
350#121×C71—21no—
351#121×C71—21no—
352#121×C71—21no—
353#121×C71—21no—
354#121×C71D411yescharacteristic
355#121×C71C2311yescharacteristic
356#121×C71C2311yescharacteristic
357#121×C71C2311yescharacteristic
358#120×C71—21no—
359#120×C71—21no—
360#120×C71—21no—
361#120×C71—21no—
362C4×Q8×C71—21no—
363C4×Q8×C71—21no—
364C4×Q8×C71C2311yescharacteristic
365C4×Q8×C71C2311yescharacteristic
366C4×Q8×C71C2311yescharacteristic
367C4×Q8×C71C2311yescharacteristic
368C4×Q8×C71C2311yescharacteristic
369C4×Q8×C71C2311yescharacteristic
370C4×Q8×C71C2311yescharacteristic
371C4×Q8×C71C2311yescharacteristic
372C4×Q8×C71C2311yescharacteristic
373C4×Q8×C71C2311yescharacteristic
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×C71—21no—
387C4×D4×C71—21no—
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
398#117×C71—21no—
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×C71—21no—
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×C71—21no—
414C2×C4⋊C4×C71—21no—
415C2×C4⋊C4×C71—21no—
416C2×C4⋊C4×C71C2311yescharacteristic
417C2×C4⋊C4×C71C2311yescharacteristic
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#103×C71C2311yescharacteristic
453#103×C71C2311yescharacteristic
454#103×C71C2311yescharacteristic
455#103×C71C2311yescharacteristic
456#103×C71C2311yescharacteristic
457#103×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—
485#41×C71—22no—
486#41×C71—22no—
487#41×C71—22no—
488#41×C71—41no—
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—
499C2×Q8×C71—21no—
500C2×Q8×C71—21no—
501C2×Q8×C71—41no—
502C2×Q8×C71—41no—
503C2×Q8×C71C2×D411yescharacteristic
504C2×Q8×C71C2411yescharacteristic
505C2×Q8×C71C2411yescharacteristic
506C2×Q8×C71C2411yescharacteristic
507C2×Q8×C71C2411yescharacteristic
508C2×Q8×C71C2411yescharacteristic
509C2×Q8×C71C2411yescharacteristic
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—41no—
526C2×D4×C71—41no—
527C2×D4×C71C2×D411yescharacteristic
528C2×D4×C71C2×D411yescharacteristic
529C2×D4×C71C2×D411yescharacteristic
530C2×D4×C71C2411yescharacteristic
531C2×D4×C71C2411yescharacteristic
532C2×D4×C71C2411yescharacteristic
533C2×D4×C71C2411yescharacteristic
534C22×C4×C71—21no—
535C22×C4×C71—21no—
536C22×C4×C71—21no—
537C22×C4×C71—21no—
538C22×C4×C71—21no—
539C22×C4×C71—21no—
540C22×C4×C71—21no—
541C22×C4×C71—21no—
542C22×C4×C71—21no—
543C22×C4×C71—21no—
544C22×C4×C71—21no—
545C22×C4×C71—21no—
546C22×C4×C71—21no—
547C22×C4×C71—21no—
548C22×C4×C71—21no—
549C22×C4×C71—21no—
550C22×C4×C71—21no—
551C22×C4×C71C2×D411yescharacteristic
552C22×C4×C71C2×D411yescharacteristic
553C22×C4×C71C2411yescharacteristic
554C22×C4×C71C2411yescharacteristic
555C22×C4×C71C2411yescharacteristic
556Q16×C71—41no—
557Q16×C71—41no—
558Q16×C71—41no—
559Q16×C71—41no—
560Q16×C71—41no—
561Q16×C71—41no—
562Q16×C71—41no—
563Q16×C71—41no—
564Q16×C71—41no—
565SD16×C71—22no—
566SD16×C71—22no—
567SD16×C71—22no—
568SD16×C71—41no—
569SD16×C71—41no—
570SD16×C71—41no—
571SD16×C71—41no—
572SD16×C71—41no—
573SD16×C71—41no—
574SD16×C71—41no—
575SD16×C71—41no—
576SD16×C71—41no—
577D8×C71—22no—
578D8×C71—22no—
579D8×C71—22no—
580M16×C71—41no—
581M16×C71—41no—
582C2×C8×C71—41no—
583C2×C8×C71—41no—
584C2×C8×C71—41no—
585C2×C8×C71—41no—
586C2×C8×C71C2411yescharacteristic
587C2×C8×C71C2411yescharacteristic
588C2×C8×C71C2411yescharacteristic
589C2×C8×C71C2411yescharacteristic
590C2×C8×C71C2411yescharacteristic
591C2×C8×C71C2411yescharacteristic
592C2×C8×C71C2411yescharacteristic
593C2×C8×C71C2411yescharacteristic
594C4⋊C4×C71—21no—
595C4⋊C4×C71—21no—
596C4⋊C4×C71—21no—
597C4⋊C4×C71—21no—
598C4⋊C4×C71—21no—
599C4⋊C4×C71—21no—
600C4⋊C4×C71—21no—
601C4⋊C4×C71—21no—
602C4⋊C4×C71—21no—
603C4⋊C4×C71—21no—
604C4⋊C4×C71—21no—
605C4⋊C4×C71—21no—
606C4⋊C4×C71—21no—
607C4⋊C4×C71—21no—
608C4⋊C4×C71—21no—
609C4⋊C4×C71—21no—
610C4⋊C4×C71—21no—
611C4⋊C4×C71—21no—
612C4⋊C4×C71—21no—
613C4⋊C4×C71—21no—
614C4⋊C4×C71—21no—
615C4⋊C4×C71—21no—
616C4⋊C4×C71—21no—
617C4⋊C4×C71—21no—
618C4⋊C4×C71—21no—
619C4⋊C4×C71—21no—
620C4⋊C4×C71—21no—
621C4⋊C4×C71—21no—
622C4⋊C4×C71—21no—
623C4⋊C4×C71—21no—
624C4⋊C4×C71—21no—
625C4⋊C4×C71—21no—
626C4⋊C4×C71—21no—
627C4⋊C4×C71—21no—
628C4⋊C4×C71—21no—
629C4⋊C4×C71—21no—
630C4⋊C4×C71—21no—
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×C71C2×D411yescharacteristic
641C4⋊C4×C71C2411yescharacteristic
642C4⋊C4×C71C2411yescharacteristic
643C4⋊C4×C71C2411yescharacteristic
644C4⋊C4×C71C2411yescharacteristic
645C4⋊C4×C71C2411yescharacteristic
646C4⋊C4×C71C2411yescharacteristic
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×C71C2×D411yescharacteristic
678C22⋊C4×C71C2×D411yescharacteristic
679C22⋊C4×C71C2×D411yescharacteristic
680C22⋊C4×C71C2×D411yescharacteristic
681C22⋊C4×C71C2×D411yescharacteristic
682C22⋊C4×C71C2×D411yescharacteristic
683C22⋊C4×C71C2×D411yescharacteristic
684C22⋊C4×C71C2×D411yescharacteristic
685C22⋊C4×C71C2×D411yescharacteristic
686C22⋊C4×C71C2×D411yescharacteristic
687C42×C71—21no—
688C42×C71—21no—
689C42×C71—21no—
690C42×C71—21no—
691C42×C71—21no—
692C42×C71—21no—
693C42×C71—21no—
694C42×C71—21no—
695C42×C71—21no—
696C42×C71—21no—
697C42×C71C2×D411yescharacteristic
698C42×C71C2×D411yescharacteristic
699C42×C71C2411yescharacteristic
700C42×C71C2411yescharacteristic
701C42×C71C2411yescharacteristic
702C42×C71C2411yescharacteristic
703C23×C71—21no—
704C23×C71—21no—
705C23×C71—21no—
706C23×C71—21no—
707C23×C71—81no—
708C23×C71—81no—
709C23×C71—81no—
710C23×C71C22×D411yescharacteristic
711C23×C71C22×D411yescharacteristic
712C23×C71C22×D411yescharacteristic
713Q8×C71—21no—
714Q8×C71—21no—
715Q8×C71—21no—
716Q8×C71—21no—
717Q8×C71—21no—
718Q8×C71—21no—
719Q8×C71—21no—
720Q8×C71—21no—
721Q8×C71—21no—
722Q8×C71—21no—
723Q8×C71—21no—
724Q8×C71—21no—
725Q8×C71—41no—
726Q8×C71—81no—
727Q8×C71—81no—
728D4×C71—21no—
729D4×C71—21no—
730D4×C71—21no—
731D4×C71—21no—
732D4×C71—21no—
733D4×C71—21no—
734D4×C71—21no—
735D4×C71—41no—
736D4×C71—41no—
737D4×C71—41no—
738D4×C71—42no—
739D4×C71—42no—
740D4×C71—42no—
741D4×C71—81no—
742D4×C71—81no—
743D4×C71—81no—
744D4×C71—81no—
745D4×C71—81no—
746D4×C71—81no—
747D4×C71—81no—
748D4×C71—81no—
749D4×C71—81no—
750D4×C71—81no—
751D4×C71—81no—
752D4×C71—81no—
753D4×C71H(5,𝔽2)12yes—
754C2×C4×C71—21no—
755C2×C4×C71—21no—
756C2×C4×C71—21no—
757C2×C4×C71—21no—
758C2×C4×C71—21no—
759C2×C4×C71—21no—
760C2×C4×C71—21no—
761C2×C4×C71—21no—
762C2×C4×C71—21no—
763C2×C4×C71—21no—
764C2×C4×C71—21no—
765C2×C4×C71—21no—
766C2×C4×C71—21no—
767C2×C4×C71—21no—
768C2×C4×C71—21no—
769C2×C4×C71—21no—
770C2×C4×C71—21no—
771C2×C4×C71—21no—
772C2×C4×C71—41no—
773C2×C4×C71—41no—
774C2×C4×C71—42no—
775C2×C4×C71—42no—
776C2×C4×C71—42no—
777C2×C4×C71—42no—
778C2×C4×C71—81no—
779C2×C4×C71—81no—
780C2×C4×C71—81no—
781C2×C4×C71—81no—
782C2×C4×C71—81no—
783C2×C4×C71—81no—
784C2×C4×C71—81no—
785C2×C4×C71—81no—
786C2×C4×C71—81no—
787C2×C4×C71—81no—
788C2×C4×C71—81no—
789C2×C4×C71—81no—
790C2×C4×C71—81no—
791C2×C4×C71C22×D411yescharacteristic
792C2×C4×C71C22×D411yescharacteristic
793C2×C4×C71C22×D411yescharacteristic
794C2×C4×C71C22×D411yescharacteristic
795C2×C4×C71C22×D411yescharacteristic
796C2×C4×C71C22×D411yescharacteristic
797C2×C4×C71C22×D411yescharacteristic
798C2×C4×C71C22×D411yescharacteristic
799C2×C4×C71C22×D411yescharacteristic
800C2×C4×C71C22×D411yescharacteristic
801C2×C4×C71C22×D411yescharacteristic
802C2×C4×C71C2511yescharacteristic
803C8×C71—21no—
804C8×C71—21no—
805C8×C71—21no—
806C8×C71—21no—
807C8×C71—21no—
808C8×C71—21no—
809C8×C71—21no—
810C8×C71—21no—
811C22×C71—21no—
812C22×C71—21no—
813C22×C71—21no—
814C22×C71—21no—
815C22×C71—21no—
816C22×C71—21no—
817C22×C71—21no—
818C22×C71—21no—
819C22×C71—21no—
820C22×C71—22no—
821C22×C71—41no—
822C22×C71—41no—
823C22×C71—41no—
824C22×C71—41no—
825C22×C71—41no—
826C22×C71—41no—
827C22×C71—41no—
828C22×C71—41no—
829C22×C71—41no—
830C22×C71—41no—
831C22×C71—41no—
832C22×C71—162no—
833C22×C71C23×D411yescharacteristic
834C4×C71—21no—
835C4×C71—21no—
836C4×C71—21no—
837C4×C71—21no—
838C4×C71—21no—
839C4×C71—21no—
840C4×C71—21no—
841C4×C71—21no—
842C4×C71—21no—
843C4×C71—21no—
844C4×C71—21no—
845C4×C71—41no—
846C4×C71—41no—
847C4×C71—41no—
848C4×C71—41no—
849C4×C71—41no—
850C4×C71—41no—
851C4×C71—41no—
852C4×C71—41no—
853C4×C71—41no—
854C4×C71—41no—
855C4×C71—41no—
856C4×C71—41no—
857C4×C71C2×H(5,𝔽2)11yescharacteristic
858C4×C71#58511yescharacteristic
859#62012C7111yesmaximal, characteristic, direct product factor, Sylow
860C2×C71—41no—
861C2×C71—41no—
862C2×C71—41no—
863C2×C71—42no—
864C2×C71—81no—
865C2×C71—81no—
866C2×C71—81no—
867C2×C71#348811yescharacteristic
868C2×C71#358411yescharacteristic
869C2×C71#358611yescharacteristic
870#3562C2×C7111yescharacteristic, complemented
871#3515C2×C7111yescharacteristic, complemented
872#3400C2×C7111yescharacteristic, complemented
873#3398C2×C7111yescharacteristic, complemented
874#3376C2×C7111yescharacteristic, complemented
875#3370C2×C7111yescharacteristic, complemented
876#3317C2×C7111yescharacteristic, complemented
877#3316C2×C7111yescharacteristic, complemented
878#3315C2×C7111yescharacteristic, complemented
879#3314C2×C7111yescharacteristic, complemented
880#3300C2×C7111yescharacteristic, complemented
881#3296C2×C7111yescharacteristic, complemented
882#3284C2×C7111yescharacteristic, complemented
883#3283C2×C7111yescharacteristic, complemented
884#3269C2×C7111yescharacteristic, complemented
885#3269C2×C7111yescharacteristic, complemented
886#3267C2×C7111yescharacteristic, complemented
887#3267C2×C7111yescharacteristic, complemented
888#3261C2×C7111yescharacteristic, complemented
889#3260C2×C7111yescharacteristic, complemented
890#3248C2×C7111yescharacteristic, complemented
891#3223C2×C7111yescharacteristic, complemented
892#3222C2×C7111yescharacteristic, complemented
893#3216C2×C7111yescharacteristic, complemented
894#3120C2×C7111yescharacteristic, complemented
895#3119C2×C7111yescharacteristic, complemented
896#3111C2×C7111yescharacteristic, complemented
897#3046C2×C7111yescharacteristic, complemented
898#3045C2×C7111yescharacteristic, complemented
899#3035C2×C7111yescharacteristic, complemented
900#2992C2×C7111yescharacteristic, complemented
901C71#6201211yescharacteristic, direct product factor, Sylow
902C2×#137C22×C7111yescharacteristic, complemented
903C2×AGL(1,ℤ/8)C22×C7111yescharacteristic
904C2×#135C22×C7111yescharacteristic
905C2×#135C22×C7111yescharacteristic
906C2×#135C22×C7111yescharacteristic
907C2×#135C22×C7111yescharacteristic, complemented
908#562—21no—
909#560—21no—
910#559C22×C7111yescharacteristic
911#557C22×C7111yescharacteristic, complemented
912#556C22×C7111yescharacteristic
913#554C22×C7111yescharacteristic
914#554C22×C7111yescharacteristic, complemented
915#553—21no—
916#553—21no—
917#552—21no—
918#552—21no—
919#552—21no—
920#552C22×C7111yescharacteristic
921#552C22×C7111yescharacteristic, complemented
922#551—21no—
923#550C22×C7111yescharacteristic
924#548C22×C7111yescharacteristic
925#548C22×C7111yescharacteristic
926#547C22×C7111yescharacteristic
927#547C22×C7111yescharacteristic
928#547C22×C7111yescharacteristic
929#547C22×C7111yescharacteristic, complemented
930#546C22×C7111yescharacteristic
931#546C22×C7111yescharacteristic
932#541C22×C7111yescharacteristic
933#541C22×C7111yescharacteristic
934#541C22×C7111yescharacteristic, complemented
935#540—21no—
936#540C22×C7111yescharacteristic
937#539—21no—
938#539—21no—
939#539—21no—
940#538—21no—
941#538—21no—
942#536C22×C7111yescharacteristic
943#535C22×C7111yescharacteristic
944#533C22×C7111yescharacteristic, complemented
945#532C22×C7111yescharacteristic
946#529—21no—
947#529C22×C7111yescharacteristic
948#529C22×C7111yescharacteristic
949C2×#125—21no—
950#520C22×C7111yescharacteristic
951#520C22×C7111yescharacteristic, complemented
952C4×#41C22×C7111yescharacteristic, complemented
953#497C22×C7111yescharacteristic
954#497C22×C7111yescharacteristic
955#497C22×C7111yescharacteristic
956#497C22×C7111yescharacteristic, complemented
957#494C22×C7111yescharacteristic, complemented
958#492C22×C7111yescharacteristic
959#491C22×C7111yescharacteristic, complemented
960#490C22×C7111yescharacteristic
961#489C22×C7111yescharacteristic
962#489C22×C7111yescharacteristic, complemented
963#488C22×C7111yescharacteristic
964#488C22×C7111yescharacteristic
965#485C22×C7111yescharacteristic, complemented
966#484C22×C7111yescharacteristic
967#483C22×C7111yescharacteristic
968#482C22×C7111yescharacteristic
969#481C22×C7111yescharacteristic, complemented
970#480C22×C7111yescharacteristic
971#479C22×C7111yescharacteristic, complemented
972#479C22×C7111yescharacteristic, complemented
973#479C22×C7111yescharacteristic, complemented
974#479C22×C7111yescharacteristic, complemented
975#479C22×C7111yescharacteristic, complemented
976#478C22×C7111yescharacteristic
977#478C22×C7111yescharacteristic, complemented
978#478C22×C7111yescharacteristic, complemented
979#475C22×C7111yescharacteristic, complemented
980#474C22×C7111yescharacteristic
981#470C22×C7111yescharacteristic
982#470C22×C7111yescharacteristic
983#468C22×C7111yescharacteristic
984#468C22×C7111yescharacteristic, complemented
985#467C22×C7111yescharacteristic
986#467C22×C7111yescharacteristic
987#467C22×C7111yescharacteristic, complemented
988#467C22×C7111yescharacteristic, complemented
989#465C22×C7111yescharacteristic
990#465C22×C7111yescharacteristic
991#465C22×C7111yescharacteristic
992#465C22×C7111yescharacteristic, complemented
993#464C22×C7111yescharacteristic
994#464C22×C7111yescharacteristic
995#464C22×C7111yescharacteristic
996#464C22×C7111yescharacteristic
997#464C22×C7111yescharacteristic
998#464C22×C7111yescharacteristic
999#464C22×C7111yescharacteristic, complemented
1000#463C22×C7111yescharacteristic
1001#463C22×C7111yescharacteristic
1002#463C22×C7111yescharacteristic
1003#463C22×C7111yescharacteristic
1004#463C22×C7111yescharacteristic, complemented
1005#462C22×C7111yescharacteristic, complemented
1006#462C22×C7111yescharacteristic, complemented
1007#462C22×C7111yescharacteristic, complemented
1008#462C22×C7111yescharacteristic, complemented
1009#462C22×C7111yescharacteristic, complemented
1010#462C22×C7111yescharacteristic, complemented
1011#462C22×C7111yescharacteristic, complemented
1012#461C22×C7111yescharacteristic
1013#461C22×C7111yescharacteristic
1014#461C22×C7111yescharacteristic, complemented
1015#461C22×C7111yescharacteristic, complemented
1016#461C22×C7111yescharacteristic, complemented
1017#460C22×C7111yescharacteristic
1018#460C22×C7111yescharacteristic
1019#460C22×C7111yescharacteristic
1020#460C22×C7111yescharacteristic
1021#459C22×C7111yescharacteristic
1022#459C22×C7111yescharacteristic
1023#452C22×C7111yescharacteristic
1024#452C22×C7111yescharacteristic
1025#452C22×C7111yescharacteristic
1026#452C22×C7111yescharacteristic
1027#452C22×C7111yescharacteristic
1028#452C22×C7111yescharacteristic
1029#452C22×C7111yescharacteristic
1030#452C22×C7111yescharacteristic
1031#452C22×C7111yescharacteristic, complemented
1032#452C22×C7111yescharacteristic, complemented
1033#452C22×C7111yescharacteristic, complemented
1034#451C22×C7111yescharacteristic, complemented
1035#451C22×C7111yescharacteristic, complemented
1036#450C22×C7111yescharacteristic
1037#450C22×C7111yescharacteristic
1038#449C22×C7111yescharacteristic
1039#449C22×C7111yescharacteristic
1040#449C22×C7111yescharacteristic, complemented
1041#446C22×C7111yescharacteristic, complemented
1042#446C22×C7111yescharacteristic, complemented
1043#442C22×C7111yescharacteristic
1044#442C22×C7111yescharacteristic
1045#441C22×C7111yescharacteristic, complemented
1046#441C22×C7111yescharacteristic, complemented
1047#440C22×C7111yescharacteristic
1048#440C22×C7111yescharacteristic, complemented
1049#440C22×C7111yescharacteristic, complemented
1050#440C22×C7111yescharacteristic, complemented
1051C4×Q16C22×C7111yescharacteristic, complemented
1052C4×SD16C22×C7111yescharacteristic
1053C4×SD16C22×C7111yescharacteristic, complemented
1054C4×D8C22×C7111yescharacteristic, complemented
1055#435C22×C7111yescharacteristic
1056#435C22×C7111yescharacteristic
1057#435C22×C7111yescharacteristic
1058#435C22×C7111yescharacteristic, complemented
1059C8×D4C22×C7111yescharacteristic
1060C8×D4C22×C7111yescharacteristic, complemented
1061#433C22×C7111yescharacteristic
1062#433C22×C7111yescharacteristic, complemented
1063#432C22×C7111yescharacteristic, complemented
1064#424C22×C7111yescharacteristic
1065#424C22×C7111yescharacteristic, complemented
1066C2×C4⋊C8C22×C7111yescharacteristic, complemented
1067#417C22×C7111yescharacteristic
1068#417C22×C7111yescharacteristic
1069#416C22×C7111yescharacteristic
1070#416C22×C7111yescharacteristic, complemented
1071C2×#103C22×C7111yescharacteristic, complemented
1072C2×#102C22×C7111yescharacteristic
1073C2×#41C23×C7111yescharacteristic
1074C2×#41C23×C7111yescharacteristic
1075C2×#41C23×C7111yescharacteristic
1076C2×#41C23×C7111yescharacteristic
1077C2×#41C23×C7111yescharacteristic
1078C2×#41C23×C7111yescharacteristic
1079C2×#41C23×C7111yescharacteristic
1080C22×Q8C23×C7111yescharacteristic
1081C22×D4C23×C7111yescharacteristic
1082#137—42no—
1083AGL(1,ℤ/8)—42no—
1084#135—42no—
1085#135—42no—
1086#135—42no—
1087#135—42no—
1088C2×Q16C23×C7111yescharacteristic
1089C2×Q16C23×C7111yescharacteristic
1090C2×Q16C23×C7111yescharacteristic
1091C2×Q16C23×C7111yescharacteristic
1092C2×Q16C23×C7111yescharacteristic
1093C2×Q16C23×C7111yescharacteristic
1094C2×Q16C23×C7111yescharacteristic
1095C2×Q16C23×C7111yescharacteristic
1096C2×Q16C23×C7111yescharacteristic
1097C2×SD16C23×C7111yescharacteristic
1098C2×SD16C23×C7111yescharacteristic
1099C2×SD16C23×C7111yescharacteristic
1100C2×SD16C23×C7111yescharacteristic
1101C2×SD16C23×C7111yescharacteristic
1102C2×SD16C23×C7111yescharacteristic
1103C2×SD16C23×C7111yescharacteristic
1104C2×SD16C23×C7111yescharacteristic
1105C2×SD16C23×C7111yescharacteristic
1106C2×SD16C23×C7111yescharacteristic
1107C2×SD16C23×C7111yescharacteristic
1108C2×SD16C23×C7111yescharacteristic
1109C2×D8C23×C7111yescharacteristic
1110C2×D8C23×C7111yescharacteristic
1111C2×D8C23×C7111yescharacteristic
1112C2×M16C23×C7111yescharacteristic
1113C2×M16C23×C7111yescharacteristic
1114C22×C8C23×C7111yescharacteristic
1115C22×C8C23×C7111yescharacteristic
1116C22×C8C23×C7111yescharacteristic
1117C22×C8C23×C7111yescharacteristic
1118C4⋊Q8C23×C7111yescharacteristic
1119C4⋊Q8C23×C7111yescharacteristic
1120C4⋊Q8C23×C7111yescharacteristic
1121C4⋊Q8C23×C7111yescharacteristic
1122C4⋊Q8C23×C7111yescharacteristic
1123C4⋊Q8C23×C7111yescharacteristic
1124#127—21no—
1125#127C23×C7111yescharacteristic
1126#127C23×C7111yescharacteristic
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126—21no—
1135#126—21no—
1136#126—21no—
1137#126—21no—
1138#126D4×C7111yescharacteristic
1139#126D4×C7111yescharacteristic
1140#125—21no—
1141#125—21no—
1142#125—21no—
1143#125—21no—
1144#125—21no—
1145#125—21no—
1146#125—21no—
1147#125—21no—
1148#125—21no—
1149#125—21no—
1150#125—21no—
1151#125—21no—
1152#125—21no—
1153#125D4×C7111yescharacteristic
1154#125C23×C7111yescharacteristic
1155#125C23×C7111yescharacteristic
1156#125C23×C7111yescharacteristic
1157#124—21no—
1158#124—21no—
1159#124—21no—
1160#124D4×C7111yescharacteristic
1161#124C23×C7111yescharacteristic
1162#124C23×C7111yescharacteristic
1163#124C23×C7111yescharacteristic
1164#124C23×C7111yescharacteristic
1165#124C23×C7111yescharacteristic
1166#123—21no—
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123—21no—
1172#123—21no—
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—21no—
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123D4×C7111yescharacteristic
1186#123D4×C7111yescharacteristic
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8D4×C7111yescharacteristic
1199C22⋊Q8C23×C7111yescharacteristic
1200C22⋊Q8C23×C7111yescharacteristic
1201C22⋊Q8C23×C7111yescharacteristic
1202C22⋊Q8C23×C7111yescharacteristic
1203C22⋊Q8C23×C7111yescharacteristic
1204C22⋊Q8C23×C7111yescharacteristic
1205C22⋊Q8C23×C7111yescharacteristic
1206C22⋊Q8C23×C7111yescharacteristic
1207C22⋊Q8C23×C7111yescharacteristic
1208#121—21no—
1209#121—21no—
1210#121—21no—
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121—21no—
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121—21no—
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121D4×C7111yescharacteristic
1225#121C23×C7111yescharacteristic
1226#121C23×C7111yescharacteristic
1227#121C23×C7111yescharacteristic
1228#120—21no—
1229#120—21no—
1230#120—21no—
1231#120—21no—
1232C4×Q8—21no—
1233C4×Q8—21no—
1234C4×Q8C23×C7111yescharacteristic
1235C4×Q8C23×C7111yescharacteristic
1236C4×Q8C23×C7111yescharacteristic
1237C4×Q8C23×C7111yescharacteristic
1238C4×Q8C23×C7111yescharacteristic
1239C4×Q8C23×C7111yescharacteristic
1240C4×Q8C23×C7111yescharacteristic
1241C4×Q8C23×C7111yescharacteristic
1242C4×Q8C23×C7111yescharacteristic
1243C4×Q8C23×C7111yescharacteristic
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4—21no—
1251C4×D4—21no—
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—21no—
1258C4×D4C23×C7111yescharacteristic
1259C4×D4C23×C7111yescharacteristic
1260C4×D4C23×C7111yescharacteristic
1261C4×D4C23×C7111yescharacteristic
1262C4×D4C23×C7111yescharacteristic
1263C4×D4C23×C7111yescharacteristic
1264C4×D4C23×C7111yescharacteristic
1265C4×D4C23×C7111yescharacteristic
1266C4×D4C23×C7111yescharacteristic
1267C4×D4C23×C7111yescharacteristic
1268#117—21no—
1269#117—21no—
1270#117—21no—
1271#117—21no—
1272#117—21no—
1273#117—21no—
1274#117—21no—
1275#117—21no—
1276#117C23×C7111yescharacteristic
1277#117C23×C7111yescharacteristic
1278#117C23×C7111yescharacteristic
1279C2×C4⋊C4—21no—
1280C2×C4⋊C4—21no—
1281C2×C4⋊C4—21no—
1282C2×C4⋊C4—21no—
1283C2×C4⋊C4—21no—
1284C2×C4⋊C4—21no—
1285C2×C4⋊C4—21no—
1286C2×C4⋊C4C23×C7111yescharacteristic
1287C2×C4⋊C4C23×C7111yescharacteristic
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—21no—
1290C2×C42—21no—
1291C2×C42C23×C7111yescharacteristic
1292#107C23×C7111yescharacteristic
1293#107C23×C7111yescharacteristic
1294#107C23×C7111yescharacteristic
1295#107C23×C7111yescharacteristic
1296#106C23×C7111yescharacteristic
1297#106C23×C7111yescharacteristic
1298#106C23×C7111yescharacteristic
1299#106C23×C7111yescharacteristic
1300C4⋊C8C23×C7111yescharacteristic
1301C4⋊C8C23×C7111yescharacteristic
1302C4⋊C8C23×C7111yescharacteristic
1303C4⋊C8C23×C7111yescharacteristic
1304C4⋊C8C23×C7111yescharacteristic
1305C4⋊C8C23×C7111yescharacteristic
1306C4⋊C8C23×C7111yescharacteristic
1307C4⋊C8C23×C7111yescharacteristic
1308C4⋊C8C23×C7111yescharacteristic
1309C4⋊C8C23×C7111yescharacteristic
1310#103C23×C7111yescharacteristic
1311#103C23×C7111yescharacteristic
1312#103C23×C7111yescharacteristic
1313#103C23×C7111yescharacteristic
1314#103C23×C7111yescharacteristic
1315#103C23×C7111yescharacteristic
1316#103C23×C7111yescharacteristic
1317#103C23×C7111yescharacteristic
1318#103C23×C7111yescharacteristic
1319#103C23×C7111yescharacteristic
1320#103C23×C7111yescharacteristic
1321#103C23×C7111yescharacteristic
1322#103C23×C7111yescharacteristic
1323#103C23×C7111yescharacteristic
1324#103C23×C7111yescharacteristic
1325#103C23×C7111yescharacteristic
1326#103C23×C7111yescharacteristic
1327#103C23×C7111yescharacteristic
1328#102C23×C7111yescharacteristic
1329#102C23×C7111yescharacteristic
1330#102C23×C7111yescharacteristic
1331#102C23×C7111yescharacteristic
1332#102C23×C7111yescharacteristic
1333#102C23×C7111yescharacteristic
1334#102C23×C7111yescharacteristic
1335#102C23×C7111yescharacteristic
1336#102C23×C7111yescharacteristic
1337#102C23×C7111yescharacteristic
1338#102C23×C7111yescharacteristic
1339#102C23×C7111yescharacteristic
1340#102C23×C7111yescharacteristic
1341#102C23×C7111yescharacteristic
1342C22⋊C8C23×C7111yescharacteristic
1343C22⋊C8C23×C7111yescharacteristic
1344C22⋊C8C23×C7111yescharacteristic
1345C22⋊C8C23×C7111yescharacteristic
1346C22⋊C8C23×C7111yescharacteristic
1347C22⋊C8C23×C7111yescharacteristic
1348#97C23×C7111yescharacteristic
1349#97C23×C7111yescharacteristic
1350#97C23×C7111yescharacteristic
1351#97C23×C7111yescharacteristic
1352C4×C8C23×C7111yescharacteristic
1353C4×C8C23×C7111yescharacteristic
1354C24—21no—
1355#41—22no—
1356#41—22no—
1357#41—22no—
1358#41—41no—
1359#41—41no—
1360#41—41no—
1361#41—41no—
1362#41—41no—
1363#41—41no—
1364#41—41no—
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—41no—
1369C2×Q8—21no—
1370C2×Q8—21no—
1371C2×Q8—41no—
1372C2×Q8—41no—
1373C2×Q8C2×D4×C7111yescharacteristic
1374C2×Q8C24×C7111yescharacteristic
1375C2×Q8C24×C7111yescharacteristic
1376C2×Q8C24×C7111yescharacteristic
1377C2×Q8C24×C7111yescharacteristic
1378C2×Q8C24×C7111yescharacteristic
1379C2×Q8C24×C7111yescharacteristic
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4C2×D4×C7111yescharacteristic
1398C2×D4C2×D4×C7111yescharacteristic
1399C2×D4C2×D4×C7111yescharacteristic
1400C2×D4C24×C7111yescharacteristic
1401C2×D4C24×C7111yescharacteristic
1402C2×D4C24×C7111yescharacteristic
1403C2×D4C24×C7111yescharacteristic
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4C2×D4×C7111yescharacteristic
1422C22×C4C2×D4×C7111yescharacteristic
1423C22×C4C24×C7111yescharacteristic
1424C22×C4C24×C7111yescharacteristic
1425C22×C4C24×C7111yescharacteristic
1426Q16—41no—
1427Q16—41no—
1428Q16—41no—
1429Q16—41no—
1430Q16—41no—
1431Q16—41no—
1432Q16—41no—
1433Q16—41no—
1434Q16—41no—
1435SD16—22no—
1436SD16—22no—
1437SD16—22no—
1438SD16—41no—
1439SD16—41no—
1440SD16—41no—
1441SD16—41no—
1442SD16—41no—
1443SD16—41no—
1444SD16—41no—
1445SD16—41no—
1446SD16—41no—
1447D8—22no—
1448D8—22no—
1449D8—22no—
1450M16—41no—
1451M16—41no—
1452C2×C8—41no—
1453C2×C8—41no—
1454C2×C8—41no—
1455C2×C8—41no—
1456C2×C8C24×C7111yescharacteristic
1457C2×C8C24×C7111yescharacteristic
1458C2×C8C24×C7111yescharacteristic
1459C2×C8C24×C7111yescharacteristic
1460C2×C8C24×C7111yescharacteristic
1461C2×C8C24×C7111yescharacteristic
1462C2×C8C24×C7111yescharacteristic
1463C2×C8C24×C7111yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4C2×D4×C7111yescharacteristic
1502C4⋊C4C2×D4×C7111yescharacteristic
1503C4⋊C4C2×D4×C7111yescharacteristic
1504C4⋊C4C2×D4×C7111yescharacteristic
1505C4⋊C4C2×D4×C7111yescharacteristic
1506C4⋊C4C2×D4×C7111yescharacteristic
1507C4⋊C4C2×D4×C7111yescharacteristic
1508C4⋊C4C2×D4×C7111yescharacteristic
1509C4⋊C4C2×D4×C7111yescharacteristic
1510C4⋊C4C2×D4×C7111yescharacteristic
1511C4⋊C4C24×C7111yescharacteristic
1512C4⋊C4C24×C7111yescharacteristic
1513C4⋊C4C24×C7111yescharacteristic
1514C4⋊C4C24×C7111yescharacteristic
1515C4⋊C4C24×C7111yescharacteristic
1516C4⋊C4C24×C7111yescharacteristic
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4C2×D4×C7111yescharacteristic
1548C22⋊C4C2×D4×C7111yescharacteristic
1549C22⋊C4C2×D4×C7111yescharacteristic
1550C22⋊C4C2×D4×C7111yescharacteristic
1551C22⋊C4C2×D4×C7111yescharacteristic
1552C22⋊C4C2×D4×C7111yescharacteristic
1553C22⋊C4C2×D4×C7111yescharacteristic
1554C22⋊C4C2×D4×C7111yescharacteristic
1555C22⋊C4C2×D4×C7111yescharacteristic
1556C22⋊C4C2×D4×C7111yescharacteristic
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—21no—
1567C42C2×D4×C7111yescharacteristic
1568C42C2×D4×C7111yescharacteristic
1569C42C24×C7111yescharacteristic
1570C42C24×C7111yescharacteristic
1571C42C24×C7111yescharacteristic
1572C42C24×C7111yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—81no—
1578C23—81no—
1579C23—81no—
1580C23C22×D4×C7111yescharacteristic
1581C23C22×D4×C7111yescharacteristic
1582C23C22×D4×C7111yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—21no—
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—21no—
1594Q8—21no—
1595Q8—41no—
1596Q8—81no—
1597Q8—81no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—41no—
1606D4—41no—
1607D4—41no—
1608D4—42no—
1609D4—42no—
1610D4—42no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4H(5,𝔽2)×C7112yes—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—42no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—42no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4C22×D4×C7111yescharacteristic
1662C2×C4C22×D4×C7111yescharacteristic
1663C2×C4C22×D4×C7111yescharacteristic
1664C2×C4C22×D4×C7111yescharacteristic
1665C2×C4C22×D4×C7111yescharacteristic
1666C2×C4C22×D4×C7111yescharacteristic
1667C2×C4C22×D4×C7111yescharacteristic
1668C2×C4C22×D4×C7111yescharacteristic
1669C2×C4C22×D4×C7111yescharacteristic
1670C2×C4C22×D4×C7111yescharacteristic
1671C2×C4C22×D4×C7111yescharacteristic
1672C2×C4C25×C7111yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8—21no—
1680C8—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—21no—
1689C22—21no—
1690C22—22no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—162no—
1703C22C23×D4×C7111yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4C2×H(5,𝔽2)×C7111yescharacteristic
1728C4#585×C7111yescharacteristic
1729C2—41no—
1730C2—41no—
1731C2—41no—
1732C2—42no—
1733C2—81no—
1734C2—81no—
1735C2—81no—
1736C2C71×#348811yescharacteristic
1737C2C71×#358411yescharacteristic
1738C2C71×#358611yescharacteristic
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×#3562C2semidirect
2. C71×#3515C2semidirect
3. C71×#3400C2semidirect
4. C71×#3398C2semidirect
5. C71×#3376C2semidirect
6. C71×#3370C2semidirect
7. C71×#3317C2semidirect
8. C71×#3316C2semidirect
9. C71×#3315C2semidirect
10. C71×#3314C2semidirect
11. C71×#3300C2semidirect
12. C71×#3296C2semidirect
13. C71×#3284C2semidirect
14. C71×#3283C2semidirect
15. C71×#3269C2semidirect
16. C71×#3269C2semidirect
17. C71×#3267C2semidirect
18. C71×#3267C2semidirect
19. C71×#3261C2semidirect
20. C71×#3260C2semidirect
21. C71×#3248C2semidirect
22. C71×#3223C2semidirect
23. C71×#3222C2semidirect
24. C71×#3216C2semidirect
25. C71×#3120C2semidirect
26. C71×#3119C2semidirect
27. C71×#3111C2semidirect
28. C71×#3046C2semidirect
29. C71×#3045C2semidirect
30. C71×#3035C2semidirect
31. C71×#2992C2semidirect
32. C2×#137×C71C22semidirect
37. C2×#135×C71C22semidirect
41. #557×C71C22semidirect
44. #554×C71C22semidirect
51. #552×C71C22semidirect
59. #547×C71C22semidirect
64. #541×C71C22semidirect
74. #533×C71C22semidirect
81. #520×C71C22semidirect
82. C4×#41×C71C22semidirect
86. #497×C71C22semidirect
87. #494×C71C22semidirect
89. #491×C71C22semidirect
92. #489×C71C22semidirect
95. #485×C71C22semidirect
99. #481×C71C22semidirect
101. #479×C71C22semidirect
102. #479×C71C22semidirect
103. #479×C71C22semidirect
104. #479×C71C22semidirect
105. #479×C71C22semidirect
107. #478×C71C22semidirect
108. #478×C71C22semidirect
109. #475×C71C22semidirect
114. #468×C71C22semidirect
117. #467×C71C22semidirect
118. #467×C71C22semidirect
122. #465×C71C22semidirect
129. #464×C71C22semidirect
134. #463×C71C22semidirect
135. #462×C71C22semidirect
136. #462×C71C22semidirect
137. #462×C71C22semidirect
138. #462×C71C22semidirect
139. #462×C71C22semidirect
140. #462×C71C22semidirect
141. #462×C71C22semidirect
144. #461×C71C22semidirect
145. #461×C71C22semidirect
146. #461×C71C22semidirect
161. #452×C71C22semidirect
162. #452×C71C22semidirect
163. #452×C71C22semidirect
164. #451×C71C22semidirect
165. #451×C71C22semidirect
170. #449×C71C22semidirect
171. #446×C71C22semidirect
172. #446×C71C22semidirect
175. #441×C71C22semidirect
176. #441×C71C22semidirect
178. #440×C71C22semidirect
179. #440×C71C22semidirect
180. #440×C71C22semidirect
181. C4×Q16×C71C22semidirect
183. C4×SD16×C71C22semidirect
184. C4×D8×C71C22semidirect
188. #435×C71C22semidirect
190. C8×D4×C71C22semidirect
192. #433×C71C22semidirect
193. #432×C71C22semidirect
195. #424×C71C22semidirect
196. C2×C4⋊C8×C71C22semidirect
200. #416×C71C22semidirect
201. C2×#103×C71C22semidirect
859. #62012C71direct (N × H)
870. #3562C2×C71semidirect
871. #3515C2×C71semidirect
872. #3400C2×C71semidirect
873. #3398C2×C71semidirect
874. #3376C2×C71semidirect
875. #3370C2×C71semidirect
876. #3317C2×C71semidirect
877. #3316C2×C71semidirect
878. #3315C2×C71semidirect
879. #3314C2×C71semidirect
880. #3300C2×C71semidirect
881. #3296C2×C71semidirect
882. #3284C2×C71semidirect
883. #3283C2×C71semidirect
884. #3269C2×C71semidirect
885. #3269C2×C71semidirect
886. #3267C2×C71semidirect
887. #3267C2×C71semidirect
888. #3261C2×C71semidirect
889. #3260C2×C71semidirect
890. #3248C2×C71semidirect
891. #3223C2×C71semidirect
892. #3222C2×C71semidirect
893. #3216C2×C71semidirect
894. #3120C2×C71semidirect
895. #3119C2×C71semidirect
896. #3111C2×C71semidirect
897. #3046C2×C71semidirect
898. #3045C2×C71semidirect
899. #3035C2×C71semidirect
900. #2992C2×C71semidirect
901. C71#62012direct (N × H)
902. C2×#137C22×C71semidirect
907. C2×#135C22×C71semidirect
911. #557C22×C71semidirect
914. #554C22×C71semidirect
921. #552C22×C71semidirect
929. #547C22×C71semidirect
934. #541C22×C71semidirect
944. #533C22×C71semidirect
951. #520C22×C71semidirect
952. C4×#41C22×C71semidirect
956. #497C22×C71semidirect
957. #494C22×C71semidirect
959. #491C22×C71semidirect
962. #489C22×C71semidirect
965. #485C22×C71semidirect
969. #481C22×C71semidirect
971. #479C22×C71semidirect
972. #479C22×C71semidirect
973. #479C22×C71semidirect
974. #479C22×C71semidirect
975. #479C22×C71semidirect
977. #478C22×C71semidirect
978. #478C22×C71semidirect
979. #475C22×C71semidirect
984. #468C22×C71semidirect
987. #467C22×C71semidirect
988. #467C22×C71semidirect
992. #465C22×C71semidirect
999. #464C22×C71semidirect
1004. #463C22×C71semidirect
1005. #462C22×C71semidirect
1006. #462C22×C71semidirect
1007. #462C22×C71semidirect
1008. #462C22×C71semidirect
1009. #462C22×C71semidirect
1010. #462C22×C71semidirect
1011. #462C22×C71semidirect
1014. #461C22×C71semidirect
1015. #461C22×C71semidirect
1016. #461C22×C71semidirect
1031. #452C22×C71semidirect
1032. #452C22×C71semidirect
1033. #452C22×C71semidirect
1034. #451C22×C71semidirect
1035. #451C22×C71semidirect
1040. #449C22×C71semidirect
1041. #446C22×C71semidirect
1042. #446C22×C71semidirect
1045. #441C22×C71semidirect
1046. #441C22×C71semidirect
1048. #440C22×C71semidirect
1049. #440C22×C71semidirect
1050. #440C22×C71semidirect
1051. C4×Q16C22×C71semidirect
1053. C4×SD16C22×C71semidirect
1054. C4×D8C22×C71semidirect
1058. #435C22×C71semidirect
1060. C8×D4C22×C71semidirect
1062. #433C22×C71semidirect
1063. #432C22×C71semidirect
1065. #424C22×C71semidirect
1066. C2×C4⋊C8C22×C71semidirect
1070. #416C22×C71semidirect
1071. C2×#103C22×C71semidirect

Maximal subgroups

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

subgroupindex
C71×#35622
C71×#35152
C71×#34002
C71×#33982
C71×#33762
C71×#33702
C71×#33172
C71×#33162
C71×#33152
C71×#33142
C71×#33002
C71×#32962
C71×#32842
C71×#32832
C71×#32692
C71×#32672
C71×#32612
C71×#32602
C71×#32482
C71×#32232
C71×#32222
C71×#32162
C71×#31202
C71×#31192
C71×#31112
C71×#30462
C71×#30452
C71×#30352
C71×#29922
#6201271