Finite Group Databasebeta

← C71×#62048 #31882920

Subgroups — C71×#62048 #31882920

Order 18176.

1796 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C71×#3561C211yesmaximal, characteristic, complemented
2C71×#3521C211yesmaximal, characteristic, complemented
3C71×#3402C211yesmaximal, characteristic, complemented
4C71×#3393C211yesmaximal, characteristic, complemented
5C71×#3376C211yesmaximal, characteristic, complemented
6C71×#3360C211yesmaximal, characteristic, complemented
7C71×#3328C211yesmaximal, characteristic, complemented
8C71×#3327C211yesmaximal, characteristic, complemented
9C71×#3322C211yesmaximal, characteristic, complemented
10C71×#3320C211yesmaximal, characteristic, complemented
11C71×#3311C211yesmaximal, characteristic, complemented
12C71×#3300C211yesmaximal, characteristic, complemented
13C71×#3282C211yesmaximal, characteristic, complemented
14C71×#3276C211yesmaximal, characteristic, complemented
15C71×#3275C211yesmaximal, characteristic, complemented
16C71×#3273C211yesmaximal, characteristic, complemented
17C71×#3267C211yesmaximal, characteristic, complemented
18C71×#3266C211yesmaximal, characteristic, complemented
19C71×#3263C211yesmaximal, characteristic, complemented
20C71×#3258C211yesmaximal, characteristic, complemented
21C71×#3252C211yesmaximal, characteristic, complemented
22C71×#3225C211yesmaximal, characteristic, complemented
23C71×#3223C211yesmaximal, characteristic, complemented
24C71×#3211C211yesmaximal, characteristic, complemented
25C71×#3124C211yesmaximal, characteristic, complemented
26C71×#3118C211yesmaximal, characteristic, complemented
27C71×#3107C211yesmaximal, characteristic, complemented
28C71×#3046C211yesmaximal, characteristic, complemented
29C71×#3042C211yesmaximal, characteristic, complemented
30C71×#3040C211yesmaximal, characteristic, complemented
31C71×#2993C211yesmaximal, characteristic, complemented
32C2×#137×C71C2211yescharacteristic
33C2×#137×C71C2211yescharacteristic, complemented
34C2×AGL(1,ℤ/8)×C71C2211yescharacteristic
35C2×AGL(1,ℤ/8)×C71C2211yescharacteristic
36C2×#135×C71C2211yescharacteristic
37C22×SD16×C71C2211yescharacteristic, complemented
38#563×C71—21no—
39#562×C71—21no—
40#556×C71C2211yescharacteristic
41#556×C71C2211yescharacteristic, complemented
42#556×C71C2211yescharacteristic, complemented
43#556×C71C2211yescharacteristic, complemented
44#554×C71C2211yescharacteristic, complemented
45#553×C71—21no—
46#553×C71C2211yescharacteristic
47#552×C71—21no—
48#552×C71C2211yescharacteristic, complemented
49#551×C71—21no—
50#551×C71—21no—
51#551×C71—21no—
52#551×C71—21no—
53D4×Q8×C71C2211yescharacteristic
54D4×Q8×C71C2211yescharacteristic, complemented
55#548×C71C2211yescharacteristic
56#548×C71C2211yescharacteristic
57#547×C71C2211yescharacteristic
58#546×C71C2211yescharacteristic
59#546×C71C2211yescharacteristic
60#546×C71C2211yescharacteristic, complemented
61#546×C71C2211yescharacteristic, complemented
62#543×C71—21no—
63#542×C71—21no—
64#542×C71—21no—
65#542×C71C2211yescharacteristic
66#542×C71C2211yescharacteristic, complemented
67#542×C71C2211yescharacteristic, complemented
68#541×C71C2211yescharacteristic, complemented
69#539×C71—21no—
70#538×C71—21no—
71#538×C71—21no—
72#536×C71C2211yescharacteristic
73#536×C71C2211yescharacteristic, complemented
74#533×C71C2211yescharacteristic, complemented
75#529×C71—21no—
76#529×C71C2211yescharacteristic
77#529×C71C2211yescharacteristic
78C2×#126×C71—21no—
79C2×#124×C71C2211yescharacteristic, complemented
80#520×C71C2211yescharacteristic, complemented
81#518×C71C2211yescharacteristic, complemented
82C4×#41×C71C2211yescharacteristic
83#497×C71C2211yescharacteristic, complemented
84#497×C71C2211yescharacteristic, complemented
85#495×C71C2211yescharacteristic
86#495×C71C2211yescharacteristic
87#495×C71C2211yescharacteristic
88#494×C71C2211yescharacteristic, complemented
89#491×C71C2211yescharacteristic, complemented
90#489×C71C2211yescharacteristic, complemented
91#488×C71C2211yescharacteristic, complemented
92#488×C71C2211yescharacteristic, complemented
93#488×C71C2211yescharacteristic, complemented
94#487×C71C2211yescharacteristic, complemented
95#485×C71C2211yescharacteristic, complemented
96#485×C71C2211yescharacteristic, complemented
97#485×C71C2211yescharacteristic, complemented
98#484×C71C2211yescharacteristic, complemented
99#482×C71C2211yescharacteristic
100#480×C71C2211yescharacteristic, complemented
101#479×C71C2211yescharacteristic, complemented
102#479×C71C2211yescharacteristic, complemented
103#479×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#470×C71C2211yescharacteristic, complemented
114#470×C71C2211yescharacteristic, complemented
115#469×C71C2211yescharacteristic
116#468×C71C2211yescharacteristic
117#468×C71C2211yescharacteristic
118#468×C71C2211yescharacteristic
119#467×C71C2211yescharacteristic, complemented
120#465×C71C2211yescharacteristic
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#464×C71C2211yescharacteristic, complemented
130#464×C71C2211yescharacteristic, complemented
131#464×C71C2211yescharacteristic, complemented
132#464×C71C2211yescharacteristic, complemented
133#463×C71C2211yescharacteristic
134#463×C71C2211yescharacteristic
135#463×C71C2211yescharacteristic
136#463×C71C2211yescharacteristic
137#463×C71C2211yescharacteristic
138#463×C71C2211yescharacteristic
139#463×C71C2211yescharacteristic
140#463×C71C2211yescharacteristic
141#463×C71C2211yescharacteristic
142#463×C71C2211yescharacteristic
143#462×C71C2211yescharacteristic, complemented
144#462×C71C2211yescharacteristic, complemented
145#462×C71C2211yescharacteristic, complemented
146#462×C71C2211yescharacteristic, complemented
147#461×C71C2211yescharacteristic, complemented
148#461×C71C2211yescharacteristic, complemented
149#461×C71C2211yescharacteristic, complemented
150#461×C71C2211yescharacteristic, complemented
151#461×C71C2211yescharacteristic, complemented
152#461×C71C2211yescharacteristic, complemented
153#452×C71C2211yescharacteristic
154#452×C71C2211yescharacteristic
155#452×C71C2211yescharacteristic
156#452×C71C2211yescharacteristic
157#452×C71C2211yescharacteristic, complemented
158#452×C71C2211yescharacteristic, complemented
159#451×C71C2211yescharacteristic, complemented
160#451×C71C2211yescharacteristic, complemented
161#451×C71C2211yescharacteristic, complemented
162#451×C71C2211yescharacteristic, complemented
163#450×C71C2211yescharacteristic, complemented
164#450×C71C2211yescharacteristic, complemented
165#449×C71C2211yescharacteristic
166#449×C71C2211yescharacteristic
167#448×C71C2211yescharacteristic
168#448×C71C2211yescharacteristic, complemented
169#447×C71C2211yescharacteristic
170#447×C71C2211yescharacteristic
171#446×C71C2211yescharacteristic, complemented
172C8×Q8×C71C2211yescharacteristic, complemented
173#442×C71C2211yescharacteristic
174#440×C71C2211yescharacteristic, complemented
175#440×C71C2211yescharacteristic, complemented
176#440×C71C2211yescharacteristic, complemented
177C4×Q16×C71C2211yescharacteristic, complemented
178C4×Q16×C71C2211yescharacteristic, complemented
179C4×Q16×C71C2211yescharacteristic, complemented
180C4×SD16×C71C2211yescharacteristic, complemented
181C4×SD16×C71C2211yescharacteristic, complemented
182C4×SD16×C71C2211yescharacteristic, complemented
183C4×D8×C71C2211yescharacteristic
184C4×D8×C71C2211yescharacteristic
185#436×C71C2211yescharacteristic
186#436×C71C2211yescharacteristic, complemented
187#436×C71C2211yescharacteristic, complemented
188#435×C71C2211yescharacteristic
189#435×C71C2211yescharacteristic, complemented
190C8×D4×C71C2211yescharacteristic, complemented
191#433×C71C2211yescharacteristic, complemented
192#433×C71C2211yescharacteristic, complemented
193#431×C71C2211yescharacteristic, complemented
194#424×C71C2211yescharacteristic, complemented
195#424×C71C2211yescharacteristic, complemented
196#423×C71C2211yescharacteristic, complemented
197#419×C71C2211yescharacteristic, complemented
198#419×C71C2211yescharacteristic, complemented
199#418×C71C2211yescharacteristic, complemented
200#417×C71C2211yescharacteristic, complemented
201#416×C71C2211yescharacteristic
202C2×#103×C71C2211yescharacteristic, complemented
203C2×#41×C71C2311yescharacteristic
204C2×#41×C71C2311yescharacteristic
205C2×#41×C71C2311yescharacteristic
206C2×#41×C71C2311yescharacteristic
207C22×Q8×C71C2311yescharacteristic
208C22×Q8×C71C2311yescharacteristic
209C22×Q8×C71C2311yescharacteristic
210C22×D4×C71C2311yescharacteristic
211C22×D4×C71C2311yescharacteristic
212#137×C71—42no—
213#137×C71—42no—
214AGL(1,ℤ/8)×C71—42no—
215AGL(1,ℤ/8)×C71—42no—
216#135×C71—42no—
217C2×Q16×C71C2311yescharacteristic
218C2×Q16×C71C2311yescharacteristic
219C2×Q16×C71C2311yescharacteristic
220C2×Q16×C71C2311yescharacteristic
221C2×Q16×C71C2311yescharacteristic
222C2×Q16×C71C2311yescharacteristic
223C2×Q16×C71C2311yescharacteristic
224C2×Q16×C71C2311yescharacteristic
225C2×SD16×C71—42no—
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×SD16×C71C2311yescharacteristic
237C2×SD16×C71C2311yescharacteristic
238C2×D8×C71C2311yescharacteristic
239C2×D8×C71C2311yescharacteristic
240C2×D8×C71C2311yescharacteristic
241C2×D8×C71C2311yescharacteristic
242C2×M16×C71C2311yescharacteristic
243C2×M16×C71C2311yescharacteristic
244C2×M16×C71C2311yescharacteristic
245C2×M16×C71C2311yescharacteristic
246C22×C8×C71C2311yescharacteristic
247C22×C8×C71C2311yescharacteristic
248C4⋊Q8×C71—21no—
249C4⋊Q8×C71—21no—
250C4⋊Q8×C71C2311yescharacteristic
251C4⋊Q8×C71C2311yescharacteristic
252C4⋊Q8×C71C2311yescharacteristic
253C4⋊Q8×C71C2311yescharacteristic
254C4⋊Q8×C71C2311yescharacteristic
255C4⋊Q8×C71C2311yescharacteristic
256#126×C71—21no—
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×C71—21no—
269#126×C71—21no—
270#126×C71—21no—
271#126×C71—21no—
272#126×C71D411yescharacteristic
273#126×C71D411yescharacteristic
274#125×C71—21no—
275#125×C71—21no—
276#125×C71—21no—
277#125×C71—21no—
278#125×C71D411yescharacteristic
279#125×C71C2311yescharacteristic
280#125×C71C2311yescharacteristic
281#124×C71—21no—
282#124×C71—21no—
283#124×C71—21no—
284#124×C71—21no—
285#124×C71—21no—
286#124×C71—21no—
287#124×C71—21no—
288#124×C71—21no—
289#124×C71D411yescharacteristic
290#124×C71C2311yescharacteristic
291#124×C71C2311yescharacteristic
292#124×C71C2311yescharacteristic
293#124×C71C2311yescharacteristic
294#124×C71C2311yescharacteristic
295#124×C71C2311yescharacteristic
296#124×C71C2311yescharacteristic
297#124×C71C2311yescharacteristic
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×C71D411yescharacteristic
315#123×C71D411yescharacteristic
316C22⋊Q8×C71—21no—
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×C71—21no—
329C22⋊Q8×C71—21no—
330C22⋊Q8×C71—21no—
331C22⋊Q8×C71—21no—
332C22⋊Q8×C71—21no—
333C22⋊Q8×C71—21no—
334C22⋊Q8×C71—21no—
335C22⋊Q8×C71—21no—
336C22⋊Q8×C71D411yescharacteristic
337C22⋊Q8×C71C2311yescharacteristic
338C22⋊Q8×C71C2311yescharacteristic
339C22⋊Q8×C71C2311yescharacteristic
340C22⋊Q8×C71C2311yescharacteristic
341C22⋊Q8×C71C2311yescharacteristic
342C22⋊Q8×C71C2311yescharacteristic
343C22⋊Q8×C71C2311yescharacteristic
344C22⋊Q8×C71C2311yescharacteristic
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×C71D411yescharacteristic
354#121×C71C2311yescharacteristic
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×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×C71C2311yescharacteristic
386C4×D4×C71C2311yescharacteristic
387C4×D4×C71C2311yescharacteristic
388C4×D4×C71C2311yescharacteristic
389C4×D4×C71C2311yescharacteristic
390C4×D4×C71C2311yescharacteristic
391C4×D4×C71C2311yescharacteristic
392C4×D4×C71C2311yescharacteristic
393C4×D4×C71C2311yescharacteristic
394C4×D4×C71C2311yescharacteristic
395C4×D4×C71C2311yescharacteristic
396#117×C71—21no—
397#117×C71—21no—
398#117×C71—21no—
399#117×C71—21no—
400#117×C71—21no—
401#117×C71—21no—
402#117×C71—21no—
403#117×C71—21no—
404#117×C71C2311yescharacteristic
405#117×C71C2311yescharacteristic
406#117×C71C2311yescharacteristic
407#117×C71C2311yescharacteristic
408C2×C4⋊C4×C71—21no—
409C2×C4⋊C4×C71—21no—
410C2×C4⋊C4×C71—21no—
411C2×C4⋊C4×C71C2311yescharacteristic
412C2×C22⋊C4×C71—21no—
413C2×C22⋊C4×C71—21no—
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#103×C71C2311yescharacteristic
453#103×C71C2311yescharacteristic
454#103×C71C2311yescharacteristic
455#103×C71C2311yescharacteristic
456#103×C71C2311yescharacteristic
457#103×C71C2311yescharacteristic
458#103×C71C2311yescharacteristic
459#103×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
480C4×C8×C71C2311yescharacteristic
481C4×C8×C71C2311yescharacteristic
482C4×C8×C71C2311yescharacteristic
483C4×C8×C71C2311yescharacteristic
484C24×C71—21no—
485C24×C71—21no—
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—
494C2×Q8×C71—21no—
495C2×Q8×C71—21no—
496C2×Q8×C71—21no—
497C2×Q8×C71—21no—
498C2×Q8×C71—21no—
499C2×Q8×C71—41no—
500C2×Q8×C71—41no—
501C2×Q8×C71—41no—
502C2×Q8×C71—41no—
503C2×Q8×C71—41no—
504C2×Q8×C71—41no—
505C2×Q8×C71C2×D411yescharacteristic
506C2×Q8×C71C2411yescharacteristic
507C2×Q8×C71C2411yescharacteristic
508C2×Q8×C71C2411yescharacteristic
509C2×Q8×C71C2411yescharacteristic
510C2×Q8×C71C2411yescharacteristic
511C2×Q8×C71C2411yescharacteristic
512C2×D4×C71—22no—
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—41no—
524C2×D4×C71—41no—
525C2×D4×C71—41no—
526C2×D4×C71C2×D411yescharacteristic
527C2×D4×C71C2×D411yescharacteristic
528C2×D4×C71C2×D411yescharacteristic
529C2×D4×C71C2411yescharacteristic
530C2×D4×C71C2411yescharacteristic
531C2×D4×C71C2411yescharacteristic
532C2×D4×C71C2411yescharacteristic
533C22×C4×C71—21no—
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×C71C2×D411yescharacteristic
550C22×C4×C71C2×D411yescharacteristic
551C22×C4×C71C2411yescharacteristic
552C22×C4×C71C2411yescharacteristic
553C22×C4×C71C2411yescharacteristic
554Q16×C71—41no—
555Q16×C71—41no—
556Q16×C71—41no—
557Q16×C71—41no—
558Q16×C71—41no—
559Q16×C71—41no—
560Q16×C71—41no—
561Q16×C71—41no—
562SD16×C71—22no—
563SD16×C71—22no—
564SD16×C71—22no—
565SD16×C71—22no—
566SD16×C71—41no—
567SD16×C71—41no—
568SD16×C71—41no—
569SD16×C71—41no—
570SD16×C71—41no—
571SD16×C71—41no—
572SD16×C71—41no—
573SD16×C71—41no—
574D8×C71—22no—
575D8×C71—22no—
576D8×C71—41no—
577D8×C71—41no—
578M16×C71—41no—
579M16×C71—41no—
580M16×C71—41no—
581M16×C71—41no—
582C2×C8×C71—41no—
583C2×C8×C71—41no—
584C2×C8×C71C2411yescharacteristic
585C2×C8×C71C2411yescharacteristic
586C2×C8×C71C2411yescharacteristic
587C2×C8×C71C2411yescharacteristic
588C2×C8×C71C2411yescharacteristic
589C2×C8×C71C2411yescharacteristic
590C2×C8×C71C2411yescharacteristic
591C2×C8×C71C2411yescharacteristic
592C4⋊C4×C71—21no—
593C4⋊C4×C71—21no—
594C4⋊C4×C71—21no—
595C4⋊C4×C71—21no—
596C4⋊C4×C71—21no—
597C4⋊C4×C71—21no—
598C4⋊C4×C71—21no—
599C4⋊C4×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×C71C2×D411yescharacteristic
624C4⋊C4×C71C2×D411yescharacteristic
625C4⋊C4×C71C2×D411yescharacteristic
626C4⋊C4×C71C2×D411yescharacteristic
627C4⋊C4×C71C2×D411yescharacteristic
628C4⋊C4×C71C2×D411yescharacteristic
629C4⋊C4×C71C2×D411yescharacteristic
630C4⋊C4×C71C2×D411yescharacteristic
631C4⋊C4×C71C2×D411yescharacteristic
632C4⋊C4×C71C2×D411yescharacteristic
633C4⋊C4×C71C2411yescharacteristic
634C4⋊C4×C71C2411yescharacteristic
635C4⋊C4×C71C2411yescharacteristic
636C4⋊C4×C71C2411yescharacteristic
637C4⋊C4×C71C2411yescharacteristic
638C4⋊C4×C71C2411yescharacteristic
639C22⋊C4×C71—21no—
640C22⋊C4×C71—21no—
641C22⋊C4×C71—21no—
642C22⋊C4×C71—21no—
643C22⋊C4×C71—21no—
644C22⋊C4×C71—21no—
645C22⋊C4×C71—21no—
646C22⋊C4×C71—21no—
647C22⋊C4×C71—21no—
648C22⋊C4×C71—21no—
649C22⋊C4×C71—21no—
650C22⋊C4×C71—21no—
651C22⋊C4×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—42no—
708C23×C71—42no—
709C23×C71—81no—
710C23×C71—81no—
711C23×C71—81no—
712C23×C71—81no—
713C23×C71C22×D411yescharacteristic
714C23×C71C22×D411yescharacteristic
715C23×C71C22×D411yescharacteristic
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—21no—
726Q8×C71—21no—
727Q8×C71—21no—
728Q8×C71—41no—
729Q8×C71—81no—
730Q8×C71—81no—
731Q8×C71—81no—
732Q8×C71—81no—
733Q8×C71—81no—
734D4×C71—21no—
735D4×C71—21no—
736D4×C71—21no—
737D4×C71—21no—
738D4×C71—21no—
739D4×C71—21no—
740D4×C71—21no—
741D4×C71—41no—
742D4×C71—41no—
743D4×C71—41no—
744D4×C71—42no—
745D4×C71—42no—
746D4×C71—42no—
747D4×C71—81no—
748D4×C71—81no—
749D4×C71—81no—
750D4×C71—81no—
751D4×C71—81no—
752D4×C71—81no—
753D4×C71—81no—
754D4×C71H(5,𝔽2)12yes—
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—21no—
773C2×C4×C71—41no—
774C2×C4×C71—41no—
775C2×C4×C71—42no—
776C2×C4×C71—42no—
777C2×C4×C71—81no—
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×C71—162no—
834C22×C71C23×D411yescharacteristic
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—21no—
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×C71—41no—
858C4×C71C2×H(5,𝔽2)11yescharacteristic
859C4×C71#58511yescharacteristic
860#62048C7111yesmaximal, characteristic, direct product factor, Sylow
861C2×C71—41no—
862C2×C71—41no—
863C2×C71—41no—
864C2×C71—42no—
865C2×C71—81no—
866C2×C71—81no—
867C2×C71—81no—
868C2×C71#348811yescharacteristic
869C2×C71#358411yescharacteristic
870C2×C71#358611yescharacteristic
871#3561C2×C7111yescharacteristic, complemented
872#3521C2×C7111yescharacteristic, complemented
873#3402C2×C7111yescharacteristic, complemented
874#3393C2×C7111yescharacteristic, complemented
875#3376C2×C7111yescharacteristic, complemented
876#3360C2×C7111yescharacteristic, complemented
877#3328C2×C7111yescharacteristic, complemented
878#3327C2×C7111yescharacteristic, complemented
879#3322C2×C7111yescharacteristic, complemented
880#3320C2×C7111yescharacteristic, complemented
881#3311C2×C7111yescharacteristic, complemented
882#3300C2×C7111yescharacteristic, complemented
883#3282C2×C7111yescharacteristic, complemented
884#3276C2×C7111yescharacteristic, complemented
885#3275C2×C7111yescharacteristic, complemented
886#3273C2×C7111yescharacteristic, complemented
887#3267C2×C7111yescharacteristic, complemented
888#3266C2×C7111yescharacteristic, complemented
889#3263C2×C7111yescharacteristic, complemented
890#3258C2×C7111yescharacteristic, complemented
891#3252C2×C7111yescharacteristic, complemented
892#3225C2×C7111yescharacteristic, complemented
893#3223C2×C7111yescharacteristic, complemented
894#3211C2×C7111yescharacteristic, complemented
895#3124C2×C7111yescharacteristic, complemented
896#3118C2×C7111yescharacteristic, complemented
897#3107C2×C7111yescharacteristic, complemented
898#3046C2×C7111yescharacteristic, complemented
899#3042C2×C7111yescharacteristic, complemented
900#3040C2×C7111yescharacteristic, complemented
901#2993C2×C7111yescharacteristic, complemented
902C71#6204811yescharacteristic, direct product factor, Sylow
903C2×#137C22×C7111yescharacteristic
904C2×#137C22×C7111yescharacteristic, complemented
905C2×AGL(1,ℤ/8)C22×C7111yescharacteristic
906C2×AGL(1,ℤ/8)C22×C7111yescharacteristic
907C2×#135C22×C7111yescharacteristic
908C22×SD16C22×C7111yescharacteristic, complemented
909#563—21no—
910#562—21no—
911#556C22×C7111yescharacteristic
912#556C22×C7111yescharacteristic, complemented
913#556C22×C7111yescharacteristic, complemented
914#556C22×C7111yescharacteristic, complemented
915#554C22×C7111yescharacteristic, complemented
916#553—21no—
917#553C22×C7111yescharacteristic
918#552—21no—
919#552C22×C7111yescharacteristic, complemented
920#551—21no—
921#551—21no—
922#551—21no—
923#551—21no—
924D4×Q8C22×C7111yescharacteristic
925D4×Q8C22×C7111yescharacteristic, complemented
926#548C22×C7111yescharacteristic
927#548C22×C7111yescharacteristic
928#547C22×C7111yescharacteristic
929#546C22×C7111yescharacteristic
930#546C22×C7111yescharacteristic
931#546C22×C7111yescharacteristic, complemented
932#546C22×C7111yescharacteristic, complemented
933#543—21no—
934#542—21no—
935#542—21no—
936#542C22×C7111yescharacteristic
937#542C22×C7111yescharacteristic, complemented
938#542C22×C7111yescharacteristic, complemented
939#541C22×C7111yescharacteristic, complemented
940#539—21no—
941#538—21no—
942#538—21no—
943#536C22×C7111yescharacteristic
944#536C22×C7111yescharacteristic, complemented
945#533C22×C7111yescharacteristic, complemented
946#529—21no—
947#529C22×C7111yescharacteristic
948#529C22×C7111yescharacteristic
949C2×#126—21no—
950C2×#124C22×C7111yescharacteristic, complemented
951#520C22×C7111yescharacteristic, complemented
952#518C22×C7111yescharacteristic, complemented
953C4×#41C22×C7111yescharacteristic
954#497C22×C7111yescharacteristic, complemented
955#497C22×C7111yescharacteristic, complemented
956#495C22×C7111yescharacteristic
957#495C22×C7111yescharacteristic
958#495C22×C7111yescharacteristic
959#494C22×C7111yescharacteristic, complemented
960#491C22×C7111yescharacteristic, complemented
961#489C22×C7111yescharacteristic, complemented
962#488C22×C7111yescharacteristic, complemented
963#488C22×C7111yescharacteristic, complemented
964#488C22×C7111yescharacteristic, complemented
965#487C22×C7111yescharacteristic, complemented
966#485C22×C7111yescharacteristic, complemented
967#485C22×C7111yescharacteristic, complemented
968#485C22×C7111yescharacteristic, complemented
969#484C22×C7111yescharacteristic, complemented
970#482C22×C7111yescharacteristic
971#480C22×C7111yescharacteristic, complemented
972#479C22×C7111yescharacteristic, complemented
973#479C22×C7111yescharacteristic, complemented
974#479C22×C7111yescharacteristic, complemented
975#478C22×C7111yescharacteristic, complemented
976#477C22×C7111yescharacteristic, complemented
977#476C22×C7111yescharacteristic, complemented
978#476C22×C7111yescharacteristic, complemented
979#475C22×C7111yescharacteristic, complemented
980#475C22×C7111yescharacteristic, complemented
981#474C22×C7111yescharacteristic, complemented
982#470C22×C7111yescharacteristic, complemented
983#470C22×C7111yescharacteristic, complemented
984#470C22×C7111yescharacteristic, complemented
985#470C22×C7111yescharacteristic, complemented
986#469C22×C7111yescharacteristic
987#468C22×C7111yescharacteristic
988#468C22×C7111yescharacteristic
989#468C22×C7111yescharacteristic
990#467C22×C7111yescharacteristic, complemented
991#465C22×C7111yescharacteristic
992#465C22×C7111yescharacteristic, complemented
993#465C22×C7111yescharacteristic, complemented
994#464C22×C7111yescharacteristic, complemented
995#464C22×C7111yescharacteristic, complemented
996#464C22×C7111yescharacteristic, complemented
997#464C22×C7111yescharacteristic, complemented
998#464C22×C7111yescharacteristic, complemented
999#464C22×C7111yescharacteristic, complemented
1000#464C22×C7111yescharacteristic, complemented
1001#464C22×C7111yescharacteristic, complemented
1002#464C22×C7111yescharacteristic, complemented
1003#464C22×C7111yescharacteristic, complemented
1004#463C22×C7111yescharacteristic
1005#463C22×C7111yescharacteristic
1006#463C22×C7111yescharacteristic
1007#463C22×C7111yescharacteristic
1008#463C22×C7111yescharacteristic
1009#463C22×C7111yescharacteristic
1010#463C22×C7111yescharacteristic
1011#463C22×C7111yescharacteristic
1012#463C22×C7111yescharacteristic
1013#463C22×C7111yescharacteristic
1014#462C22×C7111yescharacteristic, complemented
1015#462C22×C7111yescharacteristic, complemented
1016#462C22×C7111yescharacteristic, complemented
1017#462C22×C7111yescharacteristic, complemented
1018#461C22×C7111yescharacteristic, complemented
1019#461C22×C7111yescharacteristic, complemented
1020#461C22×C7111yescharacteristic, complemented
1021#461C22×C7111yescharacteristic, complemented
1022#461C22×C7111yescharacteristic, complemented
1023#461C22×C7111yescharacteristic, complemented
1024#452C22×C7111yescharacteristic
1025#452C22×C7111yescharacteristic
1026#452C22×C7111yescharacteristic
1027#452C22×C7111yescharacteristic
1028#452C22×C7111yescharacteristic, complemented
1029#452C22×C7111yescharacteristic, complemented
1030#451C22×C7111yescharacteristic, complemented
1031#451C22×C7111yescharacteristic, complemented
1032#451C22×C7111yescharacteristic, complemented
1033#451C22×C7111yescharacteristic, complemented
1034#450C22×C7111yescharacteristic, complemented
1035#450C22×C7111yescharacteristic, complemented
1036#449C22×C7111yescharacteristic
1037#449C22×C7111yescharacteristic
1038#448C22×C7111yescharacteristic
1039#448C22×C7111yescharacteristic, complemented
1040#447C22×C7111yescharacteristic
1041#447C22×C7111yescharacteristic
1042#446C22×C7111yescharacteristic, complemented
1043C8×Q8C22×C7111yescharacteristic, complemented
1044#442C22×C7111yescharacteristic
1045#440C22×C7111yescharacteristic, complemented
1046#440C22×C7111yescharacteristic, complemented
1047#440C22×C7111yescharacteristic, complemented
1048C4×Q16C22×C7111yescharacteristic, complemented
1049C4×Q16C22×C7111yescharacteristic, complemented
1050C4×Q16C22×C7111yescharacteristic, complemented
1051C4×SD16C22×C7111yescharacteristic, complemented
1052C4×SD16C22×C7111yescharacteristic, complemented
1053C4×SD16C22×C7111yescharacteristic, complemented
1054C4×D8C22×C7111yescharacteristic
1055C4×D8C22×C7111yescharacteristic
1056#436C22×C7111yescharacteristic
1057#436C22×C7111yescharacteristic, complemented
1058#436C22×C7111yescharacteristic, complemented
1059#435C22×C7111yescharacteristic
1060#435C22×C7111yescharacteristic, complemented
1061C8×D4C22×C7111yescharacteristic, complemented
1062#433C22×C7111yescharacteristic, complemented
1063#433C22×C7111yescharacteristic, complemented
1064#431C22×C7111yescharacteristic, complemented
1065#424C22×C7111yescharacteristic, complemented
1066#424C22×C7111yescharacteristic, complemented
1067#423C22×C7111yescharacteristic, complemented
1068#419C22×C7111yescharacteristic, complemented
1069#419C22×C7111yescharacteristic, complemented
1070#418C22×C7111yescharacteristic, complemented
1071#417C22×C7111yescharacteristic, complemented
1072#416C22×C7111yescharacteristic
1073C2×#103C22×C7111yescharacteristic, complemented
1074C2×#41C23×C7111yescharacteristic
1075C2×#41C23×C7111yescharacteristic
1076C2×#41C23×C7111yescharacteristic
1077C2×#41C23×C7111yescharacteristic
1078C22×Q8C23×C7111yescharacteristic
1079C22×Q8C23×C7111yescharacteristic
1080C22×Q8C23×C7111yescharacteristic
1081C22×D4C23×C7111yescharacteristic
1082C22×D4C23×C7111yescharacteristic
1083#137—42no—
1084#137—42no—
1085AGL(1,ℤ/8)—42no—
1086AGL(1,ℤ/8)—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×SD16—42no—
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×D8C23×C7111yescharacteristic
1113C2×M16C23×C7111yescharacteristic
1114C2×M16C23×C7111yescharacteristic
1115C2×M16C23×C7111yescharacteristic
1116C2×M16C23×C7111yescharacteristic
1117C22×C8C23×C7111yescharacteristic
1118C22×C8C23×C7111yescharacteristic
1119C4⋊Q8—21no—
1120C4⋊Q8—21no—
1121C4⋊Q8C23×C7111yescharacteristic
1122C4⋊Q8C23×C7111yescharacteristic
1123C4⋊Q8C23×C7111yescharacteristic
1124C4⋊Q8C23×C7111yescharacteristic
1125C4⋊Q8C23×C7111yescharacteristic
1126C4⋊Q8C23×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#126—21no—
1139#126—21no—
1140#126—21no—
1141#126—21no—
1142#126—21no—
1143#126D4×C7111yescharacteristic
1144#126D4×C7111yescharacteristic
1145#125—21no—
1146#125—21no—
1147#125—21no—
1148#125—21no—
1149#125D4×C7111yescharacteristic
1150#125C23×C7111yescharacteristic
1151#125C23×C7111yescharacteristic
1152#124—21no—
1153#124—21no—
1154#124—21no—
1155#124—21no—
1156#124—21no—
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#124C23×C7111yescharacteristic
1167#124C23×C7111yescharacteristic
1168#124C23×C7111yescharacteristic
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⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8D4×C7111yescharacteristic
1208C22⋊Q8C23×C7111yescharacteristic
1209C22⋊Q8C23×C7111yescharacteristic
1210C22⋊Q8C23×C7111yescharacteristic
1211C22⋊Q8C23×C7111yescharacteristic
1212C22⋊Q8C23×C7111yescharacteristic
1213C22⋊Q8C23×C7111yescharacteristic
1214C22⋊Q8C23×C7111yescharacteristic
1215C22⋊Q8C23×C7111yescharacteristic
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#121C23×C7111yescharacteristic
1229#120—21no—
1230#120—21no—
1231#120—21no—
1232#120—21no—
1233C4×Q8—21no—
1234C4×Q8—21no—
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×D4C23×C7111yescharacteristic
1257C4×D4C23×C7111yescharacteristic
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
1267#117—21no—
1268#117—21no—
1269#117—21no—
1270#117—21no—
1271#117—21no—
1272#117—21no—
1273#117—21no—
1274#117—21no—
1275#117C23×C7111yescharacteristic
1276#117C23×C7111yescharacteristic
1277#117C23×C7111yescharacteristic
1278#117C23×C7111yescharacteristic
1279C2×C4⋊C4—21no—
1280C2×C4⋊C4—21no—
1281C2×C4⋊C4—21no—
1282C2×C4⋊C4C23×C7111yescharacteristic
1283C2×C22⋊C4—21no—
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—21no—
1286C2×C22⋊C4—21no—
1287C2×C22⋊C4—21no—
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—21no—
1290C2×C22⋊C4—21no—
1291C2×C42—21no—
1292C2×C42C23×C7111yescharacteristic
1293#107C23×C7111yescharacteristic
1294#107C23×C7111yescharacteristic
1295#107C23×C7111yescharacteristic
1296#107C23×C7111yescharacteristic
1297#106C23×C7111yescharacteristic
1298#106C23×C7111yescharacteristic
1299#106C23×C7111yescharacteristic
1300#106C23×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
1310C4⋊C8C23×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#103C23×C7111yescharacteristic
1329#103C23×C7111yescharacteristic
1330#103C23×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
1342#102C23×C7111yescharacteristic
1343C22⋊C8C23×C7111yescharacteristic
1344C22⋊C8C23×C7111yescharacteristic
1345C22⋊C8C23×C7111yescharacteristic
1346C22⋊C8C23×C7111yescharacteristic
1347C22⋊C8C23×C7111yescharacteristic
1348C22⋊C8C23×C7111yescharacteristic
1349#97C23×C7111yescharacteristic
1350#97C23×C7111yescharacteristic
1351C4×C8C23×C7111yescharacteristic
1352C4×C8C23×C7111yescharacteristic
1353C4×C8C23×C7111yescharacteristic
1354C4×C8C23×C7111yescharacteristic
1355C24—21no—
1356C24—21no—
1357#41—22no—
1358#41—22no—
1359#41—41no—
1360#41—41no—
1361#41—41no—
1362#41—41no—
1363#41—41no—
1364#41—41no—
1365C2×Q8—21no—
1366C2×Q8—21no—
1367C2×Q8—21no—
1368C2×Q8—21no—
1369C2×Q8—21no—
1370C2×Q8—41no—
1371C2×Q8—41no—
1372C2×Q8—41no—
1373C2×Q8—41no—
1374C2×Q8—41no—
1375C2×Q8—41no—
1376C2×Q8C2×D4×C7111yescharacteristic
1377C2×Q8C24×C7111yescharacteristic
1378C2×Q8C24×C7111yescharacteristic
1379C2×Q8C24×C7111yescharacteristic
1380C2×Q8C24×C7111yescharacteristic
1381C2×Q8C24×C7111yescharacteristic
1382C2×Q8C24×C7111yescharacteristic
1383C2×D4—22no—
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—41no—
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×C4C2×D4×C7111yescharacteristic
1421C22×C4C2×D4×C7111yescharacteristic
1422C22×C4C24×C7111yescharacteristic
1423C22×C4C24×C7111yescharacteristic
1424C22×C4C24×C7111yescharacteristic
1425Q16—41no—
1426Q16—41no—
1427Q16—41no—
1428Q16—41no—
1429Q16—41no—
1430Q16—41no—
1431Q16—41no—
1432Q16—41no—
1433SD16—22no—
1434SD16—22no—
1435SD16—22no—
1436SD16—22no—
1437SD16—41no—
1438SD16—41no—
1439SD16—41no—
1440SD16—41no—
1441SD16—41no—
1442SD16—41no—
1443SD16—41no—
1444SD16—41no—
1445D8—22no—
1446D8—22no—
1447D8—41no—
1448D8—41no—
1449M16—41no—
1450M16—41no—
1451M16—41no—
1452M16—41no—
1453C2×C8—41no—
1454C2×C8—41no—
1455C2×C8C24×C7111yescharacteristic
1456C2×C8C24×C7111yescharacteristic
1457C2×C8C24×C7111yescharacteristic
1458C2×C8C24×C7111yescharacteristic
1459C2×C8C24×C7111yescharacteristic
1460C2×C8C24×C7111yescharacteristic
1461C2×C8C24×C7111yescharacteristic
1462C2×C8C24×C7111yescharacteristic
1463C4⋊C4—21no—
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⋊C4C2×D4×C7111yescharacteristic
1495C4⋊C4C2×D4×C7111yescharacteristic
1496C4⋊C4C2×D4×C7111yescharacteristic
1497C4⋊C4C2×D4×C7111yescharacteristic
1498C4⋊C4C2×D4×C7111yescharacteristic
1499C4⋊C4C2×D4×C7111yescharacteristic
1500C4⋊C4C2×D4×C7111yescharacteristic
1501C4⋊C4C2×D4×C7111yescharacteristic
1502C4⋊C4C2×D4×C7111yescharacteristic
1503C4⋊C4C2×D4×C7111yescharacteristic
1504C4⋊C4C24×C7111yescharacteristic
1505C4⋊C4C24×C7111yescharacteristic
1506C4⋊C4C24×C7111yescharacteristic
1507C4⋊C4C24×C7111yescharacteristic
1508C4⋊C4C24×C7111yescharacteristic
1509C4⋊C4C24×C7111yescharacteristic
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
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⋊C4—21no—
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
1557C22⋊C4C2×D4×C7111yescharacteristic
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—21no—
1567C42—21no—
1568C42C2×D4×C7111yescharacteristic
1569C42C2×D4×C7111yescharacteristic
1570C42C24×C7111yescharacteristic
1571C42C24×C7111yescharacteristic
1572C42C24×C7111yescharacteristic
1573C42C24×C7111yescharacteristic
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—42no—
1579C23—42no—
1580C23—81no—
1581C23—81no—
1582C23—81no—
1583C23—81no—
1584C23C22×D4×C7111yescharacteristic
1585C23C22×D4×C7111yescharacteristic
1586C23C22×D4×C7111yescharacteristic
1587Q8—21no—
1588Q8—21no—
1589Q8—21no—
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—21no—
1594Q8—21no—
1595Q8—21no—
1596Q8—21no—
1597Q8—21no—
1598Q8—21no—
1599Q8—41no—
1600Q8—81no—
1601Q8—81no—
1602Q8—81no—
1603Q8—81no—
1604Q8—81no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—21no—
1609D4—21no—
1610D4—21no—
1611D4—21no—
1612D4—41no—
1613D4—41no—
1614D4—41no—
1615D4—42no—
1616D4—42no—
1617D4—42no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4H(5,𝔽2)×C7112yes—
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—21no—
1643C2×C4—21no—
1644C2×C4—41no—
1645C2×C4—41no—
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×C4—81no—
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×C4C22×D4×C7111yescharacteristic
1673C2×C4C25×C7111yescharacteristic
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8—21no—
1680C8—21no—
1681C8—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—21no—
1689C22—21no—
1690C22—21no—
1691C22—22no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—162no—
1704C22—162no—
1705C22C23×D4×C7111yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4C2×H(5,𝔽2)×C7111yescharacteristic
1730C4#585×C7111yescharacteristic
1731C2—41no—
1732C2—41no—
1733C2—41no—
1734C2—42no—
1735C2—81no—
1736C2—81no—
1737C2—81no—
1738C2C71×#348811yescharacteristic
1739C2C71×#358411yescharacteristic
1740C2C71×#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×#3561C2semidirect
2. C71×#3521C2semidirect
3. C71×#3402C2semidirect
4. C71×#3393C2semidirect
5. C71×#3376C2semidirect
6. C71×#3360C2semidirect
7. C71×#3328C2semidirect
8. C71×#3327C2semidirect
9. C71×#3322C2semidirect
10. C71×#3320C2semidirect
11. C71×#3311C2semidirect
12. C71×#3300C2semidirect
13. C71×#3282C2semidirect
14. C71×#3276C2semidirect
15. C71×#3275C2semidirect
16. C71×#3273C2semidirect
17. C71×#3267C2semidirect
18. C71×#3266C2semidirect
19. C71×#3263C2semidirect
20. C71×#3258C2semidirect
21. C71×#3252C2semidirect
22. C71×#3225C2semidirect
23. C71×#3223C2semidirect
24. C71×#3211C2semidirect
25. C71×#3124C2semidirect
26. C71×#3118C2semidirect
27. C71×#3107C2semidirect
28. C71×#3046C2semidirect
29. C71×#3042C2semidirect
30. C71×#3040C2semidirect
31. C71×#2993C2semidirect
33. C2×#137×C71C22semidirect
37. C22×SD16×C71C22semidirect
41. #556×C71C22semidirect
42. #556×C71C22semidirect
43. #556×C71C22semidirect
44. #554×C71C22semidirect
48. #552×C71C22semidirect
54. D4×Q8×C71C22semidirect
60. #546×C71C22semidirect
61. #546×C71C22semidirect
66. #542×C71C22semidirect
67. #542×C71C22semidirect
68. #541×C71C22semidirect
73. #536×C71C22semidirect
74. #533×C71C22semidirect
79. C2×#124×C71C22semidirect
80. #520×C71C22semidirect
81. #518×C71C22semidirect
83. #497×C71C22semidirect
84. #497×C71C22semidirect
88. #494×C71C22semidirect
89. #491×C71C22semidirect
90. #489×C71C22semidirect
91. #488×C71C22semidirect
92. #488×C71C22semidirect
93. #488×C71C22semidirect
94. #487×C71C22semidirect
95. #485×C71C22semidirect
96. #485×C71C22semidirect
97. #485×C71C22semidirect
98. #484×C71C22semidirect
100. #480×C71C22semidirect
101. #479×C71C22semidirect
102. #479×C71C22semidirect
103. #479×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
113. #470×C71C22semidirect
114. #470×C71C22semidirect
119. #467×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
129. #464×C71C22semidirect
130. #464×C71C22semidirect
131. #464×C71C22semidirect
132. #464×C71C22semidirect
143. #462×C71C22semidirect
144. #462×C71C22semidirect
145. #462×C71C22semidirect
146. #462×C71C22semidirect
147. #461×C71C22semidirect
148. #461×C71C22semidirect
149. #461×C71C22semidirect
150. #461×C71C22semidirect
151. #461×C71C22semidirect
152. #461×C71C22semidirect
157. #452×C71C22semidirect
158. #452×C71C22semidirect
159. #451×C71C22semidirect
160. #451×C71C22semidirect
161. #451×C71C22semidirect
162. #451×C71C22semidirect
163. #450×C71C22semidirect
164. #450×C71C22semidirect
168. #448×C71C22semidirect
171. #446×C71C22semidirect
172. C8×Q8×C71C22semidirect
174. #440×C71C22semidirect
175. #440×C71C22semidirect
176. #440×C71C22semidirect
177. C4×Q16×C71C22semidirect
178. C4×Q16×C71C22semidirect
179. C4×Q16×C71C22semidirect
180. C4×SD16×C71C22semidirect
181. C4×SD16×C71C22semidirect
182. C4×SD16×C71C22semidirect
186. #436×C71C22semidirect
187. #436×C71C22semidirect
189. #435×C71C22semidirect
190. C8×D4×C71C22semidirect
191. #433×C71C22semidirect
192. #433×C71C22semidirect
193. #431×C71C22semidirect
194. #424×C71C22semidirect
195. #424×C71C22semidirect
196. #423×C71C22semidirect
197. #419×C71C22semidirect
198. #419×C71C22semidirect
199. #418×C71C22semidirect
200. #417×C71C22semidirect
202. C2×#103×C71C22semidirect
860. #62048C71direct (N × H)
871. #3561C2×C71semidirect
872. #3521C2×C71semidirect
873. #3402C2×C71semidirect
874. #3393C2×C71semidirect
875. #3376C2×C71semidirect
876. #3360C2×C71semidirect
877. #3328C2×C71semidirect
878. #3327C2×C71semidirect
879. #3322C2×C71semidirect
880. #3320C2×C71semidirect
881. #3311C2×C71semidirect
882. #3300C2×C71semidirect
883. #3282C2×C71semidirect
884. #3276C2×C71semidirect
885. #3275C2×C71semidirect
886. #3273C2×C71semidirect
887. #3267C2×C71semidirect
888. #3266C2×C71semidirect
889. #3263C2×C71semidirect
890. #3258C2×C71semidirect
891. #3252C2×C71semidirect
892. #3225C2×C71semidirect
893. #3223C2×C71semidirect
894. #3211C2×C71semidirect
895. #3124C2×C71semidirect
896. #3118C2×C71semidirect
897. #3107C2×C71semidirect
898. #3046C2×C71semidirect
899. #3042C2×C71semidirect
900. #3040C2×C71semidirect
901. #2993C2×C71semidirect
902. C71#62048direct (N × H)
904. C2×#137C22×C71semidirect
908. C22×SD16C22×C71semidirect
912. #556C22×C71semidirect
913. #556C22×C71semidirect
914. #556C22×C71semidirect
915. #554C22×C71semidirect
919. #552C22×C71semidirect
925. D4×Q8C22×C71semidirect
931. #546C22×C71semidirect
932. #546C22×C71semidirect
937. #542C22×C71semidirect
938. #542C22×C71semidirect
939. #541C22×C71semidirect
944. #536C22×C71semidirect
945. #533C22×C71semidirect
950. C2×#124C22×C71semidirect
951. #520C22×C71semidirect
952. #518C22×C71semidirect
954. #497C22×C71semidirect
955. #497C22×C71semidirect
959. #494C22×C71semidirect
960. #491C22×C71semidirect
961. #489C22×C71semidirect
962. #488C22×C71semidirect
963. #488C22×C71semidirect
964. #488C22×C71semidirect
965. #487C22×C71semidirect
966. #485C22×C71semidirect
967. #485C22×C71semidirect
968. #485C22×C71semidirect
969. #484C22×C71semidirect
971. #480C22×C71semidirect
972. #479C22×C71semidirect
973. #479C22×C71semidirect
974. #479C22×C71semidirect
975. #478C22×C71semidirect
976. #477C22×C71semidirect
977. #476C22×C71semidirect
978. #476C22×C71semidirect
979. #475C22×C71semidirect
980. #475C22×C71semidirect
981. #474C22×C71semidirect
982. #470C22×C71semidirect
983. #470C22×C71semidirect
984. #470C22×C71semidirect
985. #470C22×C71semidirect
990. #467C22×C71semidirect
992. #465C22×C71semidirect
993. #465C22×C71semidirect
994. #464C22×C71semidirect
995. #464C22×C71semidirect
996. #464C22×C71semidirect
997. #464C22×C71semidirect
998. #464C22×C71semidirect
999. #464C22×C71semidirect
1000. #464C22×C71semidirect
1001. #464C22×C71semidirect
1002. #464C22×C71semidirect
1003. #464C22×C71semidirect
1014. #462C22×C71semidirect
1015. #462C22×C71semidirect
1016. #462C22×C71semidirect
1017. #462C22×C71semidirect
1018. #461C22×C71semidirect
1019. #461C22×C71semidirect
1020. #461C22×C71semidirect
1021. #461C22×C71semidirect
1022. #461C22×C71semidirect
1023. #461C22×C71semidirect
1028. #452C22×C71semidirect
1029. #452C22×C71semidirect
1030. #451C22×C71semidirect
1031. #451C22×C71semidirect
1032. #451C22×C71semidirect
1033. #451C22×C71semidirect
1034. #450C22×C71semidirect
1035. #450C22×C71semidirect
1039. #448C22×C71semidirect
1042. #446C22×C71semidirect
1043. C8×Q8C22×C71semidirect
1045. #440C22×C71semidirect
1046. #440C22×C71semidirect
1047. #440C22×C71semidirect
1048. C4×Q16C22×C71semidirect
1049. C4×Q16C22×C71semidirect
1050. C4×Q16C22×C71semidirect
1051. C4×SD16C22×C71semidirect
1052. C4×SD16C22×C71semidirect
1053. C4×SD16C22×C71semidirect
1057. #436C22×C71semidirect
1058. #436C22×C71semidirect
1060. #435C22×C71semidirect
1061. C8×D4C22×C71semidirect
1062. #433C22×C71semidirect
1063. #433C22×C71semidirect
1064. #431C22×C71semidirect
1065. #424C22×C71semidirect
1066. #424C22×C71semidirect
1067. #423C22×C71semidirect
1068. #419C22×C71semidirect
1069. #419C22×C71semidirect
1070. #418C22×C71semidirect
1071. #417C22×C71semidirect
1073. C2×#103C22×C71semidirect

Maximal subgroups

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

subgroupindex
C71×#35612
C71×#35212
C71×#34022
C71×#33932
C71×#33762
C71×#33602
C71×#33282
C71×#33272
C71×#33222
C71×#33202
C71×#33112
C71×#33002
C71×#32822
C71×#32762
C71×#32752
C71×#32732
C71×#32672
C71×#32662
C71×#32632
C71×#32582
C71×#32522
C71×#32252
C71×#32232
C71×#32112
C71×#31242
C71×#31182
C71×#31072
C71×#30462
C71×#30422
C71×#30402
C71×#29932
#6204871