Finite Group Databasebeta

← C71×#62014 #31882886

Subgroups — C71×#62014 #31882886

Order 18176.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C71×#3562C211yesmaximal, characteristic, complemented
2C71×#3517C211yesmaximal, characteristic, complemented
3C71×#3399C211yesmaximal, characteristic, complemented
4C71×#3397C211yesmaximal, characteristic, complemented
5C71×#3377C211yesmaximal, characteristic, complemented
6C71×#3371C211yesmaximal, characteristic, complemented
7C71×#3309C211yesmaximal, characteristic, complemented
8C71×#3308C211yesmaximal, characteristic, complemented
9C71×#3307C211yesmaximal, characteristic, complemented
10C71×#3306C211yesmaximal, characteristic, complemented
11C71×#3301C211yesmaximal, characteristic, complemented
12C71×#3297C211yesmaximal, characteristic, complemented
13C71×#3287C211yesmaximal, characteristic, complemented
14C71×#3284C211yesmaximal, characteristic, complemented
15C71×#3271C211yesmaximal, characteristic, complemented
16C71×#3271C211yesmaximal, characteristic, complemented
17C71×#3268C211yesmaximal, characteristic, complemented
18C71×#3268C211yesmaximal, characteristic, complemented
19C71×#3260C211yesmaximal, characteristic, complemented
20C71×#3259C211yesmaximal, characteristic, complemented
21C71×#3247C211yesmaximal, characteristic, complemented
22C71×#3221C211yesmaximal, characteristic, complemented
23C71×#3220C211yesmaximal, characteristic, complemented
24C71×#3214C211yesmaximal, 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#553×C71—21no—
44#553×C71—21no—
45#553×C71—21no—
46#553×C71C2211yescharacteristic
47#553×C71C2211yescharacteristic, complemented
48#551×C71—21no—
49#550×C71—21no—
50#550×C71C2211yescharacteristic
51#550×C71C2211yescharacteristic
52#550×C71C2211yescharacteristic
53#550×C71C2211yescharacteristic, complemented
54#550×C71C2211yescharacteristic, complemented
55#548×C71C2211yescharacteristic
56#548×C71C2211yescharacteristic
57#547×C71—21no—
58#547×C71C2211yescharacteristic
59#547×C71C2211yescharacteristic
60#546×C71C2211yescharacteristic
61#546×C71C2211yescharacteristic
62#541×C71C2211yescharacteristic
63#540×C71—21no—
64#540×C71—21no—
65#540×C71—21no—
66#540×C71C2211yescharacteristic
67#540×C71C2211yescharacteristic
68#540×C71C2211yescharacteristic, complemented
69#539×C71—21no—
70#538×C71—21no—
71#538×C71—21no—
72#536×C71C2211yescharacteristic
73#535×C71C2211yescharacteristic
74#532×C71—21no—
75#532×C71C2211yescharacteristic
76#532×C71C2211yescharacteristic, complemented
77#529×C71—21no—
78#529×C71C2211yescharacteristic
79#529×C71C2211yescharacteristic
80#520×C71C2211yescharacteristic
81#520×C71C2211yescharacteristic, complemented
82C4×#41×C71C2211yescharacteristic, complemented
83#496×C71C2211yescharacteristic
84#496×C71C2211yescharacteristic
85#496×C71C2211yescharacteristic
86#496×C71C2211yescharacteristic, complemented
87#493×C71C2211yescharacteristic
88#492×C71C2211yescharacteristic, complemented
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
100#480×C71C2211yescharacteristic, complemented
101#479×C71C2211yescharacteristic, complemented
102#479×C71C2211yescharacteristic, complemented
103#479×C71C2211yescharacteristic, complemented
104#478×C71C2211yescharacteristic
105#478×C71C2211yescharacteristic, complemented
106#478×C71C2211yescharacteristic, complemented
107#478×C71C2211yescharacteristic, complemented
108#478×C71C2211yescharacteristic, complemented
109#477×C71C2211yescharacteristic, complemented
110#476×C71C2211yescharacteristic
111#469×C71C2211yescharacteristic
112#469×C71C2211yescharacteristic, complemented
113#468×C71C2211yescharacteristic
114#468×C71C2211yescharacteristic
115#466×C71C2211yescharacteristic
116#466×C71C2211yescharacteristic
117#466×C71C2211yescharacteristic
118#466×C71C2211yescharacteristic, complemented
119#465×C71C2211yescharacteristic
120#465×C71C2211yescharacteristic
121#465×C71C2211yescharacteristic, complemented
122#465×C71C2211yescharacteristic, complemented
123#464×C71C2211yescharacteristic
124#464×C71C2211yescharacteristic
125#464×C71C2211yescharacteristic
126#464×C71C2211yescharacteristic
127#464×C71C2211yescharacteristic, complemented
128#463×C71C2211yescharacteristic
129#463×C71C2211yescharacteristic
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#461×C71C2211yescharacteristic, complemented
138#461×C71C2211yescharacteristic, complemented
139#461×C71C2211yescharacteristic, complemented
140#461×C71C2211yescharacteristic, complemented
141#460×C71C2211yescharacteristic
142#460×C71C2211yescharacteristic
143#460×C71C2211yescharacteristic, complemented
144#460×C71C2211yescharacteristic, complemented
145#460×C71C2211yescharacteristic, complemented
146#459×C71C2211yescharacteristic
147#459×C71C2211yescharacteristic
148#459×C71C2211yescharacteristic
149#459×C71C2211yescharacteristic
150#459×C71C2211yescharacteristic
151#459×C71C2211yescharacteristic
152#459×C71C2211yescharacteristic, complemented
153#452×C71C2211yescharacteristic
154#452×C71C2211yescharacteristic
155#452×C71C2211yescharacteristic, complemented
156#449×C71C2211yescharacteristic
157#449×C71C2211yescharacteristic
158#449×C71C2211yescharacteristic
159#449×C71C2211yescharacteristic
160#449×C71C2211yescharacteristic
161#449×C71C2211yescharacteristic
162#449×C71C2211yescharacteristic
163#449×C71C2211yescharacteristic
164#449×C71C2211yescharacteristic, complemented
165#449×C71C2211yescharacteristic, complemented
166#449×C71C2211yescharacteristic, complemented
167#448×C71C2211yescharacteristic, complemented
168#448×C71C2211yescharacteristic, complemented
169#447×C71C2211yescharacteristic
170#447×C71C2211yescharacteristic
171#446×C71C2211yescharacteristic, complemented
172#446×C71C2211yescharacteristic, complemented
173#442×C71C2211yescharacteristic
174#442×C71C2211yescharacteristic, complemented
175#441×C71C2211yescharacteristic, complemented
176#441×C71C2211yescharacteristic, complemented
177#440×C71C2211yescharacteristic
178#440×C71C2211yescharacteristic
179#440×C71C2211yescharacteristic, complemented
180#440×C71C2211yescharacteristic, complemented
181C4×Q16×C71C2211yescharacteristic, complemented
182C4×SD16×C71C2211yescharacteristic, complemented
183C4×SD16×C71C2211yescharacteristic, complemented
184C4×D8×C71C2211yescharacteristic
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×C71—21no—
204C2×#41×C71—21no—
205C2×#41×C71—21no—
206C2×#41×C71C2311yescharacteristic
207C2×#41×C71C2311yescharacteristic
208C2×#41×C71C2311yescharacteristic
209C2×#41×C71C2311yescharacteristic
210C2×#41×C71C2311yescharacteristic
211C2×#41×C71C2311yescharacteristic
212C2×#41×C71C2311yescharacteristic
213C22×Q8×C71C2311yescharacteristic
214C22×D4×C71C2311yescharacteristic
215#137×C71—42no—
216AGL(1,ℤ/8)×C71—42no—
217#135×C71—42no—
218#135×C71—42no—
219#135×C71—42no—
220#135×C71—42no—
221C2×Q16×C71C2311yescharacteristic
222C2×Q16×C71C2311yescharacteristic
223C2×Q16×C71C2311yescharacteristic
224C2×SD16×C71C2311yescharacteristic
225C2×SD16×C71C2311yescharacteristic
226C2×SD16×C71C2311yescharacteristic
227C2×SD16×C71C2311yescharacteristic
228C2×SD16×C71C2311yescharacteristic
229C2×SD16×C71C2311yescharacteristic
230C2×SD16×C71C2311yescharacteristic
231C2×SD16×C71C2311yescharacteristic
232C2×SD16×C71C2311yescharacteristic
233C2×SD16×C71C2311yescharacteristic
234C2×SD16×C71C2311yescharacteristic
235C2×SD16×C71C2311yescharacteristic
236C2×D8×C71C2311yescharacteristic
237C2×D8×C71C2311yescharacteristic
238C2×D8×C71C2311yescharacteristic
239C2×D8×C71C2311yescharacteristic
240C2×D8×C71C2311yescharacteristic
241C2×D8×C71C2311yescharacteristic
242C2×D8×C71C2311yescharacteristic
243C2×D8×C71C2311yescharacteristic
244C2×D8×C71C2311yescharacteristic
245C2×M16×C71C2311yescharacteristic
246C2×M16×C71C2311yescharacteristic
247C22×C8×C71C2311yescharacteristic
248C22×C8×C71C2311yescharacteristic
249C22×C8×C71C2311yescharacteristic
250C22×C8×C71C2311yescharacteristic
251C4⋊Q8×C71—21no—
252C4⋊Q8×C71C2311yescharacteristic
253C4⋊Q8×C71C2311yescharacteristic
254C4⋊Q8×C71C2311yescharacteristic
255#127×C71—21no—
256#127×C71—21no—
257#127×C71—21no—
258#127×C71—21no—
259#127×C71C2311yescharacteristic
260#127×C71C2311yescharacteristic
261#127×C71C2311yescharacteristic
262#127×C71C2311yescharacteristic
263#127×C71C2311yescharacteristic
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×C71D411yescharacteristic
272#126×C71D411yescharacteristic
273#125×C71—21no—
274#125×C71—21no—
275#125×C71—21no—
276#125×C71—21no—
277#125×C71D411yescharacteristic
278#125×C71C2311yescharacteristic
279#125×C71C2311yescharacteristic
280#125×C71C2311yescharacteristic
281#124×C71—21no—
282#124×C71—21no—
283#124×C71—21no—
284#124×C71—21no—
285#124×C71D411yescharacteristic
286#124×C71C2311yescharacteristic
287#124×C71C2311yescharacteristic
288#124×C71C2311yescharacteristic
289#124×C71C2311yescharacteristic
290#124×C71C2311yescharacteristic
291#123×C71—21no—
292#123×C71—21no—
293#123×C71—21no—
294#123×C71—21no—
295#123×C71—21no—
296#123×C71—21no—
297#123×C71—21no—
298#123×C71—21no—
299#123×C71—21no—
300#123×C71—21no—
301#123×C71—21no—
302#123×C71—21no—
303#123×C71—21no—
304#123×C71—21no—
305#123×C71—21no—
306#123×C71—21no—
307#123×C71—21no—
308#123×C71—21no—
309#123×C71—21no—
310#123×C71D411yescharacteristic
311#123×C71D411yescharacteristic
312C22⋊Q8×C71—21no—
313C22⋊Q8×C71—21no—
314C22⋊Q8×C71—21no—
315C22⋊Q8×C71—21no—
316C22⋊Q8×C71—21no—
317C22⋊Q8×C71—21no—
318C22⋊Q8×C71D411yescharacteristic
319C22⋊Q8×C71C2311yescharacteristic
320C22⋊Q8×C71C2311yescharacteristic
321C22⋊Q8×C71C2311yescharacteristic
322#121×C71—21no—
323#121×C71—21no—
324#121×C71—21no—
325#121×C71—21no—
326#121×C71—21no—
327#121×C71—21no—
328#121×C71—21no—
329#121×C71—21no—
330#121×C71—21no—
331#121×C71—21no—
332#121×C71—21no—
333#121×C71—21no—
334#121×C71—21no—
335#121×C71—21no—
336#121×C71—21no—
337#121×C71—21no—
338#121×C71—21no—
339#121×C71—21no—
340#121×C71—21no—
341#121×C71—21no—
342#121×C71—21no—
343#121×C71—21no—
344#121×C71—21no—
345#121×C71—21no—
346#121×C71—21no—
347#121×C71—21no—
348#121×C71—21no—
349#121×C71—21no—
350#121×C71—21no—
351#121×C71D411yescharacteristic
352#121×C71C2311yescharacteristic
353#121×C71C2311yescharacteristic
354#121×C71C2311yescharacteristic
355#121×C71C2311yescharacteristic
356#121×C71C2311yescharacteristic
357#121×C71C2311yescharacteristic
358#121×C71C2311yescharacteristic
359#121×C71C2311yescharacteristic
360#121×C71C2311yescharacteristic
361#120×C71—21no—
362#120×C71—21no—
363#120×C71—21no—
364#120×C71—21no—
365C4×Q8×C71—21no—
366C4×Q8×C71C2311yescharacteristic
367C4×Q8×C71C2311yescharacteristic
368C4×Q8×C71C2311yescharacteristic
369C4×Q8×C71C2311yescharacteristic
370C4×Q8×C71C2311yescharacteristic
371C4×Q8×C71C2311yescharacteristic
372C4×Q8×C71C2311yescharacteristic
373C4×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×C71—21no—
389C4×D4×C71—21no—
390C4×D4×C71—21no—
391C4×D4×C71—21no—
392C4×D4×C71—21no—
393C4×D4×C71C2311yescharacteristic
394C4×D4×C71C2311yescharacteristic
395C4×D4×C71C2311yescharacteristic
396C4×D4×C71C2311yescharacteristic
397C4×D4×C71C2311yescharacteristic
398C4×D4×C71C2311yescharacteristic
399C4×D4×C71C2311yescharacteristic
400C4×D4×C71C2311yescharacteristic
401C4×D4×C71C2311yescharacteristic
402C4×D4×C71C2311yescharacteristic
403C4×D4×C71C2311yescharacteristic
404C4×D4×C71C2311yescharacteristic
405#117×C71—21no—
406#117×C71—21no—
407#117×C71—21no—
408#117×C71—21no—
409#117×C71—21no—
410#117×C71C2311yescharacteristic
411#117×C71C2311yescharacteristic
412#117×C71C2311yescharacteristic
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#102×C71C2311yescharacteristic
455#102×C71C2311yescharacteristic
456#102×C71C2311yescharacteristic
457#102×C71C2311yescharacteristic
458#102×C71C2311yescharacteristic
459#102×C71C2311yescharacteristic
460#102×C71C2311yescharacteristic
461#102×C71C2311yescharacteristic
462#102×C71C2311yescharacteristic
463#102×C71C2311yescharacteristic
464#102×C71C2311yescharacteristic
465#102×C71C2311yescharacteristic
466#102×C71C2311yescharacteristic
467#102×C71C2311yescharacteristic
468#102×C71C2311yescharacteristic
469#102×C71C2311yescharacteristic
470#102×C71C2311yescharacteristic
471#102×C71C2311yescharacteristic
472C22⋊C8×C71C2311yescharacteristic
473C22⋊C8×C71C2311yescharacteristic
474C22⋊C8×C71C2311yescharacteristic
475C22⋊C8×C71C2311yescharacteristic
476C22⋊C8×C71C2311yescharacteristic
477C22⋊C8×C71C2311yescharacteristic
478#97×C71C2311yescharacteristic
479#97×C71C2311yescharacteristic
480#97×C71C2311yescharacteristic
481#97×C71C2311yescharacteristic
482C4×C8×C71C2311yescharacteristic
483C4×C8×C71C2311yescharacteristic
484C24×C71—21no—
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—
499#41×C71—82no—
500#41×C71—82no—
501#41×C71—82no—
502C2×Q8×C71—21no—
503C2×Q8×C71—21no—
504C2×Q8×C71—41no—
505C2×Q8×C71—41no—
506C2×Q8×C71C2×D411yescharacteristic
507C2×Q8×C71C2411yescharacteristic
508C2×Q8×C71C2411yescharacteristic
509C2×Q8×C71C2411yescharacteristic
510C2×Q8×C71C2411yescharacteristic
511C2×D4×C71—21no—
512C2×D4×C71—21no—
513C2×D4×C71—21no—
514C2×D4×C71—21no—
515C2×D4×C71—21no—
516C2×D4×C71—21no—
517C2×D4×C71—21no—
518C2×D4×C71—21no—
519C2×D4×C71—21no—
520C2×D4×C71—21no—
521C2×D4×C71—21no—
522C2×D4×C71—21no—
523C2×D4×C71—21no—
524C2×D4×C71—21no—
525C2×D4×C71—21no—
526C2×D4×C71—21no—
527C2×D4×C71—21no—
528C2×D4×C71—21no—
529C2×D4×C71—21no—
530C2×D4×C71—21no—
531C2×D4×C71—21no—
532C2×D4×C71—21no—
533C2×D4×C71—21no—
534C2×D4×C71—21no—
535C2×D4×C71—21no—
536C2×D4×C71—21no—
537C2×D4×C71—21no—
538C2×D4×C71—41no—
539C2×D4×C71—41no—
540C2×D4×C71C2×D411yescharacteristic
541C2×D4×C71C2×D411yescharacteristic
542C2×D4×C71C2×D411yescharacteristic
543C2×D4×C71C2411yescharacteristic
544C2×D4×C71C2411yescharacteristic
545C2×D4×C71C2411yescharacteristic
546C2×D4×C71C2411yescharacteristic
547C2×D4×C71C2411yescharacteristic
548C2×D4×C71C2411yescharacteristic
549C22×C4×C71—21no—
550C22×C4×C71—21no—
551C22×C4×C71—21no—
552C22×C4×C71—21no—
553C22×C4×C71—21no—
554C22×C4×C71—21no—
555C22×C4×C71—21no—
556C22×C4×C71—21no—
557C22×C4×C71—21no—
558C22×C4×C71—21no—
559C22×C4×C71—21no—
560C22×C4×C71—21no—
561C22×C4×C71—21no—
562C22×C4×C71—21no—
563C22×C4×C71—21no—
564C22×C4×C71—21no—
565C22×C4×C71—21no—
566C22×C4×C71—21no—
567C22×C4×C71—21no—
568C22×C4×C71C2×D411yescharacteristic
569C22×C4×C71C2×D411yescharacteristic
570C22×C4×C71C2411yescharacteristic
571C22×C4×C71C2411yescharacteristic
572C22×C4×C71C2411yescharacteristic
573Q16×C71—22no—
574Q16×C71—22no—
575Q16×C71—22no—
576SD16×C71—22no—
577SD16×C71—22no—
578SD16×C71—22no—
579SD16×C71—41no—
580SD16×C71—41no—
581SD16×C71—41no—
582SD16×C71—41no—
583SD16×C71—41no—
584SD16×C71—41no—
585SD16×C71—41no—
586SD16×C71—41no—
587SD16×C71—41no—
588D8×C71—41no—
589D8×C71—41no—
590D8×C71—41no—
591D8×C71—41no—
592D8×C71—41no—
593D8×C71—41no—
594D8×C71—41no—
595D8×C71—41no—
596D8×C71—41no—
597M16×C71—41no—
598M16×C71—41no—
599C2×C8×C71—41no—
600C2×C8×C71—41no—
601C2×C8×C71—41no—
602C2×C8×C71—41no—
603C2×C8×C71C2411yescharacteristic
604C2×C8×C71C2411yescharacteristic
605C2×C8×C71C2411yescharacteristic
606C2×C8×C71C2411yescharacteristic
607C2×C8×C71C2411yescharacteristic
608C2×C8×C71C2411yescharacteristic
609C2×C8×C71C2411yescharacteristic
610C2×C8×C71C2411yescharacteristic
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×C71—21no—
632C4⋊C4×C71—21no—
633C4⋊C4×C71—21no—
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×C71C2×D411yescharacteristic
642C4⋊C4×C71C2×D411yescharacteristic
643C4⋊C4×C71C2×D411yescharacteristic
644C4⋊C4×C71C2411yescharacteristic
645C4⋊C4×C71C2411yescharacteristic
646C4⋊C4×C71C2411yescharacteristic
647C4⋊C4×C71C2411yescharacteristic
648C4⋊C4×C71C2411yescharacteristic
649C4⋊C4×C71C2411yescharacteristic
650C22⋊C4×C71—21no—
651C22⋊C4×C71—21no—
652C22⋊C4×C71—21no—
653C22⋊C4×C71—21no—
654C22⋊C4×C71—21no—
655C22⋊C4×C71—21no—
656C22⋊C4×C71—21no—
657C22⋊C4×C71—21no—
658C22⋊C4×C71—21no—
659C22⋊C4×C71—21no—
660C22⋊C4×C71—21no—
661C22⋊C4×C71—21no—
662C22⋊C4×C71—21no—
663C22⋊C4×C71—21no—
664C22⋊C4×C71—21no—
665C22⋊C4×C71—21no—
666C22⋊C4×C71—21no—
667C22⋊C4×C71—21no—
668C22⋊C4×C71—21no—
669C22⋊C4×C71—21no—
670C22⋊C4×C71—21no—
671C22⋊C4×C71—21no—
672C22⋊C4×C71—21no—
673C22⋊C4×C71—21no—
674C22⋊C4×C71—21no—
675C22⋊C4×C71—21no—
676C22⋊C4×C71—21no—
677C22⋊C4×C71—21no—
678C22⋊C4×C71—21no—
679C22⋊C4×C71—21no—
680C22⋊C4×C71—21no—
681C22⋊C4×C71—21no—
682C22⋊C4×C71C2×D411yescharacteristic
683C22⋊C4×C71C2×D411yescharacteristic
684C22⋊C4×C71C2×D411yescharacteristic
685C22⋊C4×C71C2×D411yescharacteristic
686C22⋊C4×C71C2×D411yescharacteristic
687C22⋊C4×C71C2×D411yescharacteristic
688C22⋊C4×C71C2×D411yescharacteristic
689C22⋊C4×C71C2×D411yescharacteristic
690C22⋊C4×C71C2×D411yescharacteristic
691C22⋊C4×C71C2×D411yescharacteristic
692C42×C71—21no—
693C42×C71—21no—
694C42×C71—21no—
695C42×C71—21no—
696C42×C71—21no—
697C42×C71—21no—
698C42×C71—21no—
699C42×C71—21no—
700C42×C71C2×D411yescharacteristic
701C42×C71C2×D411yescharacteristic
702C42×C71C2411yescharacteristic
703C42×C71C2411yescharacteristic
704C42×C71C2411yescharacteristic
705C42×C71C2411yescharacteristic
706C23×C71—21no—
707C23×C71—21no—
708C23×C71—21no—
709C23×C71—21no—
710C23×C71—21no—
711C23×C71—21no—
712C23×C71—81no—
713C23×C71—81no—
714C23×C71—81no—
715C23×C71C22×D411yescharacteristic
716C23×C71C22×D411yescharacteristic
717C23×C71C22×D411yescharacteristic
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—42no—
727Q8×C71—81no—
728Q8×C71H(5,𝔽2)12yes—
729D4×C71—21no—
730D4×C71—21no—
731D4×C71—21no—
732D4×C71—21no—
733D4×C71—21no—
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—42no—
748D4×C71—81no—
749D4×C71—81no—
750D4×C71—81no—
751D4×C71—81no—
752D4×C71—81no—
753D4×C71—81no—
754D4×C71—81no—
755D4×C71—81no—
756D4×C71—81no—
757D4×C71—81no—
758D4×C71—81no—
759D4×C71—81no—
760D4×C71—81no—
761D4×C71—81no—
762D4×C71—81no—
763D4×C71—81no—
764D4×C71—81no—
765D4×C71—81no—
766D4×C71—81no—
767D4×C71—81no—
768D4×C71—81no—
769D4×C71—81no—
770D4×C71—81no—
771C2×C4×C71—21no—
772C2×C4×C71—21no—
773C2×C4×C71—21no—
774C2×C4×C71—21no—
775C2×C4×C71—21no—
776C2×C4×C71—21no—
777C2×C4×C71—21no—
778C2×C4×C71—21no—
779C2×C4×C71—21no—
780C2×C4×C71—21no—
781C2×C4×C71—21no—
782C2×C4×C71—21no—
783C2×C4×C71—21no—
784C2×C4×C71—21no—
785C2×C4×C71—21no—
786C2×C4×C71—21no—
787C2×C4×C71—41no—
788C2×C4×C71—41no—
789C2×C4×C71—42no—
790C2×C4×C71—42no—
791C2×C4×C71—42no—
792C2×C4×C71—42no—
793C2×C4×C71—81no—
794C2×C4×C71—81no—
795C2×C4×C71—81no—
796C2×C4×C71—81no—
797C2×C4×C71—81no—
798C2×C4×C71—81no—
799C2×C4×C71—81no—
800C2×C4×C71—81no—
801C2×C4×C71—81no—
802C2×C4×C71—81no—
803C2×C4×C71—81no—
804C2×C4×C71—81no—
805C2×C4×C71—81no—
806C2×C4×C71—81no—
807C2×C4×C71—81no—
808C2×C4×C71C22×D411yescharacteristic
809C2×C4×C71C22×D411yescharacteristic
810C2×C4×C71C22×D411yescharacteristic
811C2×C4×C71C22×D411yescharacteristic
812C2×C4×C71C22×D411yescharacteristic
813C2×C4×C71C22×D411yescharacteristic
814C2×C4×C71C22×D411yescharacteristic
815C2×C4×C71C22×D411yescharacteristic
816C2×C4×C71C22×D411yescharacteristic
817C2×C4×C71C22×D411yescharacteristic
818C2×C4×C71C22×D411yescharacteristic
819C2×C4×C71C2511yescharacteristic
820C8×C71—21no—
821C8×C71—21no—
822C8×C71—21no—
823C8×C71—21no—
824C8×C71—21no—
825C8×C71—21no—
826C8×C71—21no—
827C8×C71—21no—
828C22×C71—21no—
829C22×C71—21no—
830C22×C71—21no—
831C22×C71—21no—
832C22×C71—21no—
833C22×C71—21no—
834C22×C71—21no—
835C22×C71—21no—
836C22×C71—21no—
837C22×C71—41no—
838C22×C71—41no—
839C22×C71—41no—
840C22×C71—41no—
841C22×C71—41no—
842C22×C71—41no—
843C22×C71—41no—
844C22×C71—41no—
845C22×C71—41no—
846C22×C71—41no—
847C22×C71—41no—
848C22×C71—41no—
849C22×C71—41no—
850C22×C71—41no—
851C22×C71—41no—
852C22×C71—41no—
853C22×C71—41no—
854C22×C71—41no—
855C22×C71—162no—
856C22×C71C23×D411yescharacteristic
857C4×C71—21no—
858C4×C71—21no—
859C4×C71—21no—
860C4×C71—21no—
861C4×C71—21no—
862C4×C71—21no—
863C4×C71—21no—
864C4×C71—21no—
865C4×C71—21no—
866C4×C71—21no—
867C4×C71—21no—
868C4×C71—22no—
869C4×C71—41no—
870C4×C71—41no—
871C4×C71—41no—
872C4×C71—41no—
873C4×C71—41no—
874C4×C71—41no—
875C4×C71—41no—
876C4×C71—41no—
877C4×C71—41no—
878C4×C71C2×H(5,𝔽2)11yescharacteristic
879C4×C71#58511yescharacteristic
880#62014C7111yesmaximal, characteristic, direct product factor, Sylow
881C2×C71—41no—
882C2×C71—41no—
883C2×C71—41no—
884C2×C71—81no—
885C2×C71—81no—
886C2×C71—81no—
887C2×C71—81no—
888C2×C71—81no—
889C2×C71—81no—
890C2×C71#348811yescharacteristic
891C2×C71#358411yescharacteristic
892C2×C71#358511yescharacteristic
893#3562C2×C7111yescharacteristic, complemented
894#3517C2×C7111yescharacteristic, complemented
895#3399C2×C7111yescharacteristic, complemented
896#3397C2×C7111yescharacteristic, complemented
897#3377C2×C7111yescharacteristic, complemented
898#3371C2×C7111yescharacteristic, complemented
899#3309C2×C7111yescharacteristic, complemented
900#3308C2×C7111yescharacteristic, complemented
901#3307C2×C7111yescharacteristic, complemented
902#3306C2×C7111yescharacteristic, complemented
903#3301C2×C7111yescharacteristic, complemented
904#3297C2×C7111yescharacteristic, complemented
905#3287C2×C7111yescharacteristic, complemented
906#3284C2×C7111yescharacteristic, complemented
907#3271C2×C7111yescharacteristic, complemented
908#3271C2×C7111yescharacteristic, complemented
909#3268C2×C7111yescharacteristic, complemented
910#3268C2×C7111yescharacteristic, complemented
911#3260C2×C7111yescharacteristic, complemented
912#3259C2×C7111yescharacteristic, complemented
913#3247C2×C7111yescharacteristic, complemented
914#3221C2×C7111yescharacteristic, complemented
915#3220C2×C7111yescharacteristic, complemented
916#3214C2×C7111yescharacteristic, complemented
917#3120C2×C7111yescharacteristic, complemented
918#3119C2×C7111yescharacteristic, complemented
919#3111C2×C7111yescharacteristic, complemented
920#3046C2×C7111yescharacteristic, complemented
921#3045C2×C7111yescharacteristic, complemented
922#3035C2×C7111yescharacteristic, complemented
923#2992C2×C7111yescharacteristic, complemented
924C71#6201411yescharacteristic, direct product factor, Sylow
925C2×#137C22×C7111yescharacteristic, complemented
926C2×AGL(1,ℤ/8)C22×C7111yescharacteristic
927C2×#135C22×C7111yescharacteristic
928C2×#135C22×C7111yescharacteristic
929C2×#135C22×C7111yescharacteristic
930C2×#135C22×C7111yescharacteristic, complemented
931#562—21no—
932#560—21no—
933#559C22×C7111yescharacteristic
934#557C22×C7111yescharacteristic, complemented
935#556C22×C7111yescharacteristic
936#553—21no—
937#553—21no—
938#553—21no—
939#553C22×C7111yescharacteristic
940#553C22×C7111yescharacteristic, complemented
941#551—21no—
942#550—21no—
943#550C22×C7111yescharacteristic
944#550C22×C7111yescharacteristic
945#550C22×C7111yescharacteristic
946#550C22×C7111yescharacteristic, complemented
947#550C22×C7111yescharacteristic, complemented
948#548C22×C7111yescharacteristic
949#548C22×C7111yescharacteristic
950#547—21no—
951#547C22×C7111yescharacteristic
952#547C22×C7111yescharacteristic
953#546C22×C7111yescharacteristic
954#546C22×C7111yescharacteristic
955#541C22×C7111yescharacteristic
956#540—21no—
957#540—21no—
958#540—21no—
959#540C22×C7111yescharacteristic
960#540C22×C7111yescharacteristic
961#540C22×C7111yescharacteristic, complemented
962#539—21no—
963#538—21no—
964#538—21no—
965#536C22×C7111yescharacteristic
966#535C22×C7111yescharacteristic
967#532—21no—
968#532C22×C7111yescharacteristic
969#532C22×C7111yescharacteristic, complemented
970#529—21no—
971#529C22×C7111yescharacteristic
972#529C22×C7111yescharacteristic
973#520C22×C7111yescharacteristic
974#520C22×C7111yescharacteristic, complemented
975C4×#41C22×C7111yescharacteristic, complemented
976#496C22×C7111yescharacteristic
977#496C22×C7111yescharacteristic
978#496C22×C7111yescharacteristic
979#496C22×C7111yescharacteristic, complemented
980#493C22×C7111yescharacteristic
981#492C22×C7111yescharacteristic, complemented
982#491C22×C7111yescharacteristic, complemented
983#490C22×C7111yescharacteristic
984#489C22×C7111yescharacteristic
985#489C22×C7111yescharacteristic, complemented
986#488C22×C7111yescharacteristic
987#488C22×C7111yescharacteristic
988#485C22×C7111yescharacteristic, complemented
989#484C22×C7111yescharacteristic
990#483C22×C7111yescharacteristic
991#482C22×C7111yescharacteristic
992#481C22×C7111yescharacteristic
993#480C22×C7111yescharacteristic, complemented
994#479C22×C7111yescharacteristic, complemented
995#479C22×C7111yescharacteristic, complemented
996#479C22×C7111yescharacteristic, complemented
997#478C22×C7111yescharacteristic
998#478C22×C7111yescharacteristic, complemented
999#478C22×C7111yescharacteristic, complemented
1000#478C22×C7111yescharacteristic, complemented
1001#478C22×C7111yescharacteristic, complemented
1002#477C22×C7111yescharacteristic, complemented
1003#476C22×C7111yescharacteristic
1004#469C22×C7111yescharacteristic
1005#469C22×C7111yescharacteristic, complemented
1006#468C22×C7111yescharacteristic
1007#468C22×C7111yescharacteristic
1008#466C22×C7111yescharacteristic
1009#466C22×C7111yescharacteristic
1010#466C22×C7111yescharacteristic
1011#466C22×C7111yescharacteristic, complemented
1012#465C22×C7111yescharacteristic
1013#465C22×C7111yescharacteristic
1014#465C22×C7111yescharacteristic, complemented
1015#465C22×C7111yescharacteristic, complemented
1016#464C22×C7111yescharacteristic
1017#464C22×C7111yescharacteristic
1018#464C22×C7111yescharacteristic
1019#464C22×C7111yescharacteristic
1020#464C22×C7111yescharacteristic, complemented
1021#463C22×C7111yescharacteristic
1022#463C22×C7111yescharacteristic
1023#463C22×C7111yescharacteristic
1024#463C22×C7111yescharacteristic
1025#463C22×C7111yescharacteristic
1026#463C22×C7111yescharacteristic
1027#463C22×C7111yescharacteristic, complemented
1028#462C22×C7111yescharacteristic, complemented
1029#462C22×C7111yescharacteristic, complemented
1030#461C22×C7111yescharacteristic, complemented
1031#461C22×C7111yescharacteristic, complemented
1032#461C22×C7111yescharacteristic, complemented
1033#461C22×C7111yescharacteristic, complemented
1034#460C22×C7111yescharacteristic
1035#460C22×C7111yescharacteristic
1036#460C22×C7111yescharacteristic, complemented
1037#460C22×C7111yescharacteristic, complemented
1038#460C22×C7111yescharacteristic, complemented
1039#459C22×C7111yescharacteristic
1040#459C22×C7111yescharacteristic
1041#459C22×C7111yescharacteristic
1042#459C22×C7111yescharacteristic
1043#459C22×C7111yescharacteristic
1044#459C22×C7111yescharacteristic
1045#459C22×C7111yescharacteristic, complemented
1046#452C22×C7111yescharacteristic
1047#452C22×C7111yescharacteristic
1048#452C22×C7111yescharacteristic, complemented
1049#449C22×C7111yescharacteristic
1050#449C22×C7111yescharacteristic
1051#449C22×C7111yescharacteristic
1052#449C22×C7111yescharacteristic
1053#449C22×C7111yescharacteristic
1054#449C22×C7111yescharacteristic
1055#449C22×C7111yescharacteristic
1056#449C22×C7111yescharacteristic
1057#449C22×C7111yescharacteristic, complemented
1058#449C22×C7111yescharacteristic, complemented
1059#449C22×C7111yescharacteristic, complemented
1060#448C22×C7111yescharacteristic, complemented
1061#448C22×C7111yescharacteristic, complemented
1062#447C22×C7111yescharacteristic
1063#447C22×C7111yescharacteristic
1064#446C22×C7111yescharacteristic, complemented
1065#446C22×C7111yescharacteristic, complemented
1066#442C22×C7111yescharacteristic
1067#442C22×C7111yescharacteristic, complemented
1068#441C22×C7111yescharacteristic, complemented
1069#441C22×C7111yescharacteristic, complemented
1070#440C22×C7111yescharacteristic
1071#440C22×C7111yescharacteristic
1072#440C22×C7111yescharacteristic, complemented
1073#440C22×C7111yescharacteristic, complemented
1074C4×Q16C22×C7111yescharacteristic, complemented
1075C4×SD16C22×C7111yescharacteristic, complemented
1076C4×SD16C22×C7111yescharacteristic, complemented
1077C4×D8C22×C7111yescharacteristic
1078#435C22×C7111yescharacteristic
1079#435C22×C7111yescharacteristic
1080#435C22×C7111yescharacteristic
1081#435C22×C7111yescharacteristic, complemented
1082C8×D4C22×C7111yescharacteristic
1083C8×D4C22×C7111yescharacteristic, complemented
1084#433C22×C7111yescharacteristic
1085#433C22×C7111yescharacteristic, complemented
1086#432C22×C7111yescharacteristic, complemented
1087#424C22×C7111yescharacteristic
1088#424C22×C7111yescharacteristic, complemented
1089C2×C4⋊C8C22×C7111yescharacteristic, complemented
1090#417C22×C7111yescharacteristic
1091#417C22×C7111yescharacteristic
1092#416C22×C7111yescharacteristic
1093#416C22×C7111yescharacteristic, complemented
1094C2×#103C22×C7111yescharacteristic, complemented
1095C2×#102C22×C7111yescharacteristic
1096C2×#41—21no—
1097C2×#41—21no—
1098C2×#41—21no—
1099C2×#41C23×C7111yescharacteristic
1100C2×#41C23×C7111yescharacteristic
1101C2×#41C23×C7111yescharacteristic
1102C2×#41C23×C7111yescharacteristic
1103C2×#41C23×C7111yescharacteristic
1104C2×#41C23×C7111yescharacteristic
1105C2×#41C23×C7111yescharacteristic
1106C22×Q8C23×C7111yescharacteristic
1107C22×D4C23×C7111yescharacteristic
1108#137—42no—
1109AGL(1,ℤ/8)—42no—
1110#135—42no—
1111#135—42no—
1112#135—42no—
1113#135—42no—
1114C2×Q16C23×C7111yescharacteristic
1115C2×Q16C23×C7111yescharacteristic
1116C2×Q16C23×C7111yescharacteristic
1117C2×SD16C23×C7111yescharacteristic
1118C2×SD16C23×C7111yescharacteristic
1119C2×SD16C23×C7111yescharacteristic
1120C2×SD16C23×C7111yescharacteristic
1121C2×SD16C23×C7111yescharacteristic
1122C2×SD16C23×C7111yescharacteristic
1123C2×SD16C23×C7111yescharacteristic
1124C2×SD16C23×C7111yescharacteristic
1125C2×SD16C23×C7111yescharacteristic
1126C2×SD16C23×C7111yescharacteristic
1127C2×SD16C23×C7111yescharacteristic
1128C2×SD16C23×C7111yescharacteristic
1129C2×D8C23×C7111yescharacteristic
1130C2×D8C23×C7111yescharacteristic
1131C2×D8C23×C7111yescharacteristic
1132C2×D8C23×C7111yescharacteristic
1133C2×D8C23×C7111yescharacteristic
1134C2×D8C23×C7111yescharacteristic
1135C2×D8C23×C7111yescharacteristic
1136C2×D8C23×C7111yescharacteristic
1137C2×D8C23×C7111yescharacteristic
1138C2×M16C23×C7111yescharacteristic
1139C2×M16C23×C7111yescharacteristic
1140C22×C8C23×C7111yescharacteristic
1141C22×C8C23×C7111yescharacteristic
1142C22×C8C23×C7111yescharacteristic
1143C22×C8C23×C7111yescharacteristic
1144C4⋊Q8—21no—
1145C4⋊Q8C23×C7111yescharacteristic
1146C4⋊Q8C23×C7111yescharacteristic
1147C4⋊Q8C23×C7111yescharacteristic
1148#127—21no—
1149#127—21no—
1150#127—21no—
1151#127—21no—
1152#127C23×C7111yescharacteristic
1153#127C23×C7111yescharacteristic
1154#127C23×C7111yescharacteristic
1155#127C23×C7111yescharacteristic
1156#127C23×C7111yescharacteristic
1157#126—21no—
1158#126—21no—
1159#126—21no—
1160#126—21no—
1161#126—21no—
1162#126—21no—
1163#126—21no—
1164#126D4×C7111yescharacteristic
1165#126D4×C7111yescharacteristic
1166#125—21no—
1167#125—21no—
1168#125—21no—
1169#125—21no—
1170#125D4×C7111yescharacteristic
1171#125C23×C7111yescharacteristic
1172#125C23×C7111yescharacteristic
1173#125C23×C7111yescharacteristic
1174#124—21no—
1175#124—21no—
1176#124—21no—
1177#124—21no—
1178#124D4×C7111yescharacteristic
1179#124C23×C7111yescharacteristic
1180#124C23×C7111yescharacteristic
1181#124C23×C7111yescharacteristic
1182#124C23×C7111yescharacteristic
1183#124C23×C7111yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123—21no—
1201#123—21no—
1202#123—21no—
1203#123D4×C7111yescharacteristic
1204#123D4×C7111yescharacteristic
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8D4×C7111yescharacteristic
1212C22⋊Q8C23×C7111yescharacteristic
1213C22⋊Q8C23×C7111yescharacteristic
1214C22⋊Q8C23×C7111yescharacteristic
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#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121—21no—
1244#121D4×C7111yescharacteristic
1245#121C23×C7111yescharacteristic
1246#121C23×C7111yescharacteristic
1247#121C23×C7111yescharacteristic
1248#121C23×C7111yescharacteristic
1249#121C23×C7111yescharacteristic
1250#121C23×C7111yescharacteristic
1251#121C23×C7111yescharacteristic
1252#121C23×C7111yescharacteristic
1253#121C23×C7111yescharacteristic
1254#120—21no—
1255#120—21no—
1256#120—21no—
1257#120—21no—
1258C4×Q8—21no—
1259C4×Q8C23×C7111yescharacteristic
1260C4×Q8C23×C7111yescharacteristic
1261C4×Q8C23×C7111yescharacteristic
1262C4×Q8C23×C7111yescharacteristic
1263C4×Q8C23×C7111yescharacteristic
1264C4×Q8C23×C7111yescharacteristic
1265C4×Q8C23×C7111yescharacteristic
1266C4×Q8C23×C7111yescharacteristic
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4—21no—
1282C4×D4—21no—
1283C4×D4—21no—
1284C4×D4—21no—
1285C4×D4—21no—
1286C4×D4C23×C7111yescharacteristic
1287C4×D4C23×C7111yescharacteristic
1288C4×D4C23×C7111yescharacteristic
1289C4×D4C23×C7111yescharacteristic
1290C4×D4C23×C7111yescharacteristic
1291C4×D4C23×C7111yescharacteristic
1292C4×D4C23×C7111yescharacteristic
1293C4×D4C23×C7111yescharacteristic
1294C4×D4C23×C7111yescharacteristic
1295C4×D4C23×C7111yescharacteristic
1296C4×D4C23×C7111yescharacteristic
1297C4×D4C23×C7111yescharacteristic
1298#117—21no—
1299#117—21no—
1300#117—21no—
1301#117—21no—
1302#117—21no—
1303#117C23×C7111yescharacteristic
1304#117C23×C7111yescharacteristic
1305#117C23×C7111yescharacteristic
1306C2×C4⋊C4—21no—
1307C2×C4⋊C4—21no—
1308C2×C4⋊C4—21no—
1309C2×C4⋊C4C23×C7111yescharacteristic
1310C2×C4⋊C4C23×C7111yescharacteristic
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C42—21no—
1314C2×C42C23×C7111yescharacteristic
1315#107C23×C7111yescharacteristic
1316#107C23×C7111yescharacteristic
1317#107C23×C7111yescharacteristic
1318#107C23×C7111yescharacteristic
1319#106C23×C7111yescharacteristic
1320#106C23×C7111yescharacteristic
1321#106C23×C7111yescharacteristic
1322#106C23×C7111yescharacteristic
1323C4⋊C8C23×C7111yescharacteristic
1324C4⋊C8C23×C7111yescharacteristic
1325C4⋊C8C23×C7111yescharacteristic
1326C4⋊C8C23×C7111yescharacteristic
1327C4⋊C8C23×C7111yescharacteristic
1328C4⋊C8C23×C7111yescharacteristic
1329C4⋊C8C23×C7111yescharacteristic
1330C4⋊C8C23×C7111yescharacteristic
1331C4⋊C8C23×C7111yescharacteristic
1332C4⋊C8C23×C7111yescharacteristic
1333#103C23×C7111yescharacteristic
1334#103C23×C7111yescharacteristic
1335#103C23×C7111yescharacteristic
1336#103C23×C7111yescharacteristic
1337#103C23×C7111yescharacteristic
1338#103C23×C7111yescharacteristic
1339#103C23×C7111yescharacteristic
1340#103C23×C7111yescharacteristic
1341#103C23×C7111yescharacteristic
1342#103C23×C7111yescharacteristic
1343#103C23×C7111yescharacteristic
1344#103C23×C7111yescharacteristic
1345#103C23×C7111yescharacteristic
1346#103C23×C7111yescharacteristic
1347#102C23×C7111yescharacteristic
1348#102C23×C7111yescharacteristic
1349#102C23×C7111yescharacteristic
1350#102C23×C7111yescharacteristic
1351#102C23×C7111yescharacteristic
1352#102C23×C7111yescharacteristic
1353#102C23×C7111yescharacteristic
1354#102C23×C7111yescharacteristic
1355#102C23×C7111yescharacteristic
1356#102C23×C7111yescharacteristic
1357#102C23×C7111yescharacteristic
1358#102C23×C7111yescharacteristic
1359#102C23×C7111yescharacteristic
1360#102C23×C7111yescharacteristic
1361#102C23×C7111yescharacteristic
1362#102C23×C7111yescharacteristic
1363#102C23×C7111yescharacteristic
1364#102C23×C7111yescharacteristic
1365C22⋊C8C23×C7111yescharacteristic
1366C22⋊C8C23×C7111yescharacteristic
1367C22⋊C8C23×C7111yescharacteristic
1368C22⋊C8C23×C7111yescharacteristic
1369C22⋊C8C23×C7111yescharacteristic
1370C22⋊C8C23×C7111yescharacteristic
1371#97C23×C7111yescharacteristic
1372#97C23×C7111yescharacteristic
1373#97C23×C7111yescharacteristic
1374#97C23×C7111yescharacteristic
1375C4×C8C23×C7111yescharacteristic
1376C4×C8C23×C7111yescharacteristic
1377C24—21no—
1378#41—22no—
1379#41—22no—
1380#41—22no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—41no—
1389#41—41no—
1390#41—41no—
1391#41—41no—
1392#41—82no—
1393#41—82no—
1394#41—82no—
1395C2×Q8—21no—
1396C2×Q8—21no—
1397C2×Q8—41no—
1398C2×Q8—41no—
1399C2×Q8C2×D4×C7111yescharacteristic
1400C2×Q8C24×C7111yescharacteristic
1401C2×Q8C24×C7111yescharacteristic
1402C2×Q8C24×C7111yescharacteristic
1403C2×Q8C24×C7111yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—41no—
1432C2×D4—41no—
1433C2×D4C2×D4×C7111yescharacteristic
1434C2×D4C2×D4×C7111yescharacteristic
1435C2×D4C2×D4×C7111yescharacteristic
1436C2×D4C24×C7111yescharacteristic
1437C2×D4C24×C7111yescharacteristic
1438C2×D4C24×C7111yescharacteristic
1439C2×D4C24×C7111yescharacteristic
1440C2×D4C24×C7111yescharacteristic
1441C2×D4C24×C7111yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—21no—
1460C22×C4—21no—
1461C22×C4C2×D4×C7111yescharacteristic
1462C22×C4C2×D4×C7111yescharacteristic
1463C22×C4C24×C7111yescharacteristic
1464C22×C4C24×C7111yescharacteristic
1465C22×C4C24×C7111yescharacteristic
1466Q16—22no—
1467Q16—22no—
1468Q16—22no—
1469SD16—22no—
1470SD16—22no—
1471SD16—22no—
1472SD16—41no—
1473SD16—41no—
1474SD16—41no—
1475SD16—41no—
1476SD16—41no—
1477SD16—41no—
1478SD16—41no—
1479SD16—41no—
1480SD16—41no—
1481D8—41no—
1482D8—41no—
1483D8—41no—
1484D8—41no—
1485D8—41no—
1486D8—41no—
1487D8—41no—
1488D8—41no—
1489D8—41no—
1490M16—41no—
1491M16—41no—
1492C2×C8—41no—
1493C2×C8—41no—
1494C2×C8—41no—
1495C2×C8—41no—
1496C2×C8C24×C7111yescharacteristic
1497C2×C8C24×C7111yescharacteristic
1498C2×C8C24×C7111yescharacteristic
1499C2×C8C24×C7111yescharacteristic
1500C2×C8C24×C7111yescharacteristic
1501C2×C8C24×C7111yescharacteristic
1502C2×C8C24×C7111yescharacteristic
1503C2×C8C24×C7111yescharacteristic
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4C2×D4×C7111yescharacteristic
1528C4⋊C4C2×D4×C7111yescharacteristic
1529C4⋊C4C2×D4×C7111yescharacteristic
1530C4⋊C4C2×D4×C7111yescharacteristic
1531C4⋊C4C2×D4×C7111yescharacteristic
1532C4⋊C4C2×D4×C7111yescharacteristic
1533C4⋊C4C2×D4×C7111yescharacteristic
1534C4⋊C4C2×D4×C7111yescharacteristic
1535C4⋊C4C2×D4×C7111yescharacteristic
1536C4⋊C4C2×D4×C7111yescharacteristic
1537C4⋊C4C24×C7111yescharacteristic
1538C4⋊C4C24×C7111yescharacteristic
1539C4⋊C4C24×C7111yescharacteristic
1540C4⋊C4C24×C7111yescharacteristic
1541C4⋊C4C24×C7111yescharacteristic
1542C4⋊C4C24×C7111yescharacteristic
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4C2×D4×C7111yescharacteristic
1576C22⋊C4C2×D4×C7111yescharacteristic
1577C22⋊C4C2×D4×C7111yescharacteristic
1578C22⋊C4C2×D4×C7111yescharacteristic
1579C22⋊C4C2×D4×C7111yescharacteristic
1580C22⋊C4C2×D4×C7111yescharacteristic
1581C22⋊C4C2×D4×C7111yescharacteristic
1582C22⋊C4C2×D4×C7111yescharacteristic
1583C22⋊C4C2×D4×C7111yescharacteristic
1584C22⋊C4C2×D4×C7111yescharacteristic
1585C42—21no—
1586C42—21no—
1587C42—21no—
1588C42—21no—
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—21no—
1593C42C2×D4×C7111yescharacteristic
1594C42C2×D4×C7111yescharacteristic
1595C42C24×C7111yescharacteristic
1596C42C24×C7111yescharacteristic
1597C42C24×C7111yescharacteristic
1598C42C24×C7111yescharacteristic
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—81no—
1606C23—81no—
1607C23—81no—
1608C23C22×D4×C7111yescharacteristic
1609C23C22×D4×C7111yescharacteristic
1610C23C22×D4×C7111yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—41no—
1619Q8—42no—
1620Q8—81no—
1621Q8H(5,𝔽2)×C7112yes—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—41no—
1635D4—41no—
1636D4—41no—
1637D4—42no—
1638D4—42no—
1639D4—42no—
1640D4—42no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—42no—
1683C2×C4—42no—
1684C2×C4—42no—
1685C2×C4—42no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—81no—
1696C2×C4—81no—
1697C2×C4—81no—
1698C2×C4—81no—
1699C2×C4—81no—
1700C2×C4—81no—
1701C2×C4C22×D4×C7111yescharacteristic
1702C2×C4C22×D4×C7111yescharacteristic
1703C2×C4C22×D4×C7111yescharacteristic
1704C2×C4C22×D4×C7111yescharacteristic
1705C2×C4C22×D4×C7111yescharacteristic
1706C2×C4C22×D4×C7111yescharacteristic
1707C2×C4C22×D4×C7111yescharacteristic
1708C2×C4C22×D4×C7111yescharacteristic
1709C2×C4C22×D4×C7111yescharacteristic
1710C2×C4C22×D4×C7111yescharacteristic
1711C2×C4C22×D4×C7111yescharacteristic
1712C2×C4C25×C7111yescharacteristic
1713C8—21no—
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—21no—
1720C8—21no—
1721C22—21no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—162no—
1749C22C23×D4×C7111yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—22no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4C2×H(5,𝔽2)×C7111yescharacteristic
1772C4#585×C7111yescharacteristic
1773C2—41no—
1774C2—41no—
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2C71×#348811yescharacteristic
1783C2C71×#358411yescharacteristic
1784C2C71×#358511yescharacteristic
subgroupG/H
center, socleC22×C71C23×D4
commutator, Frattini, cosocleC2×C4C25×C71
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C71 ◁ #529×C71 ◁ G

Complements

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

NH ≅ G/Ntype
1. C71×#3562C2semidirect
2. C71×#3517C2semidirect
3. C71×#3399C2semidirect
4. C71×#3397C2semidirect
5. C71×#3377C2semidirect
6. C71×#3371C2semidirect
7. C71×#3309C2semidirect
8. C71×#3308C2semidirect
9. C71×#3307C2semidirect
10. C71×#3306C2semidirect
11. C71×#3301C2semidirect
12. C71×#3297C2semidirect
13. C71×#3287C2semidirect
14. C71×#3284C2semidirect
15. C71×#3271C2semidirect
16. C71×#3271C2semidirect
17. C71×#3268C2semidirect
18. C71×#3268C2semidirect
19. C71×#3260C2semidirect
20. C71×#3259C2semidirect
21. C71×#3247C2semidirect
22. C71×#3221C2semidirect
23. C71×#3220C2semidirect
24. C71×#3214C2semidirect
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
47. #553×C71C22semidirect
53. #550×C71C22semidirect
54. #550×C71C22semidirect
68. #540×C71C22semidirect
76. #532×C71C22semidirect
81. #520×C71C22semidirect
82. C4×#41×C71C22semidirect
86. #496×C71C22semidirect
88. #492×C71C22semidirect
89. #491×C71C22semidirect
92. #489×C71C22semidirect
95. #485×C71C22semidirect
100. #480×C71C22semidirect
101. #479×C71C22semidirect
102. #479×C71C22semidirect
103. #479×C71C22semidirect
105. #478×C71C22semidirect
106. #478×C71C22semidirect
107. #478×C71C22semidirect
108. #478×C71C22semidirect
109. #477×C71C22semidirect
112. #469×C71C22semidirect
118. #466×C71C22semidirect
121. #465×C71C22semidirect
122. #465×C71C22semidirect
127. #464×C71C22semidirect
134. #463×C71C22semidirect
135. #462×C71C22semidirect
136. #462×C71C22semidirect
137. #461×C71C22semidirect
138. #461×C71C22semidirect
139. #461×C71C22semidirect
140. #461×C71C22semidirect
143. #460×C71C22semidirect
144. #460×C71C22semidirect
145. #460×C71C22semidirect
152. #459×C71C22semidirect
155. #452×C71C22semidirect
164. #449×C71C22semidirect
165. #449×C71C22semidirect
166. #449×C71C22semidirect
167. #448×C71C22semidirect
168. #448×C71C22semidirect
171. #446×C71C22semidirect
172. #446×C71C22semidirect
174. #442×C71C22semidirect
175. #441×C71C22semidirect
176. #441×C71C22semidirect
179. #440×C71C22semidirect
180. #440×C71C22semidirect
181. C4×Q16×C71C22semidirect
182. C4×SD16×C71C22semidirect
183. C4×SD16×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
880. #62014C71direct (N × H)
893. #3562C2×C71semidirect
894. #3517C2×C71semidirect
895. #3399C2×C71semidirect
896. #3397C2×C71semidirect
897. #3377C2×C71semidirect
898. #3371C2×C71semidirect
899. #3309C2×C71semidirect
900. #3308C2×C71semidirect
901. #3307C2×C71semidirect
902. #3306C2×C71semidirect
903. #3301C2×C71semidirect
904. #3297C2×C71semidirect
905. #3287C2×C71semidirect
906. #3284C2×C71semidirect
907. #3271C2×C71semidirect
908. #3271C2×C71semidirect
909. #3268C2×C71semidirect
910. #3268C2×C71semidirect
911. #3260C2×C71semidirect
912. #3259C2×C71semidirect
913. #3247C2×C71semidirect
914. #3221C2×C71semidirect
915. #3220C2×C71semidirect
916. #3214C2×C71semidirect
917. #3120C2×C71semidirect
918. #3119C2×C71semidirect
919. #3111C2×C71semidirect
920. #3046C2×C71semidirect
921. #3045C2×C71semidirect
922. #3035C2×C71semidirect
923. #2992C2×C71semidirect
924. C71#62014direct (N × H)
925. C2×#137C22×C71semidirect
930. C2×#135C22×C71semidirect
934. #557C22×C71semidirect
940. #553C22×C71semidirect
946. #550C22×C71semidirect
947. #550C22×C71semidirect
961. #540C22×C71semidirect
969. #532C22×C71semidirect
974. #520C22×C71semidirect
975. C4×#41C22×C71semidirect
979. #496C22×C71semidirect
981. #492C22×C71semidirect
982. #491C22×C71semidirect
985. #489C22×C71semidirect
988. #485C22×C71semidirect
993. #480C22×C71semidirect
994. #479C22×C71semidirect
995. #479C22×C71semidirect
996. #479C22×C71semidirect
998. #478C22×C71semidirect
999. #478C22×C71semidirect
1000. #478C22×C71semidirect
1001. #478C22×C71semidirect
1002. #477C22×C71semidirect
1005. #469C22×C71semidirect
1011. #466C22×C71semidirect
1014. #465C22×C71semidirect
1015. #465C22×C71semidirect
1020. #464C22×C71semidirect
1027. #463C22×C71semidirect
1028. #462C22×C71semidirect
1029. #462C22×C71semidirect
1030. #461C22×C71semidirect
1031. #461C22×C71semidirect
1032. #461C22×C71semidirect
1033. #461C22×C71semidirect
1036. #460C22×C71semidirect
1037. #460C22×C71semidirect
1038. #460C22×C71semidirect
1045. #459C22×C71semidirect
1048. #452C22×C71semidirect
1057. #449C22×C71semidirect
1058. #449C22×C71semidirect
1059. #449C22×C71semidirect
1060. #448C22×C71semidirect
1061. #448C22×C71semidirect
1064. #446C22×C71semidirect
1065. #446C22×C71semidirect
1067. #442C22×C71semidirect
1068. #441C22×C71semidirect
1069. #441C22×C71semidirect
1072. #440C22×C71semidirect
1073. #440C22×C71semidirect
1074. C4×Q16C22×C71semidirect
1075. C4×SD16C22×C71semidirect
1076. C4×SD16C22×C71semidirect
1081. #435C22×C71semidirect
1083. C8×D4C22×C71semidirect
1085. #433C22×C71semidirect
1086. #432C22×C71semidirect
1088. #424C22×C71semidirect
1089. C2×C4⋊C8C22×C71semidirect
1093. #416C22×C71semidirect
1094. 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×#35172
C71×#33992
C71×#33972
C71×#33772
C71×#33712
C71×#33092
C71×#33082
C71×#33072
C71×#33062
C71×#33012
C71×#32972
C71×#32872
C71×#32842
C71×#32712
C71×#32682
C71×#32602
C71×#32592
C71×#32472
C71×#32212
C71×#32202
C71×#32142
C71×#31202
C71×#31192
C71×#31112
C71×#30462
C71×#30452
C71×#30352
C71×#29922
#6201471