Finite Group Databasebeta

← C71×#61504 #31882376

Subgroups — C71×#61504 #31882376

Order 18176.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C71×#3524C211yesmaximal, characteristic, complemented
2C71×#3519C211yesmaximal, characteristic, complemented
3C71×#3399C211yesmaximal, characteristic, complemented
4C71×#3388C211yesmaximal, characteristic, complemented
5C71×#3370C211yesmaximal, characteristic, complemented
6C71×#3368C211yesmaximal, characteristic, complemented
7C71×#3351C211yesmaximal, characteristic, complemented
8C71×#3347C211yesmaximal, characteristic, complemented
9C71×#3347C211yesmaximal, characteristic, complemented
10C71×#3326C211yesmaximal, characteristic, complemented
11C71×#3325C211yesmaximal, characteristic, complemented
12C71×#3321C211yesmaximal, characteristic, complemented
13C71×#3318C211yesmaximal, characteristic, complemented
14C71×#3310C211yesmaximal, characteristic, complemented
15C71×#3309C211yesmaximal, characteristic, complemented
16C71×#3274C211yesmaximal, characteristic, complemented
17C71×#3265C211yesmaximal, characteristic, complemented
18C71×#3265C211yesmaximal, characteristic, complemented
19C71×#3179C211yesmaximal, characteristic, complemented
20C71×#3176C211yesmaximal, characteristic, complemented
21C71×#3171C211yesmaximal, characteristic, complemented
22C71×#3126C211yesmaximal, characteristic, complemented
23C71×#3122C211yesmaximal, characteristic, complemented
24C71×#3119C211yesmaximal, characteristic, complemented
25C71×#3118C211yesmaximal, characteristic, complemented
26C71×#3115C211yesmaximal, characteristic, complemented
27C71×#3114C211yesmaximal, characteristic, complemented
28C71×#2967C211yesmaximal, characteristic, complemented
29C71×#2949C211yesmaximal, characteristic, complemented
30C71×#2946C211yesmaximal, characteristic, complemented
31C4×AGL(1,ℤ/8)×C71C211yesmaximal, characteristic, complemented
32C2×AGL(1,ℤ/8)×C71C2211yescharacteristic
33C2×AGL(1,ℤ/8)×C71C2211yescharacteristic
34C22×SD16×C71C2211yescharacteristic
35#559×C71—21no—
36#559×C71C2211yescharacteristic, complemented
37#557×C71C2211yescharacteristic, complemented
38#555×C71—21no—
39#555×C71C2211yescharacteristic
40#555×C71C2211yescharacteristic, complemented
41#554×C71C2211yescharacteristic
42#553×C71—21no—
43#553×C71—21no—
44#553×C71C2211yescharacteristic
45#553×C71C2211yescharacteristic
46#553×C71C2211yescharacteristic, complemented
47#552×C71—21no—
48#552×C71C2211yescharacteristic, complemented
49#550×C71C2211yescharacteristic
50#550×C71C2211yescharacteristic, complemented
51#548×C71C2211yescharacteristic, complemented
52#548×C71C2211yescharacteristic, complemented
53#546×C71—21no—
54#546×C71—21no—
55#546×C71—21no—
56D42×C71C2211yescharacteristic
57D42×C71C2211yescharacteristic
58D42×C71C2211yescharacteristic
59#542×C71—21no—
60#542×C71C2211yescharacteristic, complemented
61#540×C71—21no—
62#540×C71C2211yescharacteristic
63#540×C71C2211yescharacteristic
64#540×C71C2211yescharacteristic, complemented
65#538×C71—21no—
66#538×C71—21no—
67#532×C71C2211yescharacteristic
68#529×C71—21no—
69#529×C71—21no—
70#529×C71C2211yescharacteristic
71#529×C71C2211yescharacteristic, complemented
72#525×C71—21no—
73C2×#121×C71—21no—
74#520×C71C2211yescharacteristic, complemented
75#519×C71C2211yescharacteristic, complemented
76#518×C71C2211yescharacteristic
77#518×C71C2211yescharacteristic
78C4×#41×C71C2211yescharacteristic, complemented
79C2×C4×D4×C71C2211yescharacteristic
80#501×C71C2211yescharacteristic, complemented
81#501×C71C2211yescharacteristic, complemented
82#499×C71C2211yescharacteristic, complemented
83#496×C71C2211yescharacteristic, complemented
84#496×C71C2211yescharacteristic, complemented
85#493×C71C2211yescharacteristic, complemented
86#490×C71C2211yescharacteristic, complemented
87#490×C71C2211yescharacteristic, complemented
88#490×C71C2211yescharacteristic, complemented
89#489×C71C2211yescharacteristic, complemented
90#488×C71C2211yescharacteristic, complemented
91#486×C71C2211yescharacteristic, complemented
92#485×C71C2211yescharacteristic, complemented
93#483×C71C2211yescharacteristic, complemented
94#482×C71C2211yescharacteristic, complemented
95#482×C71C2211yescharacteristic, complemented
96#482×C71C2211yescharacteristic, complemented
97#482×C71C2211yescharacteristic, complemented
98#482×C71C2211yescharacteristic, complemented
99#482×C71C2211yescharacteristic, complemented
100#482×C71C2211yescharacteristic, complemented
101#481×C71C2211yescharacteristic, complemented
102#480×C71C2211yescharacteristic, complemented
103#480×C71C2211yescharacteristic, complemented
104#479×C71C2211yescharacteristic, complemented
105#479×C71C2211yescharacteristic, complemented
106#479×C71C2211yescharacteristic, complemented
107#478×C71C2211yescharacteristic
108#478×C71C2211yescharacteristic
109#478×C71C2211yescharacteristic, complemented
110#478×C71C2211yescharacteristic, complemented
111#478×C71C2211yescharacteristic, complemented
112#476×C71C2211yescharacteristic
113#475×C71C2211yescharacteristic, complemented
114#474×C71C2211yescharacteristic, complemented
115#474×C71C2211yescharacteristic, complemented
116#469×C71C2211yescharacteristic, complemented
117#469×C71C2211yescharacteristic, complemented
118#469×C71C2211yescharacteristic, complemented
119#469×C71C2211yescharacteristic, complemented
120#469×C71C2211yescharacteristic, complemented
121#468×C71C2211yescharacteristic, complemented
122#468×C71C2211yescharacteristic, complemented
123#468×C71C2211yescharacteristic, complemented
124#466×C71C2211yescharacteristic, complemented
125#466×C71C2211yescharacteristic, complemented
126#466×C71C2211yescharacteristic, complemented
127#465×C71C2211yescharacteristic, complemented
128#463×C71C2211yescharacteristic
129#463×C71C2211yescharacteristic
130#463×C71C2211yescharacteristic, complemented
131#463×C71C2211yescharacteristic, complemented
132#460×C71C2211yescharacteristic, complemented
133#460×C71C2211yescharacteristic, complemented
134#460×C71C2211yescharacteristic, complemented
135#460×C71C2211yescharacteristic, complemented
136#459×C71C2211yescharacteristic
137#459×C71C2211yescharacteristic, complemented
138#459×C71C2211yescharacteristic, complemented
139#459×C71C2211yescharacteristic, complemented
140#450×C71C2211yescharacteristic
141#450×C71C2211yescharacteristic
142#449×C71C2211yescharacteristic, complemented
143#449×C71C2211yescharacteristic, complemented
144#449×C71C2211yescharacteristic, complemented
145#449×C71C2211yescharacteristic, complemented
146#448×C71C2211yescharacteristic, complemented
147#448×C71C2211yescharacteristic, complemented
148#447×C71C2211yescharacteristic
149#447×C71C2211yescharacteristic
150#447×C71C2211yescharacteristic
151#447×C71C2211yescharacteristic
152#446×C71C2211yescharacteristic, complemented
153#446×C71C2211yescharacteristic, complemented
154#442×C71C2211yescharacteristic
155#442×C71C2211yescharacteristic
156#442×C71C2211yescharacteristic, complemented
157#442×C71C2211yescharacteristic, complemented
158#442×C71C2211yescharacteristic, complemented
159#442×C71C2211yescharacteristic, complemented
160#442×C71C2211yescharacteristic, complemented
161#440×C71C2211yescharacteristic
162#440×C71C2211yescharacteristic
163#440×C71C2211yescharacteristic
164#440×C71C2211yescharacteristic
165#440×C71C2211yescharacteristic, complemented
166#440×C71C2211yescharacteristic, complemented
167#440×C71C2211yescharacteristic, complemented
168#440×C71C2211yescharacteristic, complemented
169#440×C71C2211yescharacteristic, complemented
170C4×SD16×C71C2211yescharacteristic
171C4×SD16×C71C2211yescharacteristic
172C4×SD16×C71C2211yescharacteristic, complemented
173C4×SD16×C71C2211yescharacteristic, complemented
174C4×SD16×C71C2211yescharacteristic, complemented
175C4×SD16×C71C2211yescharacteristic, complemented
176C4×SD16×C71C2211yescharacteristic, complemented
177C4×D8×C71C2211yescharacteristic
178C4×D8×C71C2211yescharacteristic
179C4×D8×C71C2211yescharacteristic, complemented
180C4×D8×C71C2211yescharacteristic, complemented
181C4×D8×C71C2211yescharacteristic, complemented
182#436×C71C2211yescharacteristic, complemented
183#436×C71C2211yescharacteristic, complemented
184#435×C71C2211yescharacteristic, complemented
185#435×C71C2211yescharacteristic, complemented
186#435×C71C2211yescharacteristic, complemented
187#435×C71C2211yescharacteristic, complemented
188#433×C71C2211yescharacteristic, complemented
189#433×C71C2211yescharacteristic, complemented
190#432×C71C2211yescharacteristic, complemented
191#428×C71C2211yescharacteristic, complemented
192#428×C71C2211yescharacteristic, complemented
193#427×C71C2211yescharacteristic, complemented
194#419×C71C2211yescharacteristic, complemented
195#418×C71C2211yescharacteristic
196#418×C71C2211yescharacteristic
197#417×C71C2211yescharacteristic, complemented
198#416×C71C2211yescharacteristic, complemented
199C2×#102×C71C2211yescharacteristic
200#405×C71C2211yescharacteristic, complemented
201#405×C71C2211yescharacteristic, complemented
202C4×M16×C71C2211yescharacteristic, complemented
203C2×#41×C71—21no—
204C2×#41×C71—21no—
205C2×#41×C71C2311yescharacteristic
206C2×#41×C71C2311yescharacteristic
207C22×Q8×C71C2311yescharacteristic
208C22×D4×C71—21no—
209C22×D4×C71—21no—
210C22×D4×C71—21no—
211C22×D4×C71C2311yescharacteristic
212C22×D4×C71C2311yescharacteristic
213C22×D4×C71C2311yescharacteristic
214C23×C4×C71—21no—
215AGL(1,ℤ/8)×C71—24no—
216AGL(1,ℤ/8)×C71—24no—
217C2×SD16×C71—24no—
218C2×SD16×C71C2311yescharacteristic
219C2×SD16×C71C2311yescharacteristic
220C2×SD16×C71C2311yescharacteristic
221C2×SD16×C71C2311yescharacteristic
222C2×SD16×C71C2311yescharacteristic
223C2×SD16×C71C2311yescharacteristic
224C2×SD16×C71C2311yescharacteristic
225C2×SD16×C71C2311yescharacteristic
226C2×D8×C71C2311yescharacteristic
227C2×D8×C71C2311yescharacteristic
228C2×D8×C71C2311yescharacteristic
229C2×D8×C71C2311yescharacteristic
230C2×D8×C71C2311yescharacteristic
231C2×D8×C71C2311yescharacteristic
232C2×D8×C71C2311yescharacteristic
233C2×D8×C71C2311yescharacteristic
234C2×M16×C71C2311yescharacteristic
235C2×M16×C71C2311yescharacteristic
236C2×M16×C71C2311yescharacteristic
237C2×M16×C71C2311yescharacteristic
238C22×C8×C71C2311yescharacteristic
239C22×C8×C71C2311yescharacteristic
240C4⋊Q8×C71—21no—
241C4⋊Q8×C71C2311yescharacteristic
242C4⋊Q8×C71C2311yescharacteristic
243#127×C71—21no—
244#127×C71C2311yescharacteristic
245#127×C71C2311yescharacteristic
246#127×C71C2311yescharacteristic
247#127×C71C2311yescharacteristic
248#126×C71—21no—
249#126×C71—21no—
250#126×C71—21no—
251#126×C71—21no—
252#126×C71—21no—
253#126×C71—21no—
254#126×C71D411yescharacteristic
255#126×C71D411yescharacteristic
256#125×C71—21no—
257#125×C71—21no—
258#125×C71—21no—
259#125×C71D411yescharacteristic
260#125×C71C2311yescharacteristic
261#125×C71C2311yescharacteristic
262#125×C71C2311yescharacteristic
263#125×C71C2311yescharacteristic
264#124×C71—21no—
265#124×C71—21no—
266#124×C71—21no—
267#124×C71—21no—
268#124×C71—21no—
269#124×C71—21no—
270#124×C71—21no—
271#124×C71—21no—
272#124×C71—21no—
273#124×C71D411yescharacteristic
274#124×C71C2311yescharacteristic
275#124×C71C2311yescharacteristic
276#123×C71—21no—
277#123×C71—21no—
278#123×C71—21no—
279#123×C71—21no—
280#123×C71—21no—
281#123×C71—21no—
282#123×C71—21no—
283#123×C71—21no—
284#123×C71—21no—
285#123×C71—21no—
286#123×C71—21no—
287#123×C71—21no—
288#123×C71—21no—
289#123×C71—21no—
290#123×C71D411yescharacteristic
291#123×C71D411yescharacteristic
292C22⋊Q8×C71—21no—
293C22⋊Q8×C71—21no—
294C22⋊Q8×C71—21no—
295C22⋊Q8×C71—21no—
296C22⋊Q8×C71—21no—
297C22⋊Q8×C71—21no—
298C22⋊Q8×C71D411yescharacteristic
299C22⋊Q8×C71C2311yescharacteristic
300C22⋊Q8×C71C2311yescharacteristic
301#121×C71—21no—
302#121×C71—21no—
303#121×C71—21no—
304#121×C71—21no—
305#121×C71—21no—
306#121×C71—21no—
307#121×C71—21no—
308#121×C71—21no—
309#121×C71—21no—
310#121×C71—21no—
311#121×C71—21no—
312#121×C71—21no—
313#121×C71—21no—
314#121×C71—21no—
315#121×C71—21no—
316#121×C71—21no—
317#121×C71—21no—
318#121×C71—21no—
319#121×C71—21no—
320#121×C71—21no—
321#121×C71—21no—
322#121×C71—21no—
323#121×C71D411yescharacteristic
324#121×C71C2311yescharacteristic
325#121×C71C2311yescharacteristic
326#121×C71C2311yescharacteristic
327#121×C71C2311yescharacteristic
328#121×C71C2311yescharacteristic
329#121×C71C2311yescharacteristic
330#121×C71C2311yescharacteristic
331#121×C71C2311yescharacteristic
332#121×C71C2311yescharacteristic
333#121×C71C2311yescharacteristic
334#120×C71—21no—
335#120×C71—21no—
336#120×C71—21no—
337#120×C71—21no—
338#120×C71—21no—
339#120×C71—21no—
340C4×Q8×C71—21no—
341C4×Q8×C71—21no—
342C4×Q8×C71—21no—
343C4×Q8×C71C2311yescharacteristic
344C4×Q8×C71C2311yescharacteristic
345C4×Q8×C71C2311yescharacteristic
346C4×Q8×C71C2311yescharacteristic
347C4×Q8×C71C2311yescharacteristic
348C4×Q8×C71C2311yescharacteristic
349C4×Q8×C71C2311yescharacteristic
350C4×D4×C71—21no—
351C4×D4×C71—21no—
352C4×D4×C71—21no—
353C4×D4×C71—21no—
354C4×D4×C71—21no—
355C4×D4×C71—21no—
356C4×D4×C71—21no—
357C4×D4×C71—21no—
358C4×D4×C71—21no—
359C4×D4×C71—21no—
360C4×D4×C71—21no—
361C4×D4×C71—21no—
362C4×D4×C71—21no—
363C4×D4×C71—21no—
364C4×D4×C71—21no—
365C4×D4×C71—21no—
366C4×D4×C71—21no—
367C4×D4×C71—21no—
368C4×D4×C71—21no—
369C4×D4×C71C2311yescharacteristic
370C4×D4×C71C2311yescharacteristic
371C4×D4×C71C2311yescharacteristic
372C4×D4×C71C2311yescharacteristic
373C4×D4×C71C2311yescharacteristic
374C4×D4×C71C2311yescharacteristic
375C4×D4×C71C2311yescharacteristic
376C4×D4×C71C2311yescharacteristic
377C4×D4×C71C2311yescharacteristic
378C4×D4×C71C2311yescharacteristic
379C4×D4×C71C2311yescharacteristic
380C4×D4×C71C2311yescharacteristic
381C4×D4×C71C2311yescharacteristic
382C4×D4×C71C2311yescharacteristic
383C4×D4×C71C2311yescharacteristic
384C4×D4×C71C2311yescharacteristic
385C4×D4×C71C2311yescharacteristic
386#117×C71—21no—
387#117×C71—21no—
388#117×C71—21no—
389#117×C71—21no—
390#117×C71—21no—
391#117×C71—21no—
392#117×C71—21no—
393#117×C71—21no—
394#117×C71C2311yescharacteristic
395#117×C71C2311yescharacteristic
396#117×C71C2311yescharacteristic
397#117×C71C2311yescharacteristic
398#117×C71C2311yescharacteristic
399#117×C71C2311yescharacteristic
400C2×C4⋊C4×C71—21no—
401C2×C4⋊C4×C71—21no—
402C2×C4⋊C4×C71C2311yescharacteristic
403C2×C4⋊C4×C71C2311yescharacteristic
404C2×C22⋊C4×C71—21no—
405C2×C22⋊C4×C71—21no—
406C2×C22⋊C4×C71—21no—
407C2×C22⋊C4×C71—21no—
408C2×C22⋊C4×C71—21no—
409C2×C42×C71—21no—
410C2×C42×C71C2311yescharacteristic
411#107×C71C2311yescharacteristic
412#107×C71C2311yescharacteristic
413#107×C71C2311yescharacteristic
414#107×C71C2311yescharacteristic
415#107×C71C2311yescharacteristic
416#107×C71C2311yescharacteristic
417#107×C71C2311yescharacteristic
418#107×C71C2311yescharacteristic
419#106×C71C2311yescharacteristic
420#106×C71C2311yescharacteristic
421#106×C71C2311yescharacteristic
422#106×C71C2311yescharacteristic
423#106×C71C2311yescharacteristic
424#106×C71C2311yescharacteristic
425#106×C71C2311yescharacteristic
426#106×C71C2311yescharacteristic
427C4⋊C8×C71C2311yescharacteristic
428C4⋊C8×C71C2311yescharacteristic
429C4⋊C8×C71C2311yescharacteristic
430C4⋊C8×C71C2311yescharacteristic
431C4⋊C8×C71C2311yescharacteristic
432C4⋊C8×C71C2311yescharacteristic
433#103×C71C2311yescharacteristic
434#103×C71C2311yescharacteristic
435#103×C71C2311yescharacteristic
436#103×C71C2311yescharacteristic
437#103×C71C2311yescharacteristic
438#103×C71C2311yescharacteristic
439#103×C71C2311yescharacteristic
440#103×C71C2311yescharacteristic
441#102×C71C2311yescharacteristic
442#102×C71C2311yescharacteristic
443#102×C71C2311yescharacteristic
444#102×C71C2311yescharacteristic
445#102×C71C2311yescharacteristic
446#102×C71C2311yescharacteristic
447#102×C71C2311yescharacteristic
448#102×C71C2311yescharacteristic
449#102×C71C2311yescharacteristic
450#102×C71C2311yescharacteristic
451#102×C71C2311yescharacteristic
452#102×C71C2311yescharacteristic
453#102×C71C2311yescharacteristic
454#102×C71C2311yescharacteristic
455#102×C71C2311yescharacteristic
456#102×C71C2311yescharacteristic
457#102×C71C2311yescharacteristic
458#102×C71C2311yescharacteristic
459#102×C71C2311yescharacteristic
460#102×C71C2311yescharacteristic
461#102×C71C2311yescharacteristic
462#102×C71C2311yescharacteristic
463#102×C71C2311yescharacteristic
464#102×C71C2311yescharacteristic
465C22⋊C8×C71C2311yescharacteristic
466C22⋊C8×C71C2311yescharacteristic
467C22⋊C8×C71C2311yescharacteristic
468C22⋊C8×C71C2311yescharacteristic
469C22⋊C8×C71C2311yescharacteristic
470C22⋊C8×C71C2311yescharacteristic
471#97×C71C2311yescharacteristic
472#97×C71C2311yescharacteristic
473#97×C71C2311yescharacteristic
474#97×C71C2311yescharacteristic
475#97×C71C2311yescharacteristic
476#97×C71C2311yescharacteristic
477C4×C8×C71C2311yescharacteristic
478C4×C8×C71C2311yescharacteristic
479C4×C8×C71C2311yescharacteristic
480C4×C8×C71C2311yescharacteristic
481C24×C71—21no—
482C24×C71—21no—
483C24×C71—21no—
484#41×C71—22no—
485#41×C71—22no—
486#41×C71—41no—
487#41×C71—41no—
488#41×C71—82no—
489#41×C71—82no—
490C2×Q8×C71—21no—
491C2×Q8×C71—21no—
492C2×Q8×C71—21no—
493C2×Q8×C71—22no—
494C2×Q8×C71—41no—
495C2×Q8×C71C2×D411yescharacteristic
496C2×Q8×C71C2411yescharacteristic
497C2×Q8×C71C2411yescharacteristic
498C2×D4×C71—22no—
499C2×D4×C71—22no—
500C2×D4×C71—22no—
501C2×D4×C71—21no—
502C2×D4×C71—21no—
503C2×D4×C71—21no—
504C2×D4×C71—21no—
505C2×D4×C71—21no—
506C2×D4×C71—21no—
507C2×D4×C71—21no—
508C2×D4×C71—21no—
509C2×D4×C71—21no—
510C2×D4×C71—21no—
511C2×D4×C71—21no—
512C2×D4×C71—21no—
513C2×D4×C71—21no—
514C2×D4×C71—21no—
515C2×D4×C71—21no—
516C2×D4×C71—21no—
517C2×D4×C71—21no—
518C2×D4×C71—21no—
519C2×D4×C71—21no—
520C2×D4×C71—21no—
521C2×D4×C71—21no—
522C2×D4×C71—21no—
523C2×D4×C71—21no—
524C2×D4×C71—41no—
525C2×D4×C71—41no—
526C2×D4×C71—41no—
527C2×D4×C71—82no—
528C2×D4×C71—82no—
529C2×D4×C71—82no—
530C2×D4×C71C2×D411yescharacteristic
531C2×D4×C71C2×D411yescharacteristic
532C2×D4×C71C2×D411yescharacteristic
533C2×D4×C71C2411yescharacteristic
534C2×D4×C71C2411yescharacteristic
535C2×D4×C71C2411yescharacteristic
536C2×D4×C71C2411yescharacteristic
537C2×D4×C71C2411yescharacteristic
538C2×D4×C71C2411yescharacteristic
539C22×C4×C71—21no—
540C22×C4×C71—21no—
541C22×C4×C71—21no—
542C22×C4×C71—21no—
543C22×C4×C71—21no—
544C22×C4×C71—21no—
545C22×C4×C71—21no—
546C22×C4×C71—21no—
547C22×C4×C71—21no—
548C22×C4×C71—21no—
549C22×C4×C71—21no—
550C22×C4×C71—21no—
551C22×C4×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—82no—
559C22×C4×C71C2×D411yescharacteristic
560C22×C4×C71C2×D411yescharacteristic
561C22×C4×C71C2411yescharacteristic
562C22×C4×C71C2411yescharacteristic
563C22×C4×C71C2411yescharacteristic
564SD16×C71—22no—
565SD16×C71—22no—
566SD16×C71—22no—
567SD16×C71—22no—
568SD16×C71—22no—
569SD16×C71—41no—
570SD16×C71—41no—
571SD16×C71#4114yescomplemented
572D8×C71—22no—
573D8×C71—22no—
574D8×C71—22no—
575D8×C71—22no—
576D8×C71—41no—
577D8×C71—41no—
578D8×C71—41no—
579D8×C71—41no—
580M16×C71—22no—
581M16×C71—22no—
582M16×C71—41no—
583M16×C71—41no—
584C2×C8×C71—22no—
585C2×C8×C71—41no—
586C2×C8×C71C2411yescharacteristic
587C2×C8×C71C2411yescharacteristic
588C2×C8×C71C2411yescharacteristic
589C2×C8×C71C2411yescharacteristic
590C2×C8×C71C2411yescharacteristic
591C2×C8×C71C2411yescharacteristic
592C2×C8×C71C2411yescharacteristic
593C2×C8×C71C2411yescharacteristic
594C4⋊C4×C71—21no—
595C4⋊C4×C71—21no—
596C4⋊C4×C71—21no—
597C4⋊C4×C71—21no—
598C4⋊C4×C71—21no—
599C4⋊C4×C71—21no—
600C4⋊C4×C71—21no—
601C4⋊C4×C71—21no—
602C4⋊C4×C71—21no—
603C4⋊C4×C71—21no—
604C4⋊C4×C71—21no—
605C4⋊C4×C71—21no—
606C4⋊C4×C71—21no—
607C4⋊C4×C71—21no—
608C4⋊C4×C71—21no—
609C4⋊C4×C71—21no—
610C4⋊C4×C71—21no—
611C4⋊C4×C71—21no—
612C4⋊C4×C71—21no—
613C4⋊C4×C71—21no—
614C4⋊C4×C71C2×D411yescharacteristic
615C4⋊C4×C71C2×D411yescharacteristic
616C4⋊C4×C71C2×D411yescharacteristic
617C4⋊C4×C71C2×D411yescharacteristic
618C4⋊C4×C71C2×D411yescharacteristic
619C4⋊C4×C71C2×D411yescharacteristic
620C4⋊C4×C71C2×D411yescharacteristic
621C4⋊C4×C71C2×D411yescharacteristic
622C4⋊C4×C71C2×D411yescharacteristic
623C4⋊C4×C71C2×D411yescharacteristic
624C4⋊C4×C71C2411yescharacteristic
625C4⋊C4×C71C2411yescharacteristic
626C4⋊C4×C71C2411yescharacteristic
627C4⋊C4×C71C2411yescharacteristic
628C4⋊C4×C71C2411yescharacteristic
629C4⋊C4×C71C2411yescharacteristic
630C4⋊C4×C71C2411yescharacteristic
631C4⋊C4×C71C2411yescharacteristic
632C22⋊C4×C71—21no—
633C22⋊C4×C71—21no—
634C22⋊C4×C71—21no—
635C22⋊C4×C71—21no—
636C22⋊C4×C71—21no—
637C22⋊C4×C71—21no—
638C22⋊C4×C71—21no—
639C22⋊C4×C71—21no—
640C22⋊C4×C71—21no—
641C22⋊C4×C71—21no—
642C22⋊C4×C71—21no—
643C22⋊C4×C71—21no—
644C22⋊C4×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×C71C2×D411yescharacteristic
667C22⋊C4×C71C2×D411yescharacteristic
668C22⋊C4×C71C2×D411yescharacteristic
669C22⋊C4×C71C2×D411yescharacteristic
670C22⋊C4×C71C2×D411yescharacteristic
671C22⋊C4×C71C2×D411yescharacteristic
672C22⋊C4×C71C2×D411yescharacteristic
673C22⋊C4×C71C2×D411yescharacteristic
674C22⋊C4×C71C2×D411yescharacteristic
675C22⋊C4×C71C2×D411yescharacteristic
676C42×C71—21no—
677C42×C71—21no—
678C42×C71—21no—
679C42×C71—21no—
680C42×C71—21no—
681C42×C71—21no—
682C42×C71—21no—
683C42×C71—21no—
684C42×C71—21no—
685C42×C71—21no—
686C42×C71C2×D411yescharacteristic
687C42×C71C2×D411yescharacteristic
688C42×C71C2411yescharacteristic
689C42×C71C2411yescharacteristic
690C42×C71C2411yescharacteristic
691C42×C71C2411yescharacteristic
692C23×C71—21no—
693C23×C71—21no—
694C23×C71—21no—
695C23×C71—21no—
696C23×C71—21no—
697C23×C71—21no—
698C23×C71—42no—
699C23×C71—42no—
700C23×C71—42no—
701C23×C71—42no—
702C23×C71—81no—
703C23×C71—81no—
704C23×C71—81no—
705C23×C71—81no—
706C23×C71—81no—
707C23×C71C22×D411yescharacteristic
708C23×C71C22×D411yescharacteristic
709C23×C71C22×D411yescharacteristic
710Q8×C71—21no—
711Q8×C71—21no—
712Q8×C71—21no—
713Q8×C71—41no—
714Q8×C71—42no—
715Q8×C71—81no—
716Q8×C71—81no—
717Q8×C71C2×#4112yes—
718D4×C71—21no—
719D4×C71—21no—
720D4×C71—21no—
721D4×C71—21no—
722D4×C71—21no—
723D4×C71—21no—
724D4×C71—21no—
725D4×C71—21no—
726D4×C71—21no—
727D4×C71—21no—
728D4×C71—21no—
729D4×C71—41no—
730D4×C71—41no—
731D4×C71—41no—
732D4×C71—42no—
733D4×C71—42no—
734D4×C71—42no—
735D4×C71—42no—
736D4×C71—42no—
737D4×C71—42no—
738D4×C71—42no—
739D4×C71—42no—
740D4×C71—81no—
741D4×C71—81no—
742D4×C71—81no—
743D4×C71—81no—
744D4×C71—81no—
745D4×C71—81no—
746D4×C71—81no—
747D4×C71—81no—
748D4×C71—81no—
749D4×C71—81no—
750D4×C71—81no—
751D4×C71—81no—
752D4×C71—81no—
753D4×C71—81no—
754D4×C71—81no—
755D4×C71C2×#4112yes—
756C2×C4×C71—21no—
757C2×C4×C71—21no—
758C2×C4×C71—21no—
759C2×C4×C71—21no—
760C2×C4×C71—21no—
761C2×C4×C71—21no—
762C2×C4×C71—21no—
763C2×C4×C71—21no—
764C2×C4×C71—21no—
765C2×C4×C71—21no—
766C2×C4×C71—21no—
767C2×C4×C71—21no—
768C2×C4×C71—21no—
769C2×C4×C71—21no—
770C2×C4×C71—21no—
771C2×C4×C71—21no—
772C2×C4×C71—41no—
773C2×C4×C71—41no—
774C2×C4×C71—42no—
775C2×C4×C71—42no—
776C2×C4×C71—42no—
777C2×C4×C71—42no—
778C2×C4×C71—42no—
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×C71—81no—
792C2×C4×C71—81no—
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×C71C22×D411yescharacteristic
803C2×C4×C71C22×D411yescharacteristic
804C2×C4×C71C2511yescharacteristic
805C8×C71—21no—
806C8×C71—21no—
807C8×C71—21no—
808C8×C71—21no—
809C8×C71—21no—
810C8×C71—21no—
811C8×C71—21no—
812C8×C71C2×#4112yes—
813C22×C71—21no—
814C22×C71—21no—
815C22×C71—21no—
816C22×C71—21no—
817C22×C71—21no—
818C22×C71—21no—
819C22×C71—21no—
820C22×C71—21no—
821C22×C71—21no—
822C22×C71—22no—
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—41no—
833C22×C71—41no—
834C22×C71—41no—
835C22×C71—41no—
836C22×C71—41no—
837C22×C71—41no—
838C22×C71—41no—
839C22×C71—41no—
840C22×C71—84no—
841C22×C71—162no—
842C22×C71—162no—
843C22×C71C23×D411yescharacteristic
844C4×C71—21no—
845C4×C71—21no—
846C4×C71—21no—
847C4×C71—21no—
848C4×C71—21no—
849C4×C71—21no—
850C4×C71—21no—
851C4×C71—21no—
852C4×C71—21no—
853C4×C71—21no—
854C4×C71—21no—
855C4×C71—22no—
856C4×C71—41no—
857C4×C71—41no—
858C4×C71—41no—
859C4×C71—41no—
860C4×C71—41no—
861C4×C71—41no—
862C4×C71—41no—
863C4×C71—41no—
864C4×C71—41no—
865C4×C71C22×#4111yescharacteristic
866C4×C71#58511yescharacteristic
867#61504C7111yesmaximal, characteristic, direct product factor, Sylow
868C2×C71—41no—
869C2×C71—41no—
870C2×C71—41no—
871C2×C71—42no—
872C2×C71—81no—
873C2×C71—81no—
874C2×C71—81no—
875C2×C71—81no—
876C2×C71—81no—
877C2×C71D4×#4111yescharacteristic
878C2×C71#358511yescharacteristic
879C2×C71#358511yescharacteristic
880#3524C2×C7111yescharacteristic, complemented
881#3519C2×C7111yescharacteristic, complemented
882#3399C2×C7111yescharacteristic, complemented
883#3388C2×C7111yescharacteristic, complemented
884#3370C2×C7111yescharacteristic, complemented
885#3368C2×C7111yescharacteristic, complemented
886#3351C2×C7111yescharacteristic, complemented
887#3347C2×C7111yescharacteristic, complemented
888#3347C2×C7111yescharacteristic, complemented
889#3326C2×C7111yescharacteristic, complemented
890#3325C2×C7111yescharacteristic, complemented
891#3321C2×C7111yescharacteristic, complemented
892#3318C2×C7111yescharacteristic, complemented
893#3310C2×C7111yescharacteristic, complemented
894#3309C2×C7111yescharacteristic, complemented
895#3274C2×C7111yescharacteristic, complemented
896#3265C2×C7111yescharacteristic, complemented
897#3265C2×C7111yescharacteristic, complemented
898#3179C2×C7111yescharacteristic, complemented
899#3176C2×C7111yescharacteristic, complemented
900#3171C2×C7111yescharacteristic, complemented
901#3126C2×C7111yescharacteristic, complemented
902#3122C2×C7111yescharacteristic, complemented
903#3119C2×C7111yescharacteristic, complemented
904#3118C2×C7111yescharacteristic, complemented
905#3115C2×C7111yescharacteristic, complemented
906#3114C2×C7111yescharacteristic, complemented
907#2967C2×C7111yescharacteristic, complemented
908#2949C2×C7111yescharacteristic, complemented
909#2946C2×C7111yescharacteristic, complemented
910C4×AGL(1,ℤ/8)C2×C7111yescharacteristic, complemented
911C71#6150411yescharacteristic, direct product factor, Sylow
912C2×AGL(1,ℤ/8)C22×C7111yescharacteristic
913C2×AGL(1,ℤ/8)C22×C7111yescharacteristic
914C22×SD16C22×C7111yescharacteristic
915#559—21no—
916#559C22×C7111yescharacteristic, complemented
917#557C22×C7111yescharacteristic, complemented
918#555—21no—
919#555C22×C7111yescharacteristic
920#555C22×C7111yescharacteristic, complemented
921#554C22×C7111yescharacteristic
922#553—21no—
923#553—21no—
924#553C22×C7111yescharacteristic
925#553C22×C7111yescharacteristic
926#553C22×C7111yescharacteristic, complemented
927#552—21no—
928#552C22×C7111yescharacteristic, complemented
929#550C22×C7111yescharacteristic
930#550C22×C7111yescharacteristic, complemented
931#548C22×C7111yescharacteristic, complemented
932#548C22×C7111yescharacteristic, complemented
933#546—21no—
934#546—21no—
935#546—21no—
936D42C22×C7111yescharacteristic
937D42C22×C7111yescharacteristic
938D42C22×C7111yescharacteristic
939#542—21no—
940#542C22×C7111yescharacteristic, complemented
941#540—21no—
942#540C22×C7111yescharacteristic
943#540C22×C7111yescharacteristic
944#540C22×C7111yescharacteristic, complemented
945#538—21no—
946#538—21no—
947#532C22×C7111yescharacteristic
948#529—21no—
949#529—21no—
950#529C22×C7111yescharacteristic
951#529C22×C7111yescharacteristic, complemented
952#525—21no—
953C2×#121—21no—
954#520C22×C7111yescharacteristic, complemented
955#519C22×C7111yescharacteristic, complemented
956#518C22×C7111yescharacteristic
957#518C22×C7111yescharacteristic
958C4×#41C22×C7111yescharacteristic, complemented
959C2×C4×D4C22×C7111yescharacteristic
960#501C22×C7111yescharacteristic, complemented
961#501C22×C7111yescharacteristic, complemented
962#499C22×C7111yescharacteristic, complemented
963#496C22×C7111yescharacteristic, complemented
964#496C22×C7111yescharacteristic, complemented
965#493C22×C7111yescharacteristic, complemented
966#490C22×C7111yescharacteristic, complemented
967#490C22×C7111yescharacteristic, complemented
968#490C22×C7111yescharacteristic, complemented
969#489C22×C7111yescharacteristic, complemented
970#488C22×C7111yescharacteristic, complemented
971#486C22×C7111yescharacteristic, complemented
972#485C22×C7111yescharacteristic, complemented
973#483C22×C7111yescharacteristic, complemented
974#482C22×C7111yescharacteristic, complemented
975#482C22×C7111yescharacteristic, complemented
976#482C22×C7111yescharacteristic, complemented
977#482C22×C7111yescharacteristic, complemented
978#482C22×C7111yescharacteristic, complemented
979#482C22×C7111yescharacteristic, complemented
980#482C22×C7111yescharacteristic, complemented
981#481C22×C7111yescharacteristic, complemented
982#480C22×C7111yescharacteristic, complemented
983#480C22×C7111yescharacteristic, complemented
984#479C22×C7111yescharacteristic, complemented
985#479C22×C7111yescharacteristic, complemented
986#479C22×C7111yescharacteristic, complemented
987#478C22×C7111yescharacteristic
988#478C22×C7111yescharacteristic
989#478C22×C7111yescharacteristic, complemented
990#478C22×C7111yescharacteristic, complemented
991#478C22×C7111yescharacteristic, complemented
992#476C22×C7111yescharacteristic
993#475C22×C7111yescharacteristic, complemented
994#474C22×C7111yescharacteristic, complemented
995#474C22×C7111yescharacteristic, complemented
996#469C22×C7111yescharacteristic, complemented
997#469C22×C7111yescharacteristic, complemented
998#469C22×C7111yescharacteristic, complemented
999#469C22×C7111yescharacteristic, complemented
1000#469C22×C7111yescharacteristic, complemented
1001#468C22×C7111yescharacteristic, complemented
1002#468C22×C7111yescharacteristic, complemented
1003#468C22×C7111yescharacteristic, complemented
1004#466C22×C7111yescharacteristic, complemented
1005#466C22×C7111yescharacteristic, complemented
1006#466C22×C7111yescharacteristic, complemented
1007#465C22×C7111yescharacteristic, complemented
1008#463C22×C7111yescharacteristic
1009#463C22×C7111yescharacteristic
1010#463C22×C7111yescharacteristic, complemented
1011#463C22×C7111yescharacteristic, complemented
1012#460C22×C7111yescharacteristic, complemented
1013#460C22×C7111yescharacteristic, complemented
1014#460C22×C7111yescharacteristic, complemented
1015#460C22×C7111yescharacteristic, complemented
1016#459C22×C7111yescharacteristic
1017#459C22×C7111yescharacteristic, complemented
1018#459C22×C7111yescharacteristic, complemented
1019#459C22×C7111yescharacteristic, complemented
1020#450C22×C7111yescharacteristic
1021#450C22×C7111yescharacteristic
1022#449C22×C7111yescharacteristic, complemented
1023#449C22×C7111yescharacteristic, complemented
1024#449C22×C7111yescharacteristic, complemented
1025#449C22×C7111yescharacteristic, complemented
1026#448C22×C7111yescharacteristic, complemented
1027#448C22×C7111yescharacteristic, complemented
1028#447C22×C7111yescharacteristic
1029#447C22×C7111yescharacteristic
1030#447C22×C7111yescharacteristic
1031#447C22×C7111yescharacteristic
1032#446C22×C7111yescharacteristic, complemented
1033#446C22×C7111yescharacteristic, complemented
1034#442C22×C7111yescharacteristic
1035#442C22×C7111yescharacteristic
1036#442C22×C7111yescharacteristic, complemented
1037#442C22×C7111yescharacteristic, complemented
1038#442C22×C7111yescharacteristic, complemented
1039#442C22×C7111yescharacteristic, complemented
1040#442C22×C7111yescharacteristic, complemented
1041#440C22×C7111yescharacteristic
1042#440C22×C7111yescharacteristic
1043#440C22×C7111yescharacteristic
1044#440C22×C7111yescharacteristic
1045#440C22×C7111yescharacteristic, complemented
1046#440C22×C7111yescharacteristic, complemented
1047#440C22×C7111yescharacteristic, complemented
1048#440C22×C7111yescharacteristic, complemented
1049#440C22×C7111yescharacteristic, complemented
1050C4×SD16C22×C7111yescharacteristic
1051C4×SD16C22×C7111yescharacteristic
1052C4×SD16C22×C7111yescharacteristic, complemented
1053C4×SD16C22×C7111yescharacteristic, complemented
1054C4×SD16C22×C7111yescharacteristic, complemented
1055C4×SD16C22×C7111yescharacteristic, complemented
1056C4×SD16C22×C7111yescharacteristic, complemented
1057C4×D8C22×C7111yescharacteristic
1058C4×D8C22×C7111yescharacteristic
1059C4×D8C22×C7111yescharacteristic, complemented
1060C4×D8C22×C7111yescharacteristic, complemented
1061C4×D8C22×C7111yescharacteristic, complemented
1062#436C22×C7111yescharacteristic, complemented
1063#436C22×C7111yescharacteristic, complemented
1064#435C22×C7111yescharacteristic, complemented
1065#435C22×C7111yescharacteristic, complemented
1066#435C22×C7111yescharacteristic, complemented
1067#435C22×C7111yescharacteristic, complemented
1068#433C22×C7111yescharacteristic, complemented
1069#433C22×C7111yescharacteristic, complemented
1070#432C22×C7111yescharacteristic, complemented
1071#428C22×C7111yescharacteristic, complemented
1072#428C22×C7111yescharacteristic, complemented
1073#427C22×C7111yescharacteristic, complemented
1074#419C22×C7111yescharacteristic, complemented
1075#418C22×C7111yescharacteristic
1076#418C22×C7111yescharacteristic
1077#417C22×C7111yescharacteristic, complemented
1078#416C22×C7111yescharacteristic, complemented
1079C2×#102C22×C7111yescharacteristic
1080#405C22×C7111yescharacteristic, complemented
1081#405C22×C7111yescharacteristic, complemented
1082C4×M16C22×C7111yescharacteristic, complemented
1083C2×#41—21no—
1084C2×#41—21no—
1085C2×#41C23×C7111yescharacteristic
1086C2×#41C23×C7111yescharacteristic
1087C22×Q8C23×C7111yescharacteristic
1088C22×D4—21no—
1089C22×D4—21no—
1090C22×D4—21no—
1091C22×D4C23×C7111yescharacteristic
1092C22×D4C23×C7111yescharacteristic
1093C22×D4C23×C7111yescharacteristic
1094C23×C4—21no—
1095AGL(1,ℤ/8)—24no—
1096AGL(1,ℤ/8)—24no—
1097C2×SD16—24no—
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×D8C23×C7111yescharacteristic
1107C2×D8C23×C7111yescharacteristic
1108C2×D8C23×C7111yescharacteristic
1109C2×D8C23×C7111yescharacteristic
1110C2×D8C23×C7111yescharacteristic
1111C2×D8C23×C7111yescharacteristic
1112C2×D8C23×C7111yescharacteristic
1113C2×D8C23×C7111yescharacteristic
1114C2×M16C23×C7111yescharacteristic
1115C2×M16C23×C7111yescharacteristic
1116C2×M16C23×C7111yescharacteristic
1117C2×M16C23×C7111yescharacteristic
1118C22×C8C23×C7111yescharacteristic
1119C22×C8C23×C7111yescharacteristic
1120C4⋊Q8—21no—
1121C4⋊Q8C23×C7111yescharacteristic
1122C4⋊Q8C23×C7111yescharacteristic
1123#127—21no—
1124#127C23×C7111yescharacteristic
1125#127C23×C7111yescharacteristic
1126#127C23×C7111yescharacteristic
1127#127C23×C7111yescharacteristic
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126D4×C7111yescharacteristic
1135#126D4×C7111yescharacteristic
1136#125—21no—
1137#125—21no—
1138#125—21no—
1139#125D4×C7111yescharacteristic
1140#125C23×C7111yescharacteristic
1141#125C23×C7111yescharacteristic
1142#125C23×C7111yescharacteristic
1143#125C23×C7111yescharacteristic
1144#124—21no—
1145#124—21no—
1146#124—21no—
1147#124—21no—
1148#124—21no—
1149#124—21no—
1150#124—21no—
1151#124—21no—
1152#124—21no—
1153#124D4×C7111yescharacteristic
1154#124C23×C7111yescharacteristic
1155#124C23×C7111yescharacteristic
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123—21no—
1164#123—21no—
1165#123—21no—
1166#123—21no—
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123D4×C7111yescharacteristic
1171#123D4×C7111yescharacteristic
1172C22⋊Q8—21no—
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—21no—
1178C22⋊Q8D4×C7111yescharacteristic
1179C22⋊Q8C23×C7111yescharacteristic
1180C22⋊Q8C23×C7111yescharacteristic
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—21no—
1190#121—21no—
1191#121—21no—
1192#121—21no—
1193#121—21no—
1194#121—21no—
1195#121—21no—
1196#121—21no—
1197#121—21no—
1198#121—21no—
1199#121—21no—
1200#121—21no—
1201#121—21no—
1202#121—21no—
1203#121D4×C7111yescharacteristic
1204#121C23×C7111yescharacteristic
1205#121C23×C7111yescharacteristic
1206#121C23×C7111yescharacteristic
1207#121C23×C7111yescharacteristic
1208#121C23×C7111yescharacteristic
1209#121C23×C7111yescharacteristic
1210#121C23×C7111yescharacteristic
1211#121C23×C7111yescharacteristic
1212#121C23×C7111yescharacteristic
1213#121C23×C7111yescharacteristic
1214#120—21no—
1215#120—21no—
1216#120—21no—
1217#120—21no—
1218#120—21no—
1219#120—21no—
1220C4×Q8—21no—
1221C4×Q8—21no—
1222C4×Q8—21no—
1223C4×Q8C23×C7111yescharacteristic
1224C4×Q8C23×C7111yescharacteristic
1225C4×Q8C23×C7111yescharacteristic
1226C4×Q8C23×C7111yescharacteristic
1227C4×Q8C23×C7111yescharacteristic
1228C4×Q8C23×C7111yescharacteristic
1229C4×Q8C23×C7111yescharacteristic
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—21no—
1241C4×D4—21no—
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4C23×C7111yescharacteristic
1250C4×D4C23×C7111yescharacteristic
1251C4×D4C23×C7111yescharacteristic
1252C4×D4C23×C7111yescharacteristic
1253C4×D4C23×C7111yescharacteristic
1254C4×D4C23×C7111yescharacteristic
1255C4×D4C23×C7111yescharacteristic
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
1266#117—21no—
1267#117—21no—
1268#117—21no—
1269#117—21no—
1270#117—21no—
1271#117—21no—
1272#117—21no—
1273#117—21no—
1274#117C23×C7111yescharacteristic
1275#117C23×C7111yescharacteristic
1276#117C23×C7111yescharacteristic
1277#117C23×C7111yescharacteristic
1278#117C23×C7111yescharacteristic
1279#117C23×C7111yescharacteristic
1280C2×C4⋊C4—21no—
1281C2×C4⋊C4—21no—
1282C2×C4⋊C4C23×C7111yescharacteristic
1283C2×C4⋊C4C23×C7111yescharacteristic
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—21no—
1286C2×C22⋊C4—21no—
1287C2×C22⋊C4—21no—
1288C2×C22⋊C4—21no—
1289C2×C42—21no—
1290C2×C42C23×C7111yescharacteristic
1291#107C23×C7111yescharacteristic
1292#107C23×C7111yescharacteristic
1293#107C23×C7111yescharacteristic
1294#107C23×C7111yescharacteristic
1295#107C23×C7111yescharacteristic
1296#107C23×C7111yescharacteristic
1297#107C23×C7111yescharacteristic
1298#107C23×C7111yescharacteristic
1299#106C23×C7111yescharacteristic
1300#106C23×C7111yescharacteristic
1301#106C23×C7111yescharacteristic
1302#106C23×C7111yescharacteristic
1303#106C23×C7111yescharacteristic
1304#106C23×C7111yescharacteristic
1305#106C23×C7111yescharacteristic
1306#106C23×C7111yescharacteristic
1307C4⋊C8C23×C7111yescharacteristic
1308C4⋊C8C23×C7111yescharacteristic
1309C4⋊C8C23×C7111yescharacteristic
1310C4⋊C8C23×C7111yescharacteristic
1311C4⋊C8C23×C7111yescharacteristic
1312C4⋊C8C23×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#102C23×C7111yescharacteristic
1322#102C23×C7111yescharacteristic
1323#102C23×C7111yescharacteristic
1324#102C23×C7111yescharacteristic
1325#102C23×C7111yescharacteristic
1326#102C23×C7111yescharacteristic
1327#102C23×C7111yescharacteristic
1328#102C23×C7111yescharacteristic
1329#102C23×C7111yescharacteristic
1330#102C23×C7111yescharacteristic
1331#102C23×C7111yescharacteristic
1332#102C23×C7111yescharacteristic
1333#102C23×C7111yescharacteristic
1334#102C23×C7111yescharacteristic
1335#102C23×C7111yescharacteristic
1336#102C23×C7111yescharacteristic
1337#102C23×C7111yescharacteristic
1338#102C23×C7111yescharacteristic
1339#102C23×C7111yescharacteristic
1340#102C23×C7111yescharacteristic
1341#102C23×C7111yescharacteristic
1342#102C23×C7111yescharacteristic
1343#102C23×C7111yescharacteristic
1344#102C23×C7111yescharacteristic
1345C22⋊C8C23×C7111yescharacteristic
1346C22⋊C8C23×C7111yescharacteristic
1347C22⋊C8C23×C7111yescharacteristic
1348C22⋊C8C23×C7111yescharacteristic
1349C22⋊C8C23×C7111yescharacteristic
1350C22⋊C8C23×C7111yescharacteristic
1351#97C23×C7111yescharacteristic
1352#97C23×C7111yescharacteristic
1353#97C23×C7111yescharacteristic
1354#97C23×C7111yescharacteristic
1355#97C23×C7111yescharacteristic
1356#97C23×C7111yescharacteristic
1357C4×C8C23×C7111yescharacteristic
1358C4×C8C23×C7111yescharacteristic
1359C4×C8C23×C7111yescharacteristic
1360C4×C8C23×C7111yescharacteristic
1361C24—21no—
1362C24—21no—
1363C24—21no—
1364#41—22no—
1365#41—22no—
1366#41—41no—
1367#41—41no—
1368#41—82no—
1369#41—82no—
1370C2×Q8—21no—
1371C2×Q8—21no—
1372C2×Q8—21no—
1373C2×Q8—22no—
1374C2×Q8—41no—
1375C2×Q8C2×D4×C7111yescharacteristic
1376C2×Q8C24×C7111yescharacteristic
1377C2×Q8C24×C7111yescharacteristic
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—82no—
1408C2×D4—82no—
1409C2×D4—82no—
1410C2×D4C2×D4×C7111yescharacteristic
1411C2×D4C2×D4×C7111yescharacteristic
1412C2×D4C2×D4×C7111yescharacteristic
1413C2×D4C24×C7111yescharacteristic
1414C2×D4C24×C7111yescharacteristic
1415C2×D4C24×C7111yescharacteristic
1416C2×D4C24×C7111yescharacteristic
1417C2×D4C24×C7111yescharacteristic
1418C2×D4C24×C7111yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—82no—
1439C22×C4C2×D4×C7111yescharacteristic
1440C22×C4C2×D4×C7111yescharacteristic
1441C22×C4C24×C7111yescharacteristic
1442C22×C4C24×C7111yescharacteristic
1443C22×C4C24×C7111yescharacteristic
1444SD16—22no—
1445SD16—22no—
1446SD16—22no—
1447SD16—22no—
1448SD16—22no—
1449SD16—41no—
1450SD16—41no—
1451SD16#41×C7114yescomplemented
1452D8—22no—
1453D8—22no—
1454D8—22no—
1455D8—22no—
1456D8—41no—
1457D8—41no—
1458D8—41no—
1459D8—41no—
1460M16—22no—
1461M16—22no—
1462M16—41no—
1463M16—41no—
1464C2×C8—22no—
1465C2×C8—41no—
1466C2×C8C24×C7111yescharacteristic
1467C2×C8C24×C7111yescharacteristic
1468C2×C8C24×C7111yescharacteristic
1469C2×C8C24×C7111yescharacteristic
1470C2×C8C24×C7111yescharacteristic
1471C2×C8C24×C7111yescharacteristic
1472C2×C8C24×C7111yescharacteristic
1473C2×C8C24×C7111yescharacteristic
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
1510C4⋊C4C24×C7111yescharacteristic
1511C4⋊C4C24×C7111yescharacteristic
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⋊C4C2×D4×C7111yescharacteristic
1547C22⋊C4C2×D4×C7111yescharacteristic
1548C22⋊C4C2×D4×C7111yescharacteristic
1549C22⋊C4C2×D4×C7111yescharacteristic
1550C22⋊C4C2×D4×C7111yescharacteristic
1551C22⋊C4C2×D4×C7111yescharacteristic
1552C22⋊C4C2×D4×C7111yescharacteristic
1553C22⋊C4C2×D4×C7111yescharacteristic
1554C22⋊C4C2×D4×C7111yescharacteristic
1555C22⋊C4C2×D4×C7111yescharacteristic
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42C2×D4×C7111yescharacteristic
1567C42C2×D4×C7111yescharacteristic
1568C42C24×C7111yescharacteristic
1569C42C24×C7111yescharacteristic
1570C42C24×C7111yescharacteristic
1571C42C24×C7111yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—42no—
1579C23—42no—
1580C23—42no—
1581C23—42no—
1582C23—81no—
1583C23—81no—
1584C23—81no—
1585C23—81no—
1586C23—81no—
1587C23C22×D4×C7111yescharacteristic
1588C23C22×D4×C7111yescharacteristic
1589C23C22×D4×C7111yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—41no—
1594Q8—42no—
1595Q8—81no—
1596Q8—81no—
1597Q8C2×#41×C7112yes—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—21no—
1609D4—41no—
1610D4—41no—
1611D4—41no—
1612D4—42no—
1613D4—42no—
1614D4—42no—
1615D4—42no—
1616D4—42no—
1617D4—42no—
1618D4—42no—
1619D4—42no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—81no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4C2×#41×C7112yes—
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—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—42no—
1655C2×C4—42no—
1656C2×C4—42no—
1657C2×C4—42no—
1658C2×C4—42no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4C22×D4×C7111yescharacteristic
1674C2×C4C22×D4×C7111yescharacteristic
1675C2×C4C22×D4×C7111yescharacteristic
1676C2×C4C22×D4×C7111yescharacteristic
1677C2×C4C22×D4×C7111yescharacteristic
1678C2×C4C22×D4×C7111yescharacteristic
1679C2×C4C22×D4×C7111yescharacteristic
1680C2×C4C22×D4×C7111yescharacteristic
1681C2×C4C22×D4×C7111yescharacteristic
1682C2×C4C22×D4×C7111yescharacteristic
1683C2×C4C22×D4×C7111yescharacteristic
1684C2×C4C25×C7111yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8C2×#41×C7112yes—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—84no—
1721C22—162no—
1722C22—162no—
1723C22C23×D4×C7111yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—22no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4C22×#41×C7111yescharacteristic
1746C4#585×C7111yescharacteristic
1747C2—41no—
1748C2—41no—
1749C2—41no—
1750C2—42no—
1751C2—81no—
1752C2—81no—
1753C2—81no—
1754C2—81no—
1755C2—81no—
1756C2D4×#41×C7111yescharacteristic
1757C2C71×#358511yescharacteristic
1758C2C71×#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×#3524C2semidirect
2. C71×#3519C2semidirect
3. C71×#3399C2semidirect
4. C71×#3388C2semidirect
5. C71×#3370C2semidirect
6. C71×#3368C2semidirect
7. C71×#3351C2semidirect
8. C71×#3347C2semidirect
9. C71×#3347C2semidirect
10. C71×#3326C2semidirect
11. C71×#3325C2semidirect
12. C71×#3321C2semidirect
13. C71×#3318C2semidirect
14. C71×#3310C2semidirect
15. C71×#3309C2semidirect
16. C71×#3274C2semidirect
17. C71×#3265C2semidirect
18. C71×#3265C2semidirect
19. C71×#3179C2semidirect
20. C71×#3176C2semidirect
21. C71×#3171C2semidirect
22. C71×#3126C2semidirect
23. C71×#3122C2semidirect
24. C71×#3119C2semidirect
25. C71×#3118C2semidirect
26. C71×#3115C2semidirect
27. C71×#3114C2semidirect
28. C71×#2967C2semidirect
29. C71×#2949C2semidirect
30. C71×#2946C2semidirect
31. C4×AGL(1,ℤ/8)×C71C2semidirect
36. #559×C71C22semidirect
37. #557×C71C22semidirect
40. #555×C71C22semidirect
46. #553×C71C22semidirect
48. #552×C71C22semidirect
50. #550×C71C22semidirect
51. #548×C71C22semidirect
52. #548×C71C22semidirect
60. #542×C71C22semidirect
64. #540×C71C22semidirect
71. #529×C71C22semidirect
74. #520×C71C22semidirect
75. #519×C71C22semidirect
78. C4×#41×C71C22semidirect
80. #501×C71C22semidirect
81. #501×C71C22semidirect
82. #499×C71C22semidirect
83. #496×C71C22semidirect
84. #496×C71C22semidirect
85. #493×C71C22semidirect
86. #490×C71C22semidirect
87. #490×C71C22semidirect
88. #490×C71C22semidirect
89. #489×C71C22semidirect
90. #488×C71C22semidirect
91. #486×C71C22semidirect
92. #485×C71C22semidirect
93. #483×C71C22semidirect
94. #482×C71C22semidirect
95. #482×C71C22semidirect
96. #482×C71C22semidirect
97. #482×C71C22semidirect
98. #482×C71C22semidirect
99. #482×C71C22semidirect
100. #482×C71C22semidirect
101. #481×C71C22semidirect
102. #480×C71C22semidirect
103. #480×C71C22semidirect
104. #479×C71C22semidirect
105. #479×C71C22semidirect
106. #479×C71C22semidirect
109. #478×C71C22semidirect
110. #478×C71C22semidirect
111. #478×C71C22semidirect
113. #475×C71C22semidirect
114. #474×C71C22semidirect
115. #474×C71C22semidirect
116. #469×C71C22semidirect
117. #469×C71C22semidirect
118. #469×C71C22semidirect
119. #469×C71C22semidirect
120. #469×C71C22semidirect
121. #468×C71C22semidirect
122. #468×C71C22semidirect
123. #468×C71C22semidirect
124. #466×C71C22semidirect
125. #466×C71C22semidirect
126. #466×C71C22semidirect
127. #465×C71C22semidirect
130. #463×C71C22semidirect
131. #463×C71C22semidirect
132. #460×C71C22semidirect
133. #460×C71C22semidirect
134. #460×C71C22semidirect
135. #460×C71C22semidirect
137. #459×C71C22semidirect
138. #459×C71C22semidirect
139. #459×C71C22semidirect
142. #449×C71C22semidirect
143. #449×C71C22semidirect
144. #449×C71C22semidirect
145. #449×C71C22semidirect
146. #448×C71C22semidirect
147. #448×C71C22semidirect
152. #446×C71C22semidirect
153. #446×C71C22semidirect
156. #442×C71C22semidirect
157. #442×C71C22semidirect
158. #442×C71C22semidirect
159. #442×C71C22semidirect
160. #442×C71C22semidirect
165. #440×C71C22semidirect
166. #440×C71C22semidirect
167. #440×C71C22semidirect
168. #440×C71C22semidirect
169. #440×C71C22semidirect
172. C4×SD16×C71C22semidirect
173. C4×SD16×C71C22semidirect
174. C4×SD16×C71C22semidirect
175. C4×SD16×C71C22semidirect
176. C4×SD16×C71C22semidirect
179. C4×D8×C71C22semidirect
180. C4×D8×C71C22semidirect
181. C4×D8×C71C22semidirect
182. #436×C71C22semidirect
183. #436×C71C22semidirect
184. #435×C71C22semidirect
185. #435×C71C22semidirect
186. #435×C71C22semidirect
187. #435×C71C22semidirect
188. #433×C71C22semidirect
189. #433×C71C22semidirect
190. #432×C71C22semidirect
191. #428×C71C22semidirect
192. #428×C71C22semidirect
193. #427×C71C22semidirect
194. #419×C71C22semidirect
197. #417×C71C22semidirect
198. #416×C71C22semidirect
200. #405×C71C22semidirect
201. #405×C71C22semidirect
202. C4×M16×C71C22semidirect
571. SD16×C71#41semidirect
867. #61504C71direct (N × H)
880. #3524C2×C71semidirect
881. #3519C2×C71semidirect
882. #3399C2×C71semidirect
883. #3388C2×C71semidirect
884. #3370C2×C71semidirect
885. #3368C2×C71semidirect
886. #3351C2×C71semidirect
887. #3347C2×C71semidirect
888. #3347C2×C71semidirect
889. #3326C2×C71semidirect
890. #3325C2×C71semidirect
891. #3321C2×C71semidirect
892. #3318C2×C71semidirect
893. #3310C2×C71semidirect
894. #3309C2×C71semidirect
895. #3274C2×C71semidirect
896. #3265C2×C71semidirect
897. #3265C2×C71semidirect
898. #3179C2×C71semidirect
899. #3176C2×C71semidirect
900. #3171C2×C71semidirect
901. #3126C2×C71semidirect
902. #3122C2×C71semidirect
903. #3119C2×C71semidirect
904. #3118C2×C71semidirect
905. #3115C2×C71semidirect
906. #3114C2×C71semidirect
907. #2967C2×C71semidirect
908. #2949C2×C71semidirect
909. #2946C2×C71semidirect
910. C4×AGL(1,ℤ/8)C2×C71semidirect
911. C71#61504direct (N × H)
916. #559C22×C71semidirect
917. #557C22×C71semidirect
920. #555C22×C71semidirect
926. #553C22×C71semidirect
928. #552C22×C71semidirect
930. #550C22×C71semidirect
931. #548C22×C71semidirect
932. #548C22×C71semidirect
940. #542C22×C71semidirect
944. #540C22×C71semidirect
951. #529C22×C71semidirect
954. #520C22×C71semidirect
955. #519C22×C71semidirect
958. C4×#41C22×C71semidirect
960. #501C22×C71semidirect
961. #501C22×C71semidirect
962. #499C22×C71semidirect
963. #496C22×C71semidirect
964. #496C22×C71semidirect
965. #493C22×C71semidirect
966. #490C22×C71semidirect
967. #490C22×C71semidirect
968. #490C22×C71semidirect
969. #489C22×C71semidirect
970. #488C22×C71semidirect
971. #486C22×C71semidirect
972. #485C22×C71semidirect
973. #483C22×C71semidirect
974. #482C22×C71semidirect
975. #482C22×C71semidirect
976. #482C22×C71semidirect
977. #482C22×C71semidirect
978. #482C22×C71semidirect
979. #482C22×C71semidirect
980. #482C22×C71semidirect
981. #481C22×C71semidirect
982. #480C22×C71semidirect
983. #480C22×C71semidirect
984. #479C22×C71semidirect
985. #479C22×C71semidirect
986. #479C22×C71semidirect
989. #478C22×C71semidirect
990. #478C22×C71semidirect
991. #478C22×C71semidirect
993. #475C22×C71semidirect
994. #474C22×C71semidirect
995. #474C22×C71semidirect
996. #469C22×C71semidirect
997. #469C22×C71semidirect
998. #469C22×C71semidirect
999. #469C22×C71semidirect
1000. #469C22×C71semidirect
1001. #468C22×C71semidirect
1002. #468C22×C71semidirect
1003. #468C22×C71semidirect
1004. #466C22×C71semidirect
1005. #466C22×C71semidirect
1006. #466C22×C71semidirect
1007. #465C22×C71semidirect
1010. #463C22×C71semidirect
1011. #463C22×C71semidirect
1012. #460C22×C71semidirect
1013. #460C22×C71semidirect
1014. #460C22×C71semidirect
1015. #460C22×C71semidirect
1017. #459C22×C71semidirect
1018. #459C22×C71semidirect
1019. #459C22×C71semidirect
1022. #449C22×C71semidirect
1023. #449C22×C71semidirect
1024. #449C22×C71semidirect
1025. #449C22×C71semidirect
1026. #448C22×C71semidirect
1027. #448C22×C71semidirect
1032. #446C22×C71semidirect
1033. #446C22×C71semidirect
1036. #442C22×C71semidirect
1037. #442C22×C71semidirect
1038. #442C22×C71semidirect
1039. #442C22×C71semidirect
1040. #442C22×C71semidirect
1045. #440C22×C71semidirect
1046. #440C22×C71semidirect
1047. #440C22×C71semidirect
1048. #440C22×C71semidirect
1049. #440C22×C71semidirect
1052. C4×SD16C22×C71semidirect
1053. C4×SD16C22×C71semidirect
1054. C4×SD16C22×C71semidirect
1055. C4×SD16C22×C71semidirect
1056. C4×SD16C22×C71semidirect
1059. C4×D8C22×C71semidirect
1060. C4×D8C22×C71semidirect
1061. C4×D8C22×C71semidirect
1062. #436C22×C71semidirect
1063. #436C22×C71semidirect
1064. #435C22×C71semidirect
1065. #435C22×C71semidirect
1066. #435C22×C71semidirect
1067. #435C22×C71semidirect
1068. #433C22×C71semidirect
1069. #433C22×C71semidirect
1070. #432C22×C71semidirect
1071. #428C22×C71semidirect
1072. #428C22×C71semidirect
1073. #427C22×C71semidirect
1074. #419C22×C71semidirect
1077. #417C22×C71semidirect
1078. #416C22×C71semidirect
1080. #405C22×C71semidirect
1081. #405C22×C71semidirect
1082. C4×M16C22×C71semidirect
1451. SD16#41×C71semidirect

Maximal subgroups

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

subgroupindex
C71×#35242
C71×#35192
C71×#33992
C71×#33882
C71×#33702
C71×#33682
C71×#33512
C71×#33472
C71×#33262
C71×#33252
C71×#33212
C71×#33182
C71×#33102
C71×#33092
C71×#32742
C71×#32652
C71×#31792
C71×#31762
C71×#31712
C71×#31262
C71×#31222
C71×#31192
C71×#31182
C71×#31152
C71×#31142
C71×#29672
C71×#29492
C71×#29462
C4×AGL(1,ℤ/8)×C712
#6150471