Finite Group Databasebeta

← C71×#61642 #31882514

Subgroups — C71×#61642 #31882514

Order 18176.

2042 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C71×#3541C211yesmaximal, characteristic, complemented
2C71×#3489C211yesmaximal, characteristic, complemented
3C71×#3320C211yesmaximal, characteristic, complemented
4C71×#3315C211yesmaximal, characteristic, complemented
5C71×#3314C211yesmaximal, characteristic, complemented
6C71×#3313C211yesmaximal, characteristic, complemented
7C71×#3302C211yesmaximal, characteristic, complemented
8C71×#3300C211yesmaximal, characteristic, complemented
9C71×#3299C211yesmaximal, characteristic, complemented
10C71×#3297C211yesmaximal, characteristic, complemented
11D4×Q16×C71C211yesmaximal, characteristic, complemented
12C71×#3285C211yesmaximal, characteristic, complemented
13C71×#3283C211yesmaximal, characteristic, complemented
14C71×#3282C211yesmaximal, characteristic, complemented
15C71×#3270C211yesmaximal, characteristic, complemented
16C71×#3269C211yesmaximal, characteristic, complemented
17C71×#3269C211yesmaximal, characteristic, complemented
18C71×#3266C211yesmaximal, characteristic, complemented
19C71×#3225C211yesmaximal, characteristic, complemented
20C71×#3223C211yesmaximal, characteristic, complemented
21C71×#3203C211yesmaximal, characteristic, complemented
22C71×#3201C211yesmaximal, characteristic, complemented
23C71×#3190C211yesmaximal, characteristic, complemented
24C71×#3189C211yesmaximal, characteristic, complemented
25C71×#3124C211yesmaximal, characteristic, complemented
26C71×#3120C211yesmaximal, characteristic, complemented
27C71×#3013C211yesmaximal, characteristic, complemented
28C71×#3011C211yesmaximal, characteristic, complemented
29C71×#3002C211yesmaximal, characteristic, complemented
30C2×#452×C71C211yesmaximal, characteristic, complemented
31C71×#2977C211yesmaximal, characteristic, complemented
32C2×2−1+4×C71C2211yescharacteristic
33C22×#41×C71C2211yescharacteristic
34C2×#137×C71C2211yescharacteristic, complemented
35C2×#137×C71C2211yescharacteristic, complemented
36C2×#135×C71C2211yescharacteristic
37C2×#135×C71C2211yescharacteristic
38C2×#135×C71C2211yescharacteristic, complemented
39C22×Q16×C71C2211yescharacteristic
40C22×Q16×C71C2211yescharacteristic, complemented
41C22×SD16×C71C2211yescharacteristic
42#563×C71—21no—
43#562×C71—21no—
44#556×C71C2211yescharacteristic, complemented
45#554×C71—21no—
46#554×C71C2211yescharacteristic
47#553×C71—21no—
48#553×C71C2211yescharacteristic
49#552×C71C2211yescharacteristic, complemented
50D4×Q8×C71C2211yescharacteristic
51D4×Q8×C71C2211yescharacteristic
52D4×Q8×C71C2211yescharacteristic
53#548×C71C2211yescharacteristic
54#548×C71C2211yescharacteristic
55#548×C71C2211yescharacteristic
56#548×C71C2211yescharacteristic, complemented
57#547×C71—21no—
58#547×C71—21no—
59#547×C71C2211yescharacteristic
60#547×C71C2211yescharacteristic
61#547×C71C2211yescharacteristic, complemented
62#546×C71—21no—
63#546×C71—21no—
64#546×C71C2211yescharacteristic
65#546×C71C2211yescharacteristic
66#542×C71—21no—
67#542×C71C2211yescharacteristic, complemented
68#541×C71C2211yescharacteristic, complemented
69#539×C71—21no—
70#538×C71—21no—
71#538×C71—21no—
72#537×C71—21no—
73#537×C71C2211yescharacteristic
74#537×C71C2211yescharacteristic, complemented
75#536×C71—21no—
76#536×C71C2211yescharacteristic
77#536×C71C2211yescharacteristic, complemented
78#525×C71—21no—
79#525×C71C2211yescharacteristic
80#525×C71C2211yescharacteristic
81C2×C22⋊Q8×C71—21no—
82C2×C22⋊Q8×C71C2211yescharacteristic
83C2×C22⋊Q8×C71C2211yescharacteristic
84#520×C71C2211yescharacteristic
85#497×C71C2211yescharacteristic, complemented
86#497×C71C2211yescharacteristic, complemented
87#495×C71C2211yescharacteristic, complemented
88#494×C71C2211yescharacteristic, complemented
89#491×C71C2211yescharacteristic, complemented
90#489×C71C2211yescharacteristic, complemented
91#488×C71C2211yescharacteristic, complemented
92#487×C71C2211yescharacteristic, complemented
93#485×C71C2211yescharacteristic, complemented
94#485×C71C2211yescharacteristic, complemented
95#485×C71C2211yescharacteristic, complemented
96#484×C71C2211yescharacteristic
97#484×C71C2211yescharacteristic
98#484×C71C2211yescharacteristic, complemented
99#484×C71C2211yescharacteristic, complemented
100#484×C71C2211yescharacteristic, complemented
101#483×C71C2211yescharacteristic, complemented
102#482×C71C2211yescharacteristic, complemented
103#480×C71C2211yescharacteristic, complemented
104#480×C71C2211yescharacteristic, complemented
105#479×C71C2211yescharacteristic, complemented
106#478×C71C2211yescharacteristic, complemented
107#477×C71C2211yescharacteristic, complemented
108#474×C71C2211yescharacteristic, complemented
109#470×C71C2211yescharacteristic, complemented
110#468×C71C2211yescharacteristic, complemented
111#468×C71C2211yescharacteristic, complemented
112#468×C71C2211yescharacteristic, complemented
113#467×C71C2211yescharacteristic
114#467×C71C2211yescharacteristic
115#467×C71C2211yescharacteristic, complemented
116#467×C71C2211yescharacteristic, complemented
117#467×C71C2211yescharacteristic, complemented
118#467×C71C2211yescharacteristic, complemented
119#467×C71C2211yescharacteristic, complemented
120#467×C71C2211yescharacteristic, complemented
121#466×C71C2211yescharacteristic, complemented
122#465×C71C2211yescharacteristic
123#465×C71C2211yescharacteristic
124#465×C71C2211yescharacteristic, complemented
125#464×C71C2211yescharacteristic, complemented
126#464×C71C2211yescharacteristic, complemented
127#464×C71C2211yescharacteristic, complemented
128#464×C71C2211yescharacteristic, complemented
129#463×C71C2211yescharacteristic, complemented
130#463×C71C2211yescharacteristic, complemented
131#462×C71C2211yescharacteristic, complemented
132#462×C71C2211yescharacteristic, complemented
133#462×C71C2211yescharacteristic, complemented
134#462×C71C2211yescharacteristic, complemented
135#461×C71C2211yescharacteristic, complemented
136#461×C71C2211yescharacteristic, complemented
137#452×C71C2211yescharacteristic
138#452×C71C2211yescharacteristic
139#452×C71C2211yescharacteristic
140#452×C71C2211yescharacteristic
141#452×C71C2211yescharacteristic
142#452×C71C2211yescharacteristic
143#452×C71C2211yescharacteristic
144#452×C71C2211yescharacteristic
145#452×C71C2211yescharacteristic
146#452×C71C2211yescharacteristic
147#452×C71C2211yescharacteristic, complemented
148#452×C71C2211yescharacteristic, complemented
149#452×C71C2211yescharacteristic, complemented
150#452×C71C2211yescharacteristic, complemented
151#452×C71C2211yescharacteristic, complemented
152#452×C71C2211yescharacteristic, complemented
153#451×C71C2211yescharacteristic
154#451×C71C2211yescharacteristic
155#451×C71C2211yescharacteristic
156#451×C71C2211yescharacteristic, complemented
157#451×C71C2211yescharacteristic, complemented
158#451×C71C2211yescharacteristic, complemented
159#451×C71C2211yescharacteristic, complemented
160#451×C71C2211yescharacteristic, complemented
161#451×C71C2211yescharacteristic, complemented
162#451×C71C2211yescharacteristic, complemented
163#450×C71C2211yescharacteristic
164#449×C71C2211yescharacteristic
165#449×C71C2211yescharacteristic
166#449×C71C2211yescharacteristic, complemented
167#449×C71C2211yescharacteristic, complemented
168#448×C71C2211yescharacteristic
169#448×C71C2211yescharacteristic, complemented
170#448×C71C2211yescharacteristic, complemented
171#448×C71C2211yescharacteristic, complemented
172#447×C71C2211yescharacteristic
173#441×C71C2211yescharacteristic, complemented
174#440×C71C2211yescharacteristic, complemented
175#440×C71C2211yescharacteristic, complemented
176#440×C71C2211yescharacteristic, complemented
177C4×Q16×C71C2211yescharacteristic, complemented
178C4×Q16×C71C2211yescharacteristic, complemented
179C4×SD16×C71C2211yescharacteristic, complemented
180C4×D8×C71C2211yescharacteristic, complemented
181#435×C71C2211yescharacteristic
182#435×C71C2211yescharacteristic
183#435×C71C2211yescharacteristic, complemented
184#435×C71C2211yescharacteristic, complemented
185C8×D4×C71C2211yescharacteristic
186C8×D4×C71C2211yescharacteristic
187C8×D4×C71C2211yescharacteristic, complemented
188C8×D4×C71C2211yescharacteristic, complemented
189#433×C71C2211yescharacteristic, complemented
190#433×C71C2211yescharacteristic, complemented
191#419×C71C2211yescharacteristic, complemented
192#417×C71C2211yescharacteristic, complemented
193#416×C71C2211yescharacteristic
194#416×C71C2211yescharacteristic
195#416×C71C2211yescharacteristic, complemented
196C2×#103×C71C2211yescharacteristic
197C2×#103×C71C2211yescharacteristic, complemented
198C2×#102×C71C2211yescharacteristic
199#408×C71C2211yescharacteristic, complemented
200#408×C71C2211yescharacteristic, complemented
201C2×C22⋊C8×C71C2211yescharacteristic
202C2×C22⋊C8×C71C2211yescharacteristic
2032−1+4×C71—42no—
2042−1+4×C71—42no—
205C2×#41×C71—21no—
206C2×#41×C71—21no—
207C2×#41×C71—21no—
208C2×#41×C71—21no—
209C2×#41×C71—21no—
210C2×#41×C71—42no—
211C2×#41×C71—42no—
212C2×#41×C71C2311yescharacteristic
213C2×#41×C71C2311yescharacteristic
214C2×#41×C71C2311yescharacteristic
215C2×#41×C71C2311yescharacteristic
216C2×#41×C71C2311yescharacteristic
217C2×#41×C71C2311yescharacteristic
218C2×#41×C71C2311yescharacteristic
219C2×#41×C71C2311yescharacteristic
220C2×#41×C71C2311yescharacteristic
221C22×Q8×C71—21no—
222C22×Q8×C71C2311yescharacteristic
223C22×Q8×C71C2311yescharacteristic
224C22×Q8×C71C2311yescharacteristic
225C22×Q8×C71C2311yescharacteristic
226C22×Q8×C71C2311yescharacteristic
227C22×Q8×C71C2311yescharacteristic
228C22×D4×C71—21no—
229C22×D4×C71C2311yescharacteristic
230C23×C4×C71—21no—
231C23×C4×C71C2311yescharacteristic
232#137×C71—42no—
233#137×C71—42no—
234#135×C71—42no—
235#135×C71—42no—
236#135×C71—42no—
237C2×Q16×C71—42no—
238C2×Q16×C71—42no—
239C2×Q16×C71C2311yescharacteristic
240C2×Q16×C71C2311yescharacteristic
241C2×Q16×C71C2311yescharacteristic
242C2×Q16×C71C2311yescharacteristic
243C2×Q16×C71C2311yescharacteristic
244C2×Q16×C71C2311yescharacteristic
245C2×Q16×C71C2311yescharacteristic
246C2×Q16×C71C2311yescharacteristic
247C2×Q16×C71C2311yescharacteristic
248C2×Q16×C71C2311yescharacteristic
249C2×Q16×C71C2311yescharacteristic
250C2×Q16×C71C2311yescharacteristic
251C2×SD16×C71—42no—
252C2×SD16×C71C2311yescharacteristic
253C2×SD16×C71C2311yescharacteristic
254C2×SD16×C71C2311yescharacteristic
255C2×SD16×C71C2311yescharacteristic
256C2×SD16×C71C2311yescharacteristic
257C2×SD16×C71C2311yescharacteristic
258C2×SD16×C71C2311yescharacteristic
259C2×SD16×C71C2311yescharacteristic
260C2×SD16×C71C2311yescharacteristic
261C2×SD16×C71C2311yescharacteristic
262C2×D8×C71C2311yescharacteristic
263C2×D8×C71C2311yescharacteristic
264C2×M16×C71C2311yescharacteristic
265C2×M16×C71C2311yescharacteristic
266C22×C8×C71C2311yescharacteristic
267C22×C8×C71C2311yescharacteristic
268C22×C8×C71C2311yescharacteristic
269C22×C8×C71C2311yescharacteristic
270C22×C8×C71C2311yescharacteristic
271C22×C8×C71C2311yescharacteristic
272C4⋊Q8×C71—21no—
273C4⋊Q8×C71—21no—
274C4⋊Q8×C71—21no—
275C4⋊Q8×C71—21no—
276C4⋊Q8×C71C2311yescharacteristic
277C4⋊Q8×C71C2311yescharacteristic
278C4⋊Q8×C71C2311yescharacteristic
279C4⋊Q8×C71C2311yescharacteristic
280#126×C71—21no—
281#126×C71—21no—
282#126×C71—21no—
283#126×C71—21no—
284#126×C71—21no—
285#126×C71—21no—
286#126×C71—21no—
287#125×C71—21no—
288#125×C71—21no—
289#125×C71—21no—
290#125×C71—21no—
291#125×C71C2311yescharacteristic
292#124×C71—21no—
293#124×C71—21no—
294#124×C71—21no—
295#124×C71—21no—
296#124×C71—21no—
297#124×C71—21no—
298#124×C71—21no—
299#124×C71C2311yescharacteristic
300#124×C71C2311yescharacteristic
301#124×C71C2311yescharacteristic
302#123×C71—21no—
303#123×C71—21no—
304#123×C71—21no—
305#123×C71—21no—
306#123×C71—21no—
307#123×C71—21no—
308#123×C71—21no—
309#123×C71—21no—
310#123×C71—21no—
311#123×C71—21no—
312#123×C71—21no—
313#123×C71—21no—
314#123×C71—21no—
315#123×C71—21no—
316#123×C71—21no—
317#123×C71—21no—
318#123×C71D411yescharacteristic
319#123×C71D411yescharacteristic
320C22⋊Q8×C71—21no—
321C22⋊Q8×C71—21no—
322C22⋊Q8×C71—21no—
323C22⋊Q8×C71—21no—
324C22⋊Q8×C71—21no—
325C22⋊Q8×C71—21no—
326C22⋊Q8×C71—21no—
327C22⋊Q8×C71—21no—
328C22⋊Q8×C71—21no—
329C22⋊Q8×C71—21no—
330C22⋊Q8×C71—21no—
331C22⋊Q8×C71—21no—
332C22⋊Q8×C71—21no—
333C22⋊Q8×C71—21no—
334C22⋊Q8×C71—21no—
335C22⋊Q8×C71—21no—
336C22⋊Q8×C71—21no—
337C22⋊Q8×C71—21no—
338C22⋊Q8×C71—21no—
339C22⋊Q8×C71—21no—
340C22⋊Q8×C71—21no—
341C22⋊Q8×C71D411yescharacteristic
342C22⋊Q8×C71D411yescharacteristic
343C22⋊Q8×C71C2311yescharacteristic
344C22⋊Q8×C71C2311yescharacteristic
345C22⋊Q8×C71C2311yescharacteristic
346C22⋊Q8×C71C2311yescharacteristic
347C22⋊Q8×C71C2311yescharacteristic
348C22⋊Q8×C71C2311yescharacteristic
349C22⋊Q8×C71C2311yescharacteristic
350C22⋊Q8×C71C2311yescharacteristic
351C22⋊Q8×C71C2311yescharacteristic
352C22⋊Q8×C71C2311yescharacteristic
353C22⋊Q8×C71C2311yescharacteristic
354C22⋊Q8×C71C2311yescharacteristic
355C22⋊Q8×C71C2311yescharacteristic
356C22⋊Q8×C71C2311yescharacteristic
357C22⋊Q8×C71C2311yescharacteristic
358#121×C71—21no—
359#121×C71—21no—
360#121×C71—21no—
361#121×C71—21no—
362#121×C71—21no—
363#121×C71—21no—
364#121×C71—21no—
365#121×C71—21no—
366#121×C71—21no—
367#121×C71—21no—
368#121×C71—21no—
369#121×C71—21no—
370#121×C71—21no—
371#121×C71—21no—
372#121×C71—21no—
373#121×C71—21no—
374#121×C71D411yescharacteristic
375#121×C71D411yescharacteristic
376#121×C71C2311yescharacteristic
377#121×C71C2311yescharacteristic
378#121×C71C2311yescharacteristic
379#121×C71C2311yescharacteristic
380#121×C71C2311yescharacteristic
381#120×C71—21no—
382#120×C71—21no—
383#120×C71—21no—
384#120×C71D411yescharacteristic
385#120×C71D411yescharacteristic
386C4×Q8×C71—21no—
387C4×Q8×C71C2311yescharacteristic
388C4×Q8×C71C2311yescharacteristic
389C4×Q8×C71C2311yescharacteristic
390C4×Q8×C71C2311yescharacteristic
391C4×Q8×C71C2311yescharacteristic
392C4×D4×C71—21no—
393C4×D4×C71—21no—
394C4×D4×C71—21no—
395C4×D4×C71—21no—
396C4×D4×C71—21no—
397C4×D4×C71—21no—
398C4×D4×C71—21no—
399C4×D4×C71—21no—
400C4×D4×C71—21no—
401C4×D4×C71—21no—
402C4×D4×C71—21no—
403C4×D4×C71—21no—
404C4×D4×C71—21no—
405C4×D4×C71C2311yescharacteristic
406C4×D4×C71C2311yescharacteristic
407C4×D4×C71C2311yescharacteristic
408C4×D4×C71C2311yescharacteristic
409C4×D4×C71C2311yescharacteristic
410C4×D4×C71C2311yescharacteristic
411C4×D4×C71C2311yescharacteristic
412#117×C71—21no—
413#117×C71—21no—
414#117×C71C2311yescharacteristic
415#117×C71C2311yescharacteristic
416#117×C71C2311yescharacteristic
417C2×C4⋊C4×C71—21no—
418C2×C4⋊C4×C71—21no—
419C2×C4⋊C4×C71—21no—
420C2×C4⋊C4×C71—21no—
421C2×C4⋊C4×C71—21no—
422C2×C4⋊C4×C71—21no—
423C2×C4⋊C4×C71C2311yescharacteristic
424C2×C4⋊C4×C71C2311yescharacteristic
425C2×C4⋊C4×C71C2311yescharacteristic
426C2×C22⋊C4×C71—21no—
427C2×C22⋊C4×C71—21no—
428C2×C22⋊C4×C71—21no—
429C2×C22⋊C4×C71—21no—
430#107×C71C2311yescharacteristic
431#107×C71C2311yescharacteristic
432#107×C71C2311yescharacteristic
433#107×C71C2311yescharacteristic
434#107×C71C2311yescharacteristic
435#107×C71C2311yescharacteristic
436#106×C71C2311yescharacteristic
437#106×C71C2311yescharacteristic
438C4⋊C8×C71C2311yescharacteristic
439C4⋊C8×C71C2311yescharacteristic
440C4⋊C8×C71C2311yescharacteristic
441C4⋊C8×C71C2311yescharacteristic
442#103×C71C2311yescharacteristic
443#103×C71C2311yescharacteristic
444#103×C71C2311yescharacteristic
445#103×C71C2311yescharacteristic
446#103×C71C2311yescharacteristic
447#103×C71C2311yescharacteristic
448#103×C71C2311yescharacteristic
449#103×C71C2311yescharacteristic
450#103×C71C2311yescharacteristic
451#103×C71C2311yescharacteristic
452#103×C71C2311yescharacteristic
453#103×C71C2311yescharacteristic
454#103×C71C2311yescharacteristic
455#103×C71C2311yescharacteristic
456#103×C71C2311yescharacteristic
457#103×C71C2311yescharacteristic
458#103×C71C2311yescharacteristic
459#103×C71C2311yescharacteristic
460#103×C71C2311yescharacteristic
461#103×C71C2311yescharacteristic
462#103×C71C2311yescharacteristic
463#103×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
472#102×C71C2311yescharacteristic
473#102×C71C2311yescharacteristic
474C22⋊C8×C71C2311yescharacteristic
475C22⋊C8×C71C2311yescharacteristic
476C22⋊C8×C71C2311yescharacteristic
477C22⋊C8×C71C2311yescharacteristic
478C22⋊C8×C71C2311yescharacteristic
479C22⋊C8×C71C2311yescharacteristic
480C22⋊C8×C71C2311yescharacteristic
481C22⋊C8×C71C2311yescharacteristic
482C22⋊C8×C71C2311yescharacteristic
483C22⋊C8×C71C2311yescharacteristic
484C22⋊C8×C71C2311yescharacteristic
485C22⋊C8×C71C2311yescharacteristic
486#97×C71C2311yescharacteristic
487#97×C71C2311yescharacteristic
488C4×C8×C71C2311yescharacteristic
489C4×C8×C71C2311yescharacteristic
490C24×C71—21no—
491C24×C71C2×D411yescharacteristic
492#41×C71—22no—
493#41×C71—22no—
494#41×C71—22no—
495#41×C71—22no—
496#41×C71—22no—
497#41×C71—22no—
498#41×C71—41no—
499#41×C71—41no—
500#41×C71—41no—
501#41×C71—41no—
502#41×C71—41no—
503#41×C71—41no—
504#41×C71—41no—
505#41×C71—41no—
506#41×C71—44no—
507#41×C71—44no—
508#41×C71—41no—
509#41×C71—41no—
510#41×C71—41no—
511#41×C71—41no—
512#41×C71—44no—
513#41×C71—44no—
514#41×C71—44no—
515C2×Q8×C71—21no—
516C2×Q8×C71—21no—
517C2×Q8×C71—21no—
518C2×Q8×C71—21no—
519C2×Q8×C71—21no—
520C2×Q8×C71—21no—
521C2×Q8×C71—21no—
522C2×Q8×C71—22no—
523C2×Q8×C71—22no—
524C2×Q8×C71—22no—
525C2×Q8×C71—41no—
526C2×Q8×C71—41no—
527C2×Q8×C71—41no—
528C2×Q8×C71—41no—
529C2×Q8×C71—41no—
530C2×Q8×C71—44no—
531C2×Q8×C71—41no—
532C2×Q8×C71—41no—
533C2×Q8×C71—41no—
534C2×Q8×C71—41no—
535C2×Q8×C71C2×D411yescharacteristic
536C2×Q8×C71C2411yescharacteristic
537C2×Q8×C71C2411yescharacteristic
538C2×Q8×C71C2411yescharacteristic
539C2×Q8×C71C2411yescharacteristic
540C2×Q8×C71C2411yescharacteristic
541C2×Q8×C71C2411yescharacteristic
542C2×Q8×C71C2411yescharacteristic
543C2×D4×C71—21no—
544C2×D4×C71—22no—
545C2×D4×C71—21no—
546C2×D4×C71—21no—
547C2×D4×C71—21no—
548C2×D4×C71—21no—
549C2×D4×C71—21no—
550C2×D4×C71—21no—
551C2×D4×C71—21no—
552C2×D4×C71—21no—
553C2×D4×C71—21no—
554C2×D4×C71—21no—
555C2×D4×C71—21no—
556C2×D4×C71—21no—
557C2×D4×C71—21no—
558C2×D4×C71—41no—
559C2×D4×C71—44no—
560C2×D4×C71C2×D411yescharacteristic
561C2×D4×C71C2×D411yescharacteristic
562C2×D4×C71C2×D411yescharacteristic
563C2×D4×C71C2×D411yescharacteristic
564C2×D4×C71C2×D411yescharacteristic
565C2×D4×C71C2×D411yescharacteristic
566C2×D4×C71C2×D411yescharacteristic
567C2×D4×C71C2411yescharacteristic
568C2×D4×C71C2411yescharacteristic
569C2×D4×C71C2411yescharacteristic
570C22×C4×C71—21no—
571C22×C4×C71—21no—
572C22×C4×C71—21no—
573C22×C4×C71—21no—
574C22×C4×C71—21no—
575C22×C4×C71—21no—
576C22×C4×C71—21no—
577C22×C4×C71—21no—
578C22×C4×C71—21no—
579C22×C4×C71—21no—
580C22×C4×C71—21no—
581C22×C4×C71—21no—
582C22×C4×C71—21no—
583C22×C4×C71—21no—
584C22×C4×C71—21no—
585C22×C4×C71—21no—
586C22×C4×C71—21no—
587C22×C4×C71—21no—
588C22×C4×C71—21no—
589C22×C4×C71—21no—
590C22×C4×C71—41no—
591C22×C4×C71—41no—
592C22×C4×C71—44no—
593C22×C4×C71C2×D411yescharacteristic
594C22×C4×C71C2×D411yescharacteristic
595C22×C4×C71C2×D411yescharacteristic
596C22×C4×C71C2411yescharacteristic
597C22×C4×C71C2411yescharacteristic
598C22×C4×C71C2411yescharacteristic
599C22×C4×C71C2411yescharacteristic
600C22×C4×C71C2411yescharacteristic
601Q16×C71—22no—
602Q16×C71—22no—
603Q16×C71—22no—
604Q16×C71—41no—
605Q16×C71—41no—
606Q16×C71—41no—
607Q16×C71—41no—
608Q16×C71—41no—
609Q16×C71—41no—
610Q16×C71—41no—
611Q16×C71—41no—
612Q16×C71—41no—
613SD16×C71—22no—
614SD16×C71—22no—
615SD16×C71—22no—
616SD16×C71—22no—
617SD16×C71—41no—
618SD16×C71—41no—
619SD16×C71—41no—
620SD16×C71—41no—
621SD16×C71—41no—
622SD16×C71—41no—
623D8×C71—22no—
624D8×C71—41no—
625M16×C71—41no—
626M16×C71—41no—
627C2×C8×C71—41no—
628C2×C8×C71—41no—
629C2×C8×C71—41no—
630C2×C8×C71—41no—
631C2×C8×C71—41no—
632C2×C8×C71—41no—
633C2×C8×C71C2411yescharacteristic
634C2×C8×C71C2411yescharacteristic
635C2×C8×C71C2411yescharacteristic
636C2×C8×C71C2411yescharacteristic
637C2×C8×C71C2411yescharacteristic
638C2×C8×C71C2411yescharacteristic
639C2×C8×C71C2411yescharacteristic
640C2×C8×C71C2411yescharacteristic
641C4⋊C4×C71—21no—
642C4⋊C4×C71—21no—
643C4⋊C4×C71—21no—
644C4⋊C4×C71—21no—
645C4⋊C4×C71—21no—
646C4⋊C4×C71—21no—
647C4⋊C4×C71—21no—
648C4⋊C4×C71—21no—
649C4⋊C4×C71—21no—
650C4⋊C4×C71—21no—
651C4⋊C4×C71—21no—
652C4⋊C4×C71—21no—
653C4⋊C4×C71—21no—
654C4⋊C4×C71—21no—
655C4⋊C4×C71—21no—
656C4⋊C4×C71—21no—
657C4⋊C4×C71—21no—
658C4⋊C4×C71—21no—
659C4⋊C4×C71—21no—
660C4⋊C4×C71—21no—
661C4⋊C4×C71—21no—
662C4⋊C4×C71—21no—
663C4⋊C4×C71—21no—
664C4⋊C4×C71—21no—
665C4⋊C4×C71—21no—
666C4⋊C4×C71—21no—
667C4⋊C4×C71—21no—
668C4⋊C4×C71—21no—
669C4⋊C4×C71—21no—
670C4⋊C4×C71—21no—
671C4⋊C4×C71—21no—
672C4⋊C4×C71—21no—
673C4⋊C4×C71C2×D411yescharacteristic
674C4⋊C4×C71C2×D411yescharacteristic
675C4⋊C4×C71C2×D411yescharacteristic
676C4⋊C4×C71C2×D411yescharacteristic
677C4⋊C4×C71C2×D411yescharacteristic
678C4⋊C4×C71C2×D411yescharacteristic
679C4⋊C4×C71C2411yescharacteristic
680C4⋊C4×C71C2411yescharacteristic
681C4⋊C4×C71C2411yescharacteristic
682C4⋊C4×C71C2411yescharacteristic
683C4⋊C4×C71C2411yescharacteristic
684C4⋊C4×C71C2411yescharacteristic
685C22⋊C4×C71—21no—
686C22⋊C4×C71—21no—
687C22⋊C4×C71—21no—
688C22⋊C4×C71—21no—
689C22⋊C4×C71—21no—
690C22⋊C4×C71—21no—
691C22⋊C4×C71—21no—
692C22⋊C4×C71—21no—
693C22⋊C4×C71—21no—
694C22⋊C4×C71—21no—
695C22⋊C4×C71—21no—
696C22⋊C4×C71—21no—
697C22⋊C4×C71—21no—
698C22⋊C4×C71—21no—
699C22⋊C4×C71—21no—
700C22⋊C4×C71—21no—
701C22⋊C4×C71—21no—
702C22⋊C4×C71—21no—
703C22⋊C4×C71—21no—
704C22⋊C4×C71—21no—
705C22⋊C4×C71—21no—
706C22⋊C4×C71—21no—
707C22⋊C4×C71—21no—
708C22⋊C4×C71—21no—
709C22⋊C4×C71—21no—
710C22⋊C4×C71—21no—
711C22⋊C4×C71—21no—
712C22⋊C4×C71—21no—
713C22⋊C4×C71—21no—
714C22⋊C4×C71—21no—
715C22⋊C4×C71—21no—
716C22⋊C4×C71C2×D411yescharacteristic
717C22⋊C4×C71C2×D411yescharacteristic
718C22⋊C4×C71C2×D411yescharacteristic
719C22⋊C4×C71C2×D411yescharacteristic
720C22⋊C4×C71C2×D411yescharacteristic
721C22⋊C4×C71C2×D411yescharacteristic
722C22⋊C4×C71C2×D411yescharacteristic
723C22⋊C4×C71C2×D411yescharacteristic
724C22⋊C4×C71C2×D411yescharacteristic
725C22⋊C4×C71C2×D411yescharacteristic
726C42×C71—21no—
727C42×C71—21no—
728C42×C71—21no—
729C42×C71—21no—
730C42×C71—21no—
731C42×C71—21no—
732C42×C71—21no—
733C42×C71C2411yescharacteristic
734C42×C71C2411yescharacteristic
735C23×C71—21no—
736C23×C71—22no—
737C23×C71—21no—
738C23×C71—21no—
739C23×C71—41no—
740C23×C71—41no—
741C23×C71—42no—
742C23×C71—42no—
743C23×C71—81no—
744C23×C71C22×D411yescharacteristic
745C23×C71C22×D411yescharacteristic
746C23×C71C22×D411yescharacteristic
747C23×C71C22×D411yescharacteristic
748C23×C71C22×D411yescharacteristic
749Q8×C71—21no—
750Q8×C71—21no—
751Q8×C71—21no—
752Q8×C71—21no—
753Q8×C71—21no—
754Q8×C71—21no—
755Q8×C71—21no—
756Q8×C71—21no—
757Q8×C71—21no—
758Q8×C71—21no—
759Q8×C71—21no—
760Q8×C71—21no—
761Q8×C71—21no—
762Q8×C71—41no—
763Q8×C71—42no—
764Q8×C71—42no—
765Q8×C71—42no—
766Q8×C71—42no—
767Q8×C71—81no—
768Q8×C71—81no—
769Q8×C71—81no—
770Q8×C71H(5,𝔽2)12yes—
771D4×C71—24no—
772D4×C71—22no—
773D4×C71—22no—
774D4×C71—21no—
775D4×C71—21no—
776D4×C71—21no—
777D4×C71—21no—
778D4×C71—21no—
779D4×C71—41no—
780D4×C71—41no—
781D4×C71—41no—
782D4×C71—41no—
783D4×C71—41no—
784D4×C71—42no—
785D4×C71—42no—
786D4×C71—42no—
787D4×C71—42no—
788D4×C71—42no—
789D4×C71—42no—
790D4×C71—42no—
791D4×C71—81no—
792D4×C71—81no—
793D4×C71—81no—
794D4×C71—81no—
795D4×C71—81no—
796D4×C71—81no—
797D4×C71H(5,𝔽2)12yes—
798C2×C4×C71—24no—
799C2×C4×C71—21no—
800C2×C4×C71—21no—
801C2×C4×C71—21no—
802C2×C4×C71—21no—
803C2×C4×C71—21no—
804C2×C4×C71—21no—
805C2×C4×C71—21no—
806C2×C4×C71—21no—
807C2×C4×C71—21no—
808C2×C4×C71—21no—
809C2×C4×C71—21no—
810C2×C4×C71—21no—
811C2×C4×C71—21no—
812C2×C4×C71—21no—
813C2×C4×C71—21no—
814C2×C4×C71—21no—
815C2×C4×C71—21no—
816C2×C4×C71—21no—
817C2×C4×C71—21no—
818C2×C4×C71—21no—
819C2×C4×C71—21no—
820C2×C4×C71—21no—
821C2×C4×C71—21no—
822C2×C4×C71—41no—
823C2×C4×C71—41no—
824C2×C4×C71—41no—
825C2×C4×C71—42no—
826C2×C4×C71—42no—
827C2×C4×C71—42no—
828C2×C4×C71—42no—
829C2×C4×C71—42no—
830C2×C4×C71—42no—
831C2×C4×C71—42no—
832C2×C4×C71—42no—
833C2×C4×C71—42no—
834C2×C4×C71—81no—
835C2×C4×C71—81no—
836C2×C4×C71—81no—
837C2×C4×C71—81no—
838C2×C4×C71—81no—
839C2×C4×C71—81no—
840C2×C4×C71—81no—
841C2×C4×C71—81no—
842C2×C4×C71—81no—
843C2×C4×C71—81no—
844C2×C4×C71C22×D411yescharacteristic
845C2×C4×C71C22×D411yescharacteristic
846C2×C4×C71C22×D411yescharacteristic
847C2×C4×C71C22×D411yescharacteristic
848C2×C4×C71C22×D411yescharacteristic
849C2×C4×C71C22×D411yescharacteristic
850C2×C4×C71C22×D411yescharacteristic
851C2×C4×C71C22×D411yescharacteristic
852C2×C4×C71C22×D411yescharacteristic
853C2×C4×C71C2511yescharacteristic
854C8×C71—21no—
855C8×C71—21no—
856C8×C71—21no—
857C8×C71—21no—
858C8×C71—21no—
859C8×C71—21no—
860C8×C71—21no—
861C8×C71—21no—
862C22×C71—21no—
863C22×C71—21no—
864C22×C71—21no—
865C22×C71—21no—
866C22×C71—21no—
867C22×C71—21no—
868C22×C71—21no—
869C22×C71—22no—
870C22×C71—21no—
871C22×C71—21no—
872C22×C71—21no—
873C22×C71—21no—
874C22×C71—21no—
875C22×C71—21no—
876C22×C71—21no—
877C22×C71—41no—
878C22×C71—41no—
879C22×C71—41no—
880C22×C71—41no—
881C22×C71—41no—
882C22×C71—41no—
883C22×C71—41no—
884C22×C71—41no—
885C22×C71—82no—
886C22×C71—84no—
887C22×C71#57812yes—
888C22×C71C23×D411yescharacteristic
889C4×C71—21no—
890C4×C71—21no—
891C4×C71—21no—
892C4×C71—22no—
893C4×C71—21no—
894C4×C71—21no—
895C4×C71—21no—
896C4×C71—21no—
897C4×C71—21no—
898C4×C71—21no—
899C4×C71—41no—
900C4×C71—41no—
901C4×C71—41no—
902C4×C71—41no—
903C4×C71—41no—
904C4×C71—41no—
905C4×C71—41no—
906C4×C71—41no—
907C4×C71—41no—
908C4×C71—41no—
909C4×C71—41no—
910C4×C71—41no—
911C4×C71C2×H(5,𝔽2)11yescharacteristic
912C4×C71C2×H(5,𝔽2)11yescharacteristic
913#61642C7111yesmaximal, characteristic, direct product factor, Sylow
914C2×C71—22no—
915C2×C71—41no—
916C2×C71—41no—
917C2×C71—41no—
918C2×C71—41no—
919C2×C71—42no—
920C2×C71—81no—
921C2×C71—81no—
922C2×C71#348411yescharacteristic
923C2×C71C2×#57811yescharacteristic
924C2×C71#358411yescharacteristic
925#3541C2×C7111yescharacteristic, complemented
926#3489C2×C7111yescharacteristic, complemented
927#3320C2×C7111yescharacteristic, complemented
928#3315C2×C7111yescharacteristic, complemented
929#3314C2×C7111yescharacteristic, complemented
930#3313C2×C7111yescharacteristic, complemented
931#3302C2×C7111yescharacteristic, complemented
932#3300C2×C7111yescharacteristic, complemented
933#3299C2×C7111yescharacteristic, complemented
934#3297C2×C7111yescharacteristic, complemented
935D4×Q16C2×C7111yescharacteristic, complemented
936#3285C2×C7111yescharacteristic, complemented
937#3283C2×C7111yescharacteristic, complemented
938#3282C2×C7111yescharacteristic, complemented
939#3270C2×C7111yescharacteristic, complemented
940#3269C2×C7111yescharacteristic, complemented
941#3269C2×C7111yescharacteristic, complemented
942#3266C2×C7111yescharacteristic, complemented
943#3225C2×C7111yescharacteristic, complemented
944#3223C2×C7111yescharacteristic, complemented
945#3203C2×C7111yescharacteristic, complemented
946#3201C2×C7111yescharacteristic, complemented
947#3190C2×C7111yescharacteristic, complemented
948#3189C2×C7111yescharacteristic, complemented
949#3124C2×C7111yescharacteristic, complemented
950#3120C2×C7111yescharacteristic, complemented
951#3013C2×C7111yescharacteristic, complemented
952#3011C2×C7111yescharacteristic, complemented
953#3002C2×C7111yescharacteristic, complemented
954C2×#452C2×C7111yescharacteristic, complemented
955#2977C2×C7111yescharacteristic, complemented
956C71#6164211yescharacteristic, direct product factor, Sylow
957C2×2−1+4C22×C7111yescharacteristic
958C22×#41C22×C7111yescharacteristic
959C2×#137C22×C7111yescharacteristic, complemented
960C2×#137C22×C7111yescharacteristic, complemented
961C2×#135C22×C7111yescharacteristic
962C2×#135C22×C7111yescharacteristic
963C2×#135C22×C7111yescharacteristic, complemented
964C22×Q16C22×C7111yescharacteristic
965C22×Q16C22×C7111yescharacteristic, complemented
966C22×SD16C22×C7111yescharacteristic
967#563—21no—
968#562—21no—
969#556C22×C7111yescharacteristic, complemented
970#554—21no—
971#554C22×C7111yescharacteristic
972#553—21no—
973#553C22×C7111yescharacteristic
974#552C22×C7111yescharacteristic, complemented
975D4×Q8C22×C7111yescharacteristic
976D4×Q8C22×C7111yescharacteristic
977D4×Q8C22×C7111yescharacteristic
978#548C22×C7111yescharacteristic
979#548C22×C7111yescharacteristic
980#548C22×C7111yescharacteristic
981#548C22×C7111yescharacteristic, complemented
982#547—21no—
983#547—21no—
984#547C22×C7111yescharacteristic
985#547C22×C7111yescharacteristic
986#547C22×C7111yescharacteristic, complemented
987#546—21no—
988#546—21no—
989#546C22×C7111yescharacteristic
990#546C22×C7111yescharacteristic
991#542—21no—
992#542C22×C7111yescharacteristic, complemented
993#541C22×C7111yescharacteristic, complemented
994#539—21no—
995#538—21no—
996#538—21no—
997#537—21no—
998#537C22×C7111yescharacteristic
999#537C22×C7111yescharacteristic, complemented
1000#536—21no—
1001#536C22×C7111yescharacteristic
1002#536C22×C7111yescharacteristic, complemented
1003#525—21no—
1004#525C22×C7111yescharacteristic
1005#525C22×C7111yescharacteristic
1006C2×C22⋊Q8—21no—
1007C2×C22⋊Q8C22×C7111yescharacteristic
1008C2×C22⋊Q8C22×C7111yescharacteristic
1009#520C22×C7111yescharacteristic
1010#497C22×C7111yescharacteristic, complemented
1011#497C22×C7111yescharacteristic, complemented
1012#495C22×C7111yescharacteristic, complemented
1013#494C22×C7111yescharacteristic, complemented
1014#491C22×C7111yescharacteristic, complemented
1015#489C22×C7111yescharacteristic, complemented
1016#488C22×C7111yescharacteristic, complemented
1017#487C22×C7111yescharacteristic, complemented
1018#485C22×C7111yescharacteristic, complemented
1019#485C22×C7111yescharacteristic, complemented
1020#485C22×C7111yescharacteristic, complemented
1021#484C22×C7111yescharacteristic
1022#484C22×C7111yescharacteristic
1023#484C22×C7111yescharacteristic, complemented
1024#484C22×C7111yescharacteristic, complemented
1025#484C22×C7111yescharacteristic, complemented
1026#483C22×C7111yescharacteristic, complemented
1027#482C22×C7111yescharacteristic, complemented
1028#480C22×C7111yescharacteristic, complemented
1029#480C22×C7111yescharacteristic, complemented
1030#479C22×C7111yescharacteristic, complemented
1031#478C22×C7111yescharacteristic, complemented
1032#477C22×C7111yescharacteristic, complemented
1033#474C22×C7111yescharacteristic, complemented
1034#470C22×C7111yescharacteristic, complemented
1035#468C22×C7111yescharacteristic, complemented
1036#468C22×C7111yescharacteristic, complemented
1037#468C22×C7111yescharacteristic, complemented
1038#467C22×C7111yescharacteristic
1039#467C22×C7111yescharacteristic
1040#467C22×C7111yescharacteristic, complemented
1041#467C22×C7111yescharacteristic, complemented
1042#467C22×C7111yescharacteristic, complemented
1043#467C22×C7111yescharacteristic, complemented
1044#467C22×C7111yescharacteristic, complemented
1045#467C22×C7111yescharacteristic, complemented
1046#466C22×C7111yescharacteristic, complemented
1047#465C22×C7111yescharacteristic
1048#465C22×C7111yescharacteristic
1049#465C22×C7111yescharacteristic, complemented
1050#464C22×C7111yescharacteristic, complemented
1051#464C22×C7111yescharacteristic, complemented
1052#464C22×C7111yescharacteristic, complemented
1053#464C22×C7111yescharacteristic, complemented
1054#463C22×C7111yescharacteristic, complemented
1055#463C22×C7111yescharacteristic, complemented
1056#462C22×C7111yescharacteristic, complemented
1057#462C22×C7111yescharacteristic, complemented
1058#462C22×C7111yescharacteristic, complemented
1059#462C22×C7111yescharacteristic, complemented
1060#461C22×C7111yescharacteristic, complemented
1061#461C22×C7111yescharacteristic, complemented
1062#452C22×C7111yescharacteristic
1063#452C22×C7111yescharacteristic
1064#452C22×C7111yescharacteristic
1065#452C22×C7111yescharacteristic
1066#452C22×C7111yescharacteristic
1067#452C22×C7111yescharacteristic
1068#452C22×C7111yescharacteristic
1069#452C22×C7111yescharacteristic
1070#452C22×C7111yescharacteristic
1071#452C22×C7111yescharacteristic
1072#452C22×C7111yescharacteristic, complemented
1073#452C22×C7111yescharacteristic, complemented
1074#452C22×C7111yescharacteristic, complemented
1075#452C22×C7111yescharacteristic, complemented
1076#452C22×C7111yescharacteristic, complemented
1077#452C22×C7111yescharacteristic, complemented
1078#451C22×C7111yescharacteristic
1079#451C22×C7111yescharacteristic
1080#451C22×C7111yescharacteristic
1081#451C22×C7111yescharacteristic, complemented
1082#451C22×C7111yescharacteristic, complemented
1083#451C22×C7111yescharacteristic, complemented
1084#451C22×C7111yescharacteristic, complemented
1085#451C22×C7111yescharacteristic, complemented
1086#451C22×C7111yescharacteristic, complemented
1087#451C22×C7111yescharacteristic, complemented
1088#450C22×C7111yescharacteristic
1089#449C22×C7111yescharacteristic
1090#449C22×C7111yescharacteristic
1091#449C22×C7111yescharacteristic, complemented
1092#449C22×C7111yescharacteristic, complemented
1093#448C22×C7111yescharacteristic
1094#448C22×C7111yescharacteristic, complemented
1095#448C22×C7111yescharacteristic, complemented
1096#448C22×C7111yescharacteristic, complemented
1097#447C22×C7111yescharacteristic
1098#441C22×C7111yescharacteristic, complemented
1099#440C22×C7111yescharacteristic, complemented
1100#440C22×C7111yescharacteristic, complemented
1101#440C22×C7111yescharacteristic, complemented
1102C4×Q16C22×C7111yescharacteristic, complemented
1103C4×Q16C22×C7111yescharacteristic, complemented
1104C4×SD16C22×C7111yescharacteristic, complemented
1105C4×D8C22×C7111yescharacteristic, complemented
1106#435C22×C7111yescharacteristic
1107#435C22×C7111yescharacteristic
1108#435C22×C7111yescharacteristic, complemented
1109#435C22×C7111yescharacteristic, complemented
1110C8×D4C22×C7111yescharacteristic
1111C8×D4C22×C7111yescharacteristic
1112C8×D4C22×C7111yescharacteristic, complemented
1113C8×D4C22×C7111yescharacteristic, complemented
1114#433C22×C7111yescharacteristic, complemented
1115#433C22×C7111yescharacteristic, complemented
1116#419C22×C7111yescharacteristic, complemented
1117#417C22×C7111yescharacteristic, complemented
1118#416C22×C7111yescharacteristic
1119#416C22×C7111yescharacteristic
1120#416C22×C7111yescharacteristic, complemented
1121C2×#103C22×C7111yescharacteristic
1122C2×#103C22×C7111yescharacteristic, complemented
1123C2×#102C22×C7111yescharacteristic
1124#408C22×C7111yescharacteristic, complemented
1125#408C22×C7111yescharacteristic, complemented
1126C2×C22⋊C8C22×C7111yescharacteristic
1127C2×C22⋊C8C22×C7111yescharacteristic
11282−1+4—42no—
11292−1+4—42no—
1130C2×#41—21no—
1131C2×#41—21no—
1132C2×#41—21no—
1133C2×#41—21no—
1134C2×#41—21no—
1135C2×#41—42no—
1136C2×#41—42no—
1137C2×#41C23×C7111yescharacteristic
1138C2×#41C23×C7111yescharacteristic
1139C2×#41C23×C7111yescharacteristic
1140C2×#41C23×C7111yescharacteristic
1141C2×#41C23×C7111yescharacteristic
1142C2×#41C23×C7111yescharacteristic
1143C2×#41C23×C7111yescharacteristic
1144C2×#41C23×C7111yescharacteristic
1145C2×#41C23×C7111yescharacteristic
1146C22×Q8—21no—
1147C22×Q8C23×C7111yescharacteristic
1148C22×Q8C23×C7111yescharacteristic
1149C22×Q8C23×C7111yescharacteristic
1150C22×Q8C23×C7111yescharacteristic
1151C22×Q8C23×C7111yescharacteristic
1152C22×Q8C23×C7111yescharacteristic
1153C22×D4—21no—
1154C22×D4C23×C7111yescharacteristic
1155C23×C4—21no—
1156C23×C4C23×C7111yescharacteristic
1157#137—42no—
1158#137—42no—
1159#135—42no—
1160#135—42no—
1161#135—42no—
1162C2×Q16—42no—
1163C2×Q16—42no—
1164C2×Q16C23×C7111yescharacteristic
1165C2×Q16C23×C7111yescharacteristic
1166C2×Q16C23×C7111yescharacteristic
1167C2×Q16C23×C7111yescharacteristic
1168C2×Q16C23×C7111yescharacteristic
1169C2×Q16C23×C7111yescharacteristic
1170C2×Q16C23×C7111yescharacteristic
1171C2×Q16C23×C7111yescharacteristic
1172C2×Q16C23×C7111yescharacteristic
1173C2×Q16C23×C7111yescharacteristic
1174C2×Q16C23×C7111yescharacteristic
1175C2×Q16C23×C7111yescharacteristic
1176C2×SD16—42no—
1177C2×SD16C23×C7111yescharacteristic
1178C2×SD16C23×C7111yescharacteristic
1179C2×SD16C23×C7111yescharacteristic
1180C2×SD16C23×C7111yescharacteristic
1181C2×SD16C23×C7111yescharacteristic
1182C2×SD16C23×C7111yescharacteristic
1183C2×SD16C23×C7111yescharacteristic
1184C2×SD16C23×C7111yescharacteristic
1185C2×SD16C23×C7111yescharacteristic
1186C2×SD16C23×C7111yescharacteristic
1187C2×D8C23×C7111yescharacteristic
1188C2×D8C23×C7111yescharacteristic
1189C2×M16C23×C7111yescharacteristic
1190C2×M16C23×C7111yescharacteristic
1191C22×C8C23×C7111yescharacteristic
1192C22×C8C23×C7111yescharacteristic
1193C22×C8C23×C7111yescharacteristic
1194C22×C8C23×C7111yescharacteristic
1195C22×C8C23×C7111yescharacteristic
1196C22×C8C23×C7111yescharacteristic
1197C4⋊Q8—21no—
1198C4⋊Q8—21no—
1199C4⋊Q8—21no—
1200C4⋊Q8—21no—
1201C4⋊Q8C23×C7111yescharacteristic
1202C4⋊Q8C23×C7111yescharacteristic
1203C4⋊Q8C23×C7111yescharacteristic
1204C4⋊Q8C23×C7111yescharacteristic
1205#126—21no—
1206#126—21no—
1207#126—21no—
1208#126—21no—
1209#126—21no—
1210#126—21no—
1211#126—21no—
1212#125—21no—
1213#125—21no—
1214#125—21no—
1215#125—21no—
1216#125C23×C7111yescharacteristic
1217#124—21no—
1218#124—21no—
1219#124—21no—
1220#124—21no—
1221#124—21no—
1222#124—21no—
1223#124—21no—
1224#124C23×C7111yescharacteristic
1225#124C23×C7111yescharacteristic
1226#124C23×C7111yescharacteristic
1227#123—21no—
1228#123—21no—
1229#123—21no—
1230#123—21no—
1231#123—21no—
1232#123—21no—
1233#123—21no—
1234#123—21no—
1235#123—21no—
1236#123—21no—
1237#123—21no—
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123D4×C7111yescharacteristic
1244#123D4×C7111yescharacteristic
1245C22⋊Q8—21no—
1246C22⋊Q8—21no—
1247C22⋊Q8—21no—
1248C22⋊Q8—21no—
1249C22⋊Q8—21no—
1250C22⋊Q8—21no—
1251C22⋊Q8—21no—
1252C22⋊Q8—21no—
1253C22⋊Q8—21no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8D4×C7111yescharacteristic
1267C22⋊Q8D4×C7111yescharacteristic
1268C22⋊Q8C23×C7111yescharacteristic
1269C22⋊Q8C23×C7111yescharacteristic
1270C22⋊Q8C23×C7111yescharacteristic
1271C22⋊Q8C23×C7111yescharacteristic
1272C22⋊Q8C23×C7111yescharacteristic
1273C22⋊Q8C23×C7111yescharacteristic
1274C22⋊Q8C23×C7111yescharacteristic
1275C22⋊Q8C23×C7111yescharacteristic
1276C22⋊Q8C23×C7111yescharacteristic
1277C22⋊Q8C23×C7111yescharacteristic
1278C22⋊Q8C23×C7111yescharacteristic
1279C22⋊Q8C23×C7111yescharacteristic
1280C22⋊Q8C23×C7111yescharacteristic
1281C22⋊Q8C23×C7111yescharacteristic
1282C22⋊Q8C23×C7111yescharacteristic
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121D4×C7111yescharacteristic
1300#121D4×C7111yescharacteristic
1301#121C23×C7111yescharacteristic
1302#121C23×C7111yescharacteristic
1303#121C23×C7111yescharacteristic
1304#121C23×C7111yescharacteristic
1305#121C23×C7111yescharacteristic
1306#120—21no—
1307#120—21no—
1308#120—21no—
1309#120D4×C7111yescharacteristic
1310#120D4×C7111yescharacteristic
1311C4×Q8—21no—
1312C4×Q8C23×C7111yescharacteristic
1313C4×Q8C23×C7111yescharacteristic
1314C4×Q8C23×C7111yescharacteristic
1315C4×Q8C23×C7111yescharacteristic
1316C4×Q8C23×C7111yescharacteristic
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—21no—
1320C4×D4—21no—
1321C4×D4—21no—
1322C4×D4—21no—
1323C4×D4—21no—
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4C23×C7111yescharacteristic
1331C4×D4C23×C7111yescharacteristic
1332C4×D4C23×C7111yescharacteristic
1333C4×D4C23×C7111yescharacteristic
1334C4×D4C23×C7111yescharacteristic
1335C4×D4C23×C7111yescharacteristic
1336C4×D4C23×C7111yescharacteristic
1337#117—21no—
1338#117—21no—
1339#117C23×C7111yescharacteristic
1340#117C23×C7111yescharacteristic
1341#117C23×C7111yescharacteristic
1342C2×C4⋊C4—21no—
1343C2×C4⋊C4—21no—
1344C2×C4⋊C4—21no—
1345C2×C4⋊C4—21no—
1346C2×C4⋊C4—21no—
1347C2×C4⋊C4—21no—
1348C2×C4⋊C4C23×C7111yescharacteristic
1349C2×C4⋊C4C23×C7111yescharacteristic
1350C2×C4⋊C4C23×C7111yescharacteristic
1351C2×C22⋊C4—21no—
1352C2×C22⋊C4—21no—
1353C2×C22⋊C4—21no—
1354C2×C22⋊C4—21no—
1355#107C23×C7111yescharacteristic
1356#107C23×C7111yescharacteristic
1357#107C23×C7111yescharacteristic
1358#107C23×C7111yescharacteristic
1359#107C23×C7111yescharacteristic
1360#107C23×C7111yescharacteristic
1361#106C23×C7111yescharacteristic
1362#106C23×C7111yescharacteristic
1363C4⋊C8C23×C7111yescharacteristic
1364C4⋊C8C23×C7111yescharacteristic
1365C4⋊C8C23×C7111yescharacteristic
1366C4⋊C8C23×C7111yescharacteristic
1367#103C23×C7111yescharacteristic
1368#103C23×C7111yescharacteristic
1369#103C23×C7111yescharacteristic
1370#103C23×C7111yescharacteristic
1371#103C23×C7111yescharacteristic
1372#103C23×C7111yescharacteristic
1373#103C23×C7111yescharacteristic
1374#103C23×C7111yescharacteristic
1375#103C23×C7111yescharacteristic
1376#103C23×C7111yescharacteristic
1377#103C23×C7111yescharacteristic
1378#103C23×C7111yescharacteristic
1379#103C23×C7111yescharacteristic
1380#103C23×C7111yescharacteristic
1381#103C23×C7111yescharacteristic
1382#103C23×C7111yescharacteristic
1383#103C23×C7111yescharacteristic
1384#103C23×C7111yescharacteristic
1385#103C23×C7111yescharacteristic
1386#103C23×C7111yescharacteristic
1387#103C23×C7111yescharacteristic
1388#103C23×C7111yescharacteristic
1389#102C23×C7111yescharacteristic
1390#102C23×C7111yescharacteristic
1391#102C23×C7111yescharacteristic
1392#102C23×C7111yescharacteristic
1393#102C23×C7111yescharacteristic
1394#102C23×C7111yescharacteristic
1395#102C23×C7111yescharacteristic
1396#102C23×C7111yescharacteristic
1397#102C23×C7111yescharacteristic
1398#102C23×C7111yescharacteristic
1399C22⋊C8C23×C7111yescharacteristic
1400C22⋊C8C23×C7111yescharacteristic
1401C22⋊C8C23×C7111yescharacteristic
1402C22⋊C8C23×C7111yescharacteristic
1403C22⋊C8C23×C7111yescharacteristic
1404C22⋊C8C23×C7111yescharacteristic
1405C22⋊C8C23×C7111yescharacteristic
1406C22⋊C8C23×C7111yescharacteristic
1407C22⋊C8C23×C7111yescharacteristic
1408C22⋊C8C23×C7111yescharacteristic
1409C22⋊C8C23×C7111yescharacteristic
1410C22⋊C8C23×C7111yescharacteristic
1411#97C23×C7111yescharacteristic
1412#97C23×C7111yescharacteristic
1413C4×C8C23×C7111yescharacteristic
1414C4×C8C23×C7111yescharacteristic
1415C24—21no—
1416C24C2×D4×C7111yescharacteristic
1417#41—22no—
1418#41—22no—
1419#41—22no—
1420#41—22no—
1421#41—22no—
1422#41—22no—
1423#41—41no—
1424#41—41no—
1425#41—41no—
1426#41—41no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—44no—
1432#41—44no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—44no—
1438#41—44no—
1439#41—44no—
1440C2×Q8—21no—
1441C2×Q8—21no—
1442C2×Q8—21no—
1443C2×Q8—21no—
1444C2×Q8—21no—
1445C2×Q8—21no—
1446C2×Q8—21no—
1447C2×Q8—22no—
1448C2×Q8—22no—
1449C2×Q8—22no—
1450C2×Q8—41no—
1451C2×Q8—41no—
1452C2×Q8—41no—
1453C2×Q8—41no—
1454C2×Q8—41no—
1455C2×Q8—44no—
1456C2×Q8—41no—
1457C2×Q8—41no—
1458C2×Q8—41no—
1459C2×Q8—41no—
1460C2×Q8C2×D4×C7111yescharacteristic
1461C2×Q8C24×C7111yescharacteristic
1462C2×Q8C24×C7111yescharacteristic
1463C2×Q8C24×C7111yescharacteristic
1464C2×Q8C24×C7111yescharacteristic
1465C2×Q8C24×C7111yescharacteristic
1466C2×Q8C24×C7111yescharacteristic
1467C2×Q8C24×C7111yescharacteristic
1468C2×D4—21no—
1469C2×D4—22no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—41no—
1484C2×D4—44no—
1485C2×D4C2×D4×C7111yescharacteristic
1486C2×D4C2×D4×C7111yescharacteristic
1487C2×D4C2×D4×C7111yescharacteristic
1488C2×D4C2×D4×C7111yescharacteristic
1489C2×D4C2×D4×C7111yescharacteristic
1490C2×D4C2×D4×C7111yescharacteristic
1491C2×D4C2×D4×C7111yescharacteristic
1492C2×D4C24×C7111yescharacteristic
1493C2×D4C24×C7111yescharacteristic
1494C2×D4C24×C7111yescharacteristic
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—21no—
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—41no—
1516C22×C4—41no—
1517C22×C4—44no—
1518C22×C4C2×D4×C7111yescharacteristic
1519C22×C4C2×D4×C7111yescharacteristic
1520C22×C4C2×D4×C7111yescharacteristic
1521C22×C4C24×C7111yescharacteristic
1522C22×C4C24×C7111yescharacteristic
1523C22×C4C24×C7111yescharacteristic
1524C22×C4C24×C7111yescharacteristic
1525C22×C4C24×C7111yescharacteristic
1526Q16—22no—
1527Q16—22no—
1528Q16—22no—
1529Q16—41no—
1530Q16—41no—
1531Q16—41no—
1532Q16—41no—
1533Q16—41no—
1534Q16—41no—
1535Q16—41no—
1536Q16—41no—
1537Q16—41no—
1538SD16—22no—
1539SD16—22no—
1540SD16—22no—
1541SD16—22no—
1542SD16—41no—
1543SD16—41no—
1544SD16—41no—
1545SD16—41no—
1546SD16—41no—
1547SD16—41no—
1548D8—22no—
1549D8—41no—
1550M16—41no—
1551M16—41no—
1552C2×C8—41no—
1553C2×C8—41no—
1554C2×C8—41no—
1555C2×C8—41no—
1556C2×C8—41no—
1557C2×C8—41no—
1558C2×C8C24×C7111yescharacteristic
1559C2×C8C24×C7111yescharacteristic
1560C2×C8C24×C7111yescharacteristic
1561C2×C8C24×C7111yescharacteristic
1562C2×C8C24×C7111yescharacteristic
1563C2×C8C24×C7111yescharacteristic
1564C2×C8C24×C7111yescharacteristic
1565C2×C8C24×C7111yescharacteristic
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4C2×D4×C7111yescharacteristic
1599C4⋊C4C2×D4×C7111yescharacteristic
1600C4⋊C4C2×D4×C7111yescharacteristic
1601C4⋊C4C2×D4×C7111yescharacteristic
1602C4⋊C4C2×D4×C7111yescharacteristic
1603C4⋊C4C2×D4×C7111yescharacteristic
1604C4⋊C4C24×C7111yescharacteristic
1605C4⋊C4C24×C7111yescharacteristic
1606C4⋊C4C24×C7111yescharacteristic
1607C4⋊C4C24×C7111yescharacteristic
1608C4⋊C4C24×C7111yescharacteristic
1609C4⋊C4C24×C7111yescharacteristic
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4C2×D4×C7111yescharacteristic
1642C22⋊C4C2×D4×C7111yescharacteristic
1643C22⋊C4C2×D4×C7111yescharacteristic
1644C22⋊C4C2×D4×C7111yescharacteristic
1645C22⋊C4C2×D4×C7111yescharacteristic
1646C22⋊C4C2×D4×C7111yescharacteristic
1647C22⋊C4C2×D4×C7111yescharacteristic
1648C22⋊C4C2×D4×C7111yescharacteristic
1649C22⋊C4C2×D4×C7111yescharacteristic
1650C22⋊C4C2×D4×C7111yescharacteristic
1651C42—21no—
1652C42—21no—
1653C42—21no—
1654C42—21no—
1655C42—21no—
1656C42—21no—
1657C42—21no—
1658C42C24×C7111yescharacteristic
1659C42C24×C7111yescharacteristic
1660C23—21no—
1661C23—22no—
1662C23—21no—
1663C23—21no—
1664C23—41no—
1665C23—41no—
1666C23—42no—
1667C23—42no—
1668C23—81no—
1669C23C22×D4×C7111yescharacteristic
1670C23C22×D4×C7111yescharacteristic
1671C23C22×D4×C7111yescharacteristic
1672C23C22×D4×C7111yescharacteristic
1673C23C22×D4×C7111yescharacteristic
1674Q8—21no—
1675Q8—21no—
1676Q8—21no—
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—41no—
1688Q8—42no—
1689Q8—42no—
1690Q8—42no—
1691Q8—42no—
1692Q8—81no—
1693Q8—81no—
1694Q8—81no—
1695Q8H(5,𝔽2)×C7112yes—
1696D4—24no—
1697D4—22no—
1698D4—22no—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—41no—
1705D4—41no—
1706D4—41no—
1707D4—41no—
1708D4—41no—
1709D4—42no—
1710D4—42no—
1711D4—42no—
1712D4—42no—
1713D4—42no—
1714D4—42no—
1715D4—42no—
1716D4—81no—
1717D4—81no—
1718D4—81no—
1719D4—81no—
1720D4—81no—
1721D4—81no—
1722D4H(5,𝔽2)×C7112yes—
1723C2×C4—24no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—42no—
1751C2×C4—42no—
1752C2×C4—42no—
1753C2×C4—42no—
1754C2×C4—42no—
1755C2×C4—42no—
1756C2×C4—42no—
1757C2×C4—42no—
1758C2×C4—42no—
1759C2×C4—81no—
1760C2×C4—81no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—81no—
1767C2×C4—81no—
1768C2×C4—81no—
1769C2×C4C22×D4×C7111yescharacteristic
1770C2×C4C22×D4×C7111yescharacteristic
1771C2×C4C22×D4×C7111yescharacteristic
1772C2×C4C22×D4×C7111yescharacteristic
1773C2×C4C22×D4×C7111yescharacteristic
1774C2×C4C22×D4×C7111yescharacteristic
1775C2×C4C22×D4×C7111yescharacteristic
1776C2×C4C22×D4×C7111yescharacteristic
1777C2×C4C22×D4×C7111yescharacteristic
1778C2×C4C25×C7111yescharacteristic
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—21no—
1783C8—21no—
1784C8—21no—
1785C8—21no—
1786C8—21no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—21no—
1794C22—21no—
1795C22—21no—
1796C22—21no—
1797C22—21no—
1798C22—22no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—82no—
1811C22—84no—
1812C22#578×C7112yes—
1813C22C23×D4×C7111yescharacteristic
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—21no—
1818C4—21no—
1819C4—22no—
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4C2×H(5,𝔽2)×C7111yescharacteristic
1837C4C2×H(5,𝔽2)×C7111yescharacteristic
1838C2—22no—
1839C2—41no—
1840C2—41no—
1841C2—41no—
1842C2—41no—
1843C2—42no—
1844C2—81no—
1845C2—81no—
1846C2C71×#348411yescharacteristic
1847C2C2×#578×C7111yescharacteristic
1848C2C71×#358411yescharacteristic
subgroupG/H
center, socleC22×C71C23×D4
commutator, Frattini, cosocleC2×C4C25×C71
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C71 ◁ #525×C71 ◁ G

Complements

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

NH ≅ G/Ntype
1. C71×#3541C2semidirect
2. C71×#3489C2semidirect
3. C71×#3320C2semidirect
4. C71×#3315C2semidirect
5. C71×#3314C2semidirect
6. C71×#3313C2semidirect
7. C71×#3302C2semidirect
8. C71×#3300C2semidirect
9. C71×#3299C2semidirect
10. C71×#3297C2semidirect
11. D4×Q16×C71C2semidirect
12. C71×#3285C2semidirect
13. C71×#3283C2semidirect
14. C71×#3282C2semidirect
15. C71×#3270C2semidirect
16. C71×#3269C2semidirect
17. C71×#3269C2semidirect
18. C71×#3266C2semidirect
19. C71×#3225C2semidirect
20. C71×#3223C2semidirect
21. C71×#3203C2semidirect
22. C71×#3201C2semidirect
23. C71×#3190C2semidirect
24. C71×#3189C2semidirect
25. C71×#3124C2semidirect
26. C71×#3120C2semidirect
27. C71×#3013C2semidirect
28. C71×#3011C2semidirect
29. C71×#3002C2semidirect
30. C2×#452×C71C2semidirect
31. C71×#2977C2semidirect
34. C2×#137×C71C22semidirect
35. C2×#137×C71C22semidirect
38. C2×#135×C71C22semidirect
40. C22×Q16×C71C22semidirect
44. #556×C71C22semidirect
49. #552×C71C22semidirect
56. #548×C71C22semidirect
61. #547×C71C22semidirect
67. #542×C71C22semidirect
68. #541×C71C22semidirect
74. #537×C71C22semidirect
77. #536×C71C22semidirect
85. #497×C71C22semidirect
86. #497×C71C22semidirect
87. #495×C71C22semidirect
88. #494×C71C22semidirect
89. #491×C71C22semidirect
90. #489×C71C22semidirect
91. #488×C71C22semidirect
92. #487×C71C22semidirect
93. #485×C71C22semidirect
94. #485×C71C22semidirect
95. #485×C71C22semidirect
98. #484×C71C22semidirect
99. #484×C71C22semidirect
100. #484×C71C22semidirect
101. #483×C71C22semidirect
102. #482×C71C22semidirect
103. #480×C71C22semidirect
104. #480×C71C22semidirect
105. #479×C71C22semidirect
106. #478×C71C22semidirect
107. #477×C71C22semidirect
108. #474×C71C22semidirect
109. #470×C71C22semidirect
110. #468×C71C22semidirect
111. #468×C71C22semidirect
112. #468×C71C22semidirect
115. #467×C71C22semidirect
116. #467×C71C22semidirect
117. #467×C71C22semidirect
118. #467×C71C22semidirect
119. #467×C71C22semidirect
120. #467×C71C22semidirect
121. #466×C71C22semidirect
124. #465×C71C22semidirect
125. #464×C71C22semidirect
126. #464×C71C22semidirect
127. #464×C71C22semidirect
128. #464×C71C22semidirect
129. #463×C71C22semidirect
130. #463×C71C22semidirect
131. #462×C71C22semidirect
132. #462×C71C22semidirect
133. #462×C71C22semidirect
134. #462×C71C22semidirect
135. #461×C71C22semidirect
136. #461×C71C22semidirect
147. #452×C71C22semidirect
148. #452×C71C22semidirect
149. #452×C71C22semidirect
150. #452×C71C22semidirect
151. #452×C71C22semidirect
152. #452×C71C22semidirect
156. #451×C71C22semidirect
157. #451×C71C22semidirect
158. #451×C71C22semidirect
159. #451×C71C22semidirect
160. #451×C71C22semidirect
161. #451×C71C22semidirect
162. #451×C71C22semidirect
166. #449×C71C22semidirect
167. #449×C71C22semidirect
169. #448×C71C22semidirect
170. #448×C71C22semidirect
171. #448×C71C22semidirect
173. #441×C71C22semidirect
174. #440×C71C22semidirect
175. #440×C71C22semidirect
176. #440×C71C22semidirect
177. C4×Q16×C71C22semidirect
178. C4×Q16×C71C22semidirect
179. C4×SD16×C71C22semidirect
180. C4×D8×C71C22semidirect
183. #435×C71C22semidirect
184. #435×C71C22semidirect
187. C8×D4×C71C22semidirect
188. C8×D4×C71C22semidirect
189. #433×C71C22semidirect
190. #433×C71C22semidirect
191. #419×C71C22semidirect
192. #417×C71C22semidirect
195. #416×C71C22semidirect
197. C2×#103×C71C22semidirect
199. #408×C71C22semidirect
200. #408×C71C22semidirect
913. #61642C71direct (N × H)
925. #3541C2×C71semidirect
926. #3489C2×C71semidirect
927. #3320C2×C71semidirect
928. #3315C2×C71semidirect
929. #3314C2×C71semidirect
930. #3313C2×C71semidirect
931. #3302C2×C71semidirect
932. #3300C2×C71semidirect
933. #3299C2×C71semidirect
934. #3297C2×C71semidirect
935. D4×Q16C2×C71semidirect
936. #3285C2×C71semidirect
937. #3283C2×C71semidirect
938. #3282C2×C71semidirect
939. #3270C2×C71semidirect
940. #3269C2×C71semidirect
941. #3269C2×C71semidirect
942. #3266C2×C71semidirect
943. #3225C2×C71semidirect
944. #3223C2×C71semidirect
945. #3203C2×C71semidirect
946. #3201C2×C71semidirect
947. #3190C2×C71semidirect
948. #3189C2×C71semidirect
949. #3124C2×C71semidirect
950. #3120C2×C71semidirect
951. #3013C2×C71semidirect
952. #3011C2×C71semidirect
953. #3002C2×C71semidirect
954. C2×#452C2×C71semidirect
955. #2977C2×C71semidirect
956. C71#61642direct (N × H)
959. C2×#137C22×C71semidirect
960. C2×#137C22×C71semidirect
963. C2×#135C22×C71semidirect
965. C22×Q16C22×C71semidirect
969. #556C22×C71semidirect
974. #552C22×C71semidirect
981. #548C22×C71semidirect
986. #547C22×C71semidirect
992. #542C22×C71semidirect
993. #541C22×C71semidirect
999. #537C22×C71semidirect
1002. #536C22×C71semidirect
1010. #497C22×C71semidirect
1011. #497C22×C71semidirect
1012. #495C22×C71semidirect
1013. #494C22×C71semidirect
1014. #491C22×C71semidirect
1015. #489C22×C71semidirect
1016. #488C22×C71semidirect
1017. #487C22×C71semidirect
1018. #485C22×C71semidirect
1019. #485C22×C71semidirect
1020. #485C22×C71semidirect
1023. #484C22×C71semidirect
1024. #484C22×C71semidirect
1025. #484C22×C71semidirect
1026. #483C22×C71semidirect
1027. #482C22×C71semidirect
1028. #480C22×C71semidirect
1029. #480C22×C71semidirect
1030. #479C22×C71semidirect
1031. #478C22×C71semidirect
1032. #477C22×C71semidirect
1033. #474C22×C71semidirect
1034. #470C22×C71semidirect
1035. #468C22×C71semidirect
1036. #468C22×C71semidirect
1037. #468C22×C71semidirect
1040. #467C22×C71semidirect
1041. #467C22×C71semidirect
1042. #467C22×C71semidirect
1043. #467C22×C71semidirect
1044. #467C22×C71semidirect
1045. #467C22×C71semidirect
1046. #466C22×C71semidirect
1049. #465C22×C71semidirect
1050. #464C22×C71semidirect
1051. #464C22×C71semidirect
1052. #464C22×C71semidirect
1053. #464C22×C71semidirect
1054. #463C22×C71semidirect
1055. #463C22×C71semidirect
1056. #462C22×C71semidirect
1057. #462C22×C71semidirect
1058. #462C22×C71semidirect
1059. #462C22×C71semidirect
1060. #461C22×C71semidirect
1061. #461C22×C71semidirect
1072. #452C22×C71semidirect
1073. #452C22×C71semidirect
1074. #452C22×C71semidirect
1075. #452C22×C71semidirect
1076. #452C22×C71semidirect
1077. #452C22×C71semidirect
1081. #451C22×C71semidirect
1082. #451C22×C71semidirect
1083. #451C22×C71semidirect
1084. #451C22×C71semidirect
1085. #451C22×C71semidirect
1086. #451C22×C71semidirect
1087. #451C22×C71semidirect
1091. #449C22×C71semidirect
1092. #449C22×C71semidirect
1094. #448C22×C71semidirect
1095. #448C22×C71semidirect
1096. #448C22×C71semidirect
1098. #441C22×C71semidirect
1099. #440C22×C71semidirect
1100. #440C22×C71semidirect
1101. #440C22×C71semidirect
1102. C4×Q16C22×C71semidirect
1103. C4×Q16C22×C71semidirect
1104. C4×SD16C22×C71semidirect
1105. C4×D8C22×C71semidirect
1108. #435C22×C71semidirect
1109. #435C22×C71semidirect
1112. C8×D4C22×C71semidirect
1113. C8×D4C22×C71semidirect
1114. #433C22×C71semidirect
1115. #433C22×C71semidirect
1116. #419C22×C71semidirect
1117. #417C22×C71semidirect
1120. #416C22×C71semidirect
1122. C2×#103C22×C71semidirect
1124. #408C22×C71semidirect
1125. #408C22×C71semidirect

Maximal subgroups

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

subgroupindex
C71×#35412
C71×#34892
C71×#33202
C71×#33152
C71×#33142
C71×#33132
C71×#33022
C71×#33002
C71×#32992
C71×#32972
D4×Q16×C712
C71×#32852
C71×#32832
C71×#32822
C71×#32702
C71×#32692
C71×#32662
C71×#32252
C71×#32232
C71×#32032
C71×#32012
C71×#31902
C71×#31892
C71×#31242
C71×#31202
C71×#30132
C71×#30112
C71×#30022
C2×#452×C712
C71×#29772
#6164271