Finite Group Databasebeta

← C71×#26835 #31847707

Subgroups — C71×#26835 #31847707

Order 18176.

846 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#488×C71C211yesmaximal, characteristic, complemented
2C2×#442×C71C211yesmaximal, characteristic
3C71×#2454C211yesmaximal, characteristic, complemented
4C71×#2447C211yesmaximal, characteristic, complemented
5C71×#2066C211yesmaximal, characteristic, complemented
6C71×#2059C211yesmaximal, characteristic, complemented
7C71×#2054C211yesmaximal, characteristic
8C71×#2012C211yesmaximal, characteristic
9C71×#1973C211yesmaximal, characteristic, complemented
10C71×#1936C211yesmaximal, characteristic, complemented
11C71×#1935C211yesmaximal, characteristic, complemented
12C71×#1934C211yesmaximal, characteristic, complemented
13C71×#1877C211yesmaximal, characteristic, complemented
14C71×#1862C211yesmaximal, characteristic, complemented
15C71×#1771C211yesmaximal, characteristic, complemented
16C22×SD16×C71C2211yescharacteristic
17C22×D8×C71C2211yescharacteristic
18C2×#125×C71C2211yescharacteristic
19C2×#124×C71C2211yescharacteristic
20C2×C4×D4×C71C2211yescharacteristic
21C2×C4×D4×C71C2211yescharacteristic
22#488×C71—24no—
23#442×C71—24no—
24C2×#107×C71C2211yescharacteristic
25C2×#106×C71C2211yescharacteristic
26C2×C4⋊C8×C71C2211yescharacteristic
27C2×#103×C71C2211yescharacteristic
28C2×#103×C71C2211yescharacteristic
29C2×#103×C71C2211yescharacteristic
30C2×#102×C71C2211yescharacteristic
31C2×#102×C71C2211yescharacteristic
32C2×#102×C71C2211yescharacteristic
33C2×#102×C71C2211yescharacteristic
34C2×#102×C71C2211yescharacteristic
35C2×#97×C71C2211yescharacteristic
36C2×#97×C71C2211yescharacteristic
37C2×C4×C8×C71C2211yescharacteristic
38#399×C71—21no—
39#397×C71—21no—
40#397×C71—21no—
41#396×C71—21no—
42#391×C71C2211yescharacteristic
43#391×C71C2211yescharacteristic
44#390×C71C2211yescharacteristic
45#390×C71C2211yescharacteristic
46#390×C71C2211yescharacteristic
47#389×C71C2211yescharacteristic
48#389×C71C2211yescharacteristic
49#389×C71C2211yescharacteristic
50#385×C71—21no—
51#385×C71—21no—
52#381×C71—21no—
53#380×C71—21no—
54C4×C4⋊C4×C71C2211yescharacteristic
55#340×C71C2211yescharacteristic
56#340×C71C2211yescharacteristic
57#340×C71C2211yescharacteristic
58#340×C71C2211yescharacteristic
59#336×C71C2211yescharacteristic
60#336×C71C2211yescharacteristic
61C22×Q8×C71C2311yescharacteristic
62C22×D4×C71C2311yescharacteristic
63C22×D4×C71C2311yescharacteristic
64C23×C4×C71—21no—
65C23×C4×C71—21no—
66C2×SD16×C71—22no—
67C2×SD16×C71—22no—
68C2×SD16×C71—41no—
69C2×D8×C71—22no—
70C2×D8×C71—22no—
71C2×D8×C71—22no—
72C22×C8×C71C2311yescharacteristic
73C22×C8×C71C2311yescharacteristic
74C22×C8×C71C2311yescharacteristic
75C22×C8×C71C2311yescharacteristic
76#125×C71—22no—
77#125×C71—41no—
78#124×C71—22no—
79#124×C71—41no—
80C4×D4×C71—22no—
81C4×D4×C71—22no—
82C4×D4×C71—41no—
83C4×D4×C71—41no—
84C2×C4⋊C4×C71—21no—
85C2×C4⋊C4×C71—21no—
86C2×C4⋊C4×C71—21no—
87C2×C4⋊C4×C71—21no—
88C2×C4⋊C4×C71—21no—
89C2×C4⋊C4×C71D411yescharacteristic
90C2×C4⋊C4×C71D411yescharacteristic
91C2×C4⋊C4×C71C2311yescharacteristic
92C2×C4⋊C4×C71C2311yescharacteristic
93C2×C4⋊C4×C71C2311yescharacteristic
94C2×C4⋊C4×C71C2311yescharacteristic
95C2×C4⋊C4×C71C2311yescharacteristic
96C2×C22⋊C4×C71—21no—
97C2×C22⋊C4×C71—21no—
98C2×C22⋊C4×C71—21no—
99C2×C22⋊C4×C71—21no—
100C2×C22⋊C4×C71—21no—
101C2×C22⋊C4×C71—21no—
102C2×C22⋊C4×C71—21no—
103C2×C22⋊C4×C71—21no—
104C2×C22⋊C4×C71—21no—
105C2×C22⋊C4×C71—21no—
106C2×C42×C71C2311yescharacteristic
107C2×C42×C71C2311yescharacteristic
108C2×C42×C71C2311yescharacteristic
109#107×C71—41no—
110#106×C71—22no—
111C4⋊C8×C71—22no—
112#103×C71—22no—
113#103×C71—22no—
114#103×C71—22no—
115#102×C71—22no—
116#102×C71—22no—
117#102×C71—22no—
118#102×C71—22no—
119#102×C71D414yes—
120#97×C71—22no—
121#97×C71—22no—
122C4×C8×C71—22no—
123#95×C71—21no—
124#95×C71—21no—
125#95×C71—21no—
126#95×C71—21no—
127#95×C71—21no—
128#95×C71—21no—
129#95×C71—21no—
130#95×C71D411yescharacteristic
131#95×C71D411yescharacteristic
132C24×C71—21no—
133C24×C71—21no—
134C2×Q8×C71—21no—
135C2×Q8×C71—21no—
136C2×Q8×C71—21no—
137C2×Q8×C71—21no—
138C2×Q8×C71—21no—
139C2×Q8×C71—21no—
140C2×D4×C71—21no—
141C2×D4×C71—21no—
142C2×D4×C71—21no—
143C2×D4×C71—21no—
144C2×D4×C71—21no—
145C2×D4×C71—21no—
146C2×D4×C71—21no—
147C2×D4×C71—21no—
148C2×D4×C71—21no—
149C2×D4×C71—21no—
150C2×D4×C71C2×D412yes—
151C2×D4×C71#4112yes—
152C22×C4×C71—21no—
153C22×C4×C71—21no—
154C22×C4×C71—21no—
155C22×C4×C71—21no—
156C22×C4×C71—21no—
157C22×C4×C71—21no—
158C22×C4×C71—42no—
159C22×C4×C71—42no—
160C22×C4×C71—42no—
161C22×C4×C71—42no—
162C22×C4×C71—81no—
163C22×C4×C71—81no—
164C22×C4×C71C2×D411yescharacteristic
165C22×C4×C71C2×D411yescharacteristic
166C22×C4×C71C2×D411yescharacteristic
167C22×C4×C71C2×D411yescharacteristic
168C22×C4×C71C2×D411yescharacteristic
169C22×C4×C71C2×D411yescharacteristic
170C22×C4×C71C2411yescharacteristic
171SD16×C71—44no—
172D8×C71—28no—
173C2×C8×C71—21no—
174C2×C8×C71—21no—
175C2×C8×C71—21no—
176C2×C8×C71—21no—
177C2×C8×C71—21no—
178C2×C8×C71—21no—
179C2×C8×C71—21no—
180C2×C8×C71—21no—
181C2×C8×C71—21no—
182C2×C8×C71C2×D412yes—
183C2×C8×C71#4112yes—
184C2×C8×C71#4112yes—
185C4⋊C4×C71—21no—
186C4⋊C4×C71—21no—
187C4⋊C4×C71—21no—
188C4⋊C4×C71—21no—
189C4⋊C4×C71—21no—
190C4⋊C4×C71—21no—
191C4⋊C4×C71—21no—
192C4⋊C4×C71—21no—
193C4⋊C4×C71—21no—
194C4⋊C4×C71—41no—
195C4⋊C4×C71—41no—
196C4⋊C4×C71—42no—
197C4⋊C4×C71—42no—
198C4⋊C4×C71—81no—
199C4⋊C4×C71—81no—
200C4⋊C4×C71—81no—
201C4⋊C4×C71C2×D412yes—
202C22⋊C4×C71—42no—
203C22⋊C4×C71—42no—
204C22⋊C4×C71—42no—
205C22⋊C4×C71—42no—
206C22⋊C4×C71—42no—
207C22⋊C4×C71—42no—
208C22⋊C4×C71—81no—
209C22⋊C4×C71—81no—
210C22⋊C4×C71—81no—
211C22⋊C4×C71—81no—
212C42×C71—21no—
213C42×C71—21no—
214C42×C71—21no—
215C42×C71—21no—
216C42×C71—21no—
217C42×C71—21no—
218C23×C71—22no—
219C23×C71—22no—
220C23×C71—41no—
221C23×C71—41no—
222C23×C71—41no—
223C23×C71—41no—
224C23×C71—41no—
225C23×C71—41no—
226C23×C71—41no—
227C23×C71—41no—
228C23×C71—41no—
229C23×C71—41no—
230C23×C71—41no—
231C23×C71—41no—
232C23×C71C22×D411yescharacteristic
233Q8×C71—41no—
234Q8×C71—41no—
235Q8×C71—41no—
236Q8×C71—41no—
237D4×C71—22no—
238D4×C71—22no—
239D4×C71—22no—
240D4×C71—22no—
241D4×C71—41no—
242D4×C71—41no—
243D4×C71—41no—
244D4×C71—41no—
245C2×C4×C71—21no—
246C2×C4×C71—21no—
247C2×C4×C71—21no—
248C2×C4×C71—21no—
249C2×C4×C71—21no—
250C2×C4×C71—21no—
251C2×C4×C71—22no—
252C2×C4×C71—21no—
253C2×C4×C71—21no—
254C2×C4×C71—21no—
255C2×C4×C71—21no—
256C2×C4×C71—21no—
257C2×C4×C71—21no—
258C2×C4×C71—21no—
259C2×C4×C71—21no—
260C2×C4×C71—21no—
261C2×C4×C71—21no—
262C2×C4×C71—21no—
263C2×C4×C71—21no—
264C2×C4×C71—41no—
265C2×C4×C71—41no—
266C2×C4×C71—41no—
267C2×C4×C71—41no—
268C2×C4×C71—41no—
269C2×C4×C71—41no—
270C2×C4×C71—41no—
271C2×C4×C71—41no—
272C2×C4×C71—41no—
273C2×C4×C71—41no—
274C2×C4×C71—41no—
275C2×C4×C71—41no—
276C2×C4×C71—41no—
277C2×C4×C71—41no—
278C2×C4×C71—41no—
279C2×C4×C71—41no—
280C2×C4×C71—41no—
281C2×C4×C71—84no—
282C2×C4×C71—84no—
283C2×C4×C71C22×D411yescharacteristic
284C2×C4×C71C2×#4111yescharacteristic
285C2×C4×C71C2×#4111yescharacteristic
286C2×C4×C71C2×#4111yescharacteristic
287C2×C4×C71H(5,𝔽2)11yescharacteristic
288C2×C4×C712−1+411yescharacteristic
289C8×C71—22no—
290C8×C71—22no—
291C8×C71—22no—
292C8×C71—41no—
293C22×C71—42no—
294C22×C71—42no—
295C22×C71—42no—
296C22×C71—42no—
297C22×C71—42no—
298C22×C71—42no—
299C22×C71—81no—
300C22×C71—81no—
301C22×C71—81no—
302C22×C71—81no—
303C22×C71—81no—
304C22×C71—81no—
305C22×C71—81no—
306C22×C71—81no—
307C22×C71#53211yescharacteristic
308C22×C71D4211yescharacteristic
309C22×C71#54811yescharacteristic
310C22×C71#57511yescharacteristic
311C22×C71#57511yescharacteristic
312C22×C71#57611yescharacteristic
313C22×C71#57711yescharacteristic
314C4×C71—41no—
315C4×C71—41no—
316C4×C71—41no—
317C4×C71—41no—
318C4×C71—42no—
319C4×C71—41no—
320C4×C71—41no—
321C4×C71—81no—
322C4×C71—81no—
323C4×C71—81no—
324C4×C71—81no—
325C4×C71—81no—
326C4×C71#52511yescharacteristic
327C4×C71#54211yescharacteristic
328C4×C71#54711yescharacteristic
329C4×C71#55111yescharacteristic
330#26835C7111yesmaximal, characteristic, direct product factor, Sylow
331C2×C71—82no—
332C2×C71—82no—
333C2×C71#246111yescharacteristic
334C2×C71#317911yescharacteristic
335C2×C71#318311yescharacteristic
336C2×C71#326711yescharacteristic
337C2×C71#326811yescharacteristic
338C2×C71#337011yescharacteristic
339C2×C71#337611yescharacteristic
340C2×#488C2×C7111yescharacteristic, complemented
341C2×#442C2×C7111yescharacteristic
342#2454C2×C7111yescharacteristic, complemented
343#2447C2×C7111yescharacteristic, complemented
344#2066C2×C7111yescharacteristic, complemented
345#2059C2×C7111yescharacteristic, complemented
346#2054C2×C7111yescharacteristic
347#2012C2×C7111yescharacteristic
348#1973C2×C7111yescharacteristic, complemented
349#1936C2×C7111yescharacteristic, complemented
350#1935C2×C7111yescharacteristic, complemented
351#1934C2×C7111yescharacteristic, complemented
352#1877C2×C7111yescharacteristic, complemented
353#1862C2×C7111yescharacteristic, complemented
354#1771C2×C7111yescharacteristic, complemented
355C71#2683511yescharacteristic, direct product factor, Sylow
356C22×SD16C22×C7111yescharacteristic
357C22×D8C22×C7111yescharacteristic
358C2×#125C22×C7111yescharacteristic
359C2×#124C22×C7111yescharacteristic
360C2×C4×D4C22×C7111yescharacteristic
361C2×C4×D4C22×C7111yescharacteristic
362#488—24no—
363#442—24no—
364C2×#107C22×C7111yescharacteristic
365C2×#106C22×C7111yescharacteristic
366C2×C4⋊C8C22×C7111yescharacteristic
367C2×#103C22×C7111yescharacteristic
368C2×#103C22×C7111yescharacteristic
369C2×#103C22×C7111yescharacteristic
370C2×#102C22×C7111yescharacteristic
371C2×#102C22×C7111yescharacteristic
372C2×#102C22×C7111yescharacteristic
373C2×#102C22×C7111yescharacteristic
374C2×#102C22×C7111yescharacteristic
375C2×#97C22×C7111yescharacteristic
376C2×#97C22×C7111yescharacteristic
377C2×C4×C8C22×C7111yescharacteristic
378#399—21no—
379#397—21no—
380#397—21no—
381#396—21no—
382#391C22×C7111yescharacteristic
383#391C22×C7111yescharacteristic
384#390C22×C7111yescharacteristic
385#390C22×C7111yescharacteristic
386#390C22×C7111yescharacteristic
387#389C22×C7111yescharacteristic
388#389C22×C7111yescharacteristic
389#389C22×C7111yescharacteristic
390#385—21no—
391#385—21no—
392#381—21no—
393#380—21no—
394C4×C4⋊C4C22×C7111yescharacteristic
395#340C22×C7111yescharacteristic
396#340C22×C7111yescharacteristic
397#340C22×C7111yescharacteristic
398#340C22×C7111yescharacteristic
399#336C22×C7111yescharacteristic
400#336C22×C7111yescharacteristic
401C22×Q8C23×C7111yescharacteristic
402C22×D4C23×C7111yescharacteristic
403C22×D4C23×C7111yescharacteristic
404C23×C4—21no—
405C23×C4—21no—
406C2×SD16—22no—
407C2×SD16—22no—
408C2×SD16—41no—
409C2×D8—22no—
410C2×D8—22no—
411C2×D8—22no—
412C22×C8C23×C7111yescharacteristic
413C22×C8C23×C7111yescharacteristic
414C22×C8C23×C7111yescharacteristic
415C22×C8C23×C7111yescharacteristic
416#125—22no—
417#125—41no—
418#124—22no—
419#124—41no—
420C4×D4—22no—
421C4×D4—22no—
422C4×D4—41no—
423C4×D4—41no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4D4×C7111yescharacteristic
430C2×C4⋊C4D4×C7111yescharacteristic
431C2×C4⋊C4C23×C7111yescharacteristic
432C2×C4⋊C4C23×C7111yescharacteristic
433C2×C4⋊C4C23×C7111yescharacteristic
434C2×C4⋊C4C23×C7111yescharacteristic
435C2×C4⋊C4C23×C7111yescharacteristic
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C42C23×C7111yescharacteristic
447C2×C42C23×C7111yescharacteristic
448C2×C42C23×C7111yescharacteristic
449#107—41no—
450#106—22no—
451C4⋊C8—22no—
452#103—22no—
453#103—22no—
454#103—22no—
455#102—22no—
456#102—22no—
457#102—22no—
458#102—22no—
459#102D4×C7114yes—
460#97—22no—
461#97—22no—
462C4×C8—22no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95D4×C7111yescharacteristic
471#95D4×C7111yescharacteristic
472C24—21no—
473C24—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4C2×D4×C7112yes—
491C2×D4#41×C7112yes—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—81no—
503C22×C4—81no—
504C22×C4C2×D4×C7111yescharacteristic
505C22×C4C2×D4×C7111yescharacteristic
506C22×C4C2×D4×C7111yescharacteristic
507C22×C4C2×D4×C7111yescharacteristic
508C22×C4C2×D4×C7111yescharacteristic
509C22×C4C2×D4×C7111yescharacteristic
510C22×C4C24×C7111yescharacteristic
511SD16—44no—
512D8—28no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8C2×D4×C7112yes—
523C2×C8#41×C7112yes—
524C2×C8#41×C7112yes—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—41no—
535C4⋊C4—41no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—81no—
539C4⋊C4—81no—
540C4⋊C4—81no—
541C4⋊C4C2×D4×C7112yes—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C42—21no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—21no—
557C42—21no—
558C23—22no—
559C23—22no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23C22×D4×C7111yescharacteristic
573Q8—41no—
574Q8—41no—
575Q8—41no—
576Q8—41no—
577D4—22no—
578D4—22no—
579D4—22no—
580D4—22no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—41no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—84no—
623C2×C4C22×D4×C7111yescharacteristic
624C2×C4C2×#41×C7111yescharacteristic
625C2×C4C2×#41×C7111yescharacteristic
626C2×C4C2×#41×C7111yescharacteristic
627C2×C4H(5,𝔽2)×C7111yescharacteristic
628C2×C42−1+4×C7111yescharacteristic
629C8—22no—
630C8—22no—
631C8—22no—
632C8—41no—
633C22—42no—
634C22—42no—
635C22—42no—
636C22—42no—
637C22—42no—
638C22—42no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22#532×C7111yescharacteristic
648C22D42×C7111yescharacteristic
649C22#548×C7111yescharacteristic
650C22#575×C7111yescharacteristic
651C22#575×C7111yescharacteristic
652C22#576×C7111yescharacteristic
653C22#577×C7111yescharacteristic
654C4—41no—
655C4—41no—
656C4—41no—
657C4—41no—
658C4—42no—
659C4—41no—
660C4—41no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4#525×C7111yescharacteristic
667C4#542×C7111yescharacteristic
668C4#547×C7111yescharacteristic
669C4#551×C7111yescharacteristic
670C2—82no—
671C2—82no—
672C2C71×#246111yescharacteristic
673C2C71×#317911yescharacteristic
674C2C71×#318311yescharacteristic
675C2C71×#326711yescharacteristic
676C2C71×#326811yescharacteristic
677C2C71×#337011yescharacteristic
678C2C71×#337611yescharacteristic
subgroupG/H
center, socleC23×C71C22×D4
commutator, Frattini, cosocleC22×C4C24×C71
prime radicalC22×D8×C71C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C71 ◁ C4×C4⋊C4×C71 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#488×C71C2semidirect
3. C71×#2454C2semidirect
4. C71×#2447C2semidirect
5. C71×#2066C2semidirect
6. C71×#2059C2semidirect
9. C71×#1973C2semidirect
10. C71×#1936C2semidirect
11. C71×#1935C2semidirect
12. C71×#1934C2semidirect
13. C71×#1877C2semidirect
14. C71×#1862C2semidirect
15. C71×#1771C2semidirect
330. #26835C71direct (N × H)
340. C2×#488C2×C71semidirect
342. #2454C2×C71semidirect
343. #2447C2×C71semidirect
344. #2066C2×C71semidirect
345. #2059C2×C71semidirect
348. #1973C2×C71semidirect
349. #1936C2×C71semidirect
350. #1935C2×C71semidirect
351. #1934C2×C71semidirect
352. #1877C2×C71semidirect
353. #1862C2×C71semidirect
354. #1771C2×C71semidirect
355. C71#26835direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#488×C712
C2×#442×C712
C71×#24542
C71×#24472
C71×#20662
C71×#20592
C71×#20542
C71×#20122
C71×#19732
C71×#19362
C71×#19352
C71×#19342
C71×#18772
C71×#18622
C71×#17712
#2683571