Finite Group Databasebeta

← #32015577

Subgroups — #32015577

Order 18176.

1010 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×(C22⋊D71)⋊C8C211yesmaximal, characteristic
2C2×#17986034C211yesmaximal, characteristic, complemented
3C22×#14556061C211yesmaximal, characteristic, complemented
4#22591271C211yesmaximal, characteristic
5#22591265C211yesmaximal, characteristic
6#22589109C211yesmaximal, characteristic, complemented
7#22589107C211yesmaximal, characteristic, complemented
8#22588540C211yesmaximal, characteristic, complemented
9#22588538C211yesmaximal, characteristic, complemented
10#22588535C211yesmaximal, characteristic, complemented
11#22588501C211yesmaximal, characteristic, complemented
12#22588368C211yesmaximal, characteristic, complemented
13#22588367C211yesmaximal, characteristic, complemented
14#22588232C211yesmaximal, characteristic, complemented
15C71×#1853C211yesmaximal, characteristic, complemented
16C23×C71⋊C8C2211yescharacteristic
17C22×C8×D71C2211yescharacteristic
18C2×C4×C22⋊D71C2211yescharacteristic
19C2×#14556086C2211yescharacteristic
20C2×#14556086C2211yescharacteristic
21C22×C4⋊Dic71C2211yescharacteristic
22(C22⋊D71)⋊C8C418yescomplemented
23#17986034—24no—
24C2×#14556061—24no—
25C2×#14556061C2211yescharacteristic
26C2×#14556061C2211yescharacteristic
27C2×#14556061C2211yescharacteristic
28C2×#14556061C2211yescharacteristic
29C2×#14556061C2211yescharacteristic
30C2×#14556061C2211yescharacteristic
31C2×#14556060C2211yescharacteristic
32C2×#14556060C2211yescharacteristic
33C2×Dic71⋊C8C2211yescharacteristic
34C2×(C2×D71)⋊C8C2211yescharacteristic
35C2×C8×Dic71C2211yescharacteristic
36#17985891—21no—
37#17985889—21no—
38#17985886—21no—
39#17985880—21no—
40#17985878—21no—
41#17985876—21no—
42#17985864C2211yescharacteristic
43#17985864C2211yescharacteristic
44#17985859C2211yescharacteristic
45#17985856C2211yescharacteristic
46#17985856C2211yescharacteristic
47C4⋊C4×Dic71C2211yescharacteristic
48C4⋊C4×Dic71C2211yescharacteristic
49C22⋊C4×Dic71—21no—
50C4×C22⋊Dic71—21no—
51#17985762C2211yescharacteristic
52#17985762C2211yescharacteristic
53#17985761C2211yescharacteristic
54#17985761C2211yescharacteristic
55C22×C4⋊C4×C71C2211yescharacteristic
56C2×#106×C71C2211yescharacteristic
57C2×#106×C71C2211yescharacteristic
58C2×C22⋊C8×C71C2211yescharacteristic
59#380×C71C2211yescharacteristic
60#340×C71C2211yescharacteristic
61#340×C71C2211yescharacteristic
62C22×C22⋊D71D411yescharacteristic
63C23×Dic71—21no—
64C22×C4×D71C2311yescharacteristic
65C22×C71⋊C8—22no—
66C22×C71⋊C8—22no—
67C22×C71⋊C8C2×C414yes—
68C22×C71⋊C8C2311yescharacteristic
69C22×C71⋊C8C2311yescharacteristic
70C2×C8×D71—22no—
71C2×C8×D71—22no—
72C2×C8×D71C2×C414yescomplemented
73C4×C22⋊D71C2×C414yes—
74C4×C22⋊D71Q814yes—
75#14556086—22no—
76#14556086—22no—
77#14556086—41no—
78#14556086—41no—
79C2×C4⋊Dic71—22no—
80C2×C4⋊Dic71—21no—
81C2×C4⋊Dic71—41no—
82C2×C4⋊Dic71C2311yescharacteristic
83C2×C4⋊Dic71C2311yescharacteristic
84C2×C4⋊Dic71C2311yescharacteristic
85C2×C4⋊Dic71C2311yescharacteristic
86C2×Dic71⋊C4D411yescharacteristic
87C2×C22⋊Dic71—21no—
88C2×C22⋊Dic71D411yescharacteristic
89C2×(C2×D71)⋊C4—21no—
90C2×(C2×D71)⋊C4—21no—
91C2×(C2×D71)⋊C4—21no—
92C2×(C2×D71)⋊C4—21no—
93C2×(C2×D71)⋊C4D411yescharacteristic
94C2×C4×Dic71—21no—
95C2×C4×Dic71—21no—
96C2×C4×Dic71—21no—
97C2×C4×Dic71—21no—
98C2×C4×Dic71C2311yescharacteristic
99#14556061—22no—
100#14556061—22no—
101#14556061—22no—
102#14556061—22no—
103#14556061—22no—
104#14556061D414yescomplemented
105#14556060—22no—
106#14556060—41no—
107Dic71⋊C8C2×C414yescomplemented
108(C2×D71)⋊C8C2×C414yescomplemented
109C8×Dic71C2×C414yescomplemented
110C71⋊#95—21no—
111C71⋊#95—21no—
112C71⋊#95—21no—
113C71⋊#95—21no—
114C71⋊#95—21no—
115C71⋊#95—21no—
116C71⋊#95—21no—
117C71⋊#95—21no—
118C71⋊#95—21no—
119C23×C4×C71—21no—
120C23×C4×C71C2311yescharacteristic
121C22×C8×C71C2311yescharacteristic
122C22×C8×C71C2311yescharacteristic
123C2×C4⋊C4×C71—22no—
124C2×C4⋊C4×C71—21no—
125C2×C4⋊C4×C71—41no—
126C2×C4⋊C4×C71C2311yescharacteristic
127C2×C4⋊C4×C71C2311yescharacteristic
128C2×C4⋊C4×C71C2311yescharacteristic
129C2×C4⋊C4×C71C2311yescharacteristic
130C2×C22⋊C4×C71—21no—
131#106×C71—22no—
132#106×C71—41no—
133C22⋊C8×C71C2×C414yes—
134#95×C71—21no—
135C23×D71C2×D411yescharacteristic
136C2×C22⋊D71—22no—
137C2×C22⋊D71—22no—
138C2×C22⋊D71C4⋊C414yes—
139C22×Dic71—21no—
140C22×Dic71—21no—
141C22×Dic71—21no—
142C22×Dic71—21no—
143C22×Dic71—42no—
144C22×Dic71—42no—
145C22×Dic71—81no—
146C22×Dic71C2×D411yescharacteristic
147C22×Dic71C2×D411yescharacteristic
148C22×Dic71C2×D411yescharacteristic
149C2×C4×D71—21no—
150C2×C4×D71—21no—
151C2×C4×D71—21no—
152C2×C4×D71—21no—
153C2×C4×D71C22×C412yes—
154C2×C4×D71C2×Q812yes—
155C2×C71⋊C8—21no—
156C2×C71⋊C8—21no—
157C2×C71⋊C8—28no—
158C2×C71⋊C8C22×C412yes—
159C2×C71⋊C8C22×C412yes—
160C2×C71⋊C8C2×D412yes—
161C2×C71⋊C8#4112yes—
162C8×D71—28no—
163C4⋊Dic71—21no—
164C4⋊Dic71—21no—
165C4⋊Dic71—21no—
166C4⋊Dic71—21no—
167C4⋊Dic71—21no—
168C4⋊Dic71—21no—
169C4⋊Dic71—21no—
170C4⋊Dic71—42no—
171C4⋊Dic71C2×D412yes—
172Dic71⋊C4C4⋊C414yes—
173C22⋊Dic71—42no—
174C22⋊Dic71C4⋊C414yes—
175(C2×D71)⋊C4—42no—
176(C2×D71)⋊C4—42no—
177(C2×D71)⋊C4—81no—
178(C2×D71)⋊C4—81no—
179(C2×D71)⋊C4C4⋊C414yes—
180C4×Dic71—42no—
181C4×Dic71—42no—
182C4×Dic71—81no—
183C4×Dic71—81no—
184C4×Dic71C22×C412yes—
185C4×Dic71C2×Q812yes—
186C24×C71C2×D411yescharacteristic
187C22×C4×C71—21no—
188C22×C4×C71—21no—
189C22×C4×C71—21no—
190C22×C4×C71—21no—
191C22×C4×C71—21no—
192C22×C4×C71—21no—
193C22×C4×C71—21no—
194C22×C4×C71—21no—
195C22×C4×C71—42no—
196C22×C4×C71—42no—
197C22×C4×C71—81no—
198C22×C4×C71C22×C412yes—
199C22×C4×C71C2×D411yescharacteristic
200C22×C4×C71C2×Q812yes—
201C22×C4×C71C2411yescharacteristic
202C2×C8×C71—21no—
203C2×C8×C71—21no—
204C2×C8×C71—21no—
205C2×C8×C71—21no—
206C2×C8×C71C22×C412yes—
207C2×C8×C71C22×C412yes—
208C4⋊C4×C71—21no—
209C4⋊C4×C71—21no—
210C4⋊C4×C71—21no—
211C4⋊C4×C71—21no—
212C4⋊C4×C71—21no—
213C4⋊C4×C71—21no—
214C4⋊C4×C71—21no—
215C4⋊C4×C71—42no—
216C4⋊C4×C71C2×D412yes—
217C22⋊C4×C71—42no—
218C23×C71—21no—
219C23×C71—21no—
220C23×C71—21no—
221C23×C71—21no—
222C23×C71C2×C4⋊C412yes—
223C23×C71#13512yes—
224C23×C71#13512yes—
225C23×C71C22×D411yescharacteristic
226C22×D71—21no—
227C22×D71—21no—
228C22×D71—21no—
229C22×D71—21no—
230C22×D71—21no—
231C22×D71—21no—
232C22×D71C2×C4⋊C412yes—
233C2×C4×C71—21no—
234C2×C4×C71—21no—
235C2×C4×C71—22no—
236C2×C4×C71—22no—
237C2×C4×C71—22no—
238C2×C4×C71—22no—
239C2×C4×C71—22no—
240C2×C4×C71—41no—
241C2×C4×C71—41no—
242C2×C4×C71—41no—
243C2×C4×C71—41no—
244C2×C4×C71—41no—
245C2×C4×C71—41no—
246C2×C4×C71—41no—
247C2×C4×C71—41no—
248C2×C4×C71—41no—
249C2×C4×C71—41no—
250C2×C4×C71—41no—
251C2×C4×C71—84no—
252C2×C4×C71C2×C4⋊C412yes—
253C2×C4×C71C23×C411yescharacteristic
254C2×C4×C71C22×D411yescharacteristic
255C2×C4×C71C22×Q811yescharacteristic
256C2×C4×C71C2×#4111yescharacteristic
257C2×C4×C71H(5,𝔽2)11yescharacteristic
258C2×C4×C712−1+411yescharacteristic
259C22⋊D71—28no—
260C2×Dic71—21no—
261C2×Dic71—21no—
262C2×Dic71—21no—
263C2×Dic71—21no—
264C2×Dic71—21no—
265C2×Dic71—21no—
266C2×Dic71—22no—
267C2×Dic71—41no—
268C2×Dic71—41no—
269C2×Dic71—41no—
270C2×Dic71—41no—
271C2×Dic71—41no—
272C2×Dic71—41no—
273C2×Dic71—41no—
274C2×Dic71—41no—
275C2×Dic71—41no—
276C2×Dic71—41no—
277C2×Dic71—41no—
278C2×Dic71—84no—
279C2×Dic71C2×C4⋊C412yes—
280C2×Dic71C2×C4⋊C412yes—
281C2×Dic71C2×C4⋊C412yes—
282C4×D71—22no—
283C4×D71—22no—
284C4×D71—22no—
285C4×D71—22no—
286C8×C71—22no—
287C8×C71—22no—
288C71⋊C8—22no—
289C71⋊C8C4×D414yes—
290C22×C71—22no—
291C22×C71—22no—
292C22×C71—22no—
293C22×C71—22no—
294C22×C71—22no—
295C22×C71—22no—
296C22×C71#42714yescomplemented
297C22×C71C22×C4⋊C411yescharacteristic
298C22×C71D4211yescharacteristic
299C22×C71#54711yescharacteristic
300C22×C71C2×#13511yescharacteristic
301C22×C71C2×#13511yescharacteristic
302C22×C71#57611yescharacteristic
303C22×C71#57811yescharacteristic
304C2×D71—22no—
305C2×D71—22no—
306C2×D71—22no—
307C2×D71—41no—
308C2×D71—41no—
309C2×D71—41no—
310C2×D71—41no—
311C4×C71—22no—
312C4×C71—42no—
313C4×C71—81no—
314C4×C71—81no—
315C4×C71—81no—
316C4×C71C2×C4×D411yescharacteristic
317C4×C71#52011yescharacteristic
318C4×C71D4×Q811yescharacteristic
319C4×C71#55411yescharacteristic
320Dic71—22no—
321Dic71—22no—
322Dic71—22no—
323Dic71—42no—
324Dic71—81no—
325Dic71—81no—
326Dic71—81no—
327#22656—711nomaximal, Sylow
328C2×C71—24no—
329C2×C71D4×C4⋊C411yescharacteristic
330C2×C71C2×#42711yescharacteristic
331C2×C71#291311yescharacteristic
332C2×C71#328011yescharacteristic
333C2×C71#328511yescharacteristic
334C2×C71#333611yescharacteristic
335C2×C71#333911yescharacteristic
336D71—42no—
337C2×C8×D4—711no—
338C2×#427—711no—
339C22×#107—711no—
340#2352—711no—
341#2352—711no—
342#1949—711no—
343#1949—711no—
344#1854—711no—
345#1854—711no—
346#1853—711no—
347#1853D7111yescharacteristic, complemented
348#1846—711no—
349#1808—711no—
350#1808—711no—
351C4×#107—711no—
352C71#2265611yescharacteristic, complemented, Sylow
353C23×C8—711no—
354C23×C8—711no—
355C2×C4×D4—711no—
356C2×#117—711no—
357C2×#117—711no—
358C22×C4⋊C4—711no—
359C22×C4⋊C4C2×D7111yescharacteristic
360C8×D4—718no—
361#427—1424no—
362C2×#107—711no—
363C2×#107—711no—
364C2×#107—711no—
365C2×#107—711no—
366C2×#107—711no—
367C2×#107—711no—
368C2×#107—1424no—
369C2×#106—711no—
370C2×#106—711no—
371C2×#106C2×D7111yescharacteristic
372C2×#106C2×D7111yescharacteristic
373C2×C4⋊C8—711no—
374C2×C22⋊C8—711no—
375C2×C22⋊C8C2×D7111yescharacteristic
376C2×C4×C8—711no—
377#388—1421no—
378#388—1421no—
379#387—1421no—
380#387—1421no—
381#386—1421no—
382#386—1421no—
383#382—711no—
384#382—711no—
385#380—711no—
386#380—711no—
387#380—711no—
388#380C2×D7111yescharacteristic
389C4×C4⋊C4—711no—
390C4×C4⋊C4—711no—
391C4×C22⋊C4—1421no—
392C4×C22⋊C4—1421no—
393#340—711no—
394#340—711no—
395#340—711no—
396#340—711no—
397#340C2×D7111yescharacteristic
398#340C2×D7111yescharacteristic
399C22×D4—711no—
400C23×C4—21no—
401C23×C4—711no—
402C23×C4—1421no—
403C23×C4C22×D7111yescharacteristic
404C22×C8—711no—
405C22×C8—714no—
406C22×C8—711no—
407C22×C8—714no—
408C22×C8—1422no—
409C22×C8—1422no—
410C22×C8—1422no—
411C22×C8—1422no—
412C22×C8C22×D7111yescharacteristic
413C22×C8C22×D7111yescharacteristic
414C4×D4—714no—
415C4×D4—714no—
416#117—2841no—
417#117—2841no—
418#117—1422no—
419#117—1422no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—41no—
423C2×C4⋊C4—2841no—
424C2×C4⋊C4—711no—
425C2×C4⋊C4—711no—
426C2×C4⋊C4—711no—
427C2×C4⋊C4—711no—
428C2×C4⋊C4—711no—
429C2×C4⋊C4—1421no—
430C2×C4⋊C4—1422no—
431C2×C4⋊C4C22×D7111yescharacteristic
432C2×C4⋊C4C22×D7111yescharacteristic
433C2×C4⋊C4C22×D7111yescharacteristic
434C2×C4⋊C4C22×D7111yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—711no—
437C2×C22⋊C4—711no—
438C2×C22⋊C4—1421no—
439C2×C22⋊C4—1421no—
440C2×C22⋊C4—1421no—
441C2×C22⋊C4—1421no—
442C2×C22⋊C4—1421no—
443C2×C42—711no—
444C2×C42—1421no—
445C2×C42—1421no—
446C2×C42—1421no—
447C2×C42—1421no—
448#107—714no—
449#107—1422no—
450#107—1422no—
451#107—1422no—
452#107—1422no—
453#107—1422no—
454#106—22no—
455#106—41no—
456#106—2841no—
457#106—1422no—
458C4⋊C8—714no—
459C22⋊C8—714no—
460C22⋊C8C4×D7114yes—
461C4×C8—714no—
462#95—21no—
463#95—1421no—
464#95—1421no—
465#95—1421no—
466#95—1421no—
467#95—1421no—
468#95—1421no—
469#95—1421no—
470#95—1421no—
471#95—1421no—
472C24—711no—
473C24D4×D7111yescharacteristic
474C2×D4—714no—
475C2×D4—1422no—
476C2×D4—1422no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—81no—
488C22×C4—2842no—
489C22×C4—2842no—
490C22×C4—5681no—
491C22×C4—711no—
492C22×C4—711no—
493C22×C4—711no—
494C22×C4—712no—
495C22×C4—712no—
496C22×C4—1421no—
497C22×C4—1421no—
498C22×C4—1421no—
499C22×C4—1421no—
500C22×C4—1421no—
501C22×C4—1421no—
502C22×C4—1421no—
503C22×C4—1421no—
504C22×C4C2×C4×D7112yes—
505C22×C4D4×D7111yescharacteristic
506C22×C4Q8×D7112yes—
507C22×C4C23×D7111yescharacteristic
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—712no—
513C2×C8—712no—
514C2×C8—712no—
515C2×C8—712no—
516C2×C8—1428no—
517C2×C8—1428no—
518C2×C8—1421no—
519C2×C8—1421no—
520C2×C8C2×C4×D7112yes—
521C2×C8C2×C4×D7112yes—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—42no—
530C4⋊C4—2842no—
531C4⋊C4—714no—
532C4⋊C4—712no—
533C4⋊C4—1421no—
534C4⋊C4—1421no—
535C4⋊C4—1421no—
536C4⋊C4—1421no—
537C4⋊C4—1421no—
538C4⋊C4—1421no—
539C4⋊C4—1421no—
540C4⋊C4D4×D7112yes—
541C22⋊C4—42no—
542C22⋊C4—2842no—
543C22⋊C4—2842no—
544C22⋊C4—2842no—
545C22⋊C4—5681no—
546C22⋊C4—5681no—
547C22⋊C4—714no—
548C22⋊C4—714no—
549C42—2842no—
550C42—2842no—
551C42—5681no—
552C42—5681no—
553C42—712no—
554C42—712no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—712no—
560C23—1421no—
561C23—1421no—
562C23—1421no—
563C23—1421no—
564C23—1421no—
565C23—1421no—
566C23C4⋊C4×D7112yes—
567C23#1455614912yes—
568C23#1455614912yes—
569C23C2×D4×D7111yescharacteristic
570D4—1428no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—84no—
590C2×C4—2841no—
591C2×C4—2841no—
592C2×C4—2841no—
593C2×C4—2841no—
594C2×C4—2841no—
595C2×C4—2841no—
596C2×C4—2841no—
597C2×C4—2841no—
598C2×C4—2841no—
599C2×C4—2841no—
600C2×C4—2841no—
601C2×C4—5684no—
602C2×C4—712no—
603C2×C4—712no—
604C2×C4—712no—
605C2×C4—1422no—
606C2×C4—1421no—
607C2×C4—1421no—
608C2×C4—1421no—
609C2×C4—1421no—
610C2×C4—1421no—
611C2×C4—1421no—
612C2×C4—1422no—
613C2×C4—1422no—
614C2×C4—1422no—
615C2×C4—1422no—
616C2×C4C4⋊C4×D7112yes—
617C2×C4C22×C4×D7111yescharacteristic
618C2×C4C2×D4×D7111yescharacteristic
619C2×C4C2×Q8×D7111yescharacteristic
620C2×C4#41×D7111yescharacteristic
621C2×C4#1455617311yescharacteristic
622C2×C4#1455617511yescharacteristic
623C8—22no—
624C8—22no—
625C8—714no—
626C8—1422no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—2841no—
634C22—2841no—
635C22—2841no—
636C22—2841no—
637C22—1422no—
638C22—1422no—
639C22—1422no—
640C22#1798603414yescomplemented
641C22C2×C4⋊C4×D7111yescharacteristic
642C22#1798663111yescharacteristic
643C22#1798664711yescharacteristic
644C22C2×#1455614911yescharacteristic
645C22C2×#1455614911yescharacteristic
646C22#1798680311yescharacteristic
647C22#1798681511yescharacteristic
648C4—22no—
649C4—42no—
650C4—81no—
651C4—81no—
652C4—81no—
653C4—2842no—
654C4—5681no—
655C4—5681no—
656C4—5681no—
657C4—1422no—
658C4—1422no—
659C4—1422no—
660C4C4×D4×D7111yescharacteristic
661C4#1798647811yescharacteristic
662C4#1798666211yescharacteristic
663C4#1798670311yescharacteristic
664C2—24no—
665C2—2842no—
666C2#2259123811yescharacteristic
667C2C2×#1798603411yescharacteristic
668C2#2259693911yescharacteristic
669C2#2260001811yescharacteristic
670C2#2260007411yescharacteristic
671C2#2260070611yescharacteristic
672C2#2260074011yescharacteristic
subgroupG/H
centerC23C2×D4×D71
commutatorC2×C4×C71C23×C4
FrattiniC22×C4C23×D71
FittingC71×#1853C2
socleC23×C71C22×D4
prime radicalC22×C22⋊D71D4
cosocleC22×C4×C71C24
hypercenter#1853D71
hypocenterC71#22656
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1853

Complements

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

NH ≅ G/Ntype
2. C2×#17986034C2semidirect
3. C22×#14556061C2semidirect
6. #22589109C2semidirect
7. #22589107C2semidirect
8. #22588540C2semidirect
9. #22588538C2semidirect
10. #22588535C2semidirect
11. #22588501C2semidirect
12. #22588368C2semidirect
13. #22588367C2semidirect
14. #22588232C2semidirect
15. C71×#1853C2semidirect
22. (C22⋊D71)⋊C8C4semidirect
72. C2×C8×D71C2×C4semidirect
104. #14556061D4semidirect
107. Dic71⋊C8C2×C4semidirect
108. (C2×D71)⋊C8C2×C4semidirect
109. C8×Dic71C2×C4semidirect
296. C22×C71#427semidirect
347. #1853D71semidirect
352. C71#22656semidirect
640. C22#17986034semidirect

Maximal subgroups

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

subgroupindex
C2×(C22⋊D71)⋊C82
C2×#179860342
C22×#145560612
#225912712
#225912652
#225891092
#225891072
#225885402
#225885382
#225885352
#225885012
#225883682
#225883672
#225882322
C71×#18532
#2265671