Finite Group Databasebeta

← #32001990

Subgroups — #32001990

Order 18176.

1142 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986629C211yesmaximal, characteristic
2C2×#17986024C211yesmaximal, characteristic
3#22590694C211yesmaximal, characteristic
4#22589298C211yesmaximal, characteristic, complemented
5#22589296C211yesmaximal, characteristic, complemented
6#22589294C211yesmaximal, characteristic, complemented
7#22589292C211yesmaximal, characteristic, complemented
8#22589290C211yesmaximal, characteristic, complemented
9#22589287C211yesmaximal, characteristic, complemented
10#22589286C211yesmaximal, characteristic, complemented
11#22588058C211yesmaximal, characteristic
12#22588058C211yesmaximal, characteristic
13#22588055C211yesmaximal, characteristic
14#340×D71C211yesmaximal, characteristic
15C71×#1989C211yesmaximal, characteristic, complemented
16C22×#11765848C2211yescharacteristic
17C22×C8×D71C2211yescharacteristic
18#17986629—24no—
19#17986629C418yescomplemented
20C2×#14556128C2211yescharacteristic
21C2×#14556127—21no—
22C2×#14556127C2211yescharacteristic
23C2×#14556119C2211yescharacteristic
24C2×#14556118—21no—
25C2×#14556108—21no—
26C2×#14556106—21no—
27C2×#14556086C2211yescharacteristic
28C2×#14556086C2211yescharacteristic
29C2×#14556085C2211yescharacteristic
30C2×C4⋊C4×D71C2211yescharacteristic
31C2×C4⋊C4×D71C2211yescharacteristic
32#17986024—24no—
33C2×C4⋊(C71⋊C8)C2211yescharacteristic
34C2×Dic71⋊C8C2211yescharacteristic
35C2×Dic71⋊C8C2211yescharacteristic
36C4⋊C4×Dic71C2211yescharacteristic
37C4⋊C4×Dic71C2211yescharacteristic
38C4×Dic71⋊C4—21no—
39C4×C4⋊Dic71C2211yescharacteristic
40#17985850—21no—
41C4×(C2×D71)⋊C4—21no—
42#17985846—21no—
43#17985762C2211yescharacteristic
44#17985762C2211yescharacteristic
45#17985762C2211yescharacteristic
46#17985762C2211yescharacteristic
47#17985761C2211yescharacteristic
48#17985761C2211yescharacteristic
49#17985761C2211yescharacteristic
50#17985761C2211yescharacteristic
51#17985761C2211yescharacteristic
52#17985761C2211yescharacteristic
53#17985761C2211yescharacteristic
54#17985761C2211yescharacteristic
55C2×#125×C71C2211yescharacteristic
56C2×C4⋊C8×C71C2211yescharacteristic
57C4×C4⋊C4×C71C2211yescharacteristic
58#340×C71C2211yescharacteristic
59#340×C71C2211yescharacteristic
60#340×C71C2211yescharacteristic
61#340×C71C2211yescharacteristic
62C22×Dic142—21no—
63C22×Dic142—21no—
64C22×C4×D71—21no—
65C22×C4×D71—21no—
66C22×C4×D71C2311yescharacteristic
67C2×#11765848—22no—
68C2×#11765848—22no—
69C2×#11765848—22no—
70C22×C71⋊C8C2311yescharacteristic
71C22×C71⋊C8C2311yescharacteristic
72C2×C8×D71—22no—
73C2×C8×D71—22no—
74C2×C8×D71—22no—
75#14556128—22no—
76#14556128C2×C414yescomplemented
77#14556127—28no—
78#14556127—22no—
79#14556127C2×C414yescomplemented
80#14556119—22no—
81#14556119C2×C414yescomplemented
82#14556118—28no—
83#14556108—28no—
84#14556106—28no—
85#14556086—22no—
86#14556086—22no—
87#14556086C2×C414yes—
88#14556086Q814yescomplemented
89#14556085C2×C414yes—
90#14556085D414yes—
91C2×C4⋊Dic71—21no—
92C2×C4⋊Dic71—21no—
93C2×C4⋊Dic71C2311yescharacteristic
94C2×C4⋊Dic71C2311yescharacteristic
95C2×C4⋊Dic71C2311yescharacteristic
96C2×C4⋊Dic71C2311yescharacteristic
97C2×Dic71⋊C4—21no—
98C2×Dic71⋊C4—21no—
99C2×Dic71⋊C4—21no—
100C2×Dic71⋊C4—21no—
101C2×Dic71⋊C4D411yescharacteristic
102C2×Dic71⋊C4D411yescharacteristic
103C4⋊C4×D71—22no—
104C4⋊C4×D71—22no—
105C4⋊C4×D71C2×C414yes—
106C4⋊C4×D71Q814yescomplemented
107C2×(C2×D71)⋊C4—21no—
108C2×(C2×D71)⋊C4—21no—
109C2×(C2×D71)⋊C4D411yescharacteristic
110C2×(C2×D71)⋊C4D411yescharacteristic
111C2×C4×Dic71—21no—
112C2×C4×Dic71—21no—
113C2×C4×Dic71—21no—
114C2×C4×Dic71—21no—
115C2×C4×Dic71—21no—
116C2×C4×Dic71C2311yescharacteristic
117C4⋊(C71⋊C8)—22no—
118Dic71⋊C8—22no—
119Dic71⋊C8—22no—
120C71⋊#95—21no—
121C71⋊#95—21no—
122C71⋊#95—21no—
123C22×C8×C71C2311yescharacteristic
124C22×C8×C71C2311yescharacteristic
125#125×C71—22no—
126#125×C71C2×C414yescomplemented
127C2×C4⋊C4×C71—21no—
128C2×C4⋊C4×C71—21no—
129C2×C4⋊C4×C71C2311yescharacteristic
130C2×C4⋊C4×C71C2311yescharacteristic
131C2×C4⋊C4×C71C2311yescharacteristic
132C2×C4⋊C4×C71C2311yescharacteristic
133C2×C42×C71—21no—
134C2×C42×C71C2311yescharacteristic
135C4⋊C8×C71—22no—
136#95×C71—21no—
137C23×D71C2×D411yescharacteristic
138C2×Dic142—24no—
139C2×Dic142—24no—
140C2×Dic142—81no—
141C2×Dic142—81no—
142C2×Dic142—81no—
143C2×Dic142—81no—
144C22×Dic71—21no—
145C22×Dic71—21no—
146C22×Dic71—21no—
147C22×Dic71—21no—
148C22×Dic71C2×D411yescharacteristic
149C22×Dic71C2×D411yescharacteristic
150C22×Dic71C2×D411yescharacteristic
151C2×C4×D71—24no—
152C2×C4×D71—24no—
153C2×C4×D71—81no—
154C2×C4×D71—81no—
155C2×C4×D71—81no—
156C2×C4×D71—81no—
157C2×C4×D71C22×C412yes—
158C2×C4×D71C2×D412yes—
159C2×C4×D71C2×Q812yes—
160C2×C4×D71C2×Q812yes—
161C2×C4×D71#4112yes—
162C2×C4×D71#4112yes—
163#11765848—44no—
164C2×C71⋊C8—21no—
165C2×C71⋊C8—21no—
166C2×C71⋊C8—21no—
167C2×C71⋊C8—21no—
168C2×C71⋊C8—21no—
169C2×C71⋊C8—21no—
170C8×D71—44no—
171C4⋊Dic71—24no—
172C4⋊Dic71—21no—
173C4⋊Dic71—21no—
174C4⋊Dic71—21no—
175C4⋊Dic71—21no—
176C4⋊Dic71—24no—
177C4⋊Dic71C22×C412yes—
178C4⋊Dic71C22×C412yes—
179C4⋊Dic71C2×Q812yes—
180C4⋊Dic71C2×Q812yes—
181Dic71⋊C4—24no—
182Dic71⋊C4—24no—
183Dic71⋊C4—24no—
184Dic71⋊C4—24no—
185Dic71⋊C4C22⋊C414yes—
186Dic71⋊C4C22⋊C414yes—
187(C2×D71)⋊C4—24no—
188(C2×D71)⋊C4—24no—
189(C2×D71)⋊C4C22⋊C414yes—
190(C2×D71)⋊C4C22⋊C414yes—
191C4×Dic71—24no—
192C4×Dic71—24no—
193C4×Dic71—81no—
194C4×Dic71—81no—
195C4×Dic71—81no—
196C4×Dic71C22×C412yes—
197C4×Dic71C2×D412yes—
198C22×C4×C71—21no—
199C22×C4×C71—21no—
200C22×C4×C71—21no—
201C22×C4×C71—21no—
202C22×C4×C71C2×D411yescharacteristic
203C22×C4×C71C2×D411yescharacteristic
204C22×C4×C71C2411yescharacteristic
205C2×C8×C71—21no—
206C2×C8×C71—21no—
207C2×C8×C71—21no—
208C2×C8×C71—21no—
209C2×C8×C71—21no—
210C2×C8×C71—21no—
211C4⋊C4×C71—24no—
212C4⋊C4×C71—24no—
213C4⋊C4×C71—21no—
214C4⋊C4×C71—21no—
215C4⋊C4×C71—21no—
216C4⋊C4×C71—21no—
217C4⋊C4×C71C22×C412yes—
218C4⋊C4×C71C22×C412yes—
219C4⋊C4×C71C2×Q812yes—
220C4⋊C4×C71C2×Q812yes—
221C42×C71—81no—
222C42×C71C22×C412yes—
223C42×C71C2×D412yes—
224C23×C71C22×D411yescharacteristic
225C22×D71—21no—
226C22×D71—21no—
227C22×D71—21no—
228C22×D71—21no—
229C22×D71C2×C22⋊C412yes—
230C22×D71C22⋊Q812yes—
231C22×D71C22⋊Q812yes—
232C2×C4×C71—21no—
233C2×C4×C71—21no—
234C2×C4×C71—21no—
235C2×C4×C71—21no—
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×C71C2×C22⋊C412yes—
249C2×C4×C71C2×C22⋊C412yes—
250C2×C4×C71C23×C411yescharacteristic
251C2×C4×C71C22×D411yescharacteristic
252C2×C4×C71C22×Q811yescharacteristic
253C2×C4×C71C22×Q811yescharacteristic
254C2×C4×C71C2×#4111yescharacteristic
255C2×C4×C71C2×#4111yescharacteristic
256C2×Dic71—21no—
257C2×Dic71—21no—
258C2×Dic71—21no—
259C2×Dic71—21no—
260C2×Dic71—22no—
261C2×Dic71—22no—
262C2×Dic71—22no—
263C2×Dic71—22no—
264C2×Dic71—41no—
265C2×Dic71—41no—
266C2×Dic71—41no—
267C2×Dic71—41no—
268C2×Dic71—41no—
269C2×Dic71—41no—
270C2×Dic71—41no—
271C2×Dic71—41no—
272C2×Dic71C2×C22⋊C412yes—
273C2×Dic71C2×C22⋊C412yes—
274C2×Dic71C2×C22⋊C412yes—
275C2×Dic71C22⋊Q812yes—
276C2×Dic71C22⋊Q812yes—
277C4×D71—84no—
278C4×D71—84no—
279C4×D71C4×Q814yes—
280C4×D71C4×Q814yes—
281C4×D71#12414yes—
282C4×D71C4⋊Q814yes—
283Dic142—84no—
284Dic142—84no—
285C8×C71—41no—
286C8×C71—41no—
287C71⋊C8—41no—
288C71⋊C8—41no—
289C22×C71C22×C22⋊C411yescharacteristic
290C22×C71C2×C22⋊Q811yescharacteristic
291C22×C71C2×C22⋊Q811yescharacteristic
292C22×C71#57611yescharacteristic
293C22×C71#57711yescharacteristic
294C22×C71#57711yescharacteristic
295C22×C71#57811yescharacteristic
296C2×D71—22no—
297C2×D71—22no—
298C2×D71—22no—
299C2×D71—22no—
300C2×D71—22no—
301C2×D71—22no—
302C2×D71#39114yes—
303C4×C71—22no—
304C4×C71—22no—
305C4×C71—42no—
306C4×C71—42no—
307C4×C71—42no—
308C4×C71—42no—
309C4×C71C2×C4×Q811yescharacteristic
310C4×C71C2×C4×Q811yescharacteristic
311C4×C71C2×#12411yescharacteristic
312C4×C71C2×C4⋊Q811yescharacteristic
313Dic71—22no—
314Dic71—22no—
315Dic71—42no—
316Dic71—42no—
317Dic71—42no—
318Dic71—42no—
319Dic71#39114yes—
320#21315—711nomaximal, Sylow
321C2×C71C2×#39111yescharacteristic
322C2×C71#289711yescharacteristic
323C2×C71#289811yescharacteristic
324C2×C71#308111yescharacteristic
325C2×C71#308211yescharacteristic
326C2×C71#308311yescharacteristic
327C2×C71#308411yescharacteristic
328D71—24no—
329C2×#544—711no—
330C2×#424—711no—
331#2274—711no—
332#1989—711no—
333#1989—711no—
334#1989—711no—
335#1989D7111yescharacteristic, complemented
336#1988—711no—
337#1988—711no—
338#1987—711no—
339#1987—711no—
340#1736—711no—
341#1736—711no—
342#1735—711no—
343C2×#340—711no—
344C71#2131511yescharacteristic, complemented, Sylow
345C22×M16—711no—
346C23×C8—711no—
347#544—718no—
348#544—1424no—
349C2×C4⋊Q8—711no—
350C2×C4⋊Q8—711no—
351C2×C4⋊Q8—1421no—
352C2×#125—711no—
353C2×#125—1421no—
354C2×#125C2×D7111yescharacteristic
355C2×C22⋊Q8—1421no—
356C2×C22⋊Q8—1421no—
357C2×#117—711no—
358C2×#117—711no—
359C2×#117—711no—
360C22×C4⋊C4—711no—
361C22×C4⋊C4—711no—
362#424—1424no—
363C2×C4⋊C8—711no—
364C2×C4⋊C8—711no—
365C2×C4⋊C8—711no—
366C2×C4⋊C8C2×D7111yescharacteristic
367C4×C4⋊C4—711no—
368C4×C4⋊C4—711no—
369C4×C4⋊C4—711no—
370C4×C4⋊C4—1421no—
371C4×C4⋊C4—1421no—
372C4×C4⋊C4C2×D7111yescharacteristic
373C4×C22⋊C4—1421no—
374C4×C22⋊C4—1421no—
375#340—711no—
376#340—711no—
377#340—711no—
378#340—711no—
379#340—711no—
380#340—711no—
381#340—711no—
382#340—711no—
383#340—711no—
384#340—711no—
385#340—711no—
386#340—711no—
387#340C2×D7111yescharacteristic
388#340C2×D7111yescharacteristic
389#340C2×D7111yescharacteristic
390#340C2×D7111yescharacteristic
391C22×Q8—1421no—
392C22×Q8—1421no—
393C23×C4—711no—
394C23×C4—1421no—
395C23×C4—1421no—
396C2×M16—1422no—
397C2×M16—1422no—
398C2×M16—1422no—
399C22×C8—711no—
400C22×C8—711no—
401C22×C8—1422no—
402C22×C8—1422no—
403C22×C8—1422no—
404C22×C8C22×D7111yescharacteristic
405C22×C8C22×D7111yescharacteristic
406C4⋊Q8—714no—
407C4⋊Q8—714no—
408C4⋊Q8—1422no—
409C4⋊Q8—1428no—
410C4⋊Q8—1422no—
411#125—22no—
412#125—714no—
413#125—1422no—
414#125—1428no—
415#125C4×D7114yescomplemented
416C22⋊Q8—1428no—
417C22⋊Q8—1428no—
418#117—714no—
419#117—714no—
420#117—714no—
421#117—714no—
422#117—1422no—
423#117—1422no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—711no—
427C2×C4⋊C4—711no—
428C2×C4⋊C4—711no—
429C2×C4⋊C4—711no—
430C2×C4⋊C4—711no—
431C2×C4⋊C4—711no—
432C2×C4⋊C4—714no—
433C2×C4⋊C4—714no—
434C2×C4⋊C4—1422no—
435C2×C4⋊C4—1422no—
436C2×C4⋊C4—1421no—
437C2×C4⋊C4—1421no—
438C2×C4⋊C4—1421no—
439C2×C4⋊C4—1421no—
440C2×C4⋊C4—1421no—
441C2×C4⋊C4—1421no—
442C2×C4⋊C4C22×D7111yescharacteristic
443C2×C4⋊C4C22×D7111yescharacteristic
444C2×C4⋊C4C22×D7111yescharacteristic
445C2×C4⋊C4C22×D7111yescharacteristic
446C2×C22⋊C4—711no—
447C2×C22⋊C4—711no—
448C2×C22⋊C4—1421no—
449C2×C22⋊C4—1421no—
450C2×C42—21no—
451C2×C42—711no—
452C2×C42—1421no—
453C2×C42—1421no—
454C2×C42—1421no—
455C2×C42—1421no—
456C2×C42—1421no—
457C2×C42C22×D7111yescharacteristic
458C4⋊C8—22no—
459C4⋊C8—1422no—
460C4⋊C8—1422no—
461C4⋊C8—1422no—
462#95—21no—
463#95—1421no—
464#95—1421no—
465#95—1421no—
466C24—711no—
467C2×Q8—5681no—
468C2×Q8—5681no—
469C2×Q8—5681no—
470C2×Q8—5681no—
471C2×Q8—1424no—
472C2×Q8—1424no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—5681no—
478C22×C4—5681no—
479C22×C4—5681no—
480C22×C4—5681no—
481C22×C4—711no—
482C22×C4—712no—
483C22×C4—712no—
484C22×C4—712no—
485C22×C4—712no—
486C22×C4—712no—
487C22×C4—712no—
488C22×C4—711no—
489C22×C4—711no—
490C22×C4—1424no—
491C22×C4—1424no—
492C22×C4—1421no—
493C22×C4—1421no—
494C22×C4—1421no—
495C22×C4—1421no—
496C22×C4D4×D7111yescharacteristic
497C22×C4D4×D7111yescharacteristic
498C22×C4C23×D7111yescharacteristic
499M16—2844no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—2844no—
507C2×C8—1421no—
508C2×C8—1421no—
509C2×C8—1421no—
510C2×C8—1421no—
511C2×C8—1421no—
512C2×C8—1421no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—24no—
518C4⋊C4—24no—
519C4⋊C4—714no—
520C4⋊C4—714no—
521C4⋊C4—712no—
522C4⋊C4—712no—
523C4⋊C4—712no—
524C4⋊C4—712no—
525C4⋊C4—1424no—
526C4⋊C4—1424no—
527C4⋊C4—1424no—
528C4⋊C4—1424no—
529C4⋊C4—1424no—
530C4⋊C4—1421no—
531C4⋊C4—1421no—
532C4⋊C4—1421no—
533C4⋊C4—1421no—
534C4⋊C4—1424no—
535C4⋊C4C2×C4×D7112yes—
536C4⋊C4C2×C4×D7112yes—
537C4⋊C4Q8×D7112yes—
538C4⋊C4Q8×D7112yes—
539C22⋊C4—714no—
540C22⋊C4—714no—
541C22⋊C4—1424no—
542C22⋊C4—1424no—
543C42—81no—
544C42—5681no—
545C42—5681no—
546C42—5681no—
547C42—712no—
548C42—712no—
549C42—1424no—
550C42—1424no—
551C42C2×C4×D7112yes—
552C42D4×D7112yes—
553C23—712no—
554C23—712no—
555C23—712no—
556C23—1421no—
557C23—1421no—
558C23—1421no—
559C23—1421no—
560C23C2×D4×D7111yescharacteristic
561Q8—5684no—
562Q8—5684no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—2841no—
580C2×C4—2841no—
581C2×C4—2841no—
582C2×C4—2841no—
583C2×C4—2841no—
584C2×C4—2841no—
585C2×C4—2841no—
586C2×C4—2841no—
587C2×C4—5684no—
588C2×C4—5684no—
589C2×C4—712no—
590C2×C4—712no—
591C2×C4—712no—
592C2×C4—714no—
593C2×C4—714no—
594C2×C4—714no—
595C2×C4—714no—
596C2×C4—712no—
597C2×C4—712no—
598C2×C4—1422no—
599C2×C4—1422no—
600C2×C4—1422no—
601C2×C4—1422no—
602C2×C4—1421no—
603C2×C4—1421no—
604C2×C4—1421no—
605C2×C4—1421no—
606C2×C4C22⋊C4×D7112yes—
607C2×C4C22⋊C4×D7112yes—
608C2×C4C22×C4×D7111yescharacteristic
609C2×C4C2×D4×D7111yescharacteristic
610C2×C4C2×Q8×D7111yescharacteristic
611C2×C4C2×Q8×D7111yescharacteristic
612C2×C4#41×D7111yescharacteristic
613C2×C4#41×D7111yescharacteristic
614C8—41no—
615C8—41no—
616C8—2841no—
617C8—2841no—
618C22—714no—
619C22—1422no—
620C22—1422no—
621C22—1422no—
622C22—1422no—
623C22—1422no—
624C22—1422no—
625C22C2×C22⋊C4×D7111yescharacteristic
626C22C22⋊Q8×D7111yescharacteristic
627C22C22⋊Q8×D7111yescharacteristic
628C22#1798680311yescharacteristic
629C22#1798680611yescharacteristic
630C22#1798680811yescharacteristic
631C22#1798681311yescharacteristic
632C4—22no—
633C4—22no—
634C4—42no—
635C4—42no—
636C4—42no—
637C4—42no—
638C4—2842no—
639C4—2842no—
640C4—2842no—
641C4—2842no—
642C4—714no—
643C4—1422no—
644C4—1422no—
645C4C4×Q8×D7111yescharacteristic
646C4C4×Q8×D7111yescharacteristic
647C4#124×D7111yescharacteristic
648C4C4⋊Q8×D7111yescharacteristic
649C2—1424no—
650C2#391×D7111yescharacteristic
651C2#2259686411yescharacteristic
652C2#2259686911yescharacteristic
653C2#2259817011yescharacteristic
654C2#2259818111yescharacteristic
655C2#2259819211yescharacteristic
656C2#2259820511yescharacteristic
subgroupG/H
centerC23C2×D4×D71
commutatorC2×C4×C71C23×C4
FrattiniC22×C4C23×D71
FittingC71×#1989C2
socleC23×C71C22×D4
prime radicalC23×D71C2×D4
cosocleC22×C4×C71C24
hypercenter#1989D71
hypocenterC71#21315
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1989

Complements

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

NH ≅ G/Ntype
4. #22589298C2semidirect
5. #22589296C2semidirect
6. #22589294C2semidirect
7. #22589292C2semidirect
8. #22589290C2semidirect
9. #22589287C2semidirect
10. #22589286C2semidirect
15. C71×#1989C2semidirect
19. #17986629C4semidirect
76. #14556128C2×C4semidirect
79. #14556127C2×C4semidirect
81. #14556119C2×C4semidirect
88. #14556086Q8semidirect
106. C4⋊C4×D71Q8semidirect
126. #125×C71C2×C4semidirect
335. #1989D71semidirect
344. C71#21315semidirect
415. #125C4×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179866292
C2×#179860242
#225906942
#225892982
#225892962
#225892942
#225892922
#225892902
#225892872
#225892862
#225880582
#225880552
#340×D712
C71×#19892
#2131571