Finite Group Databasebeta

← #32160225

Subgroups — #32160225

Order 18176.

2714 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986511C211yesmaximal, characteristic
2#22591486C214yesmaximal, complemented
3#22591318C214yesmaximal, complemented
4#22591272C212yesmaximal, complemented
5#22591266C212yesmaximal, complemented
6C4⋊C4×D284C212yesmaximal, complemented
7#22591240C212yesmaximal, complemented
8#22591069C214yesmaximal, complemented
9#22591039C214yesmaximal, complemented
10#22590949C211yesmaximal, characteristic, complemented
11#22590929C212yesmaximal, complemented
12#380×D71C212yesmaximal, complemented
13C71×#2314C211yesmaximal, characteristic, complemented
14C22×#11765865C2211yescharacteristic
15C23×C4×D71C2211yescharacteristic
16#17986511C4116yescomplemented
17C2×#14556112C2212yes—
18C2×#14556108C2212yes—
19C2×#14556103C2212yes—
20C2×#14556098C2212yes—
21C2×C4×D284C2214yes—
22C2×C4×D284C2212yes—
23C2×C4×D284C2212yes—
24C2×#14556090C2214yes—
25C2×#14556086C2212yescomplemented
26C2×C4⋊C4×D71C2212yes—
27C2×C4⋊C4×D71C2212yes—
28C2×C4⋊C4×D71C2212yescomplemented
29C2×C22⋊C4×D71C2214yes—
30#17985903C2214yescomplemented
31#17985899C2214yes—
32#17985897C2214yescomplemented
33#17985895C2214yescomplemented
34#17985892C2214yes—
35#17985890C2214yescomplemented
36#17985888C2214yescomplemented
37#17985885C2214yescomplemented
38#17985884C2214yescomplemented
39#17985882C2214yescomplemented
40#17985877C2214yes—
41#17985877C2214yes—
42#17985877C2214yescomplemented
43#17985875C2214yes—
44#17985873C2214yes—
45#17985873C2214yescomplemented
46#17985870C2214yes—
47#17985870C2214yescomplemented
48#17985869C2211yescharacteristic, complemented
49#17985865C2211yescharacteristic, complemented
50#17985859C2212yes—
51#17985858C2214yes—
52#17985857C2214yes—
53#17985856C2212yes—
54#17985856C2212yes—
55#17985856C2212yescomplemented
56#17985856C2212yescomplemented
57C4×C4⋊Dic71C2212yescomplemented
58C4×(C2×D71)⋊C4C2214yes—
59#17985846C2214yes—
60#95×D71C2214yes—
61C2×#117×C71C2211yescharacteristic
62#388×C71C2214yes—
63#387×C71C2214yescomplemented
64#384×C71C2211yescharacteristic, complemented
65#382×C71C2211yescharacteristic, complemented
66#380×C71C2212yes—
67C4×C4⋊C4×C71C2212yescomplemented
68C24×D71C2311yescharacteristic
69C2×#11765865—42no—
70C2×#11765865—42no—
71C2×#11765865C2×C418yescomplemented
72C22×Dic142C2311yescharacteristic
73C22×D284C2312yes—
74C22×D284C2312yes—
75C22×D284C2311yescharacteristic
76C22×C22⋊D71C2312yes—
77C23×Dic71C2311yescharacteristic
78C22×C4×D71—42no—
79C22×C4×D71—42no—
80C22×C4×D71C2×C418yescomplemented
81C22×C4×D71C2312yes—
82C22×C4×D71C2312yes—
83C22×C4×D71C2314yes—
84C22×C4×D71C2314yes—
85C22×C4×D71C2314yes—
86C22×C4×D71C2312yes—
87#14556112C2×C4116yescomplemented
88#14556108C2×C4116yescomplemented
89#14556103C2×C4116yescomplemented
90#14556098C2×C4116yescomplemented
91C4×D284—48no—
92C4×D284C2×C4116yescomplemented
93C4×D284C2×C4116yescomplemented
94#14556090—48no—
95#14556086—44no—
96C2×C4⋊Dic71C2312yes—
97C2×C4⋊Dic71C2312yes—
98C2×C4⋊Dic71C2314yes—
99C2×C4⋊Dic71C2312yes—
100C2×C4⋊Dic71C2312yes—
101C2×Dic71⋊C4C2314yes—
102C2×Dic71⋊C4C2314yes—
103C2×Dic71⋊C4C2314yes—
104C4⋊C4×D71—44no—
105C4⋊C4×D71—44no—
106C4⋊C4×D71—44no—
107C2×C22⋊Dic71C2314yes—
108C2×(C2×D71)⋊C4C2314yes—
109C2×(C2×D71)⋊C4C2314yes—
110C2×(C2×D71)⋊C4C2314yes—
111C2×(C2×D71)⋊C4C2314yes—
112C2×(C2×D71)⋊C4C2314yes—
113C2×(C2×D71)⋊C4C2312yes—
114C2×(C2×D71)⋊C4C2312yes—
115C2×(C2×D71)⋊C4C2312yes—
116C2×(C2×D71)⋊C4C2312yes—
117C22⋊C4×D71—48no—
118C2×C4×Dic71C2314yes—
119C2×C4×Dic71C2314yes—
120C71⋊#95C2314yes—
121C71⋊#95C2314yes—
122C71⋊#95C2314yes—
123C71⋊#95C2314yes—
124C71⋊#95C2314yes—
125C71⋊#95C2314yes—
126C71⋊#95C2314yes—
127C23×C4×C71C2311yescharacteristic
128#117×C71C2×C418yescomplemented
129C2×C4⋊C4×C71C2312yes—
130C2×C4⋊C4×C71C2312yes—
131C2×C4⋊C4×C71C2314yes—
132C2×C4⋊C4×C71C2312yes—
133C2×C22⋊C4×C71C2314yes—
134C2×C22⋊C4×C71C2312yes—
135C2×C42×C71C2314yes—
136C2×C42×C71C2311yescharacteristic
137C2×C42×C71C2311yescharacteristic
138#95×C71C2314yes—
139#95×C71C2314yes—
140#95×C71C2314yes—
141C23×D71—24no—
142C23×D71—24no—
143C23×D71—41no—
144C23×D71—41no—
145C23×D71C22×C414yes—
146C23×D71C2412yes—
147C23×D71C2412yes—
148#11765865—416no—
149C2×Dic142—41no—
150C2×Dic142—41no—
151C2×Dic142C22×C414yes—
152C2×D284—24no—
153C2×D284—24no—
154C2×D284—24no—
155C2×D284—24no—
156C2×D284—41no—
157C2×D284—41no—
158C2×D284C22×C418yes—
159C2×D284C22×C418yes—
160C2×D284C22×C414yes—
161C2×C22⋊D71—42no—
162C2×C22⋊D71—42no—
163C2×C22⋊D71C22×C418yes—
164C22×Dic71—41no—
165C22×Dic71—41no—
166C22×Dic71C22×C414yes—
167C22×Dic71C2414yes—
168C22×Dic71C2414yes—
169C22×Dic71C2412yes—
170C22×Dic71C2412yes—
171C2×C4×D71—24no—
172C2×C4×D71—24no—
173C2×C4×D71—24no—
174C2×C4×D71—24no—
175C2×C4×D71—28no—
176C2×C4×D71—28no—
177C2×C4×D71—416no—
178C2×C4×D71—42no—
179C2×C4×D71—42no—
180C2×C4×D71—44no—
181C2×C4×D71—44no—
182C2×C4×D71—44no—
183C2×C4×D71—44no—
184C2×C4×D71—44no—
185C2×C4×D71—44no—
186C2×C4×D71—44no—
187C2×C4×D71C22×C418yes—
188C2×C4×D71C22×C418yes—
189C2×C4×D71C22×C418yes—
190C4⋊Dic71—24no—
191C4⋊Dic71—24no—
192C4⋊Dic71—44no—
193C4⋊Dic71C22×C418yes—
194C4⋊Dic71C22×C418yes—
195Dic71⋊C4—44no—
196Dic71⋊C4—44no—
197Dic71⋊C4—44no—
198C22⋊Dic71—44no—
199(C2×D71)⋊C4—28no—
200(C2×D71)⋊C4—28no—
201(C2×D71)⋊C4—44no—
202(C2×D71)⋊C4—44no—
203(C2×D71)⋊C4—44no—
204(C2×D71)⋊C4C22×C418yes—
205(C2×D71)⋊C4C22×C418yes—
206(C2×D71)⋊C4C22×C418yes—
207(C2×D71)⋊C4C22×C418yes—
208C4×Dic71—44no—
209C4×Dic71—44no—
210C24×C71C2411yescharacteristic
211C22×C4×C71—22no—
212C22×C4×C71—22no—
213C22×C4×C71C22×C414yes—
214C22×C4×C71C2414yes—
215C22×C4×C71C2414yes—
216C22×C4×C71C2411yescharacteristic
217C22×C4×C71C2412yes—
218C22×C4×C71C2412yes—
219C22×C4×C71C2411yescharacteristic
220C4⋊C4×C71—24no—
221C4⋊C4×C71—24no—
222C4⋊C4×C71—44no—
223C4⋊C4×C71C22×C418yes—
224C22⋊C4×C71—44no—
225C22⋊C4×C71C22×C418yes—
226C42×C71—44no—
227C42×C71C22×C414yes—
228C42×C71C22×C414yes—
229C23×C71—22no—
230C23×C71—21no—
231C23×C71—21no—
232C23×C71—22no—
233C23×C71C23×C412yes—
234C23×C71C2511yescharacteristic
235C22×D71—22no—
236C22×D71—22no—
237C22×D71—22no—
238C22×D71—22no—
239C22×D71—22no—
240C22×D71—22no—
241C22×D71—22no—
242C22×D71—22no—
243C22×D71—22no—
244C22×D71—22no—
245C22×D71—216no—
246C22×D71—44no—
247C22×D71—48no—
248C22×D71—44no—
249C22×D71—44no—
250C22×D71C23×C414yes—
251C22×D71C23×C414yes—
252C22×D71H(5,𝔽2)14yes—
253C22×D712−1+414yes—
254C2×C4×C71—22no—
255C2×C4×C71—22no—
256C2×C4×C71—21no—
257C2×C4×C71—21no—
258C2×C4×C71—22no—
259C2×C4×C71—22no—
260C2×C4×C71—28no—
261C2×C4×C71—24no—
262C2×C4×C71—24no—
263C2×C4×C71—24no—
264C2×C4×C71—24no—
265C2×C4×C71—24no—
266C2×C4×C71—24no—
267C2×C4×C71C23×C414yes—
268C2×C4×C71C23×C414yes—
269C2×C4×C71C23×C412yes—
270C2×C4×C71C23×C412yes—
271C2×C4×C71H(5,𝔽2)12yes—
272C2×C4×C71H(5,𝔽2)12yes—
273C22⋊D71—48no—
274C2×Dic71—22no—
275C2×Dic71—22no—
276C2×Dic71—22no—
277C2×Dic71—22no—
278C2×Dic71—24no—
279C2×Dic71—24no—
280C2×Dic71—24no—
281C2×Dic71—24no—
282C2×Dic71—24no—
283C2×Dic71—24no—
284C2×Dic71—44no—
285C2×Dic71C23×C414yes—
286C2×Dic71C23×C414yes—
287D284—216no—
288D284—216no—
289D284—44no—
290C4×D71—216no—
291C4×D71—216no—
292C4×D71—48no—
293C4×D71—88no—
294C4×D71—88no—
295C4×D71—88no—
296Dic142—44no—
297C22×C71—22no—
298C22×C71—24no—
299C22×C71—42no—
300C22×C71—41no—
301C22×C71—41no—
302C22×C71C24×C411yescharacteristic
303C22×C71C2×H(5,𝔽2)12yes—
304C22×C71C2×H(5,𝔽2)11yescharacteristic
305C22×C71C2×H(5,𝔽2)11yescharacteristic
306C22×C71C2×2−1+412yes—
307C2×D71—24no—
308C2×D71—24no—
309C2×D71—24no—
310C2×D71—24no—
311C2×D71—24no—
312C2×D71—24no—
313C2×D71—24no—
314C2×D71—24no—
315C2×D71—24no—
316C2×D71—416no—
317C2×D71—42no—
318C2×D71—42no—
319C2×D71—42no—
320C2×D71—42no—
321C2×D71#52018yes—
322C4×C71—22no—
323C4×C71—24no—
324C4×C71—24no—
325C4×C71—44no—
326C4×C71—44no—
327C4×C71#51814yes—
328Dic71—24no—
329Dic71—24no—
330Dic71—44no—
331Dic71—44no—
332#34360—711nomaximal, Sylow
333C2×C71—42no—
334C2×C71C2×#51811yescharacteristic
335C2×C71C2×#52012yes—
336C2×C71#353612yes—
337C2×C71#353711yescharacteristic
338C2×C71#353811yescharacteristic
339D71—28no—
340D71—44no—
341C2×#525—711no—
342#2376—714no—
343#2358—714no—
344#2352—712no—
345#2352—712no—
346D4×C4⋊C4—712no—
347D4×C4⋊C4—712no—
348#2329—714no—
349#2325—714no—
350#2314—711no—
351#2314D7111yescharacteristic, complemented
352#2311—712no—
353C2×#380—712no—
354C71#3436011yescharacteristic, complemented, Sylow
355C22×#41—711no—
356C24×C4—711no—
357#525—7116no—
358C2×#123—712no—
359C2×C22⋊Q8—712no—
360C2×#121—712no—
361C2×#120—712no—
362C2×C4×D4—714no—
363C2×C4×D4—714no—
364C2×C4×D4—712no—
365C2×C4×D4—712no—
366C2×#117—712no—
367C2×#117C2×D7111yescharacteristic
368C22×C4⋊C4—712no—
369C22×C4⋊C4—712no—
370C22×C4⋊C4—712no—
371C22×C22⋊C4—714no—
372#391—714no—
373#390—714no—
374#389—714no—
375#389—714no—
376#388—714no—
377#388—714no—
378#388—714no—
379#388C2×D7114yes—
380#387—714no—
381#387—714no—
382#387—714no—
383#387C2×D7114yescomplemented
384#386—714no—
385#386—714no—
386#386—714no—
387#386—714no—
388#385—714no—
389#385—714no—
390#385—714no—
391#385—714no—
392#384—711no—
393#384C2×D7111yescharacteristic, complemented
394#382—711no—
395#382C2×D7111yescharacteristic, complemented
396#380—712no—
397#380—712no—
398#380—712no—
399#380—712no—
400#380—712no—
401#380—714no—
402#380—714no—
403#380C2×D7112yes—
404C4×C4⋊C4—712no—
405C4×C4⋊C4C2×D7112yescomplemented
406C4×C22⋊C4—714no—
407C4×C22⋊C4—714no—
408C2×#95—714no—
409C25—711no—
410C2×#41—2842no—
411C2×#41—2842no—
412C2×#41—718no—
413C22×Q8—711no—
414C22×D4—712no—
415C22×D4—711no—
416C22×D4—712no—
417C22×D4—712no—
418C23×C4—2842no—
419C23×C4—2842no—
420C23×C4—714no—
421C23×C4—711no—
422C23×C4—718no—
423C23×C4—712no—
424C23×C4—714no—
425C23×C4—714no—
426C23×C4—712no—
427C23×C4—712no—
428C23×C4C22×D7111yescharacteristic
429#123—7116no—
430C22⋊Q8—7116no—
431#121—7116no—
432#120—7116no—
433C4×D4—2848no—
434C4×D4—2848no—
435C4×D4—7116no—
436C4×D4—7116no—
437#117—2844no—
438#117C4×D7118yescomplemented
439C2×C4⋊C4—2844no—
440C2×C4⋊C4—2844no—
441C2×C4⋊C4—2844no—
442C2×C4⋊C4—714no—
443C2×C4⋊C4—714no—
444C2×C4⋊C4—714no—
445C2×C4⋊C4—714no—
446C2×C4⋊C4—712no—
447C2×C4⋊C4—712no—
448C2×C4⋊C4—712no—
449C2×C4⋊C4—712no—
450C2×C4⋊C4C22×D7112yes—
451C2×C4⋊C4C22×D7112yes—
452C2×C4⋊C4C22×D7114yes—
453C2×C4⋊C4C22×D7112yes—
454C2×C22⋊C4—2848no—
455C2×C22⋊C4—714no—
456C2×C22⋊C4—714no—
457C2×C22⋊C4—714no—
458C2×C22⋊C4—714no—
459C2×C22⋊C4—712no—
460C2×C22⋊C4—712no—
461C2×C22⋊C4—712no—
462C2×C22⋊C4—712no—
463C2×C22⋊C4—714no—
464C2×C22⋊C4—714no—
465C2×C22⋊C4C22×D7114yes—
466C2×C22⋊C4C22×D7112yes—
467C2×C42—714no—
468C2×C42—714no—
469C2×C42C22×D7114yes—
470C2×C42C22×D7111yescharacteristic
471C2×C42C22×D7111yescharacteristic
472#95—714no—
473#95—714no—
474#95—714no—
475#95—714no—
476#95—714no—
477#95—714no—
478#95—714no—
479#95C22×D7114yes—
480#95C22×D7114yes—
481#95C22×D7114yes—
482C24—2841no—
483C24—2841no—
484C24—714no—
485C24—712no—
486C24—712no—
487C24—1424no—
488C24—1424no—
489C24C23×D7111yescharacteristic
490#41—28416no—
491C2×Q8—2841no—
492C2×Q8—2841no—
493C2×Q8—714no—
494C2×D4—2841no—
495C2×D4—2841no—
496C2×D4—2842no—
497C2×D4—2842no—
498C2×D4—718no—
499C2×D4—714no—
500C2×D4—718no—
501C2×D4—718no—
502C2×D4—1424no—
503C2×D4—1424no—
504C2×D4—1424no—
505C2×D4—1424no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—2842no—
509C22×C4—2842no—
510C22×C4—28416no—
511C22×C4—2844no—
512C22×C4—2844no—
513C22×C4—2844no—
514C22×C4—2844no—
515C22×C4—2844no—
516C22×C4—2844no—
517C22×C4—2844no—
518C22×C4—2841no—
519C22×C4—2841no—
520C22×C4—714no—
521C22×C4—718no—
522C22×C4—712no—
523C22×C4—712no—
524C22×C4—718no—
525C22×C4—718no—
526C22×C4—714no—
527C22×C4—714no—
528C22×C4—1428no—
529C22×C4—1428no—
530C22×C4—1424no—
531C22×C4—1424no—
532C22×C4—1424no—
533C22×C4—1424no—
534C22×C4C2×C4×D7114yes—
535C22×C4C23×D7114yes—
536C22×C4C23×D7114yes—
537C22×C4C23×D7111yescharacteristic
538C22×C4C23×D7112yes—
539C22×C4C23×D7112yes—
540C22×C4C23×D7111yescharacteristic
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—44no—
544C4⋊C4—2844no—
545C4⋊C4—2844no—
546C4⋊C4—2844no—
547C4⋊C4—2844no—
548C4⋊C4—718no—
549C4⋊C4—718no—
550C4⋊C4—1424no—
551C4⋊C4—1424no—
552C4⋊C4C2×C4×D7118yes—
553C22⋊C4—44no—
554C22⋊C4—2844no—
555C22⋊C4—2844no—
556C22⋊C4—2844no—
557C22⋊C4—2844no—
558C22⋊C4—718no—
559C22⋊C4—718no—
560C22⋊C4—718no—
561C22⋊C4—718no—
562C22⋊C4—1428no—
563C22⋊C4—1428no—
564C22⋊C4C2×C4×D7118yes—
565C42—44no—
566C42—2844no—
567C42—2844no—
568C42C2×C4×D7114yes—
569C42C2×C4×D7114yes—
570C23—22no—
571C23—21no—
572C23—21no—
573C23—22no—
574C23—2844no—
575C23—2848no—
576C23—2844no—
577C23—2844no—
578C23—714no—
579C23—714no—
580C23—714no—
581C23—714no—
582C23—14216no—
583C23—1422no—
584C23—1422no—
585C23—1422no—
586C23—1422no—
587C23—1422no—
588C23—1422no—
589C23—1422no—
590C23—1422no—
591C23—1422no—
592C23—1422no—
593C23C22×C4×D7112yes—
594C23C24×D7111yescharacteristic
595Q8—2844no—
596D4—2844no—
597D4—2848no—
598D4—14216no—
599D4—14216no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—28no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—2848no—
614C2×C4—2844no—
615C2×C4—5688no—
616C2×C4—5688no—
617C2×C4—5688no—
618C2×C4—714no—
619C2×C4—714no—
620C2×C4—1424no—
621C2×C4—1424no—
622C2×C4—1424no—
623C2×C4—1424no—
624C2×C4—1424no—
625C2×C4—1424no—
626C2×C4—1422no—
627C2×C4—1422no—
628C2×C4—1422no—
629C2×C4—1422no—
630C2×C4—14216no—
631C2×C4—14216no—
632C2×C4C22×C4×D7114yes—
633C2×C4C22×C4×D7114yes—
634C2×C4C22×C4×D7112yes—
635C2×C4C22×C4×D7112yes—
636C2×C4#1455617412yes—
637C2×C4#1455617412yes—
638C22—22no—
639C22—24no—
640C22—42no—
641C22—41no—
642C22—41no—
643C22—28416no—
644C22—2842no—
645C22—2842no—
646C22—2842no—
647C22—2842no—
648C22—718no—
649C22—1424no—
650C22—1424no—
651C22—1424no—
652C22—1424no—
653C22—1424no—
654C22—1424no—
655C22—1424no—
656C22—1424no—
657C22—1424no—
658C22C23×C4×D7111yescharacteristic
659C22H(5,𝔽2)×D7112yes—
660C22C2×#1455617411yescharacteristic
661C22C2×#1455617411yescharacteristic
662C222−1+4×D7112yes—
663C4—22no—
664C4—24no—
665C4—24no—
666C4—44no—
667C4—44no—
668C4—2844no—
669C4—2844no—
670C4—1424no—
671C4—1424no—
672C4#1798647314yes—
673C2—42no—
674C2—2844no—
675C2—1428no—
676C2C2×#1798647311yescharacteristic
677C2#520×D7112yes—
678C2#2260256512yes—
679C2#2260257811yescharacteristic
680C2#2260258811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D71
commutatorC22×C71C24×C4
FittingC71×#2314C2
socle, cosocleC23×C71C25
prime radicalC2×#17986511C2
hypercenter#2314D71
hypocenterC71#34360
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C23 ◁ #2314

Complements

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

NH ≅ G/Ntype
2. #22591486C2semidirect
3. #22591318C2semidirect
4. #22591272C2semidirect
5. #22591266C2semidirect
6. C4⋊C4×D284C2semidirect
7. #22591240C2semidirect
8. #22591069C2semidirect
9. #22591039C2semidirect
10. #22590949C2semidirect
11. #22590929C2semidirect
12. #380×D71C2semidirect
13. C71×#2314C2semidirect
16. #17986511C4semidirect
25. C2×#14556086C22semidirect
28. C2×C4⋊C4×D71C22semidirect
30. #17985903C22semidirect
32. #17985897C22semidirect
33. #17985895C22semidirect
35. #17985890C22semidirect
36. #17985888C22semidirect
37. #17985885C22semidirect
38. #17985884C22semidirect
39. #17985882C22semidirect
42. #17985877C22semidirect
45. #17985873C22semidirect
47. #17985870C22semidirect
48. #17985869C22semidirect
49. #17985865C22semidirect
55. #17985856C22semidirect
56. #17985856C22semidirect
57. C4×C4⋊Dic71C22semidirect
63. #387×C71C22semidirect
64. #384×C71C22semidirect
65. #382×C71C22semidirect
67. C4×C4⋊C4×C71C22semidirect
71. C2×#11765865C2×C4semidirect
80. C22×C4×D71C2×C4semidirect
87. #14556112C2×C4semidirect
88. #14556108C2×C4semidirect
89. #14556103C2×C4semidirect
90. #14556098C2×C4semidirect
92. C4×D284C2×C4semidirect
93. C4×D284C2×C4semidirect
128. #117×C71C2×C4semidirect
351. #2314D71semidirect
354. C71#34360semidirect
383. #387C2×D71semidirect
393. #384C2×D71semidirect
395. #382C2×D71semidirect
405. C4×C4⋊C4C2×D71semidirect
438. #117C4×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179865112
#225914862
#225913182
#225912722
#225912662
C4⋊C4×D2842
#225912402
#225910692
#225910392
#225909492
#225909292
#380×D712
C71×#23142
#3436071