Finite Group Databasebeta

← #32170332

Subgroups — #32170332

Order 18176.

2522 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×#17986624C212yesmaximal
2#22596690C212yesmaximal, complemented
3#22596688C212yesmaximal, complemented
4#22594457C212yesmaximal, complemented
5#22594454C211yesmaximal, characteristic, complemented
6#22593347C214yesmaximal, complemented
7#22593345C214yesmaximal, complemented
8#22592037C214yesmaximal, complemented
9#22592035C214yesmaximal, complemented
10#22590953C212yesmaximal
11#380×D71C212yesmaximal
12C2×#17985846C211yesmaximal, characteristic
13C71×#2659C211yesmaximal, characteristic, complemented
14C23×C4×D71C2211yescharacteristic
15#17986624—216no—
16C2×#14556127C2212yescomplemented
17C2×#14556126C2212yescomplemented
18C2×#14556108C2214yes—
19C2×#14556107C2212yes—
20C2×#14556106C2214yes—
21C2×#14556106C2214yes—
22C2×#14556105C2214yes—
23C2×#14556104C2214yes—
24C2×C4⋊C4×D71C2212yes—
25C2×C4⋊C4×D71C2212yes—
26C22×(C2×D71)⋊C4C2211yescharacteristic
27C22×(C2×D71)⋊C4C2211yescharacteristic
28C2×C22⋊C4×D71C2214yes—
29C22×C4×Dic71C2211yescharacteristic
30C22×C4×Dic71C2211yescharacteristic
31#17985933C2214yescomplemented
32#17985932C2214yescomplemented
33#17985931C2214yescomplemented
34#17985920C2214yescomplemented
35#17985920C2214yescomplemented
36#17985919C2214yescomplemented
37#17985906C2212yescomplemented
38#17985904C2212yescomplemented
39#17985903C2214yescomplemented
40#17985898C2212yescomplemented
41#17985896C2214yescomplemented
42#17985895C2212yescomplemented
43#17985894C2214yescomplemented
44#17985894C2214yescomplemented
45#17985873C2214yes—
46#17985873C2214yes—
47#17985870C2214yes—
48#17985870C2214yes—
49#17985868C2212yescomplemented
50#17985868C2212yescomplemented
51#17985859C2212yes—
52#17985859C2212yes—
53#17985858C2214yes—
54#17985857C2214yes—
55#17985857C2214yes—
56#17985856C2212yes—
57#17985856C2212yes—
58#17985846C2214yes—
59#17985846C2214yes—
60C2×C71⋊#95C2211yescharacteristic
61#95×D71C2214yes—
62C2×C22⋊Q8×C71C2212yes—
63#398×C71C2214yescomplemented
64#395×C71C2214yescomplemented
65#380×C71C2212yes—
66#380×C71C2212yes—
67C2×#95×C71C2211yescharacteristic
68C24×D71C2311yescharacteristic
69C22×Dic142C2314yes—
70C22×Dic142C2312yes—
71C23×Dic71C2311yescharacteristic
72C23×Dic71C2311yescharacteristic
73C23×Dic71C2311yescharacteristic
74C22×C4×D71—42no—
75C22×C4×D71—42no—
76C22×C4×D71Q818yescomplemented
77C22×C4×D71C2312yes—
78C22×C4×D71C2314yes—
79C22×C4×D71C2314yes—
80C22×C4×D71C2312yes—
81#14556127—44no—
82#14556126—44no—
83#14556108—216no—
84#14556107—28no—
85#14556106—216no—
86#14556106—216no—
87#14556105—216no—
88#14556104—216no—
89C2×C4⋊Dic71C2312yes—
90C2×C4⋊Dic71C2314yes—
91C2×C4⋊Dic71C2312yes—
92C2×C4⋊Dic71C2312yes—
93C2×C4⋊Dic71C2312yes—
94C2×C4⋊Dic71C2312yes—
95C2×Dic71⋊C4C2314yes—
96C2×Dic71⋊C4C2314yes—
97C2×Dic71⋊C4C2314yes—
98C2×Dic71⋊C4C2314yes—
99C2×Dic71⋊C4C2314yes—
100C2×Dic71⋊C4C2314yes—
101C2×Dic71⋊C4C2314yes—
102C4⋊C4×D71—44no—
103C4⋊C4×D71—44no—
104C2×C22⋊Dic71C2314yes—
105C2×(C2×D71)⋊C4D418yes—
106C2×(C2×D71)⋊C4Q818yescomplemented
107C2×(C2×D71)⋊C4C2314yes—
108C2×(C2×D71)⋊C4C2314yes—
109C2×(C2×D71)⋊C4C2314yes—
110C2×(C2×D71)⋊C4C2314yes—
111C22⋊C4×D71—216no—
112C2×C4×Dic71—42no—
113C2×C4×Dic71—42no—
114C2×C4×Dic71C2312yes—
115C2×C4×Dic71C2312yes—
116C2×C4×Dic71C2312yes—
117C2×C4×Dic71C2312yes—
118C71⋊#95C2314yes—
119C71⋊#95C2314yes—
120C71⋊#95C2314yes—
121C71⋊#95C2314yes—
122C71⋊#95C2314yes—
123C71⋊#95C2314yes—
124C71⋊#95C2314yes—
125C22×Q8×C71C2312yes—
126C23×C4×C71C2311yescharacteristic
127C23×C4×C71C2311yescharacteristic
128C23×C4×C71C2311yescharacteristic
129C22⋊Q8×C71—28no—
130C2×C4⋊C4×C71C2312yes—
131C2×C4⋊C4×C71C2314yes—
132C2×C4⋊C4×C71C2312yes—
133C2×C4⋊C4×C71C2312yes—
134C2×C4⋊C4×C71C2312yes—
135C2×C4⋊C4×C71C2312yes—
136C2×C22⋊C4×C71C2314yes—
137#95×C71C2314yes—
138#95×C71C2314yes—
139#95×C71C2314yes—
140C23×D71—41no—
141C23×D71—41no—
142C23×D71—41no—
143C23×D71—41no—
144C23×D71C2×D414yes—
145C23×D71C2×Q814yes—
146C23×D71C2×Q814yes—
147C23×D71C2412yes—
148C2×Dic142—24no—
149C2×Dic142—28no—
150C2×Dic142—44no—
151C2×Dic142—42no—
152C2×Dic142—42no—
153C2×Dic142—44no—
154C22×Dic71—22no—
155C22×Dic71—22no—
156C22×Dic71—41no—
157C22×Dic71—41no—
158C22×Dic71—41no—
159C22×Dic71—41no—
160C22×Dic71C2×D414yes—
161C22×Dic71C2×Q814yes—
162C22×Dic71C2×Q814yes—
163C22×Dic71C2414yes—
164C22×Dic71C2414yes—
165C22×Dic71C2412yes—
166C22×Dic71C2411yescharacteristic
167C22×Dic71C2412yes—
168C22×Dic71C2411yescharacteristic
169C2×C4×D71—24no—
170C2×C4×D71—24no—
171C2×C4×D71—28no—
172C2×C4×D71—28no—
173C2×C4×D71—416no—
174C2×C4×D71—42no—
175C2×C4×D71—42no—
176C2×C4×D71—44no—
177C2×C4×D71—44no—
178C2×C4×D71—44no—
179C2×C4×D71—44no—
180C2×C4×D71C2×Q818yes—
181C2×C4×D71C2×Q818yes—
182C4⋊Dic71—24no—
183C4⋊Dic71—28no—
184C4⋊Dic71—42no—
185C4⋊Dic71—42no—
186C4⋊Dic71—42no—
187C4⋊Dic71—42no—
188Dic71⋊C4—28no—
189Dic71⋊C4—28no—
190Dic71⋊C4—28no—
191Dic71⋊C4—28no—
192Dic71⋊C4—28no—
193Dic71⋊C4—44no—
194Dic71⋊C4—44no—
195C22⋊Dic71—28no—
196(C2×D71)⋊C4—28no—
197(C2×D71)⋊C4—28no—
198(C2×D71)⋊C4C2×D4116yes—
199(C2×D71)⋊C4C2×Q8116yes—
200C4×Dic71—24no—
201C4×Dic71—24no—
202C4×Dic71—42no—
203C4×Dic71—42no—
204C24×C71C2411yescharacteristic
205C2×Q8×C71—24no—
206C2×Q8×C71—42no—
207C2×Q8×C71—42no—
208C22×C4×C71—41no—
209C22×C4×C71—41no—
210C22×C4×C71—41no—
211C22×C4×C71—41no—
212C22×C4×C71—41no—
213C22×C4×C71—41no—
214C22×C4×C71C2×D414yes—
215C22×C4×C71C2×Q814yes—
216C22×C4×C71C2×Q814yes—
217C22×C4×C71C2414yes—
218C22×C4×C71C2414yes—
219C22×C4×C71C2412yes—
220C22×C4×C71C2412yes—
221C22×C4×C71C2412yes—
222C4⋊C4×C71—24no—
223C4⋊C4×C71—28no—
224C4⋊C4×C71—42no—
225C4⋊C4×C71—42no—
226C4⋊C4×C71—42no—
227C4⋊C4×C71—42no—
228C22⋊C4×C71—28no—
229C23×C71—21no—
230C23×C71—21no—
231C23×C71—21no—
232C23×C71—21no—
233C23×C71C22×D412yes—
234C23×C71C22×Q812yes—
235C23×C71C22×Q812yes—
236C23×C71C2511yescharacteristic
237C22×D71—22no—
238C22×D71—22no—
239C22×D71—22no—
240C22×D71—22no—
241C22×D71—44no—
242C22×D71—44no—
243C22×D71—44no—
244C22×D71—44no—
245C22×D71—44no—
246C22×D71—44no—
247C22×D71C4⋊Q8116yescomplemented
248C22×D71C22×D414yes—
249C22×D71C22×Q814yes—
250C22×D71C22×Q814yes—
251Q8×C71—84no—
252C2×C4×C71—22no—
253C2×C4×C71—22no—
254C2×C4×C71—22no—
255C2×C4×C71—22no—
256C2×C4×C71—22no—
257C2×C4×C71—22no—
258C2×C4×C71—24no—
259C2×C4×C71—24no—
260C2×C4×C71—24no—
261C2×C4×C71—24no—
262C2×C4×C71—24no—
263C2×C4×C71—24no—
264C2×C4×C71—44no—
265C2×C4×C71—44no—
266C2×C4×C71—44no—
267C2×C4×C71C22×D414yes—
268C2×C4×C71C22×Q814yes—
269C2×C4×C71C22×Q814yes—
270C2×Dic71—22no—
271C2×Dic71—22no—
272C2×Dic71—21no—
273C2×Dic71—21no—
274C2×Dic71—22no—
275C2×Dic71—22no—
276C2×Dic71—28no—
277C2×Dic71—24no—
278C2×Dic71—24no—
279C2×Dic71—24no—
280C2×Dic71—24no—
281C2×Dic71—24no—
282C2×Dic71—24no—
283C2×Dic71—44no—
284C2×Dic71—44no—
285C2×Dic71C22×D414yes—
286C2×Dic71C22×Q814yes—
287C2×Dic71C22×Q812yes—
288C2×Dic71C22×Q812yes—
289C2×Dic71H(5,𝔽2)12yes—
290C2×Dic71H(5,𝔽2)12yes—
291C4×D71—216no—
292C4×D71—48no—
293C4×D71—88no—
294C4×D71—88no—
295Dic142—88no—
296Dic142—84no—
297C22×C71—22no—
298C22×C71—22no—
299C22×C71—22no—
300C22×C71—22no—
301C22×C71—22no—
302C22×C71—22no—
303C22×C71C2×C4⋊Q814yes—
304C22×C71C23×D411yescharacteristic
305C22×C71C23×Q811yescharacteristic
306C22×C71C23×Q811yescharacteristic
307C22×C71C2×H(5,𝔽2)11yescharacteristic
308C22×C71C2×H(5,𝔽2)11yescharacteristic
309C22×C71#58511yescharacteristic
310C22×C71#58511yescharacteristic
311C2×D71—24no—
312C2×D71—24no—
313C2×D71—24no—
314C2×D71—24no—
315C2×D71—24no—
316C2×D71—24no—
317C2×D71—416no—
318C2×D71C2×C4⋊Q818yes—
319C4×C71—24no—
320C4×C71—24no—
321C4×C71—24no—
322C4×C71—44no—
323C4×C71—44no—
324Dic71—22no—
325Dic71—24no—
326Dic71—24no—
327Dic71—44no—
328Dic71—44no—
329Dic71#54314yescomplemented
330#35002—711nomaximal, Sylow
331C2×C71—24no—
332C2×C71C22×C4⋊Q811yescharacteristic
333C2×C71C2×#54311yescharacteristic
334C2×C71#345811yescharacteristic
335C2×C71#349611yescharacteristic
336C2×C71#349611yescharacteristic
337C2×C71#350111yescharacteristic
338C2×C71#350111yescharacteristic
339D71—28no—
340C2×#543—712no—
341#2857—712no—
342#2857—712no—
343#2659—712no—
344#2659—711no—
345#2659D7111yescharacteristic, complemented
346#2549—714no—
347#2549—714no—
348#2440—714no—
349#2440—714no—
350#2315—712no—
351C2×#380—712no—
352C2×C4×C22⋊C4—711no—
353C71#3500211yescharacteristic, complemented, Sylow
354C24×C4—711no—
355#543—14216no—
356C2×C4⋊Q8—712no—
357C2×C4⋊Q8—712no—
358C2×C22⋊Q8—714no—
359C2×C22⋊Q8—712no—
360C2×C22⋊Q8—714no—
361C2×C22⋊Q8—714no—
362C2×C22⋊Q8—714no—
363C2×C22⋊Q8—714no—
364C2×C22⋊Q8C2×D7112yes—
365C22×C4⋊C4—712no—
366C22×C4⋊C4—712no—
367C22×C22⋊C4—711no—
368C22×C22⋊C4—711no—
369C22×C22⋊C4—714no—
370C22×C42—711no—
371C22×C42—711no—
372#398—714no—
373#398—714no—
374#398—714no—
375#398C2×D7114yescomplemented
376#395—714no—
377#395—714no—
378#395—714no—
379#395C2×D7114yescomplemented
380#391—712no—
381#391—712no—
382#391—714no—
383#389—714no—
384#389—714no—
385#389—712no—
386#389—712no—
387#389—714no—
388#385—714no—
389#385—714no—
390#385—714no—
391#385—714no—
392#384—712no—
393#384—712no—
394#380—712no—
395#380—712no—
396#380—712no—
397#380—712no—
398#380—714no—
399#380—714no—
400#380—714no—
401#380C2×D7112yes—
402#380C2×D7112yes—
403C4×C22⋊C4—714no—
404C4×C22⋊C4—714no—
405C2×#95—711no—
406C2×#95—714no—
407C2×#95C2×D7111yescharacteristic
408C25—711no—
409C22×Q8—714no—
410C22×Q8—712no—
411C22×Q8C22×D7112yes—
412C23×C4—2842no—
413C23×C4—2842no—
414C23×C4—711no—
415C23×C4—711no—
416C23×C4—718no—
417C23×C4—712no—
418C23×C4—714no—
419C23×C4—714no—
420C23×C4—711no—
421C23×C4—712no—
422C23×C4C22×D7111yescharacteristic
423C23×C4C22×D7111yescharacteristic
424C23×C4C22×D7111yescharacteristic
425C4⋊Q8—2844no—
426C4⋊Q8—2844no—
427C22⋊Q8—28no—
428C22⋊Q8—14216no—
429C22⋊Q8—14216no—
430C22⋊Q8—14216no—
431C22⋊Q8—14216no—
432C22⋊Q8—14216no—
433C22⋊Q8—1428no—
434C2×C4⋊C4—2844no—
435C2×C4⋊C4—2844no—
436C2×C4⋊C4—712no—
437C2×C4⋊C4—712no—
438C2×C4⋊C4—714no—
439C2×C4⋊C4—712no—
440C2×C4⋊C4—714no—
441C2×C4⋊C4—712no—
442C2×C4⋊C4—714no—
443C2×C4⋊C4—714no—
444C2×C4⋊C4—714no—
445C2×C4⋊C4—712no—
446C2×C4⋊C4—714no—
447C2×C4⋊C4—714no—
448C2×C4⋊C4—714no—
449C2×C4⋊C4C22×D7112yes—
450C2×C4⋊C4C22×D7114yes—
451C2×C4⋊C4C22×D7112yes—
452C2×C4⋊C4C22×D7112yes—
453C2×C4⋊C4C22×D7112yes—
454C2×C4⋊C4C22×D7112yes—
455C2×C22⋊C4—718no—
456C2×C22⋊C4—718no—
457C2×C22⋊C4—714no—
458C2×C22⋊C4—714no—
459C2×C22⋊C4—714no—
460C2×C22⋊C4—714no—
461C2×C22⋊C4—714no—
462C2×C22⋊C4—14216no—
463C2×C22⋊C4C22×D7114yes—
464C2×C42—2842no—
465C2×C42—2842no—
466C2×C42—712no—
467C2×C42—712no—
468C2×C42—712no—
469C2×C42—712no—
470#95—714no—
471#95—714no—
472#95—714no—
473#95—714no—
474#95—714no—
475#95—714no—
476#95—714no—
477#95C22×D7114yes—
478#95C22×D7114yes—
479#95C22×D7114yes—
480C24—2841no—
481C24—2841no—
482C24—2841no—
483C24—2841no—
484C24—714no—
485C24—714no—
486C24—714no—
487C24—712no—
488C24C23×D7111yescharacteristic
489C2×Q8—24no—
490C2×Q8—42no—
491C2×Q8—42no—
492C2×Q8—2842no—
493C2×Q8—2844no—
494C2×Q8—2842no—
495C2×Q8—2844no—
496C2×Q8—1428no—
497C2×Q8—1424no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—2842no—
505C22×C4—2842no—
506C22×C4—2844no—
507C22×C4—2844no—
508C22×C4—2844no—
509C22×C4—2844no—
510C22×C4—28416no—
511C22×C4—2841no—
512C22×C4—2841no—
513C22×C4—2841no—
514C22×C4—2841no—
515C22×C4—714no—
516C22×C4—714no—
517C22×C4—718no—
518C22×C4—711no—
519C22×C4—714no—
520C22×C4—711no—
521C22×C4—712no—
522C22×C4—712no—
523C22×C4—718no—
524C22×C4—714no—
525C22×C4—714no—
526C22×C4—1428no—
527C22×C4—1428no—
528C22×C4—1424no—
529C22×C4—1424no—
530C22×C4—1422no—
531C22×C4—1422no—
532C22×C4D4×D7114yes—
533C22×C4Q8×D7114yes—
534C22×C4Q8×D7114yes—
535C22×C4C23×D7114yes—
536C22×C4C23×D7114yes—
537C22×C4C23×D7112yes—
538C22×C4C23×D7112yes—
539C22×C4C23×D7112yes—
540C4⋊C4—24no—
541C4⋊C4—28no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—2844no—
547C4⋊C4—2844no—
548C4⋊C4—2842no—
549C4⋊C4—2842no—
550C4⋊C4—2842no—
551C4⋊C4—2842no—
552C4⋊C4—1428no—
553C4⋊C4—1428no—
554C4⋊C4—1428no—
555C4⋊C4—1428no—
556C4⋊C4—1428no—
557C4⋊C4—1428no—
558C4⋊C4—1424no—
559C22⋊C4—28no—
560C22⋊C4—7116no—
561C22⋊C4—7116no—
562C22⋊C4—1428no—
563C22⋊C4—1428no—
564C22⋊C4—1428no—
565C42—2842no—
566C42—2842no—
567C42—1424no—
568C42—1424no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—2844no—
574C23—2844no—
575C23—2844no—
576C23—2844no—
577C23—2844no—
578C23—2844no—
579C23—7116no—
580C23—714no—
581C23—714no—
582C23—714no—
583C23—1422no—
584C23—1422no—
585C23—1422no—
586C23—1422no—
587C23C2×D4×D7112yes—
588C23C2×Q8×D7112yes—
589C23C2×Q8×D7112yes—
590C23C24×D7111yescharacteristic
591Q8—84no—
592Q8—5684no—
593Q8—5688no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—44no—
607C2×C4—44no—
608C2×C4—44no—
609C2×C4—2848no—
610C2×C4—2844no—
611C2×C4—2844no—
612C2×C4—5688no—
613C2×C4—5688no—
614C2×C4—712no—
615C2×C4—712no—
616C2×C4—712no—
617C2×C4—714no—
618C2×C4—714no—
619C2×C4—712no—
620C2×C4—14216no—
621C2×C4—1424no—
622C2×C4—1424no—
623C2×C4—1424no—
624C2×C4—1424no—
625C2×C4—1424no—
626C2×C4—1424no—
627C2×C4—1428no—
628C2×C4—1421no—
629C2×C4—1421no—
630C2×C4—1422no—
631C2×C4—1422no—
632C2×C4—1422no—
633C2×C4—1422no—
634C2×C4C2×D4×D7114yes—
635C2×C4C2×Q8×D7114yes—
636C2×C4C2×Q8×D7114yes—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—28416no—
644C22—718no—
645C22—1424no—
646C22—1424no—
647C22—1424no—
648C22—1424no—
649C22—1424no—
650C22—1424no—
651C22C4⋊Q8×D7114yes—
652C22C22×D4×D7111yescharacteristic
653C22C22×Q8×D7111yescharacteristic
654C22C22×Q8×D7111yescharacteristic
655C22H(5,𝔽2)×D7111yescharacteristic
656C22H(5,𝔽2)×D7111yescharacteristic
657C22#1798683411yescharacteristic
658C22#1798683611yescharacteristic
659C4—24no—
660C4—24no—
661C4—24no—
662C4—44no—
663C4—44no—
664C4—2844no—
665C4—2844no—
666C4—714no—
667C4—1422no—
668C4—1424no—
669C4—1424no—
670C2—24no—
671C2—1428no—
672C2C2×C4⋊Q8×D7111yescharacteristic
673C2#543×D7111yescharacteristic
674C2#2260174411yescharacteristic
675C2#2260210111yescharacteristic
676C2#2260210311yescharacteristic
677C2#2260214011yescharacteristic
678C2#2260214211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D71
commutator, socle, cosocleC23×C71C25
FittingC71×#2659C2
prime radicalC24×D71C23
hypercenter#2659D71
hypocenterC71#35002
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C23 ◁ #2659

Complements

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

NH ≅ G/Ntype
2. #22596690C2semidirect
3. #22596688C2semidirect
4. #22594457C2semidirect
5. #22594454C2semidirect
6. #22593347C2semidirect
7. #22593345C2semidirect
8. #22592037C2semidirect
9. #22592035C2semidirect
13. C71×#2659C2semidirect
16. C2×#14556127C22semidirect
17. C2×#14556126C22semidirect
31. #17985933C22semidirect
32. #17985932C22semidirect
33. #17985931C22semidirect
34. #17985920C22semidirect
35. #17985920C22semidirect
36. #17985919C22semidirect
37. #17985906C22semidirect
38. #17985904C22semidirect
39. #17985903C22semidirect
40. #17985898C22semidirect
41. #17985896C22semidirect
42. #17985895C22semidirect
43. #17985894C22semidirect
44. #17985894C22semidirect
49. #17985868C22semidirect
50. #17985868C22semidirect
63. #398×C71C22semidirect
64. #395×C71C22semidirect
76. C22×C4×D71Q8semidirect
106. C2×(C2×D71)⋊C4Q8semidirect
247. C22×D71C4⋊Q8semidirect
329. Dic71#543semidirect
345. #2659D71semidirect
353. C71#35002semidirect
375. #398C2×D71semidirect
379. #395C2×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179866242
#225966902
#225966882
#225944572
#225944542
#225933472
#225933452
#225920372
#225920352
#225909532
#380×D712
C2×#179858462
C71×#26592
#3500271