Finite Group Databasebeta

← #1442×D71 #31919136

Subgroups — #1442×D71 #31919136

Order 18176.

2942 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊C4×D71C211yesmaximal, characteristic
2C2×#95×D71C212yesmaximal
3C2×#95×D71C212yesmaximal
4C2×#95×D71C211yesmaximal, characteristic
5C2×#95×D71C211yesmaximal, characteristic
6#22586599C211yesmaximal, characteristic, complemented
7#22586598C212yesmaximal, complemented
8#22586597C211yesmaximal, characteristic, complemented
9#22586596C211yesmaximal, characteristic, complemented
10#22586595C212yesmaximal, complemented
11C71×#1442C211yesmaximal, characteristic, complemented
12C23×C4×D71C2212yes—
13C23×C4×D71C2212yes—
14C23×C4×D71C2211yescharacteristic
15C23×C4×D71C2211yescharacteristic
16C23×C4×D71C2211yescharacteristic
17C22×C4⋊Dic71C2211yescharacteristic
18C22×Dic71⋊C4C2212yes—
19C2×C4⋊C4×D71—28no—
20C2×C4⋊C4×D71—24no—
21C2×C71⋊#95C2211yescharacteristic
22C2×C71⋊#95C2212yes—
23C2×C71⋊#95C2212yes—
24C2×C71⋊#95C2212yes—
25C2×C71⋊#95C2212yes—
26C2×C71⋊#95C2212yes—
27C2×C71⋊#95C2211yescharacteristic
28C2×C71⋊#95C2211yescharacteristic
29C2×C71⋊#95C2212yes—
30C2×C71⋊#95C2212yes—
31C2×C71⋊#95C2211yescharacteristic
32#95×D71—28no—
33#95×D71—28no—
34#95×D71—24no—
35#95×D71C418yescomplemented
36C22×C4⋊C4×C71C2211yescharacteristic
37C2×#95×C71C2212yes—
38C2×#95×C71C2211yescharacteristic
39C2×#95×C71C2212yes—
40C2×#95×C71C2211yescharacteristic
41C24×D71C2311yescharacteristic
42C23×Dic71C2312yes—
43C23×Dic71C2311yescharacteristic
44C23×Dic71C2312yes—
45C23×Dic71C2311yescharacteristic
46C23×Dic71C2311yescharacteristic
47C22×C4×D71—24no—
48C22×C4×D71—24no—
49C22×C4×D71—24no—
50C22×C4×D71—24no—
51C22×C4×D71—24no—
52C22×C4×D71—22no—
53C22×C4×D71—22no—
54C22×C4×D71—24no—
55C22×C4×D71—24no—
56C22×C4×D71—24no—
57C22×C4×D71—24no—
58C22×C4×D71—24no—
59C22×C4×D71—24no—
60C22×C4×D71—24no—
61C22×C4×D71—24no—
62C22×C4×D71—22no—
63C22×C4×D71—24no—
64C22×C4×D71—22no—
65C22×C4×D71—24no—
66C22×C4×D71—24no—
67C22×C4×D71—24no—
68C22×C4×D71—24no—
69C22×C4×D71C2×C418yes—
70C22×C4×D71C2×C414yes—
71C22×C4×D71D414yes—
72C22×C4×D71D418yes—
73C22×C4×D71D414yes—
74C22×C4×D71Q814yes—
75C22×C4×D71Q814yes—
76C2×C4⋊Dic71—24no—
77C2×C4⋊Dic71—22no—
78C2×Dic71⋊C4—24no—
79C2×Dic71⋊C4—24no—
80C2×Dic71⋊C4—24no—
81C4⋊C4×D71—232no—
82C71⋊#95—24no—
83C71⋊#95—24no—
84C71⋊#95—24no—
85C71⋊#95—24no—
86C71⋊#95—22no—
87C71⋊#95—22no—
88C71⋊#95—24no—
89C71⋊#95—24no—
90C71⋊#95—22no—
91C71⋊#95C2×C418yescomplemented
92C71⋊#95C2×C414yescomplemented
93C23×C4×C71C2312yes—
94C23×C4×C71C2311yescharacteristic
95C23×C4×C71C2312yes—
96C23×C4×C71C2311yescharacteristic
97C23×C4×C71C2311yescharacteristic
98C2×C4⋊C4×C71—24no—
99C2×C4⋊C4×C71—22no—
100#95×C71—24no—
101#95×C71—24no—
102#95×C71—22no—
103#95×C71C2×C414yescomplemented
104C23×D71C22×C412yes—
105C23×D71C2×D412yes—
106C23×D71C2×D414yes—
107C23×D71C2×D412yes—
108C23×D71C2×Q812yes—
109C23×D71C2×Q812yes—
110C23×D71#4114yes—
111C23×D71#4114yes—
112C23×D71#4114yes—
113C23×D71#4112yes—
114C23×D71#4112yes—
115C22×Dic71—22no—
116C22×Dic71—22no—
117C22×Dic71—22no—
118C22×Dic71—22no—
119C22×Dic71—22no—
120C22×Dic71—21no—
121C22×Dic71—21no—
122C22×Dic71—22no—
123C22×Dic71—22no—
124C22×Dic71—22no—
125C22×Dic71—22no—
126C22×Dic71—22no—
127C22×Dic71—22no—
128C22×Dic71—22no—
129C22×Dic71—22no—
130C22×Dic71—21no—
131C22×Dic71—22no—
132C22×Dic71—21no—
133C22×Dic71—22no—
134C22×Dic71—22no—
135C22×Dic71—22no—
136C22×Dic71—22no—
137C22×Dic71C22×C414yes—
138C22×Dic71C22×C412yes—
139C22×Dic71C2×D412yes—
140C22×Dic71C2×D414yes—
141C22×Dic71C2×D412yes—
142C22×Dic71C2×Q812yes—
143C22×Dic71C2×Q812yes—
144C2×C4×D71—216no—
145C2×C4×D71—28no—
146C2×C4×D71—216no—
147C2×C4×D71—28no—
148C2×C4×D71—216no—
149C2×C4×D71—216no—
150C2×C4×D71—216no—
151C2×C4×D71—216no—
152C2×C4×D71—216no—
153C2×C4×D71—28no—
154C2×C4×D71—216no—
155C2×C4×D71—28no—
156C2×C4×D71—216no—
157C2×C4×D71—216no—
158C2×C4×D71—44no—
159C2×C4×D71—48no—
160C2×C4×D71—48no—
161C2×C4×D71—48no—
162C2×C4×D71—48no—
163C2×C4×D71—48no—
164C2×C4×D71—44no—
165C2×C4×D71—48no—
166C2×C4×D71—44no—
167C2×C4×D71—48no—
168C2×C4×D71—48no—
169C2×C4×D71—44no—
170C2×C4×D71—48no—
171C2×C4×D71—48no—
172C2×C4×D71C4⋊C4116yes—
173C4⋊Dic71—28no—
174Dic71⋊C4—216no—
175C24×C71C2411yescharacteristic
176C22×C4×C71—22no—
177C22×C4×C71—22no—
178C22×C4×C71—22no—
179C22×C4×C71—22no—
180C22×C4×C71—22no—
181C22×C4×C71—21no—
182C22×C4×C71—21no—
183C22×C4×C71—22no—
184C22×C4×C71—22no—
185C22×C4×C71—22no—
186C22×C4×C71—22no—
187C22×C4×C71—22no—
188C22×C4×C71—22no—
189C22×C4×C71—22no—
190C22×C4×C71—22no—
191C22×C4×C71—21no—
192C22×C4×C71—22no—
193C22×C4×C71—21no—
194C22×C4×C71—22no—
195C22×C4×C71—22no—
196C22×C4×C71—22no—
197C22×C4×C71—22no—
198C22×C4×C71C22×C414yes—
199C22×C4×C71C22×C412yes—
200C22×C4×C71C2×D412yes—
201C22×C4×C71C2×D414yes—
202C22×C4×C71C2×D412yes—
203C22×C4×C71C2×Q812yes—
204C22×C4×C71C2×Q812yes—
205C4⋊C4×C71—28no—
206C23×C71C23×C411yescharacteristic
207C23×C71C22×D411yescharacteristic
208C23×C71C22×D412yes—
209C23×C71C22×D411yescharacteristic
210C23×C71C22×Q811yescharacteristic
211C23×C71C22×Q811yescharacteristic
212C23×C71C2×#4112yes—
213C23×C71C2×#4112yes—
214C23×C71C2×#4112yes—
215C23×C71C2×#4111yescharacteristic
216C23×C71C2×#4111yescharacteristic
217C22×D71C2×C4⋊C414yes—
218C22×D71#11718yes—
219C22×D71C4×D418yes—
220C22×D71C4×D414yes—
221C22×D71C4×Q814yes—
222C22×D71#12014yes—
223C22×D71#12118yes—
224C22×D71#12114yes—
225C22×D71C22⋊Q818yes—
226C22×D71C22⋊Q818yes—
227C22×D71C22⋊Q814yes—
228C22×D71#12314yes—
229C22×D71#12318yes—
230C22×D71#12318yes—
231C22×D71#12414yes—
232C22×D71#12414yes—
233C22×D71#12418yes—
234C22×D71#12518yes—
235C22×D71#12518yes—
236C22×D71#12514yes—
237C22×D71#12618yes—
238C22×D71#12618yes—
239C22×D71C4⋊Q814yes—
240C2×C4×C71—24no—
241C2×C4×C71—22no—
242C2×C4×C71—24no—
243C2×C4×C71—22no—
244C2×C4×C71—24no—
245C2×C4×C71—24no—
246C2×C4×C71—24no—
247C2×C4×C71—24no—
248C2×C4×C71—24no—
249C2×C4×C71—22no—
250C2×C4×C71—24no—
251C2×C4×C71—22no—
252C2×C4×C71—24no—
253C2×C4×C71—24no—
254C2×C4×C71—41no—
255C2×C4×C71—42no—
256C2×C4×C71—42no—
257C2×C4×C71—42no—
258C2×C4×C71—42no—
259C2×C4×C71—41no—
260C2×C4×C71—42no—
261C2×C4×C71—41no—
262C2×C4×C71—42no—
263C2×C4×C71—42no—
264C2×C4×C71—41no—
265C2×C4×C71—42no—
266C2×C4×C71—42no—
267C2×C4×C71—42no—
268C2×C4×C71C2×C4⋊C414yes—
269C2×Dic71—24no—
270C2×Dic71—22no—
271C2×Dic71—24no—
272C2×Dic71—22no—
273C2×Dic71—24no—
274C2×Dic71—24no—
275C2×Dic71—24no—
276C2×Dic71—24no—
277C2×Dic71—24no—
278C2×Dic71—22no—
279C2×Dic71—24no—
280C2×Dic71—22no—
281C2×Dic71—24no—
282C2×Dic71—24no—
283C2×Dic71—41no—
284C2×Dic71—42no—
285C2×Dic71—42no—
286C2×Dic71—42no—
287C2×Dic71—42no—
288C2×Dic71—41no—
289C2×Dic71—42no—
290C2×Dic71—41no—
291C2×Dic71—42no—
292C2×Dic71—42no—
293C2×Dic71—41no—
294C2×Dic71—42no—
295C2×Dic71—42no—
296C2×Dic71—42no—
297C2×Dic71C2×C4⋊C414yes—
298C4×D71—232no—
299C4×D71—432no—
300C4×D71—416no—
301C4×D71—432no—
302C4×D71—416no—
303C22×C71C22×C4⋊C411yescharacteristic
304C22×C71C2×#11712yes—
305C22×C71C2×C4×D412yes—
306C22×C71C2×C4×D411yescharacteristic
307C22×C71C2×C4×Q811yescharacteristic
308C22×C71C2×#12011yescharacteristic
309C22×C71C2×#12111yescharacteristic
310C22×C71C2×#12112yes—
311C22×C71C2×C22⋊Q812yes—
312C22×C71C2×C22⋊Q811yescharacteristic
313C22×C71C2×C22⋊Q812yes—
314C22×C71C2×#12312yes—
315C22×C71C2×#12312yes—
316C22×C71C2×#12311yescharacteristic
317C22×C71C2×#12411yescharacteristic
318C22×C71C2×#12412yes—
319C22×C71C2×#12411yescharacteristic
320C22×C71C2×#12512yes—
321C22×C71C2×#12512yes—
322C22×C71C2×#12511yescharacteristic
323C22×C71C2×#12612yes—
324C22×C71C2×#12612yes—
325C22×C71C2×C4⋊Q811yescharacteristic
326C2×D71#38218yes—
327C2×D71#38518yes—
328C2×D71#387116yes—
329C2×D71#388116yes—
330C2×D71#38918yes—
331C2×D71#39318yes—
332C2×D71#39418yes—
333C2×D71#39718yes—
334C2×D71#398116yes—
335C2×D71#400116yes—
336C2×D71#40018yes—
337C4×C71—24no—
338C4×C71—42no—
339C4×C71—44no—
340C4×C71—42no—
341C4×C71—44no—
342Dic71—24no—
343Dic71—42no—
344Dic71—44no—
345Dic71—42no—
346Dic71—44no—
347C2×#1442—711nomaximal, Sylow
348C2×C71C2×#38211yescharacteristic
349C2×C71C2×#38511yescharacteristic
350C2×C71C2×#38712yes—
351C2×C71C2×#38812yes—
352C2×C71C2×#38911yescharacteristic
353C2×C71C2×#39311yescharacteristic
354C2×C71C2×#39411yescharacteristic
355C2×C71C2×#39711yescharacteristic
356C2×C71C2×#39812yes—
357C2×C71C2×#40011yescharacteristic
358C2×C71C2×#40012yes—
359D71#1442116yesdirect product factor
360C23×C4⋊C4—711no—
361C22×#95—711no—
362C22×#95—711no—
363C22×#95—712no—
364C22×#95—712no—
365#1442—712no—
366#1442—711no—
367#1442—711no—
368#1442—712no—
369#1442—711no—
370#1442D7111yescharacteristic, direct product factor
371C71C2×#144211yescharacteristic, complemented, Sylow
372C24×C4—711no—
373C24×C4—712no—
374C24×C4—712no—
375C24×C4—711no—
376C24×C4—711no—
377C22×C4⋊C4—712no—
378C22×C4⋊C4—711no—
379C22×C4⋊C4—1424no—
380C22×C4⋊C4—1428no—
381C22×C4⋊C4C2×D7111yescharacteristic
382C2×#95—712no—
383C2×#95—711no—
384C2×#95—718no—
385C2×#95—711no—
386C2×#95—711no—
387C2×#95—712no—
388C2×#95—712no—
389C2×#95—712no—
390C2×#95—712no—
391C2×#95—712no—
392C2×#95—712no—
393C2×#95—711no—
394C2×#95—1424no—
395C2×#95—1428no—
396C2×#95—1428no—
397C2×#95C2×D7112yes—
398C2×#95C2×D7112yes—
399C2×#95C2×D7111yescharacteristic
400C2×#95C2×D7111yescharacteristic
401C25—711no—
402C23×C4—711no—
403C23×C4—714no—
404C23×C4—714no—
405C23×C4—714no—
406C23×C4—712no—
407C23×C4—712no—
408C23×C4—711no—
409C23×C4—711no—
410C23×C4—718no—
411C23×C4—718no—
412C23×C4—714no—
413C23×C4—714no—
414C23×C4—1424no—
415C23×C4—1424no—
416C23×C4—1424no—
417C23×C4—1424no—
418C23×C4—1424no—
419C23×C4—1424no—
420C23×C4—1424no—
421C23×C4—1424no—
422C23×C4—1424no—
423C23×C4—1422no—
424C23×C4—1424no—
425C23×C4—1422no—
426C23×C4—1424no—
427C23×C4—1424no—
428C23×C4—1424no—
429C23×C4—1424no—
430C23×C4—1424no—
431C23×C4—1422no—
432C23×C4—1422no—
433C23×C4—1424no—
434C23×C4—1424no—
435C23×C4—1424no—
436C23×C4C22×D7112yes—
437C23×C4C22×D7112yes—
438C23×C4C22×D7111yescharacteristic
439C23×C4C22×D7111yescharacteristic
440C23×C4C22×D7111yescharacteristic
441C2×C4⋊C4—24no—
442C2×C4⋊C4—22no—
443C2×C4⋊C4—14232no—
444C2×C4⋊C4—1424no—
445C2×C4⋊C4—1424no—
446C2×C4⋊C4—1424no—
447C2×C4⋊C4—1424no—
448C2×C4⋊C4—1422no—
449#95—24no—
450#95—24no—
451#95—22no—
452#95—718no—
453#95—714no—
454#95—1422no—
455#95—1422no—
456#95—1424no—
457#95—1424no—
458#95—1424no—
459#95—1424no—
460#95—1424no—
461#95—1424no—
462#95—1422no—
463#95C4×D7114yescomplemented
464C24—712no—
465C24—712no—
466C24—714no—
467C24—712no—
468C24—712no—
469C24—712no—
470C24—714no—
471C24—714no—
472C24—714no—
473C24—712no—
474C24—712no—
475C24C23×D7111yescharacteristic
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—2844no—
499C22×C4—2848no—
500C22×C4—2848no—
501C22×C4—2848no—
502C22×C4—2848no—
503C22×C4—2848no—
504C22×C4—2844no—
505C22×C4—2848no—
506C22×C4—2848no—
507C22×C4—2844no—
508C22×C4—2848no—
509C22×C4—2844no—
510C22×C4—2848no—
511C22×C4—2848no—
512C22×C4—712no—
513C22×C4—712no—
514C22×C4—712no—
515C22×C4—7116no—
516C22×C4—714no—
517C22×C4—712no—
518C22×C4—714no—
519C22×C4—712no—
520C22×C4—14216no—
521C22×C4—14216no—
522C22×C4—14216no—
523C22×C4—14216no—
524C22×C4—14216no—
525C22×C4—1428no—
526C22×C4—14216no—
527C22×C4—1428no—
528C22×C4—14216no—
529C22×C4—14216no—
530C22×C4—1428no—
531C22×C4—14216no—
532C22×C4—14216no—
533C22×C4—1428no—
534C22×C4—1421no—
535C22×C4—1422no—
536C22×C4—1422no—
537C22×C4—1422no—
538C22×C4—1422no—
539C22×C4—1421no—
540C22×C4—1422no—
541C22×C4—1422no—
542C22×C4—1422no—
543C22×C4—1422no—
544C22×C4—1422no—
545C22×C4—1422no—
546C22×C4—1422no—
547C22×C4—1422no—
548C22×C4—1422no—
549C22×C4—1422no—
550C22×C4—1421no—
551C22×C4—1422no—
552C22×C4—1422no—
553C22×C4—1421no—
554C22×C4—1422no—
555C22×C4—1422no—
556C22×C4C2×C4×D7114yes—
557C22×C4C2×C4×D7112yes—
558C22×C4D4×D7112yes—
559C22×C4D4×D7114yes—
560C22×C4D4×D7112yes—
561C22×C4Q8×D7112yes—
562C22×C4Q8×D7112yes—
563C4⋊C4—28no—
564C4⋊C4—14216no—
565C4⋊C4—1428no—
566C23—714no—
567C23—718no—
568C23—718no—
569C23—714no—
570C23—714no—
571C23—714no—
572C23—718no—
573C23—714no—
574C23—718no—
575C23—718no—
576C23—714no—
577C23—714no—
578C23—718no—
579C23—718no—
580C23—714no—
581C23—714no—
582C23—718no—
583C23—718no—
584C23—718no—
585C23—714no—
586C23—718no—
587C23—718no—
588C23—714no—
589C23C22×C4×D7111yescharacteristic
590C23C2×D4×D7111yescharacteristic
591C23C2×D4×D7112yes—
592C23C2×D4×D7111yescharacteristic
593C23C2×Q8×D7111yescharacteristic
594C23C2×Q8×D7111yescharacteristic
595C23#41×D7112yes—
596C23#41×D7112yes—
597C23#41×D7112yes—
598C23#41×D7111yescharacteristic
599C23#41×D7111yescharacteristic
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—41no—
621C2×C4—42no—
622C2×C4—41no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—41no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—28432no—
629C2×C4—28416no—
630C2×C4—28432no—
631C2×C4—28416no—
632C2×C4—2841no—
633C2×C4—2842no—
634C2×C4—2842no—
635C2×C4—2842no—
636C2×C4—2842no—
637C2×C4—2842no—
638C2×C4—2841no—
639C2×C4—2842no—
640C2×C4—2841no—
641C2×C4—2842no—
642C2×C4—2842no—
643C2×C4—2841no—
644C2×C4—2842no—
645C2×C4—2842no—
646C2×C4—714no—
647C2×C4—14232no—
648C2×C4—1424no—
649C2×C4—1424no—
650C2×C4—1424no—
651C2×C4—1424no—
652C2×C4—1424no—
653C2×C4—1422no—
654C2×C4—1424no—
655C2×C4—1422no—
656C2×C4—1424no—
657C2×C4—1424no—
658C2×C4—1424no—
659C2×C4—1422no—
660C2×C4—1424no—
661C2×C4—1422no—
662C2×C4C4⋊C4×D7114yes—
663C22—718no—
664C22—718no—
665C22—7116no—
666C22—7116no—
667C22—718no—
668C22—718no—
669C22—718no—
670C22—718no—
671C22—7116no—
672C22—7116no—
673C22—718no—
674C22C2×C4⋊C4×D7111yescharacteristic
675C22#117×D7112yes—
676C22C4×D4×D7112yes—
677C22C4×D4×D7111yescharacteristic
678C22C4×Q8×D7111yescharacteristic
679C22#120×D7111yescharacteristic
680C22#121×D7112yes—
681C22#121×D7111yescharacteristic
682C22C22⋊Q8×D7112yes—
683C22C22⋊Q8×D7112yes—
684C22C22⋊Q8×D7111yescharacteristic
685C22#123×D7111yescharacteristic
686C22#123×D7112yes—
687C22#123×D7112yes—
688C22#124×D7111yescharacteristic
689C22#124×D7111yescharacteristic
690C22#124×D7112yes—
691C22#125×D7112yes—
692C22#125×D7112yes—
693C22#125×D7111yescharacteristic
694C22#126×D7112yes—
695C22#126×D7112yes—
696C22C4⋊Q8×D7111yescharacteristic
697C4—24no—
698C4—44no—
699C4—42no—
700C4—44no—
701C4—42no—
702C4—2844no—
703C4—2842no—
704C4—2844no—
705C4—2842no—
706C4—1424no—
707C2—7116no—
708C2#382×D7111yescharacteristic
709C2#385×D7111yescharacteristic
710C2#387×D7112yes—
711C2#388×D7112yes—
712C2#389×D7111yescharacteristic
713C2#393×D7111yescharacteristic
714C2#394×D7111yescharacteristic
715C2#397×D7111yescharacteristic
716C2#398×D7112yes—
717C2#400×D7112yes—
718C2#400×D7111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D71
commutatorC23×C71C23×C4
FittingC71×#1442C2
socle, cosocleC24×C71C24
prime radicalC24×D71C23
hypercenter#1442D71
hypocenterC71C2×#1442
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C24 ◁ #1442

Complements

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

NH ≅ G/Ntype
6. #22586599C2semidirect
7. #22586598C2semidirect
8. #22586597C2semidirect
9. #22586596C2semidirect
10. #22586595C2semidirect
11. C71×#1442C2semidirect
35. #95×D71C4semidirect
91. C71⋊#95C2×C4semidirect
92. C71⋊#95C2×C4semidirect
103. #95×C71C2×C4semidirect
359. D71#1442direct (N × H)
370. #1442D71direct (N × H)
371. C71C2×#1442semidirect
463. #95C4×D71semidirect

Maximal subgroups

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

subgroupindex
C22×C4⋊C4×D712
C2×#95×D712
#225865992
#225865982
#225865972
#225865962
#225865952
C71×#14422
C2×#144271