Finite Group Databasebeta

← #1736×D71 #31994853

Subgroups — #1736×D71 #31994853

Order 18176.

2574 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D71C211yesmaximal, characteristic
2C2×#117×D71C211yesmaximal, characteristic
3C22×C4⋊C4×D71C211yesmaximal, characteristic
4#22588061C211yesmaximal, characteristic, complemented
5#22588060C211yesmaximal, characteristic, complemented
6#22588059C211yesmaximal, characteristic, complemented
7#22588058C214yesmaximal, complemented
8#340×D71C214yesmaximal, complemented
9C71×#1736C211yesmaximal, characteristic, complemented
10C23×C4×D71—21no—
11C23×C4×D71C2211yescharacteristic
12C22×#11765849C2211yescharacteristic
13C22×#11765848C2212yes—
14C2×M16×D71—24no—
15C2×M16×D71—24no—
16C2×M16×D71C418yescomplemented
17C22×C8×D71C2212yes—
18C2×#14556087C2211yescharacteristic
19C2×#14556086C2212yes—
20C2×#14556085—21no—
21C2×#14556084—21no—
22#117×D71—24no—
23#117×D71C418yescomplemented
24C22×C4⋊Dic71C2211yescharacteristic
25C22×Dic71⋊C4—21no—
26C2×C4⋊C4×D71—24no—
27C2×C4⋊C4×D71—21no—
28C2×C4⋊C4×D71—21no—
29C2×C4⋊C4×D71C418yescomplemented
30C2×C4⋊C4×D71C2212yes—
31C2×C4⋊C4×D71C2212yes—
32C2×C4⋊C4×D71C2212yes—
33C2×C22⋊C4×D71—21no—
34C2×C42×D71—21no—
35#17985762C2214yescomplemented
36#17985761C2214yescomplemented
37#17985761C2214yescomplemented
38C22×M16×C71C2211yescharacteristic
39C2×#117×C71C2211yescharacteristic
40C22×C4⋊C4×C71C2211yescharacteristic
41#340×C71C2214yescomplemented
42C24×D71D411yescharacteristic
43C23×Dic71—21no—
44C23×Dic71D411yescharacteristic
45C22×C4×D71—28no—
46C22×C4×D71—22no—
47C22×C4×D71—22no—
48C22×C4×D71—22no—
49C22×C4×D71—48no—
50C22×C4×D71C2×C414yes—
51C22×C4×D71C2×C414yes—
52C22×C4×D71C2×C414yes—
53C22×C4×D71D411yescharacteristic
54C22×C4×D71D411yescharacteristic
55C22×C4×D71D414yes—
56C22×C4×D71D414yes—
57C22×C4×D71Q814yes—
58C22×C4×D71C2311yescharacteristic
59C22×C4×D71C2311yescharacteristic
60C2×#11765849—22no—
61C2×#11765849—22no—
62C2×#11765849C2×C414yescomplemented
63C2×#11765848—24no—
64C2×#11765848—24no—
65C2×#11765848C2×C418yescomplemented
66M16×D71—232no—
67C22×C71⋊C8C2312yes—
68C2×C8×D71—24no—
69C2×C8×D71—24no—
70C2×C8×D71C2×C418yescomplemented
71#14556087—22no—
72#14556087C2×C414yescomplemented
73#14556086—24no—
74#14556086C2×C418yescomplemented
75#14556085—28no—
76#14556084—28no—
77C2×C4⋊Dic71—21no—
78C2×C4⋊Dic71—22no—
79C2×C4⋊Dic71C2×C414yescomplemented
80C2×C4⋊Dic71C2312yes—
81C2×C4⋊Dic71C2312yes—
82C2×Dic71⋊C4—28no—
83C2×Dic71⋊C4—22no—
84C2×Dic71⋊C4—22no—
85C2×Dic71⋊C4—22no—
86C4⋊C4×D71—28no—
87C4⋊C4×D71—28no—
88C4⋊C4×D71—24no—
89C4⋊C4×D71—24no—
90C4⋊C4×D71—24no—
91C4⋊C4×D71C2×C418yes—
92C4⋊C4×D71C2×C418yescomplemented
93C4⋊C4×D71C2×C418yescomplemented
94C2×C22⋊Dic71—21no—
95C2×(C2×D71)⋊C4—22no—
96C22⋊C4×D71—28no—
97C2×C4×Dic71—22no—
98C2×C4×Dic71—21no—
99C42×D71—28no—
100C23×C4×C71—21no—
101C23×C4×C71C2311yescharacteristic
102C2×M16×C71—22no—
103C2×M16×C71—22no—
104C2×M16×C71C2×C414yescomplemented
105C22×C8×C71C2312yes—
106#117×C71—22no—
107#117×C71C2×C414yescomplemented
108C2×C4⋊C4×C71—21no—
109C2×C4⋊C4×C71—22no—
110C2×C4⋊C4×C71C2×C414yescomplemented
111C2×C4⋊C4×C71C2312yes—
112C2×C4⋊C4×C71C2312yes—
113C2×C22⋊C4×C71—21no—
114C2×C42×C71—21no—
115C23×D71—24no—
116C23×D71—24no—
117C23×D71C22⋊C414yes—
118C23×D71C22⋊C414yes—
119C23×D71C4⋊C414yes—
120C23×D71C2×D411yescharacteristic
121C23×D71C2×D411yescharacteristic
122C22×Dic71—24no—
123C22×Dic71—22no—
124C22×Dic71—22no—
125C22×Dic71—44no—
126C22×Dic71C22⋊C414yes—
127C22×Dic71C22⋊C414yes—
128C22×Dic71C4⋊C414yes—
129C22×Dic71C2×D411yescharacteristic
130C22×Dic71C2×D411yescharacteristic
131C2×C4×D71—28no—
132C2×C4×D71—28no—
133C2×C4×D71—28no—
134C2×C4×D71—48no—
135C2×C4×D71—432no—
136C2×C4×D71—44no—
137C2×C4×D71—48no—
138C2×C4×D71—44no—
139C2×C4×D71C42116yes—
140C2×C4×D71C22⋊C414yes—
141C2×C4×D71C22⋊C414yes—
142C2×C4×D71C22⋊C414yes—
143C2×C4×D71C22⋊C414yes—
144C2×C4×D71C22⋊C4116yes—
145C2×C4×D71C4⋊C414yes—
146C2×C4×D71C4⋊C414yes—
147C2×C4×D71C4⋊C4116yes—
148C2×C4×D71C4⋊C4116yes—
149C2×C4×D71C22×C412yes—
150C2×C4×D71C22×C412yes—
151C2×C4×D71C22×C412yes—
152C2×C4×D71C22×C412yes—
153C2×C4×D71C22×C412yes—
154C2×C4×D71C22×C412yes—
155C2×C4×D71C2×D412yes—
156C2×C4×D71C2×D412yes—
157C2×C4×D71C2×D412yes—
158C2×C4×D71C2×D412yes—
159C2×C4×D71C2×Q812yes—
160C2×C4×D71C2×Q812yes—
161#11765849—28no—
162#11765848—216no—
163C2×C71⋊C8—22no—
164C2×C71⋊C8—22no—
165C2×C71⋊C8C22×C414yescomplemented
166C8×D71—216no—
167C4⋊Dic71—24no—
168C4⋊Dic71—22no—
169C4⋊Dic71—22no—
170C4⋊Dic71C22×C414yes—
171C4⋊Dic71C22×C414yescomplemented
172Dic71⋊C4—28no—
173Dic71⋊C4—28no—
174Dic71⋊C4—28no—
175C22⋊Dic71—24no—
176(C2×D71)⋊C4—28no—
177C4×Dic71—24no—
178C4×Dic71—28no—
179C24×C71C2×D411yescharacteristic
180C22×C4×C71—24no—
181C22×C4×C71—22no—
182C22×C4×C71—22no—
183C22×C4×C71—44no—
184C22×C4×C71C22×C412yes—
185C22×C4×C71C22×C412yes—
186C22×C4×C71C22×C412yes—
187C22×C4×C71C2×D411yescharacteristic
188C22×C4×C71C2×D412yes—
189C22×C4×C71C2×D412yes—
190C22×C4×C71C2×Q812yes—
191C22×C4×C71C2411yescharacteristic
192M16×C71—28no—
193C2×C8×C71—22no—
194C2×C8×C71—22no—
195C2×C8×C71C22×C414yescomplemented
196C4⋊C4×C71—24no—
197C4⋊C4×C71—22no—
198C4⋊C4×C71—22no—
199C4⋊C4×C71C22×C414yes—
200C4⋊C4×C71C22×C414yescomplemented
201C22⋊C4×C71—24no—
202C42×C71—24no—
203C23×C71—22no—
204C23×C71—22no—
205C23×C71C2×C22⋊C412yes—
206C23×C71C2×C22⋊C412yes—
207C23×C71C2×C4⋊C412yes—
208C23×C71C22×D411yescharacteristic
209C22×D71—22no—
210C22×D71—22no—
211C22×D71—216no—
212C22×D71—28no—
213C22×D71—28no—
214C22×D71—216no—
215C22×D71#95116yes—
216C22×D71C2×C22⋊C412yes—
217C22×D71C2×C22⋊C412yes—
218C22×D71C2×C22⋊C412yes—
219C22×D71C2×C22⋊C412yes—
220C22×D71C2×C4⋊C412yes—
221C22×D71C2×C4⋊C412yes—
222C22×D71AGL(1,ℤ/8)14yes—
223C22×D71#13714yes—
224C2×C4×C71—24no—
225C2×C4×C71—24no—
226C2×C4×C71—48no—
227C2×C4×C71—44no—
228C2×C4×C71—42no—
229C2×C4×C71—42no—
230C2×C4×C71C2×C4214yes—
231C2×C4×C71C2×C22⋊C414yes—
232C2×C4×C71C2×C22⋊C412yes—
233C2×C4×C71C2×C22⋊C412yes—
234C2×C4×C71C2×C4⋊C414yes—
235C2×C4×C71C2×C4⋊C414yes—
236C2×C4×C71C2×C4⋊C412yes—
237C2×C4×C71C23×C411yescharacteristic
238C2×C4×C71C23×C411yescharacteristic
239C2×C4×C71C23×C411yescharacteristic
240C2×C4×C71C22×D411yescharacteristic
241C2×C4×C71C22×D411yescharacteristic
242C2×C4×C71C22×Q811yescharacteristic
243C2×Dic71—24no—
244C2×Dic71—24no—
245C2×Dic71—48no—
246C2×Dic71—44no—
247C2×Dic71—42no—
248C2×Dic71—42no—
249C2×Dic71#95116yes—
250C2×Dic71C2×C22⋊C412yes—
251C2×Dic71C2×C22⋊C412yes—
252C2×Dic71C2×C22⋊C412yes—
253C2×Dic71C2×C22⋊C412yes—
254C2×Dic71C2×C4⋊C412yes—
255C2×Dic71C2×C4⋊C412yes—
256C4×D71—416no—
257C4×D71—416no—
258C4×D71—416no—
259C4×D71#95116yes—
260C4×D71#95116yes—
261C4×D71C2×C4214yes—
262C4×D71C2×C4214yes—
263C4×D71C2×C22⋊C414yes—
264C4×D71C2×C22⋊C414yes—
265C4×D71C2×C4⋊C414yes—
266C4×D71C2×C4⋊C414yes—
267C4×D71C2×C4⋊C414yes—
268C4×D71C2×C4⋊C414yes—
269C8×C71—24no—
270C71⋊C8—24no—
271C22×C71—22no—
272C22×C71—22no—
273C22×C71—24no—
274C22×C71—24no—
275C22×C71C2×#9514yes—
276C22×C71C22×C22⋊C411yescharacteristic
277C22×C71C22×C22⋊C411yescharacteristic
278C22×C71C22×C4⋊C411yescharacteristic
279C22×C71C2×AGL(1,ℤ/8)12yes—
280C22×C71C2×#13712yes—
281C2×D71—22no—
282C2×D71—22no—
283C2×D71—24no—
284C2×D71—24no—
285C2×D71—232no—
286C2×D71C2×#9514yes—
287C2×D71C2×#9514yes—
288C2×D71#41718yes—
289C2×D71#41814yes—
290C2×D71#41914yes—
291C2×D71#42818yes—
292C4×C71—44no—
293C4×C71—44no—
294C4×C71C2×#9514yes—
295C4×C71C22×C4211yescharacteristic
296C4×C71C22×C22⋊C411yescharacteristic
297C4×C71C22×C4⋊C411yescharacteristic
298C4×C71C22×C4⋊C411yescharacteristic
299Dic71—44no—
300Dic71—44no—
301Dic71C2×#9514yes—
302Dic71C2×#9514yes—
303C2×#1736—711nomaximal, Sylow
304C2×C71—24no—
305C2×C71C22×#9511yescharacteristic
306C2×C71C2×#41811yescharacteristic
307C2×C71C2×#41911yescharacteristic
308C2×C71C2×#41712yes—
309C2×C71C2×#42812yes—
310D71—24no—
311D71#173618yesdirect product factor
312C23×M16—711no—
313C22×#117—711no—
314C23×C4⋊C4—711no—
315#1736—714no—
316#1736—711no—
317#1736—711no—
318#1736—711no—
319#1736D7111yescharacteristic, direct product factor
320C2×#340—714no—
321C71C2×#173611yescharacteristic, complemented, Sylow
322C24×C4—711no—
323C24×C4—1421no—
324C22×M16—711no—
325C22×M16—718no—
326C22×M16—712no—
327C22×M16—1424no—
328C22×M16—1424no—
329C22×M16C2×D7111yescharacteristic
330C23×C8—712no—
331C2×#117—711no—
332C2×#117—718no—
333C2×#117—712no—
334C2×#117—1421no—
335C2×#117—1421no—
336C2×#117—1424no—
337C2×#117C2×D7111yescharacteristic
338C22×C4⋊C4—711no—
339C22×C4⋊C4—718no—
340C22×C4⋊C4—712no—
341C22×C4⋊C4—712no—
342C22×C4⋊C4—712no—
343C22×C4⋊C4—1421no—
344C22×C4⋊C4—1424no—
345C22×C4⋊C4—1421no—
346C22×C4⋊C4—1421no—
347C22×C4⋊C4C2×D7111yescharacteristic
348C22×C22⋊C4—1421no—
349C22×C42—1421no—
350#340—714no—
351#340—714no—
352#340—714no—
353#340C2×D7114yescomplemented
354C25—711no—
355C23×C4—21no—
356C23×C4—2848no—
357C23×C4—711no—
358C23×C4—714no—
359C23×C4—714no—
360C23×C4—714no—
361C23×C4—711no—
362C23×C4—714no—
363C23×C4—711no—
364C23×C4—714no—
365C23×C4—714no—
366C23×C4—711no—
367C23×C4—711no—
368C23×C4—1422no—
369C23×C4—1422no—
370C23×C4—1422no—
371C23×C4—1428no—
372C23×C4—1421no—
373C23×C4C22×D7111yescharacteristic
374C2×M16—22no—
375C2×M16—22no—
376C2×M16—714no—
377C2×M16—718no—
378C2×M16—1424no—
379C2×M16—1424no—
380C2×M16—14232no—
381C2×M16—1422no—
382C2×M16—1422no—
383C2×M16C4×D7114yescomplemented
384C22×C8—712no—
385C22×C8—718no—
386C22×C8—1424no—
387C22×C8—1424no—
388C22×C8C22×D7112yes—
389#117—22no—
390#117—714no—
391#117—718no—
392#117—1428no—
393#117—1428no—
394#117—1424no—
395#117—1422no—
396#117C4×D7114yescomplemented
397C2×C4⋊C4—22no—
398C2×C4⋊C4—21no—
399C2×C4⋊C4—714no—
400C2×C4⋊C4—712no—
401C2×C4⋊C4—712no—
402C2×C4⋊C4—718no—
403C2×C4⋊C4—718no—
404C2×C4⋊C4—718no—
405C2×C4⋊C4—1424no—
406C2×C4⋊C4—1424no—
407C2×C4⋊C4—1428no—
408C2×C4⋊C4—1428no—
409C2×C4⋊C4—1424no—
410C2×C4⋊C4—1422no—
411C2×C4⋊C4—1422no—
412C2×C4⋊C4—1428no—
413C2×C4⋊C4—1422no—
414C2×C4⋊C4—1422no—
415C2×C4⋊C4—1421no—
416C2×C4⋊C4C4×D7114yescomplemented
417C2×C4⋊C4C22×D7112yes—
418C2×C4⋊C4C22×D7112yes—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—1428no—
421C2×C22⋊C4—1422no—
422C2×C22⋊C4—1421no—
423C2×C42—21no—
424C2×C42—1428no—
425C2×C42—1422no—
426C2×C42—1421no—
427C24—711no—
428C24—711no—
429C24—714no—
430C24—714no—
431C24—714no—
432C24—1424no—
433C24—1424no—
434C24D4×D7111yescharacteristic
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—24no—
438C22×C4—44no—
439C22×C4—2848no—
440C22×C4—2844no—
441C22×C4—2844no—
442C22×C4—28432no—
443C22×C4—2848no—
444C22×C4—2844no—
445C22×C4—711no—
446C22×C4—711no—
447C22×C4—714no—
448C22×C4—714no—
449C22×C4—714no—
450C22×C4—712no—
451C22×C4—712no—
452C22×C4—712no—
453C22×C4—712no—
454C22×C4—712no—
455C22×C4—712no—
456C22×C4—712no—
457C22×C4—712no—
458C22×C4—712no—
459C22×C4—712no—
460C22×C4—712no—
461C22×C4—712no—
462C22×C4—7116no—
463C22×C4—714no—
464C22×C4—714no—
465C22×C4—714no—
466C22×C4—714no—
467C22×C4—7116no—
468C22×C4—7116no—
469C22×C4—7116no—
470C22×C4—714no—
471C22×C4—714no—
472C22×C4—1428no—
473C22×C4—1428no—
474C22×C4—1428no—
475C22×C4—1422no—
476C22×C4—1422no—
477C22×C4—1424no—
478C22×C4C2×C4×D7112yes—
479C22×C4C2×C4×D7112yes—
480C22×C4C2×C4×D7112yes—
481C22×C4D4×D7112yes—
482C22×C4D4×D7112yes—
483C22×C4D4×D7111yescharacteristic
484C22×C4Q8×D7112yes—
485C22×C4C23×D7111yescharacteristic
486M16—28no—
487M16—14216no—
488M16—1428no—
489C2×C8—22no—
490C2×C8—22no—
491C2×C8—714no—
492C2×C8—14216no—
493C2×C8—1422no—
494C2×C8—1422no—
495C2×C8C2×C4×D7114yescomplemented
496C4⋊C4—22no—
497C4⋊C4—22no—
498C4⋊C4—24no—
499C4⋊C4—714no—
500C4⋊C4—714no—
501C4⋊C4—1428no—
502C4⋊C4—1428no—
503C4⋊C4—1428no—
504C4⋊C4—1422no—
505C4⋊C4—1422no—
506C4⋊C4—1424no—
507C4⋊C4C2×C4×D7114yes—
508C4⋊C4C2×C4×D7114yescomplemented
509C22⋊C4—24no—
510C22⋊C4—1428no—
511C22⋊C4—1424no—
512C42—24no—
513C42—1428no—
514C42—1424no—
515C23—22no—
516C23—22no—
517C23—712no—
518C23—712no—
519C23—712no—
520C23—714no—
521C23—714no—
522C23—7116no—
523C23—712no—
524C23—712no—
525C23—712no—
526C23—1428no—
527C23—14216no—
528C23—1428no—
529C23—14216no—
530C23—1422no—
531C23—1422no—
532C23C22⋊C4×D7112yes—
533C23C22⋊C4×D7112yes—
534C23C4⋊C4×D7112yes—
535C23C2×D4×D7111yescharacteristic
536C2×C4—24no—
537C2×C4—24no—
538C2×C4—48no—
539C2×C4—44no—
540C2×C4—42no—
541C2×C4—42no—
542C2×C4—28416no—
543C2×C4—28416no—
544C2×C4—28416no—
545C2×C4—2848no—
546C2×C4—2844no—
547C2×C4—2842no—
548C2×C4—2842no—
549C2×C4—7116no—
550C2×C4—712no—
551C2×C4—712no—
552C2×C4—712no—
553C2×C4—712no—
554C2×C4—712no—
555C2×C4—712no—
556C2×C4—7116no—
557C2×C4—7116no—
558C2×C4—714no—
559C2×C4—714no—
560C2×C4—714no—
561C2×C4—714no—
562C2×C4—714no—
563C2×C4—714no—
564C2×C4—714no—
565C2×C4—714no—
566C2×C4—1424no—
567C2×C4—1424no—
568C2×C4C42×D7114yes—
569C2×C4C22⋊C4×D7112yes—
570C2×C4C22⋊C4×D7112yes—
571C2×C4C22⋊C4×D7114yes—
572C2×C4C4⋊C4×D7112yes—
573C2×C4C4⋊C4×D7114yes—
574C2×C4C4⋊C4×D7114yes—
575C2×C4C22×C4×D7111yescharacteristic
576C2×C4C22×C4×D7111yescharacteristic
577C2×C4C22×C4×D7111yescharacteristic
578C2×C4C2×D4×D7111yescharacteristic
579C2×C4C2×D4×D7111yescharacteristic
580C2×C4C2×Q8×D7111yescharacteristic
581C8—24no—
582C8—1424no—
583C22—24no—
584C22—22no—
585C22—22no—
586C22—24no—
587C22—718no—
588C22—714no—
589C22—714no—
590C22—714no—
591C22—718no—
592C22—714no—
593C22—14232no—
594C22—1424no—
595C22—1422no—
596C22—1422no—
597C22—1424no—
598C22#95×D7114yes—
599C22C2×C22⋊C4×D7111yescharacteristic
600C22C2×C22⋊C4×D7111yescharacteristic
601C22C2×C4⋊C4×D7111yescharacteristic
602C22AGL(1,ℤ/8)×D7112yes—
603C22#137×D7112yes—
604C4—44no—
605C4—44no—
606C4—2844no—
607C4—2844no—
608C4—714no—
609C4—714no—
610C4#95×D7114yes—
611C4C2×C42×D7111yescharacteristic
612C4C2×C22⋊C4×D7111yescharacteristic
613C4C2×C4⋊C4×D7111yescharacteristic
614C4C2×C4⋊C4×D7111yescharacteristic
615C2—24no—
616C2—718no—
617C2—1424no—
618C2C2×#95×D7111yescharacteristic
619C2#418×D7111yescharacteristic
620C2#419×D7111yescharacteristic
621C2#417×D7112yes—
622C2#428×D7112yes—
subgroupG/H
centerC23C2×D4×D71
commutatorC4×C71C22×C42
FrattiniC22×C4C23×D71
FittingC71×#1736C2
socleC23×C71C22×D4
prime radicalC24×D71D4
cosocleC22×C4×C71C24
hypercenter#1736D71
hypocenterC71C2×#1736
LCSG ▷ C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1736

Complements

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

NH ≅ G/Ntype
4. #22588061C2semidirect
5. #22588060C2semidirect
6. #22588059C2semidirect
7. #22588058C2semidirect
8. #340×D71C2semidirect
9. C71×#1736C2semidirect
16. C2×M16×D71C4semidirect
23. #117×D71C4semidirect
29. C2×C4⋊C4×D71C4semidirect
35. #17985762C22semidirect
36. #17985761C22semidirect
37. #17985761C22semidirect
41. #340×C71C22semidirect
62. C2×#11765849C2×C4semidirect
65. C2×#11765848C2×C4semidirect
70. C2×C8×D71C2×C4semidirect
72. #14556087C2×C4semidirect
74. #14556086C2×C4semidirect
79. C2×C4⋊Dic71C2×C4semidirect
92. C4⋊C4×D71C2×C4semidirect
93. C4⋊C4×D71C2×C4semidirect
104. C2×M16×C71C2×C4semidirect
107. #117×C71C2×C4semidirect
110. C2×C4⋊C4×C71C2×C4semidirect
165. C2×C71⋊C8C22×C4semidirect
171. C4⋊Dic71C22×C4semidirect
195. C2×C8×C71C22×C4semidirect
200. C4⋊C4×C71C22×C4semidirect
311. D71#1736direct (N × H)
319. #1736D71direct (N × H)
321. C71C2×#1736semidirect
353. #340C2×D71semidirect
383. C2×M16C4×D71semidirect
396. #117C4×D71semidirect
416. C2×C4⋊C4C4×D71semidirect
495. C2×C8C2×C4×D71semidirect
508. C4⋊C4C2×C4×D71semidirect

Maximal subgroups

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

subgroupindex
C22×M16×D712
C2×#117×D712
C22×C4⋊C4×D712
#225880612
#225880602
#225880592
#225880582
#340×D712
C71×#17362
C2×#173671