Finite Group Databasebeta

← C2×#22599096 #32867976

Subgroups — C2×#22599096 #32867976

Order 18176.

2698 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C22⋊Q8×D71C211yesmaximal, characteristic, complemented
2C22×#14556103C211yesmaximal, characteristic
3#22599096C2116yesmaximal, direct product factor
4C2×#17986319C212yesmaximal, complemented
5C2×#17986329C211yesmaximal, characteristic, complemented
6C2×#17986231C212yesmaximal, complemented
7C2×#17986229C212yesmaximal, complemented
8C2×#17986139C212yesmaximal, complemented
9C2×#17986152C211yesmaximal, characteristic, complemented
10C2×#17986149C211yesmaximal, characteristic, complemented
11C2×C22⋊C8×D71C211yesmaximal, characteristic, complemented
12C2×#483×C71C211yesmaximal, characteristic, complemented
13C22×Q8×D71C2211yescharacteristic, complemented
14C23×D284—21no—
15C23×D284C2211yescharacteristic
16C23×C4×D71C2211yescharacteristic
17C22×#11765854C2212yescomplemented
18C22×#11765852C2212yescomplemented
19C22×C8×D71C2212yescomplemented
20C2×#14556108C2211yescharacteristic, complemented
21C2×#14556107C2211yescharacteristic
22C2×#14556106—21no—
23C2×#14556105—21no—
24C2×#14556104C2211yescharacteristic, complemented
25C22⋊Q8×D71—24no—
26C22⋊Q8×D71C2218yescomplemented
27C2×#14556103—21no—
28C2×#14556103—24no—
29C2×#14556103—21no—
30C2×#14556103C2212yes—
31C2×#14556103C2212yes—
32C2×#14556103C2218yes—
33C2×C4⋊C4×D71—21no—
34C2×C4⋊C4×D71C2211yescharacteristic, complemented
35C22×(C2×D71)⋊C4—21no—
36C2×C22⋊C4×D71—21no—
37#17986329C2218yescomplemented
38#17986319C22116yescomplemented
39#17986231C22116yescomplemented
40#17986229C22116yescomplemented
41#17986152C2218yescomplemented
42#17986149C2218yescomplemented
43#17986139C22116yescomplemented
44C2×#14556059C2212yescomplemented
45C2×#14556051C2212yescomplemented
46C2×#14556050C2212yescomplemented
47C2×#14556048C2212yescomplemented
48C2×C22⋊(C71⋊C8)C2211yescharacteristic
49C2×(C2×D71)⋊C8C2212yescomplemented
50C22⋊C8×D71C2218yescomplemented
51C2×C22⋊Q8×C71C2211yescharacteristic
52C22×C4⋊C4×C71C2211yescharacteristic
53#483×C71C2218yescomplemented
54C2×#106×C71C2212yescomplemented
55C2×#103×C71C2212yescomplemented
56C2×C22⋊C8×C71C2211yescharacteristic
57C24×D71—21no—
58C24×D71D411yescharacteristic
59C22×Dic142—21no—
60C22×Dic142C2311yescharacteristic
61C2×Q8×D71—22no—
62C2×Q8×D71—44no—
63C2×Q8×D71C2314yescomplemented
64C22×D284—22no—
65C22×D284—22no—
66C22×D284—28no—
67C22×D284—21no—
68C22×D284—22no—
69C22×D284—44no—
70C22×D284—48no—
71C22×D284C2312yes—
72C22×D284C2314yes—
73C23×Dic71D411yescharacteristic
74C22×C4×D71—21no—
75C22×C4×D71—21no—
76C22×C4×D71—44no—
77C22×C4×D71D411yescharacteristic
78C22×C4×D71D414yes—
79C22×C4×D71D411yescharacteristic
80C22×C4×D71C2311yescharacteristic
81C22×C4×D71C2311yescharacteristic
82C22×C4×D71C2314yes—
83C2×#11765854—44no—
84C2×#11765854C2318yescomplemented
85C2×#11765852—44no—
86C2×#11765852C2318yescomplemented
87C22×C71⋊C8C2312yes—
88C2×C8×D71—44no—
89C2×C8×D71C2318yescomplemented
90#14556108—22no—
91#14556108C2314yescomplemented
92#14556107—22no—
93#14556107C2314yes—
94#14556106—28no—
95#14556105—28no—
96#14556104—22no—
97#14556104C2314yescomplemented
98#14556103—24no—
99#14556103—24no—
100#14556103—28no—
101#14556103—28no—
102#14556103C2318yes—
103#14556103C2318yes—
104C2×C4⋊Dic71—21no—
105C2×C4⋊Dic71C2311yescharacteristic
106C2×Dic71⋊C4—21no—
107C2×Dic71⋊C4—21no—
108C2×Dic71⋊C4—21no—
109C4⋊C4×D71—28no—
110C4⋊C4×D71—22no—
111C4⋊C4×D71C2314yescomplemented
112C2×C22⋊Dic71—21no—
113C2×(C2×D71)⋊C4—21no—
114C2×(C2×D71)⋊C4—21no—
115C2×(C2×D71)⋊C4—22no—
116C2×(C2×D71)⋊C4—22no—
117C2×(C2×D71)⋊C4—28no—
118C22⋊C4×D71—28no—
119#14556059C2318yescomplemented
120#14556051C2318yescomplemented
121#14556050C2318yescomplemented
122#14556048C2318yescomplemented
123C22⋊(C71⋊C8)C2314yes—
124(C2×D71)⋊C8C2318yescomplemented
125C22×Q8×C71C2311yescharacteristic
126C23×C4×C71—21no—
127C23×C4×C71C2311yescharacteristic
128C22×C8×C71C2312yes—
129C22⋊Q8×C71—22no—
130C22⋊Q8×C71C2314yes—
131C2×C4⋊C4×C71—21no—
132C2×C4⋊C4×C71—22no—
133C2×C4⋊C4×C71—21no—
134C2×C4⋊C4×C71C2312yes—
135C2×C4⋊C4×C71C2311yescharacteristic
136C2×C4⋊C4×C71C2314yes—
137C2×C22⋊C4×C71—21no—
138#106×C71C2318yescomplemented
139#103×C71C2318yescomplemented
140C22⋊C8×C71C2314yes—
141C23×D71—24no—
142C23×D71—22no—
143C23×D71—42no—
144C23×D71—42no—
145C23×D71—44no—
146C23×D71—44no—
147C23×D71—44no—
148C23×D71SD1618yescomplemented
149C23×D71C2×D411yescharacteristic
150C23×D71C2×D411yescharacteristic
151C23×D71C2×D414yes—
152C2×Dic142—24no—
153C2×Dic142—21no—
154C2×Dic142—24no—
155C2×Dic142—44no—
156C2×Dic142C2412yes—
157Q8×D71—48no—
158Q8×D71—48no—
159C2×D284—24no—
160C2×D284—24no—
161C2×D284—28no—
162C2×D284—28no—
163C2×D284—24no—
164C2×D284—22no—
165C2×D284—48no—
166C2×D284—44no—
167C2×D284—48no—
168C2×D284—48no—
169C2×D284—48no—
170C2×D284—432no—
171C2×D284C2414yes—
172C22×Dic71—21no—
173C22×Dic71—21no—
174C22×Dic71—42no—
175C22×Dic71C2×D411yescharacteristic
176C22×Dic71C2×D411yescharacteristic
177C22×Dic71C2×D414yes—
178C2×C4×D71—24no—
179C2×C4×D71—24no—
180C2×C4×D71—24no—
181C2×C4×D71—24no—
182C2×C4×D71—48no—
183C2×C4×D71—48no—
184C2×C4×D71—42no—
185C2×C4×D71—42no—
186C2×C4×D71—44no—
187C2×C4×D71—44no—
188C2×C4×D71C2×D412yes—
189C2×C4×D71C2×D412yes—
190C2×C4×D71C2×D414yes—
191C2×C4×D71C2×D414yes—
192C2×C4×D71C2412yes—
193C2×C4×D71C2412yes—
194#11765854—48no—
195#11765852—48no—
196C2×C71⋊C8—24no—
197C2×C71⋊C8C2414yes—
198C8×D71—48no—
199C4⋊Dic71—21no—
200C4⋊Dic71—24no—
201C4⋊Dic71C2412yes—
202Dic71⋊C4—24no—
203Dic71⋊C4—24no—
204Dic71⋊C4—24no—
205C22⋊Dic71—24no—
206(C2×D71)⋊C4—24no—
207(C2×D71)⋊C4—24no—
208(C2×D71)⋊C4—28no—
209(C2×D71)⋊C4—28no—
210C24×C71C2×D411yescharacteristic
211C2×Q8×C71—21no—
212C2×Q8×C71—24no—
213C2×Q8×C71C2412yes—
214C22×C4×C71—24no—
215C22×C4×C71—21no—
216C22×C4×C71—21no—
217C22×C4×C71—24no—
218C22×C4×C71—22no—
219C22×C4×C71—44no—
220C22×C4×C71C2×D411yescharacteristic
221C22×C4×C71C2×D412yes—
222C22×C4×C71C2412yes—
223C22×C4×C71C2411yescharacteristic
224C2×C8×C71—24no—
225C2×C8×C71C2414yes—
226C4⋊C4×C71—24no—
227C4⋊C4×C71—22no—
228C4⋊C4×C71—24no—
229C4⋊C4×C71—21no—
230C4⋊C4×C71C2414yes—
231C4⋊C4×C71C2412yes—
232C22⋊C4×C71—24no—
233C23×C71—22no—
234C23×C71—22no—
235C23×C71C2×SD1614yes—
236C23×C71C22×D412yes—
237C23×C71C22×D411yescharacteristic
238C22×D71—22no—
239C22×D71—22no—
240C22×D71—22no—
241C22×D71—22no—
242C22×D71—24no—
243C22×D71—44no—
244C22×D71—416no—
245C22×D71—44no—
246C22×D71—48no—
247C22×D71—48no—
248C22×D71—44no—
249C22×D71—48no—
250C22×D71—44no—
251C22×D71—44no—
252C22×D71—816no—
253C22×D71C2×SD1614yes—
254C22×D71C2×SD1614yes—
255C22×D71C2×SD16116yescomplemented
256C22×D71C22×D412yes—
257C22×D71C22×D412yes—
258Q8×C71—24no—
259Q8×C71—42no—
260C2×C4×C71—22no—
261C2×C4×C71—24no—
262C2×C4×C71—24no—
263C2×C4×C71—22no—
264C2×C4×C71—22no—
265C2×C4×C71—24no—
266C2×C4×C71—42no—
267C2×C4×C71—48no—
268C2×C4×C71—44no—
269C2×C4×C71—42no—
270C2×C4×C71C22×D412yes—
271C2×C4×C71C22×D411yescharacteristic
272C2×C4×C71H(5,𝔽2)14yes—
273C2×C4×C71C2511yescharacteristic
274C2×Dic71—22no—
275C2×Dic71—22no—
276C2×Dic71—22no—
277C2×Dic71—22no—
278C2×Dic71—44no—
279C2×Dic71—42no—
280C2×Dic71—42no—
281C2×Dic71C22×D412yes—
282C2×Dic71C22×D412yes—
283D284—24no—
284D284—24no—
285D284—48no—
286D284—416no—
287D284—416no—
288D284—44no—
289C4×D71—24no—
290C4×D71—24no—
291C4×D71—24no—
292C4×D71—24no—
293C4×D71—44no—
294C4×D71—44no—
295C4×D71—48no—
296C4×D71—48no—
297Dic142—24no—
298Dic142—48no—
299Dic142—42no—
300C8×C71—24no—
301C71⋊C8—24no—
302C22×C71—28no—
303C22×C71—22no—
304C22×C71—22no—
305C22×C71#53412yes—
306C22×C71C22×SD1614yes—
307C22×C71C22×SD1612yes—
308C22×C71#57512yes—
309C22×C71C23×D411yescharacteristic
310C2×D71—28no—
311C2×D71—28no—
312C2×D71—22no—
313C2×D71—22no—
314C2×D71—22no—
315C2×D71—22no—
316C2×D71—416no—
317C2×D71—44no—
318C2×D71—44no—
319C2×D71—44no—
320C2×D71—816no—
321C2×D71—88no—
322C2×D71C22×SD1614yes—
323C2×D71C22×SD1614yes—
324C4×C71—22no—
325C4×C71—42no—
326C4×C71—44no—
327C4×C71—42no—
328C4×C71#53412yes—
329C4×C71C2×H(5,𝔽2)12yes—
330Dic71—22no—
331Dic71—22no—
332Dic71—42no—
333Dic71—42no—
334C2×#3187—711nomaximal, Sylow
335C2×C71—24no—
336C2×C71#318714yescomplemented
337C2×C71C2×#53411yescharacteristic
338C2×C71C23×SD1611yescharacteristic
339C2×C71C2×#57511yescharacteristic
340D71—24no—
341D71—24no—
342D71—84no—
343C22×C22⋊Q8—711no—
344C22×#121—711no—
345#3187—7116no—
346C2×#481—712no—
347C2×#483—711no—
348C2×#483D7111yescharacteristic, complemented
349C2×#465—712no—
350C2×#465—712no—
351C2×#448—712no—
352C2×#450—711no—
353C2×#450—711no—
354C22×C22⋊C8—711no—
355C71C2×#318711yescharacteristic, complemented, Sylow
356C23×Q8—711no—
357C23×D4—711no—
358C23×D4—1421no—
359C24×C4—711no—
360C22×SD16—712no—
361C22×SD16—712no—
362C23×C8—712no—
363C2×C22⋊Q8—711no—
364C2×C22⋊Q8—711no—
365C2×C22⋊Q8—718no—
366C2×C22⋊Q8—711no—
367C2×C22⋊Q8—1421no—
368C2×C22⋊Q8—1421no—
369C2×C22⋊Q8—1424no—
370C2×C22⋊Q8C2×D7111yescharacteristic
371C2×#121—712no—
372C2×#121—718no—
373C2×#121—712no—
374C2×#121—1421no—
375C2×#121—1424no—
376C2×#121—1421no—
377C22×C4⋊C4—711no—
378C22×C4⋊C4—1421no—
379C22×C4⋊C4C2×D7111yescharacteristic
380C22×C22⋊C4—1421no—
381C22×C22⋊C4—1421no—
382#483—718no—
383#483C2×D7118yescomplemented
384#481—7116no—
385#465—7116no—
386#465—7116no—
387#450—718no—
388#450—718no—
389#448—7116no—
390C2×#106—712no—
391C2×#106C2×D7112yescomplemented
392C2×#103—712no—
393C2×#103C2×D7112yescomplemented
394C2×#102—712no—
395C2×#102—712no—
396C2×C22⋊C8—711no—
397C2×C22⋊C8—712no—
398C2×C22⋊C8—718no—
399C2×C22⋊C8C2×D7111yescharacteristic
400C25—711no—
401C25—1421no—
402C22×Q8—2844no—
403C22×Q8—714no—
404C22×Q8—711no—
405C22×Q8—1421no—
406C22×Q8—1422no—
407C22×Q8C22×D7111yescharacteristic
408C22×D4—2844no—
409C22×D4—2848no—
410C22×D4—714no—
411C22×D4—712no—
412C22×D4—1428no—
413C22×D4—1422no—
414C22×D4—1422no—
415C22×D4—1422no—
416C22×D4—1421no—
417C23×C4—21no—
418C23×C4—2844no—
419C23×C4—711no—
420C23×C4—711no—
421C23×C4—711no—
422C23×C4—714no—
423C23×C4—714no—
424C23×C4—711no—
425C23×C4—711no—
426C23×C4—1421no—
427C23×C4—1421no—
428C23×C4C22×D7111yescharacteristic
429C2×SD16—2844no—
430C2×SD16—2844no—
431C2×SD16—718no—
432C2×SD16—718no—
433C22×C8—2844no—
434C22×C8—718no—
435C22×C8—712no—
436C22×C8C22×D7112yes—
437C22⋊Q8—22no—
438C22⋊Q8—714no—
439C22⋊Q8—714no—
440C22⋊Q8—714no—
441C22⋊Q8—1428no—
442C22⋊Q8—1428no—
443C22⋊Q8—1422no—
444C22⋊Q8—1422no—
445C22⋊Q8—1422no—
446C22⋊Q8C22×D7114yes—
447#121—718no—
448#121—718no—
449#121—1428no—
450#121—1428no—
451#121—1424no—
452#121—1424no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—22no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—711no—
457C2×C4⋊C4—714no—
458C2×C4⋊C4—1422no—
459C2×C4⋊C4—1428no—
460C2×C4⋊C4—1421no—
461C2×C4⋊C4—1421no—
462C2×C4⋊C4—1421no—
463C2×C4⋊C4—1421no—
464C2×C4⋊C4C22×D7111yescharacteristic
465C2×C4⋊C4C22×D7112yes—
466C2×C4⋊C4C22×D7114yes—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—1428no—
469C2×C22⋊C4—1428no—
470C2×C22⋊C4—1422no—
471C2×C22⋊C4—1422no—
472C2×C22⋊C4—1421no—
473C2×C22⋊C4—1421no—
474C2×C22⋊C4—1421no—
475#106—718no—
476#106C22×D7118yescomplemented
477#103—718no—
478#103C22×D7118yescomplemented
479#102—718no—
480#102—718no—
481C22⋊C8—714no—
482C22⋊C8—718no—
483C22⋊C8C22×D7114yes—
484C24—2842no—
485C24—2842no—
486C24—2844no—
487C24—2844no—
488C24—2844no—
489C24—714no—
490C24—718no—
491C24—711no—
492C24—711no—
493C24—1424no—
494C24—1422no—
495C24D4×D7111yescharacteristic
496C2×Q8—21no—
497C2×Q8—24no—
498C2×Q8—2844no—
499C2×Q8—2848no—
500C2×Q8—2848no—
501C2×Q8—712no—
502C2×Q8—1424no—
503C2×Q8—1424no—
504C2×Q8—1421no—
505C2×Q8C23×D7112yes—
506C2×D4—2844no—
507C2×D4—2848no—
508C2×D4—2848no—
509C2×D4—28432no—
510C2×D4—2848no—
511C2×D4—2848no—
512C2×D4—714no—
513C2×D4—1428no—
514C2×D4—1428no—
515C2×D4—1424no—
516C2×D4—1422no—
517C2×D4—1424no—
518C2×D4—1424no—
519C22×C4—24no—
520C22×C4—24no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—22no—
524C22×C4—44no—
525C22×C4—2842no—
526C22×C4—2842no—
527C22×C4—2848no—
528C22×C4—2848no—
529C22×C4—2844no—
530C22×C4—2844no—
531C22×C4—2842no—
532C22×C4—714no—
533C22×C4—714no—
534C22×C4—714no—
535C22×C4—711no—
536C22×C4—711no—
537C22×C4—712no—
538C22×C4—712no—
539C22×C4—712no—
540C22×C4—712no—
541C22×C4—1424no—
542C22×C4—1424no—
543C22×C4—1421no—
544C22×C4—1421no—
545C22×C4—1424no—
546C22×C4—1424no—
547C22×C4D4×D7112yes—
548C22×C4D4×D7111yescharacteristic
549C22×C4C23×D7112yes—
550C22×C4C23×D7111yescharacteristic
551SD16—2848no—
552SD16—2848no—
553C2×C8—24no—
554C2×C8—2848no—
555C2×C8—714no—
556C2×C8—1424no—
557C2×C8C23×D7114yes—
558C4⋊C4—24no—
559C4⋊C4—22no—
560C4⋊C4—24no—
561C4⋊C4—21no—
562C4⋊C4—712no—
563C4⋊C4—1424no—
564C4⋊C4—1424no—
565C4⋊C4—1424no—
566C4⋊C4—1424no—
567C4⋊C4—1421no—
568C4⋊C4C23×D7112yes—
569C4⋊C4C23×D7114yes—
570C22⋊C4—24no—
571C22⋊C4—1428no—
572C22⋊C4—1428no—
573C22⋊C4—1424no—
574C22⋊C4—1424no—
575C22⋊C4—1424no—
576C23—22no—
577C23—22no—
578C23—2844no—
579C23—2844no—
580C23—28416no—
581C23—2848no—
582C23—2848no—
583C23—2844no—
584C23—2848no—
585C23—2844no—
586C23—2844no—
587C23—56816no—
588C23—7116no—
589C23—712no—
590C23—712no—
591C23—714no—
592C23—714no—
593C23—1424no—
594C23—1422no—
595C23—1422no—
596C23—1422no—
597C23—1422no—
598C23SD16×D7114yes—
599C23C2×D4×D7112yes—
600C23C2×D4×D7111yescharacteristic
601Q8—24no—
602Q8—42no—
603Q8—2848no—
604Q8—2842no—
605Q8—1424no—
606D4—2848no—
607D4—28416no—
608D4—28416no—
609D4—2844no—
610D4—1424no—
611D4—1424no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—42no—
619C2×C4—48no—
620C2×C4—44no—
621C2×C4—42no—
622C2×C4—2844no—
623C2×C4—2844no—
624C2×C4—2848no—
625C2×C4—2848no—
626C2×C4—2842no—
627C2×C4—2842no—
628C2×C4—2844no—
629C2×C4—712no—
630C2×C4—712no—
631C2×C4—1422no—
632C2×C4—1422no—
633C2×C4—1422no—
634C2×C4—1422no—
635C2×C4—1424no—
636C2×C4—1424no—
637C2×C4—1424no—
638C2×C4—1424no—
639C2×C4C2×D4×D7112yes—
640C2×C4C2×D4×D7111yescharacteristic
641C2×C4#1455617414yes—
642C2×C4C24×D7111yescharacteristic
643C8—24no—
644C8—1424no—
645C22—22no—
646C22—22no—
647C22—28no—
648C22—28416no—
649C22—2844no—
650C22—2844no—
651C22—2844no—
652C22—56816no—
653C22—5688no—
654C22—714no—
655C22—714no—
656C22—1422no—
657C22—1422no—
658C22—1422no—
659C22—1422no—
660C22—1428no—
661C22—1428no—
662C22#1798656012yes—
663C22C2×SD16×D7114yes—
664C22C2×SD16×D7112yes—
665C22#1798679812yes—
666C22C22×D4×D7111yescharacteristic
667C4—22no—
668C4—44no—
669C4—42no—
670C4—42no—
671C4—2842no—
672C4—2842no—
673C4—1422no—
674C4—1422no—
675C4#1798656012yes—
676C4C2×#1455617412yes—
677C2—24no—
678C2—5684no—
679C2—1424no—
680C2—1424no—
681C2#2259909614yesdirect product factor
682C2C2×#1798656011yescharacteristic
683C2C22×SD16×D7111yescharacteristic
684C2C2×#1798679811yescharacteristic
subgroupG/H
centerC23C2×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC2×#483×C71C2
socleC23×C71C22×D4
prime radicalC22×#14556103C2
hypercenterC2×#483D71
hypocenterC71C2×#3187
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#483

Complements

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

NH ≅ G/Ntype
1. C2×C22⋊Q8×D71C2semidirect
3. #22599096C2direct (N × H)
4. C2×#17986319C2semidirect
5. C2×#17986329C2semidirect
6. C2×#17986231C2semidirect
7. C2×#17986229C2semidirect
8. C2×#17986139C2semidirect
9. C2×#17986152C2semidirect
10. C2×#17986149C2semidirect
11. C2×C22⋊C8×D71C2semidirect
12. C2×#483×C71C2semidirect
13. C22×Q8×D71C22semidirect
17. C22×#11765854C22semidirect
18. C22×#11765852C22semidirect
19. C22×C8×D71C22semidirect
20. C2×#14556108C22semidirect
24. C2×#14556104C22semidirect
26. C22⋊Q8×D71C22semidirect
34. C2×C4⋊C4×D71C22semidirect
37. #17986329C22semidirect
38. #17986319C22semidirect
39. #17986231C22semidirect
40. #17986229C22semidirect
41. #17986152C22semidirect
42. #17986149C22semidirect
43. #17986139C22semidirect
44. C2×#14556059C22semidirect
45. C2×#14556051C22semidirect
46. C2×#14556050C22semidirect
47. C2×#14556048C22semidirect
49. C2×(C2×D71)⋊C8C22semidirect
50. C22⋊C8×D71C22semidirect
53. #483×C71C22semidirect
54. C2×#106×C71C22semidirect
55. C2×#103×C71C22semidirect
63. C2×Q8×D71C23semidirect
84. C2×#11765854C23semidirect
86. C2×#11765852C23semidirect
89. C2×C8×D71C23semidirect
91. #14556108C23semidirect
97. #14556104C23semidirect
111. C4⋊C4×D71C23semidirect
119. #14556059C23semidirect
120. #14556051C23semidirect
121. #14556050C23semidirect
122. #14556048C23semidirect
124. (C2×D71)⋊C8C23semidirect
138. #106×C71C23semidirect
139. #103×C71C23semidirect
148. C23×D71SD16semidirect
255. C22×D71C2×SD16semidirect
336. C2×C71#3187semidirect
348. C2×#483D71semidirect
355. C71C2×#3187semidirect
383. #483C2×D71semidirect
391. C2×#106C2×D71semidirect
393. C2×#103C2×D71semidirect
476. #106C22×D71semidirect
478. #103C22×D71semidirect
681. C2#22599096direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C22⋊Q8×D712
C22×#145561032
#225990962
C2×#179863192
C2×#179863292
C2×#179862312
C2×#179862292
C2×#179861392
C2×#179861522
C2×#179861492
C2×C22⋊C8×D712
C2×#483×C712
C2×#318771