Finite Group Databasebeta

← C2×#22598282 #32865251

Subgroups — C2×#22598282 #32865251

Order 18176.

2670 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14556103C211yesmaximal, characteristic
2C2×#117×D71C211yesmaximal, characteristic, complemented
3#22598282C2116yesmaximal, direct product factor
4C2×#17986319C212yesmaximal, complemented
5C2×#17986326C212yesmaximal, complemented
6C2×#17986325C212yesmaximal, complemented
7C2×#17986314C212yesmaximal, complemented
8C2×#17986039C211yesmaximal, characteristic, complemented
9C2×#17986005C211yesmaximal, characteristic, complemented
10C2×#17986003C211yesmaximal, characteristic, complemented
11C2×#17985962C211yesmaximal, characteristic, complemented
12C2×#428×C71C211yesmaximal, characteristic, complemented
13C23×D284—21no—
14C23×D284C2211yescharacteristic
15C23×C4×D71C2211yescharacteristic
16C22×#11765849C2211yescharacteristic
17C2×#14556103—21no—
18C2×#14556103—24no—
19C2×#14556103—21no—
20C2×#14556103C2212yes—
21C2×#14556103C2212yes—
22C2×#14556103C2218yes—
23C2×#14556087C2211yescharacteristic
24C2×#14556086C2211yescharacteristic, complemented
25C2×#14556086C2211yescharacteristic, complemented
26C2×#14556085—21no—
27C2×#14556084—21no—
28#117×D71—24no—
29#117×D71C2218yescomplemented
30C2×C4⋊C4×D71C2211yescharacteristic, complemented
31C2×C4⋊C4×D71C2211yescharacteristic, complemented
32C22×(C2×D71)⋊C4—21no—
33C2×C22⋊C4×D71—21no—
34C2×C42×D71—21no—
35#17986326C22116yescomplemented
36#17986325C22116yescomplemented
37#17986319C22116yescomplemented
38#17986314C22116yescomplemented
39#17986039C2218yescomplemented
40C2×#14556061C2212yescomplemented
41C2×#14556059C2212yescomplemented
42#17986005C2218yescomplemented
43#17986003C2218yescomplemented
44C2×#14556050C2212yescomplemented
45C2×#14556050C2212yescomplemented
46C2×#14556048C2212yescomplemented
47C2×#14556048C2212yescomplemented
48#17985962C2218yescomplemented
49C2×(C2×D71)⋊C8C2212yescomplemented
50C2×(C2×D71)⋊C8C2212yescomplemented
51C22×M16×C71C2211yescharacteristic
52C2×#117×C71C2211yescharacteristic
53C22×C4⋊C4×C71C2211yescharacteristic
54#428×C71C2218yescomplemented
55C2×#107×C71C2212yescomplemented
56C2×#106×C71C2212yescomplemented
57C24×D71—21no—
58C24×D71D411yescharacteristic
59C22×D284—22no—
60C22×D284—28no—
61C22×D284—22no—
62C22×D284—21no—
63C22×D284—22no—
64C22×D284—24no—
65C22×D284—24no—
66C22×D284—48no—
67C22×D284C2312yes—
68C22×D284C2314yes—
69C23×Dic71D411yescharacteristic
70C22×C4×D71—21no—
71C22×C4×D71—21no—
72C22×C4×D71—24no—
73C22×C4×D71—24no—
74C22×C4×D71D411yescharacteristic
75C22×C4×D71D414yes—
76C22×C4×D71D411yescharacteristic
77C22×C4×D71C2311yescharacteristic
78C22×C4×D71C2314yes—
79C22×C4×D71C2311yescharacteristic
80C2×#11765849—24no—
81C2×#11765849C2314yes—
82C22×C71⋊C8C2312yes—
83#14556103—28no—
84#14556103—24no—
85#14556103—28no—
86#14556103—24no—
87#14556103C2318yes—
88#14556103C2318yes—
89#14556087—22no—
90#14556087C2314yes—
91#14556086—22no—
92#14556086—22no—
93#14556086C2314yescomplemented
94#14556086C2314yescomplemented
95#14556085—28no—
96#14556084—28no—
97C2×C4⋊Dic71C2311yescharacteristic
98C2×C4⋊Dic71C2311yescharacteristic
99C2×Dic71⋊C4—21no—
100C2×Dic71⋊C4—21no—
101C4⋊C4×D71—22no—
102C4⋊C4×D71—22no—
103C4⋊C4×D71C2314yescomplemented
104C4⋊C4×D71C2314yescomplemented
105C2×C22⋊Dic71—21no—
106C2×(C2×D71)⋊C4—21no—
107C2×(C2×D71)⋊C4—21no—
108C2×(C2×D71)⋊C4—22no—
109C2×(C2×D71)⋊C4—22no—
110C2×(C2×D71)⋊C4—28no—
111C22⋊C4×D71—28no—
112C2×C4×Dic71—21no—
113C2×C4×Dic71—21no—
114C2×C4×Dic71—21no—
115C42×D71—28no—
116#14556061C2318yescomplemented
117#14556059C2318yescomplemented
118#14556050C2318yescomplemented
119#14556050C2318yescomplemented
120#14556048C2318yescomplemented
121#14556048C2318yescomplemented
122(C2×D71)⋊C8C2318yescomplemented
123(C2×D71)⋊C8C2318yescomplemented
124C23×C4×C71—21no—
125C23×C4×C71C2311yescharacteristic
126C2×M16×C71—24no—
127C2×M16×C71C2314yes—
128C22×C8×C71C2312yes—
129#117×C71—22no—
130#117×C71C2314yes—
131C2×C4⋊C4×C71—21no—
132C2×C4⋊C4×C71—22no—
133C2×C4⋊C4×C71C2311yescharacteristic
134C2×C4⋊C4×C71C2312yes—
135C2×C4⋊C4×C71C2311yescharacteristic
136C2×C4⋊C4×C71C2314yes—
137C2×C22⋊C4×C71—21no—
138C2×C42×C71—21no—
139#107×C71C2318yescomplemented
140#106×C71C2318yescomplemented
141C23×D71—24no—
142C23×D71—24no—
143C23×D71—24no—
144C23×D71—22no—
145C23×D71—42no—
146C23×D71—44no—
147C23×D71—44no—
148C23×D71—44no—
149C23×D71C2×D411yescharacteristic
150C23×D71C2×D414yes—
151C23×D71C2×D411yescharacteristic
152C2×D284—24no—
153C2×D284—28no—
154C2×D284—24no—
155C2×D284—28no—
156C2×D284—28no—
157C2×D284—28no—
158C2×D284—24no—
159C2×D284—22no—
160C2×D284—48no—
161C2×D284—432no—
162C2×D284—48no—
163C2×D284—48no—
164C2×D284—44no—
165C2×D284C2414yes—
166C22×Dic71—24no—
167C22×Dic71—21no—
168C22×Dic71—21no—
169C22×Dic71C2×D411yescharacteristic
170C22×Dic71C2×D411yescharacteristic
171C22×Dic71C2×D414yes—
172C2×C4×D71—24no—
173C2×C4×D71—216no—
174C2×C4×D71—24no—
175C2×C4×D71—22no—
176C2×C4×D71—22no—
177C2×C4×D71—28no—
178C2×C4×D71—22no—
179C2×C4×D71—22no—
180C2×C4×D71—28no—
181C2×C4×D71—24no—
182C2×C4×D71—24no—
183C2×C4×D71—44no—
184C2×C4×D71—44no—
185C2×C4×D71C2×D414yes—
186C2×C4×D71C2×D412yes—
187C2×C4×D71C2×D414yes—
188C2×C4×D71C2×D412yes—
189C2×C4×D71C2412yes—
190C2×C4×D71C2412yes—
191#11765849—28no—
192C2×C71⋊C8—24no—
193C2×C71⋊C8C2414yes—
194C4⋊Dic71—21no—
195C4⋊Dic71—21no—
196C4⋊Dic71C2412yes—
197C4⋊Dic71C2412yes—
198Dic71⋊C4—24no—
199Dic71⋊C4—24no—
200C22⋊Dic71—24no—
201(C2×D71)⋊C4—24no—
202(C2×D71)⋊C4—24no—
203(C2×D71)⋊C4—28no—
204(C2×D71)⋊C4—28no—
205C4×Dic71—24no—
206C4×Dic71—24no—
207C4×Dic71—24no—
208C24×C71C2×D411yescharacteristic
209C22×C4×C71—21no—
210C22×C4×C71—21no—
211C22×C4×C71—24no—
212C22×C4×C71—22no—
213C22×C4×C71—44no—
214C22×C4×C71C2×D411yescharacteristic
215C22×C4×C71C2×D412yes—
216C22×C4×C71#4114yes—
217C22×C4×C71#4114yes—
218C22×C4×C71C2411yescharacteristic
219C22×C4×C71C2412yes—
220M16×C71—28no—
221C2×C8×C71—24no—
222C2×C8×C71C2414yes—
223C4⋊C4×C71—24no—
224C4⋊C4×C71—22no—
225C4⋊C4×C71—21no—
226C4⋊C4×C71—21no—
227C4⋊C4×C71C2412yes—
228C4⋊C4×C71C2414yes—
229C4⋊C4×C71C2412yes—
230C22⋊C4×C71—24no—
231C42×C71—24no—
232C23×C71—22no—
233C23×C71—22no—
234C23×C71#12314yes—
235C23×C71C22×D412yes—
236C23×C71C22×D411yescharacteristic
237C22×D71—22no—
238C22×D71—22no—
239C22×D71—28no—
240C22×D71—22no—
241C22×D71—22no—
242C22×D71—22no—
243C22×D71—28no—
244C22×D71—24no—
245C22×D71—44no—
246C22×D71—416no—
247C22×D71—48no—
248C22×D71—48no—
249C22×D71—48no—
250C22×D71—44no—
251C22×D71—44no—
252C22×D71—44no—
253C22×D71—816no—
254C22×D71AGL(1,ℤ/8)14yes—
255C22×D71C22×D412yes—
256C22×D71C22×D412yes—
257C2×C4×C71—22no—
258C2×C4×C71—22no—
259C2×C4×C71—24no—
260C2×C4×C71—48no—
261C2×C4×C71—44no—
262C2×C4×C71—42no—
263C2×C4×C71—42no—
264C2×C4×C71#12318yes—
265C2×C4×C71#12314yes—
266C2×C4×C71C22×D412yes—
267C2×C4×C71C22×D411yescharacteristic
268C2×C4×C71C2×#4112yes—
269C2×C4×C71C2×#4114yes—
270C2×C4×C71C2×#4112yes—
271C2×C4×C71C2×#4114yes—
272C2×C4×C71C2511yescharacteristic
273C2×Dic71—28no—
274C2×Dic71—22no—
275C2×Dic71—22no—
276C2×Dic71—22no—
277C2×Dic71—22no—
278C2×Dic71—42no—
279C2×Dic71—42no—
280C2×Dic71C22×D412yes—
281C2×Dic71C22×D412yes—
282D284—24no—
283D284—24no—
284D284—416no—
285D284—416no—
286D284—48no—
287D284—44no—
288C4×D71—28no—
289C4×D71—24no—
290C4×D71—28no—
291C4×D71—24no—
292C4×D71—22no—
293C4×D71—22no—
294C4×D71—22no—
295C4×D71—22no—
296C4×D71—48no—
297C4×D71—48no—
298C8×C71—24no—
299C71⋊C8—24no—
300C22×C71—28no—
301C22×C71—22no—
302C22×C71—22no—
303C22×C71C2×#12314yes—
304C22×C71C2×#12312yes—
305C22×C71C2×AGL(1,ℤ/8)12yes—
306C22×C71#57512yes—
307C22×C71C23×D411yescharacteristic
308C2×D71—28no—
309C2×D71—22no—
310C2×D71—22no—
311C2×D71—22no—
312C2×D71—22no—
313C2×D71—22no—
314C2×D71—416no—
315C2×D71—44no—
316C2×D71—44no—
317C2×D71—44no—
318C2×D71—44no—
319C2×D71—816no—
320C2×D71—88no—
321C2×D71C2×AGL(1,ℤ/8)14yes—
322C4×C71—42no—
323C4×C71—44no—
324C4×C71—42no—
325C4×C71C2×#12314yes—
326C4×C71C2×#12312yes—
327C4×C71C22×#4111yescharacteristic
328C4×C71C22×#4111yescharacteristic
329Dic71—22no—
330Dic71—22no—
331Dic71—42no—
332Dic71—42no—
333C2×#3094—711nomaximal, Sylow
334C2×C71—24no—
335C2×C71#309414yescomplemented
336C2×C71C22×#12311yescharacteristic
337C2×C71C22×AGL(1,ℤ/8)11yescharacteristic
338C2×C71C2×#57511yescharacteristic
339D71—24no—
340D71—42no—
341D71—84no—
342C22×#121—711no—
343C22×#117—711no—
344#3094—7116no—
345C2×#481—712no—
346C2×#482—712no—
347C2×#482—712no—
348C2×#480—712no—
349C2×#428—711no—
350C2×#428D7111yescharacteristic, complemented
351C2×#418—711no—
352C2×#418—711no—
353C2×#407—711no—
354C71C2×#309411yescharacteristic, complemented, Sylow
355C23×D4—711no—
356C23×D4—1421no—
357C24×C4—711no—
358C22×M16—711no—
359C22×M16C2×D7111yescharacteristic
360C2×#121—712no—
361C2×#121—712no—
362C2×#121—718no—
363C2×#121—1424no—
364C2×#121—1421no—
365C2×#121—1421no—
366C2×#117—711no—
367C2×#117—718no—
368C2×#117—711no—
369C2×#117—711no—
370C2×#117—1421no—
371C2×#117—1421no—
372C2×#117—1424no—
373C2×#117C2×D7111yescharacteristic
374C22×C4⋊C4—711no—
375C22×C4⋊C4—711no—
376C22×C4⋊C4C2×D7111yescharacteristic
377C22×C22⋊C4—1421no—
378C22×C22⋊C4—1421no—
379C22×C42—1421no—
380#482—7116no—
381#482—7116no—
382#481—7116no—
383#480—7116no—
384#428—718no—
385#428C2×D7118yescomplemented
386C2×#107—712no—
387C2×#107C2×D7112yescomplemented
388C2×#106—712no—
389C2×#106C2×D7112yescomplemented
390#418—718no—
391#418—718no—
392C2×#102—712no—
393C2×#102—712no—
394C2×#102—712no—
395C2×#102—712no—
396#407—718no—
397C2×C22⋊C8—712no—
398C2×C22⋊C8—712no—
399C25—711no—
400C25—1421no—
401C22×D4—2848no—
402C22×D4—712no—
403C22×D4—714no—
404C22×D4—1428no—
405C22×D4—1422no—
406C22×D4—1422no—
407C22×D4—1422no—
408C22×D4—1421no—
409C22×D4—1424no—
410C22×D4—1424no—
411C23×C4—21no—
412C23×C4—711no—
413C23×C4—714no—
414C23×C4—711no—
415C23×C4—711no—
416C23×C4—711no—
417C23×C4—711no—
418C23×C4—714no—
419C23×C4—1421no—
420C23×C4—1421no—
421C23×C4—1424no—
422C23×C4—1424no—
423C23×C4C22×D7111yescharacteristic
424C2×M16—24no—
425C2×M16—714no—
426C2×M16—1424no—
427C2×M16C22×D7114yes—
428C22×C8—712no—
429C22×C8C22×D7112yes—
430#121—718no—
431#121—718no—
432#121—1428no—
433#121—1424no—
434#121—1424no—
435#121—1428no—
436#117—22no—
437#117—714no—
438#117—714no—
439#117—714no—
440#117—1428no—
441#117—1428no—
442#117—1422no—
443#117—1422no—
444#117—1422no—
445#117C22×D7114yes—
446C2×C4⋊C4—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—711no—
449C2×C4⋊C4—711no—
450C2×C4⋊C4—714no—
451C2×C4⋊C4—714no—
452C2×C4⋊C4—1422no—
453C2×C4⋊C4—1422no—
454C2×C4⋊C4—1421no—
455C2×C4⋊C4—1421no—
456C2×C4⋊C4C22×D7111yescharacteristic
457C2×C4⋊C4C22×D7111yescharacteristic
458C2×C4⋊C4C22×D7112yes—
459C2×C4⋊C4C22×D7114yes—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—1428no—
462C2×C22⋊C4—1428no—
463C2×C22⋊C4—1422no—
464C2×C22⋊C4—1422no—
465C2×C22⋊C4—1421no—
466C2×C22⋊C4—1421no—
467C2×C22⋊C4—1421no—
468C2×C42—21no—
469C2×C42—1428no—
470C2×C42—1421no—
471C2×C42—1421no—
472C2×C42—1421no—
473#107—718no—
474#107C22×D7118yescomplemented
475#106—718no—
476#106C22×D7118yescomplemented
477#102—718no—
478#102—718no—
479#102—718no—
480#102—718no—
481C22⋊C8—718no—
482C22⋊C8—718no—
483C24—2842no—
484C24—2844no—
485C24—2844no—
486C24—2844no—
487C24—714no—
488C24—711no—
489C24—711no—
490C24—1424no—
491C24—1424no—
492C24—1422no—
493C24—1424no—
494C24D4×D7111yescharacteristic
495C2×D4—2848no—
496C2×D4—28432no—
497C2×D4—2848no—
498C2×D4—2848no—
499C2×D4—2844no—
500C2×D4—714no—
501C2×D4—1428no—
502C2×D4—1428no—
503C2×D4—1424no—
504C2×D4—1422no—
505C2×D4—1424no—
506C2×D4—1428no—
507C2×D4—1424no—
508C2×D4—1428no—
509C22×C4—24no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—44no—
514C22×C4—2844no—
515C22×C4—2844no—
516C22×C4—714no—
517C22×C4—711no—
518C22×C4—711no—
519C22×C4—714no—
520C22×C4—712no—
521C22×C4—712no—
522C22×C4—714no—
523C22×C4—712no—
524C22×C4—712no—
525C22×C4—1424no—
526C22×C4—1424no—
527C22×C4—1421no—
528C22×C4—1421no—
529C22×C4—1424no—
530C22×C4—1422no—
531C22×C4—1422no—
532C22×C4—1428no—
533C22×C4—1422no—
534C22×C4—1422no—
535C22×C4—1428no—
536C22×C4—14216no—
537C22×C4—1424no—
538C22×C4—1424no—
539C22×C4D4×D7112yes—
540C22×C4D4×D7111yescharacteristic
541C22×C4#1176586514yes—
542C22×C4#1176586614yes—
543C22×C4C23×D7112yes—
544C22×C4C23×D7111yescharacteristic
545M16—28no—
546M16—1428no—
547C2×C8—24no—
548C2×C8—714no—
549C2×C8—1424no—
550C2×C8C23×D7114yes—
551C4⋊C4—24no—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—712no—
556C4⋊C4—712no—
557C4⋊C4—1424no—
558C4⋊C4—1424no—
559C4⋊C4—1421no—
560C4⋊C4—1421no—
561C4⋊C4C23×D7112yes—
562C4⋊C4C23×D7112yes—
563C4⋊C4C23×D7114yes—
564C22⋊C4—24no—
565C22⋊C4—1428no—
566C22⋊C4—1428no—
567C22⋊C4—1424no—
568C22⋊C4—1424no—
569C22⋊C4—1424no—
570C42—24no—
571C42—1424no—
572C42—1424no—
573C42—1424no—
574C23—22no—
575C23—22no—
576C23—28416no—
577C23—2844no—
578C23—2848no—
579C23—2848no—
580C23—2848no—
581C23—2844no—
582C23—2844no—
583C23—2844no—
584C23—56816no—
585C23—712no—
586C23—714no—
587C23—712no—
588C23—1428no—
589C23—1424no—
590C23—1428no—
591C23—1422no—
592C23—1422no—
593C23—1422no—
594C23—1422no—
595C23—1422no—
596C23#1455611314yes—
597C23C2×D4×D7112yes—
598C23C2×D4×D7111yescharacteristic
599D4—28416no—
600D4—28416no—
601D4—2848no—
602D4—2844no—
603D4—1424no—
604D4—1424no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—48no—
609C2×C4—44no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—2848no—
613C2×C4—2848no—
614C2×C4—2842no—
615C2×C4—2842no—
616C2×C4—712no—
617C2×C4—712no—
618C2×C4—1422no—
619C2×C4—1422no—
620C2×C4—1428no—
621C2×C4—1422no—
622C2×C4—1422no—
623C2×C4—1422no—
624C2×C4—1422no—
625C2×C4—1422no—
626C2×C4—1422no—
627C2×C4—1424no—
628C2×C4—1428no—
629C2×C4—1428no—
630C2×C4—1424no—
631C2×C4#1455611318yes—
632C2×C4#1455611314yes—
633C2×C4C2×D4×D7112yes—
634C2×C4C2×D4×D7111yescharacteristic
635C2×C4C2×#1176586512yes—
636C2×C4C2×#1176586514yes—
637C2×C4C2×#1176586612yes—
638C2×C4C2×#1176586614yes—
639C2×C4C24×D7111yescharacteristic
640C8—24no—
641C8—1424no—
642C22—22no—
643C22—22no—
644C22—28no—
645C22—28416no—
646C22—2844no—
647C22—2844no—
648C22—2844no—
649C22—2844no—
650C22—56816no—
651C22—5688no—
652C22—714no—
653C22—1422no—
654C22—1422no—
655C22—1422no—
656C22—1422no—
657C22—1422no—
658C22—1428no—
659C22C2×#1455611314yes—
660C22C2×#1455611312yes—
661C22AGL(1,ℤ/8)×D7112yes—
662C22#1798679812yes—
663C22C22×D4×D7111yescharacteristic
664C4—44no—
665C4—42no—
666C4—42no—
667C4—2842no—
668C4—2842no—
669C4—1422no—
670C4—1422no—
671C4C2×#1455611314yes—
672C4C2×#1455611312yes—
673C4C22×#1176586511yescharacteristic
674C4C22×#1176586611yescharacteristic
675C2—24no—
676C2—2842no—
677C2—5684no—
678C2—1424no—
679C2#2259828214yesdirect product factor
680C2C22×#1455611311yescharacteristic
681C2C2×AGL(1,ℤ/8)×D7111yescharacteristic
682C2C2×#1798679811yescharacteristic
subgroupG/H
centerC23C2×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC2×#428×C71C2
socleC23×C71C22×D4
prime radicalC22×#14556103C2
hypercenterC2×#428D71
hypocenterC71C2×#3094
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C2×#117×D71C2semidirect
3. #22598282C2direct (N × H)
4. C2×#17986319C2semidirect
5. C2×#17986326C2semidirect
6. C2×#17986325C2semidirect
7. C2×#17986314C2semidirect
8. C2×#17986039C2semidirect
9. C2×#17986005C2semidirect
10. C2×#17986003C2semidirect
11. C2×#17985962C2semidirect
12. C2×#428×C71C2semidirect
24. C2×#14556086C22semidirect
25. C2×#14556086C22semidirect
29. #117×D71C22semidirect
30. C2×C4⋊C4×D71C22semidirect
31. C2×C4⋊C4×D71C22semidirect
35. #17986326C22semidirect
36. #17986325C22semidirect
37. #17986319C22semidirect
38. #17986314C22semidirect
39. #17986039C22semidirect
40. C2×#14556061C22semidirect
41. C2×#14556059C22semidirect
42. #17986005C22semidirect
43. #17986003C22semidirect
44. C2×#14556050C22semidirect
45. C2×#14556050C22semidirect
46. C2×#14556048C22semidirect
47. C2×#14556048C22semidirect
48. #17985962C22semidirect
49. C2×(C2×D71)⋊C8C22semidirect
50. C2×(C2×D71)⋊C8C22semidirect
54. #428×C71C22semidirect
55. C2×#107×C71C22semidirect
56. C2×#106×C71C22semidirect
93. #14556086C23semidirect
94. #14556086C23semidirect
103. C4⋊C4×D71C23semidirect
104. C4⋊C4×D71C23semidirect
116. #14556061C23semidirect
117. #14556059C23semidirect
118. #14556050C23semidirect
119. #14556050C23semidirect
120. #14556048C23semidirect
121. #14556048C23semidirect
122. (C2×D71)⋊C8C23semidirect
123. (C2×D71)⋊C8C23semidirect
139. #107×C71C23semidirect
140. #106×C71C23semidirect
335. C2×C71#3094semidirect
350. C2×#428D71semidirect
354. C71C2×#3094semidirect
385. #428C2×D71semidirect
387. C2×#107C2×D71semidirect
389. C2×#106C2×D71semidirect
474. #107C22×D71semidirect
476. #106C22×D71semidirect
679. C2#22598282direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145561032
C2×#117×D712
#225982822
C2×#179863192
C2×#179863262
C2×#179863252
C2×#179863142
C2×#179860392
C2×#179860052
C2×#179860032
C2×#179859622
C2×#428×C712
C2×#309471