Finite Group Databasebeta

← C2×#20254666 #27088494

Subgroups — C2×#20254666 #27088494

Order 12032.

1742 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689750C211yesmaximal, characteristic, complemented
2C2×#15689742C211yesmaximal, characteristic
3#20254666C2116yesmaximal, direct product factor
4C2×#15689532C211yesmaximal, characteristic, complemented
5C2×#15689526C211yesmaximal, characteristic, complemented
6C2×#15689477C211yesmaximal, characteristic, complemented
7C2×#15689457C211yesmaximal, characteristic, complemented
8C2×#15689462C211yesmaximal, characteristic, complemented
9C2×#15689446C211yesmaximal, characteristic
10C2×#15689435C211yesmaximal, characteristic
11C2×#15689428C211yesmaximal, characteristic, complemented
12C2×#15689416C211yesmaximal, characteristic, complemented
13C2×#15689425C211yesmaximal, characteristic, complemented
14C2×#15689401C211yesmaximal, characteristic, complemented
15C2×#15689185C211yesmaximal, characteristic, complemented
16C2×C47×#489C211yesmaximal, characteristic, complemented
17#15689750—24no—
18#15689750C2218yescomplemented
19#15689742—24no—
20#15689742C2218yes—
21C2×#13094024C2211yescharacteristic
22C2×#13094023C2211yescharacteristic
23C2×#13094022—21no—
24C2×#13094017—21no—
25C2×#13094016C2211yescharacteristic
26C2×#13094015C2211yescharacteristic
27C2×#13094014—21no—
28C2×#13094010—21no—
29C2×#13094008—21no—
30C2×#13094002—21no—
31C2×#13094001—21no—
32C2×#13094000—21no—
33C2×#13094000C2211yescharacteristic
34C2×#13093995C2211yescharacteristic
35C2×Q8×Dic47C2211yescharacteristic
36C2×D4×Dic47C2211yescharacteristic
37C2×#13093982C2211yescharacteristic
38C2×#13093981C2211yescharacteristic
39C2×C4⋊C4×D47C2211yescharacteristic
40#15689532C2218yescomplemented
41#15689526C2218yescomplemented
42#15689477C2218yescomplemented
43#15689462C2218yescomplemented
44#15689457C2218yescomplemented
45#15689446C2218yes—
46#15689435C2218yes—
47#15689428C2218yescomplemented
48#15689425C2218yescomplemented
49#15689416C2218yescomplemented
50#15689401C2218yescomplemented
51#15689185C2218yescomplemented
52C2×#13093958C2211yescharacteristic
53C2×#13093958C2211yescharacteristic
54C2×#13093957C2211yescharacteristic
55C2×#13093957C2211yescharacteristic
56C2×#13093957C2211yescharacteristic
57C2×#13093957C2211yescharacteristic
58C2×#13093956C2211yescharacteristic
59C2×#13093956C2211yescharacteristic
60C2×Dic47⋊C8C2211yescharacteristic
61C2×Dic47⋊C8C2211yescharacteristic
62C2×#13093948C2211yescharacteristic
63C2×#13093948C2211yescharacteristic
64C2×#13093945C2211yescharacteristic
65C2×#13093945C2211yescharacteristic
66C2×(C2×D47)⋊C8C2211yescharacteristic
67C2×(C2×D47)⋊C8C2211yescharacteristic
68C2×C4×C47⋊C8C2211yescharacteristic
69C2×C4⋊Q8×C47C2211yescharacteristic
70C2×#124×C47C2211yescharacteristic
71C47×#489C2218yescomplemented
72C2×#103×C47C2211yescharacteristic
73C2×#103×C47C2211yescharacteristic
74C2×#102×C47C2211yescharacteristic
75C2×#102×C47C2211yescharacteristic
76C2×#97×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94—21no—
79C22×C22⋊D47—21no—
80C23×Dic47—21no—
81C22×C4×D47—21no—
82C22×C4×D47C2311yescharacteristic
83C22×C47⋊C8C2311yescharacteristic
84C22×C47⋊C8C2311yescharacteristic
85#13094024—22no—
86#13094024C2314yes—
87#13094023—22no—
88#13094023C2314yes—
89#13094022—28no—
90#13094017—28no—
91#13094016—22no—
92#13094016C2314yes—
93#13094015—22no—
94#13094015C2314yes—
95#13094014—28no—
96#13094010—28no—
97#13094008—28no—
98#13094002—28no—
99#13094001—28no—
100#13094000—22no—
101#13094000—28no—
102#13094000C2314yes—
103#13093995—22no—
104#13093995C2314yes—
105Q8×Dic47—22no—
106Q8×Dic47C2314yes—
107D4×Dic47—22no—
108D4×Dic47C2314yes—
109#13093982—22no—
110#13093982C2314yes—
111#13093981D414yes—
112#13093981C2314yes—
113C2×C4⋊Dic47—21no—
114C2×C4⋊Dic47—21no—
115C2×C4⋊Dic47—21no—
116C2×C4⋊Dic47C2311yescharacteristic
117C2×C4⋊Dic47C2311yescharacteristic
118C2×C4⋊Dic47C2311yescharacteristic
119C2×C4⋊Dic47C2311yescharacteristic
120C2×Dic47⋊C4—21no—
121C2×Dic47⋊C4—21no—
122C2×Dic47⋊C4—21no—
123C2×Dic47⋊C4—21no—
124C2×Dic47⋊C4—21no—
125C2×Dic47⋊C4—21no—
126C2×Dic47⋊C4D411yescharacteristic
127C2×Dic47⋊C4D411yescharacteristic
128C4⋊C4×D47—22no—
129C4⋊C4×D47C2314yes—
130C2×C22⋊Dic47—21no—
131C2×C22⋊Dic47—21no—
132C2×(C2×D47)⋊C4—21no—
133C2×(C2×D47)⋊C4—21no—
134C2×(C2×D47)⋊C4D411yescharacteristic
135C2×(C2×D47)⋊C4D411yescharacteristic
136C2×C4×Dic47—21no—
137C2×C4×Dic47—21no—
138C2×C4×Dic47C2311yescharacteristic
139#13093958C2314yes—
140#13093958C2314yes—
141#13093957C2314yes—
142#13093957C2314yes—
143#13093957C2314yes—
144#13093957C2314yes—
145#13093956C2314yes—
146#13093956C2314yes—
147Dic47⋊C8C2314yes—
148Dic47⋊C8C2314yes—
149#13093948C2314yes—
150#13093948C2314yes—
151#13093945C2314yes—
152#13093945C2314yes—
153(C2×D47)⋊C8C2314yes—
154(C2×D47)⋊C8C2314yes—
155C4×C47⋊C8C2314yes—
156C22×Q8×C47—21no—
157C22×Q8×C47C2311yescharacteristic
158C22×D4×C47C2311yescharacteristic
159C22×C8×C47C2311yescharacteristic
160C22×C8×C47C2311yescharacteristic
161C4⋊Q8×C47—22no—
162C4⋊Q8×C47C2314yes—
163#124×C47—22no—
164#124×C47C2314yes—
165C2×C4⋊C4×C47—21no—
166C2×C4⋊C4×C47C2311yescharacteristic
167C2×C4⋊C4×C47C2311yescharacteristic
168C2×C22⋊C4×C47—21no—
169C2×C22⋊C4×C47—21no—
170C2×C42×C47C2311yescharacteristic
171#103×C47C2314yes—
172#103×C47C2314yes—
173#102×C47C2314yes—
174#102×C47C2314yes—
175#97×C47C2314yes—
176C24×C47—21no—
177C23×D47C2×D411yescharacteristic
178C2×Q8×C47—21no—
179C2×Q8×C47—24no—
180C2×Q8×C47—22no—
181C2×Q8×C47—22no—
182C2×Q8×C47—82no—
183C2×Q8×C47C2412yes—
184C2×D4×C47—21no—
185C2×D4×C47—22no—
186C2×D4×C47—22no—
187C2×D4×C47C2412yes—
188C22×C4×C47—21no—
189C22×C4×C47—21no—
190C22×C4×C47—21no—
191C22×C4×C47C2×D411yescharacteristic
192C22×C4×C47C2×D411yescharacteristic
193C22×C4×C47C2411yescharacteristic
194C2×C22⋊D47—24no—
195C2×C22⋊D47—82no—
196C22×Dic47—21no—
197C22×Dic47—21no—
198C22×Dic47—21no—
199C22×Dic47—21no—
200C22×Dic47—24no—
201C22×Dic47—82no—
202C22×Dic47C2×D411yescharacteristic
203C22×Dic47C2×D411yescharacteristic
204C22×Dic47C2×D411yescharacteristic
205C2×C4×D47—22no—
206C2×C4×D47—22no—
207C2×C4×D47—24no—
208C2×C4×D47—82no—
209C2×C4×D47C2×D412yes—
210C2×C4×D47C2412yes—
211C2×Dic94—24no—
212C2×Dic94—24no—
213C2×Dic94—82no—
214C2×Dic94—82no—
215C2×C8×C47—22no—
216C2×C8×C47—22no—
217C2×C8×C47C2412yes—
218C2×C8×C47C2412yes—
219C4⋊C4×C47—24no—
220C4⋊C4×C47—21no—
221C4⋊C4×C47—21no—
222C4⋊C4×C47C2412yes—
223C4⋊C4×C47C2412yes—
224C22⋊C4×C47—24no—
225C22⋊C4×C47—24no—
226C42×C47C2×D412yes—
227C42×C47C2412yes—
228C22⋊Dic47—24no—
229C22⋊Dic47—24no—
230(C2×D47)⋊C4—24no—
231(C2×D47)⋊C4—24no—
232(C2×D47)⋊C4C2×D414yes—
233(C2×D47)⋊C4C2×D414yes—
234C4⋊Dic47—21no—
235C4⋊Dic47—24no—
236C4⋊Dic47—21no—
237C4⋊Dic47—21no—
238C4⋊Dic47—21no—
239C4⋊Dic47—24no—
240C4⋊Dic47—24no—
241C4⋊Dic47C2412yes—
242C4⋊Dic47C2412yes—
243C4⋊Dic47C2412yes—
244C4⋊Dic47C2412yes—
245Dic47⋊C4—24no—
246Dic47⋊C4—24no—
247Dic47⋊C4—24no—
248Dic47⋊C4—24no—
249Dic47⋊C4—24no—
250Dic47⋊C4—24no—
251Dic47⋊C4C2×D414yes—
252Dic47⋊C4C2×D414yes—
253C4×Dic47—24no—
254C4×Dic47—24no—
255C4×Dic47C2×D412yes—
256C4×Dic47C2412yes—
257C2×C47⋊C8—22no—
258C2×C47⋊C8—22no—
259C2×C47⋊C8C2412yes—
260C2×C47⋊C8C2412yes—
261C23×C47—22no—
262C23×C47—42no—
263C23×C47—42no—
264C23×C47—42no—
265C23×C47C22×D411yescharacteristic
266C22×D47—22no—
267C22×D47—22no—
268C22×D47—22no—
269C22×D47C22×D412yes—
270Q8×C47—22no—
271Q8×C47—22no—
272Q8×C47—42no—
273Q8×C47—84no—
274D4×C47—22no—
275D4×C47—22no—
276D4×C47—42no—
277C2×C4×C47—22no—
278C2×C4×C47—22no—
279C2×C4×C47—22no—
280C2×C4×C47—22no—
281C2×C4×C47—22no—
282C2×C4×C47—42no—
283C2×C4×C47—42no—
284C2×C4×C47—42no—
285C2×C4×C47C22×D412yes—
286C2×C4×C47C22×D412yes—
287C2×C4×C47C22×D411yescharacteristic
288C2×C4×C472−1+412yes—
289C2×C4×C472−1+412yes—
290C2×C4×C47C2511yescharacteristic
291C22⋊D47—84no—
292C2×Dic47—22no—
293C2×Dic47—22no—
294C2×Dic47—22no—
295C2×Dic47—22no—
296C2×Dic47—22no—
297C2×Dic47—22no—
298C2×Dic47—22no—
299C2×Dic47—42no—
300C2×Dic47—42no—
301C2×Dic47—42no—
302C2×Dic47—42no—
303C2×Dic47—84no—
304C2×Dic47C22×D412yes—
305C2×Dic47C22×D412yes—
306C2×Dic47C22×D412yes—
307C4×D47—24no—
308C4×D47—22no—
309C4×D47—22no—
310C4×D47—84no—
311Dic94—84no—
312Dic94—84no—
313C8×C47—22no—
314C8×C47—22no—
315C47⋊C8—22no—
316C47⋊C8—22no—
317C2×#3243—471nomaximal, Sylow
318C22×C47—42no—
319C22×C47—42no—
320C22×C47—42no—
321C22×C47—84no—
322C22×C47#53612yes—
323C22×C47#57612yes—
324C22×C47#57812yes—
325C22×C47C23×D411yescharacteristic
326C2×D47—22no—
327C2×D47—22no—
328C2×D47—22no—
329C2×D47—44no—
330C4×C47—22no—
331C4×C47—22no—
332C4×C47—42no—
333C4×C47—42no—
334C4×C47—42no—
335C4×C47#53612yes—
336C4×C47C2×2−1+411yescharacteristic
337C4×C47C2×2−1+411yescharacteristic
338Dic47—22no—
339Dic47—22no—
340Dic47—22no—
341Dic47—42no—
342Dic47—42no—
343Dic47—42no—
344Dic47—42no—
345C2×#544—471no—
346C2×#542—471no—
347#3243—4716no—
348C2×#501—471no—
349C2×#500—471no—
350C2×#489D4711yescharacteristic, complemented
351C2×#488—471no—
352C2×#484—471no—
353C2×#485—471no—
354C2×#482—471no—
355C2×#480—471no—
356C2×#479—471no—
357C2×#477—471no—
358C2×#478—471no—
359C2×#474—471no—
360C2×#433—471no—
361C2×C47—82no—
362C2×C47#324314yescomplemented
363C2×C47C2×#53611yescharacteristic
364C2×C47C2×#57611yescharacteristic
365C2×C47C2×#57811yescharacteristic
366D47—42no—
367#544—478no—
368#544—944no—
369#542—478no—
370#542—944no—
371C2×C4⋊Q8—471no—
372C2×C4⋊Q8—471no—
373C2×C4⋊Q8—941no—
374C2×C4⋊Q8C2×D4711yescharacteristic
375C2×#126—941no—
376C2×#125—471no—
377C2×#125—471no—
378C2×#125—941no—
379C2×#124—941no—
380C2×#124C2×D4711yescharacteristic
381C2×#123—941no—
382C2×C22⋊Q8—471no—
383C2×C22⋊Q8—941no—
384C2×C22⋊Q8—941no—
385C2×C22⋊Q8—941no—
386C2×#121—471no—
387C2×C4×Q8—471no—
388C2×C4×D4—471no—
389C2×#117—471no—
390C2×#117—471no—
391C22×C4⋊C4—471no—
392#501—478no—
393#500—478no—
394#489C2×D4718yescomplemented
395#488—478no—
396#485—478no—
397#484—478no—
398#482—478no—
399#480—478no—
400#479—478no—
401#478—478no—
402#477—478no—
403#474—478no—
404#433—478no—
405C2×#107—471no—
406C2×#107—471no—
407C2×#107—471no—
408C2×#107—471no—
409C2×#107—471no—
410C2×#107—471no—
411C2×#106—471no—
412C2×#106—471no—
413C2×C4⋊C8—471no—
414C2×C4⋊C8—471no—
415C2×#103—471no—
416C2×#103—471no—
417C2×#103C2×D4711yescharacteristic
418C2×#103C2×D4711yescharacteristic
419C2×#102—471no—
420C2×#102—471no—
421C2×#102C2×D4711yescharacteristic
422C2×#102C2×D4711yescharacteristic
423C2×C22⋊C8—471no—
424C2×C22⋊C8—471no—
425C2×#97C2×D4711yescharacteristic
426C2×C4×C8—471no—
427C47C2×#324311yescharacteristic, complemented, Sylow
428C22×Q8—21no—
429C22×Q8—941no—
430C22×Q8—941no—
431C22×Q8C22×D4711yescharacteristic
432C22×D4—941no—
433C22×D4C22×D4711yescharacteristic
434C23×C4—471no—
435C23×C4—941no—
436C23×C4—941no—
437C22×C8—471no—
438C22×C8—471no—
439C22×C8C22×D4711yescharacteristic
440C22×C8C22×D4711yescharacteristic
441C4⋊Q8—22no—
442C4⋊Q8—474no—
443C4⋊Q8—474no—
444C4⋊Q8—942no—
445C4⋊Q8—948no—
446C4⋊Q8—942no—
447C4⋊Q8C22×D4714yes—
448#126—948no—
449#125—474no—
450#125—474no—
451#125—942no—
452#125—948no—
453#125—942no—
454#124—22no—
455#124—948no—
456#124C22×D4714yes—
457#123—948no—
458C22⋊Q8—474no—
459C22⋊Q8—948no—
460C22⋊Q8—948no—
461C22⋊Q8—948no—
462C22⋊Q8—942no—
463#121—474no—
464#121—942no—
465C4×Q8—474no—
466C4×Q8—942no—
467C4×D4—474no—
468C4×D4—942no—
469#117—474no—
470#117—474no—
471#117—474no—
472#117—942no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—471no—
475C2×C4⋊C4—471no—
476C2×C4⋊C4—471no—
477C2×C4⋊C4—471no—
478C2×C4⋊C4—471no—
479C2×C4⋊C4—471no—
480C2×C4⋊C4—474no—
481C2×C4⋊C4—942no—
482C2×C4⋊C4—941no—
483C2×C4⋊C4—941no—
484C2×C4⋊C4—941no—
485C2×C4⋊C4—941no—
486C2×C4⋊C4—941no—
487C2×C4⋊C4—941no—
488C2×C4⋊C4—941no—
489C2×C4⋊C4—941no—
490C2×C4⋊C4—941no—
491C2×C4⋊C4C22×D4711yescharacteristic
492C2×C4⋊C4C22×D4711yescharacteristic
493C2×C22⋊C4—21no—
494C2×C22⋊C4—21no—
495C2×C22⋊C4—471no—
496C2×C22⋊C4—471no—
497C2×C22⋊C4—941no—
498C2×C22⋊C4—941no—
499C2×C22⋊C4—941no—
500C2×C22⋊C4—941no—
501C2×C42—471no—
502C2×C42—941no—
503C2×C42—941no—
504C2×C42C22×D4711yescharacteristic
505#107—474no—
506#107—474no—
507#107—474no—
508#107—474no—
509#107—474no—
510#107—474no—
511#106—474no—
512#106—474no—
513C4⋊C8—474no—
514C4⋊C8—474no—
515#103—474no—
516#103—474no—
517#103C22×D4714yes—
518#103C22×D4714yes—
519#102—474no—
520#102—474no—
521#102C22×D4714yes—
522#102C22×D4714yes—
523C22⋊C8—474no—
524C22⋊C8—474no—
525#97C22×D4714yes—
526C4×C8—474no—
527C24—21no—
528C24—471no—
529C2×Q8—21no—
530C2×Q8—24no—
531C2×Q8—22no—
532C2×Q8—22no—
533C2×Q8—82no—
534C2×Q8—944no—
535C2×Q8—944no—
536C2×Q8—3762no—
537C2×Q8—3762no—
538C2×Q8C23×D4712yes—
539C2×D4—21no—
540C2×D4—22no—
541C2×D4—22no—
542C2×D4—944no—
543C2×D4—3762no—
544C2×D4C23×D4712yes—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—471no—
549C22×C4—471no—
550C22×C4—471no—
551C22×C4—472no—
552C22×C4—472no—
553C22×C4—944no—
554C22×C4—944no—
555C22×C4—942no—
556C22×C4—942no—
557C22×C4—941no—
558C22×C4—941no—
559C22×C4—941no—
560C22×C4—941no—
561C22×C4—3762no—
562C22×C4—3762no—
563C22×C4D4×D4711yescharacteristic
564C22×C4D4×D4711yescharacteristic
565C22×C4C23×D4711yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—472no—
569C2×C8—472no—
570C2×C8—942no—
571C2×C8—942no—
572C2×C8C23×D4712yes—
573C2×C8C23×D4712yes—
574C4⋊C4—24no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—474no—
578C4⋊C4—474no—
579C4⋊C4—472no—
580C4⋊C4—472no—
581C4⋊C4—472no—
582C4⋊C4—472no—
583C4⋊C4—944no—
584C4⋊C4—944no—
585C4⋊C4—944no—
586C4⋊C4—944no—
587C4⋊C4—944no—
588C4⋊C4—944no—
589C4⋊C4—944no—
590C4⋊C4—944no—
591C4⋊C4—941no—
592C4⋊C4—941no—
593C4⋊C4—941no—
594C4⋊C4—941no—
595C4⋊C4—944no—
596C4⋊C4C23×D4712yes—
597C4⋊C4C23×D4712yes—
598C22⋊C4—24no—
599C22⋊C4—24no—
600C22⋊C4—474no—
601C22⋊C4—474no—
602C22⋊C4—944no—
603C22⋊C4—944no—
604C22⋊C4—944no—
605C22⋊C4—944no—
606C42—472no—
607C42—472no—
608C42—944no—
609C42—944no—
610C42D4×D4712yes—
611C42C23×D4712yes—
612C23—22no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—472no—
617C23—942no—
618C23—942no—
619C23—942no—
620C23C2×D4×D4711yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—42no—
624Q8—84no—
625Q8—3764no—
626Q8—3764no—
627D4—22no—
628D4—22no—
629D4—42no—
630D4—3764no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—472no—
640C2×C4—472no—
641C2×C4—472no—
642C2×C4—942no—
643C2×C4—942no—
644C2×C4—942no—
645C2×C4—944no—
646C2×C4—942no—
647C2×C4—942no—
648C2×C4—942no—
649C2×C4—942no—
650C2×C4—942no—
651C2×C4—942no—
652C2×C4—3764no—
653C2×C4—3764no—
654C2×C4—1882no—
655C2×C4—1882no—
656C2×C4—1882no—
657C2×C4—1882no—
658C2×C4C2×D4×D4712yes—
659C2×C4C2×D4×D4712yes—
660C2×C4C2×D4×D4711yescharacteristic
661C2×C4#1309407112yes—
662C2×C4#1309407112yes—
663C2×C4C24×D4711yescharacteristic
664C8—22no—
665C8—22no—
666C8—942no—
667C8—942no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—84no—
672C22—942no—
673C22—942no—
674C22—942no—
675C22—1884no—
676C22#1568969312yes—
677C22#1568992712yes—
678C22#1568993912yes—
679C22C22×D4×D4711yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—942no—
686C4—942no—
687C4—942no—
688C4—1882no—
689C4—1882no—
690C4—1882no—
691C4—1882no—
692C4#1568969312yes—
693C4C2×#1309407111yescharacteristic
694C4C2×#1309407111yescharacteristic
695C2—82no—
696C2—1882no—
697C2#2025466614yesdirect product factor
698C2C2×#1568969311yescharacteristic
699C2C2×#1568992711yescharacteristic
700C2C2×#1568993911yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#489C2
socleC23×C47C22×D4
prime radicalC2×#13093995C22
hypercenterC2×#489D47
hypocenterC47C2×#3243
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#489

Complements

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

NH ≅ G/Ntype
1. C2×#15689750C2semidirect
3. #20254666C2direct (N × H)
4. C2×#15689532C2semidirect
5. C2×#15689526C2semidirect
6. C2×#15689477C2semidirect
7. C2×#15689457C2semidirect
8. C2×#15689462C2semidirect
11. C2×#15689428C2semidirect
12. C2×#15689416C2semidirect
13. C2×#15689425C2semidirect
14. C2×#15689401C2semidirect
15. C2×#15689185C2semidirect
16. C2×C47×#489C2semidirect
18. #15689750C22semidirect
40. #15689532C22semidirect
41. #15689526C22semidirect
42. #15689477C22semidirect
43. #15689462C22semidirect
44. #15689457C22semidirect
47. #15689428C22semidirect
48. #15689425C22semidirect
49. #15689416C22semidirect
50. #15689401C22semidirect
51. #15689185C22semidirect
71. C47×#489C22semidirect
350. C2×#489D47semidirect
362. C2×C47#3243semidirect
394. #489C2×D47semidirect
427. C47C2×#3243semidirect
697. C2#20254666direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156897502
C2×#156897422
#202546662
C2×#156895322
C2×#156895262
C2×#156894772
C2×#156894572
C2×#156894622
C2×#156894462
C2×#156894352
C2×#156894282
C2×#156894162
C2×#156894252
C2×#156894012
C2×#156891852
C2×C47×#4892
C2×#324347