Finite Group Databasebeta

← C2×#20256131 #27096004

Subgroups — C2×#20256131 #27096004

Order 12032.

1842 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689853C211yesmaximal, characteristic, complemented
2C2×#15689845C211yesmaximal, characteristic
3#20256131C2116yesmaximal, direct product factor
4C2×#15689485C211yesmaximal, characteristic
5C2×#15689484C211yesmaximal, characteristic
6C2×#15689472C211yesmaximal, characteristic, complemented
7C2×#15689407C211yesmaximal, characteristic, complemented
8C2×#15689412C211yesmaximal, characteristic
9C2×#15689348C211yesmaximal, characteristic
10C2×#15689346C211yesmaximal, characteristic
11C2×#15689332C211yesmaximal, characteristic, complemented
12C2×#15689252C211yesmaximal, characteristic, complemented
13C2×#15689229C211yesmaximal, characteristic, complemented
14C2×#15689228C211yesmaximal, characteristic, complemented
15C2×#15689210C211yesmaximal, characteristic
16C2×C47×#475C211yesmaximal, characteristic, complemented
17C22×Dic188C2211yescharacteristic
18C22×#10625337C2211yescharacteristic
19C22×#10625325C2211yescharacteristic
20#15689853—24no—
21#15689853C2218yescomplemented
22#15689845—24no—
23#15689845C2218yes—
24C2×#13094023—21no—
25C2×#13094023C2211yescharacteristic
26C2×#13094023C2211yescharacteristic
27C2×#13094022—21no—
28C2×#13094022—21no—
29C2×#13094022C2211yescharacteristic
30C2×#13094019—21no—
31C2×#13094018—21no—
32C2×#13094013C2211yescharacteristic
33C2×#13094012C2211yescharacteristic
34C2×#13094002—21no—
35C2×C4×Dic94C2211yescharacteristic
36C2×C4×Dic94C2211yescharacteristic
37C2×#13093989—21no—
38C2×#13093989C2211yescharacteristic
39C2×#13093989C2211yescharacteristic
40C2×#13093989C2211yescharacteristic
41C2×#13093986C2211yescharacteristic
42C2×#13093981—21no—
43#15689485C2218yes—
44#15689484C2218yes—
45#15689472C2218yescomplemented
46#15689412C2218yes—
47#15689407C2218yescomplemented
48#15689348C2218yes—
49#15689346C2218yes—
50#15689332C2218yescomplemented
51#15689252C2218yescomplemented
52#15689229C2218yescomplemented
53#15689228C2218yescomplemented
54#15689210C2218yes—
55C2×#13093955C2211yescharacteristic
56C2×Dic47⋊C8C2211yescharacteristic
57C2×Dic47⋊C8C2211yescharacteristic
58C2×#13093949C2211yescharacteristic
59C2×#13093948C2211yescharacteristic
60C2×#13093947C2211yescharacteristic
61C2×#13093947C2211yescharacteristic
62C2×#13093947C2211yescharacteristic
63C2×#13093946C2211yescharacteristic
64C2×#13093944C2211yescharacteristic
65C2×#13093944C2211yescharacteristic
66C2×#13093935C2211yescharacteristic
67C2×#13093934C2211yescharacteristic
68C2×C8×Dic47C2211yescharacteristic
69C2×C4⋊Q8×C47C2211yescharacteristic
70C2×C4×Q8×C47C2211yescharacteristic
71C47×#475C2218yescomplemented
72C2×#106×C47C2211yescharacteristic
73C2×#106×C47C2211yescharacteristic
74C2×C4⋊C8×C47C2211yescharacteristic
75C2×#103×C47C2211yescharacteristic
76C2×#103×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94—21no—
79C22×Dic94D411yescharacteristic
80C22×Dic94C2311yescharacteristic
81C22×Dic94C2311yescharacteristic
82C22×D188C2311yescharacteristic
83C22×C4×D47—21no—
84C2×Dic188—24no—
85C2×Dic188C2314yes—
86C2×#10625337—24no—
87C2×#10625337C2314yes—
88C2×#10625325—24no—
89C2×#10625325C2314yes—
90C22×C47⋊C8C2311yescharacteristic
91C22×C47⋊C8C2311yescharacteristic
92#13094023—28no—
93#13094023—22no—
94#13094023—22no—
95#13094023C2314yes—
96#13094023C2314yes—
97#13094022—28no—
98#13094022—28no—
99#13094022—22no—
100#13094022C2314yes—
101#13094019—28no—
102#13094018—28no—
103#13094013—22no—
104#13094013C2314yes—
105#13094012—22no—
106#13094012C2314yes—
107#13094002—28no—
108C4×Dic94—22no—
109C4×Dic94D414yes—
110C4×Dic94C2314yes—
111C4×Dic94C2314yes—
112#13093989—28no—
113#13093989—22no—
114#13093989—22no—
115#13093989—22no—
116#13093989C2314yes—
117#13093989C2314yes—
118#13093989C2314yes—
119#13093986—22no—
120#13093986C2314yes—
121#13093981—28no—
122C2×C4⋊Dic47D411yescharacteristic
123C2×C4⋊Dic47C2311yescharacteristic
124C2×Dic47⋊C4—21no—
125C2×Dic47⋊C4—21no—
126C2×Dic47⋊C4—21no—
127C2×Dic47⋊C4—21no—
128C2×Dic47⋊C4—21no—
129C2×Dic47⋊C4—21no—
130C2×Dic47⋊C4—21no—
131C2×Dic47⋊C4—21no—
132C2×Dic47⋊C4D411yescharacteristic
133C2×Dic47⋊C4D411yescharacteristic
134C2×(C2×D47)⋊C4—21no—
135C2×(C2×D47)⋊C4—21no—
136C2×(C2×D47)⋊C4—21no—
137C2×(C2×D47)⋊C4—21no—
138C2×(C2×D47)⋊C4—21no—
139C2×C4×Dic47—21no—
140C2×C4×Dic47—21no—
141C2×C4×Dic47—21no—
142C2×C4×Dic47—21no—
143C2×C4×Dic47C2311yescharacteristic
144C2×C4×Dic47C2311yescharacteristic
145#13093955C2314yes—
146Dic47⋊C8C2314yes—
147Dic47⋊C8C2314yes—
148#13093949C2314yes—
149#13093948C2314yes—
150#13093947C2314yes—
151#13093947C2314yes—
152#13093947C2314yes—
153#13093946C2314yes—
154#13093944C2314yes—
155#13093944C2314yes—
156#13093935C2314yes—
157#13093934C2314yes—
158C8×Dic47C2314yes—
159C22×Q8×C47—21no—
160C22×Q8×C47C2311yescharacteristic
161C22×C8×C47C2311yescharacteristic
162C22×C8×C47C2311yescharacteristic
163C4⋊Q8×C47—22no—
164C4⋊Q8×C47C2314yes—
165C4×Q8×C47—22no—
166C4×Q8×C47C2314yes—
167C2×C4⋊C4×C47—21no—
168C2×C4⋊C4×C47—21no—
169C2×C4⋊C4×C47C2311yescharacteristic
170C2×C4⋊C4×C47C2311yescharacteristic
171C2×C4⋊C4×C47C2311yescharacteristic
172C2×C42×C47—21no—
173C2×C42×C47C2311yescharacteristic
174#106×C47C2314yes—
175#106×C47C2314yes—
176C4⋊C8×C47C2314yes—
177#103×C47C2314yes—
178#103×C47C2314yes—
179C23×D47—21no—
180C2×Q8×C47—21no—
181C2×Q8×C47—24no—
182C2×Q8×C47—22no—
183C2×Q8×C47—22no—
184C2×Q8×C47—82no—
185C2×Q8×C47C2412yes—
186C22×C4×C47—21no—
187C22×C4×C47—21no—
188C22×C4×C47—21no—
189C22×C4×C47—21no—
190C22×C4×C47C2×D411yescharacteristic
191C22×C4×C47C2×D411yescharacteristic
192C22×C4×C47C2411yescharacteristic
193C22×Dic47—21no—
194C22×Dic47—21no—
195C22×Dic47—21no—
196C22×Dic47C2×D411yescharacteristic
197C22×Dic47C2×D411yescharacteristic
198C22×Dic47C2×D411yescharacteristic
199C22×Dic47C2×D411yescharacteristic
200C2×D188—22no—
201C2×D188—22no—
202C2×D188—21no—
203C2×D188C2412yes—
204C2×C4×D47—24no—
205C2×C4×D47—44no—
206C2×Dic94—21no—
207C2×Dic94—22no—
208C2×Dic94—24no—
209C2×Dic94—22no—
210C2×Dic94—22no—
211C2×Dic94—21no—
212C2×Dic94—24no—
213C2×Dic94—24no—
214C2×Dic94—82no—
215C2×Dic94—82no—
216C2×Dic94C2×D414yes—
217C2×Dic94#4114yes—
218C2×Dic94C2412yes—
219C2×Dic94C2412yes—
220C2×C8×C47—22no—
221C2×C8×C47—22no—
222C2×C8×C47C2412yes—
223C2×C8×C47C2412yes—
224C4⋊C4×C47—24no—
225C4⋊C4×C47—24no—
226C4⋊C4×C47—21no—
227C4⋊C4×C47—21no—
228C4⋊C4×C47—21no—
229C4⋊C4×C47C2412yes—
230C4⋊C4×C47C2412yes—
231C4⋊C4×C47C2412yes—
232C42×C47—24no—
233C42×C47C2×D412yes—
234C42×C47C2412yes—
235#10625337—28no—
236(C2×D47)⋊C4—24no—
237(C2×D47)⋊C4—24no—
238(C2×D47)⋊C4—24no—
239(C2×D47)⋊C4—24no—
240(C2×D47)⋊C4—24no—
241C4⋊Dic47—21no—
242C4⋊Dic47C2×D414yes—
243C4⋊Dic47C2412yes—
244Dic47⋊C4—24no—
245Dic47⋊C4—24no—
246Dic47⋊C4—24no—
247Dic47⋊C4—24no—
248Dic47⋊C4—24no—
249Dic47⋊C4—24no—
250Dic47⋊C4—24no—
251Dic47⋊C4—24no—
252Dic47⋊C4C2×D414yes—
253Dic47⋊C4C2×D414yes—
254C4×Dic47—24no—
255C4×Dic47—24no—
256C4×Dic47—24no—
257C4×Dic47—24no—
258C4×Dic47C2×D412yes—
259C4×Dic47C2×D412yes—
260C4×Dic47C2412yes—
261C4×Dic47C2412yes—
262C2×C47⋊C8—22no—
263C2×C47⋊C8—22no—
264C2×C47⋊C8C2412yes—
265C2×C47⋊C8C2412yes—
266Dic188—28no—
267#10625325—28no—
268C23×C47C22×D411yescharacteristic
269C22×D47—22no—
270C22×D47—42no—
271C22×D47—42no—
272C22×D47—42no—
273Q8×C47—22no—
274Q8×C47—22no—
275Q8×C47—42no—
276Q8×C47—84no—
277C2×C4×C47—22no—
278C2×C4×C47—22no—
279C2×C4×C47—22no—
280C2×C4×C47—22no—
281C2×C4×C47—22no—
282C2×C4×C47—22no—
283C2×C4×C47—42no—
284C2×C4×C47—42no—
285C2×C4×C47—42no—
286C2×C4×C47—42no—
287C2×C4×C47C22×D412yes—
288C2×C4×C47C22×D412yes—
289C2×C4×C47C22×D411yescharacteristic
290C2×C4×C47C2×#4112yes—
291C2×C4×C472−1+412yes—
292C2×C4×C47C2511yescharacteristic
293C2×Dic47—24no—
294C2×Dic47—22no—
295C2×Dic47—22no—
296C2×Dic47—22no—
297C2×Dic47—22no—
298C2×Dic47—22no—
299C2×Dic47—22no—
300C2×Dic47—42no—
301C2×Dic47—42no—
302C2×Dic47#13714yes—
303C2×Dic47C22×D412yes—
304C2×Dic47C22×D412yes—
305C2×Dic47C22×D412yes—
306C2×Dic47C22×D412yes—
307D188—22no—
308D188—22no—
309D188—42no—
310C4×D47—48no—
311Dic94—24no—
312Dic94—22no—
313Dic94—28no—
314Dic94—22no—
315Dic94—22no—
316Dic94—42no—
317Dic94—84no—
318Dic94—84no—
319Dic94C2×#4114yes—
320C8×C47—22no—
321C8×C47—22no—
322C47⋊C8—22no—
323C47⋊C8—22no—
324C2×#3369—471nomaximal, Sylow
325C22×C47#54812yes—
326C22×C47C2×#13712yes—
327C22×C47#57712yes—
328C22×C47C23×D411yescharacteristic
329C2×D47—42no—
330C2×D47—42no—
331C2×D47—42no—
332C2×D47—84no—
333C4×C47—22no—
334C4×C47—22no—
335C4×C47—42no—
336C4×C47—42no—
337C4×C47—42no—
338C4×C47—42no—
339C4×C47#54812yes—
340C4×C47C22×#4111yescharacteristic
341C4×C47C2×2−1+411yescharacteristic
342Dic47—24no—
343Dic47—22no—
344Dic47—22no—
345Dic47—22no—
346Dic47—42no—
347Dic47—42no—
348Dic47C2×#13714yes—
349C2×Q82—471no—
350C2×#556—471no—
351#3369—4716no—
352C2×#489—471no—
353C2×#489—471no—
354C2×#487—471no—
355C2×#475—471no—
356C2×#475D4711yescharacteristic, complemented
357C2×#476—471no—
358C2×#464—471no—
359C2×#464—471no—
360C2×#462—471no—
361C2×#446—471no—
362C2×#441—471no—
363C2×#441—471no—
364C2×C4×SD16—471no—
365C2×C47#336914yescomplemented
366C2×C47C2×#54811yescharacteristic
367C2×C47C22×#13711yescharacteristic
368C2×C47C2×#57711yescharacteristic
369D47—82no—
370C22×Q16—471no—
371C22×Q16—471no—
372C22×SD16—471no—
373Q82—478no—
374Q82—944no—
375#556—478no—
376#556—944no—
377C2×C4⋊Q8—471no—
378C2×C4⋊Q8—471no—
379C2×C4⋊Q8—471no—
380C2×C4⋊Q8—941no—
381C2×C4⋊Q8—941no—
382C2×C4⋊Q8—941no—
383C2×C4⋊Q8C2×D4711yescharacteristic
384C2×#126—941no—
385C2×#126—941no—
386C2×#124—471no—
387C2×#124—471no—
388C2×C22⋊Q8—941no—
389C2×C4×Q8—471no—
390C2×C4×Q8—471no—
391C2×C4×Q8—471no—
392C2×C4×Q8—471no—
393C2×C4×Q8—471no—
394C2×C4×Q8—941no—
395C2×C4×Q8C2×D4711yescharacteristic
396C2×C4×D4—471no—
397C2×#117—941no—
398#489—478no—
399#489—478no—
400#487—478no—
401#476—478no—
402#475—478no—
403#475C2×D4718yescomplemented
404#464—478no—
405#464—478no—
406#462—478no—
407#446—478no—
408#441—478no—
409#441—478no—
410C4×SD16—478no—
411C2×#106—471no—
412C2×#106C2×D4711yescharacteristic
413C2×#106C2×D4711yescharacteristic
414C2×C4⋊C8—471no—
415C2×C4⋊C8—471no—
416C2×C4⋊C8C2×D4711yescharacteristic
417C2×#103—471no—
418C2×#103—471no—
419C2×#103—471no—
420C2×#103—471no—
421C2×#103—471no—
422C2×#103C2×D4711yescharacteristic
423C2×#103C2×D4711yescharacteristic
424C2×#102—471no—
425C2×#102—471no—
426C2×#102—471no—
427C2×#97—471no—
428C2×#97—471no—
429C2×C4×C8—471no—
430C47C2×#336911yescharacteristic, complemented, Sylow
431C22×Q8—21no—
432C22×Q8—471no—
433C22×Q8—471no—
434C22×Q8—471no—
435C22×Q8—941no—
436C22×Q8—941no—
437C22×Q8C22×D4711yescharacteristic
438C22×D4—471no—
439C23×C4—941no—
440C2×Q16—474no—
441C2×Q16—474no—
442C2×Q16—944no—
443C2×Q16—944no—
444C2×SD16—474no—
445C2×SD16—944no—
446C22×C8—471no—
447C22×C8—471no—
448C22×C8C22×D4711yescharacteristic
449C22×C8C22×D4711yescharacteristic
450C4⋊Q8—22no—
451C4⋊Q8—474no—
452C4⋊Q8—474no—
453C4⋊Q8—474no—
454C4⋊Q8—942no—
455C4⋊Q8—942no—
456C4⋊Q8—942no—
457C4⋊Q8—948no—
458C4⋊Q8—948no—
459C4⋊Q8—948no—
460C4⋊Q8C22×D4714yes—
461#126—948no—
462#126—948no—
463#124—474no—
464#124—474no—
465#124—942no—
466#124—942no—
467C22⋊Q8—948no—
468C4×Q8—22no—
469C4×Q8—474no—
470C4×Q8—474no—
471C4×Q8—474no—
472C4×Q8—474no—
473C4×Q8—474no—
474C4×Q8—474no—
475C4×Q8—942no—
476C4×Q8—942no—
477C4×Q8—942no—
478C4×Q8—948no—
479C4×Q8—942no—
480C4×Q8C22×D4714yes—
481C4×D4—474no—
482C4×D4—942no—
483#117—948no—
484C2×C4⋊C4—21no—
485C2×C4⋊C4—21no—
486C2×C4⋊C4—471no—
487C2×C4⋊C4—471no—
488C2×C4⋊C4—471no—
489C2×C4⋊C4—471no—
490C2×C4⋊C4—941no—
491C2×C4⋊C4—941no—
492C2×C4⋊C4—941no—
493C2×C4⋊C4—941no—
494C2×C4⋊C4—941no—
495C2×C4⋊C4—941no—
496C2×C4⋊C4—941no—
497C2×C4⋊C4—941no—
498C2×C4⋊C4C22×D4711yescharacteristic
499C2×C4⋊C4C22×D4711yescharacteristic
500C2×C4⋊C4C22×D4711yescharacteristic
501C2×C22⋊C4—941no—
502C2×C22⋊C4—941no—
503C2×C22⋊C4—941no—
504C2×C22⋊C4—941no—
505C2×C22⋊C4—941no—
506C2×C42—21no—
507C2×C42—471no—
508C2×C42—471no—
509C2×C42—941no—
510C2×C42—941no—
511C2×C42—941no—
512C2×C42—941no—
513C2×C42C22×D4711yescharacteristic
514#106—474no—
515#106C22×D4714yes—
516#106C22×D4714yes—
517C4⋊C8—474no—
518C4⋊C8—474no—
519C4⋊C8C22×D4714yes—
520#103—474no—
521#103—474no—
522#103—474no—
523#103—474no—
524#103—474no—
525#103C22×D4714yes—
526#103C22×D4714yes—
527#102—474no—
528#102—474no—
529#102—474no—
530#97—474no—
531#97—474no—
532C4×C8—474no—
533C24—941no—
534C2×Q8—21no—
535C2×Q8—24no—
536C2×Q8—22no—
537C2×Q8—22no—
538C2×Q8—82no—
539C2×Q8—474no—
540C2×Q8—474no—
541C2×Q8—472no—
542C2×Q8—472no—
543C2×Q8—944no—
544C2×Q8—944no—
545C2×Q8—944no—
546C2×Q8—941no—
547C2×Q8—941no—
548C2×Q8—942no—
549C2×Q8—942no—
550C2×Q8—942no—
551C2×Q8—3762no—
552C2×Q8—3762no—
553C2×Q8C23×D4712yes—
554C2×D4—472no—
555C2×D4—941no—
556C2×D4—942no—
557C2×D4—942no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—471no—
563C22×C4—471no—
564C22×C4—471no—
565C22×C4—471no—
566C22×C4—944no—
567C22×C4—941no—
568C22×C4—941no—
569C22×C4—941no—
570C22×C4—1884no—
571C22×C4D4×D4711yescharacteristic
572C22×C4D4×D4711yescharacteristic
573C22×C4C23×D4711yescharacteristic
574Q16—948no—
575Q16—948no—
576SD16—948no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—472no—
580C2×C8—472no—
581C2×C8—942no—
582C2×C8—942no—
583C2×C8C23×D4712yes—
584C2×C8C23×D4712yes—
585C4⋊C4—24no—
586C4⋊C4—24no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—474no—
591C4⋊C4—474no—
592C4⋊C4—474no—
593C4⋊C4—472no—
594C4⋊C4—944no—
595C4⋊C4—944no—
596C4⋊C4—944no—
597C4⋊C4—944no—
598C4⋊C4—944no—
599C4⋊C4—944no—
600C4⋊C4—944no—
601C4⋊C4—944no—
602C4⋊C4—941no—
603C4⋊C4C23×D4712yes—
604C4⋊C4C23×D4712yes—
605C4⋊C4C23×D4712yes—
606C22⋊C4—944no—
607C22⋊C4—944no—
608C22⋊C4—944no—
609C22⋊C4—944no—
610C22⋊C4—944no—
611C42—24no—
612C42—472no—
613C42—472no—
614C42—472no—
615C42—472no—
616C42—944no—
617C42—944no—
618C42—944no—
619C42—944no—
620C42D4×D4712yes—
621C42C23×D4712yes—
622C23—942no—
623C23—1882no—
624C23—1882no—
625C23—1882no—
626C23C2×D4×D4711yescharacteristic
627Q8—22no—
628Q8—22no—
629Q8—42no—
630Q8—84no—
631Q8—474no—
632Q8—948no—
633Q8—944no—
634Q8—942no—
635Q8—942no—
636Q8—942no—
637Q8—3764no—
638Q8—3764no—
639Q8—1882no—
640D4—942no—
641D4—942no—
642D4—1882no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—474no—
654C2×C4—472no—
655C2×C4—472no—
656C2×C4—472no—
657C2×C4—472no—
658C2×C4—944no—
659C2×C4—942no—
660C2×C4—942no—
661C2×C4—942no—
662C2×C4—942no—
663C2×C4—942no—
664C2×C4—942no—
665C2×C4—1888no—
666C2×C4—1882no—
667C2×C4—1882no—
668C2×C4C2×D4×D4712yes—
669C2×C4C2×D4×D4712yes—
670C2×C4C2×D4×D4711yescharacteristic
671C2×C4#41×D4712yes—
672C2×C4#1309407212yes—
673C2×C4C24×D4711yescharacteristic
674C8—22no—
675C8—22no—
676C8—942no—
677C8—942no—
678C22—3764no—
679C22—1882no—
680C22—1882no—
681C22—1882no—
682C22#1568978312yes—
683C22#137×D4712yes—
684C22#1568992912yes—
685C22C22×D4×D4711yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—42no—
692C4—474no—
693C4—942no—
694C4—944no—
695C4—942no—
696C4—942no—
697C4—1882no—
698C4—1882no—
699C4#1568978312yes—
700C4C2×#41×D4711yescharacteristic
701C4C2×#1309407211yescharacteristic
702C2—3762no—
703C2#2025613114yesdirect product factor
704C2C2×#1568978311yescharacteristic
705C2C2×#137×D4711yescharacteristic
706C2C2×#1568992911yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#475C2
socleC23×C47C22×D4
prime radicalC22×D188C23
hypercenterC2×#475D47
hypocenterC47C2×#3369
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#475

Complements

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

NH ≅ G/Ntype
1. C2×#15689853C2semidirect
3. #20256131C2direct (N × H)
6. C2×#15689472C2semidirect
7. C2×#15689407C2semidirect
11. C2×#15689332C2semidirect
12. C2×#15689252C2semidirect
13. C2×#15689229C2semidirect
14. C2×#15689228C2semidirect
16. C2×C47×#475C2semidirect
21. #15689853C22semidirect
45. #15689472C22semidirect
47. #15689407C22semidirect
50. #15689332C22semidirect
51. #15689252C22semidirect
52. #15689229C22semidirect
53. #15689228C22semidirect
71. C47×#475C22semidirect
356. C2×#475D47semidirect
365. C2×C47#3369semidirect
403. #475C2×D47semidirect
430. C47C2×#3369semidirect
703. C2#20256131direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156898532
C2×#156898452
#202561312
C2×#156894852
C2×#156894842
C2×#156894722
C2×#156894072
C2×#156894122
C2×#156893482
C2×#156893462
C2×#156893322
C2×#156892522
C2×#156892292
C2×#156892282
C2×#156892102
C2×C47×#4752
C2×#336947