Finite Group Databasebeta

← C2×#20254545 #27088344

Subgroups — C2×#20254545 #27088344

Order 12032.

1778 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×#15689676C211yesmaximal, characteristic
2C2×#15689675C211yesmaximal, characteristic
3#20254545C2116yesmaximal, direct product factor
4C2×#15689527C211yesmaximal, characteristic, complemented
5C2×#15689520C211yesmaximal, characteristic, complemented
6C2×#15689472C211yesmaximal, characteristic, complemented
7C2×#15689472C211yesmaximal, characteristic, complemented
8C2×#15689465C211yesmaximal, characteristic
9C2×#15689464C211yesmaximal, characteristic
10C2×#15689461C211yesmaximal, characteristic
11C2×#15689433C211yesmaximal, characteristic, complemented
12C2×#15689432C211yesmaximal, characteristic, complemented
13C2×#15689429C211yesmaximal, characteristic, complemented
14C2×#15689428C211yesmaximal, characteristic, complemented
15C2×#15689173C211yesmaximal, characteristic
16C2×C47×#485C211yesmaximal, characteristic
17#15689676—24no—
18#15689676C2218yes—
19#15689675—24no—
20#15689675C2218yes—
21C2×#13094023C2211yescharacteristic
22C2×#13094023C2211yescharacteristic
23C2×#13094023C2211yescharacteristic
24C2×#13094022C2211yescharacteristic
25C2×#13094015C2211yescharacteristic
26C2×#13094015C2211yescharacteristic
27C2×#13094014—21no—
28C2×#13094003C2211yescharacteristic
29C2×#13094001—21no—
30C2×#13094001—21no—
31C2×#13094001—21no—
32C2×Q8×Dic47C2211yescharacteristic
33C2×C4×Dic94—21no—
34C2×C4×Dic94—21no—
35C2×#13093989—21no—
36C2×#13093989C2211yescharacteristic
37C2×#13093983C2211yescharacteristic
38C2×#13093980—21no—
39C22×C4×Dic47C2211yescharacteristic
40#15689527C2218yescomplemented
41#15689520C2218yescomplemented
42#15689472C2218yescomplemented
43#15689472C2218yescomplemented
44#15689465C2218yes—
45#15689464C2218yes—
46#15689461C2218yes—
47#15689433C2218yescomplemented
48#15689432C2218yescomplemented
49#15689429C2218yescomplemented
50#15689428C2218yescomplemented
51#15689173C2218yes—
52C2×#13093958C2211yescharacteristic
53C2×#13093957C2211yescharacteristic
54C2×#13093957C2211yescharacteristic
55C2×#13093956C2211yescharacteristic
56C2×#13093955C2211yescharacteristic
57C2×#13093955C2211yescharacteristic
58C2×Dic47⋊C8C2211yescharacteristic
59C2×Dic47⋊C8C2211yescharacteristic
60C2×#13093949C2211yescharacteristic
61C2×#13093949C2211yescharacteristic
62C2×#13093948C2211yescharacteristic
63C2×#13093948C2211yescharacteristic
64C2×#13093947C2211yescharacteristic
65C2×#13093947C2211yescharacteristic
66C2×C22⋊(C47⋊C8)C2211yescharacteristic
67C2×C8×Dic47C2211yescharacteristic
68C2×C8×Dic47C2211yescharacteristic
69C2×C22⋊Q8×C47C2211yescharacteristic
70C2×#117×C47C2211yescharacteristic
71C47×#485C2218yes—
72C2×#107×C47C2211yescharacteristic
73C2×#106×C47C2211yescharacteristic
74C2×#103×C47C2211yescharacteristic
75C2×#103×C47C2211yescharacteristic
76C2×C22⋊C8×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94—21no—
79C22×Dic94—21no—
80C22×Dic94C2311yescharacteristic
81C23×Dic47D411yescharacteristic
82C23×Dic47D411yescharacteristic
83C22×C47⋊C8C2311yescharacteristic
84C22×C47⋊C8C2311yescharacteristic
85#13094023—22no—
86#13094023—22no—
87#13094023—22no—
88#13094023C2314yes—
89#13094023C2314yes—
90#13094023C2314yes—
91#13094022—22no—
92#13094022C2314yes—
93#13094015—22no—
94#13094015—22no—
95#13094015C2314yes—
96#13094015C2314yes—
97#13094014—28no—
98#13094003—22no—
99#13094003C2314yes—
100#13094001—28no—
101#13094001—28no—
102#13094001—28no—
103Q8×Dic47—22no—
104Q8×Dic47C2314yes—
105C4×Dic94—28no—
106C4×Dic94—28no—
107#13093989—28no—
108#13093989—22no—
109#13093989C2314yes—
110#13093983—22no—
111#13093983C2314yes—
112#13093980—28no—
113C2×C4⋊Dic47—21no—
114C2×C4⋊Dic47—21no—
115C2×C4⋊Dic47—21no—
116C2×C4⋊Dic47C2311yescharacteristic
117C2×C4⋊Dic47C2311yescharacteristic
118C2×C4⋊Dic47C2311yescharacteristic
119C2×Dic47⋊C4—21no—
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⋊C4—21no—
127C2×Dic47⋊C4—21no—
128C2×C22⋊Dic47—21no—
129C2×C22⋊Dic47—21no—
130C2×C4×Dic47—21no—
131C2×C4×Dic47—21no—
132C2×C4×Dic47—21no—
133C2×C4×Dic47D411yescharacteristic
134C2×C4×Dic47D411yescharacteristic
135C2×C4×Dic47D414yes—
136C2×C4×Dic47C2311yescharacteristic
137C2×C4×Dic47C2311yescharacteristic
138C2×C4×Dic47C2314yes—
139#13093958C2314yes—
140#13093957C2314yes—
141#13093957C2314yes—
142#13093956C2314yes—
143#13093955C2314yes—
144#13093955C2314yes—
145Dic47⋊C8C2314yes—
146Dic47⋊C8C2314yes—
147#13093949C2314yes—
148#13093949C2314yes—
149#13093948C2314yes—
150#13093948C2314yes—
151#13093947C2314yes—
152#13093947C2314yes—
153C22⋊(C47⋊C8)C2314yes—
154C8×Dic47C2314yes—
155C8×Dic47C2314yes—
156C22×Q8×C47C2311yescharacteristic
157C23×C4×C47C2311yescharacteristic
158C22×C8×C47C2311yescharacteristic
159C22×C8×C47C2311yescharacteristic
160C22⋊Q8×C47—22no—
161C22⋊Q8×C47C2314yes—
162#117×C47—22no—
163#117×C47C2314yes—
164C2×C4⋊C4×C47—21no—
165C2×C4⋊C4×C47C2311yescharacteristic
166C2×C4⋊C4×C47C2311yescharacteristic
167C2×C4⋊C4×C47C2311yescharacteristic
168C2×C22⋊C4×C47—21no—
169C2×C22⋊C4×C47—21no—
170C2×C42×C47—21no—
171#107×C47C2314yes—
172#106×C47C2314yes—
173#103×C47C2314yes—
174#103×C47C2314yes—
175C22⋊C8×C47C2314yes—
176C24×C47C2×D411yescharacteristic
177C2×Q8×C47—21no—
178C2×Q8×C47—22no—
179C2×Q8×C47—22no—
180C2×Q8×C47C2412yes—
181C22×C4×C47—22no—
182C22×C4×C47—22no—
183C22×C4×C47—21no—
184C22×C4×C47—21no—
185C22×C4×C47—21no—
186C22×C4×C47—21no—
187C22×C4×C47C2×D411yescharacteristic
188C22×C4×C47C2×D412yes—
189C22×C4×C47C2412yes—
190C22×C4×C47C2411yescharacteristic
191C22×Dic47—24no—
192C22×Dic47—24no—
193C22×Dic47—21no—
194C22×Dic47—21no—
195C22×Dic47—21no—
196C22×Dic47—21no—
197C22×Dic47C2×D411yescharacteristic
198C22×Dic47C2×D411yescharacteristic
199C22×Dic47C2×D414yes—
200C22×Dic47C2×D414yes—
201C22×Dic47C2×D411yescharacteristic
202C22×Dic47C2×D411yescharacteristic
203C2×Dic94—22no—
204C2×Dic94—22no—
205C2×Dic94—21no—
206C2×Dic94—24no—
207C2×Dic94—24no—
208C2×Dic94—24no—
209C2×Dic94—44no—
210C2×Dic94—44no—
211C2×Dic94—44no—
212C2×Dic94C2412yes—
213C2×C8×C47—22no—
214C2×C8×C47—22no—
215C2×C8×C47C2412yes—
216C2×C8×C47C2412yes—
217C4⋊C4×C47—24no—
218C4⋊C4×C47—21no—
219C4⋊C4×C47—21no—
220C4⋊C4×C47—21no—
221C4⋊C4×C47C2412yes—
222C4⋊C4×C47C2412yes—
223C4⋊C4×C47C2412yes—
224C22⋊C4×C47—24no—
225C22⋊C4×C47—24no—
226C42×C47—24no—
227C22⋊Dic47—24no—
228C22⋊Dic47—24no—
229C4⋊Dic47—21no—
230C4⋊Dic47—21no—
231C4⋊Dic47—21no—
232C4⋊Dic47—24no—
233C4⋊Dic47—24no—
234C4⋊Dic47—24no—
235C4⋊Dic47C2412yes—
236C4⋊Dic47C2412yes—
237C4⋊Dic47C2412yes—
238Dic47⋊C4—24no—
239Dic47⋊C4—24no—
240Dic47⋊C4—24no—
241Dic47⋊C4—24no—
242Dic47⋊C4—24no—
243Dic47⋊C4—24no—
244Dic47⋊C4—24no—
245Dic47⋊C4—24no—
246Dic47⋊C4—24no—
247C4×Dic47—24no—
248C4×Dic47—24no—
249C4×Dic47—24no—
250C4×Dic47C2×D414yes—
251C4×Dic47C2×D412yes—
252C4×Dic47C2×D414yes—
253C4×Dic47C2×D412yes—
254C4×Dic47C2412yes—
255C4×Dic47C2412yes—
256C2×C47⋊C8—22no—
257C2×C47⋊C8—22no—
258C2×C47⋊C8C2412yes—
259C2×C47⋊C8C2412yes—
260C23×C47—22no—
261C23×C47—22no—
262C23×C47—22no—
263C23×C47C22×D412yes—
264C23×C47C22×D411yescharacteristic
265Q8×C47—22no—
266Q8×C47—22no—
267Q8×C47—42no—
268C2×C4×C47—22no—
269C2×C4×C47—24no—
270C2×C4×C47—22no—
271C2×C4×C47—22no—
272C2×C4×C47—22no—
273C2×C4×C47—22no—
274C2×C4×C47—22no—
275C2×C4×C47—22no—
276C2×C4×C47—42no—
277C2×C4×C47—42no—
278C2×C4×C47—42no—
279C2×C4×C47—42no—
280C2×C4×C47C22×D412yes—
281C2×C4×C47C22×D411yescharacteristic
282C2×C4×C472−1+412yes—
283C2×C4×C472−1+412yes—
284C2×C4×C47C2511yescharacteristic
285C2×Dic47—22no—
286C2×Dic47—22no—
287C2×Dic47—28no—
288C2×Dic47—28no—
289C2×Dic47—22no—
290C2×Dic47—22no—
291C2×Dic47—22no—
292C2×Dic47—22no—
293C2×Dic47—42no—
294C2×Dic47—42no—
295C2×Dic47—42no—
296C2×Dic47—42no—
297C2×Dic47#13514yes—
298C2×Dic47#13714yes—
299C2×Dic47C22×D412yes—
300C2×Dic47C22×D412yes—
301C2×Dic47C22×D412yes—
302C2×Dic47C22×D412yes—
303Dic94—22no—
304Dic94—22no—
305Dic94—42no—
306Dic94—48no—
307Dic94—48no—
308Dic94—48no—
309C8×C47—22no—
310C8×C47—22no—
311C47⋊C8—22no—
312C47⋊C8—22no—
313C2×#3231—471nomaximal, Sylow
314C22×C47—22no—
315C22×C47—22no—
316C22×C47—22no—
317C22×C47—44no—
318C22×C47#53612yes—
319C22×C47C2×#13512yes—
320C22×C47C2×#13712yes—
321C22×C47C23×D411yescharacteristic
322C4×C47—22no—
323C4×C47—42no—
324C4×C47—42no—
325C4×C47—42no—
326C4×C47—42no—
327C4×C47#53612yes—
328C4×C47C2×2−1+411yescharacteristic
329C4×C47C2×2−1+411yescharacteristic
330Dic47—22no—
331Dic47—22no—
332Dic47—42no—
333Dic47—42no—
334Dic47—42no—
335Dic47—42no—
336Dic47C2×#13514yes—
337Dic47C2×#13714yes—
338C2×#533—471no—
339C2×#533—471no—
340#3231—4716no—
341C2×#500—471no—
342C2×#498—471no—
343C2×#487—471no—
344C2×#487—471no—
345C2×#485—471no—
346C2×#485—471no—
347C2×#485—471no—
348C2×#485D4711yescharacteristic
349C2×#479—471no—
350C2×#479—471no—
351C2×#479—471no—
352C2×#479—471no—
353C2×#431—471no—
354C2×C47—42no—
355C2×C47#323114yescomplemented
356C2×C47C2×#53611yescharacteristic
357C2×C47C22×#13511yescharacteristic
358C2×C47C22×#13711yescharacteristic
359#533—478no—
360#533—478no—
361#533—944no—
362#533—944no—
363C2×C4⋊Q8—471no—
364C2×C4⋊Q8—471no—
365C2×C4⋊Q8—471no—
366C2×C4⋊Q8—471no—
367C2×#125—471no—
368C2×#125—471no—
369C2×#125—941no—
370C2×C22⋊Q8—471no—
371C2×C22⋊Q8—941no—
372C2×C22⋊Q8—941no—
373C2×C22⋊Q8—941no—
374C2×C22⋊Q8C2×D4711yescharacteristic
375C2×C4×Q8—471no—
376C2×C4×Q8—471no—
377C2×C4×Q8—941no—
378C2×C4×Q8—941no—
379C2×C4×Q8—941no—
380C2×#117—471no—
381C2×#117—941no—
382C2×#117C2×D4711yescharacteristic
383C22×C42—471no—
384#500—478no—
385#498—478no—
386#487—478no—
387#487—478no—
388#485—478no—
389#485—478no—
390#485—478no—
391#485C2×D4718yes—
392#479—478no—
393#479—478no—
394#479—478no—
395#479—478no—
396#431—478no—
397C2×#107—471no—
398C2×#107—471no—
399C2×#107—471no—
400C2×#107C2×D4711yescharacteristic
401C2×#106—471no—
402C2×#106—471no—
403C2×#106—471no—
404C2×#106C2×D4711yescharacteristic
405C2×C4⋊C8—471no—
406C2×C4⋊C8—471no—
407C2×#103—471no—
408C2×#103—471no—
409C2×#103—471no—
410C2×#103—471no—
411C2×#103—471no—
412C2×#103—471no—
413C2×#103C2×D4711yescharacteristic
414C2×#103C2×D4711yescharacteristic
415C2×C22⋊C8—471no—
416C2×C22⋊C8C2×D4711yescharacteristic
417C2×C4×C8—471no—
418C2×C4×C8—471no—
419C47C2×#323111yescharacteristic, complemented, Sylow
420C22×Q8—471no—
421C22×Q8—941no—
422C22×Q8—941no—
423C22×Q8—941no—
424C22×Q8C22×D4711yescharacteristic
425C23×C4—471no—
426C23×C4—471no—
427C23×C4C22×D4711yescharacteristic
428C22×C8—471no—
429C22×C8—471no—
430C22×C8C22×D4711yescharacteristic
431C22×C8C22×D4711yescharacteristic
432C4⋊Q8—474no—
433C4⋊Q8—474no—
434C4⋊Q8—474no—
435C4⋊Q8—474no—
436C4⋊Q8—942no—
437C4⋊Q8—942no—
438C4⋊Q8—942no—
439C4⋊Q8—942no—
440#125—474no—
441#125—474no—
442#125—942no—
443#125—942no—
444#125—948no—
445C22⋊Q8—22no—
446C22⋊Q8—474no—
447C22⋊Q8—948no—
448C22⋊Q8—948no—
449C22⋊Q8—948no—
450C22⋊Q8—942no—
451C22⋊Q8C22×D4714yes—
452C4×Q8—474no—
453C4×Q8—474no—
454C4×Q8—948no—
455C4×Q8—948no—
456C4×Q8—942no—
457C4×Q8—948no—
458C4×Q8—942no—
459#117—22no—
460#117—474no—
461#117—948no—
462#117—942no—
463#117C22×D4714yes—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—471no—
466C2×C4⋊C4—471no—
467C2×C4⋊C4—471no—
468C2×C4⋊C4—941no—
469C2×C4⋊C4—941no—
470C2×C4⋊C4—941no—
471C2×C4⋊C4—941no—
472C2×C4⋊C4—941no—
473C2×C4⋊C4—941no—
474C2×C4⋊C4—941no—
475C2×C4⋊C4—941no—
476C2×C4⋊C4—941no—
477C2×C4⋊C4—941no—
478C2×C4⋊C4—941no—
479C2×C4⋊C4—941no—
480C2×C4⋊C4C22×D4711yescharacteristic
481C2×C4⋊C4C22×D4711yescharacteristic
482C2×C4⋊C4C22×D4711yescharacteristic
483C2×C22⋊C4—21no—
484C2×C22⋊C4—21no—
485C2×C22⋊C4—941no—
486C2×C22⋊C4—941no—
487C2×C42—21no—
488C2×C42—471no—
489C2×C42—471no—
490C2×C42—474no—
491C2×C42—471no—
492C2×C42—471no—
493C2×C42—474no—
494C2×C42—941no—
495C2×C42—941no—
496C2×C42—941no—
497#107—474no—
498#107—474no—
499#107—474no—
500#107C22×D4714yes—
501#106—474no—
502#106—474no—
503#106—474no—
504#106C22×D4714yes—
505C4⋊C8—474no—
506C4⋊C8—474no—
507#103—474no—
508#103—474no—
509#103—474no—
510#103—474no—
511#103—474no—
512#103—474no—
513#103C22×D4714yes—
514#103C22×D4714yes—
515C22⋊C8—474no—
516C22⋊C8C22×D4714yes—
517C4×C8—474no—
518C4×C8—474no—
519C24D4×D4711yescharacteristic
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—472no—
524C2×Q8—944no—
525C2×Q8—944no—
526C2×Q8—944no—
527C2×Q8—941no—
528C2×Q8—942no—
529C2×Q8—942no—
530C2×Q8—1884no—
531C2×Q8—1884no—
532C2×Q8—1884no—
533C2×Q8C23×D4712yes—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—471no—
541C22×C4—471no—
542C22×C4—474no—
543C22×C4—474no—
544C22×C4—471no—
545C22×C4—471no—
546C22×C4—944no—
547C22×C4—944no—
548C22×C4—941no—
549C22×C4—941no—
550C22×C4—941no—
551C22×C4—941no—
552C22×C4D4×D4712yes—
553C22×C4D4×D4711yescharacteristic
554C22×C4C23×D4712yes—
555C22×C4C23×D4711yescharacteristic
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—472no—
559C2×C8—472no—
560C2×C8—942no—
561C2×C8—942no—
562C2×C8C23×D4712yes—
563C2×C8C23×D4712yes—
564C4⋊C4—24no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—472no—
569C4⋊C4—472no—
570C4⋊C4—472no—
571C4⋊C4—944no—
572C4⋊C4—944no—
573C4⋊C4—944no—
574C4⋊C4—944no—
575C4⋊C4—944no—
576C4⋊C4—944no—
577C4⋊C4—944no—
578C4⋊C4—944no—
579C4⋊C4—944no—
580C4⋊C4—944no—
581C4⋊C4—944no—
582C4⋊C4—944no—
583C4⋊C4—941no—
584C4⋊C4—941no—
585C4⋊C4—941no—
586C4⋊C4C23×D4712yes—
587C4⋊C4C23×D4712yes—
588C4⋊C4C23×D4712yes—
589C22⋊C4—24no—
590C22⋊C4—24no—
591C22⋊C4—944no—
592C22⋊C4—944no—
593C42—24no—
594C42—474no—
595C42—474no—
596C42—472no—
597C42—472no—
598C42—472no—
599C42—472no—
600C42—944no—
601C42—944no—
602C42—944no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23C2×D4×D4712yes—
607C23C2×D4×D4711yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—42no—
611Q8—942no—
612Q8—942no—
613Q8—1888no—
614Q8—1888no—
615Q8—1888no—
616Q8—1882no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—474no—
630C2×C4—474no—
631C2×C4—472no—
632C2×C4—472no—
633C2×C4—472no—
634C2×C4—472no—
635C2×C4—948no—
636C2×C4—948no—
637C2×C4—942no—
638C2×C4—942no—
639C2×C4—942no—
640C2×C4—942no—
641C2×C4—942no—
642C2×C4—942no—
643C2×C4—1882no—
644C2×C4—1882no—
645C2×C4—1882no—
646C2×C4—1882no—
647C2×C4C2×D4×D4712yes—
648C2×C4C2×D4×D4711yescharacteristic
649C2×C4#1309407112yes—
650C2×C4#1309407112yes—
651C2×C4C24×D4711yescharacteristic
652C8—22no—
653C8—22no—
654C8—942no—
655C8—942no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—44no—
660C22#1568969512yes—
661C22#135×D4712yes—
662C22#137×D4712yes—
663C22C22×D4×D4711yescharacteristic
664C4—22no—
665C4—42no—
666C4—42no—
667C4—42no—
668C4—42no—
669C4—474no—
670C4—474no—
671C4—942no—
672C4—942no—
673C4—1882no—
674C4—1882no—
675C4—1882no—
676C4—1882no—
677C4#1568969512yes—
678C4C2×#1309407111yescharacteristic
679C4C2×#1309407111yescharacteristic
680C2—42no—
681C2#2025454514yesdirect product factor
682C2C2×#1568969511yescharacteristic
683C2C2×#135×D4711yescharacteristic
684C2C2×#137×D4711yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#485C2
socleC23×C47C22×D4
prime radicalC24×C47C2×D4
hypercenterC2×#485D47
hypocenterC47C2×#3231
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#485

Complements

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

NH ≅ G/Ntype
3. #20254545C2direct (N × H)
4. C2×#15689527C2semidirect
5. C2×#15689520C2semidirect
6. C2×#15689472C2semidirect
7. C2×#15689472C2semidirect
11. C2×#15689433C2semidirect
12. C2×#15689432C2semidirect
13. C2×#15689429C2semidirect
14. C2×#15689428C2semidirect
40. #15689527C22semidirect
41. #15689520C22semidirect
42. #15689472C22semidirect
43. #15689472C22semidirect
47. #15689433C22semidirect
48. #15689432C22semidirect
49. #15689429C22semidirect
50. #15689428C22semidirect
355. C2×C47#3231semidirect
419. C47C2×#3231semidirect
681. C2#20254545direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156896762
C2×#156896752
#202545452
C2×#156895272
C2×#156895202
C2×#156894722
C2×#156894652
C2×#156894642
C2×#156894612
C2×#156894332
C2×#156894322
C2×#156894292
C2×#156894282
C2×#156891732
C2×C47×#4852
C2×#323147