Finite Group Databasebeta

← C2×#20253923 #27085907

Subgroups — C2×#20253923 #27085907

Order 12032.

1854 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689753C211yesmaximal, characteristic
2C2×#15689750C211yesmaximal, characteristic
3#20253923C2116yesmaximal, direct product factor
4C2×#15689532C211yesmaximal, characteristic, complemented
5C2×#15689531C211yesmaximal, characteristic, complemented
6C2×#15689530C211yesmaximal, characteristic, complemented
7C2×#15689527C211yesmaximal, characteristic, complemented
8C2×#15689526C211yesmaximal, characteristic, complemented
9C2×#15689523C211yesmaximal, characteristic, complemented
10C2×#15689522C211yesmaximal, characteristic, complemented
11C2×#15689164C211yesmaximal, characteristic
12C2×#15689162C211yesmaximal, characteristic
13C2×#15689158C211yesmaximal, characteristic
14C2×#107×D47C211yesmaximal, characteristic
15C2×#15689080C211yesmaximal, characteristic
16C2×C47×#501C211yesmaximal, characteristic, complemented
17C22×#10625324C2211yescharacteristic
18C22×C8×D47C2211yescharacteristic
19#15689753—24no—
20#15689753C2218yes—
21#15689750—24no—
22#15689750C2218yes—
23C2×#13094024C2211yescharacteristic
24C2×#13094023—21no—
25C2×#13094023C2211yescharacteristic
26C2×#13094023C2211yescharacteristic
27C2×#13094022—21no—
28C2×#13094016C2211yescharacteristic
29C2×#13094015C2211yescharacteristic
30C2×#13094015C2211yescharacteristic
31C2×#13094014—21no—
32C2×#13094014—21no—
33C2×#13094004—21no—
34C2×#13094002—21no—
35C2×#13094002—21no—
36C2×#13094000—21no—
37C2×#13093982C2211yescharacteristic
38C2×#13093982C2211yescharacteristic
39C2×#13093981C2211yescharacteristic
40C2×C4⋊C4×D47C2211yescharacteristic
41C2×C4⋊C4×D47C2211yescharacteristic
42#15689532C2218yescomplemented
43#15689531C2218yescomplemented
44#15689530C2218yescomplemented
45#15689527C2218yescomplemented
46#15689526C2218yescomplemented
47#15689523C2218yescomplemented
48#15689522C2218yescomplemented
49#15689164C2218yes—
50#15689162C2218yes—
51#15689158C2218yes—
52C2×#13093958C2211yescharacteristic
53C2×#13093958C2211yescharacteristic
54C2×#13093957C2211yescharacteristic
55C2×#13093957C2211yescharacteristic
56C2×#13093957C2211yescharacteristic
57C2×#13093957C2211yescharacteristic
58C2×#13093957C2211yescharacteristic
59C2×#13093957C2211yescharacteristic
60#107×D47C2218yes—
61C2×#13093956C2211yescharacteristic
62C2×#13093956C2211yescharacteristic
63C2×#13093955C2211yescharacteristic
64C2×#13093955C2211yescharacteristic
65#15689080C2218yes—
66C2×#13093934C2211yescharacteristic
67C2×C4×C47⋊C8C2211yescharacteristic
68C2×C8×Dic47C2211yescharacteristic
69C2×C4⋊Q8×C47C2211yescharacteristic
70C2×#125×C47C2211yescharacteristic
71C47×#501C2218yescomplemented
72C2×#107×C47C2211yescharacteristic
73C2×#107×C47C2211yescharacteristic
74C2×#106×C47C2211yescharacteristic
75C2×#106×C47C2211yescharacteristic
76C2×#97×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94—21no—
79C22×Dic94—21no—
80C22×C4×D47—21no—
81C22×C4×D47—21no—
82C22×C4×D47C2311yescharacteristic
83C2×#10625324Q818yescomplemented
84C2×#10625324C2314yes—
85C22×C47⋊C8C2311yescharacteristic
86C22×C47⋊C8C2311yescharacteristic
87C2×C8×D47Q818yescomplemented
88C2×C8×D47C2314yes—
89#13094024—22no—
90#13094024C2314yes—
91#13094023—28no—
92#13094023—22no—
93#13094023—22no—
94#13094023C2314yes—
95#13094023C2314yes—
96#13094022—28no—
97#13094016—22no—
98#13094016C2314yes—
99#13094015—22no—
100#13094015—22no—
101#13094015C2314yes—
102#13094015C2314yes—
103#13094014—28no—
104#13094014—28no—
105#13094004—28no—
106#13094002—28no—
107#13094002—28no—
108#13094000—28no—
109#13093982—22no—
110#13093982—22no—
111#13093982C2314yes—
112#13093982C2314yes—
113#13093981D414yes—
114#13093981C2314yes—
115C2×C4⋊Dic47—21no—
116C2×C4⋊Dic47—21no—
117C2×C4⋊Dic47—21no—
118C2×C4⋊Dic47C2311yescharacteristic
119C2×C4⋊Dic47C2311yescharacteristic
120C2×C4⋊Dic47C2311yescharacteristic
121C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4—21no—
129C2×Dic47⋊C4—21no—
130C2×Dic47⋊C4D411yescharacteristic
131C2×Dic47⋊C4D411yescharacteristic
132C4⋊C4×D47—22no—
133C4⋊C4×D47—22no—
134C4⋊C4×D47C2314yes—
135C4⋊C4×D47C2314yes—
136C2×(C2×D47)⋊C4—21no—
137C2×(C2×D47)⋊C4—21no—
138C2×(C2×D47)⋊C4D411yescharacteristic
139C2×(C2×D47)⋊C4D411yescharacteristic
140C2×C4×Dic47—21no—
141C2×C4×Dic47—21no—
142C2×C4×Dic47C2311yescharacteristic
143#13093958C2314yes—
144#13093958C2314yes—
145#13093957C2314yes—
146#13093957C2314yes—
147#13093957C2314yes—
148#13093957C2314yes—
149#13093957C2314yes—
150#13093957C2314yes—
151#13093956C2314yes—
152#13093956C2314yes—
153#13093955C2314yes—
154#13093955C2314yes—
155#13093934C2314yes—
156C4×C47⋊C8C2314yes—
157C8×Dic47C2314yes—
158C22×Q8×C47—21no—
159C22×C8×C47C2311yescharacteristic
160C22×C8×C47C2311yescharacteristic
161C4⋊Q8×C47—22no—
162C4⋊Q8×C47C2314yes—
163#125×C47—22no—
164#125×C47C2314yes—
165C2×C4⋊C4×C47—21no—
166C2×C4⋊C4×C47—21no—
167C2×C4⋊C4×C47—21no—
168C2×C4⋊C4×C47C2311yescharacteristic
169C2×C4⋊C4×C47C2311yescharacteristic
170C2×C4⋊C4×C47C2311yescharacteristic
171C2×C4⋊C4×C47C2311yescharacteristic
172C2×C42×C47C2311yescharacteristic
173#107×C47C2314yes—
174#107×C47C2314yes—
175#106×C47C2314yes—
176#106×C47C2314yes—
177#97×C47C2314yes—
178C23×D47C2×D411yescharacteristic
179C2×Q8×C47—24no—
180C2×Q8×C47—82no—
181C22×C4×C47—21no—
182C22×C4×C47—21no—
183C22×C4×C47—21no—
184C22×C4×C47—21no—
185C22×C4×C47C2×D411yescharacteristic
186C22×C4×C47C2×D411yescharacteristic
187C22×C4×C47C2411yescharacteristic
188C22×Dic47—21no—
189C22×Dic47—21no—
190C22×Dic47—21no—
191C22×Dic47—21no—
192C22×Dic47C2×D411yescharacteristic
193C22×Dic47C2×D411yescharacteristic
194C22×Dic47C2×D411yescharacteristic
195C2×C4×D47—24no—
196C2×C4×D47—24no—
197C2×C4×D47—82no—
198C2×C4×D47—82no—
199C2×C4×D47C2×D412yes—
200C2×C4×D47C2×Q814yes—
201C2×C4×D47C2×Q814yes—
202C2×C4×D47C2412yes—
203C2×Dic94—24no—
204C2×Dic94—24no—
205C2×Dic94—24no—
206C2×Dic94—82no—
207C2×Dic94—82no—
208C2×Dic94—82no—
209C2×C8×C47C2×Q814yes—
210C2×C8×C47C2×Q814yes—
211C2×C8×C47C2412yes—
212C2×C8×C47C2412yes—
213C4⋊C4×C47—24no—
214C4⋊C4×C47—24no—
215C4⋊C4×C47—24no—
216C4⋊C4×C47—21no—
217C4⋊C4×C47—21no—
218C4⋊C4×C47—21no—
219C4⋊C4×C47—21no—
220C4⋊C4×C47C2412yes—
221C4⋊C4×C47C2412yes—
222C4⋊C4×C47C2412yes—
223C4⋊C4×C47C2412yes—
224C42×C47C2×D412yes—
225C42×C47C2412yes—
226(C2×D47)⋊C4—24no—
227(C2×D47)⋊C4—24no—
228(C2×D47)⋊C4C2×D414yes—
229(C2×D47)⋊C4C2×D414yes—
230C4⋊Dic47—21no—
231C4⋊Dic47—21no—
232C4⋊Dic47—24no—
233C4⋊Dic47—21no—
234C4⋊Dic47—21no—
235C4⋊Dic47—24no—
236C4⋊Dic47—24no—
237C4⋊Dic47C2412yes—
238C4⋊Dic47C2412yes—
239C4⋊Dic47C2412yes—
240C4⋊Dic47C2412yes—
241Dic47⋊C4—24no—
242Dic47⋊C4—24no—
243Dic47⋊C4—24no—
244Dic47⋊C4—24no—
245Dic47⋊C4—24no—
246Dic47⋊C4—24no—
247Dic47⋊C4—24no—
248Dic47⋊C4—24no—
249Dic47⋊C4C2×D414yes—
250Dic47⋊C4C2×D414yes—
251C4×Dic47—24no—
252C4×Dic47—24no—
253C4×Dic47C2×D412yes—
254C4×Dic47C2412yes—
255C2×C47⋊C8C2×Q814yes—
256C2×C47⋊C8C2×Q814yes—
257C2×C47⋊C8C2412yes—
258C2×C47⋊C8C2412yes—
259#10625324C2×Q8116yescomplemented
260C8×D47C2×Q8116yescomplemented
261C23×C47C22×D411yescharacteristic
262C22×D47—22no—
263C22×D47—22no—
264C22×D47C4⋊Q814yes—
265C22×D47C22×D412yes—
266Q8×C47—84no—
267C2×C4×C47—22no—
268C2×C4×C47—22no—
269C2×C4×C47—22no—
270C2×C4×C47—22no—
271C2×C4×C47—22no—
272C2×C4×C47—22no—
273C2×C4×C47—42no—
274C2×C4×C47—42no—
275C2×C4×C47—42no—
276C2×C4×C47—42no—
277C2×C4×C47C22×D412yes—
278C2×C4×C47C22×D412yes—
279C2×C4×C47C22×D411yescharacteristic
280C2×C4×C47C22×Q812yes—
281C2×C4×C47C22×Q812yes—
282C2×C4×C47C2511yescharacteristic
283C2×Dic47—22no—
284C2×Dic47—22no—
285C2×Dic47—22no—
286C2×Dic47—22no—
287C2×Dic47—22no—
288C2×Dic47—22no—
289C2×Dic47—42no—
290C2×Dic47—42no—
291C2×Dic47—42no—
292C2×Dic47—42no—
293C2×Dic47C4⋊Q814yes—
294C2×Dic47C22×D412yes—
295C2×Dic47C22×D412yes—
296C2×Dic47C22×D412yes—
297C4×D47—84no—
298C4×D47—84no—
299C4×D47C4⋊Q818yes—
300C4×D47C22×Q814yes—
301C4×D47C22×Q814yes—
302Dic94—84no—
303Dic94—84no—
304Dic94—84no—
305C8×C47C22×Q814yes—
306C8×C47C22×Q814yes—
307C47⋊C8C22×Q814yes—
308C47⋊C8C22×Q814yes—
309C2×#3164—471nomaximal, Sylow
310C22×C47C2×C4⋊Q812yes—
311C22×C47#57612yes—
312C22×C47#57812yes—
313C22×C47C23×D411yescharacteristic
314C2×D47—28no—
315C2×D47—22no—
316C2×D47—22no—
317C2×D47C2×C4⋊Q814yes—
318C4×C47—22no—
319C4×C47—22no—
320C4×C47—42no—
321C4×C47—42no—
322C4×C47—42no—
323C4×C47—42no—
324C4×C47C2×C4⋊Q812yes—
325C4×C47C23×Q811yescharacteristic
326C4×C47C23×Q811yescharacteristic
327Dic47—22no—
328Dic47—22no—
329Dic47—42no—
330Dic47—42no—
331Dic47—42no—
332Dic47—42no—
333Dic47C2×C4⋊Q814yes—
334C2×#544—471no—
335C2×#544—471no—
336#3164—4716no—
337C2×#501—471no—
338C2×#501—471no—
339C2×#501—471no—
340C2×#501D4711yescharacteristic, complemented
341C2×#500—471no—
342C2×#500—471no—
343C2×#499—471no—
344C2×#499—471no—
345C2×#428—471no—
346C2×#428—471no—
347C2×#427—471no—
348C22×#107—471no—
349C2×#405—471no—
350C2×C47#316414yescomplemented
351C2×C47C22×C4⋊Q811yescharacteristic
352C2×C47C2×#57611yescharacteristic
353C2×C47C2×#57811yescharacteristic
354D47—24no—
355C22×M16—471no—
356C23×C8—471no—
357#544—478no—
358#544—478no—
359#544—944no—
360#544—944no—
361C2×C4⋊Q8—471no—
362C2×C4⋊Q8—471no—
363C2×C4⋊Q8—471no—
364C2×C4⋊Q8—941no—
365C2×C4⋊Q8—941no—
366C2×C4⋊Q8C2×D4711yescharacteristic
367C2×#125—471no—
368C2×#125—471no—
369C2×#125—471no—
370C2×#125—941no—
371C2×#125—941no—
372C2×#125C2×D4711yescharacteristic
373C2×C22⋊Q8—941no—
374C2×C22⋊Q8—941no—
375C2×C22⋊Q8—941no—
376C2×C22⋊Q8—941no—
377C2×#117—471no—
378C2×#117—471no—
379C2×#117—471no—
380C22×C4⋊C4—471no—
381C22×C4⋊C4—471no—
382#501—478no—
383#501—478no—
384#501—478no—
385#501C2×D4718yescomplemented
386#500—478no—
387#500—478no—
388#499—478no—
389#499—478no—
390#428—478no—
391#428—478no—
392#427—478no—
393C2×#107—471no—
394C2×#107—471no—
395C2×#107—471no—
396C2×#107—471no—
397C2×#107—471no—
398C2×#107—471no—
399C2×#107—471no—
400C2×#107—471no—
401C2×#107—478no—
402C2×#107C2×D4711yescharacteristic
403C2×#107C2×D4711yescharacteristic
404C2×#106—471no—
405C2×#106—471no—
406C2×#106—471no—
407C2×#106—471no—
408C2×#106C2×D4711yescharacteristic
409C2×#106C2×D4711yescharacteristic
410#405—478no—
411C2×#97—471no—
412C2×#97C2×D4711yescharacteristic
413C2×C4×C8—471no—
414C2×C4×C8—471no—
415C47C2×#316411yescharacteristic, complemented, Sylow
416C22×Q8—21no—
417C22×Q8—941no—
418C22×Q8—941no—
419C22×Q8—941no—
420C23×C4—471no—
421C23×C4—941no—
422C23×C4—941no—
423C2×M16—478no—
424C2×M16—474no—
425C22×C8—471no—
426C22×C8—471no—
427C22×C8—478no—
428C22×C8—474no—
429C22×C8C22×D4711yescharacteristic
430C22×C8C22×D4711yescharacteristic
431C4⋊Q8—22no—
432C4⋊Q8—474no—
433C4⋊Q8—474no—
434C4⋊Q8—474no—
435C4⋊Q8—942no—
436C4⋊Q8—942no—
437C4⋊Q8—948no—
438C4⋊Q8—948no—
439C4⋊Q8—942no—
440C4⋊Q8C22×D4714yes—
441#125—22no—
442#125—474no—
443#125—474no—
444#125—474no—
445#125—942no—
446#125—942no—
447#125—948no—
448#125—948no—
449#125—942no—
450#125C22×D4714yes—
451C22⋊Q8—948no—
452C22⋊Q8—948no—
453C22⋊Q8—948no—
454C22⋊Q8—948no—
455#117—474no—
456#117—474no—
457#117—474no—
458#117—474no—
459#117—942no—
460#117—942no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—471no—
465C2×C4⋊C4—471no—
466C2×C4⋊C4—471no—
467C2×C4⋊C4—471no—
468C2×C4⋊C4—471no—
469C2×C4⋊C4—471no—
470C2×C4⋊C4—474no—
471C2×C4⋊C4—474no—
472C2×C4⋊C4—942no—
473C2×C4⋊C4—942no—
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⋊C4—941no—
481C2×C4⋊C4—941no—
482C2×C4⋊C4—941no—
483C2×C4⋊C4—941no—
484C2×C4⋊C4—941no—
485C2×C4⋊C4C22×D4711yescharacteristic
486C2×C4⋊C4C22×D4711yescharacteristic
487C2×C4⋊C4C22×D4711yescharacteristic
488C2×C4⋊C4C22×D4711yescharacteristic
489C2×C22⋊C4—471no—
490C2×C22⋊C4—471no—
491C2×C22⋊C4—941no—
492C2×C22⋊C4—941no—
493C2×C42—471no—
494C2×C42—941no—
495C2×C42—941no—
496C2×C42C22×D4711yescharacteristic
497#107—474no—
498#107—474no—
499#107—474no—
500#107—474no—
501#107—474no—
502#107—474no—
503#107—474no—
504#107—474no—
505#107C22×D4714yes—
506#107C22×D4714yes—
507#106—474no—
508#106—474no—
509#106—474no—
510#106—474no—
511#106C22×D4714yes—
512#106C22×D4714yes—
513#97—474no—
514#97C22×D4714yes—
515C4×C8—474no—
516C4×C8—474no—
517C24—471no—
518C2×Q8—24no—
519C2×Q8—82no—
520C2×Q8—944no—
521C2×Q8—944no—
522C2×Q8—944no—
523C2×Q8—3762no—
524C2×Q8—3762no—
525C2×Q8—3762no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—471no—
531C22×C4—472no—
532C22×C4—474no—
533C22×C4—474no—
534C22×C4—472no—
535C22×C4—471no—
536C22×C4—471no—
537C22×C4—944no—
538C22×C4—944no—
539C22×C4—941no—
540C22×C4—941no—
541C22×C4—941no—
542C22×C4—941no—
543C22×C4—3762no—
544C22×C4—3762no—
545C22×C4D4×D4711yescharacteristic
546C22×C4D4×D4711yescharacteristic
547C22×C4C23×D4711yescharacteristic
548M16—4716no—
549C2×C8—474no—
550C2×C8—474no—
551C2×C8—472no—
552C2×C8—472no—
553C2×C8—4716no—
554C2×C8Q8×D4714yes—
555C2×C8Q8×D4714yes—
556C2×C8C23×D4712yes—
557C2×C8C23×D4712yes—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—474no—
566C4⋊C4—474no—
567C4⋊C4—472no—
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—941no—
582C4⋊C4—941no—
583C4⋊C4—941no—
584C4⋊C4—941no—
585C4⋊C4—944no—
586C4⋊C4C23×D4712yes—
587C4⋊C4C23×D4712yes—
588C4⋊C4C23×D4712yes—
589C4⋊C4C23×D4712yes—
590C22⋊C4—474no—
591C22⋊C4—474no—
592C22⋊C4—944no—
593C22⋊C4—944no—
594C42—472no—
595C42—472no—
596C42—944no—
597C42—944no—
598C42D4×D4712yes—
599C42C23×D4712yes—
600C23—474no—
601C23—472no—
602C23—942no—
603C23—942no—
604C23C2×D4×D4711yescharacteristic
605Q8—84no—
606Q8—3764no—
607Q8—3764no—
608Q8—3764no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—474no—
620C2×C4—472no—
621C2×C4—478no—
622C2×C4—474no—
623C2×C4—474no—
624C2×C4—472no—
625C2×C4—472no—
626C2×C4—942no—
627C2×C4—942no—
628C2×C4—942no—
629C2×C4—942no—
630C2×C4—942no—
631C2×C4—942no—
632C2×C4—3764no—
633C2×C4—3764no—
634C2×C4—1882no—
635C2×C4—1882no—
636C2×C4—1882no—
637C2×C4—1882no—
638C2×C4C2×D4×D4712yes—
639C2×C4C2×D4×D4712yes—
640C2×C4C2×D4×D4711yescharacteristic
641C2×C4C2×Q8×D4712yes—
642C2×C4C2×Q8×D4712yes—
643C2×C4C24×D4711yescharacteristic
644C8—474no—
645C8—474no—
646C8C2×Q8×D4714yes—
647C8C2×Q8×D4714yes—
648C22—474no—
649C22—942no—
650C22—942no—
651C22—948no—
652C22C4⋊Q8×D4712yes—
653C22#1568992712yes—
654C22#1568993912yes—
655C22C22×D4×D4711yescharacteristic
656C4—22no—
657C4—22no—
658C4—42no—
659C4—42no—
660C4—42no—
661C4—42no—
662C4—474no—
663C4—942no—
664C4—942no—
665C4—1882no—
666C4—1882no—
667C4—1882no—
668C4—1882no—
669C4C4⋊Q8×D4712yes—
670C4C22×Q8×D4711yescharacteristic
671C4C22×Q8×D4711yescharacteristic
672C2—944no—
673C2#2025392314yesdirect product factor
674C2C2×C4⋊Q8×D4711yescharacteristic
675C2C2×#1568992711yescharacteristic
676C2C2×#1568993911yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#501C2
socleC23×C47C22×D4
prime radicalC23×D47C2×D4
hypercenterC2×#501D47
hypocenterC47C2×#3164
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
3. #20253923C2direct (N × H)
4. C2×#15689532C2semidirect
5. C2×#15689531C2semidirect
6. C2×#15689530C2semidirect
7. C2×#15689527C2semidirect
8. C2×#15689526C2semidirect
9. C2×#15689523C2semidirect
10. C2×#15689522C2semidirect
16. C2×C47×#501C2semidirect
42. #15689532C22semidirect
43. #15689531C22semidirect
44. #15689530C22semidirect
45. #15689527C22semidirect
46. #15689526C22semidirect
47. #15689523C22semidirect
48. #15689522C22semidirect
71. C47×#501C22semidirect
83. C2×#10625324Q8semidirect
87. C2×C8×D47Q8semidirect
259. #10625324C2×Q8semidirect
260. C8×D47C2×Q8semidirect
340. C2×#501D47semidirect
350. C2×C47#3164semidirect
385. #501C2×D47semidirect
415. C47C2×#3164semidirect
673. C2#20253923direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156897532
C2×#156897502
#202539232
C2×#156895322
C2×#156895312
C2×#156895302
C2×#156895272
C2×#156895262
C2×#156895232
C2×#156895222
C2×#156891642
C2×#156891622
C2×#156891582
C2×#107×D472
C2×#156890802
C2×C47×#5012
C2×#316447