Finite Group Databasebeta

← C2×#20256295 #27096764

Subgroups — C2×#20256295 #27096764

Order 12032.

1854 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689853C211yesmaximal, characteristic, complemented
2C2×#15689829C211yesmaximal, characteristic
3#20256295C2116yesmaximal, direct product factor
4C2×#15689530C211yesmaximal, characteristic, complemented
5C2×#15689527C211yesmaximal, characteristic, complemented
6C2×#15689433C211yesmaximal, characteristic, complemented
7C2×#15689427C211yesmaximal, characteristic, complemented
8C2×#15689417C211yesmaximal, characteristic, complemented
9C2×#15689412C211yesmaximal, characteristic
10C2×#15689402C211yesmaximal, characteristic
11C2×#15689400C211yesmaximal, characteristic
12C2×#15689251C211yesmaximal, characteristic, complemented
13C2×#15689225C211yesmaximal, characteristic
14C2×#15689222C211yesmaximal, characteristic
15C2×#15689210C211yesmaximal, characteristic
16C2×C47×#501C211yesmaximal, characteristic, complemented
17C22×#10625325C2211yescharacteristic
18#15689853—24no—
19#15689853C2218yescomplemented
20#15689829—24no—
21#15689829C2218yes—
22C2×#13094023—21no—
23C2×#13094023C2211yescharacteristic
24C2×#13094023C2211yescharacteristic
25C2×#13094023C2211yescharacteristic
26C2×#13094022—21no—
27C2×#13094022—21no—
28C2×#13094015C2211yescharacteristic
29C2×#13094004—21no—
30C2×#13094002—21no—
31C2×#13094002—21no—
32C2×C4×Dic94C2211yescharacteristic
33C2×C4×Dic94C2211yescharacteristic
34C2×#13093989—21no—
35C2×#13093989C2211yescharacteristic
36C2×#13093989C2211yescharacteristic
37C2×C4×D188C2211yescharacteristic
38C2×#13093986C2211yescharacteristic
39C2×#13093986C2211yescharacteristic
40C2×C4⋊C4×D47—21no—
41#15689530C2218yescomplemented
42#15689527C2218yescomplemented
43#15689433C2218yescomplemented
44#15689427C2218yescomplemented
45#15689417C2218yescomplemented
46#15689412C2218yes—
47#15689402C2218yes—
48#15689400C2218yes—
49#15689251C2218yescomplemented
50#15689225C2218yes—
51#15689222C2218yes—
52#15689210C2218yes—
53C2×#13093958C2211yescharacteristic
54C2×#13093957C2211yescharacteristic
55C2×#13093957C2211yescharacteristic
56C2×#13093957C2211yescharacteristic
57C2×#13093955C2211yescharacteristic
58C2×C4⋊(C47⋊C8)C2211yescharacteristic
59C2×Dic47⋊C8C2211yescharacteristic
60C2×Dic47⋊C8C2211yescharacteristic
61C2×#13093949C2211yescharacteristic
62C2×#13093947C2211yescharacteristic
63C2×#13093947C2211yescharacteristic
64C2×#13093946C2211yescharacteristic
65C2×#13093944C2211yescharacteristic
66C2×#13093944C2211yescharacteristic
67C2×#13093934C2211yescharacteristic
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×Dic94D411yescharacteristic
81C22×Dic94C2311yescharacteristic
82C22×D188C2311yescharacteristic
83C22×C4×D47—21no—
84C22×C4×D47—21no—
85C22×C4×D47—21no—
86C2×#10625325Q818yescomplemented
87C2×#10625325C2314yes—
88C22×C47⋊C8C2311yescharacteristic
89C22×C47⋊C8C2311yescharacteristic
90#13094023—28no—
91#13094023—22no—
92#13094023—22no—
93#13094023—22no—
94#13094023C2314yes—
95#13094023C2314yes—
96#13094023C2314yes—
97#13094022—28no—
98#13094022—28no—
99#13094015—22no—
100#13094015C2314yes—
101#13094004—28no—
102#13094002—28no—
103#13094002—28no—
104C4×Dic94—22no—
105C4×Dic94D414yes—
106C4×Dic94C2314yes—
107C4×Dic94C2314yes—
108#13093989—28no—
109#13093989—22no—
110#13093989—22no—
111#13093989C2314yes—
112#13093989C2314yes—
113C4×D188—22no—
114C4×D188C2314yes—
115#13093986—22no—
116#13093986—22no—
117#13093986C2314yes—
118#13093986C2314yes—
119C2×C4⋊Dic47—21no—
120C2×C4⋊Dic47D411yescharacteristic
121C2×C4⋊Dic47C2311yescharacteristic
122C2×C4⋊Dic47C2311yescharacteristic
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—28no—
133C2×(C2×D47)⋊C4—21no—
134C2×(C2×D47)⋊C4—21no—
135C2×(C2×D47)⋊C4—21no—
136C2×C4×Dic47—21no—
137C2×C4×Dic47—21no—
138C2×C4×Dic47—21no—
139C2×C4×Dic47C2311yescharacteristic
140C2×C4×Dic47C2311yescharacteristic
141#13093958C2314yes—
142#13093957C2314yes—
143#13093957C2314yes—
144#13093957C2314yes—
145#13093955C2314yes—
146C4⋊(C47⋊C8)C2314yes—
147Dic47⋊C8C2314yes—
148Dic47⋊C8C2314yes—
149#13093949C2314yes—
150#13093947C2314yes—
151#13093947C2314yes—
152#13093946C2314yes—
153#13093944C2314yes—
154#13093944C2314yes—
155#13093934C2314yes—
156C8×Dic47C2314yes—
157C22×Q8×C47—21no—
158C22×C8×C47C2311yescharacteristic
159C22×C8×C47C2311yescharacteristic
160C4⋊Q8×C47—22no—
161C4⋊Q8×C47C2314yes—
162#125×C47—22no—
163#125×C47C2314yes—
164C2×C4⋊C4×C47—21no—
165C2×C4⋊C4×C47—21no—
166C2×C4⋊C4×C47—21no—
167C2×C4⋊C4×C47C2311yescharacteristic
168C2×C4⋊C4×C47C2311yescharacteristic
169C2×C4⋊C4×C47C2311yescharacteristic
170C2×C4⋊C4×C47C2311yescharacteristic
171C2×C42×C47C2311yescharacteristic
172#107×C47C2314yes—
173#107×C47C2314yes—
174#106×C47C2314yes—
175#106×C47C2314yes—
176#97×C47C2314yes—
177C23×D47—21no—
178C2×Q8×C47—24no—
179C2×Q8×C47—82no—
180C22×C4×C47—21no—
181C22×C4×C47—21no—
182C22×C4×C47—21no—
183C22×C4×C47—21no—
184C22×C4×C47C2×D411yescharacteristic
185C22×C4×C47C2×D411yescharacteristic
186C22×C4×C47C2411yescharacteristic
187C22×Dic47—21no—
188C22×Dic47—21no—
189C22×Dic47—21no—
190C22×Dic47C2×D411yescharacteristic
191C22×Dic47C2×D411yescharacteristic
192C22×Dic47C2×D411yescharacteristic
193C22×Dic47C2×D411yescharacteristic
194C2×D188—21no—
195C2×D188—22no—
196C2×D188C2×Q814yes—
197C2×D188C2412yes—
198C2×C4×D47—24no—
199C2×C4×D47—24no—
200C2×C4×D47—24no—
201C2×C4×D47—44no—
202C2×C4×D47—82no—
203C2×C4×D47—82no—
204C2×Dic94—21no—
205C2×Dic94—22no—
206C2×Dic94—24no—
207C2×Dic94—24no—
208C2×Dic94—24no—
209C2×Dic94—24no—
210C2×Dic94—82no—
211C2×Dic94—82no—
212C2×Dic94—82no—
213C2×Dic94C2×D414yes—
214C2×Dic94C2×Q814yes—
215C2×Dic94C2412yes—
216C2×C8×C47—22no—
217C2×C8×C47C2×Q814yes—
218C2×C8×C47C2412yes—
219C2×C8×C47C2412yes—
220C4⋊C4×C47—24no—
221C4⋊C4×C47—24no—
222C4⋊C4×C47—24no—
223C4⋊C4×C47—21no—
224C4⋊C4×C47—21no—
225C4⋊C4×C47—21no—
226C4⋊C4×C47—21no—
227C4⋊C4×C47C2412yes—
228C4⋊C4×C47C2412yes—
229C4⋊C4×C47C2412yes—
230C4⋊C4×C47C2412yes—
231C42×C47C2×D412yes—
232C42×C47C2412yes—
233(C2×D47)⋊C4—24no—
234(C2×D47)⋊C4—24no—
235(C2×D47)⋊C4—24no—
236C4⋊Dic47—21no—
237C4⋊Dic47—21no—
238C4⋊Dic47—24no—
239C4⋊Dic47C2×D414yes—
240C4⋊Dic47C2412yes—
241C4⋊Dic47C2412yes—
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×Dic47—24no—
254C4×Dic47C2×D412yes—
255C4×Dic47C2×D412yes—
256C4×Dic47C2412yes—
257C4×Dic47C2412yes—
258C2×C47⋊C8—22no—
259C2×C47⋊C8—22no—
260C2×C47⋊C8C2412yes—
261C2×C47⋊C8C2412yes—
262#10625325C2×Q8116yescomplemented
263C23×C47C22×D411yescharacteristic
264C22×D47—24no—
265C22×D47—22no—
266C22×D47—42no—
267C22×D47—42no—
268Q8×C47—84no—
269C2×C4×C47—22no—
270C2×C4×C47—22no—
271C2×C4×C47—22no—
272C2×C4×C47—22no—
273C2×C4×C47—22no—
274C2×C4×C47—22no—
275C2×C4×C47—42no—
276C2×C4×C47—42no—
277C2×C4×C47—42no—
278C2×C4×C47—42no—
279C2×C4×C47C22×D412yes—
280C2×C4×C47C22×D412yes—
281C2×C4×C47C22×D411yescharacteristic
282C2×C4×C47C22×Q812yes—
283C2×C4×C472−1+412yes—
284C2×C4×C47C2511yescharacteristic
285C2×Dic47—24no—
286C2×Dic47—22no—
287C2×Dic47—22no—
288C2×Dic47—22no—
289C2×Dic47—22no—
290C2×Dic47—22no—
291C2×Dic47—22no—
292C2×Dic47—42no—
293C2×Dic47—42no—
294C2×Dic47#13714yes—
295C2×Dic47C22×D412yes—
296C2×Dic47C22×D412yes—
297C2×Dic47C22×D412yes—
298C2×Dic47C22×D412yes—
299D188—24no—
300D188—22no—
301D188C22×Q814yes—
302C4×D47—48no—
303C4×D47—84no—
304C4×D47—84no—
305Dic94—24no—
306Dic94—22no—
307Dic94—28no—
308Dic94—84no—
309Dic94—84no—
310Dic94—84no—
311Dic94C22×Q814yes—
312C8×C47—22no—
313C8×C47C22×Q814yes—
314C47⋊C8—22no—
315C47⋊C8—22no—
316C2×#3385—471nomaximal, Sylow
317C22×C47D4×Q812yes—
318C22×C47C2×#13712yes—
319C22×C47#57612yes—
320C22×C47C23×D411yescharacteristic
321C2×D47—24no—
322C2×D47—48no—
323C2×D47—42no—
324C2×D47—42no—
325C4×C47—22no—
326C4×C47—22no—
327C4×C47—42no—
328C4×C47—42no—
329C4×C47—42no—
330C4×C47—42no—
331C4×C47D4×Q812yes—
332C4×C47C23×Q811yescharacteristic
333C4×C47C2×2−1+411yescharacteristic
334Dic47—24no—
335Dic47—22no—
336Dic47—22no—
337Dic47—22no—
338Dic47—42no—
339Dic47—42no—
340Dic47C2×#13714yes—
341C2×Q82—471no—
342C2×#554—471no—
343#3385—4716no—
344C2×#501—471no—
345C2×#501D4711yescharacteristic, complemented
346C2×#500—471no—
347C2×#479—471no—
348C2×#479—471no—
349C2×#477—471no—
350C2×#476—471no—
351C2×#474—471no—
352C2×#474—471no—
353C2×#446—471no—
354C2×#440—471no—
355C2×#440—471no—
356C2×C4×SD16—471no—
357C2×C47#338514yescomplemented
358C2×C47C2×D4×Q811yescharacteristic
359C2×C47C22×#13711yescharacteristic
360C2×C47C2×#57611yescharacteristic
361D47—44no—
362C22×SD16—471no—
363Q82—478no—
364Q82—944no—
365#554—478no—
366#554—944no—
367C2×C4⋊Q8—471no—
368C2×C4⋊Q8—471no—
369C2×C4⋊Q8—471no—
370C2×C4⋊Q8—941no—
371C2×C4⋊Q8—941no—
372C2×C4⋊Q8—941no—
373C2×C4⋊Q8C2×D4711yescharacteristic
374C2×#125—471no—
375C2×#125C2×D4711yescharacteristic
376C2×C22⋊Q8—941no—
377C2×C22⋊Q8—941no—
378C2×C22⋊Q8—941no—
379C2×C4×Q8—471no—
380C2×C4×Q8—471no—
381C2×C4×Q8—471no—
382C2×C4×Q8—471no—
383C2×C4×Q8—941no—
384C2×C4×D4—471no—
385C2×C4×D4—471no—
386C2×C4×D4—471no—
387C22×C4⋊C4—941no—
388#501—478no—
389#501C2×D4718yescomplemented
390#500—478no—
391#479—478no—
392#479—478no—
393#477—478no—
394#476—478no—
395#474—478no—
396#474—478no—
397#446—478no—
398#440—478no—
399#440—478no—
400C4×SD16—478no—
401C2×#107—471no—
402C2×#107—471no—
403C2×#107—471no—
404C2×#107—471no—
405C2×#107C2×D4711yescharacteristic
406C2×#107C2×D4711yescharacteristic
407C2×#106—471no—
408C2×#106C2×D4711yescharacteristic
409C2×#106C2×D4711yescharacteristic
410C2×C4⋊C8—471no—
411C2×C4⋊C8—471no—
412C2×C4⋊C8—471no—
413C2×#103—471no—
414C2×#103—471no—
415C2×#103—471no—
416C2×#102—471no—
417C2×#102—471no—
418C2×#102—471no—
419C2×#97—471no—
420C2×#97C2×D4711yescharacteristic
421C2×C4×C8—471no—
422C47C2×#338511yescharacteristic, complemented, Sylow
423C22×Q8—21no—
424C22×Q8—471no—
425C22×Q8—471no—
426C22×Q8—941no—
427C22×Q8—941no—
428C22×Q8—941no—
429C22×D4—471no—
430C23×C4—941no—
431C23×C4—941no—
432C23×C4—941no—
433C2×SD16—478no—
434C2×SD16—474no—
435C22×C8—471no—
436C22×C8—471no—
437C22×C8C22×D4711yescharacteristic
438C22×C8C22×D4711yescharacteristic
439C4⋊Q8—22no—
440C4⋊Q8—474no—
441C4⋊Q8—474no—
442C4⋊Q8—474no—
443C4⋊Q8—942no—
444C4⋊Q8—942no—
445C4⋊Q8—942no—
446C4⋊Q8—948no—
447C4⋊Q8—948no—
448C4⋊Q8—948no—
449C4⋊Q8C22×D4714yes—
450#125—22no—
451#125—474no—
452#125—942no—
453#125C22×D4714yes—
454C22⋊Q8—948no—
455C22⋊Q8—948no—
456C22⋊Q8—948no—
457C4×Q8—474no—
458C4×Q8—474no—
459C4×Q8—474no—
460C4×Q8—474no—
461C4×Q8—474no—
462C4×Q8—942no—
463C4×Q8—942no—
464C4×Q8—948no—
465C4×Q8—942no—
466C4×D4—474no—
467C4×D4—474no—
468C4×D4—474no—
469C4×D4—942no—
470C4×D4—942no—
471C4×D4—942no—
472C2×C4⋊C4—21no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—471no—
476C2×C4⋊C4—471no—
477C2×C4⋊C4—471no—
478C2×C4⋊C4—471no—
479C2×C4⋊C4—471no—
480C2×C4⋊C4—948no—
481C2×C4⋊C4—941no—
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⋊C4C22×D4711yescharacteristic
490C2×C4⋊C4C22×D4711yescharacteristic
491C2×C4⋊C4C22×D4711yescharacteristic
492C2×C4⋊C4C22×D4711yescharacteristic
493C2×C22⋊C4—941no—
494C2×C22⋊C4—941no—
495C2×C22⋊C4—941no—
496C2×C42—471no—
497C2×C42—471no—
498C2×C42—941no—
499C2×C42—941no—
500C2×C42—941no—
501C2×C42C22×D4711yescharacteristic
502#107—474no—
503#107—474no—
504#107—474no—
505#107—474no—
506#107C22×D4714yes—
507#107C22×D4714yes—
508#106—474no—
509#106C22×D4714yes—
510#106C22×D4714yes—
511C4⋊C8—474no—
512C4⋊C8—474no—
513C4⋊C8—474no—
514#103—474no—
515#103—474no—
516#103—474no—
517#102—474no—
518#102—474no—
519#102—474no—
520#97—474no—
521#97C22×D4714yes—
522C4×C8—474no—
523C24—941no—
524C2×Q8—24no—
525C2×Q8—82no—
526C2×Q8—474no—
527C2×Q8—474no—
528C2×Q8—472no—
529C2×Q8—944no—
530C2×Q8—944no—
531C2×Q8—944no—
532C2×Q8—944no—
533C2×Q8—941no—
534C2×Q8—942no—
535C2×Q8—3762no—
536C2×Q8—3762no—
537C2×Q8—3762no—
538C2×D4—474no—
539C2×D4—472no—
540C2×D4—941no—
541C2×D4—942no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—471no—
547C22×C4—471no—
548C22×C4—471no—
549C22×C4—471no—
550C22×C4—944no—
551C22×C4—944no—
552C22×C4—941no—
553C22×C4—941no—
554C22×C4—941no—
555C22×C4—944no—
556C22×C4—3762no—
557C22×C4—3762no—
558C22×C4—1884no—
559C22×C4D4×D4711yescharacteristic
560C22×C4D4×D4711yescharacteristic
561C22×C4C23×D4711yescharacteristic
562SD16—4716no—
563C2×C8—22no—
564C2×C8—472no—
565C2×C8—472no—
566C2×C8—942no—
567C2×C8—942no—
568C2×C8Q8×D4714yes—
569C2×C8C23×D4712yes—
570C2×C8C23×D4712yes—
571C4⋊C4—24no—
572C4⋊C4—24no—
573C4⋊C4—24no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—474no—
579C4⋊C4—474no—
580C4⋊C4—474no—
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⋊C4C23×D4712yes—
594C4⋊C4C23×D4712yes—
595C4⋊C4C23×D4712yes—
596C4⋊C4C23×D4712yes—
597C22⋊C4—944no—
598C22⋊C4—944no—
599C22⋊C4—944no—
600C42—472no—
601C42—472no—
602C42—472no—
603C42—472no—
604C42—944no—
605C42—944no—
606C42—944no—
607C42D4×D4712yes—
608C42C23×D4712yes—
609C23—944no—
610C23—942no—
611C23—1882no—
612C23—1882no—
613C23C2×D4×D4711yescharacteristic
614Q8—84no—
615Q8—474no—
616Q8—948no—
617Q8—944no—
618Q8—942no—
619Q8—3764no—
620Q8—3764no—
621Q8—3764no—
622D4—474no—
623D4—944no—
624D4—942no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—474no—
636C2×C4—472no—
637C2×C4—472no—
638C2×C4—472no—
639C2×C4—472no—
640C2×C4—944no—
641C2×C4—942no—
642C2×C4—942no—
643C2×C4—942no—
644C2×C4—942no—
645C2×C4—942no—
646C2×C4—942no—
647C2×C4—3764no—
648C2×C4—3764no—
649C2×C4—1888no—
650C2×C4—1882no—
651C2×C4—1882no—
652C2×C4C2×D4×D4712yes—
653C2×C4C2×D4×D4712yes—
654C2×C4C2×D4×D4711yescharacteristic
655C2×C4C2×Q8×D4712yes—
656C2×C4#1309407212yes—
657C2×C4C24×D4711yescharacteristic
658C8—22no—
659C8—942no—
660C8—942no—
661C8C2×Q8×D4714yes—
662C22—944no—
663C22—1888no—
664C22—1882no—
665C22—1882no—
666C22#1568978812yes—
667C22#137×D4712yes—
668C22#1568992712yes—
669C22C22×D4×D4711yescharacteristic
670C4—22no—
671C4—22no—
672C4—42no—
673C4—42no—
674C4—42no—
675C4—42no—
676C4—474no—
677C4—942no—
678C4—942no—
679C4—942no—
680C4—944no—
681C4—1882no—
682C4—1882no—
683C4#1568978812yes—
684C4C22×Q8×D4711yescharacteristic
685C4C2×#1309407211yescharacteristic
686C2—1884no—
687C2#2025629514yesdirect product factor
688C2C2×#1568978811yescharacteristic
689C2C2×#137×D4711yescharacteristic
690C2C2×#1568992711yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#501C2
socleC23×C47C22×D4
prime radicalC22×D188C23
hypercenterC2×#501D47
hypocenterC47C2×#3385
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
1. C2×#15689853C2semidirect
3. #20256295C2direct (N × H)
4. C2×#15689530C2semidirect
5. C2×#15689527C2semidirect
6. C2×#15689433C2semidirect
7. C2×#15689427C2semidirect
8. C2×#15689417C2semidirect
12. C2×#15689251C2semidirect
16. C2×C47×#501C2semidirect
19. #15689853C22semidirect
41. #15689530C22semidirect
42. #15689527C22semidirect
43. #15689433C22semidirect
44. #15689427C22semidirect
45. #15689417C22semidirect
49. #15689251C22semidirect
71. C47×#501C22semidirect
86. C2×#10625325Q8semidirect
262. #10625325C2×Q8semidirect
345. C2×#501D47semidirect
357. C2×C47#3385semidirect
389. #501C2×D47semidirect
422. C47C2×#3385semidirect
687. C2#20256295direct (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×#156898292
#202562952
C2×#156895302
C2×#156895272
C2×#156894332
C2×#156894272
C2×#156894172
C2×#156894122
C2×#156894022
C2×#156894002
C2×#156892512
C2×#156892252
C2×#156892222
C2×#156892102
C2×C47×#5012
C2×#338547