Finite Group Databasebeta

← C2×#21458554 #30559731

Subgroups — C2×#21458554 #30559731

Order 15616.

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×Q8×Dic122C211yesmaximal, characteristic, complemented
2C2×#16840481C211yesmaximal, characteristic
3#21458554C2116yesmaximal, direct product factor
4C2×#16840121C211yesmaximal, characteristic
5C2×#16840120C211yesmaximal, characteristic
6C2×#16840111C211yesmaximal, characteristic, complemented
7C2×#16840048C211yesmaximal, characteristic, complemented
8C2×#16840045C211yesmaximal, characteristic, complemented
9C2×#16840050C211yesmaximal, characteristic
10C2×#16839982C211yesmaximal, characteristic
11C2×#16839970C211yesmaximal, characteristic, complemented
12C2×#16839891C211yesmaximal, characteristic, complemented
13C2×#16839869C211yesmaximal, characteristic, complemented
14C2×#16839867C211yesmaximal, characteristic, complemented
15C2×SD16×Dic61C211yesmaximal, characteristic
16C2×C61×#464C211yesmaximal, characteristic
17C22×#11758202C2211yescharacteristic
18Q8×Dic122—24no—
19Q8×Dic122C2218yescomplemented
20#16840481—24no—
21#16840481C2218yes—
22C2×#14519777—21no—
23C2×#14519777C2211yescharacteristic
24C2×#14519776—21no—
25C2×#14519776—21no—
26C2×#14519776C2211yescharacteristic
27C2×#14519776C2211yescharacteristic
28C2×#14519775C2211yescharacteristic
29C2×#14519770—21no—
30C2×#14519770—21no—
31C2×#14519764C2211yescharacteristic
32C2×#14519754—21no—
33C2×Q8×Dic61C2211yescharacteristic
34C2×Q8×Dic61C2211yescharacteristic
35C2×Q8×Dic61C2211yescharacteristic
36C2×C4×Dic122—21no—
37C2×C4×Dic122C2211yescharacteristic
38C2×C4×Dic122C2211yescharacteristic
39C2×D4×Dic61C2211yescharacteristic
40C2×#14519733—21no—
41#16840121C2218yes—
42#16840120C2218yes—
43#16840111C2218yescomplemented
44#16840050C2218yes—
45#16840048C2218yescomplemented
46#16840045C2218yescomplemented
47#16839982C2218yes—
48#16839970C2218yescomplemented
49#16839891C2218yescomplemented
50#16839869C2218yescomplemented
51#16839867C2218yescomplemented
52SD16×Dic61C2218yes—
53C2×#14519709C2211yescharacteristic
54C2×#14519709C2211yescharacteristic
55C2×#14519708C2211yescharacteristic
56C2×#14519706C2211yescharacteristic
57C2×#14519706C2211yescharacteristic
58C2×#14519702C2211yescharacteristic
59C2×#14519702C2211yescharacteristic
60C2×#14519701C2211yescharacteristic
61C2×#14519701C2211yescharacteristic
62C2×#14519701C2211yescharacteristic
63C2×#14519700C2211yescharacteristic
64C2×#14519698C2211yescharacteristic
65C2×#14519698C2211yescharacteristic
66C2×#14519688C2211yescharacteristic
67C2×#14519687C2211yescharacteristic
68C2×C8×Dic61C2211yescharacteristic
69C22×Q16×C61C2211yescharacteristic
70C22×SD16×C61C2211yescharacteristic
71C2×#124×C61C2211yescharacteristic
72C2×C4×Q8×C61C2211yescharacteristic
73C61×#464C2218yes—
74C2×C4⋊C8×C61C2211yescharacteristic
75C2×#103×C61C2211yescharacteristic
76C2×#102×C61C2211yescharacteristic
77C22×Dic122—21no—
78C22×Dic122—21no—
79C22×Dic122—21no—
80C22×Dic122D411yescharacteristic
81C22×Dic122C2311yescharacteristic
82C23×Dic61—21no—
83C2×#11758202—24no—
84C2×#11758202C2314yes—
85C22×#92418C2311yescharacteristic
86C22×#92418C2311yescharacteristic
87#14519777—22no—
88#14519777—28no—
89#14519777C2314yes—
90#14519776—28no—
91#14519776—28no—
92#14519776—22no—
93#14519776—22no—
94#14519776C2314yes—
95#14519776C2314yes—
96#14519775—22no—
97#14519775C2314yes—
98#14519770—28no—
99#14519770—28no—
100#14519764—22no—
101#14519764C2314yes—
102#14519754—28no—
103Q8×Dic61—22no—
104Q8×Dic61—22no—
105Q8×Dic61—22no—
106Q8×Dic61C2314yes—
107Q8×Dic61C2314yes—
108Q8×Dic61C2314yes—
109C4×Dic122—28no—
110C4×Dic122—22no—
111C4×Dic122D414yes—
112C4×Dic122C2314yes—
113C4×Dic122C2314yes—
114D4×Dic61—22no—
115D4×Dic61C2314yes—
116#14519733—28no—
117C2×C4⋊Dic61—21no—
118C2×C4⋊Dic61—21no—
119C2×C4⋊Dic61—21no—
120C2×C4⋊Dic61—21no—
121C2×C4⋊Dic61D411yescharacteristic
122C2×C4⋊Dic61C2311yescharacteristic
123C2×C4⋊Dic61C2311yescharacteristic
124C2×C4⋊Dic61C2311yescharacteristic
125C2×#11758196—21no—
126C2×#11758196—21no—
127C2×#11758196—21no—
128C2×#11758196—21no—
129C2×#11758196—21no—
130C2×#11758196D411yescharacteristic
131C2×#11758196D411yescharacteristic
132C2×C22⋊Dic61—21no—
133C2×C22⋊Dic61—21no—
134C2×C22⋊Dic61—21no—
135C2×C4×Dic61—21no—
136C2×C4×Dic61—21no—
137C2×C4×Dic61—21no—
138C2×C4×Dic61—21no—
139C2×C4×Dic61C2311yescharacteristic
140C2×C4×Dic61C2311yescharacteristic
141#14519709C2314yes—
142#14519709C2314yes—
143#14519708C2314yes—
144#14519706C2314yes—
145#14519706C2314yes—
146#14519702C2314yes—
147#14519702C2314yes—
148#14519701C2314yes—
149#14519701C2314yes—
150#14519701C2314yes—
151#14519700C2314yes—
152#14519698C2314yes—
153#14519698C2314yes—
154#14519688C2314yes—
155#14519687C2314yes—
156C8×Dic61C2314yes—
157C22×Q8×C61C2311yescharacteristic
158C22×Q8×C61C2311yescharacteristic
159C22×D4×C61C2311yescharacteristic
160C2×Q16×C61—24no—
161C2×Q16×C61C2314yes—
162C2×SD16×C61—24no—
163C2×SD16×C61C2314yes—
164C22×C8×C61C2311yescharacteristic
165C22×C8×C61C2311yescharacteristic
166#124×C61—22no—
167#124×C61C2314yes—
168C4×Q8×C61—22no—
169C4×Q8×C61C2314yes—
170C2×C4⋊C4×C61—21no—
171C2×C4⋊C4×C61C2311yescharacteristic
172C2×C22⋊C4×C61—21no—
173C2×C22⋊C4×C61—21no—
174C2×C42×C61—21no—
175C2×C42×C61C2311yescharacteristic
176C4⋊C8×C61C2314yes—
177#103×C61C2314yes—
178#102×C61C2314yes—
179C24×C61—21no—
180C2×Q8×C61—21no—
181C2×Q8×C61—21no—
182C2×Q8×C61—22no—
183C2×Q8×C61—22no—
184C2×Q8×C61—22no—
185C2×Q8×C61#4114yes—
186C2×Q8×C61C2412yes—
187C2×Q8×C61C2412yes—
188C2×D4×C61—21no—
189C2×D4×C61—22no—
190C2×D4×C61—22no—
191C2×D4×C61C2412yes—
192C22×C4×C61—21no—
193C22×C4×C61—21no—
194C22×C4×C61—21no—
195C22×C4×C61C2×D411yescharacteristic
196C22×C4×C61C2×D411yescharacteristic
197C22×C4×C61C2411yescharacteristic
198C22×Dic61—21no—
199C22×Dic61—21no—
200C22×Dic61—21no—
201C22×Dic61—21no—
202C22×Dic61—24no—
203C22×Dic61—44no—
204C22×Dic61C2×D411yescharacteristic
205C22×Dic61C2×D411yescharacteristic
206C22×Dic61C2×D411yescharacteristic
207C22×Dic61C2×D411yescharacteristic
208C2×Dic122—24no—
209C2×Dic122—22no—
210C2×Dic122—22no—
211C2×Dic122—21no—
212C2×Dic122—24no—
213C2×Dic122—24no—
214C2×Dic122—24no—
215C2×Dic122—82no—
216C2×Dic122—82no—
217C2×Dic122—82no—
218C2×Dic122C2×D414yes—
219C2×Dic122C2412yes—
220Q16×C61—28no—
221SD16×C61—28no—
222C2×C8×C61—22no—
223C2×C8×C61—22no—
224C2×C8×C61C2412yes—
225C2×C8×C61C2412yes—
226C4⋊C4×C61—24no—
227C4⋊C4×C61—21no—
228C4⋊C4×C61C2412yes—
229C22⋊C4×C61—24no—
230C22⋊C4×C61—24no—
231C42×C61—24no—
232C42×C61C2×D412yes—
233C42×C61C2412yes—
234C22⋊Dic61—24no—
235C22⋊Dic61—24no—
236C22⋊Dic61—24no—
237#11758202—28no—
238C4⋊Dic61—24no—
239C4⋊Dic61—21no—
240C4⋊Dic61—21no—
241C4⋊Dic61—21no—
242C4⋊Dic61—24no—
243C4⋊Dic61—24no—
244C4⋊Dic61—24no—
245C4⋊Dic61C2×D414yes—
246C4⋊Dic61C2412yes—
247C4⋊Dic61C2412yes—
248C4⋊Dic61C2412yes—
249#11758196—24no—
250#11758196—24no—
251#11758196—24no—
252#11758196—24no—
253#11758196—24no—
254#11758196C2×D414yes—
255#11758196C2×D414yes—
256C4×Dic61—24no—
257C4×Dic61—24no—
258C4×Dic61—24no—
259C4×Dic61—24no—
260C4×Dic61C2×D412yes—
261C4×Dic61C2×D412yes—
262C4×Dic61C2412yes—
263C4×Dic61C2412yes—
264C2×#92418—22no—
265C2×#92418—22no—
266C2×#92418C2412yes—
267C2×#92418C2412yes—
268C23×C61—22no—
269C23×C61—42no—
270C23×C61—42no—
271C23×C61—42no—
272C23×C61C22×D411yescharacteristic
273Q8×C61—24no—
274Q8×C61—22no—
275Q8×C61—22no—
276Q8×C61—22no—
277Q8×C61—42no—
278Q8×C61C2×#4114yes—
279D4×C61—22no—
280D4×C61—22no—
281D4×C61—42no—
282C2×C4×C61—24no—
283C2×C4×C61—22no—
284C2×C4×C61—22no—
285C2×C4×C61—22no—
286C2×C4×C61—22no—
287C2×C4×C61—22no—
288C2×C4×C61—42no—
289C2×C4×C61—42no—
290C2×C4×C61C22×D412yes—
291C2×C4×C61C22×D412yes—
292C2×C4×C61C22×D411yescharacteristic
293C2×C4×C61C2×#4112yes—
294C2×C4×C612−1+412yes—
295C2×C4×C61C2511yescharacteristic
296C2×Dic61—22no—
297C2×Dic61—22no—
298C2×Dic61—22no—
299C2×Dic61—22no—
300C2×Dic61—22no—
301C2×Dic61—22no—
302C2×Dic61—22no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306C2×Dic61—42no—
307C2×Dic61—48no—
308C2×Dic61#13714yes—
309C2×Dic61C22×D412yes—
310C2×Dic61C22×D412yes—
311C2×Dic61C22×D412yes—
312C2×Dic61C22×D412yes—
313Dic122—28no—
314Dic122—22no—
315Dic122—22no—
316Dic122—42no—
317Dic122—84no—
318Dic122—84no—
319Dic122—84no—
320C8×C61—22no—
321C8×C61—22no—
322#92418—22no—
323#92418—22no—
324C2×#3369—611nomaximal, Sylow
325C22×C61—42no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61—84no—
329C22×C61#54812yes—
330C22×C61C2×#13712yes—
331C22×C61#57712yes—
332C22×C61C23×D411yescharacteristic
333C4×C61—24no—
334C4×C61—22no—
335C4×C61—22no—
336C4×C61—42no—
337C4×C61—42no—
338C4×C61#54812yes—
339C4×C61C22×#4111yescharacteristic
340C4×C61C2×2−1+411yescharacteristic
341Dic61—22no—
342Dic61—22no—
343Dic61—22no—
344Dic61—42no—
345Dic61—42no—
346Dic61—42no—
347Dic61—42no—
348Dic61C2×#13714yes—
349C2×Q82—611no—
350C2×#556—611no—
351#3369—6116no—
352C2×#489—611no—
353C2×#489—611no—
354C2×#487—611no—
355C2×#475—611no—
356C2×#475—611no—
357C2×#476—611no—
358C2×#464—611no—
359C2×#464D6111yescharacteristic
360C2×#462—611no—
361C2×#446—611no—
362C2×#441—611no—
363C2×#441—611no—
364C2×C4×SD16—611no—
365C2×C61—82no—
366C2×C61#336914yescomplemented
367C2×C61C2×#54811yescharacteristic
368C2×C61C22×#13711yescharacteristic
369C2×C61C2×#57711yescharacteristic
370C22×Q16—611no—
371C22×Q16C2×D6111yescharacteristic
372C22×SD16C2×D6111yescharacteristic
373Q82—618no—
374Q82—1224no—
375#556—618no—
376#556—1224no—
377C2×C4⋊Q8—611no—
378C2×C4⋊Q8—611no—
379C2×C4⋊Q8—611no—
380C2×C4⋊Q8—611no—
381C2×C4⋊Q8—1221no—
382C2×C4⋊Q8—1221no—
383C2×C4⋊Q8—1221no—
384C2×#126—1221no—
385C2×#126—1221no—
386C2×#124—611no—
387C2×#124C2×D6111yescharacteristic
388C2×C22⋊Q8—1221no—
389C2×C4×Q8—611no—
390C2×C4×Q8—611no—
391C2×C4×Q8—611no—
392C2×C4×Q8—611no—
393C2×C4×Q8—611no—
394C2×C4×Q8—1221no—
395C2×C4×Q8C2×D6111yescharacteristic
396C2×C4×D4—611no—
397C2×#117—1221no—
398#489—618no—
399#489—618no—
400#487—618no—
401#476—618no—
402#475—618no—
403#475—618no—
404#464—618no—
405#464C2×D6118yes—
406#462—618no—
407#446—618no—
408#441—618no—
409#441—618no—
410C4×SD16—618no—
411C2×#106—611no—
412C2×#106—611no—
413C2×#106—611no—
414C2×C4⋊C8—611no—
415C2×C4⋊C8—611no—
416C2×C4⋊C8C2×D6111yescharacteristic
417C2×#103—611no—
418C2×#103—611no—
419C2×#103—611no—
420C2×#103—611no—
421C2×#103—611no—
422C2×#103—611no—
423C2×#103C2×D6111yescharacteristic
424C2×#102—611no—
425C2×#102—611no—
426C2×#102C2×D6111yescharacteristic
427C2×#97—611no—
428C2×#97—611no—
429C2×C4×C8—611no—
430C61C2×#336911yescharacteristic, complemented, Sylow
431C22×Q8—611no—
432C22×Q8—611no—
433C22×Q8—1221no—
434C22×Q8—1221no—
435C22×Q8—1221no—
436C22×Q8C22×D6111yescharacteristic
437C22×Q8C22×D6111yescharacteristic
438C22×D4C22×D6111yescharacteristic
439C23×C4—1221no—
440C2×Q16—24no—
441C2×Q16—614no—
442C2×Q16—1224no—
443C2×Q16C22×D6114yes—
444C2×SD16—24no—
445C2×SD16C22×D6114yes—
446C22×C8—611no—
447C22×C8—611no—
448C22×C8C22×D6111yescharacteristic
449C22×C8C22×D6111yescharacteristic
450C4⋊Q8—614no—
451C4⋊Q8—614no—
452C4⋊Q8—614no—
453C4⋊Q8—614no—
454C4⋊Q8—1228no—
455C4⋊Q8—1222no—
456C4⋊Q8—1222no—
457C4⋊Q8—1222no—
458C4⋊Q8—1228no—
459C4⋊Q8—1228no—
460C4⋊Q8—1222no—
461#126—1228no—
462#126—1228no—
463#124—22no—
464#124—614no—
465#124—1222no—
466#124C22×D6114yes—
467C22⋊Q8—1228no—
468C4×Q8—22no—
469C4×Q8—614no—
470C4×Q8—614no—
471C4×Q8—614no—
472C4×Q8—614no—
473C4×Q8—614no—
474C4×Q8—614no—
475C4×Q8—1228no—
476C4×Q8—1222no—
477C4×Q8—1222no—
478C4×Q8—1222no—
479C4×Q8—1222no—
480C4×Q8C22×D6114yes—
481C4×D4—614no—
482C4×D4—1222no—
483#117—1228no—
484C2×C4⋊C4—21no—
485C2×C4⋊C4—611no—
486C2×C4⋊C4—611no—
487C2×C4⋊C4—611no—
488C2×C4⋊C4—611no—
489C2×C4⋊C4—611no—
490C2×C4⋊C4—611no—
491C2×C4⋊C4—1221no—
492C2×C4⋊C4—1221no—
493C2×C4⋊C4—1221no—
494C2×C4⋊C4—1221no—
495C2×C4⋊C4—1221no—
496C2×C4⋊C4—1221no—
497C2×C4⋊C4—1221no—
498C2×C4⋊C4—1221no—
499C2×C4⋊C4—1221no—
500C2×C4⋊C4C22×D6111yescharacteristic
501C2×C22⋊C4—21no—
502C2×C22⋊C4—21no—
503C2×C22⋊C4—1221no—
504C2×C22⋊C4—1221no—
505C2×C22⋊C4—1221no—
506C2×C42—21no—
507C2×C42—611no—
508C2×C42—611no—
509C2×C42—1221no—
510C2×C42—1221no—
511C2×C42—1221no—
512C2×C42—1221no—
513C2×C42C22×D6111yescharacteristic
514#106—614no—
515#106—614no—
516#106—614no—
517C4⋊C8—614no—
518C4⋊C8—614no—
519C4⋊C8C22×D6114yes—
520#103—614no—
521#103—614no—
522#103—614no—
523#103—614no—
524#103—614no—
525#103—614no—
526#103C22×D6114yes—
527#102—614no—
528#102—614no—
529#102C22×D6114yes—
530#97—614no—
531#97—614no—
532C4×C8—614no—
533C24—21no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—22no—
537C2×Q8—22no—
538C2×Q8—22no—
539C2×Q8—614no—
540C2×Q8—612no—
541C2×Q8—1224no—
542C2×Q8—1224no—
543C2×Q8—1224no—
544C2×Q8—1224no—
545C2×Q8—1221no—
546C2×Q8—1222no—
547C2×Q8—1222no—
548C2×Q8—4882no—
549C2×Q8—4882no—
550C2×Q8—4882no—
551C2×Q8#1175822414yes—
552C2×Q8C23×D6112yes—
553C2×Q8C23×D6112yes—
554C2×D4—21no—
555C2×D4—22no—
556C2×D4—22no—
557C2×D4C23×D6112yes—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—611no—
562C22×C4—611no—
563C22×C4—611no—
564C22×C4—611no—
565C22×C4—1224no—
566C22×C4—1221no—
567C22×C4—1221no—
568C22×C4—1221no—
569C22×C4—1221no—
570C22×C4—2444no—
571C22×C4D4×D6111yescharacteristic
572C22×C4D4×D6111yescharacteristic
573C22×C4C23×D6111yescharacteristic
574Q16—28no—
575Q16—1228no—
576SD16—28no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—612no—
580C2×C8—612no—
581C2×C8—1222no—
582C2×C8—1222no—
583C2×C8C23×D6112yes—
584C2×C8C23×D6112yes—
585C4⋊C4—24no—
586C4⋊C4—21no—
587C4⋊C4—614no—
588C4⋊C4—614no—
589C4⋊C4—614no—
590C4⋊C4—612no—
591C4⋊C4—612no—
592C4⋊C4—612no—
593C4⋊C4—1224no—
594C4⋊C4—1224no—
595C4⋊C4—1224no—
596C4⋊C4—1224no—
597C4⋊C4—1224no—
598C4⋊C4—1224no—
599C4⋊C4—1224no—
600C4⋊C4—1221no—
601C4⋊C4—1221no—
602C4⋊C4—1221no—
603C4⋊C4—1224no—
604C4⋊C4—1224no—
605C4⋊C4C23×D6112yes—
606C22⋊C4—24no—
607C22⋊C4—24no—
608C22⋊C4—1224no—
609C22⋊C4—1224no—
610C22⋊C4—1224no—
611C42—24no—
612C42—612no—
613C42—612no—
614C42—612no—
615C42—612no—
616C42—1224no—
617C42—1224no—
618C42—1224no—
619C42—1224no—
620C42D4×D6112yes—
621C42C23×D6112yes—
622C23—22no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23C2×D4×D6111yescharacteristic
627Q8—22no—
628Q8—24no—
629Q8—22no—
630Q8—22no—
631Q8—42no—
632Q8—1228no—
633Q8—1222no—
634Q8—1222no—
635Q8—4884no—
636Q8—4884no—
637Q8—4884no—
638Q8—2442no—
639Q8C2×#1175822414yes—
640D4—22no—
641D4—22no—
642D4—42no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—614no—
652C2×C4—612no—
653C2×C4—612no—
654C2×C4—612no—
655C2×C4—612no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—2448no—
664C2×C4—2442no—
665C2×C4—2442no—
666C2×C4—2442no—
667C2×C4—2442no—
668C2×C4C2×D4×D6112yes—
669C2×C4C2×D4×D6112yes—
670C2×C4C2×D4×D6111yescharacteristic
671C2×C4C2×#1175822412yes—
672C2×C4#1451982412yes—
673C2×C4C24×D6111yescharacteristic
674C8—22no—
675C8—22no—
676C8—1222no—
677C8—1222no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—84no—
682C22#1684041812yes—
683C22#137×D6112yes—
684C22#1684056912yes—
685C22C22×D4×D6111yescharacteristic
686C4—22no—
687C4—24no—
688C4—22no—
689C4—42no—
690C4—42no—
691C4—614no—
692C4—1222no—
693C4—1222no—
694C4—1222no—
695C4—2442no—
696C4—2442no—
697C4—2442no—
698C4—2442no—
699C4#1684041812yes—
700C4C22×#1175822411yescharacteristic
701C4C2×#1451982411yescharacteristic
702C2—82no—
703C2#2145855414yesdirect product factor
704C2C2×#1684041811yescharacteristic
705C2C2×#137×D6111yescharacteristic
706C2C2×#1684056911yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#464C2
socleC23×C61C22×D4
prime radicalC22×D4×C61C23
hypercenterC2×#464D61
hypocenterC61C2×#3369
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#464

Complements

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

NH ≅ G/Ntype
1. C2×Q8×Dic122C2semidirect
3. #21458554C2direct (N × H)
6. C2×#16840111C2semidirect
7. C2×#16840048C2semidirect
8. C2×#16840045C2semidirect
11. C2×#16839970C2semidirect
12. C2×#16839891C2semidirect
13. C2×#16839869C2semidirect
14. C2×#16839867C2semidirect
19. Q8×Dic122C22semidirect
43. #16840111C22semidirect
45. #16840048C22semidirect
46. #16840045C22semidirect
48. #16839970C22semidirect
49. #16839891C22semidirect
50. #16839869C22semidirect
51. #16839867C22semidirect
366. C2×C61#3369semidirect
430. C61C2×#3369semidirect
703. C2#21458554direct (N × H)

Maximal subgroups

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

subgroupindex
C2×Q8×Dic1222
C2×#168404812
#214585542
C2×#168401212
C2×#168401202
C2×#168401112
C2×#168400482
C2×#168400452
C2×#168400502
C2×#168399822
C2×#168399702
C2×#168398912
C2×#168398692
C2×#168398672
C2×SD16×Dic612
C2×C61×#4642
C2×#336961