Finite Group Databasebeta

← C2×#14542591 #17942506

Subgroups — C2×#14542591 #17942506

Order 4352.

6826 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542591C2132yesmaximal, direct product factor
2C2×Q8×Dic34C211yesmaximal, characteristic, complemented
3C2×#11763539C213yesmaximal, complemented
4C2×#11763537C213yesmaximal, complemented
5C2×#11763536C213yesmaximal, complemented
6C2×#11763536C213yesmaximal, complemented
7C2×#11763535C211yesmaximal, characteristic, complemented
8C2×#11763535C211yesmaximal, characteristic, complemented
9C2×#11763439C213yesmaximal
10C2×#11763436C213yesmaximal
11C2×#11763365C213yesmaximal
12C2×#11763363C213yesmaximal
13C2×#11763285C211yesmaximal, characteristic
14C2×#11763285C211yesmaximal, characteristic
15C2×C4×Q8×D17C211yesmaximal, characteristic
16C2×C17×#557C211yesmaximal, characteristic, complemented
17C22×Q8×D17C2211yescharacteristic
18Q8×Dic34C22116yescomplemented
19#11763539C22148yescomplemented
20#11763537C22148yescomplemented
21#11763536C22148yescomplemented
22#11763536C22148yescomplemented
23#11763535C22116yescomplemented
24#11763535C22116yescomplemented
25#11763439C22148yes—
26#11763436C22148yes—
27#11763365C22148yes—
28#11763363C22148yes—
29C2×#10587555C2213yes—
30C2×#10587574C2213yes—
31C2×#10587574C2213yes—
32C2×#10587574C2213yes—
33C2×#10587574C2216yes—
34C2×#10587574C2213yes—
35C2×#10587574C2213yes—
36C2×#10587630C2216yes—
37C2×#10587630C2213yes—
38C2×#10587556C2213yes—
39C2×#10587556C2213yes—
40C2×#10587576C2213yes—
41C2×#10587576C2213yes—
42C2×#10587575C2216yes—
43C2×#10587575C2213yes—
44C2×#10587575C2216yes—
45C2×#10587575C2213yes—
46C2×#10587583C2213yes—
47C2×#10587582C2216yes—
48C2×#10587582C2211yescharacteristic
49C2×#10587582C2213yes—
50C2×#10587632C2213yes—
51#11763285C22116yes—
52#11763285C22116yes—
53C2×Q8×Dic17C2211yescharacteristic
54C2×Q8×Dic17C2211yescharacteristic
55C2×Q8×Dic17C2211yescharacteristic
56C2×C4×Dic34C2213yes—
57C2×C4×Dic34C2213yes—
58C2×C4×Dic34C2213yes—
59C2×C4×Dic34C2213yes—
60C2×C4×Dic34C2213yes—
61C2×C4×Dic34C2213yes—
62C2×#10587573C2213yes—
63C2×#10587573C2216yes—
64C2×#10587573C2213yes—
65C2×#10587573C2213yes—
66C2×#10587573C2216yes—
67C4×Q8×D17C22116yes—
68C2×#10587578C2213yes—
69C2×#10587578C2213yes—
70C2×#10587558C2213yes—
71C2×#10587558C2213yes—
72C2×C4⋊C4×D17C2213yes—
73C2×C42×D17C2213yes—
74C17×#557C22116yescomplemented
75C2×C17×C4⋊Q8C2213yes—
76C2×C17×#125C2213yes—
77C2×C17×#125C2213yes—
78C2×C4×Q8×C17C2211yescharacteristic
79C2×C4×Q8×C17C2211yescharacteristic
80C2×C4×Q8×C17C2213yes—
81C2×C4×Q8×C17C2211yescharacteristic
82C22×Q8×C17C2313yes—
83C22×Q8×C17C2311yescharacteristic
84C2×Q8×D17Q8116yescomplemented
85C2×Q8×D17C2318yes—
86C22×C4×D17C2311yescharacteristic
87C22×C4×D17C2313yes—
88C22×C4×D17C2313yes—
89C22×Dic34C2313yes—
90C22×Dic34C2311yescharacteristic
91C22×Dic34C2316yes—
92C22×Dic34C2313yes—
93C22×Dic34C2313yes—
94C17×C4⋊Q8C23124yes—
95C17×#125C23124yes—
96C17×#125C23124yes—
97C4×Q8×C17C2318yes—
98C4×Q8×C17C2318yes—
99C4×Q8×C17C23124yes—
100C4×Q8×C17C2318yes—
101C2×C4⋊C4×C17C2311yescharacteristic
102C2×C4⋊C4×C17C2313yes—
103C2×C4⋊C4×C17C2313yes—
104C2×C4⋊C4×C17C2313yes—
105C2×C4⋊C4×C17C2313yes—
106C2×C4⋊C4×C17C2313yes—
107C2×C4⋊C4×C17C2316yes—
108C2×C42×C17C2313yes—
109C2×C42×C17C2313yes—
110C2×C42×C17C2313yes—
111#10587632C23124yes—
112Q8×Dic17C2318yes—
113Q8×Dic17C2318yes—
114Q8×Dic17C2318yes—
115#10587630C23148yes—
116#10587630C23124yes—
117C2×#63227C2311yescharacteristic
118C2×#63227C2311yescharacteristic
119C2×#63227C2313yes—
120C2×#63227C2313yes—
121C2×C4⋊Dic17C2313yes—
122C2×C4⋊Dic17C2313yes—
123C2×C4⋊Dic17C2313yes—
124C2×C4⋊Dic17C2313yes—
125C2×C4⋊Dic17C2313yes—
126C2×C4⋊Dic17C2313yes—
127C2×#63225C2316yes—
128C2×#63225C2313yes—
129C2×#63225C2313yes—
130C2×#63225C2313yes—
131C2×#63225C2313yes—
132C2×#63225C2313yes—
133C2×#63225C2313yes—
134C2×#63225C2316yes—
135C2×#63225C2316yes—
136C2×#63225C2311yescharacteristic
137C2×#63225C2311yescharacteristic
138C2×#63225C2313yes—
139C2×#63225C2313yes—
140C2×C4×Dic17C2313yes—
141C2×C4×Dic17C2313yes—
142C2×C4×Dic17C2313yes—
143C2×C4×Dic17C2313yes—
144C2×C4×Dic17C2313yes—
145C2×C4×Dic17C2316yes—
146C2×C4×Dic17C2316yes—
147#10587583C23124yes—
148#10587582C2318yes—
149#10587582C23124yes—
150#10587582C23148yes—
151#10587578C23124yes—
152#10587578C23124yes—
153C4⋊C4×D17C23124yes—
154#10587576C23124yes—
155#10587576C23124yes—
156#10587575C23124yes—
157#10587575C23148yes—
158#10587575C23148yes—
159#10587575C23124yes—
160#10587574C23124yes—
161#10587574C23124yes—
162#10587574C23124yes—
163#10587574C23148yes—
164#10587574C23124yes—
165#10587574C23124yes—
166#10587573C23124yes—
167#10587573C23124yes—
168#10587573C23148yes—
169#10587573C23124yes—
170#10587573C23148yes—
171#10587558C23124yes—
172#10587558C23124yes—
173C42×D17C23124yes—
174#10587556C23124yes—
175#10587556C23124yes—
176#10587555C23124yes—
177C4×Dic34C23124yes—
178C4×Dic34C23124yes—
179C4×Dic34C23124yes—
180C4×Dic34C23124yes—
181C4×Dic34C23124yes—
182C4×Dic34C23124yes—
183C23×D17C2411yescharacteristic
184C2×Q8×C17—46no—
185C2×Q8×C17C2×Q818yes—
186C2×Q8×C17C24112yes—
187C2×Q8×C17C2414yes—
188C22×C4×C17C2413yes—
189C22×C4×C17C2413yes—
190C22×C4×C17C2413yes—
191C22×C4×C17C2411yescharacteristic
192C22×C4×C17C2411yescharacteristic
193C22×C4×C17C2411yescharacteristic
194C22×C4×C17C2413yes—
195C22×Dic17C2413yes—
196C22×Dic17C2411yescharacteristic
197C22×Dic17C2413yes—
198C22×Dic17C2413yes—
199C22×Dic17C2411yescharacteristic
200C22×Dic17C2413yes—
201C22×Dic17C2411yescharacteristic
202Q8×D17C2×Q8164yescomplemented
203C2×C4×D17—24no—
204C2×C4×D17—46no—
205C2×C4×D17C2×Q8124yes—
206C2×C4×D17C2414yes—
207C2×C4×D17C24112yes—
208C2×C4×D17C24112yes—
209C2×Dic34—212no—
210C2×Dic34—24no—
211C2×Dic34—46no—
212C2×Dic34—412no—
213C2×Dic34C2×Q8124yes—
214C2×Dic34C2414yes—
215C2×Dic34C24112yes—
216C2×Dic34C24112yes—
217C2×Dic34C24124yes—
218C2×Dic34C24112yes—
219C4⋊C4×C17C24124yes—
220C4⋊C4×C17C24112yes—
221C4⋊C4×C17C24112yes—
222C4⋊C4×C17C24112yes—
223C4⋊C4×C17C24112yes—
224C4⋊C4×C17C24112yes—
225C4⋊C4×C17C2414yes—
226C42×C17C24112yes—
227C42×C17C24112yes—
228C42×C17C24112yes—
229#63227C2414yes—
230#63227C2414yes—
231#63227C24112yes—
232#63227C24112yes—
233C4⋊Dic17C24112yes—
234C4⋊Dic17C24112yes—
235C4⋊Dic17C24112yes—
236C4⋊Dic17C24112yes—
237C4⋊Dic17C24112yes—
238C4⋊Dic17C24112yes—
239#63225C2414yes—
240#63225C2414yes—
241#63225C24112yes—
242#63225C24112yes—
243#63225C24112yes—
244#63225C24112yes—
245#63225C24112yes—
246#63225C24124yes—
247#63225C24112yes—
248#63225C24124yes—
249#63225C24124yes—
250#63225C24112yes—
251#63225C24112yes—
252C4×Dic17C24112yes—
253C4×Dic17C24112yes—
254C4×Dic17C24112yes—
255C4×Dic17C24112yes—
256C4×Dic17C24124yes—
257C4×Dic17C24124yes—
258C4×Dic17C24112yes—
259C2×#3502—171nomaximal, Sylow
260C23×C17C2511yescharacteristic
261C22×D17—22no—
262C22×D17—22no—
263C22×D17C22×Q814yes—
264C22×D17C2512yes—
265Q8×C17—412no—
266Q8×C17C22×Q8116yes—
267C2×C4×C17—26no—
268C2×C4×C17—22no—
269C2×C4×C17—22no—
270C2×C4×C17—26no—
271C2×C4×C17—26no—
272C2×C4×C17—22no—
273C2×C4×C17C22×Q8112yes—
274C2×C4×C17C2512yes—
275C2×C4×C17C2512yes—
276C2×C4×C17C2512yes—
277C2×C4×C17C2516yes—
278C2×C4×C17C2516yes—
279C2×C4×C17C2516yes—
280C2×C4×C17C2516yes—
281C2×Dic17—26no—
282C2×Dic17—22no—
283C2×Dic17—22no—
284C2×Dic17—26no—
285C2×Dic17—26no—
286C2×Dic17C22×Q8112yes—
287C2×Dic172−1+414yes—
288C2×Dic17C2512yes—
289C2×Dic17C2516yes—
290C2×Dic17C2516yes—
291C2×Dic17C2512yes—
292C2×Dic17C2516yes—
293C2×Dic17C2516yes—
294C2×Dic17C2512yes—
295C4×D17—28no—
296C4×D17—412no—
297C4×D17C22×Q8148yes—
298Dic34—28no—
299Dic34—224no—
300Dic34—412no—
301Dic34—424no—
302Dic34C22×Q8148yes—
303#3502—1732no—
304C2×Q82—173no—
305C2×Q82—171no—
306C2×#557—173no—
307C2×#557—173no—
308C2×#557—171no—
309C2×#557—171no—
310C2×#557—173no—
311C2×#557D1711yescharacteristic, complemented
312C2×#544—173no—
313C2×#544—173no—
314C2×#533—173no—
315C2×#533—173no—
316C2×#519—171no—
317C2×#519—171no—
318C22×C4×Q8—171no—
319C22×C17C23×Q812yes—
320C22×C17C2×2−1+412yes—
321C22×C17#58512yes—
322C22×C17C2611yescharacteristic
323C2×D17—22no—
324C2×D17—22no—
325C2×D17—28no—
326C2×D17C23×Q814yes—
327C4×C17—22no—
328C4×C17—26no—
329C4×C17—22no—
330C4×C17—26no—
331C4×C17—26no—
332C4×C17—22no—
333C4×C17C23×Q8112yes—
334Dic17—22no—
335Dic17—26no—
336Dic17—22no—
337Dic17—26no—
338Dic17—26no—
339Dic17C23×Q8112yes—
340Dic17C2×2−1+414yes—
341C23×Q8—171no—
342Q82—1748no—
343Q82—1716no—
344#557—1748no—
345#557—1748no—
346#557—1716no—
347#557—1716no—
348#557—1748no—
349#557C2×D17116yescomplemented
350#544—1748no—
351#544—1748no—
352#533—1748no—
353#533—1748no—
354C2×C4⋊Q8—173no—
355C2×C4⋊Q8—176no—
356C2×C4⋊Q8—173no—
357C2×C4⋊Q8—173no—
358C2×C4⋊Q8—173no—
359C2×C4⋊Q8—176no—
360C2×C4⋊Q8—173no—
361C2×C4⋊Q8—173no—
362C2×C4⋊Q8—173no—
363C2×C4⋊Q8C2×D1713yes—
364C2×#125—173no—
365C2×#125—173no—
366C2×#125—176no—
367C2×#125—176no—
368C2×#125—173no—
369C2×#125—173no—
370C2×#125—173no—
371C2×#125—173no—
372C2×#125C2×D1713yes—
373C2×#125C2×D1713yes—
374C2×C22⋊Q8—173no—
375C2×C22⋊Q8—173no—
376C2×C22⋊Q8—171no—
377C2×C22⋊Q8—176no—
378C2×C22⋊Q8—173no—
379#519—1716no—
380#519—1716no—
381C2×C4×Q8—171no—
382C2×C4×Q8—171no—
383C2×C4×Q8—171no—
384C2×C4×Q8—1716no—
385C2×C4×Q8—173no—
386C2×C4×Q8—173no—
387C2×C4×Q8—173no—
388C2×C4×Q8—176no—
389C2×C4×Q8—176no—
390C2×C4×Q8—173no—
391C2×C4×Q8—173no—
392C2×C4×Q8—173no—
393C2×C4×Q8—173no—
394C2×C4×Q8—173no—
395C2×C4×Q8—173no—
396C2×C4×Q8C2×D1711yescharacteristic
397C2×C4×Q8C2×D1711yescharacteristic
398C2×C4×Q8C2×D1711yescharacteristic
399C2×C4×Q8C2×D1713yes—
400C2×#117—173no—
401C2×#117—173no—
402C2×#117—173no—
403C2×#117—173no—
404C22×C4⋊C4—173no—
405C22×C42—173no—
406C2×C17#350214yescomplemented
407C2×C17C24×Q811yescharacteristic
408C2×C17C22×2−1+411yescharacteristic
409C2×C17C2×#58511yescharacteristic
410D17—24no—
411C22×Q8—1716no—
412C22×Q8—178no—
413C22×Q8—173no—
414C22×Q8—173no—
415C22×Q8—171no—
416C22×Q8—173no—
417C22×Q8—176no—
418C22×Q8C22×D1713yes—
419C22×Q8C22×D1711yescharacteristic
420C23×C4—173no—
421C23×C4—171no—
422C23×C4—173no—
423C4⋊Q8—1724no—
424C4⋊Q8—1748no—
425C4⋊Q8—1724no—
426C4⋊Q8—1724no—
427C4⋊Q8—1724no—
428C4⋊Q8—1748no—
429C4⋊Q8—1724no—
430C4⋊Q8—1724no—
431C4⋊Q8—1724no—
432C4⋊Q8C22×D17124yes—
433#125—1724no—
434#125—1724no—
435#125—1748no—
436#125—1748no—
437#125—1724no—
438#125—1724no—
439#125—1724no—
440#125—1724no—
441#125C22×D17124yes—
442#125C22×D17124yes—
443C22⋊Q8—1724no—
444C22⋊Q8—1724no—
445C22⋊Q8—178no—
446C22⋊Q8—1748no—
447C22⋊Q8—1724no—
448C4×Q8—178no—
449C4×Q8—178no—
450C4×Q8—178no—
451C4×Q8—1724no—
452C4×Q8—1724no—
453C4×Q8—1724no—
454C4×Q8—1748no—
455C4×Q8—1748no—
456C4×Q8—1724no—
457C4×Q8—1724no—
458C4×Q8—1724no—
459C4×Q8—1724no—
460C4×Q8—1724no—
461C4×Q8—1724no—
462C4×Q8C22×D1718yes—
463C4×Q8C22×D1718yes—
464C4×Q8C22×D1718yes—
465C4×Q8C22×D17124yes—
466#117—1724no—
467#117—1724no—
468#117—1724no—
469#117—1724no—
470C2×C4⋊C4—176no—
471C2×C4⋊C4—173no—
472C2×C4⋊C4—173no—
473C2×C4⋊C4—173no—
474C2×C4⋊C4—173no—
475C2×C4⋊C4—173no—
476C2×C4⋊C4—173no—
477C2×C4⋊C4—173no—
478C2×C4⋊C4—173no—
479C2×C4⋊C4—171no—
480C2×C4⋊C4—173no—
481C2×C4⋊C4—171no—
482C2×C4⋊C4—176no—
483C2×C4⋊C4—173no—
484C2×C4⋊C4—176no—
485C2×C4⋊C4—173no—
486C2×C4⋊C4—173no—
487C2×C4⋊C4—173no—
488C2×C4⋊C4—173no—
489C2×C4⋊C4—1724no—
490C2×C4⋊C4C22×D1713yes—
491C2×C4⋊C4C22×D1713yes—
492C2×C4⋊C4C22×D1713yes—
493C2×C4⋊C4C22×D1713yes—
494C2×C4⋊C4C22×D1716yes—
495C2×C4⋊C4C22×D1711yescharacteristic
496C2×C4⋊C4C22×D1713yes—
497C2×C22⋊C4—173no—
498C2×C22⋊C4—171no—
499C2×C22⋊C4—173no—
500C2×C22⋊C4—171no—
501C2×C42—176no—
502C2×C42—176no—
503C2×C42—173no—
504C2×C42—173no—
505C2×C42—173no—
506C2×C42—173no—
507C2×C42—173no—
508C2×C42—1724no—
509C2×C42C22×D1713yes—
510C2×C42C22×D1713yes—
511C2×C42C22×D1713yes—
512C17C2×#350211yescharacteristic, complemented, Sylow
513C24—171no—
514C2×Q8—46no—
515C2×Q8—1764no—
516C2×Q8—1724no—
517C2×Q8—1712no—
518C2×Q8—1712no—
519C2×Q8—174no—
520C2×Q8—1712no—
521C2×Q8—1724no—
522C2×Q8—3412no—
523C2×Q8—344no—
524C2×Q8—686no—
525C2×Q8—6812no—
526C2×Q8Q8×D1718yes—
527C2×Q8C23×D17112yes—
528C2×Q8C23×D1714yes—
529C22×C4—173no—
530C22×C4—171no—
531C22×C4—1724no—
532C22×C4—1712no—
533C22×C4—171no—
534C22×C4—173no—
535C22×C4—171no—
536C22×C4—173no—
537C22×C4—173no—
538C22×C4—174no—
539C22×C4—1712no—
540C22×C4—344no—
541C22×C4—686no—
542C22×C4C23×D1711yescharacteristic
543C22×C4C23×D1713yes—
544C22×C4C23×D1713yes—
545C22×C4C23×D1713yes—
546C22×C4C23×D1711yescharacteristic
547C22×C4C23×D1711yescharacteristic
548C22×C4C23×D1713yes—
549C4⋊C4—1724no—
550C4⋊C4—1712no—
551C4⋊C4—1712no—
552C4⋊C4—1712no—
553C4⋊C4—1712no—
554C4⋊C4—1712no—
555C4⋊C4—1712no—
556C4⋊C4—1712no—
557C4⋊C4—1712no—
558C4⋊C4—174no—
559C4⋊C4—1712no—
560C4⋊C4—174no—
561C4⋊C4—1724no—
562C4⋊C4—1712no—
563C4⋊C4—1724no—
564C4⋊C4—1712no—
565C4⋊C4—1712no—
566C4⋊C4—1712no—
567C4⋊C4—1712no—
568C4⋊C4C23×D17112yes—
569C4⋊C4C23×D17112yes—
570C4⋊C4C23×D17112yes—
571C4⋊C4C23×D17112yes—
572C4⋊C4C23×D17124yes—
573C4⋊C4C23×D1714yes—
574C4⋊C4C23×D17112yes—
575C22⋊C4—1712no—
576C22⋊C4—174no—
577C22⋊C4—1712no—
578C22⋊C4—174no—
579C42—1712no—
580C42—1712no—
581C42—1712no—
582C42—1724no—
583C42—1724no—
584C42—1712no—
585C42—1712no—
586C42C23×D17112yes—
587C42C23×D17112yes—
588C42C23×D17112yes—
589C23—174no—
590C23—172no—
591C23—342no—
592C23—342no—
593C23C24×D1711yescharacteristic
594Q8—412no—
595Q8—1748no—
596Q8—3424no—
597Q8—348no—
598Q8—6812no—
599Q8—6824no—
600Q8C2×Q8×D17116yes—
601C2×C4—22no—
602C2×C4—26no—
603C2×C4—22no—
604C2×C4—26no—
605C2×C4—22no—
606C2×C4—26no—
607C2×C4—1712no—
608C2×C4—174no—
609C2×C4—176no—
610C2×C4—172no—
611C2×C4—1748no—
612C2×C4—172no—
613C2×C4—176no—
614C2×C4—172no—
615C2×C4—176no—
616C2×C4—176no—
617C2×C4—348no—
618C2×C4—342no—
619C2×C4—346no—
620C2×C4—346no—
621C2×C4—342no—
622C2×C4—346no—
623C2×C4—6812no—
624C2×C4C2×Q8×D17112yes—
625C2×C4C24×D1712yes—
626C2×C4C24×D1716yes—
627C2×C4C24×D1716yes—
628C2×C4C24×D1716yes—
629C2×C4C24×D1712yes—
630C2×C4C24×D1712yes—
631C2×C4C24×D1716yes—
632C22—174no—
633C22—342no—
634C22—342no—
635C22—348no—
636C22C22×Q8×D1712yes—
637C222−1+4×D1712yes—
638C22#1176364512yes—
639C22C25×D1711yescharacteristic
640C4—22no—
641C4—26no—
642C4—22no—
643C4—26no—
644C4—22no—
645C4—26no—
646C4—1712no—
647C4—174no—
648C4—342no—
649C4—346no—
650C4—346no—
651C4—342no—
652C4—346no—
653C4C22×Q8×D17112yes—
654C2—344no—
655C2#1454259114yesdirect product factor
656C2C23×Q8×D1711yescharacteristic
657C2C2×2−1+4×D1711yescharacteristic
658C2C2×#1176364511yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#557C2
socleC23×C17C25
prime radicalC23×D17C24
hypercenterC2×#557D17
hypocenterC17C2×#3502
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
1. #14542591C2direct (N × H)
2. C2×Q8×Dic34C2semidirect
3. C2×#11763539C2semidirect
4. C2×#11763537C2semidirect
5. C2×#11763536C2semidirect
6. C2×#11763536C2semidirect
7. C2×#11763535C2semidirect
8. C2×#11763535C2semidirect
16. C2×C17×#557C2semidirect
18. Q8×Dic34C22semidirect
19. #11763539C22semidirect
20. #11763537C22semidirect
21. #11763536C22semidirect
22. #11763536C22semidirect
23. #11763535C22semidirect
24. #11763535C22semidirect
74. C17×#557C22semidirect
84. C2×Q8×D17Q8semidirect
202. Q8×D17C2×Q8semidirect
311. C2×#557D17semidirect
349. #557C2×D17semidirect
406. C2×C17#3502semidirect
512. C17C2×#3502semidirect
655. C2#14542591direct (N × H)

Maximal subgroups

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

subgroupindex
#145425912
C2×Q8×Dic342
C2×#117635392
C2×#117635372
C2×#117635362
C2×#117635352
C2×#117634392
C2×#117634362
C2×#117633652
C2×#117633632
C2×#117632852
C2×C4×Q8×D172
C2×C17×#5572
C2×#350217