Finite Group Databasebeta

← C2×#14541626 #17914121

Subgroups — C2×#14541626 #17914121

Order 4352.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763532C211yesmaximal, characteristic
2#14541626C2116yesmaximal, direct product factor
3C2×#11763179C211yesmaximal, characteristic, complemented
4C2×#11763171C211yesmaximal, characteristic
5C2×#11763166C211yesmaximal, characteristic
6C2×#11763113C211yesmaximal, characteristic, complemented
7C2×#11763101C211yesmaximal, characteristic, complemented
8C2×#11763106C211yesmaximal, characteristic
9C2×#11763031C211yesmaximal, characteristic
10C2×#11763031C211yesmaximal, characteristic
11C2×#11763019C211yesmaximal, characteristic, complemented
12C2×#11762940C211yesmaximal, characteristic, complemented
13C2×#11762914C211yesmaximal, characteristic, complemented
14C2×#11762907C211yesmaximal, characteristic
15C2×C4×#63231C211yesmaximal, characteristic, complemented
16C2×C17×#557C211yesmaximal, characteristic, complemented
17C22×#63231C2211yescharacteristic
18C22×#63231C2211yescharacteristic
19C22×#63230C2211yescharacteristic
20#11763532—24no—
21#11763532C2218yes—
22C2×#10587555C2211yescharacteristic
23C2×#10587584—21no—
24C2×#10587584—21no—
25C2×#10587561C2211yescharacteristic
26C2×#10587561C2211yescharacteristic
27C2×#10587632—21no—
28C2×C4×Dic34C2211yescharacteristic
29C2×C4×Dic34C2211yescharacteristic
30C2×C4×D68C2211yescharacteristic
31C2×#10587578—21no—
32#11763179C2218yescomplemented
33#11763171C2218yes—
34#11763166C2218yes—
35#11763113C2218yescomplemented
36#11763106C2218yes—
37#11763101C2218yescomplemented
38#11763031C2218yes—
39#11763031C2218yes—
40#11763019C2218yescomplemented
41#11762940C2218yescomplemented
42#11762914C2218yescomplemented
43#11762907C2218yes—
44C4×#63231C2218yescomplemented
45C2×#10587478C2211yescharacteristic
46C2×#10587478C2211yescharacteristic
47C2×#10587479C2211yescharacteristic
48C2×C4⋊#3622C2211yescharacteristic
49C2×C4⋊#3622C2211yescharacteristic
50C2×C4⋊#3622C2211yescharacteristic
51C2×#10587506C2211yescharacteristic
52C2×#10587481C2211yescharacteristic
53C2×#10587481C2211yescharacteristic
54C2×#10587481C2211yescharacteristic
55C2×#10587481C2211yescharacteristic
56C2×#10587481C2211yescharacteristic
57C2×#10587481C2211yescharacteristic
58C2×#10587480C2211yescharacteristic
59C2×#10587480C2211yescharacteristic
60C2×#10587480C2211yescharacteristic
61C2×#10587474C2211yescharacteristic
62C2×#10587474C2211yescharacteristic
63C2×C4×#3622C2211yescharacteristic
64C17×#557—24no—
65C17×#557C2218yescomplemented
66C2×C17×C4⋊Q8—21no—
67C2×C17×C4⋊Q8C2211yescharacteristic
68C2×C17×#125—21no—
69C2×C17×#125—21no—
70C2×C17×#125C2211yescharacteristic
71C2×C17×#125C2211yescharacteristic
72C2×C4×Q8×C17—21no—
73C2×C4×Q8×C17C2211yescharacteristic
74C2×C4×Q8×C17C2211yescharacteristic
75C2×C4×Q8×C17C2211yescharacteristic
76C2×C4×Q8×C17C2211yescharacteristic
77C22×Q8×C17—21no—
78C22×Q8×C17D411yescharacteristic
79C22×Q8×C17C2311yescharacteristic
80C22×D68C2311yescharacteristic
81C22×C4×D17—21no—
82C22×Dic34C2311yescharacteristic
83C22×Dic34C2311yescharacteristic
84C17×C4⋊Q8—28no—
85C17×C4⋊Q8—22no—
86C17×C4⋊Q8C2314yes—
87C17×#125—28no—
88C17×#125—28no—
89C17×#125—22no—
90C17×#125—22no—
91C17×#125C2314yes—
92C17×#125C2314yes—
93C4×Q8×C17—28no—
94C4×Q8×C17—22no—
95C4×Q8×C17—22no—
96C4×Q8×C17—22no—
97C4×Q8×C17D414yes—
98C4×Q8×C17C2314yes—
99C4×Q8×C17C2314yes—
100C4×Q8×C17C2314yes—
101C4×Q8×C17C2314yes—
102C2×C4⋊C4×C17—21no—
103C2×C4⋊C4×C17—21no—
104C2×C4⋊C4×C17—21no—
105C2×C4⋊C4×C17—21no—
106C2×C4⋊C4×C17—21no—
107C2×C4⋊C4×C17—21no—
108C2×C4⋊C4×C17—21no—
109C2×C4⋊C4×C17—21no—
110C2×C4⋊C4×C17D411yescharacteristic
111C2×C4⋊C4×C17D411yescharacteristic
112C2×C4⋊C4×C17D411yescharacteristic
113C2×C4⋊C4×C17C2311yescharacteristic
114C2×C4⋊C4×C17C2311yescharacteristic
115C2×C4⋊C4×C17C2311yescharacteristic
116C2×C42×C17—21no—
117C2×C42×C17—21no—
118C2×C42×C17—21no—
119C2×C42×C17C2311yescharacteristic
120C2×C42×C17C2311yescharacteristic
121C2×C42×C17C2311yescharacteristic
122#10587632—28no—
123C2×#63231—24no—
124C2×#63231—24no—
125C2×#63231C2314yes—
126C2×#63231C2314yes—
127C2×#63230—24no—
128C2×#63230C2314yes—
129C2×#63227—21no—
130C2×#63227—21no—
131C2×#63227—21no—
132C2×#63227—21no—
133C2×#63227—21no—
134C2×C4⋊Dic17—21no—
135C2×C4⋊Dic17—21no—
136C2×C4⋊Dic17C2311yescharacteristic
137C2×#63225—21no—
138C2×#63225—21no—
139C2×C4×Dic17—21no—
140C2×C4×Dic17—21no—
141C22×#3622C2311yescharacteristic
142C22×#3622C2311yescharacteristic
143C22×#3622C2311yescharacteristic
144C22×#3622C2311yescharacteristic
145#10587584—28no—
146#10587584—28no—
147#10587578—28no—
148#10587561—22no—
149#10587561—22no—
150#10587561C2314yes—
151#10587561C2314yes—
152C4×D68—22no—
153C4×D68C2314yes—
154#10587555—22no—
155#10587555C2314yes—
156C4×Dic34—22no—
157C4×Dic34—22no—
158C4×Dic34C2314yes—
159C4×Dic34C2314yes—
160#10587506C2314yes—
161#10587481C2314yes—
162#10587481C2314yes—
163#10587481C2314yes—
164#10587481C2314yes—
165#10587481C2314yes—
166#10587481C2314yes—
167#10587480C2314yes—
168#10587480C2314yes—
169#10587480C2314yes—
170#10587479C2314yes—
171#10587478C2314yes—
172#10587478C2314yes—
173C4⋊#3622C2314yes—
174C4⋊#3622C2314yes—
175C4⋊#3622C2314yes—
176#10587474C2314yes—
177#10587474C2314yes—
178C4×#3622C2314yes—
179C23×D17—21no—
180C2×Q8×C17—21no—
181C2×Q8×C17—24no—
182C2×Q8×C17—22no—
183C2×Q8×C17—42no—
184C2×Q8×C17—44no—
185C2×Q8×C17C2×D414yes—
186C2×Q8×C17#4114yes—
187C2×Q8×C17C2412yes—
188C22×C4×C17—21no—
189C22×C4×C17—21no—
190C22×C4×C17—21no—
191C22×C4×C17—21no—
192C22×C4×C17C2×D411yescharacteristic
193C22×C4×C17C2×D411yescharacteristic
194C22×C4×C17C2×D411yescharacteristic
195C22×C4×C17C2×D411yescharacteristic
196C22×C4×C17C2×D411yescharacteristic
197C22×C4×C17C2×D411yescharacteristic
198C22×C4×C17C2411yescharacteristic
199C22×Dic17—21no—
200C22×Dic17—21no—
201C22×Dic17—21no—
202C2×D68—22no—
203C2×D68—22no—
204C2×D68—21no—
205C2×D68C2412yes—
206C2×C4×D17—24no—
207C2×C4×D17—44no—
208C2×Dic34—22no—
209C2×Dic34—22no—
210C2×Dic34—22no—
211C2×Dic34—22no—
212C2×Dic34—21no—
213C2×Dic34—21no—
214C2×Dic34C2412yes—
215C2×Dic34C2412yes—
216C4⋊C4×C17—24no—
217C4⋊C4×C17—24no—
218C4⋊C4×C17—21no—
219C4⋊C4×C17—24no—
220C4⋊C4×C17—24no—
221C4⋊C4×C17—24no—
222C4⋊C4×C17—24no—
223C4⋊C4×C17—24no—
224C4⋊C4×C17—24no—
225C4⋊C4×C17—21no—
226C4⋊C4×C17—21no—
227C4⋊C4×C17C2×D414yes—
228C4⋊C4×C17C2×D414yes—
229C4⋊C4×C17C2×D414yes—
230C4⋊C4×C17C2412yes—
231C4⋊C4×C17C2412yes—
232C4⋊C4×C17C2412yes—
233C42×C17—24no—
234C42×C17—24no—
235C42×C17—24no—
236C42×C17C2×D412yes—
237C42×C17C2×D412yes—
238C42×C17C2×D412yes—
239C42×C17C2412yes—
240C42×C17C2412yes—
241C42×C17C2412yes—
242#63231—28no—
243#63231—28no—
244#63230—28no—
245#63227—24no—
246#63227—24no—
247#63227—24no—
248#63227—24no—
249#63227—24no—
250C4⋊Dic17—21no—
251C4⋊Dic17—24no—
252C4⋊Dic17—24no—
253C4⋊Dic17C2412yes—
254#63225—24no—
255#63225—24no—
256C4×Dic17—24no—
257C4×Dic17—24no—
258C2×#3622—22no—
259C2×#3622—22no—
260C2×#3622—22no—
261C2×#3622—22no—
262C2×#3622C2412yes—
263C2×#3622C2412yes—
264C2×#3622C2412yes—
265C2×#3622C2412yes—
266C2×#3377—171nomaximal, Sylow
267C23×C17C22×D411yescharacteristic
268C22×D17—22no—
269C22×D17—42no—
270C22×D17—42no—
271C22×D17—42no—
272Q8×C17—24no—
273Q8×C17—22no—
274Q8×C17—44no—
275Q8×C17—48no—
276Q8×C17C2×#4114yes—
277C2×C4×C17—24no—
278C2×C4×C17—22no—
279C2×C4×C17—22no—
280C2×C4×C17—22no—
281C2×C4×C17—22no—
282C2×C4×C17—22no—
283C2×C4×C17—22no—
284C2×C4×C17—22no—
285C2×C4×C17—22no—
286C2×C4×C17—22no—
287C2×C4×C17—22no—
288C2×C4×C17—42no—
289C2×C4×C17—42no—
290C2×C4×C17—42no—
291C2×C4×C17C22×D412yes—
292C2×C4×C17C22×D412yes—
293C2×C4×C17C22×D412yes—
294C2×C4×C17C22×D412yes—
295C2×C4×C17C22×D412yes—
296C2×C4×C17C22×D412yes—
297C2×C4×C17C22×D411yescharacteristic
298C2×C4×C17C2×#4112yes—
299C2×C4×C172−1+412yes—
300C2×C4×C17C2511yescharacteristic
301C2×Dic17—22no—
302C2×Dic17—22no—
303C2×Dic17—22no—
304C2×Dic17—42no—
305C2×Dic17—42no—
306C2×Dic17—42no—
307D68—22no—
308D68—22no—
309D68—42no—
310C4×D17—48no—
311Dic34—22no—
312Dic34—22no—
313Dic34—22no—
314Dic34—22no—
315Dic34—42no—
316Dic34—42no—
317#3622—22no—
318#3622—22no—
319#3622—22no—
320#3622—22no—
321C2×#557D1711yescharacteristic, complemented
322C2×#556—171no—
323#3377—1716no—
324C2×#491—171no—
325C2×#489—171no—
326C2×#488—171no—
327C2×#479—171no—
328C2×#477—171no—
329C2×#478—171no—
330C2×#464—171no—
331C2×#464—171no—
332C2×#462—171no—
333C2×#446—171no—
334C2×#441—171no—
335C2×#440—171no—
336C2×C4×Q16—171no—
337C22×C17#54812yes—
338C22×C17#57512yes—
339C22×C17#57812yes—
340C22×C17C23×D411yescharacteristic
341C2×D17—42no—
342C2×D17—42no—
343C2×D17—42no—
344C2×D17—84no—
345C4×C17—24no—
346C4×C17—22no—
347C4×C17—22no—
348C4×C17—22no—
349C4×C17—22no—
350C4×C17—22no—
351C4×C17—22no—
352C4×C17—42no—
353C4×C17—42no—
354C4×C17—42no—
355C4×C17#54812yes—
356C4×C17C22×#4111yescharacteristic
357C4×C17C2×2−1+411yescharacteristic
358Dic17—42no—
359Dic17—42no—
360Dic17—42no—
361C22×Q16—171no—
362C22×Q16—171no—
363C22×SD16—171no—
364#557—24no—
365#557C2×D1718yescomplemented
366#556—178no—
367#556—344no—
368C2×C4⋊Q8—21no—
369C2×C4⋊Q8—171no—
370C2×C4⋊Q8C2×D1711yescharacteristic
371C2×#126—341no—
372C2×#126—341no—
373C2×#125—21no—
374C2×#125—21no—
375C2×#125C2×D1711yescharacteristic
376C2×#125C2×D1711yescharacteristic
377C2×#124—171no—
378C2×#124—171no—
379C2×C22⋊Q8—341no—
380C2×C4×Q8—21no—
381C2×C4×Q8—171no—
382C2×C4×Q8—171no—
383C2×C4×Q8C2×D1711yescharacteristic
384C2×C4×Q8C2×D1711yescharacteristic
385C2×C4×Q8C2×D1711yescharacteristic
386C2×C4×Q8C2×D1711yescharacteristic
387C2×C4×D4—171no—
388C2×#117—341no—
389#491—178no—
390#489—178no—
391#488—178no—
392#479—178no—
393#478—178no—
394#477—178no—
395#464—178no—
396#464—178no—
397#462—178no—
398#446—178no—
399#441—178no—
400#440—178no—
401C4×Q16—178no—
402C2×#107—171no—
403C2×#107—171no—
404C2×#106—171no—
405C2×C4⋊C8—171no—
406C2×C4⋊C8—171no—
407C2×C4⋊C8—171no—
408C2×#103—171no—
409C2×#103—171no—
410C2×#103—171no—
411C2×#103—171no—
412C2×#103—171no—
413C2×#103—171no—
414C2×#103—171no—
415C2×#102—171no—
416C2×#102—171no—
417C2×#102—171no—
418C2×#97—171no—
419C2×#97—171no—
420C2×C4×C8—171no—
421C2×C17#337714yescomplemented
422C2×C17C2×#54811yescharacteristic
423C2×C17C2×#57511yescharacteristic
424C2×C17C2×#57811yescharacteristic
425D17—82no—
426C22×Q8—21no—
427C22×Q8—171no—
428C22×Q8—171no—
429C22×Q8C22⋊D1711yescharacteristic
430C22×Q8C22×D1711yescharacteristic
431C22×D4—171no—
432C23×C4—341no—
433C2×Q16—174no—
434C2×Q16—174no—
435C2×Q16—344no—
436C2×Q16—344no—
437C2×SD16—174no—
438C2×SD16—344no—
439C22×C8—171no—
440C22×C8—171no—
441C22×C8—171no—
442C22×C8—171no—
443C4⋊Q8—28no—
444C4⋊Q8—22no—
445C4⋊Q8—174no—
446C4⋊Q8—342no—
447C4⋊Q8C22×D1714yes—
448#126—348no—
449#126—348no—
450#125—28no—
451#125—28no—
452#125—22no—
453#125—22no—
454#125C22×D1714yes—
455#125C22×D1714yes—
456#124—174no—
457#124—174no—
458#124—342no—
459#124—342no—
460C22⋊Q8—348no—
461C4×Q8—28no—
462C4×Q8—22no—
463C4×Q8—22no—
464C4×Q8—22no—
465C4×Q8—174no—
466C4×Q8—174no—
467C4×Q8—342no—
468C4×Q8—342no—
469C4×Q8C22⋊D1714yes—
470C4×Q8C22×D1714yes—
471C4×Q8C22×D1714yes—
472C4×Q8C22×D1714yes—
473C4×Q8C22×D1714yes—
474C4×D4—174no—
475C4×D4—342no—
476#117—348no—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—21no—
482C2×C4⋊C4—21no—
483C2×C4⋊C4—21no—
484C2×C4⋊C4—21no—
485C2×C4⋊C4—171no—
486C2×C4⋊C4—341no—
487C2×C4⋊C4—341no—
488C2×C4⋊C4—341no—
489C2×C4⋊C4—341no—
490C2×C4⋊C4C22⋊D1711yescharacteristic
491C2×C4⋊C4C22⋊D1711yescharacteristic
492C2×C4⋊C4C22⋊D1711yescharacteristic
493C2×C4⋊C4C22×D1711yescharacteristic
494C2×C4⋊C4C22×D1711yescharacteristic
495C2×C4⋊C4C22×D1711yescharacteristic
496C2×C22⋊C4—341no—
497C2×C22⋊C4—341no—
498C2×C22⋊C4—341no—
499C2×C22⋊C4—341no—
500C2×C22⋊C4—341no—
501C2×C42—21no—
502C2×C42—21no—
503C2×C42—21no—
504C2×C42—341no—
505C2×C42—341no—
506C2×C42C22×D1711yescharacteristic
507C2×C42C22×D1711yescharacteristic
508C2×C42C22×D1711yescharacteristic
509#107—174no—
510#107—174no—
511#106—174no—
512C4⋊C8—174no—
513C4⋊C8—174no—
514C4⋊C8—174no—
515#103—174no—
516#103—174no—
517#103—174no—
518#103—174no—
519#103—174no—
520#103—174no—
521#103—174no—
522#102—174no—
523#102—174no—
524#102—174no—
525#97—174no—
526#97—174no—
527C4×C8—174no—
528C17C2×#337711yescharacteristic, complemented, Sylow
529C24—341no—
530C2×Q8—22no—
531C2×Q8—21no—
532C2×Q8—24no—
533C2×Q8—42no—
534C2×Q8—44no—
535C2×Q8—172no—
536C2×Q8—172no—
537C2×Q8—341no—
538C2×Q8—341no—
539C2×Q8—342no—
540C2×Q8—342no—
541C2×Q8—342no—
542C2×Q8—342no—
543C2×Q8#6325614yes—
544C2×Q8C2×C22⋊D1714yes—
545C2×Q8C23×D1712yes—
546C2×D4—172no—
547C2×D4—342no—
548C2×D4—342no—
549C2×D4—341no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—341no—
555C22×C4—341no—
556C22×C4—341no—
557C22×C4—344no—
558C22×C4—684no—
559C22×C4C2×C22⋊D1711yescharacteristic
560C22×C4C2×C22⋊D1711yescharacteristic
561C22×C4C2×C22⋊D1711yescharacteristic
562C22×C4C2×C22⋊D1711yescharacteristic
563C22×C4C2×C22⋊D1711yescharacteristic
564C22×C4C2×C22⋊D1711yescharacteristic
565C22×C4C23×D1711yescharacteristic
566Q16—348no—
567Q16—348no—
568SD16—348no—
569C2×C8—172no—
570C2×C8—172no—
571C2×C8—172no—
572C2×C8—172no—
573C2×C8—342no—
574C2×C8—342no—
575C2×C8—342no—
576C2×C8—342no—
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—24no—
580C4⋊C4—24no—
581C4⋊C4—24no—
582C4⋊C4—24no—
583C4⋊C4—24no—
584C4⋊C4—24no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—172no—
589C4⋊C4—341no—
590C4⋊C4—344no—
591C4⋊C4—344no—
592C4⋊C4—344no—
593C4⋊C4—344no—
594C4⋊C4C2×C22⋊D1714yes—
595C4⋊C4C2×C22⋊D1714yes—
596C4⋊C4C2×C22⋊D1714yes—
597C4⋊C4C23×D1712yes—
598C4⋊C4C23×D1712yes—
599C4⋊C4C23×D1712yes—
600C22⋊C4—344no—
601C22⋊C4—344no—
602C22⋊C4—344no—
603C22⋊C4—344no—
604C22⋊C4—344no—
605C42—24no—
606C42—24no—
607C42—24no—
608C42—344no—
609C42—344no—
610C42C2×C22⋊D1712yes—
611C42C2×C22⋊D1712yes—
612C42C2×C22⋊D1712yes—
613C42C23×D1712yes—
614C42C23×D1712yes—
615C42C23×D1712yes—
616C23—342no—
617C23—682no—
618C23—682no—
619C23—682no—
620C23C22×C22⋊D1711yescharacteristic
621Q8—24no—
622Q8—22no—
623Q8—44no—
624Q8—48no—
625Q8—342no—
626Q8—342no—
627Q8—342no—
628Q8—342no—
629Q8—682no—
630Q8—682no—
631Q8C2×#6325614yes—
632D4—342no—
633D4—342no—
634D4—682no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—342no—
650C2×C4—342no—
651C2×C4—342no—
652C2×C4—688no—
653C2×C4—682no—
654C2×C4—682no—
655C2×C4—682no—
656C2×C4C2×#6325612yes—
657C2×C4#1058769412yes—
658C2×C4C22×C22⋊D1712yes—
659C2×C4C22×C22⋊D1712yes—
660C2×C4C22×C22⋊D1712yes—
661C2×C4C22×C22⋊D1712yes—
662C2×C4C22×C22⋊D1712yes—
663C2×C4C22×C22⋊D1712yes—
664C2×C4C22×C22⋊D1711yescharacteristic
665C2×C4C24×D1711yescharacteristic
666C8—342no—
667C8—342no—
668C8—342no—
669C8—342no—
670C22—682no—
671C22—682no—
672C22—682no—
673C22—1364no—
674C22#1176347012yes—
675C22#1176360712yes—
676C22#1176362412yes—
677C22C23×C22⋊D1711yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—24no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—682no—
689C4—682no—
690C4—682no—
691C4#1176347012yes—
692C4C22×#6325611yescharacteristic
693C4C2×#1058769411yescharacteristic
694C2—1362no—
695C2#1454162614yesdirect product factor
696C2C2×#1176347011yescharacteristic
697C2C2×#1176360711yescharacteristic
698C2C2×#1176362411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#557C2
socleC23×C17C22×D4
prime radicalC22×D68C23
hypercenterC2×#557D17
hypocenterC17C2×#3377
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
2. #14541626C2direct (N × H)
3. C2×#11763179C2semidirect
6. C2×#11763113C2semidirect
7. C2×#11763101C2semidirect
11. C2×#11763019C2semidirect
12. C2×#11762940C2semidirect
13. C2×#11762914C2semidirect
15. C2×C4×#63231C2semidirect
16. C2×C17×#557C2semidirect
32. #11763179C22semidirect
35. #11763113C22semidirect
37. #11763101C22semidirect
40. #11763019C22semidirect
41. #11762940C22semidirect
42. #11762914C22semidirect
44. C4×#63231C22semidirect
65. C17×#557C22semidirect
321. C2×#557D17semidirect
365. #557C2×D17semidirect
421. C2×C17#3377semidirect
528. C17C2×#3377semidirect
695. C2#14541626direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117635322
#145416262
C2×#117631792
C2×#117631712
C2×#117631662
C2×#117631132
C2×#117631012
C2×#117631062
C2×#117630312
C2×#117630192
C2×#117629402
C2×#117629142
C2×#117629072
C2×C4×#632312
C2×C17×#5572
C2×#337717