Finite Group Databasebeta

← C2×#14539311 #17903944

Subgroups — C2×#14539311 #17903944

Order 4352.

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×#11763439C211yesmaximal, characteristic
2C2×#11763436C211yesmaximal, characteristic
3#14539311C2116yesmaximal, direct product factor
4C2×#11763218C211yesmaximal, characteristic, complemented
5C2×#11763217C211yesmaximal, characteristic, complemented
6C2×#11763216C211yesmaximal, characteristic, complemented
7C2×#11763210C211yesmaximal, characteristic, complemented
8C2×#11763208C211yesmaximal, characteristic, complemented
9C2×#11763206C211yesmaximal, characteristic, complemented
10C2×#11763205C211yesmaximal, characteristic, complemented
11C2×#11762850C211yesmaximal, characteristic
12C2×#11762848C211yesmaximal, characteristic
13C2×#11762846C211yesmaximal, characteristic
14C2×#106×D17C211yesmaximal, characteristic
15C2×#11762766C211yesmaximal, characteristic
16C2×C17×#501C211yesmaximal, characteristic, complemented
17C22×#63218C2211yescharacteristic
18C22×C8×D17C2211yescharacteristic
19#11763439—24no—
20#11763439C2218yes—
21#11763436—24no—
22#11763436C2218yes—
23C2×#10587555C2211yescharacteristic
24C2×#10587574—21no—
25C2×#10587574C2211yescharacteristic
26C2×#10587574C2211yescharacteristic
27C2×#10587630—21no—
28C2×#10587556C2211yescharacteristic
29C2×#10587576C2211yescharacteristic
30C2×#10587576C2211yescharacteristic
31C2×#10587575—21no—
32C2×#10587575—21no—
33C2×#10587583—21no—
34C2×#10587582—21no—
35C2×#10587582—21no—
36C2×#10587632—21no—
37C2×#10587578C2211yescharacteristic
38C2×#10587578C2211yescharacteristic
39C2×#10587558C2211yescharacteristic
40C2×C4⋊C4×D17C2211yescharacteristic
41C2×C4⋊C4×D17C2211yescharacteristic
42#11763218C2218yescomplemented
43#11763217C2218yescomplemented
44#11763216C2218yescomplemented
45#11763210C2218yescomplemented
46#11763208C2218yescomplemented
47#11763206C2218yescomplemented
48#11763205C2218yescomplemented
49#11762850C2218yes—
50#11762848C2218yes—
51#11762846C2218yes—
52C2×#10587489C2211yescharacteristic
53C2×#10587489C2211yescharacteristic
54C2×#10587478C2211yescharacteristic
55C2×#10587478C2211yescharacteristic
56C2×#10587488C2211yescharacteristic
57C2×#10587488C2211yescharacteristic
58C2×#10587479C2211yescharacteristic
59C2×#10587479C2211yescharacteristic
60C2×#10587479C2211yescharacteristic
61C2×#10587479C2211yescharacteristic
62C2×#10587479C2211yescharacteristic
63C2×#10587479C2211yescharacteristic
64#106×D17C2218yes—
65#11762766C2218yes—
66C2×#10587486C2211yescharacteristic
67C2×C4×#3622C2211yescharacteristic
68C2×C8×Dic17C2211yescharacteristic
69C2×C17×C4⋊Q8C2211yescharacteristic
70C2×C17×#125C2211yescharacteristic
71C17×#501C2218yescomplemented
72C2×C17×#107C2211yescharacteristic
73C2×C17×#107C2211yescharacteristic
74C2×C17×#106C2211yescharacteristic
75C2×C17×#106C2211yescharacteristic
76C2×C17×#97C2211yescharacteristic
77C22×Q8×C17—21no—
78C22×C4×D17—21no—
79C22×C4×D17—21no—
80C22×C4×D17C2311yescharacteristic
81C22×Dic34—21no—
82C22×Dic34—21no—
83C22×Dic34—21no—
84C22×C8×C17C2311yescharacteristic
85C22×C8×C17C2311yescharacteristic
86C17×C4⋊Q8—22no—
87C17×C4⋊Q8C2314yes—
88C17×#125—22no—
89C17×#125C2314yes—
90C2×C4⋊C4×C17—21no—
91C2×C4⋊C4×C17—21no—
92C2×C4⋊C4×C17—21no—
93C2×C4⋊C4×C17C2311yescharacteristic
94C2×C4⋊C4×C17C2311yescharacteristic
95C2×C4⋊C4×C17C2311yescharacteristic
96C2×C4⋊C4×C17C2311yescharacteristic
97C2×C42×C17C2311yescharacteristic
98#10587632—28no—
99#10587630—28no—
100C2×#63227—21no—
101C2×#63227—21no—
102C2×#63227D411yescharacteristic
103C2×#63227D411yescharacteristic
104C2×C4⋊Dic17—21no—
105C2×C4⋊Dic17—21no—
106C2×C4⋊Dic17—21no—
107C2×C4⋊Dic17C2311yescharacteristic
108C2×C4⋊Dic17C2311yescharacteristic
109C2×C4⋊Dic17C2311yescharacteristic
110C2×C4⋊Dic17C2311yescharacteristic
111C2×#63225—21no—
112C2×#63225—21no—
113C2×#63225—21no—
114C2×#63225—21no—
115C2×#63225—21no—
116C2×#63225—21no—
117C2×#63225—21no—
118C2×#63225—21no—
119C2×#63225D411yescharacteristic
120C2×#63225D411yescharacteristic
121C2×C4×Dic17—21no—
122C2×C4×Dic17—21no—
123C2×C4×Dic17C2311yescharacteristic
124C22×#3622C2311yescharacteristic
125C22×#3622C2311yescharacteristic
126C2×#63218Q818yescomplemented
127C2×#63218C2314yes—
128C2×C8×D17Q818yescomplemented
129C2×C8×D17C2314yes—
130#10587583—28no—
131#10587582—28no—
132#10587582—28no—
133#10587578—22no—
134#10587578—22no—
135#10587578C2314yes—
136#10587578C2314yes—
137C4⋊C4×D17—22no—
138C4⋊C4×D17—22no—
139C4⋊C4×D17C2314yes—
140C4⋊C4×D17C2314yes—
141#10587576—22no—
142#10587576—22no—
143#10587576C2314yes—
144#10587576C2314yes—
145#10587575—28no—
146#10587575—28no—
147#10587574—28no—
148#10587574—22no—
149#10587574—22no—
150#10587574C2314yes—
151#10587574C2314yes—
152#10587558D414yes—
153#10587558C2314yes—
154#10587556—22no—
155#10587556C2314yes—
156#10587555—22no—
157#10587555C2314yes—
158C17×#107C2314yes—
159C17×#107C2314yes—
160C17×#106C2314yes—
161C17×#106C2314yes—
162C17×#97C2314yes—
163#10587489C2314yes—
164#10587489C2314yes—
165#10587488C2314yes—
166#10587488C2314yes—
167#10587486C2314yes—
168C8×Dic17C2314yes—
169#10587479C2314yes—
170#10587479C2314yes—
171#10587479C2314yes—
172#10587479C2314yes—
173#10587479C2314yes—
174#10587479C2314yes—
175#10587478C2314yes—
176#10587478C2314yes—
177C4×#3622C2314yes—
178C23×D17C2×D411yescharacteristic
179C2×Q8×C17—24no—
180C2×Q8×C17—82no—
181C22×C4×C17—21no—
182C22×C4×C17—21no—
183C22×C4×C17—21no—
184C22×C4×C17—21no—
185C22×C4×C17C2×D411yescharacteristic
186C22×C4×C17C2×D411yescharacteristic
187C22×C4×C17C2411yescharacteristic
188C22×Dic17—21no—
189C22×Dic17—21no—
190C22×Dic17—21no—
191C22×Dic17—21no—
192C22×Dic17C2×D411yescharacteristic
193C22×Dic17C2×D411yescharacteristic
194C22×Dic17C2×D411yescharacteristic
195C2×C4×D17—24no—
196C2×C4×D17—24no—
197C2×C4×D17—82no—
198C2×C4×D17—82no—
199C2×C4×D17C2×D412yes—
200C2×C4×D17C2×Q814yes—
201C2×C4×D17C2×Q814yes—
202C2×C4×D17C2412yes—
203C2×Dic34—24no—
204C2×Dic34—24no—
205C2×Dic34—24no—
206C2×Dic34—82no—
207C2×Dic34—82no—
208C2×Dic34—82no—
209C2×C8×C17C2×Q814yes—
210C2×C8×C17C2×Q814yes—
211C2×C8×C17C2412yes—
212C2×C8×C17C2412yes—
213C4⋊C4×C17—21no—
214C4⋊C4×C17—21no—
215C4⋊C4×C17—24no—
216C4⋊C4×C17—24no—
217C4⋊C4×C17—21no—
218C4⋊C4×C17—21no—
219C4⋊C4×C17—24no—
220C4⋊C4×C17C2412yes—
221C4⋊C4×C17C2412yes—
222C4⋊C4×C17C2412yes—
223C4⋊C4×C17C2412yes—
224C42×C17C2×D412yes—
225C42×C17C2412yes—
226#63227—24no—
227#63227—24no—
228#63227C2×D414yes—
229#63227C2×D414yes—
230C4⋊Dic17—21no—
231C4⋊Dic17—21no—
232C4⋊Dic17—24no—
233C4⋊Dic17—21no—
234C4⋊Dic17—21no—
235C4⋊Dic17—24no—
236C4⋊Dic17—24no—
237C4⋊Dic17C2412yes—
238C4⋊Dic17C2412yes—
239C4⋊Dic17C2412yes—
240C4⋊Dic17C2412yes—
241#63225—24no—
242#63225—24no—
243#63225—24no—
244#63225—24no—
245#63225—24no—
246#63225—24no—
247#63225—24no—
248#63225—24no—
249#63225C2×D414yes—
250#63225C2×D414yes—
251C4×Dic17—24no—
252C4×Dic17—24no—
253C4×Dic17C2×D412yes—
254C4×Dic17C2412yes—
255C2×#3622C2×Q814yes—
256C2×#3622C2×Q814yes—
257C2×#3622C2412yes—
258C2×#3622C2412yes—
259#63218C2×Q8116yescomplemented
260C8×D17C2×Q8116yescomplemented
261C2×#3163—171nomaximal, Sylow
262C23×C17C22×D411yescharacteristic
263C22×D17—22no—
264C22×D17—22no—
265C22×D17C4⋊Q814yes—
266C22×D17C22×D412yes—
267Q8×C17—84no—
268C2×C4×C17—22no—
269C2×C4×C17—22no—
270C2×C4×C17—22no—
271C2×C4×C17—22no—
272C2×C4×C17—22no—
273C2×C4×C17—22no—
274C2×C4×C17—42no—
275C2×C4×C17—42no—
276C2×C4×C17—42no—
277C2×C4×C17—42no—
278C2×C4×C17C22×D412yes—
279C2×C4×C17C22×D412yes—
280C2×C4×C17C22×D411yescharacteristic
281C2×C4×C17C22×Q812yes—
282C2×C4×C17C22×Q812yes—
283C2×C4×C17C2511yescharacteristic
284C2×Dic17—22no—
285C2×Dic17—22no—
286C2×Dic17—22no—
287C2×Dic17—22no—
288C2×Dic17—22no—
289C2×Dic17—22no—
290C2×Dic17—42no—
291C2×Dic17—42no—
292C2×Dic17—42no—
293C2×Dic17—42no—
294C2×Dic17C4⋊Q814yes—
295C2×Dic17C22×D412yes—
296C2×Dic17C22×D412yes—
297C2×Dic17C22×D412yes—
298C4×D17—84no—
299C4×D17—84no—
300C4×D17C4⋊Q818yes—
301C4×D17C22×Q814yes—
302C4×D17C22×Q814yes—
303Dic34—84no—
304Dic34—84no—
305Dic34—84no—
306C8×C17C22×Q814yes—
307C8×C17C22×Q814yes—
308#3622C22×Q814yes—
309#3622C22×Q814yes—
310C2×#544—171no—
311C2×#544—171no—
312#3163—1716no—
313C2×#501—171no—
314C2×#501—171no—
315C2×#501—171no—
316C2×#501D1711yescharacteristic, complemented
317C2×#499—171no—
318C2×#499—171no—
319C2×#498—171no—
320C2×#498—171no—
321C2×#428—171no—
322C2×#428—171no—
323C2×#427—171no—
324C22×#106—171no—
325C2×#405—171no—
326C22×C17C2×C4⋊Q812yes—
327C22×C17#57712yes—
328C22×C17#57712yes—
329C22×C17C23×D411yescharacteristic
330C2×D17—28no—
331C2×D17—22no—
332C2×D17—22no—
333C2×D17C2×C4⋊Q814yes—
334C4×C17—22no—
335C4×C17—22no—
336C4×C17—42no—
337C4×C17—42no—
338C4×C17—42no—
339C4×C17—42no—
340C4×C17C2×C4⋊Q812yes—
341C4×C17C23×Q811yescharacteristic
342C4×C17C23×Q811yescharacteristic
343Dic17—22no—
344Dic17—22no—
345Dic17—42no—
346Dic17—42no—
347Dic17—42no—
348Dic17—42no—
349Dic17C2×C4⋊Q814yes—
350C22×M16—171no—
351C23×C8—171no—
352#544—178no—
353#544—178no—
354#544—344no—
355#544—344no—
356C2×C4⋊Q8—171no—
357C2×C4⋊Q8—171no—
358C2×C4⋊Q8—171no—
359C2×C4⋊Q8—341no—
360C2×C4⋊Q8—341no—
361C2×C4⋊Q8C2×D1711yescharacteristic
362C2×#125—171no—
363C2×#125—171no—
364C2×#125—171no—
365C2×#125—341no—
366C2×#125—341no—
367C2×#125C2×D1711yescharacteristic
368C2×C22⋊Q8—341no—
369C2×C22⋊Q8—341no—
370C2×C22⋊Q8—341no—
371C2×C22⋊Q8—341no—
372C2×#117—171no—
373C2×#117—171no—
374C2×#117—171no—
375C22×C4⋊C4—171no—
376C22×C4⋊C4—171no—
377#501—178no—
378#501—178no—
379#501—178no—
380#501C2×D1718yescomplemented
381#499—178no—
382#499—178no—
383#498—178no—
384#498—178no—
385#428—178no—
386#428—178no—
387#427—178no—
388C2×#107—171no—
389C2×#107—171no—
390C2×#107—171no—
391C2×#107—171no—
392C2×#107C2×D1711yescharacteristic
393C2×#107C2×D1711yescharacteristic
394C2×#106—171no—
395C2×#106—171no—
396C2×#106—171no—
397C2×#106—171no—
398C2×#106—171no—
399C2×#106—171no—
400C2×#106—171no—
401C2×#106—171no—
402C2×#106—178no—
403C2×#106C2×D1711yescharacteristic
404C2×#106C2×D1711yescharacteristic
405#405—178no—
406C2×#97—171no—
407C2×#97C2×D1711yescharacteristic
408C2×C4×C8—171no—
409C2×C4×C8—171no—
410C2×C17#316314yescomplemented
411C2×C17C22×C4⋊Q811yescharacteristic
412C2×C17C2×#57711yescharacteristic
413C2×C17C2×#57711yescharacteristic
414D17—24no—
415C22×Q8—21no—
416C22×Q8—341no—
417C22×Q8—341no—
418C22×Q8—341no—
419C23×C4—171no—
420C23×C4—341no—
421C23×C4—341no—
422C2×M16—178no—
423C2×M16—174no—
424C22×C8—171no—
425C22×C8—171no—
426C22×C8—178no—
427C22×C8—174no—
428C22×C8C22×D1711yescharacteristic
429C22×C8C22×D1711yescharacteristic
430C4⋊Q8—22no—
431C4⋊Q8—174no—
432C4⋊Q8—174no—
433C4⋊Q8—174no—
434C4⋊Q8—342no—
435C4⋊Q8—342no—
436C4⋊Q8—348no—
437C4⋊Q8—348no—
438C4⋊Q8—342no—
439C4⋊Q8C22×D1714yes—
440#125—22no—
441#125—174no—
442#125—174no—
443#125—174no—
444#125—342no—
445#125—342no—
446#125—348no—
447#125—348no—
448#125—342no—
449#125C22×D1714yes—
450C22⋊Q8—348no—
451C22⋊Q8—348no—
452C22⋊Q8—348no—
453C22⋊Q8—348no—
454#117—174no—
455#117—174no—
456#117—174no—
457#117—174no—
458#117—342no—
459#117—342no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—171no—
464C2×C4⋊C4—171no—
465C2×C4⋊C4—171no—
466C2×C4⋊C4—171no—
467C2×C4⋊C4—171no—
468C2×C4⋊C4—171no—
469C2×C4⋊C4—174no—
470C2×C4⋊C4—174no—
471C2×C4⋊C4—342no—
472C2×C4⋊C4—342no—
473C2×C4⋊C4—341no—
474C2×C4⋊C4—341no—
475C2×C4⋊C4—341no—
476C2×C4⋊C4—341no—
477C2×C4⋊C4—341no—
478C2×C4⋊C4—341no—
479C2×C4⋊C4—341no—
480C2×C4⋊C4—341no—
481C2×C4⋊C4—341no—
482C2×C4⋊C4—341no—
483C2×C4⋊C4—341no—
484C2×C4⋊C4C22×D1711yescharacteristic
485C2×C4⋊C4C22×D1711yescharacteristic
486C2×C4⋊C4C22×D1711yescharacteristic
487C2×C4⋊C4C22×D1711yescharacteristic
488C2×C22⋊C4—171no—
489C2×C22⋊C4—171no—
490C2×C22⋊C4—341no—
491C2×C22⋊C4—341no—
492C2×C42—171no—
493C2×C42—341no—
494C2×C42—341no—
495C2×C42C22×D1711yescharacteristic
496#107—174no—
497#107—174no—
498#107—174no—
499#107—174no—
500#107C22×D1714yes—
501#107C22×D1714yes—
502#106—174no—
503#106—174no—
504#106—174no—
505#106—174no—
506#106—174no—
507#106—174no—
508#106—174no—
509#106—174no—
510#106C22×D1714yes—
511#106C22×D1714yes—
512#97—174no—
513#97C22×D1714yes—
514C4×C8—174no—
515C4×C8—174no—
516C17C2×#316311yescharacteristic, complemented, Sylow
517C24—171no—
518C2×Q8—24no—
519C2×Q8—82no—
520C2×Q8—344no—
521C2×Q8—344no—
522C2×Q8—344no—
523C2×Q8—1362no—
524C2×Q8—1362no—
525C2×Q8—1362no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—171no—
531C22×C4—172no—
532C22×C4—174no—
533C22×C4—174no—
534C22×C4—172no—
535C22×C4—171no—
536C22×C4—171no—
537C22×C4—344no—
538C22×C4—344no—
539C22×C4—341no—
540C22×C4—341no—
541C22×C4—341no—
542C22×C4—341no—
543C22×C4—1362no—
544C22×C4—1362no—
545C22×C4D4×D1711yescharacteristic
546C22×C4D4×D1711yescharacteristic
547C22×C4C23×D1711yescharacteristic
548M16—1716no—
549C2×C8—174no—
550C2×C8—174no—
551C2×C8—172no—
552C2×C8—172no—
553C2×C8—1716no—
554C2×C8Q8×D1714yes—
555C2×C8Q8×D1714yes—
556C2×C8C23×D1712yes—
557C2×C8C23×D1712yes—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—174no—
566C4⋊C4—174no—
567C4⋊C4—172no—
568C4⋊C4—172no—
569C4⋊C4—172no—
570C4⋊C4—172no—
571C4⋊C4—344no—
572C4⋊C4—344no—
573C4⋊C4—344no—
574C4⋊C4—344no—
575C4⋊C4—344no—
576C4⋊C4—344no—
577C4⋊C4—344no—
578C4⋊C4—344no—
579C4⋊C4—341no—
580C4⋊C4—341no—
581C4⋊C4—341no—
582C4⋊C4—341no—
583C4⋊C4—344no—
584C4⋊C4—344no—
585C4⋊C4—344no—
586C4⋊C4C23×D1712yes—
587C4⋊C4C23×D1712yes—
588C4⋊C4C23×D1712yes—
589C4⋊C4C23×D1712yes—
590C22⋊C4—174no—
591C22⋊C4—174no—
592C22⋊C4—344no—
593C22⋊C4—344no—
594C42—172no—
595C42—172no—
596C42—344no—
597C42—344no—
598C42D4×D1712yes—
599C42C23×D1712yes—
600C23—174no—
601C23—172no—
602C23—342no—
603C23—342no—
604C23C2×D4×D1711yescharacteristic
605Q8—84no—
606Q8—1364no—
607Q8—1364no—
608Q8—1364no—
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—174no—
620C2×C4—172no—
621C2×C4—178no—
622C2×C4—174no—
623C2×C4—174no—
624C2×C4—172no—
625C2×C4—172no—
626C2×C4—342no—
627C2×C4—342no—
628C2×C4—342no—
629C2×C4—342no—
630C2×C4—342no—
631C2×C4—342no—
632C2×C4—682no—
633C2×C4—682no—
634C2×C4—682no—
635C2×C4—682no—
636C2×C4—1364no—
637C2×C4—1364no—
638C2×C4C2×D4×D1712yes—
639C2×C4C2×D4×D1712yes—
640C2×C4C2×D4×D1711yescharacteristic
641C2×C4C2×Q8×D1712yes—
642C2×C4C2×Q8×D1712yes—
643C2×C4C24×D1711yescharacteristic
644C8—174no—
645C8—174no—
646C8C2×Q8×D1714yes—
647C8C2×Q8×D1714yes—
648C22—174no—
649C22—348no—
650C22—342no—
651C22—342no—
652C22C4⋊Q8×D1712yes—
653C22#1176361812yes—
654C22#1176361912yes—
655C22C22×D4×D1711yescharacteristic
656C4—22no—
657C4—22no—
658C4—42no—
659C4—42no—
660C4—42no—
661C4—42no—
662C4—174no—
663C4—342no—
664C4—342no—
665C4—682no—
666C4—682no—
667C4—682no—
668C4—682no—
669C4C4⋊Q8×D1712yes—
670C4C22×Q8×D1711yescharacteristic
671C4C22×Q8×D1711yescharacteristic
672C2—344no—
673C2#1453931114yesdirect product factor
674C2C2×C4⋊Q8×D1711yescharacteristic
675C2C2×#1176361811yescharacteristic
676C2C2×#1176361911yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#501C2
socleC23×C17C22×D4
prime radicalC23×D17C2×D4
hypercenterC2×#501D17
hypocenterC17C2×#3163
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
3. #14539311C2direct (N × H)
4. C2×#11763218C2semidirect
5. C2×#11763217C2semidirect
6. C2×#11763216C2semidirect
7. C2×#11763210C2semidirect
8. C2×#11763208C2semidirect
9. C2×#11763206C2semidirect
10. C2×#11763205C2semidirect
16. C2×C17×#501C2semidirect
42. #11763218C22semidirect
43. #11763217C22semidirect
44. #11763216C22semidirect
45. #11763210C22semidirect
46. #11763208C22semidirect
47. #11763206C22semidirect
48. #11763205C22semidirect
71. C17×#501C22semidirect
126. C2×#63218Q8semidirect
128. C2×C8×D17Q8semidirect
259. #63218C2×Q8semidirect
260. C8×D17C2×Q8semidirect
316. C2×#501D17semidirect
380. #501C2×D17semidirect
410. C2×C17#3163semidirect
516. C17C2×#3163semidirect
673. C2#14539311direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117634392
C2×#117634362
#145393112
C2×#117632182
C2×#117632172
C2×#117632162
C2×#117632102
C2×#117632082
C2×#117632062
C2×#117632052
C2×#117628502
C2×#117628482
C2×#117628462
C2×#106×D172
C2×#117627662
C2×C17×#5012
C2×#316317