Finite Group Databasebeta

← C2×#14541313 #17912950

Subgroups — C2×#14541313 #17912950

Order 4352.

1834 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763533C211yesmaximal, characteristic
2C2×#11763497C211yesmaximal, characteristic
3#14541313C2116yesmaximal, direct product factor
4C2×#11763146C211yesmaximal, characteristic, complemented
5C2×#11763153C211yesmaximal, characteristic, complemented
6C2×#11763153C211yesmaximal, characteristic, complemented
7C2×#11763152C211yesmaximal, characteristic, complemented
8C2×#11763113C211yesmaximal, characteristic, complemented
9C2×#11763101C211yesmaximal, characteristic, complemented
10C2×#11763068C211yesmaximal, characteristic, complemented
11C2×#11763051C211yesmaximal, characteristic, complemented
12C2×#11762917C211yesmaximal, characteristic, complemented
13C2×#11762882C211yesmaximal, characteristic
14C2×#11762850C211yesmaximal, characteristic, complemented
15C2×#11762844C211yesmaximal, characteristic, complemented
16C2×C17×#501C211yesmaximal, characteristic, complemented
17C22×Dic68C2211yescharacteristic
18C22×#63218C2211yescharacteristic
19C22×C8×D17C2211yescharacteristic
20#11763533—24no—
21#11763533C2218yes—
22#11763497—24no—
23#11763497C2218yes—
24C2×#10587584—21no—
25C2×#10587584—21no—
26C2×#10587584—21no—
27C2×#10587576—21no—
28C2×#10587633—21no—
29C2×#10587580—21no—
30C2×#10587583C2211yescharacteristic
31C2×#10587583C2211yescharacteristic
32C2×#10587583C2211yescharacteristic
33C2×#10587583C2211yescharacteristic
34C2×Q8×Dic17—21no—
35C2×C4×Dic34C2211yescharacteristic
36C2×C4×Dic34C2211yescharacteristic
37C2×C4×D68C2211yescharacteristic
38C2×#10587578—21no—
39C2×#10587578C2211yescharacteristic
40C2×#10587578C2211yescharacteristic
41C2×#10587578C2211yescharacteristic
42C2×C4⋊C4×D17C2211yescharacteristic
43#11763153C2218yescomplemented
44#11763153C2218yescomplemented
45#11763152C2218yescomplemented
46#11763146C2218yescomplemented
47#11763113C2218yescomplemented
48#11763101C2218yescomplemented
49#11763068C2218yescomplemented
50#11763051C2218yescomplemented
51#11762917C2218yescomplemented
52#11762882C2218yes—
53#11762850C2218yescomplemented
54#11762844C2218yescomplemented
55C2×#10587478C2211yescharacteristic
56C2×#10587478C2211yescharacteristic
57C2×#10587478C2211yescharacteristic
58C2×#10587488C2211yescharacteristic
59C2×#10587479C2211yescharacteristic
60C2×C4⋊#3622C2211yescharacteristic
61C2×#10587487C2211yescharacteristic
62C2×#10587487C2211yescharacteristic
63C2×#10587481C2211yescharacteristic
64C2×#10587481C2211yescharacteristic
65C2×#10587481C2211yescharacteristic
66C2×#10587481C2211yescharacteristic
67C2×#10587491C2211yescharacteristic
68C2×#10587491C2211yescharacteristic
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×D68D411yescharacteristic
79C22×C4×D17—21no—
80C22×C4×D17C2311yescharacteristic
81C22×C4×D17C2311yescharacteristic
82C22×Dic34C2311yescharacteristic
83C22×Dic34C2311yescharacteristic
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#10587633—28no—
99Q8×Dic17—28no—
100C2×#63227—21no—
101C2×#63227—21no—
102C2×#63227—21no—
103C2×#63227—21no—
104C2×#63227—21no—
105C2×#63227—21no—
106C2×#63227—21no—
107C2×#63227D411yescharacteristic
108C2×#63227D411yescharacteristic
109C2×C4⋊Dic17—21no—
110C2×C4⋊Dic17—21no—
111C2×C4⋊Dic17—21no—
112C2×C4⋊Dic17—21no—
113C2×C4⋊Dic17D411yescharacteristic
114C2×C4⋊Dic17C2311yescharacteristic
115C2×C4⋊Dic17C2311yescharacteristic
116C2×#63225—21no—
117C2×#63225—21no—
118C2×#63225—21no—
119C2×C4×Dic17—21no—
120C2×C4×Dic17—21no—
121C2×C4×Dic17—21no—
122C2×C4×Dic17—21no—
123C2×C4×Dic17—21no—
124C22×#3622C2311yescharacteristic
125C22×#3622C2311yescharacteristic
126C2×Dic68—24no—
127C2×Dic68C2314yes—
128C2×#63218—24no—
129C2×#63218C2314yes—
130C2×C8×D17—24no—
131C2×C8×D17C2314yes—
132#10587584—28no—
133#10587584—28no—
134#10587584—28no—
135#10587583—22no—
136#10587583—22no—
137#10587583—22no—
138#10587583—22no—
139#10587583C2314yes—
140#10587583C2314yes—
141#10587583C2314yes—
142#10587583C2314yes—
143#10587580—28no—
144#10587578—28no—
145#10587578—22no—
146#10587578—22no—
147#10587578—22no—
148#10587578C2314yes—
149#10587578C2314yes—
150#10587578C2314yes—
151C4⋊C4×D17—22no—
152C4⋊C4×D17C2314yes—
153#10587576—28no—
154C4×D68D414yes—
155C4×D68C2314yes—
156C4×Dic34—22no—
157C4×Dic34—22no—
158C4×Dic34C2314yes—
159C4×Dic34C2314yes—
160C17×#107C2314yes—
161C17×#107C2314yes—
162C17×#106C2314yes—
163C17×#106C2314yes—
164C17×#97C2314yes—
165#10587491C2314yes—
166#10587491C2314yes—
167#10587488C2314yes—
168#10587487C2314yes—
169#10587487C2314yes—
170#10587481C2314yes—
171#10587481C2314yes—
172#10587481C2314yes—
173#10587481C2314yes—
174#10587479C2314yes—
175#10587478C2314yes—
176#10587478C2314yes—
177#10587478C2314yes—
178C4⋊#3622C2314yes—
179C23×D17C2×D411yescharacteristic
180C23×D17C2×D411yescharacteristic
181C2×Q8×C17—24no—
182C2×Q8×C17—44no—
183C22×C4×C17—21no—
184C22×C4×C17—21no—
185C22×C4×C17—21no—
186C22×C4×C17—21no—
187C22×C4×C17C2×D411yescharacteristic
188C22×C4×C17C2×D411yescharacteristic
189C22×C4×C17C2411yescharacteristic
190C22×Dic17—21no—
191C22×Dic17—21no—
192C22×Dic17—21no—
193C22×Dic17—21no—
194C22×Dic17C2×D411yescharacteristic
195C22×Dic17C2×D411yescharacteristic
196C2×D68—42no—
197C2×D68C2×D414yes—
198C2×C4×D17—22no—
199C2×C4×D17—22no—
200C2×C4×D17—22no—
201C2×C4×D17—22no—
202C2×C4×D17—24no—
203C2×C4×D17—44no—
204C2×C4×D17C2×D412yes—
205C2×C4×D17C2×D412yes—
206C2×C4×D17C2412yes—
207C2×C4×D17C2412yes—
208C2×Dic34—22no—
209C2×Dic34—22no—
210C2×Dic34—22no—
211C2×Dic34—22no—
212C2×Dic34—21no—
213C2×Dic34—21no—
214C2×Dic34C2412yes—
215C2×Dic34C2412yes—
216C2×C8×C17—22no—
217C2×C8×C17#4114yes—
218C2×C8×C17C2412yes—
219C2×C8×C17C2412yes—
220C4⋊C4×C17—21no—
221C4⋊C4×C17—21no—
222C4⋊C4×C17—24no—
223C4⋊C4×C17—24no—
224C4⋊C4×C17—21no—
225C4⋊C4×C17—21no—
226C4⋊C4×C17—24no—
227C4⋊C4×C17C2412yes—
228C4⋊C4×C17C2412yes—
229C4⋊C4×C17C2412yes—
230C4⋊C4×C17C2412yes—
231C42×C17C2×D412yes—
232C42×C17C2412yes—
233#63227—24no—
234#63227—24no—
235#63227—24no—
236#63227—24no—
237#63227—24no—
238#63227—24no—
239#63227—24no—
240#63227C2×D414yes—
241#63227C2×D414yes—
242C4⋊Dic17—21no—
243C4⋊Dic17—21no—
244C4⋊Dic17—24no—
245C4⋊Dic17—24no—
246C4⋊Dic17—24no—
247C4⋊Dic17—24no—
248C4⋊Dic17C2×D414yes—
249C4⋊Dic17C2412yes—
250C4⋊Dic17C2412yes—
251#63225—24no—
252#63225—24no—
253#63225—24no—
254C4×Dic17—24no—
255C4×Dic17—24no—
256C4×Dic17—24no—
257C4×Dic17—24no—
258C4×Dic17—24no—
259C2×#3622—22no—
260C2×#3622—22no—
261C2×#3622C2412yes—
262C2×#3622C2412yes—
263Dic68—28no—
264#63218—28no—
265C8×D17—28no—
266C2×#3349—171nomaximal, Sylow
267C23×C17C22×D411yescharacteristic
268C22×D17—22no—
269C22×D17—22no—
270C22×D17—22no—
271C22×D17—22no—
272C22×D17—22no—
273C22×D17—22no—
274C22×D17C22×D412yes—
275C22×D17C22×D412yes—
276Q8×C17—48no—
277C2×C4×C17—22no—
278C2×C4×C17—22no—
279C2×C4×C17—22no—
280C2×C4×C17—22no—
281C2×C4×C17—22no—
282C2×C4×C17—22no—
283C2×C4×C17—42no—
284C2×C4×C17—42no—
285C2×C4×C17—42no—
286C2×C4×C17—42no—
287C2×C4×C17C22×D412yes—
288C2×C4×C17C22×D412yes—
289C2×C4×C17C22×D411yescharacteristic
290C2×C4×C17C2×#4112yes—
291C2×C4×C172−1+412yes—
292C2×C4×C17C2511yescharacteristic
293C2×Dic17—22no—
294C2×Dic17—22no—
295C2×Dic17—22no—
296C2×Dic17—22no—
297C2×Dic17—22no—
298C2×Dic17—22no—
299C2×Dic17—42no—
300C2×Dic17—42no—
301C2×Dic17—42no—
302C2×Dic17—42no—
303C2×Dic17C22×D412yes—
304C2×Dic17C22×D412yes—
305D68—44no—
306C4×D17—24no—
307C4×D17—24no—
308C4×D17—22no—
309C4×D17—22no—
310C4×D17—22no—
311C4×D17—22no—
312C4×D17—48no—
313Dic34—22no—
314Dic34—22no—
315Dic34—22no—
316Dic34—22no—
317Dic34—42no—
318Dic34—42no—
319C8×C17—22no—
320C8×C17C2×#4114yes—
321#3622—22no—
322#3622—22no—
323C2×#556—171no—
324C2×#552—171no—
325#3349—1716no—
326C2×#501D1711yescharacteristic, complemented
327C2×#484—171no—
328C2×#485—171no—
329C2×#485—171no—
330C2×#485—171no—
331C2×#479—171no—
332C2×#477—171no—
333C2×#470—171no—
334C2×#467—171no—
335C2×#441—171no—
336C2×#435—171no—
337C2×#428—171no—
338C2×#427—171no—
339C22×C17#54712yes—
340C22×C17#57512yes—
341C22×C17#57812yes—
342C22×C17C23×D411yescharacteristic
343C2×D17—22no—
344C2×D17—22no—
345C2×D17—22no—
346C2×D17—22no—
347C2×D17—22no—
348C2×D17—22no—
349C2×D17—44no—
350C2×D17—44no—
351C4×C17—22no—
352C4×C17—22no—
353C4×C17—42no—
354C4×C17—42no—
355C4×C17—42no—
356C4×C17—42no—
357C4×C17#54712yes—
358C4×C17C22×#4111yescharacteristic
359C4×C17C2×2−1+411yescharacteristic
360Dic17—22no—
361Dic17—22no—
362Dic17—42no—
363Dic17—42no—
364Dic17—42no—
365Dic17—42no—
366C22×Q16—171no—
367C22×M16—171no—
368C23×C8—171no—
369#556—178no—
370#556—344no—
371#552—178no—
372#552—344no—
373C2×C4⋊Q8C2×D1711yescharacteristic
374C2×#126—341no—
375C2×#126—341no—
376C2×#126—341no—
377C2×#125—341no—
378C2×#125C2×D1711yescharacteristic
379C2×#124—341no—
380C2×#123—341no—
381C2×C22⋊Q8—171no—
382C2×C22⋊Q8—171no—
383C2×C22⋊Q8—171no—
384C2×C22⋊Q8—171no—
385C2×C4×Q8—171no—
386C2×C4×Q8—171no—
387C2×C4×Q8—341no—
388C2×C4×D4—171no—
389C2×#117—171no—
390C2×#117—171no—
391C2×#117—171no—
392C2×#117—341no—
393C22×C4⋊C4—171no—
394#501C2×D1718yescomplemented
395#485—178no—
396#485—178no—
397#485—178no—
398#484—178no—
399#479—178no—
400#477—178no—
401#470—178no—
402#467—178no—
403#441—178no—
404#435—178no—
405#428—178no—
406#427—178no—
407C2×#107—171no—
408C2×#107—171no—
409C2×#107—171no—
410C2×#107C2×D1711yescharacteristic
411C2×#107C2×D1711yescharacteristic
412C2×#106—171no—
413C2×#106—171no—
414C2×#106C2×D1711yescharacteristic
415C2×#106C2×D1711yescharacteristic
416C2×C4⋊C8—171no—
417C2×#103—171no—
418C2×#103—171no—
419C2×#103—171no—
420C2×#103—171no—
421C2×#103—171no—
422C2×#103—171no—
423C2×C22⋊C8—171no—
424C2×C22⋊C8—171no—
425C2×#97C2×D1711yescharacteristic
426C2×C17#334914yescomplemented
427C2×C17C2×#54711yescharacteristic
428C2×C17C2×#57511yescharacteristic
429C2×C17C2×#57811yescharacteristic
430D17—42no—
431D17—42no—
432C22×Q8—21no—
433C22×Q8—171no—
434C22×Q8—171no—
435C22×D4—171no—
436C23×C4—171no—
437C23×C4—171no—
438C23×C4—341no—
439C2×Q16—174no—
440C2×Q16—344no—
441C2×M16—174no—
442C2×M16—344no—
443C22×C8—171no—
444C22×C8—171no—
445C22×C8—174no—
446C22×C8—344no—
447C22×C8C22×D1711yescharacteristic
448C22×C8C22×D1711yescharacteristic
449C4⋊Q8—22no—
450C4⋊Q8C22×D1714yes—
451#126—348no—
452#126—348no—
453#126—348no—
454#125—22no—
455#125—348no—
456#125C22×D1714yes—
457#124—348no—
458#123—348no—
459C22⋊Q8—174no—
460C22⋊Q8—174no—
461C22⋊Q8—174no—
462C22⋊Q8—174no—
463C22⋊Q8—342no—
464C22⋊Q8—342no—
465C22⋊Q8—342no—
466C22⋊Q8—342no—
467C4×Q8—174no—
468C4×Q8—174no—
469C4×Q8—348no—
470C4×Q8—342no—
471C4×Q8—342no—
472C4×D4—174no—
473C4×D4—174no—
474#117—174no—
475#117—174no—
476#117—174no—
477#117—348no—
478#117—342no—
479#117—342no—
480#117—342no—
481C2×C4⋊C4—21no—
482C2×C4⋊C4—21no—
483C2×C4⋊C4—21no—
484C2×C4⋊C4—171no—
485C2×C4⋊C4—171no—
486C2×C4⋊C4—171no—
487C2×C4⋊C4—174no—
488C2×C4⋊C4—342no—
489C2×C4⋊C4—341no—
490C2×C4⋊C4—341no—
491C2×C4⋊C4—341no—
492C2×C4⋊C4—341no—
493C2×C4⋊C4—341no—
494C2×C4⋊C4—341no—
495C2×C4⋊C4—341no—
496C2×C4⋊C4C22×D1711yescharacteristic
497C2×C4⋊C4C22×D1711yescharacteristic
498C2×C4⋊C4C22×D1711yescharacteristic
499C2×C4⋊C4C22×D1711yescharacteristic
500C2×C22⋊C4—171no—
501C2×C22⋊C4—171no—
502C2×C22⋊C4—341no—
503C2×C22⋊C4—341no—
504C2×C22⋊C4—341no—
505C2×C22⋊C4—341no—
506C2×C22⋊C4—341no—
507C2×C22⋊C4—341no—
508C2×C22⋊C4—341no—
509C2×C42—341no—
510C2×C42—341no—
511C2×C42—341no—
512C2×C42—341no—
513C2×C42—341no—
514C2×C42C22×D1711yescharacteristic
515#107—174no—
516#107—174no—
517#107—174no—
518#107C22×D1714yes—
519#107C22×D1714yes—
520#106—174no—
521#106—174no—
522#106C22×D1714yes—
523#106C22×D1714yes—
524C4⋊C8—174no—
525#103—174no—
526#103—174no—
527#103—174no—
528#103—174no—
529#103—174no—
530#103—174no—
531C22⋊C8—174no—
532C22⋊C8—174no—
533#97C22×D1714yes—
534C17C2×#334911yescharacteristic, complemented, Sylow
535C24—171no—
536C24—171no—
537C2×Q8—24no—
538C2×Q8—44no—
539C2×Q8—172no—
540C2×Q8—172no—
541C2×Q8—341no—
542C2×Q8—341no—
543C2×Q8—342no—
544C2×Q8—342no—
545C2×Q8—342no—
546C2×Q8—342no—
547C2×D4—174no—
548C2×D4—682no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—171no—
554C22×C4—171no—
555C22×C4—172no—
556C22×C4—172no—
557C22×C4—172no—
558C22×C4—172no—
559C22×C4—344no—
560C22×C4—342no—
561C22×C4—342no—
562C22×C4—342no—
563C22×C4—342no—
564C22×C4—341no—
565C22×C4—341no—
566C22×C4—341no—
567C22×C4—341no—
568C22×C4—684no—
569C22×C4D4×D1711yescharacteristic
570C22×C4D4×D1711yescharacteristic
571C22×C4C23×D1711yescharacteristic
572Q16—348no—
573M16—348no—
574C2×C8—22no—
575C2×C8—172no—
576C2×C8—172no—
577C2×C8—342no—
578C2×C8—342no—
579C2×C8—348no—
580C2×C8#6325614yes—
581C2×C8C23×D1712yes—
582C2×C8C23×D1712yes—
583C4⋊C4—24no—
584C4⋊C4—24no—
585C4⋊C4—24no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—174no—
591C4⋊C4—172no—
592C4⋊C4—172no—
593C4⋊C4—344no—
594C4⋊C4—344no—
595C4⋊C4—344no—
596C4⋊C4—344no—
597C4⋊C4—344no—
598C4⋊C4—341no—
599C4⋊C4—341no—
600C4⋊C4—344no—
601C4⋊C4—344no—
602C4⋊C4C23×D1712yes—
603C4⋊C4C23×D1712yes—
604C4⋊C4C23×D1712yes—
605C4⋊C4C23×D1712yes—
606C22⋊C4—174no—
607C22⋊C4—174no—
608C22⋊C4—344no—
609C22⋊C4—344no—
610C22⋊C4—344no—
611C22⋊C4—344no—
612C22⋊C4—344no—
613C22⋊C4—344no—
614C22⋊C4—344no—
615C42—344no—
616C42—344no—
617C42—344no—
618C42—344no—
619C42—344no—
620C42D4×D1712yes—
621C42C23×D1712yes—
622C23—172no—
623C23—172no—
624C23—342no—
625C23—342no—
626C23—342no—
627C23—342no—
628C23—342no—
629C23—342no—
630C23C2×D4×D1711yescharacteristic
631Q8—48no—
632Q8—342no—
633Q8—342no—
634Q8—342no—
635Q8—342no—
636Q8—682no—
637Q8—682no—
638D4—684no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—172no—
650C2×C4—172no—
651C2×C4—342no—
652C2×C4—342no—
653C2×C4—344no—
654C2×C4—344no—
655C2×C4—342no—
656C2×C4—342no—
657C2×C4—342no—
658C2×C4—342no—
659C2×C4—342no—
660C2×C4—342no—
661C2×C4—342no—
662C2×C4—342no—
663C2×C4—688no—
664C2×C4—682no—
665C2×C4—682no—
666C2×C4—682no—
667C2×C4—682no—
668C2×C4C2×D4×D1712yes—
669C2×C4C2×D4×D1712yes—
670C2×C4C2×D4×D1711yescharacteristic
671C2×C4C2×#6325612yes—
672C2×C4#1058769412yes—
673C2×C4C24×D1711yescharacteristic
674C8—22no—
675C8—342no—
676C8—342no—
677C8C2×#6325614yes—
678C22—342no—
679C22—342no—
680C22—342no—
681C22—342no—
682C22—342no—
683C22—342no—
684C22—684no—
685C22—684no—
686C22#1176346212yes—
687C22#1176360512yes—
688C22#1176362512yes—
689C22C22×D4×D1711yescharacteristic
690C4—22no—
691C4—22no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—42no—
696C4—342no—
697C4—342no—
698C4—682no—
699C4—682no—
700C4—682no—
701C4—682no—
702C4#1176346212yes—
703C4C22×#6325611yescharacteristic
704C4C2×#1058769411yescharacteristic
705C2—682no—
706C2—682no—
707C2#1454131314yesdirect product factor
708C2C2×#1176346211yescharacteristic
709C2C2×#1176360511yescharacteristic
710C2C2×#1176362511yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#501C2
socleC23×C17C22×D4
prime radicalC22×D68D4
hypercenterC2×#501D17
hypocenterC17C2×#3349
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. #14541313C2direct (N × H)
4. C2×#11763146C2semidirect
5. C2×#11763153C2semidirect
6. C2×#11763153C2semidirect
7. C2×#11763152C2semidirect
8. C2×#11763113C2semidirect
9. C2×#11763101C2semidirect
10. C2×#11763068C2semidirect
11. C2×#11763051C2semidirect
12. C2×#11762917C2semidirect
14. C2×#11762850C2semidirect
15. C2×#11762844C2semidirect
16. C2×C17×#501C2semidirect
43. #11763153C22semidirect
44. #11763153C22semidirect
45. #11763152C22semidirect
46. #11763146C22semidirect
47. #11763113C22semidirect
48. #11763101C22semidirect
49. #11763068C22semidirect
50. #11763051C22semidirect
51. #11762917C22semidirect
53. #11762850C22semidirect
54. #11762844C22semidirect
71. C17×#501C22semidirect
326. C2×#501D17semidirect
394. #501C2×D17semidirect
426. C2×C17#3349semidirect
534. C17C2×#3349semidirect
707. C2#14541313direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117635332
C2×#117634972
#145413132
C2×#117631462
C2×#117631532
C2×#117631522
C2×#117631132
C2×#117631012
C2×#117630682
C2×#117630512
C2×#117629172
C2×#117628822
C2×#117628502
C2×#117628442
C2×C17×#5012
C2×#334917