Finite Group Databasebeta

← C2×#14541525 #17914048

Subgroups — C2×#14541525 #17914048

Order 4352.

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×Dic34C211yesmaximal, characteristic, complemented
2C2×#11763531C211yesmaximal, characteristic
3#14541525C2116yesmaximal, direct product factor
4C2×#11763170C211yesmaximal, characteristic
5C2×#11763169C211yesmaximal, characteristic
6C2×#11763158C211yesmaximal, characteristic, complemented
7C2×#11763094C211yesmaximal, characteristic, complemented
8C2×#11763093C211yesmaximal, characteristic, complemented
9C2×#11763098C211yesmaximal, characteristic
10C2×#11763033C211yesmaximal, characteristic
11C2×#11763031C211yesmaximal, characteristic
12C2×#11763017C211yesmaximal, characteristic, complemented
13C2×#11762937C211yesmaximal, characteristic, complemented
14C2×#11762913C211yesmaximal, characteristic, complemented
15C2×#11762894C211yesmaximal, characteristic
16C2×C17×#441C211yesmaximal, characteristic, complemented
17C22×#63231C2211yescharacteristic
18C22×#63230C2211yescharacteristic
19Q8×Dic34—24no—
20Q8×Dic34C2218yescomplemented
21#11763531—24no—
22#11763531C2218yes—
23C2×#10587555—21no—
24C2×#10587555C2211yescharacteristic
25C2×#10587574—21no—
26C2×#10587574—21no—
27C2×#10587574C2211yescharacteristic
28C2×#10587574C2211yescharacteristic
29C2×#10587630C2211yescharacteristic
30C2×#10587584—21no—
31C2×#10587562—21no—
32C2×#10587633C2211yescharacteristic
33C2×#10587561C2211yescharacteristic
34C2×#10587582—21no—
35C2×Q8×Dic17C2211yescharacteristic
36C2×Q8×Dic17C2211yescharacteristic
37C2×C4×Dic34—21no—
38C2×C4×Dic34C2211yescharacteristic
39C2×#10587573C2211yescharacteristic
40C2×#10587579C2211yescharacteristic
41C2×#10587558—21no—
42#11763170C2218yes—
43#11763169C2218yes—
44#11763158C2218yescomplemented
45#11763098C2218yes—
46#11763094C2218yescomplemented
47#11763093C2218yescomplemented
48#11763033C2218yes—
49#11763031C2218yes—
50#11763017C2218yescomplemented
51#11762937C2218yescomplemented
52#11762913C2218yescomplemented
53#11762894C2218yes—
54C2×#10587479C2211yescharacteristic
55C2×#10587479C2211yescharacteristic
56C2×C4⋊#3622C2211yescharacteristic
57C2×#10587485C2211yescharacteristic
58C2×#10587485C2211yescharacteristic
59C2×#10587487C2211yescharacteristic
60C2×#10587487C2211yescharacteristic
61C2×#10587506C2211yescharacteristic
62C2×#10587506C2211yescharacteristic
63C2×#10587481C2211yescharacteristic
64C2×#10587492C2211yescharacteristic
65C2×#10587492C2211yescharacteristic
66C2×#10587480C2211yescharacteristic
67C2×#10587486C2211yescharacteristic
68C2×C8×Dic17C2211yescharacteristic
69C22×Q16×C17C2211yescharacteristic
70C2×C4×Q8×C17C2211yescharacteristic
71C2×C4×Q8×C17C2211yescharacteristic
72C17×#441C2218yescomplemented
73C2×C17×#106C2211yescharacteristic
74C2×C17×#103C2211yescharacteristic
75C2×C17×#103C2211yescharacteristic
76C2×C17×#97C2211yescharacteristic
77C22×Q8×C17C2311yescharacteristic
78C22×Q8×C17C2311yescharacteristic
79C22×D68C2311yescharacteristic
80C22×C4×D17—21no—
81C22×Dic34—21no—
82C22×Dic34—21no—
83C22×Dic34—21no—
84C22×Dic34D411yescharacteristic
85C22×Dic34C2311yescharacteristic
86C2×Q16×C17—24no—
87C2×Q16×C17C2314yes—
88C22×C8×C17C2311yescharacteristic
89C22×C8×C17C2311yescharacteristic
90C4×Q8×C17—22no—
91C4×Q8×C17—22no—
92C4×Q8×C17C2314yes—
93C4×Q8×C17C2314yes—
94C2×C4⋊C4×C17—21no—
95C2×C4⋊C4×C17—21no—
96C2×C4⋊C4×C17C2311yescharacteristic
97C2×C4⋊C4×C17C2311yescharacteristic
98C2×C42×C17—21no—
99C2×C42×C17—21no—
100C2×C42×C17C2311yescharacteristic
101#10587633—22no—
102#10587633C2314yes—
103Q8×Dic17—22no—
104Q8×Dic17—22no—
105Q8×Dic17C2314yes—
106Q8×Dic17C2314yes—
107#10587630—22no—
108#10587630C2314yes—
109C2×#63231—24no—
110C2×#63231C2314yes—
111C2×#63230—24no—
112C2×#63230C2314yes—
113C2×#63227—21no—
114C2×#63227—21no—
115C2×#63227—21no—
116C2×#63227—21no—
117C2×#63227—21no—
118C2×C4⋊Dic17—21no—
119C2×C4⋊Dic17—21no—
120C2×C4⋊Dic17—21no—
121C2×C4⋊Dic17D411yescharacteristic
122C2×C4⋊Dic17C2311yescharacteristic
123C2×C4⋊Dic17C2311yescharacteristic
124C2×#63225—21no—
125C2×#63225—21no—
126C2×#63225—21no—
127C2×#63225—21no—
128C2×#63225—21no—
129C2×#63225D411yescharacteristic
130C2×#63225D411yescharacteristic
131C2×C4×Dic17—21no—
132C2×C4×Dic17—21no—
133C2×C4×Dic17—21no—
134C2×C4×Dic17C2311yescharacteristic
135C2×C4×Dic17C2311yescharacteristic
136C22×#3622C2311yescharacteristic
137C22×#3622C2311yescharacteristic
138#10587584—28no—
139#10587582—28no—
140#10587579—22no—
141#10587579C2314yes—
142#10587574—28no—
143#10587574—28no—
144#10587574—22no—
145#10587574—22no—
146#10587574C2314yes—
147#10587574C2314yes—
148#10587573—22no—
149#10587573C2314yes—
150#10587562—28no—
151#10587561—22no—
152#10587561C2314yes—
153#10587558—28no—
154#10587555—28no—
155#10587555—22no—
156#10587555C2314yes—
157C4×Dic34—28no—
158C4×Dic34D414yes—
159C4×Dic34C2314yes—
160C17×#106C2314yes—
161C17×#103C2314yes—
162C17×#103C2314yes—
163C17×#97C2314yes—
164#10587506C2314yes—
165#10587506C2314yes—
166#10587492C2314yes—
167#10587492C2314yes—
168#10587487C2314yes—
169#10587487C2314yes—
170#10587486C2314yes—
171#10587485C2314yes—
172#10587485C2314yes—
173C8×Dic17C2314yes—
174#10587481C2314yes—
175#10587480C2314yes—
176#10587479C2314yes—
177#10587479C2314yes—
178C4⋊#3622C2314yes—
179C23×D17—21no—
180C2×Q8×C17—21no—
181C2×Q8×C17—21no—
182C2×Q8×C17—22no—
183C2×Q8×C17—22no—
184C2×Q8×C17—22no—
185C2×Q8×C17#4114yes—
186C2×Q8×C17C2412yes—
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×C17C2411yescharacteristic
195C22×Dic17—21no—
196C22×Dic17—21no—
197C22×Dic17—21no—
198C22×Dic17C2×D411yescharacteristic
199C22×Dic17C2×D411yescharacteristic
200C22×Dic17C2×D411yescharacteristic
201C22×Dic17C2×D411yescharacteristic
202C2×D68—22no—
203C2×D68—22no—
204C2×D68—21no—
205C2×D68C2412yes—
206C2×C4×D17—24no—
207C2×C4×D17—44no—
208C2×Dic34—24no—
209C2×Dic34—22no—
210C2×Dic34—22no—
211C2×Dic34—21no—
212C2×Dic34—24no—
213C2×Dic34—24no—
214C2×Dic34—24no—
215C2×Dic34—82no—
216C2×Dic34—82no—
217C2×Dic34—82no—
218C2×Dic34C2×D414yes—
219C2×Dic34C2412yes—
220Q16×C17—28no—
221C2×C8×C17—22no—
222C2×C8×C17—22no—
223C2×C8×C17C2412yes—
224C2×C8×C17C2412yes—
225C4⋊C4×C17—21no—
226C4⋊C4×C17—24no—
227C4⋊C4×C17—21no—
228C4⋊C4×C17—24no—
229C4⋊C4×C17C2412yes—
230C4⋊C4×C17C2412yes—
231C42×C17—24no—
232C42×C17—24no—
233C42×C17C2×D412yes—
234C42×C17C2412yes—
235#63231—28no—
236#63230—28no—
237#63227—24no—
238#63227—24no—
239#63227—24no—
240#63227—24no—
241#63227—24no—
242C4⋊Dic17—24no—
243C4⋊Dic17—21no—
244C4⋊Dic17—21no—
245C4⋊Dic17—24no—
246C4⋊Dic17—24no—
247C4⋊Dic17C2×D414yes—
248C4⋊Dic17C2412yes—
249C4⋊Dic17C2412yes—
250#63225—24no—
251#63225—24no—
252#63225—24no—
253#63225—24no—
254#63225—24no—
255#63225C2×D414yes—
256#63225C2×D414yes—
257C4×Dic17—24no—
258C4×Dic17—24no—
259C4×Dic17—24no—
260C4×Dic17C2×D412yes—
261C4×Dic17C2×D412yes—
262C4×Dic17C2412yes—
263C4×Dic17C2412yes—
264C2×#3622—22no—
265C2×#3622—22no—
266C2×#3622C2412yes—
267C2×#3622C2412yes—
268C2×#3369—171nomaximal, Sylow
269C23×C17C22×D411yescharacteristic
270C22×D17—22no—
271C22×D17—42no—
272C22×D17—42no—
273C22×D17—42no—
274Q8×C17—24no—
275Q8×C17—22no—
276Q8×C17—22no—
277Q8×C17—22no—
278Q8×C17—42no—
279Q8×C17C2×#4114yes—
280C2×C4×C17—24no—
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—42no—
288C2×C4×C17—42no—
289C2×C4×C17—42no—
290C2×C4×C17C22×D412yes—
291C2×C4×C17C22×D412yes—
292C2×C4×C17C22×D411yescharacteristic
293C2×C4×C17C2×#4112yes—
294C2×C4×C172−1+412yes—
295C2×C4×C17C2511yescharacteristic
296C2×Dic17—22no—
297C2×Dic17—22no—
298C2×Dic17—22no—
299C2×Dic17—22no—
300C2×Dic17—22no—
301C2×Dic17—22no—
302C2×Dic17—42no—
303C2×Dic17—42no—
304C2×Dic17—42no—
305C2×Dic17#13714yes—
306C2×Dic17C22×D412yes—
307C2×Dic17C22×D412yes—
308C2×Dic17C22×D412yes—
309C2×Dic17C22×D412yes—
310D68—22no—
311D68—22no—
312D68—42no—
313C4×D17—48no—
314Dic34—28no—
315Dic34—22no—
316Dic34—22no—
317Dic34—42no—
318Dic34—84no—
319Dic34—84no—
320Dic34—84no—
321C8×C17—22no—
322C8×C17—22no—
323#3622—22no—
324#3622—22no—
325C2×Q82—171no—
326C2×#556—171no—
327#3369—1716no—
328C2×#489—171no—
329C2×#489—171no—
330C2×#487—171no—
331C2×#475—171no—
332C2×#475—171no—
333C2×#476—171no—
334C2×#464—171no—
335C2×#464—171no—
336C2×#462—171no—
337C2×#446—171no—
338C2×#441—171no—
339C2×#441D1711yescharacteristic, complemented
340C2×C4×SD16—171no—
341C22×C17#54812yes—
342C22×C17C2×#13712yes—
343C22×C17#57712yes—
344C22×C17C23×D411yescharacteristic
345C2×D17—42no—
346C2×D17—42no—
347C2×D17—42no—
348C2×D17—84no—
349C4×C17—24no—
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—22no—
359Dic17—22no—
360Dic17—22no—
361Dic17—42no—
362Dic17—42no—
363Dic17—42no—
364Dic17C2×#13714yes—
365C22×Q16—171no—
366C22×Q16C2×D1711yescharacteristic
367C22×SD16—171no—
368Q82—178no—
369Q82—344no—
370#556—178no—
371#556—344no—
372C2×C4⋊Q8—171no—
373C2×C4⋊Q8—171no—
374C2×C4⋊Q8—171no—
375C2×C4⋊Q8—171no—
376C2×C4⋊Q8—341no—
377C2×C4⋊Q8—341no—
378C2×C4⋊Q8—341no—
379C2×#126—341no—
380C2×#126—341no—
381C2×#124—171no—
382C2×#124—171no—
383C2×C22⋊Q8—341no—
384C2×C4×Q8—171no—
385C2×C4×Q8—171no—
386C2×C4×Q8—171no—
387C2×C4×Q8—171no—
388C2×C4×Q8—341no—
389C2×C4×Q8C2×D1711yescharacteristic
390C2×C4×Q8C2×D1711yescharacteristic
391C2×C4×D4—171no—
392C2×#117—341no—
393#489—178no—
394#489—178no—
395#487—178no—
396#476—178no—
397#475—178no—
398#475—178no—
399#464—178no—
400#464—178no—
401#462—178no—
402#446—178no—
403#441—178no—
404#441C2×D1718yescomplemented
405C4×SD16—178no—
406C2×#106—171no—
407C2×#106—171no—
408C2×#106C2×D1711yescharacteristic
409C2×C4⋊C8—171no—
410C2×C4⋊C8—171no—
411C2×C4⋊C8—171no—
412C2×#103—171no—
413C2×#103—171no—
414C2×#103—171no—
415C2×#103—171no—
416C2×#103—171no—
417C2×#103C2×D1711yescharacteristic
418C2×#103C2×D1711yescharacteristic
419C2×#102—171no—
420C2×#102—171no—
421C2×#102—171no—
422C2×#97—171no—
423C2×#97C2×D1711yescharacteristic
424C2×C4×C8—171no—
425C2×C17#336914yescomplemented
426C2×C17C2×#54811yescharacteristic
427C2×C17C22×#13711yescharacteristic
428C2×C17C2×#57711yescharacteristic
429D17—82no—
430C22×Q8—171no—
431C22×Q8—171no—
432C22×Q8—341no—
433C22×Q8—341no—
434C22×Q8—341no—
435C22×Q8C22×D1711yescharacteristic
436C22×Q8C22×D1711yescharacteristic
437C22×D4—171no—
438C23×C4—341no—
439C2×Q16—24no—
440C2×Q16—174no—
441C2×Q16—344no—
442C2×Q16C22×D1714yes—
443C2×SD16—174no—
444C2×SD16—344no—
445C22×C8—171no—
446C22×C8—171no—
447C22×C8C22×D1711yescharacteristic
448C22×C8C22×D1711yescharacteristic
449C4⋊Q8—174no—
450C4⋊Q8—174no—
451C4⋊Q8—174no—
452C4⋊Q8—174no—
453C4⋊Q8—348no—
454C4⋊Q8—342no—
455C4⋊Q8—342no—
456C4⋊Q8—342no—
457C4⋊Q8—348no—
458C4⋊Q8—348no—
459C4⋊Q8—342no—
460#126—348no—
461#126—348no—
462#124—174no—
463#124—174no—
464#124—342no—
465#124—342no—
466C22⋊Q8—348no—
467C4×Q8—22no—
468C4×Q8—22no—
469C4×Q8—174no—
470C4×Q8—174no—
471C4×Q8—174no—
472C4×Q8—174no—
473C4×Q8—174no—
474C4×Q8—348no—
475C4×Q8—342no—
476C4×Q8—342no—
477C4×Q8—342no—
478C4×Q8C22×D1714yes—
479C4×Q8C22×D1714yes—
480C4×D4—174no—
481C4×D4—342no—
482#117—348no—
483C2×C4⋊C4—21no—
484C2×C4⋊C4—21no—
485C2×C4⋊C4—171no—
486C2×C4⋊C4—171no—
487C2×C4⋊C4—171no—
488C2×C4⋊C4—171no—
489C2×C4⋊C4—171no—
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⋊C4—341no—
497C2×C4⋊C4—341no—
498C2×C4⋊C4C22×D1711yescharacteristic
499C2×C4⋊C4C22×D1711yescharacteristic
500C2×C22⋊C4—341no—
501C2×C22⋊C4—341no—
502C2×C22⋊C4—341no—
503C2×C22⋊C4—341no—
504C2×C22⋊C4—341no—
505C2×C42—21no—
506C2×C42—21no—
507C2×C42—171no—
508C2×C42—171no—
509C2×C42—341no—
510C2×C42—341no—
511C2×C42—341no—
512C2×C42C22×D1711yescharacteristic
513#106—174no—
514#106—174no—
515#106C22×D1714yes—
516C4⋊C8—174no—
517C4⋊C8—174no—
518C4⋊C8—174no—
519#103—174no—
520#103—174no—
521#103—174no—
522#103—174no—
523#103—174no—
524#103C22×D1714yes—
525#103C22×D1714yes—
526#102—174no—
527#102—174no—
528#102—174no—
529#97—174no—
530#97C22×D1714yes—
531C4×C8—174no—
532C17C2×#336911yescharacteristic, complemented, Sylow
533C24—341no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—22no—
537C2×Q8—22no—
538C2×Q8—22no—
539C2×Q8—174no—
540C2×Q8—172no—
541C2×Q8—344no—
542C2×Q8—344no—
543C2×Q8—344no—
544C2×Q8—341no—
545C2×Q8—344no—
546C2×Q8—342no—
547C2×Q8—342no—
548C2×Q8—1362no—
549C2×Q8—1362no—
550C2×Q8—1362no—
551C2×Q8#6325214yes—
552C2×Q8C23×D1712yes—
553C2×Q8C23×D1712yes—
554C2×D4—172no—
555C2×D4—342no—
556C2×D4—341no—
557C2×D4—342no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—171no—
563C22×C4—171no—
564C22×C4—171no—
565C22×C4—171no—
566C22×C4—344no—
567C22×C4—341no—
568C22×C4—341no—
569C22×C4—341no—
570C22×C4—684no—
571C22×C4D4×D1711yescharacteristic
572C22×C4D4×D1711yescharacteristic
573C22×C4C23×D1711yescharacteristic
574Q16—28no—
575Q16—348no—
576SD16—348no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—172no—
580C2×C8—172no—
581C2×C8—342no—
582C2×C8—342no—
583C2×C8C23×D1712yes—
584C2×C8C23×D1712yes—
585C4⋊C4—24no—
586C4⋊C4—24no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—174no—
590C4⋊C4—174no—
591C4⋊C4—174no—
592C4⋊C4—172no—
593C4⋊C4—172no—
594C4⋊C4—344no—
595C4⋊C4—344no—
596C4⋊C4—344no—
597C4⋊C4—344no—
598C4⋊C4—344no—
599C4⋊C4—344no—
600C4⋊C4—344no—
601C4⋊C4—341no—
602C4⋊C4—341no—
603C4⋊C4—344no—
604C4⋊C4C23×D1712yes—
605C4⋊C4C23×D1712yes—
606C22⋊C4—344no—
607C22⋊C4—344no—
608C22⋊C4—344no—
609C22⋊C4—344no—
610C22⋊C4—344no—
611C42—24no—
612C42—24no—
613C42—172no—
614C42—172no—
615C42—172no—
616C42—172no—
617C42—344no—
618C42—344no—
619C42—344no—
620C42D4×D1712yes—
621C42C23×D1712yes—
622C23—342no—
623C23—682no—
624C23—682no—
625C23—682no—
626C23C2×D4×D1711yescharacteristic
627Q8—24no—
628Q8—22no—
629Q8—22no—
630Q8—22no—
631Q8—42no—
632Q8—348no—
633Q8—342no—
634Q8—342no—
635Q8—682no—
636Q8—1364no—
637Q8—1364no—
638Q8—1364no—
639Q8C2×#6325214yes—
640D4—342no—
641D4—342no—
642D4—682no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—174no—
654C2×C4—172no—
655C2×C4—172no—
656C2×C4—172no—
657C2×C4—172no—
658C2×C4—342no—
659C2×C4—342no—
660C2×C4—342no—
661C2×C4—342no—
662C2×C4—342no—
663C2×C4—342no—
664C2×C4—688no—
665C2×C4—682no—
666C2×C4—682no—
667C2×C4—682no—
668C2×C4C2×#6325212yes—
669C2×C4C2×D4×D1712yes—
670C2×C4C2×D4×D1712yes—
671C2×C4C2×D4×D1711yescharacteristic
672C2×C4#1058769712yes—
673C2×C4C24×D1711yescharacteristic
674C8—22no—
675C8—22no—
676C8—342no—
677C8—342no—
678C22—682no—
679C22—682no—
680C22—682no—
681C22—1364no—
682C22#1176346812yes—
683C22#137×D1712yes—
684C22#1176361812yes—
685C22C22×D4×D1711yescharacteristic
686C4—22no—
687C4—24no—
688C4—22no—
689C4—42no—
690C4—42no—
691C4—42no—
692C4—174no—
693C4—342no—
694C4—342no—
695C4—342no—
696C4—682no—
697C4—682no—
698C4—682no—
699C4#1176346812yes—
700C4C22×#6325211yescharacteristic
701C4C2×#1058769711yescharacteristic
702C2—1362no—
703C2#1454152514yesdirect product factor
704C2C2×#1176346811yescharacteristic
705C2C2×#137×D1711yescharacteristic
706C2C2×#1176361811yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#441C2
socleC23×C17C22×D4
prime radicalC22×D68C23
hypercenterC2×#441D17
hypocenterC17C2×#3369
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#441

Complements

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

NH ≅ G/Ntype
1. C2×Q8×Dic34C2semidirect
3. #14541525C2direct (N × H)
6. C2×#11763158C2semidirect
7. C2×#11763094C2semidirect
8. C2×#11763093C2semidirect
12. C2×#11763017C2semidirect
13. C2×#11762937C2semidirect
14. C2×#11762913C2semidirect
16. C2×C17×#441C2semidirect
20. Q8×Dic34C22semidirect
44. #11763158C22semidirect
46. #11763094C22semidirect
47. #11763093C22semidirect
50. #11763017C22semidirect
51. #11762937C22semidirect
52. #11762913C22semidirect
72. C17×#441C22semidirect
339. C2×#441D17semidirect
404. #441C2×D17semidirect
425. C2×C17#3369semidirect
532. C17C2×#3369semidirect
703. C2#14541525direct (N × H)

Maximal subgroups

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

subgroupindex
C2×Q8×Dic342
C2×#117635312
#145415252
C2×#117631702
C2×#117631692
C2×#117631582
C2×#117630942
C2×#117630932
C2×#117630982
C2×#117630332
C2×#117630312
C2×#117630172
C2×#117629372
C2×#117629132
C2×#117628942
C2×C17×#4412
C2×#336917