Finite Group Databasebeta

← C2×#14540069 #17906547

Subgroups — C2×#14540069 #17906547

Order 4352.

1742 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763437C211yesmaximal, characteristic, complemented
2C2×#11763430C211yesmaximal, characteristic
3#14540069C2116yesmaximal, direct product factor
4C2×#11763218C211yesmaximal, characteristic, complemented
5C2×#11763214C211yesmaximal, characteristic, complemented
6C2×#11763169C211yesmaximal, characteristic, complemented
7C2×#11763164C211yesmaximal, characteristic, complemented
8C2×#11763145C211yesmaximal, characteristic, complemented
9C2×#11763151C211yesmaximal, characteristic, complemented
10C2×#11763134C211yesmaximal, characteristic
11C2×#11763123C211yesmaximal, characteristic
12C2×#11763117C211yesmaximal, characteristic, complemented
13C2×#11763105C211yesmaximal, characteristic, complemented
14C2×#11763110C211yesmaximal, characteristic, complemented
15C2×#11763090C211yesmaximal, characteristic, complemented
16C2×C17×#433C211yesmaximal, characteristic, complemented
17#11763437—24no—
18#11763437C2218yescomplemented
19#11763430—24no—
20#11763430C2218yes—
21C2×#10587555C2211yescharacteristic
22C2×#10587555C2211yescharacteristic
23C2×#10587555C2211yescharacteristic
24C2×#10587574—21no—
25C2×#10587584—21no—
26C2×#10587556C2211yescharacteristic
27C2×#10587556C2211yescharacteristic
28C2×#10587576—21no—
29C2×#10587561C2211yescharacteristic
30C2×#10587571—21no—
31C2×#10587569—21no—
32C2×#10587610C2211yescharacteristic
33C2×#10587582—21no—
34C2×#10587564—21no—
35C2×#10587564—21no—
36C2×#10587616C2211yescharacteristic
37C2×C4×Dic34C2211yescharacteristic
38C2×C4×D68C2211yescharacteristic
39C2×#10587612C2211yescharacteristic
40C22×C4⋊Dic17C2211yescharacteristic
41#11763218C2218yescomplemented
42#11763214C2218yescomplemented
43#11763169C2218yescomplemented
44#11763164C2218yescomplemented
45#11763151C2218yescomplemented
46#11763145C2218yescomplemented
47#11763134C2218yes—
48#11763123C2218yes—
49#11763117C2218yescomplemented
50#11763110C2218yescomplemented
51#11763105C2218yescomplemented
52#11763090C2218yescomplemented
53C2×#10587489C2211yescharacteristic
54C2×#10587489C2211yescharacteristic
55C2×#10587489C2211yescharacteristic
56C2×#10587489C2211yescharacteristic
57C2×#10587489C2211yescharacteristic
58C2×#10587489C2211yescharacteristic
59C2×#10587488C2211yescharacteristic
60C2×#10587488C2211yescharacteristic
61C2×#10587487C2211yescharacteristic
62C2×#10587487C2211yescharacteristic
63C2×#10587487C2211yescharacteristic
64C2×#10587487C2211yescharacteristic
65C2×#10587492C2211yescharacteristic
66C2×#10587492C2211yescharacteristic
67C2×#10587492C2211yescharacteristic
68C2×#10587492C2211yescharacteristic
69C2×C17×#117C2211yescharacteristic
70C17×#433C2218yescomplemented
71C2×C17×C4⋊C8C2211yescharacteristic
72C2×C17×C4⋊C8C2211yescharacteristic
73C2×C17×C22⋊C8C2211yescharacteristic
74C2×C17×C22⋊C8C2211yescharacteristic
75C2×C17×#97C2211yescharacteristic
76C2×C4×C8×C17C2211yescharacteristic
77C23×C4×C17C2311yescharacteristic
78C22×C22⋊D17—21no—
79C23×Dic17—21no—
80C22×D68C2311yescharacteristic
81C22×C4×D17—21no—
82C22×Dic34—21no—
83C22×Dic34—21no—
84C22×Dic34—21no—
85C22×Dic34C2311yescharacteristic
86C22×C8×C17C2311yescharacteristic
87C22×C8×C17C2311yescharacteristic
88C22×C8×C17C2311yescharacteristic
89C22×C8×C17C2311yescharacteristic
90C17×#117D414yes—
91C17×#117C2314yes—
92C2×C4⋊C4×C17D411yescharacteristic
93C2×C4⋊C4×C17D411yescharacteristic
94C2×C22⋊C4×C17D411yescharacteristic
95C2×C22⋊C4×C17D411yescharacteristic
96C2×C42×C17C2311yescharacteristic
97C2×C42×C17C2311yescharacteristic
98C2×C22⋊Dic17—21no—
99C2×C22⋊Dic17—21no—
100#10587616—22no—
101#10587616C2314yes—
102C2×#63227—21no—
103C2×#63227—21no—
104C2×#63227—21no—
105C2×#63227—21no—
106#10587612—22no—
107#10587612C2314yes—
108C2×C4⋊Dic17—21no—
109C2×C4⋊Dic17—22no—
110C2×C4⋊Dic17—21no—
111C2×C4⋊Dic17—21no—
112C2×C4⋊Dic17—21no—
113C2×C4⋊Dic17C2311yescharacteristic
114C2×C4⋊Dic17C2311yescharacteristic
115C2×C4⋊Dic17C2314yes—
116C2×C4⋊Dic17C2311yescharacteristic
117C2×C4⋊Dic17C2311yescharacteristic
118C2×C4⋊Dic17C2311yescharacteristic
119C2×C4⋊Dic17C2311yescharacteristic
120#10587610—22no—
121#10587610C2314yes—
122C2×#63225—21no—
123C2×#63225—21no—
124C2×#63225—21no—
125C2×#63225—21no—
126C2×#63225—21no—
127C2×#63225—21no—
128C2×C4×Dic17—21no—
129C2×C4×Dic17—21no—
130#10587584—28no—
131#10587582—28no—
132#10587576—28no—
133#10587574—28no—
134#10587571—28no—
135#10587569—28no—
136#10587564—28no—
137#10587564—28no—
138#10587561—22no—
139#10587561C2314yes—
140C4×D68—22no—
141C4×D68C2314yes—
142#10587556—22no—
143#10587556—22no—
144#10587556C2314yes—
145#10587556C2314yes—
146#10587555—22no—
147#10587555—22no—
148#10587555—22no—
149#10587555C2314yes—
150#10587555C2314yes—
151#10587555C2314yes—
152C4×Dic34—22no—
153C4×Dic34C2314yes—
154C17×C4⋊C8C2314yes—
155C17×C4⋊C8C2314yes—
156C17×C22⋊C8C2314yes—
157C17×C22⋊C8C2314yes—
158C17×#97C2314yes—
159C4×C8×C17C2314yes—
160#10587492C2314yes—
161#10587492C2314yes—
162#10587492C2314yes—
163#10587492C2314yes—
164#10587489C2314yes—
165#10587489C2314yes—
166#10587489C2314yes—
167#10587489C2314yes—
168#10587489C2314yes—
169#10587489C2314yes—
170#10587488C2314yes—
171#10587488C2314yes—
172#10587487C2314yes—
173#10587487C2314yes—
174#10587487C2314yes—
175#10587487C2314yes—
176C24×C17C2×D411yescharacteristic
177C23×D17—21no—
178C22×C4×C17—22no—
179C22×C4×C17—22no—
180C22×C4×C17C2×D411yescharacteristic
181C22×C4×C17C2×D411yescharacteristic
182C22×C4×C17C2×D411yescharacteristic
183C22×C4×C17C2×D412yes—
184C22×C4×C17C2×D411yescharacteristic
185C22×C4×C17C2×D411yescharacteristic
186C22×C4×C17C2412yes—
187C22×C4×C17C2411yescharacteristic
188C2×C22⋊D17—24no—
189C2×C22⋊D17—82no—
190C22×Dic17—21no—
191C22×Dic17—21no—
192C22×Dic17—21no—
193C22×Dic17—21no—
194C22×Dic17—21no—
195C22×Dic17—21no—
196C22×Dic17—21no—
197C22×Dic17—24no—
198C22×Dic17—82no—
199C2×D68—22no—
200C2×D68—22no—
201C2×D68—21no—
202C2×D68C2412yes—
203C2×C4×D17—24no—
204C2×C4×D17—82no—
205C2×Dic34—22no—
206C2×Dic34—22no—
207C2×Dic34—21no—
208C2×Dic34—24no—
209C2×Dic34—24no—
210C2×Dic34—24no—
211C2×Dic34—82no—
212C2×Dic34—82no—
213C2×Dic34—82no—
214C2×Dic34C2412yes—
215C2×C8×C17—22no—
216C2×C8×C17—22no—
217C2×C8×C17—22no—
218C2×C8×C17—22no—
219C2×C8×C17C2412yes—
220C2×C8×C17C2412yes—
221C2×C8×C17C2412yes—
222C2×C8×C17C2412yes—
223C4⋊C4×C17C2×D414yes—
224C4⋊C4×C17C2×D414yes—
225C22⋊C4×C17C2×D414yes—
226C22⋊C4×C17C2×D414yes—
227C42×C17C2×D412yes—
228C42×C17C2×D412yes—
229C42×C17C2412yes—
230C42×C17C2412yes—
231C22⋊Dic17—24no—
232C22⋊Dic17—24no—
233#63227—24no—
234#63227—24no—
235#63227—24no—
236#63227—24no—
237C4⋊Dic17—21no—
238C4⋊Dic17—21no—
239C4⋊Dic17—21no—
240C4⋊Dic17—21no—
241C4⋊Dic17—21no—
242C4⋊Dic17—24no—
243C4⋊Dic17—24no—
244C4⋊Dic17—24no—
245C4⋊Dic17—21no—
246C4⋊Dic17—24no—
247C4⋊Dic17C2412yes—
248C4⋊Dic17C2412yes—
249C4⋊Dic17C2412yes—
250C4⋊Dic17C2412yes—
251C4⋊Dic17C2412yes—
252C4⋊Dic17C2412yes—
253#63225—24no—
254#63225—24no—
255#63225—24no—
256#63225—24no—
257#63225—24no—
258#63225—24no—
259C4×Dic17—24no—
260C4×Dic17—24no—
261C2×#3243—171nomaximal, Sylow
262C23×C17—22no—
263C23×C17—22no—
264C23×C17—22no—
265C23×C17C22×D412yes—
266C23×C17C22×D411yescharacteristic
267C22×D17—22no—
268C22×D17—42no—
269C22×D17—42no—
270C22×D17—42no—
271C2×C4×C17—22no—
272C2×C4×C17—22no—
273C2×C4×C17—22no—
274C2×C4×C17—22no—
275C2×C4×C17—22no—
276C2×C4×C17—24no—
277C2×C4×C17—22no—
278C2×C4×C17—22no—
279C2×C4×C17C22×D412yes—
280C2×C4×C17C22×D412yes—
281C2×C4×C17C22×D412yes—
282C2×C4×C17C22×D412yes—
283C2×C4×C17C22×D412yes—
284C2×C4×C17C22×D411yescharacteristic
285C2×C4×C172−1+412yes—
286C2×C4×C172−1+412yes—
287C2×C4×C17C2511yescharacteristic
288C22⋊D17—84no—
289C2×Dic17—22no—
290C2×Dic17—22no—
291C2×Dic17—22no—
292C2×Dic17—22no—
293C2×Dic17—22no—
294C2×Dic17—22no—
295C2×Dic17—22no—
296C2×Dic17—42no—
297C2×Dic17—42no—
298C2×Dic17—42no—
299C2×Dic17—42no—
300C2×Dic17—42no—
301C2×Dic17—42no—
302C2×Dic17—42no—
303C2×Dic17—84no—
304D68—22no—
305D68—22no—
306D68—42no—
307C4×D17—84no—
308Dic34—22no—
309Dic34—22no—
310Dic34—42no—
311Dic34—84no—
312Dic34—84no—
313Dic34—84no—
314C8×C17—22no—
315C8×C17—22no—
316C8×C17—22no—
317C8×C17—22no—
318C2×#544—171no—
319C2×#542—171no—
320#3243—1716no—
321C2×#501—171no—
322C2×#500—171no—
323C2×#489—171no—
324C2×#488—171no—
325C2×#484—171no—
326C2×#485—171no—
327C2×#482—171no—
328C2×#480—171no—
329C2×#479—171no—
330C2×#477—171no—
331C2×#478—171no—
332C2×#474—171no—
333C2×#433D1711yescharacteristic, complemented
334C22×C17—22no—
335C22×C17—22no—
336C22×C17—22no—
337C22×C17—44no—
338C22×C17#53612yes—
339C22×C17#57612yes—
340C22×C17#57812yes—
341C22×C17C23×D411yescharacteristic
342C2×D17—42no—
343C2×D17—42no—
344C2×D17—42no—
345C2×D17—84no—
346C4×C17—22no—
347C4×C17—22no—
348C4×C17—22no—
349C4×C17—22no—
350C4×C17—22no—
351C4×C17#53612yes—
352C4×C17C2×2−1+411yescharacteristic
353C4×C17C2×2−1+411yescharacteristic
354Dic17—42no—
355Dic17—42no—
356Dic17—42no—
357Dic17—42no—
358Dic17—42no—
359Dic17—42no—
360Dic17—42no—
361#544—178no—
362#544—344no—
363#542—178no—
364#542—344no—
365C2×C4⋊Q8—171no—
366C2×C4⋊Q8—171no—
367C2×C4⋊Q8—171no—
368C2×C4⋊Q8—341no—
369C2×#126—341no—
370C2×#125—171no—
371C2×#125—171no—
372C2×#125—341no—
373C2×#124—171no—
374C2×#124—341no—
375C2×#123—341no—
376C2×C22⋊Q8—171no—
377C2×C22⋊Q8—341no—
378C2×C22⋊Q8—341no—
379C2×C22⋊Q8—341no—
380C2×#121—171no—
381C2×C4×Q8—171no—
382C2×C4×D4—171no—
383C2×#117—171no—
384C2×#117C2×D1711yescharacteristic
385C22×C4⋊C4—171no—
386#501—178no—
387#500—178no—
388#489—178no—
389#488—178no—
390#485—178no—
391#484—178no—
392#482—178no—
393#480—178no—
394#479—178no—
395#478—178no—
396#477—178no—
397#474—178no—
398#433C2×D1718yescomplemented
399C2×#107—171no—
400C2×#107—171no—
401C2×#107—171no—
402C2×#107—171no—
403C2×#107—171no—
404C2×#107—171no—
405C2×#106—171no—
406C2×#106—171no—
407C2×C4⋊C8C2×D1711yescharacteristic
408C2×C4⋊C8C2×D1711yescharacteristic
409C2×#103—171no—
410C2×#103—171no—
411C2×#103—171no—
412C2×#103—171no—
413C2×#102—171no—
414C2×#102—171no—
415C2×#102—171no—
416C2×#102—171no—
417C2×C22⋊C8C2×D1711yescharacteristic
418C2×C22⋊C8C2×D1711yescharacteristic
419C2×#97C2×D1711yescharacteristic
420C2×C4×C8C2×D1711yescharacteristic
421C2×C17—42no—
422C2×C17#324314yescomplemented
423C2×C17C2×#53611yescharacteristic
424C2×C17C2×#57611yescharacteristic
425C2×C17C2×#57811yescharacteristic
426D17—82no—
427C22×Q8—171no—
428C22×Q8—341no—
429C22×Q8—341no—
430C22×Q8—341no—
431C22×D4—171no—
432C22×D4—341no—
433C23×C4—341no—
434C23×C4—341no—
435C23×C4C22×D1711yescharacteristic
436C22×C8C22×D1711yescharacteristic
437C22×C8C22×D1711yescharacteristic
438C22×C8C22×D1711yescharacteristic
439C22×C8C22×D1711yescharacteristic
440C4⋊Q8—174no—
441C4⋊Q8—174no—
442C4⋊Q8—174no—
443C4⋊Q8—348no—
444C4⋊Q8—342no—
445C4⋊Q8—342no—
446C4⋊Q8—342no—
447#126—348no—
448#125—174no—
449#125—174no—
450#125—348no—
451#125—342no—
452#125—342no—
453#124—174no—
454#124—348no—
455#124—342no—
456#123—348no—
457C22⋊Q8—174no—
458C22⋊Q8—342no—
459C22⋊Q8—348no—
460C22⋊Q8—348no—
461C22⋊Q8—348no—
462#121—174no—
463#121—342no—
464C4×Q8—174no—
465C4×Q8—342no—
466C4×D4—174no—
467C4×D4—342no—
468#117—174no—
469#117—342no—
470#117D6814yes—
471#117C22×D1714yes—
472C2×C4⋊C4—171no—
473C2×C4⋊C4—171no—
474C2×C4⋊C4—174no—
475C2×C4⋊C4—171no—
476C2×C4⋊C4—171no—
477C2×C4⋊C4—171no—
478C2×C4⋊C4—171no—
479C2×C4⋊C4—341no—
480C2×C4⋊C4—342no—
481C2×C4⋊C4—341no—
482C2×C4⋊C4—341no—
483C2×C4⋊C4—341no—
484C2×C4⋊C4—341no—
485C2×C4⋊C4—341no—
486C2×C4⋊C4—341no—
487C2×C4⋊C4—341no—
488C2×C4⋊C4—341no—
489C2×C4⋊C4—341no—
490C2×C4⋊C4D6811yescharacteristic
491C2×C4⋊C4D6811yescharacteristic
492C2×C22⋊C4—341no—
493C2×C22⋊C4—341no—
494C2×C22⋊C4—341no—
495C2×C22⋊C4—341no—
496C2×C22⋊C4—341no—
497C2×C22⋊C4—341no—
498C2×C22⋊C4D6811yescharacteristic
499C2×C22⋊C4D6811yescharacteristic
500C2×C42—341no—
501C2×C42—341no—
502C2×C42C22×D1711yescharacteristic
503C2×C42C22×D1711yescharacteristic
504#107—174no—
505#107—174no—
506#107—174no—
507#107—174no—
508#107—174no—
509#107—174no—
510#106—174no—
511#106—174no—
512C4⋊C8C22×D1714yes—
513C4⋊C8C22×D1714yes—
514#103—174no—
515#103—174no—
516#103—174no—
517#103—174no—
518#102—174no—
519#102—174no—
520#102—174no—
521#102—174no—
522C22⋊C8C22×D1714yes—
523C22⋊C8C22×D1714yes—
524#97C22×D1714yes—
525C4×C8C22×D1714yes—
526C17C2×#324311yescharacteristic, complemented, Sylow
527C24—341no—
528C24C2×D6811yescharacteristic
529C2×Q8—172no—
530C2×Q8—341no—
531C2×Q8—344no—
532C2×Q8—344no—
533C2×Q8—344no—
534C2×Q8—342no—
535C2×Q8—342no—
536C2×Q8—1362no—
537C2×Q8—1362no—
538C2×Q8—1362no—
539C2×D4—172no—
540C2×D4—344no—
541C2×D4—341no—
542C2×D4—342no—
543C2×D4—342no—
544C2×D4—1362no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—341no—
548C22×C4—341no—
549C22×C4—341no—
550C22×C4—341no—
551C22×C4—341no—
552C22×C4—341no—
553C22×C4—341no—
554C22×C4—344no—
555C22×C4—344no—
556C22×C4—1362no—
557C22×C4—1362no—
558C22×C4C2×D6812yes—
559C22×C4C2×D6811yescharacteristic
560C22×C4C2×D6811yescharacteristic
561C22×C4C2×D6811yescharacteristic
562C22×C4C2×D6811yescharacteristic
563C22×C4C2×D6811yescharacteristic
564C22×C4C23×D1712yes—
565C22×C4C23×D1711yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8C23×D1712yes—
571C2×C8C23×D1712yes—
572C2×C8C23×D1712yes—
573C2×C8C23×D1712yes—
574C4⋊C4—172no—
575C4⋊C4—172no—
576C4⋊C4—172no—
577C4⋊C4—172no—
578C4⋊C4—172no—
579C4⋊C4—172no—
580C4⋊C4—344no—
581C4⋊C4—341no—
582C4⋊C4—341no—
583C4⋊C4—341no—
584C4⋊C4—341no—
585C4⋊C4—341no—
586C4⋊C4—341no—
587C4⋊C4—344no—
588C4⋊C4—344no—
589C4⋊C4—344no—
590C4⋊C4—344no—
591C4⋊C4—344no—
592C4⋊C4—344no—
593C4⋊C4—344no—
594C4⋊C4—344no—
595C4⋊C4—344no—
596C4⋊C4C2×D6814yes—
597C4⋊C4C2×D6814yes—
598C22⋊C4—344no—
599C22⋊C4—344no—
600C22⋊C4—344no—
601C22⋊C4—344no—
602C22⋊C4—344no—
603C22⋊C4—344no—
604C22⋊C4C2×D6814yes—
605C22⋊C4C2×D6814yes—
606C42—344no—
607C42—344no—
608C42C2×D6812yes—
609C42C2×D6812yes—
610C42C23×D1712yes—
611C42C23×D1712yes—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—342no—
616C23—682no—
617C23—682no—
618C23—682no—
619C23C22×D6812yes—
620C23C22×D6811yescharacteristic
621Q8—342no—
622Q8—342no—
623Q8—682no—
624Q8—1364no—
625Q8—1364no—
626Q8—1364no—
627D4—342no—
628D4—342no—
629D4—682no—
630D4—1364no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—342no—
640C2×C4—342no—
641C2×C4—342no—
642C2×C4—342no—
643C2×C4—342no—
644C2×C4—342no—
645C2×C4—342no—
646C2×C4—682no—
647C2×C4—682no—
648C2×C4—682no—
649C2×C4—682no—
650C2×C4—682no—
651C2×C4—682no—
652C2×C4—682no—
653C2×C4—1364no—
654C2×C4—1364no—
655C2×C4C22×D6812yes—
656C2×C4C22×D6812yes—
657C2×C4C22×D6812yes—
658C2×C4C22×D6812yes—
659C2×C4C22×D6812yes—
660C2×C4C22×D6811yescharacteristic
661C2×C4#1058769712yes—
662C2×C4#1058769712yes—
663C2×C4C24×D1711yescharacteristic
664C8—22no—
665C8—22no—
666C8—22no—
667C8—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—682no—
673C22—682no—
674C22—682no—
675C22—1364no—
676C22#1176338512yes—
677C22#1176361412yes—
678C22#1176362612yes—
679C22C23×D6811yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—682no—
686C4—682no—
687C4—682no—
688C4—682no—
689C4—682no—
690C4—682no—
691C4—682no—
692C4#1176338512yes—
693C4C2×#1058769711yescharacteristic
694C4C2×#1058769711yescharacteristic
695C2—42no—
696C2—1362no—
697C2#1454006914yesdirect product factor
698C2C2×#1176338511yescharacteristic
699C2C2×#1176361411yescharacteristic
700C2C2×#1176362611yescharacteristic
subgroupG/H
centerC23C22×D68
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#433C2
socleC23×C17C22×D4
prime radicalC2×#10587616C22
hypercenterC2×#433D17
hypocenterC17C2×#3243
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
1. C2×#11763437C2semidirect
3. #14540069C2direct (N × H)
4. C2×#11763218C2semidirect
5. C2×#11763214C2semidirect
6. C2×#11763169C2semidirect
7. C2×#11763164C2semidirect
8. C2×#11763145C2semidirect
9. C2×#11763151C2semidirect
12. C2×#11763117C2semidirect
13. C2×#11763105C2semidirect
14. C2×#11763110C2semidirect
15. C2×#11763090C2semidirect
16. C2×C17×#433C2semidirect
18. #11763437C22semidirect
41. #11763218C22semidirect
42. #11763214C22semidirect
43. #11763169C22semidirect
44. #11763164C22semidirect
45. #11763151C22semidirect
46. #11763145C22semidirect
49. #11763117C22semidirect
50. #11763110C22semidirect
51. #11763105C22semidirect
52. #11763090C22semidirect
70. C17×#433C22semidirect
333. C2×#433D17semidirect
398. #433C2×D17semidirect
422. C2×C17#3243semidirect
526. C17C2×#3243semidirect
697. C2#14540069direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117634372
C2×#117634302
#145400692
C2×#117632182
C2×#117632142
C2×#117631692
C2×#117631642
C2×#117631452
C2×#117631512
C2×#117631342
C2×#117631232
C2×#117631172
C2×#117631052
C2×#117631102
C2×#117630902
C2×C17×#4332
C2×#324317