Finite Group Databasebeta

← C2×#14541708 #17914828

Subgroups — C2×#14541708 #17914828

Order 4352.

2006 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763535C211yesmaximal, characteristic, complemented
2C2×#11763474C211yesmaximal, characteristic
3#14541708C2116yesmaximal, direct product factor
4C2×#11763217C211yesmaximal, characteristic, complemented
5C2×#11763215C211yesmaximal, characteristic, complemented
6C2×#11763213C211yesmaximal, characteristic, complemented
7C2×#11763102C211yesmaximal, characteristic, complemented
8C2×#11763092C211yesmaximal, characteristic, complemented
9C2×#11763112C211yesmaximal, characteristic
10C2×#11763110C211yesmaximal, characteristic
11C2×#11763088C211yesmaximal, characteristic
12C2×#11762938C211yesmaximal, characteristic, complemented
13C2×#11762912C211yesmaximal, characteristic
14C2×#11762907C211yesmaximal, characteristic
15C2×#11762894C211yesmaximal, characteristic
16C2×C17×#477C211yesmaximal, characteristic, complemented
17C22×Q8×D17—21no—
18C22×#63230C2211yescharacteristic
19#11763535—24no—
20#11763535C2218yescomplemented
21#11763474—24no—
22#11763474C2218yes—
23C2×#10587574—21no—
24C2×#10587574C2211yescharacteristic
25C2×#10587574C2211yescharacteristic
26C2×#10587574C2211yescharacteristic
27C2×#10587556—21no—
28C2×#10587556C2211yescharacteristic
29C2×#10587576—21no—
30C2×#10587576C2211yescharacteristic
31C2×#10587582—21no—
32C2×#10587582—21no—
33C2×#10587632—21no—
34C2×Q8×Dic17C2211yescharacteristic
35C2×Q8×Dic17C2211yescharacteristic
36C2×C4×Dic34—21no—
37C2×C4×Dic34C2211yescharacteristic
38C2×C4×D68C2211yescharacteristic
39C2×#10587579C2211yescharacteristic
40C2×#10587579C2211yescharacteristic
41#11763217C2218yescomplemented
42#11763215C2218yescomplemented
43#11763213C2218yescomplemented
44#11763112C2218yes—
45#11763110C2218yes—
46#11763102C2218yescomplemented
47#11763092C2218yescomplemented
48#11763088C2218yes—
49#11762938C2218yescomplemented
50#11762912C2218yes—
51#11762907C2218yes—
52#11762894C2218yes—
53C2×#10587489C2211yescharacteristic
54C2×#10587478C2211yescharacteristic
55C2×#10587478C2211yescharacteristic
56C2×#10587478C2211yescharacteristic
57C2×#10587488C2211yescharacteristic
58C2×#10587479C2211yescharacteristic
59C2×#10587479C2211yescharacteristic
60C2×#10587485C2211yescharacteristic
61C2×#10587485C2211yescharacteristic
62C2×#10587506C2211yescharacteristic
63C2×#10587492C2211yescharacteristic
64C2×#10587492C2211yescharacteristic
65C2×#10587480C2211yescharacteristic
66C2×#10587474C2211yescharacteristic
67C2×#10587486C2211yescharacteristic
68C2×C8×Dic17C2211yescharacteristic
69C2×C17×C4⋊Q8C2211yescharacteristic
70C2×C4×Q8×C17C2211yescharacteristic
71C17×#477C2218yescomplemented
72C2×C17×#107C2211yescharacteristic
73C2×C17×#107C2211yescharacteristic
74C2×C17×C4⋊C8C2211yescharacteristic
75C2×C17×#103C2211yescharacteristic
76C2×C17×#103C2211yescharacteristic
77C22×Q8×C17—21no—
78C22×Q8×C17C2311yescharacteristic
79C2×Q8×D17—28no—
80C2×Q8×D17—48no—
81C22×D68C2311yescharacteristic
82C22×C4×D17—21no—
83C22×C4×D17—21no—
84C22×C4×D17—21no—
85C22×Dic34—21no—
86C22×Dic34—21no—
87C22×Dic34—21no—
88C22×Dic34D411yescharacteristic
89C22×C8×C17C2311yescharacteristic
90C22×C8×C17C2311yescharacteristic
91C17×C4⋊Q8—22no—
92C17×C4⋊Q8C2314yes—
93C4×Q8×C17—22no—
94C4×Q8×C17C2314yes—
95C2×C4⋊C4×C17—21no—
96C2×C4⋊C4×C17—21no—
97C2×C4⋊C4×C17C2311yescharacteristic
98C2×C4⋊C4×C17C2311yescharacteristic
99C2×C4⋊C4×C17C2311yescharacteristic
100C2×C42×C17—21no—
101C2×C42×C17C2311yescharacteristic
102#10587632—28no—
103Q8×Dic17—22no—
104Q8×Dic17—22no—
105Q8×Dic17C2314yes—
106Q8×Dic17C2314yes—
107C2×#63230Q818yescomplemented
108C2×#63230C2314yes—
109C2×#63227—21no—
110C2×#63227—21no—
111C2×#63227—21no—
112C2×C4⋊Dic17—21no—
113C2×C4⋊Dic17—21no—
114C2×C4⋊Dic17—21no—
115C2×C4⋊Dic17D411yescharacteristic
116C2×C4⋊Dic17C2311yescharacteristic
117C2×C4⋊Dic17C2311yescharacteristic
118C2×C4⋊Dic17C2311yescharacteristic
119C2×#63225—21no—
120C2×#63225—21no—
121C2×#63225—21no—
122C2×#63225—21no—
123C2×#63225—21no—
124C2×#63225—21no—
125C2×#63225D411yescharacteristic
126C2×#63225D411yescharacteristic
127C2×C4×Dic17—21no—
128C2×C4×Dic17—21no—
129C2×C4×Dic17C2311yescharacteristic
130C2×C4×Dic17C2311yescharacteristic
131C22×#3622C2311yescharacteristic
132C22×#3622C2311yescharacteristic
133#10587582—28no—
134#10587582—28no—
135#10587579—22no—
136#10587579—22no—
137#10587579C2314yes—
138#10587579C2314yes—
139#10587576—28no—
140#10587576—22no—
141#10587576C2314yes—
142#10587574—22no—
143#10587574—22no—
144#10587574—22no—
145#10587574—28no—
146#10587574C2314yes—
147#10587574C2314yes—
148#10587574C2314yes—
149C4×D68—22no—
150C4×D68C2314yes—
151#10587556—28no—
152#10587556—22no—
153#10587556C2314yes—
154C4×Dic34—28no—
155C4×Dic34D414yes—
156C4×Dic34C2314yes—
157C17×#107C2314yes—
158C17×#107C2314yes—
159C17×C4⋊C8C2314yes—
160C17×#103C2314yes—
161C17×#103C2314yes—
162#10587506C2314yes—
163#10587492C2314yes—
164#10587492C2314yes—
165#10587489C2314yes—
166#10587488C2314yes—
167#10587486C2314yes—
168#10587485C2314yes—
169#10587485C2314yes—
170C8×Dic17C2314yes—
171#10587480C2314yes—
172#10587479C2314yes—
173#10587479C2314yes—
174#10587478C2314yes—
175#10587478C2314yes—
176#10587478C2314yes—
177#10587474C2314yes—
178C23×D17—21no—
179C2×Q8×C17—21no—
180C2×Q8×C17—24no—
181C2×Q8×C17—22no—
182C2×Q8×C17—44no—
183C2×Q8×C17C2×Q814yescomplemented
184C2×Q8×C17C2412yes—
185C22×C4×C17—21no—
186C22×C4×C17—21no—
187C22×C4×C17—21no—
188C22×C4×C17—21no—
189C22×C4×C17C2×D411yescharacteristic
190C22×C4×C17C2×D411yescharacteristic
191C22×C4×C17C2411yescharacteristic
192C22×Dic17—21no—
193C22×Dic17—21no—
194C22×Dic17—21no—
195C22×Dic17C2×D411yescharacteristic
196C22×Dic17C2×D411yescharacteristic
197C22×Dic17C2×D411yescharacteristic
198C22×Dic17C2×D411yescharacteristic
199Q8×D17—432no—
200C2×D68—21no—
201C2×D68—22no—
202C2×D68C2×Q814yes—
203C2×D68C2412yes—
204C2×C4×D17—24no—
205C2×C4×D17—24no—
206C2×C4×D17—24no—
207C2×C4×D17—44no—
208C2×C4×D17—44no—
209C2×C4×D17—44no—
210C2×Dic34—24no—
211C2×Dic34—24no—
212C2×Dic34—24no—
213C2×Dic34—24no—
214C2×Dic34—44no—
215C2×Dic34—44no—
216C2×Dic34—44no—
217C2×Dic34C2×D414yes—
218C2×C8×C17—22no—
219C2×C8×C17—22no—
220C2×C8×C17C2412yes—
221C2×C8×C17C2412yes—
222C4⋊C4×C17—21no—
223C4⋊C4×C17—21no—
224C4⋊C4×C17—24no—
225C4⋊C4×C17—24no—
226C4⋊C4×C17—21no—
227C4⋊C4×C17C2412yes—
228C4⋊C4×C17C2412yes—
229C4⋊C4×C17C2412yes—
230C42×C17—24no—
231C42×C17C2×D412yes—
232C42×C17C2412yes—
233#63230C2×Q8116yescomplemented
234#63227—24no—
235#63227—24no—
236#63227—24no—
237C4⋊Dic17—21no—
238C4⋊Dic17—21no—
239C4⋊Dic17—21no—
240C4⋊Dic17—24no—
241C4⋊Dic17—24no—
242C4⋊Dic17—24no—
243C4⋊Dic17C2×D414yes—
244C4⋊Dic17C2412yes—
245C4⋊Dic17C2412yes—
246C4⋊Dic17C2412yes—
247#63225—24no—
248#63225—24no—
249#63225—24no—
250#63225—24no—
251#63225—24no—
252#63225—24no—
253#63225C2×D414yes—
254#63225C2×D414yes—
255C4×Dic17—24no—
256C4×Dic17—24no—
257C4×Dic17C2×D412yes—
258C4×Dic17C2×D412yes—
259C4×Dic17C2412yes—
260C4×Dic17C2412yes—
261C2×#3622—22no—
262C2×#3622C2×Q814yescomplemented
263C2×#3622C2412yes—
264C2×#3622C2412yes—
265C2×#3386—171nomaximal, Sylow
266C23×C17C22×D411yescharacteristic
267C22×D17—24no—
268C22×D17—22no—
269C22×D17—42no—
270C22×D17—42no—
271Q8×C17—24no—
272Q8×C17—22no—
273Q8×C17—48no—
274Q8×C17C22×Q814yescomplemented
275C2×C4×C17—24no—
276C2×C4×C17—22no—
277C2×C4×C17—22no—
278C2×C4×C17—22no—
279C2×C4×C17—22no—
280C2×C4×C17—22no—
281C2×C4×C17—22no—
282C2×C4×C17—42no—
283C2×C4×C17—42no—
284C2×C4×C17—42no—
285C2×C4×C17C22×D412yes—
286C2×C4×C17C22×D412yes—
287C2×C4×C17C22×D411yescharacteristic
288C2×C4×C17C22×Q812yes—
289C2×C4×C172−1+412yes—
290C2×C4×C17C2511yescharacteristic
291C2×Dic17—22no—
292C2×Dic17—22no—
293C2×Dic17—22no—
294C2×Dic17—22no—
295C2×Dic17—22no—
296C2×Dic17—22no—
297C2×Dic17—42no—
298C2×Dic17—42no—
299C2×Dic17—42no—
300C2×Dic17AGL(1,ℤ/8)14yes—
301C2×Dic17C22×D412yes—
302C2×Dic17C22×D412yes—
303C2×Dic17C22×D412yes—
304C2×Dic17C22×D412yes—
305D68—24no—
306D68—22no—
307D68C22×Q814yes—
308C4×D17—48no—
309C4×D17—48no—
310C4×D17—48no—
311Dic34—28no—
312Dic34—48no—
313Dic34—48no—
314Dic34—48no—
315C8×C17—22no—
316C8×C17—22no—
317#3622—22no—
318#3622C22×Q814yescomplemented
319C2×#557—171no—
320C2×D4×Q8—171no—
321#3386—1716no—
322C2×#501—171no—
323C2×#501—171no—
324C2×#500—171no—
325C2×#477—171no—
326C2×#477D1711yescharacteristic, complemented
327C2×#475—171no—
328C2×#478—171no—
329C2×#478—171no—
330C2×#474—171no—
331C2×#446—171no—
332C2×#440—171no—
333C2×#440—171no—
334C2×C4×SD16—171no—
335C22×C17D4×Q812yes—
336C22×C17C2×AGL(1,ℤ/8)12yes—
337C22×C17#57812yes—
338C22×C17C23×D411yescharacteristic
339C2×D17—24no—
340C2×D17—48no—
341C2×D17—42no—
342C2×D17—42no—
343C4×C17—24no—
344C4×C17—22no—
345C4×C17—22no—
346C4×C17—42no—
347C4×C17—42no—
348C4×C17—42no—
349C4×C17D4×Q812yes—
350C4×C17C23×Q811yescharacteristic
351C4×C17C2×2−1+411yescharacteristic
352Dic17—22no—
353Dic17—22no—
354Dic17—22no—
355Dic17—42no—
356Dic17—42no—
357Dic17—42no—
358Dic17C2×AGL(1,ℤ/8)14yes—
359C23×Q8—341no—
360C22×SD16—171no—
361#557—178no—
362#557—344no—
363D4×Q8—178no—
364D4×Q8—344no—
365C2×C4⋊Q8—171no—
366C2×C4⋊Q8—171no—
367C2×C4⋊Q8—171no—
368C2×C4⋊Q8—341no—
369C2×C4⋊Q8C2×D1711yescharacteristic
370C2×#125—171no—
371C2×#125—171no—
372C2×#125—341no—
373C2×#125—341no—
374C2×C22⋊Q8—341no—
375C2×C22⋊Q8—341no—
376C2×C22⋊Q8—341no—
377C2×C4×Q8—171no—
378C2×C4×Q8—171no—
379C2×C4×Q8—171no—
380C2×C4×Q8—341no—
381C2×C4×Q8C2×D1711yescharacteristic
382C2×C4×D4—171no—
383C2×C4×D4—171no—
384C2×C4×D4—171no—
385#501—178no—
386#501—178no—
387#500—178no—
388#478—178no—
389#478—178no—
390#477—178no—
391#477C2×D1718yescomplemented
392#475—178no—
393#474—178no—
394#446—178no—
395#440—178no—
396#440—178no—
397C4×SD16—178no—
398C2×#107—171no—
399C2×#107—171no—
400C2×#107—171no—
401C2×#107—171no—
402C2×#107C2×D1711yescharacteristic
403C2×#107C2×D1711yescharacteristic
404C2×#106—171no—
405C2×#106—171no—
406C2×#106—171no—
407C2×C4⋊C8—171no—
408C2×C4⋊C8—171no—
409C2×C4⋊C8C2×D1711yescharacteristic
410C2×#103—171no—
411C2×#103C2×D1711yescharacteristic
412C2×#103C2×D1711yescharacteristic
413C2×#102—171no—
414C2×#102—171no—
415C2×#102—171no—
416C2×#97—171no—
417C2×#97—171no—
418C2×C4×C8—171no—
419C2×C17#338614yescomplemented
420C2×C17C2×D4×Q811yescharacteristic
421C2×C17C22×AGL(1,ℤ/8)11yescharacteristic
422C2×C17C2×#57811yescharacteristic
423D17—44no—
424C22×Q8—21no—
425C22×Q8—171no—
426C22×Q8—341no—
427C22×Q8—341no—
428C22×Q8—341no—
429C22×Q8—348no—
430C22×Q8—688no—
431C22×Q8C22×D1711yescharacteristic
432C22×D4—171no—
433C23×C4—341no—
434C23×C4—341no—
435C23×C4—341no—
436C2×SD16—178no—
437C2×SD16—174no—
438C22×C8—171no—
439C22×C8—171no—
440C22×C8C22×D1711yescharacteristic
441C22×C8C22×D1711yescharacteristic
442C4⋊Q8—22no—
443C4⋊Q8—174no—
444C4⋊Q8—174no—
445C4⋊Q8—174no—
446C4⋊Q8—342no—
447C4⋊Q8—342no—
448C4⋊Q8—342no—
449C4⋊Q8—348no—
450C4⋊Q8C22×D1714yes—
451#125—174no—
452#125—174no—
453#125—348no—
454#125—342no—
455#125—348no—
456#125—342no—
457C22⋊Q8—348no—
458C22⋊Q8—348no—
459C22⋊Q8—348no—
460C4×Q8—22no—
461C4×Q8—174no—
462C4×Q8—174no—
463C4×Q8—174no—
464C4×Q8—174no—
465C4×Q8—348no—
466C4×Q8—342no—
467C4×Q8—342no—
468C4×Q8C22×D1714yes—
469C4×D4—174no—
470C4×D4—174no—
471C4×D4—174no—
472C4×D4—342no—
473C4×D4—342no—
474C4×D4—342no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—21no—
477C2×C4⋊C4—171no—
478C2×C4⋊C4—171no—
479C2×C4⋊C4—171no—
480C2×C4⋊C4—171no—
481C2×C4⋊C4—171no—
482C2×C4⋊C4—171no—
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⋊C4—341no—
491C2×C4⋊C4—341no—
492C2×C4⋊C4C22×D1711yescharacteristic
493C2×C4⋊C4C22×D1711yescharacteristic
494C2×C4⋊C4C22×D1711yescharacteristic
495C2×C22⋊C4—341no—
496C2×C22⋊C4—341no—
497C2×C22⋊C4—341no—
498C2×C42—21no—
499C2×C42—171no—
500C2×C42—171no—
501C2×C42—341no—
502C2×C42—341no—
503C2×C42C22×D1711yescharacteristic
504#107—174no—
505#107—174no—
506#107—174no—
507#107—174no—
508#107C22×D1714yes—
509#107C22×D1714yes—
510#106—174no—
511#106—174no—
512#106—174no—
513C4⋊C8—174no—
514C4⋊C8—174no—
515C4⋊C8C22×D1714yes—
516#103—174no—
517#103C22×D1714yes—
518#103C22×D1714yes—
519#102—174no—
520#102—174no—
521#102—174no—
522#97—174no—
523#97—174no—
524C4×C8—174no—
525C17C2×#338611yescharacteristic, complemented, Sylow
526C24—341no—
527C2×Q8—21no—
528C2×Q8—24no—
529C2×Q8—22no—
530C2×Q8—44no—
531C2×Q8—174no—
532C2×Q8—344no—
533C2×Q8—344no—
534C2×Q8—344no—
535C2×Q8—344no—
536C2×Q8—684no—
537C2×Q8—684no—
538C2×Q8—684no—
539C2×Q8—6832no—
540C2×Q8Q8×D1714yescomplemented
541C2×Q8C23×D1712yes—
542C2×D4—174no—
543C2×D4—172no—
544C2×D4—341no—
545C2×D4—342no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—171no—
551C22×C4—171no—
552C22×C4—171no—
553C22×C4—171no—
554C22×C4—344no—
555C22×C4—344no—
556C22×C4—341no—
557C22×C4—341no—
558C22×C4—341no—
559C22×C4—344no—
560C22×C4—684no—
561C22×C4—684no—
562C22×C4—684no—
563C22×C4D4×D1711yescharacteristic
564C22×C4D4×D1711yescharacteristic
565C22×C4C23×D1711yescharacteristic
566SD16—1716no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—174no—
570C2×C8—172no—
571C2×C8—172no—
572C2×C8—342no—
573C2×C8C23×D1712yes—
574C2×C8C23×D1712yes—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—174no—
581C4⋊C4—174no—
582C4⋊C4—174no—
583C4⋊C4—172no—
584C4⋊C4—172no—
585C4⋊C4—172no—
586C4⋊C4—344no—
587C4⋊C4—344no—
588C4⋊C4—344no—
589C4⋊C4—344no—
590C4⋊C4—344no—
591C4⋊C4—344no—
592C4⋊C4—344no—
593C4⋊C4—341no—
594C4⋊C4—341no—
595C4⋊C4—341no—
596C4⋊C4—344no—
597C4⋊C4—344no—
598C4⋊C4C23×D1712yes—
599C4⋊C4C23×D1712yes—
600C4⋊C4C23×D1712yes—
601C22⋊C4—344no—
602C22⋊C4—344no—
603C22⋊C4—344no—
604C42—24no—
605C42—172no—
606C42—172no—
607C42—172no—
608C42—172no—
609C42—344no—
610C42—344no—
611C42D4×D1712yes—
612C42C23×D1712yes—
613C23—344no—
614C23—342no—
615C23—682no—
616C23—682no—
617C23C2×D4×D1711yescharacteristic
618Q8—24no—
619Q8—22no—
620Q8—48no—
621Q8—348no—
622Q8—688no—
623Q8—688no—
624Q8—688no—
625Q8C2×Q8×D1714yescomplemented
626D4—174no—
627D4—344no—
628D4—342no—
629C2×C4—24no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—174no—
640C2×C4—172no—
641C2×C4—172no—
642C2×C4—172no—
643C2×C4—172no—
644C2×C4—342no—
645C2×C4—342no—
646C2×C4—342no—
647C2×C4—342no—
648C2×C4—342no—
649C2×C4—342no—
650C2×C4—688no—
651C2×C4—688no—
652C2×C4—688no—
653C2×C4—682no—
654C2×C4—682no—
655C2×C4—682no—
656C2×C4C2×D4×D1712yes—
657C2×C4C2×D4×D1712yes—
658C2×C4C2×D4×D1711yescharacteristic
659C2×C4C2×Q8×D1712yes—
660C2×C4#1058769712yes—
661C2×C4C24×D1711yescharacteristic
662C8—22no—
663C8—22no—
664C8—174no—
665C8—342no—
666C22—344no—
667C22—688no—
668C22—682no—
669C22—682no—
670C22#1176347212yes—
671C22AGL(1,ℤ/8)×D1712yes—
672C22#1176362212yes—
673C22C22×D4×D1711yescharacteristic
674C4—22no—
675C4—24no—
676C4—22no—
677C4—42no—
678C4—42no—
679C4—42no—
680C4—174no—
681C4—342no—
682C4—342no—
683C4—342no—
684C4—682no—
685C4—682no—
686C4—682no—
687C4#1176347212yes—
688C4C22×Q8×D1711yescharacteristic
689C4C2×#1058769711yescharacteristic
690C2—684no—
691C2#1454170814yesdirect product factor
692C2C2×#1176347211yescharacteristic
693C2C2×AGL(1,ℤ/8)×D1711yescharacteristic
694C2C2×#1176362211yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#477C2
socleC23×C17C22×D4
prime radicalC22×D68C23
hypercenterC2×#477D17
hypocenterC17C2×#3386
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#477

Complements

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

NH ≅ G/Ntype
1. C2×#11763535C2semidirect
3. #14541708C2direct (N × H)
4. C2×#11763217C2semidirect
5. C2×#11763215C2semidirect
6. C2×#11763213C2semidirect
7. C2×#11763102C2semidirect
8. C2×#11763092C2semidirect
12. C2×#11762938C2semidirect
16. C2×C17×#477C2semidirect
20. #11763535C22semidirect
41. #11763217C22semidirect
42. #11763215C22semidirect
43. #11763213C22semidirect
46. #11763102C22semidirect
47. #11763092C22semidirect
49. #11762938C22semidirect
71. C17×#477C22semidirect
107. C2×#63230Q8semidirect
183. C2×Q8×C17C2×Q8semidirect
233. #63230C2×Q8semidirect
262. C2×#3622C2×Q8semidirect
274. Q8×C17C22×Q8semidirect
318. #3622C22×Q8semidirect
326. C2×#477D17semidirect
391. #477C2×D17semidirect
419. C2×C17#3386semidirect
525. C17C2×#3386semidirect
540. C2×Q8Q8×D17semidirect
625. Q8C2×Q8×D17semidirect
691. C2#14541708direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117635352
C2×#117634742
#145417082
C2×#117632172
C2×#117632152
C2×#117632132
C2×#117631022
C2×#117630922
C2×#117631122
C2×#117631102
C2×#117630882
C2×#117629382
C2×#117629122
C2×#117629072
C2×#117628942
C2×C17×#4772
C2×#338617