Finite Group Databasebeta

← C2×#14541741 #17914864

Subgroups — C2×#14541741 #17914864

Order 4352.

1898 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×#11763516C211yesmaximal, characteristic, complemented
2C2×#11763515C211yesmaximal, characteristic, complemented
3#14541741C2116yesmaximal, direct product factor
4C2×#11763219C211yesmaximal, characteristic, complemented
5C2×#11763216C211yesmaximal, characteristic, complemented
6C2×#11763210C211yesmaximal, characteristic, complemented
7C2×#11763112C211yesmaximal, characteristic, complemented
8C2×#11763108C211yesmaximal, characteristic, complemented
9C2×#11763107C211yesmaximal, characteristic, complemented
10C2×#11763090C211yesmaximal, characteristic, complemented
11C2×#11763087C211yesmaximal, characteristic, complemented
12C2×#11762938C211yesmaximal, characteristic, complemented
13C2×#11762919C211yesmaximal, characteristic
14C2×#11762918C211yesmaximal, characteristic
15C2×#11762889C211yesmaximal, characteristic
16C2×C17×#478C211yesmaximal, characteristic, complemented
17C22×#63228C2211yescharacteristic
18#11763516—24no—
19#11763516C2218yescomplemented
20#11763515—24no—
21#11763515C2218yescomplemented
22C2×#10587555C2211yescharacteristic
23C2×#10587574C2211yescharacteristic
24C2×#10587576C2211yescharacteristic
25C2×#10587576C2211yescharacteristic
26C2×#10587576C2211yescharacteristic
27C2×#10587583—21no—
28C2×#10587610—21no—
29C2×#10587582—21no—
30C2×#10587582—21no—
31C2×#10587564—21no—
32C2×#10587564—21no—
33C2×C4×Dic34C2211yescharacteristic
34C2×C4×D68C2211yescharacteristic
35C2×D4×Dic17C2211yescharacteristic
36C2×D4×Dic17C2211yescharacteristic
37C2×#10587579C2211yescharacteristic
38C2×#10587579C2211yescharacteristic
39C22×C4⋊Dic17—21no—
40C2×C4⋊C4×D17—21no—
41#11763219C2218yescomplemented
42#11763216C2218yescomplemented
43#11763210C2218yescomplemented
44#11763112C2218yescomplemented
45#11763108C2218yescomplemented
46#11763107C2218yescomplemented
47#11763090C2218yescomplemented
48#11763087C2218yescomplemented
49#11762938C2218yescomplemented
50#11762919C2218yes—
51#11762918C2218yes—
52#11762889C2218yes—
53C2×#10587489C2211yescharacteristic
54C2×#10587489C2211yescharacteristic
55C2×#10587478C2211yescharacteristic
56C2×#10587478C2211yescharacteristic
57C2×#10587479C2211yescharacteristic
58C2×#10587479C2211yescharacteristic
59C2×#10587479C2211yescharacteristic
60C2×#10587485C2211yescharacteristic
61C2×#10587485C2211yescharacteristic
62C2×#10587492C2211yescharacteristic
63C2×#10587492C2211yescharacteristic
64C2×#10587503C2211yescharacteristic
65C2×#10587480C2211yescharacteristic
66C2×#10587474C2211yescharacteristic
67C2×#10587486C2211yescharacteristic
68C2×C8×Dic17C2211yescharacteristic
69C2×C17×#125C2211yescharacteristic
70C2×C4×D4×C17C2211yescharacteristic
71C17×#478C2218yescomplemented
72C2×C17×#107C2211yescharacteristic
73C2×C17×#106C2211yescharacteristic
74C2×C17×C4⋊C8C2211yescharacteristic
75C2×C17×#102C2211yescharacteristic
76C2×C17×#102C2211yescharacteristic
77C22×D4×C17C2311yescharacteristic
78C23×C4×C17—21no—
79C23×Dic17—21no—
80C23×Dic17—21no—
81C22×D68C2311yescharacteristic
82C22×C4×D17—21no—
83C22×C4×D17—21no—
84C22×C4×D17—21no—
85C22×Dic34—21no—
86C22×Dic34—21no—
87C22×Dic34D411yescharacteristic
88C22×C8×C17C2311yescharacteristic
89C22×C8×C17C2311yescharacteristic
90C17×#125—22no—
91C17×#125C2314yes—
92C4×D4×C17—22no—
93C4×D4×C17C2314yes—
94C2×C4⋊C4×C17—21no—
95C2×C4⋊C4×C17—21no—
96C2×C4⋊C4×C17C2311yescharacteristic
97C2×C4⋊C4×C17C2311yescharacteristic
98C2×C4⋊C4×C17C2311yescharacteristic
99C2×C22⋊C4×C17—21no—
100C2×C42×C17C2311yescharacteristic
101C2×C22⋊Dic17—21no—
102C2×C22⋊Dic17—21no—
103D4×Dic17—22no—
104D4×Dic17—22no—
105D4×Dic17C2314yes—
106D4×Dic17C2314yes—
107C2×#63228Q818yescomplemented
108C2×#63228C2314yes—
109C2×#63227—21no—
110C2×#63227—21no—
111C2×#63227—21no—
112C2×C4⋊Dic17—28no—
113C2×C4⋊Dic17—21no—
114C2×C4⋊Dic17—21no—
115C2×C4⋊Dic17—21no—
116C2×C4⋊Dic17—21no—
117C2×C4⋊Dic17D411yescharacteristic
118C2×C4⋊Dic17C2311yescharacteristic
119C2×C4⋊Dic17C2311yescharacteristic
120C2×C4⋊Dic17C2311yescharacteristic
121#10587610—28no—
122C2×#63225—21no—
123C2×#63225—21no—
124C2×#63225—21no—
125C2×#63225—21no—
126C2×#63225D411yescharacteristic
127C2×#63225D411yescharacteristic
128C2×C4×Dic17C2311yescharacteristic
129C2×C4×Dic17C2311yescharacteristic
130C22×#3622C2311yescharacteristic
131C22×#3622C2311yescharacteristic
132#10587583—28no—
133#10587582—28no—
134#10587582—28no—
135#10587579—22no—
136#10587579—22no—
137#10587579C2314yes—
138#10587579C2314yes—
139C4⋊C4×D17—28no—
140#10587576—22no—
141#10587576—22no—
142#10587576—22no—
143#10587576C2314yes—
144#10587576C2314yes—
145#10587576C2314yes—
146#10587574—22no—
147#10587574C2314yes—
148#10587564—28no—
149#10587564—28no—
150C4×D68—22no—
151C4×D68C2314yes—
152#10587555—22no—
153#10587555C2314yes—
154C4×Dic34D414yes—
155C4×Dic34C2314yes—
156C17×#107C2314yes—
157C17×#106C2314yes—
158C17×C4⋊C8C2314yes—
159C17×#102C2314yes—
160C17×#102C2314yes—
161#10587503C2314yes—
162#10587492C2314yes—
163#10587492C2314yes—
164#10587489C2314yes—
165#10587489C2314yes—
166#10587486C2314yes—
167#10587485C2314yes—
168#10587485C2314yes—
169C8×Dic17C2314yes—
170#10587480C2314yes—
171#10587479C2314yes—
172#10587479C2314yes—
173#10587479C2314yes—
174#10587478C2314yes—
175#10587478C2314yes—
176#10587474C2314yes—
177C24×C17—21no—
178C23×D17—21no—
179C2×D4×C17—21no—
180C2×D4×C17—22no—
181C2×D4×C17C2×Q814yes—
182C2×D4×C17C2412yes—
183C22×C4×C17—21no—
184C22×C4×C17—21no—
185C22×C4×C17—21no—
186C22×C4×C17—24no—
187C22×C4×C17—44no—
188C22×C4×C17C2×D411yescharacteristic
189C22×C4×C17C2×D411yescharacteristic
190C22×C4×C17C2411yescharacteristic
191C22×Dic17—21no—
192C22×Dic17—21no—
193C22×Dic17—21no—
194C22×Dic17—24no—
195C22×Dic17—24no—
196C22×Dic17—82no—
197C22×Dic17—82no—
198C22×Dic17C2×D411yescharacteristic
199C22×Dic17C2×D411yescharacteristic
200C22×Dic17C2×D411yescharacteristic
201C22×Dic17C2×D411yescharacteristic
202C2×D68—21no—
203C2×D68—22no—
204C2×D68C2×Q814yes—
205C2×D68C2412yes—
206C2×C4×D17—24no—
207C2×C4×D17—24no—
208C2×C4×D17—24no—
209C2×C4×D17—44no—
210C2×C4×D17—82no—
211C2×C4×D17—82no—
212C2×Dic34—24no—
213C2×Dic34—24no—
214C2×Dic34—42no—
215C2×Dic34—82no—
216C2×Dic34—82no—
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—
230C22⋊C4×C17—24no—
231C42×C17C2×D412yes—
232C42×C17C2412yes—
233C22⋊Dic17—24no—
234C22⋊Dic17—24no—
235#63228C2×Q8116yescomplemented
236#63227—24no—
237#63227—24no—
238#63227—24no—
239C4⋊Dic17—21no—
240C4⋊Dic17—21no—
241C4⋊Dic17—24no—
242C4⋊Dic17—21no—
243C4⋊Dic17—24no—
244C4⋊Dic17—24no—
245C4⋊Dic17—24no—
246C4⋊Dic17C2×D414yes—
247C4⋊Dic17C2412yes—
248C4⋊Dic17C2412yes—
249C4⋊Dic17C2412yes—
250#63225—24no—
251#63225—24no—
252#63225—24no—
253#63225—24no—
254#63225C2×D414yes—
255#63225C2×D414yes—
256C4×Dic17C2×D412yes—
257C4×Dic17C2×D412yes—
258C4×Dic17C2412yes—
259C4×Dic17C2412yes—
260C2×#3622—22no—
261C2×#3622C2×Q814yes—
262C2×#3622C2412yes—
263C2×#3622C2412yes—
264C2×#3389—171nomaximal, Sylow
265C23×C17—24no—
266C23×C17—22no—
267C23×C17—42no—
268C23×C17—42no—
269C23×C17C22×D411yescharacteristic
270C22×D17—24no—
271C22×D17—22no—
272C22×D17—42no—
273C22×D17—42no—
274D4×C17—24no—
275D4×C17—22no—
276D4×C17C22×Q814yes—
277C2×C4×C17—22no—
278C2×C4×C17—22no—
279C2×C4×C17—22no—
280C2×C4×C17—22no—
281C2×C4×C17—22no—
282C2×C4×C17—48no—
283C2×C4×C17—42no—
284C2×C4×C17—42no—
285C2×C4×C17—42no—
286C2×C4×C17C22×D412yes—
287C2×C4×C17C22×D412yes—
288C2×C4×C17C22×D411yescharacteristic
289C2×C4×C17C22×Q812yes—
290C2×C4×C172−1+412yes—
291C2×C4×C17C2511yescharacteristic
292C2×Dic17—22no—
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—84no—
303C2×Dic17—84no—
304C2×Dic17C22×D412yes—
305C2×Dic17C22×D412yes—
306C2×Dic17C22×D412yes—
307C2×Dic17C22×D412yes—
308D68—24no—
309D68—22no—
310D68C22×Q814yes—
311C4×D17—48no—
312C4×D17—84no—
313C4×D17—84no—
314Dic34—44no—
315Dic34—84no—
316Dic34—84no—
317C8×C17—22no—
318C8×C17—22no—
319#3622—22no—
320#3622C22×Q814yes—
321C2×#554—171no—
322C2×#554—171no—
323#3389—1716no—
324C2×#501—171no—
325C2×#501—171no—
326C2×#499—171no—
327C2×#478—171no—
328C2×#478—171no—
329C2×#478—171no—
330C2×#478D1711yescharacteristic, complemented
331C2×#474—171no—
332C2×#474—171no—
333C2×#446—171no—
334C2×#442—171no—
335C2×#442—171no—
336C2×C4×D8—171no—
337C22×C17—24no—
338C22×C17—48no—
339C22×C17—42no—
340C22×C17—42no—
341C22×C17D4×Q812yes—
342C22×C17#57512yes—
343C22×C17#57612yes—
344C22×C17C23×D411yescharacteristic
345C2×D17—24no—
346C2×D17—48no—
347C2×D17—42no—
348C2×D17—42no—
349C4×C17—22no—
350C4×C17—22no—
351C4×C17—42no—
352C4×C17—42no—
353C4×C17—42no—
354C4×C17D4×Q812yes—
355C4×C17C23×Q811yescharacteristic
356C4×C17C2×2−1+411yescharacteristic
357Dic17—22no—
358Dic17—22no—
359Dic17—22no—
360Dic17—22no—
361Dic17—42no—
362Dic17—42no—
363Dic17—42no—
364C22×D8—171no—
365#554—178no—
366#554—178no—
367#554—344no—
368#554—344no—
369C2×C4⋊Q8—171no—
370C2×C4⋊Q8—171no—
371C2×#125—171no—
372C2×#125—171no—
373C2×#125—171no—
374C2×#125C2×D1711yescharacteristic
375C2×C22⋊Q8—341no—
376C2×C22⋊Q8—341no—
377C2×C22⋊Q8—341no—
378C2×C22⋊Q8—341no—
379C2×C22⋊Q8—341no—
380C2×C22⋊Q8—341no—
381C2×C4×Q8—171no—
382C2×C4×D4—171no—
383C2×C4×D4—171no—
384C2×C4×D4—171no—
385C2×C4×D4—171no—
386C2×C4×D4—171no—
387C2×C4×D4C2×D1711yescharacteristic
388C22×C4⋊C4—341no—
389C22×C4⋊C4—341no—
390#501—178no—
391#501—178no—
392#499—178no—
393#478—178no—
394#478—178no—
395#478—178no—
396#478C2×D1718yescomplemented
397#474—178no—
398#474—178no—
399#446—178no—
400#442—178no—
401#442—178no—
402C4×D8—178no—
403C2×#107—171no—
404C2×#107—171no—
405C2×#107—171no—
406C2×#107—171no—
407C2×#107C2×D1711yescharacteristic
408C2×#106—171no—
409C2×#106—171no—
410C2×#106—171no—
411C2×#106C2×D1711yescharacteristic
412C2×C4⋊C8—171no—
413C2×C4⋊C8—171no—
414C2×C4⋊C8C2×D1711yescharacteristic
415C2×#102—171no—
416C2×#102—171no—
417C2×#102—171no—
418C2×#102—171no—
419C2×#102C2×D1711yescharacteristic
420C2×#102C2×D1711yescharacteristic
421C2×#97—171no—
422C2×#97—171no—
423C2×C4×C8—171no—
424C2×C17—44no—
425C2×C17#338914yescomplemented
426C2×C17C2×D4×Q811yescharacteristic
427C2×C17C2×#57511yescharacteristic
428C2×C17C2×#57611yescharacteristic
429D17—44no—
430C22×Q8—171no—
431C22×Q8—341no—
432C22×Q8—341no—
433C22×D4—171no—
434C22×D4C22×D1711yescharacteristic
435C23×C4—21no—
436C23×C4—341no—
437C23×C4—341no—
438C23×C4—341no—
439C23×C4—341no—
440C23×C4—341no—
441C2×D8—178no—
442C2×D8—174no—
443C22×C8—171no—
444C22×C8—171no—
445C22×C8C22×D1711yescharacteristic
446C22×C8C22×D1711yescharacteristic
447C4⋊Q8—174no—
448C4⋊Q8—174no—
449C4⋊Q8—342no—
450C4⋊Q8—342no—
451#125—22no—
452#125—174no—
453#125—174no—
454#125—174no—
455#125—342no—
456#125—342no—
457#125—342no—
458#125C22×D1714yes—
459C22⋊Q8—348no—
460C22⋊Q8—348no—
461C22⋊Q8—348no—
462C22⋊Q8—348no—
463C22⋊Q8—348no—
464C22⋊Q8—348no—
465C4×Q8—174no—
466C4×Q8—174no—
467C4×D4—22no—
468C4×D4—174no—
469C4×D4—174no—
470C4×D4—174no—
471C4×D4—174no—
472C4×D4—174no—
473C4×D4—342no—
474C4×D4—342no—
475C4×D4—342no—
476C4×D4—342no—
477C4×D4—342no—
478C4×D4C22×D1714yes—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—171no—
482C2×C4⋊C4—171no—
483C2×C4⋊C4—171no—
484C2×C4⋊C4—171no—
485C2×C4⋊C4—171no—
486C2×C4⋊C4—171no—
487C2×C4⋊C4—348no—
488C2×C4⋊C4—348no—
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⋊C4—341no—
497C2×C4⋊C4C22×D1711yescharacteristic
498C2×C4⋊C4C22×D1711yescharacteristic
499C2×C4⋊C4C22×D1711yescharacteristic
500C2×C22⋊C4—21no—
501C2×C22⋊C4—341no—
502C2×C22⋊C4—341no—
503C2×C22⋊C4—341no—
504C2×C22⋊C4—341no—
505C2×C22⋊C4—341no—
506C2×C42—171no—
507C2×C42—171no—
508C2×C42C22×D1711yescharacteristic
509#107—174no—
510#107—174no—
511#107—174no—
512#107—174no—
513#107C22×D1714yes—
514#106—174no—
515#106—174no—
516#106—174no—
517#106C22×D1714yes—
518C4⋊C8—174no—
519C4⋊C8—174no—
520C4⋊C8C22×D1714yes—
521#102—174no—
522#102—174no—
523#102—174no—
524#102—174no—
525#102C22×D1714yes—
526#102C22×D1714yes—
527#97—174no—
528#97—174no—
529C4×C8—174no—
530C17C2×#338911yescharacteristic, complemented, Sylow
531C24—21no—
532C24—341no—
533C2×Q8—174no—
534C2×Q8—344no—
535C2×Q8—344no—
536C2×Q8—682no—
537C2×Q8—1362no—
538C2×Q8—1362no—
539C2×D4—21no—
540C2×D4—22no—
541C2×D4—174no—
542C2×D4—172no—
543C2×D4—341no—
544C2×D4—342no—
545C2×D4Q8×D1714yes—
546C2×D4C23×D1712yes—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—24no—
551C22×C4—44no—
552C22×C4—171no—
553C22×C4—171no—
554C22×C4—171no—
555C22×C4—171no—
556C22×C4—344no—
557C22×C4—344no—
558C22×C4—344no—
559C22×C4—344no—
560C22×C4—341no—
561C22×C4—341no—
562C22×C4—341no—
563C22×C4—344no—
564C22×C4—684no—
565C22×C4—1362no—
566C22×C4—1362no—
567C22×C4—1362no—
568C22×C4—1362no—
569C22×C4D4×D1711yescharacteristic
570C22×C4D4×D1711yescharacteristic
571C22×C4C23×D1711yescharacteristic
572D8—1716no—
573C2×C8—22no—
574C2×C8—22no—
575C2×C8—174no—
576C2×C8—172no—
577C2×C8—172no—
578C2×C8—342no—
579C2×C8C23×D1712yes—
580C2×C8C23×D1712yes—
581C4⋊C4—24no—
582C4⋊C4—24no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—174no—
587C4⋊C4—174no—
588C4⋊C4—174no—
589C4⋊C4—172no—
590C4⋊C4—172no—
591C4⋊C4—172no—
592C4⋊C4—344no—
593C4⋊C4—344no—
594C4⋊C4—344no—
595C4⋊C4—344no—
596C4⋊C4—344no—
597C4⋊C4—344no—
598C4⋊C4—344no—
599C4⋊C4—341no—
600C4⋊C4—341no—
601C4⋊C4—341no—
602C4⋊C4—344no—
603C4⋊C4C23×D1712yes—
604C4⋊C4C23×D1712yes—
605C4⋊C4C23×D1712yes—
606C22⋊C4—24no—
607C22⋊C4—344no—
608C22⋊C4—344no—
609C22⋊C4—344no—
610C22⋊C4—344no—
611C22⋊C4—344no—
612C42—172no—
613C42—172no—
614C42—172no—
615C42—172no—
616C42D4×D1712yes—
617C42C23×D1712yes—
618C23—24no—
619C23—22no—
620C23—42no—
621C23—42no—
622C23—344no—
623C23—342no—
624C23—682no—
625C23—682no—
626C23C2×D4×D1711yescharacteristic
627Q8—684no—
628Q8—1364no—
629Q8—1364no—
630D4—24no—
631D4—22no—
632D4—174no—
633D4—344no—
634D4—342no—
635D4C2×Q8×D1714yes—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—48no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—172no—
646C2×C4—172no—
647C2×C4—172no—
648C2×C4—172no—
649C2×C4—342no—
650C2×C4—342no—
651C2×C4—342no—
652C2×C4—342no—
653C2×C4—342no—
654C2×C4—342no—
655C2×C4—342no—
656C2×C4—688no—
657C2×C4—682no—
658C2×C4—682no—
659C2×C4—682no—
660C2×C4—1364no—
661C2×C4—1364no—
662C2×C4—1364no—
663C2×C4—1364no—
664C2×C4C2×D4×D1712yes—
665C2×C4C2×D4×D1712yes—
666C2×C4C2×D4×D1711yescharacteristic
667C2×C4C2×Q8×D1712yes—
668C2×C4#1058769712yes—
669C2×C4C24×D1711yescharacteristic
670C8—22no—
671C8—22no—
672C8—174no—
673C8—342no—
674C22—24no—
675C22—42no—
676C22—48no—
677C22—42no—
678C22—344no—
679C22—682no—
680C22—688no—
681C22—682no—
682C22#1176347212yes—
683C22#1176360512yes—
684C22#1176361112yes—
685C22C22×D4×D1711yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—342no—
692C4—342no—
693C4—342no—
694C4—342no—
695C4—682no—
696C4—682no—
697C4—682no—
698C4#1176347212yes—
699C4C22×Q8×D1711yescharacteristic
700C4C2×#1058769711yescharacteristic
701C2—44no—
702C2—684no—
703C2#1454174114yesdirect product factor
704C2C2×#1176347211yescharacteristic
705C2C2×#1176360511yescharacteristic
706C2C2×#1176361111yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#478C2
socleC23×C17C22×D4
prime radicalC22×#63228C22
hypercenterC2×#478D17
hypocenterC17C2×#3389
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
1. C2×#11763516C2semidirect
2. C2×#11763515C2semidirect
3. #14541741C2direct (N × H)
4. C2×#11763219C2semidirect
5. C2×#11763216C2semidirect
6. C2×#11763210C2semidirect
7. C2×#11763112C2semidirect
8. C2×#11763108C2semidirect
9. C2×#11763107C2semidirect
10. C2×#11763090C2semidirect
11. C2×#11763087C2semidirect
12. C2×#11762938C2semidirect
16. C2×C17×#478C2semidirect
19. #11763516C22semidirect
21. #11763515C22semidirect
41. #11763219C22semidirect
42. #11763216C22semidirect
43. #11763210C22semidirect
44. #11763112C22semidirect
45. #11763108C22semidirect
46. #11763107C22semidirect
47. #11763090C22semidirect
48. #11763087C22semidirect
49. #11762938C22semidirect
71. C17×#478C22semidirect
107. C2×#63228Q8semidirect
235. #63228C2×Q8semidirect
330. C2×#478D17semidirect
396. #478C2×D17semidirect
425. C2×C17#3389semidirect
530. C17C2×#3389semidirect
703. C2#14541741direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117635162
C2×#117635152
#145417412
C2×#117632192
C2×#117632162
C2×#117632102
C2×#117631122
C2×#117631082
C2×#117631072
C2×#117630902
C2×#117630872
C2×#117629382
C2×#117629192
C2×#117629182
C2×#117628892
C2×C17×#4782
C2×#338917