Finite Group Databasebeta

← C2×#14541697 #17914816

Subgroups — C2×#14541697 #17914816

Order 4352.

1854 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×Q8×Dic34C211yesmaximal, characteristic, complemented
2C2×#11763515C211yesmaximal, characteristic
3#14541697C2116yesmaximal, direct product factor
4C2×#11763219C211yesmaximal, characteristic, complemented
5C2×#11763216C211yesmaximal, characteristic, complemented
6C2×#11763213C211yesmaximal, characteristic, complemented
7C2×#11763118C211yesmaximal, characteristic, complemented
8C2×#11763102C211yesmaximal, characteristic, complemented
9C2×#11763098C211yesmaximal, characteristic
10C2×#11763090C211yesmaximal, characteristic
11C2×#11763088C211yesmaximal, characteristic
12C2×#11762938C211yesmaximal, characteristic, complemented
13C2×#11762912C211yesmaximal, characteristic
14C2×#11762907C211yesmaximal, characteristic
15C2×#11762894C211yesmaximal, characteristic
16C2×C17×#479C211yesmaximal, characteristic, complemented
17C22×#63230C2211yescharacteristic
18Q8×Dic34—24no—
19Q8×Dic34C2218yescomplemented
20#11763515—24no—
21#11763515C2218yes—
22C2×#10587555—21no—
23C2×#10587555C2211yescharacteristic
24C2×#10587574—21no—
25C2×#10587574—21no—
26C2×#10587574C2211yescharacteristic
27C2×#10587574C2211yescharacteristic
28C2×#10587574C2211yescharacteristic
29C2×#10587576C2211yescharacteristic
30C2×#10587583—21no—
31C2×#10587582—21no—
32C2×#10587582—21no—
33C2×Q8×Dic17C2211yescharacteristic
34C2×Q8×Dic17C2211yescharacteristic
35C2×C4×Dic34—21no—
36C2×C4×Dic34C2211yescharacteristic
37C2×C4×D68C2211yescharacteristic
38C2×#10587579C2211yescharacteristic
39C2×#10587579C2211yescharacteristic
40C2×C4⋊C4×D17—21no—
41#11763219C2218yescomplemented
42#11763216C2218yescomplemented
43#11763213C2218yescomplemented
44#11763118C2218yescomplemented
45#11763102C2218yescomplemented
46#11763098C2218yes—
47#11763090C2218yes—
48#11763088C2218yes—
49#11762938C2218yescomplemented
50#11762912C2218yes—
51#11762907C2218yes—
52#11762894C2218yes—
53C2×#10587489C2211yescharacteristic
54C2×#10587489C2211yescharacteristic
55C2×#10587478C2211yescharacteristic
56C2×#10587478C2211yescharacteristic
57C2×#10587478C2211yescharacteristic
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×#125C2211yescharacteristic
70C2×C4×Q8×C17C2211yescharacteristic
71C17×#479C2218yescomplemented
72C2×C17×#107C2211yescharacteristic
73C2×C17×#106C2211yescharacteristic
74C2×C17×C4⋊C8C2211yescharacteristic
75C2×C17×#103C2211yescharacteristic
76C2×C17×#103C2211yescharacteristic
77C22×Q8×C17C2311yescharacteristic
78C22×D68C2311yescharacteristic
79C22×C4×D17—21no—
80C22×C4×D17—21no—
81C22×C4×D17—21no—
82C22×Dic34—21no—
83C22×Dic34—21no—
84C22×Dic34—21no—
85C22×Dic34—21no—
86C22×Dic34D411yescharacteristic
87C22×C8×C17C2311yescharacteristic
88C22×C8×C17C2311yescharacteristic
89C17×#125—22no—
90C17×#125C2314yes—
91C4×Q8×C17—22no—
92C4×Q8×C17C2314yes—
93C2×C4⋊C4×C17—21no—
94C2×C4⋊C4×C17—21no—
95C2×C4⋊C4×C17—21no—
96C2×C4⋊C4×C17C2311yescharacteristic
97C2×C4⋊C4×C17C2311yescharacteristic
98C2×C4⋊C4×C17C2311yescharacteristic
99C2×C42×C17—21no—
100C2×C42×C17C2311yescharacteristic
101Q8×Dic17—22no—
102Q8×Dic17—22no—
103Q8×Dic17C2314yes—
104Q8×Dic17C2314yes—
105C2×#63230Q818yescomplemented
106C2×#63230C2314yes—
107C2×#63227—21no—
108C2×#63227—21no—
109C2×#63227—21no—
110C2×C4⋊Dic17—21no—
111C2×C4⋊Dic17—21no—
112C2×C4⋊Dic17—21no—
113C2×C4⋊Dic17—21no—
114C2×C4⋊Dic17D411yescharacteristic
115C2×C4⋊Dic17C2311yescharacteristic
116C2×C4⋊Dic17C2311yescharacteristic
117C2×C4⋊Dic17C2311yescharacteristic
118C2×#63225—21no—
119C2×#63225—21no—
120C2×#63225—21no—
121C2×#63225—21no—
122C2×#63225D411yescharacteristic
123C2×#63225D411yescharacteristic
124C2×C4×Dic17—21no—
125C2×C4×Dic17—21no—
126C2×C4×Dic17C2311yescharacteristic
127C2×C4×Dic17C2311yescharacteristic
128C22×#3622C2311yescharacteristic
129C22×#3622C2311yescharacteristic
130#10587583—28no—
131#10587582—28no—
132#10587582—28no—
133#10587579—22no—
134#10587579—22no—
135#10587579C2314yes—
136#10587579C2314yes—
137C4⋊C4×D17—28no—
138#10587576—22no—
139#10587576C2314yes—
140#10587574—28no—
141#10587574—28no—
142#10587574—22no—
143#10587574—22no—
144#10587574—22no—
145#10587574C2314yes—
146#10587574C2314yes—
147#10587574C2314yes—
148C4×D68—22no—
149C4×D68C2314yes—
150#10587555—28no—
151#10587555—22no—
152#10587555C2314yes—
153C4×Dic34—28no—
154C4×Dic34D414yes—
155C4×Dic34C2314yes—
156C17×#107C2314yes—
157C17×#106C2314yes—
158C17×C4⋊C8C2314yes—
159C17×#103C2314yes—
160C17×#103C2314yes—
161#10587506C2314yes—
162#10587492C2314yes—
163#10587492C2314yes—
164#10587489C2314yes—
165#10587489C2314yes—
166#10587486C2314yes—
167#10587485C2314yes—
168#10587485C2314yes—
169C8×Dic17C2314yes—
170#10587480C2314yes—
171#10587479C2314yes—
172#10587479C2314yes—
173#10587478C2314yes—
174#10587478C2314yes—
175#10587478C2314yes—
176#10587474C2314yes—
177C23×D17—21no—
178C2×Q8×C17—21no—
179C2×Q8×C17—22no—
180C2×Q8×C17C2×Q814yes—
181C2×Q8×C17C2412yes—
182C22×C4×C17—21no—
183C22×C4×C17—21no—
184C22×C4×C17—21no—
185C22×C4×C17—21no—
186C22×C4×C17C2×D411yescharacteristic
187C22×C4×C17C2×D411yescharacteristic
188C22×C4×C17C2411yescharacteristic
189C22×Dic17—21no—
190C22×Dic17—21no—
191C22×Dic17—21no—
192C22×Dic17C2×D411yescharacteristic
193C22×Dic17C2×D411yescharacteristic
194C22×Dic17C2×D411yescharacteristic
195C22×Dic17C2×D411yescharacteristic
196C2×D68—21no—
197C2×D68—22no—
198C2×D68C2×Q814yes—
199C2×D68C2412yes—
200C2×C4×D17—24no—
201C2×C4×D17—24no—
202C2×C4×D17—24no—
203C2×C4×D17—44no—
204C2×C4×D17—82no—
205C2×C4×D17—82no—
206C2×Dic34—24no—
207C2×Dic34—24no—
208C2×Dic34—24no—
209C2×Dic34—24no—
210C2×Dic34—24no—
211C2×Dic34—82no—
212C2×Dic34—82no—
213C2×Dic34—82no—
214C2×Dic34—82no—
215C2×Dic34C2×D414yes—
216C2×C8×C17—22no—
217C2×C8×C17—22no—
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—24no—
225C4⋊C4×C17—21no—
226C4⋊C4×C17C2412yes—
227C4⋊C4×C17C2412yes—
228C4⋊C4×C17C2412yes—
229C42×C17—24no—
230C42×C17C2×D412yes—
231C42×C17C2412yes—
232#63230C2×Q8116yescomplemented
233#63227—24no—
234#63227—24no—
235#63227—24no—
236C4⋊Dic17—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#63225C2×D414yes—
252#63225C2×D414yes—
253C4×Dic17—24no—
254C4×Dic17—24no—
255C4×Dic17C2×D412yes—
256C4×Dic17C2×D412yes—
257C4×Dic17C2412yes—
258C4×Dic17C2412yes—
259C2×#3622—22no—
260C2×#3622C2×Q814yes—
261C2×#3622C2412yes—
262C2×#3622C2412yes—
263C2×#3385—171nomaximal, Sylow
264C23×C17C22×D411yescharacteristic
265C22×D17—24no—
266C22×D17—22no—
267C22×D17—42no—
268C22×D17—42no—
269Q8×C17—24no—
270Q8×C17—22no—
271Q8×C17C22×Q814yes—
272C2×C4×C17—24no—
273C2×C4×C17—22no—
274C2×C4×C17—22no—
275C2×C4×C17—22no—
276C2×C4×C17—22no—
277C2×C4×C17—22no—
278C2×C4×C17—22no—
279C2×C4×C17—42no—
280C2×C4×C17—42no—
281C2×C4×C17—42no—
282C2×C4×C17C22×D412yes—
283C2×C4×C17C22×D412yes—
284C2×C4×C17C22×D411yescharacteristic
285C2×C4×C17C22×Q812yes—
286C2×C4×C172−1+412yes—
287C2×C4×C17C2511yescharacteristic
288C2×Dic17—22no—
289C2×Dic17—22no—
290C2×Dic17—22no—
291C2×Dic17—22no—
292C2×Dic17—22no—
293C2×Dic17—22no—
294C2×Dic17—42no—
295C2×Dic17—42no—
296C2×Dic17—42no—
297C2×Dic17#13714yes—
298C2×Dic17C22×D412yes—
299C2×Dic17C22×D412yes—
300C2×Dic17C22×D412yes—
301C2×Dic17C22×D412yes—
302D68—24no—
303D68—22no—
304D68C22×Q814yes—
305C4×D17—48no—
306C4×D17—84no—
307C4×D17—84no—
308Dic34—28no—
309Dic34—84no—
310Dic34—84no—
311Dic34—84no—
312Dic34—84no—
313C8×C17—22no—
314C8×C17—22no—
315#3622—22no—
316#3622C22×Q814yes—
317C2×Q82—171no—
318C2×#554—171no—
319#3385—1716no—
320C2×#501—171no—
321C2×#501—171no—
322C2×#500—171no—
323C2×#479—171no—
324C2×#479D1711yescharacteristic, complemented
325C2×#477—171no—
326C2×#476—171no—
327C2×#474—171no—
328C2×#474—171no—
329C2×#446—171no—
330C2×#440—171no—
331C2×#440—171no—
332C2×C4×SD16—171no—
333C22×C17D4×Q812yes—
334C22×C17C2×#13712yes—
335C22×C17#57612yes—
336C22×C17C23×D411yescharacteristic
337C2×D17—24no—
338C2×D17—48no—
339C2×D17—42no—
340C2×D17—42no—
341C4×C17—24no—
342C4×C17—22no—
343C4×C17—22no—
344C4×C17—42no—
345C4×C17—42no—
346C4×C17—42no—
347C4×C17D4×Q812yes—
348C4×C17C23×Q811yescharacteristic
349C4×C17C2×2−1+411yescharacteristic
350Dic17—22no—
351Dic17—22no—
352Dic17—22no—
353Dic17—42no—
354Dic17—42no—
355Dic17—42no—
356Dic17C2×#13714yes—
357C22×SD16—171no—
358Q82—178no—
359Q82—344no—
360#554—178no—
361#554—344no—
362C2×C4⋊Q8—171no—
363C2×C4⋊Q8—171no—
364C2×C4⋊Q8—171no—
365C2×C4⋊Q8—171no—
366C2×C4⋊Q8—341no—
367C2×C4⋊Q8—341no—
368C2×C4⋊Q8—341no—
369C2×#125—171no—
370C2×#125C2×D1711yescharacteristic
371C2×C22⋊Q8—341no—
372C2×C22⋊Q8—341no—
373C2×C22⋊Q8—341no—
374C2×C4×Q8—171no—
375C2×C4×Q8—171no—
376C2×C4×Q8—171no—
377C2×C4×Q8—341no—
378C2×C4×Q8C2×D1711yescharacteristic
379C2×C4×D4—171no—
380C2×C4×D4—171no—
381C2×C4×D4—171no—
382C22×C4⋊C4—341no—
383#501—178no—
384#501—178no—
385#500—178no—
386#479—178no—
387#479C2×D1718yescomplemented
388#477—178no—
389#476—178no—
390#474—178no—
391#474—178no—
392#446—178no—
393#440—178no—
394#440—178no—
395C4×SD16—178no—
396C2×#107—171no—
397C2×#107—171no—
398C2×#107—171no—
399C2×#107—171no—
400C2×#107—171no—
401C2×#107C2×D1711yescharacteristic
402C2×#106—171no—
403C2×#106—171no—
404C2×#106C2×D1711yescharacteristic
405C2×C4⋊C8—171no—
406C2×C4⋊C8—171no—
407C2×C4⋊C8C2×D1711yescharacteristic
408C2×#103—171no—
409C2×#103C2×D1711yescharacteristic
410C2×#103C2×D1711yescharacteristic
411C2×#102—171no—
412C2×#102—171no—
413C2×#102—171no—
414C2×#97—171no—
415C2×#97—171no—
416C2×C4×C8—171no—
417C2×C17#338514yescomplemented
418C2×C17C2×D4×Q811yescharacteristic
419C2×C17C22×#13711yescharacteristic
420C2×C17C2×#57611yescharacteristic
421D17—44no—
422C22×Q8—171no—
423C22×Q8—341no—
424C22×Q8—341no—
425C22×Q8—341no—
426C22×Q8—341no—
427C22×Q8C22×D1711yescharacteristic
428C22×D4—171no—
429C23×C4—341no—
430C23×C4—341no—
431C23×C4—341no—
432C2×SD16—178no—
433C2×SD16—174no—
434C22×C8—171no—
435C22×C8—171no—
436C22×C8C22×D1711yescharacteristic
437C22×C8C22×D1711yescharacteristic
438C4⋊Q8—174no—
439C4⋊Q8—174no—
440C4⋊Q8—174no—
441C4⋊Q8—174no—
442C4⋊Q8—348no—
443C4⋊Q8—342no—
444C4⋊Q8—342no—
445C4⋊Q8—342no—
446C4⋊Q8—348no—
447C4⋊Q8—348no—
448C4⋊Q8—342no—
449#125—22no—
450#125—174no—
451#125—342no—
452#125C22×D1714yes—
453C22⋊Q8—348no—
454C22⋊Q8—348no—
455C22⋊Q8—348no—
456C4×Q8—22no—
457C4×Q8—174no—
458C4×Q8—174no—
459C4×Q8—174no—
460C4×Q8—174no—
461C4×Q8—348no—
462C4×Q8—342no—
463C4×Q8—342no—
464C4×Q8C22×D1714yes—
465C4×D4—174no—
466C4×D4—174no—
467C4×D4—174no—
468C4×D4—342no—
469C4×D4—342no—
470C4×D4—342no—
471C2×C4⋊C4—21no—
472C2×C4⋊C4—21no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—171no—
475C2×C4⋊C4—171no—
476C2×C4⋊C4—171no—
477C2×C4⋊C4—171no—
478C2×C4⋊C4—171no—
479C2×C4⋊C4—171no—
480C2×C4⋊C4—348no—
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⋊C4C22×D1711yescharacteristic
490C2×C4⋊C4C22×D1711yescharacteristic
491C2×C4⋊C4C22×D1711yescharacteristic
492C2×C22⋊C4—341no—
493C2×C22⋊C4—341no—
494C2×C22⋊C4—341no—
495C2×C42—21no—
496C2×C42—171no—
497C2×C42—171no—
498C2×C42—341no—
499C2×C42—341no—
500C2×C42C22×D1711yescharacteristic
501#107—174no—
502#107—174no—
503#107—174no—
504#107—174no—
505#107—174no—
506#107C22×D1714yes—
507#106—174no—
508#106—174no—
509#106C22×D1714yes—
510C4⋊C8—174no—
511C4⋊C8—174no—
512C4⋊C8C22×D1714yes—
513#103—174no—
514#103C22×D1714yes—
515#103C22×D1714yes—
516#102—174no—
517#102—174no—
518#102—174no—
519#97—174no—
520#97—174no—
521C4×C8—174no—
522C17C2×#338511yescharacteristic, complemented, Sylow
523C24—341no—
524C2×Q8—21no—
525C2×Q8—22no—
526C2×Q8—174no—
527C2×Q8—344no—
528C2×Q8—344no—
529C2×Q8—344no—
530C2×Q8—344no—
531C2×Q8—344no—
532C2×Q8—1362no—
533C2×Q8—1362no—
534C2×Q8—1362no—
535C2×Q8—1362no—
536C2×Q8Q8×D1714yes—
537C2×Q8C23×D1712yes—
538C2×D4—174no—
539C2×D4—172no—
540C2×D4—341no—
541C2×D4—342no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—171no—
547C22×C4—171no—
548C22×C4—171no—
549C22×C4—171no—
550C22×C4—344no—
551C22×C4—344no—
552C22×C4—341no—
553C22×C4—341no—
554C22×C4—341no—
555C22×C4—344no—
556C22×C4—684no—
557C22×C4—1362no—
558C22×C4—1362no—
559C22×C4D4×D1711yescharacteristic
560C22×C4D4×D1711yescharacteristic
561C22×C4C23×D1711yescharacteristic
562SD16—1716no—
563C2×C8—22no—
564C2×C8—22no—
565C2×C8—174no—
566C2×C8—172no—
567C2×C8—172no—
568C2×C8—342no—
569C2×C8C23×D1712yes—
570C2×C8C23×D1712yes—
571C4⋊C4—24no—
572C4⋊C4—24no—
573C4⋊C4—24no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—174no—
578C4⋊C4—174no—
579C4⋊C4—174no—
580C4⋊C4—172no—
581C4⋊C4—172no—
582C4⋊C4—172no—
583C4⋊C4—344no—
584C4⋊C4—344no—
585C4⋊C4—344no—
586C4⋊C4—344no—
587C4⋊C4—344no—
588C4⋊C4—344no—
589C4⋊C4—344no—
590C4⋊C4—341no—
591C4⋊C4—341no—
592C4⋊C4—341no—
593C4⋊C4—344no—
594C4⋊C4C23×D1712yes—
595C4⋊C4C23×D1712yes—
596C4⋊C4C23×D1712yes—
597C22⋊C4—344no—
598C22⋊C4—344no—
599C22⋊C4—344no—
600C42—24no—
601C42—172no—
602C42—172no—
603C42—172no—
604C42—172no—
605C42—344no—
606C42—344no—
607C42D4×D1712yes—
608C42C23×D1712yes—
609C23—344no—
610C23—342no—
611C23—682no—
612C23—682no—
613C23C2×D4×D1711yescharacteristic
614Q8—24no—
615Q8—22no—
616Q8—348no—
617Q8—1364no—
618Q8—1364no—
619Q8—1364no—
620Q8—1364no—
621Q8C2×Q8×D1714yes—
622D4—174no—
623D4—344no—
624D4—342no—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—174no—
636C2×C4—172no—
637C2×C4—172no—
638C2×C4—172no—
639C2×C4—172no—
640C2×C4—342no—
641C2×C4—342no—
642C2×C4—342no—
643C2×C4—342no—
644C2×C4—342no—
645C2×C4—342no—
646C2×C4—688no—
647C2×C4—682no—
648C2×C4—682no—
649C2×C4—682no—
650C2×C4—1364no—
651C2×C4—1364no—
652C2×C4C2×D4×D1712yes—
653C2×C4C2×D4×D1712yes—
654C2×C4C2×D4×D1711yescharacteristic
655C2×C4C2×Q8×D1712yes—
656C2×C4#1058769712yes—
657C2×C4C24×D1711yescharacteristic
658C8—22no—
659C8—22no—
660C8—174no—
661C8—342no—
662C22—344no—
663C22—688no—
664C22—682no—
665C22—682no—
666C22#1176347212yes—
667C22#137×D1712yes—
668C22#1176361112yes—
669C22C22×D4×D1711yescharacteristic
670C4—22no—
671C4—22no—
672C4—24no—
673C4—42no—
674C4—42no—
675C4—42no—
676C4—174no—
677C4—342no—
678C4—342no—
679C4—342no—
680C4—682no—
681C4—682no—
682C4—682no—
683C4#1176347212yes—
684C4C22×Q8×D1711yescharacteristic
685C4C2×#1058769711yescharacteristic
686C2—684no—
687C2#1454169714yesdirect product factor
688C2C2×#1176347211yescharacteristic
689C2C2×#137×D1711yescharacteristic
690C2C2×#1176361111yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#479C2
socleC23×C17C22×D4
prime radicalC22×D68C23
hypercenterC2×#479D17
hypocenterC17C2×#3385
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
1. C2×Q8×Dic34C2semidirect
3. #14541697C2direct (N × H)
4. C2×#11763219C2semidirect
5. C2×#11763216C2semidirect
6. C2×#11763213C2semidirect
7. C2×#11763118C2semidirect
8. C2×#11763102C2semidirect
12. C2×#11762938C2semidirect
16. C2×C17×#479C2semidirect
19. Q8×Dic34C22semidirect
41. #11763219C22semidirect
42. #11763216C22semidirect
43. #11763213C22semidirect
44. #11763118C22semidirect
45. #11763102C22semidirect
49. #11762938C22semidirect
71. C17×#479C22semidirect
105. C2×#63230Q8semidirect
232. #63230C2×Q8semidirect
324. C2×#479D17semidirect
387. #479C2×D17semidirect
417. C2×C17#3385semidirect
522. C17C2×#3385semidirect
687. C2#14541697direct (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×#117635152
#145416972
C2×#117632192
C2×#117632162
C2×#117632132
C2×#117631182
C2×#117631022
C2×#117630982
C2×#117630902
C2×#117630882
C2×#117629382
C2×#117629122
C2×#117629072
C2×#117628942
C2×C17×#4792
C2×#338517