Finite Group Databasebeta

← C2×#14539947 #17906349

Subgroups — C2×#14539947 #17906349

Order 4352.

1822 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×#11763338C211yesmaximal, characteristic
2C2×#125×D17C211yesmaximal, characteristic, complemented
3#14539947C2116yesmaximal, direct product factor
4C2×#11763211C211yesmaximal, characteristic, complemented
5C2×#11763208C211yesmaximal, characteristic, complemented
6C2×#11763163C211yesmaximal, characteristic, complemented
7C2×#11763143C211yesmaximal, characteristic, complemented
8C2×#11763126C211yesmaximal, characteristic
9C2×#11763138C211yesmaximal, characteristic, complemented
10C2×#11763121C211yesmaximal, characteristic
11C2×#11763118C211yesmaximal, characteristic, complemented
12C2×#11763114C211yesmaximal, characteristic, complemented
13C2×#11763111C211yesmaximal, characteristic, complemented
14C2×#11763107C211yesmaximal, characteristic, complemented
15C2×#11762860C211yesmaximal, characteristic, complemented
16C2×C17×#488C211yesmaximal, characteristic, complemented
17#11763338—24no—
18#11763338C2218yes—
19C2×#10587565—21no—
20C2×#10587556C2211yescharacteristic
21C2×#10587556C2211yescharacteristic
22C2×#10587576C2211yescharacteristic
23C2×#10587576C2211yescharacteristic
24C2×#10587575—21no—
25C2×#10587575—21no—
26#125×D17—24no—
27#125×D17C2218yescomplemented
28C2×#10587569—21no—
29C2×#10587632C2211yescharacteristic
30C2×#10587624C2211yescharacteristic
31C2×Q8×Dic17C2211yescharacteristic
32C2×D4×Dic17C2211yescharacteristic
33C2×#10587567—21no—
34C2×#10587563—21no—
35C2×C4⋊C4×D17—21no—
36C2×C4⋊C4×D17—21no—
37C2×C4⋊C4×D17C2211yescharacteristic
38C2×C4⋊C4×D17C2211yescharacteristic
39C2×C42×D17C2211yescharacteristic
40#11763211C2218yescomplemented
41#11763208C2218yescomplemented
42#11763163C2218yescomplemented
43#11763143C2218yescomplemented
44#11763138C2218yescomplemented
45#11763126C2218yes—
46#11763121C2218yes—
47#11763118C2218yescomplemented
48#11763114C2218yescomplemented
49#11763111C2218yescomplemented
50#11763107C2218yescomplemented
51#11762860C2218yescomplemented
52C2×#10587489C2211yescharacteristic
53C2×#10587489C2211yescharacteristic
54C2×#10587478C2211yescharacteristic
55C2×#10587478C2211yescharacteristic
56C2×#10587488C2211yescharacteristic
57C2×#10587488C2211yescharacteristic
58C2×#10587479C2211yescharacteristic
59C2×#10587479C2211yescharacteristic
60C2×#10587485C2211yescharacteristic
61C2×#10587485C2211yescharacteristic
62C2×#10587506C2211yescharacteristic
63C2×#10587506C2211yescharacteristic
64C2×#10587503C2211yescharacteristic
65C2×#10587503C2211yescharacteristic
66C2×#10587491C2211yescharacteristic
67C2×#10587491C2211yescharacteristic
68C2×C4×#3622C2211yescharacteristic
69C2×C17×#125C2211yescharacteristic
70C2×C17×#124C2211yescharacteristic
71C17×#488C2218yescomplemented
72C2×C17×#103C2211yescharacteristic
73C2×C17×#103C2211yescharacteristic
74C2×C17×#102C2211yescharacteristic
75C2×C17×#102C2211yescharacteristic
76C2×C4×C8×C17C2211yescharacteristic
77C22×Q8×C17C2311yescharacteristic
78C22×D4×C17C2311yescharacteristic
79C22×C22⋊D17—21no—
80C23×Dic17—21no—
81C22×C4×D17—21no—
82C22×C4×D17—21no—
83C22×C4×D17D411yescharacteristic
84C22×C4×D17D411yescharacteristic
85C22×C4×D17C2311yescharacteristic
86C22×C8×C17C2311yescharacteristic
87C22×C8×C17C2311yescharacteristic
88C17×#125—22no—
89C17×#125C2314yes—
90C17×#124—22no—
91C17×#124C2314yes—
92C2×C4⋊C4×C17—21no—
93C2×C4⋊C4×C17—21no—
94C2×C4⋊C4×C17C2311yescharacteristic
95C2×C4⋊C4×C17C2311yescharacteristic
96C2×C22⋊C4×C17—21no—
97C2×C22⋊C4×C17—21no—
98C2×C42×C17C2311yescharacteristic
99C2×C22⋊Dic17—21no—
100C2×C22⋊Dic17—21no—
101#10587632—22no—
102#10587632C2314yes—
103Q8×Dic17—22no—
104Q8×Dic17C2314yes—
105#10587624—22no—
106#10587624C2314yes—
107D4×Dic17—22no—
108D4×Dic17C2314yes—
109C2×#63227—21no—
110C2×C4⋊Dic17—21no—
111C2×C4⋊Dic17—21no—
112C2×C4⋊Dic17—21no—
113C2×C4⋊Dic17C2311yescharacteristic
114C2×C4⋊Dic17C2311yescharacteristic
115C2×C4⋊Dic17C2311yescharacteristic
116C2×C4⋊Dic17C2311yescharacteristic
117C2×#63225—21no—
118C2×#63225—21no—
119C2×#63225—21no—
120C2×#63225—21no—
121C2×#63225—21no—
122C2×#63225—21no—
123C2×#63225—21no—
124C2×#63225—21no—
125C2×#63225—21no—
126C2×C4×Dic17—21no—
127C2×C4×Dic17D411yescharacteristic
128C2×C4×Dic17D411yescharacteristic
129C2×C4×Dic17C2311yescharacteristic
130C22×#3622C2311yescharacteristic
131C22×#3622C2311yescharacteristic
132C4⋊C4×D17—28no—
133C4⋊C4×D17—28no—
134C4⋊C4×D17—22no—
135C4⋊C4×D17—22no—
136C4⋊C4×D17C2314yes—
137C4⋊C4×D17C2314yes—
138#10587576—22no—
139#10587576—22no—
140#10587576C2314yes—
141#10587576C2314yes—
142#10587575—28no—
143#10587575—28no—
144#10587569—28no—
145#10587567—28no—
146#10587565—28no—
147#10587563—28no—
148C42×D17D414yes—
149C42×D17C2314yes—
150#10587556—22no—
151#10587556—22no—
152#10587556C2314yes—
153#10587556C2314yes—
154C17×#103C2314yes—
155C17×#103C2314yes—
156C17×#102C2314yes—
157C17×#102C2314yes—
158C4×C8×C17C2314yes—
159#10587506C2314yes—
160#10587506C2314yes—
161#10587503C2314yes—
162#10587503C2314yes—
163#10587491C2314yes—
164#10587491C2314yes—
165#10587489C2314yes—
166#10587489C2314yes—
167#10587488C2314yes—
168#10587488C2314yes—
169#10587485C2314yes—
170#10587485C2314yes—
171#10587479C2314yes—
172#10587479C2314yes—
173#10587478C2314yes—
174#10587478C2314yes—
175C4×#3622C2314yes—
176C24×C17—21no—
177C23×D17C2×D411yescharacteristic
178C2×Q8×C17—21no—
179C2×Q8×C17—22no—
180C2×Q8×C17—22no—
181C2×Q8×C17C2412yes—
182C2×D4×C17—21no—
183C2×D4×C17—22no—
184C2×D4×C17—22no—
185C2×D4×C17C2412yes—
186C22×C4×C17—21no—
187C22×C4×C17—21no—
188C22×C4×C17—21no—
189C22×C4×C17C2×D411yescharacteristic
190C22×C4×C17C2×D411yescharacteristic
191C22×C4×C17C2411yescharacteristic
192C2×C22⋊D17—24no—
193C2×C22⋊D17—44no—
194C22×Dic17—21no—
195C22×Dic17—21no—
196C22×Dic17—21no—
197C22×Dic17—21no—
198C22×Dic17—24no—
199C22×Dic17—44no—
200C22×Dic17C2×D411yescharacteristic
201C22×Dic17C2×D411yescharacteristic
202C22×Dic17C2×D411yescharacteristic
203C2×C4×D17—24no—
204C2×C4×D17—22no—
205C2×C4×D17—22no—
206C2×C4×D17—24no—
207C2×C4×D17—24no—
208C2×C4×D17—42no—
209C2×C4×D17—44no—
210C2×C4×D17—44no—
211C2×C4×D17C2×D414yes—
212C2×C4×D17C2×D412yes—
213C2×C4×D17C2×D414yes—
214C2×C4×D17C2412yes—
215C2×C8×C17—22no—
216C2×C8×C17—22no—
217C2×C8×C17C2412yes—
218C2×C8×C17C2412yes—
219C4⋊C4×C17—21no—
220C4⋊C4×C17—21no—
221C4⋊C4×C17—24no—
222C4⋊C4×C17—24no—
223C4⋊C4×C17C2412yes—
224C4⋊C4×C17C2412yes—
225C22⋊C4×C17—24no—
226C22⋊C4×C17—24no—
227C42×C17C2×D412yes—
228C42×C17C2412yes—
229C22⋊Dic17—24no—
230C22⋊Dic17—24no—
231#63227—24no—
232C4⋊Dic17—21no—
233C4⋊Dic17—21no—
234C4⋊Dic17—21no—
235C4⋊Dic17—21no—
236C4⋊Dic17—24no—
237C4⋊Dic17—24no—
238C4⋊Dic17—24no—
239C4⋊Dic17C2412yes—
240C4⋊Dic17C2412yes—
241C4⋊Dic17C2412yes—
242C4⋊Dic17C2412yes—
243#63225—24no—
244#63225—24no—
245#63225—24no—
246#63225—24no—
247#63225—24no—
248#63225—24no—
249#63225—24no—
250#63225—24no—
251#63225—24no—
252C4×Dic17—24no—
253C4×Dic17C2×D412yes—
254C4×Dic17C2×D414yes—
255C4×Dic17C2×D414yes—
256C4×Dic17C2412yes—
257C2×#3622—22no—
258C2×#3622—22no—
259C2×#3622C2412yes—
260C2×#3622C2412yes—
261C2×#3232—171nomaximal, Sylow
262C23×C17—22no—
263C23×C17—42no—
264C23×C17—42no—
265C23×C17—42no—
266C23×C17C22×D411yescharacteristic
267C22×D17—22no—
268C22×D17—22no—
269C22×D17#13514yes—
270C22×D17C22×D412yes—
271Q8×C17—22no—
272Q8×C17—22no—
273Q8×C17—42no—
274D4×C17—22no—
275D4×C17—22no—
276D4×C17—42no—
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×C172−1+412yes—
289C2×C4×C172−1+412yes—
290C2×C4×C17C2511yescharacteristic
291C22⋊D17—48no—
292C2×Dic17—22no—
293C2×Dic17—22no—
294C2×Dic17—22no—
295C2×Dic17—22no—
296C2×Dic17—22no—
297C2×Dic17—22no—
298C2×Dic17—22no—
299C2×Dic17—48no—
300C2×Dic17—42no—
301C2×Dic17—42no—
302C2×Dic17—42no—
303C2×Dic17—42no—
304C2×Dic17C22×D412yes—
305C2×Dic17C22×D412yes—
306C2×Dic17C22×D412yes—
307C4×D17—28no—
308C4×D17—24no—
309C4×D17—22no—
310C4×D17—22no—
311C4×D17—44no—
312C4×D17—48no—
313C4×D17—48no—
314C8×C17—22no—
315C8×C17—22no—
316#3622—22no—
317#3622—22no—
318C2×#529—171no—
319C22×#125—171no—
320#3232—1716no—
321C2×#499—171no—
322C2×#499—171no—
323C2×#488—171no—
324C2×#488D1711yescharacteristic, complemented
325C2×#484—171no—
326C2×#481—171no—
327C2×#483—171no—
328C2×#480—171no—
329C2×#479—171no—
330C2×#479—171no—
331C2×#478—171no—
332C2×#478—171no—
333C2×#431—171no—
334C22×C17—42no—
335C22×C17—42no—
336C22×C17—42no—
337C22×C17—84no—
338C22×C17#53612yes—
339C22×C17C2×#13512yes—
340C22×C17#57512yes—
341C22×C17C23×D411yescharacteristic
342C2×D17—22no—
343C2×D17—28no—
344C2×D17—22no—
345C2×D17C2×#13514yes—
346C4×C17—22no—
347C4×C17—22no—
348C4×C17—42no—
349C4×C17—42no—
350C4×C17—42no—
351C4×C17#53612yes—
352C4×C17C2×2−1+411yescharacteristic
353C4×C17C2×2−1+411yescharacteristic
354Dic17—22no—
355Dic17—22no—
356Dic17—22no—
357Dic17—42no—
358Dic17—42no—
359Dic17—42no—
360Dic17—42no—
361#529—178no—
362#529—344no—
363C2×#126—341no—
364C2×#125—178no—
365C2×#125—171no—
366C2×#125—171no—
367C2×#125—171no—
368C2×#125—171no—
369C2×#125—341no—
370C2×#125—341no—
371C2×#125—344no—
372C2×#125C2×D1711yescharacteristic
373C2×#124C2×D1711yescharacteristic
374C2×#123—341no—
375C2×C22⋊Q8—171no—
376C2×#121—171no—
377C2×C4×Q8—171no—
378C2×C4×D4—171no—
379C2×C4×D4—341no—
380C2×#117—341no—
381C22×C4⋊C4—171no—
382C22×C4⋊C4—171no—
383C22×C4⋊C4—341no—
384C22×C4⋊C4—341no—
385C22×C42—171no—
386#499—178no—
387#499—178no—
388#488—178no—
389#488C2×D1718yescomplemented
390#484—178no—
391#483—178no—
392#481—178no—
393#480—178no—
394#479—178no—
395#479—178no—
396#478—178no—
397#478—178no—
398#431—178no—
399C2×#107—171no—
400C2×#107—171no—
401C2×#107—171no—
402C2×#107—171no—
403C2×#106—171no—
404C2×#106—171no—
405C2×#106—171no—
406C2×#106—171no—
407C2×C4⋊C8—171no—
408C2×C4⋊C8—171no—
409C2×#103—171no—
410C2×#103—171no—
411C2×#103C2×D1711yescharacteristic
412C2×#103C2×D1711yescharacteristic
413C2×#102—171no—
414C2×#102—171no—
415C2×#102C2×D1711yescharacteristic
416C2×#102C2×D1711yescharacteristic
417C2×C22⋊C8—171no—
418C2×C22⋊C8—171no—
419C2×C4×C8—171no—
420C2×C4×C8C2×D1711yescharacteristic
421C2×C17—82no—
422C2×C17#323214yescomplemented
423C2×C17C2×#53611yescharacteristic
424C2×C17C22×#13511yescharacteristic
425C2×C17C2×#57511yescharacteristic
426D17—24no—
427C22×Q8C22×D1711yescharacteristic
428C22×D4—341no—
429C22×D4C22×D1711yescharacteristic
430C23×C4—171no—
431C23×C4—171no—
432C23×C4—171no—
433C23×C4—341no—
434C23×C4—341no—
435C23×C4—341no—
436C22×C8—171no—
437C22×C8—171no—
438C22×C8C22×D1711yescharacteristic
439C22×C8C22×D1711yescharacteristic
440#126—348no—
441#125—22no—
442#125—174no—
443#125—174no—
444#125—174no—
445#125—174no—
446#125—348no—
447#125—348no—
448#125—342no—
449#125—342no—
450#125—342no—
451#125—342no—
452#125C22×D1714yes—
453#124—22no—
454#124C22×D1714yes—
455#123—348no—
456C22⋊Q8—174no—
457C22⋊Q8—342no—
458#121—174no—
459#121—342no—
460C4×Q8—174no—
461C4×Q8—342no—
462C4×D4—174no—
463C4×D4—342no—
464C4×D4—348no—
465#117—348no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—171no—
469C2×C4⋊C4—171no—
470C2×C4⋊C4—171no—
471C2×C4⋊C4—171no—
472C2×C4⋊C4—174no—
473C2×C4⋊C4—174no—
474C2×C4⋊C4—342no—
475C2×C4⋊C4—342no—
476C2×C4⋊C4—348no—
477C2×C4⋊C4—348no—
478C2×C4⋊C4—341no—
479C2×C4⋊C4—341no—
480C2×C4⋊C4—341no—
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⋊C4C22×D1711yescharacteristic
491C2×C4⋊C4C22×D1711yescharacteristic
492C2×C22⋊C4—21no—
493C2×C22⋊C4—21no—
494C2×C22⋊C4—341no—
495C2×C22⋊C4—341no—
496C2×C22⋊C4—341no—
497C2×C42—171no—
498C2×C42—171no—
499C2×C42—171no—
500C2×C42—174no—
501C2×C42—174no—
502C2×C42—341no—
503C2×C42C22×D1711yescharacteristic
504#107—174no—
505#107—174no—
506#107—174no—
507#107—174no—
508#106—174no—
509#106—174no—
510#106—174no—
511#106—174no—
512C4⋊C8—174no—
513C4⋊C8—174no—
514#103—174no—
515#103—174no—
516#103C22×D1714yes—
517#103C22×D1714yes—
518#102—174no—
519#102—174no—
520#102C22×D1714yes—
521#102C22×D1714yes—
522C22⋊C8—174no—
523C22⋊C8—174no—
524C4×C8—174no—
525C4×C8C22×D1714yes—
526C17C2×#323211yescharacteristic, complemented, Sylow
527C24—21no—
528C24—171no—
529C2×Q8—21no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8C23×D1712yes—
533C2×D4—21no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—344no—
537C2×D4—684no—
538C2×D4C23×D1712yes—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—171no—
543C22×C4—171no—
544C22×C4—171no—
545C22×C4—172no—
546C22×C4—174no—
547C22×C4—172no—
548C22×C4—174no—
549C22×C4—344no—
550C22×C4—344no—
551C22×C4—344no—
552C22×C4—344no—
553C22×C4—342no—
554C22×C4—342no—
555C22×C4—341no—
556C22×C4—341no—
557C22×C4—341no—
558C22×C4—341no—
559C22×C4—682no—
560C22×C4—684no—
561C22×C4—684no—
562C22×C4—684no—
563C22×C4D4×D1711yescharacteristic
564C22×C4D4×D1711yescharacteristic
565C22×C4C23×D1711yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—172no—
569C2×C8—172no—
570C2×C8—342no—
571C2×C8—342no—
572C2×C8C23×D1712yes—
573C2×C8C23×D1712yes—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—172no—
579C4⋊C4—172no—
580C4⋊C4—172no—
581C4⋊C4—172no—
582C4⋊C4—344no—
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—341no—
594C4⋊C4—344no—
595C4⋊C4—344no—
596C4⋊C4—344no—
597C4⋊C4—344no—
598C4⋊C4C23×D1712yes—
599C4⋊C4C23×D1712yes—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—344no—
603C22⋊C4—344no—
604C22⋊C4—344no—
605C42—174no—
606C42—172no—
607C42—174no—
608C42—172no—
609C42—344no—
610C42D4×D1712yes—
611C42C23×D1712yes—
612C23—22no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—174no—
617C23—172no—
618C23—342no—
619C23—342no—
620C23C2×D4×D1711yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—42no—
624D4—22no—
625D4—22no—
626D4—42no—
627D4—688no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—172no—
637C2×C4—172no—
638C2×C4—172no—
639C2×C4—348no—
640C2×C4—342no—
641C2×C4—342no—
642C2×C4—342no—
643C2×C4—344no—
644C2×C4—342no—
645C2×C4—342no—
646C2×C4—342no—
647C2×C4—342no—
648C2×C4—342no—
649C2×C4—342no—
650C2×C4—684no—
651C2×C4—688no—
652C2×C4—688no—
653C2×C4—688no—
654C2×C4—682no—
655C2×C4—682no—
656C2×C4—682no—
657C2×C4—682no—
658C2×C4C2×D4×D1712yes—
659C2×C4C2×D4×D1712yes—
660C2×C4C2×D4×D1711yescharacteristic
661C2×C4#1058769712yes—
662C2×C4#1058769712yes—
663C2×C4C24×D1711yescharacteristic
664C8—22no—
665C8—22no—
666C8—342no—
667C8—342no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—84no—
672C22—174no—
673C22—342no—
674C22—342no—
675C22—348no—
676C22#1176337912yes—
677C22#135×D1712yes—
678C22#1176360612yes—
679C22C22×D4×D1711yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—342no—
686C4—342no—
687C4—342no—
688C4—682no—
689C4—682no—
690C4—682no—
691C4—682no—
692C4#1176337912yes—
693C4C2×#1058769711yescharacteristic
694C4C2×#1058769711yescharacteristic
695C2—82no—
696C2—344no—
697C2#1453994714yesdirect product factor
698C2C2×#1176337911yescharacteristic
699C2C2×#135×D1711yescharacteristic
700C2C2×#1176360611yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#488C2
socleC23×C17C22×D4
prime radicalC2×#10587624C22
hypercenterC2×#488D17
hypocenterC17C2×#3232
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#488

Complements

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

NH ≅ G/Ntype
2. C2×#125×D17C2semidirect
3. #14539947C2direct (N × H)
4. C2×#11763211C2semidirect
5. C2×#11763208C2semidirect
6. C2×#11763163C2semidirect
7. C2×#11763143C2semidirect
9. C2×#11763138C2semidirect
11. C2×#11763118C2semidirect
12. C2×#11763114C2semidirect
13. C2×#11763111C2semidirect
14. C2×#11763107C2semidirect
15. C2×#11762860C2semidirect
16. C2×C17×#488C2semidirect
27. #125×D17C22semidirect
40. #11763211C22semidirect
41. #11763208C22semidirect
42. #11763163C22semidirect
43. #11763143C22semidirect
44. #11763138C22semidirect
47. #11763118C22semidirect
48. #11763114C22semidirect
49. #11763111C22semidirect
50. #11763107C22semidirect
51. #11762860C22semidirect
71. C17×#488C22semidirect
324. C2×#488D17semidirect
389. #488C2×D17semidirect
422. C2×C17#3232semidirect
526. C17C2×#3232semidirect
697. C2#14539947direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117633382
C2×#125×D172
#145399472
C2×#117632112
C2×#117632082
C2×#117631632
C2×#117631432
C2×#117631262
C2×#117631382
C2×#117631212
C2×#117631182
C2×#117631142
C2×#117631112
C2×#117631072
C2×#117628602
C2×C17×#4882
C2×#323217