Finite Group Databasebeta

← C2×#14541355 #17913014

Subgroups — C2×#14541355 #17913014

Order 4352.

1834 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763498C211yesmaximal, characteristic
2C2×#11763494C211yesmaximal, characteristic
3#14541355C2116yesmaximal, direct product factor
4C2×#11763209C211yesmaximal, characteristic, complemented
5C2×#11763146C211yesmaximal, characteristic, complemented
6C2×#11763144C211yesmaximal, characteristic, complemented
7C2×#11763153C211yesmaximal, characteristic, complemented
8C2×#11763150C211yesmaximal, characteristic, complemented
9C2×#11763119C211yesmaximal, characteristic, complemented
10C2×#11763115C211yesmaximal, characteristic, complemented
11C2×#11763068C211yesmaximal, characteristic, complemented
12C2×#11763067C211yesmaximal, characteristic, complemented
13C2×#11762903C211yesmaximal, characteristic, complemented
14C2×#11762885C211yesmaximal, characteristic
15C2×#11762850C211yesmaximal, characteristic, complemented
16C2×C17×#428C211yesmaximal, characteristic, complemented
17C22×Dic68C2211yescharacteristic
18C22×#63218C2211yescharacteristic
19#11763498—24no—
20#11763498C2218yes—
21#11763494—24no—
22#11763494C2218yes—
23C2×#10587584—21no—
24C2×#10587565—21no—
25C2×#10587556—21no—
26C2×#10587576C2211yescharacteristic
27C2×#10587576C2211yescharacteristic
28C2×#10587575—21no—
29C2×#10587615—21no—
30C2×#10587569—21no—
31C2×#10587583C2211yescharacteristic
32C2×#10587583C2211yescharacteristic
33C2×#10587610C2211yescharacteristic
34C2×#10587610C2211yescharacteristic
35C2×#10587573C2211yescharacteristic
36C2×#10587573C2211yescharacteristic
37C2×C4×C22⋊D17C2211yescharacteristic
38C2×#10587612—21no—
39C2×#10587578C2211yescharacteristic
40C2×#10587558—21no—
41C2×C4⋊C4×D17C2211yescharacteristic
42#11763209C2218yescomplemented
43#11763153C2218yescomplemented
44#11763150C2218yescomplemented
45#11763146C2218yescomplemented
46#11763144C2218yescomplemented
47#11763119C2218yescomplemented
48#11763115C2218yescomplemented
49#11763068C2218yescomplemented
50#11763067C2218yescomplemented
51#11762903C2218yescomplemented
52#11762885C2218yes—
53#11762850C2218yescomplemented
54C2×#10587478C2211yescharacteristic
55C2×#10587478C2211yescharacteristic
56C2×#10587478C2211yescharacteristic
57C2×#10587488C2211yescharacteristic
58C2×#10587479C2211yescharacteristic
59C2×#10587485C2211yescharacteristic
60C2×#10587487C2211yescharacteristic
61C2×#10587487C2211yescharacteristic
62C2×#10587481C2211yescharacteristic
63C2×#10587481C2211yescharacteristic
64C2×#10587481C2211yescharacteristic
65C2×#10587481C2211yescharacteristic
66C2×C22⋊#3622C2211yescharacteristic
67C2×#10587491C2211yescharacteristic
68C2×C8×Dic17C2211yescharacteristic
69C22×M16×C17C2211yescharacteristic
70C2×C17×#117C2211yescharacteristic
71C22×C4⋊C4×C17C2211yescharacteristic
72C17×#428C2218yescomplemented
73C2×C17×#107C2211yescharacteristic
74C2×C17×#107C2211yescharacteristic
75C2×C17×#106C2211yescharacteristic
76C2×C17×#106C2211yescharacteristic
77C23×C4×C17—21no—
78C23×C4×C17C2311yescharacteristic
79C22×C22⋊D17D411yescharacteristic
80C22×C4×D17—21no—
81C22×C4×D17C2311yescharacteristic
82C22×Dic34C2311yescharacteristic
83C22×Dic34C2311yescharacteristic
84C2×M16×C17—24no—
85C2×M16×C17C2314yes—
86C22×C8×C17C2311yescharacteristic
87C22×C8×C17C2311yescharacteristic
88C17×#117—22no—
89C17×#117C2314yes—
90C2×C4⋊C4×C17—22no—
91C2×C4⋊C4×C17—21no—
92C2×C4⋊C4×C17C2314yes—
93C2×C4⋊C4×C17C2311yescharacteristic
94C2×C4⋊C4×C17C2311yescharacteristic
95C2×C4⋊C4×C17C2311yescharacteristic
96C2×C4⋊C4×C17C2311yescharacteristic
97C2×C22⋊C4×C17—21no—
98C2×C42×C17—21no—
99C2×C22⋊Dic17—21no—
100C2×C22⋊Dic17—21no—
101C2×C22⋊Dic17D411yescharacteristic
102#10587615—28no—
103C4×C22⋊D17D414yes—
104C4×C22⋊D17C2314yes—
105C2×#63227—21no—
106C2×#63227—21no—
107C2×#63227—21no—
108C2×#63227D411yescharacteristic
109#10587612—28no—
110C2×C4⋊Dic17—21no—
111C2×C4⋊Dic17—21no—
112C2×C4⋊Dic17—21no—
113C2×C4⋊Dic17—21no—
114C2×C4⋊Dic17C2311yescharacteristic
115C2×C4⋊Dic17C2311yescharacteristic
116#10587610—22no—
117#10587610—22no—
118#10587610C2314yes—
119#10587610C2314yes—
120C2×#63225—21no—
121C2×#63225—21no—
122C2×#63225—21no—
123C2×#63225—21no—
124C2×#63225—21no—
125C2×#63225—21no—
126C2×#63225—21no—
127C2×#63225D411yescharacteristic
128C2×C4×Dic17—21no—
129C2×C4×Dic17—21no—
130C2×C4×Dic17—21no—
131C2×C4×Dic17C2311yescharacteristic
132C22×#3622C2311yescharacteristic
133C22×#3622C2311yescharacteristic
134C2×Dic68—24no—
135C2×Dic68C2314yes—
136C2×#63218—24no—
137C2×#63218C2314yes—
138#10587584—28no—
139#10587583—22no—
140#10587583—22no—
141#10587583C2314yes—
142#10587583C2314yes—
143#10587578—22no—
144#10587578C2314yes—
145C4⋊C4×D17—22no—
146C4⋊C4×D17C2314yes—
147#10587576—22no—
148#10587576—22no—
149#10587576C2314yes—
150#10587576C2314yes—
151#10587575—28no—
152#10587573—22no—
153#10587573—22no—
154#10587573C2314yes—
155#10587573C2314yes—
156#10587569—28no—
157#10587565—28no—
158#10587558—28no—
159#10587556—28no—
160C17×#107C2314yes—
161C17×#107C2314yes—
162C17×#106C2314yes—
163C17×#106C2314yes—
164C22⋊#3622C2314yes—
165#10587491C2314yes—
166#10587488C2314yes—
167#10587487C2314yes—
168#10587487C2314yes—
169#10587485C2314yes—
170C8×Dic17C2314yes—
171#10587481C2314yes—
172#10587481C2314yes—
173#10587481C2314yes—
174#10587481C2314yes—
175#10587479C2314yes—
176#10587478C2314yes—
177#10587478C2314yes—
178#10587478C2314yes—
179C24×C17C2×D411yescharacteristic
180C23×D17C2×D411yescharacteristic
181C22×C4×C17—22no—
182C22×C4×C17—22no—
183C22×C4×C17—21no—
184C22×C4×C17—21no—
185C22×C4×C17—21no—
186C22×C4×C17—24no—
187C22×C4×C17—21no—
188C22×C4×C17—44no—
189C22×C4×C17C2×D411yescharacteristic
190C22×C4×C17C2×D412yes—
191C22×C4×C17C2412yes—
192C22×C4×C17C2411yescharacteristic
193C2×C22⋊D17—42no—
194C2×C22⋊D17C2×D414yes—
195C22×Dic17—21no—
196C22×Dic17—21no—
197C22×Dic17—21no—
198C22×Dic17—21no—
199C22×Dic17C2×D411yescharacteristic
200C22×Dic17C2×D411yescharacteristic
201C22×Dic17C2×D411yescharacteristic
202C2×C4×D17—22no—
203C2×C4×D17—22no—
204C2×C4×D17—24no—
205C2×C4×D17—44no—
206C2×C4×D17C2×D412yes—
207C2×C4×D17C2412yes—
208C2×Dic34—22no—
209C2×Dic34—22no—
210C2×Dic34—22no—
211C2×Dic34—22no—
212C2×Dic34—21no—
213C2×Dic34—21no—
214C2×Dic34C2412yes—
215C2×Dic34C2412yes—
216M16×C17—28no—
217C2×C8×C17—22no—
218C2×C8×C17#4114yes—
219C2×C8×C17C2412yes—
220C2×C8×C17C2412yes—
221C4⋊C4×C17—21no—
222C4⋊C4×C17—21no—
223C4⋊C4×C17—24no—
224C4⋊C4×C17—21no—
225C4⋊C4×C17—21no—
226C4⋊C4×C17C2412yes—
227C4⋊C4×C17C2412yes—
228C4⋊C4×C17C2412yes—
229C4⋊C4×C17C2412yes—
230C22⋊C4×C17—24no—
231C42×C17—24no—
232C22⋊Dic17—24no—
233C22⋊Dic17—24no—
234C22⋊Dic17C2×D414yes—
235#63227—24no—
236#63227—24no—
237#63227—24no—
238#63227C2×D414yes—
239C4⋊Dic17—21no—
240C4⋊Dic17—21no—
241C4⋊Dic17—24no—
242C4⋊Dic17—24no—
243C4⋊Dic17—24no—
244C4⋊Dic17—24no—
245C4⋊Dic17C2412yes—
246C4⋊Dic17C2412yes—
247#63225—24no—
248#63225—24no—
249#63225—24no—
250#63225—24no—
251#63225—24no—
252#63225—24no—
253#63225—24no—
254#63225C2×D414yes—
255C4×Dic17—24no—
256C4×Dic17—24no—
257C4×Dic17—24no—
258C4×Dic17C2×D412yes—
259C4×Dic17C2412yes—
260C2×#3622—22no—
261C2×#3622—22no—
262C2×#3622C2412yes—
263C2×#3622C2412yes—
264Dic68—28no—
265#63218—28no—
266C2×#3352—171nomaximal, Sylow
267C23×C17—22no—
268C23×C17—22no—
269C23×C17—22no—
270C23×C17C22×D412yes—
271C23×C17C22×D411yescharacteristic
272C22×D17—22no—
273C22×D17—22no—
274C22×D17—22no—
275C22×D17C22×D412yes—
276C2×C4×C17—22no—
277C2×C4×C17—24no—
278C2×C4×C17—22no—
279C2×C4×C17—22no—
280C2×C4×C17—22no—
281C2×C4×C17—22no—
282C2×C4×C17—22no—
283C2×C4×C17—22no—
284C2×C4×C17—48no—
285C2×C4×C17—42no—
286C2×C4×C17—42no—
287C2×C4×C17—42no—
288C2×C4×C17—42no—
289C2×C4×C17C22×D412yes—
290C2×C4×C17C22×D411yescharacteristic
291C2×C4×C17C2×#4112yes—
292C2×C4×C172−1+412yes—
293C2×C4×C17C2511yescharacteristic
294C22⋊D17—44no—
295C2×Dic17—22no—
296C2×Dic17—22no—
297C2×Dic17—22no—
298C2×Dic17—22no—
299C2×Dic17—22no—
300C2×Dic17—22no—
301C2×Dic17—22no—
302C2×Dic17—42no—
303C2×Dic17—42no—
304C2×Dic17—42no—
305C2×Dic17—42no—
306C2×Dic17C22×D412yes—
307C2×Dic17C22×D412yes—
308C2×Dic17C22×D412yes—
309C4×D17—24no—
310C4×D17—22no—
311C4×D17—22no—
312C4×D17—48no—
313Dic34—22no—
314Dic34—22no—
315Dic34—22no—
316Dic34—22no—
317Dic34—42no—
318Dic34—42no—
319C8×C17—22no—
320C8×C17C2×#4114yes—
321#3622—22no—
322#3622—22no—
323C2×#552—171no—
324C2×#552—171no—
325#3352—1716no—
326C2×#499—171no—
327C2×#484—171no—
328C2×#484—171no—
329C2×#485—171no—
330C2×#485—171no—
331C2×#479—171no—
332C2×#479—171no—
333C2×#470—171no—
334C2×#470—171no—
335C2×C4×Q16—171no—
336C2×#436—171no—
337C2×#428—171no—
338C2×#428D1711yescharacteristic, complemented
339C22×C17—22no—
340C22×C17—22no—
341C22×C17—22no—
342C22×C17—44no—
343C22×C17#54712yes—
344C22×C17#57512yes—
345C22×C17#57812yes—
346C22×C17C23×D411yescharacteristic
347C2×D17—22no—
348C2×D17—22no—
349C2×D17—22no—
350C2×D17—44no—
351C4×C17—22no—
352C4×C17—42no—
353C4×C17—42no—
354C4×C17—42no—
355C4×C17—42no—
356C4×C17#54712yes—
357C4×C17C22×#4111yescharacteristic
358C4×C17C2×2−1+411yescharacteristic
359Dic17—22no—
360Dic17—22no—
361Dic17—22no—
362Dic17—42no—
363Dic17—42no—
364Dic17—42no—
365Dic17—42no—
366C22×Q16—171no—
367C22×M16—171no—
368C22×M16C2×D1711yescharacteristic
369#552—178no—
370#552—178no—
371#552—344no—
372#552—344no—
373C2×#126—341no—
374C2×#126—341no—
375C2×#125—171no—
376C2×#125—171no—
377C2×#125—341no—
378C2×#125—341no—
379C2×#123—341no—
380C2×#123—341no—
381C2×C22⋊Q8—171no—
382C2×C22⋊Q8—171no—
383C2×C22⋊Q8—171no—
384C2×C22⋊Q8—171no—
385C2×C4×Q8—171no—
386C2×C4×Q8—171no—
387C2×C4×D4—171no—
388C2×#117—171no—
389C2×#117—341no—
390C2×#117—341no—
391C2×#117C2×D1711yescharacteristic
392C22×C4⋊C4—171no—
393C22×C4⋊C4C2×D1711yescharacteristic
394#499—178no—
395#485—178no—
396#485—178no—
397#484—178no—
398#484—178no—
399#479—178no—
400#479—178no—
401#470—178no—
402#470—178no—
403C4×Q16—178no—
404#436—178no—
405#428—178no—
406#428C2×D1718yescomplemented
407C2×#107—171no—
408C2×#107—171no—
409C2×#107—171no—
410C2×#107C2×D1711yescharacteristic
411C2×#107C2×D1711yescharacteristic
412C2×#106—171no—
413C2×#106—171no—
414C2×#106C2×D1711yescharacteristic
415C2×#106C2×D1711yescharacteristic
416C2×C4⋊C8—171no—
417C2×#103—171no—
418C2×#103—171no—
419C2×#103—171no—
420C2×#103—171no—
421C2×#103—171no—
422C2×#103—171no—
423C2×C22⋊C8—171no—
424C2×C22⋊C8—171no—
425C2×C4×C8—171no—
426C2×C17—42no—
427C2×C17#335214yescomplemented
428C2×C17C2×#54711yescharacteristic
429C2×C17C2×#57511yescharacteristic
430C2×C17C2×#57811yescharacteristic
431D17—42no—
432C22×Q8—171no—
433C22×Q8—171no—
434C22×D4—171no—
435C23×C4—21no—
436C23×C4—171no—
437C23×C4—341no—
438C23×C4C22×D1711yescharacteristic
439C2×Q16—174no—
440C2×Q16—344no—
441C2×M16—24no—
442C2×M16—174no—
443C2×M16—344no—
444C2×M16C22×D1714yes—
445C22×C8—171no—
446C22×C8—171no—
447C22×C8C22×D1711yescharacteristic
448C22×C8C22×D1711yescharacteristic
449#126—348no—
450#126—348no—
451#125—174no—
452#125—174no—
453#125—348no—
454#125—342no—
455#125—342no—
456#125—348no—
457#123—348no—
458#123—348no—
459C22⋊Q8—174no—
460C22⋊Q8—174no—
461C22⋊Q8—174no—
462C22⋊Q8—174no—
463C22⋊Q8—342no—
464C22⋊Q8—342no—
465C22⋊Q8—342no—
466C22⋊Q8—342no—
467C4×Q8—174no—
468C4×Q8—174no—
469C4×Q8—342no—
470C4×Q8—342no—
471C4×D4—174no—
472C4×D4—174no—
473#117—22no—
474#117—174no—
475#117—348no—
476#117—348no—
477#117—342no—
478#117C22×D1714yes—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—22no—
481C2×C4⋊C4—171no—
482C2×C4⋊C4—171no—
483C2×C4⋊C4—171no—
484C2×C4⋊C4—174no—
485C2×C4⋊C4—342no—
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⋊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×C4⋊C4C22×D1714yes—
501C2×C4⋊C4C22×D1711yescharacteristic
502C2×C22⋊C4—21no—
503C2×C22⋊C4—171no—
504C2×C22⋊C4—171no—
505C2×C22⋊C4—341no—
506C2×C22⋊C4—341no—
507C2×C22⋊C4—341no—
508C2×C22⋊C4—341no—
509C2×C22⋊C4—341no—
510C2×C42—21no—
511C2×C42—171no—
512C2×C42—341no—
513C2×C42—341no—
514C2×C42—341no—
515#107—174no—
516#107—174no—
517#107—174no—
518#107C22×D1714yes—
519#107C22×D1714yes—
520#106—174no—
521#106—174no—
522#106C22×D1714yes—
523#106C22×D1714yes—
524C4⋊C8—174no—
525#103—174no—
526#103—174no—
527#103—174no—
528#103—174no—
529#103—174no—
530#103—174no—
531C22⋊C8—174no—
532C22⋊C8—174no—
533C4×C8—174no—
534C17C2×#335211yescharacteristic, complemented, Sylow
535C24—171no—
536C24D4×D1711yescharacteristic
537C2×Q8—172no—
538C2×Q8—172no—
539C2×Q8—341no—
540C2×Q8—341no—
541C2×Q8—342no—
542C2×Q8—342no—
543C2×Q8—342no—
544C2×Q8—342no—
545C2×D4—174no—
546C2×D4—682no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—24no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—44no—
555C22×C4—171no—
556C22×C4—171no—
557C22×C4—171no—
558C22×C4—172no—
559C22×C4—172no—
560C22×C4—344no—
561C22×C4—342no—
562C22×C4—342no—
563C22×C4—341no—
564C22×C4—341no—
565C22×C4—341no—
566C22×C4—341no—
567C22×C4—684no—
568C22×C4D4×D1712yes—
569C22×C4D4×D1711yescharacteristic
570C22×C4C23×D1712yes—
571C22×C4C23×D1711yescharacteristic
572Q16—348no—
573M16—28no—
574M16—348no—
575C2×C8—22no—
576C2×C8—172no—
577C2×C8—172no—
578C2×C8—342no—
579C2×C8—342no—
580C2×C8#6325214yes—
581C2×C8C23×D1712yes—
582C2×C8C23×D1712yes—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—24no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—174no—
589C4⋊C4—172no—
590C4⋊C4—172no—
591C4⋊C4—344no—
592C4⋊C4—344no—
593C4⋊C4—344no—
594C4⋊C4—344no—
595C4⋊C4—344no—
596C4⋊C4—344no—
597C4⋊C4—344no—
598C4⋊C4—344no—
599C4⋊C4—344no—
600C4⋊C4—341no—
601C4⋊C4—341no—
602C4⋊C4—344no—
603C4⋊C4—344no—
604C4⋊C4C23×D1712yes—
605C4⋊C4C23×D1712yes—
606C4⋊C4C23×D1712yes—
607C4⋊C4C23×D1712yes—
608C22⋊C4—24no—
609C22⋊C4—174no—
610C22⋊C4—174no—
611C22⋊C4—344no—
612C22⋊C4—344no—
613C22⋊C4—344no—
614C22⋊C4—344no—
615C22⋊C4—344no—
616C42—24no—
617C42—172no—
618C42—172no—
619C42—344no—
620C42—344no—
621C42—344no—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—172no—
626C23—342no—
627C23—342no—
628C23—342no—
629C23C2×D4×D1712yes—
630C23C2×D4×D1711yescharacteristic
631Q8—342no—
632Q8—342no—
633Q8—342no—
634Q8—342no—
635Q8—682no—
636Q8—682no—
637D4—684no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—48no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—172no—
652C2×C4—172no—
653C2×C4—172no—
654C2×C4—342no—
655C2×C4—342no—
656C2×C4—342no—
657C2×C4—344no—
658C2×C4—342no—
659C2×C4—342no—
660C2×C4—342no—
661C2×C4—342no—
662C2×C4—342no—
663C2×C4—342no—
664C2×C4—688no—
665C2×C4—682no—
666C2×C4—682no—
667C2×C4—682no—
668C2×C4—682no—
669C2×C4C2×#6325212yes—
670C2×C4C2×D4×D1712yes—
671C2×C4C2×D4×D1711yescharacteristic
672C2×C4#1058769412yes—
673C2×C4C24×D1711yescharacteristic
674C8—22no—
675C8—342no—
676C8—342no—
677C8C2×#6325214yes—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—44no—
682C22—342no—
683C22—342no—
684C22—342no—
685C22—684no—
686C22#1176346012yes—
687C22#1176360512yes—
688C22#1176362512yes—
689C22C22×D4×D1711yescharacteristic
690C4—22no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—342no—
696C4—342no—
697C4—342no—
698C4—682no—
699C4—682no—
700C4—682no—
701C4—682no—
702C4#1176346012yes—
703C4C22×#6325211yescharacteristic
704C4C2×#1058769411yescharacteristic
705C2—42no—
706C2—682no—
707C2#1454135514yesdirect product factor
708C2C2×#1176346011yescharacteristic
709C2C2×#1176360511yescharacteristic
710C2C2×#1176362511yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#428C2
socleC23×C17C22×D4
prime radicalC22×C22⋊D17D4
hypercenterC2×#428D17
hypocenterC17C2×#3352
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
3. #14541355C2direct (N × H)
4. C2×#11763209C2semidirect
5. C2×#11763146C2semidirect
6. C2×#11763144C2semidirect
7. C2×#11763153C2semidirect
8. C2×#11763150C2semidirect
9. C2×#11763119C2semidirect
10. C2×#11763115C2semidirect
11. C2×#11763068C2semidirect
12. C2×#11763067C2semidirect
13. C2×#11762903C2semidirect
15. C2×#11762850C2semidirect
16. C2×C17×#428C2semidirect
42. #11763209C22semidirect
43. #11763153C22semidirect
44. #11763150C22semidirect
45. #11763146C22semidirect
46. #11763144C22semidirect
47. #11763119C22semidirect
48. #11763115C22semidirect
49. #11763068C22semidirect
50. #11763067C22semidirect
51. #11762903C22semidirect
53. #11762850C22semidirect
72. C17×#428C22semidirect
338. C2×#428D17semidirect
406. #428C2×D17semidirect
427. C2×C17#3352semidirect
534. C17C2×#3352semidirect
707. C2#14541355direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117634982
C2×#117634942
#145413552
C2×#117632092
C2×#117631462
C2×#117631442
C2×#117631532
C2×#117631502
C2×#117631192
C2×#117631152
C2×#117630682
C2×#117630672
C2×#117629032
C2×#117628852
C2×#117628502
C2×C17×#4282
C2×#335217