Finite Group Databasebeta

← C2×#14541554 #17914107

Subgroups — C2×#14541554 #17914107

Order 4352.

1874 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763544C211yesmaximal, characteristic
2C2×#11763537C211yesmaximal, characteristic, complemented
3#14541554C2116yesmaximal, direct product factor
4C2×#11763174C211yesmaximal, characteristic
5C2×#11763169C211yesmaximal, characteristic, complemented
6C2×#11763164C211yesmaximal, characteristic, complemented
7C2×#11763117C211yesmaximal, characteristic, complemented
8C2×#11763110C211yesmaximal, characteristic, complemented
9C2×#11763100C211yesmaximal, characteristic, complemented
10C2×#11763032C211yesmaximal, characteristic, complemented
11C2×#11763032C211yesmaximal, characteristic, complemented
12C2×#11763010C211yesmaximal, characteristic
13C2×#11762917C211yesmaximal, characteristic, complemented
14C2×#11762911C211yesmaximal, characteristic, complemented
15C2×C4×#63219C211yesmaximal, characteristic, complemented
16C2×C17×#446C211yesmaximal, characteristic, complemented
17C22×Dic68C2211yescharacteristic
18C22×#63219C2211yescharacteristic
19C22×#63219C2211yescharacteristic
20#11763544—24no—
21#11763544C2218yes—
22#11763537—24no—
23#11763537C2218yescomplemented
24C2×#10587555C2211yescharacteristic
25C2×#10587630—21no—
26C2×#10587560C2211yescharacteristic
27C2×#10587556C2211yescharacteristic
28C2×#10587556C2211yescharacteristic
29C2×#10587575—21no—
30C2×#10587575—21no—
31C2×#10587633—21no—
32C2×#10587561C2211yescharacteristic
33C2×#10587561C2211yescharacteristic
34C2×#10587580—21no—
35C2×#10587580—21no—
36C2×C4×Dic34C2211yescharacteristic
37C2×C4×Dic34C2211yescharacteristic
38C2×C4×Dic34C2211yescharacteristic
39C2×C4×Dic34C2211yescharacteristic
40C2×#10587573—21no—
41C2×C4×D68C2211yescharacteristic
42C2×C4×D68C2211yescharacteristic
43C2×#10587579—21no—
44#11763174C2218yes—
45#11763169C2218yescomplemented
46#11763164C2218yescomplemented
47#11763117C2218yescomplemented
48#11763110C2218yescomplemented
49#11763100C2218yescomplemented
50#11763032C2218yescomplemented
51#11763032C2218yescomplemented
52#11763010C2218yes—
53#11762917C2218yescomplemented
54#11762911C2218yescomplemented
55C4×#63219C2218yescomplemented
56C2×#10587489C2211yescharacteristic
57C2×#10587488C2211yescharacteristic
58C2×#10587488C2211yescharacteristic
59C2×#10587487C2211yescharacteristic
60C2×#10587487C2211yescharacteristic
61C2×#10587487C2211yescharacteristic
62C2×#10587487C2211yescharacteristic
63C2×#10587492C2211yescharacteristic
64C2×#10587492C2211yescharacteristic
65C2×#10587492C2211yescharacteristic
66C2×#10587492C2211yescharacteristic
67C2×#10587492C2211yescharacteristic
68C2×#10587492C2211yescharacteristic
69C2×C4×Q8×C17C2211yescharacteristic
70C17×#446C2218yescomplemented
71C2×C17×C4⋊C8C2211yescharacteristic
72C2×C17×C4⋊C8C2211yescharacteristic
73C2×C17×C4⋊C8C2211yescharacteristic
74C2×C17×#97C2211yescharacteristic
75C2×C17×#97C2211yescharacteristic
76C2×C4×C8×C17C2211yescharacteristic
77C22×Q8×C17D411yescharacteristic
78C22×D68—21no—
79C22×D68—21no—
80C22×D68C2311yescharacteristic
81C22×D68C2311yescharacteristic
82C22×C4×D17—21no—
83C22×C4×D17—21no—
84C22×Dic34—21no—
85C22×Dic34C2311yescharacteristic
86C22×Dic34C2311yescharacteristic
87C22×C8×C17C2311yescharacteristic
88C22×C8×C17C2311yescharacteristic
89C22×C8×C17C2311yescharacteristic
90C22×C8×C17C2311yescharacteristic
91C4×Q8×C17D414yes—
92C4×Q8×C17C2314yes—
93C2×C4⋊C4×C17D411yescharacteristic
94C2×C4⋊C4×C17D411yescharacteristic
95C2×C4⋊C4×C17D411yescharacteristic
96C2×C42×C17C2311yescharacteristic
97C2×C42×C17C2311yescharacteristic
98C2×C42×C17C2311yescharacteristic
99#10587633—28no—
100#10587630—28no—
101C2×#63227—21no—
102C2×#63227—21no—
103C2×#63227—21no—
104C2×#63227—21no—
105C2×#63227—21no—
106C2×#63227—21no—
107C2×C4⋊Dic17—21no—
108C2×C4⋊Dic17C2311yescharacteristic
109C2×C4⋊Dic17C2311yescharacteristic
110C2×C4⋊Dic17C2311yescharacteristic
111C2×C4⋊Dic17C2311yescharacteristic
112C2×#63225—21no—
113C2×#63225—21no—
114C2×#63225—21no—
115C2×#63225—21no—
116C2×#63225—21no—
117C2×#63225—21no—
118C2×#63225—21no—
119C2×#63225—21no—
120C2×C4×Dic17—21no—
121C2×C4×Dic17—21no—
122C2×C4×Dic17—21no—
123C2×C4×Dic17—21no—
124C2×Dic68—24no—
125C2×Dic68C2314yes—
126C2×#63219—24no—
127C2×#63219—24no—
128C2×#63219C2314yes—
129C2×#63219C2314yes—
130#10587580—28no—
131#10587580—28no—
132#10587579—28no—
133#10587575—28no—
134#10587575—28no—
135#10587573—28no—
136#10587561—22no—
137#10587561—22no—
138#10587561C2314yes—
139#10587561C2314yes—
140#10587560—22no—
141#10587560C2314yes—
142C4×D68—22no—
143C4×D68—22no—
144C4×D68C2314yes—
145C4×D68C2314yes—
146#10587556—22no—
147#10587556—22no—
148#10587556C2314yes—
149#10587556C2314yes—
150#10587555—22no—
151#10587555C2314yes—
152C4×Dic34—22no—
153C4×Dic34—22no—
154C4×Dic34—22no—
155C4×Dic34—22no—
156C4×Dic34C2314yes—
157C4×Dic34C2314yes—
158C4×Dic34C2314yes—
159C4×Dic34C2314yes—
160C17×C4⋊C8C2314yes—
161C17×C4⋊C8C2314yes—
162C17×C4⋊C8C2314yes—
163C17×#97C2314yes—
164C17×#97C2314yes—
165C4×C8×C17C2314yes—
166#10587492C2314yes—
167#10587492C2314yes—
168#10587492C2314yes—
169#10587492C2314yes—
170#10587492C2314yes—
171#10587492C2314yes—
172#10587489C2314yes—
173#10587488C2314yes—
174#10587488C2314yes—
175#10587487C2314yes—
176#10587487C2314yes—
177#10587487C2314yes—
178#10587487C2314yes—
179C23×D17—21no—
180C23×D17—21no—
181C2×Q8×C17—42no—
182C2×Q8×C17C2×D414yes—
183C22×C4×C17C2×D411yescharacteristic
184C22×C4×C17C2×D411yescharacteristic
185C22×C4×C17C2×D411yescharacteristic
186C22×C4×C17C2×D411yescharacteristic
187C22×C4×C17C2×D411yescharacteristic
188C22×C4×C17C2×D411yescharacteristic
189C22×C4×C17C2411yescharacteristic
190C22×Dic17—21no—
191C22×Dic17—21no—
192C22×Dic17—21no—
193C22×Dic17—21no—
194C22×Dic17—21no—
195C22×Dic17—21no—
196C2×D68—22no—
197C2×D68—22no—
198C2×D68—22no—
199C2×D68—22no—
200C2×D68—24no—
201C2×D68—21no—
202C2×D68—21no—
203C2×D68—24no—
204C2×D68—44no—
205C2×D68—82no—
206C2×D68C2412yes—
207C2×D68C2412yes—
208C2×C4×D17—24no—
209C2×C4×D17—24no—
210C2×C4×D17—82no—
211C2×C4×D17—82no—
212C2×Dic34—21no—
213C2×Dic34—22no—
214C2×Dic34—22no—
215C2×Dic34—22no—
216C2×Dic34—24no—
217C2×Dic34—21no—
218C2×Dic34—44no—
219C2×Dic34#4114yes—
220C2×Dic34C2412yes—
221C2×Dic34C2412yes—
222C2×C8×C17—22no—
223C2×C8×C17—22no—
224C2×C8×C17—22no—
225C2×C8×C17—22no—
226C2×C8×C17C2412yes—
227C2×C8×C17C2412yes—
228C2×C8×C17C2412yes—
229C2×C8×C17C2412yes—
230C4⋊C4×C17C2×D414yes—
231C4⋊C4×C17C2×D414yes—
232C4⋊C4×C17C2×D414yes—
233C42×C17C2×D412yes—
234C42×C17C2×D412yes—
235C42×C17C2×D412yes—
236C42×C17C2412yes—
237C42×C17C2412yes—
238C42×C17C2412yes—
239#63227—24no—
240#63227—24no—
241#63227—24no—
242#63227—24no—
243#63227—24no—
244#63227—24no—
245C4⋊Dic17—21no—
246C4⋊Dic17—21no—
247C4⋊Dic17—21no—
248C4⋊Dic17—21no—
249C4⋊Dic17—24no—
250C4⋊Dic17C2412yes—
251C4⋊Dic17C2412yes—
252C4⋊Dic17C2412yes—
253C4⋊Dic17C2412yes—
254#63225—24no—
255#63225—24no—
256#63225—24no—
257#63225—24no—
258#63225—24no—
259#63225—24no—
260#63225—24no—
261#63225—24no—
262C4×Dic17—24no—
263C4×Dic17—24no—
264C4×Dic17—24no—
265C4×Dic17—24no—
266Dic68—28no—
267#63219—28no—
268#63219—28no—
269C2×#3371—171nomaximal, Sylow
270C23×C17C22×D411yescharacteristic
271C22×D17—22no—
272C22×D17—22no—
273C22×D17—42no—
274C22×D17—42no—
275C22×D17—42no—
276C22×D17—42no—
277C22×D17—42no—
278C22×D17—42no—
279Q8×C17—44no—
280C2×C4×C17—22no—
281C2×C4×C17—22no—
282C2×C4×C17—22no—
283C2×C4×C17—22no—
284C2×C4×C17—22no—
285C2×C4×C17—22no—
286C2×C4×C17C22×D412yes—
287C2×C4×C17C22×D412yes—
288C2×C4×C17C22×D412yes—
289C2×C4×C17C22×D412yes—
290C2×C4×C17C22×D412yes—
291C2×C4×C17C22×D412yes—
292C2×C4×C17C22×D411yescharacteristic
293C2×C4×C17C2×#4112yes—
294C2×C4×C172−1+412yes—
295C2×C4×C17C2511yescharacteristic
296C2×Dic17—24no—
297C2×Dic17—22no—
298C2×Dic17—22no—
299C2×Dic17—22no—
300C2×Dic17—22no—
301C2×Dic17—22no—
302C2×Dic17—22no—
303C2×Dic17—42no—
304C2×Dic17—42no—
305C2×Dic17—42no—
306C2×Dic17—42no—
307C2×Dic17—42no—
308D68—22no—
309D68—22no—
310D68—22no—
311D68—22no—
312D68—48no—
313D68—42no—
314D68—42no—
315D68—84no—
316C4×D17—84no—
317C4×D17—84no—
318Dic34—24no—
319Dic34—22no—
320Dic34—22no—
321Dic34—22no—
322Dic34—48no—
323Dic34—42no—
324Dic34C2×#4114yes—
325C8×C17—22no—
326C8×C17—22no—
327C8×C17—22no—
328C8×C17—22no—
329C2×#559—171no—
330C2×#557—171no—
331#3371—1716no—
332C2×#490—171no—
333C2×#489—171no—
334C2×#488—171no—
335C2×#479—171no—
336C2×#478—171no—
337C2×#476—171no—
338C2×#464—171no—
339C2×#464—171no—
340C2×#460—171no—
341C2×#446D1711yescharacteristic, complemented
342C2×#441—171no—
343C2×#440—171no—
344C2×C4×SD16—171no—
345C22×C17#54812yes—
346C22×C17#57512yes—
347C22×C17#57712yes—
348C22×C17C23×D411yescharacteristic
349C2×D17—42no—
350C2×D17—42no—
351C2×D17—42no—
352C2×D17—42no—
353C2×D17—42no—
354C2×D17—42no—
355C2×D17—84no—
356C2×D17—84no—
357C4×C17—22no—
358C4×C17—22no—
359C4×C17—22no—
360C4×C17—22no—
361C4×C17—22no—
362C4×C17—22no—
363C4×C17#54812yes—
364C4×C17C22×#4111yescharacteristic
365C4×C17C2×2−1+411yescharacteristic
366Dic17—24no—
367Dic17—42no—
368Dic17—42no—
369Dic17—42no—
370Dic17—42no—
371Dic17—42no—
372C22×Q16—171no—
373C22×SD16—171no—
374C22×SD16—171no—
375#559—178no—
376#559—344no—
377#557—178no—
378#557—344no—
379C2×C4⋊Q8—171no—
380C2×C4⋊Q8—341no—
381C2×#127—171no—
382C2×#125—171no—
383C2×#125—171no—
384C2×#125—341no—
385C2×#125—341no—
386C2×#124—171no—
387C2×#124—171no—
388C2×#124—341no—
389C2×#123—341no—
390C2×#123—341no—
391C2×C4×Q8—171no—
392C2×C4×Q8—171no—
393C2×C4×Q8—171no—
394C2×C4×Q8—171no—
395C2×C4×Q8—341no—
396C2×C4×Q8C2×D1711yescharacteristic
397C2×C4×D4—171no—
398C2×C4×D4—171no—
399C2×C4×D4—341no—
400#490—178no—
401#489—178no—
402#488—178no—
403#479—178no—
404#478—178no—
405#476—178no—
406#464—178no—
407#464—178no—
408#460—178no—
409#446C2×D1718yescomplemented
410#441—178no—
411#440—178no—
412C4×SD16—178no—
413C2×#107—171no—
414C2×#106—171no—
415C2×#106—171no—
416C2×C4⋊C8C2×D1711yescharacteristic
417C2×C4⋊C8C2×D1711yescharacteristic
418C2×C4⋊C8C2×D1711yescharacteristic
419C2×#103—171no—
420C2×#103—171no—
421C2×#103—171no—
422C2×#103—171no—
423C2×#102—171no—
424C2×#102—171no—
425C2×#102—171no—
426C2×#102—171no—
427C2×#102—171no—
428C2×#102—171no—
429C2×#97C2×D1711yescharacteristic
430C2×#97C2×D1711yescharacteristic
431C2×C4×C8C2×D1711yescharacteristic
432C2×C17#337114yescomplemented
433C2×C17C2×#54811yescharacteristic
434C2×C17C2×#57511yescharacteristic
435C2×C17C2×#57711yescharacteristic
436D17—82no—
437D17—82no—
438C22×Q8—171no—
439C22×Q8—171no—
440C22×Q8—341no—
441C22×Q8D6811yescharacteristic
442C22×D4—171no—
443C22×D4—171no—
444C22×D4—341no—
445C22×D4—341no—
446C23×C4—341no—
447C23×C4—341no—
448C2×Q16—174no—
449C2×Q16—344no—
450C2×SD16—174no—
451C2×SD16—174no—
452C2×SD16—344no—
453C2×SD16—344no—
454C22×C8C22×D1711yescharacteristic
455C22×C8C22×D1711yescharacteristic
456C22×C8C22×D1711yescharacteristic
457C22×C8C22×D1711yescharacteristic
458C4⋊Q8—174no—
459C4⋊Q8—348no—
460C4⋊Q8—342no—
461#127—174no—
462#127—342no—
463#125—174no—
464#125—174no—
465#125—348no—
466#125—348no—
467#125—342no—
468#125—342no—
469#124—174no—
470#124—174no—
471#124—348no—
472#124—342no—
473#124—342no—
474#123—348no—
475#123—348no—
476C4×Q8—174no—
477C4×Q8—174no—
478C4×Q8—174no—
479C4×Q8—174no—
480C4×Q8—348no—
481C4×Q8—342no—
482C4×Q8—342no—
483C4×Q8—342no—
484C4×Q8—342no—
485C4×Q8D6814yes—
486C4×Q8C22×D1714yes—
487C4×D4—174no—
488C4×D4—174no—
489C4×D4—348no—
490C4×D4—342no—
491C4×D4—342no—
492C2×C4⋊C4—171no—
493C2×C4⋊C4—171no—
494C2×C4⋊C4—171no—
495C2×C4⋊C4—171no—
496C2×C4⋊C4—341no—
497C2×C4⋊C4—341no—
498C2×C4⋊C4—341no—
499C2×C4⋊C4—341no—
500C2×C4⋊C4—341no—
501C2×C4⋊C4—341no—
502C2×C4⋊C4—341no—
503C2×C4⋊C4—341no—
504C2×C4⋊C4—341no—
505C2×C4⋊C4D6811yescharacteristic
506C2×C4⋊C4D6811yescharacteristic
507C2×C4⋊C4D6811yescharacteristic
508C2×C22⋊C4—341no—
509C2×C22⋊C4—341no—
510C2×C22⋊C4—341no—
511C2×C22⋊C4—341no—
512C2×C22⋊C4—341no—
513C2×C22⋊C4—341no—
514C2×C42—341no—
515C2×C42—341no—
516C2×C42—341no—
517C2×C42—341no—
518C2×C42C22×D1711yescharacteristic
519C2×C42C22×D1711yescharacteristic
520C2×C42C22×D1711yescharacteristic
521#107—174no—
522#106—174no—
523#106—174no—
524C4⋊C8C22×D1714yes—
525C4⋊C8C22×D1714yes—
526C4⋊C8C22×D1714yes—
527#103—174no—
528#103—174no—
529#103—174no—
530#103—174no—
531#102—174no—
532#102—174no—
533#102—174no—
534#102—174no—
535#102—174no—
536#102—174no—
537#97C22×D1714yes—
538#97C22×D1714yes—
539C4×C8C22×D1714yes—
540C17C2×#337111yescharacteristic, complemented, Sylow
541C24—341no—
542C24—341no—
543C2×Q8—42no—
544C2×Q8—174no—
545C2×Q8—172no—
546C2×Q8—172no—
547C2×Q8—341no—
548C2×Q8—341no—
549C2×Q8—344no—
550C2×Q8—342no—
551C2×Q8—342no—
552C2×Q8—342no—
553C2×Q8—684no—
554C2×Q8C2×D6814yes—
555C2×D4—172no—
556C2×D4—172no—
557C2×D4—344no—
558C2×D4—341no—
559C2×D4—341no—
560C2×D4—344no—
561C2×D4—342no—
562C2×D4—342no—
563C2×D4—342no—
564C2×D4—342no—
565C2×D4—684no—
566C2×D4—1362no—
567C22×C4—341no—
568C22×C4—341no—
569C22×C4—341no—
570C22×C4—341no—
571C22×C4—341no—
572C22×C4—341no—
573C22×C4—344no—
574C22×C4—344no—
575C22×C4—1362no—
576C22×C4—1362no—
577C22×C4C2×D6811yescharacteristic
578C22×C4C2×D6811yescharacteristic
579C22×C4C2×D6811yescharacteristic
580C22×C4C2×D6811yescharacteristic
581C22×C4C2×D6811yescharacteristic
582C22×C4C2×D6811yescharacteristic
583C22×C4C23×D1711yescharacteristic
584Q16—348no—
585SD16—348no—
586SD16—348no—
587C2×C8—22no—
588C2×C8—22no—
589C2×C8—22no—
590C2×C8—22no—
591C2×C8C23×D1712yes—
592C2×C8C23×D1712yes—
593C2×C8C23×D1712yes—
594C2×C8C23×D1712yes—
595C4⋊C4—172no—
596C4⋊C4—172no—
597C4⋊C4—172no—
598C4⋊C4—172no—
599C4⋊C4—341no—
600C4⋊C4—341no—
601C4⋊C4—341no—
602C4⋊C4—341no—
603C4⋊C4—344no—
604C4⋊C4—344no—
605C4⋊C4—344no—
606C4⋊C4—344no—
607C4⋊C4—344no—
608C4⋊C4—344no—
609C4⋊C4—344no—
610C4⋊C4—344no—
611C4⋊C4—344no—
612C4⋊C4C2×D6814yes—
613C4⋊C4C2×D6814yes—
614C4⋊C4C2×D6814yes—
615C22⋊C4—344no—
616C22⋊C4—344no—
617C22⋊C4—344no—
618C22⋊C4—344no—
619C22⋊C4—344no—
620C22⋊C4—344no—
621C42—344no—
622C42—344no—
623C42—344no—
624C42—344no—
625C42C2×D6812yes—
626C42C2×D6812yes—
627C42C2×D6812yes—
628C42C23×D1712yes—
629C42C23×D1712yes—
630C42C23×D1712yes—
631C23—342no—
632C23—342no—
633C23—682no—
634C23—682no—
635C23—682no—
636C23—682no—
637C23—682no—
638C23—682no—
639C23C22×D6811yescharacteristic
640Q8—44no—
641Q8—174no—
642Q8—344no—
643Q8—342no—
644Q8—342no—
645Q8—342no—
646Q8—688no—
647Q8—682no—
648D4—342no—
649D4—342no—
650D4—342no—
651D4—342no—
652D4—688no—
653D4—682no—
654D4—682no—
655D4—1364no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—344no—
663C2×C4—342no—
664C2×C4—342no—
665C2×C4—342no—
666C2×C4—342no—
667C2×C4—342no—
668C2×C4—342no—
669C2×C4—682no—
670C2×C4—682no—
671C2×C4—682no—
672C2×C4—682no—
673C2×C4—682no—
674C2×C4—1364no—
675C2×C4—1364no—
676C2×C4C22×D6812yes—
677C2×C4C22×D6812yes—
678C2×C4C22×D6812yes—
679C2×C4C22×D6812yes—
680C2×C4C22×D6812yes—
681C2×C4C22×D6812yes—
682C2×C4C22×D6811yescharacteristic
683C2×C4#1058769412yes—
684C2×C4#41×D1712yes—
685C2×C4C24×D1711yescharacteristic
686C8—22no—
687C8—22no—
688C8—22no—
689C8—22no—
690C22—682no—
691C22—682no—
692C22—682no—
693C22—682no—
694C22—682no—
695C22—682no—
696C22—1364no—
697C22—1364no—
698C22#1176347112yes—
699C22#1176360912yes—
700C22#1176362112yes—
701C22C23×D6811yescharacteristic
702C4—22no—
703C4—22no—
704C4—22no—
705C4—22no—
706C4—22no—
707C4—22no—
708C4—344no—
709C4—682no—
710C4—682no—
711C4—682no—
712C4—682no—
713C4—682no—
714C4#1176347112yes—
715C4C2×#41×D1711yescharacteristic
716C4C2×#1058769411yescharacteristic
717C2—1362no—
718C2—1362no—
719C2#1454155414yesdirect product factor
720C2C2×#1176347111yescharacteristic
721C2C2×#1176360911yescharacteristic
722C2C2×#1176362111yescharacteristic
subgroupG/H
centerC23C22×D68
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#446C2
socleC23×C17C22×D4
prime radicalC2×#10587560C22
hypercenterC2×#446D17
hypocenterC17C2×#3371
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
2. C2×#11763537C2semidirect
3. #14541554C2direct (N × H)
5. C2×#11763169C2semidirect
6. C2×#11763164C2semidirect
7. C2×#11763117C2semidirect
8. C2×#11763110C2semidirect
9. C2×#11763100C2semidirect
10. C2×#11763032C2semidirect
11. C2×#11763032C2semidirect
13. C2×#11762917C2semidirect
14. C2×#11762911C2semidirect
15. C2×C4×#63219C2semidirect
16. C2×C17×#446C2semidirect
23. #11763537C22semidirect
45. #11763169C22semidirect
46. #11763164C22semidirect
47. #11763117C22semidirect
48. #11763110C22semidirect
49. #11763100C22semidirect
50. #11763032C22semidirect
51. #11763032C22semidirect
53. #11762917C22semidirect
54. #11762911C22semidirect
55. C4×#63219C22semidirect
70. C17×#446C22semidirect
341. C2×#446D17semidirect
409. #446C2×D17semidirect
432. C2×C17#3371semidirect
540. C17C2×#3371semidirect
719. C2#14541554direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117635442
C2×#117635372
#145415542
C2×#117631742
C2×#117631692
C2×#117631642
C2×#117631172
C2×#117631102
C2×#117631002
C2×#117630322
C2×#117630102
C2×#117629172
C2×#117629112
C2×C4×#632192
C2×C17×#4462
C2×#337117