Finite Group Databasebeta

← C2×#14541316 #17912953

Subgroups — C2×#14541316 #17912953

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×#11763529C211yesmaximal, characteristic
2C2×#11763499C211yesmaximal, characteristic
3#14541316C2116yesmaximal, direct product factor
4C2×#11763218C211yesmaximal, characteristic, complemented
5C2×#11763145C211yesmaximal, characteristic, complemented
6C2×#11763151C211yesmaximal, characteristic, complemented
7C2×#11763151C211yesmaximal, characteristic, complemented
8C2×#11763151C211yesmaximal, characteristic, complemented
9C2×#11763117C211yesmaximal, characteristic, complemented
10C2×#11763105C211yesmaximal, characteristic, complemented
11C2×#11763067C211yesmaximal, characteristic, complemented
12C2×#11763050C211yesmaximal, characteristic, complemented
13C2×#11762917C211yesmaximal, characteristic, complemented
14C2×#11762851C211yesmaximal, characteristic, complemented
15C2×#11762847C211yesmaximal, characteristic, complemented
16C2×C17×#435C211yesmaximal, characteristic
17C22×Dic68C2211yescharacteristic
18#11763529—24no—
19#11763529C2218yes—
20#11763499—24no—
21#11763499C2218yes—
22C2×#10587555C2211yescharacteristic
23C2×#10587565—21no—
24C2×#10587565—21no—
25C2×#10587565—21no—
26C2×#10587556C2211yescharacteristic
27C2×#10587575—21no—
28C2×#10587622—21no—
29C2×#10587621—21no—
30C2×#10587610C2211yescharacteristic
31C2×#10587610C2211yescharacteristic
32C2×#10587610C2211yescharacteristic
33C2×#10587610C2211yescharacteristic
34C2×C4×Dic34C2211yescharacteristic
35C2×C4×Dic34C2211yescharacteristic
36C2×#10587573—21no—
37C2×#10587612C2211yescharacteristic
38C2×#10587612C2211yescharacteristic
39C2×#10587612C2211yescharacteristic
40C2×#10587563—21no—
41C22×C4⋊Dic17C2211yescharacteristic
42#11763218C2218yescomplemented
43#11763151C2218yescomplemented
44#11763151C2218yescomplemented
45#11763151C2218yescomplemented
46#11763145C2218yescomplemented
47#11763117C2218yescomplemented
48#11763105C2218yescomplemented
49#11763067C2218yescomplemented
50#11763050C2218yescomplemented
51#11762917C2218yescomplemented
52#11762851C2218yescomplemented
53#11762847C2218yescomplemented
54C2×#10587489C2211yescharacteristic
55C2×#10587489C2211yescharacteristic
56C2×#10587489C2211yescharacteristic
57C2×#10587489C2211yescharacteristic
58C2×#10587489C2211yescharacteristic
59C2×#10587488C2211yescharacteristic
60C2×#10587488C2211yescharacteristic
61C2×#10587488C2211yescharacteristic
62C2×#10587488C2211yescharacteristic
63C2×#10587487C2211yescharacteristic
64C2×#10587487C2211yescharacteristic
65C2×#10587487C2211yescharacteristic
66C2×#10587487C2211yescharacteristic
67C2×#10587487C2211yescharacteristic
68C2×#10587487C2211yescharacteristic
69C22×M16×C17C2211yescharacteristic
70C23×C8×C17C2211yescharacteristic
71C2×C4×D4×C17C2211yescharacteristic
72C17×#435C2218yes—
73C2×C17×C4⋊C8C2211yescharacteristic
74C2×C17×C22⋊C8C2211yescharacteristic
75C2×C17×C22⋊C8C2211yescharacteristic
76C2×C17×#97C2211yescharacteristic
77C22×D4×C17D411yescharacteristic
78C23×C4×C17C2311yescharacteristic
79C23×C4×C17C2311yescharacteristic
80C23×Dic17—21no—
81C22×Dic34—21no—
82C22×Dic34C2311yescharacteristic
83C22×Dic34C2311yescharacteristic
84C2×M16×C17—24no—
85C2×M16×C17C2314yes—
86C22×C8×C17—24no—
87C22×C8×C17C2314yes—
88C22×C8×C17C2311yescharacteristic
89C22×C8×C17C2311yescharacteristic
90C22×C8×C17C2311yescharacteristic
91C22×C8×C17C2311yescharacteristic
92C4×D4×C17D414yes—
93C4×D4×C17C2314yes—
94C2×C4⋊C4×C17D411yescharacteristic
95C2×C22⋊C4×C17D411yescharacteristic
96C2×C22⋊C4×C17D411yescharacteristic
97C2×C42×C17C2311yescharacteristic
98C2×C22⋊Dic17—21no—
99C2×C22⋊Dic17—21no—
100C2×C22⋊Dic17—21no—
101C2×C22⋊Dic17—21no—
102C2×C22⋊Dic17—21no—
103C2×C22⋊Dic17—21no—
104C2×C22⋊Dic17—21no—
105#10587622—28no—
106#10587621—28no—
107#10587612—22no—
108#10587612—22no—
109#10587612—22no—
110#10587612C2314yes—
111#10587612C2314yes—
112#10587612C2314yes—
113C2×C4⋊Dic17—22no—
114C2×C4⋊Dic17—21no—
115C2×C4⋊Dic17—21no—
116C2×C4⋊Dic17C2314yes—
117C2×C4⋊Dic17C2311yescharacteristic
118C2×C4⋊Dic17C2311yescharacteristic
119C2×C4⋊Dic17C2311yescharacteristic
120C2×C4⋊Dic17C2311yescharacteristic
121C2×C4⋊Dic17C2311yescharacteristic
122C2×C4⋊Dic17C2311yescharacteristic
123#10587610—22no—
124#10587610—22no—
125#10587610—22no—
126#10587610—22no—
127#10587610C2314yes—
128#10587610C2314yes—
129#10587610C2314yes—
130#10587610C2314yes—
131C2×#63225—21no—
132C2×#63225—21no—
133C2×#63225—21no—
134C2×#63225—21no—
135C2×#63225—21no—
136C2×#63225—21no—
137C2×#63225—21no—
138C2×#63225—21no—
139C2×C4×Dic17—21no—
140C2×C4×Dic17—21no—
141C2×C4×Dic17—21no—
142C2×C4×Dic17—21no—
143C2×C4×Dic17—21no—
144C2×Dic68—24no—
145C2×Dic68C2314yes—
146#10587575—28no—
147#10587573—28no—
148#10587565—28no—
149#10587565—28no—
150#10587565—28no—
151#10587563—28no—
152#10587556—22no—
153#10587556C2314yes—
154#10587555—22no—
155#10587555C2314yes—
156C4×Dic34—22no—
157C4×Dic34—22no—
158C4×Dic34C2314yes—
159C4×Dic34C2314yes—
160C17×C4⋊C8C2314yes—
161C17×C22⋊C8C2314yes—
162C17×C22⋊C8C2314yes—
163C17×#97C2314yes—
164#10587489C2314yes—
165#10587489C2314yes—
166#10587489C2314yes—
167#10587489C2314yes—
168#10587489C2314yes—
169#10587488C2314yes—
170#10587488C2314yes—
171#10587488C2314yes—
172#10587488C2314yes—
173#10587487C2314yes—
174#10587487C2314yes—
175#10587487C2314yes—
176#10587487C2314yes—
177#10587487C2314yes—
178#10587487C2314yes—
179C24×C17C2×D411yescharacteristic
180C24×C17C2×D411yescharacteristic
181C2×D4×C17—42no—
182C2×D4×C17C2×D414yes—
183C22×C4×C17—22no—
184C22×C4×C17—22no—
185C22×C4×C17—22no—
186C22×C4×C17—22no—
187C22×C4×C17C2×D411yescharacteristic
188C22×C4×C17C2×D411yescharacteristic
189C22×C4×C17C2×D411yescharacteristic
190C22×C4×C17C2×D412yes—
191C22×C4×C17C2×D412yes—
192C22×C4×C17C2×D411yescharacteristic
193C22×C4×C17C2412yes—
194C22×C4×C17C2412yes—
195C22×C4×C17C2411yescharacteristic
196C22×Dic17—21no—
197C22×Dic17—21no—
198C22×Dic17—21no—
199C22×Dic17—21no—
200C22×Dic17—24no—
201C22×Dic17—21no—
202C22×Dic17—21no—
203C22×Dic17—21no—
204C22×Dic17—21no—
205C22×Dic17—44no—
206C2×Dic34—22no—
207C2×Dic34—22no—
208C2×Dic34—22no—
209C2×Dic34—22no—
210C2×Dic34—24no—
211C2×Dic34—21no—
212C2×Dic34—21no—
213C2×Dic34—44no—
214C2×Dic34C2412yes—
215C2×Dic34C2412yes—
216M16×C17—28no—
217C2×C8×C17—22no—
218C2×C8×C17—22no—
219C2×C8×C17—22no—
220C2×C8×C17—28no—
221C2×C8×C17#4114yes—
222C2×C8×C17C2412yes—
223C2×C8×C17C2412yes—
224C2×C8×C17C2412yes—
225C2×C8×C17C2412yes—
226C4⋊C4×C17C2×D414yes—
227C22⋊C4×C17C2×D414yes—
228C22⋊C4×C17C2×D414yes—
229C42×C17C2×D412yes—
230C42×C17C2412yes—
231C22⋊Dic17—24no—
232C22⋊Dic17—24no—
233C22⋊Dic17—24no—
234C22⋊Dic17—24no—
235C22⋊Dic17—24no—
236C22⋊Dic17—24no—
237C22⋊Dic17—24no—
238C4⋊Dic17—21no—
239C4⋊Dic17—21no—
240C4⋊Dic17—21no—
241C4⋊Dic17—21no—
242C4⋊Dic17—24no—
243C4⋊Dic17—21no—
244C4⋊Dic17—21no—
245C4⋊Dic17—24no—
246C4⋊Dic17C2412yes—
247C4⋊Dic17C2412yes—
248C4⋊Dic17C2412yes—
249C4⋊Dic17C2412yes—
250C4⋊Dic17C2412yes—
251C4⋊Dic17C2412yes—
252#63225—24no—
253#63225—24no—
254#63225—24no—
255#63225—24no—
256#63225—24no—
257#63225—24no—
258#63225—24no—
259#63225—24no—
260C4×Dic17—24no—
261C4×Dic17—24no—
262C4×Dic17—24no—
263C4×Dic17—24no—
264C4×Dic17—24no—
265Dic68—28no—
266C2×#3349—171nomaximal, Sylow
267C23×C17—22no—
268C23×C17—22no—
269C23×C17—22no—
270C23×C17—22no—
271C23×C17—22no—
272C23×C17—22no—
273C23×C17C22×D412yes—
274C23×C17C22×D412yes—
275C23×C17C22×D411yescharacteristic
276D4×C17—44no—
277C2×C4×C17—22no—
278C2×C4×C17—22no—
279C2×C4×C17—22no—
280C2×C4×C17—22no—
281C2×C4×C17—24no—
282C2×C4×C17—24no—
283C2×C4×C17—22no—
284C2×C4×C17—22no—
285C2×C4×C17—22no—
286C2×C4×C17—22no—
287C2×C4×C17C22×D412yes—
288C2×C4×C17C22×D412yes—
289C2×C4×C17C22×D412yes—
290C2×C4×C17C22×D412yes—
291C2×C4×C17C22×D411yescharacteristic
292C2×C4×C17C2×#4112yes—
293C2×C4×C172−1+412yes—
294C2×C4×C17C2511yescharacteristic
295C2×Dic17—22no—
296C2×Dic17—22no—
297C2×Dic17—22no—
298C2×Dic17—22no—
299C2×Dic17—22no—
300C2×Dic17—22no—
301C2×Dic17—22no—
302C2×Dic17—22no—
303C2×Dic17—48no—
304C2×Dic17—42no—
305C2×Dic17—42no—
306C2×Dic17—42no—
307C2×Dic17—42no—
308C2×Dic17—42no—
309C2×Dic17—42no—
310C2×Dic17—42no—
311C2×Dic17—42no—
312Dic34—22no—
313Dic34—22no—
314Dic34—22no—
315Dic34—22no—
316Dic34—48no—
317Dic34—42no—
318Dic34—42no—
319C8×C17—22no—
320C8×C17—22no—
321C8×C17—22no—
322C8×C17C2×#4114yes—
323C2×#556—171no—
324C2×#552—171no—
325#3349—1716no—
326C2×#501—171no—
327C2×#484—171no—
328C2×#485—171no—
329C2×#485—171no—
330C2×#485—171no—
331C2×#479—171no—
332C2×#477—171no—
333C2×#470—171no—
334C2×#467—171no—
335C2×#441—171no—
336C2×#435D1711yescharacteristic
337C2×#428—171no—
338C2×#427—171no—
339C22×C17—22no—
340C22×C17—22no—
341C22×C17—22no—
342C22×C17—22no—
343C22×C17—22no—
344C22×C17—22no—
345C22×C17—44no—
346C22×C17—44no—
347C22×C17#54712yes—
348C22×C17#57512yes—
349C22×C17#57812yes—
350C22×C17C23×D411yescharacteristic
351C4×C17—22no—
352C4×C17—22no—
353C4×C17—22no—
354C4×C17—22no—
355C4×C17#54712yes—
356C4×C17C22×#4111yescharacteristic
357C4×C17C2×2−1+411yescharacteristic
358Dic17—42no—
359Dic17—42no—
360Dic17—42no—
361Dic17—42no—
362Dic17—42no—
363Dic17—42no—
364Dic17—42no—
365Dic17—42no—
366C22×Q16—171no—
367C22×M16C2×D1711yescharacteristic
368C23×C8C2×D1711yescharacteristic
369#556—178no—
370#556—344no—
371#552—178no—
372#552—344no—
373C2×C4⋊Q8—171no—
374C2×#126—341no—
375C2×#126—341no—
376C2×#126—341no—
377C2×#125—171no—
378C2×#125—341no—
379C2×#124—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×Q8—341no—
388C2×C4×D4C2×D1711yescharacteristic
389C2×#117—171no—
390C2×#117—171no—
391C2×#117—171no—
392C2×#117—341no—
393C22×C4⋊C4—171no—
394#501—178no—
395#485—178no—
396#485—178no—
397#485—178no—
398#484—178no—
399#479—178no—
400#477—178no—
401#470—178no—
402#467—178no—
403#441—178no—
404#435C2×D1718yes—
405#428—178no—
406#427—178no—
407C2×#107—171no—
408C2×#107—171no—
409C2×#107—171no—
410C2×#107—171no—
411C2×#107—171no—
412C2×#106—171no—
413C2×#106—171no—
414C2×#106—171no—
415C2×#106—171no—
416C2×C4⋊C8C2×D1711yescharacteristic
417C2×#103—171no—
418C2×#103—171no—
419C2×#103—171no—
420C2×#103—171no—
421C2×#103—171no—
422C2×#103—171no—
423C2×C22⋊C8C2×D1711yescharacteristic
424C2×C22⋊C8C2×D1711yescharacteristic
425C2×#97C2×D1711yescharacteristic
426C2×C17—42no—
427C2×C17—42no—
428C2×C17#334914yescomplemented
429C2×C17C2×#54711yescharacteristic
430C2×C17C2×#57511yescharacteristic
431C2×C17C2×#57811yescharacteristic
432C22×Q8—171no—
433C22×Q8—171no—
434C22×Q8—341no—
435C22×D4D6811yescharacteristic
436C23×C4—341no—
437C23×C4C22×D1711yescharacteristic
438C23×C4C22×D1711yescharacteristic
439C2×Q16—174no—
440C2×Q16—344no—
441C2×M16—24no—
442C2×M16C22×D1714yes—
443C22×C8—24no—
444C22×C8C22×D1711yescharacteristic
445C22×C8C22×D1714yes—
446C22×C8C22×D1711yescharacteristic
447C22×C8C22×D1711yescharacteristic
448C22×C8C22×D1711yescharacteristic
449C4⋊Q8—174no—
450C4⋊Q8—342no—
451#126—348no—
452#126—348no—
453#126—348no—
454#125—174no—
455#125—348no—
456#125—342no—
457#124—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—348no—
470C4×Q8—342no—
471C4×Q8—342no—
472C4×D4D6814yes—
473C4×D4C22×D1714yes—
474#117—174no—
475#117—174no—
476#117—174no—
477#117—342no—
478#117—342no—
479#117—342no—
480#117—348no—
481C2×C4⋊C4—171no—
482C2×C4⋊C4—171no—
483C2×C4⋊C4—174no—
484C2×C4⋊C4—171no—
485C2×C4⋊C4—171no—
486C2×C4⋊C4—171no—
487C2×C4⋊C4—171no—
488C2×C4⋊C4—341no—
489C2×C4⋊C4—342no—
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⋊C4—341no—
498C2×C4⋊C4—341no—
499C2×C4⋊C4D6811yescharacteristic
500C2×C22⋊C4—341no—
501C2×C22⋊C4—341no—
502C2×C22⋊C4—341no—
503C2×C22⋊C4—341no—
504C2×C22⋊C4—341no—
505C2×C22⋊C4—341no—
506C2×C22⋊C4—341no—
507C2×C22⋊C4D6811yescharacteristic
508C2×C22⋊C4D6811yescharacteristic
509C2×C42—341no—
510C2×C42—341no—
511C2×C42—341no—
512C2×C42—341no—
513C2×C42—341no—
514C2×C42C22×D1711yescharacteristic
515#107—174no—
516#107—174no—
517#107—174no—
518#107—174no—
519#107—174no—
520#106—174no—
521#106—174no—
522#106—174no—
523#106—174no—
524C4⋊C8C22×D1714yes—
525#103—174no—
526#103—174no—
527#103—174no—
528#103—174no—
529#103—174no—
530#103—174no—
531C22⋊C8C22×D1714yes—
532C22⋊C8C22×D1714yes—
533#97C22×D1714yes—
534C17C2×#334911yescharacteristic, complemented, Sylow
535C24C2×D6811yescharacteristic
536C24C2×D6811yescharacteristic
537C2×Q8—172no—
538C2×Q8—172no—
539C2×Q8—341no—
540C2×Q8—341no—
541C2×Q8—344no—
542C2×Q8—342no—
543C2×Q8—342no—
544C2×Q8—342no—
545C2×Q8—342no—
546C2×Q8—684no—
547C2×D4—42no—
548C2×D4C2×D6814yes—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—22no—
553C22×C4—344no—
554C22×C4—341no—
555C22×C4—341no—
556C22×C4—341no—
557C22×C4—341no—
558C22×C4—341no—
559C22×C4—341no—
560C22×C4—341no—
561C22×C4—341no—
562C22×C4—684no—
563C22×C4C2×D6812yes—
564C22×C4C2×D6812yes—
565C22×C4C2×D6811yescharacteristic
566C22×C4C2×D6811yescharacteristic
567C22×C4C2×D6811yescharacteristic
568C22×C4C2×D6811yescharacteristic
569C22×C4C23×D1712yes—
570C22×C4C23×D1712yes—
571C22×C4C23×D1711yescharacteristic
572Q16—348no—
573M16—28no—
574C2×C8—22no—
575C2×C8—22no—
576C2×C8—22no—
577C2×C8—28no—
578C2×C8#6325414yes—
579C2×C8C23×D1712yes—
580C2×C8C23×D1712yes—
581C2×C8C23×D1712yes—
582C2×C8C23×D1712yes—
583C4⋊C4—172no—
584C4⋊C4—172no—
585C4⋊C4—172no—
586C4⋊C4—172no—
587C4⋊C4—172no—
588C4⋊C4—172no—
589C4⋊C4—341no—
590C4⋊C4—341no—
591C4⋊C4—344no—
592C4⋊C4—341no—
593C4⋊C4—341no—
594C4⋊C4—341no—
595C4⋊C4—341no—
596C4⋊C4—344no—
597C4⋊C4—344no—
598C4⋊C4—344no—
599C4⋊C4—344no—
600C4⋊C4—344no—
601C4⋊C4—344no—
602C4⋊C4—344no—
603C4⋊C4—344no—
604C4⋊C4—344no—
605C4⋊C4C2×D6814yes—
606C22⋊C4—344no—
607C22⋊C4—344no—
608C22⋊C4—344no—
609C22⋊C4—344no—
610C22⋊C4—344no—
611C22⋊C4—344no—
612C22⋊C4—344no—
613C22⋊C4C2×D6814yes—
614C22⋊C4C2×D6814yes—
615C42—344no—
616C42—344no—
617C42—344no—
618C42—344no—
619C42—344no—
620C42C2×D6812yes—
621C42C23×D1712yes—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—22no—
626C23—22no—
627C23—22no—
628C23C22×D6812yes—
629C23C22×D6812yes—
630C23C22×D6811yescharacteristic
631Q8—342no—
632Q8—342no—
633Q8—342no—
634Q8—342no—
635Q8—688no—
636Q8—682no—
637Q8—682no—
638D4—44no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—342no—
650C2×C4—342no—
651C2×C4—342no—
652C2×C4—342no—
653C2×C4—342no—
654C2×C4—342no—
655C2×C4—342no—
656C2×C4—342no—
657C2×C4—688no—
658C2×C4—682no—
659C2×C4—682no—
660C2×C4—682no—
661C2×C4—682no—
662C2×C4—682no—
663C2×C4—682no—
664C2×C4—682no—
665C2×C4—682no—
666C2×C4C22×D6812yes—
667C2×C4C22×D6812yes—
668C2×C4C22×D6812yes—
669C2×C4C22×D6812yes—
670C2×C4C22×D6811yescharacteristic
671C2×C4C2×#6325412yes—
672C2×C4#1058769712yes—
673C2×C4C24×D1711yescharacteristic
674C8—22no—
675C8—22no—
676C8—22no—
677C8C2×#6325414yes—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—22no—
684C22—44no—
685C22—44no—
686C22#1176346312yes—
687C22#1176360912yes—
688C22#1176362612yes—
689C22C23×D6811yescharacteristic
690C4—22no—
691C4—22no—
692C4—22no—
693C4—22no—
694C4—682no—
695C4—682no—
696C4—682no—
697C4—682no—
698C4—682no—
699C4—682no—
700C4—682no—
701C4—682no—
702C4#1176346312yes—
703C4C22×#6325411yescharacteristic
704C4C2×#1058769711yescharacteristic
705C2—42no—
706C2—42no—
707C2#1454131614yesdirect product factor
708C2C2×#1176346311yescharacteristic
709C2C2×#1176360911yescharacteristic
710C2C2×#1176362611yescharacteristic
subgroupG/H
centerC23C22×D68
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#435C2
socleC23×C17C22×D4
prime radicalC22×D4×C17D4
hypercenterC2×#435D17
hypocenterC17C2×#3349
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
3. #14541316C2direct (N × H)
4. C2×#11763218C2semidirect
5. C2×#11763145C2semidirect
6. C2×#11763151C2semidirect
7. C2×#11763151C2semidirect
8. C2×#11763151C2semidirect
9. C2×#11763117C2semidirect
10. C2×#11763105C2semidirect
11. C2×#11763067C2semidirect
12. C2×#11763050C2semidirect
13. C2×#11762917C2semidirect
14. C2×#11762851C2semidirect
15. C2×#11762847C2semidirect
42. #11763218C22semidirect
43. #11763151C22semidirect
44. #11763151C22semidirect
45. #11763151C22semidirect
46. #11763145C22semidirect
47. #11763117C22semidirect
48. #11763105C22semidirect
49. #11763067C22semidirect
50. #11763050C22semidirect
51. #11762917C22semidirect
52. #11762851C22semidirect
53. #11762847C22semidirect
428. C2×C17#3349semidirect
534. C17C2×#3349semidirect
707. C2#14541316direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117635292
C2×#117634992
#145413162
C2×#117632182
C2×#117631452
C2×#117631512
C2×#117631172
C2×#117631052
C2×#117630672
C2×#117630502
C2×#117629172
C2×#117628512
C2×#117628472
C2×C17×#4352
C2×#334917