Finite Group Databasebeta

← C2×#14540052 #17906529

Subgroups — C2×#14540052 #17906529

Order 4352.

1678 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763421C211yesmaximal, characteristic
2#14540052C2116yesmaximal, direct product factor
3C2×#11763215C211yesmaximal, characteristic, complemented
4C2×#11763208C211yesmaximal, characteristic, complemented
5C2×#11763179C211yesmaximal, characteristic, complemented
6C2×#11763161C211yesmaximal, characteristic, complemented
7C2×#11763144C211yesmaximal, characteristic
8C2×#11763150C211yesmaximal, characteristic
9C2×#11763150C211yesmaximal, characteristic
10C2×#11763139C211yesmaximal, characteristic
11C2×#11763113C211yesmaximal, characteristic, complemented
12C2×#11763113C211yesmaximal, characteristic, complemented
13C2×#11763101C211yesmaximal, characteristic, complemented
14C2×#11763091C211yesmaximal, characteristic, complemented
15C2×#11762870C211yesmaximal, characteristic
16C2×C17×#544C211yesmaximal, characteristic
17#11763421—24no—
18#11763421C2218yes—
19C2×#10587555C2211yescharacteristic
20C2×#10587565—21no—
21C2×#10587565—21no—
22C2×#10587556C2211yescharacteristic
23C2×#10587575—21no—
24C2×#10587575—21no—
25C2×#10587610C2211yescharacteristic
26C2×#10587610C2211yescharacteristic
27C2×C4×Dic34C2211yescharacteristic
28C2×C4×Dic34C2211yescharacteristic
29#11763215C2218yescomplemented
30#11763208C2218yescomplemented
31#11763179C2218yescomplemented
32#11763161C2218yescomplemented
33#11763150C2218yes—
34#11763150C2218yes—
35#11763144C2218yes—
36#11763139C2218yes—
37#11763113C2218yescomplemented
38#11763113C2218yescomplemented
39#11763101C2218yescomplemented
40#11763091C2218yescomplemented
41#11762870C2218yes—
42C2×#10587478C2211yescharacteristic
43C2×#10587478C2211yescharacteristic
44C2×#10587478C2211yescharacteristic
45C2×#10587478C2211yescharacteristic
46C2×#10587479C2211yescharacteristic
47C2×#10587479C2211yescharacteristic
48C2×#10587479C2211yescharacteristic
49C2×#10587479C2211yescharacteristic
50C2×C4⋊#3622C2211yescharacteristic
51C2×C4⋊#3622C2211yescharacteristic
52C2×#10587481C2211yescharacteristic
53C2×#10587481C2211yescharacteristic
54C2×#10587481C2211yescharacteristic
55C2×#10587481C2211yescharacteristic
56C2×#10587481C2211yescharacteristic
57C2×#10587481C2211yescharacteristic
58C2×#10587481C2211yescharacteristic
59C2×#10587481C2211yescharacteristic
60C2×C22⋊#3622C2211yescharacteristic
61C2×C22⋊#3622C2211yescharacteristic
62C2×#10587474C2211yescharacteristic
63C2×C4×#3622C2211yescharacteristic
64C17×#544—24no—
65C17×#544C2218yes—
66C2×C17×C4⋊Q8—21no—
67C2×C17×C4⋊Q8C2211yescharacteristic
68C2×C17×C4⋊Q8C2211yescharacteristic
69C2×C17×#125—21no—
70C2×C17×#125C2211yescharacteristic
71C2×C17×#125C2211yescharacteristic
72C2×C17×C22⋊Q8—21no—
73C2×C17×C22⋊Q8—21no—
74C2×C17×#117C2211yescharacteristic
75C2×C17×#117C2211yescharacteristic
76C22×C4⋊C4×C17C2211yescharacteristic
77C22×Q8×C17—21no—
78C22×Q8×C17—21no—
79C23×C4×C17—21no—
80C23×C4×C17C2311yescharacteristic
81C22×Dic34C2311yescharacteristic
82C22×Dic34C2311yescharacteristic
83C17×C4⋊Q8—28no—
84C17×C4⋊Q8—22no—
85C17×C4⋊Q8—22no—
86C17×C4⋊Q8C2314yes—
87C17×C4⋊Q8C2314yes—
88C17×#125—28no—
89C17×#125—22no—
90C17×#125—22no—
91C17×#125C2314yes—
92C17×#125C2314yes—
93C17×C22⋊Q8—28no—
94C17×C22⋊Q8—28no—
95C17×#117—22no—
96C17×#117D414yes—
97C17×#117C2314yes—
98C17×#117C2314yes—
99C2×C4⋊C4×C17—21no—
100C2×C4⋊C4×C17—22no—
101C2×C4⋊C4×C17—21no—
102C2×C4⋊C4×C17—21no—
103C2×C4⋊C4×C17—21no—
104C2×C4⋊C4×C17—21no—
105C2×C4⋊C4×C17—21no—
106C2×C4⋊C4×C17—21no—
107C2×C4⋊C4×C17D411yescharacteristic
108C2×C4⋊C4×C17D411yescharacteristic
109C2×C4⋊C4×C17C2311yescharacteristic
110C2×C4⋊C4×C17C2311yescharacteristic
111C2×C4⋊C4×C17C2314yes—
112C2×C4⋊C4×C17C2311yescharacteristic
113C2×C4⋊C4×C17C2311yescharacteristic
114C2×C22⋊C4×C17—21no—
115C2×C22⋊C4×C17D411yescharacteristic
116C2×C22⋊C4×C17D411yescharacteristic
117C2×C42×C17—21no—
118C2×C42×C17C2311yescharacteristic
119C2×C42×C17C2311yescharacteristic
120C2×C22⋊Dic17—21no—
121C2×C22⋊Dic17—21no—
122C2×C4⋊Dic17—21no—
123C2×C4⋊Dic17—21no—
124C2×C4⋊Dic17C2311yescharacteristic
125C2×C4⋊Dic17C2311yescharacteristic
126#10587610—22no—
127#10587610—22no—
128#10587610C2314yes—
129#10587610C2314yes—
130C2×#63225—21no—
131C2×#63225—21no—
132C2×#63225—21no—
133C2×#63225—21no—
134C2×#63225—21no—
135C2×#63225—21no—
136C2×C4×Dic17—21no—
137C2×C4×Dic17—21no—
138C22×#3622C2311yescharacteristic
139C22×#3622C2311yescharacteristic
140C22×#3622C2311yescharacteristic
141C22×#3622C2311yescharacteristic
142#10587575—28no—
143#10587575—28no—
144#10587565—28no—
145#10587565—28no—
146#10587556—22no—
147#10587556C2314yes—
148#10587555—22no—
149#10587555C2314yes—
150C4×Dic34—22no—
151C4×Dic34—22no—
152C4×Dic34C2314yes—
153C4×Dic34C2314yes—
154C22⋊#3622C2314yes—
155C22⋊#3622C2314yes—
156#10587481C2314yes—
157#10587481C2314yes—
158#10587481C2314yes—
159#10587481C2314yes—
160#10587481C2314yes—
161#10587481C2314yes—
162#10587481C2314yes—
163#10587481C2314yes—
164#10587479C2314yes—
165#10587479C2314yes—
166#10587479C2314yes—
167#10587479C2314yes—
168#10587478C2314yes—
169#10587478C2314yes—
170#10587478C2314yes—
171#10587478C2314yes—
172C4⋊#3622C2314yes—
173C4⋊#3622C2314yes—
174#10587474C2314yes—
175C4×#3622C2314yes—
176C24×C17C2×D411yescharacteristic
177C2×Q8×C17—24no—
178C2×Q8×C17—24no—
179C2×Q8×C17—82no—
180C2×Q8×C17—82no—
181C22×C4×C17—22no—
182C22×C4×C17—22no—
183C22×C4×C17—21no—
184C22×C4×C17—21no—
185C22×C4×C17—21no—
186C22×C4×C17—21no—
187C22×C4×C17—24no—
188C22×C4×C17—82no—
189C22×C4×C17C2×D411yescharacteristic
190C22×C4×C17C2×D412yes—
191C22×C4×C17C2×D411yescharacteristic
192C22×C4×C17C2×D411yescharacteristic
193C22×C4×C17C2×D411yescharacteristic
194C22×C4×C17C2×D411yescharacteristic
195C22×C4×C17C2412yes—
196C22×C4×C17C2411yescharacteristic
197C22×Dic17—21no—
198C22×Dic17—21no—
199C22×Dic17—21no—
200C22×Dic17—21no—
201C2×Dic34—22no—
202C2×Dic34—22no—
203C2×Dic34—22no—
204C2×Dic34—22no—
205C2×Dic34—21no—
206C2×Dic34—21no—
207C2×Dic34C2412yes—
208C2×Dic34C2412yes—
209C4⋊C4×C17—24no—
210C4⋊C4×C17—24no—
211C4⋊C4×C17—24no—
212C4⋊C4×C17—24no—
213C4⋊C4×C17—24no—
214C4⋊C4×C17—24no—
215C4⋊C4×C17—21no—
216C4⋊C4×C17—24no—
217C4⋊C4×C17—21no—
218C4⋊C4×C17—21no—
219C4⋊C4×C17—21no—
220C4⋊C4×C17C2×D414yes—
221C4⋊C4×C17C2×D414yes—
222C4⋊C4×C17C2412yes—
223C4⋊C4×C17C2412yes—
224C4⋊C4×C17C2412yes—
225C4⋊C4×C17C2412yes—
226C22⋊C4×C17—24no—
227C22⋊C4×C17C2×D414yes—
228C22⋊C4×C17C2×D414yes—
229C42×C17—24no—
230C42×C17C2×D412yes—
231C42×C17C2×D412yes—
232C42×C17C2412yes—
233C42×C17C2412yes—
234C22⋊Dic17—24no—
235C22⋊Dic17—24no—
236C4⋊Dic17—21no—
237C4⋊Dic17—21no—
238C4⋊Dic17—24no—
239C4⋊Dic17—24no—
240C4⋊Dic17C2412yes—
241C4⋊Dic17C2412yes—
242#63225—24no—
243#63225—24no—
244#63225—24no—
245#63225—24no—
246#63225—24no—
247#63225—24no—
248C4×Dic17—24no—
249C4×Dic17—24no—
250C2×#3622—22no—
251C2×#3622—22no—
252C2×#3622—22no—
253C2×#3622—22no—
254C2×#3622C2412yes—
255C2×#3622C2412yes—
256C2×#3622C2412yes—
257C2×#3622C2412yes—
258C2×#3242—171nomaximal, Sylow
259C23×C17—22no—
260C23×C17—22no—
261C23×C17—22no—
262C23×C17C22×D412yes—
263C23×C17C22×D411yescharacteristic
264Q8×C17—84no—
265Q8×C17—84no—
266C2×C4×C17—22no—
267C2×C4×C17—22no—
268C2×C4×C17—22no—
269C2×C4×C17—22no—
270C2×C4×C17—22no—
271C2×C4×C17—24no—
272C2×C4×C17—22no—
273C2×C4×C17—22no—
274C2×C4×C17—22no—
275C2×C4×C17—22no—
276C2×C4×C17—22no—
277C2×C4×C17—22no—
278C2×C4×C17—42no—
279C2×C4×C17—42no—
280C2×C4×C17—42no—
281C2×C4×C17—42no—
282C2×C4×C17—84no—
283C2×C4×C17C22×D412yes—
284C2×C4×C17C22×D412yes—
285C2×C4×C17C22×D412yes—
286C2×C4×C17C22×D412yes—
287C2×C4×C17C22×D412yes—
288C2×C4×C17C22×D411yescharacteristic
289C2×C4×C172−1+412yes—
290C2×C4×C172−1+412yes—
291C2×C4×C17C2511yescharacteristic
292C2×Dic17—22no—
293C2×Dic17—22no—
294C2×Dic17—22no—
295C2×Dic17—22no—
296C2×Dic17—42no—
297C2×Dic17—42no—
298C2×Dic17—42no—
299C2×Dic17—42no—
300Dic34—22no—
301Dic34—22no—
302Dic34—22no—
303Dic34—22no—
304Dic34—42no—
305Dic34—42no—
306#3622—22no—
307#3622—22no—
308#3622—22no—
309#3622—22no—
310C2×#544D1711yescharacteristic
311C2×#541—171no—
312#3242—1716no—
313C2×#501—171no—
314C2×#499—171no—
315C2×#491—171no—
316C2×#487—171no—
317C2×#484—171no—
318C2×#485—171no—
319C2×#485—171no—
320C2×#483—171no—
321C2×#479—171no—
322C2×#479—171no—
323C2×#477—171no—
324C2×#475—171no—
325C2×#433—171no—
326C22×C17—22no—
327C22×C17—22no—
328C22×C17—22no—
329C22×C17—44no—
330C22×C17#53612yes—
331C22×C17#57712yes—
332C22×C17#57812yes—
333C22×C17C23×D411yescharacteristic
334C4×C17—22no—
335C4×C17—22no—
336C4×C17—22no—
337C4×C17—22no—
338C4×C17—22no—
339C4×C17—42no—
340C4×C17—42no—
341C4×C17—42no—
342C4×C17—42no—
343C4×C17#53612yes—
344C4×C17C2×2−1+411yescharacteristic
345C4×C17C2×2−1+411yescharacteristic
346Dic17—42no—
347Dic17—42no—
348Dic17—42no—
349Dic17—42no—
350#544—24no—
351#544C2×D1718yes—
352#541—178no—
353#541—344no—
354C2×C4⋊Q8—21no—
355C2×C4⋊Q8—171no—
356C2×C4⋊Q8C2×D1711yescharacteristic
357C2×C4⋊Q8C2×D1711yescharacteristic
358C2×#126—341no—
359C2×#126—341no—
360C2×#125—21no—
361C2×#125—171no—
362C2×#125—341no—
363C2×#125—341no—
364C2×#125C2×D1711yescharacteristic
365C2×#125C2×D1711yescharacteristic
366C2×C22⋊Q8—21no—
367C2×C22⋊Q8—21no—
368C2×C22⋊Q8—171no—
369C2×C22⋊Q8—171no—
370C2×C4×Q8—171no—
371C2×C4×Q8—171no—
372C2×#117C2×D1711yescharacteristic
373C2×#117C2×D1711yescharacteristic
374C22×C4⋊C4C2×D1711yescharacteristic
375#501—178no—
376#499—178no—
377#491—178no—
378#487—178no—
379#485—178no—
380#485—178no—
381#484—178no—
382#483—178no—
383#479—178no—
384#479—178no—
385#477—178no—
386#475—178no—
387#433—178no—
388C2×#107—171no—
389C2×#107—171no—
390C2×#107—171no—
391C2×#107—171no—
392C2×#106—171no—
393C2×#106—171no—
394C2×#106—171no—
395C2×#106—171no—
396C2×C4⋊C8—171no—
397C2×C4⋊C8—171no—
398C2×#103—171no—
399C2×#103—171no—
400C2×#103—171no—
401C2×#103—171no—
402C2×#103—171no—
403C2×#103—171no—
404C2×#103—171no—
405C2×#103—171no—
406C2×C22⋊C8—171no—
407C2×C22⋊C8—171no—
408C2×#97—171no—
409C2×C4×C8—171no—
410C2×C17—42no—
411C2×C17#324214yescomplemented
412C2×C17C2×#53611yescharacteristic
413C2×C17C2×#57711yescharacteristic
414C2×C17C2×#57811yescharacteristic
415C22×Q8—21no—
416C22×Q8—21no—
417C22×Q8—171no—
418C22×Q8—171no—
419C23×C4—21no—
420C23×C4C22×D1711yescharacteristic
421C22×C8—171no—
422C22×C8—171no—
423C22×C8—171no—
424C22×C8—171no—
425C4⋊Q8—28no—
426C4⋊Q8—22no—
427C4⋊Q8—22no—
428C4⋊Q8—174no—
429C4⋊Q8—342no—
430C4⋊Q8C22×D1714yes—
431C4⋊Q8C22×D1714yes—
432#126—348no—
433#126—348no—
434#125—28no—
435#125—22no—
436#125—22no—
437#125—174no—
438#125—348no—
439#125—348no—
440#125—342no—
441#125C22×D1714yes—
442#125C22×D1714yes—
443C22⋊Q8—28no—
444C22⋊Q8—28no—
445C22⋊Q8—174no—
446C22⋊Q8—174no—
447C22⋊Q8—342no—
448C22⋊Q8—342no—
449C4×Q8—174no—
450C4×Q8—174no—
451C4×Q8—342no—
452C4×Q8—342no—
453#117—22no—
454#117C22⋊D1714yes—
455#117C22×D1714yes—
456#117C22×D1714yes—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—22no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—171no—
466C2×C4⋊C4—171no—
467C2×C4⋊C4—341no—
468C2×C4⋊C4—341no—
469C2×C4⋊C4—341no—
470C2×C4⋊C4—341no—
471C2×C4⋊C4—341no—
472C2×C4⋊C4—341no—
473C2×C4⋊C4—341no—
474C2×C4⋊C4—341no—
475C2×C4⋊C4C22⋊D1711yescharacteristic
476C2×C4⋊C4C22⋊D1711yescharacteristic
477C2×C4⋊C4C22×D1711yescharacteristic
478C2×C4⋊C4C22×D1711yescharacteristic
479C2×C4⋊C4C22×D1714yes—
480C2×C4⋊C4C22×D1711yescharacteristic
481C2×C4⋊C4C22×D1711yescharacteristic
482C2×C22⋊C4—21no—
483C2×C22⋊C4—341no—
484C2×C22⋊C4—341no—
485C2×C22⋊C4C22⋊D1711yescharacteristic
486C2×C22⋊C4C22⋊D1711yescharacteristic
487C2×C42—21no—
488C2×C42—341no—
489C2×C42—341no—
490C2×C42C22×D1711yescharacteristic
491C2×C42C22×D1711yescharacteristic
492#107—174no—
493#107—174no—
494#107—174no—
495#107—174no—
496#106—174no—
497#106—174no—
498#106—174no—
499#106—174no—
500C4⋊C8—174no—
501C4⋊C8—174no—
502#103—174no—
503#103—174no—
504#103—174no—
505#103—174no—
506#103—174no—
507#103—174no—
508#103—174no—
509#103—174no—
510C22⋊C8—174no—
511C22⋊C8—174no—
512#97—174no—
513C4×C8—174no—
514C17C2×#324211yescharacteristic, complemented, Sylow
515C24C2×C22⋊D1711yescharacteristic
516C2×Q8—24no—
517C2×Q8—24no—
518C2×Q8—82no—
519C2×Q8—82no—
520C2×Q8—172no—
521C2×Q8—172no—
522C2×Q8—341no—
523C2×Q8—341no—
524C2×Q8—342no—
525C2×Q8—342no—
526C2×Q8—342no—
527C2×Q8—342no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—24no—
535C22×C4—82no—
536C22×C4—341no—
537C22×C4—341no—
538C22×C4—341no—
539C22×C4—341no—
540C22×C4C2×C22⋊D1712yes—
541C22×C4C2×C22⋊D1711yescharacteristic
542C22×C4C2×C22⋊D1711yescharacteristic
543C22×C4C2×C22⋊D1711yescharacteristic
544C22×C4C2×C22⋊D1711yescharacteristic
545C22×C4C2×C22⋊D1711yescharacteristic
546C22×C4C23×D1712yes—
547C22×C4C23×D1711yescharacteristic
548C2×C8—172no—
549C2×C8—172no—
550C2×C8—172no—
551C2×C8—172no—
552C2×C8—342no—
553C2×C8—342no—
554C2×C8—342no—
555C2×C8—342no—
556C4⋊C4—24no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—172no—
568C4⋊C4—172no—
569C4⋊C4—341no—
570C4⋊C4—341no—
571C4⋊C4—344no—
572C4⋊C4—344no—
573C4⋊C4—344no—
574C4⋊C4—344no—
575C4⋊C4—344no—
576C4⋊C4—344no—
577C4⋊C4—344no—
578C4⋊C4—344no—
579C4⋊C4C2×C22⋊D1714yes—
580C4⋊C4C2×C22⋊D1714yes—
581C4⋊C4C23×D1712yes—
582C4⋊C4C23×D1712yes—
583C4⋊C4C23×D1712yes—
584C4⋊C4C23×D1712yes—
585C22⋊C4—24no—
586C22⋊C4—344no—
587C22⋊C4—344no—
588C22⋊C4C2×C22⋊D1714yes—
589C22⋊C4C2×C22⋊D1714yes—
590C42—24no—
591C42—344no—
592C42—344no—
593C42C2×C22⋊D1712yes—
594C42C2×C22⋊D1712yes—
595C42C23×D1712yes—
596C42C23×D1712yes—
597C23—22no—
598C23—22no—
599C23—22no—
600C23C22×C22⋊D1712yes—
601C23C22×C22⋊D1711yescharacteristic
602Q8—84no—
603Q8—84no—
604Q8—342no—
605Q8—342no—
606Q8—342no—
607Q8—342no—
608Q8—682no—
609Q8—682no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—84no—
627C2×C4—342no—
628C2×C4—342no—
629C2×C4—342no—
630C2×C4—342no—
631C2×C4—682no—
632C2×C4—682no—
633C2×C4—682no—
634C2×C4—682no—
635C2×C4#1058769412yes—
636C2×C4#1058769412yes—
637C2×C4C22×C22⋊D1712yes—
638C2×C4C22×C22⋊D1712yes—
639C2×C4C22×C22⋊D1712yes—
640C2×C4C22×C22⋊D1712yes—
641C2×C4C22×C22⋊D1712yes—
642C2×C4C22×C22⋊D1711yescharacteristic
643C2×C4C24×D1711yescharacteristic
644C8—342no—
645C8—342no—
646C8—342no—
647C8—342no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—44no—
652C22#1176338312yes—
653C22#1176362012yes—
654C22#1176362412yes—
655C22C23×C22⋊D1711yescharacteristic
656C4—22no—
657C4—22no—
658C4—22no—
659C4—22no—
660C4—22no—
661C4—42no—
662C4—42no—
663C4—42no—
664C4—42no—
665C4—682no—
666C4—682no—
667C4—682no—
668C4—682no—
669C4#1176338312yes—
670C4C2×#1058769411yescharacteristic
671C4C2×#1058769411yescharacteristic
672C2—42no—
673C2#1454005214yesdirect product factor
674C2C2×#1176338311yescharacteristic
675C2C2×#1176362011yescharacteristic
676C2C2×#1176362411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#544C2
socleC23×C17C22×D4
prime radicalC24×C17C2×D4
hypercenterC2×#544D17
hypocenterC17C2×#3242
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#544

Complements

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

NH ≅ G/Ntype
2. #14540052C2direct (N × H)
3. C2×#11763215C2semidirect
4. C2×#11763208C2semidirect
5. C2×#11763179C2semidirect
6. C2×#11763161C2semidirect
11. C2×#11763113C2semidirect
12. C2×#11763113C2semidirect
13. C2×#11763101C2semidirect
14. C2×#11763091C2semidirect
29. #11763215C22semidirect
30. #11763208C22semidirect
31. #11763179C22semidirect
32. #11763161C22semidirect
37. #11763113C22semidirect
38. #11763113C22semidirect
39. #11763101C22semidirect
40. #11763091C22semidirect
411. C2×C17#3242semidirect
514. C17C2×#3242semidirect
673. C2#14540052direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117634212
#145400522
C2×#117632152
C2×#117632082
C2×#117631792
C2×#117631612
C2×#117631442
C2×#117631502
C2×#117631392
C2×#117631132
C2×#117631012
C2×#117630912
C2×#117628702
C2×C17×#5442
C2×#324217