Finite Group Databasebeta

← C2×#14542769 #17942515

Subgroups — C2×#14542769 #17942515

Order 4352.

7130 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542769C2132yesmaximal, direct product factor
2C2×#11763535C211yesmaximal, characteristic, complemented
3C2×#11763529C213yesmaximal, complemented
4C2×#11763514C213yesmaximal, complemented
5C2×#11763509C213yesmaximal, complemented
6C2×#11763494C213yesmaximal, complemented
7C2×Q8×D68C211yesmaximal, characteristic, complemented
8C2×#11763466C211yesmaximal, characteristic, complemented
9C2×#11763466C211yesmaximal, characteristic, complemented
10C2×#11763424C213yesmaximal, complemented
11C2×#11763421C213yesmaximal, complemented
12C2×#11763341C213yesmaximal, complemented
13C2×#11763337C213yesmaximal, complemented
14C2×#11763285C211yesmaximal, characteristic, complemented
15C2×C4×Q8×D17C211yesmaximal, characteristic, complemented
16C2×C17×#520C211yesmaximal, characteristic, complemented
17C22×Q8×D17C2211yescharacteristic
18C22×Q8×D17C2211yescharacteristic
19#11763535C22116yescomplemented
20#11763529C22148yescomplemented
21#11763514C22148yescomplemented
22#11763509C22148yescomplemented
23#11763494C22148yescomplemented
24Q8×D68C22116yescomplemented
25#11763466C22116yescomplemented
26#11763466C22116yescomplemented
27#11763424C22148yescomplemented
28#11763421C22148yescomplemented
29C2×#10587555C2213yes—
30C2×#10587574C2213yes—
31#11763341C22148yescomplemented
32#11763337C22148yescomplemented
33C2×#10587584C2213yes—
34C2×#10587565C2216yes—
35C2×#10587565C2216yes—
36C2×#10587565C2213yes—
37C2×#10587556C2213yes—
38C2×#10587576C2213yes—
39C2×#10587575C2213yes—
40C2×#10587575C2216yes—
41C2×#10587622C2213yes—
42C2×#10587622C2213yes—
43C2×#10587571C2213yes—
44C2×#10587580C2211yescharacteristic
45C2×#10587615C2216yes—
46C2×#10587569C2213yes—
47C2×#10587583C2213yes—
48C2×#10587583C2213yes—
49C2×#10587610C2213yes—
50C2×#10587610C2213yes—
51C2×#10587610C2216yes—
52C2×#10587582C2213yes—
53C2×#10587570C2213yes—
54C2×#10587624C2213yes—
55C2×#10587624C2213yes—
56#11763285C22116yescomplemented
57C2×Q8×Dic17C2211yescharacteristic
58C2×Q8×Dic17C2211yescharacteristic
59C2×C4×Dic34C2213yes—
60C2×C4×Dic34C2213yes—
61C2×C4×Dic34C2213yes—
62C2×#10587573C2213yes—
63C2×#10587573C2213yes—
64C4×Q8×D17C22116yescomplemented
65C2×C4×D68C2213yes—
66C2×C4×C22⋊D17C2213yes—
67C2×C4×C22⋊D17C2213yes—
68C2×C4×C22⋊D17C2216yes—
69C2×#10587612C2216yes—
70C2×#10587578C2213yes—
71C2×#10587558C2213yes—
72C2×C4⋊C4×D17C2213yes—
73C2×C42×D17C2213yes—
74C22×#41×C17C2211yescharacteristic
75C17×#520C22116yescomplemented
76C2×C4×Q8×C17C2211yescharacteristic
77C2×C4×Q8×C17C2211yescharacteristic
78C2×C4×D4×C17C2213yes—
79C2×C4×D4×C17C2213yes—
80C2×C17×#117C2213yes—
81C22×C4⋊C4×C17C2213yes—
82C2×#41×C17—28no—
83C2×#41×C17C2318yes—
84C22×Q8×C17C2311yescharacteristic
85C22×D4×C17C2313yes—
86C23×C4×C17C2313yes—
87C23×C4×C17C2316yes—
88C22×C22⋊D17C2313yes—
89C22×C22⋊D17C2313yes—
90C2×Q8×D17—28no—
91C2×Q8×D17—28no—
92C2×Q8×D17C2318yes—
93C2×Q8×D17C2318yes—
94C22×D68C2311yescharacteristic
95C22×C4×D17C2311yescharacteristic
96C22×C4×D17C2313yes—
97C22×C4×D17C2313yes—
98C22×C4×D17C2313yes—
99C22×Dic34C2313yes—
100C22×Dic34C2313yes—
101C22×Dic34C2313yes—
102C4×Q8×C17C2318yes—
103C4×Q8×C17C2318yes—
104C4×D4×C17C23124yes—
105C4×D4×C17C23124yes—
106C17×#117C23124yes—
107C2×C4⋊C4×C17C2313yes—
108C2×C4⋊C4×C17C2313yes—
109C2×C4⋊C4×C17C2313yes—
110C2×C4⋊C4×C17C23124yes—
111C2×C4⋊C4×C17C2311yescharacteristic
112C2×C22⋊C4×C17C2313yes—
113C2×C22⋊C4×C17C2313yes—
114C2×C42×C17C2313yes—
115C2×C42×C17C2313yes—
116C2×C22⋊Dic17C2313yes—
117C2×C22⋊Dic17C2316yes—
118C2×C22⋊Dic17C2316yes—
119C2×C22⋊Dic17C2313yes—
120Q8×Dic17C2318yes—
121Q8×Dic17C2318yes—
122#10587624C23124yes—
123#10587624C23124yes—
124#10587622C23124yes—
125#10587622C23124yes—
126#10587615C23148yes—
127C4×C22⋊D17C23124yes—
128C4×C22⋊D17C23124yes—
129C4×C22⋊D17C23148yes—
130C2×#63227C2311yescharacteristic
131C2×#63227C2313yes—
132C2×#63227C2311yescharacteristic
133C2×#63227C2311yescharacteristic
134C2×#63227C2313yes—
135C2×#63227C2313yes—
136#10587612C23148yes—
137C2×C4⋊Dic17C2313yes—
138C2×C4⋊Dic17C2313yes—
139C2×C4⋊Dic17C2313yes—
140C2×C4⋊Dic17C2316yes—
141C2×C4⋊Dic17C2313yes—
142#10587610C23124yes—
143#10587610C23124yes—
144#10587610C23148yes—
145C2×#63225C2316yes—
146C2×#63225C2313yes—
147C2×#63225C2313yes—
148C2×#63225C2313yes—
149C2×#63225C2313yes—
150C2×#63225C2316yes—
151C2×#63225C2311yescharacteristic
152C2×#63225C2313yes—
153C2×C4×Dic17C2313yes—
154C2×C4×Dic17C2313yes—
155C2×C4×Dic17C2313yes—
156C2×C4×Dic17C2313yes—
157C2×C4×Dic17C2316yes—
158#10587584C23124yes—
159#10587583C23124yes—
160#10587583C23124yes—
161#10587582C23124yes—
162#10587580C2318yes—
163#10587578C23124yes—
164C4⋊C4×D17C23124yes—
165#10587576C23124yes—
166#10587575C23148yes—
167#10587575C23124yes—
168#10587574C23124yes—
169#10587573C23124yes—
170#10587573C23124yes—
171#10587571C23124yes—
172#10587570C23124yes—
173#10587569C23124yes—
174#10587565C23148yes—
175#10587565C23124yes—
176#10587565C23148yes—
177C4×D68C23124yes—
178#10587558C23124yes—
179C42×D17C23124yes—
180#10587556C23124yes—
181#10587555C23124yes—
182C4×Dic34C23124yes—
183C4×Dic34C23124yes—
184C4×Dic34C23124yes—
185C24×C17C2413yes—
186C23×D17C2411yescharacteristic
187C23×D17C2411yescharacteristic
188#41×C17—232no—
189C2×Q8×C17#4118yes—
190C2×Q8×C17C2414yes—
191C2×D4×C17—212no—
192C2×D4×C17C24112yes—
193C22×C4×C17—212no—
194C22×C4×C17—412no—
195C22×C4×C17C2413yes—
196C22×C4×C17C2413yes—
197C22×C4×C17C2411yescharacteristic
198C22×C4×C17C2411yescharacteristic
199C22×C4×C17C2411yescharacteristic
200C22×C4×C17C24112yes—
201C22×C4×C17C24124yes—
202C22×C4×C17C2413yes—
203C2×C22⋊D17—212no—
204C2×C22⋊D17—46no—
205C2×C22⋊D17C24112yes—
206C2×C22⋊D17C24112yes—
207C22×Dic17C2411yescharacteristic
208C22×Dic17C2413yes—
209C22×Dic17C2413yes—
210C22×Dic17C2413yes—
211C22×Dic17C2411yescharacteristic
212C22×Dic17C2413yes—
213Q8×D17—232no—
214Q8×D17—232no—
215C2×D68—24no—
216C2×D68C2414yes—
217C2×C4×D17—24no—
218C2×C4×D17—212no—
219C2×C4×D17—212no—
220C2×C4×D17—46no—
221C2×C4×D17C24112yes—
222C2×C4×D17C24112yes—
223C2×C4×D17C2414yes—
224C2×C4×D17C24112yes—
225C2×Dic34—212no—
226C2×Dic34—212no—
227C2×Dic34—46no—
228C2×Dic34C24112yes—
229C2×Dic34C24112yes—
230C2×Dic34C24112yes—
231C4⋊C4×C17C24112yes—
232C4⋊C4×C17C24112yes—
233C4⋊C4×C17C2414yes—
234C4⋊C4×C17C24112yes—
235C22⋊C4×C17C24112yes—
236C22⋊C4×C17C24112yes—
237C42×C17C24112yes—
238C42×C17C24112yes—
239C22⋊Dic17C24124yes—
240C22⋊Dic17C24124yes—
241C22⋊Dic17C24112yes—
242C22⋊Dic17C24112yes—
243#63227C2414yes—
244#63227C24112yes—
245#63227C24112yes—
246#63227C24112yes—
247#63227C2414yes—
248#63227C2414yes—
249C4⋊Dic17C24112yes—
250C4⋊Dic17C24112yes—
251C4⋊Dic17C24112yes—
252C4⋊Dic17C24112yes—
253C4⋊Dic17C24124yes—
254#63225C2414yes—
255#63225C24112yes—
256#63225C24112yes—
257#63225C24124yes—
258#63225C24124yes—
259#63225C24112yes—
260#63225C24112yes—
261#63225C24112yes—
262C4×Dic17C24112yes—
263C4×Dic17C24112yes—
264C4×Dic17C24112yes—
265C4×Dic17C24124yes—
266C4×Dic17C24112yes—
267C2×#3516—171nomaximal, Sylow
268C23×C17—26no—
269C23×C17—26no—
270C23×C17—26no—
271C23×C17C2516yes—
272C23×C17C2511yescharacteristic
273C22×D17—22no—
274C22×D17—22no—
275C22×D17—22no—
276C22×D17—22no—
277C22×D17—22no—
278C22×D172−1+414yes—
279C22×D17C2512yes—
280C22×D17C2512yes—
281Q8×C17C2×#41116yes—
282D4×C17—224no—
283C2×C4×C17—22no—
284C2×C4×C17—22no—
285C2×C4×C17—22no—
286C2×C4×C17—26no—
287C2×C4×C17—26no—
288C2×C4×C17—224no—
289C2×C4×C17—424no—
290C2×C4×C17C2×#41112yes—
291C2×C4×C17C2512yes—
292C2×C4×C17C2512yes—
293C2×C4×C17C2516yes—
294C2×C4×C17C2516yes—
295C2×C4×C17C2512yes—
296C2×C4×C17C2516yes—
297C22⋊D17—224no—
298C22⋊D17—412no—
299C2×Dic17—26no—
300C2×Dic17—26no—
301C2×Dic17—22no—
302C2×Dic17—26no—
303C2×Dic17—22no—
304C2×Dic17—26no—
305C2×Dic17C2512yes—
306C2×Dic17C2516yes—
307C2×Dic17C2516yes—
308C2×Dic17C2512yes—
309C2×Dic17C2516yes—
310C2×Dic17C2516yes—
311D68—28no—
312C4×D17—28no—
313C4×D17—224no—
314C4×D17—224no—
315C4×D17—412no—
316Dic34—224no—
317Dic34—224no—
318Dic34—412no—
319#3516—1732no—
320C2×#557—171no—
321C2×#556—173no—
322C2×#554—173no—
323C2×#553—173no—
324C2×#552—173no—
325C2×D4×Q8—171no—
326C2×#548—171no—
327C2×#548—171no—
328C2×#542—173no—
329C2×#541—173no—
330C2×#529—173no—
331C2×#529—173no—
332C2×#520D1711yescharacteristic, complemented
333C2×#519—171no—
334C22×C4×Q8—171no—
335C22×C17—26no—
336C22×C17—26no—
337C22×C17—26no—
338C22×C17—412no—
339C22×C17C22×#4112yes—
340C22×C17C2×2−1+412yes—
341C22×C17#58512yes—
342C22×C17C2611yescharacteristic
343C2×D17—22no—
344C2×D17—22no—
345C2×D17—28no—
346C2×D17—22no—
347C2×D17—22no—
348C2×D17—22no—
349C2×D17—44no—
350C2×D17C2×2−1+414yes—
351C4×C17—22no—
352C4×C17—22no—
353C4×C17—22no—
354C4×C17—26no—
355C4×C17—26no—
356C4×C17C22×#41112yes—
357Dic17—26no—
358Dic17—26no—
359Dic17—22no—
360Dic17—26no—
361Dic17—22no—
362Dic17—26no—
363C22×#41C2×D1711yescharacteristic
364C23×Q8—171no—
365C23×Q8—171no—
366#557—1716no—
367#556—1748no—
368#554—1748no—
369#553—1748no—
370#552—1748no—
371D4×Q8—1716no—
372#548—1716no—
373#548—1716no—
374#542—1748no—
375#541—1748no—
376C2×C4⋊Q8—173no—
377C2×C4⋊Q8—173no—
378#529—1748no—
379#529—1748no—
380C2×#126—173no—
381C2×#126—176no—
382C2×#126—173no—
383C2×#126—176no—
384C2×#125—173no—
385C2×#125—173no—
386C2×#125—176no—
387C2×#125—173no—
388C2×#124—173no—
389C2×#124—173no—
390C2×#124—173no—
391C2×#123—176no—
392C2×#123—171no—
393C2×#123—173no—
394C2×C22⋊Q8—173no—
395C2×C22⋊Q8—173no—
396C2×C22⋊Q8—176no—
397C2×C22⋊Q8—173no—
398C2×C22⋊Q8—173no—
399C2×C22⋊Q8—173no—
400C2×#121—173no—
401C2×#121—173no—
402C2×#121—173no—
403#520C2×D17116yescomplemented
404#519—1716no—
405C2×C4×Q8—171no—
406C2×C4×Q8—171no—
407C2×C4×Q8—1716no—
408C2×C4×Q8—173no—
409C2×C4×Q8—173no—
410C2×C4×Q8—173no—
411C2×C4×Q8—173no—
412C2×C4×Q8—173no—
413C2×C4×Q8C2×D1711yescharacteristic
414C2×C4×Q8C2×D1711yescharacteristic
415C2×C4×D4—173no—
416C2×C4×D4—173no—
417C2×C4×D4—176no—
418C2×C4×D4—173no—
419C2×C4×D4C2×D1713yes—
420C2×C4×D4C2×D1713yes—
421C2×#117—176no—
422C2×#117—173no—
423C2×#117—173no—
424C2×#117C2×D1713yes—
425C22×C4⋊C4—173no—
426C22×C4⋊C4C2×D1713yes—
427C22×C42—173no—
428C2×C17—46no—
429C2×C17#351614yescomplemented
430C2×C17C23×#4111yescharacteristic
431C2×C17C22×2−1+411yescharacteristic
432C2×C17C2×#58511yescharacteristic
433D17—24no—
434D17—42no—
435C2×#41—28no—
436C2×#41C22×D1718yes—
437C22×Q8—178no—
438C22×Q8—178no—
439C22×Q8—173no—
440C22×Q8—173no—
441C22×Q8—173no—
442C22×Q8—348no—
443C22×Q8—348no—
444C22×Q8C22×D1711yescharacteristic
445C22×D4—173no—
446C22×D4—173no—
447C22×D4—171no—
448C22×D4C22×D1713yes—
449C23×C4—173no—
450C23×C4—173no—
451C23×C4—171no—
452C23×C4—173no—
453C23×C4C22×D1713yes—
454C23×C4C22×D1716yes—
455C4⋊Q8—1724no—
456C4⋊Q8—1724no—
457#126—1724no—
458#126—1748no—
459#126—1724no—
460#126—1748no—
461#125—1724no—
462#125—1724no—
463#125—1748no—
464#125—1724no—
465#124—1724no—
466#124—1724no—
467#124—1724no—
468#123—1748no—
469#123—178no—
470#123—1724no—
471C22⋊Q8—1724no—
472C22⋊Q8—1724no—
473C22⋊Q8—1748no—
474C22⋊Q8—1724no—
475C22⋊Q8—1724no—
476C22⋊Q8—1724no—
477#121—1724no—
478#121—1724no—
479#121—1724no—
480C4×Q8—178no—
481C4×Q8—178no—
482C4×Q8—1724no—
483C4×Q8—1724no—
484C4×Q8—1724no—
485C4×Q8—1724no—
486C4×Q8—1724no—
487C4×Q8C22×D1718yes—
488C4×Q8C22×D1718yes—
489C4×D4—1724no—
490C4×D4—1724no—
491C4×D4—1748no—
492C4×D4—1724no—
493C4×D4C22×D17124yes—
494C4×D4C22×D17124yes—
495#117—1748no—
496#117—1724no—
497#117—1724no—
498#117C22×D17124yes—
499C2×C4⋊C4—173no—
500C2×C4⋊C4—176no—
501C2×C4⋊C4—173no—
502C2×C4⋊C4—173no—
503C2×C4⋊C4—173no—
504C2×C4⋊C4—173no—
505C2×C4⋊C4—176no—
506C2×C4⋊C4—173no—
507C2×C4⋊C4—173no—
508C2×C4⋊C4—176no—
509C2×C4⋊C4—173no—
510C2×C4⋊C4—171no—
511C2×C4⋊C4—173no—
512C2×C4⋊C4—1724no—
513C2×C4⋊C4C22×D1713yes—
514C2×C4⋊C4C22×D1713yes—
515C2×C4⋊C4C22×D1713yes—
516C2×C4⋊C4C22×D17124yes—
517C2×C4⋊C4C22×D1711yescharacteristic
518C2×C22⋊C4—173no—
519C2×C22⋊C4—176no—
520C2×C22⋊C4—176no—
521C2×C22⋊C4—173no—
522C2×C22⋊C4—173no—
523C2×C22⋊C4—171no—
524C2×C22⋊C4—171no—
525C2×C22⋊C4—173no—
526C2×C22⋊C4—171no—
527C2×C22⋊C4—173no—
528C2×C22⋊C4C22×D1713yes—
529C2×C22⋊C4C22×D1713yes—
530C2×C42—176no—
531C2×C42—173no—
532C2×C42—173no—
533C2×C42—173no—
534C2×C42—173no—
535C2×C42—1724no—
536C2×C42C22×D1713yes—
537C2×C42C22×D1713yes—
538C17C2×#351611yescharacteristic, complemented, Sylow
539C24—171no—
540C24—171no—
541C24C23×D1713yes—
542#41—232no—
543C2×Q8—1712no—
544C2×Q8—1712no—
545C2×Q8—1712no—
546C2×Q8—3432no—
547C2×Q8—3432no—
548C2×Q8—3412no—
549C2×Q8—3412no—
550C2×Q8—686no—
551C2×Q8#6325218yes—
552C2×Q8C23×D1714yes—
553C2×D4—212no—
554C2×D4—1712no—
555C2×D4—1712no—
556C2×D4—174no—
557C2×D4—344no—
558C2×D4—3412no—
559C2×D4—686no—
560C2×D4C23×D17112yes—
561C22×C4—212no—
562C22×C4—412no—
563C22×C4—171no—
564C22×C4—171no—
565C22×C4—173no—
566C22×C4—173no—
567C22×C4—173no—
568C22×C4—173no—
569C22×C4—174no—
570C22×C4—1712no—
571C22×C4—1712no—
572C22×C4—1712no—
573C22×C4—344no—
574C22×C4—3412no—
575C22×C4—3412no—
576C22×C4—686no—
577C22×C4C23×D17112yes—
578C22×C4C23×D1711yescharacteristic
579C22×C4C23×D1713yes—
580C22×C4C23×D1711yescharacteristic
581C22×C4C23×D1713yes—
582C22×C4C23×D1711yescharacteristic
583C22×C4C23×D17124yes—
584C22×C4C23×D1713yes—
585C4⋊C4—1712no—
586C4⋊C4—1724no—
587C4⋊C4—1712no—
588C4⋊C4—1712no—
589C4⋊C4—1712no—
590C4⋊C4—1712no—
591C4⋊C4—1724no—
592C4⋊C4—1712no—
593C4⋊C4—1712no—
594C4⋊C4—1724no—
595C4⋊C4—1712no—
596C4⋊C4—174no—
597C4⋊C4—1712no—
598C4⋊C4C23×D17112yes—
599C4⋊C4C23×D17112yes—
600C4⋊C4C23×D17112yes—
601C4⋊C4C23×D1714yes—
602C22⋊C4—1712no—
603C22⋊C4—1724no—
604C22⋊C4—1724no—
605C22⋊C4—1712no—
606C22⋊C4—1712no—
607C22⋊C4—174no—
608C22⋊C4—174no—
609C22⋊C4—1712no—
610C22⋊C4—174no—
611C22⋊C4—1712no—
612C22⋊C4C23×D17112yes—
613C22⋊C4C23×D17112yes—
614C42—1712no—
615C42—1712no—
616C42—1712no—
617C42—1724no—
618C42—1712no—
619C42C23×D17112yes—
620C42C23×D17112yes—
621C23—26no—
622C23—26no—
623C23—26no—
624C23—174no—
625C23—172no—
626C23—172no—
627C23—342no—
628C23—342no—
629C23—342no—
630C23—342no—
631C23—342no—
632C23C24×D1716yes—
633C23C24×D1711yescharacteristic
634Q8—3424no—
635Q8—3424no—
636Q8—6812no—
637Q8C2×#63252116yes—
638D4—224no—
639D4—348no—
640D4—3424no—
641D4—6812no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—26no—
646C2×C4—26no—
647C2×C4—224no—
648C2×C4—424no—
649C2×C4—172no—
650C2×C4—172no—
651C2×C4—176no—
652C2×C4—176no—
653C2×C4—176no—
654C2×C4—176no—
655C2×C4—348no—
656C2×C4—346no—
657C2×C4—346no—
658C2×C4—342no—
659C2×C4—346no—
660C2×C4—346no—
661C2×C4—342no—
662C2×C4—3424no—
663C2×C4—3424no—
664C2×C4—6812no—
665C2×C4C2×#63252112yes—
666C2×C4C24×D1712yes—
667C2×C4C24×D1716yes—
668C2×C4C24×D1712yes—
669C2×C4C24×D1716yes—
670C2×C4C24×D1712yes—
671C2×C4C24×D1716yes—
672C22—26no—
673C22—26no—
674C22—26no—
675C22—412no—
676C22—174no—
677C22—348no—
678C22—342no—
679C22—342no—
680C22—342no—
681C22—342no—
682C22—342no—
683C22—684no—
684C22C22×#6325212yes—
685C222−1+4×D1712yes—
686C22#1176364412yes—
687C22C25×D1711yescharacteristic
688C4—22no—
689C4—22no—
690C4—22no—
691C4—26no—
692C4—26no—
693C4—346no—
694C4—346no—
695C4—342no—
696C4—346no—
697C4—346no—
698C4—342no—
699C4C22×#63252112yes—
700C2—46no—
701C2—344no—
702C2—682no—
703C2#1454276914yesdirect product factor
704C2C23×#6325211yescharacteristic
705C2C2×2−1+4×D1711yescharacteristic
706C2C2×#1176364411yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#520C2
socleC23×C17C25
hypercenterC2×#520D17
hypocenterC17C2×#3516
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#520

Complements

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

NH ≅ G/Ntype
1. #14542769C2direct (N × H)
2. C2×#11763535C2semidirect
3. C2×#11763529C2semidirect
4. C2×#11763514C2semidirect
5. C2×#11763509C2semidirect
6. C2×#11763494C2semidirect
7. C2×Q8×D68C2semidirect
8. C2×#11763466C2semidirect
9. C2×#11763466C2semidirect
10. C2×#11763424C2semidirect
11. C2×#11763421C2semidirect
12. C2×#11763341C2semidirect
13. C2×#11763337C2semidirect
14. C2×#11763285C2semidirect
15. C2×C4×Q8×D17C2semidirect
16. C2×C17×#520C2semidirect
19. #11763535C22semidirect
20. #11763529C22semidirect
21. #11763514C22semidirect
22. #11763509C22semidirect
23. #11763494C22semidirect
24. Q8×D68C22semidirect
25. #11763466C22semidirect
26. #11763466C22semidirect
27. #11763424C22semidirect
28. #11763421C22semidirect
31. #11763341C22semidirect
32. #11763337C22semidirect
56. #11763285C22semidirect
64. C4×Q8×D17C22semidirect
75. C17×#520C22semidirect
332. C2×#520D17semidirect
403. #520C2×D17semidirect
429. C2×C17#3516semidirect
538. C17C2×#3516semidirect
703. C2#14542769direct (N × H)

Maximal subgroups

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

subgroupindex
#145427692
C2×#117635352
C2×#117635292
C2×#117635142
C2×#117635092
C2×#117634942
C2×Q8×D682
C2×#117634662
C2×#117634242
C2×#117634212
C2×#117633412
C2×#117633372
C2×#117632852
C2×C4×Q8×D172
C2×C17×#5202
C2×#351617