Finite Group Databasebeta

← C2×#21435365 #29460895

Subgroups — C2×#21435365 #29460895

Order 15104.

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×#16838029C211yesmaximal, characteristic
2C2×#16838015C211yesmaximal, characteristic
3#21435365C2116yesmaximal, direct product factor
4C2×#16837801C211yesmaximal, characteristic, complemented
5C2×#16837771C211yesmaximal, characteristic, complemented
6C2×#16837754C211yesmaximal, characteristic, complemented
7C2×#16837739C211yesmaximal, characteristic
8C2×#16837746C211yesmaximal, characteristic
9C2×#16837745C211yesmaximal, characteristic
10C2×#16837734C211yesmaximal, characteristic
11C2×#16837712C211yesmaximal, characteristic, complemented
12C2×#16837708C211yesmaximal, characteristic, complemented
13C2×#16837696C211yesmaximal, characteristic, complemented
14C2×#16837686C211yesmaximal, characteristic, complemented
15C2×#16837464C211yesmaximal, characteristic
16C2×C59×#501C211yesmaximal, characteristic, complemented
17#16838029—24no—
18#16838029C2218yes—
19#16838015—24no—
20#16838015C2218yes—
21C2×#14273727C2211yescharacteristic
22C2×#14273726C2211yescharacteristic
23C2×#14273725—21no—
24C2×#14273722—21no—
25C2×#14273722—21no—
26C2×#14273719C2211yescharacteristic
27C2×#14273718—21no—
28C2×#14273718—21no—
29C2×#14273718C2211yescharacteristic
30C2×#14273717—21no—
31C2×#14273707C2211yescharacteristic
32C2×#14273707C2211yescharacteristic
33C2×#14273705—21no—
34C2×#14273703—21no—
35C2×#14273692C2211yescharacteristic
36C2×#14273692C2211yescharacteristic
37C2×#14273685C2211yescharacteristic
38C2×#14273684C2211yescharacteristic
39C2×C4⋊C4×D59C2211yescharacteristic
40#16837801C2218yescomplemented
41#16837771C2218yescomplemented
42#16837754C2218yescomplemented
43#16837746C2218yes—
44#16837745C2218yes—
45#16837739C2218yes—
46#16837734C2218yes—
47#16837712C2218yescomplemented
48#16837708C2218yescomplemented
49#16837696C2218yescomplemented
50#16837686C2218yescomplemented
51#16837464C2218yes—
52C2×#14273660C2211yescharacteristic
53C2×#14273660C2211yescharacteristic
54C2×#14273658C2211yescharacteristic
55C2×#14273658C2211yescharacteristic
56C2×Dic59⋊C8C2211yescharacteristic
57C2×Dic59⋊C8C2211yescharacteristic
58C2×#14273652C2211yescharacteristic
59C2×#14273652C2211yescharacteristic
60C2×#14273652C2211yescharacteristic
61C2×#14273652C2211yescharacteristic
62C2×#14273650C2211yescharacteristic
63C2×#14273650C2211yescharacteristic
64C2×#14273650C2211yescharacteristic
65C2×#14273650C2211yescharacteristic
66C2×(C2×D59)⋊C8C2211yescharacteristic
67C2×(C2×D59)⋊C8C2211yescharacteristic
68C2×C4×C59⋊C8C2211yescharacteristic
69C2×C4⋊Q8×C59C2211yescharacteristic
70C2×#125×C59C2211yescharacteristic
71C59×#501C2218yescomplemented
72C2×#107×C59C2211yescharacteristic
73C2×#107×C59C2211yescharacteristic
74C2×#106×C59C2211yescharacteristic
75C2×#106×C59C2211yescharacteristic
76C2×#97×C59C2211yescharacteristic
77C22×Dic118—21no—
78C22×Dic118C2311yescharacteristic
79C22×Dic118C2311yescharacteristic
80C22×C4×D59—21no—
81C22×C4×D59C2311yescharacteristic
82C22×C59⋊C8C2311yescharacteristic
83C22×C59⋊C8C2311yescharacteristic
84#14273727—22no—
85#14273727C2314yes—
86#14273726—22no—
87#14273726C2314yes—
88#14273725—28no—
89#14273722—28no—
90#14273722—28no—
91#14273719—22no—
92#14273719C2314yes—
93#14273718—28no—
94#14273718—28no—
95#14273718—22no—
96#14273718C2314yes—
97#14273717—28no—
98#14273707—22no—
99#14273707—22no—
100#14273707C2314yes—
101#14273707C2314yes—
102#14273705—28no—
103#14273703—28no—
104#14273692—22no—
105#14273692—22no—
106#14273692C2314yes—
107#14273692C2314yes—
108#14273685—22no—
109#14273685C2314yes—
110#14273684D414yes—
111#14273684C2314yes—
112C2×C4⋊Dic59—21no—
113C2×C4⋊Dic59—21no—
114C2×C4⋊Dic59—21no—
115C2×C4⋊Dic59—21no—
116C2×C4⋊Dic59—21no—
117C2×C4⋊Dic59C2311yescharacteristic
118C2×C4⋊Dic59C2311yescharacteristic
119C2×Dic59⋊C4—21no—
120C2×Dic59⋊C4—21no—
121C2×Dic59⋊C4—21no—
122C2×Dic59⋊C4—21no—
123C2×Dic59⋊C4—21no—
124C2×Dic59⋊C4—21no—
125C2×Dic59⋊C4—21no—
126C2×Dic59⋊C4D411yescharacteristic
127C2×Dic59⋊C4D411yescharacteristic
128C4⋊C4×D59—22no—
129C4⋊C4×D59C2314yes—
130C2×(C2×D59)⋊C4—21no—
131C2×(C2×D59)⋊C4—21no—
132C2×(C2×D59)⋊C4—21no—
133C2×(C2×D59)⋊C4D411yescharacteristic
134C2×(C2×D59)⋊C4D411yescharacteristic
135C2×C4×Dic59—21no—
136C2×C4×Dic59—21no—
137C2×C4×Dic59—21no—
138C2×C4×Dic59C2311yescharacteristic
139#14273660C2314yes—
140#14273660C2314yes—
141#14273658C2314yes—
142#14273658C2314yes—
143Dic59⋊C8C2314yes—
144Dic59⋊C8C2314yes—
145#14273652C2314yes—
146#14273652C2314yes—
147#14273652C2314yes—
148#14273652C2314yes—
149#14273650C2314yes—
150#14273650C2314yes—
151#14273650C2314yes—
152#14273650C2314yes—
153(C2×D59)⋊C8C2314yes—
154(C2×D59)⋊C8C2314yes—
155C4×C59⋊C8C2314yes—
156C22×Q8×C59—21no—
157C22×C8×C59C2311yescharacteristic
158C22×C8×C59C2311yescharacteristic
159C4⋊Q8×C59—22no—
160C4⋊Q8×C59C2314yes—
161#125×C59—22no—
162#125×C59C2314yes—
163C2×C4⋊C4×C59—21no—
164C2×C4⋊C4×C59—21no—
165C2×C4⋊C4×C59—21no—
166C2×C4⋊C4×C59C2311yescharacteristic
167C2×C4⋊C4×C59C2311yescharacteristic
168C2×C4⋊C4×C59C2311yescharacteristic
169C2×C4⋊C4×C59C2311yescharacteristic
170C2×C42×C59C2311yescharacteristic
171#107×C59C2314yes—
172#107×C59C2314yes—
173#106×C59C2314yes—
174#106×C59C2314yes—
175#97×C59C2314yes—
176C23×D59C2×D411yescharacteristic
177C2×Q8×C59—24no—
178C2×Q8×C59—82no—
179C22×C4×C59—21no—
180C22×C4×C59—21no—
181C22×C4×C59—21no—
182C22×C4×C59—21no—
183C22×C4×C59C2×D411yescharacteristic
184C22×C4×C59C2×D411yescharacteristic
185C22×C4×C59C2411yescharacteristic
186C22×Dic59—21no—
187C22×Dic59—21no—
188C22×Dic59—21no—
189C22×Dic59—21no—
190C22×Dic59C2×D411yescharacteristic
191C22×Dic59C2×D411yescharacteristic
192C22×Dic59C2×D411yescharacteristic
193C2×C4×D59—22no—
194C2×C4×D59—22no—
195C2×C4×D59—24no—
196C2×C4×D59—82no—
197C2×C4×D59C2×D412yes—
198C2×C4×D59C2412yes—
199C2×Dic118—22no—
200C2×Dic118—22no—
201C2×Dic118—22no—
202C2×Dic118—22no—
203C2×Dic118—21no—
204C2×Dic118—21no—
205C2×Dic118—24no—
206C2×Dic118—82no—
207C2×Dic118C2412yes—
208C2×Dic118C2412yes—
209C2×C8×C59—22no—
210C2×C8×C59—22no—
211C2×C8×C59C2412yes—
212C2×C8×C59C2412yes—
213C4⋊C4×C59—24no—
214C4⋊C4×C59—24no—
215C4⋊C4×C59—24no—
216C4⋊C4×C59—21no—
217C4⋊C4×C59—21no—
218C4⋊C4×C59—21no—
219C4⋊C4×C59—21no—
220C4⋊C4×C59C2412yes—
221C4⋊C4×C59C2412yes—
222C4⋊C4×C59C2412yes—
223C4⋊C4×C59C2412yes—
224C42×C59C2×D412yes—
225C42×C59C2412yes—
226(C2×D59)⋊C4—24no—
227(C2×D59)⋊C4—24no—
228(C2×D59)⋊C4—24no—
229(C2×D59)⋊C4C2×D414yes—
230(C2×D59)⋊C4C2×D414yes—
231C4⋊Dic59—21no—
232C4⋊Dic59—24no—
233C4⋊Dic59—24no—
234C4⋊Dic59—21no—
235C4⋊Dic59—24no—
236C4⋊Dic59—24no—
237C4⋊Dic59—24no—
238C4⋊Dic59C2412yes—
239C4⋊Dic59C2412yes—
240Dic59⋊C4—24no—
241Dic59⋊C4—24no—
242Dic59⋊C4—24no—
243Dic59⋊C4—24no—
244Dic59⋊C4—24no—
245Dic59⋊C4—24no—
246Dic59⋊C4—24no—
247Dic59⋊C4C2×D414yes—
248Dic59⋊C4C2×D414yes—
249C4×Dic59—24no—
250C4×Dic59—24no—
251C4×Dic59—24no—
252C4×Dic59C2×D412yes—
253C4×Dic59C2412yes—
254C2×C59⋊C8—22no—
255C2×C59⋊C8—22no—
256C2×C59⋊C8C2412yes—
257C2×C59⋊C8C2412yes—
258C23×C59C22×D411yescharacteristic
259C22×D59—22no—
260C22×D59—22no—
261C22×D59—22no—
262C22×D59C22×D412yes—
263Q8×C59—84no—
264C2×C4×C59—22no—
265C2×C4×C59—22no—
266C2×C4×C59—22no—
267C2×C4×C59—22no—
268C2×C4×C59—22no—
269C2×C4×C59—22no—
270C2×C4×C59—42no—
271C2×C4×C59—42no—
272C2×C4×C59—42no—
273C2×C4×C59—42no—
274C2×C4×C59C22×D412yes—
275C2×C4×C59C22×D412yes—
276C2×C4×C59C22×D411yescharacteristic
277C2×C4×C592−1+412yes—
278C2×C4×C592−1+412yes—
279C2×C4×C59C2511yescharacteristic
280C2×Dic59—22no—
281C2×Dic59—22no—
282C2×Dic59—22no—
283C2×Dic59—22no—
284C2×Dic59—22no—
285C2×Dic59—22no—
286C2×Dic59—22no—
287C2×Dic59—42no—
288C2×Dic59—42no—
289C2×Dic59—42no—
290C2×Dic59—42no—
291C2×Dic59C22×D412yes—
292C2×Dic59C22×D412yes—
293C2×Dic59C22×D412yes—
294C4×D59—24no—
295C4×D59—22no—
296C4×D59—22no—
297C4×D59—84no—
298Dic118—22no—
299Dic118—22no—
300Dic118—22no—
301Dic118—22no—
302Dic118—42no—
303Dic118—42no—
304Dic118—84no—
305C8×C59—22no—
306C8×C59—22no—
307C59⋊C8—22no—
308C59⋊C8—22no—
309C2×#3242—591nomaximal, Sylow
310C22×C59#53612yes—
311C22×C59#57712yes—
312C22×C59#57812yes—
313C22×C59C23×D411yescharacteristic
314C2×D59—22no—
315C2×D59—22no—
316C2×D59—22no—
317C2×D59—44no—
318C4×C59—22no—
319C4×C59—22no—
320C4×C59—42no—
321C4×C59—42no—
322C4×C59—42no—
323C4×C59—42no—
324C4×C59#53612yes—
325C4×C59C2×2−1+411yescharacteristic
326C4×C59C2×2−1+411yescharacteristic
327Dic59—22no—
328Dic59—22no—
329Dic59—22no—
330Dic59—42no—
331Dic59—42no—
332Dic59—42no—
333Dic59—42no—
334C2×#544—591no—
335C2×#541—591no—
336#3242—5916no—
337C2×#501D5911yescharacteristic, complemented
338C2×#499—591no—
339C2×#491—591no—
340C2×#487—591no—
341C2×#484—591no—
342C2×#485—591no—
343C2×#485—591no—
344C2×#483—591no—
345C2×#479—591no—
346C2×#479—591no—
347C2×#477—591no—
348C2×#475—591no—
349C2×#433—591no—
350C2×C59#324214yescomplemented
351C2×C59C2×#53611yescharacteristic
352C2×C59C2×#57711yescharacteristic
353C2×C59C2×#57811yescharacteristic
354D59—42no—
355#544—598no—
356#544—1184no—
357#541—598no—
358#541—1184no—
359C2×C4⋊Q8—591no—
360C2×C4⋊Q8—591no—
361C2×C4⋊Q8—1181no—
362C2×C4⋊Q8C2×D5911yescharacteristic
363C2×#126—1181no—
364C2×#126—1181no—
365C2×#125—591no—
366C2×#125—591no—
367C2×#125—1181no—
368C2×#125—1181no—
369C2×#125—1181no—
370C2×#125C2×D5911yescharacteristic
371C2×C22⋊Q8—591no—
372C2×C22⋊Q8—591no—
373C2×C22⋊Q8—1181no—
374C2×C22⋊Q8—1181no—
375C2×C4×Q8—591no—
376C2×C4×Q8—591no—
377C2×#117—591no—
378C2×#117—591no—
379C22×C4⋊C4—591no—
380#501C2×D5918yescomplemented
381#499—598no—
382#491—598no—
383#487—598no—
384#485—598no—
385#485—598no—
386#484—598no—
387#483—598no—
388#479—598no—
389#479—598no—
390#477—598no—
391#475—598no—
392#433—598no—
393C2×#107—591no—
394C2×#107—591no—
395C2×#107C2×D5911yescharacteristic
396C2×#107C2×D5911yescharacteristic
397C2×#106—591no—
398C2×#106—591no—
399C2×#106C2×D5911yescharacteristic
400C2×#106C2×D5911yescharacteristic
401C2×C4⋊C8—591no—
402C2×C4⋊C8—591no—
403C2×#103—591no—
404C2×#103—591no—
405C2×#103—591no—
406C2×#103—591no—
407C2×#103—591no—
408C2×#103—591no—
409C2×#103—591no—
410C2×#103—591no—
411C2×C22⋊C8—591no—
412C2×C22⋊C8—591no—
413C2×#97C2×D5911yescharacteristic
414C2×C4×C8—591no—
415C59C2×#324211yescharacteristic, complemented, Sylow
416C22×Q8—21no—
417C22×Q8—591no—
418C22×Q8—591no—
419C22×Q8—1181no—
420C23×C4—591no—
421C23×C4—1181no—
422C22×C8—591no—
423C22×C8—591no—
424C22×C8C22×D5911yescharacteristic
425C22×C8C22×D5911yescharacteristic
426C4⋊Q8—22no—
427C4⋊Q8—594no—
428C4⋊Q8—594no—
429C4⋊Q8—1182no—
430C4⋊Q8—1188no—
431C4⋊Q8—1182no—
432C4⋊Q8C22×D5914yes—
433#126—1188no—
434#126—1188no—
435#125—22no—
436#125—594no—
437#125—594no—
438#125—1182no—
439#125—1188no—
440#125—1188no—
441#125—1188no—
442#125—1182no—
443#125C22×D5914yes—
444C22⋊Q8—594no—
445C22⋊Q8—594no—
446C22⋊Q8—1188no—
447C22⋊Q8—1188no—
448C22⋊Q8—1182no—
449C22⋊Q8—1182no—
450C4×Q8—594no—
451C4×Q8—594no—
452C4×Q8—1182no—
453C4×Q8—1182no—
454#117—594no—
455#117—594no—
456#117—594no—
457#117—1182no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—591no—
462C2×C4⋊C4—591no—
463C2×C4⋊C4—591no—
464C2×C4⋊C4—591no—
465C2×C4⋊C4—594no—
466C2×C4⋊C4—1182no—
467C2×C4⋊C4—1181no—
468C2×C4⋊C4—1181no—
469C2×C4⋊C4—1181no—
470C2×C4⋊C4—1181no—
471C2×C4⋊C4—1181no—
472C2×C4⋊C4—1181no—
473C2×C4⋊C4—1181no—
474C2×C4⋊C4—1181no—
475C2×C4⋊C4—1181no—
476C2×C4⋊C4—1181no—
477C2×C4⋊C4—1181no—
478C2×C4⋊C4—1181no—
479C2×C4⋊C4C22×D5911yescharacteristic
480C2×C4⋊C4C22×D5911yescharacteristic
481C2×C4⋊C4C22×D5911yescharacteristic
482C2×C4⋊C4C22×D5911yescharacteristic
483C2×C22⋊C4—591no—
484C2×C22⋊C4—591no—
485C2×C22⋊C4—1181no—
486C2×C22⋊C4—1181no—
487C2×C22⋊C4—1181no—
488C2×C42—591no—
489C2×C42—1181no—
490C2×C42—1181no—
491C2×C42—1181no—
492C2×C42C22×D5911yescharacteristic
493#107—594no—
494#107—594no—
495#107C22×D5914yes—
496#107C22×D5914yes—
497#106—594no—
498#106—594no—
499#106C22×D5914yes—
500#106C22×D5914yes—
501C4⋊C8—594no—
502C4⋊C8—594no—
503#103—594no—
504#103—594no—
505#103—594no—
506#103—594no—
507#103—594no—
508#103—594no—
509#103—594no—
510#103—594no—
511C22⋊C8—594no—
512C22⋊C8—594no—
513#97C22×D5914yes—
514C4×C8—594no—
515C24—591no—
516C2×Q8—24no—
517C2×Q8—82no—
518C2×Q8—592no—
519C2×Q8—592no—
520C2×Q8—1184no—
521C2×Q8—1181no—
522C2×Q8—1181no—
523C2×Q8—1182no—
524C2×Q8—1182no—
525C2×Q8—1182no—
526C2×Q8—1182no—
527C2×Q8—4722no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—591no—
533C22×C4—591no—
534C22×C4—591no—
535C22×C4—592no—
536C22×C4—592no—
537C22×C4—1184no—
538C22×C4—1182no—
539C22×C4—1182no—
540C22×C4—1181no—
541C22×C4—1181no—
542C22×C4—1181no—
543C22×C4—1181no—
544C22×C4—4722no—
545C22×C4D4×D5911yescharacteristic
546C22×C4D4×D5911yescharacteristic
547C22×C4C23×D5911yescharacteristic
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—592no—
551C2×C8—592no—
552C2×C8—1182no—
553C2×C8—1182no—
554C2×C8C23×D5912yes—
555C2×C8C23×D5912yes—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—594no—
564C4⋊C4—594no—
565C4⋊C4—592no—
566C4⋊C4—592no—
567C4⋊C4—1184no—
568C4⋊C4—1184no—
569C4⋊C4—1184no—
570C4⋊C4—1184no—
571C4⋊C4—1184no—
572C4⋊C4—1184no—
573C4⋊C4—1184no—
574C4⋊C4—1184no—
575C4⋊C4—1181no—
576C4⋊C4—1181no—
577C4⋊C4—1184no—
578C4⋊C4—1184no—
579C4⋊C4—1184no—
580C4⋊C4—1184no—
581C4⋊C4C23×D5912yes—
582C4⋊C4C23×D5912yes—
583C4⋊C4C23×D5912yes—
584C4⋊C4C23×D5912yes—
585C22⋊C4—594no—
586C22⋊C4—594no—
587C22⋊C4—1184no—
588C22⋊C4—1184no—
589C22⋊C4—1184no—
590C42—592no—
591C42—592no—
592C42—1184no—
593C42—1184no—
594C42—1184no—
595C42D4×D5912yes—
596C42C23×D5912yes—
597C23—592no—
598C23—1182no—
599C23—1182no—
600C23—1182no—
601C23C2×D4×D5911yescharacteristic
602Q8—84no—
603Q8—1182no—
604Q8—1182no—
605Q8—1182no—
606Q8—1182no—
607Q8—4724no—
608Q8—2362no—
609Q8—2362no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—592no—
621C2×C4—592no—
622C2×C4—592no—
623C2×C4—1182no—
624C2×C4—1182no—
625C2×C4—1182no—
626C2×C4—1184no—
627C2×C4—1182no—
628C2×C4—1182no—
629C2×C4—1182no—
630C2×C4—1182no—
631C2×C4—1182no—
632C2×C4—1182no—
633C2×C4—4724no—
634C2×C4—2362no—
635C2×C4—2362no—
636C2×C4—2362no—
637C2×C4—2362no—
638C2×C4C2×D4×D5912yes—
639C2×C4C2×D4×D5912yes—
640C2×C4C2×D4×D5911yescharacteristic
641C2×C4#1427377512yes—
642C2×C4#1427377512yes—
643C2×C4C24×D5911yescharacteristic
644C8—22no—
645C8—22no—
646C8—1182no—
647C8—1182no—
648C22—1182no—
649C22—1182no—
650C22—1182no—
651C22—2364no—
652C22#1683797712yes—
653C22#1683821212yes—
654C22#1683821812yes—
655C22C22×D4×D5911yescharacteristic
656C4—22no—
657C4—22no—
658C4—42no—
659C4—42no—
660C4—42no—
661C4—42no—
662C4—1182no—
663C4—1182no—
664C4—1182no—
665C4—2362no—
666C4—2362no—
667C4—2362no—
668C4—2362no—
669C4#1683797712yes—
670C4C2×#1427377511yescharacteristic
671C4C2×#1427377511yescharacteristic
672C2—2362no—
673C2#2143536514yesdirect product factor
674C2C2×#1683797711yescharacteristic
675C2C2×#1683821211yescharacteristic
676C2C2×#1683821811yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#501C2
socleC23×C59C22×D4
prime radicalC23×D59C2×D4
hypercenterC2×#501D59
hypocenterC59C2×#3242
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
3. #21435365C2direct (N × H)
4. C2×#16837801C2semidirect
5. C2×#16837771C2semidirect
6. C2×#16837754C2semidirect
11. C2×#16837712C2semidirect
12. C2×#16837708C2semidirect
13. C2×#16837696C2semidirect
14. C2×#16837686C2semidirect
16. C2×C59×#501C2semidirect
40. #16837801C22semidirect
41. #16837771C22semidirect
42. #16837754C22semidirect
47. #16837712C22semidirect
48. #16837708C22semidirect
49. #16837696C22semidirect
50. #16837686C22semidirect
71. C59×#501C22semidirect
337. C2×#501D59semidirect
350. C2×C59#3242semidirect
380. #501C2×D59semidirect
415. C59C2×#3242semidirect
673. C2#21435365direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168380292
C2×#168380152
#214353652
C2×#168378012
C2×#168377712
C2×#168377542
C2×#168377392
C2×#168377462
C2×#168377452
C2×#168377342
C2×#168377122
C2×#168377082
C2×#168376962
C2×#168376862
C2×#168374642
C2×C59×#5012
C2×#324259