Finite Group Databasebeta

← C2×#21435278 #29460770

Subgroups — C2×#21435278 #29460770

Order 15104.

1810 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837955C211yesmaximal, characteristic, complemented
2C2×#16837938C211yesmaximal, characteristic
3#21435278C2116yesmaximal, direct product factor
4C2×#16837803C211yesmaximal, characteristic, complemented
5C2×#16837802C211yesmaximal, characteristic, complemented
6C2×#16837758C211yesmaximal, characteristic, complemented
7C2×#16837758C211yesmaximal, characteristic, complemented
8C2×#16837740C211yesmaximal, characteristic, complemented
9C2×#16837727C211yesmaximal, characteristic
10C2×#16837726C211yesmaximal, characteristic
11C2×#16837695C211yesmaximal, characteristic, complemented
12C2×#16837685C211yesmaximal, characteristic, complemented
13C2×#16837691C211yesmaximal, characteristic, complemented
14C2×#16837681C211yesmaximal, characteristic, complemented
15C2×#16837452C211yesmaximal, characteristic, complemented
16C2×C59×#485C211yesmaximal, characteristic, complemented
17#16837955—24no—
18#16837955C2218yescomplemented
19C2×#14273726C2211yescharacteristic
20C2×#14273726C2211yescharacteristic
21#16837938—24no—
22#16837938C2218yes—
23C2×#14273722—21no—
24C2×#14273718C2211yescharacteristic
25C2×#14273718C2211yescharacteristic
26C2×#14273718C2211yescharacteristic
27C2×#14273716C2211yescharacteristic
28C2×#14273711—21no—
29C2×#14273704—21no—
30C2×#14273704—21no—
31C2×#14273701C2211yescharacteristic
32C2×Q8×Dic59C2211yescharacteristic
33C2×C4×Dic118—21no—
34C2×C4×Dic118—21no—
35C2×#14273689C2211yescharacteristic
36C2×(C22⋊D59)⋊C4—21no—
37C2×#14273686C2211yescharacteristic
38C2×#14273685—21no—
39C22×C4×Dic59C2211yescharacteristic
40#16837803C2218yescomplemented
41#16837802C2218yescomplemented
42#16837758C2218yescomplemented
43#16837758C2218yescomplemented
44#16837740C2218yescomplemented
45#16837727C2218yes—
46#16837726C2218yes—
47#16837695C2218yescomplemented
48#16837691C2218yescomplemented
49#16837685C2218yescomplemented
50#16837681C2218yescomplemented
51#16837452C2218yescomplemented
52C2×#14273661C2211yescharacteristic
53C2×#14273660C2211yescharacteristic
54C2×#14273660C2211yescharacteristic
55C2×#14273659C2211yescharacteristic
56C2×#14273658C2211yescharacteristic
57C2×#14273658C2211yescharacteristic
58C2×Dic59⋊C8C2211yescharacteristic
59C2×Dic59⋊C8C2211yescharacteristic
60C2×#14273651C2211yescharacteristic
61C2×#14273651C2211yescharacteristic
62C2×#14273649C2211yescharacteristic
63C2×#14273649C2211yescharacteristic
64C2×#14273647C2211yescharacteristic
65C2×#14273647C2211yescharacteristic
66C2×C22⋊(C59⋊C8)C2211yescharacteristic
67C2×C8×Dic59C2211yescharacteristic
68C2×C8×Dic59C2211yescharacteristic
69C2×C22⋊Q8×C59C2211yescharacteristic
70C2×#117×C59C2211yescharacteristic
71C59×#485C2218yescomplemented
72C2×#107×C59C2211yescharacteristic
73C2×#106×C59C2211yescharacteristic
74C2×#103×C59C2211yescharacteristic
75C2×#103×C59C2211yescharacteristic
76C2×C22⋊C8×C59C2211yescharacteristic
77C22×Dic118—21no—
78C22×Dic118—21no—
79C22×D236C2311yescharacteristic
80C22×C22⋊D59—21no—
81C23×Dic59D411yescharacteristic
82C23×Dic59D411yescharacteristic
83C22×C4×D59—21no—
84C22×C59⋊C8C2311yescharacteristic
85C22×C59⋊C8C2311yescharacteristic
86#14273726—22no—
87#14273726—22no—
88#14273726C2314yes—
89#14273726C2314yes—
90#14273722—28no—
91#14273718—22no—
92#14273718—22no—
93#14273718—22no—
94#14273718C2314yes—
95#14273718C2314yes—
96#14273718C2314yes—
97#14273716—22no—
98#14273716C2314yes—
99#14273711—28no—
100#14273704—28no—
101#14273704—28no—
102#14273701—22no—
103#14273701C2314yes—
104Q8×Dic59—22no—
105Q8×Dic59C2314yes—
106C4×Dic118—28no—
107C4×Dic118—28no—
108#14273689—22no—
109#14273689C2314yes—
110(C22⋊D59)⋊C4—28no—
111#14273686—22no—
112#14273686C2314yes—
113#14273685—28no—
114C2×C4⋊Dic59—21no—
115C2×C4⋊Dic59—21no—
116C2×C4⋊Dic59—21no—
117C2×C4⋊Dic59—21no—
118C2×C4⋊Dic59C2311yescharacteristic
119C2×C4⋊Dic59C2311yescharacteristic
120C2×C4⋊Dic59C2311yescharacteristic
121C2×Dic59⋊C4—21no—
122C2×Dic59⋊C4—21no—
123C2×Dic59⋊C4—21no—
124C2×Dic59⋊C4—21no—
125C2×Dic59⋊C4—21no—
126C2×C22⋊Dic59—21no—
127C2×(C2×D59)⋊C4—21no—
128C2×(C2×D59)⋊C4—21no—
129C2×(C2×D59)⋊C4—21no—
130C2×(C2×D59)⋊C4—21no—
131C2×C4×Dic59—21no—
132C2×C4×Dic59—21no—
133C2×C4×Dic59D411yescharacteristic
134C2×C4×Dic59D414yes—
135C2×C4×Dic59D411yescharacteristic
136C2×C4×Dic59C2311yescharacteristic
137C2×C4×Dic59C2311yescharacteristic
138C2×C4×Dic59C2314yes—
139#14273661C2314yes—
140#14273660C2314yes—
141#14273660C2314yes—
142#14273659C2314yes—
143#14273658C2314yes—
144#14273658C2314yes—
145Dic59⋊C8C2314yes—
146Dic59⋊C8C2314yes—
147#14273651C2314yes—
148#14273651C2314yes—
149#14273649C2314yes—
150#14273649C2314yes—
151#14273647C2314yes—
152#14273647C2314yes—
153C22⋊(C59⋊C8)C2314yes—
154C8×Dic59C2314yes—
155C8×Dic59C2314yes—
156C22×Q8×C59C2311yescharacteristic
157C23×C4×C59C2311yescharacteristic
158C22×C8×C59C2311yescharacteristic
159C22×C8×C59C2311yescharacteristic
160C22⋊Q8×C59—22no—
161C22⋊Q8×C59C2314yes—
162#117×C59—22no—
163#117×C59C2314yes—
164C2×C4⋊C4×C59—21no—
165C2×C4⋊C4×C59C2311yescharacteristic
166C2×C4⋊C4×C59C2311yescharacteristic
167C2×C4⋊C4×C59C2311yescharacteristic
168C2×C22⋊C4×C59—21no—
169C2×C22⋊C4×C59—21no—
170C2×C42×C59—21no—
171#107×C59C2314yes—
172#106×C59C2314yes—
173#103×C59C2314yes—
174#103×C59C2314yes—
175C22⋊C8×C59C2314yes—
176C24×C59C2×D411yescharacteristic
177C23×D59—21no—
178C2×Q8×C59—21no—
179C2×Q8×C59—22no—
180C2×Q8×C59—22no—
181C2×Q8×C59C2412yes—
182C22×C4×C59—22no—
183C22×C4×C59—22no—
184C22×C4×C59—21no—
185C22×C4×C59—21no—
186C22×C4×C59—21no—
187C22×C4×C59—21no—
188C22×C4×C59C2×D411yescharacteristic
189C22×C4×C59C2×D412yes—
190C22×C4×C59C2412yes—
191C22×C4×C59C2411yescharacteristic
192C2×C22⋊D59—24no—
193C2×C22⋊D59—44no—
194C22×Dic59—24no—
195C22×Dic59—21no—
196C22×Dic59—21no—
197C22×Dic59—21no—
198C22×Dic59—42no—
199C22×Dic59C2×D411yescharacteristic
200C22×Dic59C2×D411yescharacteristic
201C22×Dic59C2×D411yescharacteristic
202C22×Dic59C2×D414yes—
203C22×Dic59C2×D414yes—
204C22×Dic59C2×D411yescharacteristic
205C2×D236—22no—
206C2×D236—22no—
207C2×D236—21no—
208C2×D236C2412yes—
209C2×C4×D59—24no—
210C2×C4×D59—44no—
211C2×Dic118—24no—
212C2×Dic118—24no—
213C2×Dic118—44no—
214C2×Dic118—44no—
215C2×C8×C59—22no—
216C2×C8×C59—22no—
217C2×C8×C59C2412yes—
218C2×C8×C59C2412yes—
219C4⋊C4×C59—24no—
220C4⋊C4×C59—21no—
221C4⋊C4×C59—21no—
222C4⋊C4×C59—21no—
223C4⋊C4×C59C2412yes—
224C4⋊C4×C59C2412yes—
225C4⋊C4×C59C2412yes—
226C22⋊C4×C59—24no—
227C22⋊C4×C59—24no—
228C42×C59—24no—
229C22⋊Dic59—24no—
230(C2×D59)⋊C4—24no—
231(C2×D59)⋊C4—24no—
232(C2×D59)⋊C4—24no—
233(C2×D59)⋊C4—24no—
234C4⋊Dic59—21no—
235C4⋊Dic59—21no—
236C4⋊Dic59—21no—
237C4⋊Dic59—24no—
238C4⋊Dic59—24no—
239C4⋊Dic59—24no—
240C4⋊Dic59—24no—
241C4⋊Dic59C2412yes—
242C4⋊Dic59C2412yes—
243C4⋊Dic59C2412yes—
244Dic59⋊C4—24no—
245Dic59⋊C4—24no—
246Dic59⋊C4—24no—
247Dic59⋊C4—24no—
248Dic59⋊C4—24no—
249C4×Dic59—24no—
250C4×Dic59—24no—
251C4×Dic59C2×D414yes—
252C4×Dic59C2×D412yes—
253C4×Dic59C2×D414yes—
254C4×Dic59C2×D412yes—
255C4×Dic59C2412yes—
256C4×Dic59C2412yes—
257C2×C59⋊C8—22no—
258C2×C59⋊C8—22no—
259C2×C59⋊C8C2412yes—
260C2×C59⋊C8C2412yes—
261C23×C59—22no—
262C23×C59—22no—
263C23×C59—22no—
264C23×C59C22×D412yes—
265C23×C59C22×D411yescharacteristic
266C22×D59—22no—
267C22×D59—42no—
268C22×D59—42no—
269C22×D59—42no—
270Q8×C59—22no—
271Q8×C59—22no—
272Q8×C59—42no—
273C2×C4×C59—22no—
274C2×C4×C59—24no—
275C2×C4×C59—22no—
276C2×C4×C59—22no—
277C2×C4×C59—22no—
278C2×C4×C59—22no—
279C2×C4×C59—22no—
280C2×C4×C59—22no—
281C2×C4×C59—42no—
282C2×C4×C59—42no—
283C2×C4×C59—42no—
284C2×C4×C59—42no—
285C2×C4×C59C22×D412yes—
286C2×C4×C59C22×D411yescharacteristic
287C2×C4×C592−1+412yes—
288C2×C4×C592−1+412yes—
289C2×C4×C59C2511yescharacteristic
290C22⋊D59—48no—
291C2×Dic59—22no—
292C2×Dic59—22no—
293C2×Dic59—22no—
294C2×Dic59—28no—
295C2×Dic59—22no—
296C2×Dic59—22no—
297C2×Dic59—22no—
298C2×Dic59—44no—
299C2×Dic59—42no—
300C2×Dic59—42no—
301C2×Dic59—42no—
302C2×Dic59#13514yes—
303C2×Dic59C22×D412yes—
304C2×Dic59C22×D412yes—
305C2×Dic59C22×D412yes—
306C2×Dic59C22×D412yes—
307D236—22no—
308D236—22no—
309D236—42no—
310C4×D59—48no—
311Dic118—48no—
312Dic118—48no—
313C8×C59—22no—
314C8×C59—22no—
315C59⋊C8—22no—
316C59⋊C8—22no—
317C2×#3233—591nomaximal, Sylow
318C22×C59—22no—
319C22×C59—22no—
320C22×C59—22no—
321C22×C59—44no—
322C22×C59#53612yes—
323C22×C59C2×#13512yes—
324C22×C59#57512yes—
325C22×C59C23×D411yescharacteristic
326C2×D59—42no—
327C2×D59—42no—
328C2×D59—42no—
329C2×D59—84no—
330C4×C59—22no—
331C4×C59—42no—
332C4×C59—42no—
333C4×C59—42no—
334C4×C59—42no—
335C4×C59#53612yes—
336C4×C59C2×2−1+411yescharacteristic
337C4×C59C2×2−1+411yescharacteristic
338Dic59—22no—
339Dic59—22no—
340Dic59—22no—
341Dic59—42no—
342Dic59—42no—
343Dic59—42no—
344Dic59C2×#13514yes—
345C2×#533—591no—
346C2×#529—591no—
347#3233—5916no—
348C2×#499—591no—
349C2×#499—591no—
350C2×#488—591no—
351C2×#488—591no—
352C2×#485—591no—
353C2×#485D5911yescharacteristic, complemented
354C2×#482—591no—
355C2×#482—591no—
356C2×#477—591no—
357C2×#475—591no—
358C2×#476—591no—
359C2×#474—591no—
360C2×#431—591no—
361C2×C59—42no—
362C2×C59#323314yescomplemented
363C2×C59C2×#53611yescharacteristic
364C2×C59C22×#13511yescharacteristic
365C2×C59C2×#57511yescharacteristic
366D59—82no—
367#533—598no—
368#533—1184no—
369C2×C4⋊Q8—591no—
370C2×C4⋊Q8—591no—
371#529—598no—
372#529—1184no—
373C2×#126—1181no—
374C2×#125—591no—
375C2×#125—591no—
376C2×#125—591no—
377C2×#124—591no—
378C2×#123—1181no—
379C2×C22⋊Q8—1181no—
380C2×C22⋊Q8—1181no—
381C2×C22⋊Q8C2×D5911yescharacteristic
382C2×#121—591no—
383C2×C4×Q8—591no—
384C2×C4×Q8—1181no—
385C2×C4×Q8—1181no—
386C2×C4×D4—591no—
387C2×C4×D4—1181no—
388C2×#117—591no—
389C2×#117—1181no—
390C2×#117C2×D5911yescharacteristic
391C22×C42—591no—
392#499—598no—
393#499—598no—
394#488—598no—
395#488—598no—
396#485—598no—
397#485C2×D5918yescomplemented
398#482—598no—
399#482—598no—
400#477—598no—
401#476—598no—
402#475—598no—
403#474—598no—
404#431—598no—
405C2×#107—591no—
406C2×#107—591no—
407C2×#107—591no—
408C2×#107C2×D5911yescharacteristic
409C2×#106—591no—
410C2×#106—591no—
411C2×#106—591no—
412C2×#106C2×D5911yescharacteristic
413C2×C4⋊C8—591no—
414C2×C4⋊C8—591no—
415C2×#103—591no—
416C2×#103—591no—
417C2×#103C2×D5911yescharacteristic
418C2×#103C2×D5911yescharacteristic
419C2×#102—591no—
420C2×#102—591no—
421C2×#102—591no—
422C2×#102—591no—
423C2×C22⋊C8—591no—
424C2×C22⋊C8C2×D5911yescharacteristic
425C2×C4×C8—591no—
426C2×C4×C8—591no—
427C59C2×#323311yescharacteristic, complemented, Sylow
428C22×Q8—1181no—
429C22×Q8—1181no—
430C22×Q8C22×D5911yescharacteristic
431C22×D4—591no—
432C22×D4—1181no—
433C23×C4—591no—
434C23×C4—591no—
435C23×C4—1181no—
436C23×C4C22×D5911yescharacteristic
437C22×C8—591no—
438C22×C8—591no—
439C22×C8C22×D5911yescharacteristic
440C22×C8C22×D5911yescharacteristic
441C4⋊Q8—594no—
442C4⋊Q8—594no—
443C4⋊Q8—1182no—
444C4⋊Q8—1182no—
445#126—1188no—
446#125—594no—
447#125—594no—
448#125—594no—
449#125—1182no—
450#125—1182no—
451#125—1182no—
452#124—594no—
453#124—1182no—
454#123—1188no—
455C22⋊Q8—22no—
456C22⋊Q8—1188no—
457C22⋊Q8—1188no—
458C22⋊Q8C22×D5914yes—
459#121—594no—
460#121—1182no—
461C4×Q8—594no—
462C4×Q8—1188no—
463C4×Q8—1188no—
464C4×Q8—1182no—
465C4×D4—594no—
466C4×D4—1182no—
467C4×D4—1188no—
468#117—22no—
469#117—594no—
470#117—1188no—
471#117—1182no—
472#117C22×D5914yes—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—591no—
475C2×C4⋊C4—591no—
476C2×C4⋊C4—591no—
477C2×C4⋊C4—1181no—
478C2×C4⋊C4—1181no—
479C2×C4⋊C4—1181no—
480C2×C4⋊C4—1181no—
481C2×C4⋊C4—1181no—
482C2×C4⋊C4—1181no—
483C2×C4⋊C4—1181no—
484C2×C4⋊C4—1181no—
485C2×C4⋊C4—1181no—
486C2×C4⋊C4C22×D5911yescharacteristic
487C2×C4⋊C4C22×D5911yescharacteristic
488C2×C4⋊C4C22×D5911yescharacteristic
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—1181no—
492C2×C22⋊C4—1181no—
493C2×C22⋊C4—1181no—
494C2×C22⋊C4—1181no—
495C2×C22⋊C4—1181no—
496C2×C42—21no—
497C2×C42—591no—
498C2×C42—591no—
499C2×C42—594no—
500C2×C42—591no—
501C2×C42—591no—
502C2×C42—594no—
503C2×C42—1181no—
504C2×C42—1181no—
505#107—594no—
506#107—594no—
507#107—594no—
508#107C22×D5914yes—
509#106—594no—
510#106—594no—
511#106—594no—
512#106C22×D5914yes—
513C4⋊C8—594no—
514C4⋊C8—594no—
515#103—594no—
516#103—594no—
517#103C22×D5914yes—
518#103C22×D5914yes—
519#102—594no—
520#102—594no—
521#102—594no—
522#102—594no—
523C22⋊C8—594no—
524C22⋊C8C22×D5914yes—
525C4×C8—594no—
526C4×C8—594no—
527C24—1181no—
528C24D4×D5911yescharacteristic
529C2×Q8—21no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8—1184no—
533C2×Q8—1184no—
534C2×Q8—2364no—
535C2×Q8—2364no—
536C2×Q8C23×D5912yes—
537C2×D4—592no—
538C2×D4—1184no—
539C2×D4—1181no—
540C2×D4—1182no—
541C2×D4—1182no—
542C2×D4—2364no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—591no—
550C22×C4—594no—
551C22×C4—591no—
552C22×C4—591no—
553C22×C4—591no—
554C22×C4—594no—
555C22×C4—1184no—
556C22×C4—1184no—
557C22×C4—1181no—
558C22×C4—1181no—
559C22×C4—1181no—
560C22×C4—2364no—
561C22×C4—2362no—
562C22×C4D4×D5912yes—
563C22×C4D4×D5911yescharacteristic
564C22×C4C23×D5912yes—
565C22×C4C23×D5911yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—592no—
569C2×C8—592no—
570C2×C8—1182no—
571C2×C8—1182no—
572C2×C8C23×D5912yes—
573C2×C8C23×D5912yes—
574C4⋊C4—24no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—592no—
579C4⋊C4—592no—
580C4⋊C4—592no—
581C4⋊C4—1184no—
582C4⋊C4—1184no—
583C4⋊C4—1184no—
584C4⋊C4—1184no—
585C4⋊C4—1184no—
586C4⋊C4—1184no—
587C4⋊C4—1184no—
588C4⋊C4—1184no—
589C4⋊C4—1184no—
590C4⋊C4—1181no—
591C4⋊C4—1181no—
592C4⋊C4—1181no—
593C4⋊C4C23×D5912yes—
594C4⋊C4C23×D5912yes—
595C4⋊C4C23×D5912yes—
596C22⋊C4—24no—
597C22⋊C4—24no—
598C22⋊C4—1184no—
599C22⋊C4—1184no—
600C22⋊C4—1184no—
601C22⋊C4—1184no—
602C22⋊C4—1184no—
603C42—24no—
604C42—594no—
605C42—592no—
606C42—594no—
607C42—592no—
608C42—592no—
609C42—592no—
610C42—1184no—
611C42—1184no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—1182no—
616C23—2362no—
617C23—2362no—
618C23—2362no—
619C23C2×D4×D5912yes—
620C23C2×D4×D5911yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—42no—
624Q8—2368no—
625Q8—2368no—
626D4—1182no—
627D4—1182no—
628D4—2368no—
629D4—2362no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—594no—
643C2×C4—592no—
644C2×C4—592no—
645C2×C4—592no—
646C2×C4—592no—
647C2×C4—1188no—
648C2×C4—1182no—
649C2×C4—1182no—
650C2×C4—1182no—
651C2×C4—1182no—
652C2×C4—1182no—
653C2×C4—1182no—
654C2×C4—2368no—
655C2×C4—2364no—
656C2×C4—2362no—
657C2×C4—2362no—
658C2×C4—2362no—
659C2×C4C2×D4×D5912yes—
660C2×C4C2×D4×D5911yescharacteristic
661C2×C4#1427377412yes—
662C2×C4#1427377412yes—
663C2×C4C24×D5911yescharacteristic
664C8—22no—
665C8—22no—
666C8—1182no—
667C8—1182no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—4724no—
673C22—2362no—
674C22—2362no—
675C22—2362no—
676C22#1683797412yes—
677C22#135×D5912yes—
678C22#1683820112yes—
679C22C22×D4×D5911yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—594no—
686C4—1182no—
687C4—1182no—
688C4—1182no—
689C4—2362no—
690C4—2362no—
691C4—2362no—
692C4#1683797412yes—
693C4C2×#1427377411yescharacteristic
694C4C2×#1427377411yescharacteristic
695C2—42no—
696C2—4722no—
697C2#2143527814yesdirect product factor
698C2C2×#1683797411yescharacteristic
699C2C2×#135×D5911yescharacteristic
700C2C2×#1683820111yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#485C2
socleC23×C59C22×D4
prime radicalC2×#14273701C22
hypercenterC2×#485D59
hypocenterC59C2×#3233
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#485

Complements

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

NH ≅ G/Ntype
1. C2×#16837955C2semidirect
3. #21435278C2direct (N × H)
4. C2×#16837803C2semidirect
5. C2×#16837802C2semidirect
6. C2×#16837758C2semidirect
7. C2×#16837758C2semidirect
8. C2×#16837740C2semidirect
11. C2×#16837695C2semidirect
12. C2×#16837685C2semidirect
13. C2×#16837691C2semidirect
14. C2×#16837681C2semidirect
15. C2×#16837452C2semidirect
16. C2×C59×#485C2semidirect
18. #16837955C22semidirect
40. #16837803C22semidirect
41. #16837802C22semidirect
42. #16837758C22semidirect
43. #16837758C22semidirect
44. #16837740C22semidirect
47. #16837695C22semidirect
48. #16837691C22semidirect
49. #16837685C22semidirect
50. #16837681C22semidirect
51. #16837452C22semidirect
71. C59×#485C22semidirect
353. C2×#485D59semidirect
362. C2×C59#3233semidirect
397. #485C2×D59semidirect
427. C59C2×#3233semidirect
697. C2#21435278direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168379552
C2×#168379382
#214352782
C2×#168378032
C2×#168378022
C2×#168377582
C2×#168377402
C2×#168377272
C2×#168377262
C2×#168376952
C2×#168376852
C2×#168376912
C2×#168376812
C2×#168374522
C2×C59×#4852
C2×#323359