Finite Group Databasebeta

← C2×#21458658 #30559807

Subgroups — C2×#21458658 #30559807

Order 15616.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840491C211yesmaximal, characteristic, complemented
2C2×#16840481C211yesmaximal, characteristic
3#21458658C2116yesmaximal, direct product factor
4C2×#16840129C211yesmaximal, characteristic, complemented
5C2×#16840121C211yesmaximal, characteristic
6C2×#16840115C211yesmaximal, characteristic
7C2×#16840071C211yesmaximal, characteristic, complemented
8C2×#16840058C211yesmaximal, characteristic, complemented
9C2×#16840060C211yesmaximal, characteristic
10C2×#16839982C211yesmaximal, characteristic
11C2×#16839970C211yesmaximal, characteristic, complemented
12C2×#16839891C211yesmaximal, characteristic, complemented
13C2×#16839867C211yesmaximal, characteristic, complemented
14C2×#16839863C211yesmaximal, characteristic
15C2×Q16×Dic61C211yesmaximal, characteristic, complemented
16C2×C61×#464C211yesmaximal, characteristic
17C22×#11758202C2211yescharacteristic
18#16840491—24no—
19#16840491C2218yescomplemented
20#16840481—24no—
21#16840481C2218yes—
22C2×#14519777—21no—
23C2×#14519777C2211yescharacteristic
24C2×#14519775C2211yescharacteristic
25C2×#14519770—21no—
26C2×#14519770—21no—
27C2×#14519768—21no—
28C2×#14519768—21no—
29C2×#14519768C2211yescharacteristic
30C2×#14519768C2211yescharacteristic
31C2×#14519764C2211yescharacteristic
32C2×#14519754—21no—
33C2×Q8×Dic61C2211yescharacteristic
34C2×Q8×Dic61C2211yescharacteristic
35C2×Q8×Dic61C2211yescharacteristic
36C2×C4×Dic122—21no—
37C2×C4×Dic122C2211yescharacteristic
38C2×C4×Dic122C2211yescharacteristic
39C2×D4×Dic61C2211yescharacteristic
40C2×#14519733—21no—
41#16840129C2218yescomplemented
42#16840121C2218yes—
43#16840115C2218yes—
44#16840071C2218yescomplemented
45#16840060C2218yes—
46#16840058C2218yescomplemented
47#16839982C2218yes—
48#16839970C2218yescomplemented
49#16839891C2218yescomplemented
50#16839867C2218yescomplemented
51#16839863C2218yes—
52Q16×Dic61C2218yescomplemented
53C2×#14519711C2211yescharacteristic
54C2×#14519711C2211yescharacteristic
55C2×#14519708C2211yescharacteristic
56C2×#14519706C2211yescharacteristic
57C2×#14519706C2211yescharacteristic
58C2×#14519702C2211yescharacteristic
59C2×#14519702C2211yescharacteristic
60C2×#14519701C2211yescharacteristic
61C2×#14519701C2211yescharacteristic
62C2×#14519701C2211yescharacteristic
63C2×#14519700C2211yescharacteristic
64C2×#14519698C2211yescharacteristic
65C2×#14519698C2211yescharacteristic
66C2×#14519688C2211yescharacteristic
67C2×#14519687C2211yescharacteristic
68C2×C8×Dic61C2211yescharacteristic
69C22×Q16×C61C2211yescharacteristic
70C22×SD16×C61C2211yescharacteristic
71C2×#124×C61C2211yescharacteristic
72C2×C4×Q8×C61C2211yescharacteristic
73C61×#464C2218yes—
74C2×C4⋊C8×C61C2211yescharacteristic
75C2×#103×C61C2211yescharacteristic
76C2×#102×C61C2211yescharacteristic
77C22×Dic122—21no—
78C22×Dic122D411yescharacteristic
79C22×Dic122C2311yescharacteristic
80C23×Dic61—21no—
81C2×#11758202—24no—
82C2×#11758202C2314yes—
83C22×#92418C2311yescharacteristic
84C22×#92418C2311yescharacteristic
85#14519777—28no—
86#14519777—22no—
87#14519777C2314yes—
88#14519775—22no—
89#14519775C2314yes—
90#14519770—28no—
91#14519770—28no—
92#14519768—28no—
93#14519768—28no—
94#14519768—22no—
95#14519768—22no—
96#14519768C2314yes—
97#14519768C2314yes—
98#14519764—22no—
99#14519764C2314yes—
100#14519754—28no—
101Q8×Dic61—22no—
102Q8×Dic61—22no—
103Q8×Dic61—22no—
104Q8×Dic61C2314yes—
105Q8×Dic61C2314yes—
106Q8×Dic61C2314yes—
107C4×Dic122—22no—
108C4×Dic122—28no—
109C4×Dic122D414yes—
110C4×Dic122C2314yes—
111C4×Dic122C2314yes—
112D4×Dic61—22no—
113D4×Dic61C2314yes—
114#14519733—28no—
115C2×C4⋊Dic61—21no—
116C2×C4⋊Dic61—21no—
117C2×C4⋊Dic61—21no—
118C2×C4⋊Dic61—21no—
119C2×C4⋊Dic61—21no—
120C2×C4⋊Dic61—21no—
121C2×C4⋊Dic61D411yescharacteristic
122C2×C4⋊Dic61C2311yescharacteristic
123C2×C4⋊Dic61C2311yescharacteristic
124C2×C4⋊Dic61C2311yescharacteristic
125C2×#11758196—21no—
126C2×#11758196—21no—
127C2×#11758196—21no—
128C2×#11758196—21no—
129C2×#11758196—21no—
130C2×#11758196D411yescharacteristic
131C2×#11758196D411yescharacteristic
132C2×C22⋊Dic61—21no—
133C2×C22⋊Dic61—21no—
134C2×C22⋊Dic61—21no—
135C2×C4×Dic61—21no—
136C2×C4×Dic61—21no—
137C2×C4×Dic61—21no—
138C2×C4×Dic61—21no—
139C2×C4×Dic61C2311yescharacteristic
140C2×C4×Dic61C2311yescharacteristic
141#14519711C2314yes—
142#14519711C2314yes—
143#14519708C2314yes—
144#14519706C2314yes—
145#14519706C2314yes—
146#14519702C2314yes—
147#14519702C2314yes—
148#14519701C2314yes—
149#14519701C2314yes—
150#14519701C2314yes—
151#14519700C2314yes—
152#14519698C2314yes—
153#14519698C2314yes—
154#14519688C2314yes—
155#14519687C2314yes—
156C8×Dic61C2314yes—
157C22×Q8×C61C2311yescharacteristic
158C22×Q8×C61C2311yescharacteristic
159C22×D4×C61C2311yescharacteristic
160C2×Q16×C61—24no—
161C2×Q16×C61C2314yes—
162C2×SD16×C61—24no—
163C2×SD16×C61C2314yes—
164C22×C8×C61C2311yescharacteristic
165C22×C8×C61C2311yescharacteristic
166#124×C61—22no—
167#124×C61C2314yes—
168C4×Q8×C61—22no—
169C4×Q8×C61C2314yes—
170C2×C4⋊C4×C61—21no—
171C2×C4⋊C4×C61C2311yescharacteristic
172C2×C22⋊C4×C61—21no—
173C2×C22⋊C4×C61—21no—
174C2×C42×C61—21no—
175C2×C42×C61C2311yescharacteristic
176C4⋊C8×C61C2314yes—
177#103×C61C2314yes—
178#102×C61C2314yes—
179C24×C61—21no—
180C2×Q8×C61—21no—
181C2×Q8×C61—21no—
182C2×Q8×C61—22no—
183C2×Q8×C61—22no—
184C2×Q8×C61—22no—
185C2×Q8×C61#4114yes—
186C2×Q8×C61C2412yes—
187C2×Q8×C61C2412yes—
188C2×D4×C61—21no—
189C2×D4×C61—22no—
190C2×D4×C61—22no—
191C2×D4×C61C2412yes—
192C22×C4×C61—21no—
193C22×C4×C61—21no—
194C22×C4×C61—21no—
195C22×C4×C61C2×D411yescharacteristic
196C22×C4×C61C2×D411yescharacteristic
197C22×C4×C61C2411yescharacteristic
198C22×Dic61—21no—
199C22×Dic61—21no—
200C22×Dic61—21no—
201C22×Dic61—21no—
202C22×Dic61—24no—
203C22×Dic61—44no—
204C22×Dic61C2×D411yescharacteristic
205C22×Dic61C2×D411yescharacteristic
206C22×Dic61C2×D411yescharacteristic
207C22×Dic61C2×D411yescharacteristic
208C2×Dic122—22no—
209C2×Dic122—22no—
210C2×Dic122—24no—
211C2×Dic122—21no—
212C2×Dic122—42no—
213C2×Dic122—44no—
214C2×Dic122C2×D414yes—
215C2×Dic122C2412yes—
216Q16×C61—28no—
217SD16×C61—28no—
218C2×C8×C61—22no—
219C2×C8×C61—22no—
220C2×C8×C61C2412yes—
221C2×C8×C61C2412yes—
222C4⋊C4×C61—24no—
223C4⋊C4×C61—21no—
224C4⋊C4×C61C2412yes—
225C22⋊C4×C61—24no—
226C22⋊C4×C61—24no—
227C42×C61—24no—
228C42×C61C2×D412yes—
229C42×C61C2412yes—
230C22⋊Dic61—24no—
231C22⋊Dic61—24no—
232C22⋊Dic61—24no—
233#11758202—28no—
234C4⋊Dic61—24no—
235C4⋊Dic61—21no—
236C4⋊Dic61—21no—
237C4⋊Dic61—21no—
238C4⋊Dic61—24no—
239C4⋊Dic61—24no—
240C4⋊Dic61—24no—
241C4⋊Dic61—24no—
242C4⋊Dic61—24no—
243C4⋊Dic61C2×D414yes—
244C4⋊Dic61C2412yes—
245C4⋊Dic61C2412yes—
246C4⋊Dic61C2412yes—
247#11758196—24no—
248#11758196—24no—
249#11758196—24no—
250#11758196—24no—
251#11758196—24no—
252#11758196C2×D414yes—
253#11758196C2×D414yes—
254C4×Dic61—24no—
255C4×Dic61—24no—
256C4×Dic61—24no—
257C4×Dic61—24no—
258C4×Dic61C2×D412yes—
259C4×Dic61C2×D412yes—
260C4×Dic61C2412yes—
261C4×Dic61C2412yes—
262C2×#92418—22no—
263C2×#92418—22no—
264C2×#92418C2412yes—
265C2×#92418C2412yes—
266C23×C61—22no—
267C23×C61—42no—
268C23×C61—42no—
269C23×C61—42no—
270C23×C61C22×D411yescharacteristic
271Q8×C61—24no—
272Q8×C61—22no—
273Q8×C61—22no—
274Q8×C61—22no—
275Q8×C61—42no—
276Q8×C61C2×#4114yes—
277D4×C61—22no—
278D4×C61—22no—
279D4×C61—42no—
280C2×C4×C61—24no—
281C2×C4×C61—22no—
282C2×C4×C61—22no—
283C2×C4×C61—22no—
284C2×C4×C61—22no—
285C2×C4×C61—22no—
286C2×C4×C61—42no—
287C2×C4×C61—42no—
288C2×C4×C61C22×D412yes—
289C2×C4×C61C22×D412yes—
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61C2×#4112yes—
292C2×C4×C612−1+412yes—
293C2×C4×C61C2511yescharacteristic
294C2×Dic61—22no—
295C2×Dic61—22no—
296C2×Dic61—22no—
297C2×Dic61—22no—
298C2×Dic61—22no—
299C2×Dic61—22no—
300C2×Dic61—22no—
301C2×Dic61—22no—
302C2×Dic61—48no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306C2×Dic61—42no—
307C2×Dic61C22×D412yes—
308C2×Dic61C22×D412yes—
309C2×Dic61C22×D412yes—
310C2×Dic61C22×D412yes—
311Dic122—22no—
312Dic122—22no—
313Dic122—44no—
314Dic122—48no—
315Dic122—42no—
316C8×C61—22no—
317C8×C61—22no—
318#92418—22no—
319#92418—22no—
320C2×#3377—611nomaximal, Sylow
321C22×C61—42no—
322C22×C61—42no—
323C22×C61—42no—
324C22×C61—84no—
325C22×C61#54812yes—
326C22×C61#57512yes—
327C22×C61#57812yes—
328C22×C61C23×D411yescharacteristic
329C4×C61—24no—
330C4×C61—22no—
331C4×C61—22no—
332C4×C61—42no—
333C4×C61—42no—
334C4×C61#54812yes—
335C4×C61C22×#4111yescharacteristic
336C4×C61C2×2−1+411yescharacteristic
337Dic61—22no—
338Dic61—22no—
339Dic61—22no—
340Dic61—22no—
341Dic61—42no—
342Dic61—42no—
343Dic61—42no—
344Dic61—42no—
345C2×#557—611no—
346C2×#556—611no—
347#3377—6116no—
348C2×#491—611no—
349C2×#489—611no—
350C2×#488—611no—
351C2×#479—611no—
352C2×#477—611no—
353C2×#478—611no—
354C2×#464—611no—
355C2×#464D6111yescharacteristic
356C2×#462—611no—
357C2×#446—611no—
358C2×#441—611no—
359C2×#440—611no—
360C2×C4×Q16—611no—
361C2×C61—82no—
362C2×C61#337714yescomplemented
363C2×C61C2×#54811yescharacteristic
364C2×C61C2×#57511yescharacteristic
365C2×C61C2×#57811yescharacteristic
366C22×Q16—611no—
367C22×Q16C2×D6111yescharacteristic
368C22×SD16C2×D6111yescharacteristic
369#557—618no—
370#557—1224no—
371#556—618no—
372#556—1224no—
373C2×C4⋊Q8—611no—
374C2×C4⋊Q8—611no—
375C2×C4⋊Q8—1221no—
376C2×#126—1221no—
377C2×#126—1221no—
378C2×#125—611no—
379C2×#125—611no—
380C2×#125—1221no—
381C2×#125—1221no—
382C2×#124—611no—
383C2×#124C2×D6111yescharacteristic
384C2×C22⋊Q8—1221no—
385C2×C4×Q8—611no—
386C2×C4×Q8—611no—
387C2×C4×Q8—611no—
388C2×C4×Q8—611no—
389C2×C4×Q8—611no—
390C2×C4×Q8—1221no—
391C2×C4×Q8C2×D6111yescharacteristic
392C2×C4×D4—611no—
393C2×#117—1221no—
394#491—618no—
395#489—618no—
396#488—618no—
397#479—618no—
398#478—618no—
399#477—618no—
400#464—618no—
401#464C2×D6118yes—
402#462—618no—
403#446—618no—
404#441—618no—
405#440—618no—
406C4×Q16—618no—
407C2×#107—611no—
408C2×#107—611no—
409C2×#106—611no—
410C2×C4⋊C8—611no—
411C2×C4⋊C8—611no—
412C2×C4⋊C8C2×D6111yescharacteristic
413C2×#103—611no—
414C2×#103—611no—
415C2×#103—611no—
416C2×#103—611no—
417C2×#103—611no—
418C2×#103—611no—
419C2×#103C2×D6111yescharacteristic
420C2×#102—611no—
421C2×#102—611no—
422C2×#102C2×D6111yescharacteristic
423C2×#97—611no—
424C2×#97—611no—
425C2×C4×C8—611no—
426C61C2×#337711yescharacteristic, complemented, Sylow
427C22×Q8—611no—
428C22×Q8—611no—
429C22×Q8—1221no—
430C22×Q8C22×D6111yescharacteristic
431C22×Q8C22×D6111yescharacteristic
432C22×D4C22×D6111yescharacteristic
433C23×C4—1221no—
434C2×Q16—24no—
435C2×Q16—614no—
436C2×Q16—1224no—
437C2×Q16C22×D6114yes—
438C2×SD16—24no—
439C2×SD16C22×D6114yes—
440C22×C8—611no—
441C22×C8—611no—
442C22×C8C22×D6111yescharacteristic
443C22×C8C22×D6111yescharacteristic
444C4⋊Q8—614no—
445C4⋊Q8—614no—
446C4⋊Q8—1228no—
447C4⋊Q8—1222no—
448C4⋊Q8—1222no—
449#126—1228no—
450#126—1228no—
451#125—614no—
452#125—614no—
453#125—1222no—
454#125—1222no—
455#125—1228no—
456#125—1228no—
457#124—22no—
458#124—614no—
459#124—1222no—
460#124C22×D6114yes—
461C22⋊Q8—1228no—
462C4×Q8—22no—
463C4×Q8—614no—
464C4×Q8—614no—
465C4×Q8—614no—
466C4×Q8—614no—
467C4×Q8—614no—
468C4×Q8—614no—
469C4×Q8—1228no—
470C4×Q8—1222no—
471C4×Q8—1222no—
472C4×Q8—1222no—
473C4×Q8—1222no—
474C4×Q8C22×D6114yes—
475C4×D4—614no—
476C4×D4—1222no—
477#117—1228no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—611no—
480C2×C4⋊C4—611no—
481C2×C4⋊C4—611no—
482C2×C4⋊C4—611no—
483C2×C4⋊C4—611no—
484C2×C4⋊C4—611no—
485C2×C4⋊C4—1221no—
486C2×C4⋊C4—1221no—
487C2×C4⋊C4—1221no—
488C2×C4⋊C4—1221no—
489C2×C4⋊C4—1221no—
490C2×C4⋊C4—1221no—
491C2×C4⋊C4—1221no—
492C2×C4⋊C4—1221no—
493C2×C4⋊C4—1221no—
494C2×C4⋊C4—1221no—
495C2×C4⋊C4—1221no—
496C2×C4⋊C4C22×D6111yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—1221no—
500C2×C22⋊C4—1221no—
501C2×C22⋊C4—1221no—
502C2×C42—21no—
503C2×C42—611no—
504C2×C42—611no—
505C2×C42—1221no—
506C2×C42—1221no—
507C2×C42—1221no—
508C2×C42—1221no—
509C2×C42C22×D6111yescharacteristic
510#107—614no—
511#107—614no—
512#106—614no—
513C4⋊C8—614no—
514C4⋊C8—614no—
515C4⋊C8C22×D6114yes—
516#103—614no—
517#103—614no—
518#103—614no—
519#103—614no—
520#103—614no—
521#103—614no—
522#103C22×D6114yes—
523#102—614no—
524#102—614no—
525#102C22×D6114yes—
526#97—614no—
527#97—614no—
528C4×C8—614no—
529C24—21no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—22no—
533C2×Q8—22no—
534C2×Q8—22no—
535C2×Q8—614no—
536C2×Q8—612no—
537C2×Q8—1221no—
538C2×Q8—1224no—
539C2×Q8—1222no—
540C2×Q8—1222no—
541C2×Q8—2442no—
542C2×Q8—2444no—
543C2×Q8#1175822414yes—
544C2×Q8C23×D6112yes—
545C2×Q8C23×D6112yes—
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4C23×D6112yes—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—611no—
554C22×C4—611no—
555C22×C4—611no—
556C22×C4—611no—
557C22×C4—1224no—
558C22×C4—1221no—
559C22×C4—1221no—
560C22×C4—1221no—
561C22×C4—1221no—
562C22×C4—2444no—
563C22×C4D4×D6111yescharacteristic
564C22×C4D4×D6111yescharacteristic
565C22×C4C23×D6111yescharacteristic
566Q16—28no—
567Q16—1228no—
568SD16—28no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—612no—
572C2×C8—612no—
573C2×C8—1222no—
574C2×C8—1222no—
575C2×C8C23×D6112yes—
576C2×C8C23×D6112yes—
577C4⋊C4—24no—
578C4⋊C4—21no—
579C4⋊C4—614no—
580C4⋊C4—614no—
581C4⋊C4—614no—
582C4⋊C4—612no—
583C4⋊C4—612no—
584C4⋊C4—612no—
585C4⋊C4—1224no—
586C4⋊C4—1224no—
587C4⋊C4—1224no—
588C4⋊C4—1224no—
589C4⋊C4—1224no—
590C4⋊C4—1224no—
591C4⋊C4—1224no—
592C4⋊C4—1224no—
593C4⋊C4—1224no—
594C4⋊C4—1221no—
595C4⋊C4—1221no—
596C4⋊C4—1221no—
597C4⋊C4—1224no—
598C4⋊C4—1224no—
599C4⋊C4C23×D6112yes—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—1224no—
603C22⋊C4—1224no—
604C22⋊C4—1224no—
605C42—24no—
606C42—612no—
607C42—612no—
608C42—612no—
609C42—612no—
610C42—1224no—
611C42—1224no—
612C42—1224no—
613C42—1224no—
614C42D4×D6112yes—
615C42C23×D6112yes—
616C23—22no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23C2×D4×D6111yescharacteristic
621Q8—22no—
622Q8—24no—
623Q8—22no—
624Q8—22no—
625Q8—42no—
626Q8—1222no—
627Q8—1222no—
628Q8—2444no—
629Q8—2448no—
630Q8—2442no—
631Q8C2×#1175822414yes—
632D4—22no—
633D4—22no—
634D4—42no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—612no—
644C2×C4—612no—
645C2×C4—612no—
646C2×C4—612no—
647C2×C4—1222no—
648C2×C4—1222no—
649C2×C4—1222no—
650C2×C4—1222no—
651C2×C4—1222no—
652C2×C4—1222no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—2448no—
656C2×C4—2442no—
657C2×C4—2442no—
658C2×C4—2442no—
659C2×C4—2442no—
660C2×C4C2×D4×D6112yes—
661C2×C4C2×D4×D6112yes—
662C2×C4C2×D4×D6111yescharacteristic
663C2×C4C2×#1175822412yes—
664C2×C4#1451982412yes—
665C2×C4C24×D6111yescharacteristic
666C8—22no—
667C8—22no—
668C8—1222no—
669C8—1222no—
670C22—42no—
671C22—42no—
672C22—42no—
673C22—84no—
674C22#1684041812yes—
675C22#1684056112yes—
676C22#1684057612yes—
677C22C22×D4×D6111yescharacteristic
678C4—24no—
679C4—22no—
680C4—22no—
681C4—42no—
682C4—42no—
683C4—1222no—
684C4—1222no—
685C4—1222no—
686C4—1222no—
687C4—2442no—
688C4—2442no—
689C4—2442no—
690C4—2442no—
691C4#1684041812yes—
692C4C22×#1175822411yescharacteristic
693C4C2×#1451982411yescharacteristic
694C2—82no—
695C2#2145865814yesdirect product factor
696C2C2×#1684041811yescharacteristic
697C2C2×#1684056111yescharacteristic
698C2C2×#1684057611yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#464C2
socleC23×C61C22×D4
prime radicalC22×D4×C61C23
hypercenterC2×#464D61
hypocenterC61C2×#3377
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#464

Complements

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

NH ≅ G/Ntype
1. C2×#16840491C2semidirect
3. #21458658C2direct (N × H)
4. C2×#16840129C2semidirect
7. C2×#16840071C2semidirect
8. C2×#16840058C2semidirect
11. C2×#16839970C2semidirect
12. C2×#16839891C2semidirect
13. C2×#16839867C2semidirect
15. C2×Q16×Dic61C2semidirect
19. #16840491C22semidirect
41. #16840129C22semidirect
44. #16840071C22semidirect
46. #16840058C22semidirect
48. #16839970C22semidirect
49. #16839891C22semidirect
50. #16839867C22semidirect
52. Q16×Dic61C22semidirect
362. C2×C61#3377semidirect
426. C61C2×#3377semidirect
695. C2#21458658direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168404912
C2×#168404812
#214586582
C2×#168401292
C2×#168401212
C2×#168401152
C2×#168400712
C2×#168400582
C2×#168400602
C2×#168399822
C2×#168399702
C2×#168398912
C2×#168398672
C2×#168398632
C2×Q16×Dic612
C2×C61×#4642
C2×#337761