Finite Group Databasebeta

← C2×#21457089 #30552220

Subgroups — C2×#21457089 #30552220

Order 15616.

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×#16840390C211yesmaximal, characteristic
2C2×#16840374C211yesmaximal, characteristic
3#21457089C2116yesmaximal, direct product factor
4C2×#16840171C211yesmaximal, characteristic, complemented
5C2×#16840164C211yesmaximal, characteristic, complemented
6C2×#16840131C211yesmaximal, characteristic, complemented
7C2×#16840113C211yesmaximal, characteristic, complemented
8C2×#16840098C211yesmaximal, characteristic
9C2×#16840104C211yesmaximal, characteristic
10C2×#16840104C211yesmaximal, characteristic
11C2×#16840093C211yesmaximal, characteristic
12C2×#16840070C211yesmaximal, characteristic, complemented
13C2×#16840070C211yesmaximal, characteristic, complemented
14C2×#16840058C211yesmaximal, characteristic, complemented
15C2×#16840048C211yesmaximal, characteristic, complemented
16C2×C61×#433C211yesmaximal, characteristic
17#16840390—24no—
18#16840390C2218yes—
19#16840374—24no—
20#16840374C2218yes—
21C2×#14519777C2211yescharacteristic
22C2×#14519777C2211yescharacteristic
23C2×#14519777C2211yescharacteristic
24C2×#14519776—21no—
25C2×#14519770—21no—
26C2×#14519770—21no—
27C2×#14519769C2211yescharacteristic
28C2×#14519769C2211yescharacteristic
29C2×#14519769C2211yescharacteristic
30C2×#14519768—21no—
31C2×#14519767—21no—
32C2×#14519767—21no—
33C2×#14519756C2211yescharacteristic
34C2×#14519756C2211yescharacteristic
35C2×#14519754—21no—
36C2×#14519754—21no—
37C2×C4×Dic122C2211yescharacteristic
38C2×C4×Dic122C2211yescharacteristic
39C2×#14519736C2211yescharacteristic
40C22×C4⋊Dic61C2211yescharacteristic
41#16840171C2218yescomplemented
42#16840164C2218yescomplemented
43#16840131C2218yescomplemented
44#16840113C2218yescomplemented
45#16840104C2218yes—
46#16840104C2218yes—
47#16840098C2218yes—
48#16840093C2218yes—
49#16840070C2218yescomplemented
50#16840070C2218yescomplemented
51#16840058C2218yescomplemented
52#16840048C2218yescomplemented
53C2×#14519711C2211yescharacteristic
54C2×#14519711C2211yescharacteristic
55C2×#14519711C2211yescharacteristic
56C2×#14519711C2211yescharacteristic
57C2×#14519709C2211yescharacteristic
58C2×#14519709C2211yescharacteristic
59C2×#14519709C2211yescharacteristic
60C2×#14519709C2211yescharacteristic
61C2×#14519702C2211yescharacteristic
62C2×#14519702C2211yescharacteristic
63C2×#14519702C2211yescharacteristic
64C2×#14519702C2211yescharacteristic
65C2×#14519702C2211yescharacteristic
66C2×#14519702C2211yescharacteristic
67C2×#14519702C2211yescharacteristic
68C2×#14519702C2211yescharacteristic
69C2×#117×C61C2211yescharacteristic
70C61×#433C2218yes—
71C2×C4⋊C8×C61C2211yescharacteristic
72C2×C4⋊C8×C61C2211yescharacteristic
73C2×C22⋊C8×C61C2211yescharacteristic
74C2×C22⋊C8×C61C2211yescharacteristic
75C2×#97×C61C2211yescharacteristic
76C2×C4×C8×C61C2211yescharacteristic
77C22×Dic122—21no—
78C22×Dic122—21no—
79C22×Dic122C2311yescharacteristic
80C22×Dic122C2311yescharacteristic
81C23×Dic61—21no—
82#14519777—22no—
83#14519777—22no—
84#14519777—22no—
85#14519777C2314yes—
86#14519777C2314yes—
87#14519777C2314yes—
88#14519776—28no—
89#14519770—28no—
90#14519770—28no—
91#14519769—22no—
92#14519769—22no—
93#14519769—22no—
94#14519769C2314yes—
95#14519769C2314yes—
96#14519769C2314yes—
97#14519768—28no—
98#14519767—28no—
99#14519767—28no—
100#14519756—22no—
101#14519756—22no—
102#14519756C2314yes—
103#14519756C2314yes—
104#14519754—28no—
105#14519754—28no—
106C4×Dic122—22no—
107C4×Dic122—22no—
108C4×Dic122C2314yes—
109C4×Dic122C2314yes—
110#14519736—22no—
111#14519736C2314yes—
112C2×C4⋊Dic61—21no—
113C2×C4⋊Dic61—22no—
114C2×C4⋊Dic61—21no—
115C2×C4⋊Dic61—21no—
116C2×C4⋊Dic61—21no—
117C2×C4⋊Dic61—21no—
118C2×C4⋊Dic61C2311yescharacteristic
119C2×C4⋊Dic61C2311yescharacteristic
120C2×C4⋊Dic61C2314yes—
121C2×C4⋊Dic61C2311yescharacteristic
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×#11758196—21no—
131C2×#11758196—21no—
132C2×#11758196—21no—
133C2×#11758196—21no—
134C2×#11758196—21no—
135C2×C22⋊Dic61—21no—
136C2×C22⋊Dic61—21no—
137C2×C22⋊Dic61—21no—
138C2×C4×Dic61—21no—
139C2×C4×Dic61—21no—
140C2×C4×Dic61—21no—
141#14519711C2314yes—
142#14519711C2314yes—
143#14519711C2314yes—
144#14519711C2314yes—
145#14519709C2314yes—
146#14519709C2314yes—
147#14519709C2314yes—
148#14519709C2314yes—
149#14519702C2314yes—
150#14519702C2314yes—
151#14519702C2314yes—
152#14519702C2314yes—
153#14519702C2314yes—
154#14519702C2314yes—
155#14519702C2314yes—
156#14519702C2314yes—
157C23×C4×C61C2311yescharacteristic
158C22×C8×C61C2311yescharacteristic
159C22×C8×C61C2311yescharacteristic
160C22×C8×C61C2311yescharacteristic
161C22×C8×C61C2311yescharacteristic
162#117×C61D414yes—
163#117×C61C2314yes—
164C2×C4⋊C4×C61D411yescharacteristic
165C2×C4⋊C4×C61D411yescharacteristic
166C2×C22⋊C4×C61D411yescharacteristic
167C2×C22⋊C4×C61D411yescharacteristic
168C2×C42×C61C2311yescharacteristic
169C2×C42×C61C2311yescharacteristic
170C4⋊C8×C61C2314yes—
171C4⋊C8×C61C2314yes—
172C22⋊C8×C61C2314yes—
173C22⋊C8×C61C2314yes—
174#97×C61C2314yes—
175C4×C8×C61C2314yes—
176C24×C61C2×D411yescharacteristic
177C22×C4×C61—22no—
178C22×C4×C61—22no—
179C22×C4×C61C2×D411yescharacteristic
180C22×C4×C61C2×D411yescharacteristic
181C22×C4×C61C2×D411yescharacteristic
182C22×C4×C61C2×D411yescharacteristic
183C22×C4×C61C2×D411yescharacteristic
184C22×C4×C61C2×D412yes—
185C22×C4×C61C2412yes—
186C22×C4×C61C2411yescharacteristic
187C22×Dic61—21no—
188C22×Dic61—21no—
189C22×Dic61—21no—
190C22×Dic61—21no—
191C22×Dic61—21no—
192C22×Dic61—21no—
193C22×Dic61—21no—
194C22×Dic61—21no—
195C22×Dic61—24no—
196C22×Dic61—82no—
197C2×Dic122—22no—
198C2×Dic122—22no—
199C2×Dic122—22no—
200C2×Dic122—22no—
201C2×Dic122—21no—
202C2×Dic122—21no—
203C2×Dic122—24no—
204C2×Dic122—24no—
205C2×Dic122—82no—
206C2×Dic122—82no—
207C2×Dic122C2412yes—
208C2×Dic122C2412yes—
209C2×C8×C61—22no—
210C2×C8×C61—22no—
211C2×C8×C61—22no—
212C2×C8×C61—22no—
213C2×C8×C61C2412yes—
214C2×C8×C61C2412yes—
215C2×C8×C61C2412yes—
216C2×C8×C61C2412yes—
217C4⋊C4×C61C2×D414yes—
218C4⋊C4×C61C2×D414yes—
219C22⋊C4×C61C2×D414yes—
220C22⋊C4×C61C2×D414yes—
221C42×C61C2×D412yes—
222C42×C61C2×D412yes—
223C42×C61C2412yes—
224C42×C61C2412yes—
225C22⋊Dic61—24no—
226C22⋊Dic61—24no—
227C22⋊Dic61—24no—
228C4⋊Dic61—24no—
229C4⋊Dic61—21no—
230C4⋊Dic61—21no—
231C4⋊Dic61—24no—
232C4⋊Dic61—24no—
233C4⋊Dic61—24no—
234C4⋊Dic61—24no—
235C4⋊Dic61—21no—
236C4⋊Dic61—21no—
237C4⋊Dic61—21no—
238C4⋊Dic61—21no—
239C4⋊Dic61C2412yes—
240C4⋊Dic61C2412yes—
241C4⋊Dic61C2412yes—
242C4⋊Dic61C2412yes—
243C4⋊Dic61C2412yes—
244C4⋊Dic61C2412yes—
245#11758196—24no—
246#11758196—24no—
247#11758196—24no—
248#11758196—24no—
249#11758196—24no—
250#11758196—24no—
251#11758196—24no—
252#11758196—24no—
253#11758196—24no—
254#11758196—24no—
255C4×Dic61—24no—
256C4×Dic61—24no—
257C4×Dic61—24no—
258C23×C61—22no—
259C23×C61—22no—
260C23×C61—22no—
261C23×C61C22×D412yes—
262C23×C61C22×D411yescharacteristic
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—24no—
269C2×C4×C61—22no—
270C2×C4×C61—22no—
271C2×C4×C61C22×D412yes—
272C2×C4×C61C22×D412yes—
273C2×C4×C61C22×D412yes—
274C2×C4×C61C22×D412yes—
275C2×C4×C61C22×D412yes—
276C2×C4×C61C22×D411yescharacteristic
277C2×C4×C612−1+412yes—
278C2×C4×C612−1+412yes—
279C2×C4×C61C2511yescharacteristic
280C2×Dic61—22no—
281C2×Dic61—22no—
282C2×Dic61—22no—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—42no—
289C2×Dic61—42no—
290C2×Dic61—42no—
291C2×Dic61—42no—
292C2×Dic61—42no—
293C2×Dic61—42no—
294C2×Dic61—42no—
295C2×Dic61—42no—
296C2×Dic61—84no—
297Dic122—22no—
298Dic122—22no—
299Dic122—22no—
300Dic122—22no—
301Dic122—42no—
302Dic122—42no—
303Dic122—84no—
304Dic122—84no—
305C8×C61—22no—
306C8×C61—22no—
307C8×C61—22no—
308C8×C61—22no—
309C2×#3242—611nomaximal, Sylow
310C22×C61—22no—
311C22×C61—22no—
312C22×C61—22no—
313C22×C61—44no—
314C22×C61#53612yes—
315C22×C61#57712yes—
316C22×C61#57812yes—
317C22×C61C23×D411yescharacteristic
318C4×C61—22no—
319C4×C61—22no—
320C4×C61—22no—
321C4×C61—22no—
322C4×C61—22no—
323C4×C61#53612yes—
324C4×C61C2×2−1+411yescharacteristic
325C4×C61C2×2−1+411yescharacteristic
326Dic61—42no—
327Dic61—42no—
328Dic61—42no—
329Dic61—42no—
330Dic61—42no—
331Dic61—42no—
332Dic61—42no—
333Dic61—42no—
334C2×#544—611no—
335C2×#541—611no—
336#3242—6116no—
337C2×#501—611no—
338C2×#499—611no—
339C2×#491—611no—
340C2×#487—611no—
341C2×#484—611no—
342C2×#485—611no—
343C2×#485—611no—
344C2×#483—611no—
345C2×#479—611no—
346C2×#479—611no—
347C2×#477—611no—
348C2×#475—611no—
349C2×#433D6111yescharacteristic
350C2×C61—42no—
351C2×C61#324214yescomplemented
352C2×C61C2×#53611yescharacteristic
353C2×C61C2×#57711yescharacteristic
354C2×C61C2×#57811yescharacteristic
355#544—618no—
356#544—1224no—
357#541—618no—
358#541—1224no—
359C2×C4⋊Q8—611no—
360C2×C4⋊Q8—611no—
361C2×C4⋊Q8—611no—
362C2×C4⋊Q8—1221no—
363C2×#126—1221no—
364C2×#126—1221no—
365C2×#125—611no—
366C2×#125—611no—
367C2×#125—611no—
368C2×#125—1221no—
369C2×#125—1221no—
370C2×#125—1221no—
371C2×C22⋊Q8—611no—
372C2×C22⋊Q8—611no—
373C2×C22⋊Q8—1221no—
374C2×C22⋊Q8—1221no—
375C2×C4×Q8—611no—
376C2×C4×Q8—611no—
377C2×#117—611no—
378C2×#117C2×D6111yescharacteristic
379C22×C4⋊C4—611no—
380#501—618no—
381#499—618no—
382#491—618no—
383#487—618no—
384#485—618no—
385#485—618no—
386#484—618no—
387#483—618no—
388#479—618no—
389#479—618no—
390#477—618no—
391#475—618no—
392#433C2×D6118yes—
393C2×#107—611no—
394C2×#107—611no—
395C2×#107—611no—
396C2×#107—611no—
397C2×#106—611no—
398C2×#106—611no—
399C2×#106—611no—
400C2×#106—611no—
401C2×C4⋊C8C2×D6111yescharacteristic
402C2×C4⋊C8C2×D6111yescharacteristic
403C2×#103—611no—
404C2×#103—611no—
405C2×#103—611no—
406C2×#103—611no—
407C2×#103—611no—
408C2×#103—611no—
409C2×#103—611no—
410C2×#103—611no—
411C2×C22⋊C8C2×D6111yescharacteristic
412C2×C22⋊C8C2×D6111yescharacteristic
413C2×#97C2×D6111yescharacteristic
414C2×C4×C8C2×D6111yescharacteristic
415C61C2×#324211yescharacteristic, complemented, Sylow
416C22×Q8—611no—
417C22×Q8—611no—
418C22×Q8—1221no—
419C22×Q8—1221no—
420C23×C4—1221no—
421C23×C4C22×D6111yescharacteristic
422C22×C8C22×D6111yescharacteristic
423C22×C8C22×D6111yescharacteristic
424C22×C8C22×D6111yescharacteristic
425C22×C8C22×D6111yescharacteristic
426C4⋊Q8—614no—
427C4⋊Q8—614no—
428C4⋊Q8—614no—
429C4⋊Q8—1228no—
430C4⋊Q8—1222no—
431C4⋊Q8—1222no—
432C4⋊Q8—1222no—
433#126—1228no—
434#126—1228no—
435#125—614no—
436#125—614no—
437#125—614no—
438#125—1228no—
439#125—1228no—
440#125—1228no—
441#125—1222no—
442#125—1222no—
443#125—1222no—
444C22⋊Q8—614no—
445C22⋊Q8—614no—
446C22⋊Q8—1222no—
447C22⋊Q8—1222no—
448C22⋊Q8—1228no—
449C22⋊Q8—1228no—
450C4×Q8—614no—
451C4×Q8—614no—
452C4×Q8—1222no—
453C4×Q8—1222no—
454#117—614no—
455#117—1222no—
456#117D24414yes—
457#117C22×D6114yes—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—614no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—611no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4—1222no—
467C2×C4⋊C4—1221no—
468C2×C4⋊C4—1221no—
469C2×C4⋊C4—1221no—
470C2×C4⋊C4—1221no—
471C2×C4⋊C4—1221no—
472C2×C4⋊C4—1221no—
473C2×C4⋊C4—1221no—
474C2×C4⋊C4—1221no—
475C2×C4⋊C4—1221no—
476C2×C4⋊C4—1221no—
477C2×C4⋊C4—1221no—
478C2×C4⋊C4—1221no—
479C2×C4⋊C4—1221no—
480C2×C4⋊C4—1221no—
481C2×C4⋊C4D24411yescharacteristic
482C2×C4⋊C4D24411yescharacteristic
483C2×C22⋊C4—1221no—
484C2×C22⋊C4—1221no—
485C2×C22⋊C4—1221no—
486C2×C22⋊C4D24411yescharacteristic
487C2×C22⋊C4D24411yescharacteristic
488C2×C42—1221no—
489C2×C42—1221no—
490C2×C42—1221no—
491C2×C42C22×D6111yescharacteristic
492C2×C42C22×D6111yescharacteristic
493#107—614no—
494#107—614no—
495#107—614no—
496#107—614no—
497#106—614no—
498#106—614no—
499#106—614no—
500#106—614no—
501C4⋊C8C22×D6114yes—
502C4⋊C8C22×D6114yes—
503#103—614no—
504#103—614no—
505#103—614no—
506#103—614no—
507#103—614no—
508#103—614no—
509#103—614no—
510#103—614no—
511C22⋊C8C22×D6114yes—
512C22⋊C8C22×D6114yes—
513#97C22×D6114yes—
514C4×C8C22×D6114yes—
515C24C2×D24411yescharacteristic
516C2×Q8—612no—
517C2×Q8—612no—
518C2×Q8—1224no—
519C2×Q8—1224no—
520C2×Q8—1221no—
521C2×Q8—1221no—
522C2×Q8—1222no—
523C2×Q8—1222no—
524C2×Q8—1222no—
525C2×Q8—1222no—
526C2×Q8—4882no—
527C2×Q8—4882no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—1224no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—4882no—
540C22×C4C2×D24412yes—
541C22×C4C2×D24411yescharacteristic
542C22×C4C2×D24411yescharacteristic
543C22×C4C2×D24411yescharacteristic
544C22×C4C2×D24411yescharacteristic
545C22×C4C2×D24411yescharacteristic
546C22×C4C23×D6112yes—
547C22×C4C23×D6111yescharacteristic
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8C23×D6112yes—
553C2×C8C23×D6112yes—
554C2×C8C23×D6112yes—
555C2×C8C23×D6112yes—
556C4⋊C4—612no—
557C4⋊C4—612no—
558C4⋊C4—612no—
559C4⋊C4—612no—
560C4⋊C4—612no—
561C4⋊C4—612no—
562C4⋊C4—1224no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—1224no—
570C4⋊C4—1224no—
571C4⋊C4—1224no—
572C4⋊C4—1224no—
573C4⋊C4—1224no—
574C4⋊C4—1224no—
575C4⋊C4—1224no—
576C4⋊C4—1224no—
577C4⋊C4—1224no—
578C4⋊C4—1224no—
579C4⋊C4—1224no—
580C4⋊C4—1224no—
581C4⋊C4—1224no—
582C4⋊C4—1224no—
583C4⋊C4C2×D24414yes—
584C4⋊C4C2×D24414yes—
585C22⋊C4—1224no—
586C22⋊C4—1224no—
587C22⋊C4—1224no—
588C22⋊C4C2×D24414yes—
589C22⋊C4C2×D24414yes—
590C42—1224no—
591C42—1224no—
592C42—1224no—
593C42C2×D24412yes—
594C42C2×D24412yes—
595C42C23×D6112yes—
596C42C23×D6112yes—
597C23—22no—
598C23—22no—
599C23—22no—
600C23C22×D24412yes—
601C23C22×D24411yescharacteristic
602Q8—1222no—
603Q8—1222no—
604Q8—1222no—
605Q8—1222no—
606Q8—4884no—
607Q8—4884no—
608Q8—2442no—
609Q8—2442no—
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—1222no—
619C2×C4—1222no—
620C2×C4—1222no—
621C2×C4—1222no—
622C2×C4—1222no—
623C2×C4—1222no—
624C2×C4—1222no—
625C2×C4—1222no—
626C2×C4—4884no—
627C2×C4—2442no—
628C2×C4—2442no—
629C2×C4—2442no—
630C2×C4—2442no—
631C2×C4—2442no—
632C2×C4—2442no—
633C2×C4—2442no—
634C2×C4—2442no—
635C2×C4C22×D24412yes—
636C2×C4C22×D24412yes—
637C2×C4C22×D24412yes—
638C2×C4C22×D24412yes—
639C2×C4C22×D24412yes—
640C2×C4C22×D24411yescharacteristic
641C2×C4#1451982412yes—
642C2×C4#1451982412yes—
643C2×C4C24×D6111yescharacteristic
644C8—22no—
645C8—22no—
646C8—22no—
647C8—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—44no—
652C22#1684033812yes—
653C22#1684057412yes—
654C22#1684057912yes—
655C22C23×D24411yescharacteristic
656C4—22no—
657C4—22no—
658C4—22no—
659C4—22no—
660C4—22no—
661C4—2442no—
662C4—2442no—
663C4—2442no—
664C4—2442no—
665C4—2442no—
666C4—2442no—
667C4—2442no—
668C4—2442no—
669C4#1684033812yes—
670C4C2×#1451982411yescharacteristic
671C4C2×#1451982411yescharacteristic
672C2—42no—
673C2#2145708914yesdirect product factor
674C2C2×#1684033811yescharacteristic
675C2C2×#1684057411yescharacteristic
676C2C2×#1684057911yescharacteristic
subgroupG/H
centerC23C22×D244
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#433C2
socleC23×C61C22×D4
prime radicalC24×C61C2×D4
hypercenterC2×#433D61
hypocenterC61C2×#3242
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
3. #21457089C2direct (N × H)
4. C2×#16840171C2semidirect
5. C2×#16840164C2semidirect
6. C2×#16840131C2semidirect
7. C2×#16840113C2semidirect
12. C2×#16840070C2semidirect
13. C2×#16840070C2semidirect
14. C2×#16840058C2semidirect
15. C2×#16840048C2semidirect
41. #16840171C22semidirect
42. #16840164C22semidirect
43. #16840131C22semidirect
44. #16840113C22semidirect
49. #16840070C22semidirect
50. #16840070C22semidirect
51. #16840058C22semidirect
52. #16840048C22semidirect
351. C2×C61#3242semidirect
415. C61C2×#3242semidirect
673. C2#21457089direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168403902
C2×#168403742
#214570892
C2×#168401712
C2×#168401642
C2×#168401312
C2×#168401132
C2×#168400982
C2×#168401042
C2×#168400932
C2×#168400702
C2×#168400582
C2×#168400482
C2×C61×#4332
C2×#324261