Finite Group Databasebeta

← C2×#20254658 #27088485

Subgroups — C2×#20254658 #27088485

Order 12032.

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×#15689751C211yesmaximal, characteristic
2C2×#15689735C211yesmaximal, characteristic
3#20254658C2116yesmaximal, direct product factor
4C2×#15689532C211yesmaximal, characteristic, complemented
5C2×#15689525C211yesmaximal, characteristic, complemented
6C2×#15689492C211yesmaximal, characteristic, complemented
7C2×#15689474C211yesmaximal, characteristic, complemented
8C2×#15689459C211yesmaximal, characteristic
9C2×#15689465C211yesmaximal, characteristic
10C2×#15689465C211yesmaximal, characteristic
11C2×#15689454C211yesmaximal, characteristic
12C2×#15689431C211yesmaximal, characteristic, complemented
13C2×#15689431C211yesmaximal, characteristic, complemented
14C2×#15689419C211yesmaximal, characteristic, complemented
15C2×#15689409C211yesmaximal, characteristic, complemented
16C2×C47×#433C211yesmaximal, characteristic
17#15689751—24no—
18#15689751C2218yes—
19#15689735—24no—
20#15689735C2218yes—
21C2×#13094024C2211yescharacteristic
22C2×#13094024C2211yescharacteristic
23C2×#13094024C2211yescharacteristic
24C2×#13094023—21no—
25C2×#13094017—21no—
26C2×#13094017—21no—
27C2×#13094016C2211yescharacteristic
28C2×#13094016C2211yescharacteristic
29C2×#13094016C2211yescharacteristic
30C2×#13094015—21no—
31C2×#13094014—21no—
32C2×#13094014—21no—
33C2×#13094003C2211yescharacteristic
34C2×#13094003C2211yescharacteristic
35C2×#13094001—21no—
36C2×#13094001—21no—
37C2×C4×Dic94C2211yescharacteristic
38C2×C4×Dic94C2211yescharacteristic
39C2×#13093983C2211yescharacteristic
40C22×C4⋊Dic47C2211yescharacteristic
41#15689532C2218yescomplemented
42#15689525C2218yescomplemented
43#15689492C2218yescomplemented
44#15689474C2218yescomplemented
45#15689465C2218yes—
46#15689465C2218yes—
47#15689459C2218yes—
48#15689454C2218yes—
49#15689431C2218yescomplemented
50#15689431C2218yescomplemented
51#15689419C2218yescomplemented
52#15689409C2218yescomplemented
53C2×#13093958C2211yescharacteristic
54C2×#13093958C2211yescharacteristic
55C2×#13093958C2211yescharacteristic
56C2×#13093958C2211yescharacteristic
57C2×#13093956C2211yescharacteristic
58C2×#13093956C2211yescharacteristic
59C2×#13093956C2211yescharacteristic
60C2×#13093956C2211yescharacteristic
61C2×#13093949C2211yescharacteristic
62C2×#13093949C2211yescharacteristic
63C2×#13093949C2211yescharacteristic
64C2×#13093949C2211yescharacteristic
65C2×#13093949C2211yescharacteristic
66C2×#13093949C2211yescharacteristic
67C2×#13093949C2211yescharacteristic
68C2×#13093949C2211yescharacteristic
69C2×#117×C47C2211yescharacteristic
70C47×#433C2218yes—
71C2×C4⋊C8×C47C2211yescharacteristic
72C2×C4⋊C8×C47C2211yescharacteristic
73C2×C22⋊C8×C47C2211yescharacteristic
74C2×C22⋊C8×C47C2211yescharacteristic
75C2×#97×C47C2211yescharacteristic
76C2×C4×C8×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94—21no—
79C22×Dic94C2311yescharacteristic
80C22×Dic94C2311yescharacteristic
81C23×Dic47—21no—
82#13094024—22no—
83#13094024—22no—
84#13094024—22no—
85#13094024C2314yes—
86#13094024C2314yes—
87#13094024C2314yes—
88#13094023—28no—
89#13094017—28no—
90#13094017—28no—
91#13094016—22no—
92#13094016—22no—
93#13094016—22no—
94#13094016C2314yes—
95#13094016C2314yes—
96#13094016C2314yes—
97#13094015—28no—
98#13094014—28no—
99#13094014—28no—
100#13094003—22no—
101#13094003—22no—
102#13094003C2314yes—
103#13094003C2314yes—
104#13094001—28no—
105#13094001—28no—
106C4×Dic94—22no—
107C4×Dic94—22no—
108C4×Dic94C2314yes—
109C4×Dic94C2314yes—
110#13093983—22no—
111#13093983C2314yes—
112C2×C4⋊Dic47—22no—
113C2×C4⋊Dic47—21no—
114C2×C4⋊Dic47—21no—
115C2×C4⋊Dic47—21no—
116C2×C4⋊Dic47—21no—
117C2×C4⋊Dic47—21no—
118C2×C4⋊Dic47C2314yes—
119C2×C4⋊Dic47C2311yescharacteristic
120C2×C4⋊Dic47C2311yescharacteristic
121C2×C4⋊Dic47C2311yescharacteristic
122C2×C4⋊Dic47C2311yescharacteristic
123C2×C4⋊Dic47C2311yescharacteristic
124C2×C4⋊Dic47C2311yescharacteristic
125C2×Dic47⋊C4—21no—
126C2×Dic47⋊C4—21no—
127C2×Dic47⋊C4—21no—
128C2×Dic47⋊C4—21no—
129C2×Dic47⋊C4—21no—
130C2×Dic47⋊C4—21no—
131C2×Dic47⋊C4—21no—
132C2×Dic47⋊C4—21no—
133C2×Dic47⋊C4—21no—
134C2×Dic47⋊C4—21no—
135C2×C22⋊Dic47—21no—
136C2×C22⋊Dic47—21no—
137C2×C22⋊Dic47—21no—
138C2×C4×Dic47—21no—
139C2×C4×Dic47—21no—
140C2×C4×Dic47—21no—
141#13093958C2314yes—
142#13093958C2314yes—
143#13093958C2314yes—
144#13093958C2314yes—
145#13093956C2314yes—
146#13093956C2314yes—
147#13093956C2314yes—
148#13093956C2314yes—
149#13093949C2314yes—
150#13093949C2314yes—
151#13093949C2314yes—
152#13093949C2314yes—
153#13093949C2314yes—
154#13093949C2314yes—
155#13093949C2314yes—
156#13093949C2314yes—
157C23×C4×C47C2311yescharacteristic
158C22×C8×C47C2311yescharacteristic
159C22×C8×C47C2311yescharacteristic
160C22×C8×C47C2311yescharacteristic
161C22×C8×C47C2311yescharacteristic
162#117×C47D414yes—
163#117×C47C2314yes—
164C2×C4⋊C4×C47D411yescharacteristic
165C2×C4⋊C4×C47D411yescharacteristic
166C2×C22⋊C4×C47D411yescharacteristic
167C2×C22⋊C4×C47D411yescharacteristic
168C2×C42×C47C2311yescharacteristic
169C2×C42×C47C2311yescharacteristic
170C4⋊C8×C47C2314yes—
171C4⋊C8×C47C2314yes—
172C22⋊C8×C47C2314yes—
173C22⋊C8×C47C2314yes—
174#97×C47C2314yes—
175C4×C8×C47C2314yes—
176C24×C47C2×D411yescharacteristic
177C22×C4×C47—22no—
178C22×C4×C47—22no—
179C22×C4×C47C2×D411yescharacteristic
180C22×C4×C47C2×D411yescharacteristic
181C22×C4×C47C2×D411yescharacteristic
182C22×C4×C47C2×D411yescharacteristic
183C22×C4×C47C2×D411yescharacteristic
184C22×C4×C47C2×D412yes—
185C22×C4×C47C2412yes—
186C22×C4×C47C2411yescharacteristic
187C22×Dic47—21no—
188C22×Dic47—21no—
189C22×Dic47—21no—
190C22×Dic47—21no—
191C22×Dic47—21no—
192C22×Dic47—21no—
193C22×Dic47—21no—
194C22×Dic47—21no—
195C22×Dic47—24no—
196C22×Dic47—82no—
197C2×Dic94—22no—
198C2×Dic94—22no—
199C2×Dic94—22no—
200C2×Dic94—22no—
201C2×Dic94—21no—
202C2×Dic94—21no—
203C2×Dic94—24no—
204C2×Dic94—24no—
205C2×Dic94—82no—
206C2×Dic94—82no—
207C2×Dic94C2412yes—
208C2×Dic94C2412yes—
209C2×C8×C47—22no—
210C2×C8×C47—22no—
211C2×C8×C47—22no—
212C2×C8×C47—22no—
213C2×C8×C47C2412yes—
214C2×C8×C47C2412yes—
215C2×C8×C47C2412yes—
216C2×C8×C47C2412yes—
217C4⋊C4×C47C2×D414yes—
218C4⋊C4×C47C2×D414yes—
219C22⋊C4×C47C2×D414yes—
220C22⋊C4×C47C2×D414yes—
221C42×C47C2×D412yes—
222C42×C47C2×D412yes—
223C42×C47C2412yes—
224C42×C47C2412yes—
225C22⋊Dic47—24no—
226C22⋊Dic47—24no—
227C22⋊Dic47—24no—
228C4⋊Dic47—24no—
229C4⋊Dic47—21no—
230C4⋊Dic47—21no—
231C4⋊Dic47—24no—
232C4⋊Dic47—24no—
233C4⋊Dic47—24no—
234C4⋊Dic47—24no—
235C4⋊Dic47—21no—
236C4⋊Dic47—21no—
237C4⋊Dic47—21no—
238C4⋊Dic47—21no—
239C4⋊Dic47C2412yes—
240C4⋊Dic47C2412yes—
241C4⋊Dic47C2412yes—
242C4⋊Dic47C2412yes—
243C4⋊Dic47C2412yes—
244C4⋊Dic47C2412yes—
245Dic47⋊C4—24no—
246Dic47⋊C4—24no—
247Dic47⋊C4—24no—
248Dic47⋊C4—24no—
249Dic47⋊C4—24no—
250Dic47⋊C4—24no—
251Dic47⋊C4—24no—
252Dic47⋊C4—24no—
253Dic47⋊C4—24no—
254Dic47⋊C4—24no—
255C4×Dic47—24no—
256C4×Dic47—24no—
257C4×Dic47—24no—
258C23×C47—22no—
259C23×C47—22no—
260C23×C47—22no—
261C23×C47C22×D412yes—
262C23×C47C22×D411yescharacteristic
263C2×C4×C47—22no—
264C2×C4×C47—22no—
265C2×C4×C47—22no—
266C2×C4×C47—22no—
267C2×C4×C47—22no—
268C2×C4×C47—24no—
269C2×C4×C47—22no—
270C2×C4×C47—22no—
271C2×C4×C47C22×D412yes—
272C2×C4×C47C22×D412yes—
273C2×C4×C47C22×D412yes—
274C2×C4×C47C22×D412yes—
275C2×C4×C47C22×D412yes—
276C2×C4×C47C22×D411yescharacteristic
277C2×C4×C472−1+412yes—
278C2×C4×C472−1+412yes—
279C2×C4×C47C2511yescharacteristic
280C2×Dic47—22no—
281C2×Dic47—22no—
282C2×Dic47—22no—
283C2×Dic47—22no—
284C2×Dic47—22no—
285C2×Dic47—22no—
286C2×Dic47—22no—
287C2×Dic47—22no—
288C2×Dic47—42no—
289C2×Dic47—42no—
290C2×Dic47—42no—
291C2×Dic47—42no—
292C2×Dic47—42no—
293C2×Dic47—42no—
294C2×Dic47—42no—
295C2×Dic47—42no—
296C2×Dic47—84no—
297Dic94—22no—
298Dic94—22no—
299Dic94—22no—
300Dic94—22no—
301Dic94—42no—
302Dic94—42no—
303Dic94—84no—
304Dic94—84no—
305C8×C47—22no—
306C8×C47—22no—
307C8×C47—22no—
308C8×C47—22no—
309C2×#3242—471nomaximal, Sylow
310C22×C47—22no—
311C22×C47—22no—
312C22×C47—22no—
313C22×C47—44no—
314C22×C47#53612yes—
315C22×C47#57712yes—
316C22×C47#57812yes—
317C22×C47C23×D411yescharacteristic
318C4×C47—22no—
319C4×C47—22no—
320C4×C47—22no—
321C4×C47—22no—
322C4×C47—22no—
323C4×C47#53612yes—
324C4×C47C2×2−1+411yescharacteristic
325C4×C47C2×2−1+411yescharacteristic
326Dic47—42no—
327Dic47—42no—
328Dic47—42no—
329Dic47—42no—
330Dic47—42no—
331Dic47—42no—
332Dic47—42no—
333Dic47—42no—
334C2×#544—471no—
335C2×#541—471no—
336#3242—4716no—
337C2×#501—471no—
338C2×#499—471no—
339C2×#491—471no—
340C2×#487—471no—
341C2×#484—471no—
342C2×#485—471no—
343C2×#485—471no—
344C2×#483—471no—
345C2×#479—471no—
346C2×#479—471no—
347C2×#477—471no—
348C2×#475—471no—
349C2×#433D4711yescharacteristic
350C2×C47—42no—
351C2×C47#324214yescomplemented
352C2×C47C2×#53611yescharacteristic
353C2×C47C2×#57711yescharacteristic
354C2×C47C2×#57811yescharacteristic
355#544—478no—
356#544—944no—
357#541—478no—
358#541—944no—
359C2×C4⋊Q8—471no—
360C2×C4⋊Q8—471no—
361C2×C4⋊Q8—471no—
362C2×C4⋊Q8—941no—
363C2×#126—941no—
364C2×#126—941no—
365C2×#125—471no—
366C2×#125—471no—
367C2×#125—471no—
368C2×#125—941no—
369C2×#125—941no—
370C2×#125—941no—
371C2×C22⋊Q8—471no—
372C2×C22⋊Q8—471no—
373C2×C22⋊Q8—941no—
374C2×C22⋊Q8—941no—
375C2×C4×Q8—471no—
376C2×C4×Q8—471no—
377C2×#117—471no—
378C2×#117C2×D4711yescharacteristic
379C22×C4⋊C4—471no—
380#501—478no—
381#499—478no—
382#491—478no—
383#487—478no—
384#485—478no—
385#485—478no—
386#484—478no—
387#483—478no—
388#479—478no—
389#479—478no—
390#477—478no—
391#475—478no—
392#433C2×D4718yes—
393C2×#107—471no—
394C2×#107—471no—
395C2×#107—471no—
396C2×#107—471no—
397C2×#106—471no—
398C2×#106—471no—
399C2×#106—471no—
400C2×#106—471no—
401C2×C4⋊C8C2×D4711yescharacteristic
402C2×C4⋊C8C2×D4711yescharacteristic
403C2×#103—471no—
404C2×#103—471no—
405C2×#103—471no—
406C2×#103—471no—
407C2×#103—471no—
408C2×#103—471no—
409C2×#103—471no—
410C2×#103—471no—
411C2×C22⋊C8C2×D4711yescharacteristic
412C2×C22⋊C8C2×D4711yescharacteristic
413C2×#97C2×D4711yescharacteristic
414C2×C4×C8C2×D4711yescharacteristic
415C47C2×#324211yescharacteristic, complemented, Sylow
416C22×Q8—471no—
417C22×Q8—471no—
418C22×Q8—941no—
419C22×Q8—941no—
420C23×C4—941no—
421C23×C4C22×D4711yescharacteristic
422C22×C8C22×D4711yescharacteristic
423C22×C8C22×D4711yescharacteristic
424C22×C8C22×D4711yescharacteristic
425C22×C8C22×D4711yescharacteristic
426C4⋊Q8—474no—
427C4⋊Q8—474no—
428C4⋊Q8—474no—
429C4⋊Q8—948no—
430C4⋊Q8—942no—
431C4⋊Q8—942no—
432C4⋊Q8—942no—
433#126—948no—
434#126—948no—
435#125—474no—
436#125—474no—
437#125—474no—
438#125—948no—
439#125—948no—
440#125—948no—
441#125—942no—
442#125—942no—
443#125—942no—
444C22⋊Q8—474no—
445C22⋊Q8—474no—
446C22⋊Q8—942no—
447C22⋊Q8—942no—
448C22⋊Q8—948no—
449C22⋊Q8—948no—
450C4×Q8—474no—
451C4×Q8—474no—
452C4×Q8—942no—
453C4×Q8—942no—
454#117—474no—
455#117—942no—
456#117D18814yes—
457#117C22×D4714yes—
458C2×C4⋊C4—471no—
459C2×C4⋊C4—471no—
460C2×C4⋊C4—474no—
461C2×C4⋊C4—471no—
462C2×C4⋊C4—471no—
463C2×C4⋊C4—471no—
464C2×C4⋊C4—471no—
465C2×C4⋊C4—941no—
466C2×C4⋊C4—942no—
467C2×C4⋊C4—941no—
468C2×C4⋊C4—941no—
469C2×C4⋊C4—941no—
470C2×C4⋊C4—941no—
471C2×C4⋊C4—941no—
472C2×C4⋊C4—941no—
473C2×C4⋊C4—941no—
474C2×C4⋊C4—941no—
475C2×C4⋊C4—941no—
476C2×C4⋊C4—941no—
477C2×C4⋊C4—941no—
478C2×C4⋊C4—941no—
479C2×C4⋊C4—941no—
480C2×C4⋊C4—941no—
481C2×C4⋊C4D18811yescharacteristic
482C2×C4⋊C4D18811yescharacteristic
483C2×C22⋊C4—941no—
484C2×C22⋊C4—941no—
485C2×C22⋊C4—941no—
486C2×C22⋊C4D18811yescharacteristic
487C2×C22⋊C4D18811yescharacteristic
488C2×C42—941no—
489C2×C42—941no—
490C2×C42—941no—
491C2×C42C22×D4711yescharacteristic
492C2×C42C22×D4711yescharacteristic
493#107—474no—
494#107—474no—
495#107—474no—
496#107—474no—
497#106—474no—
498#106—474no—
499#106—474no—
500#106—474no—
501C4⋊C8C22×D4714yes—
502C4⋊C8C22×D4714yes—
503#103—474no—
504#103—474no—
505#103—474no—
506#103—474no—
507#103—474no—
508#103—474no—
509#103—474no—
510#103—474no—
511C22⋊C8C22×D4714yes—
512C22⋊C8C22×D4714yes—
513#97C22×D4714yes—
514C4×C8C22×D4714yes—
515C24C2×D18811yescharacteristic
516C2×Q8—472no—
517C2×Q8—472no—
518C2×Q8—944no—
519C2×Q8—944no—
520C2×Q8—941no—
521C2×Q8—941no—
522C2×Q8—942no—
523C2×Q8—942no—
524C2×Q8—942no—
525C2×Q8—942no—
526C2×Q8—3762no—
527C2×Q8—3762no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—944no—
531C22×C4—941no—
532C22×C4—941no—
533C22×C4—941no—
534C22×C4—941no—
535C22×C4—941no—
536C22×C4—941no—
537C22×C4—941no—
538C22×C4—941no—
539C22×C4—3762no—
540C22×C4C2×D18812yes—
541C22×C4C2×D18811yescharacteristic
542C22×C4C2×D18811yescharacteristic
543C22×C4C2×D18811yescharacteristic
544C22×C4C2×D18811yescharacteristic
545C22×C4C2×D18811yescharacteristic
546C22×C4C23×D4712yes—
547C22×C4C23×D4711yescharacteristic
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8C23×D4712yes—
553C2×C8C23×D4712yes—
554C2×C8C23×D4712yes—
555C2×C8C23×D4712yes—
556C4⋊C4—472no—
557C4⋊C4—472no—
558C4⋊C4—472no—
559C4⋊C4—472no—
560C4⋊C4—472no—
561C4⋊C4—472no—
562C4⋊C4—944no—
563C4⋊C4—944no—
564C4⋊C4—944no—
565C4⋊C4—944no—
566C4⋊C4—944no—
567C4⋊C4—944no—
568C4⋊C4—944no—
569C4⋊C4—944no—
570C4⋊C4—944no—
571C4⋊C4—944no—
572C4⋊C4—944no—
573C4⋊C4—941no—
574C4⋊C4—941no—
575C4⋊C4—941no—
576C4⋊C4—941no—
577C4⋊C4—941no—
578C4⋊C4—941no—
579C4⋊C4—944no—
580C4⋊C4—944no—
581C4⋊C4—944no—
582C4⋊C4—944no—
583C4⋊C4C2×D18814yes—
584C4⋊C4C2×D18814yes—
585C22⋊C4—944no—
586C22⋊C4—944no—
587C22⋊C4—944no—
588C22⋊C4C2×D18814yes—
589C22⋊C4C2×D18814yes—
590C42—944no—
591C42—944no—
592C42—944no—
593C42C2×D18812yes—
594C42C2×D18812yes—
595C42C23×D4712yes—
596C42C23×D4712yes—
597C23—22no—
598C23—22no—
599C23—22no—
600C23C22×D18812yes—
601C23C22×D18811yescharacteristic
602Q8—942no—
603Q8—942no—
604Q8—942no—
605Q8—942no—
606Q8—3764no—
607Q8—3764no—
608Q8—1882no—
609Q8—1882no—
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—942no—
619C2×C4—942no—
620C2×C4—942no—
621C2×C4—942no—
622C2×C4—942no—
623C2×C4—942no—
624C2×C4—942no—
625C2×C4—942no—
626C2×C4—3764no—
627C2×C4—1882no—
628C2×C4—1882no—
629C2×C4—1882no—
630C2×C4—1882no—
631C2×C4—1882no—
632C2×C4—1882no—
633C2×C4—1882no—
634C2×C4—1882no—
635C2×C4C22×D18812yes—
636C2×C4C22×D18812yes—
637C2×C4C22×D18812yes—
638C2×C4C22×D18812yes—
639C2×C4C22×D18812yes—
640C2×C4C22×D18811yescharacteristic
641C2×C4#1309407112yes—
642C2×C4#1309407112yes—
643C2×C4C24×D4711yescharacteristic
644C8—22no—
645C8—22no—
646C8—22no—
647C8—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—44no—
652C22#1568969912yes—
653C22#1568993512yes—
654C22#1568994012yes—
655C22C23×D18811yescharacteristic
656C4—22no—
657C4—22no—
658C4—22no—
659C4—22no—
660C4—22no—
661C4—1882no—
662C4—1882no—
663C4—1882no—
664C4—1882no—
665C4—1882no—
666C4—1882no—
667C4—1882no—
668C4—1882no—
669C4#1568969912yes—
670C4C2×#1309407111yescharacteristic
671C4C2×#1309407111yescharacteristic
672C2—42no—
673C2#2025465814yesdirect product factor
674C2C2×#1568969911yescharacteristic
675C2C2×#1568993511yescharacteristic
676C2C2×#1568994011yescharacteristic
subgroupG/H
centerC23C22×D188
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#433C2
socleC23×C47C22×D4
prime radicalC24×C47C2×D4
hypercenterC2×#433D47
hypocenterC47C2×#3242
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
3. #20254658C2direct (N × H)
4. C2×#15689532C2semidirect
5. C2×#15689525C2semidirect
6. C2×#15689492C2semidirect
7. C2×#15689474C2semidirect
12. C2×#15689431C2semidirect
13. C2×#15689431C2semidirect
14. C2×#15689419C2semidirect
15. C2×#15689409C2semidirect
41. #15689532C22semidirect
42. #15689525C22semidirect
43. #15689492C22semidirect
44. #15689474C22semidirect
49. #15689431C22semidirect
50. #15689431C22semidirect
51. #15689419C22semidirect
52. #15689409C22semidirect
351. C2×C47#3242semidirect
415. C47C2×#3242semidirect
673. C2#20254658direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156897512
C2×#156897352
#202546582
C2×#156895322
C2×#156895252
C2×#156894922
C2×#156894742
C2×#156894592
C2×#156894652
C2×#156894542
C2×#156894312
C2×#156894192
C2×#156894092
C2×C47×#4332
C2×#324247