Finite Group Databasebeta

← C2×#10612313 #12979018

Subgroups — C2×#10612313 #12979018

Order 1280.

1842 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66005C211yesmaximal, characteristic
2C2×Q8×Dic10C211yesmaximal, characteristic, complemented
3C2×C5×#464C211yesmaximal, characteristic
4C2×#65471C211yesmaximal, characteristic, complemented
5C2×#65473C211yesmaximal, characteristic, complemented
6C2×#65455C211yesmaximal, characteristic
7C2×SD16×Dic5C211yesmaximal, characteristic
8C2×#65344C211yesmaximal, characteristic
9C2×#65319C211yesmaximal, characteristic, complemented
10#10612313C2116yesmaximal, direct product factor
11C2×#65140C211yesmaximal, characteristic, complemented
12C2×#65117C211yesmaximal, characteristic, complemented
13C2×#65081C211yesmaximal, characteristic, complemented
14C2×#65080C211yesmaximal, characteristic, complemented
15C2×#65054C211yesmaximal, characteristic
16C2×#65050C211yesmaximal, characteristic
17C22×C5×Q16C2211yescharacteristic
18C22×C5×SD16C2211yescharacteristic
19C2×C5×#124C2211yescharacteristic
20C2×C4×C5×Q8C2211yescharacteristic
21C2×Q8×Dic5C2211yescharacteristic
22C2×Q8×Dic5C2211yescharacteristic
23C2×Q8×Dic5C2211yescharacteristic
24C2×#4090C2211yescharacteristic
25C22×#689C2211yescharacteristic
26C2×#4082C2211yescharacteristic
27C2×D4×Dic5C2211yescharacteristic
28#66005—24no—
29#66005C2218yes—
30Q8×Dic10—24no—
31Q8×Dic10C2218yescomplemented
32C2×#4034—21no—
33C2×#4034—21no—
34C2×#4034C2211yescharacteristic
35C2×#4034C2211yescharacteristic
36C2×#4025—21no—
37C2×#4025—21no—
38C2×#4024—21no—
39C2×#4023—21no—
40C2×#4015—21no—
41C2×#4015C2211yescharacteristic
42C2×C4×Dic10—21no—
43C2×C4×Dic10C2211yescharacteristic
44C2×C4×Dic10C2211yescharacteristic
45C5×#464C2218yes—
46C2×C5×C4⋊C8C2211yescharacteristic
47C2×C5×#103C2211yescharacteristic
48C2×C5×#102C2211yescharacteristic
49C2×#3967C2211yescharacteristic
50C2×#3967C2211yescharacteristic
51C2×#3967C2211yescharacteristic
52C2×#3964C2211yescharacteristic
53C2×#3964C2211yescharacteristic
54#65473C2218yescomplemented
55#65471C2218yescomplemented
56#65455C2218yes—
57SD16×Dic5C2218yes—
58C2×#3949C2211yescharacteristic
59C2×#3949C2211yescharacteristic
60C2×#3948C2211yescharacteristic
61C2×#3948C2211yescharacteristic
62C2×#3947C2211yescharacteristic
63C2×#3946C2211yescharacteristic
64C2×#3946C2211yescharacteristic
65C2×C8×Dic5C2211yescharacteristic
66#65344C2218yes—
67#65319C2218yescomplemented
68C2×#3942C2211yescharacteristic
69C2×#3940C2211yescharacteristic
70C2×#3935C2211yescharacteristic
71#65140C2218yescomplemented
72#65117C2218yescomplemented
73#65081C2218yescomplemented
74#65080C2218yescomplemented
75#65054C2218yes—
76#65050C2218yes—
77C2×#3369—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×Q8C2311yescharacteristic
80C22×C5×D4C2311yescharacteristic
81C23×Dic5—21no—
82C22×Dic10—21no—
83C22×Dic10—21no—
84C22×Dic10—21no—
85C22×Dic10D411yescharacteristic
86C22×Dic10C2311yescharacteristic
87C2×C5×Q16—24no—
88C2×C5×Q16C2314yes—
89C2×C5×SD16—24no—
90C2×C5×SD16C2314yes—
91C22×C5×C8C2311yescharacteristic
92C22×C5×C8C2311yescharacteristic
93C5×#124—22no—
94C5×#124C2314yes—
95C4×C5×Q8—22no—
96C4×C5×Q8C2314yes—
97C2×C5×C4⋊C4—21no—
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C22⋊C4—21no—
100C2×C5×C22⋊C4—21no—
101C2×C42×C5—21no—
102C2×C42×C5C2311yescharacteristic
103C2×C22⋊Dic5—21no—
104C2×C22⋊Dic5—21no—
105C2×C22⋊Dic5—21no—
106Q8×Dic5—22no—
107Q8×Dic5—22no—
108Q8×Dic5—22no—
109Q8×Dic5C2314yes—
110Q8×Dic5C2314yes—
111Q8×Dic5C2314yes—
112#4090—22no—
113#4090C2314yes—
114C2×#689—24no—
115C2×#689C2314yes—
116#4082—22no—
117#4082C2314yes—
118D4×Dic5—22no—
119D4×Dic5C2314yes—
120C2×C4⋊Dic5—21no—
121C2×C4⋊Dic5—21no—
122C2×C4⋊Dic5—21no—
123C2×C4⋊Dic5—21no—
124C2×C4⋊Dic5D411yescharacteristic
125C2×C4⋊Dic5C2311yescharacteristic
126C2×C4⋊Dic5C2311yescharacteristic
127C2×C4⋊Dic5C2311yescharacteristic
128C2×#683—21no—
129C2×#683—21no—
130C2×#683—21no—
131C2×#683—21no—
132C2×#683—21no—
133C2×#683D411yescharacteristic
134C2×#683D411yescharacteristic
135C2×C4×Dic5—21no—
136C2×C4×Dic5—21no—
137C2×C4×Dic5—21no—
138C2×C4×Dic5—21no—
139C2×C4×Dic5C2311yescharacteristic
140C2×C4×Dic5C2311yescharacteristic
141C22×#168C2311yescharacteristic
142C22×#168C2311yescharacteristic
143#4034—28no—
144#4034—28no—
145#4034—22no—
146#4034—22no—
147#4034C2314yes—
148#4034C2314yes—
149#4025—28no—
150#4025—28no—
151#4024—28no—
152#4023—28no—
153#4015—22no—
154#4015—28no—
155#4015C2314yes—
156C4×Dic10—28no—
157C4×Dic10—22no—
158C4×Dic10D414yes—
159C4×Dic10C2314yes—
160C4×Dic10C2314yes—
161C5×C4⋊C8C2314yes—
162C5×#103C2314yes—
163C5×#102C2314yes—
164#3967C2314yes—
165#3967C2314yes—
166#3967C2314yes—
167#3964C2314yes—
168#3964C2314yes—
169#3949C2314yes—
170#3949C2314yes—
171#3948C2314yes—
172#3948C2314yes—
173#3947C2314yes—
174#3946C2314yes—
175#3946C2314yes—
176C8×Dic5C2314yes—
177#3942C2314yes—
178#3940C2314yes—
179#3935C2314yes—
180C2×Q82—51no—
181C2×#556—51no—
182#3369—516no—
183C2×#489—51no—
184C2×#489—51no—
185C2×#487—51no—
186C2×#475—51no—
187C2×#475—51no—
188C2×#476—51no—
189C2×#464—51no—
190C2×#464D511yescharacteristic
191C2×#462—51no—
192C2×#446—51no—
193C2×#441—51no—
194C2×#441—51no—
195C2×C4×SD16—51no—
196C24×C5—21no—
197C2×C5×Q8—21no—
198C2×C5×Q8—21no—
199C2×C5×Q8—22no—
200C2×C5×Q8—22no—
201C2×C5×Q8—22no—
202C2×C5×Q8#4114yes—
203C2×C5×Q8C2412yes—
204C2×C5×Q8C2412yes—
205C2×C5×D4—21no—
206C2×C5×D4—22no—
207C2×C5×D4—22no—
208C2×C5×D4C2412yes—
209C22×C4×C5—21no—
210C22×C4×C5—21no—
211C22×C4×C5—21no—
212C22×C4×C5C2×D411yescharacteristic
213C22×C4×C5C2×D411yescharacteristic
214C22×C4×C5C2411yescharacteristic
215C22×Dic5—21no—
216C22×Dic5—21no—
217C22×Dic5—21no—
218C22×Dic5—21no—
219C22×Dic5—24no—
220C22×Dic5—44no—
221C22×Dic5C2×D411yescharacteristic
222C22×Dic5C2×D411yescharacteristic
223C22×Dic5C2×D411yescharacteristic
224C22×Dic5C2×D411yescharacteristic
225C2×Dic10—24no—
226C2×Dic10—22no—
227C2×Dic10—22no—
228C2×Dic10—21no—
229C2×Dic10—24no—
230C2×Dic10—24no—
231C2×Dic10—24no—
232C2×Dic10—82no—
233C2×Dic10—82no—
234C2×Dic10—82no—
235C2×Dic10C2×D414yes—
236C2×Dic10C2412yes—
237C5×Q16—28no—
238C5×SD16—28no—
239C2×C5×C8—22no—
240C2×C5×C8—22no—
241C2×C5×C8C2412yes—
242C2×C5×C8C2412yes—
243C5×C4⋊C4—24no—
244C5×C4⋊C4—21no—
245C5×C4⋊C4C2412yes—
246C5×C22⋊C4—24no—
247C5×C22⋊C4—24no—
248C42×C5—24no—
249C42×C5C2×D412yes—
250C42×C5C2412yes—
251C22⋊Dic5—24no—
252C22⋊Dic5—24no—
253C22⋊Dic5—24no—
254#689—28no—
255C4⋊Dic5—24no—
256C4⋊Dic5—21no—
257C4⋊Dic5—21no—
258C4⋊Dic5—21no—
259C4⋊Dic5—24no—
260C4⋊Dic5—24no—
261C4⋊Dic5—24no—
262C4⋊Dic5C2×D414yes—
263C4⋊Dic5C2412yes—
264C4⋊Dic5C2412yes—
265C4⋊Dic5C2412yes—
266#683—24no—
267#683—24no—
268#683—24no—
269#683—24no—
270#683—24no—
271#683C2×D414yes—
272#683C2×D414yes—
273C4×Dic5—24no—
274C4×Dic5—24no—
275C4×Dic5—24no—
276C4×Dic5—24no—
277C4×Dic5C2×D412yes—
278C4×Dic5C2×D412yes—
279C4×Dic5C2412yes—
280C4×Dic5C2412yes—
281C2×#168—22no—
282C2×#168—22no—
283C2×#168C2412yes—
284C2×#168C2412yes—
285C22×Q16—51no—
286C22×Q16C2×D511yescharacteristic
287C22×SD16C2×D511yescharacteristic
288Q82—58no—
289Q82—104no—
290#556—58no—
291#556—104no—
292C2×C4⋊Q8—51no—
293C2×C4⋊Q8—51no—
294C2×C4⋊Q8—51no—
295C2×C4⋊Q8—51no—
296C2×C4⋊Q8—101no—
297C2×C4⋊Q8—101no—
298C2×C4⋊Q8—101no—
299C2×#126—101no—
300C2×#126—101no—
301C2×#124—51no—
302C2×#124C2×D511yescharacteristic
303C2×C22⋊Q8—101no—
304C2×C4×Q8—51no—
305C2×C4×Q8—51no—
306C2×C4×Q8—51no—
307C2×C4×Q8—51no—
308C2×C4×Q8—51no—
309C2×C4×Q8—101no—
310C2×C4×Q8C2×D511yescharacteristic
311C2×C4×D4—51no—
312C2×#117—101no—
313#489—58no—
314#489—58no—
315#487—58no—
316#476—58no—
317#475—58no—
318#475—58no—
319#464—58no—
320#464C2×D518yes—
321#462—58no—
322#446—58no—
323#441—58no—
324#441—58no—
325C4×SD16—58no—
326C2×#106—51no—
327C2×#106—51no—
328C2×#106—51no—
329C2×C4⋊C8—51no—
330C2×C4⋊C8—51no—
331C2×C4⋊C8C2×D511yescharacteristic
332C2×#103—51no—
333C2×#103—51no—
334C2×#103—51no—
335C2×#103—51no—
336C2×#103—51no—
337C2×#103—51no—
338C2×#103C2×D511yescharacteristic
339C2×#102—51no—
340C2×#102—51no—
341C2×#102C2×D511yescharacteristic
342C2×#97—51no—
343C2×#97—51no—
344C2×C4×C8—51no—
345C23×C5—22no—
346C23×C5—42no—
347C23×C5—42no—
348C23×C5—42no—
349C23×C5C22×D411yescharacteristic
350C5×Q8—24no—
351C5×Q8—22no—
352C5×Q8—22no—
353C5×Q8—22no—
354C5×Q8—42no—
355C5×Q8C2×#4114yes—
356C5×D4—22no—
357C5×D4—22no—
358C5×D4—42no—
359C2×C4×C5—24no—
360C2×C4×C5—22no—
361C2×C4×C5—22no—
362C2×C4×C5—22no—
363C2×C4×C5—22no—
364C2×C4×C5—22no—
365C2×C4×C5—42no—
366C2×C4×C5—42no—
367C2×C4×C5C22×D412yes—
368C2×C4×C5C22×D412yes—
369C2×C4×C5C22×D411yescharacteristic
370C2×C4×C5C2×#4112yes—
371C2×C4×C52−1+412yes—
372C2×C4×C5C2511yescharacteristic
373C2×Dic5—22no—
374C2×Dic5—22no—
375C2×Dic5—22no—
376C2×Dic5—22no—
377C2×Dic5—22no—
378C2×Dic5—22no—
379C2×Dic5—22no—
380C2×Dic5—42no—
381C2×Dic5—42no—
382C2×Dic5—42no—
383C2×Dic5—42no—
384C2×Dic5—48no—
385C2×Dic5#13714yes—
386C2×Dic5C22×D412yes—
387C2×Dic5C22×D412yes—
388C2×Dic5C22×D412yes—
389C2×Dic5C22×D412yes—
390Dic10—28no—
391Dic10—22no—
392Dic10—22no—
393Dic10—42no—
394Dic10—84no—
395Dic10—84no—
396Dic10—84no—
397C5×C8—22no—
398C5×C8—22no—
399#168—22no—
400#168—22no—
401C22×Q8—51no—
402C22×Q8—51no—
403C22×Q8—101no—
404C22×Q8—101no—
405C22×Q8—101no—
406C22×Q8C22×D511yescharacteristic
407C22×Q8C22×D511yescharacteristic
408C22×D4C22×D511yescharacteristic
409C23×C4—101no—
410C2×Q16—24no—
411C2×Q16—54no—
412C2×Q16—104no—
413C2×Q16C22×D514yes—
414C2×SD16—24no—
415C2×SD16C22×D514yes—
416C22×C8—51no—
417C22×C8—51no—
418C22×C8C22×D511yescharacteristic
419C22×C8C22×D511yescharacteristic
420C4⋊Q8—54no—
421C4⋊Q8—54no—
422C4⋊Q8—54no—
423C4⋊Q8—54no—
424C4⋊Q8—108no—
425C4⋊Q8—102no—
426C4⋊Q8—102no—
427C4⋊Q8—102no—
428C4⋊Q8—108no—
429C4⋊Q8—108no—
430C4⋊Q8—102no—
431#126—108no—
432#126—108no—
433#124—22no—
434#124—54no—
435#124—102no—
436#124C22×D514yes—
437C22⋊Q8—108no—
438C4×Q8—22no—
439C4×Q8—54no—
440C4×Q8—54no—
441C4×Q8—54no—
442C4×Q8—54no—
443C4×Q8—54no—
444C4×Q8—54no—
445C4×Q8—108no—
446C4×Q8—102no—
447C4×Q8—102no—
448C4×Q8—102no—
449C4×Q8—102no—
450C4×Q8C22×D514yes—
451C4×D4—54no—
452C4×D4—102no—
453#117—108no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—51no—
456C2×C4⋊C4—51no—
457C2×C4⋊C4—51no—
458C2×C4⋊C4—51no—
459C2×C4⋊C4—51no—
460C2×C4⋊C4—51no—
461C2×C4⋊C4—101no—
462C2×C4⋊C4—101no—
463C2×C4⋊C4—101no—
464C2×C4⋊C4—101no—
465C2×C4⋊C4—101no—
466C2×C4⋊C4—101no—
467C2×C4⋊C4—101no—
468C2×C4⋊C4—101no—
469C2×C4⋊C4—101no—
470C2×C4⋊C4C22×D511yescharacteristic
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—101no—
474C2×C22⋊C4—101no—
475C2×C22⋊C4—101no—
476C2×C42—21no—
477C2×C42—51no—
478C2×C42—51no—
479C2×C42—101no—
480C2×C42—101no—
481C2×C42—101no—
482C2×C42—101no—
483C2×C42C22×D511yescharacteristic
484#106—54no—
485#106—54no—
486#106—54no—
487C4⋊C8—54no—
488C4⋊C8—54no—
489C4⋊C8C22×D514yes—
490#103—54no—
491#103—54no—
492#103—54no—
493#103—54no—
494#103—54no—
495#103—54no—
496#103C22×D514yes—
497#102—54no—
498#102—54no—
499#102C22×D514yes—
500#97—54no—
501#97—54no—
502C4×C8—54no—
503C22×C5—42no—
504C22×C5—42no—
505C22×C5—42no—
506C22×C5—84no—
507C22×C5#54812yes—
508C22×C5C2×#13712yes—
509C22×C5#57712yes—
510C22×C5C23×D411yescharacteristic
511C4×C5—24no—
512C4×C5—22no—
513C4×C5—22no—
514C4×C5—42no—
515C4×C5—42no—
516C4×C5#54812yes—
517C4×C5C22×#4111yescharacteristic
518C4×C5C2×2−1+411yescharacteristic
519Dic5—22no—
520Dic5—22no—
521Dic5—22no—
522Dic5—42no—
523Dic5—42no—
524Dic5—42no—
525Dic5—42no—
526Dic5C2×#13714yes—
527C24—21no—
528C2×Q8—21no—
529C2×Q8—21no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8—22no—
533C2×Q8—54no—
534C2×Q8—52no—
535C2×Q8—104no—
536C2×Q8—104no—
537C2×Q8—104no—
538C2×Q8—101no—
539C2×Q8—104no—
540C2×Q8—102no—
541C2×Q8—102no—
542C2×Q8—402no—
543C2×Q8—402no—
544C2×Q8—402no—
545C2×Q8#71114yes—
546C2×Q8C23×D512yes—
547C2×Q8C23×D512yes—
548C2×D4—21no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4C23×D512yes—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—51no—
556C22×C4—51no—
557C22×C4—51no—
558C22×C4—51no—
559C22×C4—104no—
560C22×C4—101no—
561C22×C4—101no—
562C22×C4—101no—
563C22×C4—101no—
564C22×C4—204no—
565C22×C4D4×D511yescharacteristic
566C22×C4D4×D511yescharacteristic
567C22×C4C23×D511yescharacteristic
568Q16—28no—
569Q16—108no—
570SD16—28no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—52no—
574C2×C8—52no—
575C2×C8—102no—
576C2×C8—102no—
577C2×C8C23×D512yes—
578C2×C8C23×D512yes—
579C4⋊C4—24no—
580C4⋊C4—21no—
581C4⋊C4—54no—
582C4⋊C4—54no—
583C4⋊C4—54no—
584C4⋊C4—52no—
585C4⋊C4—52no—
586C4⋊C4—52no—
587C4⋊C4—104no—
588C4⋊C4—104no—
589C4⋊C4—104no—
590C4⋊C4—104no—
591C4⋊C4—104no—
592C4⋊C4—104no—
593C4⋊C4—104no—
594C4⋊C4—101no—
595C4⋊C4—101no—
596C4⋊C4—101no—
597C4⋊C4—104no—
598C4⋊C4—104no—
599C4⋊C4C23×D512yes—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—104no—
603C22⋊C4—104no—
604C22⋊C4—104no—
605C42—24no—
606C42—52no—
607C42—52no—
608C42—52no—
609C42—52no—
610C42—104no—
611C42—104no—
612C42—104no—
613C42—104no—
614C42D4×D512yes—
615C42C23×D512yes—
616C2×C5—82no—
617C2×C5#336914yescomplemented
618C2×C5C2×#54811yescharacteristic
619C2×C5C22×#13711yescharacteristic
620C2×C5C2×#57711yescharacteristic
621C23—22no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23C2×D4×D511yescharacteristic
626Q8—24no—
627Q8—22no—
628Q8—22no—
629Q8—22no—
630Q8—42no—
631Q8—108no—
632Q8—102no—
633Q8—102no—
634Q8—202no—
635Q8—404no—
636Q8—404no—
637Q8—404no—
638Q8C2×#71114yes—
639D4—22no—
640D4—22no—
641D4—42no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—54no—
651C2×C4—52no—
652C2×C4—52no—
653C2×C4—52no—
654C2×C4—52no—
655C2×C4—102no—
656C2×C4—102no—
657C2×C4—102no—
658C2×C4—102no—
659C2×C4—102no—
660C2×C4—102no—
661C2×C4—102no—
662C2×C4—208no—
663C2×C4—202no—
664C2×C4—202no—
665C2×C4—202no—
666C2×C4—202no—
667C2×C4C2×D4×D512yes—
668C2×C4C2×D4×D512yes—
669C2×C4C2×D4×D511yescharacteristic
670C2×C4C2×#71112yes—
671C2×C4#415012yes—
672C2×C4C24×D511yescharacteristic
673C8—22no—
674C8—22no—
675C8—102no—
676C8—102no—
677C5C2×#336911yescharacteristic, complemented, Sylow
678C22—42no—
679C22—42no—
680C22—42no—
681C22—84no—
682C22#6593212yes—
683C22#6610412yes—
684C22D5×#13712yes—
685C22C22×D4×D511yescharacteristic
686C4—22no—
687C4—22no—
688C4—24no—
689C4—42no—
690C4—42no—
691C4—54no—
692C4—102no—
693C4—102no—
694C4—102no—
695C4—202no—
696C4—202no—
697C4—202no—
698C4—202no—
699C4#6593212yes—
700C4C22×#71111yescharacteristic
701C4C2×#415011yescharacteristic
702C2—82no—
703C2#1061231314yesdirect product factor
704C2C2×#6593211yescharacteristic
705C2C2×#6610411yescharacteristic
706C2C2×D5×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#464C2
socleC23×C5C22×D4
prime radicalC22×C5×D4C23
hypercenterC2×#464D5
hypocenterC5C2×#3369
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#464

Complements

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

NH ≅ G/Ntype
2. C2×Q8×Dic10C2semidirect
4. C2×#65471C2semidirect
5. C2×#65473C2semidirect
9. C2×#65319C2semidirect
10. #10612313C2direct (N × H)
11. C2×#65140C2semidirect
12. C2×#65117C2semidirect
13. C2×#65081C2semidirect
14. C2×#65080C2semidirect
31. Q8×Dic10C22semidirect
54. #65473C22semidirect
55. #65471C22semidirect
67. #65319C22semidirect
71. #65140C22semidirect
72. #65117C22semidirect
73. #65081C22semidirect
74. #65080C22semidirect
617. C2×C5#3369semidirect
677. C5C2×#3369semidirect
703. C2#10612313direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660052
C2×Q8×Dic102
C2×C5×#4642
C2×#654712
C2×#654732
C2×#654552
C2×SD16×Dic52
C2×#653442
C2×#653192
#106123132
C2×#651402
C2×#651172
C2×#650812
C2×#650802
C2×#650542
C2×#650502
C2×#33695