Finite Group Databasebeta

← C4×#16839965 #29686196

Subgroups — C4×#16839965 #29686196

Order 15616.

1104 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839965C211yesmaximal, characteristic
2C2×C4×#11758200C211yesmaximal, characteristic
3C4×#14519775C211yesmaximal, characteristic, complemented
4C4×D4×Dic61C211yesmaximal, characteristic
5#21446740C211yesmaximal, characteristic, complemented
6#21446579C211yesmaximal, characteristic, complemented
7#21446456C211yesmaximal, characteristic, complemented
8#21446452C211yesmaximal, characteristic, complemented
9#21446155C211yesmaximal, characteristic
10#21446151C211yesmaximal, characteristic
11#21445817C211yesmaximal, characteristic
12C4×#14519706C211yesmaximal, characteristic, complemented
13C4×#14519702C211yesmaximal, characteristic, complemented
14C4×#14519701C211yesmaximal, characteristic, complemented
15C2×C4×SD16×C61C211yesmaximal, characteristic
16C22×#11758200C2211yescharacteristic
17C2×#14519775C2211yescharacteristic
18C2×C4×Dic122C2211yescharacteristic
19C2×D4×Dic61C2211yescharacteristic
20C2×D4×Dic61C2211yescharacteristic
21C22×C4×Dic61—21no—
22#16839965C418yesdirect product factor
23C4×#11758200—24no—
24C2×#14519708C2211yescharacteristic
25C2×#14519706C2211yescharacteristic
26C2×#14519706C2211yescharacteristic
27C2×#14519702C2211yescharacteristic
28C2×#14519702C2211yescharacteristic
29C2×#14519701C2211yescharacteristic
30C2×#14519701C2211yescharacteristic
31C2×#14519700C2211yescharacteristic
32C2×#14519698C2211yescharacteristic
33C2×C4×#92418C2211yescharacteristic
34#16839669C2211yescharacteristic
35#16839667C2211yescharacteristic
36#16839657—21no—
37#16839657—21no—
38#16839631C2211yescharacteristic
39C4⋊C4×Dic61C2211yescharacteristic
40C4⋊C4×Dic61C2211yescharacteristic
41C4×#11758196—21no—
42C4×#11758196—21no—
43C4×C4⋊Dic61C2211yescharacteristic
44C22⋊C4×Dic61—21no—
45C22⋊C4×Dic61—21no—
46C4×C22⋊Dic61—21no—
47C42×Dic61C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839516C2211yescharacteristic
53#16839516C2211yescharacteristic
54C22×SD16×C61C2211yescharacteristic
55C2×C4×Q8×C61C2211yescharacteristic
56C2×C4×D4×C61C2211yescharacteristic
57C4×SD16×C61—24no—
58C2×#106×C61C2211yescharacteristic
59C2×#103×C61C2211yescharacteristic
60C2×#102×C61C2211yescharacteristic
61C2×C4×C8×C61C2211yescharacteristic
62C22×Dic122C2311yescharacteristic
63C23×Dic61—21no—
64C23×Dic61—21no—
65C2×#11758200—22no—
66C2×#11758200—22no—
67C2×#11758200C2×C414yes—
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70#14519775—22no—
71#14519775C2×C414yescomplemented
72C4×Dic122—22no—
73C4×Dic122—22no—
74D4×Dic61—22no—
75D4×Dic61—22no—
76D4×Dic61—22no—
77D4×Dic61C2×C414yes—
78C2×C4⋊Dic61C2311yescharacteristic
79C2×C4⋊Dic61C2311yescharacteristic
80C2×C4⋊Dic61C2311yescharacteristic
81C2×#11758196—21no—
82C2×#11758196—21no—
83C2×#11758196—21no—
84C2×#11758196—21no—
85C2×#11758196—21no—
86C2×C22⋊Dic61—21no—
87C2×C22⋊Dic61—21no—
88C2×C4×Dic61—21no—
89C2×C4×Dic61—21no—
90C2×C4×Dic61—21no—
91C2×C4×Dic61—21no—
92C2×C4×Dic61—44no—
93C2×C4×Dic61D411yescharacteristic
94C2×C4×Dic61D411yescharacteristic
95C2×C4×Dic61D411yescharacteristic
96C2×C4×Dic61D411yescharacteristic
97C2×C4×Dic61C2311yescharacteristic
98C2×C4×Dic61C2311yescharacteristic
99#14519708—22no—
100#14519706—22no—
101#14519706C2×C414yescomplemented
102#14519702—22no—
103#14519702C2×C414yescomplemented
104#14519701—22no—
105#14519701C2×C414yescomplemented
106#14519700—22no—
107#14519698—22no—
108C4×#92418—22no—
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112#14519684—21no—
113#14519684—21no—
114#14519684—21no—
115#14519684—21no—
116C22×Q8×C61C2311yescharacteristic
117C22×D4×C61C2311yescharacteristic
118C23×C4×C61—21no—
119C2×SD16×C61—22no—
120C2×SD16×C61—22no—
121C2×SD16×C61C2×C414yes—
122C22×C8×C61C2311yescharacteristic
123C22×C8×C61C2311yescharacteristic
124C4×Q8×C61—22no—
125C4×Q8×C61—22no—
126C4×D4×C61—22no—
127C4×D4×C61D414yes—
128C2×C4⋊C4×C61—21no—
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C22⋊C4×C61—21no—
132C2×C42×C61—21no—
133C2×C42×C61C2311yescharacteristic
134#106×C61—22no—
135#103×C61—22no—
136#102×C61—22no—
137C4×C8×C61—22no—
138C24×C61—21no—
139C2×Q8×C61—21no—
140C2×Q8×C61—21no—
141C2×Q8×C61—21no—
142C2×Q8×C61—21no—
143C2×Q8×C61—21no—
144C2×Q8×C61C22×C412yes—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61C22×C412yes—
149C2×D4×C61C2×D412yes—
150C2×D4×C61#4112yes—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—24no—
154C22×C4×C61—21no—
155C22×C4×C61—42no—
156C22×C4×C61—42no—
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2411yescharacteristic
160C22×Dic61—24no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—21no—
164C22×Dic61—24no—
165C22×Dic61—21no—
166C22×Dic61—42no—
167C22×Dic61—42no—
168C22×Dic61—42no—
169C22×Dic61—42no—
170C22×Dic61C2×D411yescharacteristic
171C22×Dic61C2×D411yescharacteristic
172C22×Dic61C2×D411yescharacteristic
173C22×Dic61C2×D411yescharacteristic
174C2×Dic122—21no—
175C2×Dic122—21no—
176C2×Dic122—21no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122C22×C412yes—
180SD16×C61—28no—
181C2×C8×C61—21no—
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61C22×C412yes—
187C4⋊C4×C61—21no—
188C4⋊C4×C61—21no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—42no—
191C4⋊C4×C61C2×D412yes—
192C22⋊C4×C61—24no—
193C42×C61—42no—
194C42×C61C2×D412yes—
195C42×C61#4112yes—
196C22⋊Dic61—24no—
197C22⋊Dic61—24no—
198#11758200—28no—
199C4⋊Dic61—21no—
200C4⋊Dic61—21no—
201C4⋊Dic61—21no—
202C4⋊Dic61—21no—
203C4⋊Dic61C22×C412yes—
204C4⋊Dic61#4112yes—
205#11758196—24no—
206#11758196—24no—
207#11758196—42no—
208#11758196—42no—
209#11758196—42no—
210C4×Dic61—22no—
211C4×Dic61—21no—
212C4×Dic61—21no—
213C4×Dic61—22no—
214C4×Dic61—41no—
215C4×Dic61—42no—
216C4×Dic61—42no—
217C4×Dic61—42no—
218C4×Dic61—42no—
219C4×Dic61SD1614yescomplemented
220C4×Dic61C22×C412yes—
221C4×Dic61#4112yes—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418C22×C412yes—
228C23×C61—22no—
229C23×C61—22no—
230C23×C61—22no—
231C23×C61—41no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61C22×D411yescharacteristic
236Q8×C61—22no—
237Q8×C61—22no—
238Q8×C61—41no—
239Q8×C61—41no—
240D4×C61—22no—
241D4×C61—22no—
242D4×C61—22no—
243D4×C61C4×D414yes—
244C2×C4×C61—21no—
245C2×C4×C61—21no—
246C2×C4×C61—22no—
247C2×C4×C61—22no—
248C2×C4×C61—41no—
249C2×C4×C61—41no—
250C2×C4×C61—41no—
251C2×C4×C61—41no—
252C2×C4×C61—48no—
253C2×C4×C61—41no—
254C2×C4×C61—41no—
255C2×C4×C61—41no—
256C2×C4×C61#12112yes—
257C2×C4×C61#12112yes—
258C2×C4×C61C2×SD1612yes—
259C2×C4×C61#13712yes—
260C2×C4×C61C23×C411yescharacteristic
261C2×C4×C61C22×D411yescharacteristic
262C2×C4×C61C2×#4111yescharacteristic
263C2×C4×C61C2×#4111yescharacteristic
264C2×C4×C61C2×#4111yescharacteristic
265C2×C4×C61C2×#4111yescharacteristic
266C2×Dic61—21no—
267C2×Dic61—21no—
268C2×Dic61—21no—
269C2×Dic61—21no—
270C2×Dic61—22no—
271C2×Dic61—22no—
272C2×Dic61—21no—
273C2×Dic61—22no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—48no—
277C2×Dic61—41no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—48no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61C4×D412yes—
288C2×Dic61C4×D412yes—
289C2×Dic61C2×SD1612yes—
290C2×Dic61C2×SD1612yes—
291C2×Dic61#13512yes—
292Dic122—22no—
293Dic122—22no—
294Dic122—41no—
295Dic122—41no—
296C8×C61—22no—
297C8×C61—41no—
298#92418—22no—
299#92418—41no—
300C4×#461—611nomaximal, Sylow
301C22×C61—24no—
302C22×C61—42no—
303C22×C61—42no—
304C22×C61—42no—
305C22×C61—42no—
306C22×C61—42no—
307C22×C61—42no—
308C22×C61C2×C4×D411yescharacteristic
309C22×C61C2×#12111yescharacteristic
310C22×C61#52511yescharacteristic
311C22×C61C22×SD1611yescharacteristic
312C22×C61C2×#13511yescharacteristic
313C22×C61C2×#13711yescharacteristic
314C22×C61#57511yescharacteristic
315C4×C61—22no—
316C4×C61—42no—
317C4×C61—42no—
318C4×C61—81no—
319C4×C61#46114yescomplemented
320C4×C61C2×C4×D411yescharacteristic
321C4×C61C4×#4111yescharacteristic
322C4×C61#52911yescharacteristic
323C4×C61#53211yescharacteristic
324Dic61—22no—
325Dic61—22no—
326Dic61—42no—
327Dic61—41no—
328Dic61—42no—
329Dic61—42no—
330Dic61—81no—
331Dic61C4×SD1614yescomplemented
332C2×#461—611no—
333C2×C4×SD16—611no—
334C2×C4×SD16D6111yescharacteristic
335C4×C4⋊Q8—611no—
336C42×D4—611no—
337#1981—611no—
338#1948—611no—
339#1927—611no—
340#1927—611no—
341#1877—611no—
342#1877—611no—
343#1802—611no—
344C4×C4⋊C8—611no—
345C4×#103—611no—
346C4×#103—611no—
347C2×C61—44no—
348C2×C61C4×#12111yescharacteristic
349C2×C61C2×C4×SD1611yescharacteristic
350C2×C61C4×#13711yescharacteristic
351C2×C61C2×#46111yescharacteristic
352C2×C61#303511yescharacteristic
353C2×C61#310111yescharacteristic
354C2×C61#310711yescharacteristic
355C22×SD16—611no—
356C22×SD16C2×D6111yescharacteristic
357C2×C4⋊Q8—611no—
358C2×C4×Q8—611no—
359C2×C4×Q8C2×D6111yescharacteristic
360C2×C4×D4—611no—
361C2×C4×D4—611no—
362C2×C4×D4C2×D6111yescharacteristic
363C22×C42—1221no—
364#461—618no—
365C4×SD16—24no—
366C4×SD16—1224no—
367C2×#106—611no—
368C2×#106C2×D6111yescharacteristic
369C2×C4⋊C8—611no—
370C2×C4⋊C8—611no—
371C2×#103—611no—
372C2×#103—611no—
373C2×#103—611no—
374C2×#103—611no—
375C2×#103—611no—
376C2×#103C2×D6111yescharacteristic
377C2×#102—611no—
378C2×#102C2×D6111yescharacteristic
379C2×C4×C8—611no—
380C2×C4×C8C2×D6111yescharacteristic
381#391—611no—
382#391—611no—
383#389—1221no—
384#389—1221no—
385#384—611no—
386C4×C4⋊C4—611no—
387C4×C4⋊C4—611no—
388C4×C4⋊C4—611no—
389C4×C4⋊C4—1221no—
390C4×C4⋊C4—1221no—
391C4×C22⋊C4—1221no—
392C4×C22⋊C4—1221no—
393C4×C22⋊C4—1221no—
394C43—611no—
395#340—611no—
396#340—611no—
397#340—611no—
398#340—611no—
399#336—611no—
400#336—611no—
401C61C4×#46111yescharacteristic, complemented, Sylow
402C22×Q8—611no—
403C22×Q8C22×D6111yescharacteristic
404C22×D4C22×D6111yescharacteristic
405C23×C4—21no—
406C23×C4—1221no—
407C23×C4—1221no—
408C2×SD16—22no—
409C2×SD16—22no—
410C2×SD16—614no—
411C2×SD16—1222no—
412C2×SD16—1222no—
413C2×SD16C4×D6114yes—
414C22×C8—611no—
415C22×C8—611no—
416C22×C8C22×D6111yescharacteristic
417C22×C8C22×D6111yescharacteristic
418C4⋊Q8—614no—
419C4⋊Q8—1222no—
420C4×Q8—22no—
421C4×Q8—22no—
422C4×Q8—1222no—
423C4×Q8—1222no—
424C4×D4—22no—
425C4×D4—614no—
426C4×D4—1222no—
427C4×D4—1222no—
428C4×D4—1222no—
429C4×D4C22⋊D6114yes—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—611no—
432C2×C4⋊C4—611no—
433C2×C4⋊C4—611no—
434C2×C4⋊C4—1221no—
435C2×C4⋊C4—1221no—
436C2×C4⋊C4—1221no—
437C2×C4⋊C4—1221no—
438C2×C4⋊C4—1221no—
439C2×C4⋊C4C22×D6111yescharacteristic
440C2×C4⋊C4C22×D6111yescharacteristic
441C2×C22⋊C4—21no—
442C2×C22⋊C4—1221no—
443C2×C22⋊C4—1221no—
444C2×C42—21no—
445C2×C42—611no—
446C2×C42—611no—
447C2×C42—611no—
448C2×C42—611no—
449C2×C42—611no—
450C2×C42—611no—
451C2×C42—1221no—
452C2×C42—1221no—
453C2×C42—1221no—
454C2×C42—1221no—
455C2×C42—2444no—
456C2×C42C22×D6111yescharacteristic
457#106—22no—
458#106—1222no—
459C4⋊C8—614no—
460C4⋊C8—1222no—
461#103—22no—
462#103—614no—
463#103—614no—
464#103—1222no—
465#103—1222no—
466#103—1222no—
467#102—22no—
468#102—1222no—
469C4×C8—22no—
470C4×C8—1222no—
471#95—1221no—
472#95—1221no—
473#95—1221no—
474#95—1221no—
475#95—1221no—
476#95—1221no—
477#95—1221no—
478C24—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—612no—
485C2×Q8—1221no—
486C2×Q8—1221no—
487C2×Q8—1221no—
488C2×Q8—1221no—
489C2×Q8—1221no—
490C2×Q8C2×C4×D6112yes—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4C2×C4×D6112yes—
495C2×D4#1175822212yes—
496C2×D4C2×C22⋊D6112yes—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—24no—
500C22×C4—21no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—611no—
504C22×C4—611no—
505C22×C4—611no—
506C22×C4—611no—
507C22×C4—1224no—
508C22×C4—1224no—
509C22×C4—1221no—
510C22×C4—1221no—
511C22×C4—1221no—
512C22×C4—1221no—
513C22×C4—2442no—
514C22×C4—2442no—
515C22×C4—2442no—
516C22×C4—2442no—
517C22×C4D4×D6111yescharacteristic
518C22×C4D4×D6111yescharacteristic
519C22×C4C23×D6111yescharacteristic
520SD16—28no—
521SD16—1228no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—612no—
528C2×C8—1221no—
529C2×C8—1221no—
530C2×C8—1221no—
531C2×C8—1221no—
532C2×C8—1221no—
533C2×C8C2×C4×D6112yes—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—42no—
538C4⋊C4—612no—
539C4⋊C4—612no—
540C4⋊C4—1224no—
541C4⋊C4—1224no—
542C4⋊C4—1221no—
543C4⋊C4—1221no—
544C4⋊C4—1221no—
545C4⋊C4—1221no—
546C4⋊C4—2442no—
547C4⋊C4—2442no—
548C4⋊C4—2442no—
549C4⋊C4C2×C22⋊D6112yes—
550C22⋊C4—24no—
551C22⋊C4—1224no—
552C22⋊C4—1224no—
553C42—42no—
554C42—612no—
555C42—612no—
556C42—614no—
557C42—1222no—
558C42—1221no—
559C42—1221no—
560C42—1222no—
561C42—2441no—
562C42—2442no—
563C42—2442no—
564C42—2442no—
565C42—2442no—
566C42#1175822412yes—
567C42C2×C22⋊D6112yes—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23C2×D4×D6111yescharacteristic
576Q8—22no—
577Q8—22no—
578Q8—41no—
579Q8—41no—
580Q8—1222no—
581Q8—1222no—
582Q8—2441no—
583Q8—2441no—
584D4—22no—
585D4—22no—
586D4—22no—
587D4C4×C22⋊D6114yes—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—48no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—612no—
601C2×C4—612no—
602C2×C4—612no—
603C2×C4—612no—
604C2×C4—612no—
605C2×C4—1221no—
606C2×C4—1221no—
607C2×C4—1221no—
608C2×C4—1221no—
609C2×C4—1222no—
610C2×C4—1222no—
611C2×C4—1221no—
612C2×C4—1222no—
613C2×C4—1221no—
614C2×C4—1221no—
615C2×C4—2448no—
616C2×C4—2448no—
617C2×C4—2441no—
618C2×C4—2441no—
619C2×C4—2441no—
620C2×C4—2441no—
621C2×C4—2441no—
622C2×C4—2441no—
623C2×C4—2441no—
624C2×C4—2441no—
625C2×C4—2441no—
626C2×C4#1451974912yes—
627C2×C4#1451974912yes—
628C2×C4SD16×D6112yes—
629C2×C4#1451980612yes—
630C2×C4C22×C4×D6111yescharacteristic
631C2×C4C22×C22⋊D6111yescharacteristic
632C2×C4#41×D6111yescharacteristic
633C2×C4#41×D6111yescharacteristic
634C2×C4C2×#1175822411yescharacteristic
635C2×C4C2×#1175822211yescharacteristic
636C8—22no—
637C8—41no—
638C8—1222no—
639C8—2441no—
640C22—24no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—42no—
647C22C4×D4×D6111yescharacteristic
648C22C2×#1451974911yescharacteristic
649C22#1684027111yescharacteristic
650C22C2×SD16×D6111yescharacteristic
651C22#135×D6111yescharacteristic
652C22C2×#1451980611yescharacteristic
653C22#1684055911yescharacteristic
654C4—22no—
655C4—42no—
656C4—42no—
657C4—81no—
658C4—614no—
659C4—1222no—
660C4—1222no—
661C4—4881no—
662C4—2441no—
663C4—2442no—
664C4—2442no—
665C4—2442no—
666C4#1683996514yesdirect product factor
667C4C2×C4×C22⋊D6111yescharacteristic
668C4C4×#1175822411yescharacteristic
669C4#1684029211yescharacteristic
670C4#1684030811yescharacteristic
671C2—44no—
672C2C4×#1451974911yescharacteristic
673C2C4×SD16×D6111yescharacteristic
674C2C4×#1451980611yescharacteristic
675C2C2×#1683996511yescharacteristic
676C2#2145527011yescharacteristic
677C2#2145582511yescharacteristic
678C2#2145588611yescharacteristic
subgroupG/H
centerC22×C4D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C4×SD16×C61C2
socleC23×C61C22×D4
prime radicalC22×D4×C61C23
cosocleC22×C4×C61C24
hypercenterC2×C4×SD16D61
hypocenterC61C4×#461
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
3. C4×#14519775C2semidirect
5. #21446740C2semidirect
6. #21446579C2semidirect
7. #21446456C2semidirect
8. #21446452C2semidirect
12. C4×#14519706C2semidirect
13. C4×#14519702C2semidirect
14. C4×#14519701C2semidirect
22. #16839965C4direct (N × H)
71. #14519775C2×C4semidirect
101. #14519706C2×C4semidirect
103. #14519702C2×C4semidirect
105. #14519701C2×C4semidirect
219. C4×Dic61SD16semidirect
319. C4×C61#461semidirect
331. Dic61C4×SD16semidirect
401. C61C4×#461semidirect
666. C4#16839965direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168399652
C2×C4×#117582002
C4×#145197752
C4×D4×Dic612
#214467402
#214465792
#214464562
#214464522
#214461552
#214461512
#214458172
C4×#145197062
C4×#145197022
C4×#145197012
C2×C4×SD16×C612
C4×#46161