Finite Group Databasebeta

← #28649292

Subgroups — #28649292

Order 15104.

874 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×C4⋊Dic59C211yesmaximal, characteristic
2#21425654C211yesmaximal, characteristic, complemented
3#21425533C211yesmaximal, characteristic, complemented
4#21425504C211yesmaximal, characteristic, complemented
5#21425289C211yesmaximal, characteristic, complemented
6#21424727C211yesmaximal, characteristic, complemented
7#21424678C211yesmaximal, characteristic, complemented
8#21424520C211yesmaximal, characteristic, complemented
9#21424404C211yesmaximal, characteristic, complemented
10#21424404C211yesmaximal, characteristic, complemented
11#21424389C211yesmaximal, characteristic
12#21424289C211yesmaximal, characteristic, complemented
13#21424180C211yesmaximal, characteristic, complemented
14C2×#16837164C211yesmaximal, characteristic, complemented
15C59×#2417C211yesmaximal, characteristic
16C23×C59⋊C8C2211yescharacteristic
17C2×D4×Dic59—21no—
18C22×C4⋊Dic59C2211yescharacteristic
19C22×C4⋊Dic59C2211yescharacteristic
20C2×#14273658C2211yescharacteristic
21C2×#14273658C2211yescharacteristic
22C2×#14273651C2211yescharacteristic
23C2×#14273651C2211yescharacteristic
24C2×#14273651C2211yescharacteristic
25C2×#14273651C2211yescharacteristic
26C2×C22⋊(C59⋊C8)C2211yescharacteristic
27C2×C22⋊(C59⋊C8)C2211yescharacteristic
28C2×C22⋊(C59⋊C8)C2211yescharacteristic
29#16837301—21no—
30#16837277—21no—
31#16837277—21no—
32#16837272C2211yescharacteristic
33#16837262C2211yescharacteristic
34#16837262C2211yescharacteristic
35C4×C4⋊Dic59C2211yescharacteristic
36#16837164C2211yescharacteristic
37#16837164C2211yescharacteristic
38#16837164C2211yescharacteristic
39#16837164C2211yescharacteristic
40#16837164C2211yescharacteristic
41#16837164C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837157C2211yescharacteristic
47#16837157C2211yescharacteristic
48C2×C22⋊Q8×C59C2211yescharacteristic
49C2×C22⋊Q8×C59C2211yescharacteristic
50C2×C4×D4×C59C2211yescharacteristic
51C22×C4⋊C4×C59C2211yescharacteristic
52C59×#398—21no—
53C59×#396—21no—
54C59×#391C2211yescharacteristic
55C59×#389C2211yescharacteristic
56C59×#386—21no—
57C59×#380—21no—
58C59×#380C2211yescharacteristic
59C23×Dic59—21no—
60C23×Dic59—21no—
61C22×C59⋊C8—22no—
62C22×C59⋊C8—41no—
63C22×C59⋊C8—41no—
64C22×C59⋊C8C2311yescharacteristic
65C22×C59⋊C8C2311yescharacteristic
66C22×C59⋊C8C2311yescharacteristic
67C22×C59⋊C8C2311yescharacteristic
68D4×Dic59—44no—
69C2×C4⋊Dic59—22no—
70C2×C4⋊Dic59—22no—
71C2×C4⋊Dic59—21no—
72C2×C4⋊Dic59—21no—
73C2×C4⋊Dic59—21no—
74C2×C4⋊Dic59—21no—
75C2×C4⋊Dic59—41no—
76C2×C4⋊Dic59—41no—
77C2×C4⋊Dic59C2311yescharacteristic
78C2×C4⋊Dic59C2311yescharacteristic
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C22⋊Dic59—21no—
82C2×C22⋊Dic59—21no—
83C2×C4×Dic59—21no—
84#14273658—22no—
85#14273658—41no—
86#14273651—22no—
87#14273651—41no—
88#14273651—41no—
89#14273651—41no—
90C22⋊(C59⋊C8)—22no—
91C22⋊(C59⋊C8)—41no—
92C22⋊(C59⋊C8)—41no—
93C59⋊#95—21no—
94C59⋊#95—21no—
95C59⋊#95—21no—
96C22×Q8×C59C2311yescharacteristic
97C22×D4×C59D411yescharacteristic
98C23×C4×C59—21no—
99C23×C4×C59C2311yescharacteristic
100C23×C4×C59C2311yescharacteristic
101C22⋊Q8×C59—22no—
102C22⋊Q8×C59—22no—
103C22⋊Q8×C59—22no—
104C22⋊Q8×C59—41no—
105C4×D4×C59—22no—
106C4×D4×C59—22no—
107C2×C4⋊C4×C59—22no—
108C2×C4⋊C4×C59—21no—
109C2×C4⋊C4×C59—21no—
110C2×C4⋊C4×C59—21no—
111C2×C4⋊C4×C59—21no—
112C2×C4⋊C4×C59—41no—
113C2×C4⋊C4×C59D411yescharacteristic
114C2×C4⋊C4×C59C2311yescharacteristic
115C2×C4⋊C4×C59C2311yescharacteristic
116C2×C4⋊C4×C59C2311yescharacteristic
117C2×C22⋊C4×C59—21no—
118C2×C22⋊C4×C59—21no—
119C2×C22⋊C4×C59—21no—
120C2×C22⋊C4×C59D411yescharacteristic
121C2×C22⋊C4×C59D411yescharacteristic
122C2×C42×C59C2311yescharacteristic
123#95×C59—21no—
124#95×C59—21no—
125#95×C59—21no—
126#95×C59—21no—
127C24×C59C2×D411yescharacteristic
128C24×C59C2×D411yescharacteristic
129C2×Q8×C59—21no—
130C2×Q8×C59—21no—
131C2×Q8×C59—21no—
132C2×Q8×C59—21no—
133C2×Q8×C59—21no—
134C2×Q8×C59—21no—
135C2×D4×C59—22no—
136C2×D4×C59—22no—
137C2×D4×C59SD1614yes—
138C22×C4×C59—21no—
139C22×C4×C59—21no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—21no—
145C22×C4×C59—21no—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
148C22×C4×C59—21no—
149C22×C4×C59—21no—
150C22×C4×C59—21no—
151C22×C4×C59—21no—
152C22×C4×C59—42no—
153C22×C4×C59—42no—
154C22×C4×C59—81no—
155C22×C4×C59C2×D411yescharacteristic
156C22×C4×C59C2×D411yescharacteristic
157C22×C4×C59C2×D411yescharacteristic
158C22×C4×C59C2×D411yescharacteristic
159C22×C4×C59#4112yes—
160C22×C4×C59#4112yes—
161C22×C4×C59C2411yescharacteristic
162C22×Dic59—21no—
163C22×Dic59—21no—
164C22×Dic59—21no—
165C22×Dic59—21no—
166C22×Dic59—42no—
167C22×Dic59—42no—
168C22×Dic59—42no—
169C22×Dic59—42no—
170C22×Dic59—81no—
171C22×Dic59—81no—
172C4⋊C4×C59—22no—
173C4⋊C4×C59—21no—
174C4⋊C4×C59—21no—
175C4⋊C4×C59—21no—
176C4⋊C4×C59—21no—
177C4⋊C4×C59—21no—
178C4⋊C4×C59—42no—
179C4⋊C4×C59—42no—
180C4⋊C4×C59—42no—
181C4⋊C4×C59—81no—
182C4⋊C4×C59#4112yes—
183C22⋊C4×C59—22no—
184C22⋊C4×C59—22no—
185C22⋊C4×C59—42no—
186C22⋊C4×C59—42no—
187C22⋊C4×C59—81no—
188C42×C59—21no—
189C42×C59—21no—
190C22⋊Dic59—42no—
191C22⋊Dic59—42no—
192C4⋊Dic59—21no—
193C4⋊Dic59—21no—
194C4⋊Dic59—21no—
195C4⋊Dic59—21no—
196C4⋊Dic59—21no—
197C4⋊Dic59—21no—
198C4⋊Dic59—21no—
199C4⋊Dic59—42no—
200C4⋊Dic59—42no—
201C4⋊Dic59—42no—
202C4⋊Dic59—81no—
203C4⋊Dic59#4112yes—
204C4×Dic59—42no—
205C2×C59⋊C8—21no—
206C2×C59⋊C8—21no—
207C2×C59⋊C8—21no—
208C2×C59⋊C8—21no—
209C2×C59⋊C8—21no—
210C2×C59⋊C8—21no—
211C2×C59⋊C8—21no—
212C2×C59⋊C8—21no—
213C2×C59⋊C8—21no—
214C2×C59⋊C8—21no—
215C2×C59⋊C8—21no—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—44no—
218C23×C59—21no—
219C23×C59—21no—
220C23×C59—21no—
221C23×C59—21no—
222C23×C59—21no—
223C23×C59—21no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59#12312yes—
229C23×C59C2×SD1612yes—
230C23×C59C2×SD1612yes—
231C23×C59#13712yes—
232C23×C59C22×D411yescharacteristic
233Q8×C59—41no—
234Q8×C59—41no—
235Q8×C59—41no—
236Q8×C59—41no—
237D4×C59—28no—
238C2×C4×C59—21no—
239C2×C4×C59—21no—
240C2×C4×C59—21no—
241C2×C4×C59—21no—
242C2×C4×C59—22no—
243C2×C4×C59—22no—
244C2×C4×C59—22no—
245C2×C4×C59—22no—
246C2×C4×C59—21no—
247C2×C4×C59—21no—
248C2×C4×C59—21no—
249C2×C4×C59—22no—
250C2×C4×C59—21no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—41no—
254C2×C4×C59—41no—
255C2×C4×C59—41no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—41no—
264C2×C4×C59—41no—
265C2×C4×C59—41no—
266C2×C4×C59—41no—
267C2×C4×C59—41no—
268C2×C4×C59—84no—
269C2×C4×C59#12312yes—
270C2×C4×C59C2×SD1612yes—
271C2×C4×C59C2×#4111yescharacteristic
272C2×C4×C59C2×#4111yescharacteristic
273C2×C4×C59C2×#4111yescharacteristic
274C2×C4×C59C2×#4111yescharacteristic
275C2×C4×C59H(5,𝔽2)11yescharacteristic
276C2×C4×C59H(5,𝔽2)11yescharacteristic
277C2×Dic59—22no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—84no—
290C2×Dic59—84no—
291C59⋊C8—41no—
292C59⋊C8—41no—
293C59⋊C8—41no—
294C59⋊C8—41no—
295#26200—591nomaximal, Sylow
296C22×C59—22no—
297C22×C59—22no—
298C22×C59—22no—
299C22×C59—22no—
300C22×C59—22no—
301C22×C59—22no—
302C22×C59—22no—
303C22×C59—22no—
304C22×C59—22no—
305C22×C59—41no—
306C22×C59—41no—
307C22×C59—41no—
308C22×C59—41no—
309C22×C59#48314yes—
310C22×C59C2×#12311yescharacteristic
311C22×C59#54611yescharacteristic
312C22×C59#54611yescharacteristic
313C22×C59C22×SD1611yescharacteristic
314C22×C59C2×#13711yescharacteristic
315C22×C59#57611yescharacteristic
316C22×C59#57811yescharacteristic
317C4×C59—22no—
318C4×C59—22no—
319C4×C59—41no—
320C4×C59—41no—
321C4×C59—42no—
322C4×C59—81no—
323C4×C59—81no—
324C4×C59—81no—
325C4×C59#52911yescharacteristic
326C4×C59#53811yescharacteristic
327C4×C59#55311yescharacteristic
328C4×C59#55311yescharacteristic
329Dic59—42no—
330Dic59—81no—
331Dic59—81no—
332Dic59—81no—
333#2417D5911yescharacteristic
334D4×C4⋊C4—591no—
335#2099—591no—
336#2077—591no—
337#2072—591no—
338#2035—591no—
339#1927—591no—
340#1920—591no—
341#1892—591no—
342#1872—591no—
343#1872—591no—
344#1869—591no—
345#1853—591no—
346#1823—591no—
347C2×#340—591no—
348C2×C59—24no—
349C2×C59—42no—
350C2×C59#244411yescharacteristic
351C2×C59C2×#48311yescharacteristic
352C2×C59#309811yescharacteristic
353C2×C59#329511yescharacteristic
354C2×C59#329811yescharacteristic
355C2×C59#331211yescharacteristic
356C2×C59#331411yescharacteristic
357C23×C8—591no—
358C2×C22⋊Q8C2×D5911yescharacteristic
359C2×C22⋊Q8C2×D5911yescharacteristic
360C2×C4×D4—1181no—
361C2×C4×D4C2×D5911yescharacteristic
362C22×C4⋊C4—591no—
363C22×C4⋊C4—591no—
364C22×C4⋊C4C2×D5911yescharacteristic
365C2×#106—591no—
366C2×#106—591no—
367C2×#103—591no—
368C2×#103—591no—
369C2×#103—591no—
370C2×#103—591no—
371C2×C22⋊C8—591no—
372C2×C22⋊C8—591no—
373C2×C22⋊C8—591no—
374#398—21no—
375#396—21no—
376#391C2×D5911yescharacteristic
377#389—1181no—
378#389C2×D5911yescharacteristic
379#386—21no—
380#385—1181no—
381#385—1181no—
382#384—591no—
383#380—21no—
384#380—591no—
385#380—591no—
386#380C2×D5911yescharacteristic
387C4×C4⋊C4—591no—
388#340—591no—
389#340—591no—
390#340—591no—
391#340—591no—
392#340—591no—
393#340—591no—
394#340—591no—
395#340—591no—
396#340—591no—
397#340—591no—
398#336—591no—
399#336—591no—
400C59#2620011yescharacteristic, complemented, Sylow
401C22×Q8C22×D5911yescharacteristic
402C22×D4C22⋊D5911yescharacteristic
403C23×C4—21no—
404C23×C4—1181no—
405C23×C4—1181no—
406C23×C4C22×D5911yescharacteristic
407C23×C4C22×D5911yescharacteristic
408C22×C8—591no—
409C22×C8—591no—
410C22×C8—591no—
411C22×C8—591no—
412C22×C8—1182no—
413C22×C8—2361no—
414C22×C8—2361no—
415C22⋊Q8—22no—
416C22⋊Q8—22no—
417C22⋊Q8—22no—
418C22⋊Q8—41no—
419C4×D4—22no—
420C4×D4—22no—
421C4×D4—2364no—
422C2×C4⋊C4—22no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—41no—
428C2×C4⋊C4—591no—
429C2×C4⋊C4—591no—
430C2×C4⋊C4—591no—
431C2×C4⋊C4—591no—
432C2×C4⋊C4—1182no—
433C2×C4⋊C4—1182no—
434C2×C4⋊C4—1181no—
435C2×C4⋊C4—1181no—
436C2×C4⋊C4—1181no—
437C2×C4⋊C4—1181no—
438C2×C4⋊C4—2361no—
439C2×C4⋊C4—2361no—
440C2×C4⋊C4C22⋊D5911yescharacteristic
441C2×C4⋊C4C22×D5911yescharacteristic
442C2×C4⋊C4C22×D5911yescharacteristic
443C2×C4⋊C4C22×D5911yescharacteristic
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—1181no—
448C2×C22⋊C4—1181no—
449C2×C22⋊C4C22⋊D5911yescharacteristic
450C2×C22⋊C4C22⋊D5911yescharacteristic
451C2×C42—1181no—
452C2×C42C22×D5911yescharacteristic
453#106—1182no—
454#106—2361no—
455#103—1182no—
456#103—2361no—
457#103—2361no—
458#103—2361no—
459C22⋊C8—1182no—
460C22⋊C8—2361no—
461C22⋊C8—2361no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—1181no—
467#95—1181no—
468#95—1181no—
469C24C2×C22⋊D5911yescharacteristic
470C24C2×C22⋊D5911yescharacteristic
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4#1174567114yes—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—81no—
497C22×C4—1181no—
498C22×C4—1181no—
499C22×C4—1181no—
500C22×C4—1181no—
501C22×C4—4721no—
502C22×C4—4721no—
503C22×C4—2362no—
504C22×C4—2362no—
505C22×C4—2362no—
506C22×C4—2362no—
507C22×C4#1174568712yes—
508C22×C4#1174568712yes—
509C22×C4C2×C22⋊D5911yescharacteristic
510C22×C4C2×C22⋊D5911yescharacteristic
511C22×C4C2×C22⋊D5911yescharacteristic
512C22×C4C2×C22⋊D5911yescharacteristic
513C22×C4C23×D5911yescharacteristic
514C2×C8—1181no—
515C2×C8—1181no—
516C2×C8—1181no—
517C2×C8—1181no—
518C2×C8—1181no—
519C2×C8—1181no—
520C2×C8—1181no—
521C2×C8—1181no—
522C2×C8—1181no—
523C2×C8—1181no—
524C2×C8—1181no—
525C2×C8—1181no—
526C2×C8—2364no—
527C4⋊C4—22no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—81no—
537C4⋊C4—592no—
538C4⋊C4—1181no—
539C4⋊C4—1181no—
540C4⋊C4—1181no—
541C4⋊C4—1181no—
542C4⋊C4—1181no—
543C4⋊C4—1181no—
544C4⋊C4—1181no—
545C4⋊C4—4721no—
546C4⋊C4—2362no—
547C4⋊C4—2362no—
548C4⋊C4—2362no—
549C4⋊C4#1174568712yes—
550C22⋊C4—22no—
551C22⋊C4—22no—
552C22⋊C4—42no—
553C22⋊C4—42no—
554C22⋊C4—81no—
555C22⋊C4—2362no—
556C22⋊C4—2362no—
557C42—21no—
558C42—21no—
559C42—2362no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23#1427370812yes—
571C23C2×#1174567112yes—
572C23C2×#1174567112yes—
573C23#1427375712yes—
574C23C22×C22⋊D5911yescharacteristic
575Q8—41no—
576Q8—41no—
577Q8—41no—
578Q8—41no—
579D4—28no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—22no—
594C2×C4—21no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—84no—
611C2×C4—1182no—
612C2×C4—4724no—
613C2×C4—4724no—
614C2×C4—2361no—
615C2×C4—2361no—
616C2×C4—2361no—
617C2×C4—2361no—
618C2×C4—2361no—
619C2×C4—2361no—
620C2×C4—2361no—
621C2×C4—2361no—
622C2×C4—2361no—
623C2×C4—2361no—
624C2×C4—2361no—
625C2×C4#1427370812yes—
626C2×C4C2×#1174567112yes—
627C2×C4#41×D5911yescharacteristic
628C2×C4C2×#1174568711yescharacteristic
629C2×C4C2×#1174568711yescharacteristic
630C2×C4C2×#1174568711yescharacteristic
631C2×C4#1427377211yescharacteristic
632C2×C4#1427377311yescharacteristic
633C8—2361no—
634C8—2361no—
635C8—2361no—
636C8—2361no—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—41no—
647C22—41no—
648C22—41no—
649C22—41no—
650C22#1683773014yes—
651C22C2×#1427370811yescharacteristic
652C22#1683804011yescharacteristic
653C22#1683804611yescharacteristic
654C22C22×#1174567111yescharacteristic
655C22C2×#1427375711yescharacteristic
656C22#1683820511yescharacteristic
657C22#1683821711yescharacteristic
658C4—22no—
659C4—22no—
660C4—42no—
661C4—41no—
662C4—41no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4—4721no—
667C4—4721no—
668C4—4721no—
669C4—2362no—
670C4#1683793311yescharacteristic
671C4#1683798911yescharacteristic
672C4#1683809511yescharacteristic
673C4#1683810411yescharacteristic
674C2—24no—
675C2—42no—
676C2#2142784211yescharacteristic
677C2C2×#1683773011yescharacteristic
678C2#2143407011yescharacteristic
679C2#2143591411yescharacteristic
680C2#2143596111yescharacteristic
681C2#2143614111yescharacteristic
682C2#2143617711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2417C2
socleC23×C59C22×D4
prime radicalC22×D4×C59D4
hypercenter#2417D59
hypocenterC59#26200
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2417

Complements

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

NH ≅ G/Ntype
2. #21425654C2semidirect
3. #21425533C2semidirect
4. #21425504C2semidirect
5. #21425289C2semidirect
6. #21424727C2semidirect
7. #21424678C2semidirect
8. #21424520C2semidirect
9. #21424404C2semidirect
10. #21424404C2semidirect
12. #21424289C2semidirect
13. #21424180C2semidirect
14. C2×#16837164C2semidirect
400. C59#26200semidirect

Maximal subgroups

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

subgroupindex
D4×C4⋊Dic592
#214256542
#214255332
#214255042
#214252892
#214247272
#214246782
#214245202
#214244042
#214243892
#214242892
#214241802
C2×#168371642
C59×#24172
#2620059