Finite Group Databasebeta

← #28637388

Subgroups — #28637388

Order 15104.

918 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837730C211yesmaximal, characteristic, complemented
2C2×D4×C59⋊C8C211yesmaximal, characteristic
3#21428404C211yesmaximal, characteristic
4#21425598C211yesmaximal, characteristic, complemented
5#21425533C211yesmaximal, characteristic, complemented
6#21425477C211yesmaximal, characteristic, complemented
7#21425289C211yesmaximal, characteristic, complemented
8#21424821C211yesmaximal, characteristic, complemented
9#21424775C211yesmaximal, characteristic, complemented
10#21424520C211yesmaximal, characteristic, complemented
11#21424520C211yesmaximal, characteristic, complemented
12#21424289C211yesmaximal, characteristic, complemented
13#21424119C211yesmaximal, characteristic, complemented
14C2×#16837164C211yesmaximal, characteristic, complemented
15C59×#2417C211yesmaximal, characteristic
16C23×C59⋊C8C2211yescharacteristic
17C23×C59⋊C8C2211yescharacteristic
18C2×#14273708—21no—
19C22×C4⋊Dic59C2211yescharacteristic
20#16837730—24no—
21D4×C59⋊C8—24no—
22C2×#14273658C2211yescharacteristic
23C2×#14273658C2211yescharacteristic
24C2×#14273658C2211yescharacteristic
25C2×#14273658C2211yescharacteristic
26C2×C4⋊(C59⋊C8)C2211yescharacteristic
27C2×#14273651C2211yescharacteristic
28C2×#14273651C2211yescharacteristic
29C2×#14273651C2211yescharacteristic
30C2×#14273651C2211yescharacteristic
31C2×C22⋊(C59⋊C8)C2211yescharacteristic
32C2×C22⋊(C59⋊C8)C2211yescharacteristic
33C2×C4×C59⋊C8C2211yescharacteristic
34#16837332—21no—
35#16837327—21no—
36#16837300C2211yescharacteristic
37#16837300C2211yescharacteristic
38#16837263—21no—
39#16837262C2211yescharacteristic
40#16837262C2211yescharacteristic
41#16837262C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50C2×C22⋊Q8×C59C2211yescharacteristic
51C2×C22⋊Q8×C59C2211yescharacteristic
52C2×C4×D4×C59C2211yescharacteristic
53C22×C4⋊C4×C59C2211yescharacteristic
54C59×#398—21no—
55C59×#396—21no—
56C59×#391C2211yescharacteristic
57C59×#389C2211yescharacteristic
58C59×#386—21no—
59C59×#380—21no—
60C59×#380C2211yescharacteristic
61C23×Dic59—21no—
62C22×C59⋊C8—22no—
63C22×C59⋊C8—22no—
64C22×C59⋊C8—22no—
65C22×C59⋊C8—22no—
66C22×C59⋊C8—41no—
67C22×C59⋊C8—41no—
68C22×C59⋊C8C2311yescharacteristic
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72#14273708—44no—
73C2×C4⋊Dic59—22no—
74C2×C4⋊Dic59—22no—
75C2×C4⋊Dic59—21no—
76C2×C4⋊Dic59C2311yescharacteristic
77C2×C4⋊Dic59C2311yescharacteristic
78C2×C4⋊Dic59C2311yescharacteristic
79C2×C4⋊Dic59C2311yescharacteristic
80C2×Dic59⋊C4—21no—
81C2×Dic59⋊C4—21no—
82C2×C22⋊Dic59—21no—
83C2×C22⋊Dic59—21no—
84C2×C22⋊Dic59—21no—
85#14273658—22no—
86#14273658—22no—
87#14273658—22no—
88#14273658—41no—
89C4⋊(C59⋊C8)—22no—
90#14273651—22no—
91#14273651—22no—
92#14273651—22no—
93#14273651—41no—
94C22⋊(C59⋊C8)—22no—
95C22⋊(C59⋊C8)D414yes—
96C4×C59⋊C8—22no—
97C59⋊#95—21no—
98C59⋊#95—21no—
99C59⋊#95—21no—
100C59⋊#95—21no—
101C59⋊#95—21no—
102C22×Q8×C59C2311yescharacteristic
103C22×D4×C59D411yescharacteristic
104C23×C4×C59—21no—
105C23×C4×C59C2311yescharacteristic
106C23×C4×C59C2311yescharacteristic
107C22⋊Q8×C59—22no—
108C22⋊Q8×C59—22no—
109C22⋊Q8×C59—22no—
110C22⋊Q8×C59—41no—
111C4×D4×C59—22no—
112C4×D4×C59—22no—
113C2×C4⋊C4×C59—22no—
114C2×C4⋊C4×C59—21no—
115C2×C4⋊C4×C59—21no—
116C2×C4⋊C4×C59—21no—
117C2×C4⋊C4×C59—21no—
118C2×C4⋊C4×C59—41no—
119C2×C4⋊C4×C59D411yescharacteristic
120C2×C4⋊C4×C59C2311yescharacteristic
121C2×C4⋊C4×C59C2311yescharacteristic
122C2×C4⋊C4×C59C2311yescharacteristic
123C2×C22⋊C4×C59—21no—
124C2×C22⋊C4×C59—21no—
125C2×C22⋊C4×C59—21no—
126C2×C22⋊C4×C59D411yescharacteristic
127C2×C22⋊C4×C59D411yescharacteristic
128C2×C42×C59C2311yescharacteristic
129#95×C59—21no—
130#95×C59—21no—
131#95×C59—21no—
132#95×C59—21no—
133C24×C59C2×D411yescharacteristic
134C24×C59C2×D411yescharacteristic
135C2×Q8×C59—21no—
136C2×Q8×C59—21no—
137C2×Q8×C59—21no—
138C2×Q8×C59—21no—
139C2×Q8×C59—21no—
140C2×Q8×C59—21no—
141C2×D4×C59—22no—
142C2×D4×C59—22no—
143C2×D4×C59SD1614yes—
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—21no—
153C22×C4×C59—21no—
154C22×C4×C59—21no—
155C22×C4×C59—21no—
156C22×C4×C59—21no—
157C22×C4×C59—21no—
158C22×C4×C59—42no—
159C22×C4×C59—42no—
160C22×C4×C59—81no—
161C22×C4×C59C2×D411yescharacteristic
162C22×C4×C59C2×D411yescharacteristic
163C22×C4×C59C2×D411yescharacteristic
164C22×C4×C59C2×D412yes—
165C22×C4×C59C2×D411yescharacteristic
166C22×C4×C59#4112yes—
167C22×C4×C59C2411yescharacteristic
168C22×Dic59—21no—
169C22×Dic59—21no—
170C22×Dic59—21no—
171C22×Dic59—21no—
172C22×Dic59—42no—
173C22×Dic59—42no—
174C22×Dic59—42no—
175C4⋊C4×C59—22no—
176C4⋊C4×C59—21no—
177C4⋊C4×C59—21no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—42no—
182C4⋊C4×C59—42no—
183C4⋊C4×C59—42no—
184C4⋊C4×C59—81no—
185C4⋊C4×C59#4112yes—
186C22⋊C4×C59—22no—
187C22⋊C4×C59—22no—
188C22⋊C4×C59—42no—
189C22⋊C4×C59—42no—
190C22⋊C4×C59—81no—
191C42×C59—21no—
192C42×C59—21no—
193C22⋊Dic59—42no—
194C22⋊Dic59—42no—
195C22⋊Dic59—42no—
196C4⋊Dic59—21no—
197C4⋊Dic59—21no—
198C4⋊Dic59—21no—
199C4⋊Dic59—21no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—42no—
205Dic59⋊C4—42no—
206Dic59⋊C4—42no—
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—44no—
217C2×C59⋊C8—44no—
218C2×C59⋊C8C2×D412yes—
219C2×C59⋊C8C2×D412yes—
220C2×C59⋊C8#4112yes—
221C23×C59—21no—
222C23×C59—21no—
223C23×C59—21no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—21no—
231C23×C59#12112yes—
232C23×C59C2×SD1612yes—
233C23×C59C2×SD1612yes—
234C23×C59#13512yes—
235C23×C59C22×D411yescharacteristic
236Q8×C59—41no—
237Q8×C59—41no—
238Q8×C59—41no—
239Q8×C59—41no—
240D4×C59—28no—
241C2×C4×C59—21no—
242C2×C4×C59—21no—
243C2×C4×C59—21no—
244C2×C4×C59—21no—
245C2×C4×C59—22no—
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—22no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—22no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
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—41no—
269C2×C4×C59—41no—
270C2×C4×C59—41no—
271C2×C4×C59—84no—
272C2×C4×C59#12112yes—
273C2×C4×C59C2×SD1612yes—
274C2×C4×C59C22×D411yescharacteristic
275C2×C4×C59C2×#4111yescharacteristic
276C2×C4×C59C2×#4111yescharacteristic
277C2×C4×C59C2×#4111yescharacteristic
278C2×C4×C59H(5,𝔽2)11yescharacteristic
279C2×C4×C592−1+411yescharacteristic
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—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—84no—
293C59⋊C8—22no—
294C59⋊C8—22no—
295C59⋊C8—22no—
296C59⋊C8—41no—
297#25236—591nomaximal, Sylow
298C22×C59—22no—
299C22×C59—22no—
300C22×C59—22no—
301C22×C59—22no—
302C22×C59—22no—
303C22×C59—22no—
304C22×C59—22no—
305C22×C59—22no—
306C22×C59—22no—
307C22×C59—41no—
308C22×C59—41no—
309C22×C59—41no—
310C22×C59—41no—
311C22×C59#46514yes—
312C22×C59C2×#12111yescharacteristic
313C22×C59#54611yescharacteristic
314C22×C59#54711yescharacteristic
315C22×C59C22×SD1611yescharacteristic
316C22×C59C2×#13511yescharacteristic
317C22×C59#57711yescharacteristic
318C22×C59#57811yescharacteristic
319C4×C59—22no—
320C4×C59—22no—
321C4×C59—41no—
322C4×C59—42no—
323C4×C59—41no—
324C4×C59—81no—
325C4×C59—81no—
326C4×C59—81no—
327C4×C59#52911yescharacteristic
328C4×C59#53911yescharacteristic
329C4×C59#54611yescharacteristic
330C4×C59#54711yescharacteristic
331Dic59—81no—
332Dic59—81no—
333Dic59—81no—
334Dic59—81no—
335C2×#483—591no—
336C2×C8×D4—591no—
337#2486—591no—
338#2417D5911yescharacteristic
339#2088—591no—
340#2077—591no—
341#2066—591no—
342#2035—591no—
343#1941—591no—
344#1933—591no—
345#1892—591no—
346#1892—591no—
347#1853—591no—
348#1807—591no—
349C2×#340—591no—
350C2×C59—24no—
351C2×C59—42no—
352C2×C59#242511yescharacteristic
353C2×C59C2×#46511yescharacteristic
354C2×C59#306311yescharacteristic
355C2×C59#329611yescharacteristic
356C2×C59#329811yescharacteristic
357C2×C59#333511yescharacteristic
358C2×C59#333611yescharacteristic
359C23×C8—591no—
360C23×C8—591no—
361C2×#123—1181no—
362C2×C22⋊Q8C2×D5911yescharacteristic
363C2×C22⋊Q8C2×D5911yescharacteristic
364C2×C4×D4C2×D5911yescharacteristic
365C22×C4⋊C4—591no—
366C22×C4⋊C4C2×D5911yescharacteristic
367#483—1184no—
368C8×D4—1184no—
369C2×#106—591no—
370C2×#106—591no—
371C2×#106—591no—
372C2×#106—591no—
373C2×C4⋊C8—591no—
374C2×#103—591no—
375C2×#103—591no—
376C2×#103—591no—
377C2×#103—591no—
378C2×C22⋊C8—591no—
379C2×C22⋊C8—591no—
380C2×C4×C8—591no—
381#398—21no—
382#398—1181no—
383#397—1181no—
384#396—21no—
385#391C2×D5911yescharacteristic
386#389—591no—
387#389—591no—
388#389C2×D5911yescharacteristic
389#386—21no—
390#381—1181no—
391#380—21no—
392#380—591no—
393#380—591no—
394#380—591no—
395#380C2×D5911yescharacteristic
396#340—591no—
397#340—591no—
398#340—591no—
399#340—591no—
400#340—591no—
401#340—591no—
402#340—591no—
403#340—591no—
404C59#2523611yescharacteristic, complemented, Sylow
405C22×Q8C22×D5911yescharacteristic
406C22×D4C22⋊D5911yescharacteristic
407C23×C4—21no—
408C23×C4—1181no—
409C23×C4C22×D5911yescharacteristic
410C23×C4C22×D5911yescharacteristic
411C22×C8—591no—
412C22×C8—591no—
413C22×C8—591no—
414C22×C8—591no—
415C22×C8—1182no—
416C22×C8—1182no—
417C22×C8—1182no—
418C22×C8—1182no—
419C22×C8—2361no—
420C22×C8—2361no—
421#123—2364no—
422C22⋊Q8—22no—
423C22⋊Q8—22no—
424C22⋊Q8—22no—
425C22⋊Q8—41no—
426C4×D4—22no—
427C4×D4—22no—
428C2×C4⋊C4—22no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—41no—
434C2×C4⋊C4—591no—
435C2×C4⋊C4—591no—
436C2×C4⋊C4—591no—
437C2×C4⋊C4—591no—
438C2×C4⋊C4—1182no—
439C2×C4⋊C4—1182no—
440C2×C4⋊C4—1181no—
441C2×C4⋊C4—1181no—
442C2×C4⋊C4—1181no—
443C2×C4⋊C4C22⋊D5911yescharacteristic
444C2×C4⋊C4C22×D5911yescharacteristic
445C2×C4⋊C4C22×D5911yescharacteristic
446C2×C4⋊C4C22×D5911yescharacteristic
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—1181no—
451C2×C22⋊C4—1181no—
452C2×C22⋊C4—1181no—
453C2×C22⋊C4C22⋊D5911yescharacteristic
454C2×C22⋊C4C22⋊D5911yescharacteristic
455C2×C42C22×D5911yescharacteristic
456#106—1182no—
457#106—1182no—
458#106—1182no—
459#106—2361no—
460C4⋊C8—1182no—
461#103—1182no—
462#103—1182no—
463#103—1182no—
464#103—2361no—
465C22⋊C8—594no—
466C22⋊C8—1182no—
467C4×C8—1182no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—1181no—
473#95—1181no—
474#95—1181no—
475#95—1181no—
476#95—1181no—
477C24C2×C22⋊D5911yescharacteristic
478C24C2×C22⋊D5911yescharacteristic
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×D4—22no—
486C2×D4—22no—
487C2×D4#1174567114yes—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—81no—
505C22×C4—1181no—
506C22×C4—1181no—
507C22×C4—1181no—
508C22×C4—1181no—
509C22×C4—2362no—
510C22×C4—2362no—
511C22×C4—2362no—
512C22×C4D4×D5912yes—
513C22×C4#1174568712yes—
514C22×C4C2×C22⋊D5911yescharacteristic
515C22×C4C2×C22⋊D5911yescharacteristic
516C22×C4C2×C22⋊D5911yescharacteristic
517C22×C4C2×C22⋊D5911yescharacteristic
518C22×C4C23×D5911yescharacteristic
519C2×C8—592no—
520C2×C8—592no—
521C2×C8—592no—
522C2×C8—1181no—
523C2×C8—1181no—
524C2×C8—1181no—
525C2×C8—1181no—
526C2×C8—1181no—
527C2×C8—1181no—
528C2×C8—1181no—
529C2×C8—1181no—
530C2×C8—1181no—
531C2×C8—2364no—
532C2×C8—2364no—
533C4⋊C4—22no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—81no—
543C4⋊C4—1181no—
544C4⋊C4—1181no—
545C4⋊C4—1181no—
546C4⋊C4—1181no—
547C4⋊C4—1181no—
548C4⋊C4—1181no—
549C4⋊C4—1181no—
550C4⋊C4—1181no—
551C4⋊C4—2362no—
552C4⋊C4—2362no—
553C4⋊C4—2362no—
554C4⋊C4#1174568712yes—
555C22⋊C4—22no—
556C22⋊C4—22no—
557C22⋊C4—42no—
558C22⋊C4—42no—
559C22⋊C4—81no—
560C22⋊C4—2362no—
561C22⋊C4—2362no—
562C22⋊C4—2362no—
563C42—21no—
564C42—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23#1427369912yes—
576C23C2×#1174567112yes—
577C23C2×#1174567112yes—
578C23#1427374712yes—
579C23C22×C22⋊D5911yescharacteristic
580Q8—41no—
581Q8—41no—
582Q8—41no—
583Q8—41no—
584D4—28no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—22no—
598C2×C4—21no—
599C2×C4—21no—
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—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—84no—
616C2×C4—4724no—
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—2361no—
626C2×C4—2361no—
627C2×C4—2361no—
628C2×C4—2361no—
629C2×C4#1427369912yes—
630C2×C4C2×#1174567112yes—
631C2×C4C2×D4×D5911yescharacteristic
632C2×C4#41×D5911yescharacteristic
633C2×C4C2×#1174568711yescharacteristic
634C2×C4C2×#1174568711yescharacteristic
635C2×C4#1427377211yescharacteristic
636C2×C4#1427377411yescharacteristic
637C8—1182no—
638C8—1182no—
639C8—1182no—
640C8—2361no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22#1683763314yes—
655C22C2×#1427369911yescharacteristic
656C22#1683804611yescharacteristic
657C22#1683805111yescharacteristic
658C22C22×#1174567111yescharacteristic
659C22C2×#1427374711yescharacteristic
660C22#1683821311yescharacteristic
661C22#1683821711yescharacteristic
662C4—22no—
663C4—22no—
664C4—42no—
665C4—41no—
666C4—41no—
667C4—81no—
668C4—81no—
669C4—81no—
670C4—4721no—
671C4—4721no—
672C4—4721no—
673C4—4721no—
674C4#1683793311yescharacteristic
675C4#1683799711yescharacteristic
676C4#1683804111yescharacteristic
677C4#1683805211yescharacteristic
678C2—24no—
679C2—42no—
680C2#2142765311yescharacteristic
681C2C2×#1683763311yescharacteristic
682C2#2143378911yescharacteristic
683C2#2143593111yescharacteristic
684C2#2143596111yescharacteristic
685C2#2143644711yescharacteristic
686C2#2143645811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2417C2
socleC23×C59C22×D4
prime radicalC22×D4×C59D4
hypercenter#2417D59
hypocenterC59#25236
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
1. C2×#16837730C2semidirect
4. #21425598C2semidirect
5. #21425533C2semidirect
6. #21425477C2semidirect
7. #21425289C2semidirect
8. #21424821C2semidirect
9. #21424775C2semidirect
10. #21424520C2semidirect
11. #21424520C2semidirect
12. #21424289C2semidirect
13. #21424119C2semidirect
14. C2×#16837164C2semidirect
404. C59#25236semidirect

Maximal subgroups

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

subgroupindex
C2×#168377302
C2×D4×C59⋊C82
#214284042
#214255982
#214255332
#214254772
#214252892
#214248212
#214247752
#214245202
#214242892
#214241192
C2×#168371642
C59×#24172
#2523659