Finite Group Databasebeta

← #28634278

Subgroups — #28634278

Order 15104.

884 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×#16837735C211yesmaximal, characteristic, complemented
2C2×#16837730C211yesmaximal, characteristic, complemented
3D4×C4⋊Dic59C211yesmaximal, characteristic
4#21425532C211yesmaximal, characteristic, complemented
5#21425522C211yesmaximal, characteristic, complemented
6#21425296C211yesmaximal, characteristic, complemented
7#21425289C211yesmaximal, characteristic, complemented
8#21424895C211yesmaximal, characteristic
9#21424862C211yesmaximal, characteristic, complemented
10#21424288C211yesmaximal, characteristic, complemented
11#21424283C211yesmaximal, characteristic, complemented
12#21424265C211yesmaximal, characteristic, complemented
13#21424101C211yesmaximal, characteristic, complemented
14#21423926C211yesmaximal, characteristic, complemented
15C59×#2536C211yesmaximal, characteristic
16C2×D4×Dic59—21no—
17C22×C4⋊Dic59C2211yescharacteristic
18C22×C4⋊Dic59C2211yescharacteristic
19#16837735—24no—
20#16837730—24no—
21C2×#14273660C2211yescharacteristic
22C2×#14273660C2211yescharacteristic
23C2×#14273660C2211yescharacteristic
24C2×#14273658C2211yescharacteristic
25C2×#14273658C2211yescharacteristic
26C2×#14273658C2211yescharacteristic
27C2×C4⋊(C59⋊C8)C2211yescharacteristic
28C2×#14273651C2211yescharacteristic
29C2×#14273651C2211yescharacteristic
30C2×#14273651C2211yescharacteristic
31C2×#14273651C2211yescharacteristic
32C2×C22⋊(C59⋊C8)C2211yescharacteristic
33C2×C22⋊(C59⋊C8)C2211yescharacteristic
34C2×C22⋊(C59⋊C8)C2211yescharacteristic
35C2×C22⋊(C59⋊C8)C2211yescharacteristic
36C2×#14273638C2211yescharacteristic
37#16837301—21no—
38#16837277—21no—
39#16837277—21no—
40#16837272C2211yescharacteristic
41#16837262C2211yescharacteristic
42#16837262C2211yescharacteristic
43C4×C4⋊Dic59C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50C2×C22⋊Q8×C59C2211yescharacteristic
51C2×C22⋊Q8×C59C2211yescharacteristic
52C2×C4×Q8×C59C2211yescharacteristic
53C2×C4×D4×C59C2211yescharacteristic
54C59×#398—21no—
55C59×#394—21no—
56C59×#388—21no—
57C59×#388—21no—
58C59×#382C2211yescharacteristic
59C59×#380C2211yescharacteristic
60C59×#380C2211yescharacteristic
61C23×Dic59—21no—
62C23×Dic59—21no—
63C22×C59⋊C8C2311yescharacteristic
64C22×C59⋊C8C2311yescharacteristic
65C22×C59⋊C8C2311yescharacteristic
66C22×C59⋊C8C2311yescharacteristic
67D4×Dic59—44no—
68C2×C4⋊Dic59—22no—
69C2×C4⋊Dic59—22no—
70C2×C4⋊Dic59—21no—
71C2×C4⋊Dic59—21no—
72C2×C4⋊Dic59—21no—
73C2×C4⋊Dic59—21no—
74C2×C4⋊Dic59—41no—
75C2×C4⋊Dic59—41no—
76C2×C4⋊Dic59C2311yescharacteristic
77C2×C4⋊Dic59C2311yescharacteristic
78C2×C4⋊Dic59C2311yescharacteristic
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C22⋊Dic59—21no—
81C2×C22⋊Dic59—21no—
82C2×C4×Dic59—21no—
83#14273660—22no—
84#14273660—22no—
85#14273660—41no—
86#14273658—22no—
87#14273658—22no—
88#14273658—41no—
89C4⋊(C59⋊C8)—22no—
90#14273651—22no—
91#14273651—22no—
92#14273651—22no—
93#14273651D414yescomplemented
94C22⋊(C59⋊C8)—22no—
95C22⋊(C59⋊C8)—22no—
96C22⋊(C59⋊C8)—22no—
97C22⋊(C59⋊C8)—22no—
98#14273638—22no—
99C59⋊#95—21no—
100C59⋊#95—21no—
101C59⋊#95—21no—
102C22×Q8×C59C2311yescharacteristic
103C22×D4×C59D411yescharacteristic
104C23×C4×C59C2311yescharacteristic
105C23×C4×C59C2311yescharacteristic
106C22⋊Q8×C59—22no—
107C22⋊Q8×C59—22no—
108C22⋊Q8×C59—41no—
109C22⋊Q8×C59—41no—
110C4×Q8×C59—22no—
111C4×Q8×C59—22no—
112C4×D4×C59—22no—
113C4×D4×C59—22no—
114C2×C4⋊C4×C59—21no—
115C2×C4⋊C4×C59—21no—
116C2×C4⋊C4×C59—21no—
117C2×C4⋊C4×C59D411yescharacteristic
118C2×C4⋊C4×C59C2311yescharacteristic
119C2×C4⋊C4×C59C2311yescharacteristic
120C2×C4⋊C4×C59C2311yescharacteristic
121C2×C22⋊C4×C59—21no—
122C2×C22⋊C4×C59—21no—
123C2×C22⋊C4×C59—21no—
124C2×C22⋊C4×C59—21no—
125C2×C22⋊C4×C59D411yescharacteristic
126C2×C22⋊C4×C59D411yescharacteristic
127C2×C42×C59—21no—
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×C59C2×D412yes—
141C2×D4×C59—22no—
142C2×D4×C59—22no—
143C2×D4×C59—22no—
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—21no—
159C22×C4×C59—21no—
160C22×C4×C59C2×D411yescharacteristic
161C22×C4×C59C2×D411yescharacteristic
162C22×C4×C59C2×D411yescharacteristic
163C22×C4×C59C2×D411yescharacteristic
164C22×C4×C59C2411yescharacteristic
165C22×Dic59—21no—
166C22×Dic59—21no—
167C22×Dic59—21no—
168C22×Dic59—21no—
169C22×Dic59—42no—
170C22×Dic59—42no—
171C22×Dic59—42no—
172C22×Dic59—42no—
173C22×Dic59—81no—
174C22×Dic59—81no—
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—21no—
182C4⋊C4×C59—42no—
183C4⋊C4×C59—42no—
184C4⋊C4×C59—42no—
185C22⋊C4×C59—22no—
186C22⋊C4×C59—22no—
187C22⋊C4×C59—42no—
188C22⋊C4×C59—42no—
189C22⋊C4×C59—42no—
190C22⋊C4×C59—42no—
191C42×C59—42no—
192C42×C59#4112yes—
193C42×C59#4112yes—
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—42no—
204C4⋊Dic59—42no—
205C4⋊Dic59—42no—
206C4⋊Dic59—81no—
207C4⋊Dic59C2×D412yes—
208C4×Dic59—42no—
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—21no—
218C2×C59⋊C8—21no—
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—21no—
232C23×C59—21no—
233C23×C59AGL(1,ℤ/8)12yes—
234C23×C59#13712yes—
235C23×C59C22×D411yescharacteristic
236Q8×C59—22no—
237Q8×C59—22no—
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—21no—
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—41no—
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—41no—
269C2×C4×C59—41no—
270C2×C4×C59—41no—
271C2×C4×C59#12312yes—
272C2×C4×C59#12312yes—
273C2×C4×C59C22×D411yescharacteristic
274C2×C4×C59C2×#4111yescharacteristic
275C2×C4×C59C2×#4111yescharacteristic
276C2×C4×C59C2×#4111yescharacteristic
277C2×C4×C59H(5,𝔽2)11yescharacteristic
278C2×C4×C592−1+411yescharacteristic
279C2×Dic59—22no—
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—84no—
292C2×Dic59—84no—
293C59⋊C8—22no—
294C59⋊C8—22no—
295C59⋊C8—41no—
296C59⋊C8—41no—
297#25024—591nomaximal, Sylow
298C22×C59—22no—
299C22×C59—22no—
300C22×C59—22no—
301C22×C59—22no—
302C22×C59—22no—
303C22×C59—22no—
304C22×C59—41no—
305C22×C59—41no—
306C22×C59—41no—
307C22×C59—41no—
308C22×C59—41no—
309C22×C59—41no—
310C22×C59—41no—
311C22×C59—41no—
312C22×C59C2×#12311yescharacteristic
313C22×C59D4211yescharacteristic
314C22×C59#54711yescharacteristic
315C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
316C22×C59C2×#13711yescharacteristic
317C22×C59#57711yescharacteristic
318C22×C59#57811yescharacteristic
319C4×C59—22no—
320C4×C59—22no—
321C4×C59—41no—
322C4×C59—41no—
323C4×C59—42no—
324C4×C59—81no—
325C4×C59—81no—
326C4×C59—81no—
327C4×C59#53211yescharacteristic
328C4×C59#54211yescharacteristic
329C4×C59#54711yescharacteristic
330C4×C59#55311yescharacteristic
331Dic59—42no—
332Dic59—81no—
333Dic59—81no—
334Dic59—81no—
335C2×#484—591no—
336C2×#483—591no—
337#2536D5911yescharacteristic
338D4×C4⋊C4—591no—
339#2077—591no—
340#2075—591no—
341#2036—591no—
342#2035—591no—
343#1955—591no—
344#1949—591no—
345#1853—591no—
346#1852—591no—
347#1847—591no—
348#1803—591no—
349#1763—591no—
350C2×C59—42no—
351C2×C59—42no—
352C2×C59#242211yescharacteristic
353C2×C59#309211yescharacteristic
354C2×C59#309711yescharacteristic
355C2×C59#326511yescharacteristic
356C2×C59#327011yescharacteristic
357C2×C59#334311yescharacteristic
358C2×C59#334411yescharacteristic
359C2×C22⋊Q8C2×D5911yescharacteristic
360C2×C22⋊Q8C2×D5911yescharacteristic
361C2×C4×Q8C2×D5911yescharacteristic
362C2×C4×D4—1181no—
363C2×C4×D4C2×D5911yescharacteristic
364C22×C4⋊C4—591no—
365C22×C4⋊C4—591no—
366#484—1184no—
367#483—1184no—
368C2×#107—591no—
369C2×#107—591no—
370C2×#107—591no—
371C2×#106—591no—
372C2×#106—591no—
373C2×#106—591no—
374C2×C4⋊C8—591no—
375C2×#103—591no—
376C2×#103—591no—
377C2×#103—591no—
378C2×#103—591no—
379C2×C22⋊C8—591no—
380C2×C22⋊C8—591no—
381C2×C22⋊C8—591no—
382C2×C22⋊C8—591no—
383C2×#97—591no—
384#398—21no—
385#394—21no—
386#389—1181no—
387#388—21no—
388#388—21no—
389#385—1181no—
390#385—1181no—
391#384—591no—
392#382C2×D5911yescharacteristic
393#380—591no—
394#380—591no—
395#380C2×D5911yescharacteristic
396#380C2×D5911yescharacteristic
397C4×C4⋊C4—591no—
398#340—591no—
399#340—591no—
400#340—591no—
401#340—591no—
402#340—591no—
403#340—591no—
404C59#2502411yescharacteristic, complemented, Sylow
405C22×Q8C22×D5911yescharacteristic
406C22×D4C22⋊D5911yescharacteristic
407C23×C4—1181no—
408C23×C4—1181no—
409C23×C4C22×D5911yescharacteristic
410C23×C4C22×D5911yescharacteristic
411C22×C8—591no—
412C22×C8—591no—
413C22×C8—591no—
414C22×C8—591no—
415C22⋊Q8—22no—
416C22⋊Q8—22no—
417C22⋊Q8—41no—
418C22⋊Q8—41no—
419C4×Q8—22no—
420C4×Q8—22no—
421C4×D4—22no—
422C4×D4—22no—
423C4×D4—2364no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—591no—
428C2×C4⋊C4—591no—
429C2×C4⋊C4—591no—
430C2×C4⋊C4—591no—
431C2×C4⋊C4—1182no—
432C2×C4⋊C4—1182no—
433C2×C4⋊C4—1181no—
434C2×C4⋊C4—1181no—
435C2×C4⋊C4—1181no—
436C2×C4⋊C4—1181no—
437C2×C4⋊C4—2361no—
438C2×C4⋊C4—2361no—
439C2×C4⋊C4C22⋊D5911yescharacteristic
440C2×C4⋊C4C22×D5911yescharacteristic
441C2×C4⋊C4C22×D5911yescharacteristic
442C2×C4⋊C4C22×D5911yescharacteristic
443C2×C22⋊C4—21no—
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—21no—
452C2×C42—1181no—
453C2×C42C22×D5911yescharacteristic
454#107—1182no—
455#107—1182no—
456#107—2361no—
457#106—1182no—
458#106—1182no—
459#106—2361no—
460C4⋊C8—1182no—
461#103—594no—
462#103—1182no—
463#103—1182no—
464#103—1182no—
465C22⋊C8—1182no—
466C22⋊C8—1182no—
467C22⋊C8—1182no—
468C22⋊C8—1182no—
469#97—1182no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
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×Q8D4×D5912yes—
485C2×D4—22no—
486C2×D4—22no—
487C2×D4—22no—
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—21no—
503C22×C4—21no—
504C22×C4—1181no—
505C22×C4—1181no—
506C22×C4—1181no—
507C22×C4—1181no—
508C22×C4—4721no—
509C22×C4—4721no—
510C22×C4—2362no—
511C22×C4—2362no—
512C22×C4—2362no—
513C22×C4—2362no—
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—1181no—
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—
531C4⋊C4—22no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—592no—
542C4⋊C4—1181no—
543C4⋊C4—1181no—
544C4⋊C4—1181no—
545C4⋊C4—1181no—
546C4⋊C4—1181no—
547C4⋊C4—1181no—
548C4⋊C4—1181no—
549C4⋊C4—4721no—
550C4⋊C4—2362no—
551C4⋊C4—2362no—
552C4⋊C4—2362no—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C22⋊C4—42no—
558C22⋊C4—42no—
559C22⋊C4—2362no—
560C22⋊C4—2362no—
561C42—42no—
562C42—2362no—
563C42#1174568712yes—
564C42#1174568712yes—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23#1427375212yes—
578C23#1427375712yes—
579C23C22×C22⋊D5911yescharacteristic
580Q8—22no—
581Q8—22no—
582Q8—41no—
583Q8—41no—
584D4—28no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
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—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—1182no—
616C2×C4—4724no—
617C2×C4—4724no—
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#1427370812yes—
630C2×C4#1427370812yes—
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—2361no—
640C8—2361no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—41no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22C2×#1427370811yescharacteristic
656C22D4×C22⋊D5911yescharacteristic
657C22#1683805111yescharacteristic
658C22C2×#1427375211yescharacteristic
659C22C2×#1427375711yescharacteristic
660C22#1683821011yescharacteristic
661C22#1683821711yescharacteristic
662C4—22no—
663C4—22no—
664C4—41no—
665C4—41no—
666C4—42no—
667C4—81no—
668C4—81no—
669C4—81no—
670C4—4721no—
671C4—4721no—
672C4—4721no—
673C4—2362no—
674C4#1683794711yescharacteristic
675C4#1683801911yescharacteristic
676C4#1683805211yescharacteristic
677C4#1683809911yescharacteristic
678C2—42no—
679C2—42no—
680C2#2142760611yescharacteristic
681C2#2143401611yescharacteristic
682C2#2143405911yescharacteristic
683C2#2143559211yescharacteristic
684C2#2143566211yescharacteristic
685C2#2143653611yescharacteristic
686C2#2143655111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2536C2
socleC23×C59C22×D4
prime radicalC22×D4×C59D4
hypercenter#2536D59
hypocenterC59#25024
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2536

Complements

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

NH ≅ G/Ntype
1. C2×#16837735C2semidirect
2. C2×#16837730C2semidirect
4. #21425532C2semidirect
5. #21425522C2semidirect
6. #21425296C2semidirect
7. #21425289C2semidirect
9. #21424862C2semidirect
10. #21424288C2semidirect
11. #21424283C2semidirect
12. #21424265C2semidirect
13. #21424101C2semidirect
14. #21423926C2semidirect
93. #14273651D4semidirect
404. C59#25024semidirect

Maximal subgroups

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

subgroupindex
C2×#168377352
C2×#168377302
D4×C4⋊Dic592
#214255322
#214255222
#214252962
#214252892
#214248952
#214248622
#214242882
#214242832
#214242652
#214241012
#214239262
C59×#25362
#2502459