Finite Group Databasebeta

← C4×#16837606 #28594874

Subgroups — C4×#16837606 #28594874

Order 15104.

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×#16837606C211yesmaximal, characteristic
2C2×C4×#11745660C211yesmaximal, characteristic
3C2×C4×#11745671C211yesmaximal, characteristic
4C4×#14273725C211yesmaximal, characteristic, complemented
5C4×#14273689C211yesmaximal, characteristic
6#21425017C211yesmaximal, characteristic, complemented
7#21424858C211yesmaximal, characteristic, complemented
8#21424732C211yesmaximal, characteristic, complemented
9#21424728C211yesmaximal, characteristic, complemented
10#21424431C211yesmaximal, characteristic
11#21424427C211yesmaximal, characteristic
12#21424095C211yesmaximal, characteristic
13C4×Dic59⋊C8C211yesmaximal, characteristic, complemented
14C4×#14273650C211yesmaximal, characteristic, complemented
15C4×#103×C59C211yesmaximal, characteristic, complemented
16C22×#11745660C2211yescharacteristic
17C22×#11745671C2211yescharacteristic
18C2×#14273725C2211yescharacteristic
19C2×C4×Dic118C2211yescharacteristic
20C2×C4×D236C2211yescharacteristic
21C2×#14273689C2211yescharacteristic
22C2×#14273689C2211yescharacteristic
23C2×C42×D59—21no—
24#16837606C418yesdirect product factor
25C4×#11745660—24no—
26C4×#11745671—24no—
27C2×#14273659C2211yescharacteristic
28C2×#14273658C2211yescharacteristic
29C2×Dic59⋊C8C2211yescharacteristic
30C2×Dic59⋊C8C2211yescharacteristic
31C2×#14273652C2211yescharacteristic
32C2×#14273651C2211yescharacteristic
33C2×#14273650C2211yescharacteristic
34C2×#14273650C2211yescharacteristic
35C2×#14273649C2211yescharacteristic
36C2×#14273647C2211yescharacteristic
37C2×C4×C59⋊C8C2211yescharacteristic
38#16837309C2211yescharacteristic
39#16837307C2211yescharacteristic
40#16837297—21no—
41#16837297—21no—
42#16837271C2211yescharacteristic
43C4⋊C4×Dic59C2211yescharacteristic
44C4⋊C4×Dic59C2211yescharacteristic
45C4×Dic59⋊C4—21no—
46C4×Dic59⋊C4—21no—
47C4×(C2×D59)⋊C4—21no—
48#16837249—21no—
49#16837249—21no—
50C42×Dic59C2211yescharacteristic
51#16837164C2211yescharacteristic
52#16837164C2211yescharacteristic
53#16837156C2211yescharacteristic
54#16837156C2211yescharacteristic
55C2×C4×Q8×C59C2211yescharacteristic
56C2×#103×C59C2211yescharacteristic
57C2×#103×C59C2211yescharacteristic
58C2×C4×C8×C59C2211yescharacteristic
59C4×C4⋊C4×C59C2211yescharacteristic
60C59×#340C2211yescharacteristic
61C59×#340C2211yescharacteristic
62C22×Dic118C2311yescharacteristic
63C22×D236C2311yescharacteristic
64C22×C4×D59—21no—
65C22×C4×D59—21no—
66C22×C4×D59—21no—
67C2×#11745660—22no—
68C2×#11745660—22no—
69C2×#11745660C2×C414yes—
70C2×#11745671—22no—
71C2×#11745671—22no—
72C2×#11745671C2×C414yes—
73C22×C59⋊C8C2311yescharacteristic
74C22×C59⋊C8C2311yescharacteristic
75#14273725—22no—
76#14273725C2×C414yescomplemented
77C4×Dic118—22no—
78C4×Dic118—22no—
79C4×D236—22no—
80C4×D236D414yes—
81#14273689—22no—
82#14273689—22no—
83#14273689—22no—
84#14273689C2×C414yes—
85C2×C4⋊Dic59C2311yescharacteristic
86C2×C4⋊Dic59C2311yescharacteristic
87C2×Dic59⋊C4—21no—
88C2×Dic59⋊C4—21no—
89C2×Dic59⋊C4—21no—
90C2×Dic59⋊C4—21no—
91C2×Dic59⋊C4—21no—
92C2×(C2×D59)⋊C4—21no—
93C2×(C2×D59)⋊C4—21no—
94C2×(C2×D59)⋊C4—21no—
95C2×C4×Dic59—21no—
96C2×C4×Dic59—21no—
97C2×C4×Dic59—21no—
98C2×C4×Dic59D411yescharacteristic
99C2×C4×Dic59D411yescharacteristic
100C2×C4×Dic59D411yescharacteristic
101C2×C4×Dic59D411yescharacteristic
102C2×C4×Dic59C2311yescharacteristic
103C2×C4×Dic59C2311yescharacteristic
104C42×D59—44no—
105#14273659—22no—
106#14273658—22no—
107Dic59⋊C8—22no—
108Dic59⋊C8C2×C414yescomplemented
109#14273652—22no—
110#14273651—22no—
111#14273650—22no—
112#14273650C2×C414yescomplemented
113#14273649—22no—
114#14273647—22no—
115C4×C59⋊C8—22no—
116C59⋊#95—21no—
117C59⋊#95—21no—
118C59⋊#95—21no—
119C59⋊#95—21no—
120C59⋊#95—21no—
121C59⋊#95—21no—
122C22×Q8×C59C2311yescharacteristic
123C22×C8×C59C2311yescharacteristic
124C22×C8×C59C2311yescharacteristic
125C4×Q8×C59—22no—
126C4×Q8×C59—22no—
127C2×C4⋊C4×C59—21no—
128C2×C4⋊C4×C59C2311yescharacteristic
129C2×C4⋊C4×C59C2311yescharacteristic
130C2×C4⋊C4×C59C2311yescharacteristic
131C2×C42×C59—21no—
132C2×C42×C59—21no—
133C2×C42×C59C2311yescharacteristic
134#103×C59—22no—
135#103×C59C2×C414yescomplemented
136C4×C8×C59—22no—
137#95×C59—21no—
138C23×D59—21no—
139C2×Q8×C59—21no—
140C2×Q8×C59—21no—
141C2×Q8×C59—21no—
142C2×Q8×C59—21no—
143C2×Q8×C59—21no—
144C2×Q8×C59C22×C412yes—
145C22×C4×C59—21no—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
148C22×C4×C59—21no—
149C22×C4×C59C2×D411yescharacteristic
150C22×C4×C59C2×D411yescharacteristic
151C22×C4×C59C2411yescharacteristic
152C22×Dic59—21no—
153C22×Dic59—21no—
154C22×Dic59—21no—
155C22×Dic59C2×D411yescharacteristic
156C22×Dic59C2×D411yescharacteristic
157C22×Dic59C2×D411yescharacteristic
158C22×Dic59C2×D411yescharacteristic
159C2×D236—21no—
160C2×D236—21no—
161C2×D236—21no—
162C2×D236C22×C412yes—
163C2×D236C2×D412yes—
164C2×D236#4112yes—
165C2×C4×D59—24no—
166C2×C4×D59—24no—
167C2×C4×D59—24no—
168C2×C4×D59—42no—
169C2×C4×D59—42no—
170C2×C4×D59—42no—
171C2×C4×D59—42no—
172C2×C4×D59—42no—
173C2×C4×D59—42no—
174C2×Dic118—21no—
175C2×Dic118—21no—
176C2×Dic118—21no—
177C2×Dic118—21no—
178C2×Dic118—21no—
179C2×Dic118C22×C412yes—
180C2×C8×C59—21no—
181C2×C8×C59—21no—
182C2×C8×C59—21no—
183C2×C8×C59—21no—
184C2×C8×C59—21no—
185C2×C8×C59C22×C412yes—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—21no—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—21no—
190C4⋊C4×C59—42no—
191C4⋊C4×C59C22×C412yes—
192C4⋊C4×C59#4112yes—
193C42×C59—42no—
194C42×C59—42no—
195C42×C59C2×D412yes—
196C42×C59#4112yes—
197#11745671—28no—
198(C2×D59)⋊C4—24no—
199(C2×D59)⋊C4—24no—
200(C2×D59)⋊C4—24no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59C2×D412yes—
205Dic59⋊C4—24no—
206Dic59⋊C4—24no—
207Dic59⋊C4—42no—
208Dic59⋊C4—42no—
209Dic59⋊C4—42no—
210C4×Dic59—22no—
211C4×Dic59—21no—
212C4×Dic59—21no—
213C4×Dic59—22no—
214C4×Dic59—41no—
215C4×Dic59—42no—
216C4×Dic59—42no—
217C4×Dic59—42no—
218C4×Dic59SD1614yescomplemented
219C4×Dic59C22×C412yes—
220C4×Dic59#4112yes—
221C2×C59⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8—21no—
226C2×C59⋊C8C22×C412yes—
227#11745660—28no—
228C23×C59C22×D411yescharacteristic
229C22×D59—22no—
230C22×D59—22no—
231C22×D59—22no—
232C22×D59—41no—
233C22×D59—41no—
234C22×D59—41no—
235C22×D59—41no—
236Q8×C59—22no—
237Q8×C59—22no—
238Q8×C59—41no—
239Q8×C59—41no—
240C2×C4×C59—21no—
241C2×C4×C59—21no—
242C2×C4×C59—22no—
243C2×C4×C59—22no—
244C2×C4×C59—22no—
245C2×C4×C59—41no—
246C2×C4×C59—41no—
247C2×C4×C59—41no—
248C2×C4×C59—41no—
249C2×C4×C59—41no—
250C2×C4×C59—41no—
251C2×C4×C59—41no—
252C2×C4×C59—41no—
253C2×C4×C59—41no—
254C2×C4×C59#12112yes—
255C2×C4×C59#12112yes—
256C2×C4×C59C2×SD1612yes—
257C2×C4×C59#13712yes—
258C2×C4×C59C23×C411yescharacteristic
259C2×C4×C59C22×D411yescharacteristic
260C2×C4×C59C2×#4111yescharacteristic
261C2×C4×C59C2×#4111yescharacteristic
262C2×C4×C59C2×#4111yescharacteristic
263C2×C4×C59C2×#4111yescharacteristic
264C2×Dic59—21no—
265C2×Dic59—21no—
266C2×Dic59—21no—
267C2×Dic59—21no—
268C2×Dic59—22no—
269C2×Dic59—22no—
270C2×Dic59—21no—
271C2×Dic59—21no—
272C2×Dic59—21no—
273C2×Dic59—41no—
274C2×Dic59—41no—
275C2×Dic59—41no—
276C2×Dic59—41no—
277C2×Dic59—41no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59C4×D412yes—
281C2×Dic59C4×D412yes—
282C2×Dic59C2×SD1612yes—
283C2×Dic59C2×SD1612yes—
284C2×Dic59#13512yes—
285D236—22no—
286D236—22no—
287D236—22no—
288D236C4×D414yes—
289C4×D59—48no—
290C4×D59—48no—
291C4×D59—48no—
292Dic118—22no—
293Dic118—22no—
294Dic118—41no—
295Dic118—41no—
296C8×C59—22no—
297C8×C59—41no—
298C59⋊C8—22no—
299C59⋊C8—41no—
300C4×#461—591nomaximal, Sylow
301C22×C59C2×C4×D411yescharacteristic
302C22×C59C2×#12111yescharacteristic
303C22×C59#52511yescharacteristic
304C22×C59C22×SD1611yescharacteristic
305C22×C59C2×#13511yescharacteristic
306C22×C59C2×#13711yescharacteristic
307C22×C59#57511yescharacteristic
308C2×D59—24no—
309C2×D59—42no—
310C2×D59—42no—
311C2×D59—42no—
312C2×D59—42no—
313C2×D59—42no—
314C2×D59—42no—
315C4×C59—22no—
316C4×C59—42no—
317C4×C59—42no—
318C4×C59—42no—
319C4×C59—81no—
320C4×C59#46114yescomplemented
321C4×C59C2×C4×D411yescharacteristic
322C4×C59C4×#4111yescharacteristic
323C4×C59#52911yescharacteristic
324C4×C59#53211yescharacteristic
325Dic59—22no—
326Dic59—22no—
327Dic59—41no—
328Dic59—42no—
329Dic59—42no—
330Dic59—81no—
331Dic59C4×SD1614yescomplemented
332C2×#461—591no—
333C2×C4×SD16—591no—
334C2×C4×SD16—591no—
335C4×C4⋊Q8—591no—
336C42×D4—591no—
337#1981—591no—
338#1948—591no—
339#1927—591no—
340#1927—591no—
341#1877—591no—
342#1877—591no—
343#1802—591no—
344C4×C4⋊C8—591no—
345C4×#103—591no—
346C4×#103D5911yescharacteristic, complemented
347C2×C59C4×#12111yescharacteristic
348C2×C59C2×C4×SD1611yescharacteristic
349C2×C59C4×#13711yescharacteristic
350C2×C59C2×#46111yescharacteristic
351C2×C59#303511yescharacteristic
352C2×C59#310111yescharacteristic
353C2×C59#310711yescharacteristic
354D59—44no—
355C22×SD16—591no—
356C22×SD16—591no—
357C2×C4⋊Q8—591no—
358C2×C4×Q8—591no—
359C2×C4×Q8C2×D5911yescharacteristic
360C2×C4×D4—591no—
361C2×C4×D4—591no—
362C2×C4×D4—591no—
363C22×C42—1181no—
364#461—598no—
365C4×SD16—1184no—
366C4×SD16—1184no—
367C2×#106—591no—
368C2×#106—591no—
369C2×C4⋊C8—591no—
370C2×C4⋊C8—591no—
371C2×#103—591no—
372C2×#103—591no—
373C2×#103—591no—
374C2×#103—591no—
375C2×#103C2×D5911yescharacteristic
376C2×#103C2×D5911yescharacteristic
377C2×#102—591no—
378C2×#102—591no—
379C2×C4×C8—591no—
380C2×C4×C8C2×D5911yescharacteristic
381#391—591no—
382#391—591no—
383#389—1181no—
384#389—1181no—
385#384—591no—
386C4×C4⋊C4—591no—
387C4×C4⋊C4—591no—
388C4×C4⋊C4—1181no—
389C4×C4⋊C4—1181no—
390C4×C4⋊C4C2×D5911yescharacteristic
391C4×C22⋊C4—1181no—
392C4×C22⋊C4—1181no—
393C4×C22⋊C4—1181no—
394C43—591no—
395#340—591no—
396#340—591no—
397#340C2×D5911yescharacteristic
398#340C2×D5911yescharacteristic
399#336—591no—
400#336—591no—
401C59C4×#46111yescharacteristic, complemented, Sylow
402C22×Q8—591no—
403C22×Q8C22×D5911yescharacteristic
404C22×D4—591no—
405C23×C4—1181no—
406C23×C4—1181no—
407C23×C4—1181no—
408C2×SD16—594no—
409C2×SD16—594no—
410C2×SD16—1182no—
411C2×SD16—1182no—
412C2×SD16—1182no—
413C2×SD16—1182no—
414C22×C8—591no—
415C22×C8—591no—
416C22×C8C22×D5911yescharacteristic
417C22×C8C22×D5911yescharacteristic
418C4⋊Q8—594no—
419C4⋊Q8—1182no—
420C4×Q8—22no—
421C4×Q8—22no—
422C4×Q8—1182no—
423C4×Q8—1182no—
424C4×D4—594no—
425C4×D4—594no—
426C4×D4—1182no—
427C4×D4—1182no—
428C4×D4—1182no—
429C4×D4—1182no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—591no—
432C2×C4⋊C4—591no—
433C2×C4⋊C4—1181no—
434C2×C4⋊C4—1181no—
435C2×C4⋊C4—1181no—
436C2×C4⋊C4—1181no—
437C2×C4⋊C4—1181no—
438C2×C4⋊C4C22×D5911yescharacteristic
439C2×C4⋊C4C22×D5911yescharacteristic
440C2×C4⋊C4C22×D5911yescharacteristic
441C2×C22⋊C4—1181no—
442C2×C22⋊C4—1181no—
443C2×C22⋊C4—1181no—
444C2×C42—21no—
445C2×C42—21no—
446C2×C42—591no—
447C2×C42—591no—
448C2×C42—591no—
449C2×C42—591no—
450C2×C42—591no—
451C2×C42—591no—
452C2×C42—1181no—
453C2×C42—1181no—
454C2×C42—1181no—
455C2×C42—2364no—
456C2×C42C22×D5911yescharacteristic
457#106—1182no—
458#106—1182no—
459C4⋊C8—594no—
460C4⋊C8—1182no—
461#103—22no—
462#103—594no—
463#103—1182no—
464#103—1182no—
465#103—1182no—
466#103C4×D5914yescomplemented
467#102—1182no—
468#102—1182no—
469C4×C8—22no—
470C4×C8—1182no—
471#95—21no—
472#95—1181no—
473#95—1181no—
474#95—1181no—
475#95—1181no—
476#95—1181no—
477#95—1181no—
478C24—1181no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—592no—
485C2×Q8—1181no—
486C2×Q8—1181no—
487C2×Q8—1181no—
488C2×Q8—1181no—
489C2×Q8—1181no—
490C2×Q8C2×C4×D5912yes—
491C2×D4—592no—
492C2×D4—592no—
493C2×D4—592no—
494C2×D4—1181no—
495C2×D4—1181no—
496C2×D4—1181no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—591no—
502C22×C4—591no—
503C22×C4—591no—
504C22×C4—591no—
505C22×C4—1184no—
506C22×C4—1184no—
507C22×C4—1181no—
508C22×C4—1181no—
509C22×C4—1184no—
510C22×C4—1181no—
511C22×C4—2362no—
512C22×C4—2362no—
513C22×C4—2362no—
514C22×C4—2362no—
515C22×C4—2362no—
516C22×C4—2362no—
517C22×C4D4×D5911yescharacteristic
518C22×C4D4×D5911yescharacteristic
519C22×C4C23×D5911yescharacteristic
520SD16—1188no—
521SD16—1188no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—592no—
528C2×C8—1181no—
529C2×C8—1181no—
530C2×C8—1181no—
531C2×C8—1181no—
532C2×C8—1181no—
533C2×C8C2×C4×D5912yes—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—42no—
539C4⋊C4—592no—
540C4⋊C4—1184no—
541C4⋊C4—1184no—
542C4⋊C4—1181no—
543C4⋊C4—1181no—
544C4⋊C4—1181no—
545C4⋊C4—2362no—
546C4⋊C4—2362no—
547C4⋊C4—2362no—
548C4⋊C4C2×C4×D5912yes—
549C4⋊C4#1174568512yes—
550C22⋊C4—1184no—
551C22⋊C4—1184no—
552C22⋊C4—1184no—
553C42—42no—
554C42—42no—
555C42—594no—
556C42—592no—
557C42—592no—
558C42—1182no—
559C42—1182no—
560C42—1181no—
561C42—1181no—
562C42—2361no—
563C42—2362no—
564C42—2362no—
565C42—2362no—
566C42#1174568512yes—
567C42D4×D5912yes—
568C23—1182no—
569C23—1182no—
570C23—1182no—
571C23—2361no—
572C23—2361no—
573C23—2361no—
574C23—2361no—
575C23C2×D4×D5911yescharacteristic
576Q8—22no—
577Q8—22no—
578Q8—41no—
579Q8—41no—
580Q8—1182no—
581Q8—1182no—
582Q8—2361no—
583Q8—2361no—
584D4—594no—
585D4—1182no—
586D4—1182no—
587D4—1182no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—592no—
603C2×C4—592no—
604C2×C4—592no—
605C2×C4—592no—
606C2×C4—592no—
607C2×C4—1181no—
608C2×C4—1181no—
609C2×C4—1181no—
610C2×C4—1181no—
611C2×C4—1182no—
612C2×C4—1181no—
613C2×C4—1181no—
614C2×C4—1181no—
615C2×C4—1182no—
616C2×C4—2368no—
617C2×C4—2368no—
618C2×C4—2361no—
619C2×C4—2361no—
620C2×C4—2361no—
621C2×C4—2361no—
622C2×C4—2361no—
623C2×C4—2361no—
624C2×C4—2361no—
625C2×C4—2368no—
626C2×C4#1427370012yes—
627C2×C4#1427370012yes—
628C2×C4SD16×D5912yes—
629C2×C4#1427375912yes—
630C2×C4C22×C4×D5911yescharacteristic
631C2×C4C2×D4×D5911yescharacteristic
632C2×C4#41×D5911yescharacteristic
633C2×C4#41×D5911yescharacteristic
634C2×C4C2×#1174568511yescharacteristic
635C2×C4C2×#1174568511yescharacteristic
636C8—22no—
637C8—41no—
638C8—1182no—
639C8—2361no—
640C22—1184no—
641C22—2362no—
642C22—2362no—
643C22—2362no—
644C22—2362no—
645C22—2362no—
646C22—2362no—
647C22C4×D4×D5911yescharacteristic
648C22C2×#1427370011yescharacteristic
649C22#1683791111yescharacteristic
650C22C2×SD16×D5911yescharacteristic
651C22#135×D5911yescharacteristic
652C22C2×#1427375911yescharacteristic
653C22#1683819911yescharacteristic
654C4—22no—
655C4—42no—
656C4—42no—
657C4—42no—
658C4—81no—
659C4—594no—
660C4—1182no—
661C4—1182no—
662C4—4721no—
663C4—2361no—
664C4—2362no—
665C4—2362no—
666C4#1683760614yesdirect product factor
667C4C4×D4×D5911yescharacteristic
668C4C4×#1174568511yescharacteristic
669C4#1683793011yescharacteristic
670C4#1683794911yescharacteristic
671C2—2364no—
672C2C4×#1427370011yescharacteristic
673C2C4×SD16×D5911yescharacteristic
674C2C4×#1427375911yescharacteristic
675C2C2×#1683760611yescharacteristic
676C2#2143354911yescharacteristic
677C2#2143410211yescharacteristic
678C2#2143416511yescharacteristic
subgroupG/H
centerC22×C4D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC4×#103×C59C2
socleC23×C59C22×D4
prime radicalC22×D236C23
cosocleC22×C4×C59C24
hypercenterC4×#103D59
hypocenterC59C4×#461
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#103

Complements

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

NH ≅ G/Ntype
4. C4×#14273725C2semidirect
6. #21425017C2semidirect
7. #21424858C2semidirect
8. #21424732C2semidirect
9. #21424728C2semidirect
13. C4×Dic59⋊C8C2semidirect
14. C4×#14273650C2semidirect
15. C4×#103×C59C2semidirect
24. #16837606C4direct (N × H)
76. #14273725C2×C4semidirect
108. Dic59⋊C8C2×C4semidirect
112. #14273650C2×C4semidirect
135. #103×C59C2×C4semidirect
218. C4×Dic59SD16semidirect
320. C4×C59#461semidirect
331. Dic59C4×SD16semidirect
346. C4×#103D59semidirect
401. C59C4×#461semidirect
466. #103C4×D59semidirect
666. C4#16837606direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168376062
C2×C4×#117456602
C2×C4×#117456712
C4×#142737252
C4×#142736892
#214250172
#214248582
#214247322
#214247282
#214244312
#214244272
#214240952
C4×Dic59⋊C82
C4×#142736502
C4×#103×C592
C4×#46159