Finite Group Databasebeta

← #28747849

Subgroups — #28747849

Order 15104.

2210 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
1C2×#16838030C211yesmaximal, characteristic
2#21426843C212yesmaximal, complemented
3#21426842C212yesmaximal, complemented
4#21426836C212yesmaximal, complemented
5#21426835C212yesmaximal, complemented
6#21426827C214yesmaximal
7#21426720C211yesmaximal, characteristic
8#21426712C211yesmaximal, characteristic
9#21426667C212yesmaximal, complemented
10#21426663C212yesmaximal, complemented
11#21426655C212yesmaximal, complemented
12#21426651C212yesmaximal, complemented
13#21426628C214yesmaximal
14#117×Dic59C211yesmaximal, characteristic
15#117×Dic59C211yesmaximal, characteristic
16C2×C4⋊C4×Dic59C211yesmaximal, characteristic
17C59×#2317C211yesmaximal, characteristic
18#16838030C4116yescomplemented
19C2×#14273727C2212yes—
20C2×#14273726C2212yes—
21C2×#14273719C2212yes—
22C2×#14273718C2212yes—
23C2×#14273704C2214yes—
24C2×#14273692C2214yes—
25C2×#14273686C2211yescharacteristic
26C2×#14273686C2211yescharacteristic
27C22×C4⋊Dic59C2211yescharacteristic
28C22×C4×Dic59C2212yes—
29C22×C4×Dic59C2211yescharacteristic
30#16837307C2214yes—
31#16837306C2214yes—
32#16837306C2214yes—
33#16837300C2212yes—
34#16837300C2212yes—
35#16837298C2212yes—
36#16837298C2212yes—
37#16837298C2212yes—
38#16837298C2212yes—
39#16837298C2214yes—
40#16837297C2214yes—
41#16837297C2214yes—
42#16837287C2214yes—
43#16837287C2214yes—
44#16837284C2214yes—
45#16837284C2214yes—
46#16837283C2214yes—
47#16837283C2214yes—
48#16837275C2214yes—
49#16837271C2212yes—
50#16837267C2212yes—
51#16837260C2214yes—
52C4⋊C4×Dic59C2212yes—
53C4⋊C4×Dic59C2212yes—
54C4⋊C4×Dic59C2212yes—
55C4⋊C4×Dic59C2212yes—
56C4⋊C4×Dic59C2211yescharacteristic
57C4⋊C4×Dic59C2211yescharacteristic
58C4⋊C4×Dic59C2211yescharacteristic
59C4⋊C4×Dic59C2211yescharacteristic
60C4⋊C4×Dic59C2211yescharacteristic
61C4⋊C4×Dic59C2211yescharacteristic
62C4⋊C4×Dic59C2211yescharacteristic
63C4⋊C4×Dic59C2211yescharacteristic
64C4⋊C4×Dic59C2214yes—
65#16837253C2214yes—
66#16837253C2214yes—
67C22⋊C4×Dic59C2212yes—
68C22⋊C4×Dic59C2212yes—
69C22⋊C4×Dic59C2212yes—
70C22⋊C4×Dic59C2212yes—
71#16837248C2212yes—
72#16837248C2212yes—
73C2×C59⋊#95C2212yes—
74C42×Dic59C2212yes—
75C42×Dic59C2212yes—
76C2×#117×C59C2211yescharacteristic
77C2×#117×C59C2211yescharacteristic
78C22×C4⋊C4×C59C2211yescharacteristic
79C59×#389C2212yes—
80C59×#389C2212yes—
81C59×#385C2214yes—
82C59×#384C2212yes—
83C59×#382C2212yes—
84C22×Dic118C2314yes—
85C23×Dic59C2311yescharacteristic
86C23×Dic59C2312yes—
87C23×Dic59C2311yescharacteristic
88#14273727C2×C4116yescomplemented
89#14273726C2×C4116yescomplemented
90#14273719C2×C4116yescomplemented
91#14273718C2×C4116yescomplemented
92#14273704C2×C4132yes—
93#14273692—48no—
94#14273686—24no—
95#14273686C2×C418yes—
96C2×C4⋊Dic59C2×C418yes—
97C2×C4⋊Dic59C2311yescharacteristic
98C2×C4⋊Dic59C2311yescharacteristic
99C2×C4⋊Dic59C2314yes—
100C2×C4⋊Dic59C2312yes—
101C2×C4⋊Dic59C2311yescharacteristic
102C2×C4⋊Dic59C2312yes—
103C2×C4⋊Dic59C2311yescharacteristic
104C2×Dic59⋊C4C2314yes—
105C2×Dic59⋊C4C2314yes—
106C2×Dic59⋊C4C2314yes—
107C2×Dic59⋊C4C2314yes—
108C2×Dic59⋊C4C2314yes—
109C2×Dic59⋊C4C2314yes—
110C2×C22⋊Dic59C2312yes—
111C2×C22⋊Dic59C2312yes—
112C2×C4×Dic59—44no—
113C2×C4×Dic59Q818yescomplemented
114C2×C4×Dic59C2312yes—
115C2×C4×Dic59C2312yes—
116C2×C4×Dic59C2312yes—
117C2×C4×Dic59C2312yes—
118C2×C4×Dic59C2312yes—
119C2×C4×Dic59C2314yes—
120C2×C4×Dic59C2312yes—
121C2×C4×Dic59C2312yes—
122C2×C4×Dic59C2312yes—
123C2×C4×Dic59C2312yes—
124C2×C4×Dic59C2314yes—
125C2×C4×Dic59C2312yes—
126C2×C4×Dic59C2311yescharacteristic
127C2×C4×Dic59C2311yescharacteristic
128C2×C4×Dic59C2311yescharacteristic
129C2×C4×Dic59C2311yescharacteristic
130C59⋊#95C2314yes—
131C59⋊#95C2314yes—
132C59⋊#95C2312yes—
133C59⋊#95C2312yes—
134C59⋊#95C2312yes—
135C59⋊#95C2312yes—
136C59⋊#95C2312yes—
137C59⋊#95C2312yes—
138C59⋊#95C2312yes—
139C59⋊#95C2312yes—
140C59⋊#95C2314yes—
141C59⋊#95C2314yes—
142C59⋊#95C2314yes—
143C59⋊#95C2314yes—
144C23×C4×C59C2312yes—
145C23×C4×C59C2311yescharacteristic
146#117×C59—24no—
147#117×C59C2×C418yes—
148C2×C4⋊C4×C59—24no—
149C2×C4⋊C4×C59C2311yescharacteristic
150C2×C4⋊C4×C59C2312yes—
151C2×C4⋊C4×C59C2311yescharacteristic
152C2×C4⋊C4×C59C2312yes—
153C2×C4⋊C4×C59C2314yes—
154C2×C4⋊C4×C59C2314yes—
155C2×C4⋊C4×C59C2311yescharacteristic
156C2×C4⋊C4×C59C2311yescharacteristic
157C2×C22⋊C4×C59C2312yes—
158C2×C22⋊C4×C59C2312yes—
159C2×C42×C59C2312yes—
160C2×C42×C59C2312yes—
161#95×C59C2314yes—
162#95×C59C2314yes—
163C24×C59C2411yescharacteristic
164C22×C4×C59—24no—
165C22×C4×C59—42no—
166C22×C4×C59—42no—
167C22×C4×C59C22×C414yes—
168C22×C4×C59C2×Q814yes—
169C22×C4×C59#4114yes—
170C22×C4×C59C2412yes—
171C22×C4×C59C2414yes—
172C22×C4×C59C2412yes—
173C22×C4×C59C2412yes—
174C22×C4×C59C2412yes—
175C22×C4×C59C2411yescharacteristic
176C22×C4×C59C2411yescharacteristic
177C22×Dic59—22no—
178C22×Dic59—22no—
179C22×Dic59—42no—
180C22×Dic59—41no—
181C22×Dic59—41no—
182C22×Dic59—42no—
183C22×Dic59C22×C418yes—
184C22×Dic59C2×Q814yes—
185C22×Dic59C2×Q814yes—
186C22×Dic59C2412yes—
187C22×Dic59C2412yes—
188C22×Dic59C2412yes—
189C22×Dic59C2412yes—
190C22×Dic59C2414yes—
191C22×Dic59C2411yescharacteristic
192C22×Dic59C2411yescharacteristic
193C22×Dic59C2411yescharacteristic
194C22×Dic59C2411yescharacteristic
195C2×Dic118—44no—
196C2×Dic118—44no—
197C2×Dic118C22×C4116yes—
198C4⋊C4×C59—24no—
199C4⋊C4×C59—24no—
200C4⋊C4×C59—22no—
201C4⋊C4×C59—22no—
202C4⋊C4×C59—44no—
203C4⋊C4×C59—44no—
204C4⋊C4×C59C22×C414yes—
205C4⋊C4×C59C22×C414yes—
206C22⋊C4×C59—24no—
207C22⋊C4×C59C22×C418yes—
208C42×C59—24no—
209C42×C59C22×C418yes—
210C22⋊Dic59—24no—
211C22⋊Dic59C22×C418yes—
212C4⋊Dic59—22no—
213C4⋊Dic59—22no—
214C4⋊Dic59C22×C418yes—
215C4⋊Dic59C22×C418yes—
216C4⋊Dic59C22×C414yes—
217C4⋊Dic59C22×C414yes—
218C4⋊Dic59C22×C4116yes—
219Dic59⋊C4—44no—
220Dic59⋊C4—44no—
221Dic59⋊C4—44no—
222Dic59⋊C4—44no—
223Dic59⋊C4C22×C4116yes—
224Dic59⋊C4C22×C4116yes—
225C4×Dic59—24no—
226C4×Dic59—28no—
227C4×Dic59—24no—
228C4×Dic59—24no—
229C4×Dic59—24no—
230C4×Dic59—24no—
231C4×Dic59—44no—
232C4×Dic59—42no—
233C4×Dic59—42no—
234C4×Dic59—42no—
235C4×Dic59—42no—
236C4×Dic59C22×C418yes—
237C4×Dic59C2×Q814yes—
238C4×Dic59C2×Q814yes—
239C4×Dic59C2×Q814yes—
240C4×Dic59C2×Q814yes—
241C23×C59—21no—
242C23×C59—21no—
243C23×C59—21no—
244C23×C59—21no—
245C23×C59C23×C412yes—
246C23×C59C22×Q812yes—
247C23×C59C2×#4112yes—
248C23×C59C2511yescharacteristic
249C2×C4×C59—22no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—22no—
254C2×C4×C59—22no—
255C2×C4×C59—24no—
256C2×C4×C59—24no—
257C2×C4×C59—22no—
258C2×C4×C59—22no—
259C2×C4×C59—22no—
260C2×C4×C59—22no—
261C2×C4×C59—24no—
262C2×C4×C59—48no—
263C2×C4×C59C4×Q8116yescomplemented
264C2×C4×C59C23×C414yes—
265C2×C4×C59C23×C414yes—
266C2×C4×C59C23×C412yes—
267C2×C4×C59C23×C412yes—
268C2×C4×C59C22×Q812yes—
269C2×C4×C59C22×Q812yes—
270C2×C4×C59C2×#4112yes—
271C2×C4×C59C2×#4112yes—
272C2×Dic59—24no—
273C2×Dic59—22no—
274C2×Dic59—21no—
275C2×Dic59—22no—
276C2×Dic59—21no—
277C2×Dic59—21no—
278C2×Dic59—21no—
279C2×Dic59—21no—
280C2×Dic59—21no—
281C2×Dic59—22no—
282C2×Dic59—22no—
283C2×Dic59—24no—
284C2×Dic59—28no—
285C2×Dic59—22no—
286C2×Dic59—22no—
287C2×Dic59—22no—
288C2×Dic59—22no—
289C2×Dic59—22no—
290C2×Dic59—22no—
291C2×Dic59—48no—
292C2×Dic59—44no—
293C2×Dic59C23×C414yes—
294C2×Dic59C23×C414yes—
295C2×Dic59C23×C418yes—
296C2×Dic59C22×Q812yes—
297C2×Dic59C22×Q812yes—
298C2×Dic59C22×Q812yes—
299C2×Dic59C22×Q812yes—
300C2×Dic59H(5,𝔽2)12yes—
301C2×Dic592−1+412yes—
302Dic118—416no—
303C4×#544—591nomaximal, Sylow
304C22×C59—22no—
305C22×C59—22no—
306C22×C59—22no—
307C22×C59—22no—
308C22×C59—22no—
309C22×C59—22no—
310C22×C59C2×C4×Q814yes—
311C22×C59C24×C411yescharacteristic
312C22×C59C23×Q811yescharacteristic
313C22×C59C22×#4111yescharacteristic
314C22×C59C2×H(5,𝔽2)11yescharacteristic
315C22×C59C2×2−1+411yescharacteristic
316C22×C59#58511yescharacteristic
317C22×C59#58511yescharacteristic
318C4×C59—24no—
319C4×C59—24no—
320C4×C59—42no—
321C4×C59—44no—
322C4×C59—42no—
323C4×C59C2×C4×Q814yes—
324C4×C59C2×C4×Q814yes—
325Dic59—24no—
326Dic59—28no—
327Dic59—24no—
328Dic59—22no—
329Dic59—22no—
330Dic59—22no—
331Dic59—42no—
332Dic59—42no—
333Dic59#54414yescomplemented
334C2×#544—591no—
335#2331—592no—
336#2331—592no—
337#2330—592no—
338#2330—592no—
339#2329—594no—
340#2317—591no—
341#2317D5911yescharacteristic
342#2316—591no—
343C4×C4⋊Q8—592no—
344C4×C4⋊Q8—592no—
345C4×#125—592no—
346C4×#125—592no—
347C4×C22⋊Q8—594no—
348C4×#117—591no—
349C4×#117—591no—
350C2×C4×C4⋊C4—591no—
351C2×C59—24no—
352C2×C59C22×C4×Q811yescharacteristic
353C2×C59C4×H(5,𝔽2)11yescharacteristic
354C2×C59C4×2−1+411yescharacteristic
355C2×C59C2×#54411yescharacteristic
356C2×C59#345811yescharacteristic
357C2×C59#346011yescharacteristic
358C2×C59#346111yescharacteristic
359#544—5916no—
360C2×C4⋊Q8—592no—
361C2×C4⋊Q8—592no—
362C2×#125—592no—
363C2×#125—592no—
364C2×C22⋊Q8—594no—
365C2×C4×Q8—594no—
366C2×#117—591no—
367C2×#117—591no—
368C2×#117C2×D5911yescharacteristic
369C2×#117C2×D5911yescharacteristic
370C22×C4⋊C4—591no—
371C22×C4⋊C4C2×D5911yescharacteristic
372C22×C42—591no—
373C22×C42—592no—
374#391—594no—
375#391—594no—
376#391—594no—
377#389—592no—
378#389—592no—
379#389—592no—
380#389—592no—
381#389—594no—
382#389—594no—
383#389—594no—
384#389—592no—
385#389—592no—
386#389C2×D5912yes—
387#389C2×D5912yes—
388#387—594no—
389#387—594no—
390#387—594no—
391#387—594no—
392#387—594no—
393#387—594no—
394#385—594no—
395#385C2×D5914yes—
396#384—592no—
397#384C2×D5912yes—
398#382—592no—
399#382C2×D5912yes—
400#380—594no—
401C4×C4⋊C4—591no—
402C4×C4⋊C4—591no—
403C4×C4⋊C4—592no—
404C4×C4⋊C4—592no—
405C4×C4⋊C4—594no—
406C4×C4⋊C4—591no—
407C4×C4⋊C4—591no—
408C4×C4⋊C4—591no—
409C4×C4⋊C4—591no—
410C4×C4⋊C4—592no—
411C4×C4⋊C4—592no—
412C4×C4⋊C4—591no—
413C4×C4⋊C4—591no—
414C4×C4⋊C4—594no—
415C4×C4⋊C4—594no—
416C4×C22⋊C4—592no—
417C4×C22⋊C4—592no—
418C4×C22⋊C4—592no—
419C4×C22⋊C4—592no—
420#376—592no—
421#376—592no—
422C2×#95—592no—
423C43—592no—
424C43—592no—
425C59C4×#54411yescharacteristic, complemented, Sylow
426C22×Q8—594no—
427C23×C4—591no—
428C23×C4—592no—
429C23×C4—591no—
430C23×C4C22×D5912yes—
431C23×C4C22×D5911yescharacteristic
432C4⋊Q8—5916no—
433C4⋊Q8—5916no—
434#125—5916no—
435#125—5916no—
436C22⋊Q8—5932no—
437C4×Q8—2368no—
438#117—24no—
439#117—598no—
440#117—1184no—
441#117C4×D5918yes—
442C2×C4⋊C4—24no—
443C2×C4⋊C4—598no—
444C2×C4⋊C4—592no—
445C2×C4⋊C4—592no—
446C2×C4⋊C4—591no—
447C2×C4⋊C4—591no—
448C2×C4⋊C4—594no—
449C2×C4⋊C4—594no—
450C2×C4⋊C4—594no—
451C2×C4⋊C4—591no—
452C2×C4⋊C4—591no—
453C2×C4⋊C4—594no—
454C2×C4⋊C4—594no—
455C2×C4⋊C4—594no—
456C2×C4⋊C4—594no—
457C2×C4⋊C4C22×D5912yes—
458C2×C4⋊C4C22×D5912yes—
459C2×C4⋊C4C22×D5911yescharacteristic
460C2×C4⋊C4C22×D5911yescharacteristic
461C2×C4⋊C4C22×D5914yes—
462C2×C4⋊C4C22×D5914yes—
463C2×C4⋊C4C22×D5911yescharacteristic
464C2×C4⋊C4C22×D5911yescharacteristic
465C2×C22⋊C4—592no—
466C2×C22⋊C4—592no—
467C2×C22⋊C4C22×D5912yes—
468C2×C22⋊C4C22×D5912yes—
469C2×C42—598no—
470C2×C42—592no—
471C2×C42—591no—
472C2×C42—591no—
473C2×C42—591no—
474C2×C42—591no—
475C2×C42—592no—
476C2×C42—592no—
477C2×C42—592no—
478C2×C42—594no—
479C2×C42—592no—
480C2×C42—592no—
481C2×C42—592no—
482C2×C42—592no—
483C2×C42—592no—
484C2×C42—592no—
485C2×C42—594no—
486C2×C42—2364no—
487C2×C42C22×D5912yes—
488C2×C42C22×D5912yes—
489#95—594no—
490#95—594no—
491#95—592no—
492#95—592no—
493#95—592no—
494#95—592no—
495#95—592no—
496#95—592no—
497#95—592no—
498#95—592no—
499#95—594no—
500#95—594no—
501#95—594no—
502#95—594no—
503#95C22×D5914yes—
504#95C22×D5914yes—
505C24C23×D5911yescharacteristic
506C2×Q8—5916no—
507C2×Q8—2364no—
508C2×Q8—2364no—
509C22×C4—24no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—591no—
513C22×C4—594no—
514C22×C4—591no—
515C22×C4—591no—
516C22×C4—591no—
517C22×C4—592no—
518C22×C4—592no—
519C22×C4—594no—
520C22×C4—598no—
521C22×C4—594no—
522C22×C4—592no—
523C22×C4—592no—
524C22×C4—1182no—
525C22×C4—1182no—
526C22×C4—2362no—
527C22×C4—2361no—
528C22×C4—2361no—
529C22×C4—2362no—
530C22×C4C2×C4×D5914yes—
531C22×C4#1174568714yes—
532C22×C4Q8×D5914yes—
533C22×C4C23×D5912yes—
534C22×C4C23×D5914yes—
535C22×C4C23×D5912yes—
536C22×C4C23×D5912yes—
537C22×C4C23×D5912yes—
538C22×C4C23×D5911yescharacteristic
539C22×C4C23×D5911yescharacteristic
540C4⋊C4—24no—
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—598no—
547C4⋊C4—598no—
548C4⋊C4—594no—
549C4⋊C4—594no—
550C4⋊C4—5916no—
551C4⋊C4—5916no—
552C4⋊C4—5916no—
553C4⋊C4—1182no—
554C4⋊C4—1182no—
555C4⋊C4—2364no—
556C4⋊C4—2364no—
557C4⋊C4—2364no—
558C4⋊C4—2364no—
559C4⋊C4C2×C4×D5914yes—
560C4⋊C4C2×C4×D5914yes—
561C22⋊C4—24no—
562C22⋊C4—598no—
563C22⋊C4—1184no—
564C22⋊C4C2×C4×D5918yes—
565C42—24no—
566C42—598no—
567C42—594no—
568C42—594no—
569C42—594no—
570C42—594no—
571C42—1188no—
572C42—1184no—
573C42—1184no—
574C42—1184no—
575C42—1184no—
576C42—1184no—
577C42—2364no—
578C42—2362no—
579C42—2362no—
580C42—2362no—
581C42—2362no—
582C42C2×C4×D5918yes—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23C22×C4×D5912yes—
588C23C2×Q8×D5912yes—
589C23C2×#1174568712yes—
590C23C24×D5911yescharacteristic
591Q8—23616no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—48no—
606C2×C4—592no—
607C2×C4—592no—
608C2×C4—592no—
609C2×C4—594no—
610C2×C4—594no—
611C2×C4—598no—
612C2×C4—592no—
613C2×C4—592no—
614C2×C4—592no—
615C2×C4—1188no—
616C2×C4—1184no—
617C2×C4—1182no—
618C2×C4—1181no—
619C2×C4—1182no—
620C2×C4—1181no—
621C2×C4—1181no—
622C2×C4—1181no—
623C2×C4—1182no—
624C2×C4—1181no—
625C2×C4—1181no—
626C2×C4—1182no—
627C2×C4—1184no—
628C2×C4—1182no—
629C2×C4—1182no—
630C2×C4—1182no—
631C2×C4—1182no—
632C2×C4—1182no—
633C2×C4—1182no—
634C2×C4—2364no—
635C2×C4—2368no—
636C2×C4#14273692116yescomplemented
637C2×C4C22×C4×D5914yes—
638C2×C4C22×C4×D5914yes—
639C2×C4C22×C4×D5912yes—
640C2×C4C22×C4×D5912yes—
641C2×C4C2×Q8×D5912yes—
642C2×C4C2×Q8×D5912yes—
643C2×C4C2×#1174568712yes—
644C2×C4C2×#1174568712yes—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22C2×#1427369214yes—
652C22C23×C4×D5911yescharacteristic
653C22C22×Q8×D5911yescharacteristic
654C22C22×#1174568711yescharacteristic
655C22H(5,𝔽2)×D5911yescharacteristic
656C222−1+4×D5911yescharacteristic
657C22#1683823711yescharacteristic
658C22#1683823911yescharacteristic
659C4—24no—
660C4—24no—
661C4—44no—
662C4—42no—
663C4—42no—
664C4—594no—
665C4—1182no—
666C4—1182no—
667C4—1182no—
668C4—1188no—
669C4—1184no—
670C4—1184no—
671C4—2362no—
672C4—2362no—
673C4C2×#1427369214yes—
674C4C2×#1427369214yes—
675C2—24no—
676C2C22×#1427369211yescharacteristic
677C2#2143730211yescharacteristic
678C2#2143730711yescharacteristic
679C2#544×D5911yescharacteristic
680C2#2143750011yescharacteristic
681C2#2143750911yescharacteristic
682C2#2143752011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC59×#2317C2
socle, cosocleC23×C59C25
prime radicalC24×C59C24
hypercenter#2317D59
hypocenterC59C4×#544
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2317

Complements

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

NH ≅ G/Ntype
2. #21426843C2semidirect
3. #21426842C2semidirect
4. #21426836C2semidirect
5. #21426835C2semidirect
9. #21426667C2semidirect
10. #21426663C2semidirect
11. #21426655C2semidirect
12. #21426651C2semidirect
18. #16838030C4semidirect
88. #14273727C2×C4semidirect
89. #14273726C2×C4semidirect
90. #14273719C2×C4semidirect
91. #14273718C2×C4semidirect
113. C2×C4×Dic59Q8semidirect
263. C2×C4×C59C4×Q8semidirect
333. Dic59#544semidirect
425. C59C4×#544semidirect
636. C2×C4#14273692semidirect

Maximal subgroups

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

subgroupindex
C2×#168380302
#214268432
#214268422
#214268362
#214268352
#214268272
#214267202
#214267122
#214266672
#214266632
#214266552
#214266512
#214266282
#117×Dic592
C2×C4⋊C4×Dic592
C59×#23172
C4×#54459