Finite Group Databasebeta

← #28611412

Subgroups — #28611412

Order 15104.

982 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837629C211yesmaximal, characteristic
2C2×#16837502C211yesmaximal, characteristic, complemented
3C2×#16837438C211yesmaximal, characteristic, complemented
4#21427121C211yesmaximal, characteristic, complemented
5#21424976C211yesmaximal, characteristic, complemented
6#21424836C211yesmaximal, characteristic, complemented
7#21424730C211yesmaximal, characteristic, complemented
8#21424720C211yesmaximal, characteristic, complemented
9#21424419C211yesmaximal, characteristic
10#21424408C211yesmaximal, characteristic, complemented
11#21424363C211yesmaximal, characteristic, complemented
12#21424357C211yesmaximal, characteristic, complemented
13#21423994C211yesmaximal, characteristic, complemented
14#21423874C211yesmaximal, characteristic, complemented
15C59×#2363C211yesmaximal, characteristic
16C22×#11745670C2211yescharacteristic
17C23×C59⋊C8C2211yescharacteristic
18C2×#14273706C2211yescharacteristic
19C2×C4×Dic118C2211yescharacteristic
20C2×#14273686C2211yescharacteristic
21#16837629C418yescomplemented
22#16837502—24no—
23#16837438—24no—
24C2×#14273660C2211yescharacteristic
25C2×#14273660C2211yescharacteristic
26C2×#14273658C2211yescharacteristic
27C2×#14273658C2211yescharacteristic
28C2×#14273658C2211yescharacteristic
29C2×#14273650C2211yescharacteristic
30C2×#14273650C2211yescharacteristic
31C2×#14273650C2211yescharacteristic
32C2×#14273648C2211yescharacteristic
33C2×#14273648C2211yescharacteristic
34C2×#14273648C2211yescharacteristic
35C2×C22⋊(C59⋊C8)C2211yescharacteristic
36C2×#14273638C2211yescharacteristic
37C2×#14273638C2211yescharacteristic
38#16837308C2211yescharacteristic
39#16837300C2211yescharacteristic
40#16837296—21no—
41#16837290—21no—
42#16837284—21no—
43C4×C4⋊Dic59C2211yescharacteristic
44#16837253—21no—
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837157C2211yescharacteristic
50#16837157C2211yescharacteristic
51C2×#121×C59C2211yescharacteristic
52C2×C4×D4×C59C2211yescharacteristic
53C2×#117×C59C2211yescharacteristic
54C59×#390—21no—
55C59×#390C2211yescharacteristic
56C59×#389C2211yescharacteristic
57C59×#388—21no—
58C59×#386—21no—
59C4×C4⋊C4×C59C2211yescharacteristic
60C4×C22⋊C4×C59—21no—
61C4×C22⋊C4×C59C2211yescharacteristic
62C22×Dic118C2311yescharacteristic
63C2×#11745670—22no—
64C2×#11745670—22no—
65C2×#11745670C2×C414yes—
66C22×C59⋊C8—22no—
67C22×C59⋊C8—22no—
68C22×C59⋊C8C2×C414yescomplemented
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73#14273706—22no—
74#14273706C2×C414yescomplemented
75C4×Dic118—22no—
76C4×Dic118—41no—
77#14273686—22no—
78#14273686—41no—
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C4⋊Dic59C2311yescharacteristic
82C2×Dic59⋊C4—21no—
83C2×Dic59⋊C4—21no—
84C2×Dic59⋊C4—21no—
85C2×C22⋊Dic59—21no—
86C2×C22⋊Dic59—21no—
87C2×C4×Dic59—21no—
88C2×C4×Dic59—21no—
89C2×C4×Dic59—21no—
90#14273660—22no—
91#14273660D414yescomplemented
92#14273658—22no—
93#14273658—22no—
94#14273658C2×C414yescomplemented
95#14273650—22no—
96#14273650—41no—
97#14273650C2×C414yescomplemented
98#14273648—22no—
99#14273648—41no—
100#14273648C2×C414yes—
101C22⋊(C59⋊C8)—22no—
102#14273638—22no—
103#14273638—22no—
104C59⋊#95—21no—
105C59⋊#95—21no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C22×D4×C59—21no—
109C22×D4×C59C2311yescharacteristic
110C23×C4×C59—21no—
111C23×C4×C59C2311yescharacteristic
112#121×C59—22no—
113#121×C59C2×C414yes—
114C4×D4×C59—22no—
115C4×D4×C59—41no—
116#117×C59—22no—
117#117×C59—41no—
118C2×C4⋊C4×C59—21no—
119C2×C4⋊C4×C59C2311yescharacteristic
120C2×C4⋊C4×C59C2311yescharacteristic
121C2×C4⋊C4×C59C2311yescharacteristic
122C2×C22⋊C4×C59—21no—
123C2×C22⋊C4×C59—21no—
124C2×C22⋊C4×C59—21no—
125C2×C22⋊C4×C59—21no—
126C2×C22⋊C4×C59—21no—
127C2×C22⋊C4×C59D411yescharacteristic
128C2×C22⋊C4×C59D411yescharacteristic
129C2×C42×C59—21no—
130C2×C42×C59—21no—
131C2×C42×C59C2311yescharacteristic
132C2×C42×C59C2311yescharacteristic
133#95×C59—21no—
134#95×C59—21no—
135#95×C59D411yescharacteristic
136#95×C59D411yescharacteristic
137C24×C59—21no—
138C24×C59C2×D411yescharacteristic
139C2×D4×C59—24no—
140C2×D4×C59—21no—
141C2×D4×C59—21no—
142C2×D4×C59—21no—
143C2×D4×C59—21no—
144C2×D4×C59—21no—
145C2×D4×C59—81no—
146C2×D4×C59—81no—
147C2×D4×C59C22×C412yes—
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—42no—
156C22×C4×C59—42no—
157C22×C4×C59—81no—
158C22×C4×C59C22×C412yes—
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2×D411yescharacteristic
161C22×C4×C59C2×D411yescharacteristic
162C22×C4×C59C2×D411yescharacteristic
163C22×C4×C59C2×D411yescharacteristic
164C22×C4×C59#4112yes—
165C22×C4×C59C2411yescharacteristic
166C22×Dic59—21no—
167C22×Dic59—21no—
168C22×Dic59—21no—
169C22×Dic59—21no—
170C2×Dic118—21no—
171C2×Dic118—21no—
172C2×Dic118—21no—
173C2×Dic118—21no—
174C2×Dic118—21no—
175C2×Dic118C22×C412yes—
176C4⋊C4×C59—21no—
177C4⋊C4×C59—21no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—81no—
181C4⋊C4×C59C22×C412yes—
182C4⋊C4×C59C2×D412yes—
183C22⋊C4×C59—24no—
184C22⋊C4×C59—41no—
185C22⋊C4×C59—41no—
186C22⋊C4×C59—42no—
187C22⋊C4×C59—42no—
188C22⋊C4×C59—42no—
189C22⋊C4×C59—81no—
190C42×C59—21no—
191C42×C59—21no—
192C42×C59—21no—
193C42×C59—21no—
194C42×C59—42no—
195C42×C59—81no—
196C22⋊Dic59—24no—
197C22⋊Dic59—42no—
198#11745670—28no—
199C4⋊Dic59—21no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59C22×C412yes—
204C4⋊Dic59C2×D412yes—
205Dic59⋊C4—24no—
206Dic59⋊C4—42no—
207Dic59⋊C4—42no—
208C4×Dic59—42no—
209C4×Dic59—42no—
210C4×Dic59—42no—
211C2×C59⋊C8—21no—
212C2×C59⋊C8—21no—
213C2×C59⋊C8—28no—
214C2×C59⋊C8—21no—
215C2×C59⋊C8—21no—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—21no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8C22×C412yes—
221C2×C59⋊C8C22×C412yes—
222C2×C59⋊C8C2×D412yes—
223C2×C59⋊C8#4112yes—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—22no—
231C23×C59—41no—
232C23×C59—41no—
233C23×C59—41no—
234C23×C59—41no—
235C23×C59—41no—
236C23×C59—41no—
237C23×C59C4×D412yes—
238C23×C59C22×D411yescharacteristic
239D4×C59—22no—
240D4×C59—22no—
241D4×C59—41no—
242D4×C59—41no—
243D4×C59—84no—
244C2×C4×C59—21no—
245C2×C4×C59—21no—
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—22no—
249C2×C4×C59—22no—
250C2×C4×C59—22no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—22no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
258C2×C4×C59—21no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
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×C59C4×D412yes—
273C2×C4×C59C23×C411yescharacteristic
274C2×C4×C59C22×D411yescharacteristic
275C2×C4×C59C2×#4111yescharacteristic
276C2×C4×C59C2×#4111yescharacteristic
277C2×C4×C59H(5,𝔽2)11yescharacteristic
278C2×C4×C592−1+411yescharacteristic
279C2×Dic59—22no—
280C2×Dic59—22no—
281C2×Dic59—22no—
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—
291Dic118—22no—
292Dic118—22no—
293Dic118—41no—
294Dic118—41no—
295C59⋊C8—22no—
296C59⋊C8—41no—
297C59⋊C8—41no—
298C59⋊C8C4×D414yes—
299#23033—591nomaximal, Sylow
300C22×C59—22no—
301C22×C59—22no—
302C22×C59—22no—
303C22×C59—41no—
304C22×C59—41no—
305C22×C59—41no—
306C22×C59—41no—
307C22×C59—42no—
308C22×C59—42no—
309C22×C59—42no—
310C22×C59—81no—
311C22×C59—81no—
312C22×C59—81no—
313C22×C59—81no—
314C22×C59C2×C4×D411yescharacteristic
315C22×C59D4211yescharacteristic
316C22×C59#54711yescharacteristic
317C22×C59#57511yescharacteristic
318C22×C59#57511yescharacteristic
319C22×C59#57711yescharacteristic
320C22×C59#57711yescharacteristic
321C4×C59—22no—
322C4×C59—41no—
323C4×C59—41no—
324C4×C59—42no—
325C4×C59—41no—
326C4×C59—42no—
327C4×C59—41no—
328C4×C59—81no—
329C4×C59C2×C4×D411yescharacteristic
330C4×C59#52011yescharacteristic
331C4×C59#54811yescharacteristic
332C4×C59#55311yescharacteristic
333Dic59—42no—
334Dic59—42no—
335Dic59—42no—
336Dic59—81no—
337C2×#465—591no—
338C2×#440—591no—
339C2×#427—591no—
340#2363D5911yescharacteristic
341#2362—591no—
342#1973—591no—
343#1944—591no—
344#1927—591no—
345#1926—591no—
346#1875—591no—
347#1873—591no—
348#1865—591no—
349#1864—591no—
350#1776—591no—
351#1752—591no—
352C2×C59—42no—
353C2×C59—82no—
354C2×C59#236111yescharacteristic
355C2×C59#294311yescharacteristic
356C2×C59#294911yescharacteristic
357C2×C59#326711yescharacteristic
358C2×C59#327111yescharacteristic
359C2×C59#334811yescharacteristic
360C2×C59#335011yescharacteristic
361C22×SD16—591no—
362C23×C8—591no—
363C2×C22⋊Q8—591no—
364C2×#121C2×D5911yescharacteristic
365C2×C4×Q8—591no—
366C2×C4×D4C2×D5911yescharacteristic
367C2×#117—591no—
368C2×#117C2×D5911yescharacteristic
369#465—598no—
370#440—1184no—
371#427—1184no—
372C2×#107—591no—
373C2×#107—591no—
374C2×#106—591no—
375C2×#106—591no—
376C2×#106—591no—
377C2×#103—591no—
378C2×#103—591no—
379C2×#103—591no—
380C2×#102—591no—
381C2×#102—591no—
382C2×#102—591no—
383C2×C22⋊C8—591no—
384C2×#97—591no—
385C2×#97—591no—
386#391—591no—
387#390—21no—
388#390C2×D5911yescharacteristic
389#389—591no—
390#389C2×D5911yescharacteristic
391#388—21no—
392#388—1181no—
393#388—1181no—
394#387—1181no—
395#386—21no—
396C4×C4⋊C4—591no—
397C4×C4⋊C4—1181no—
398C4×C4⋊C4C2×D5911yescharacteristic
399C4×C22⋊C4—21no—
400C4×C22⋊C4C2×D5911yescharacteristic
401#340—591no—
402#340—591no—
403#340—591no—
404#340—591no—
405#336—591no—
406#336—591no—
407C59#2303311yescharacteristic, complemented, Sylow
408C22×Q8—591no—
409C22×D4—21no—
410C22×D4C22×D5911yescharacteristic
411C23×C4—21no—
412C23×C4C22×D5911yescharacteristic
413C2×SD16—594no—
414C2×SD16—1182no—
415C2×SD16—1182no—
416C22×C8—591no—
417C22×C8—594no—
418C22×C8—591no—
419C22×C8—591no—
420C22×C8—591no—
421C22×C8—1182no—
422C22×C8—1182no—
423C22⋊Q8—594no—
424C22⋊Q8—1182no—
425#121—22no—
426#121C4×D5914yes—
427C4×Q8—1182no—
428C4×Q8—2361no—
429C4×D4—22no—
430C4×D4—41no—
431#117—22no—
432#117—41no—
433#117—1182no—
434#117—2361no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—591no—
437C2×C4⋊C4—591no—
438C2×C4⋊C4—591no—
439C2×C4⋊C4—1181no—
440C2×C4⋊C4—1181no—
441C2×C4⋊C4—1181no—
442C2×C4⋊C4C22×D5911yescharacteristic
443C2×C4⋊C4C22×D5911yescharacteristic
444C2×C4⋊C4C22×D5911yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—1181no—
451C2×C22⋊C4—1181no—
452C2×C22⋊C4C22⋊D5911yescharacteristic
453C2×C22⋊C4C22⋊D5911yescharacteristic
454C2×C42—21no—
455C2×C42—21no—
456C2×C42—1181no—
457C2×C42—1181no—
458C2×C42—1181no—
459C2×C42C22×D5911yescharacteristic
460C2×C42C22×D5911yescharacteristic
461#107—594no—
462#107—1182no—
463#106—594no—
464#106—1182no—
465#106—1182no—
466#103—594no—
467#103—1182no—
468#103—2361no—
469#102—594no—
470#102—1182no—
471#102—2361no—
472C22⋊C8—1182no—
473#97—1182no—
474#97—1182no—
475#95—21no—
476#95—21no—
477#95—1181no—
478#95—1181no—
479#95—1181no—
480#95—1181no—
481#95C22⋊D5911yescharacteristic
482#95C22⋊D5911yescharacteristic
483C24—21no—
484C24C2×C22⋊D5911yescharacteristic
485C2×Q8—592no—
486C2×Q8—1181no—
487C2×Q8—1181no—
488C2×Q8—1181no—
489C2×Q8—1181no—
490C2×Q8—1181no—
491C2×D4—24no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—81no—
498C2×D4—81no—
499C2×D4C2×C4×D5912yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—81no—
510C22×C4—1181no—
511C22×C4—1181no—
512C22×C4—1181no—
513C22×C4—1181no—
514C22×C4C2×C4×D5912yes—
515C22×C4#1174568512yes—
516C22×C4C2×C22⋊D5911yescharacteristic
517C22×C4C2×C22⋊D5911yescharacteristic
518C22×C4C2×C22⋊D5911yescharacteristic
519C22×C4C2×C22⋊D5911yescharacteristic
520C22×C4C2×C22⋊D5911yescharacteristic
521C22×C4C23×D5911yescharacteristic
522SD16—1188no—
523C2×C8—592no—
524C2×C8—592no—
525C2×C8—592no—
526C2×C8—592no—
527C2×C8—1188no—
528C2×C8—1181no—
529C2×C8—1181no—
530C2×C8—1181no—
531C2×C8—1181no—
532C2×C8—1181no—
533C2×C8—1181no—
534C2×C8—1181no—
535C2×C8—1181no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—81no—
541C4⋊C4—592no—
542C4⋊C4—592no—
543C4⋊C4—1184no—
544C4⋊C4—1181no—
545C4⋊C4—1181no—
546C4⋊C4—1181no—
547C4⋊C4—1181no—
548C4⋊C4—2362no—
549C4⋊C4—2362no—
550C4⋊C4C2×C4×D5912yes—
551C4⋊C4D4×D5912yes—
552C22⋊C4—24no—
553C22⋊C4—41no—
554C22⋊C4—41no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C22⋊C4—42no—
558C22⋊C4—81no—
559C22⋊C4—1184no—
560C22⋊C4—2362no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—42no—
566C42—81no—
567C42—2362no—
568C42—2362no—
569C42—2362no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—22no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23C4×C22⋊D5912yes—
584C23C22×C22⋊D5911yescharacteristic
585Q8—1182no—
586Q8—1182no—
587Q8—2361no—
588Q8—2361no—
589D4—22no—
590D4—22no—
591D4—41no—
592D4—41no—
593D4—84no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—1182no—
623C2×C4—1182no—
624C2×C4—1182no—
625C2×C4—2361no—
626C2×C4—2361no—
627C2×C4—2361no—
628C2×C4—2361no—
629C2×C4—2361no—
630C2×C4—2361no—
631C2×C4—2361no—
632C2×C4—2361no—
633C2×C4—2361no—
634C2×C4C4×C22⋊D5912yes—
635C2×C4C22×C4×D5911yescharacteristic
636C2×C4C2×D4×D5911yescharacteristic
637C2×C4#41×D5911yescharacteristic
638C2×C4C2×#1174568511yescharacteristic
639C2×C4#1427377211yescharacteristic
640C2×C4#1427377411yescharacteristic
641C8—594no—
642C8—1182no—
643C8—2361no—
644C8—2361no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22C2×C4×C22⋊D5911yescharacteristic
660C22D4×C22⋊D5911yescharacteristic
661C22#1683805111yescharacteristic
662C22#1683820011yescharacteristic
663C22#1683820011yescharacteristic
664C22#1683821311yescharacteristic
665C22#1683821311yescharacteristic
666C4—22no—
667C4—41no—
668C4—42no—
669C4—41no—
670C4—41no—
671C4—41no—
672C4—42no—
673C4—81no—
674C4—4721no—
675C4—2362no—
676C4—2362no—
677C4—2362no—
678C4C4×D4×D5911yescharacteristic
679C4#1683788111yescharacteristic
680C4#1683806111yescharacteristic
681C4#1683810111yescharacteristic
682C2—42no—
683C2—82no—
684C2#2142711311yescharacteristic
685C2#2143289411yescharacteristic
686C2#2143295311yescharacteristic
687C2#2143561711yescharacteristic
688C2#2143567711yescharacteristic
689C2#2143661111yescharacteristic
690C2#2143663511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2363C2
socleC23×C59C22×D4
prime radicalC2×#121×C59C22
cosocleC22×C4×C59C24
hypercenter#2363D59
hypocenterC59#23033
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2363

Complements

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

NH ≅ G/Ntype
2. C2×#16837502C2semidirect
3. C2×#16837438C2semidirect
4. #21427121C2semidirect
5. #21424976C2semidirect
6. #21424836C2semidirect
7. #21424730C2semidirect
8. #21424720C2semidirect
10. #21424408C2semidirect
11. #21424363C2semidirect
12. #21424357C2semidirect
13. #21423994C2semidirect
14. #21423874C2semidirect
21. #16837629C4semidirect
68. C22×C59⋊C8C2×C4semidirect
74. #14273706C2×C4semidirect
91. #14273660D4semidirect
94. #14273658C2×C4semidirect
97. #14273650C2×C4semidirect
407. C59#23033semidirect

Maximal subgroups

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

subgroupindex
C2×#168376292
C2×#168375022
C2×#168374382
#214271212
#214249762
#214248362
#214247302
#214247202
#214244192
#214244082
#214243632
#214243572
#214239942
#214238742
C59×#23632
#2303359