Finite Group Databasebeta

← C4×#11763036 #17040801

Subgroups — C4×#11763036 #17040801

Order 4352.

1138 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763036C211yesmaximal, characteristic
2C2×C4×#63229C211yesmaximal, characteristic, complemented
3C22×C4×#3622C211yesmaximal, characteristic, complemented
4C4×#10587610C211yesmaximal, characteristic, complemented
5#14529637C211yesmaximal, characteristic, complemented
6#14529509C211yesmaximal, characteristic, complemented
7#14529470C211yesmaximal, characteristic, complemented
8#14529459C211yesmaximal, characteristic, complemented
9#14529213C211yesmaximal, characteristic
10#14529205C211yesmaximal, characteristic, complemented
11#14528807C211yesmaximal, characteristic, complemented
12C4×#10587479C211yesmaximal, characteristic, complemented
13C4×#10587481C211yesmaximal, characteristic, complemented
14C4×#10587503C211yesmaximal, characteristic, complemented
15C4×C17×#121C211yesmaximal, characteristic
16C22×#63229C2211yescharacteristic
17C23×#3622C2211yescharacteristic
18C23×#3622C2211yescharacteristic
19C2×#10587610C2211yescharacteristic
20C2×C4×Dic34C2211yescharacteristic
21#11763036C418yesdirect product factor
22C4×#63229—24no—
23C2×#10587479C2211yescharacteristic
24C2×#10587479C2211yescharacteristic
25C2×#10587479C2211yescharacteristic
26C2×#10587481C2211yescharacteristic
27C2×#10587481C2211yescharacteristic
28C2×#10587481C2211yescharacteristic
29C2×#10587503C2211yescharacteristic
30C2×#10587503C2211yescharacteristic
31C2×#10587503C2211yescharacteristic
32C2×C4×#3622—24no—
33C2×C4×#3622C2211yescharacteristic
34C2×C4×#3622C2211yescharacteristic
35C2×C4×#3622C2211yescharacteristic
36C2×C4×#3622C2211yescharacteristic
37#11762715C2211yescharacteristic
38#11762707C2211yescharacteristic
39#11762693—21no—
40#11762682—21no—
41#11762669C2211yescharacteristic
42C4×#63225—21no—
43C4×C4⋊Dic17C2211yescharacteristic
44C4×C22⋊Dic17—21no—
45#11762571C2211yescharacteristic
46#11762571C2211yescharacteristic
47#11762571C2211yescharacteristic
48#11762571C2211yescharacteristic
49#11762571C2211yescharacteristic
50#11762571C2211yescharacteristic
51C2×C17×#121C2211yescharacteristic
52C2×C4×D4×C17—21no—
53C2×C4×D4×C17C2211yescharacteristic
54C22×C42×C17C2211yescharacteristic
55C17×#390C2211yescharacteristic
56C17×#389C2211yescharacteristic
57C17×#388—21no—
58C17×#386—21no—
59C17×#380C2211yescharacteristic
60C4×C4⋊C4×C17C2211yescharacteristic
61C4×C22⋊C4×C17—21no—
62C22×D4×C17—21no—
63C22×D4×C17C2311yescharacteristic
64C23×C4×C17—21no—
65C23×C4×C17D411yescharacteristic
66C23×C4×C17D411yescharacteristic
67C23×C4×C17C2311yescharacteristic
68C22×Dic34C2311yescharacteristic
69C17×#121—22no—
70C17×#121C2×C414yes—
71C4×D4×C17—22no—
72C4×D4×C17—22no—
73C4×D4×C17—44no—
74C2×C4⋊C4×C17—21no—
75C2×C4⋊C4×C17C2311yescharacteristic
76C2×C4⋊C4×C17C2311yescharacteristic
77C2×C4⋊C4×C17C2311yescharacteristic
78C2×C22⋊C4×C17—21no—
79C2×C22⋊C4×C17—21no—
80C2×C22⋊C4×C17—21no—
81C2×C22⋊C4×C17—21no—
82C2×C22⋊C4×C17—21no—
83C2×C42×C17—22no—
84C2×C42×C17—22no—
85C2×C42×C17—21no—
86C2×C42×C17D411yescharacteristic
87C2×C42×C17D411yescharacteristic
88C2×C42×C17C2311yescharacteristic
89C2×C42×C17C2311yescharacteristic
90C2×C22⋊Dic17—21no—
91C2×C22⋊Dic17—21no—
92C2×#63229—22no—
93C2×#63229—22no—
94C2×#63229C2×C414yescomplemented
95C2×C4⋊Dic17C2311yescharacteristic
96C2×C4⋊Dic17C2311yescharacteristic
97C2×C4⋊Dic17C2311yescharacteristic
98#10587610—22no—
99#10587610C2×C414yescomplemented
100C2×#63225—21no—
101C2×#63225—21no—
102C2×#63225—21no—
103C2×C4×Dic17—21no—
104C2×C4×Dic17—21no—
105C22×#3622—22no—
106C22×#3622—22no—
107C22×#3622—22no—
108C22×#3622—22no—
109C22×#3622—22no—
110C22×#3622C2×C414yescomplemented
111C22×#3622C2311yescharacteristic
112C22×#3622C2311yescharacteristic
113C22×#3622C2311yescharacteristic
114C22×#3622C2311yescharacteristic
115C4×Dic34—22no—
116C4×Dic34—22no—
117C17×#95—21no—
118C17×#95—21no—
119C17×#95—21no—
120#10587503—22no—
121#10587503—22no—
122#10587503C2×C414yescomplemented
123#10587502—21no—
124#10587502—21no—
125#10587502—21no—
126#10587502—21no—
127#10587502—21no—
128#10587481—22no—
129#10587481—22no—
130#10587481C2×C414yescomplemented
131#10587479—22no—
132#10587479—22no—
133#10587479C2×C414yescomplemented
134C4×#3622—22no—
135C4×#3622—22no—
136C4×#3622—22no—
137C4×#3622D414yescomplemented
138C24×C17—21no—
139C24×C17C2×D411yescharacteristic
140C2×D4×C17—24no—
141C2×D4×C17—21no—
142C2×D4×C17—21no—
143C2×D4×C17—21no—
144C2×D4×C17—21no—
145C2×D4×C17—21no—
146C2×D4×C17—42no—
147C2×D4×C17—42no—
148C2×D4×C17C22×C412yes—
149C22×C4×C17—22no—
150C22×C4×C17—22no—
151C22×C4×C17—22no—
152C22×C4×C17—22no—
153C22×C4×C17—22no—
154C22×C4×C17—21no—
155C22×C4×C17—21no—
156C22×C4×C17—21no—
157C22×C4×C17—21no—
158C22×C4×C17—21no—
159C22×C4×C17—21no—
160C22×C4×C17—21no—
161C22×C4×C17—42no—
162C22×C4×C17—42no—
163C22×C4×C17—42no—
164C22×C4×C17SD1614yescomplemented
165C22×C4×C17C22×C412yes—
166C22×C4×C17C2×D411yescharacteristic
167C22×C4×C17C2×D411yescharacteristic
168C22×C4×C17C2×D411yescharacteristic
169C22×C4×C17C2×D411yescharacteristic
170C22×C4×C17C2×D411yescharacteristic
171C22×C4×C17#4112yes—
172C22×C4×C17C2411yescharacteristic
173C22×Dic17—21no—
174C22×Dic17—21no—
175C22×Dic17—21no—
176C22×Dic17—21no—
177C2×Dic34—21no—
178C2×Dic34—21no—
179C2×Dic34—21no—
180C2×Dic34—21no—
181C2×Dic34—21no—
182C2×Dic34C22×C412yes—
183C4⋊C4×C17—21no—
184C4⋊C4×C17—21no—
185C4⋊C4×C17—21no—
186C4⋊C4×C17—21no—
187C4⋊C4×C17—21no—
188C4⋊C4×C17—42no—
189C4⋊C4×C17C22×C412yes—
190C22⋊C4×C17—24no—
191C22⋊C4×C17—42no—
192C22⋊C4×C17—42no—
193C22⋊C4×C17—42no—
194C22⋊C4×C17—42no—
195C42×C17—22no—
196C42×C17—22no—
197C42×C17—21no—
198C42×C17—21no—
199C42×C17—42no—
200C42×C17C2×D412yes—
201C42×C17#4112yes—
202C22⋊Dic17—24no—
203C22⋊Dic17—42no—
204#63229—28no—
205C4⋊Dic17—21no—
206C4⋊Dic17—21no—
207C4⋊Dic17—21no—
208C4⋊Dic17—21no—
209C4⋊Dic17—21no—
210C4⋊Dic17C22×C412yes—
211#63225—24no—
212#63225—42no—
213#63225—42no—
214C4×Dic17—42no—
215C4×Dic17—42no—
216C2×#3622—28no—
217C2×#3622—21no—
218C2×#3622—21no—
219C2×#3622—21no—
220C2×#3622—21no—
221C2×#3622—21no—
222C2×#3622—21no—
223C2×#3622—28no—
224C2×#3622C22×C412yes—
225C2×#3622C22×C412yes—
226C2×#3622C2×D412yes—
227C2×#3622C2×D412yes—
228C2×#3622#4112yes—
229C2×#3622#4112yes—
230C4×#465—171nomaximal, Sylow
231C23×C17—21no—
232C23×C17—21no—
233C23×C17—21no—
234C23×C17—21no—
235C23×C17—22no—
236C23×C17—41no—
237C23×C17—41no—
238C23×C17—41no—
239C23×C17—41no—
240C23×C17—41no—
241C23×C17—41no—
242C23×C17C4×D412yes—
243C23×C17C2×SD1612yes—
244C23×C17#13512yes—
245C23×C17C22×D411yescharacteristic
246D4×C17—22no—
247D4×C17—22no—
248D4×C17—48no—
249D4×C17—41no—
250D4×C17—41no—
251C2×C4×C17—28no—
252C2×C4×C17—21no—
253C2×C4×C17—21no—
254C2×C4×C17—21no—
255C2×C4×C17—21no—
256C2×C4×C17—21no—
257C2×C4×C17—21no—
258C2×C4×C17—21no—
259C2×C4×C17—21no—
260C2×C4×C17—22no—
261C2×C4×C17—22no—
262C2×C4×C17—22no—
263C2×C4×C17—22no—
264C2×C4×C17—28no—
265C2×C4×C17—22no—
266C2×C4×C17—41no—
267C2×C4×C17—41no—
268C2×C4×C17—41no—
269C2×C4×C17—41no—
270C2×C4×C17—41no—
271C2×C4×C17—41no—
272C2×C4×C17—41no—
273C2×C4×C17—41no—
274C2×C4×C17—84no—
275C2×C4×C17C4×D412yes—
276C2×C4×C17#12112yes—
277C2×C4×C17#12112yes—
278C2×C4×C17C2×SD1612yes—
279C2×C4×C17C2×SD1612yes—
280C2×C4×C17#13512yes—
281C2×C4×C17#13512yes—
282C2×C4×C17C23×C411yescharacteristic
283C2×C4×C17C22×D411yescharacteristic
284C2×C4×C17C2×#4111yescharacteristic
285C2×C4×C17C2×#4111yescharacteristic
286C2×C4×C17C2×#4111yescharacteristic
287C2×C4×C17C2×#4111yescharacteristic
288C2×Dic17—22no—
289C2×Dic17—22no—
290C2×Dic17—41no—
291C2×Dic17—41no—
292C2×Dic17—41no—
293C2×Dic17—41no—
294C2×Dic17—41no—
295C2×Dic17—41no—
296C2×Dic17—41no—
297C2×Dic17—41no—
298C2×Dic17—41no—
299C2×Dic17—41no—
300Dic34—22no—
301Dic34—22no—
302Dic34—41no—
303Dic34—41no—
304#3622—22no—
305#3622—22no—
306#3622—22no—
307#3622C4×D414yescomplemented
308C2×#465—171no—
309C2×C4×SD16—171no—
310C22×C4×C8—171no—
311C4×C22⋊Q8—171no—
312C4×#121D1711yescharacteristic
313#1968—171no—
314#1941—171no—
315#1934—171no—
316#1933—171no—
317#1893—171no—
318#1892—171no—
319#1807—171no—
320C4×#106—171no—
321C4×#103—171no—
322C4×#102—171no—
323C22×C17—22no—
324C22×C17—22no—
325C22×C17—22no—
326C22×C17—22no—
327C22×C17—22no—
328C22×C17—22no—
329C22×C17—42no—
330C22×C17—42no—
331C22×C17—42no—
332C22×C17—81no—
333C22×C17—81no—
334C22×C17—81no—
335C22×C17—81no—
336C22×C17C4×SD1614yescomplemented
337C22×C17C2×C4×D411yescharacteristic
338C22×C17C2×#12111yescharacteristic
339C22×C17#53211yescharacteristic
340C22×C17C22×SD1611yescharacteristic
341C22×C17C2×#13511yescharacteristic
342C22×C17C2×#13511yescharacteristic
343C22×C17C2×#13511yescharacteristic
344C4×C17—22no—
345C4×C17—22no—
346C4×C17—22no—
347C4×C17—22no—
348C4×C17—42no—
349C4×C17—81no—
350C4×C17—81no—
351C4×C17#46514yescomplemented
352C4×C17C2×C4×D411yescharacteristic
353C4×C17C4×#4111yescharacteristic
354C4×C17#52511yescharacteristic
355C4×C17#52911yescharacteristic
356Dic17—42no—
357Dic17—42no—
358Dic17—81no—
359Dic17—81no—
360C22×SD16—171no—
361C23×C8—171no—
362C23×C8—171no—
363C2×C22⋊Q8—171no—
364C2×#121C2×D1711yescharacteristic
365C2×C4×Q8—171no—
366C2×C4×D4—21no—
367C2×C4×D4C2×D1711yescharacteristic
368C22×C42C2×D1711yescharacteristic
369#465—178no—
370C4×SD16—344no—
371C2×#106—171no—
372C2×#106—171no—
373C2×#106—171no—
374C2×#103—171no—
375C2×#103—171no—
376C2×#103—171no—
377C2×#102—171no—
378C2×#102—171no—
379C2×#102—171no—
380C2×C4×C8—171no—
381C2×C4×C8—171no—
382C2×C4×C8—171no—
383C2×C4×C8—171no—
384C2×C4×C8—344no—
385#391—171no—
386#390C2×D1711yescharacteristic
387#389—171no—
388#389C2×D1711yescharacteristic
389#388—21no—
390#387—341no—
391#386—21no—
392#385—341no—
393#380—171no—
394#380C2×D1711yescharacteristic
395C4×C4⋊C4—171no—
396C4×C4⋊C4—341no—
397C4×C4⋊C4C2×D1711yescharacteristic
398C4×C22⋊C4—21no—
399C4×C22⋊C4—341no—
400#340—171no—
401#340—171no—
402#340—171no—
403#340—171no—
404#340—171no—
405#340—171no—
406C2×C17—24no—
407C2×C17—82no—
408C2×C17C4×#12111yescharacteristic
409C2×C17C2×C4×SD1611yescharacteristic
410C2×C17C4×#13511yescharacteristic
411C2×C17C2×#46511yescharacteristic
412C2×C17#305011yescharacteristic
413C2×C17#316711yescharacteristic
414C2×C17#316811yescharacteristic
415C22×Q8—171no—
416C22×D4—21no—
417C22×D4C22×D1711yescharacteristic
418C23×C4—21no—
419C23×C4C22⋊D1711yescharacteristic
420C23×C4C22⋊D1711yescharacteristic
421C23×C4C22×D1711yescharacteristic
422C2×SD16—174no—
423C2×SD16—342no—
424C2×SD16—342no—
425C22×C8—171no—
426C22×C8—174no—
427C22×C8—171no—
428C22×C8—171no—
429C22×C8—171no—
430C22×C8—342no—
431C22×C8—342no—
432C22×C8—342no—
433C22×C8—342no—
434C22×C8—342no—
435C22⋊Q8—174no—
436C22⋊Q8—342no—
437#121—22no—
438#121C4×D1714yes—
439C4×Q8—342no—
440C4×Q8—342no—
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—44no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—171no—
446C2×C4⋊C4—171no—
447C2×C4⋊C4—171no—
448C2×C4⋊C4—341no—
449C2×C4⋊C4—341no—
450C2×C4⋊C4—341no—
451C2×C4⋊C4C22×D1711yescharacteristic
452C2×C4⋊C4C22×D1711yescharacteristic
453C2×C4⋊C4C22×D1711yescharacteristic
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—341no—
460C2×C22⋊C4—341no—
461C2×C42—22no—
462C2×C42—22no—
463C2×C42—21no—
464C2×C42—341no—
465C2×C42—341no—
466C2×C42C22⋊D1711yescharacteristic
467C2×C42C22⋊D1711yescharacteristic
468C2×C42C22×D1711yescharacteristic
469C2×C42C22×D1711yescharacteristic
470#106—174no—
471#106—342no—
472#106—342no—
473#103—174no—
474#103—342no—
475#103—342no—
476#102—174no—
477#102—342no—
478#102—342no—
479C4×C8—174no—
480C4×C8—342no—
481C4×C8—342no—
482C4×C8—342no—
483#95—21no—
484#95—21no—
485#95—21no—
486#95—341no—
487#95—341no—
488#95—341no—
489#95—341no—
490#95—341no—
491C17C4×#46511yescharacteristic, complemented, Sylow
492C24—21no—
493C24C2×C22⋊D1711yescharacteristic
494C2×Q8—172no—
495C2×Q8—341no—
496C2×Q8—341no—
497C2×Q8—341no—
498C2×Q8—341no—
499C2×Q8—341no—
500C2×D4—24no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4C2×C4×D1712yes—
509C22×C4—22no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—341no—
525C22×C4—341no—
526C22×C4—341no—
527C22×C4—341no—
528C22×C4#6322914yescomplemented
529C22×C4C2×C4×D1712yes—
530C22×C4#6325212yes—
531C22×C4C2×C22⋊D1711yescharacteristic
532C22×C4C2×C22⋊D1711yescharacteristic
533C22×C4C2×C22⋊D1711yescharacteristic
534C22×C4C2×C22⋊D1711yescharacteristic
535C22×C4C2×C22⋊D1711yescharacteristic
536C22×C4C23×D1711yescharacteristic
537SD16—348no—
538C2×C8—172no—
539C2×C8—172no—
540C2×C8—172no—
541C2×C8—172no—
542C2×C8—172no—
543C2×C8—172no—
544C2×C8—348no—
545C2×C8—348no—
546C2×C8—341no—
547C2×C8—341no—
548C2×C8—341no—
549C2×C8—341no—
550C2×C8—341no—
551C2×C8—341no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—42no—
558C4⋊C4—172no—
559C4⋊C4—341no—
560C4⋊C4—344no—
561C4⋊C4—341no—
562C4⋊C4—341no—
563C4⋊C4—341no—
564C4⋊C4—341no—
565C4⋊C4—682no—
566C4⋊C4—682no—
567C4⋊C4C2×C4×D1712yes—
568C22⋊C4—24no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—42no—
572C22⋊C4—42no—
573C22⋊C4—344no—
574C22⋊C4—682no—
575C42—21no—
576C42—21no—
577C42—22no—
578C42—22no—
579C42—42no—
580C42—682no—
581C42—682no—
582C42D4×D1712yes—
583C42#6325412yes—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—22no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23C4×C22⋊D1712yes—
596C23C2×#6322912yes—
597C23#1058763612yes—
598C23C22×C22⋊D1711yescharacteristic
599Q8—342no—
600Q8—342no—
601Q8—681no—
602Q8—681no—
603D4—22no—
604D4—22no—
605D4—48no—
606D4—41no—
607D4—41no—
608C2×C4—28no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—28no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—84no—
632C2×C4—342no—
633C2×C4—342no—
634C2×C4—681no—
635C2×C4—681no—
636C2×C4—681no—
637C2×C4—681no—
638C2×C4—681no—
639C2×C4—681no—
640C2×C4—681no—
641C2×C4—681no—
642C2×C4—681no—
643C2×C4—681no—
644C2×C4C4×C22⋊D1712yes—
645C2×C4C2×#6322912yes—
646C2×C4C2×#6322912yes—
647C2×C4#1058762512yes—
648C2×C4#1058762512yes—
649C2×C4#1058763612yes—
650C2×C4#1058763612yes—
651C2×C4C22×C4×D1711yescharacteristic
652C2×C4C2×#6325211yescharacteristic
653C2×C4C2×D4×D1711yescharacteristic
654C2×C4C2×#6325411yescharacteristic
655C2×C4#41×D1711yescharacteristic
656C2×C4#41×D1711yescharacteristic
657C8—174no—
658C8—342no—
659C8—342no—
660C8—342no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—42no—
668C22—42no—
669C22—42no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22C4×#6322914yescomplemented
675C22C2×C4×C22⋊D1711yescharacteristic
676C22C2×#1058762511yescharacteristic
677C22#1176335511yescharacteristic
678C22C22×#6322911yescharacteristic
679C22C2×#1058763611yescharacteristic
680C22C2×#1058763611yescharacteristic
681C22C2×#1058763611yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—22no—
686C4—42no—
687C4—81no—
688C4—81no—
689C4—682no—
690C4—682no—
691C4—1361no—
692C4—1361no—
693C4#1176303614yesdirect product factor
694C4C4×D4×D1711yescharacteristic
695C4C4×#6325411yescharacteristic
696C4#1176331811yescharacteristic
697C4#1176333911yescharacteristic
698C2—24no—
699C2—82no—
700C2C4×#1058762511yescharacteristic
701C2C2×C4×#6322911yescharacteristic
702C2C4×#1058763611yescharacteristic
703C2C2×#1176303611yescharacteristic
704C2#1453836211yescharacteristic
705C2#1453933911yescharacteristic
706C2#1453934811yescharacteristic
subgroupG/H
centerC22×C4C2×C22⋊D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC4×C17×#121C2
socleC23×C17C22×D4
prime radicalC2×C17×#121C22
cosocleC22×C4×C17C24
hypercenterC4×#121D17
hypocenterC17C4×#465
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
2. C2×C4×#63229C2semidirect
3. C22×C4×#3622C2semidirect
4. C4×#10587610C2semidirect
5. #14529637C2semidirect
6. #14529509C2semidirect
7. #14529470C2semidirect
8. #14529459C2semidirect
10. #14529205C2semidirect
11. #14528807C2semidirect
12. C4×#10587479C2semidirect
13. C4×#10587481C2semidirect
14. C4×#10587503C2semidirect
21. #11763036C4direct (N × H)
94. C2×#63229C2×C4semidirect
99. #10587610C2×C4semidirect
110. C22×#3622C2×C4semidirect
122. #10587503C2×C4semidirect
130. #10587481C2×C4semidirect
133. #10587479C2×C4semidirect
137. C4×#3622D4semidirect
164. C22×C4×C17SD16semidirect
307. #3622C4×D4semidirect
336. C22×C17C4×SD16semidirect
351. C4×C17#465semidirect
491. C17C4×#465semidirect
528. C22×C4#63229semidirect
674. C22C4×#63229semidirect
693. C4#11763036direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117630362
C2×C4×#632292
C22×C4×#36222
C4×#105876102
#145296372
#145295092
#145294702
#145294592
#145292132
#145292052
#145288072
C4×#105874792
C4×#105874812
C4×#105875032
C4×C17×#1212
C4×#46517