Finite Group Databasebeta

← C4×#11763024 #17040544

Subgroups — C4×#11763024 #17040544

Order 4352.

1136 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×#11763024C211yesmaximal, characteristic
2C2×C4×#63229C211yesmaximal, characteristic, complemented
3C2×C4×#63228C211yesmaximal, characteristic
4C4×#10587561C211yesmaximal, characteristic, complemented
5#14529716C211yesmaximal, characteristic, complemented
6#14529552C211yesmaximal, characteristic, complemented
7#14529425C211yesmaximal, characteristic, complemented
8#14529411C211yesmaximal, characteristic, complemented
9#14529132C211yesmaximal, characteristic
10#14529118C211yesmaximal, characteristic, complemented
11#14528794C211yesmaximal, characteristic, complemented
12C4×C4⋊#3622C211yesmaximal, characteristic, complemented
13C4×#10587481C211yesmaximal, characteristic, complemented
14C4×#10587480C211yesmaximal, characteristic, complemented
15C42×D4×C17C211yesmaximal, characteristic, complemented
16C22×#63229C2211yescharacteristic
17C22×#63228C2211yescharacteristic
18C2×#10587561C2211yescharacteristic
19C2×C4×Dic34C2211yescharacteristic
20C2×C4×D68C2211yescharacteristic
21#11763024C418yesdirect product factor
22C4×#63229—24no—
23C4×#63228—24no—
24C2×#10587478C2211yescharacteristic
25C2×#10587479C2211yescharacteristic
26C2×C4⋊#3622C2211yescharacteristic
27C2×C4⋊#3622C2211yescharacteristic
28C2×#10587481C2211yescharacteristic
29C2×#10587481C2211yescharacteristic
30C2×#10587481C2211yescharacteristic
31C2×#10587503C2211yescharacteristic
32C2×#10587503C2211yescharacteristic
33C2×#10587480C2211yescharacteristic
34C2×#10587480C2211yescharacteristic
35C2×#10587480C2211yescharacteristic
36C2×C4×#3622C2211yescharacteristic
37C2×C4×#3622C2211yescharacteristic
38#11762715C2211yescharacteristic
39#11762711C2211yescharacteristic
40#11762700—21no—
41#11762700—21no—
42#11762675C2211yescharacteristic
43C4×#63227—21no—
44C4×#63227—21no—
45#11762571C2211yescharacteristic
46#11762571C2211yescharacteristic
47#11762571C2211yescharacteristic
48#11762571C2211yescharacteristic
49#11762564C2211yescharacteristic
50#11762564C2211yescharacteristic
51C2×C4×D4×C17C2211yescharacteristic
52C2×C4×D4×C17C2211yescharacteristic
53C2×C4×D4×C17C2211yescharacteristic
54C22×C42×C17—21no—
55C4×C4⋊C4×C17C2211yescharacteristic
56C4×C4⋊C4×C17C2211yescharacteristic
57C4×C4⋊C4×C17C2211yescharacteristic
58C4×C22⋊C4×C17—21no—
59C4×C22⋊C4×C17—21no—
60C4×C22⋊C4×C17—21no—
61C43×C17C2211yescharacteristic
62C22×D4×C17C2311yescharacteristic
63C23×C4×C17—21no—
64C23×C4×C17—21no—
65C23×C4×C17—21no—
66C22×D68C2311yescharacteristic
67C22×C4×D17—21no—
68C22×Dic34C2311yescharacteristic
69C4×D4×C17—22no—
70C4×D4×C17—22no—
71C4×D4×C17—22no—
72C4×D4×C17—22no—
73C4×D4×C17C2×C414yescomplemented
74C4×D4×C17D414yes—
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×C42×C17—21no—
82C2×C42×C17—21no—
83C2×C42×C17—21no—
84C2×C42×C17—44no—
85C2×C42×C17D411yescharacteristic
86C2×C42×C17D411yescharacteristic
87C2×C42×C17D411yescharacteristic
88C2×C42×C17D411yescharacteristic
89C2×C42×C17C2311yescharacteristic
90C2×C42×C17C2311yescharacteristic
91C2×C42×C17C2311yescharacteristic
92C2×#63229—22no—
93C2×#63229—22no—
94C2×#63229C2×C414yescomplemented
95C2×#63228—22no—
96C2×#63228—22no—
97C2×#63228C2×C414yes—
98C2×#63227—21no—
99C2×#63227—21no—
100C2×#63227—21no—
101C2×#63227—21no—
102C2×#63227—21no—
103C2×C4⋊Dic17C2311yescharacteristic
104C2×C4⋊Dic17C2311yescharacteristic
105C2×#63225—21no—
106C2×C4×Dic17—21no—
107C22×#3622C2311yescharacteristic
108C22×#3622C2311yescharacteristic
109C22×#3622C2311yescharacteristic
110C22×#3622C2311yescharacteristic
111#10587561—22no—
112#10587561C2×C414yescomplemented
113C4×D68—22no—
114C4×D68—22no—
115C4×Dic34—22no—
116C4×Dic34—22no—
117C17×#95—21no—
118C17×#95—21no—
119C17×#95—21no—
120#10587503—22no—
121#10587503—22no—
122#10587502—21no—
123#10587502—21no—
124#10587502—21no—
125#10587502—21no—
126#10587481—22no—
127#10587481—22no—
128#10587481C2×C414yescomplemented
129#10587480—22no—
130#10587480—22no—
131#10587480C2×C414yescomplemented
132#10587479—22no—
133#10587478—22no—
134C4⋊#3622—22no—
135C4⋊#3622C2×C414yescomplemented
136C4×#3622—22no—
137C4×#3622—22no—
138C24×C17—21no—
139C23×D17—21no—
140C2×D4×C17—21no—
141C2×D4×C17—21no—
142C2×D4×C17—21no—
143C2×D4×C17C22×C412yes—
144C2×D4×C17C2×D412yes—
145C2×D4×C17#4112yes—
146C22×C4×C17—24no—
147C22×C4×C17—21no—
148C22×C4×C17—21no—
149C22×C4×C17—21no—
150C22×C4×C17—24no—
151C22×C4×C17—24no—
152C22×C4×C17—42no—
153C22×C4×C17—42no—
154C22×C4×C17—42no—
155C22×C4×C17—42no—
156C22×C4×C17—42no—
157C22×C4×C17—42no—
158C22×C4×C17C2×D411yescharacteristic
159C22×C4×C17C2×D411yescharacteristic
160C22×C4×C17C2×D411yescharacteristic
161C22×C4×C17C2×D411yescharacteristic
162C22×C4×C17C2×D411yescharacteristic
163C22×C4×C17C2×D411yescharacteristic
164C22×C4×C17C2411yescharacteristic
165C22×Dic17—21no—
166C22×Dic17—21no—
167C22×Dic17—21no—
168C2×D68—21no—
169C2×D68—21no—
170C2×D68—21no—
171C2×D68—21no—
172C2×D68—21no—
173C2×D68C22×C412yes—
174C2×C4×D17—42no—
175C2×C4×D17—42no—
176C2×C4×D17—42no—
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×C17C22×C412yes—
187C4⋊C4×C17C2×D412yes—
188C4⋊C4×C17#4112yes—
189C22⋊C4×C17—24no—
190C22⋊C4×C17—24no—
191C22⋊C4×C17—24no—
192C42×C17—22no—
193C42×C17—22no—
194C42×C17—22no—
195C42×C17—21no—
196C42×C17—21no—
197C42×C17—41no—
198C42×C17—42no—
199C42×C17—42no—
200C42×C17—42no—
201C42×C17C22×C412yes—
202C42×C17C2×D412yes—
203C42×C17#4112yes—
204C42×C17#4112yes—
205#63229—28no—
206#63228—28no—
207#63227—24no—
208#63227—24no—
209#63227—42no—
210#63227—42no—
211#63227—42no—
212C4⋊Dic17—21no—
213C4⋊Dic17—21no—
214C4⋊Dic17—21no—
215C4⋊Dic17—21no—
216#63225—42no—
217C4×Dic17—42no—
218C2×#3622—21no—
219C2×#3622—21no—
220C2×#3622—21no—
221C2×#3622—21no—
222C2×#3622—21no—
223C2×#3622—21no—
224C2×#3622—21no—
225C2×#3622—21no—
226C2×#3622—21no—
227C2×#3622—21no—
228C2×#3622C22×C412yes—
229C2×#3622C22×C412yes—
230C4×#463—171nomaximal, Sylow
231C23×C17—22no—
232C23×C17—22no—
233C23×C17—22no—
234C23×C17—41no—
235C23×C17—41no—
236C23×C17—41no—
237C23×C17—41no—
238C23×C17C22×D411yescharacteristic
239C22×D17—22no—
240C22×D17—41no—
241C22×D17—41no—
242C22×D17—41no—
243C22×D17—41no—
244C22×D17—41no—
245C22×D17—41no—
246D4×C17—22no—
247D4×C17—22no—
248D4×C17—22no—
249D4×C17C4×D414yes—
250C2×C4×C17—21no—
251C2×C4×C17—21no—
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—22no—
259C2×C4×C17—22no—
260C2×C4×C17—21no—
261C2×C4×C17—22no—
262C2×C4×C17—21no—
263C2×C4×C17—21no—
264C2×C4×C17—48no—
265C2×C4×C17—48no—
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—48no—
273C2×C4×C17C4×D412yes—
274C2×C4×C17C4×D412yes—
275C2×C4×C17#12112yes—
276C2×C4×C17#12112yes—
277C2×C4×C17#13512yes—
278C2×C4×C17#13512yes—
279C2×C4×C17AGL(1,ℤ/8)12yes—
280C2×C4×C17C23×C411yescharacteristic
281C2×C4×C17C22×D411yescharacteristic
282C2×C4×C17C2×#4111yescharacteristic
283C2×C4×C17C2×#4111yescharacteristic
284C2×C4×C17C2×#4111yescharacteristic
285C2×C4×C17C2×#4111yescharacteristic
286C2×Dic17—22no—
287C2×Dic17—41no—
288C2×Dic17—41no—
289C2×Dic17—41no—
290C2×Dic17—41no—
291C2×Dic17—41no—
292C2×Dic17—41no—
293C2×Dic17—41no—
294C2×Dic17—41no—
295D68—22no—
296D68—22no—
297D68—41no—
298D68—41no—
299C4×D17—84no—
300Dic34—22no—
301Dic34—22no—
302Dic34—41no—
303Dic34—41no—
304#3622—22no—
305#3622—22no—
306#3622—41no—
307#3622—41no—
308C2×#463—171no—
309C2×C4×SD16—171no—
310C2×C4×D8—171no—
311C4×#124—171no—
312C42×D4D1711yescharacteristic, complemented
313#1983—171no—
314#1949—171no—
315#1928—171no—
316#1926—171no—
317#1879—171no—
318#1877—171no—
319#1804—171no—
320C4×C4⋊C8—171no—
321C4×#103—171no—
322C4×#102—171no—
323C22×C17—24no—
324C22×C17—42no—
325C22×C17—42no—
326C22×C17—42no—
327C22×C17—42no—
328C22×C17—42no—
329C22×C17—42no—
330C22×C17C2×C4×D411yescharacteristic
331C22×C17C2×#12111yescharacteristic
332C22×C17#52511yescharacteristic
333C22×C17C2×#13511yescharacteristic
334C22×C17C2×#13511yescharacteristic
335C22×C17C2×AGL(1,ℤ/8)11yescharacteristic
336C22×C17#57511yescharacteristic
337C2×D17—42no—
338C2×D17—42no—
339C2×D17—42no—
340C2×D17—81no—
341C2×D17—81no—
342C2×D17—81no—
343C2×D17—81no—
344C4×C17—22no—
345C4×C17—22no—
346C4×C17—22no—
347C4×C17—22no—
348C4×C17—41no—
349C4×C17—42no—
350C4×C17—42no—
351C4×C17—42no—
352C4×C17#46314yescomplemented
353C4×C17C2×C4×D411yescharacteristic
354C4×C17C4×#4111yescharacteristic
355C4×C17#52911yescharacteristic
356C4×C17#53211yescharacteristic
357Dic17—42no—
358Dic17—81no—
359Dic17—81no—
360C22×SD16—171no—
361C22×D8—171no—
362C2×#124—171no—
363C2×C4×Q8—171no—
364C2×C4×D4—171no—
365C2×C4×D4C2×D1711yescharacteristic
366C2×C4×D4C2×D1711yescharacteristic
367C2×C4×D4C2×D1711yescharacteristic
368C22×C42—21no—
369#463—178no—
370C4×SD16—344no—
371C4×D8—344no—
372C2×#107—171no—
373C2×#106—171no—
374C2×C4⋊C8—171no—
375C2×C4⋊C8—171no—
376C2×#103—171no—
377C2×#103—171no—
378C2×#103—171no—
379C2×#102—171no—
380C2×#102—171no—
381C2×#102—171no—
382C2×#102—171no—
383C2×#102—171no—
384C2×C4×C8—171no—
385C2×C4×C8—171no—
386#391—171no—
387#390—171no—
388#388—341no—
389#388—341no—
390#382—171no—
391C4×C4⋊C4C2×D1711yescharacteristic
392C4×C4⋊C4C2×D1711yescharacteristic
393C4×C4⋊C4C2×D1711yescharacteristic
394C4×C22⋊C4—21no—
395C4×C22⋊C4—21no—
396C4×C22⋊C4—21no—
397C4×C22⋊C4—341no—
398C4×C22⋊C4—341no—
399C43C2×D1711yescharacteristic
400#340—171no—
401#340—171no—
402#340—171no—
403#340—171no—
404#336—171no—
405#336—171no—
406C2×C17—44no—
407C2×C17C4×#12111yescharacteristic
408C2×C17C4×#13511yescharacteristic
409C2×C17C4×AGL(1,ℤ/8)11yescharacteristic
410C2×C17C2×#46311yescharacteristic
411C2×C17#303511yescharacteristic
412C2×C17#310211yescharacteristic
413C2×C17#310511yescharacteristic
414D17—82no—
415C22×Q8—171no—
416C22×D4—171no—
417C22×D4C22×D1711yescharacteristic
418C23×C4—21no—
419C23×C4—21no—
420C23×C4—21no—
421C23×C4—341no—
422C2×SD16—174no—
423C2×SD16—342no—
424C2×SD16—342no—
425C2×D8—174no—
426C2×D8—342no—
427C2×D8—342no—
428C22×C8—171no—
429C22×C8—171no—
430C22×C8—171no—
431C22×C8—171no—
432#124—174no—
433#124—342no—
434C4×Q8—342no—
435C4×Q8—342no—
436C4×D4—22no—
437C4×D4—22no—
438C4×D4—22no—
439C4×D4—22no—
440C4×D4—342no—
441C4×D4—342no—
442C4×D4C4×D1714yescomplemented
443C4×D4D6814yes—
444C2×C4⋊C4—171no—
445C2×C4⋊C4—171no—
446C2×C4⋊C4—341no—
447C2×C4⋊C4C22×D1711yescharacteristic
448C2×C4⋊C4C22×D1711yescharacteristic
449C2×C4⋊C4C22×D1711yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—341no—
454C2×C22⋊C4—341no—
455C2×C22⋊C4—341no—
456C2×C22⋊C4—341no—
457C2×C22⋊C4—341no—
458C2×C42—21no—
459C2×C42—21no—
460C2×C42—21no—
461C2×C42—44no—
462C2×C42—341no—
463C2×C42C22⋊D1711yescharacteristic
464C2×C42C22⋊D1711yescharacteristic
465C2×C42C22⋊D1711yescharacteristic
466C2×C42C22⋊D1711yescharacteristic
467C2×C42C22×D1711yescharacteristic
468C2×C42C22×D1711yescharacteristic
469C2×C42C22×D1711yescharacteristic
470#107—342no—
471#106—342no—
472C4⋊C8—174no—
473C4⋊C8—342no—
474#103—174no—
475#103—342no—
476#103—342no—
477#102—174no—
478#102—342no—
479#102—342no—
480#102—342no—
481#102—342no—
482C4×C8—342no—
483C4×C8—342no—
484#95—21no—
485#95—21no—
486#95—21no—
487#95—341no—
488#95—341no—
489#95—341no—
490#95—341no—
491C17C4×#46311yescharacteristic, complemented, Sylow
492C24—21no—
493C24—341no—
494C2×Q8—172no—
495C2×Q8—341no—
496C2×Q8—341no—
497C2×Q8—341no—
498C2×Q8—341no—
499C2×Q8—341no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—172no—
504C2×D4—341no—
505C2×D4—341no—
506C2×D4—341no—
507C2×D4—341no—
508C2×D4—341no—
509C2×D4C2×C4×D1712yes—
510C2×D4C2×D6812yes—
511C2×D4#6325212yes—
512C22×C4—24no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—341no—
525C22×C4—341no—
526C22×C4—341no—
527C22×C4—682no—
528C22×C4—682no—
529C22×C4—682no—
530C22×C4C2×C22⋊D1711yescharacteristic
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—
538D8—348no—
539C2×C8—172no—
540C2×C8—172no—
541C2×C8—341no—
542C2×C8—341no—
543C2×C8—341no—
544C2×C8—341no—
545C2×C8—341no—
546C2×C8—341no—
547C2×C8—341no—
548C2×C8—341no—
549C2×C8—341no—
550C2×C8—341no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—341no—
555C4⋊C4—341no—
556C4⋊C4—341no—
557C4⋊C4—341no—
558C4⋊C4—682no—
559C4⋊C4C2×C4×D1712yes—
560C4⋊C4C2×D6812yes—
561C4⋊C4#6325212yes—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—24no—
565C22⋊C4—344no—
566C22⋊C4—344no—
567C22⋊C4—682no—
568C22⋊C4—682no—
569C22⋊C4—682no—
570C42—21no—
571C42—21no—
572C42—22no—
573C42—22no—
574C42—22no—
575C42—41no—
576C42—42no—
577C42—42no—
578C42—42no—
579C42—682no—
580C42C2×C4×D1712yes—
581C42C2×D6812yes—
582C42#6325212yes—
583C42#6325212yes—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—342no—
592C23—681no—
593C23—681no—
594C23—681no—
595C23—681no—
596C23—681no—
597C23—681no—
598C23C22×C22⋊D1711yescharacteristic
599Q8—342no—
600Q8—342no—
601Q8—681no—
602Q8—681no—
603D4—22no—
604D4—22no—
605D4—22no—
606D4—342no—
607D4—342no—
608D4—681no—
609D4—681no—
610D4C4×D6814yes—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—48no—
626C2×C4—48no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—48no—
634C2×C4—342no—
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—1364no—
644C2×C4C4×C22⋊D1712yes—
645C2×C4C4×C22⋊D1712yes—
646C2×C4#1058761612yes—
647C2×C4#1058761612yes—
648C2×C4#1058761812yes—
649C2×C4#1058763612yes—
650C2×C4#1058763612yes—
651C2×C4C22×C4×D1711yescharacteristic
652C2×C4C22×D6811yescharacteristic
653C2×C4C2×#6325211yescharacteristic
654C2×C4C2×#6325211yescharacteristic
655C2×C4C2×#6325211yescharacteristic
656C2×C4C2×#6325211yescharacteristic
657C8—342no—
658C8—342no—
659C8—681no—
660C8—681no—
661C22—24no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—682no—
669C22—682no—
670C22—682no—
671C22—1361no—
672C22—1361no—
673C22—1361no—
674C22—1361no—
675C22C2×C4×C22⋊D1711yescharacteristic
676C22C2×#1058761611yescharacteristic
677C22#1176332011yescharacteristic
678C22C2×#1058763611yescharacteristic
679C22C2×#1058763611yescharacteristic
680C22C2×#1058761811yescharacteristic
681C22#1176360711yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—22no—
686C4—41no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—682no—
691C4—1361no—
692C4—1361no—
693C4#1176302414yesdirect product factor
694C4C2×C4×D6811yescharacteristic
695C4C4×#6325211yescharacteristic
696C4#1176334311yescharacteristic
697C4#1176335911yescharacteristic
698C2—44no—
699C2—1362no—
700C2C4×#1058761611yescharacteristic
701C2C4×#1058763611yescharacteristic
702C2C4×#1058761811yescharacteristic
703C2C2×#1176302411yescharacteristic
704C2#1453823911yescharacteristic
705C2#1453880211yescharacteristic
706C2#1453883111yescharacteristic
subgroupG/H
centerC22×C4C2×C22⋊D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC42×D4×C17C2
socleC23×C17C22×D4
prime radicalC22×#63228C22
cosocleC22×C4×C17C24
hypercenterC42×D4D17
hypocenterC17C4×#463
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ C43 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
2. C2×C4×#63229C2semidirect
4. C4×#10587561C2semidirect
5. #14529716C2semidirect
6. #14529552C2semidirect
7. #14529425C2semidirect
8. #14529411C2semidirect
10. #14529118C2semidirect
11. #14528794C2semidirect
12. C4×C4⋊#3622C2semidirect
13. C4×#10587481C2semidirect
14. C4×#10587480C2semidirect
15. C42×D4×C17C2semidirect
21. #11763024C4direct (N × H)
73. C4×D4×C17C2×C4semidirect
94. C2×#63229C2×C4semidirect
112. #10587561C2×C4semidirect
128. #10587481C2×C4semidirect
131. #10587480C2×C4semidirect
135. C4⋊#3622C2×C4semidirect
312. C42×D4D17semidirect
352. C4×C17#463semidirect
442. C4×D4C4×D17semidirect
491. C17C4×#463semidirect
693. C4#11763024direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117630242
C2×C4×#632292
C2×C4×#632282
C4×#105875612
#145297162
#145295522
#145294252
#145294112
#145291322
#145291182
#145287942
C4×C4⋊#36222
C4×#105874812
C4×#105874802
C42×D4×C172
C4×#46317