Finite Group Databasebeta

← #17899297

Subgroups — #17899297

Order 4352.

1974 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×Dic34C211yesmaximal, characteristic
2#14537874C214yesmaximal, complemented
3#14537871C214yesmaximal, complemented
4#14537868C214yesmaximal, complemented
5#14537867C212yesmaximal, complemented
6#14537864C212yesmaximal, complemented
7M16×Dic34C214yesmaximal, complemented
8#14537735C214yesmaximal, complemented
9#14537417C211yesmaximal, characteristic
10#14537413C214yesmaximal
11C17×#2920C211yesmaximal, characteristic
12C23×Dic34C411yescharacteristic
13C2×C4×Dic34C411yescharacteristic
14C2×C4×Dic34C412yes—
15C2×C4×Dic34C412yes—
16C2×C4×Dic34C412yes—
17C2×C4×Dic34C412yes—
18C2×C4×Dic34C412yes—
19C2×C4×Dic34C411yescharacteristic
20C2×C4×Dic34C2212yes—
21C2×C4×Dic34C2212yes—
22C2×C4×Dic34C2211yescharacteristic
23C2×C4×Dic34C2211yescharacteristic
24C2×C4×Dic34C2212yes—
25C2×C4×Dic34C2212yes—
26C2×C4×Dic34C2212yes—
27C22×C4⋊Dic17C411yescharacteristic
28C22×#63225C412yes—
29C22×C4×Dic17C2212yes—
30#11762939C2218yescomplemented
31#11762938C22116yescomplemented
32#11762937C22116yescomplemented
33#11762936C2218yescomplemented
34C8×Dic34C2218yescomplemented
35#11762933C2218yescomplemented
36#11762866C2212yes—
37#11762866C2212yes—
38#11762863C2218yes—
39#11762863C2218yes—
40#11762862C2212yes—
41#11762862C2212yes—
42#11762859C2218yes—
43#11762859C2218yes—
44#11762833C2212yes—
45#11762832C2218yes—
46#11762773C2212yes—
47C4×#63223C2212yes—
48M16×Dic17C2218yes—
49C22×C42×C17C2211yescharacteristic
50C17×#432C2212yes—
51C17×#432C2212yes—
52C17×#431C2212yes—
53C17×#431C2212yes—
54C17×#423C2212yes—
55C17×#407C2212yes—
56C4×M16×C17C2212yes—
57C23×C4×C17C2×C411yescharacteristic
58C23×C4×C17C2×C411yescharacteristic
59C23×C4×C17C2311yescharacteristic
60C23×Dic17C2×C412yes—
61C23×Dic17C2×C412yes—
62C22×Dic34—28no—
63C22×Dic34C2×C411yescharacteristic
64C22×Dic34C2×C412yes—
65C22×Dic34C2×C412yes—
66C22×Dic34C2×C412yes—
67C22×Dic34C2×C412yes—
68C22×Dic34C2×C412yes—
69C22×Dic34C2×C411yescharacteristic
70C2×M16×C17C2314yes—
71C2×C42×C17C2×C411yescharacteristic
72C2×C42×C17C2×C411yescharacteristic
73C2×C42×C17C2×C411yescharacteristic
74C2×C42×C17C2×C411yescharacteristic
75C2×C42×C17C2×C411yescharacteristic
76C2×C42×C17C2×C411yescharacteristic
77C2×C42×C17C2311yescharacteristic
78C2×C42×C17C2311yescharacteristic
79C2×C42×C17C2311yescharacteristic
80C2×C42×C17C2311yescharacteristic
81C2×C42×C17C2311yescharacteristic
82C2×C42×C17C2311yescharacteristic
83C2×C4⋊Dic17C2×C412yes—
84C2×C4⋊Dic17C2×C412yes—
85C2×C4⋊Dic17C2×C412yes—
86C2×C4⋊Dic17C2×C412yes—
87C2×C4⋊Dic17C2×C412yes—
88C2×C4⋊Dic17C2×C411yescharacteristic
89C2×C4⋊Dic17C2×C411yescharacteristic
90C2×#63225C2×C414yes—
91C2×#63225C2×C414yes—
92C2×#63225C2×C414yes—
93C2×#63225C2×C414yes—
94C2×#63225C2×C412yes—
95C2×#63225C2×C412yes—
96C2×#63225C2×C412yes—
97C2×#63225C2×C412yes—
98C2×C4×Dic17C2×C414yes—
99C2×C4×Dic17C2×C412yes—
100C2×C4×Dic17C2×C414yes—
101C2×C4×Dic17C2×C412yes—
102C2×C4×Dic17C2314yes—
103C2×C4×Dic17C2312yes—
104C2×C4×Dic17C2314yes—
105C2×C4×Dic17C2312yes—
106C2×#63223C2314yes—
107C4×Dic34C2×C414yes—
108C4×Dic34C2×C412yes—
109C4×Dic34C2×C414yes—
110C4×Dic34C2×C412yes—
111C4×Dic34C2×C412yes—
112C4×Dic34C2×C412yes—
113C4×Dic34C2×C414yes—
114C4×Dic34C2×C414yes—
115C4×Dic34C2×C414yes—
116C4×Dic34C2×C412yes—
117C4×Dic34C2×C414yes—
118C4×Dic34C2×C412yes—
119C4×Dic34C2×C412yes—
120C4×Dic34C2×C412yes—
121C4×Dic34C2×C412yes—
122C4×Dic34C2×C412yes—
123C4×Dic34C2×C412yes—
124C4×Dic34C2×C412yes—
125C4×Dic34C2312yes—
126C4×Dic34C2312yes—
127C4×Dic34C2312yes—
128C4×Dic34C2314yes—
129C4×Dic34C2314yes—
130C4×Dic34C2312yes—
131C17×C4⋊C8C2314yes—
132C17×C4⋊C8C2314yes—
133C17×C22⋊C8C2314yes—
134C17×C22⋊C8C2314yes—
135C17×#97C2314yes—
136C4×C8×C17C2314yes—
137C22⋊#3622C2314yes—
138C22⋊#3622C2314yes—
139#10587486C23116yes—
140#10587485C23116yes—
141#10587485C23116yes—
142C8×Dic17C23116yes—
143C4⋊#3622C2314yes—
144C4⋊#3622C2314yes—
145#10587474C2314yes—
146C4×#3622C2314yes—
147C24×C17C22×C411yescharacteristic
148C22×C4×C17—24no—
149C22×C4×C17—24no—
150C22×C4×C17—42no—
151C22×C4×C17C22×C411yescharacteristic
152C22×C4×C17C22×C411yescharacteristic
153C22×C4×C17C22×C411yescharacteristic
154C22×C4×C17C22×C411yescharacteristic
155C22×C4×C17C22×C411yescharacteristic
156C22×C4×C17C22×C411yescharacteristic
157C22×C4×C17C22×C411yescharacteristic
158C22×C4×C17C22×C411yescharacteristic
159C22×C4×C17C22×C411yescharacteristic
160C22×C4×C17C22×C411yescharacteristic
161C22×C4×C17C22×C411yescharacteristic
162C22×C4×C17C22×C411yescharacteristic
163C22×C4×C17C22×C411yescharacteristic
164C22×C4×C17C22×C411yescharacteristic
165C22×C4×C17C22×C411yescharacteristic
166C22×C4×C17C2411yescharacteristic
167C22×C4×C17C2411yescharacteristic
168C22×C4×C17C2411yescharacteristic
169C22×Dic17—28no—
170C22×Dic17—44no—
171C22×Dic17C22×C412yes—
172C22×Dic17C22×C414yes—
173C22×Dic17C22×C414yes—
174C22×Dic17C22×C414yes—
175C22×Dic17C22×C414yes—
176C22×Dic17C22×C412yes—
177C22×Dic17C22×C412yes—
178C22×Dic17C22×C412yes—
179C2×Dic34—24no—
180C2×Dic34—28no—
181C2×Dic34—28no—
182C2×Dic34—28no—
183C2×Dic34—28no—
184C2×Dic34—28no—
185C2×Dic34M1618yescomplemented
186C2×Dic34C22×C412yes—
187C2×Dic34C22×C412yes—
188C2×Dic34C22×C414yes—
189C2×Dic34C22×C414yes—
190C2×Dic34C22×C412yes—
191C2×Dic34C22×C412yes—
192M16×C17—28no—
193C2×C8×C17C2418yes—
194C42×C17C22×C411yescharacteristic
195C42×C17C22×C411yescharacteristic
196C42×C17C22×C411yescharacteristic
197C42×C17C22×C411yescharacteristic
198C42×C17C22×C411yescharacteristic
199C42×C17C22×C411yescharacteristic
200C42×C17C22×C411yescharacteristic
201C42×C17C22×C411yescharacteristic
202C42×C17C22×C411yescharacteristic
203C42×C17C22×C411yescharacteristic
204C42×C17C22×C411yescharacteristic
205C42×C17C22×C411yescharacteristic
206C42×C17C2411yescharacteristic
207C42×C17C2411yescharacteristic
208C42×C17C2411yescharacteristic
209C42×C17C2411yescharacteristic
210C4⋊Dic17C22×C414yes—
211C4⋊Dic17C22×C414yes—
212C4⋊Dic17C22×C412yes—
213C4⋊Dic17C22×C412yes—
214C4⋊Dic17C22×C412yes—
215C4⋊Dic17C22×C412yes—
216#63225C22×C414yes—
217#63225C22×C414yes—
218#63225C22×C414yes—
219#63225C22×C414yes—
220#63225C22×C414yes—
221#63225C22×C414yes—
222#63225C22×C414yes—
223#63225C22×C414yes—
224C4×Dic17C22×C414yes—
225C4×Dic17C22×C414yes—
226C4×Dic17C22×C414yes—
227C4×Dic17C22×C414yes—
228C4×Dic17C22×C414yes—
229C4×Dic17C22×C414yes—
230C4×Dic17C2414yes—
231C4×Dic17C2414yes—
232#63223—28no—
233C2×#3622C2418yes—
234#60248—171nomaximal, Sylow
235C23×C17—22no—
236C23×C17—22no—
237C23×C17—22no—
238C23×C17C23×C411yescharacteristic
239C23×C17C23×C411yescharacteristic
240C23×C17C23×C411yescharacteristic
241C2×C4×C17—22no—
242C2×C4×C17—22no—
243C2×C4×C17—22no—
244C2×C4×C17—22no—
245C2×C4×C17—22no—
246C2×C4×C17—22no—
247C2×C4×C17—22no—
248C2×C4×C17—22no—
249C2×C4×C17—22no—
250C2×C4×C17—22no—
251C2×C4×C17—22no—
252C2×C4×C17—22no—
253C2×C4×C17—41no—
254C2×C4×C17—41no—
255C2×C4×C17—41no—
256C2×C4×C17—41no—
257C2×C4×C17C2×M1614yes—
258C2×C4×C17C23×C411yescharacteristic
259C2×C4×C17C23×C411yescharacteristic
260C2×C4×C17C23×C411yescharacteristic
261C2×C4×C17C23×C411yescharacteristic
262C2×C4×C17C23×C411yescharacteristic
263C2×C4×C17C23×C411yescharacteristic
264C2×C4×C17C23×C411yescharacteristic
265C2×C4×C17C23×C411yescharacteristic
266C2×C4×C17C23×C411yescharacteristic
267C2×C4×C17C23×C411yescharacteristic
268C2×C4×C17C23×C411yescharacteristic
269C2×C4×C172−1+414yes—
270C2×C4×C17C2511yescharacteristic
271C2×Dic17—24no—
272C2×Dic17—28no—
273C2×Dic17—28no—
274C2×Dic17—28no—
275C2×Dic17—44no—
276C2×Dic17—42no—
277C2×Dic17—42no—
278C2×Dic17C2×M1618yes—
279C2×Dic17C23×C414yes—
280C2×Dic17C23×C414yes—
281C2×Dic17C23×C414yes—
282C2×Dic17C23×C414yes—
283Dic34—24no—
284Dic34—24no—
285Dic34—28no—
286Dic34—28no—
287Dic34C2×M1618yes—
288Dic34C2×M1618yes—
289C8×C17—28no—
290#3622—28no—
291C22×C4×Q8—171no—
292#2984—174no—
293#2984—174no—
294#2983—174no—
295#2983—172no—
296#2982—172no—
297Q8×M16—174no—
298Q8×M16—174no—
299#2920—171no—
300#2920—174no—
301#2920D1711yescharacteristic
302C22×C17—28no—
303C22×C17—21no—
304C22×C17—21no—
305C22×C17—21no—
306C22×C17—21no—
307C22×C17—21no—
308C22×C17—21no—
309C22×C17#51912yes—
310C22×C17C22×M1612yes—
311C22×C17#56812yes—
312C22×C17C24×C411yescharacteristic
313C4×C17—21no—
314C4×C17—21no—
315C4×C17—21no—
316C4×C17—21no—
317C4×C17—21no—
318C4×C17—21no—
319C4×C17—21no—
320C4×C17—21no—
321C4×C17#51912yes—
322C4×C17C22×M1612yes—
323C4×C17C22×M1612yes—
324C4×C17C2×2−1+412yes—
325Dic17—24no—
326Dic17—24no—
327Dic17—24no—
328Dic17C22×M1618yes—
329C23×Q8—171no—
330C2×C4×Q8—171no—
331C2×C4×Q8—172no—
332C2×C4×Q8—172no—
333C2×C4×Q8—172no—
334C2×C4×Q8—172no—
335C2×C4×Q8—172no—
336C2×C4×Q8—171no—
337C2×C4×Q8—172no—
338C2×C4×Q8—172no—
339C2×C4×Q8—171no—
340C2×C4×Q8—172no—
341C2×C4×Q8—171no—
342C2×C4×Q8—172no—
343C2×C4×Q8—172no—
344C22×C4⋊C4—172no—
345C22×C4⋊C4—171no—
346C22×C42—172no—
347C22×C42C2×D1711yescharacteristic
348#446—178no—
349#446—1716no—
350#446—1716no—
351#446—178no—
352C8×Q8—178no—
353C8×Q8—178no—
354#432—172no—
355#432—172no—
356#432—178no—
357#432—178no—
358#432C2×D1712yes—
359#432C2×D1712yes—
360#431—172no—
361#431—172no—
362#431—178no—
363#431—178no—
364#431C2×D1712yes—
365#431C2×D1712yes—
366#423—178no—
367#423—172no—
368#423C2×D1712yes—
369#407—172no—
370#407C2×D1712yes—
371C4×M16—178no—
372C4×M16—172no—
373C4×M16C2×D1712yes—
374C2×C17—22no—
375C2×C17—22no—
376C2×C17—22no—
377C2×C17C2×#51911yescharacteristic
378C2×C17C23×M1611yescharacteristic
379C2×C17C2×#56811yescharacteristic
380C22×Q8—171no—
381C22×Q8—172no—
382C22×Q8—172no—
383C22×Q8—172no—
384C22×Q8—172no—
385C22×Q8—172no—
386C22×Q8—171no—
387C22×Q8—348no—
388C23×C4—172no—
389C23×C4—172no—
390C23×C4C4×D1711yescharacteristic
391C23×C4C4×D1711yescharacteristic
392C23×C4C22×D1711yescharacteristic
393C2×M16—174no—
394C2×M16C22×D1714yes—
395C4×Q8—172no—
396C4×Q8—172no—
397C4×Q8—172no—
398C4×Q8—172no—
399C4×Q8—172no—
400C4×Q8—172no—
401C4×Q8—174no—
402C4×Q8—174no—
403C4×Q8—172no—
404C4×Q8—172no—
405C4×Q8—174no—
406C4×Q8—174no—
407C4×Q8—172no—
408C4×Q8—172no—
409C4×Q8—174no—
410C4×Q8—174no—
411C4×Q8—172no—
412C4×Q8—172no—
413C4×Q8—172no—
414C4×Q8—172no—
415C4×Q8—174no—
416C4×Q8—174no—
417C4×Q8—172no—
418C4×Q8—172no—
419C2×C4⋊C4—172no—
420C2×C4⋊C4—172no—
421C2×C4⋊C4—174no—
422C2×C4⋊C4—174no—
423C2×C4⋊C4—174no—
424C2×C4⋊C4—174no—
425C2×C4⋊C4—172no—
426C2×C4⋊C4—172no—
427C2×C4⋊C4—172no—
428C2×C4⋊C4—172no—
429C2×C4⋊C4—172no—
430C2×C4⋊C4—172no—
431C2×C4⋊C4—172no—
432C2×C4⋊C4—171no—
433C2×C4⋊C4—171no—
434C2×C42—172no—
435C2×C42—174no—
436C2×C42—174no—
437C2×C42—172no—
438C2×C42—174no—
439C2×C42—172no—
440C2×C42—174no—
441C2×C42—172no—
442C2×C42C4×D1711yescharacteristic
443C2×C42C4×D1711yescharacteristic
444C2×C42C4×D1711yescharacteristic
445C2×C42C4×D1711yescharacteristic
446C2×C42C4×D1711yescharacteristic
447C2×C42C4×D1711yescharacteristic
448C2×C42C22×D1711yescharacteristic
449C2×C42C22×D1711yescharacteristic
450C2×C42C22×D1711yescharacteristic
451C2×C42C22×D1711yescharacteristic
452C2×C42C22×D1711yescharacteristic
453C2×C42C22×D1711yescharacteristic
454C4⋊C8—1716no—
455C4⋊C8—1716no—
456C4⋊C8—174no—
457C4⋊C8—174no—
458C4⋊C8C22×D1714yes—
459C4⋊C8C22×D1714yes—
460C22⋊C8—174no—
461C22⋊C8—174no—
462C22⋊C8C22×D1714yes—
463C22⋊C8C22×D1714yes—
464#97—1716no—
465#97—174no—
466#97C22×D1714yes—
467C4×C8—1716no—
468C4×C8—174no—
469C4×C8C22×D1714yes—
470C17#6024811yescharacteristic, complemented, Sylow
471C24C2×C4×D1711yescharacteristic
472C2×Q8—172no—
473C2×Q8—172no—
474C2×Q8—174no—
475C2×Q8—174no—
476C2×Q8—172no—
477C2×Q8—172no—
478C2×Q8—178no—
479C2×Q8—348no—
480C2×Q8—348no—
481C2×Q8—348no—
482C2×Q8—348no—
483C2×Q8—348no—
484C2×Q8—344no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—42no—
488C22×C4—172no—
489C22×C4—174no—
490C22×C4—174no—
491C22×C4—174no—
492C22×C4—172no—
493C22×C4—174no—
494C22×C4—172no—
495C22×C4—172no—
496C22×C4—348no—
497C22×C4—684no—
498C22×C4C2×C4×D1711yescharacteristic
499C22×C4C2×C4×D1711yescharacteristic
500C22×C4C2×C4×D1711yescharacteristic
501C22×C4C2×C4×D1711yescharacteristic
502C22×C4C2×C4×D1711yescharacteristic
503C22×C4C2×C4×D1711yescharacteristic
504C22×C4C2×C4×D1711yescharacteristic
505C22×C4C2×C4×D1711yescharacteristic
506C22×C4C2×C4×D1711yescharacteristic
507C22×C4C2×C4×D1711yescharacteristic
508C22×C4C2×C4×D1711yescharacteristic
509C22×C4C2×C4×D1711yescharacteristic
510C22×C4C2×C4×D1711yescharacteristic
511C22×C4C2×C4×D1711yescharacteristic
512C22×C4C2×C4×D1711yescharacteristic
513C22×C4C23×D1711yescharacteristic
514C22×C4C23×D1711yescharacteristic
515C22×C4C23×D1711yescharacteristic
516M16—28no—
517M16—348no—
518C2×C8—178no—
519C2×C8C23×D1718yes—
520C4⋊C4—174no—
521C4⋊C4—174no—
522C4⋊C4—174no—
523C4⋊C4—174no—
524C4⋊C4—174no—
525C4⋊C4—174no—
526C4⋊C4—174no—
527C4⋊C4—174no—
528C4⋊C4—174no—
529C4⋊C4—174no—
530C4⋊C4—172no—
531C4⋊C4—172no—
532C4⋊C4—172no—
533C4⋊C4—172no—
534C42—174no—
535C42—174no—
536C42—174no—
537C42—174no—
538C42—174no—
539C42—174no—
540C42—174no—
541C42—174no—
542C42C2×C4×D1711yescharacteristic
543C42C2×C4×D1711yescharacteristic
544C42C2×C4×D1711yescharacteristic
545C42C2×C4×D1711yescharacteristic
546C42C2×C4×D1711yescharacteristic
547C42C2×C4×D1711yescharacteristic
548C42C2×C4×D1711yescharacteristic
549C42C2×C4×D1711yescharacteristic
550C42C2×C4×D1711yescharacteristic
551C42C2×C4×D1711yescharacteristic
552C42C2×C4×D1711yescharacteristic
553C42C2×C4×D1711yescharacteristic
554C42C23×D1711yescharacteristic
555C42C23×D1711yescharacteristic
556C42C23×D1711yescharacteristic
557C42C23×D1711yescharacteristic
558C23—22no—
559C23—22no—
560C23—22no—
561C23C22×C4×D1711yescharacteristic
562C23C22×C4×D1711yescharacteristic
563C23C22×C4×D1711yescharacteristic
564Q8—178no—
565Q8—178no—
566Q8—348no—
567Q8—348no—
568Q8—344no—
569Q8—344no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—178no—
587C2×C4—174no—
588C2×C4—174no—
589C2×C4—174no—
590C2×C4—174no—
591C2×C4—348no—
592C2×C4—348no—
593C2×C4—344no—
594C2×C4—348no—
595C2×C4—684no—
596C2×C4—682no—
597C2×C4—682no—
598C2×C4M16×D1714yes—
599C2×C4C22×C4×D1711yescharacteristic
600C2×C4C22×C4×D1711yescharacteristic
601C2×C4C22×C4×D1711yescharacteristic
602C2×C4C22×C4×D1711yescharacteristic
603C2×C4C22×C4×D1711yescharacteristic
604C2×C4C22×C4×D1711yescharacteristic
605C2×C4C22×C4×D1711yescharacteristic
606C2×C4C22×C4×D1711yescharacteristic
607C2×C4C22×C4×D1711yescharacteristic
608C2×C4C22×C4×D1711yescharacteristic
609C2×C4C22×C4×D1711yescharacteristic
610C2×C4#1058769714yes—
611C2×C4C24×D1711yescharacteristic
612C8—28no—
613C8—348no—
614C22—28no—
615C22—21no—
616C22—21no—
617C22—21no—
618C22—21no—
619C22—21no—
620C22—21no—
621C22#1176328612yes—
622C22C2×M16×D1712yes—
623C22#1176357512yes—
624C22C23×C4×D1711yescharacteristic
625C4—21no—
626C4—21no—
627C4—21no—
628C4—21no—
629C4—21no—
630C4—21no—
631C4—21no—
632C4—21no—
633C4—178no—
634C4—344no—
635C4—344no—
636C4—344no—
637C4#1176328612yes—
638C4C2×M16×D1712yes—
639C4C2×M16×D1712yes—
640C4C2×#1058769712yes—
641C2—22no—
642C2—22no—
643C2—22no—
644C2C2×#1176328611yescharacteristic
645C2C22×M16×D1711yescharacteristic
646C2C2×#1176357511yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D17
commutator, socleC22×C17C24×C4
FittingC17×#2920C2
prime radicalC24×C17C22×C4
cosocleC2×C4×C17C25
hypercenter#2920D17
hypocenterC17#60248
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #2920

Complements

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

NH ≅ G/Ntype
2. #14537874C2semidirect
3. #14537871C2semidirect
4. #14537868C2semidirect
5. #14537867C2semidirect
6. #14537864C2semidirect
7. M16×Dic34C2semidirect
8. #14537735C2semidirect
30. #11762939C22semidirect
31. #11762938C22semidirect
32. #11762937C22semidirect
33. #11762936C22semidirect
34. C8×Dic34C22semidirect
35. #11762933C22semidirect
185. C2×Dic34M16semidirect
470. C17#60248semidirect

Maximal subgroups

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

subgroupindex
C22×C4×Dic342
#145378742
#145378712
#145378682
#145378672
#145378642
M16×Dic342
#145377352
#145374172
#145374132
C17×#29202
#6024817