Finite Group Databasebeta

← #31015494

Subgroups — #31015494

Order 17152.

2322 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16863949C211yesmaximal, characteristic
2#22563310C212yesmaximal, complemented
3#22563304C212yesmaximal, complemented
4#22563295C212yesmaximal, complemented
5#22563290C214yesmaximal
6#22563262C212yesmaximal, complemented
7#22563209C214yesmaximal
8#22562691C211yesmaximal, characteristic
9#22562685C212yesmaximal, complemented
10#22562685C212yesmaximal, complemented
11#22562683C212yesmaximal, complemented
12C4×#14524008C212yesmaximal, complemented
13#117×Dic67C211yesmaximal, characteristic
14#117×Dic67C211yesmaximal, characteristic
15C4×#14524002C211yesmaximal, characteristic
16C2×C4×Dic67⋊C4C211yesmaximal, characteristic
17C67×#2296C211yesmaximal, characteristic
18#16863949C4116yescomplemented
19C2×#14524042C2211yescharacteristic
20C2×#14524042C2211yescharacteristic
21C2×#14524034C2211yescharacteristic
22C2×#14524034C2211yescharacteristic
23C2×#14524020C2212yes—
24C2×#14524020C2212yes—
25C2×C4×Dic134C2212yes—
26C2×C4×Dic134C2212yes—
27C2×#14524008C2214yes—
28C2×#14524002C2211yescharacteristic
29C2×#14524002C2211yescharacteristic
30C22×Dic67⋊C4C2212yes—
31C22×C4×Dic67C2211yescharacteristic
32C22×C4×Dic67C2211yescharacteristic
33#16863301C2214yes—
34#16863300C2214yes—
35#16863300C2214yes—
36#16863292C2214yes—
37#16863292C2212yes—
38#16863292C2212yes—
39#16863291C2214yes—
40#16863291C2214yes—
41#16863281C2214yes—
42#16863281C2214yes—
43#16863278C2214yes—
44#16863278C2214yes—
45#16863277C2214yes—
46#16863277C2214yes—
47#16863268C2214yes—
48C4⋊C4×Dic67C2212yes—
49C4⋊C4×Dic67C2212yes—
50C4⋊C4×Dic67C2214yes—
51C4⋊C4×Dic67C2212yes—
52C4⋊C4×Dic67C2212yes—
53C4×Dic67⋊C4C2211yescharacteristic
54C4×Dic67⋊C4C2212yes—
55C4×Dic67⋊C4C2212yes—
56C4×Dic67⋊C4C2211yescharacteristic
57C4×Dic67⋊C4C2211yescharacteristic
58C4×Dic67⋊C4C2212yes—
59C4×Dic67⋊C4C2212yes—
60C4×Dic67⋊C4C2211yescharacteristic
61C4×C4⋊Dic67C2212yes—
62C4×C4⋊Dic67C2212yes—
63#16863247C2214yes—
64#16863247C2214yes—
65C22⋊C4×Dic67C2212yes—
66C22⋊C4×Dic67C2214yes—
67C22⋊C4×Dic67C2212yes—
68C4×C22⋊Dic67C2214yes—
69#16863242C2212yes—
70#16863242C2212yes—
71#16863242C2212yes—
72C2×C67⋊#95C2212yes—
73C42×Dic67C2212yes—
74C42×Dic67C2212yes—
75C42×Dic67C2212yes—
76C2×#117×C67C2211yescharacteristic
77C2×#117×C67C2211yescharacteristic
78C22×C42×C67C2211yescharacteristic
79#389×C67C2212yes—
80#389×C67C2212yes—
81#385×C67C2214yes—
82C4×C4⋊C4×C67C2212yes—
83C4×C4⋊C4×C67C2212yes—
84C22×Dic134C2312yes—
85C22×Dic134C2312yes—
86C23×Dic67C2312yes—
87C23×Dic67C2311yescharacteristic
88C23×Dic67C2311yescharacteristic
89#14524042C2×C418yescomplemented
90#14524042C2×C418yescomplemented
91#14524034C2×C418yescomplemented
92#14524034C2×C418yescomplemented
93#14524020C2×C4116yes—
94#14524020C2×C4116yes—
95C4×Dic134C2×C4116yescomplemented
96C4×Dic134C2×C4116yescomplemented
97#14524008—216no—
98#14524002C2×C418yes—
99#14524002Q818yescomplemented
100C2×C4⋊Dic67C2311yescharacteristic
101C2×C4⋊Dic67C2311yescharacteristic
102C2×C4⋊Dic67C2312yes—
103C2×C4⋊Dic67C2312yes—
104C2×C4⋊Dic67C2312yes—
105C2×Dic67⋊C4—28no—
106C2×Dic67⋊C4C2314yes—
107C2×Dic67⋊C4C2312yes—
108C2×Dic67⋊C4C2312yes—
109C2×Dic67⋊C4C2312yes—
110C2×Dic67⋊C4C2314yes—
111C2×Dic67⋊C4C2312yes—
112C2×Dic67⋊C4C2312yes—
113C2×Dic67⋊C4C2312yes—
114C2×Dic67⋊C4C2312yes—
115C2×Dic67⋊C4C2312yes—
116C2×C22⋊Dic67C2312yes—
117C2×C22⋊Dic67C2312yes—
118C2×C4×Dic67—24no—
119C2×C4×Dic67C2×C418yes—
120C2×C4×Dic67C2311yescharacteristic
121C2×C4×Dic67C2314yes—
122C2×C4×Dic67C2314yes—
123C2×C4×Dic67C2314yes—
124C2×C4×Dic67C2311yescharacteristic
125C2×C4×Dic67C2312yes—
126C2×C4×Dic67C2314yes—
127C2×C4×Dic67C2314yes—
128C2×C4×Dic67C2314yes—
129C2×C4×Dic67C2311yescharacteristic
130C2×C4×Dic67C2312yes—
131C2×C4×Dic67C2311yescharacteristic
132C2×C4×Dic67C2311yescharacteristic
133C2×C4×Dic67C2311yescharacteristic
134C2×C4×Dic67C2312yes—
135C67⋊#95C2312yes—
136C67⋊#95C2312yes—
137C67⋊#95C2312yes—
138C67⋊#95C2312yes—
139C67⋊#95C2314yes—
140C67⋊#95C2314yes—
141C67⋊#95C2314yes—
142C67⋊#95C2314yes—
143C67⋊#95C2314yes—
144C67⋊#95C2314yes—
145C67⋊#95C2314yes—
146C67⋊#95C2314yes—
147C23×C4×C67C2312yes—
148C23×C4×C67C2311yescharacteristic
149#117×C67—24no—
150#117×C67C2×C418yes—
151C2×C4⋊C4×C67C2312yes—
152C2×C4⋊C4×C67C2314yes—
153C2×C4⋊C4×C67C2314yes—
154C2×C4⋊C4×C67C2311yescharacteristic
155C2×C4⋊C4×C67C2311yescharacteristic
156C2×C22⋊C4×C67C2312yes—
157C2×C22⋊C4×C67C2312yes—
158C2×C42×C67—24no—
159C2×C42×C67C2311yescharacteristic
160C2×C42×C67C2312yes—
161C2×C42×C67C2311yescharacteristic
162C2×C42×C67C2312yes—
163C2×C42×C67C2312yes—
164#95×C67C2314yes—
165#95×C67C2314yes—
166C2×Dic134—28no—
167C2×Dic134—44no—
168C2×Dic134C22×C418yes—
169C2×Dic134C22×C418yes—
170C22×Dic67—24no—
171C22×Dic67—24no—
172C22×Dic67—24no—
173C22×Dic67—42no—
174C22×Dic67—42no—
175C22×Dic67C22×C414yes—
176C22×Dic67C22×C414yes—
177C22×Dic67C2412yes—
178C22×Dic67C2411yescharacteristic
179C22×Dic67C2411yescharacteristic
180C22×Dic67C2412yes—
181C22×Dic67C2412yes—
182C22×Dic67C2411yescharacteristic
183C22×Dic67C2414yes—
184C22×Dic67C2412yes—
185C22×Dic67C2411yescharacteristic
186C4⋊Dic67C22×C414yes—
187C4⋊Dic67C22×C414yes—
188C4⋊Dic67C22×C418yes—
189C4⋊Dic67C22×C418yes—
190C4⋊Dic67C2×Q818yes—
191Dic67⋊C4—24no—
192Dic67⋊C4—24no—
193Dic67⋊C4—24no—
194Dic67⋊C4—28no—
195Dic67⋊C4—44no—
196Dic67⋊C4C22×C418yes—
197Dic67⋊C4C22×C418yes—
198Dic67⋊C4C22×C418yes—
199Dic67⋊C4C22×C418yes—
200Dic67⋊C4#4118yes—
201C22⋊Dic67C22×C418yes—
202C22⋊Dic67C2×Q818yes—
203C4×Dic67—22no—
204C4×Dic67—24no—
205C4×Dic67—22no—
206C4×Dic67—28no—
207C4×Dic67—28no—
208C4×Dic67—28no—
209C4×Dic67—44no—
210C4×Dic67—44no—
211C4×Dic67—44no—
212C4×Dic67C22×C414yes—
213C4×Dic67C22×C414yes—
214C4×Dic67C22×C414yes—
215C4×Dic67C22×C414yes—
216C4×Dic67C22×C418yes—
217C4×Dic67C2×Q818yes—
218C24×C67C2411yescharacteristic
219C22×C4×C67—24no—
220C22×C4×C67—24no—
221C22×C4×C67—42no—
222C22×C4×C67C22×C414yes—
223C22×C4×C67C2×Q814yes—
224C22×C4×C67#4114yes—
225C22×C4×C67C2412yes—
226C22×C4×C67C2414yes—
227C22×C4×C67C2412yes—
228C22×C4×C67C2412yes—
229C22×C4×C67C2412yes—
230C22×C4×C67C2411yescharacteristic
231C22×C4×C67C2411yescharacteristic
232C4⋊C4×C67—24no—
233C4⋊C4×C67—28no—
234C4⋊C4×C67—44no—
235C4⋊C4×C67C22×C414yes—
236C4⋊C4×C67C22×C414yes—
237C22⋊C4×C67—24no—
238C22⋊C4×C67C22×C418yes—
239C42×C67—22no—
240C42×C67—24no—
241C42×C67—22no—
242C42×C67—24no—
243C42×C67C22×C418yes—
244C23×C67—22no—
245C23×C67—22no—
246C23×C67C23×C412yes—
247C23×C67C22×Q812yes—
248C23×C67C2×#4112yes—
249C23×C67C2511yescharacteristic
250C2×C4×C67—22no—
251C2×C4×C67—24no—
252C2×C4×C67—24no—
253C2×C4×C67—22no—
254C2×C4×C67—22no—
255C2×C4×C67—24no—
256C2×C4×C67—24no—
257C2×C4×C67—22no—
258C2×C4×C67—22no—
259C2×C4×C67—24no—
260C2×C4×C67—48no—
261C2×C4×C67C4×Q8116yescomplemented
262C2×C4×C67C23×C414yes—
263C2×C4×C67C23×C414yes—
264C2×C4×C67C23×C412yes—
265C2×C4×C67C23×C412yes—
266C2×C4×C67C22×Q812yes—
267C2×C4×C67C22×Q812yes—
268C2×C4×C67C2×#4114yes—
269C2×C4×C67C2×#4112yes—
270C2×C4×C67C2×#4112yes—
271C2×Dic67—24no—
272C2×Dic67—22no—
273C2×Dic67—24no—
274C2×Dic67—22no—
275C2×Dic67—24no—
276C2×Dic67—22no—
277C2×Dic67—22no—
278C2×Dic67—24no—
279C2×Dic67—22no—
280C2×Dic67—28no—
281C2×Dic67—22no—
282C2×Dic67—22no—
283C2×Dic67—22no—
284C2×Dic67—44no—
285C2×Dic67—48no—
286C2×Dic67C23×C412yes—
287C2×Dic67C23×C412yes—
288C2×Dic67C23×C412yes—
289C2×Dic67C23×C414yes—
290C2×Dic67C23×C414yes—
291C2×Dic67C23×C412yes—
292C2×Dic67C22×Q818yes—
293C2×Dic67C2×#4114yes—
294C2×Dic67C2×#4114yes—
295Dic134—216no—
296Dic134—48no—
297C22×C67—22no—
298C22×C67—22no—
299C22×C67—24no—
300C22×C67—24no—
301C22×C67C2×C4×Q814yes—
302C22×C67C24×C411yescharacteristic
303C22×C67C23×Q811yescharacteristic
304C22×C67C22×#4112yes—
305C22×C67C22×#4111yescharacteristic
306C22×C67#58512yes—
307C4×C67—24no—
308C4×C67—24no—
309C4×C67—24no—
310C4×C67—44no—
311C4×C67—42no—
312C4×C67C2×C4×Q814yes—
313C4×C67C2×C4×Q814yes—
314Dic67—24no—
315Dic67—22no—
316Dic67—22no—
317Dic67—24no—
318Dic67—22no—
319Dic67—24no—
320Dic67—28no—
321Dic67—42no—
322Dic67C4×#4114yes—
323#34145—671nomaximal, Sylow
324C2×C67—24no—
325C2×C67C22×C4×Q811yescharacteristic
326C2×C67C2×C4×#4111yescharacteristic
327C2×C67#342811yescharacteristic
328C2×C67#347512yes—
329C2×C67Q8×#4112yes—
330C2×#533—671no—
331#2370—672no—
332#2370—672no—
333#2369—672no—
334#2368—674no—
335#2365—672no—
336#2360—674no—
337#2296—671no—
338#2296D6711yescharacteristic
339#2295—672no—
340#2295—672no—
341#2295—672no—
342C42×Q8—672no—
343C4×#117—671no—
344C4×#117—671no—
345C4×#117—671no—
346C2×C4×C4⋊C4—671no—
347C67#3414511yescharacteristic, complemented, Sylow
348#533—6716no—
349C2×C4⋊Q8—671no—
350C2×C4⋊Q8—671no—
351C2×#125—671no—
352C2×#125—671no—
353C2×C22⋊Q8—672no—
354C2×C22⋊Q8—672no—
355C2×C4×Q8—674no—
356C2×C4×Q8—672no—
357C2×C4×Q8—672no—
358C2×#117—671no—
359C2×#117—671no—
360C2×#117C2×D6711yescharacteristic
361C2×#117C2×D6711yescharacteristic
362C22×C4⋊C4—672no—
363C22×C42—671no—
364C22×C42—671no—
365C22×C42C2×D6711yescharacteristic
366#391—674no—
367#391—674no—
368#391—674no—
369#389—674no—
370#389—674no—
371#389—674no—
372#389—672no—
373#389—672no—
374#389C2×D6712yes—
375#389C2×D6712yes—
376#387—674no—
377#387—674no—
378#387—674no—
379#387—674no—
380#387—674no—
381#387—674no—
382#385—674no—
383#385C2×D6714yes—
384C4×C4⋊C4—672no—
385C4×C4⋊C4—672no—
386C4×C4⋊C4—674no—
387C4×C4⋊C4—672no—
388C4×C4⋊C4—672no—
389C4×C4⋊C4—672no—
390C4×C4⋊C4—672no—
391C4×C4⋊C4—672no—
392C4×C4⋊C4—672no—
393C4×C4⋊C4—671no—
394C4×C4⋊C4—671no—
395C4×C4⋊C4—671no—
396C4×C4⋊C4—671no—
397C4×C4⋊C4—672no—
398C4×C4⋊C4—672no—
399C4×C4⋊C4—674no—
400C4×C4⋊C4—674no—
401C4×C4⋊C4C2×D6712yes—
402C4×C4⋊C4C2×D6712yes—
403C4×C22⋊C4—674no—
404C4×C22⋊C4—672no—
405C4×C22⋊C4—674no—
406C4×C22⋊C4—672no—
407#376—672no—
408#376—672no—
409#376—672no—
410C2×#95—672no—
411C43—672no—
412C43—672no—
413C43—672no—
414C22×Q8—672no—
415C22×Q8—672no—
416C23×C4—671no—
417C23×C4—672no—
418C23×C4—671no—
419C23×C4C22×D6712yes—
420C23×C4C22×D6711yescharacteristic
421C4⋊Q8—678no—
422C4⋊Q8—678no—
423#125—678no—
424#125—678no—
425C22⋊Q8—6716no—
426C22⋊Q8—6716no—
427C4×Q8—6716no—
428C4×Q8—6716no—
429C4×Q8—13416no—
430#117—24no—
431#117—678no—
432#117—678no—
433#117C4×D6718yes—
434C2×C4⋊C4—674no—
435C2×C4⋊C4—672no—
436C2×C4⋊C4—671no—
437C2×C4⋊C4—671no—
438C2×C4⋊C4—672no—
439C2×C4⋊C4—672no—
440C2×C4⋊C4—672no—
441C2×C4⋊C4—672no—
442C2×C4⋊C4—672no—
443C2×C4⋊C4—672no—
444C2×C4⋊C4—672no—
445C2×C4⋊C4—672no—
446C2×C4⋊C4—672no—
447C2×C4⋊C4—672no—
448C2×C4⋊C4—674no—
449C2×C4⋊C4—1348no—
450C2×C4⋊C4C22×D6712yes—
451C2×C4⋊C4C22×D6714yes—
452C2×C4⋊C4C22×D6714yes—
453C2×C4⋊C4C22×D6711yescharacteristic
454C2×C4⋊C4C22×D6711yescharacteristic
455C2×C22⋊C4—672no—
456C2×C22⋊C4—672no—
457C2×C22⋊C4C22×D6712yes—
458C2×C22⋊C4C22×D6712yes—
459C2×C42—24no—
460C2×C42—674no—
461C2×C42—674no—
462C2×C42—674no—
463C2×C42—678no—
464C2×C42—671no—
465C2×C42—671no—
466C2×C42—672no—
467C2×C42—672no—
468C2×C42—671no—
469C2×C42—671no—
470C2×C42—674no—
471C2×C42—674no—
472C2×C42—674no—
473C2×C42—672no—
474C2×C42—671no—
475C2×C42—671no—
476C2×C42—1344no—
477C2×C42C22×D6712yes—
478C2×C42C22×D6712yes—
479C2×C42C22×D6711yescharacteristic
480C2×C42C22×D6711yescharacteristic
481C2×C42C22×D6712yes—
482#95—672no—
483#95—672no—
484#95—672no—
485#95—672no—
486#95—674no—
487#95—674no—
488#95—674no—
489#95—674no—
490#95—674no—
491#95—674no—
492#95—674no—
493#95—674no—
494#95C22×D6714yes—
495#95C22×D6714yes—
496C24C23×D6711yescharacteristic
497C2×Q8—2684no—
498C2×Q8—678no—
499C2×Q8—678no—
500C2×Q8—1348no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—42no—
504C22×C4—2682no—
505C22×C4—2682no—
506C22×C4—674no—
507C22×C4—671no—
508C22×C4—674no—
509C22×C4—671no—
510C22×C4—674no—
511C22×C4—671no—
512C22×C4—672no—
513C22×C4—672no—
514C22×C4—672no—
515C22×C4—671no—
516C22×C4—672no—
517C22×C4—1344no—
518C22×C4—1344no—
519C22×C4—1344no—
520C22×C4C2×C4×D6714yes—
521C22×C4Q8×D6714yes—
522C22×C4#1176162714yes—
523C22×C4C23×D6712yes—
524C22×C4C23×D6714yes—
525C22×C4C23×D6712yes—
526C22×C4C23×D6712yes—
527C22×C4C23×D6712yes—
528C22×C4C23×D6711yescharacteristic
529C22×C4C23×D6711yescharacteristic
530C4⋊C4—28no—
531C4⋊C4—24no—
532C4⋊C4—44no—
533C4⋊C4—2684no—
534C4⋊C4—674no—
535C4⋊C4—674no—
536C4⋊C4—678no—
537C4⋊C4—678no—
538C4⋊C4—678no—
539C4⋊C4—678no—
540C4⋊C4—678no—
541C4⋊C4—678no—
542C4⋊C4—678no—
543C4⋊C4—678no—
544C4⋊C4—1344no—
545C4⋊C4—1344no—
546C4⋊C4—1348no—
547C4⋊C4—1344no—
548C4⋊C4C2×C4×D6714yes—
549C4⋊C4C2×C4×D6714yes—
550C22⋊C4—24no—
551C22⋊C4—678no—
552C22⋊C4—678no—
553C22⋊C4C2×C4×D6718yes—
554C42—22no—
555C42—24no—
556C42—22no—
557C42—24no—
558C42—2684no—
559C42—2684no—
560C42—2684no—
561C42—674no—
562C42—674no—
563C42—674no—
564C42—674no—
565C42—678no—
566C42—678no—
567C42—1348no—
568C42—1348no—
569C42—1348no—
570C42—1342no—
571C42—1344no—
572C42—1342no—
573C42C2×C4×D6718yes—
574C23—22no—
575C23—22no—
576C23C22×C4×D6712yes—
577C23C2×Q8×D6712yes—
578C23C2×#1176162712yes—
579C23C24×D6711yescharacteristic
580Q8—2688no—
581Q8—13416no—
582C2×C4—24no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—22no—
592C2×C4—48no—
593C2×C4—2688no—
594C2×C4—2684no—
595C2×C4—672no—
596C2×C4—674no—
597C2×C4—672no—
598C2×C4—672no—
599C2×C4—672no—
600C2×C4—674no—
601C2×C4—674no—
602C2×C4—678no—
603C2×C4—674no—
604C2×C4—1342no—
605C2×C4—1342no—
606C2×C4—1342no—
607C2×C4—1348no—
608C2×C4—1344no—
609C2×C4—1344no—
610C2×C4—1342no—
611C2×C4—1342no—
612C2×C4—1344no—
613C2×C4—1342no—
614C2×C4—1342no—
615C2×C4—1344no—
616C2×C4—1342no—
617C2×C4#14524008116yescomplemented
618C2×C4C22×C4×D6714yes—
619C2×C4C22×C4×D6714yes—
620C2×C4C22×C4×D6712yes—
621C2×C4C22×C4×D6712yes—
622C2×C4C2×Q8×D6712yes—
623C2×C4C2×Q8×D6712yes—
624C2×C4#41×D6714yes—
625C2×C4C2×#1176162712yes—
626C2×C4C2×#1176162712yes—
627C22—22no—
628C22—22no—
629C22—24no—
630C22—24no—
631C22C2×#1452400814yes—
632C22C23×C4×D6711yescharacteristic
633C22C22×Q8×D6711yescharacteristic
634C22C2×#41×D6712yes—
635C22C22×#1176162711yescharacteristic
636C22#1686423212yes—
637C4—24no—
638C4—24no—
639C4—24no—
640C4—42no—
641C4—44no—
642C4—2682no—
643C4—674no—
644C4—1342no—
645C4—1344no—
646C4—1342no—
647C4—1342no—
648C4—1344no—
649C4—1344no—
650C4—1348no—
651C4C2×#1452400814yes—
652C4C2×#1452400814yes—
653C2—24no—
654C2C22×#1452400811yescharacteristic
655C2C4×#41×D6711yescharacteristic
656C2#2257340811yescharacteristic
657C2#2257376912yes—
658C2#2257378712yes—
subgroupG/H
centerC22×C4C23×D67
commutatorC22×C67C24×C4
FrattiniC23C24×D67
FittingC67×#2296C2
socle, cosocleC23×C67C25
prime radicalC24×C67C24
hypercenter#2296D67
hypocenterC67#34145
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C22×C4 ◁ #2296

Complements

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

NH ≅ G/Ntype
2. #22563310C2semidirect
3. #22563304C2semidirect
4. #22563295C2semidirect
6. #22563262C2semidirect
9. #22562685C2semidirect
10. #22562685C2semidirect
11. #22562683C2semidirect
12. C4×#14524008C2semidirect
18. #16863949C4semidirect
89. #14524042C2×C4semidirect
90. #14524042C2×C4semidirect
91. #14524034C2×C4semidirect
92. #14524034C2×C4semidirect
95. C4×Dic134C2×C4semidirect
96. C4×Dic134C2×C4semidirect
99. #14524002Q8semidirect
261. C2×C4×C67C4×Q8semidirect
347. C67#34145semidirect
617. C2×C4#14524008semidirect

Maximal subgroups

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

subgroupindex
C2×#168639492
#225633102
#225633042
#225632952
#225632902
#225632622
#225632092
#225626912
#225626852
#225626832
C4×#145240082
#117×Dic672
C4×#145240022
C2×C4×Dic67⋊C42
C67×#22962
#3414567