Finite Group Databasebeta

← #32157115

Subgroups — #32157115

Order 18176.

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×#17986552C211yesmaximal, characteristic
2#22591441C212yesmaximal, complemented
3#22591435C212yesmaximal, complemented
4#22591426C212yesmaximal, complemented
5#22591421C214yesmaximal
6#22591393C212yesmaximal, complemented
7#22591340C214yesmaximal
8#22590822C211yesmaximal, characteristic
9#22590816C212yesmaximal, complemented
10#22590816C212yesmaximal, complemented
11#22590814C212yesmaximal, complemented
12C4×#14556093C212yesmaximal, complemented
13#117×Dic71C211yesmaximal, characteristic
14#117×Dic71C211yesmaximal, characteristic
15C4×#14556087C211yesmaximal, characteristic
16C2×C4×Dic71⋊C4C211yesmaximal, characteristic
17C71×#2296C211yesmaximal, characteristic
18#17986552C4116yescomplemented
19C2×#14556127C2211yescharacteristic
20C2×#14556127C2211yescharacteristic
21C2×#14556119C2211yescharacteristic
22C2×#14556119C2211yescharacteristic
23C2×#14556105C2212yes—
24C2×#14556105C2212yes—
25C2×C4×Dic142C2212yes—
26C2×C4×Dic142C2212yes—
27C2×#14556093C2214yes—
28C2×#14556087C2211yescharacteristic
29C2×#14556087C2211yescharacteristic
30C22×Dic71⋊C4C2212yes—
31C22×C4×Dic71C2211yescharacteristic
32C22×C4×Dic71C2211yescharacteristic
33#17985904C2214yes—
34#17985903C2214yes—
35#17985903C2214yes—
36#17985895C2214yes—
37#17985895C2212yes—
38#17985895C2212yes—
39#17985894C2214yes—
40#17985894C2214yes—
41#17985884C2214yes—
42#17985884C2214yes—
43#17985881C2214yes—
44#17985881C2214yes—
45#17985880C2214yes—
46#17985880C2214yes—
47#17985871C2214yes—
48C4⋊C4×Dic71C2212yes—
49C4⋊C4×Dic71C2212yes—
50C4⋊C4×Dic71C2214yes—
51C4⋊C4×Dic71C2212yes—
52C4⋊C4×Dic71C2212yes—
53C4×Dic71⋊C4C2211yescharacteristic
54C4×Dic71⋊C4C2212yes—
55C4×Dic71⋊C4C2212yes—
56C4×Dic71⋊C4C2211yescharacteristic
57C4×Dic71⋊C4C2211yescharacteristic
58C4×Dic71⋊C4C2212yes—
59C4×Dic71⋊C4C2212yes—
60C4×Dic71⋊C4C2211yescharacteristic
61C4×C4⋊Dic71C2212yes—
62C4×C4⋊Dic71C2212yes—
63#17985850C2214yes—
64#17985850C2214yes—
65C22⋊C4×Dic71C2212yes—
66C22⋊C4×Dic71C2214yes—
67C22⋊C4×Dic71C2212yes—
68C4×C22⋊Dic71C2214yes—
69#17985845C2212yes—
70#17985845C2212yes—
71#17985845C2212yes—
72C2×C71⋊#95C2212yes—
73C42×Dic71C2212yes—
74C42×Dic71C2212yes—
75C42×Dic71C2212yes—
76C2×#117×C71C2211yescharacteristic
77C2×#117×C71C2211yescharacteristic
78C22×C42×C71C2211yescharacteristic
79#389×C71C2212yes—
80#389×C71C2212yes—
81#385×C71C2214yes—
82C4×C4⋊C4×C71C2212yes—
83C4×C4⋊C4×C71C2212yes—
84C22×Dic142C2312yes—
85C22×Dic142C2312yes—
86C23×Dic71C2312yes—
87C23×Dic71C2311yescharacteristic
88C23×Dic71C2311yescharacteristic
89#14556127C2×C418yescomplemented
90#14556127C2×C418yescomplemented
91#14556119C2×C418yescomplemented
92#14556119C2×C418yescomplemented
93#14556105C2×C4116yes—
94#14556105C2×C4116yes—
95C4×Dic142C2×C4116yescomplemented
96C4×Dic142C2×C4116yescomplemented
97#14556093—216no—
98#14556087C2×C418yes—
99#14556087Q818yescomplemented
100C2×C4⋊Dic71C2311yescharacteristic
101C2×C4⋊Dic71C2311yescharacteristic
102C2×C4⋊Dic71C2312yes—
103C2×C4⋊Dic71C2312yes—
104C2×C4⋊Dic71C2312yes—
105C2×Dic71⋊C4—28no—
106C2×Dic71⋊C4C2314yes—
107C2×Dic71⋊C4C2312yes—
108C2×Dic71⋊C4C2312yes—
109C2×Dic71⋊C4C2312yes—
110C2×Dic71⋊C4C2314yes—
111C2×Dic71⋊C4C2312yes—
112C2×Dic71⋊C4C2312yes—
113C2×Dic71⋊C4C2312yes—
114C2×Dic71⋊C4C2312yes—
115C2×Dic71⋊C4C2312yes—
116C2×C22⋊Dic71C2312yes—
117C2×C22⋊Dic71C2312yes—
118C2×C4×Dic71—24no—
119C2×C4×Dic71C2×C418yes—
120C2×C4×Dic71C2311yescharacteristic
121C2×C4×Dic71C2314yes—
122C2×C4×Dic71C2314yes—
123C2×C4×Dic71C2314yes—
124C2×C4×Dic71C2311yescharacteristic
125C2×C4×Dic71C2312yes—
126C2×C4×Dic71C2314yes—
127C2×C4×Dic71C2314yes—
128C2×C4×Dic71C2314yes—
129C2×C4×Dic71C2311yescharacteristic
130C2×C4×Dic71C2312yes—
131C2×C4×Dic71C2311yescharacteristic
132C2×C4×Dic71C2311yescharacteristic
133C2×C4×Dic71C2311yescharacteristic
134C2×C4×Dic71C2312yes—
135C71⋊#95C2312yes—
136C71⋊#95C2312yes—
137C71⋊#95C2312yes—
138C71⋊#95C2312yes—
139C71⋊#95C2314yes—
140C71⋊#95C2314yes—
141C71⋊#95C2314yes—
142C71⋊#95C2314yes—
143C71⋊#95C2314yes—
144C71⋊#95C2314yes—
145C71⋊#95C2314yes—
146C71⋊#95C2314yes—
147C23×C4×C71C2312yes—
148C23×C4×C71C2311yescharacteristic
149#117×C71—24no—
150#117×C71C2×C418yes—
151C2×C4⋊C4×C71C2312yes—
152C2×C4⋊C4×C71C2314yes—
153C2×C4⋊C4×C71C2314yes—
154C2×C4⋊C4×C71C2311yescharacteristic
155C2×C4⋊C4×C71C2311yescharacteristic
156C2×C22⋊C4×C71C2312yes—
157C2×C22⋊C4×C71C2312yes—
158C2×C42×C71—24no—
159C2×C42×C71C2311yescharacteristic
160C2×C42×C71C2312yes—
161C2×C42×C71C2311yescharacteristic
162C2×C42×C71C2312yes—
163C2×C42×C71C2312yes—
164#95×C71C2314yes—
165#95×C71C2314yes—
166C2×Dic142—28no—
167C2×Dic142—44no—
168C2×Dic142C22×C418yes—
169C2×Dic142C22×C418yes—
170C22×Dic71—24no—
171C22×Dic71—24no—
172C22×Dic71—24no—
173C22×Dic71—42no—
174C22×Dic71—42no—
175C22×Dic71C22×C414yes—
176C22×Dic71C22×C414yes—
177C22×Dic71C2412yes—
178C22×Dic71C2411yescharacteristic
179C22×Dic71C2411yescharacteristic
180C22×Dic71C2411yescharacteristic
181C22×Dic71C2412yes—
182C22×Dic71C2412yes—
183C22×Dic71C2414yes—
184C22×Dic71C2412yes—
185C22×Dic71C2411yescharacteristic
186C4⋊Dic71C22×C414yes—
187C4⋊Dic71C22×C414yes—
188C4⋊Dic71C22×C418yes—
189C4⋊Dic71C22×C418yes—
190C4⋊Dic71C2×Q818yes—
191Dic71⋊C4—24no—
192Dic71⋊C4—24no—
193Dic71⋊C4—24no—
194Dic71⋊C4—28no—
195Dic71⋊C4—44no—
196Dic71⋊C4C22×C418yes—
197Dic71⋊C4C22×C418yes—
198Dic71⋊C4C22×C418yes—
199Dic71⋊C4C22×C418yes—
200Dic71⋊C4#4118yes—
201C22⋊Dic71C22×C418yes—
202C22⋊Dic71C2×Q818yes—
203C4×Dic71—22no—
204C4×Dic71—24no—
205C4×Dic71—22no—
206C4×Dic71—28no—
207C4×Dic71—28no—
208C4×Dic71—28no—
209C4×Dic71—44no—
210C4×Dic71—44no—
211C4×Dic71—44no—
212C4×Dic71C22×C414yes—
213C4×Dic71C22×C414yes—
214C4×Dic71C22×C414yes—
215C4×Dic71C22×C414yes—
216C4×Dic71C22×C418yes—
217C4×Dic71C2×Q818yes—
218C24×C71C2411yescharacteristic
219C22×C4×C71—24no—
220C22×C4×C71—24no—
221C22×C4×C71—42no—
222C22×C4×C71C22×C414yes—
223C22×C4×C71C2×Q814yes—
224C22×C4×C71#4114yes—
225C22×C4×C71C2412yes—
226C22×C4×C71C2414yes—
227C22×C4×C71C2412yes—
228C22×C4×C71C2412yes—
229C22×C4×C71C2412yes—
230C22×C4×C71C2411yescharacteristic
231C22×C4×C71C2411yescharacteristic
232C4⋊C4×C71—24no—
233C4⋊C4×C71—28no—
234C4⋊C4×C71—44no—
235C4⋊C4×C71C22×C414yes—
236C4⋊C4×C71C22×C414yes—
237C22⋊C4×C71—24no—
238C22⋊C4×C71C22×C418yes—
239C42×C71—22no—
240C42×C71—24no—
241C42×C71—22no—
242C42×C71—24no—
243C42×C71C22×C418yes—
244C23×C71—22no—
245C23×C71—22no—
246C23×C71C23×C412yes—
247C23×C71C22×Q812yes—
248C23×C71C2×#4112yes—
249C23×C71C2511yescharacteristic
250C2×C4×C71—22no—
251C2×C4×C71—24no—
252C2×C4×C71—24no—
253C2×C4×C71—22no—
254C2×C4×C71—22no—
255C2×C4×C71—24no—
256C2×C4×C71—24no—
257C2×C4×C71—22no—
258C2×C4×C71—22no—
259C2×C4×C71—24no—
260C2×C4×C71—48no—
261C2×C4×C71C4×Q8116yescomplemented
262C2×C4×C71C23×C414yes—
263C2×C4×C71C23×C414yes—
264C2×C4×C71C23×C412yes—
265C2×C4×C71C23×C412yes—
266C2×C4×C71C22×Q812yes—
267C2×C4×C71C22×Q812yes—
268C2×C4×C71C2×#4114yes—
269C2×C4×C71C2×#4112yes—
270C2×C4×C71C2×#4112yes—
271C2×Dic71—24no—
272C2×Dic71—22no—
273C2×Dic71—24no—
274C2×Dic71—22no—
275C2×Dic71—24no—
276C2×Dic71—22no—
277C2×Dic71—22no—
278C2×Dic71—24no—
279C2×Dic71—22no—
280C2×Dic71—28no—
281C2×Dic71—22no—
282C2×Dic71—22no—
283C2×Dic71—22no—
284C2×Dic71—44no—
285C2×Dic71—48no—
286C2×Dic71C23×C412yes—
287C2×Dic71C23×C412yes—
288C2×Dic71C23×C412yes—
289C2×Dic71C23×C414yes—
290C2×Dic71C23×C414yes—
291C2×Dic71C23×C412yes—
292C2×Dic71C22×Q818yes—
293C2×Dic71C2×#4114yes—
294C2×Dic71C2×#4114yes—
295Dic142—216no—
296Dic142—48no—
297C22×C71—22no—
298C22×C71—22no—
299C22×C71—24no—
300C22×C71—24no—
301C22×C71C2×C4×Q814yes—
302C22×C71C24×C411yescharacteristic
303C22×C71C23×Q811yescharacteristic
304C22×C71C22×#4112yes—
305C22×C71C22×#4111yescharacteristic
306C22×C71#58512yes—
307C4×C71—24no—
308C4×C71—24no—
309C4×C71—24no—
310C4×C71—44no—
311C4×C71—42no—
312C4×C71C2×C4×Q814yes—
313C4×C71C2×C4×Q814yes—
314Dic71—24no—
315Dic71—22no—
316Dic71—22no—
317Dic71—24no—
318Dic71—22no—
319Dic71—24no—
320Dic71—28no—
321Dic71—42no—
322Dic71C4×#4114yes—
323#34145—711nomaximal, Sylow
324C2×C71—24no—
325C2×C71C22×C4×Q811yescharacteristic
326C2×C71C2×C4×#4111yescharacteristic
327C2×C71#342811yescharacteristic
328C2×C71#347512yes—
329C2×C71Q8×#4112yes—
330C2×#533—711no—
331#2370—712no—
332#2370—712no—
333#2369—712no—
334#2368—714no—
335#2365—712no—
336#2360—714no—
337#2296—711no—
338#2296D7111yescharacteristic
339#2295—712no—
340#2295—712no—
341#2295—712no—
342C42×Q8—712no—
343C4×#117—711no—
344C4×#117—711no—
345C4×#117—711no—
346C2×C4×C4⋊C4—711no—
347C71#3414511yescharacteristic, complemented, Sylow
348#533—7116no—
349C2×C4⋊Q8—711no—
350C2×C4⋊Q8—711no—
351C2×#125—711no—
352C2×#125—711no—
353C2×C22⋊Q8—712no—
354C2×C22⋊Q8—712no—
355C2×C4×Q8—714no—
356C2×C4×Q8—712no—
357C2×C4×Q8—712no—
358C2×#117—711no—
359C2×#117—711no—
360C2×#117C2×D7111yescharacteristic
361C2×#117C2×D7111yescharacteristic
362C22×C4⋊C4—712no—
363C22×C42—711no—
364C22×C42—711no—
365C22×C42C2×D7111yescharacteristic
366#391—714no—
367#391—714no—
368#391—714no—
369#389—714no—
370#389—714no—
371#389—714no—
372#389—712no—
373#389—712no—
374#389C2×D7112yes—
375#389C2×D7112yes—
376#387—714no—
377#387—714no—
378#387—714no—
379#387—714no—
380#387—714no—
381#387—714no—
382#385—714no—
383#385C2×D7114yes—
384C4×C4⋊C4—712no—
385C4×C4⋊C4—712no—
386C4×C4⋊C4—714no—
387C4×C4⋊C4—712no—
388C4×C4⋊C4—712no—
389C4×C4⋊C4—712no—
390C4×C4⋊C4—712no—
391C4×C4⋊C4—712no—
392C4×C4⋊C4—712no—
393C4×C4⋊C4—711no—
394C4×C4⋊C4—711no—
395C4×C4⋊C4—711no—
396C4×C4⋊C4—711no—
397C4×C4⋊C4—712no—
398C4×C4⋊C4—712no—
399C4×C4⋊C4—714no—
400C4×C4⋊C4—714no—
401C4×C4⋊C4C2×D7112yes—
402C4×C4⋊C4C2×D7112yes—
403C4×C22⋊C4—714no—
404C4×C22⋊C4—712no—
405C4×C22⋊C4—714no—
406C4×C22⋊C4—712no—
407#376—712no—
408#376—712no—
409#376—712no—
410C2×#95—712no—
411C43—712no—
412C43—712no—
413C43—712no—
414C22×Q8—712no—
415C22×Q8—712no—
416C23×C4—711no—
417C23×C4—712no—
418C23×C4—711no—
419C23×C4C22×D7112yes—
420C23×C4C22×D7111yescharacteristic
421C4⋊Q8—718no—
422C4⋊Q8—718no—
423#125—718no—
424#125—718no—
425C22⋊Q8—7116no—
426C22⋊Q8—7116no—
427C4×Q8—7116no—
428C4×Q8—7116no—
429C4×Q8—14216no—
430#117—24no—
431#117—718no—
432#117—718no—
433#117C4×D7118yes—
434C2×C4⋊C4—714no—
435C2×C4⋊C4—712no—
436C2×C4⋊C4—711no—
437C2×C4⋊C4—711no—
438C2×C4⋊C4—712no—
439C2×C4⋊C4—712no—
440C2×C4⋊C4—712no—
441C2×C4⋊C4—712no—
442C2×C4⋊C4—712no—
443C2×C4⋊C4—712no—
444C2×C4⋊C4—712no—
445C2×C4⋊C4—712no—
446C2×C4⋊C4—712no—
447C2×C4⋊C4—712no—
448C2×C4⋊C4—714no—
449C2×C4⋊C4—1428no—
450C2×C4⋊C4C22×D7112yes—
451C2×C4⋊C4C22×D7114yes—
452C2×C4⋊C4C22×D7114yes—
453C2×C4⋊C4C22×D7111yescharacteristic
454C2×C4⋊C4C22×D7111yescharacteristic
455C2×C22⋊C4—712no—
456C2×C22⋊C4—712no—
457C2×C22⋊C4C22×D7112yes—
458C2×C22⋊C4C22×D7112yes—
459C2×C42—24no—
460C2×C42—714no—
461C2×C42—714no—
462C2×C42—714no—
463C2×C42—718no—
464C2×C42—711no—
465C2×C42—711no—
466C2×C42—712no—
467C2×C42—712no—
468C2×C42—711no—
469C2×C42—711no—
470C2×C42—714no—
471C2×C42—714no—
472C2×C42—714no—
473C2×C42—712no—
474C2×C42—711no—
475C2×C42—711no—
476C2×C42—1424no—
477C2×C42C22×D7112yes—
478C2×C42C22×D7112yes—
479C2×C42C22×D7111yescharacteristic
480C2×C42C22×D7111yescharacteristic
481C2×C42C22×D7112yes—
482#95—712no—
483#95—712no—
484#95—712no—
485#95—712no—
486#95—714no—
487#95—714no—
488#95—714no—
489#95—714no—
490#95—714no—
491#95—714no—
492#95—714no—
493#95—714no—
494#95C22×D7114yes—
495#95C22×D7114yes—
496C24C23×D7111yescharacteristic
497C2×Q8—2844no—
498C2×Q8—718no—
499C2×Q8—718no—
500C2×Q8—1428no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—42no—
504C22×C4—2842no—
505C22×C4—2842no—
506C22×C4—714no—
507C22×C4—711no—
508C22×C4—714no—
509C22×C4—711no—
510C22×C4—714no—
511C22×C4—711no—
512C22×C4—712no—
513C22×C4—712no—
514C22×C4—712no—
515C22×C4—711no—
516C22×C4—712no—
517C22×C4—1424no—
518C22×C4—1424no—
519C22×C4—1424no—
520C22×C4C2×C4×D7114yes—
521C22×C4Q8×D7114yes—
522C22×C4#1176586414yes—
523C22×C4C23×D7112yes—
524C22×C4C23×D7114yes—
525C22×C4C23×D7112yes—
526C22×C4C23×D7112yes—
527C22×C4C23×D7112yes—
528C22×C4C23×D7111yescharacteristic
529C22×C4C23×D7111yescharacteristic
530C4⋊C4—28no—
531C4⋊C4—24no—
532C4⋊C4—44no—
533C4⋊C4—2844no—
534C4⋊C4—718no—
535C4⋊C4—718no—
536C4⋊C4—718no—
537C4⋊C4—718no—
538C4⋊C4—714no—
539C4⋊C4—714no—
540C4⋊C4—718no—
541C4⋊C4—718no—
542C4⋊C4—718no—
543C4⋊C4—718no—
544C4⋊C4—1424no—
545C4⋊C4—1424no—
546C4⋊C4—1428no—
547C4⋊C4—1424no—
548C4⋊C4C2×C4×D7114yes—
549C4⋊C4C2×C4×D7114yes—
550C22⋊C4—24no—
551C22⋊C4—718no—
552C22⋊C4—718no—
553C22⋊C4C2×C4×D7118yes—
554C42—22no—
555C42—24no—
556C42—22no—
557C42—24no—
558C42—2844no—
559C42—2844no—
560C42—2844no—
561C42—714no—
562C42—714no—
563C42—714no—
564C42—714no—
565C42—718no—
566C42—718no—
567C42—1428no—
568C42—1428no—
569C42—1428no—
570C42—1422no—
571C42—1424no—
572C42—1422no—
573C42C2×C4×D7118yes—
574C23—22no—
575C23—22no—
576C23C22×C4×D7112yes—
577C23C2×Q8×D7112yes—
578C23C2×#1176586412yes—
579C23C24×D7111yescharacteristic
580Q8—2848no—
581Q8—14216no—
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—2848no—
594C2×C4—2844no—
595C2×C4—712no—
596C2×C4—714no—
597C2×C4—712no—
598C2×C4—712no—
599C2×C4—712no—
600C2×C4—714no—
601C2×C4—714no—
602C2×C4—718no—
603C2×C4—714no—
604C2×C4—1422no—
605C2×C4—1422no—
606C2×C4—1422no—
607C2×C4—1428no—
608C2×C4—1424no—
609C2×C4—1424no—
610C2×C4—1422no—
611C2×C4—1422no—
612C2×C4—1424no—
613C2×C4—1422no—
614C2×C4—1422no—
615C2×C4—1424no—
616C2×C4—1422no—
617C2×C4#14556093116yescomplemented
618C2×C4C22×C4×D7114yes—
619C2×C4C22×C4×D7114yes—
620C2×C4C22×C4×D7112yes—
621C2×C4C22×C4×D7112yes—
622C2×C4C2×Q8×D7112yes—
623C2×C4C2×Q8×D7112yes—
624C2×C4#41×D7114yes—
625C2×C4C2×#1176586412yes—
626C2×C4C2×#1176586412yes—
627C22—22no—
628C22—22no—
629C22—24no—
630C22—24no—
631C22C2×#1455609314yes—
632C22C23×C4×D7111yescharacteristic
633C22C22×Q8×D7111yescharacteristic
634C22C2×#41×D7112yes—
635C22C22×#1176586411yescharacteristic
636C22#1798683512yes—
637C4—24no—
638C4—24no—
639C4—24no—
640C4—42no—
641C4—44no—
642C4—2842no—
643C4—714no—
644C4—1422no—
645C4—1424no—
646C4—1422no—
647C4—1422no—
648C4—1424no—
649C4—1424no—
650C4—1428no—
651C4C2×#1455609314yes—
652C4C2×#1455609314yes—
653C2—24no—
654C2C22×#1455609311yescharacteristic
655C2C4×#41×D7111yescharacteristic
656C2#2260153911yescharacteristic
657C2#2260190012yes—
658C2#2260191812yes—
subgroupG/H
centerC22×C4C23×D71
commutatorC22×C71C24×C4
FrattiniC23C24×D71
FittingC71×#2296C2
socle, cosocleC23×C71C25
prime radicalC24×C71C24
hypercenter#2296D71
hypocenterC71#34145
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ #2296

Complements

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

NH ≅ G/Ntype
2. #22591441C2semidirect
3. #22591435C2semidirect
4. #22591426C2semidirect
6. #22591393C2semidirect
9. #22590816C2semidirect
10. #22590816C2semidirect
11. #22590814C2semidirect
12. C4×#14556093C2semidirect
18. #17986552C4semidirect
89. #14556127C2×C4semidirect
90. #14556127C2×C4semidirect
91. #14556119C2×C4semidirect
92. #14556119C2×C4semidirect
95. C4×Dic142C2×C4semidirect
96. C4×Dic142C2×C4semidirect
99. #14556087Q8semidirect
261. C2×C4×C71C4×Q8semidirect
347. C71#34145semidirect
617. C2×C4#14556093semidirect

Maximal subgroups

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

subgroupindex
C2×#179865522
#225914412
#225914352
#225914262
#225914212
#225913932
#225913402
#225908222
#225908162
#225908142
C4×#145560932
#117×Dic712
C4×#145560872
C2×C4×Dic71⋊C42
C71×#22962
#3414571