Finite Group Databasebeta

← #7715594

Subgroups — #7715594

Order 512.

4672 conjugacy classes of subgroups.

The subgroup lattice has 811 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48152C218yesmaximal, complemented
2#48085C218yesmaximal, complemented
3#47533C218yesmaximal, complemented
4#46953C218yesmaximal, complemented
5#39083C214yesmaximal, complemented
6#39066C214yesmaximal, complemented
7#38073C214yesmaximal, complemented
8#38056C214yesmaximal, complemented
9#37520C212yesmaximal, complemented
10#37425C211yesmaximal, characteristic, complemented
11#37318C212yesmaximal, complemented
12#37297C211yesmaximal, characteristic
13#35287C212yesmaximal, complemented
14#35271C212yesmaximal, complemented
15#35254C212yesmaximal, complemented
16#34411C212yesmaximal, complemented
17#34056C211yesmaximal, characteristic, complemented
18C2×#535C2212yes—
19C2×C4×#41C2211yescharacteristic
20#2860C2214yescomplemented
21#2856C2212yes—
22#2854C2214yes—
23#2854C2214yescomplemented
24#2851C2212yescomplemented
25#2837C2218yescomplemented
26#2809C2214yescomplemented
27#2796C2218yescomplemented
28#2781C2218yescomplemented
29#2780C2218yescomplemented
30#2770C2218yescomplemented
31#2761C2218yescomplemented
32#2756C2218yescomplemented
33#2753C2218yescomplemented
34#2752C2218yescomplemented
35#2749C2218yescomplemented
36#2748C2214yes—
37#2743C2218yescomplemented
38#2741C2218yescomplemented
39#2738C2218yescomplemented
40#2733C2214yes—
41#2711C2218yescomplemented
42#2708C2218yescomplemented
43#2706C2218yescomplemented
44#2705C2218yescomplemented
45#2695C2218yescomplemented
46#2694C2218yescomplemented
47#2694C2218yescomplemented
48#2685C2218yescomplemented
49#2685C2218yescomplemented
50#2679C2214yes—
51#2669C2218yes—
52#2647C2212yescomplemented
53#2647C2212yescomplemented
54#2644C2214yescomplemented
55#2641C2212yes—
56#2641C2212yes—
57#2636C2218yescomplemented
58#2630C2218yescomplemented
59#2629C2212yescomplemented
60#2624C2214yes—
61#2624C2214yescomplemented
62#2619C2212yes—
63#2602C2218yescomplemented
64#2596C2218yescomplemented
65#2593C2218yescomplemented
66#2562C2218yescomplemented
67#2554C2218yescomplemented
68#2553C2218yescomplemented
69#2534C2218yescomplemented
70#2534C2218yescomplemented
71#2531C2218yescomplemented
72#2526C2218yescomplemented
73#2525C2218yescomplemented
74#2519C2218yescomplemented
75#2519C2218yescomplemented
76#2515C2218yescomplemented
77#2513C2214yescomplemented
78#2512C2214yescomplemented
79#2508C2214yescomplemented
80#2506C2214yescomplemented
81#2500C2214yes—
82#2495C2218yescomplemented
83#2468C2218yescomplemented
84#2468C2218yescomplemented
85#2467C2218yescomplemented
86#2457C2218yescomplemented
87#2454C2214yescomplemented
88#2454C2214yescomplemented
89#2448C2218yescomplemented
90#2445C2218yes—
91#2445C2214yes—
92#2445C2214yes—
93#2444C2218yescomplemented
94#2442C2214yescomplemented
95#2441C2214yescomplemented
96#2433C2214yes—
97#2425C2218yescomplemented
98#2418C2218yes—
99#2418C2218yescomplemented
100#2418C2218yescomplemented
101#2418C2218yescomplemented
102#2412C2218yescomplemented
103#2412C2218yescomplemented
104#2380C2214yes—
105#2375C2214yescomplemented
106#2366C2214yes—
107#2363C2214yes—
108#2361C2214yes—
109#2358C2214yescomplemented
110#2347C2214yescomplemented
111D4×C22⋊C4C2214yescomplemented
112#2337C2218yescomplemented
113#2330C2212yescomplemented
114#2328C2212yes—
115#2324C2214yescomplemented
116#2321C2218yes—
117#2320C2214yescomplemented
118#2319C2214yes—
119#2319C2214yescomplemented
120#2319C2214yescomplemented
121#2318C2214yescomplemented
122#2318C2214yescomplemented
123#2316C2212yescomplemented
124#2311C2212yes—
125#2309C2212yescomplemented
126C4×#127C2212yes—
127C4×#125C2212yescomplemented
128C4×#121C2214yescomplemented
129#2298C2214yescomplemented
130#2297C2211yescharacteristic
131#2297C2211yescharacteristic
132#2296C2211yescharacteristic, complemented
133#2296C2211yescharacteristic, complemented
134#2296C2212yescomplemented
135C2×#390C2212yescomplemented
136#2283C2214yescomplemented
137C4×#117C2211yescharacteristic, complemented
138C2×#376C2211yescharacteristic, complemented
139C22×#41C2311yescharacteristic
140C23×D4C2312yes—
141#535—216no—
142C2×#127C2314yes—
143C2×#127C2312yes—
144C2×#127C2312yes—
145C2×#126C2318yes—
146C2×#126C2318yes—
147C2×#125C2312yes—
148C2×#125C2312yes—
149C2×#125C2318yes—
150C2×#124C2314yes—
151C2×#123C2318yes—
152C2×#123C2318yes—
153C2×#123C2318yes—
154C2×#123C2318yes—
155C2×#121C2314yes—
156C2×#121C2314yes—
157C2×#121C2318yes—
158C2×#120C2314yes—
159C2×#120C2314yes—
160C2×#120C2318yes—
161C2×#120C2318yes—
162C4×#41—28no—
163C2×C4×Q8C2312yes—
164C2×C4×D4C2314yes—
165C2×C4×D4C2312yes—
166C2×C4×D4C2314yes—
167C2×C4×D4C2314yes—
168C2×C4×D4C2318yes—
169C2×C4×D4C2318yes—
170C2×C4×D4C2318yes—
171C2×#117C2312yes—
172C2×#117C2312yes—
173C2×#117C2311yescharacteristic
174C2×#117C2312yes—
175C2×#117C2311yescharacteristic
176C2×#117C2311yescharacteristic
177C22×C4⋊C4C2312yes—
178C22×C22⋊C4C2318yes—
179C22×C22⋊C4C2318yes—
180C22×C42C2312yes—
181C22×C42C2311yescharacteristic
182C22×C42C2311yescharacteristic
183C22×C42C2311yescharacteristic
184#400C2318yes—
185#400C2318yes—
186#400C2318yes—
187#400C2318yes—
188#400C2318yes—
189#399C2318yes—
190#399C2318yes—
191#399C2318yes—
192#399C2318yes—
193#399C2318yes—
194#398C2318yes—
195#398C2318yes—
196#398C2318yes—
197#398C2318yes—
198#398C2318yes—
199#398C2318yes—
200#397C2318yes—
201#397C2318yes—
202#397C2318yes—
203#397C2318yes—
204#397C2318yes—
205#397C2318yes—
206#397C2318yes—
207#397C2318yes—
208#396C2318yes—
209#396C2318yes—
210#396C2318yes—
211#396C2318yes—
212#396C2318yes—
213#396C2318yes—
214#394C2318yes—
215#394C2318yes—
216#394C2318yes—
217#394C2318yes—
218#394C2318yes—
219#394C2318yes—
220#394C2318yes—
221#394C2318yes—
222#394C2318yes—
223#394C2318yes—
224#394C2318yes—
225#394C2318yes—
226#394C2318yes—
227#394C2318yes—
228#394C2318yes—
229#392C2318yes—
230#392C2318yes—
231#392C2318yes—
232#391C2314yes—
233#391C2312yes—
234#391C2312yes—
235#390C2314yes—
236#390C2318yes—
237#390C2314yes—
238#390C2318yes—
239#390C2314yes—
240#390C2312yes—
241#390C2312yes—
242#390C2314yes—
243#390C2314yes—
244#390C2314yes—
245#390C2318yes—
246#390C2314yes—
247#390C2318yes—
248#390C2314yes—
249#390C2318yes—
250#390C2314yes—
251#390C2318yes—
252#389C2314yes—
253#389C2318yes—
254#389C2314yes—
255#389C2314yes—
256#389C2314yes—
257#389C2314yes—
258#389C2314yes—
259#389C2314yes—
260#389C2314yes—
261#389C2318yes—
262#389C2318yes—
263#389C2314yes—
264#389C2314yes—
265#388C2314yes—
266#388C2318yes—
267#388C2318yes—
268#388C2318yes—
269#388C2314yes—
270#388C2314yes—
271#388C2314yes—
272#388C2318yes—
273#388C2318yes—
274#388C2318yes—
275#388C2318yes—
276#388C2318yes—
277#388C2318yes—
278#388C2318yes—
279#388C2318yes—
280#388C2318yes—
281#388C2318yes—
282#388C2318yes—
283#388C2318yes—
284#388C2318yes—
285#388C2318yes—
286#388C2318yes—
287#388C2318yes—
288#388C2318yes—
289#388C2318yes—
290#388C2318yes—
291#387C2318yes—
292#387C2314yes—
293#387C2314yes—
294#387C2314yes—
295#387C2314yes—
296#387C2318yes—
297#387C2318yes—
298#387C2318yes—
299#387C2318yes—
300#387C2318yes—
301#386C2314yes—
302#386C2314yes—
303#386C2312yes—
304#386C2312yes—
305#386C2314yes—
306#386C2318yes—
307#386C2318yes—
308#386C2318yes—
309#386C2318yes—
310#386C2318yes—
311#386C2318yes—
312#386C2318yes—
313#386C2318yes—
314#386C2318yes—
315#386C2318yes—
316#386C2318yes—
317#386C2318yes—
318#385C2314yes—
319#385C2312yes—
320#385C2312yes—
321#385C2318yes—
322#385C2318yes—
323#385C2318yes—
324#385C2318yes—
325#385C2318yes—
326#385C2318yes—
327#385C2318yes—
328#384C2312yes—
329#384C2312yes—
330#383C2314yes—
331#383C2314yes—
332#383C2318yes—
333#382C2312yes—
334#382C2314yes—
335#382C2314yes—
336#382C2312yes—
337#382C2318yes—
338#381C2314yes—
339#381C2314yes—
340#381C2318yes—
341#381C2318yes—
342#380C2318yes—
343#380C2318yes—
344#380C2318yes—
345#380C2318yes—
346#380C2314yes—
347#380C2314yes—
348#380C2314yes—
349#380C2314yes—
350#380C2318yes—
351#380C2318yes—
352#379C2318yes—
353#379C2318yes—
354C4×C4⋊C4C2318yes—
355C4×C4⋊C4C2314yes—
356C4×C4⋊C4C2314yes—
357C4×C4⋊C4C2314yes—
358C4×C4⋊C4C2318yes—
359C4×C4⋊C4C2318yes—
360C4×C4⋊C4C2314yes—
361C4×C4⋊C4C2314yes—
362C4×C22⋊C4C2312yes—
363C4×C22⋊C4C2312yes—
364C4×C22⋊C4C2318yes—
365C4×C22⋊C4C2318yes—
366C4×C22⋊C4C2314yes—
367C4×C22⋊C4C2314yes—
368#376C2314yes—
369#376C2312yes—
370#376C2312yes—
371#376C2312yes—
372C2×#95C2314yes—
373C43C2312yes—
374C25C2414yes—
375C2×#41—42no—
376C2×#41—42no—
377C2×#41#4118yes—
378C22×Q8C2411yescharacteristic
379C22×D4—28no—
380C22×D4—44no—
381C22×D4—44no—
382C22×D4C2414yes—
383C22×D4C2418yes—
384C22×D4C2418yes—
385C22×D4C2414yes—
386C22×D4C2418yes—
387C22×D4C2418yes—
388C22×D4C2411yescharacteristic
389C22×D4C2412yes—
390C23×C4C2412yes—
391C23×C4C2411yescharacteristic
392C23×C4C2414yes—
393C23×C4C2412yes—
394C23×C4C2414yes—
395C23×C4C2418yes—
396C23×C4C2418yes—
397C23×C4C2412yes—
398C23×C4C2412yes—
399#127—216no—
400#127—44no—
401#127—44no—
402#126—88no—
403#126—88no—
404#125—44no—
405#125—44no—
406#125—88no—
407#124—216no—
408#123—88no—
409#123—88no—
410#123—88no—
411#123—88no—
412#121—216no—
413#121—216no—
414#121—88no—
415#120—216no—
416#120—216no—
417#120—88no—
418#120—88no—
419C4×Q8—28no—
420C4×D4—28no—
421C4×D4—216no—
422C4×D4—48no—
423C4×D4—48no—
424C4×D4—88no—
425C4×D4—88no—
426C4×D4—88no—
427#117—28no—
428#117—24no—
429#117—28no—
430#117—42no—
431#117—42no—
432#117—44no—
433C2×C4⋊C4—44no—
434C2×C4⋊C4C2414yes—
435C2×C4⋊C4C2414yes—
436C2×C4⋊C4C2412yes—
437C2×C4⋊C4C2414yes—
438C2×C4⋊C4C2414yes—
439C2×C4⋊C4C2414yes—
440C2×C4⋊C4C2412yes—
441C2×C4⋊C4C2412yes—
442C2×C4⋊C4C2418yes—
443C2×C4⋊C4C2418yes—
444C2×C4⋊C4C2418yes—
445C2×C4⋊C4C2414yes—
446C2×C4⋊C4C2414yes—
447C2×C4⋊C4C2418yes—
448C2×C4⋊C4C2418yes—
449C2×C4⋊C4C2418yes—
450C2×C4⋊C4C2418yes—
451C2×C4⋊C4C2418yes—
452C2×C4⋊C4C2414yes—
453C2×C4⋊C4C2418yes—
454C2×C4⋊C4C2418yes—
455C2×C4⋊C4C2418yes—
456C2×C4⋊C4C2418yes—
457C2×C4⋊C4C2414yes—
458C2×C22⋊C4—88no—
459C2×C22⋊C4—88no—
460C2×C22⋊C4C2414yes—
461C2×C22⋊C4C2412yes—
462C2×C22⋊C4C2414yes—
463C2×C22⋊C4C2418yes—
464C2×C22⋊C4C2418yes—
465C2×C22⋊C4C2414yes—
466C2×C22⋊C4C2418yes—
467C2×C22⋊C4C2418yes—
468C2×C22⋊C4C2418yes—
469C2×C22⋊C4C2418yes—
470C2×C22⋊C4C2418yes—
471C2×C22⋊C4C2418yes—
472C2×C22⋊C4C2418yes—
473C2×C22⋊C4C2411yescharacteristic
474C2×C22⋊C4C2411yescharacteristic
475C2×C22⋊C4C2412yes—
476C2×C22⋊C4C2414yes—
477C2×C22⋊C4C2414yes—
478C2×C22⋊C4C2418yes—
479C2×C22⋊C4C2418yes—
480C2×C22⋊C4C2418yes—
481C2×C22⋊C4C2418yes—
482C2×C22⋊C4C2418yes—
483C2×C22⋊C4C2418yes—
484C2×C22⋊C4C2414yes—
485C2×C22⋊C4C2414yes—
486C2×C22⋊C4C2418yes—
487C2×C22⋊C4C2418yes—
488C2×C22⋊C4C2418yes—
489C2×C22⋊C4C2418yes—
490C2×C22⋊C4C2418yes—
491C2×C22⋊C4C2418yes—
492C2×C22⋊C4C2418yes—
493C2×C42—28no—
494C2×C42—24no—
495C2×C42—42no—
496C2×C42—42no—
497C2×C42C2411yescharacteristic
498C2×C42C2412yes—
499C2×C42C2412yes—
500C2×C42C2414yes—
501C2×C42C2412yes—
502C2×C42C2412yes—
503C2×C42C2412yes—
504C2×C42C2414yes—
505C2×C42C2412yes—
506C2×C42C2411yescharacteristic
507C2×C42C2414yes—
508C2×C42C2414yes—
509C2×C42C2418yes—
510C2×C42C2418yes—
511C2×C42C2414yes—
512C2×C42C2412yes—
513C2×C42C2412yes—
514#95C2414yes—
515#95C2414yes—
516#95C2414yes—
517#95C2414yes—
518#95C2414yes—
519#95C2414yes—
520#95C2414yes—
521#95C2414yes—
522#95C2418yes—
523#95C2418yes—
524#95C2418yes—
525#95C2414yes—
526#95C2414yes—
527#95C2414yes—
528#95C2414yes—
529#95C2418yes—
530#95C2418yes—
531#95C2418yes—
532#95C2418yes—
533#95C2414yes—
534#95C2414yes—
535#95C2418yes—
536#95C2418yes—
537#95C2418yes—
538#95C2418yes—
539#95C2418yes—
540#95C2418yes—
541#95C2418yes—
542C24—28no—
543C24—44no—
544C24—48no—
545C24—48no—
546C24—44no—
547C24C2518yes—
548C24C2512yes—
549C24C2511yescharacteristic
550#41—416no—
551C2×Q8—41no—
552C2×Q8—41no—
553C2×Q8C2×#4114yes—
554C2×D4—216no—
555C2×D4—216no—
556C2×D4—28no—
557C2×D4—28no—
558C2×D4—28no—
559C2×D4—28no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4—42no—
563C2×D4—42no—
564C2×D4—48no—
565C2×D4—48no—
566C2×D4—48no—
567C2×D4—48no—
568C2×D4—48no—
569C2×D4—48no—
570C2×D4—48no—
571C2×D4—44no—
572C2×D4—44no—
573C2×D4—48no—
574C2×D4—48no—
575C2×D4—48no—
576C2×D4—816no—
577C2×D4C2×#4114yes—
578C2×D4C2×#4118yes—
579C22×C4—22no—
580C22×C4—22no—
581C22×C4—24no—
582C22×C4—24no—
583C22×C4—28no—
584C22×C4—24no—
585C22×C4—42no—
586C22×C4—42no—
587C22×C4—44no—
588C22×C4—44no—
589C22×C4—44no—
590C22×C4—44no—
591C22×C4—44no—
592C22×C4—48no—
593C22×C4—48no—
594C22×C4—48no—
595C22×C4—44no—
596C22×C4—48no—
597C22×C4—48no—
598C22×C4—48no—
599C22×C4—48no—
600C22×C4C2×#4118yes—
601C22×C4C2×#4114yes—
602C22×C4C2512yes—
603C22×C4C2512yes—
604C22×C4C2514yes—
605C22×C4C2514yes—
606C22×C4C2518yes—
607C22×C4C2514yes—
608C22×C4C2518yes—
609C22×C4C2512yes—
610C22×C4C2514yes—
611C22×C4C2518yes—
612C22×C4C2512yes—
613C22×C4C2512yes—
614C22×C4C2511yescharacteristic
615C22×C4C2511yescharacteristic
616C4⋊C4—28no—
617C4⋊C4—24no—
618C4⋊C4—28no—
619C4⋊C4—28no—
620C4⋊C4—28no—
621C4⋊C4—44no—
622C4⋊C4—42no—
623C4⋊C4—42no—
624C4⋊C4—48no—
625C4⋊C4—48no—
626C4⋊C4—48no—
627C4⋊C4—44no—
628C4⋊C4—48no—
629C4⋊C4—44no—
630C4⋊C4—48no—
631C4⋊C4—48no—
632C4⋊C4—48no—
633C4⋊C4—48no—
634C4⋊C4—48no—
635C4⋊C4—48no—
636C4⋊C4—44no—
637C4⋊C4—48no—
638C4⋊C4—48no—
639C4⋊C4—44no—
640C22⋊C4—28no—
641C22⋊C4—24no—
642C22⋊C4—28no—
643C22⋊C4—216no—
644C22⋊C4—216no—
645C22⋊C4—44no—
646C22⋊C4—48no—
647C22⋊C4—48no—
648C22⋊C4—48no—
649C22⋊C4—48no—
650C22⋊C4—48no—
651C22⋊C4—48no—
652C22⋊C4—48no—
653C22⋊C4—41no—
654C22⋊C4—42no—
655C22⋊C4—41no—
656C22⋊C4—44no—
657C22⋊C4—48no—
658C22⋊C4—48no—
659C22⋊C4—44no—
660C22⋊C4—48no—
661C22⋊C4—48no—
662C22⋊C4—48no—
663C22⋊C4—48no—
664C22⋊C4—44no—
665C22⋊C4—44no—
666C22⋊C4—48no—
667C22⋊C4—48no—
668C22⋊C4—48no—
669C22⋊C4—48no—
670C22⋊C4—48no—
671C22⋊C4—48no—
672C22⋊C4—48no—
673C42—22no—
674C42—22no—
675C42—24no—
676C42—28no—
677C42—24no—
678C42—28no—
679C42—24no—
680C42—24no—
681C42—24no—
682C42—24no—
683C42—42no—
684C42—42no—
685C42—44no—
686C42—44no—
687C42—48no—
688C42—48no—
689C42—44no—
690C23—21no—
691C23—21no—
692C23—22no—
693C23—22no—
694C23—24no—
695C23—24no—
696C23—24no—
697C23—28no—
698C23—28no—
699C23—28no—
700C23—28no—
701C23—28no—
702C23—28no—
703C23—28no—
704C23—88no—
705C23—816no—
706C23—816no—
707C23—164no—
708C23—164no—
709C23C22×#4114yes—
710C23C22×#4112yes—
711C23C2611yescharacteristic
712Q8—44no—
713D4—48no—
714D4—44no—
715D4—416no—
716D4—88no—
717D4—816no—
718D4—816no—
719D4—816no—
720D4—168no—
721C2×C4—21no—
722C2×C4—21no—
723C2×C4—22no—
724C2×C4—22no—
725C2×C4—216no—
726C2×C4—28no—
727C2×C4—22no—
728C2×C4—22no—
729C2×C4—24no—
730C2×C4—28no—
731C2×C4—24no—
732C2×C4—24no—
733C2×C4—22no—
734C2×C4—24no—
735C2×C4—22no—
736C2×C4—28no—
737C2×C4—28no—
738C2×C4—24no—
739C2×C4—24no—
740C2×C4—28no—
741C2×C4—24no—
742C2×C4—28no—
743C2×C4—28no—
744C2×C4—24no—
745C2×C4—24no—
746C2×C4—24no—
747C2×C4—24no—
748C2×C4—24no—
749C2×C4—28no—
750C2×C4—24no—
751C2×C4—24no—
752C2×C4—28no—
753C2×C4—24no—
754C2×C4—28no—
755C2×C4—24no—
756C2×C4—84no—
757C2×C4—88no—
758C2×C4—84no—
759C2×C4—84no—
760C2×C4—168no—
761C2×C4—168no—
762C2×C4—164no—
763C2×C4C22×#4114yes—
764C2×C4C22×#4112yes—
765C2×C4C22×#4112yes—
766C2×C4#58512yes—
767C2×C4#58512yes—
768C22—24no—
769C22—22no—
770C22—24no—
771C22—28no—
772C22—42no—
773C22—44no—
774C22—42no—
775C22—42no—
776C22—42no—
777C22—48no—
778C22—48no—
779C22—48no—
780C22—48no—
781C22—48no—
782C22—48no—
783C22—48no—
784C22—1616no—
785C22C23×#4111yescharacteristic
786C22C2×#58511yescharacteristic
787C22C2×#58511yescharacteristic
788C22H(7,𝔽2)14yes—
789C4—24no—
790C4—22no—
791C4—42no—
792C4—44no—
793C4—42no—
794C4—48no—
795C4—42no—
796C4—44no—
797C4—48no—
798C4—42no—
799C4—44no—
800C4—48no—
801C4—44no—
802C4#349114yes—
803C2—42no—
804C2—44no—
805C2—88no—
806C2C2×#349111yescharacteristic
807C2#6285812yes—
808C2#6288312yes—
809C2#6288512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#37297C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #48152C2semidirect
2. #48085C2semidirect
3. #47533C2semidirect
4. #46953C2semidirect
5. #39083C2semidirect
6. #39066C2semidirect
7. #38073C2semidirect
8. #38056C2semidirect
9. #37520C2semidirect
10. #37425C2semidirect
11. #37318C2semidirect
13. #35287C2semidirect
14. #35271C2semidirect
15. #35254C2semidirect
16. #34411C2semidirect
17. #34056C2semidirect
20. #2860C22semidirect
23. #2854C22semidirect
24. #2851C22semidirect
25. #2837C22semidirect
26. #2809C22semidirect
27. #2796C22semidirect
28. #2781C22semidirect
29. #2780C22semidirect
30. #2770C22semidirect
31. #2761C22semidirect
32. #2756C22semidirect
33. #2753C22semidirect
34. #2752C22semidirect
35. #2749C22semidirect
37. #2743C22semidirect
38. #2741C22semidirect
39. #2738C22semidirect
41. #2711C22semidirect
42. #2708C22semidirect
43. #2706C22semidirect
44. #2705C22semidirect
45. #2695C22semidirect
46. #2694C22semidirect
47. #2694C22semidirect
48. #2685C22semidirect
49. #2685C22semidirect
52. #2647C22semidirect
53. #2647C22semidirect
54. #2644C22semidirect
57. #2636C22semidirect
58. #2630C22semidirect
59. #2629C22semidirect
61. #2624C22semidirect
63. #2602C22semidirect
64. #2596C22semidirect
65. #2593C22semidirect
66. #2562C22semidirect
67. #2554C22semidirect
68. #2553C22semidirect
69. #2534C22semidirect
70. #2534C22semidirect
71. #2531C22semidirect
72. #2526C22semidirect
73. #2525C22semidirect
74. #2519C22semidirect
75. #2519C22semidirect
76. #2515C22semidirect
77. #2513C22semidirect
78. #2512C22semidirect
79. #2508C22semidirect
80. #2506C22semidirect
82. #2495C22semidirect
83. #2468C22semidirect
84. #2468C22semidirect
85. #2467C22semidirect
86. #2457C22semidirect
87. #2454C22semidirect
88. #2454C22semidirect
89. #2448C22semidirect
93. #2444C22semidirect
94. #2442C22semidirect
95. #2441C22semidirect
97. #2425C22semidirect
99. #2418C22semidirect
100. #2418C22semidirect
101. #2418C22semidirect
102. #2412C22semidirect
103. #2412C22semidirect
105. #2375C22semidirect
109. #2358C22semidirect
110. #2347C22semidirect
111. D4×C22⋊C4C22semidirect
112. #2337C22semidirect
113. #2330C22semidirect
115. #2324C22semidirect
117. #2320C22semidirect
119. #2319C22semidirect
120. #2319C22semidirect
121. #2318C22semidirect
122. #2318C22semidirect
123. #2316C22semidirect
125. #2309C22semidirect
127. C4×#125C22semidirect
128. C4×#121C22semidirect
129. #2298C22semidirect
132. #2296C22semidirect
133. #2296C22semidirect
134. #2296C22semidirect
135. C2×#390C22semidirect
136. #2283C22semidirect
137. C4×#117C22semidirect
138. C2×#376C22semidirect

Maximal subgroups

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

subgroupindex
#481522
#480852
#475332
#469532
#390832
#390662
#380732
#380562
#375202
#374252
#373182
#372972
#352872
#352712
#352542
#344112
#340562