Finite Group Databasebeta

← #7732044

Subgroups — #7732044

Order 512.

4448 conjugacy classes of subgroups.

The subgroup lattice has 1481 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#50197C214yesmaximal, complemented
2#50194C214yesmaximal, complemented
3#47460C214yesmaximal, complemented
4#47198C214yesmaximal, complemented
5#43933C214yesmaximal
6#43051C214yesmaximal, complemented
7#39546C212yesmaximal, complemented
8#39545C212yesmaximal, complemented
9#38207C212yesmaximal, complemented
10#38203C212yesmaximal, complemented
11#37958C212yesmaximal, complemented
12#37935C212yesmaximal, complemented
13#37885C212yesmaximal, complemented
14#37877C212yesmaximal, complemented
15#37853C212yesmaximal, complemented
16#37850C212yesmaximal, complemented
17#37477C211yesmaximal, characteristic, complemented
18#37403C212yesmaximal, complemented
19#37342C212yesmaximal, complemented
20#36307C212yesmaximal, complemented
21#36280C212yesmaximal, complemented
22#35652C212yesmaximal, complemented
23#35596C212yesmaximal, complemented
24#35311C211yesmaximal, characteristic, complemented
25#35010C211yesmaximal, characteristic
26C2×#2485C211yesmaximal, characteristic
27#34380C211yesmaximal, characteristic, complemented
28#34180C211yesmaximal, characteristic, complemented
29#34058C211yesmaximal, characteristic
30C22×C22⋊Q8C2211yescharacteristic
31C22×C4×D4C2211yescharacteristic
32C22×#117C2211yescharacteristic
33#2864C2212yescomplemented
34#2863C2212yescomplemented
35#2863C2212yescomplemented
36#2859C2212yescomplemented
37#2855C2212yes—
38#2855C2212yes—
39#2855C2212yes—
40#2848C2212yes—
41#2841C2214yescomplemented
42#2796C2214yes—
43#2793C2214yescomplemented
44#2792C2214yescomplemented
45#2791C2214yescomplemented
46#2786C2214yes—
47#2783C2214yescomplemented
48#2777C2214yescomplemented
49#2775C2214yescomplemented
50#2774C2214yescomplemented
51#2773C2214yescomplemented
52#2771C2214yescomplemented
53#2770C2214yescomplemented
54#2770C2214yescomplemented
55#2769C2214yescomplemented
56#2767C2214yescomplemented
57#2766C2214yescomplemented
58#2765C2214yescomplemented
59#2761C2214yes—
60#2759C2214yescomplemented
61#2758C2214yescomplemented
62#2757C2214yes—
63#2755C2214yescomplemented
64#2754C2214yescomplemented
65#2751C2214yes—
66#2747C2214yescomplemented
67#2747C2214yescomplemented
68#2747C2214yescomplemented
69#2745C2214yescomplemented
70#2744C2214yescomplemented
71#2742C2214yescomplemented
72#2740C2214yes—
73#2739C2214yescomplemented
74#2739C2214yescomplemented
75#2738C2214yescomplemented
76#2738C2214yescomplemented
77#2737C2214yes—
78#2723C2214yes—
79#2722C2214yescomplemented
80#2721C2214yescomplemented
81#2690C2214yescomplemented
82#2659C2212yes—
83#2659C2212yescomplemented
84#2646C2212yes—
85#2646C2212yescomplemented
86#2629C2212yescomplemented
87#2629C2212yescomplemented
88#2628C2212yescomplemented
89#2628C2212yescomplemented
90#2627C2212yes—
91#2626C2212yes—
92#2625C2212yescomplemented
93#2625C2212yescomplemented
94#2625C2212yescomplemented
95#2625C2212yescomplemented
96#2612C2214yescomplemented
97#2612C2214yescomplemented
98#2606C2214yescomplemented
99#2604C2214yescomplemented
100#2601C2214yes—
101#2599C2214yescomplemented
102#2597C2214yes—
103#2595C2214yes—
104#2594C2214yescomplemented
105#2590C2214yescomplemented
106#2590C2214yescomplemented
107#2588C2214yescomplemented
108#2586C2214yescomplemented
109#2585C2214yescomplemented
110#2585C2214yescomplemented
111#2585C2214yescomplemented
112#2579C2214yes—
113#2577C2214yescomplemented
114#2569C2214yes—
115#2564C2214yes—
116#2561C2214yes—
117#2560C2214yes—
118#2533C2214yescomplemented
119#2533C2214yescomplemented
120#2533C2214yescomplemented
121#2532C2214yescomplemented
122#2532C2214yescomplemented
123#2531C2214yes—
124#2530C2214yescomplemented
125#2529C2214yescomplemented
126#2528C2214yescomplemented
127#2528C2214yescomplemented
128#2527C2214yescomplemented
129#2526C2214yes—
130#2525C2214yescomplemented
131#2519C2214yescomplemented
132#2516C2214yes—
133#2515C2214yescomplemented
134#2514C2212yescomplemented
135#2511C2212yescomplemented
136#2509C2212yescomplemented
137#2508C2212yescomplemented
138#2507C2212yescomplemented
139#2507C2212yescomplemented
140#2505C2214yes—
141#2503C2212yes—
142#2502C2212yes—
143#2499C2212yescomplemented
144#2499C2212yescomplemented
145#2496C2212yescomplemented
146#2496C2212yescomplemented
147#2495C2212yescomplemented
148#2494C2214yescomplemented
149#2494C2212yescomplemented
150#2493C2214yes—
151#2493C2214yes—
152#2492C2212yescomplemented
153#2489C2212yescomplemented
154#2487C2212yes—
155#2485C2212yes—
156#2485C2214yes—
157#2485C2212yes—
158#2485C2212yes—
159#2485C2212yes—
160#2485C2214yes—
161#2484C2214yes—
162#2484C2214yescomplemented
163#2483C2214yes—
164#2482C2214yes—
165#2480C2214yes—
166#2480C2214yes—
167#2479C2214yes—
168#2475C2214yescomplemented
169#2473C2214yes—
170#2469C2214yescomplemented
171#2462C2214yescomplemented
172#2453C2212yescomplemented
173#2451C2212yescomplemented
174#2442C2212yes—
175#2442C2212yescomplemented
176#2440C2212yes—
177#2440C2212yescomplemented
178#2438C2214yes—
179#2438C2214yes—
180#2437C2214yes—
181#2423C2212yescomplemented
182#2421C2214yescomplemented
183#2421C2212yescomplemented
184#2417C2212yes—
185#2417C2212yes—
186#2409C2212yes—
187C2×#397C2212yes—
188C2×#394C2212yes—
189#2378C2214yescomplemented
190#2360C2214yes—
191#2360C2212yes—
192#2360C2212yes—
193#2347C2212yescomplemented
194#2346C2212yescomplemented
195#2345C2212yes—
196#2344C2212yes—
197#2344C2214yes—
198#2344C2212yescomplemented
199#2343C2214yes—
200#2343C2214yes—
201#2343C2214yescomplemented
202#2342C2214yes—
203#2342C2214yes—
204Q8×C22⋊C4C2212yescomplemented
205#2329C2212yes—
206#2329C2212yes—
207#2323C2212yescomplemented
208#2323C2212yescomplemented
209#2323C2212yescomplemented
210#2323C2212yescomplemented
211#2319C2212yes—
212#2319C2212yes—
213#2319C2212yes—
214#2319C2212yes—
215#2317C2211yescharacteristic, complemented
216#2317C2211yescharacteristic, complemented
217#2317C2211yescharacteristic, complemented
218#2317C2211yescharacteristic, complemented
219#2316C2211yescharacteristic
220#2316C2211yescharacteristic
221#2316C2212yescomplemented
222#2315C2212yes—
223#2314C2212yescomplemented
224#2314C2212yescomplemented
225#2314C2212yescomplemented
226#2314C2212yescomplemented
227#2313C2212yescomplemented
228#2312C2212yes—
229#2312C2211yescharacteristic
230#2312C2211yescharacteristic
231#2310C2211yescharacteristic, complemented
232#2310C2211yescharacteristic, complemented
233#2309C2212yes—
234#2308C2212yes—
235C4×C4⋊Q8C2212yescomplemented
236C4×#125C2212yescomplemented
237#2295C2212yescomplemented
238#2295C2212yescomplemented
239#2293C2212yes—
240#2293C2212yes—
241#2293C2212yes—
242#2293C2212yes—
243C2×#389C2211yescharacteristic
244C2×#389C2211yescharacteristic
245C2×#388C2212yes—
246C2×#387C2212yes—
247#2285C2212yes—
248#2283C2212yes—
249#2280C2211yescharacteristic
250#2280C2211yescharacteristic
251#2280C2212yes—
252C2×#380C2211yescharacteristic
253C2×#380C2211yescharacteristic
254C2×#380C2211yescharacteristic
255C2×#380C2211yescharacteristic
256#2274C2211yescharacteristic, complemented
257#2274C2211yescharacteristic, complemented
258C4×#117C2212yes—
259C23×Q8C2311yescharacteristic
260C23×D4C2311yescharacteristic
261C24×C4C2311yescharacteristic
262C24×C4C2311yescharacteristic
263C2×C4⋊Q8C2312yes—
264C2×#126C2314yes—
265C2×#126C2314yes—
266C2×#125C2312yes—
267C2×#125C2314yes—
268C2×C22⋊Q8—28no—
269C2×C22⋊Q8C2312yes—
270C2×C22⋊Q8C2312yes—
271C2×C22⋊Q8C2312yes—
272C2×C22⋊Q8C2312yes—
273C2×C22⋊Q8C2314yes—
274C2×C22⋊Q8C2312yes—
275C2×C22⋊Q8C2312yes—
276C2×C22⋊Q8C2314yes—
277C2×C4×Q8C2312yes—
278C2×C4×Q8C2312yes—
279C2×C4×Q8C2314yes—
280C2×C4×D4—28no—
281C2×C4×D4C2312yes—
282C2×C4×D4C2312yes—
283C2×C4×D4C2312yes—
284C2×C4×D4C2312yes—
285C2×#117—28no—
286C2×#117C2312yes—
287C2×#117C2311yescharacteristic
288C2×#117C2311yescharacteristic
289C2×#117C2312yes—
290C2×#117C2311yescharacteristic
291C2×#117C2312yes—
292C2×#117C2311yescharacteristic
293C2×#117C2312yes—
294C2×#117C2311yescharacteristic
295C2×#117C2311yescharacteristic
296C2×#117C2312yes—
297C2×#117C2312yes—
298C2×#117C2311yescharacteristic
299C2×#117C2311yescharacteristic
300C2×#117C2314yes—
301C2×#117C2314yes—
302C22×C4⋊C4C2312yes—
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2312yes—
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2312yes—
313C22×C22⋊C4C2312yes—
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2312yes—
317C22×C22⋊C4C2312yes—
318C22×C22⋊C4C2312yes—
319C22×C22⋊C4C2312yes—
320C22×C22⋊C4C2312yes—
321C22×C42C2312yes—
322C22×C42C2311yescharacteristic
323#401C2314yes—
324#401C2314yes—
325#400C2314yes—
326#400C2314yes—
327#400C2314yes—
328#400C2314yes—
329#400C2314yes—
330#400C2314yes—
331#400C2314yes—
332#400C2314yes—
333#400C2314yes—
334#400C2314yes—
335#400C2314yes—
336#400C2314yes—
337#400C2314yes—
338#400C2314yes—
339#400C2314yes—
340#400C2314yes—
341#400C2314yes—
342#400C2314yes—
343#400C2314yes—
344#400C2314yes—
345#400C2314yes—
346#400C2314yes—
347#399C2314yes—
348#399C2314yes—
349#399C2314yes—
350#399C2314yes—
351#398C2314yes—
352#398C2314yes—
353#398C2314yes—
354#398C2314yes—
355#398C2314yes—
356#398C2314yes—
357#398C2314yes—
358#398C2314yes—
359#398C2314yes—
360#398C2314yes—
361#398C2314yes—
362#398C2314yes—
363#398C2314yes—
364#398C2314yes—
365#398C2314yes—
366#398C2314yes—
367#398C2314yes—
368#398C2314yes—
369#398C2314yes—
370#398C2314yes—
371#398C2314yes—
372#398C2314yes—
373#397C2314yes—
374#397C2314yes—
375#397C2314yes—
376#397C2314yes—
377#397C2314yes—
378#397C2314yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2314yes—
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#396C2314yes—
392#396C2314yes—
393#396C2314yes—
394#396C2314yes—
395#396C2314yes—
396#396C2314yes—
397#395C2314yes—
398#395C2314yes—
399#395C2314yes—
400#395C2314yes—
401#395C2314yes—
402#395C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#393C2314yes—
408#393C2314yes—
409#393C2314yes—
410#393C2314yes—
411#391C2314yes—
412#391C2312yes—
413#391C2312yes—
414#391C2312yes—
415#391C2312yes—
416#391C2312yes—
417#391C2312yes—
418#391C2312yes—
419#391C2312yes—
420#391C2312yes—
421#391C2312yes—
422#391C2314yes—
423#391C2314yes—
424#391C2314yes—
425#391C2312yes—
426#391C2312yes—
427#391C2314yes—
428#390C2312yes—
429#390C2312yes—
430#390C2312yes—
431#390C2312yes—
432#390C2312yes—
433#390C2312yes—
434#390C2312yes—
435#390C2312yes—
436#389C2312yes—
437#389C2312yes—
438#389C2314yes—
439#389C2312yes—
440#389C2312yes—
441#389C2312yes—
442#389C2312yes—
443#389C2312yes—
444#389C2312yes—
445#389C2312yes—
446#389C2312yes—
447#389C2312yes—
448#389C2312yes—
449#389C2314yes—
450#389C2314yes—
451#389C2314yes—
452#389C2314yes—
453#389C2312yes—
454#389C2312yes—
455#389C2312yes—
456#389C2312yes—
457#389C2312yes—
458#389C2312yes—
459#389C2312yes—
460#389C2312yes—
461#389C2314yes—
462#389C2314yes—
463#389C2312yes—
464#389C2312yes—
465#389C2312yes—
466#389C2312yes—
467#389C2314yes—
468#389C2314yes—
469#389C2314yes—
470#389C2314yes—
471#389C2314yes—
472#389C2314yes—
473#389C2314yes—
474#389C2312yes—
475#389C2314yes—
476#389C2312yes—
477#389C2312yes—
478#389C2312yes—
479#388C2314yes—
480#388C2314yes—
481#388C2314yes—
482#388C2314yes—
483#388C2314yes—
484#388C2314yes—
485#388C2314yes—
486#388C2312yes—
487#388C2312yes—
488#388C2312yes—
489#388C2312yes—
490#388C2312yes—
491#388C2312yes—
492#388C2312yes—
493#388C2312yes—
494#388C2312yes—
495#388C2312yes—
496#388C2312yes—
497#388C2312yes—
498#388C2312yes—
499#388C2312yes—
500#388C2312yes—
501#388C2312yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#387C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#385C2314yes—
582#385C2314yes—
583#385C2314yes—
584#385C2314yes—
585#385C2314yes—
586#385C2314yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#385C2314yes—
599#384C2312yes—
600#384C2312yes—
601#384C2312yes—
602#384C2312yes—
603#384C2312yes—
604#383C2314yes—
605#383C2314yes—
606#383C2314yes—
607#383C2314yes—
608#383C2314yes—
609#382C2312yes—
610#382C2312yes—
611#382C2312yes—
612#382C2312yes—
613#382C2312yes—
614#382C2314yes—
615#382C2314yes—
616#382C2314yes—
617#382C2314yes—
618#381C2314yes—
619#381C2314yes—
620#381C2314yes—
621#381C2314yes—
622#381C2314yes—
623#381C2314yes—
624#381C2312yes—
625#381C2312yes—
626#381C2312yes—
627#381C2312yes—
628#381C2314yes—
629#380C2314yes—
630#380C2314yes—
631#380C2312yes—
632#380C2311yescharacteristic
633#380C2311yescharacteristic
634#380C2311yescharacteristic
635#380C2311yescharacteristic
636#380C2312yes—
637#380C2311yescharacteristic
638#380C2312yes—
639#380C2314yes—
640#380C2314yes—
641#380C2311yescharacteristic
642#380C2312yes—
643#380C2312yes—
644#380C2312yes—
645#380C2312yes—
646#380C2312yes—
647#380C2314yes—
648#380C2311yescharacteristic
649#380C2311yescharacteristic
650#380C2312yes—
651#380C2312yes—
652#380C2312yes—
653#380C2312yes—
654#380C2312yes—
655#380C2312yes—
656#380C2312yes—
657#380C2312yes—
658#380C2312yes—
659#380C2312yes—
660#380C2314yes—
661#380C2314yes—
662#380C2314yes—
663#379C2312yes—
664#379C2314yes—
665#379C2312yes—
666#379C2312yes—
667#379C2312yes—
668C4×C4⋊C4C2314yes—
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2314yes—
672C4×C4⋊C4C2314yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2314yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2312yes—
691C4×C22⋊C4C2312yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702#376C2312yes—
703#376C2312yes—
704#376C2314yes—
705#376C2314yes—
706#376C2314yes—
707C2×#95C2312yes—
708C2×#95C2312yes—
709C2×#95C2312yes—
710C2×#95C2312yes—
711C2×#95C2312yes—
712C2×#95C2312yes—
713C43C2312yes—
714C43C2312yes—
715C25C2411yescharacteristic
716C25C2411yescharacteristic
717C22×Q8—24no—
718C22×Q8—42no—
719C22×Q8—42no—
720C22×Q8C2412yes—
721C22×Q8C2412yes—
722C22×Q8C2414yes—
723C22×D4—24no—
724C22×D4—24no—
725C22×D4—42no—
726C22×D4C2412yes—
727C22×D4C2412yes—
728C23×C4—24no—
729C23×C4—42no—
730C23×C4—42no—
731C23×C4—42no—
732C23×C4—42no—
733C23×C4#4118yes—
734C23×C4C2412yes—
735C23×C4C2412yes—
736C23×C4C2411yescharacteristic
737C23×C4C2411yescharacteristic
738C23×C4C2411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2412yes—
741C23×C4C2412yes—
742C23×C4C2411yescharacteristic
743C23×C4C2412yes—
744C23×C4C2412yes—
745C23×C4C2411yescharacteristic
746C23×C4C2412yes—
747C23×C4C2412yes—
748C23×C4C2412yes—
749C23×C4C2412yes—
750C23×C4C2411yescharacteristic
751C23×C4C2411yescharacteristic
752C23×C4C2411yescharacteristic
753C4⋊Q8—44no—
754#126—84no—
755#126—84no—
756#125—44no—
757#125—84no—
758C22⋊Q8—28no—
759C22⋊Q8—28no—
760C22⋊Q8—28no—
761C22⋊Q8—28no—
762C22⋊Q8—48no—
763C22⋊Q8—44no—
764C22⋊Q8—44no—
765C22⋊Q8—84no—
766C4×Q8—44no—
767C4×Q8—44no—
768C4×Q8—84no—
769C4×D4—28no—
770C4×D4—28no—
771C4×D4—28no—
772C4×D4—28no—
773#117—24no—
774#117—24no—
775#117—24no—
776#117—24no—
777#117—28no—
778#117—28no—
779#117—28no—
780#117—42no—
781#117—42no—
782#117—44no—
783#117—44no—
784#117—42no—
785#117—42no—
786#117—48no—
787#117—44no—
788#117—84no—
789C2×C4⋊C4—24no—
790C2×C4⋊C4—24no—
791C2×C4⋊C4—24no—
792C2×C4⋊C4—24no—
793C2×C4⋊C4—28no—
794C2×C4⋊C4—28no—
795C2×C4⋊C4—42no—
796C2×C4⋊C4—42no—
797C2×C4⋊C4—42no—
798C2×C4⋊C4—42no—
799C2×C4⋊C4—82no—
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
803C2×C4⋊C4C2411yescharacteristic
804C2×C4⋊C4C2412yes—
805C2×C4⋊C4C2412yes—
806C2×C4⋊C4C2412yes—
807C2×C4⋊C4C2412yes—
808C2×C4⋊C4C2412yes—
809C2×C4⋊C4C2412yes—
810C2×C4⋊C4C2412yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2412yes—
814C2×C4⋊C4C2412yes—
815C2×C4⋊C4C2412yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2412yes—
819C2×C4⋊C4C2412yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C22⋊C4—28no—
866C2×C22⋊C4—24no—
867C2×C22⋊C4—28no—
868C2×C22⋊C4—24no—
869C2×C22⋊C4—44no—
870C2×C22⋊C4—44no—
871C2×C22⋊C4—82no—
872C2×C22⋊C4—82no—
873C2×C22⋊C4C2412yes—
874C2×C22⋊C4C2412yes—
875C2×C22⋊C4C2412yes—
876C2×C22⋊C4C2412yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2412yes—
879C2×C22⋊C4C2412yes—
880C2×C22⋊C4C2412yes—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2414yes—
915C2×C42—28no—
916C2×C42—24no—
917C2×C42C2412yes—
918C2×C42C2412yes—
919C2×C42C2412yes—
920C2×C42C2412yes—
921C2×C42C2412yes—
922C2×C42C2412yes—
923C2×C42C2412yes—
924C2×C42C2412yes—
925C2×C42C2412yes—
926C2×C42C2412yes—
927C2×C42C2412yes—
928C2×C42C2412yes—
929C2×C42C2414yes—
930C2×C42C2414yes—
931C2×C42C2412yes—
932C2×C42C2412yes—
933C2×C42C2414yes—
934C2×C42C2414yes—
935C2×C42C2412yes—
936C2×C42C2414yes—
937C2×C42C2414yes—
938C2×C42C2414yes—
939C2×C42C2412yes—
940C2×C42C2412yes—
941C2×C42C2412yes—
942C2×C42C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2412yes—
956#95C2412yes—
957#95C2412yes—
958#95C2412yes—
959#95C2412yes—
960#95C2412yes—
961#95C2412yes—
962#95C2412yes—
963#95C2412yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2412yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2412yes—
978#95C2412yes—
979#95C2412yes—
980#95C2412yes—
981#95C2412yes—
982#95C2412yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013C24—22no—
1014C24—22no—
1015C24—22no—
1016C24—22no—
1017C24—22no—
1018C24—41no—
1019C24—41no—
1020C24—41no—
1021C24—41no—
1022C24—41no—
1023C24—41no—
1024C24—41no—
1025C24—41no—
1026C24C2×#4114yes—
1027C24C2512yes—
1028C24C2511yescharacteristic
1029C24C2511yescharacteristic
1030C24C2511yescharacteristic
1031C2×Q8—24no—
1032C2×Q8—24no—
1033C2×Q8—24no—
1034C2×Q8—24no—
1035C2×Q8—44no—
1036C2×Q8—44no—
1037C2×Q8—44no—
1038C2×Q8—42no—
1039C2×Q8—42no—
1040C2×Q8—88no—
1041C2×D4—24no—
1042C2×D4—24no—
1043C2×D4—24no—
1044C2×D4—24no—
1045C2×D4—42no—
1046C2×D4—42no—
1047C2×D4—416no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—24no—
1057C22×C4—24no—
1058C22×C4—24no—
1059C22×C4—24no—
1060C22×C4—22no—
1061C22×C4—24no—
1062C22×C4—22no—
1063C22×C4—24no—
1064C22×C4—24no—
1065C22×C4—24no—
1066C22×C4—24no—
1067C22×C4—24no—
1068C22×C4—24no—
1069C22×C4—24no—
1070C22×C4—416no—
1071C22×C4—42no—
1072C22×C4—41no—
1073C22×C4—41no—
1074C22×C4—41no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—42no—
1079C22×C4—42no—
1080C22×C4—42no—
1081C22×C4—42no—
1082C22×C4—42no—
1083C22×C4—42no—
1084C22×C4—41no—
1085C22×C4—42no—
1086C22×C4—42no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—42no—
1099C22×C4—88no—
1100C22×C4C2×#4114yes—
1101C22×C4C2×#4114yes—
1102C22×C4C2×#4114yes—
1103C22×C4C2×#4114yes—
1104C22×C4C2×#4114yes—
1105C22×C4C2×#4114yes—
1106C22×C42−1+414yes—
1107C22×C4C2512yes—
1108C22×C4C2512yes—
1109C22×C4C2512yes—
1110C22×C4C2512yes—
1111C22×C4C2514yes—
1112C22×C4C2512yes—
1113C22×C4C2514yes—
1114C22×C4C2514yes—
1115C22×C4C2512yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2512yes—
1119C22×C4C2512yes—
1120C22×C4C2512yes—
1121C22×C4C2512yes—
1122C22×C4C2512yes—
1123C22×C4C2514yes—
1124C22×C4C2514yes—
1125C22×C4C2514yes—
1126C22×C4C2512yes—
1127C22×C4C2511yescharacteristic
1128C22×C4C2511yescharacteristic
1129C22×C4C2511yescharacteristic
1130C22×C4C2512yes—
1131C22×C4C2511yescharacteristic
1132C4⋊C4—24no—
1133C4⋊C4—24no—
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—24no—
1139C4⋊C4—24no—
1140C4⋊C4—24no—
1141C4⋊C4—24no—
1142C4⋊C4—28no—
1143C4⋊C4—28no—
1144C4⋊C4—28no—
1145C4⋊C4—28no—
1146C4⋊C4—24no—
1147C4⋊C4—24no—
1148C4⋊C4—24no—
1149C4⋊C4—24no—
1150C4⋊C4—24no—
1151C4⋊C4—24no—
1152C4⋊C4—42no—
1153C4⋊C4—42no—
1154C4⋊C4—42no—
1155C4⋊C4—42no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—42no—
1163C4⋊C4—42no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—42no—
1173C4⋊C4—42no—
1174C4⋊C4—42no—
1175C4⋊C4—42no—
1176C4⋊C4—44no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C22⋊C4—24no—
1198C22⋊C4—24no—
1199C22⋊C4—24no—
1200C22⋊C4—24no—
1201C22⋊C4—24no—
1202C22⋊C4—24no—
1203C22⋊C4—28no—
1204C22⋊C4—28no—
1205C22⋊C4—24no—
1206C22⋊C4—24no—
1207C22⋊C4—28no—
1208C22⋊C4—24no—
1209C22⋊C4—24no—
1210C22⋊C4—24no—
1211C22⋊C4—24no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4—44no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—44no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
1237C22⋊C4—42no—
1238C22⋊C4—44no—
1239C42—24no—
1240C42—24no—
1241C42—24no—
1242C42—24no—
1243C42—24no—
1244C42—24no—
1245C42—24no—
1246C42—24no—
1247C42—24no—
1248C42—24no—
1249C42—24no—
1250C42—24no—
1251C42—42no—
1252C42—44no—
1253C42—42no—
1254C42—42no—
1255C42—42no—
1256C42—44no—
1257C42—44no—
1258C42—44no—
1259C42—44no—
1260C42—44no—
1261C42—44no—
1262C42—42no—
1263C42—44no—
1264C42—42no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—28no—
1282C23—22no—
1283C23—22no—
1284C23—22no—
1285C23—22no—
1286C23—22no—
1287C23—22no—
1288C23—22no—
1289C23—44no—
1290C23—44no—
1291C23—44no—
1292C23—44no—
1293C23—44no—
1294C23—82no—
1295C23—82no—
1296C23—82no—
1297C23—82no—
1298C23—82no—
1299C23—82no—
1300C23—82no—
1301C23—82no—
1302C23C22×#4112yes—
1303C23C22×#4112yes—
1304C23C22×#4112yes—
1305C23C2×2−1+412yes—
1306C23#58512yes—
1307C23C2611yescharacteristic
1308Q8—48no—
1309Q8—84no—
1310Q8—88no—
1311D4—48no—
1312D4—48no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—28no—
1322C2×C4—28no—
1323C2×C4—28no—
1324C2×C4—28no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—24no—
1331C2×C4—22no—
1332C2×C4—24no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—24no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—24no—
1352C2×C4—24no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—24no—
1356C2×C4—24no—
1357C2×C4—24no—
1358C2×C4—24no—
1359C2×C4—22no—
1360C2×C4—24no—
1361C2×C4—24no—
1362C2×C4—24no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—24no—
1369C2×C4—22no—
1370C2×C4—24no—
1371C2×C4—22no—
1372C2×C4—24no—
1373C2×C4—22no—
1374C2×C4—24no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—24no—
1383C2×C4—24no—
1384C2×C4—22no—
1385C2×C4—44no—
1386C2×C4—44no—
1387C2×C4—44no—
1388C2×C4—48no—
1389C2×C4—48no—
1390C2×C4—48no—
1391C2×C4—84no—
1392C2×C4—82no—
1393C2×C4—84no—
1394C2×C4—84no—
1395C2×C4—84no—
1396C2×C4—82no—
1397C2×C4—84no—
1398C2×C4—162no—
1399C2×C4—162no—
1400C2×C4C22×#4112yes—
1401C2×C4C22×#4112yes—
1402C2×C4C22×#4112yes—
1403C2×C4C22×#4112yes—
1404C2×C4C2×2−1+414yes—
1405C2×C4#58512yes—
1406C2×C4#58512yes—
1407C22—22no—
1408C22—22no—
1409C22—22no—
1410C22—22no—
1411C22—22no—
1412C22—22no—
1413C22—22no—
1414C22—22no—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—42no—
1428C22—42no—
1429C22—42no—
1430C22—42no—
1431C22—42no—
1432C22—42no—
1433C22—42no—
1434C22—88no—
1435C22—88no—
1436C22#349514yes—
1437C22C23×#4111yescharacteristic
1438C22C22×2−1+411yescharacteristic
1439C22C2×#58511yescharacteristic
1440C22C2×#58511yescharacteristic
1441C22C2×#58511yescharacteristic
1442C22H(7,𝔽2)11yescharacteristic
1443C222−1+611yescharacteristic
1444C4—22no—
1445C4—22no—
1446C4—22no—
1447C4—24no—
1448C4—42no—
1449C4—44no—
1450C4—42no—
1451C4—42no—
1452C4—44no—
1453C4—42no—
1454C4—42no—
1455C4—42no—
1456C4—42no—
1457C4—42no—
1458C4—44no—
1459C4—42no—
1460C4—42no—
1461C4—42no—
1462C4—42no—
1463C4—44no—
1464C4—42no—
1465C4—44no—
1466C4—44no—
1467C4—42no—
1468C4#349114yes—
1469C2—24no—
1470C2—42no—
1471C2—42no—
1472C2—82no—
1473C2C2×#349111yescharacteristic
1474C2C2×#349511yescharacteristic
1475C2#6285611yescharacteristic
1476C2#6292911yescharacteristic
1477C2#6293211yescharacteristic
1478C2#6293411yescharacteristic
1479C2#6293511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #50197C2semidirect
2. #50194C2semidirect
3. #47460C2semidirect
4. #47198C2semidirect
6. #43051C2semidirect
7. #39546C2semidirect
8. #39545C2semidirect
9. #38207C2semidirect
10. #38203C2semidirect
11. #37958C2semidirect
12. #37935C2semidirect
13. #37885C2semidirect
14. #37877C2semidirect
15. #37853C2semidirect
16. #37850C2semidirect
17. #37477C2semidirect
18. #37403C2semidirect
19. #37342C2semidirect
20. #36307C2semidirect
21. #36280C2semidirect
22. #35652C2semidirect
23. #35596C2semidirect
24. #35311C2semidirect
27. #34380C2semidirect
28. #34180C2semidirect
33. #2864C22semidirect
34. #2863C22semidirect
35. #2863C22semidirect
36. #2859C22semidirect
41. #2841C22semidirect
43. #2793C22semidirect
44. #2792C22semidirect
45. #2791C22semidirect
47. #2783C22semidirect
48. #2777C22semidirect
49. #2775C22semidirect
50. #2774C22semidirect
51. #2773C22semidirect
52. #2771C22semidirect
53. #2770C22semidirect
54. #2770C22semidirect
55. #2769C22semidirect
56. #2767C22semidirect
57. #2766C22semidirect
58. #2765C22semidirect
60. #2759C22semidirect
61. #2758C22semidirect
63. #2755C22semidirect
64. #2754C22semidirect
66. #2747C22semidirect
67. #2747C22semidirect
68. #2747C22semidirect
69. #2745C22semidirect
70. #2744C22semidirect
71. #2742C22semidirect
73. #2739C22semidirect
74. #2739C22semidirect
75. #2738C22semidirect
76. #2738C22semidirect
79. #2722C22semidirect
80. #2721C22semidirect
81. #2690C22semidirect
83. #2659C22semidirect
85. #2646C22semidirect
86. #2629C22semidirect
87. #2629C22semidirect
88. #2628C22semidirect
89. #2628C22semidirect
92. #2625C22semidirect
93. #2625C22semidirect
94. #2625C22semidirect
95. #2625C22semidirect
96. #2612C22semidirect
97. #2612C22semidirect
98. #2606C22semidirect
99. #2604C22semidirect
101. #2599C22semidirect
104. #2594C22semidirect
105. #2590C22semidirect
106. #2590C22semidirect
107. #2588C22semidirect
108. #2586C22semidirect
109. #2585C22semidirect
110. #2585C22semidirect
111. #2585C22semidirect
113. #2577C22semidirect
118. #2533C22semidirect
119. #2533C22semidirect
120. #2533C22semidirect
121. #2532C22semidirect
122. #2532C22semidirect
124. #2530C22semidirect
125. #2529C22semidirect
126. #2528C22semidirect
127. #2528C22semidirect
128. #2527C22semidirect
130. #2525C22semidirect
131. #2519C22semidirect
133. #2515C22semidirect
134. #2514C22semidirect
135. #2511C22semidirect
136. #2509C22semidirect
137. #2508C22semidirect
138. #2507C22semidirect
139. #2507C22semidirect
143. #2499C22semidirect
144. #2499C22semidirect
145. #2496C22semidirect
146. #2496C22semidirect
147. #2495C22semidirect
148. #2494C22semidirect
149. #2494C22semidirect
152. #2492C22semidirect
153. #2489C22semidirect
162. #2484C22semidirect
168. #2475C22semidirect
170. #2469C22semidirect
171. #2462C22semidirect
172. #2453C22semidirect
173. #2451C22semidirect
175. #2442C22semidirect
177. #2440C22semidirect
181. #2423C22semidirect
182. #2421C22semidirect
183. #2421C22semidirect
189. #2378C22semidirect
193. #2347C22semidirect
194. #2346C22semidirect
198. #2344C22semidirect
201. #2343C22semidirect
204. Q8×C22⋊C4C22semidirect
207. #2323C22semidirect
208. #2323C22semidirect
209. #2323C22semidirect
210. #2323C22semidirect
215. #2317C22semidirect
216. #2317C22semidirect
217. #2317C22semidirect
218. #2317C22semidirect
221. #2316C22semidirect
223. #2314C22semidirect
224. #2314C22semidirect
225. #2314C22semidirect
226. #2314C22semidirect
227. #2313C22semidirect
231. #2310C22semidirect
232. #2310C22semidirect
235. C4×C4⋊Q8C22semidirect
236. C4×#125C22semidirect
237. #2295C22semidirect
238. #2295C22semidirect
256. #2274C22semidirect
257. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#501972
#501942
#474602
#471982
#439332
#430512
#395462
#395452
#382072
#382032
#379582
#379352
#378852
#378772
#378532
#378502
#374772
#374032
#373422
#363072
#362802
#356522
#355962
#353112
#350102
C2×#24852
#343802
#341802
#340582