Finite Group Databasebeta

← #7657500

Subgroups — #7657500

Order 512.

4584 conjugacy classes of subgroups.

The subgroup lattice has 1442 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41620C214yesmaximal, complemented
2#41608C214yesmaximal, complemented
3#41391C212yesmaximal, complemented
4#41388C212yesmaximal, complemented
5#41128C214yesmaximal, complemented
6#41119C214yesmaximal, complemented
7#40639C214yesmaximal, complemented
8#39076C212yesmaximal, complemented
9#39071C212yesmaximal, complemented
10#38260C212yesmaximal, complemented
11#38255C212yesmaximal, complemented
12#38066C212yesmaximal, complemented
13#38054C212yesmaximal, complemented
14#37524C212yesmaximal, complemented
15#37521C212yesmaximal, complemented
16#37476C211yesmaximal, characteristic, complemented
17#37451C211yesmaximal, characteristic
18#36293C212yesmaximal, complemented
19#36280C212yesmaximal, complemented
20#36013C212yesmaximal, complemented
21#35839C212yesmaximal, complemented
22#35765C214yesmaximal, complemented
23#35311C211yesmaximal, characteristic, complemented
24#35269C212yesmaximal, complemented
25#34619C212yesmaximal, complemented
26C2×#2624C211yesmaximal, characteristic
27#34246C211yesmaximal, characteristic
28#34212C211yesmaximal, characteristic, complemented
29#34109C211yesmaximal, characteristic, complemented
30C22×C22⋊Q8C2211yescharacteristic
31C22×#121C2211yescharacteristic
32C22×#117C2211yescharacteristic
33#2863C2212yescomplemented
34#2861C2212yescomplemented
35#2860C2212yescomplemented
36#2859C2212yescomplemented
37#2855C2212yes—
38#2855C2212yes—
39#2841C2214yescomplemented
40#2838C2214yescomplemented
41#2836C2214yescomplemented
42#2827C2214yescomplemented
43#2827C2214yescomplemented
44#2816C2212yes—
45#2816C2212yes—
46#2798C2214yescomplemented
47#2798C2214yescomplemented
48#2776C2214yescomplemented
49#2773C2214yescomplemented
50#2769C2214yescomplemented
51#2766C2214yescomplemented
52#2761C2214yescomplemented
53#2759C2214yescomplemented
54#2757C2214yescomplemented
55#2754C2214yescomplemented
56#2754C2214yescomplemented
57#2746C2214yescomplemented
58#2743C2214yescomplemented
59#2740C2214yescomplemented
60#2737C2214yescomplemented
61#2737C2214yescomplemented
62#2723C2214yescomplemented
63#2721C2214yescomplemented
64#2721C2214yescomplemented
65#2719C2214yescomplemented
66#2707C2214yescomplemented
67#2695C2214yescomplemented
68#2694C2214yescomplemented
69#2687C2214yescomplemented
70#2667C2212yescomplemented
71#2667C2214yescomplemented
72#2665C2212yescomplemented
73#2664C2214yescomplemented
74#2654C2214yescomplemented
75#2654C2214yescomplemented
76#2653C2214yescomplemented
77#2653C2214yescomplemented
78#2652C2214yescomplemented
79#2650C2214yescomplemented
80#2649C2214yescomplemented
81#2649C2214yescomplemented
82#2647C2212yescomplemented
83#2645C2212yescomplemented
84#2644C2212yescomplemented
85#2640C2212yescomplemented
86#2638C2214yescomplemented
87#2633C2214yescomplemented
88#2629C2212yescomplemented
89#2628C2212yescomplemented
90#2626C2212yes—
91#2626C2212yes—
92#2626C2214yes—
93#2625C2212yescomplemented
94#2625C2212yescomplemented
95#2624C2211yescharacteristic
96#2624C2212yes—
97#2624C2212yes—
98#2624C2212yes—
99#2624C2211yescharacteristic
100#2624C2211yescharacteristic
101#2624C2212yes—
102#2624C2214yes—
103#2624C2211yescharacteristic
104#2620C2212yes—
105#2620C2212yes—
106#2618C2214yes—
107#2612C2214yescomplemented
108#2607C2214yescomplemented
109#2606C2214yescomplemented
110#2597C2214yescomplemented
111#2589C2214yescomplemented
112#2585C2214yescomplemented
113#2576C2214yescomplemented
114#2575C2214yescomplemented
115#2573C2214yescomplemented
116#2572C2214yescomplemented
117#2569C2212yes—
118#2561C2214yes—
119#2558C2214yescomplemented
120#2556C2214yescomplemented
121#2553C2214yescomplemented
122#2549C2212yes—
123#2531C2214yescomplemented
124#2527C2214yescomplemented
125#2526C2214yescomplemented
126#2526C2214yescomplemented
127#2525C2214yescomplemented
128#2523C2214yescomplemented
129#2522C2214yescomplemented
130#2519C2214yescomplemented
131#2518C2214yescomplemented
132#2518C2214yescomplemented
133#2517C2214yescomplemented
134#2516C2214yescomplemented
135#2515C2214yescomplemented
136#2514C2212yescomplemented
137#2513C2212yescomplemented
138#2512C2212yescomplemented
139#2511C2212yescomplemented
140#2507C2212yescomplemented
141#2507C2212yescomplemented
142#2506C2212yescomplemented
143#2506C2212yescomplemented
144#2503C2212yes—
145#2502C2212yes—
146#2502C2212yes—
147#2501C2211yescharacteristic
148#2501C2211yescharacteristic
149#2499C2214yescomplemented
150#2493C2214yes—
151#2493C2214yes—
152#2484C2212yescomplemented
153#2484C2212yescomplemented
154#2483C2214yes—
155#2483C2214yes—
156#2482C2214yes—
157#2480C2214yes—
158#2480C2214yes—
159#2479C2214yescomplemented
160#2473C2214yes—
161#2473C2214yes—
162#2470C2214yescomplemented
163#2466C2214yescomplemented
164#2466C2214yescomplemented
165#2462C2214yescomplemented
166#2460C2214yescomplemented
167#2460C2214yescomplemented
168#2458C2214yescomplemented
169#2454C2212yescomplemented
170#2453C2212yescomplemented
171#2452C2212yescomplemented
172#2451C2212yescomplemented
173#2448C2212yescomplemented
174#2448C2212yescomplemented
175#2447C2212yescomplemented
176#2447C2212yescomplemented
177#2442C2212yes—
178#2442C2214yes—
179#2441C2212yescomplemented
180#2441C2214yescomplemented
181#2440C2212yes—
182#2439C2212yescomplemented
183#2438C2214yes—
184#2437C2214yes—
185#2436C2211yescharacteristic
186#2436C2211yescharacteristic
187#2435C2212yes—
188#2423C2214yescomplemented
189#2405C2214yes—
190#2401C2214yescomplemented
191#2398C2214yescomplemented
192#2396C2214yescomplemented
193#2395C2214yescomplemented
194C2×#399C2212yes—
195C2×#397C2212yes—
196C2×#394C2214yes—
197#2368C2212yes—
198#2368C2212yes—
199#2364C2214yes—
200#2363C2212yes—
201#2363C2212yes—
202#2360C2212yes—
203#2360C2212yes—
204#2360C2214yes—
205#2347C2212yescomplemented
206#2346C2212yescomplemented
207#2345C2211yescharacteristic
208#2345C2211yescharacteristic
209#2345C2211yescharacteristic
210#2345C2211yescharacteristic
211#2345C2212yescomplemented
212#2345C2214yescomplemented
213#2344C2211yescharacteristic
214#2344C2211yescharacteristic
215#2343C2214yes—
216#2343C2212yescomplemented
217#2343C2212yescomplemented
218#2342C2212yes—
219#2342C2212yes—
220#2342C2214yes—
221#2342C2214yes—
222Q8×C22⋊C4C2212yescomplemented
223D4×C22⋊C4C2211yescharacteristic
224D4×C22⋊C4C2212yes—
225D4×C22⋊C4C2212yes—
226D4×C22⋊C4C2211yescharacteristic
227#2333C2214yes—
228#2330C2212yescomplemented
229#2329C2214yescomplemented
230#2326C2212yescomplemented
231#2320C2212yescomplemented
232#2319C2212yescomplemented
233#2317C2212yescomplemented
234#2315C2212yes—
235#2312C2212yes—
236#2310C2212yescomplemented
237C4×C4⋊Q8C2212yescomplemented
238C4×#124C2212yescomplemented
239C4×C22⋊Q8C2212yescomplemented
240C4×C22⋊Q8C2212yescomplemented
241C4×#121C2212yes—
242C4×#121C2212yes—
243#2298C2212yescomplemented
244#2298C2212yescomplemented
245#2296C2212yescomplemented
246#2295C2212yescomplemented
247#2293C2212yescomplemented
248C2×#390C2212yes—
249C2×#389C2212yes—
250#2283C2212yes—
251#2280C2211yescharacteristic
252#2280C2211yescharacteristic
253C2×#380C2211yescharacteristic
254#2273C2212yes—
255#2273C2212yes—
256C4×#117C2212yes—
257C4×#117C2212yescomplemented
258C2×C4×C22⋊C4C2211yescharacteristic
259C23×Q8C2311yescharacteristic
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C24×C4C2311yescharacteristic
263C2×C4⋊Q8C2312yes—
264C2×#126C2314yes—
265C2×#126C2314yes—
266C2×#125C2312yes—
267C2×#125C2314yes—
268C2×#125C2314yes—
269C2×#125C2314yes—
270C2×#124C2312yes—
271C2×#124C2312yes—
272C2×#123C2314yes—
273C2×#123C2314yes—
274C2×C22⋊Q8—28no—
275C2×C22⋊Q8C2312yes—
276C2×C22⋊Q8C2312yes—
277C2×C22⋊Q8C2312yes—
278C2×C22⋊Q8C2312yes—
279C2×C22⋊Q8C2314yes—
280C2×C22⋊Q8C2314yes—
281C2×#121—28no—
282C2×#121C2312yes—
283C2×#121C2312yes—
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×C4×Q8C2312yes—
289C2×C4×Q8C2312yes—
290C2×C4×Q8C2314yes—
291C2×C4×D4C2312yes—
292C2×C4×D4C2312yes—
293C2×C4×D4C2314yes—
294C2×C4×D4C2314yes—
295C2×#117—28no—
296C2×#117C2312yes—
297C2×#117C2312yes—
298C2×#117C2312yes—
299C2×#117C2311yescharacteristic
300C2×#117C2311yescharacteristic
301C2×#117C2311yescharacteristic
302C2×#117C2311yescharacteristic
303C2×#117C2312yes—
304C2×#117C2312yes—
305C2×#117C2312yes—
306C2×#117C2314yes—
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2312yes—
312C22×C4⋊C4C2312yes—
313C22×C4⋊C4C2314yes—
314C22×C22⋊C4C2312yes—
315C22×C22⋊C4C2312yes—
316C22×C22⋊C4C2312yes—
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊C4C2312yes—
319C22×C22⋊C4C2314yes—
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2312yes—
322C22×C22⋊C4C2312yes—
323C22×C22⋊C4C2314yes—
324C22×C42C2312yes—
325C22×C42C2312yes—
326#401C2314yes—
327#401C2314yes—
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#399C2312yes—
344#399C2312yes—
345#399C2312yes—
346#399C2312yes—
347#399C2314yes—
348#399C2314yes—
349#399C2312yes—
350#399C2314yes—
351#399C2314yes—
352#399C2314yes—
353#399C2314yes—
354#399C2312yes—
355#399C2312yes—
356#399C2312yes—
357#399C2314yes—
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#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#397C2314yes—
377#397C2314yes—
378#397C2314yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2314yes—
383#397C2314yes—
384#397C2312yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2312yes—
392#397C2312yes—
393#397C2314yes—
394#397C2312yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#396C2314yes—
401#396C2314yes—
402#396C2314yes—
403#396C2314yes—
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#395C2314yes—
413#395C2314yes—
414#395C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#393C2312yes—
430#393C2312yes—
431#393C2312yes—
432#393C2312yes—
433#393C2314yes—
434#393C2314yes—
435#393C2314yes—
436#393C2314yes—
437#393C2314yes—
438#391C2314yes—
439#391C2312yes—
440#391C2312yes—
441#391C2314yes—
442#391C2312yes—
443#391C2312yes—
444#391C2314yes—
445#391C2314yes—
446#391C2312yes—
447#391C2314yes—
448#391C2314yes—
449#391C2312yes—
450#391C2312yes—
451#391C2314yes—
452#391C2312yes—
453#390C2312yes—
454#390C2312yes—
455#390C2314yes—
456#390C2314yes—
457#390C2312yes—
458#390C2312yes—
459#390C2314yes—
460#390C2312yes—
461#390C2312yes—
462#390C2312yes—
463#390C2312yes—
464#390C2314yes—
465#389C2312yes—
466#389C2314yes—
467#389C2312yes—
468#389C2312yes—
469#389C2312yes—
470#389C2312yes—
471#389C2312yes—
472#389C2312yes—
473#389C2312yes—
474#389C2312yes—
475#389C2312yes—
476#389C2312yes—
477#389C2314yes—
478#389C2314yes—
479#389C2314yes—
480#389C2314yes—
481#389C2314yes—
482#389C2314yes—
483#389C2314yes—
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2314yes—
490#389C2314yes—
491#389C2314yes—
492#389C2314yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2312yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2312yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2312yes—
520#388C2312yes—
521#388C2312yes—
522#388C2312yes—
523#388C2312yes—
524#388C2312yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2312yes—
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#387C2312yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2312yes—
558#387C2312yes—
559#387C2312yes—
560#387C2312yes—
561#387C2312yes—
562#387C2312yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#385C2314yes—
581#385C2314yes—
582#385C2314yes—
583#385C2314yes—
584#385C2314yes—
585#385C2312yes—
586#385C2312yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2312yes—
596#385C2312yes—
597#385C2314yes—
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#384C2312yes—
603#384C2314yes—
604#384C2312yes—
605#384C2312yes—
606#383C2314yes—
607#383C2314yes—
608#383C2314yes—
609#383C2312yes—
610#383C2312yes—
611#382C2314yes—
612#382C2314yes—
613#382C2314yes—
614#382C2312yes—
615#382C2312yes—
616#382C2312yes—
617#381C2311yescharacteristic
618#381C2311yescharacteristic
619#381C2312yes—
620#381C2314yes—
621#381C2314yes—
622#381C2314yes—
623#381C2314yes—
624#381C2314yes—
625#381C2314yes—
626#381C2312yes—
627#381C2314yes—
628#381C2312yes—
629#380C2312yes—
630#380C2312yes—
631#380C2311yescharacteristic
632#380C2314yes—
633#380C2314yes—
634#380C2314yes—
635#380C2314yes—
636#380C2312yes—
637#380C2312yes—
638#380C2312yes—
639#380C2311yescharacteristic
640#380C2311yescharacteristic
641#380C2312yes—
642#380C2312yes—
643#380C2312yes—
644#380C2314yes—
645#380C2311yescharacteristic
646#380C2311yescharacteristic
647#380C2311yescharacteristic
648#380C2312yes—
649#379C2312yes—
650#379C2314yes—
651#379C2312yes—
652#379C2312yes—
653#379C2312yes—
654#379C2314yes—
655C4×C4⋊C4C2314yes—
656C4×C4⋊C4C2312yes—
657C4×C4⋊C4C2312yes—
658C4×C4⋊C4C2314yes—
659C4×C4⋊C4C2312yes—
660C4×C4⋊C4C2312yes—
661C4×C4⋊C4C2312yes—
662C4×C4⋊C4C2314yes—
663C4×C4⋊C4C2312yes—
664C4×C4⋊C4C2312yes—
665C4×C4⋊C4C2312yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2314yes—
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2312yes—
673C4×C22⋊C4C2314yes—
674C4×C22⋊C4C2311yescharacteristic
675C4×C22⋊C4C2312yes—
676C4×C22⋊C4C2314yes—
677C4×C22⋊C4C2314yes—
678C4×C22⋊C4C2314yes—
679C4×C22⋊C4C2314yes—
680C4×C22⋊C4C2314yes—
681C4×C22⋊C4C2314yes—
682C4×C22⋊C4C2314yes—
683C4×C22⋊C4C2312yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2312yes—
686C4×C22⋊C4C2311yescharacteristic
687C4×C22⋊C4C2311yescharacteristic
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2312yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2312yes—
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2311yescharacteristic
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2311yescharacteristic
704C4×C22⋊C4C2311yescharacteristic
705#376C2312yes—
706#376C2312yes—
707#376C2314yes—
708#376C2312yes—
709#376C2312yes—
710C2×#95C2312yes—
711C2×#95C2312yes—
712C2×#95C2314yes—
713C43C2312yes—
714C43C2312yes—
715C25C2412yes—
716C25C2411yescharacteristic
717C22×Q8—24no—
718C22×Q8—44no—
719C22×Q8C2412yes—
720C22×Q8C2412yes—
721C22×Q8C2414yes—
722C22×D4—28no—
723C22×D4—24no—
724C22×D4—44no—
725C22×D4—84no—
726C22×D4C2411yescharacteristic
727C22×D4C2411yescharacteristic
728C22×D4C2412yes—
729C22×D4C2412yes—
730C22×D4C2412yes—
731C22×D4C2412yes—
732C22×D4C2412yes—
733C23×C4—44no—
734C23×C4#4118yes—
735C23×C4C2412yes—
736C23×C4C2411yescharacteristic
737C23×C4C2411yescharacteristic
738C23×C4C2411yescharacteristic
739C23×C4C2412yes—
740C23×C4C2414yes—
741C23×C4C2412yes—
742C23×C4C2412yes—
743C23×C4C2412yes—
744C23×C4C2414yes—
745C23×C4C2412yes—
746C23×C4C2414yes—
747C23×C4C2412yes—
748C23×C4C2411yescharacteristic
749C23×C4C2411yescharacteristic
750C23×C4C2411yescharacteristic
751C4⋊Q8—44no—
752#126—84no—
753#126—84no—
754#125—44no—
755#125—84no—
756#125—84no—
757#125—84no—
758#124—44no—
759#124—44no—
760#123—84no—
761#123—84no—
762C22⋊Q8—28no—
763C22⋊Q8—28no—
764C22⋊Q8—28no—
765C22⋊Q8—28no—
766C22⋊Q8—48no—
767C22⋊Q8—84no—
768#121—24no—
769#121—24no—
770#121—24no—
771#121—24no—
772#121—28no—
773#121—28no—
774C4×Q8—44no—
775C4×Q8—44no—
776C4×Q8—84no—
777C4×D4—44no—
778C4×D4—44no—
779C4×D4—84no—
780C4×D4—84no—
781#117—28no—
782#117—24no—
783#117—24no—
784#117—24no—
785#117—24no—
786#117—28no—
787#117—28no—
788#117—44no—
789#117—44no—
790#117—44no—
791#117—84no—
792C2×C4⋊C4—24no—
793C2×C4⋊C4—24no—
794C2×C4⋊C4—24no—
795C2×C4⋊C4—24no—
796C2×C4⋊C4—28no—
797C2×C4⋊C4—44no—
798C2×C4⋊C4—84no—
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2412yes—
802C2×C4⋊C4C2412yes—
803C2×C4⋊C4C2411yescharacteristic
804C2×C4⋊C4C2411yescharacteristic
805C2×C4⋊C4C2412yes—
806C2×C4⋊C4C2412yes—
807C2×C4⋊C4C2411yescharacteristic
808C2×C4⋊C4C2411yescharacteristic
809C2×C4⋊C4C2412yes—
810C2×C4⋊C4C2412yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2412yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2412yes—
815C2×C4⋊C4C2412yes—
816C2×C4⋊C4C2412yes—
817C2×C4⋊C4C2412yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2412yes—
828C2×C4⋊C4C2412yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2414yes—
854C2×C22⋊C4—28no—
855C2×C22⋊C4—28no—
856C2×C22⋊C4—28no—
857C2×C22⋊C4—24no—
858C2×C22⋊C4—28no—
859C2×C22⋊C4—42no—
860C2×C22⋊C4—44no—
861C2×C22⋊C4—48no—
862C2×C22⋊C4—44no—
863C2×C22⋊C4—84no—
864C2×C22⋊C4C2411yescharacteristic
865C2×C22⋊C4C2411yescharacteristic
866C2×C22⋊C4C2412yes—
867C2×C22⋊C4C2412yes—
868C2×C22⋊C4C2412yes—
869C2×C22⋊C4C2412yes—
870C2×C22⋊C4C2412yes—
871C2×C22⋊C4C2412yes—
872C2×C22⋊C4C2412yes—
873C2×C22⋊C4C2412yes—
874C2×C22⋊C4C2412yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2411yescharacteristic
878C2×C22⋊C4C2412yes—
879C2×C22⋊C4C2412yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2412yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2411yescharacteristic
915C2×C42—28no—
916C2×C42—44no—
917C2×C42C2412yes—
918C2×C42C2412yes—
919C2×C42C2412yes—
920C2×C42C2412yes—
921C2×C42C2412yes—
922C2×C42C2412yes—
923C2×C42C2412yes—
924C2×C42C2412yes—
925C2×C42C2412yes—
926C2×C42C2412yes—
927C2×C42C2412yes—
928C2×C42C2414yes—
929C2×C42C2412yes—
930C2×C42C2412yes—
931C2×C42C2414yes—
932C2×C42C2414yes—
933C2×C42C2414yes—
934C2×C42C2412yes—
935C2×C42C2414yes—
936C2×C42C2414yes—
937C2×C42C2412yes—
938C2×C42C2414yes—
939C2×C42C2412yes—
940C2×C42C2412yes—
941C2×C42C2412yes—
942#95C2412yes—
943#95C2414yes—
944#95C2412yes—
945#95C2412yes—
946#95C2412yes—
947#95C2412yes—
948#95C2412yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2412yes—
954#95C2412yes—
955#95C2412yes—
956#95C2412yes—
957#95C2412yes—
958#95C2412yes—
959#95C2412yes—
960#95C2412yes—
961#95C2412yes—
962#95C2412yes—
963#95C2412yes—
964#95C2412yes—
965#95C2412yes—
966#95C2412yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2412yes—
978#95C2412yes—
979#95C2411yescharacteristic
980#95C2411yescharacteristic
981#95C2411yescharacteristic
982#95C2411yescharacteristic
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#95C2412yes—
996#95C2414yes—
997#95C2412yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012C24—22no—
1013C24—22no—
1014C24—24no—
1015C24—24no—
1016C24—24no—
1017C24—42no—
1018C24—42no—
1019C24—44no—
1020C24—44no—
1021C24C2×#4114yes—
1022C24C2512yes—
1023C24C2512yes—
1024C24C2511yescharacteristic
1025C24C2511yescharacteristic
1026C24C2511yescharacteristic
1027C2×Q8—24no—
1028C2×Q8—24no—
1029C2×Q8—24no—
1030C2×Q8—24no—
1031C2×Q8—44no—
1032C2×Q8—44no—
1033C2×Q8—44no—
1034C2×Q8—44no—
1035C2×Q8—88no—
1036C2×D4—24no—
1037C2×D4—24no—
1038C2×D4—24no—
1039C2×D4—24no—
1040C2×D4—22no—
1041C2×D4—22no—
1042C2×D4—24no—
1043C2×D4—24no—
1044C2×D4—24no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—88no—
1051C2×D4—816no—
1052C22×C4—24no—
1053C22×C4—24no—
1054C22×C4—24no—
1055C22×C4—24no—
1056C22×C4—24no—
1057C22×C4—24no—
1058C22×C4—24no—
1059C22×C4—24no—
1060C22×C4—24no—
1061C22×C4—24no—
1062C22×C4—28no—
1063C22×C4—24no—
1064C22×C4—28no—
1065C22×C4—416no—
1066C22×C4—42no—
1067C22×C4—42no—
1068C22×C4—42no—
1069C22×C4—42no—
1070C22×C4—42no—
1071C22×C4—42no—
1072C22×C4—42no—
1073C22×C4—44no—
1074C22×C4—44no—
1075C22×C4—42no—
1076C22×C4—44no—
1077C22×C4—44no—
1078C22×C4—44no—
1079C22×C4—42no—
1080C22×C4—42no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—44no—
1085C22×C4—44no—
1086C22×C4C2×#4114yes—
1087C22×C4C2×#4114yes—
1088C22×C4C2×#4114yes—
1089C22×C4C2×#4114yes—
1090C22×C4C2×#4114yes—
1091C22×C4C2×#4114yes—
1092C22×C4C2512yes—
1093C22×C4C2512yes—
1094C22×C4C2514yes—
1095C22×C4C2512yes—
1096C22×C4C2512yes—
1097C22×C4C2514yes—
1098C22×C4C2512yes—
1099C22×C4C2512yes—
1100C22×C4C2512yes—
1101C22×C4C2514yes—
1102C22×C4C2514yes—
1103C22×C4C2512yes—
1104C22×C4C2512yes—
1105C22×C4C2512yes—
1106C22×C4C2514yes—
1107C22×C4C2512yes—
1108C22×C4C2512yes—
1109C22×C4C2512yes—
1110C22×C4C2514yes—
1111C22×C4C2511yescharacteristic
1112C22×C4C2511yescharacteristic
1113C22×C4C2511yescharacteristic
1114C22×C4C2512yes—
1115C22×C4C2511yescharacteristic
1116C4⋊C4—22no—
1117C4⋊C4—22no—
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—24no—
1121C4⋊C4—24no—
1122C4⋊C4—24no—
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4—24no—
1126C4⋊C4—24no—
1127C4⋊C4—28no—
1128C4⋊C4—28no—
1129C4⋊C4—24no—
1130C4⋊C4—24no—
1131C4⋊C4—24no—
1132C4⋊C4—24no—
1133C4⋊C4—24no—
1134C4⋊C4—24no—
1135C4⋊C4—44no—
1136C4⋊C4—44no—
1137C4⋊C4—44no—
1138C4⋊C4—44no—
1139C4⋊C4—44no—
1140C4⋊C4—42no—
1141C4⋊C4—42no—
1142C4⋊C4—42no—
1143C4⋊C4—42no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C4⋊C4—44no—
1150C4⋊C4—44no—
1151C4⋊C4—44no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C4⋊C4—42no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—42no—
1164C4⋊C4—42no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—42no—
1170C4⋊C4—44no—
1171C22⋊C4—24no—
1172C22⋊C4—24no—
1173C22⋊C4—24no—
1174C22⋊C4—24no—
1175C22⋊C4—28no—
1176C22⋊C4—28no—
1177C22⋊C4—22no—
1178C22⋊C4—24no—
1179C22⋊C4—24no—
1180C22⋊C4—22no—
1181C22⋊C4—22no—
1182C22⋊C4—24no—
1183C22⋊C4—24no—
1184C22⋊C4—24no—
1185C22⋊C4—24no—
1186C22⋊C4—24no—
1187C22⋊C4—24no—
1188C22⋊C4—24no—
1189C22⋊C4—28no—
1190C22⋊C4—42no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—42no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—42no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—42no—
1214C22⋊C4—42no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4—44no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C42−1+414yes—
1222C42—24no—
1223C42—24no—
1224C42—24no—
1225C42—24no—
1226C42—24no—
1227C42—24no—
1228C42—24no—
1229C42—24no—
1230C42—24no—
1231C42—24no—
1232C42—42no—
1233C42—42no—
1234C42—44no—
1235C42—42no—
1236C42—42no—
1237C42—42no—
1238C42—44no—
1239C42—44no—
1240C42—44no—
1241C42—44no—
1242C42—44no—
1243C42—42no—
1244C42—42no—
1245C42—44no—
1246C42—42no—
1247C23—22no—
1248C23—22no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—22no—
1254C23—22no—
1255C23—22no—
1256C23—22no—
1257C23—28no—
1258C23—22no—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—24no—
1265C23—24no—
1266C23—24no—
1267C23—24no—
1268C23—44no—
1269C23—44no—
1270C23—48no—
1271C23—84no—
1272C23—84no—
1273C23—84no—
1274C23—84no—
1275C23—88no—
1276C23—88no—
1277C23C22×#4112yes—
1278C23C22×#4112yes—
1279C23C22×#4112yes—
1280C23C2×2−1+412yes—
1281C23#58512yes—
1282C23C2611yescharacteristic
1283Q8—48no—
1284Q8—84no—
1285Q8—88no—
1286D4—48no—
1287D4—48no—
1288D4—44no—
1289D4—44no—
1290D4—84no—
1291D4—84no—
1292D4—84no—
1293C2×C4—22no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—28no—
1299C2×C4—28no—
1300C2×C4—28no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—24no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—24no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—24no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—24no—
1327C2×C4—24no—
1328C2×C4—24no—
1329C2×C4—24no—
1330C2×C4—24no—
1331C2×C4—24no—
1332C2×C4—22no—
1333C2×C4—24no—
1334C2×C4—22no—
1335C2×C4—24no—
1336C2×C4—24no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—24no—
1347C2×C4—24no—
1348C2×C4—24no—
1349C2×C4—24no—
1350C2×C4—24no—
1351C2×C4—24no—
1352C2×C4—24no—
1353C2×C4—24no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—44no—
1357C2×C4—44no—
1358C2×C4—44no—
1359C2×C4—48no—
1360C2×C4—84no—
1361C2×C4—88no—
1362C2×C4—84no—
1363C2×C4—84no—
1364C2×C4—88no—
1365C2×C4—84no—
1366C2×C4—84no—
1367C2×C4—84no—
1368C2×C4—164no—
1369C2×C4C22×#4112yes—
1370C2×C4C22×#4112yes—
1371C2×C4C22×#4112yes—
1372C2×C4C22×#4112yes—
1373C2×C4C2×2−1+414yes—
1374C2×C4#58514yes—
1375C22—22no—
1376C22—22no—
1377C22—24no—
1378C22—24no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—22no—
1385C22—42no—
1386C22—42no—
1387C22—42no—
1388C22—42no—
1389C22—42no—
1390C22—42no—
1391C22—42no—
1392C22—42no—
1393C22—42no—
1394C22—42no—
1395C22—44no—
1396C22—44no—
1397C22—44no—
1398C22—44no—
1399C22—88no—
1400C22—168no—
1401C22#346114yes—
1402C22C23×#4111yescharacteristic
1403C22C22×2−1+411yescharacteristic
1404C22C2×#58512yes—
1405C22C2×#58511yescharacteristic
1406C22H(7,𝔽2)12yes—
1407C4—22no—
1408C4—22no—
1409C4—22no—
1410C4—24no—
1411C4—44no—
1412C4—42no—
1413C4—42no—
1414C4—44no—
1415C4—42no—
1416C4—42no—
1417C4—42no—
1418C4—42no—
1419C4—42no—
1420C4—42no—
1421C4—44no—
1422C4—42no—
1423C4—44no—
1424C4—44no—
1425C4—42no—
1426C4—42no—
1427C4—42no—
1428C4—42no—
1429C4—44no—
1430C4#349114yes—
1431C2—24no—
1432C2—42no—
1433C2—42no—
1434C2—82no—
1435C2—82no—
1436C2C2×#346111yescharacteristic
1437C2C2×#349111yescharacteristic
1438C2#6285511yescharacteristic
1439C2#6294112yes—
1440C2#6295112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#121C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #41620C2semidirect
2. #41608C2semidirect
3. #41391C2semidirect
4. #41388C2semidirect
5. #41128C2semidirect
6. #41119C2semidirect
7. #40639C2semidirect
8. #39076C2semidirect
9. #39071C2semidirect
10. #38260C2semidirect
11. #38255C2semidirect
12. #38066C2semidirect
13. #38054C2semidirect
14. #37524C2semidirect
15. #37521C2semidirect
16. #37476C2semidirect
18. #36293C2semidirect
19. #36280C2semidirect
20. #36013C2semidirect
21. #35839C2semidirect
22. #35765C2semidirect
23. #35311C2semidirect
24. #35269C2semidirect
25. #34619C2semidirect
28. #34212C2semidirect
29. #34109C2semidirect
33. #2863C22semidirect
34. #2861C22semidirect
35. #2860C22semidirect
36. #2859C22semidirect
39. #2841C22semidirect
40. #2838C22semidirect
41. #2836C22semidirect
42. #2827C22semidirect
43. #2827C22semidirect
46. #2798C22semidirect
47. #2798C22semidirect
48. #2776C22semidirect
49. #2773C22semidirect
50. #2769C22semidirect
51. #2766C22semidirect
52. #2761C22semidirect
53. #2759C22semidirect
54. #2757C22semidirect
55. #2754C22semidirect
56. #2754C22semidirect
57. #2746C22semidirect
58. #2743C22semidirect
59. #2740C22semidirect
60. #2737C22semidirect
61. #2737C22semidirect
62. #2723C22semidirect
63. #2721C22semidirect
64. #2721C22semidirect
65. #2719C22semidirect
66. #2707C22semidirect
67. #2695C22semidirect
68. #2694C22semidirect
69. #2687C22semidirect
70. #2667C22semidirect
71. #2667C22semidirect
72. #2665C22semidirect
73. #2664C22semidirect
74. #2654C22semidirect
75. #2654C22semidirect
76. #2653C22semidirect
77. #2653C22semidirect
78. #2652C22semidirect
79. #2650C22semidirect
80. #2649C22semidirect
81. #2649C22semidirect
82. #2647C22semidirect
83. #2645C22semidirect
84. #2644C22semidirect
85. #2640C22semidirect
86. #2638C22semidirect
87. #2633C22semidirect
88. #2629C22semidirect
89. #2628C22semidirect
93. #2625C22semidirect
94. #2625C22semidirect
107. #2612C22semidirect
108. #2607C22semidirect
109. #2606C22semidirect
110. #2597C22semidirect
111. #2589C22semidirect
112. #2585C22semidirect
113. #2576C22semidirect
114. #2575C22semidirect
115. #2573C22semidirect
116. #2572C22semidirect
119. #2558C22semidirect
120. #2556C22semidirect
121. #2553C22semidirect
123. #2531C22semidirect
124. #2527C22semidirect
125. #2526C22semidirect
126. #2526C22semidirect
127. #2525C22semidirect
128. #2523C22semidirect
129. #2522C22semidirect
130. #2519C22semidirect
131. #2518C22semidirect
132. #2518C22semidirect
133. #2517C22semidirect
134. #2516C22semidirect
135. #2515C22semidirect
136. #2514C22semidirect
137. #2513C22semidirect
138. #2512C22semidirect
139. #2511C22semidirect
140. #2507C22semidirect
141. #2507C22semidirect
142. #2506C22semidirect
143. #2506C22semidirect
149. #2499C22semidirect
152. #2484C22semidirect
153. #2484C22semidirect
159. #2479C22semidirect
162. #2470C22semidirect
163. #2466C22semidirect
164. #2466C22semidirect
165. #2462C22semidirect
166. #2460C22semidirect
167. #2460C22semidirect
168. #2458C22semidirect
169. #2454C22semidirect
170. #2453C22semidirect
171. #2452C22semidirect
172. #2451C22semidirect
173. #2448C22semidirect
174. #2448C22semidirect
175. #2447C22semidirect
176. #2447C22semidirect
179. #2441C22semidirect
180. #2441C22semidirect
182. #2439C22semidirect
188. #2423C22semidirect
190. #2401C22semidirect
191. #2398C22semidirect
192. #2396C22semidirect
193. #2395C22semidirect
205. #2347C22semidirect
206. #2346C22semidirect
211. #2345C22semidirect
212. #2345C22semidirect
216. #2343C22semidirect
217. #2343C22semidirect
222. Q8×C22⋊C4C22semidirect
228. #2330C22semidirect
229. #2329C22semidirect
230. #2326C22semidirect
231. #2320C22semidirect
232. #2319C22semidirect
233. #2317C22semidirect
236. #2310C22semidirect
237. C4×C4⋊Q8C22semidirect
238. C4×#124C22semidirect
239. C4×C22⋊Q8C22semidirect
240. C4×C22⋊Q8C22semidirect
243. #2298C22semidirect
244. #2298C22semidirect
245. #2296C22semidirect
246. #2295C22semidirect
247. #2293C22semidirect
257. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#416202
#416082
#413912
#413882
#411282
#411192
#406392
#390762
#390712
#382602
#382552
#380662
#380542
#375242
#375212
#374762
#374512
#362932
#362802
#360132
#358392
#357652
#353112
#352692
#346192
C2×#26242
#342462
#342122
#341092