Finite Group Databasebeta

← #7652131

Subgroups — #7652131

Order 512.

4939 conjugacy classes of subgroups.

The subgroup lattice has 1794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42743C212yesmaximal, complemented
2#42671C212yesmaximal, complemented
3#42637C212yesmaximal, complemented
4#42613C212yesmaximal, complemented
5#42554C212yesmaximal, complemented
6#42466C212yesmaximal, complemented
7#42458C212yesmaximal, complemented
8#42456C212yesmaximal, complemented
9#41535C214yesmaximal, complemented
10#40819C214yesmaximal, complemented
11#40142C212yesmaximal, complemented
12#40058C212yesmaximal, complemented
13#39904C212yesmaximal, complemented
14#39902C212yesmaximal, complemented
15#39652C212yesmaximal, complemented
16#39608C212yesmaximal, complemented
17#39216C212yesmaximal, complemented
18#39146C212yesmaximal, complemented
19#38542C214yesmaximal, complemented
20#38511C214yesmaximal, complemented
21#35566C211yesmaximal, characteristic, complemented
22#35544C211yesmaximal, characteristic, complemented
23#35542C211yesmaximal, characteristic, complemented
24#35542C211yesmaximal, characteristic, complemented
25#35519C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35267C211yesmaximal, characteristic, complemented
28#35253C211yesmaximal, characteristic, complemented
29#35224C211yesmaximal, characteristic, complemented
30#34946C211yesmaximal, characteristic, complemented
31C2×#2487C211yesmaximal, characteristic, complemented
32#34737C211yesmaximal, characteristic
33#34272C211yesmaximal, characteristic, complemented
34#34200C211yesmaximal, characteristic, complemented
35#34180C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43C22×#117C2211yescharacteristic
44C23×C4⋊C4C2211yescharacteristic
45#2863C2212yescomplemented
46#2860C2212yescomplemented
47#2857C2212yescomplemented
48#2851C2212yescomplemented
49#2848C2214yes—
50#2839C2214yescomplemented
51#2838C2214yescomplemented
52#2837C2214yescomplemented
53#2831C2214yescomplemented
54#2799C2214yescomplemented
55#2798C2214yescomplemented
56#2796C2214yescomplemented
57#2790C2214yescomplemented
58#2779C2214yes—
59#2773C2214yescomplemented
60#2770C2214yescomplemented
61#2770C2214yescomplemented
62#2767C2214yescomplemented
63#2765C2214yescomplemented
64#2763C2214yescomplemented
65#2763C2214yescomplemented
66#2762C2214yescomplemented
67#2758C2214yescomplemented
68#2757C2214yes—
69#2757C2214yescomplemented
70#2746C2214yes—
71#2746C2214yescomplemented
72#2742C2214yescomplemented
73#2739C2214yescomplemented
74#2738C2214yescomplemented
75#2730C2214yes—
76#2729C2214yescomplemented
77#2723C2214yescomplemented
78#2718C2214yescomplemented
79#2715C2214yescomplemented
80#2712C2214yes—
81#2692C2214yes—
82#2692C2214yescomplemented
83#2691C2214yes—
84#2686C2214yes—
85#2674C2214yescomplemented
86#2666C2214yescomplemented
87#2654C2214yescomplemented
88#2653C2214yes—
89#2652C2214yescomplemented
90#2650C2214yescomplemented
91#2650C2214yescomplemented
92#2649C2214yescomplemented
93#2645C2214yescomplemented
94#2645C2212yescomplemented
95#2644C2212yescomplemented
96#2638C2214yescomplemented
97#2632C2214yescomplemented
98#2630C2214yes—
99#2629C2212yescomplemented
100#2628C2214yescomplemented
101#2628C2212yescomplemented
102#2627C2214yes—
103#2584C2212yescomplemented
104#2584C2212yescomplemented
105#2582C2212yescomplemented
106#2581C2212yescomplemented
107#2580C2212yescomplemented
108#2567C2212yescomplemented
109#2563C2211yescharacteristic
110#2563C2211yescharacteristic
111#2563C2212yescomplemented
112#2563C2212yescomplemented
113#2562C2211yescharacteristic
114#2562C2211yescharacteristic
115#2562C2211yescharacteristic
116#2562C2211yescharacteristic
117#2562C2212yescomplemented
118#2562C2212yescomplemented
119#2562C2212yescomplemented
120#2562C2212yescomplemented
121#2561C2212yes—
122#2561C2212yes—
123#2552C2212yescomplemented
124#2551C2212yescomplemented
125#2550C2212yescomplemented
126#2550C2212yescomplemented
127#2549C2214yes—
128#2547C2211yescharacteristic
129#2547C2211yescharacteristic
130#2547C2212yescomplemented
131#2547C2212yescomplemented
132#2546C2212yescomplemented
133#2538C2212yescomplemented
134#2532C2214yescomplemented
135#2530C2214yescomplemented
136#2521C2214yes—
137#2510C2214yes—
138#2508C2214yescomplemented
139#2503C2212yes—
140#2497C2212yescomplemented
141#2497C2212yescomplemented
142#2497C2212yescomplemented
143#2496C2212yescomplemented
144#2496C2212yescomplemented
145#2496C2212yescomplemented
146#2495C2212yescomplemented
147#2495C2212yescomplemented
148#2495C2212yescomplemented
149#2494C2212yescomplemented
150#2494C2212yescomplemented
151#2494C2212yescomplemented
152#2493C2214yes—
153#2492C2212yescomplemented
154#2492C2212yescomplemented
155#2491C2212yescomplemented
156#2491C2212yescomplemented
157#2490C2212yescomplemented
158#2490C2212yescomplemented
159#2489C2212yescomplemented
160#2489C2212yescomplemented
161#2488C2214yes—
162#2488C2214yes—
163#2487C2212yes—
164#2487C2212yes—
165#2487C2212yes—
166#2487C2212yes—
167#2487C2212yes—
168#2487C2212yes—
169#2487C2212yes—
170#2487C2212yes—
171#2487C2212yescomplemented
172#2486C2212yescomplemented
173#2485C2212yescomplemented
174#2485C2212yescomplemented
175#2481C2214yes—
176#2480C2214yes—
177#2479C2214yescomplemented
178#2477C2214yes—
179#2472C2214yes—
180#2472C2214yes—
181#2468C2214yescomplemented
182#2465C2214yescomplemented
183#2461C2214yes—
184#2452C2214yescomplemented
185#2450C2214yes—
186#2449C2214yes—
187#2442C2212yescomplemented
188#2442C2212yescomplemented
189#2442C2212yescomplemented
190#2442C2212yescomplemented
191#2442C2212yescomplemented
192#2442C2212yescomplemented
193#2441C2212yescomplemented
194#2441C2212yescomplemented
195#2440C2214yes—
196#2440C2212yescomplemented
197#2440C2212yescomplemented
198#2440C2212yescomplemented
199#2440C2212yescomplemented
200#2440C2212yescomplemented
201#2440C2212yescomplemented
202#2439C2212yescomplemented
203#2439C2212yescomplemented
204#2438C2214yes—
205#2437C2214yes—
206#2435C2212yes—
207#2427C2214yes—
208#2423C2214yescomplemented
209#2423C2212yescomplemented
210#2422C2212yescomplemented
211#2421C2212yescomplemented
212#2420C2212yescomplemented
213#2419C2214yes—
214#2418C2214yes—
215#2417C2211yescharacteristic
216#2417C2211yescharacteristic
217#2416C2211yescharacteristic
218#2416C2211yescharacteristic
219#2415C2211yescharacteristic
220#2415C2211yescharacteristic
221#2414C2211yescharacteristic
222#2414C2211yescharacteristic
223#2413C2212yes—
224#2412C2212yes—
225#2411C2212yes—
226#2410C2212yes—
227#2398C2212yes—
228#2398C2212yes—
229C2×#400C2212yes—
230C2×#399C2212yes—
231#2392C2212yes—
232#2392C2212yes—
233#2370C2212yescomplemented
234#2370C2212yescomplemented
235#2369C2212yescomplemented
236#2368C2214yes—
237#2365C2212yescomplemented
238#2361C2212yescomplemented
239#2361C2212yescomplemented
240#2360C2214yes—
241#2360C2212yescomplemented
242#2360C2212yescomplemented
243#2352C2212yescomplemented
244#2352C2212yescomplemented
245D4×C4⋊C4C2212yescomplemented
246D4×C4⋊C4C2212yescomplemented
247#2347C2212yescomplemented
248#2346C2212yescomplemented
249#2345C2212yescomplemented
250#2344C2212yescomplemented
251#2343C2214yes—
252#2342C2214yes—
253#2337C2214yes—
254#2334C2214yescomplemented
255#2331C2212yescomplemented
256#2330C2212yescomplemented
257#2326C2214yescomplemented
258#2324C2214yes—
259#2322C2214yes—
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2316C2211yescharacteristic
266#2316C2211yescharacteristic
267#2314C2212yescomplemented
268#2314C2212yescomplemented
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272C4×C4⋊Q8C2212yescomplemented
273C4×#125C2212yescomplemented
274C4×#124C2212yes—
275C4×#124C2212yes—
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#120C2214yes—
279#2297C2211yescharacteristic
280#2296C2211yescharacteristic
281C2×#389C2211yescharacteristic
282C2×#389C2211yescharacteristic
283C2×#386C2212yes—
284C2×#385C2212yes—
285#2285C2212yescomplemented
286#2283C2212yescomplemented
287#2280C2211yescharacteristic
288#2280C2211yescharacteristic
289#2280C2211yescharacteristic
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292C2×#380C2211yescharacteristic
293C2×#380C2211yescharacteristic
294C2×#380C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2311yescharacteristic
302C24×C4C2311yescharacteristic
303C24×C4C2312yes—
304#544—28no—
305#544—44no—
306#533—44no—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326#525—28no—
327#525—44no—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#120C2312yes—
350C2×#120C2312yes—
351#520—44no—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2314yes—
356C2×C4×D4—44no—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×#117—28no—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2314yes—
386C2×#117C2311yescharacteristic
387C22×C4⋊C4—44no—
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2311yescharacteristic
405C22×C22⋊C4C2311yescharacteristic
406C22×C22⋊C4C2312yes—
407C22×C22⋊C4C2312yes—
408C22×C22⋊C4C2312yes—
409C22×C42C2312yes—
410C22×C42C2311yescharacteristic
411#401C2314yes—
412#401C2314yes—
413#400C2312yes—
414#400C2312yes—
415#400C2312yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2312yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2312yes—
486#396C2312yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#394C2312yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2314yes—
505#394C2312yes—
506#394C2312yes—
507#394C2312yes—
508#394C2312yes—
509#394C2312yes—
510#394C2314yes—
511#393C2312yes—
512#393C2312yes—
513#393C2312yes—
514#393C2312yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#392C2312yes—
522#392C2312yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#391C2314yes—
529#391C2311yescharacteristic
530#391C2314yes—
531#391C2311yescharacteristic
532#391C2314yes—
533#391C2314yes—
534#391C2314yes—
535#391C2312yes—
536#391C2314yes—
537#391C2314yes—
538#391C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2311yescharacteristic
580#389C2314yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2311yescharacteristic
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2314yes—
666#386C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#384C2312yes—
692#384C2314yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#383C2314yes—
698#383C2314yes—
699#383C2314yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2314yes—
710#381C2312yes—
711#381C2312yes—
712#381C2312yes—
713#381C2312yes—
714#381C2314yes—
715#381C2312yes—
716#381C2314yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#379C2312yes—
765#379C2312yes—
766#379C2312yes—
767#379C2312yes—
768#379C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2314yes—
812#376C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C43C2312yes—
819C25C2411yescharacteristic
820C25C2411yescharacteristic
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×D4—24no—
830C22×D4—42no—
831C22×D4—42no—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C23×C4—24no—
843C23×C4—24no—
844C23×C4—24no—
845C23×C4—24no—
846C23×C4—24no—
847C23×C4—24no—
848C23×C4—44no—
849C23×C4—82no—
850C23×C4—82no—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2411yescharacteristic
874C4⋊Q8—28no—
875C4⋊Q8—28no—
876C4⋊Q8—42no—
877C4⋊Q8—42no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880C4⋊Q8—84no—
881#126—48no—
882#126—84no—
883#125—28no—
884#125—28no—
885#125—42no—
886#125—42no—
887#125—44no—
888#125—44no—
889#124—28no—
890#124—48no—
891#124—44no—
892#124—84no—
893#123—28no—
894#123—44no—
895#123—84no—
896C22⋊Q8—24no—
897C22⋊Q8—24no—
898C22⋊Q8—216no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—48no—
902C22⋊Q8—42no—
903C22⋊Q8—42no—
904C22⋊Q8—84no—
905C22⋊Q8—84no—
906C22⋊Q8—84no—
907C22⋊Q8—84no—
908#121—28no—
909#121—24no—
910#121—24no—
911#121—44no—
912#121—42no—
913#121—42no—
914#120—28no—
915#120—44no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×Q8—84no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—44no—
923C4×D4—42no—
924C4×D4—42no—
925C4×D4—42no—
926C4×D4—42no—
927C4×D4—42no—
928C4×D4—42no—
929C4×D4—42no—
930C4×D4—42no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—48no—
934C4×D4—84no—
935C4×D4—84no—
936#117—24no—
937#117—24no—
938#117—24no—
939#117—24no—
940#117—24no—
941#117—24no—
942#117—24no—
943#117—24no—
944#117—28no—
945#117—28no—
946#117—44no—
947#117—84no—
948#117#4118yes—
949C2×C4⋊C4—24no—
950C2×C4⋊C4—24no—
951C2×C4⋊C4—24no—
952C2×C4⋊C4—24no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—24no—
955C2×C4⋊C4—44no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4—44no—
959C2×C4⋊C4—44no—
960C2×C4⋊C4—44no—
961C2×C4⋊C4—42no—
962C2×C4⋊C4—82no—
963C2×C4⋊C4—82no—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C22⋊C4—28no—
1034C2×C22⋊C4—44no—
1035C2×C22⋊C4—42no—
1036C2×C22⋊C4—42no—
1037C2×C22⋊C4—82no—
1038C2×C22⋊C4—82no—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C42—24no—
1102C2×C42—28no—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195C24—22no—
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—22no—
1202C24—22no—
1203C24—22no—
1204C24—41no—
1205C24—41no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24C2511yescharacteristic
1210C24C2512yes—
1211C24C2511yescharacteristic
1212C24C2511yescharacteristic
1213C24C2511yescharacteristic
1214C24C2511yescharacteristic
1215#41—416no—
1216C2×Q8—22no—
1217C2×Q8—28no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—42no—
1222C2×Q8—42no—
1223C2×Q8—44no—
1224C2×Q8—42no—
1225C2×Q8—44no—
1226C2×Q8—42no—
1227C2×Q8—42no—
1228C2×Q8—44no—
1229C2×Q8—44no—
1230C2×Q8—44no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—416no—
1261C2×D42−1+414yes—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—42no—
1306C22×C4—41no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—416no—
1329C22×C4—416no—
1330C22×C4—816no—
1331C22×C4C2×#4114yes—
1332C22×C4H(5,𝔽2)14yes—
1333C22×C42−1+414yes—
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2514yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2514yes—
1350C22×C4C2514yes—
1351C22×C4C2512yes—
1352C22×C4C2514yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—28no—
1374C4⋊C4—28no—
1375C4⋊C4—28no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—41no—
1394C4⋊C4—41no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4C2×#4114yes—
1431C4⋊C4C2×#4114yes—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—28no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—44no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4C2×#4118yes—
1494C42—24no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—24no—
1503C42—24no—
1504C42—24no—
1505C42—24no—
1506C42—24no—
1507C42—44no—
1508C42—44no—
1509C42—44no—
1510C42—44no—
1511C42—42no—
1512C42—44no—
1513C42—44no—
1514C42—42no—
1515C42—44no—
1516C42—42no—
1517C42C2×#4118yes—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—28no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—22no—
1543C23—21no—
1544C23—22no—
1545C23—22no—
1546C23—21no—
1547C23—22no—
1548C23—21no—
1549C23—22no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—22no—
1554C23—22no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—44no—
1559C23—44no—
1560C23—44no—
1561C23—44no—
1562C23—44no—
1563C23—44no—
1564C23—44no—
1565C23—82no—
1566C23—82no—
1567C23—82no—
1568C23C22×#4112yes—
1569C23C2×H(5,𝔽2)12yes—
1570C23C2×2−1+412yes—
1571C23C2×2−1+412yes—
1572C23C2×2−1+412yes—
1573C23#58512yes—
1574C23C2611yescharacteristic
1575Q8—44no—
1576Q8—88no—
1577Q8—84no—
1578Q8—84no—
1579Q8—164no—
1580D4—44no—
1581D4—48no—
1582D4—48no—
1583D4—44no—
1584D4—44no—
1585D4—44no—
1586D4—48no—
1587D4—44no—
1588D4—84no—
1589D4—84no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—22no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—21no—
1668C2×C4—48no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—44no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—48no—
1681C2×C4—84no—
1682C2×C4—84no—
1683C2×C4—82no—
1684C2×C4—84no—
1685C2×C4—84no—
1686C2×C4—84no—
1687C2×C4—88no—
1688C2×C4—88no—
1689C2×C4—164no—
1690C2×C4#542116yes—
1691C2×C4C22×#4114yes—
1692C2×C4C22×#4114yes—
1693C2×C4C22×#4112yes—
1694C2×C4C22×#4112yes—
1695C2×C4C2×H(5,𝔽2)12yes—
1696C2×C4C2×H(5,𝔽2)12yes—
1697C2×C4C2×2−1+412yes—
1698C2×C4C2×2−1+412yes—
1699C2×C4C2×2−1+412yes—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—416no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—42no—
1729C22—41no—
1730C22—42no—
1731C22—41no—
1732C22—41no—
1733C22—42no—
1734C22—42no—
1735C22—41no—
1736C22—41no—
1737C22—42no—
1738C22—42no—
1739C22—41no—
1740C22—42no—
1741C22—41no—
1742C22—88no—
1743C22C2×#54214yes—
1744C22C23×#4111yescharacteristic
1745C22C22×H(5,𝔽2)11yescharacteristic
1746C22C22×2−1+411yescharacteristic
1747C22C22×2−1+411yescharacteristic
1748C22C2×#58511yescharacteristic
1749C22H(7,𝔽2)11yescharacteristic
1750C22H(7,𝔽2)11yescharacteristic
1751C4—24no—
1752C4—24no—
1753C4—22no—
1754C4—42no—
1755C4—42no—
1756C4—42no—
1757C4—44no—
1758C4—42no—
1759C4—41no—
1760C4—42no—
1761C4—42no—
1762C4—42no—
1763C4—41no—
1764C4—44no—
1765C4—44no—
1766C4—41no—
1767C4—42no—
1768C4—42no—
1769C4—42no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—42no—
1775C4—42no—
1776C4—42no—
1777C4—44no—
1778C4C2×#54214yes—
1779C4C2×#54214yes—
1780C2—24no—
1781C2—42no—
1782C2—42no—
1783C2—42no—
1784C2—82no—
1785C2—81no—
1786C2C22×#54211yescharacteristic
1787C2#6281911yescharacteristic
1788C2#6287411yescharacteristic
1789C2#6294511yescharacteristic
1790C2#6295811yescharacteristic
1791C2#6300011yescharacteristic
1792C2#6300811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34737C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42743C2semidirect
2. #42671C2semidirect
3. #42637C2semidirect
4. #42613C2semidirect
5. #42554C2semidirect
6. #42466C2semidirect
7. #42458C2semidirect
8. #42456C2semidirect
9. #41535C2semidirect
10. #40819C2semidirect
11. #40142C2semidirect
12. #40058C2semidirect
13. #39904C2semidirect
14. #39902C2semidirect
15. #39652C2semidirect
16. #39608C2semidirect
17. #39216C2semidirect
18. #39146C2semidirect
19. #38542C2semidirect
20. #38511C2semidirect
21. #35566C2semidirect
22. #35544C2semidirect
23. #35542C2semidirect
24. #35542C2semidirect
25. #35519C2semidirect
26. #35516C2semidirect
27. #35267C2semidirect
28. #35253C2semidirect
29. #35224C2semidirect
30. #34946C2semidirect
31. C2×#2487C2semidirect
33. #34272C2semidirect
34. #34200C2semidirect
35. #34180C2semidirect
45. #2863C22semidirect
46. #2860C22semidirect
47. #2857C22semidirect
48. #2851C22semidirect
50. #2839C22semidirect
51. #2838C22semidirect
52. #2837C22semidirect
53. #2831C22semidirect
54. #2799C22semidirect
55. #2798C22semidirect
56. #2796C22semidirect
57. #2790C22semidirect
59. #2773C22semidirect
60. #2770C22semidirect
61. #2770C22semidirect
62. #2767C22semidirect
63. #2765C22semidirect
64. #2763C22semidirect
65. #2763C22semidirect
66. #2762C22semidirect
67. #2758C22semidirect
69. #2757C22semidirect
71. #2746C22semidirect
72. #2742C22semidirect
73. #2739C22semidirect
74. #2738C22semidirect
76. #2729C22semidirect
77. #2723C22semidirect
78. #2718C22semidirect
79. #2715C22semidirect
82. #2692C22semidirect
85. #2674C22semidirect
86. #2666C22semidirect
87. #2654C22semidirect
89. #2652C22semidirect
90. #2650C22semidirect
91. #2650C22semidirect
92. #2649C22semidirect
93. #2645C22semidirect
94. #2645C22semidirect
95. #2644C22semidirect
96. #2638C22semidirect
97. #2632C22semidirect
99. #2629C22semidirect
100. #2628C22semidirect
101. #2628C22semidirect
103. #2584C22semidirect
104. #2584C22semidirect
105. #2582C22semidirect
106. #2581C22semidirect
107. #2580C22semidirect
108. #2567C22semidirect
111. #2563C22semidirect
112. #2563C22semidirect
117. #2562C22semidirect
118. #2562C22semidirect
119. #2562C22semidirect
120. #2562C22semidirect
123. #2552C22semidirect
124. #2551C22semidirect
125. #2550C22semidirect
126. #2550C22semidirect
130. #2547C22semidirect
131. #2547C22semidirect
132. #2546C22semidirect
133. #2538C22semidirect
134. #2532C22semidirect
135. #2530C22semidirect
138. #2508C22semidirect
140. #2497C22semidirect
141. #2497C22semidirect
142. #2497C22semidirect
143. #2496C22semidirect
144. #2496C22semidirect
145. #2496C22semidirect
146. #2495C22semidirect
147. #2495C22semidirect
148. #2495C22semidirect
149. #2494C22semidirect
150. #2494C22semidirect
151. #2494C22semidirect
153. #2492C22semidirect
154. #2492C22semidirect
155. #2491C22semidirect
156. #2491C22semidirect
157. #2490C22semidirect
158. #2490C22semidirect
159. #2489C22semidirect
160. #2489C22semidirect
171. #2487C22semidirect
172. #2486C22semidirect
173. #2485C22semidirect
174. #2485C22semidirect
177. #2479C22semidirect
181. #2468C22semidirect
182. #2465C22semidirect
184. #2452C22semidirect
187. #2442C22semidirect
188. #2442C22semidirect
189. #2442C22semidirect
190. #2442C22semidirect
191. #2442C22semidirect
192. #2442C22semidirect
193. #2441C22semidirect
194. #2441C22semidirect
196. #2440C22semidirect
197. #2440C22semidirect
198. #2440C22semidirect
199. #2440C22semidirect
200. #2440C22semidirect
201. #2440C22semidirect
202. #2439C22semidirect
203. #2439C22semidirect
208. #2423C22semidirect
209. #2423C22semidirect
210. #2422C22semidirect
211. #2421C22semidirect
212. #2420C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
235. #2369C22semidirect
237. #2365C22semidirect
238. #2361C22semidirect
239. #2361C22semidirect
241. #2360C22semidirect
242. #2360C22semidirect
243. #2352C22semidirect
244. #2352C22semidirect
245. D4×C4⋊C4C22semidirect
246. D4×C4⋊C4C22semidirect
247. #2347C22semidirect
248. #2346C22semidirect
249. #2345C22semidirect
250. #2344C22semidirect
254. #2334C22semidirect
255. #2331C22semidirect
256. #2330C22semidirect
257. #2326C22semidirect
267. #2314C22semidirect
268. #2314C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×#125C22semidirect
285. #2285C22semidirect
286. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#427432
#426712
#426372
#426132
#425542
#424662
#424582
#424562
#415352
#408192
#401422
#400582
#399042
#399022
#396522
#396082
#392162
#391462
#385422
#385112
#355662
#355442
#355422
#355192
#355162
#352672
#352532
#352242
#349462
C2×#24872
#347372
#342722
#342002
#341802