Finite Group Databasebeta

← #7654406

Subgroups — #7654406

Order 512.

4773 conjugacy classes of subgroups.

The subgroup lattice has 1679 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42757C212yesmaximal, complemented
2#42605C212yesmaximal, complemented
3#41928C214yesmaximal, complemented
4#41917C214yesmaximal, complemented
5#40387C214yesmaximal, complemented
6#40131C212yesmaximal, complemented
7#39562C212yesmaximal, complemented
8#39544C212yesmaximal, complemented
9#39489C211yesmaximal, characteristic, complemented
10#39470C211yesmaximal, characteristic, complemented
11#39469C211yesmaximal, characteristic
12#39225C212yesmaximal, complemented
13#38964C211yesmaximal, characteristic, complemented
14#38212C212yesmaximal, complemented
15#37968C212yesmaximal, complemented
16#37831C214yesmaximal, complemented
17#37636C211yesmaximal, characteristic, complemented
18#37516C212yesmaximal, complemented
19#36526C212yesmaximal, complemented
20#36480C211yesmaximal, characteristic, complemented
21#36453C211yesmaximal, characteristic, complemented
22#36301C211yesmaximal, characteristic, complemented
23#36194C211yesmaximal, characteristic, complemented
24#36113C212yesmaximal, complemented
25#35798C212yesmaximal, complemented
26#35783C212yesmaximal, complemented
27#35319C211yesmaximal, characteristic, complemented
28#35185C211yesmaximal, characteristic, complemented
29#35160C212yesmaximal, complemented
30#35039C212yesmaximal, complemented
31#34974C211yesmaximal, characteristic, complemented
32#34763C212yesmaximal, complemented
33#34321C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#541C2212yes—
39C2×#532C2211yescharacteristic
40C2×#529C2214yes—
41#2868C2211yescharacteristic
42#2864C2212yes—
43#2864C2212yes—
44#2863C2212yes—
45#2860C2212yes—
46#2859C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2212yes—
50#2855C2212yes—
51#2852C2214yes—
52#2852C2214yes—
53#2832C2214yes—
54#2826C2214yes—
55#2824C2214yes—
56#2798C2214yes—
57#2796C2214yes—
58#2795C2214yes—
59#2776C2214yes—
60#2775C2214yes—
61#2772C2214yes—
62#2763C2214yes—
63#2762C2214yes—
64#2746C2214yes—
65#2745C2214yes—
66#2737C2214yes—
67#2730C2214yes—
68#2723C2214yes—
69#2720C2214yes—
70#2712C2214yes—
71#2711C2214yes—
72#2705C2214yes—
73#2700C2214yes—
74#2696C2214yes—
75#2694C2214yes—
76#2681C2214yes—
77#2676C2214yes—
78#2674C2214yes—
79#2674C2214yes—
80#2665C2214yes—
81#2662C2214yes—
82#2652C2214yes—
83#2650C2214yes—
84#2650C2214yes—
85#2648C2214yes—
86#2643C2214yes—
87#2643C2214yes—
88#2642C2212yes—
89#2638C2214yes—
90#2632C2214yes—
91#2628C2212yes—
92#2628C2212yes—
93#2628C2212yes—
94#2624C2212yes—
95#2624C2212yes—
96#2621C2212yes—
97#2620C2212yes—
98#2616C2212yes—
99#2615C2212yes—
100#2607C2214yes—
101#2605C2214yes—
102#2597C2214yes—
103#2596C2214yes—
104#2588C2214yes—
105#2586C2214yes—
106#2580C2212yes—
107#2578C2214yes—
108#2577C2214yes—
109#2576C2214yes—
110#2575C2214yes—
111#2571C2212yes—
112#2571C2211yescharacteristic
113#2567C2212yes—
114#2567C2211yescharacteristic
115#2563C2211yescharacteristic
116#2563C2211yescharacteristic
117#2563C2211yescharacteristic
118#2557C2214yes—
119#2551C2211yescharacteristic
120#2550C2212yes—
121#2538C2211yescharacteristic
122#2538C2212yes—
123#2537C2211yescharacteristic
124#2535C2212yes—
125#2532C2212yes—
126#2529C2212yes—
127#2527C2214yes—
128#2523C2214yes—
129#2521C2214yes—
130#2519C2214yes—
131#2518C2214yes—
132#2514C2214yes—
133#2513C2214yes—
134#2513C2212yes—
135#2512C2214yes—
136#2512C2211yescharacteristic
137#2511C2214yes—
138#2509C2212yes—
139#2509C2212yes—
140#2508C2212yes—
141#2508C2211yescharacteristic
142#2506C2212yes—
143#2506C2212yes—
144#2506C2212yes—
145#2506C2212yes—
146#2501C2212yes—
147#2499C2212yes—
148#2497C2212yes—
149#2497C2212yes—
150#2497C2212yes—
151#2496C2212yes—
152#2496C2212yes—
153#2496C2212yes—
154#2496C2212yes—
155#2496C2212yes—
156#2495C2212yes—
157#2495C2212yes—
158#2495C2211yescharacteristic
159#2494C2212yes—
160#2494C2212yes—
161#2494C2212yes—
162#2494C2212yes—
163#2492C2212yes—
164#2492C2214yes—
165#2491C2212yes—
166#2491C2212yes—
167#2491C2211yescharacteristic
168#2490C2212yes—
169#2488C2214yes—
170#2486C2212yes—
171#2485C2212yes—
172#2485C2212yes—
173#2479C2214yes—
174#2479C2212yes—
175#2477C2214yes—
176#2477C2214yes—
177#2476C2214yes—
178#2474C2212yes—
179#2469C2214yes—
180#2467C2214yes—
181#2467C2214yes—
182#2465C2214yes—
183#2462C2214yes—
184#2460C2214yes—
185#2460C2214yes—
186#2459C2214yes—
187#2458C2214yes—
188#2457C2214yes—
189#2452C2212yes—
190#2451C2211yescharacteristic
191#2448C2211yescharacteristic
192#2445C2212yes—
193#2441C2212yes—
194#2441C2212yes—
195#2441C2214yes—
196#2440C2212yes—
197#2439C2212yes—
198#2439C2212yes—
199#2439C2212yes—
200#2439C2214yes—
201#2428C2212yes—
202#2427C2212yes—
203#2426C2211yescharacteristic
204#2425C2214yes—
205#2423C2211yescharacteristic
206#2422C2212yes—
207#2422C2212yes—
208#2421C2212yes—
209#2420C2212yes—
210#2420C2212yes—
211#2420C2212yes—
212#2416C2212yes—
213#2415C2212yes—
214#2414C2212yes—
215#2396C2212yes—
216#2396C2214yes—
217#2395C2212yes—
218#2395C2214yes—
219#2372C2212yes—
220#2372C2212yes—
221#2370C2212yes—
222#2369C2211yescharacteristic
223#2369C2211yescharacteristic
224#2369C2211yescharacteristic
225#2369C2211yescharacteristic
226#2368C2214yes—
227#2367C2214yes—
228#2366C2211yescharacteristic
229#2366C2211yescharacteristic
230#2365C2212yes—
231#2363C2211yescharacteristic
232#2363C2212yes—
233#2363C2211yescharacteristic
234#2363C2212yes—
235#2363C2211yescharacteristic
236#2363C2212yes—
237#2363C2211yescharacteristic
238#2361C2212yes—
239#2361C2212yes—
240#2360C2212yes—
241#2355C2212yes—
242#2355C2211yescharacteristic
243#2354C2211yescharacteristic
244#2354C2212yes—
245#2352C2212yes—
246#2349C2212yes—
247D4×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2211yescharacteristic
249#2347C2212yes—
250#2347C2212yes—
251#2347C2212yes—
252#2345C2212yes—
253#2345C2212yes—
254#2344C2212yes—
255#2337C2214yes—
256#2336C2214yes—
257#2332C2214yes—
258#2327C2212yes—
259#2324C2212yes—
260#2323C2212yes—
261#2317C2212yes—
262#2317C2212yes—
263#2314C2212yes—
264#2311C2212yes—
265#2311C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2212yes—
270C4×#125C2212yes—
271C4×#126C2212yes—
272C4×#124C2211yescharacteristic
273C4×#124C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2214yes—
277C4×#123C2214yes—
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2212yes—
281#2297C2212yes—
282#2297C2212yes—
283#2296C2212yes—
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2293C2212yes—
289#2285C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300#555—28no—
301#554—28no—
302#541—48no—
303#532—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313#529—416no—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#124C2314yes—
323C2×#124C2312yes—
324C2×#124C2311yescharacteristic
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2314yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2314yes—
379C2×#117C2314yes—
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C42C2311yescharacteristic
386C22×C42C2314yes—
387C22×C42C2312yes—
388C22×C42C2312yes—
389#401C2314yes—
390#401C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2312yes—
413#399C2312yes—
414#398C2312yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2312yes—
438#397C2314yes—
439#396C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2312yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2312yes—
481#393C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2314yes—
488#391C2312yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2314yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2311yescharacteristic
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2314yes—
512#390C2312yes—
513#390C2314yes—
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2311yescharacteristic
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
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#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2314yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
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#385C2312yes—
686#384C2312yes—
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2314yes—
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#383C2312yes—
696#383C2314yes—
697#383C2314yes—
698#383C2314yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2314yes—
706#382C2311yescharacteristic
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#381C2314yes—
711#381C2314yes—
712#381C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807#376C2311yescharacteristic
808#376C2312yes—
809#376C2311yescharacteristic
810C2×#95C2314yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C2×#41—28no—
816C2×#41—44no—
817C2×#41—44no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—42no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855#127—24no—
856#126—28no—
857#126—48no—
858#126—48no—
859#126—48no—
860#125—28no—
861#125—216no—
862#125—44no—
863#125—48no—
864#124—28no—
865#124—216no—
866#124—48no—
867#124—42no—
868#124—44no—
869#123—48no—
870#123—48no—
871#123—48no—
872C22⋊Q8—28no—
873C22⋊Q8—216no—
874C22⋊Q8—48no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—48no—
879C22⋊Q8—42no—
880#121—24no—
881#121—28no—
882#121—28no—
883#121—24no—
884#121—28no—
885#121—48no—
886#121—44no—
887#121—44no—
888#121—42no—
889C4×Q8—24no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—48no—
893C4×Q8—44no—
894C4×Q8—42no—
895C4×Q8—42no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—44no—
904C4×D4—42no—
905C4×D4—44no—
906C4×D4—42no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—48no—
910C4×D4—48no—
911C4×D4#4118yes—
912#117—28no—
913#117—28no—
914#117—24no—
915#117—24no—
916#117—44no—
917#117—44no—
918#117—44no—
919#117—42no—
920#117—48no—
921#117—44no—
922#117—42no—
923#117—48no—
924C2×C4⋊C4—28no—
925C2×C4⋊C4—28no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C42—24no—
1050C2×C42—48no—
1051C2×C42—44no—
1052C2×C42—44no—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2412yes—
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24C2512yes—
1166C24C2512yes—
1167C24C2511yescharacteristic
1168C24C2512yes—
1169#41—816no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—44no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×D4—24no—
1189C2×D4—28no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4C2×#4114yes—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—28no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—28no—
1240C22×C4—24no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—41no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4C2×#4118yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C4⋊C4—22no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—28no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—28no—
1320C4⋊C4—22no—
1321C4⋊C4—44no—
1322C4⋊C4—41no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4C2×#4114yes—
1352C4⋊C4H(5,𝔽2)14yes—
1353C4⋊C42−1+414yes—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—22no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—41no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4C2×#4118yes—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—28no—
1414C42—24no—
1415C42—24no—
1416C42—28no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—24no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—24no—
1430C42—24no—
1431C42—22no—
1432C42—24no—
1433C42—22no—
1434C42—42no—
1435C42—42no—
1436C42—42no—
1437C42—42no—
1438C42—44no—
1439C42—44no—
1440C42—41no—
1441C42—44no—
1442C42—42no—
1443C42—44no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—44no—
1448C42—42no—
1449C42C2×#4114yes—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—21no—
1461C23—22no—
1462C23—21no—
1463C23—22no—
1464C23—22no—
1465C23—21no—
1466C23—22no—
1467C23—22no—
1468C23—21no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—21no—
1476C23—21no—
1477C23C22×#4114yes—
1478C23C2611yescharacteristic
1479Q8—44no—
1480Q8—84no—
1481Q8—84no—
1482Q8—84no—
1483Q8—84no—
1484Q8—88no—
1485D4—28no—
1486D4—48no—
1487D4—44no—
1488D4—44no—
1489D4—84no—
1490D4—88no—
1491D4—84no—
1492D4—84no—
1493D4—88no—
1494D4—84no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—216no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—48no—
1577C2×C4—48no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—48no—
1581C2×C4—48no—
1582C2×C4—44no—
1583C2×C4—88no—
1584C2×C4—84no—
1585C2×C4—88no—
1586C2×C4—88no—
1587C2×C4—84no—
1588C2×C4C22×#4114yes—
1589C2×C4C22×#4112yes—
1590C2×C4C22×#4112yes—
1591C2×C4C22×#4112yes—
1592C2×C4C2×H(5,𝔽2)12yes—
1593C2×C4C2×H(5,𝔽2)12yes—
1594C2×C4C2×H(5,𝔽2)12yes—
1595C2×C4C2×2−1+414yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4#58512yes—
1598C2×C4#58512yes—
1599C2×C4#58512yes—
1600C2×C4#58512yes—
1601C22—24no—
1602C22—24no—
1603C22—24no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—41no—
1611C22—42no—
1612C22—42no—
1613C22—41no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—41no—
1618C22—42no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—42no—
1623C22—41no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—41no—
1628C22—42no—
1629C22C23×#4111yescharacteristic
1630C22C22×H(5,𝔽2)11yescharacteristic
1631C22C22×2−1+411yescharacteristic
1632C22C2×#58511yescharacteristic
1633C22C2×#58511yescharacteristic
1634C22C2×#58511yescharacteristic
1635C22C2×#58511yescharacteristic
1636C4—24no—
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—24no—
1641C4—22no—
1642C4—22no—
1643C4—44no—
1644C4—41no—
1645C4—41no—
1646C4—42no—
1647C4—44no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—41no—
1652C4—42no—
1653C4—42no—
1654C4—41no—
1655C4—41no—
1656C4—42no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—44no—
1662C4—44no—
1663C4—41no—
1664C4—42no—
1665C4#346114yes—
1666C4#352114yes—
1667C2—44no—
1668C2—82no—
1669C2—82no—
1670C2—81no—
1671C2C2×#346111yescharacteristic
1672C2C2×#352111yescharacteristic
1673C2#6280011yescharacteristic
1674C2#6301311yescharacteristic
1675C2#6302211yescharacteristic
1676C2#6302811yescharacteristic
1677C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39469C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42757C2semidirect
2. #42605C2semidirect
3. #41928C2semidirect
4. #41917C2semidirect
5. #40387C2semidirect
6. #40131C2semidirect
7. #39562C2semidirect
8. #39544C2semidirect
9. #39489C2semidirect
10. #39470C2semidirect
12. #39225C2semidirect
13. #38964C2semidirect
14. #38212C2semidirect
15. #37968C2semidirect
16. #37831C2semidirect
17. #37636C2semidirect
18. #37516C2semidirect
19. #36526C2semidirect
20. #36480C2semidirect
21. #36453C2semidirect
22. #36301C2semidirect
23. #36194C2semidirect
24. #36113C2semidirect
25. #35798C2semidirect
26. #35783C2semidirect
27. #35319C2semidirect
28. #35185C2semidirect
29. #35160C2semidirect
30. #35039C2semidirect
31. #34974C2semidirect
32. #34763C2semidirect
33. #34321C2semidirect
34. C4×#554C2semidirect
35. #34155C2semidirect

Maximal subgroups

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

subgroupindex
#427572
#426052
#419282
#419172
#403872
#401312
#395622
#395442
#394892
#394702
#394692
#392252
#389642
#382122
#379682
#378312
#376362
#375162
#365262
#364802
#364532
#363012
#361942
#361132
#357982
#357832
#353192
#351852
#351602
#350392
#349742
#347632
#343212
C4×#5542
#341552