Finite Group Databasebeta

← #7664989

Subgroups — #7664989

Order 512.

4686 conjugacy classes of subgroups.

The subgroup lattice has 1642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#39914C212yesmaximal, complemented
2#39912C212yesmaximal, complemented
3#39907C212yesmaximal, complemented
4#39905C212yesmaximal, complemented
5#39762C211yesmaximal, characteristic, complemented
6#39633C211yesmaximal, characteristic, complemented
7#39193C211yesmaximal, characteristic, complemented
8#39192C211yesmaximal, characteristic, complemented
9#38751C214yesmaximal, complemented
10#38745C214yesmaximal, complemented
11#38739C214yesmaximal, complemented
12#38725C214yesmaximal, complemented
13#38207C212yesmaximal, complemented
14#38200C212yesmaximal, complemented
15#37936C212yesmaximal, complemented
16#37750C212yesmaximal, complemented
17#36425C212yesmaximal, complemented
18#36409C212yesmaximal, complemented
19#36299C211yesmaximal, characteristic, complemented
20#36297C212yesmaximal, complemented
21#36285C211yesmaximal, characteristic, complemented
22#36255C212yesmaximal, complemented
23#36194C211yesmaximal, characteristic, complemented
24#36114C211yesmaximal, characteristic, complemented
25#35323C212yesmaximal, complemented
26#35294C211yesmaximal, characteristic, complemented
27#35247C211yesmaximal, characteristic, complemented
28#35217C212yesmaximal, complemented
29#35214C212yesmaximal, complemented
30#35189C211yesmaximal, characteristic
31#34151C211yesmaximal, characteristic, complemented
32#34127C211yesmaximal, characteristic, complemented
33Q8×#117C211yesmaximal, characteristic, complemented
34C4×#536C211yesmaximal, characteristic, complemented
35#34084C212yesmaximal, complemented
36C2×#536C2211yescharacteristic
37C2×#529C2212yes—
38C2×#529C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic
41#2868C2211yescharacteristic
42#2866C2214yes—
43#2863C2212yes—
44#2863C2214yes—
45#2863C2212yes—
46#2859C2211yescharacteristic
47#2859C2211yescharacteristic
48#2859C2211yescharacteristic
49#2857C2212yes—
50#2855C2212yes—
51#2855C2214yes—
52#2854C2212yes—
53#2852C2214yes—
54#2851C2212yes—
55#2851C2212yes—
56#2850C2212yes—
57#2790C2214yes—
58#2779C2214yes—
59#2776C2214yes—
60#2776C2214yes—
61#2772C2214yes—
62#2770C2214yes—
63#2769C2214yes—
64#2759C2214yes—
65#2758C2214yes—
66#2757C2214yes—
67#2746C2214yes—
68#2744C2214yes—
69#2739C2214yes—
70#2738C2214yes—
71#2737C2214yes—
72#2737C2214yes—
73#2729C2214yes—
74#2725C2214yes—
75#2696C2214yes—
76#2695C2214yes—
77#2695C2214yes—
78#2693C2214yes—
79#2689C2214yes—
80#2687C2214yes—
81#2655C2214yes—
82#2653C2214yes—
83#2652C2214yes—
84#2650C2214yes—
85#2647C2212yes—
86#2642C2212yes—
87#2637C2214yes—
88#2630C2214yes—
89#2629C2212yes—
90#2628C2212yes—
91#2625C2212yes—
92#2625C2212yes—
93#2606C2214yes—
94#2601C2214yes—
95#2594C2214yes—
96#2592C2212yes—
97#2590C2214yes—
98#2590C2214yes—
99#2590C2214yes—
100#2588C2214yes—
101#2586C2214yes—
102#2585C2214yes—
103#2584C2212yes—
104#2582C2211yescharacteristic
105#2582C2211yescharacteristic
106#2582C2211yescharacteristic
107#2577C2214yes—
108#2577C2214yes—
109#2577C2214yes—
110#2573C2214yes—
111#2572C2214yes—
112#2571C2212yes—
113#2570C2212yes—
114#2570C2212yes—
115#2570C2212yes—
116#2565C2212yes—
117#2563C2212yes—
118#2560C2214yes—
119#2550C2212yes—
120#2550C2212yes—
121#2538C2211yescharacteristic
122#2538C2211yescharacteristic
123#2538C2211yescharacteristic
124#2538C2211yescharacteristic
125#2537C2211yescharacteristic
126#2533C2214yes—
127#2533C2214yes—
128#2533C2214yes—
129#2532C2214yes—
130#2532C2214yes—
131#2530C2214yes—
132#2530C2214yes—
133#2527C2214yes—
134#2527C2214yes—
135#2526C2214yes—
136#2516C2214yes—
137#2515C2214yes—
138#2514C2212yes—
139#2514C2212yes—
140#2514C2212yes—
141#2514C2212yes—
142#2513C2212yes—
143#2512C2212yes—
144#2510C2214yes—
145#2509C2212yes—
146#2509C2212yes—
147#2509C2212yes—
148#2509C2212yes—
149#2507C2212yes—
150#2507C2212yes—
151#2504C2212yes—
152#2502C2212yes—
153#2497C2214yes—
154#2497C2212yes—
155#2496C2212yes—
156#2496C2212yes—
157#2495C2212yes—
158#2495C2212yes—
159#2495C2212yes—
160#2492C2212yes—
161#2492C2212yes—
162#2492C2212yes—
163#2490C2212yes—
164#2486C2212yes—
165#2485C2212yes—
166#2478C2214yes—
167#2475C2214yes—
168#2471C2214yes—
169#2470C2214yes—
170#2470C2214yes—
171#2470C2214yes—
172#2466C2214yes—
173#2457C2214yes—
174#2452C2212yes—
175#2451C2212yes—
176#2450C2214yes—
177#2447C2212yes—
178#2446C2212yes—
179#2442C2212yes—
180#2441C2212yes—
181#2441C2212yes—
182#2440C2212yes—
183#2439C2212yes—
184#2439C2212yes—
185#2439C2214yes—
186#2438C2214yes—
187#2438C2214yes—
188#2429C2212yes—
189#2427C2212yes—
190#2422C2212yes—
191#2421C2212yes—
192#2421C2212yes—
193#2420C2212yes—
194#2415C2212yes—
195#2414C2212yes—
196#2413C2214yes—
197#2409C2212yes—
198#2407C2212yes—
199#2374C2212yes—
200#2374C2212yes—
201#2373C2212yes—
202#2373C2212yes—
203#2370C2211yescharacteristic
204#2370C2212yes—
205#2370C2211yescharacteristic
206#2369C2212yes—
207#2367C2211yescharacteristic
208#2367C2211yescharacteristic
209#2363C2211yescharacteristic
210#2363C2211yescharacteristic
211#2362C2211yescharacteristic
212#2362C2211yescharacteristic
213#2361C2212yes—
214#2360C2212yes—
215#2356C2212yes—
216#2355C2211yescharacteristic
217#2355C2211yescharacteristic
218#2355C2212yes—
219#2355C2211yescharacteristic
220#2355C2212yes—
221#2355C2211yescharacteristic
222#2354C2212yes—
223#2352C2212yes—
224#2352C2212yes—
225Q8×C4⋊C4C2211yescharacteristic
226Q8×C4⋊C4C2211yescharacteristic
227D4×C4⋊C4C2211yescharacteristic
228D4×C4⋊C4C2211yescharacteristic
229#2347C2212yes—
230#2345C2212yes—
231#2345C2214yes—
232#2344C2212yes—
233#2344C2212yes—
234#2343C2214yes—
235Q8×C22⋊C4C2212yes—
236#2339C2212yes—
237#2335C2214yes—
238#2335C2214yes—
239#2334C2214yes—
240#2334C2214yes—
241#2331C2212yes—
242#2330C2212yes—
243#2330C2212yes—
244#2327C2211yescharacteristic
245#2327C2211yescharacteristic
246#2326C2211yescharacteristic
247#2326C2212yes—
248#2326C2211yescharacteristic
249#2324C2212yes—
250#2324C2212yes—
251#2323C2212yes—
252#2323C2212yes—
253#2323C2212yes—
254#2323C2212yes—
255#2323C2212yes—
256#2323C2212yes—
257#2322C2212yes—
258#2322C2212yes—
259#2317C2211yescharacteristic
260#2311C2211yescharacteristic
261#2310C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×#124C2211yescharacteristic
265C4×#124C2211yescharacteristic
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2212yes—
268C4×#123C2212yes—
269C4×#123C2212yes—
270#2298C2214yes—
271#2298C2212yes—
272#2296C2214yes—
273#2295C2212yes—
274#2295C2214yes—
275#2295C2212yes—
276#2295C2212yes—
277#2295C2211yescharacteristic
278#2293C2211yescharacteristic
279#2293C2212yes—
280#2293C2214yes—
281#2293C2212yes—
282#2290C2214yes—
283#2290C2212yes—
284#2290C2214yes—
285#2285C2212yes—
286#2285C2211yescharacteristic
287#2285C2212yes—
288#2285C2211yescharacteristic
289#2283C2212yes—
290C42×Q8C2212yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C4×#117C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#536—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307#529—216no—
308#529—28no—
309C2×#126C2314yes—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124C2311yescharacteristic
317C2×#124C2311yescharacteristic
318C2×#124C2311yescharacteristic
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×#123C2312yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×#121C2312yes—
333C2×#121C2311yescharacteristic
334C2×#121C2312yes—
335C4×#41—28no—
336C2×C4×Q8—28no—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2314yes—
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2314yes—
372C2×#117C2314yes—
373C2×#117C2312yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C42C2312yes—
379C22×C42C2312yes—
380C22×C42C2312yes—
381C22×C42C2314yes—
382C22×C42C2311yescharacteristic
383#401C2314yes—
384#401C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#392C2314yes—
455#391C2314yes—
456#391C2311yescharacteristic
457#391C2311yescharacteristic
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2311yescharacteristic
465#391C2311yescharacteristic
466#391C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#390C2314yes—
483#390C2312yes—
484#390C2312yes—
485#390C2311yescharacteristic
486#390C2311yescharacteristic
487#390C2312yes—
488#390C2314yes—
489#390C2312yes—
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#390C2312yes—
493#390C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2314yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2314yes—
550#388C2312yes—
551#388C2314yes—
552#388C2312yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
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#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#386C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#385C2312yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2312yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2312yes—
688#383C2314yes—
689#383C2314yes—
690#383C2314yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2314yes—
701#382C2311yescharacteristic
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#381C2312yes—
707#381C2312yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2314yes—
712#380C2314yes—
713#380C2314yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2311yescharacteristic
803#376C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809C2×#95C2314yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C43C2314yes—
814C43C2312yes—
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—42no—
818C22×Q8—24no—
819C22×Q8—24no—
820C22×Q8—42no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2414yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2414yes—
831C22×D4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2411yescharacteristic
845C4⋊Q8—24no—
846C4⋊Q8—24no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849C4⋊Q8—82no—
850#126—216no—
851#126—28no—
852#126—84no—
853#125—24no—
854#125—28no—
855#125—44no—
856#125—82no—
857#124—24no—
858#124—24no—
859#124#4118yes—
860#123—28no—
861#123—216no—
862#123—28no—
863#123—28no—
864#123—84no—
865C22⋊Q8—28no—
866C22⋊Q8—24no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871C22⋊Q8—44no—
872C22⋊Q8—84no—
873#121—28no—
874#121—24no—
875#121—44no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—28no—
879C4×Q8—24no—
880C4×Q8—24no—
881C4×Q8—28no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—24no—
887C4×Q8—44no—
888C4×Q8—42no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—24no—
894C4×D4—216no—
895C4×D4—24no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—44no—
899C4×D4—42no—
900#117—24no—
901#117—24no—
902#117—216no—
903#117—28no—
904#117—28no—
905#117—24no—
906#117—44no—
907#117—42no—
908#117—42no—
909#117—44no—
910#117—82no—
911#117—84no—
912#117—84no—
913C2×C4⋊C4—28no—
914C2×C4⋊C4—24no—
915C2×C4⋊C4—28no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C42—28no—
1033C2×C42—28no—
1034C2×C42—28no—
1035C2×C42—84no—
1036C2×C42#4118yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2414yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2411yescharacteristic
1087#95C2412yes—
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2414yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2411yescharacteristic
1097#95C2412yes—
1098#95C2411yescharacteristic
1099#95C2412yes—
1100#95C2412yes—
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161C24C2512yes—
1162C24C2511yescharacteristic
1163C24C2512yes—
1164#41—416no—
1165C2×Q8—22no—
1166C2×Q8—24no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—42no—
1179C2×Q8—44no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×Q8—416no—
1183C2×Q8C2×#4114yes—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—28no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—42no—
1194C2×D4—44no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—42no—
1198C2×D4C2×#4114yes—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—24no—
1204C22×C4—28no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—28no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—42no—
1221C22×C4—44no—
1222C22×C4—41no—
1223C22×C4—42no—
1224C22×C4—41no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4C2×#4114yes—
1236C22×C4C2×#4114yes—
1237C22×C4C2×#4114yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2514yes—
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2514yes—
1258C22×C4C2514yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—28no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C42−1+414yes—
1343C22⋊C4—24no—
1344C22⋊C4—28no—
1345C22⋊C4—24no—
1346C22⋊C4—28no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—24no—
1355C22⋊C4—28no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—41no—
1365C22⋊C4—42no—
1366C22⋊C4—41no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4C2×#4118yes—
1384C22⋊C4C2×#4118yes—
1385C42—24no—
1386C42—24no—
1387C42—24no—
1388C42—24no—
1389C42—24no—
1390C42—24no—
1391C42—24no—
1392C42—24no—
1393C42—24no—
1394C42—24no—
1395C42—28no—
1396C42—24no—
1397C42—22no—
1398C42—24no—
1399C42—22no—
1400C42—22no—
1401C42—24no—
1402C42—22no—
1403C42—24no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—42no—
1408C42—44no—
1409C42—44no—
1410C42—44no—
1411C42—41no—
1412C42—41no—
1413C42—42no—
1414C42—42no—
1415C42—44no—
1416C42—42no—
1417C42—44no—
1418C42—42no—
1419C42—44no—
1420C42—44no—
1421C42—42no—
1422C42—41no—
1423C42—41no—
1424C42C2×#4114yes—
1425C42C2×#4114yes—
1426C42C2×#4114yes—
1427C42C2×#4114yes—
1428C42C2×#4114yes—
1429C23—21no—
1430C23—22no—
1431C23—21no—
1432C23—22no—
1433C23—21no—
1434C23—22no—
1435C23—21no—
1436C23—22no—
1437C23—22no—
1438C23—21no—
1439C23—22no—
1440C23—21no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23C22×#4114yes—
1449C23C22×#4112yes—
1450C23C2611yescharacteristic
1451Q8—28no—
1452Q8—48no—
1453Q8—44no—
1454Q8—44no—
1455Q8—44no—
1456Q8—164no—
1457D4—28no—
1458D4—48no—
1459D4—44no—
1460D4—88no—
1461D4—84no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—28no—
1479C2×C4—28no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—44no—
1547C2×C4—48no—
1548C2×C4—416no—
1549C2×C4—48no—
1550C2×C4—48no—
1551C2×C4—48no—
1552C2×C4—48no—
1553C2×C4—48no—
1554C2×C4—84no—
1555C2×C4—84no—
1556C2×C4—88no—
1557C2×C4C22×#4112yes—
1558C2×C4C22×#4112yes—
1559C2×C4C22×#4112yes—
1560C2×C4C22×#4112yes—
1561C2×C4C22×#4112yes—
1562C2×C4C22×#4114yes—
1563C2×C4C22×#4112yes—
1564C2×C4C22×#4112yes—
1565C2×C4C22×#4112yes—
1566C2×C4C22×#4112yes—
1567C2×C4C2×2−1+414yes—
1568C2×C4C2×2−1+412yes—
1569C2×C4#58512yes—
1570C2×C4#58512yes—
1571C22—24no—
1572C22—24no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—24no—
1577C22—41no—
1578C22—41no—
1579C22—42no—
1580C22—42no—
1581C22—41no—
1582C22—42no—
1583C22—42no—
1584C22—41no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22C23×#4111yescharacteristic
1593C22C23×#4111yescharacteristic
1594C22C22×2−1+411yescharacteristic
1595C22C2×#58511yescharacteristic
1596C22C2×#58511yescharacteristic
1597C22H(7,𝔽2)11yescharacteristic
1598C222−1+611yescharacteristic
1599C4—24no—
1600C4—22no—
1601C4—22no—
1602C4—22no—
1603C4—22no—
1604C4—22no—
1605C4—22no—
1606C4—24no—
1607C4—41no—
1608C4—44no—
1609C4—41no—
1610C4—42no—
1611C4—44no—
1612C4—42no—
1613C4—42no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—41no—
1619C4—41no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4—41no—
1625C4—42no—
1626C4—44no—
1627C4—44no—
1628C4—41no—
1629C4#346114yes—
1630C4#347514yes—
1631C2—44no—
1632C2—42no—
1633C2—82no—
1634C2C2×#346111yescharacteristic
1635C2C2×#347511yescharacteristic
1636C2#6285611yescharacteristic
1637C2#6295311yescharacteristic
1638C2#6296911yescharacteristic
1639C2#6300011yescharacteristic
1640C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35189C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #39914C2semidirect
2. #39912C2semidirect
3. #39907C2semidirect
4. #39905C2semidirect
5. #39762C2semidirect
6. #39633C2semidirect
7. #39193C2semidirect
8. #39192C2semidirect
9. #38751C2semidirect
10. #38745C2semidirect
11. #38739C2semidirect
12. #38725C2semidirect
13. #38207C2semidirect
14. #38200C2semidirect
15. #37936C2semidirect
16. #37750C2semidirect
17. #36425C2semidirect
18. #36409C2semidirect
19. #36299C2semidirect
20. #36297C2semidirect
21. #36285C2semidirect
22. #36255C2semidirect
23. #36194C2semidirect
24. #36114C2semidirect
25. #35323C2semidirect
26. #35294C2semidirect
27. #35247C2semidirect
28. #35217C2semidirect
29. #35214C2semidirect
31. #34151C2semidirect
32. #34127C2semidirect
33. Q8×#117C2semidirect
34. C4×#536C2semidirect
35. #34084C2semidirect

Maximal subgroups

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

subgroupindex
#399142
#399122
#399072
#399052
#397622
#396332
#391932
#391922
#387512
#387452
#387392
#387252
#382072
#382002
#379362
#377502
#364252
#364092
#362992
#362972
#362852
#362552
#361942
#361142
#353232
#352942
#352472
#352172
#352142
#351892
#341512
#341272
Q8×#1172
C4×#5362
#340842