Finite Group Databasebeta

← #7653658

Subgroups — #7653658

Order 512.

4678 conjugacy classes of subgroups.

The subgroup lattice has 1639 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42753C212yesmaximal, complemented
2#42613C212yesmaximal, complemented
3#42113C214yesmaximal, complemented
4#42105C214yesmaximal, complemented
5#40375C214yesmaximal, complemented
6#40119C212yesmaximal, complemented
7#39690C212yesmaximal, complemented
8#39617C211yesmaximal, characteristic, complemented
9#39258C212yesmaximal, complemented
10#39214C212yesmaximal, complemented
11#39180C211yesmaximal, characteristic, complemented
12#39126C211yesmaximal, characteristic
13#39125C211yesmaximal, characteristic, complemented
14#37982C212yesmaximal, complemented
15#37960C212yesmaximal, complemented
16#37819C214yesmaximal, complemented
17#37637C211yesmaximal, characteristic, complemented
18#37597C212yesmaximal, complemented
19#36551C211yesmaximal, characteristic, complemented
20#36519C212yesmaximal, complemented
21#36453C211yesmaximal, characteristic, complemented
22#36194C211yesmaximal, characteristic, complemented
23#36193C211yesmaximal, characteristic, complemented
24#36118C212yesmaximal, complemented
25#35911C212yesmaximal, complemented
26#35884C212yesmaximal, complemented
27#35319C211yesmaximal, characteristic, complemented
28#35207C211yesmaximal, characteristic, complemented
29#35203C212yesmaximal, complemented
30#35110C212yesmaximal, complemented
31#34969C211yesmaximal, characteristic, complemented
32#34932C212yesmaximal, complemented
33#34335C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35#34153C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#541C2212yes—
39C2×#529C2211yescharacteristic
40C2×#529C2214yes—
41#2868C2211yescharacteristic
42#2859C2211yescharacteristic
43#2857C2212yes—
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2212yes—
47#2855C2212yes—
48#2854C2212yes—
49#2853C2214yes—
50#2851C2212yes—
51#2851C2212yes—
52#2851C2214yes—
53#2833C2214yes—
54#2831C2214yes—
55#2831C2214yes—
56#2807C2214yes—
57#2789C2214yes—
58#2787C2214yes—
59#2783C2214yes—
60#2782C2214yes—
61#2781C2214yes—
62#2767C2214yes—
63#2755C2214yes—
64#2747C2214yes—
65#2744C2214yes—
66#2739C2214yes—
67#2732C2214yes—
68#2726C2214yes—
69#2719C2214yes—
70#2716C2214yes—
71#2715C2214yes—
72#2704C2214yes—
73#2702C2214yes—
74#2692C2214yes—
75#2691C2214yes—
76#2681C2214yes—
77#2677C2214yes—
78#2677C2214yes—
79#2674C2214yes—
80#2664C2214yes—
81#2660C2212yes—
82#2655C2214yes—
83#2655C2214yes—
84#2655C2214yes—
85#2654C2214yes—
86#2653C2214yes—
87#2652C2214yes—
88#2649C2214yes—
89#2647C2212yes—
90#2647C2212yes—
91#2644C2212yes—
92#2642C2212yes—
93#2638C2214yes—
94#2637C2214yes—
95#2629C2212yes—
96#2629C2212yes—
97#2628C2212yes—
98#2625C2212yes—
99#2621C2212yes—
100#2595C2214yes—
101#2594C2214yes—
102#2590C2214yes—
103#2589C2214yes—
104#2589C2214yes—
105#2588C2214yes—
106#2585C2214yes—
107#2584C2212yes—
108#2582C2212yes—
109#2576C2214yes—
110#2575C2214yes—
111#2571C2212yes—
112#2569C2214yes—
113#2567C2211yescharacteristic
114#2565C2212yes—
115#2563C2211yescharacteristic
116#2563C2211yescharacteristic
117#2563C2211yescharacteristic
118#2562C2212yes—
119#2558C2214yes—
120#2553C2214yes—
121#2553C2214yes—
122#2552C2211yescharacteristic
123#2552C2212yes—
124#2552C2211yescharacteristic
125#2550C2212yes—
126#2550C2212yes—
127#2549C2214yes—
128#2547C2212yes—
129#2542C2212yes—
130#2538C2211yescharacteristic
131#2538C2212yes—
132#2537C2212yes—
133#2537C2211yescharacteristic
134#2536C2212yes—
135#2536C2212yes—
136#2531C2214yes—
137#2530C2214yes—
138#2530C2214yes—
139#2530C2212yes—
140#2527C2214yes—
141#2527C2212yes—
142#2520C2214yes—
143#2520C2214yes—
144#2512C2212yes—
145#2511C2211yescharacteristic
146#2511C2212yes—
147#2509C2212yes—
148#2509C2211yescharacteristic
149#2508C2212yes—
150#2508C2212yes—
151#2507C2212yes—
152#2506C2212yes—
153#2506C2212yes—
154#2506C2212yes—
155#2506C2212yes—
156#2506C2212yes—
157#2497C2212yes—
158#2497C2212yes—
159#2497C2212yes—
160#2496C2212yes—
161#2496C2212yes—
162#2496C2212yes—
163#2496C2212yes—
164#2496C2212yes—
165#2494C2212yes—
166#2494C2212yes—
167#2494C2212yes—
168#2494C2211yescharacteristic
169#2494C2212yes—
170#2492C2211yescharacteristic
171#2492C2214yes—
172#2491C2212yes—
173#2490C2212yes—
174#2489C2214yes—
175#2489C2212yes—
176#2487C2212yes—
177#2478C2214yes—
178#2477C2212yes—
179#2475C2214yes—
180#2475C2214yes—
181#2474C2214yes—
182#2470C2212yes—
183#2469C2214yes—
184#2468C2214yes—
185#2468C2214yes—
186#2462C2214yes—
187#2460C2214yes—
188#2458C2214yes—
189#2454C2214yes—
190#2454C2212yes—
191#2453C2212yes—
192#2452C2211yescharacteristic
193#2450C2214yes—
194#2450C2214yes—
195#2448C2212yes—
196#2447C2211yescharacteristic
197#2444C2214yes—
198#2442C2212yes—
199#2442C2212yes—
200#2440C2212yes—
201#2440C2212yes—
202#2439C2214yes—
203#2438C2214yes—
204#2427C2211yescharacteristic
205#2427C2212yes—
206#2427C2214yes—
207#2426C2212yes—
208#2423C2212yes—
209#2423C2212yes—
210#2422C2211yescharacteristic
211#2422C2212yes—
212#2421C2212yes—
213#2420C2212yes—
214#2416C2212yes—
215#2401C2212yes—
216#2398C2212yes—
217#2395C2214yes—
218#2395C2214yes—
219#2373C2212yes—
220#2373C2212yes—
221#2370C2211yescharacteristic
222#2370C2212yes—
223#2370C2212yes—
224#2370C2211yescharacteristic
225#2369C2212yes—
226#2369C2211yescharacteristic
227#2369C2211yescharacteristic
228#2368C2214yes—
229#2367C2211yescharacteristic
230#2367C2211yescharacteristic
231#2365C2212yes—
232#2365C2214yes—
233#2361C2211yescharacteristic
234#2361C2212yes—
235#2361C2211yescharacteristic
236#2360C2212yes—
237#2360C2211yescharacteristic
238#2360C2211yescharacteristic
239#2359C2212yes—
240#2359C2212yes—
241#2355C2211yescharacteristic
242#2355C2212yes—
243#2355C2211yescharacteristic
244#2355C2212yes—
245#2354C2212yes—
246#2351C2212yes—
247Q8×C4⋊C4C2211yescharacteristic
248#2349C2212yes—
249D4×C4⋊C4C2212yes—
250D4×C4⋊C4C2211yescharacteristic
251#2345C2212yes—
252#2345C2212yes—
253#2345C2212yes—
254#2344C2212yes—
255#2334C2214yes—
256#2332C2214yes—
257#2331C2212yes—
258#2331C2214yes—
259#2330C2212yes—
260#2327C2212yes—
261#2326C2212yes—
262#2324C2212yes—
263#2324C2212yes—
264#2323C2212yes—
265#2314C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×#125C2212yes—
271C4×#124C2211yescharacteristic
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2214yes—
275C4×C22⋊Q8C2214yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281#2298C2212yes—
282#2296C2212yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2293C2211yescharacteristic
287#2290C2212yes—
288#2285C2212yes—
289#2285C2212yes—
290#2276C2212yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299Q82—28no—
300#554—28no—
301#541—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2314yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310#529—28no—
311#529—416no—
312C2×#126C2314yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#124C2311yescharacteristic
325C2×#124C2311yescharacteristic
326C2×#124C2314yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2314yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2314yes—
375C2×#117C2314yes—
376C2×#117C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2314yes—
383C22×C42C2312yes—
384C22×C42C2312yes—
385C22×C42C2312yes—
386#401C2314yes—
387#401C2314yes—
388#401C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2312yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2312yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2312yes—
481#393C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2314yes—
504#391C2311yescharacteristic
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2314yes—
510#390C2314yes—
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2314yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2314yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2314yes—
659#386C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2314yes—
699#382C2314yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2311yescharacteristic
704#382C2314yes—
705#381C2312yes—
706#381C2314yes—
707#381C2314yes—
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2312yes—
727#380C2314yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2314yes—
731#380C2314yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2314yes—
809#376C2311yescharacteristic
810C2×#95C2314yes—
811C2×#95C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2414yes—
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C4⋊Q8—28no—
840C4⋊Q8—216no—
841C4⋊Q8—24no—
842C4⋊Q8—24no—
843C4⋊Q8—28no—
844C4⋊Q8—42no—
845C4⋊Q8—44no—
846C4⋊Q8—44no—
847#126—28no—
848#126—216no—
849#126—48no—
850#126—48no—
851#125—24no—
852#125—28no—
853#125—44no—
854#125—44no—
855#125—48no—
856#125—44no—
857#125—48no—
858#125—48no—
859#124—24no—
860#124—24no—
861#124—48no—
862#123—28no—
863#123—28no—
864#123—48no—
865C22⋊Q8—24no—
866C22⋊Q8—28no—
867C22⋊Q8—216no—
868C22⋊Q8—44no—
869C22⋊Q8—44no—
870C22⋊Q8—48no—
871C22⋊Q8—48no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—42no—
875C22⋊Q8—48no—
876#121—24no—
877#121—28no—
878#121—24no—
879#121—48no—
880#121—44no—
881C4×Q8—28no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—28no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—48no—
888C4×Q8—44no—
889C4×Q8—42no—
890C4×Q8—44no—
891C4×Q8#4118yes—
892C4×D4—24no—
893C4×D4—24no—
894C4×D4—28no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—44no—
900C4×D4—42no—
901C4×D4—42no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—48no—
905C4×D4—48no—
906#117—24no—
907#117—28no—
908#117—44no—
909#117—42no—
910#117—48no—
911#117—48no—
912C2×C4⋊C4—28no—
913C2×C4⋊C4—24no—
914C2×C4⋊C4—28no—
915C2×C4⋊C4—42no—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C42—24no—
1036C2×C42—48no—
1037C2×C42—44no—
1038C2×C42—44no—
1039C2×C42—44no—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24C2512yes—
1161C24C2511yescharacteristic
1162C24C2512yes—
1163C2×Q8—22no—
1164C2×Q8—24no—
1165C2×Q8—24no—
1166C2×Q8—28no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—44no—
1173C2×Q8—42no—
1174C2×Q8—42no—
1175C2×Q8—42no—
1176C2×Q8—44no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8C2×#4114yes—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—28no—
1185C2×D4—22no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D42−1+414yes—
1196C22×C4—22no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—28no—
1217C22×C4—28no—
1218C22×C4—24no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—41no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—44no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—44no—
1234C22×C4—42no—
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2514yes—
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2514yes—
1256C22×C4C2514yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C4⋊C4—28no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—28no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—28no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—28no—
1286C4⋊C4—24no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—28no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—22no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—41no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4C2×#4114yes—
1342C4⋊C4C2×#4118yes—
1343C4⋊C42−1+414yes—
1344C22⋊C4—22no—
1345C22⋊C4—24no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—28no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—22no—
1364C22⋊C4—24no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—41no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
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⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4H(5,𝔽2)14yes—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—28no—
1390C42—24no—
1391C42—24no—
1392C42—28no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—24no—
1398C42—22no—
1399C42—22no—
1400C42—24no—
1401C42—22no—
1402C42—22no—
1403C42—24no—
1404C42—24no—
1405C42—22no—
1406C42—22no—
1407C42—22no—
1408C42—24no—
1409C42—42no—
1410C42—42no—
1411C42—42no—
1412C42—42no—
1413C42—42no—
1414C42—42no—
1415C42—44no—
1416C42—44no—
1417C42—41no—
1418C42—44no—
1419C42—44no—
1420C42—42no—
1421C42—42no—
1422C42—44no—
1423C42—44no—
1424C42C2×#4114yes—
1425C42C2×#4118yes—
1426C23—22no—
1427C23—21no—
1428C23—22no—
1429C23—21no—
1430C23—22no—
1431C23—21no—
1432C23—22no—
1433C23—21no—
1434C23—22no—
1435C23—21no—
1436C23—21no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23C2×H(5,𝔽2)12yes—
1446C23C2×2−1+414yes—
1447C23C2611yescharacteristic
1448Q8—28no—
1449Q8—44no—
1450Q8—84no—
1451Q8—84no—
1452Q8—84no—
1453Q8—88no—
1454D4—28no—
1455D4—48no—
1456D4—48no—
1457D4—44no—
1458D4—88no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—21no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—48no—
1543C2×C4—48no—
1544C2×C4—48no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—48no—
1548C2×C4—44no—
1549C2×C4—48no—
1550C2×C4—88no—
1551C2×C4—84no—
1552C2×C4—88no—
1553C2×C4—84no—
1554C2×C4—84no—
1555C2×C4C22×#4114yes—
1556C2×C4C22×#4112yes—
1557C2×C4C22×#4114yes—
1558C2×C4C22×#4112yes—
1559C2×C4C22×#4112yes—
1560C2×C4C2×H(5,𝔽2)12yes—
1561C2×C4C2×H(5,𝔽2)12yes—
1562C2×C4C2×2−1+414yes—
1563C2×C4C2×2−1+412yes—
1564C2×C4C2×2−1+412yes—
1565C2×C4#58512yes—
1566C2×C4#58512yes—
1567C2×C4#58512yes—
1568C22—22no—
1569C22—24no—
1570C22—22no—
1571C22—24no—
1572C22—24no—
1573C22—22no—
1574C22—42no—
1575C22—41no—
1576C22—42no—
1577C22—41no—
1578C22—41no—
1579C22—42no—
1580C22—42no—
1581C22—41no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22C23×#4111yescharacteristic
1590C22C22×H(5,𝔽2)11yescharacteristic
1591C22C22×2−1+411yescharacteristic
1592C22C22×2−1+411yescharacteristic
1593C22C2×#58511yescharacteristic
1594C22C2×#58511yescharacteristic
1595C22C2×#58511yescharacteristic
1596C4—24no—
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—24no—
1602C4—24no—
1603C4—41no—
1604C4—41no—
1605C4—42no—
1606C4—42no—
1607C4—44no—
1608C4—42no—
1609C4—44no—
1610C4—42no—
1611C4—42no—
1612C4—41no—
1613C4—42no—
1614C4—42no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—42no—
1619C4—42no—
1620C4—41no—
1621C4—44no—
1622C4—42no—
1623C4—44no—
1624C4—41no—
1625C4—42no—
1626C4#346114yes—
1627C4#351614yes—
1628C2—42no—
1629C2—44no—
1630C2—82no—
1631C2C2×#346111yescharacteristic
1632C2C2×#351611yescharacteristic
1633C2#6280011yescharacteristic
1634C2#6301311yescharacteristic
1635C2#6301311yescharacteristic
1636C2#6302811yescharacteristic
1637C2#6303211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39126C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42753C2semidirect
2. #42613C2semidirect
3. #42113C2semidirect
4. #42105C2semidirect
5. #40375C2semidirect
6. #40119C2semidirect
7. #39690C2semidirect
8. #39617C2semidirect
9. #39258C2semidirect
10. #39214C2semidirect
11. #39180C2semidirect
13. #39125C2semidirect
14. #37982C2semidirect
15. #37960C2semidirect
16. #37819C2semidirect
17. #37637C2semidirect
18. #37597C2semidirect
19. #36551C2semidirect
20. #36519C2semidirect
21. #36453C2semidirect
22. #36194C2semidirect
23. #36193C2semidirect
24. #36118C2semidirect
25. #35911C2semidirect
26. #35884C2semidirect
27. #35319C2semidirect
28. #35207C2semidirect
29. #35203C2semidirect
30. #35110C2semidirect
31. #34969C2semidirect
32. #34932C2semidirect
33. #34335C2semidirect
34. C4×#554C2semidirect
35. #34153C2semidirect

Maximal subgroups

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

subgroupindex
#427532
#426132
#421132
#421052
#403752
#401192
#396902
#396172
#392582
#392142
#391802
#391262
#391252
#379822
#379602
#378192
#376372
#375972
#365512
#365192
#364532
#361942
#361932
#361182
#359112
#358842
#353192
#352072
#352032
#351102
#349692
#349322
#343352
C4×#5542
#341532