Finite Group Databasebeta

← #7654305

Subgroups — #7654305

Order 512.

4906 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42749C212yesmaximal, complemented
2#42598C212yesmaximal, complemented
3#41848C214yesmaximal, complemented
4#41843C214yesmaximal, complemented
5#40426C214yesmaximal, complemented
6#40217C212yesmaximal, complemented
7#39792C212yesmaximal, complemented
8#39498C211yesmaximal, characteristic, complemented
9#39080C212yesmaximal, complemented
10#39044C212yesmaximal, complemented
11#38956C211yesmaximal, characteristic, complemented
12#38920C211yesmaximal, characteristic, complemented
13#38909C211yesmaximal, characteristic, complemented
14#38322C214yesmaximal, complemented
15#38252C212yesmaximal, complemented
16#37946C212yesmaximal, complemented
17#37630C211yesmaximal, characteristic, complemented
18#37523C212yesmaximal, complemented
19#36596C211yesmaximal, characteristic, complemented
20#36590C211yesmaximal, characteristic, complemented
21#36442C212yesmaximal, complemented
22#36271C211yesmaximal, characteristic, complemented
23#36229C212yesmaximal, complemented
24#36177C211yesmaximal, characteristic, complemented
25#36055C212yesmaximal, complemented
26#35856C212yesmaximal, complemented
27#35288C211yesmaximal, characteristic, complemented
28#35197C211yesmaximal, characteristic, complemented
29#35160C212yesmaximal, complemented
30#35038C212yesmaximal, complemented
31#34969C211yesmaximal, characteristic, complemented
32#34788C212yesmaximal, complemented
33#34330C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35#34153C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#553C2212yes—
38C2×#550C2211yescharacteristic
39C2×#547C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2212yes—
42#2861C2212yes—
43#2860C2212yes—
44#2859C2211yescharacteristic
45#2858C2211yescharacteristic
46#2857C2211yescharacteristic
47#2856C2212yes—
48#2856C2211yescharacteristic
49#2855C2212yes—
50#2854C2212yes—
51#2852C2214yes—
52#2852C2214yes—
53#2850C2212yes—
54#2839C2214yes—
55#2826C2214yes—
56#2824C2214yes—
57#2807C2214yes—
58#2793C2214yes—
59#2788C2214yes—
60#2778C2214yes—
61#2778C2214yes—
62#2773C2214yes—
63#2760C2214yes—
64#2757C2214yes—
65#2750C2214yes—
66#2749C2214yes—
67#2746C2214yes—
68#2745C2214yes—
69#2743C2214yes—
70#2743C2214yes—
71#2743C2214yes—
72#2743C2214yes—
73#2718C2214yes—
74#2706C2214yes—
75#2703C2214yes—
76#2703C2214yes—
77#2701C2214yes—
78#2691C2214yes—
79#2688C2214yes—
80#2671C2214yes—
81#2663C2214yes—
82#2663C2214yes—
83#2655C2214yes—
84#2649C2214yes—
85#2649C2214yes—
86#2648C2214yes—
87#2648C2214yes—
88#2647C2212yes—
89#2645C2212yes—
90#2645C2212yes—
91#2644C2212yes—
92#2643C2214yes—
93#2643C2214yes—
94#2642C2212yes—
95#2635C2214yes—
96#2628C2212yes—
97#2624C2212yes—
98#2624C2212yes—
99#2624C2212yes—
100#2619C2212yes—
101#2603C2214yes—
102#2601C2214yes—
103#2601C2214yes—
104#2598C2214yes—
105#2598C2214yes—
106#2595C2214yes—
107#2594C2214yes—
108#2592C2212yes—
109#2584C2212yes—
110#2582C2211yescharacteristic
111#2580C2212yes—
112#2575C2214yes—
113#2571C2211yescharacteristic
114#2568C2211yescharacteristic
115#2564C2214yes—
116#2560C2214yes—
117#2559C2214yes—
118#2559C2214yes—
119#2554C2214yes—
120#2552C2211yescharacteristic
121#2548C2211yescharacteristic
122#2546C2211yescharacteristic
123#2545C2212yes—
124#2544C2212yes—
125#2543C2214yes—
126#2542C2212yes—
127#2541C2211yescharacteristic
128#2538C2211yescharacteristic
129#2533C2214yes—
130#2530C2212yes—
131#2527C2212yes—
132#2526C2214yes—
133#2525C2214yes—
134#2525C2214yes—
135#2516C2214yes—
136#2514C2212yes—
137#2514C2212yes—
138#2514C2212yes—
139#2513C2212yes—
140#2513C2212yes—
141#2513C2212yes—
142#2512C2212yes—
143#2512C2212yes—
144#2511C2211yescharacteristic
145#2511C2212yes—
146#2510C2214yes—
147#2510C2214yes—
148#2509C2212yes—
149#2509C2212yes—
150#2509C2212yes—
151#2509C2211yescharacteristic
152#2504C2212yes—
153#2503C2212yes—
154#2498C2214yes—
155#2497C2214yes—
156#2496C2214yes—
157#2496C2214yes—
158#2495C2214yes—
159#2494C2214yes—
160#2494C2212yes—
161#2494C2211yescharacteristic
162#2493C2214yes—
163#2493C2214yes—
164#2492C2211yescharacteristic
165#2490C2212yes—
166#2490C2212yes—
167#2489C2212yes—
168#2487C2212yes—
169#2479C2214yes—
170#2477C2214yes—
171#2477C2212yes—
172#2470C2212yes—
173#2467C2214yes—
174#2464C2214yes—
175#2463C2214yes—
176#2457C2214yes—
177#2457C2214yes—
178#2456C2214yes—
179#2455C2214yes—
180#2454C2212yes—
181#2454C2212yes—
182#2454C2212yes—
183#2453C2212yes—
184#2452C2212yes—
185#2452C2211yescharacteristic
186#2448C2212yes—
187#2447C2211yescharacteristic
188#2447C2212yes—
189#2446C2212yes—
190#2445C2212yes—
191#2445C2212yes—
192#2444C2214yes—
193#2442C2212yes—
194#2441C2212yes—
195#2432C2212yes—
196#2431C2212yes—
197#2431C2212yes—
198#2431C2212yes—
199#2428C2212yes—
200#2427C2212yes—
201#2427C2212yes—
202#2427C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2427C2211yescharacteristic
206#2426C2212yes—
207#2422C2211yescharacteristic
208#2421C2212yes—
209#2420C2212yes—
210#2420C2212yes—
211#2416C2212yes—
212#2416C2212yes—
213#2414C2212yes—
214#2407C2212yes—
215#2407C2212yes—
216#2401C2214yes—
217#2401C2212yes—
218#2398C2212yes—
219#2395C2214yes—
220#2373C2212yes—
221#2373C2212yes—
222#2370C2211yescharacteristic
223#2370C2211yescharacteristic
224#2367C2212yes—
225#2367C2211yescharacteristic
226#2367C2211yescharacteristic
227#2366C2212yes—
228#2366C2211yescharacteristic
229#2365C2211yescharacteristic
230#2364C2214yes—
231#2363C2212yes—
232#2363C2212yes—
233#2362C2212yes—
234#2362C2212yes—
235#2361C2212yes—
236#2361C2211yescharacteristic
237#2361C2211yescharacteristic
238#2360C2211yescharacteristic
239#2360C2212yes—
240#2360C2211yescharacteristic
241#2359C2212yes—
242#2359C2212yes—
243#2359C2214yes—
244#2357C2212yes—
245#2356C2212yes—
246#2355C2211yescharacteristic
247#2354C2211yescharacteristic
248#2354C2211yescharacteristic
249D4×C4⋊C4C2211yescharacteristic
250#2347C2212yes—
251#2344C2212yes—
252#2339C2212yes—
253#2339C2212yes—
254#2335C2214yes—
255#2333C2214yes—
256#2333C2214yes—
257#2328C2212yes—
258#2328C2212yes—
259#2324C2212yes—
260#2319C2212yes—
261#2319C2212yes—
262#2317C2212yes—
263#2317C2212yes—
264#2311C2212yes—
265#2311C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×#127C2211yescharacteristic
269C4×#125C2212yes—
270C4×#124C2211yescharacteristic
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2212yes—
274C4×#123C2212yes—
275C4×#123C2214yes—
276C4×#121C2211yescharacteristic
277C4×#121C2212yes—
278C4×#121C2214yes—
279C4×#121C2212yes—
280C4×#121C2212yes—
281#2298C2212yes—
282#2297C2212yes—
283#2296C2212yes—
284#2295C2211yescharacteristic
285#2295C2211yescharacteristic
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2290C2212yes—
289#2290C2214yes—
290#2283C2212yes—
291#2275C2212yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301#556—48no—
302#553—48no—
303#550—28no—
304#547—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×#127C2311yescharacteristic
309C2×#127C2312yes—
310C2×#127C2312yes—
311#529—28no—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×#121C2314yes—
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C4×#41—48no—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2311yescharacteristic
383C2×#117C2314yes—
384C2×#117C2314yes—
385C2×#117C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2312yes—
392C22×C42C2314yes—
393C22×C42C2312yes—
394C22×C42C2312yes—
395#401C2314yes—
396#401C2314yes—
397#401C2314yes—
398#401C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#396C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#395C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#393C2314yes—
481#393C2312yes—
482#393C2312yes—
483#393C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#391C2312yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2311yescharacteristic
508#391C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2314yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2312yes—
696#385C2314yes—
697#385C2312yes—
698#385C2314yes—
699#385C2312yes—
700#385C2312yes—
701#385C2314yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2312yes—
706#384C2314yes—
707#383C2314yes—
708#383C2314yes—
709#383C2314yes—
710#382C2311yescharacteristic
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#382C2312yes—
716#382C2312yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2314yes—
739#380C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2311yescharacteristic
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809#376C2311yescharacteristic
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—28no—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2414yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C4⋊Q8—24no—
856C4⋊Q8—42no—
857C4⋊Q8—44no—
858#127—28no—
859#127—24no—
860#127—44no—
861#126—28no—
862#126—48no—
863#126—48no—
864#126—48no—
865#125—24no—
866#125—44no—
867#125—44no—
868#124—24no—
869#124—44no—
870#124—42no—
871#124—44no—
872#124—44no—
873#123—28no—
874#123—216no—
875#123—44no—
876#123—48no—
877#123—48no—
878C22⋊Q8—24no—
879C22⋊Q8—28no—
880C22⋊Q8—44no—
881C22⋊Q8—48no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—42no—
885#121—24no—
886#121—28no—
887#121—28no—
888#121—216no—
889#121—48no—
890#121—48no—
891#121—44no—
892#121—44no—
893#121—42no—
894#121—44no—
895#121—44no—
896#121—44no—
897#121—48no—
898C4×Q8—28no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—44no—
903C4×Q8—42no—
904C4×Q8—44no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—24no—
908C4×D4—28no—
909C4×D4—24no—
910C4×D4—44no—
911C4×D4—48no—
912C4×D4—44no—
913C4×D4—42no—
914C4×D4—42no—
915C4×D4—42no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—48no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—48no—
923C4×D4—48no—
924C4×D4—44no—
925C4×D4#4118yes—
926#117—28no—
927#117—28no—
928#117—44no—
929#117—48no—
930#117—42no—
931#117—48no—
932#117—42no—
933#117—44no—
934C2×C4⋊C4—28no—
935C2×C4⋊C4—24no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4—42no—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C42—24no—
1058C2×C42—44no—
1059C2×C42—48no—
1060C2×C42—44no—
1061C2×C42—44no—
1062C2×C42C2414yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173C24C2512yes—
1174C24C2514yes—
1175C24C2512yes—
1176C24C2511yescharacteristic
1177#41—432no—
1178#41—816no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—24no—
1194C2×D4—28no—
1195C2×D4—28no—
1196C2×D4—28no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—44no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4C2×#4114yes—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—28no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—28no—
1248C22×C4—24no—
1249C22×C4—28no—
1250C22×C4—24no—
1251C22×C4—44no—
1252C22×C4—42no—
1253C22×C4—41no—
1254C22×C4—44no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4C2×#4118yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2514yes—
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—28no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4C2×#4114yes—
1370C4⋊C4H(5,𝔽2)14yes—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—22no—
1385C22⋊C4—28no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—41no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4C2×#4118yes—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—24no—
1432C42—24no—
1433C42—22no—
1434C42—28no—
1435C42—28no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—22no—
1440C42—22no—
1441C42—24no—
1442C42—24no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—42no—
1454C42—42no—
1455C42—44no—
1456C42—41no—
1457C42—44no—
1458C42—41no—
1459C42—41no—
1460C42—42no—
1461C42—44no—
1462C42—42no—
1463C42—42no—
1464C42C2×#4114yes—
1465C23—21no—
1466C23—22no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—22no—
1471C23—21no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—21no—
1477C23—22no—
1478C23—24no—
1479C23—22no—
1480C23—24no—
1481C23—24no—
1482C23—22no—
1483C23—22no—
1484C23—24no—
1485C23—22no—
1486C23—24no—
1487C23—22no—
1488C23—24no—
1489C23—24no—
1490C23—22no—
1491C23C22×#4114yes—
1492C23#58512yes—
1493C23C2611yescharacteristic
1494Q8—44no—
1495Q8—48no—
1496Q8—44no—
1497Q8—84no—
1498D4—28no—
1499D4—48no—
1500D4—416no—
1501D4—48no—
1502D4—44no—
1503D4—48no—
1504D4—84no—
1505D4—88no—
1506D4—84no—
1507D4—88no—
1508D4—88no—
1509D4—164no—
1510D4—164no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—216no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—24no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—48no—
1596C2×C4—44no—
1597C2×C4—416no—
1598C2×C4—44no—
1599C2×C4—48no—
1600C2×C4—44no—
1601C2×C4—84no—
1602C2×C4—88no—
1603C2×C4—84no—
1604C2×C4—88no—
1605C2×C4—84no—
1606C2×C4—84no—
1607C2×C4—88no—
1608C2×C4—84no—
1609C2×C4—164no—
1610C2×C4C22×#4112yes—
1611C2×C4C22×#4114yes—
1612C2×C4C22×#4112yes—
1613C2×C4C22×#4112yes—
1614C2×C4C2×H(5,𝔽2)14yes—
1615C2×C4C2×H(5,𝔽2)12yes—
1616C2×C4#58512yes—
1617C2×C4#58512yes—
1618C2×C4#58512yes—
1619C2×C4#58512yes—
1620C22—22no—
1621C22—22no—
1622C22—24no—
1623C22—22no—
1624C22—24no—
1625C22—24no—
1626C22—42no—
1627C22—41no—
1628C22—42no—
1629C22—42no—
1630C22—41no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—42no—
1635C22—44no—
1636C22—42no—
1637C22—44no—
1638C22—42no—
1639C22—44no—
1640C22—44no—
1641C22—42no—
1642C22—44no—
1643C22—42no—
1644C22—44no—
1645C22—42no—
1646C22—42no—
1647C22—44no—
1648C22C23×#4111yescharacteristic
1649C22C22×H(5,𝔽2)11yescharacteristic
1650C22C2×#58511yescharacteristic
1651C22C2×#58511yescharacteristic
1652C22C2×#58511yescharacteristic
1653C22C2×#58511yescharacteristic
1654C22C2×#58511yescharacteristic
1655C4—22no—
1656C4—24no—
1657C4—24no—
1658C4—22no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—42no—
1666C4—44no—
1667C4—42no—
1668C4—41no—
1669C4—41no—
1670C4—42no—
1671C4—42no—
1672C4—41no—
1673C4—42no—
1674C4—41no—
1675C4—44no—
1676C4—41no—
1677C4—41no—
1678C4—42no—
1679C4—42no—
1680C4—41no—
1681C4—42no—
1682C4—44no—
1683C4—42no—
1684C4#346014yes—
1685C4#352114yes—
1686C2—42no—
1687C2—44no—
1688C2—82no—
1689C2—84no—
1690C2C2×#346011yescharacteristic
1691C2C2×#352111yescharacteristic
1692C2#6281011yescharacteristic
1693C2#6301811yescharacteristic
1694C2#6301911yescharacteristic
1695C2#6302911yescharacteristic
1696C2#6303611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42749C2semidirect
2. #42598C2semidirect
3. #41848C2semidirect
4. #41843C2semidirect
5. #40426C2semidirect
6. #40217C2semidirect
7. #39792C2semidirect
8. #39498C2semidirect
9. #39080C2semidirect
10. #39044C2semidirect
11. #38956C2semidirect
12. #38920C2semidirect
13. #38909C2semidirect
14. #38322C2semidirect
15. #38252C2semidirect
16. #37946C2semidirect
17. #37630C2semidirect
18. #37523C2semidirect
19. #36596C2semidirect
20. #36590C2semidirect
21. #36442C2semidirect
22. #36271C2semidirect
23. #36229C2semidirect
24. #36177C2semidirect
25. #36055C2semidirect
26. #35856C2semidirect
27. #35288C2semidirect
28. #35197C2semidirect
29. #35160C2semidirect
30. #35038C2semidirect
31. #34969C2semidirect
32. #34788C2semidirect
33. #34330C2semidirect
34. C4×#547C2semidirect
35. #34153C2semidirect

Maximal subgroups

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

subgroupindex
#427492
#425982
#418482
#418432
#404262
#402172
#397922
#394982
#390802
#390442
#389562
#389202
#389092
#383222
#382522
#379462
#376302
#375232
#365962
#365902
#364422
#362712
#362292
#361772
#360552
#358562
#352882
#351972
#351602
#350382
#349692
#347882
#343302
C4×#5472
#341532