Finite Group Databasebeta

← #7646515

Subgroups — #7646515

Order 512.

4854 conjugacy classes of subgroups.

The subgroup lattice has 1731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42982C212yesmaximal, complemented
2#42974C212yesmaximal, complemented
3#42957C212yesmaximal, complemented
4#42956C212yesmaximal, complemented
5#41972C214yesmaximal, complemented
6#41970C214yesmaximal, complemented
7#39506C211yesmaximal, characteristic, complemented
8#39505C211yesmaximal, characteristic, complemented
9#39378C211yesmaximal, characteristic, complemented
10#39377C211yesmaximal, characteristic, complemented
11#39193C211yesmaximal, characteristic, complemented
12#39193C211yesmaximal, characteristic, complemented
13#39192C211yesmaximal, characteristic, complemented
14#39191C211yesmaximal, characteristic, complemented
15#37858C212yesmaximal, complemented
16#37856C212yesmaximal, complemented
17#37670C212yesmaximal, complemented
18#37668C212yesmaximal, complemented
19#37582C212yesmaximal, complemented
20#37579C212yesmaximal, complemented
21#36787C214yesmaximal, complemented
22#36784C214yesmaximal, complemented
23#35590C212yesmaximal, complemented
24#35588C212yesmaximal, complemented
25#35294C211yesmaximal, characteristic, complemented
26#35236C211yesmaximal, characteristic, complemented
27#35230C212yesmaximal, complemented
28#35229C212yesmaximal, complemented
29#35218C212yesmaximal, complemented
30#35169C212yesmaximal, complemented
31#34935C211yesmaximal, characteristic, complemented
32#34910C211yesmaximal, characteristic, complemented
33#34242C211yesmaximal, characteristic, complemented
34#34127C211yesmaximal, characteristic, complemented
35#34058C211yesmaximal, characteristic, complemented
36C2×#542C2212yescomplemented
37C2×#540C2212yescomplemented
38C2×#529C2211yescharacteristic
39C2×#525C2212yes—
40C2×C4×#41C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42#2868C2211yescharacteristic, complemented
43#2859C2211yescharacteristic, complemented
44#2859C2211yescharacteristic, complemented
45#2859C2211yescharacteristic, complemented
46#2854C2214yescomplemented
47#2853C2214yescomplemented
48#2852C2214yescomplemented
49#2850C2214yescomplemented
50#2848C2212yes—
51#2847C2212yes—
52#2839C2214yescomplemented
53#2836C2214yescomplemented
54#2830C2214yes—
55#2829C2214yes—
56#2795C2214yescomplemented
57#2783C2214yescomplemented
58#2783C2214yescomplemented
59#2779C2214yescomplemented
60#2779C2214yescomplemented
61#2772C2214yescomplemented
62#2757C2214yescomplemented
63#2757C2214yescomplemented
64#2753C2214yescomplemented
65#2744C2214yes—
66#2743C2214yes—
67#2738C2214yes—
68#2737C2214yes—
69#2735C2214yes—
70#2735C2214yes—
71#2731C2214yescomplemented
72#2725C2214yescomplemented
73#2718C2214yescomplemented
74#2711C2214yescomplemented
75#2706C2214yes—
76#2701C2214yescomplemented
77#2701C2214yescomplemented
78#2697C2214yes—
79#2695C2214yes—
80#2693C2214yes—
81#2687C2214yes—
82#2685C2214yes—
83#2684C2214yes—
84#2684C2214yes—
85#2678C2214yes—
86#2674C2214yescomplemented
87#2668C2214yes—
88#2667C2214yescomplemented
89#2666C2214yescomplemented
90#2663C2214yescomplemented
91#2661C2214yes—
92#2654C2214yescomplemented
93#2652C2214yescomplemented
94#2651C2214yes—
95#2651C2214yescomplemented
96#2651C2214yescomplemented
97#2650C2214yescomplemented
98#2648C2214yes—
99#2648C2214yes—
100#2636C2214yes—
101#2629C2212yes—
102#2629C2212yescomplemented
103#2628C2212yes—
104#2628C2212yescomplemented
105#2625C2212yescomplemented
106#2625C2212yescomplemented
107#2625C2212yescomplemented
108#2624C2212yescomplemented
109#2621C2212yescomplemented
110#2620C2212yescomplemented
111#2602C2212yes—
112#2602C2212yes—
113#2601C2212yescomplemented
114#2601C2212yescomplemented
115#2597C2214yescomplemented
116#2595C2214yescomplemented
117#2578C2214yescomplemented
118#2577C2214yescomplemented
119#2573C2214yescomplemented
120#2573C2214yescomplemented
121#2572C2214yescomplemented
122#2570C2212yescomplemented
123#2570C2212yescomplemented
124#2566C2211yescharacteristic, complemented
125#2565C2211yescharacteristic, complemented
126#2562C2212yes—
127#2559C2214yescomplemented
128#2557C2214yescomplemented
129#2555C2214yes—
130#2554C2214yes—
131#2553C2214yescomplemented
132#2550C2212yescomplemented
133#2550C2212yescomplemented
134#2545C2211yescharacteristic, complemented
135#2544C2211yescharacteristic, complemented
136#2540C2212yes—
137#2538C2211yescharacteristic
138#2538C2211yescharacteristic
139#2538C2211yescharacteristic
140#2538C2211yescharacteristic
141#2537C2211yescharacteristic
142#2537C2211yescharacteristic
143#2537C2211yescharacteristic
144#2537C2211yescharacteristic
145#2536C2212yes—
146#2535C2212yes—
147#2534C2214yes—
148#2532C2214yescomplemented
149#2531C2214yescomplemented
150#2529C2214yescomplemented
151#2526C2214yescomplemented
152#2522C2214yescomplemented
153#2521C2214yescomplemented
154#2516C2214yescomplemented
155#2515C2214yescomplemented
156#2513C2212yes—
157#2513C2212yes—
158#2513C2212yes—
159#2512C2212yes—
160#2509C2212yescomplemented
161#2508C2212yescomplemented
162#2508C2212yescomplemented
163#2507C2212yescomplemented
164#2504C2212yes—
165#2504C2212yes—
166#2501C2212yes—
167#2500C2212yes—
168#2500C2211yescharacteristic
169#2499C2211yescharacteristic
170#2497C2212yescomplemented
171#2497C2212yescomplemented
172#2496C2212yescomplemented
173#2496C2212yescomplemented
174#2495C2212yescomplemented
175#2495C2212yescomplemented
176#2495C2212yescomplemented
177#2495C2212yescomplemented
178#2492C2212yescomplemented
179#2491C2212yes—
180#2491C2212yes—
181#2491C2212yescomplemented
182#2490C2212yes—
183#2490C2212yes—
184#2489C2212yescomplemented
185#2489C2212yescomplemented
186#2487C2212yes—
187#2487C2212yescomplemented
188#2486C2212yes—
189#2486C2212yescomplemented
190#2486C2212yescomplemented
191#2485C2212yescomplemented
192#2468C2214yescomplemented
193#2457C2214yescomplemented
194#2450C2214yescomplemented
195#2447C2214yescomplemented
196#2444C2214yescomplemented
197#2442C2212yescomplemented
198#2442C2212yescomplemented
199#2441C2212yes—
200#2441C2212yes—
201#2440C2212yescomplemented
202#2439C2212yes—
203#2439C2212yes—
204#2439C2212yescomplemented
205#2432C2211yescharacteristic
206#2431C2211yescharacteristic
207#2429C2212yescomplemented
208#2428C2212yescomplemented
209#2427C2212yescomplemented
210#2427C2212yescomplemented
211#2425C2214yescomplemented
212#2423C2212yescomplemented
213#2422C2212yescomplemented
214#2420C2214yescomplemented
215#2420C2212yescomplemented
216#2420C2212yescomplemented
217#2419C2214yescomplemented
218#2416C2212yes—
219#2416C2212yes—
220#2416C2212yes—
221#2414C2212yes—
222#2411C2214yes—
223#2408C2212yes—
224#2408C2212yes—
225#2392C2212yes—
226#2392C2212yes—
227#2392C2214yes—
228#2373C2214yescomplemented
229#2363C2212yes—
230#2362C2212yes—
231#2355C2211yescharacteristic, complemented
232#2355C2211yescharacteristic, complemented
233#2355C2211yescharacteristic, complemented
234#2354C2212yes—
235#2354C2211yescharacteristic, complemented
236#2352C2212yes—
237#2352C2212yes—
238#2352C2212yes—
239Q8×C4⋊C4C2211yescharacteristic, complemented
240D4×C4⋊C4C2211yescharacteristic, complemented
241D4×C4⋊C4C2211yescharacteristic, complemented
242D4×C4⋊C4C2211yescharacteristic, complemented
243#2347C2212yes—
244#2343C2214yescomplemented
245#2339C2212yes—
246#2335C2214yes—
247#2331C2212yescomplemented
248#2330C2212yescomplemented
249#2324C2212yes—
250#2324C2212yes—
251#2324C2212yescomplemented
252#2324C2212yescomplemented
253#2324C2212yescomplemented
254#2323C2212yescomplemented
255#2319C2211yescharacteristic
256#2319C2211yescharacteristic
257#2319C2211yescharacteristic
258#2319C2211yescharacteristic
259#2319C2212yes—
260#2319C2212yes—
261#2316C2211yescharacteristic
262#2316C2211yescharacteristic
263#2314C2212yescomplemented
264#2314C2212yescomplemented
265#2314C2212yescomplemented
266#2312C2212yes—
267#2312C2212yes—
268#2309C2211yescharacteristic
269#2309C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic, complemented
271C4×#127C2211yescharacteristic, complemented
272C4×#125C2212yescomplemented
273C4×#124C2211yescharacteristic, complemented
274C4×#124C2211yescharacteristic, complemented
275C4×#124C2212yescomplemented
276C4×#121C2212yes—
277C4×#121C2212yes—
278#2295C2212yescomplemented
279#2293C2211yescharacteristic
280#2293C2211yescharacteristic
281#2293C2211yescharacteristic
282#2293C2211yescharacteristic
283#2293C2212yes—
284#2293C2212yes—
285#2290C2214yes—
286#2290C2212yescomplemented
287#2290C2212yescomplemented
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2283C2212yescomplemented
291#2280C2212yes—
292#2280C2212yes—
293#2280C2212yes—
294#2274C2212yescomplemented
295C42×D4C2212yescomplemented
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yescomplemented
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#542—48no—
303#540—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×#127C2311yescharacteristic
309#529—28no—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#124C2311yescharacteristic
318C2×#124C2311yescharacteristic
319C2×#124C2311yescharacteristic
320C2×#124C2314yes—
321C2×#124C2314yes—
322#525—48no—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C4×#41—28no—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×D4—28no—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C22⋊C4C2312yes—
393C22×C42C2312yes—
394C22×C42C2314yes—
395C22×C42C2311yescharacteristic
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#398C2312yes—
415#398C2312yes—
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#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#396C2312yes—
451#396C2312yes—
452#396C2314yes—
453#396C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#395C2314yes—
467#395C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#392C2314yes—
496#392C2312yes—
497#392C2312yes—
498#392C2314yes—
499#392C2314yes—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2314yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2314yes—
510#390C2311yescharacteristic
511#390C2312yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
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#386C2314yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#383C2314yes—
701#383C2314yes—
702#383C2314yes—
703#382C2312yes—
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#381C2312yes—
716#381C2314yes—
717#381C2312yes—
718#381C2314yes—
719#381C2312yes—
720#381C2312yes—
721#381C2314yes—
722#381C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#379C2312yes—
754#379C2312yes—
755#379C2312yes—
756#379C2312yes—
757#379C2314yes—
758#379C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808#376C2311yescharacteristic
809#376C2311yescharacteristic
810#376C2312yes—
811#376C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—42no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2414yes—
823C22×D4—24no—
824C22×D4—42no—
825C22×D4—42no—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4—28no—
840C23×C4—44no—
841C23×C4—44no—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2411yescharacteristic
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—42no—
860C4⋊Q8—82no—
861#127—24no—
862#126—28no—
863#126—48no—
864#126—84no—
865#125—24no—
866#125—44no—
867#125—44no—
868#125—82no—
869#124—24no—
870#124—24no—
871#124—42no—
872#124—48no—
873#124—84no—
874#123—28no—
875#123—48no—
876#123—48no—
877#123—48no—
878#123—48no—
879#123—84no—
880C22⋊Q8—24no—
881C22⋊Q8—48no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886#121—28no—
887#121—28no—
888#121—24no—
889#121—48no—
890#121—44no—
891#121—44no—
892#121—44no—
893#121—44no—
894#121—44no—
895#121—44no—
896#121—48no—
897#121—84no—
898#120—48no—
899#120—84no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—24no—
903C4×Q8—44no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—28no—
914C4×D4—24no—
915C4×D4—24no—
916C4×D4—24no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—48no—
922C4×D4—48no—
923#117—24no—
924#117—28no—
925#117—28no—
926#117—44no—
927#117—44no—
928#117—42no—
929#117—42no—
930#117—44no—
931#117—44no—
932#117—42no—
933#117—42no—
934#117—44no—
935#117—44no—
936#117—82no—
937C2×C4⋊C4—24no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C22⋊C4—28no—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
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×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C42—28no—
1077C2×C42—84no—
1078C2×C42#4118yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2414yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2412yes—
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176C24—24no—
1177C24—42no—
1178C24—42no—
1179C24—42no—
1180C24—42no—
1181C24—42no—
1182C24—42no—
1183C24C2512yes—
1184C24C2512yes—
1185C24C2512yes—
1186C24C2511yescharacteristic
1187C24C2512yes—
1188#41—416no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—28no—
1202C2×D4—28no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—416no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4H(5,𝔽2)14yes—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—28no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—42no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—816no—
1281C22×C4C2×#4114yes—
1282C22×C4C2×#4114yes—
1283C22×C4C2×#4114yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2514yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2514yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C42—24no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—22no—
1454C42—22no—
1455C42—24no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—42no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42—41no—
1467C42—41no—
1468C42—42no—
1469C42—44no—
1470C42—42no—
1471C42—42no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—41no—
1476C42—41no—
1477C42C2×#4114yes—
1478C42C2×#4114yes—
1479C42C2×#4114yes—
1480C42C2×#4114yes—
1481C23—22no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—21no—
1489C23—21no—
1490C23—22no—
1491C23—22no—
1492C23—21no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—48no—
1515C23—84no—
1516C23—84no—
1517C23—84no—
1518C23—84no—
1519C23—84no—
1520C23—84no—
1521C23C22×#4112yes—
1522C23C2×H(5,𝔽2)14yes—
1523C23C2611yescharacteristic
1524Q8—44no—
1525Q8—44no—
1526Q8—164no—
1527D4—28no—
1528D4—48no—
1529D4—48no—
1530D4—44no—
1531D4—44no—
1532D4—44no—
1533D4—84no—
1534D4—84no—
1535D4—88no—
1536D4—88no—
1537D4—84no—
1538D4—164no—
1539D4—164no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—28no—
1549C2×C4—28no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—24no—
1621C2×C4—22no—
1622C2×C4—44no—
1623C2×C4—48no—
1624C2×C4—48no—
1625C2×C4—48no—
1626C2×C4—48no—
1627C2×C4—48no—
1628C2×C4—48no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—88no—
1632C2×C4—84no—
1633C2×C4—88no—
1634C2×C4—164no—
1635C2×C4C22×#4112yes—
1636C2×C4C22×#4112yes—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4112yes—
1639C2×C4C22×#4112yes—
1640C2×C4C22×#4112yes—
1641C2×C4C2×H(5,𝔽2)12yes—
1642C2×C4#58512yes—
1643C2×C4#58512yes—
1644C2×C4#58512yes—
1645C22—22no—
1646C22—24no—
1647C22—22no—
1648C22—24no—
1649C22—24no—
1650C22—22no—
1651C22—42no—
1652C22—41no—
1653C22—41no—
1654C22—42no—
1655C22—41no—
1656C22—42no—
1657C22—41no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—816no—
1681C22C23×#4111yescharacteristic
1682C22C22×H(5,𝔽2)11yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22C2×#58511yescharacteristic
1685C22C2×#58511yescharacteristic
1686C22H(7,𝔽2)11yescharacteristic
1687C222−1+611yescharacteristic
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—22no—
1692C4—42no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—44no—
1700C4—41no—
1701C4—44no—
1702C4—41no—
1703C4—41no—
1704C4—42no—
1705C4—44no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—42no—
1710C4—44no—
1711C4—41no—
1712C4—41no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4#345514yes—
1717C4#349414yes—
1718C2—44no—
1719C2—42no—
1720C2—82no—
1721C2—82no—
1722C2—82no—
1723C2C2×#345511yescharacteristic
1724C2C2×#349411yescharacteristic
1725C2#6285611yescharacteristic
1726C2#6292011yescharacteristic
1727C2#6292111yescharacteristic
1728C2#6293811yescharacteristic
1729C2#6293911yescharacteristic
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. #42982C2semidirect
2. #42974C2semidirect
3. #42957C2semidirect
4. #42956C2semidirect
5. #41972C2semidirect
6. #41970C2semidirect
7. #39506C2semidirect
8. #39505C2semidirect
9. #39378C2semidirect
10. #39377C2semidirect
11. #39193C2semidirect
12. #39193C2semidirect
13. #39192C2semidirect
14. #39191C2semidirect
15. #37858C2semidirect
16. #37856C2semidirect
17. #37670C2semidirect
18. #37668C2semidirect
19. #37582C2semidirect
20. #37579C2semidirect
21. #36787C2semidirect
22. #36784C2semidirect
23. #35590C2semidirect
24. #35588C2semidirect
25. #35294C2semidirect
26. #35236C2semidirect
27. #35230C2semidirect
28. #35229C2semidirect
29. #35218C2semidirect
30. #35169C2semidirect
31. #34935C2semidirect
32. #34910C2semidirect
33. #34242C2semidirect
34. #34127C2semidirect
35. #34058C2semidirect
36. C2×#542C22semidirect
37. C2×#540C22semidirect
42. #2868C22semidirect
43. #2859C22semidirect
44. #2859C22semidirect
45. #2859C22semidirect
46. #2854C22semidirect
47. #2853C22semidirect
48. #2852C22semidirect
49. #2850C22semidirect
52. #2839C22semidirect
53. #2836C22semidirect
56. #2795C22semidirect
57. #2783C22semidirect
58. #2783C22semidirect
59. #2779C22semidirect
60. #2779C22semidirect
61. #2772C22semidirect
62. #2757C22semidirect
63. #2757C22semidirect
64. #2753C22semidirect
71. #2731C22semidirect
72. #2725C22semidirect
73. #2718C22semidirect
74. #2711C22semidirect
76. #2701C22semidirect
77. #2701C22semidirect
86. #2674C22semidirect
88. #2667C22semidirect
89. #2666C22semidirect
90. #2663C22semidirect
92. #2654C22semidirect
93. #2652C22semidirect
95. #2651C22semidirect
96. #2651C22semidirect
97. #2650C22semidirect
102. #2629C22semidirect
104. #2628C22semidirect
105. #2625C22semidirect
106. #2625C22semidirect
107. #2625C22semidirect
108. #2624C22semidirect
109. #2621C22semidirect
110. #2620C22semidirect
113. #2601C22semidirect
114. #2601C22semidirect
115. #2597C22semidirect
116. #2595C22semidirect
117. #2578C22semidirect
118. #2577C22semidirect
119. #2573C22semidirect
120. #2573C22semidirect
121. #2572C22semidirect
122. #2570C22semidirect
123. #2570C22semidirect
124. #2566C22semidirect
125. #2565C22semidirect
127. #2559C22semidirect
128. #2557C22semidirect
131. #2553C22semidirect
132. #2550C22semidirect
133. #2550C22semidirect
134. #2545C22semidirect
135. #2544C22semidirect
148. #2532C22semidirect
149. #2531C22semidirect
150. #2529C22semidirect
151. #2526C22semidirect
152. #2522C22semidirect
153. #2521C22semidirect
154. #2516C22semidirect
155. #2515C22semidirect
160. #2509C22semidirect
161. #2508C22semidirect
162. #2508C22semidirect
163. #2507C22semidirect
170. #2497C22semidirect
171. #2497C22semidirect
172. #2496C22semidirect
173. #2496C22semidirect
174. #2495C22semidirect
175. #2495C22semidirect
176. #2495C22semidirect
177. #2495C22semidirect
178. #2492C22semidirect
181. #2491C22semidirect
184. #2489C22semidirect
185. #2489C22semidirect
187. #2487C22semidirect
189. #2486C22semidirect
190. #2486C22semidirect
191. #2485C22semidirect
192. #2468C22semidirect
193. #2457C22semidirect
194. #2450C22semidirect
195. #2447C22semidirect
196. #2444C22semidirect
197. #2442C22semidirect
198. #2442C22semidirect
201. #2440C22semidirect
204. #2439C22semidirect
207. #2429C22semidirect
208. #2428C22semidirect
209. #2427C22semidirect
210. #2427C22semidirect
211. #2425C22semidirect
212. #2423C22semidirect
213. #2422C22semidirect
214. #2420C22semidirect
215. #2420C22semidirect
216. #2420C22semidirect
217. #2419C22semidirect
228. #2373C22semidirect
231. #2355C22semidirect
232. #2355C22semidirect
233. #2355C22semidirect
235. #2354C22semidirect
239. Q8×C4⋊C4C22semidirect
240. D4×C4⋊C4C22semidirect
241. D4×C4⋊C4C22semidirect
242. D4×C4⋊C4C22semidirect
244. #2343C22semidirect
247. #2331C22semidirect
248. #2330C22semidirect
251. #2324C22semidirect
252. #2324C22semidirect
253. #2324C22semidirect
254. #2323C22semidirect
263. #2314C22semidirect
264. #2314C22semidirect
265. #2314C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×#127C22semidirect
272. C4×#125C22semidirect
273. C4×#124C22semidirect
274. C4×#124C22semidirect
275. C4×#124C22semidirect
278. #2295C22semidirect
286. #2290C22semidirect
287. #2290C22semidirect
290. #2283C22semidirect
294. #2274C22semidirect
295. C42×D4C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#429822
#429742
#429572
#429562
#419722
#419702
#395062
#395052
#393782
#393772
#391932
#391922
#391912
#378582
#378562
#376702
#376682
#375822
#375792
#367872
#367842
#355902
#355882
#352942
#352362
#352302
#352292
#352182
#351692
#349352
#349102
#342422
#341272
#340582