Finite Group Databasebeta

← #7657975

Subgroups — #7657975

Order 512.

4710 conjugacy classes of subgroups.

The subgroup lattice has 1693 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42472C212yesmaximal, complemented
2#42470C212yesmaximal, complemented
3#42453C212yesmaximal, complemented
4#42450C212yesmaximal, complemented
5#41026C214yesmaximal, complemented
6#41018C214yesmaximal, complemented
7#41011C214yesmaximal, complemented
8#41006C214yesmaximal, complemented
9#39506C211yesmaximal, characteristic, complemented
10#39377C211yesmaximal, characteristic, complemented
11#39272C212yesmaximal, complemented
12#39271C212yesmaximal, complemented
13#39193C211yesmaximal, characteristic, complemented
14#39192C211yesmaximal, characteristic, complemented
15#37963C212yesmaximal, complemented
16#37773C212yesmaximal, complemented
17#37640C211yesmaximal, characteristic, complemented
18#37621C211yesmaximal, characteristic
19#37519C212yesmaximal, complemented
20#37512C212yesmaximal, complemented
21#36477C211yesmaximal, characteristic, complemented
22#36464C211yesmaximal, characteristic, complemented
23#36174C211yesmaximal, characteristic, complemented
24#36134C211yesmaximal, characteristic, complemented
25#35815C212yesmaximal, complemented
26#35813C212yesmaximal, complemented
27#35800C212yesmaximal, complemented
28#35798C212yesmaximal, complemented
29#35294C211yesmaximal, characteristic, complemented
30#35258C212yesmaximal, complemented
31#34631C211yesmaximal, characteristic, complemented
32#34627C212yesmaximal, complemented
33#34243C211yesmaximal, characteristic, complemented
34#34213C211yesmaximal, characteristic, complemented
35#34141C211yesmaximal, characteristic, complemented
36C2×#542C2212yes—
37C2×#533C2211yescharacteristic
38C2×#533C2212yes—
39C2×#532C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2212yes—
42#2868C2211yescharacteristic
43#2859C2211yescharacteristic
44#2859C2211yescharacteristic
45#2859C2211yescharacteristic
46#2857C2212yes—
47#2855C2212yes—
48#2854C2212yes—
49#2850C2212yes—
50#2831C2214yes—
51#2829C2214yes—
52#2827C2214yes—
53#2827C2214yes—
54#2820C2214yes—
55#2813C2214yes—
56#2807C2214yes—
57#2796C2214yes—
58#2796C2214yes—
59#2794C2214yes—
60#2783C2214yes—
61#2783C2214yes—
62#2779C2214yes—
63#2777C2214yes—
64#2773C2214yes—
65#2772C2214yes—
66#2758C2214yes—
67#2757C2214yes—
68#2754C2214yes—
69#2732C2214yes—
70#2730C2214yes—
71#2725C2214yes—
72#2724C2214yes—
73#2721C2214yes—
74#2718C2214yes—
75#2710C2214yes—
76#2700C2214yes—
77#2694C2214yes—
78#2689C2214yes—
79#2674C2214yes—
80#2666C2214yes—
81#2666C2214yes—
82#2664C2212yes—
83#2664C2212yes—
84#2663C2212yes—
85#2663C2212yes—
86#2662C2214yes—
87#2660C2211yescharacteristic
88#2658C2211yescharacteristic
89#2651C2214yes—
90#2651C2214yes—
91#2648C2214yes—
92#2648C2214yes—
93#2642C2211yescharacteristic
94#2640C2211yescharacteristic
95#2638C2214yes—
96#2638C2214yes—
97#2636C2214yes—
98#2634C2214yes—
99#2633C2214yes—
100#2630C2214yes—
101#2629C2212yes—
102#2628C2212yes—
103#2628C2212yes—
104#2628C2212yes—
105#2625C2212yes—
106#2625C2212yes—
107#2624C2212yes—
108#2624C2212yes—
109#2621C2211yescharacteristic
110#2621C2212yes—
111#2621C2211yescharacteristic
112#2620C2214yes—
113#2620C2211yescharacteristic
114#2620C2211yescharacteristic
115#2619C2212yes—
116#2616C2212yes—
117#2616C2212yes—
118#2616C2212yes—
119#2615C2212yes—
120#2608C2214yes—
121#2605C2214yes—
122#2597C2214yes—
123#2596C2214yes—
124#2589C2214yes—
125#2587C2214yes—
126#2577C2214yes—
127#2575C2214yes—
128#2574C2214yes—
129#2570C2214yes—
130#2570C2212yes—
131#2570C2212yes—
132#2570C2212yes—
133#2567C2212yes—
134#2566C2212yes—
135#2562C2212yes—
136#2558C2214yes—
137#2557C2214yes—
138#2554C2214yes—
139#2552C2212yes—
140#2550C2212yes—
141#2550C2212yes—
142#2548C2212yes—
143#2547C2212yes—
144#2542C2212yes—
145#2542C2212yes—
146#2540C2212yes—
147#2538C2211yescharacteristic
148#2538C2211yescharacteristic
149#2538C2211yescharacteristic
150#2538C2211yescharacteristic
151#2538C2211yescharacteristic
152#2538C2211yescharacteristic
153#2537C2211yescharacteristic
154#2537C2211yescharacteristic
155#2532C2214yes—
156#2526C2214yes—
157#2521C2214yes—
158#2518C2214yes—
159#2518C2214yes—
160#2518C2214yes—
161#2518C2214yes—
162#2516C2214yes—
163#2513C2212yes—
164#2513C2214yes—
165#2513C2212yes—
166#2513C2212yes—
167#2512C2212yes—
168#2509C2212yes—
169#2508C2212yes—
170#2508C2212yes—
171#2507C2212yes—
172#2504C2212yes—
173#2501C2212yes—
174#2497C2212yes—
175#2497C2212yes—
176#2496C2212yes—
177#2496C2212yes—
178#2495C2212yes—
179#2495C2212yes—
180#2495C2212yes—
181#2495C2212yes—
182#2491C2212yes—
183#2490C2212yes—
184#2490C2212yes—
185#2489C2212yes—
186#2489C2212yes—
187#2489C2212yes—
188#2479C2214yes—
189#2471C2214yes—
190#2469C2214yes—
191#2467C2214yes—
192#2465C2214yes—
193#2463C2214yes—
194#2461C2214yes—
195#2459C2214yes—
196#2457C2214yes—
197#2455C2214yes—
198#2448C2214yes—
199#2442C2212yes—
200#2441C2214yes—
201#2441C2212yes—
202#2441C2212yes—
203#2440C2212yes—
204#2439C2212yes—
205#2439C2212yes—
206#2429C2212yes—
207#2429C2214yes—
208#2429C2212yes—
209#2427C2212yes—
210#2426C2212yes—
211#2423C2212yes—
212#2423C2212yes—
213#2423C2214yes—
214#2423C2212yes—
215#2422C2212yes—
216#2422C2212yes—
217#2420C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2399C2214yes—
221#2398C2214yes—
222#2396C2212yes—
223#2396C2212yes—
224#2395C2214yes—
225#2395C2214yes—
226#2395C2212yes—
227#2395C2212yes—
228#2370C2214yes—
229#2370C2212yes—
230#2370C2212yes—
231#2369C2212yes—
232#2367C2212yes—
233#2367C2212yes—
234#2367C2212yes—
235#2366C2211yescharacteristic
236#2366C2211yescharacteristic
237#2365C2212yes—
238#2365C2211yescharacteristic
239#2365C2211yescharacteristic
240#2365C2212yes—
241#2364C2212yes—
242#2364C2212yes—
243#2363C2212yes—
244#2363C2212yes—
245#2361C2211yescharacteristic
246#2361C2211yescharacteristic
247#2361C2211yescharacteristic
248#2361C2211yescharacteristic
249#2359C2214yes—
250#2357C2212yes—
251#2355C2211yescharacteristic
252#2355C2211yescharacteristic
253#2355C2211yescharacteristic
254#2355C2212yes—
255#2355C2212yes—
256#2354C2212yes—
257#2354C2211yescharacteristic
258#2352C2212yes—
259Q8×C4⋊C4C2211yescharacteristic
260Q8×C4⋊C4C2211yescharacteristic
261Q8×C4⋊C4C2211yescharacteristic
262D4×C4⋊C4C2211yescharacteristic
263D4×C4⋊C4C2212yes—
264#2347C2212yes—
265#2346C2212yes—
266#2334C2214yes—
267#2331C2212yes—
268#2330C2212yes—
269#2329C2214yes—
270#2324C2212yes—
271#2323C2212yes—
272#2317C2212yes—
273#2314C2212yes—
274#2314C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×#124C2211yescharacteristic
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×#121C2212yes—
285#2297C2212yes—
286#2293C2211yescharacteristic
287#2293C2211yescharacteristic
288#2290C2212yes—
289#2290C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2283C2212yes—
293#2274C2212yes—
294#2274C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#542—48no—
301#533—28no—
302#533—48no—
303#532—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313#529—28no—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#124C2312yes—
324C2×#124C2311yescharacteristic
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C4×#41—48no—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2314yes—
390C2×#117C2311yescharacteristic
391C2×#117C2312yes—
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C42C2312yes—
396C22×C42C2312yes—
397C22×C42C2312yes—
398C22×C42C2311yescharacteristic
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2312yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2312yes—
424#399C2312yes—
425#399C2312yes—
426#399C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2312yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2312yes—
442#398C2312yes—
443#398C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2312yes—
481#396C2312yes—
482#396C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2312yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2312yes—
506#394C2312yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#393C2314yes—
511#393C2312yes—
512#393C2314yes—
513#393C2314yes—
514#393C2312yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2312yes—
531#391C2314yes—
532#391C2312yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2314yes—
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2311yescharacteristic
554#390C2314yes—
555#390C2312yes—
556#390C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2314yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2314yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#383C2314yes—
711#383C2314yes—
712#383C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2314yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2311yescharacteristic
724#382C2311yescharacteristic
725#382C2314yes—
726#381C2314yes—
727#381C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2311yescharacteristic
811#376C2311yescharacteristic
812#376C2314yes—
813C2×#95C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×Q8C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—28no—
853C4⋊Q8—44no—
854C4⋊Q8—42no—
855C4⋊Q8—82no—
856#127—24no—
857#126—28no—
858#126—48no—
859#126—84no—
860#125—24no—
861#125—28no—
862#125—44no—
863#125—44no—
864#125—48no—
865#125—82no—
866#124—24no—
867#124—28no—
868#124—24no—
869#124—42no—
870#124—48no—
871#124—84no—
872#123—28no—
873#123—48no—
874#123—84no—
875#123—84no—
876C22⋊Q8—24no—
877C22⋊Q8—24no—
878C22⋊Q8—24no—
879C22⋊Q8—28no—
880C22⋊Q8—48no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—48no—
887C22⋊Q8—44no—
888C22⋊Q8—84no—
889#121—24no—
890#121—24no—
891#121—24no—
892#121—28no—
893#121—44no—
894#121—44no—
895#121—44no—
896#121—44no—
897C4×Q8—24no—
898C4×Q8—28no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—48no—
906C4×Q8—44no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—28no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—42no—
917C4×D4—42no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—84no—
924#117—28no—
925#117—28no—
926#117—28no—
927#117—24no—
928#117—28no—
929#117—42no—
930#117—44no—
931#117—44no—
932#117—48no—
933#117—82no—
934C2×C4⋊C4—24no—
935C2×C4⋊C4—42no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C42—28no—
1068C2×C42—44no—
1069C2×C42—44no—
1070C2×C42#4118yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175C24C2512yes—
1176C24C2512yes—
1177C24C2512yes—
1178C24C2511yescharacteristic
1179#41—432no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—28no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×Q8—42no—
1196C2×Q8—44no—
1197C2×Q8—42no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4C2×#4114yes—
1265C22×C4C2×#4114yes—
1266C22×C4C2×#4114yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2514yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2514yes—
1288C22×C4C2514yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C42−1+414yes—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—22no—
1435C42—24no—
1436C42—28no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—41no—
1448C42—41no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C42—41no—
1458C42—41no—
1459C42C2×#4114yes—
1460C42C2×#4114yes—
1461C42C2×#4114yes—
1462C42C2×#4114yes—
1463C42H(5,𝔽2)14yes—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23C22×#4112yes—
1492C23C2611yescharacteristic
1493Q8—48no—
1494Q8—44no—
1495Q8—44no—
1496Q8—44no—
1497Q8—84no—
1498Q8—88no—
1499D4—48no—
1500D4—48no—
1501D4—48no—
1502D4—48no—
1503D4—44no—
1504D4—44no—
1505D4—44no—
1506D4—84no—
1507D4—164no—
1508D4—164no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—28no—
1524C2×C4—28no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—24no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—24no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—48no—
1594C2×C4—48no—
1595C2×C4—48no—
1596C2×C4—84no—
1597C2×C4—84no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4—164no—
1602C2×C4C22×#4112yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4112yes—
1608C2×C4C2×H(5,𝔽2)12yes—
1609C2×C4C2×H(5,𝔽2)12yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×2−1+414yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4#58512yes—
1614C2×C4#58512yes—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22C23×#4111yescharacteristic
1644C22C22×H(5,𝔽2)11yescharacteristic
1645C22C22×2−1+411yescharacteristic
1646C22C2×#58511yescharacteristic
1647C22C2×#58511yescharacteristic
1648C22H(7,𝔽2)11yescharacteristic
1649C222−1+611yescharacteristic
1650C4—22no—
1651C4—22no—
1652C4—22no—
1653C4—22no—
1654C4—22no—
1655C4—24no—
1656C4—22no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—44no—
1671C4—41no—
1672C4—42no—
1673C4—42no—
1674C4—44no—
1675C4—44no—
1676C4—41no—
1677C4—41no—
1678C4—44no—
1679C4#346114yes—
1680C4#350614yes—
1681C2—42no—
1682C2—82no—
1683C2—82no—
1684C2—82no—
1685C2C2×#346111yescharacteristic
1686C2C2×#350611yescharacteristic
1687C2#6285611yescharacteristic
1688C2#6294211yescharacteristic
1689C2#6295211yescharacteristic
1690C2#6295511yescharacteristic
1691C2#6296811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#37621C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42472C2semidirect
2. #42470C2semidirect
3. #42453C2semidirect
4. #42450C2semidirect
5. #41026C2semidirect
6. #41018C2semidirect
7. #41011C2semidirect
8. #41006C2semidirect
9. #39506C2semidirect
10. #39377C2semidirect
11. #39272C2semidirect
12. #39271C2semidirect
13. #39193C2semidirect
14. #39192C2semidirect
15. #37963C2semidirect
16. #37773C2semidirect
17. #37640C2semidirect
19. #37519C2semidirect
20. #37512C2semidirect
21. #36477C2semidirect
22. #36464C2semidirect
23. #36174C2semidirect
24. #36134C2semidirect
25. #35815C2semidirect
26. #35813C2semidirect
27. #35800C2semidirect
28. #35798C2semidirect
29. #35294C2semidirect
30. #35258C2semidirect
31. #34631C2semidirect
32. #34627C2semidirect
33. #34243C2semidirect
34. #34213C2semidirect
35. #34141C2semidirect

Maximal subgroups

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

subgroupindex
#424722
#424702
#424532
#424502
#410262
#410182
#410112
#410062
#395062
#393772
#392722
#392712
#391932
#391922
#379632
#377732
#376402
#376212
#375192
#375122
#364772
#364642
#361742
#361342
#358152
#358132
#358002
#357982
#352942
#352582
#346312
#346272
#342432
#342132
#341412