Finite Group Databasebeta

← #7657676

Subgroups — #7657676

Order 512.

4916 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42960C212yesmaximal, complemented
2#42939C212yesmaximal, complemented
3#42704C212yesmaximal, complemented
4#42699C212yesmaximal, complemented
5#42077C214yesmaximal, complemented
6#42076C214yesmaximal, complemented
7#41710C214yesmaximal, complemented
8#41694C214yesmaximal, complemented
9#39771C211yesmaximal, characteristic, complemented
10#39769C211yesmaximal, characteristic, complemented
11#39418C212yesmaximal, complemented
12#39417C212yesmaximal, complemented
13#39387C211yesmaximal, characteristic, complemented
14#39385C211yesmaximal, characteristic, complemented
15#37750C212yesmaximal, complemented
16#37749C212yesmaximal, complemented
17#37616C211yesmaximal, characteristic
18#37615C211yesmaximal, characteristic, complemented
19#37594C212yesmaximal, complemented
20#37594C212yesmaximal, complemented
21#36598C211yesmaximal, characteristic, complemented
22#36591C211yesmaximal, characteristic, complemented
23#36134C211yesmaximal, characteristic, complemented
24#36115C211yesmaximal, characteristic, complemented
25#35934C212yesmaximal, complemented
26#35860C212yesmaximal, complemented
27#35813C212yesmaximal, complemented
28#35745C212yesmaximal, complemented
29#35318C212yesmaximal, complemented
30#35317C211yesmaximal, characteristic, complemented
31#34631C212yesmaximal, complemented
32#34625C211yesmaximal, characteristic, complemented
33#34232C211yesmaximal, characteristic, complemented
34#34216C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic, complemented
36C2×#542C2212yes—
37C2×#541C2212yes—
38C2×#536C2212yes—
39C2×#536C2212yes—
40C2×#533C2212yes—
41C2×#532C2211yescharacteristic
42C22×C4⋊Q8C2211yescharacteristic
43C2×#529C2211yescharacteristic
44C2×#529C2212yes—
45#2868C2211yescharacteristic
46#2868C2211yescharacteristic
47#2862C2212yes—
48#2861C2212yes—
49#2858C2211yescharacteristic
50#2858C2211yescharacteristic
51#2857C2212yes—
52#2850C2212yes—
53#2837C2214yes—
54#2837C2214yes—
55#2836C2214yes—
56#2836C2214yes—
57#2821C2214yes—
58#2813C2214yes—
59#2796C2214yes—
60#2794C2214yes—
61#2794C2214yes—
62#2751C2214yes—
63#2730C2214yes—
64#2721C2214yes—
65#2721C2214yes—
66#2707C2214yes—
67#2706C2214yes—
68#2705C2214yes—
69#2705C2214yes—
70#2704C2214yes—
71#2702C2214yes—
72#2700C2214yes—
73#2698C2214yes—
74#2696C2214yes—
75#2695C2214yes—
76#2694C2214yes—
77#2693C2214yes—
78#2692C2214yes—
79#2690C2214yes—
80#2689C2214yes—
81#2687C2214yes—
82#2687C2214yes—
83#2667C2212yes—
84#2667C2214yes—
85#2667C2214yes—
86#2666C2212yes—
87#2666C2212yes—
88#2665C2212yes—
89#2664C2214yes—
90#2664C2214yes—
91#2663C2214yes—
92#2663C2214yes—
93#2660C2211yescharacteristic
94#2660C2211yescharacteristic
95#2660C2212yes—
96#2658C2212yes—
97#2658C2212yes—
98#2654C2214yes—
99#2654C2214yes—
100#2651C2214yes—
101#2651C2214yes—
102#2649C2214yes—
103#2649C2214yes—
104#2647C2211yescharacteristic
105#2647C2211yescharacteristic
106#2642C2212yes—
107#2640C2212yes—
108#2640C2212yes—
109#2636C2214yes—
110#2629C2211yescharacteristic
111#2629C2211yescharacteristic
112#2628C2211yescharacteristic
113#2628C2211yescharacteristic
114#2623C2214yes—
115#2621C2212yes—
116#2621C2212yes—
117#2621C2212yes—
118#2620C2212yes—
119#2620C2212yes—
120#2620C2212yes—
121#2620C2212yes—
122#2619C2212yes—
123#2595C2214yes—
124#2592C2212yes—
125#2582C2212yes—
126#2580C2212yes—
127#2571C2212yes—
128#2570C2212yes—
129#2570C2212yes—
130#2570C2214yes—
131#2568C2211yescharacteristic
132#2568C2211yescharacteristic
133#2568C2211yescharacteristic
134#2566C2212yes—
135#2560C2214yes—
136#2558C2214yes—
137#2557C2214yes—
138#2556C2214yes—
139#2556C2214yes—
140#2556C2214yes—
141#2554C2214yes—
142#2553C2214yes—
143#2553C2214yes—
144#2553C2214yes—
145#2552C2212yes—
146#2552C2212yes—
147#2552C2212yes—
148#2549C2214yes—
149#2548C2211yescharacteristic
150#2548C2212yes—
151#2544C2212yes—
152#2542C2211yescharacteristic
153#2542C2212yes—
154#2542C2211yescharacteristic
155#2542C2211yescharacteristic
156#2542C2212yes—
157#2542C2212yes—
158#2542C2212yes—
159#2541C2211yescharacteristic
160#2538C2212yes—
161#2538C2212yes—
162#2522C2214yes—
163#2522C2214yes—
164#2521C2214yes—
165#2521C2214yes—
166#2519C2214yes—
167#2519C2214yes—
168#2516C2214yes—
169#2516C2214yes—
170#2516C2214yes—
171#2513C2212yes—
172#2513C2212yes—
173#2512C2212yes—
174#2512C2212yes—
175#2512C2212yes—
176#2512C2212yes—
177#2511C2212yes—
178#2511C2212yes—
179#2511C2214yes—
180#2504C2212yes—
181#2502C2212yes—
182#2501C2212yes—
183#2501C2212yes—
184#2501C2212yes—
185#2501C2212yes—
186#2488C2214yes—
187#2477C2214yes—
188#2471C2214yes—
189#2471C2214yes—
190#2470C2214yes—
191#2467C2214yes—
192#2465C2214yes—
193#2458C2214yes—
194#2457C2214yes—
195#2450C2214yes—
196#2448C2212yes—
197#2448C2212yes—
198#2448C2212yes—
199#2447C2212yes—
200#2447C2212yes—
201#2447C2212yes—
202#2446C2212yes—
203#2446C2212yes—
204#2446C2212yes—
205#2446C2212yes—
206#2445C2212yes—
207#2445C2212yes—
208#2441C2214yes—
209#2438C2214yes—
210#2429C2212yes—
211#2429C2212yes—
212#2429C2212yes—
213#2429C2212yes—
214#2427C2212yes—
215#2427C2212yes—
216#2426C2212yes—
217#2426C2212yes—
218#2423C2214yes—
219#2409C2212yes—
220#2409C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2402C2212yes—
224#2399C2212yes—
225#2396C2212yes—
226#2396C2212yes—
227#2396C2214yes—
228#2396C2214yes—
229#2395C2214yes—
230#2395C2214yes—
231#2374C2212yes—
232#2374C2212yes—
233#2373C2212yes—
234#2373C2212yes—
235#2370C2211yescharacteristic
236#2370C2211yescharacteristic
237#2369C2212yes—
238#2369C2212yes—
239#2367C2211yescharacteristic
240#2367C2212yes—
241#2367C2211yescharacteristic
242#2366C2212yes—
243#2366C2211yescharacteristic
244#2366C2211yescharacteristic
245#2365C2211yescharacteristic
246#2365C2211yescharacteristic
247#2365C2211yescharacteristic
248#2365C2211yescharacteristic
249#2365C2211yescharacteristic
250#2365C2211yescharacteristic
251#2363C2211yescharacteristic
252#2363C2211yescharacteristic
253#2363C2212yes—
254#2363C2212yes—
255#2362C2211yescharacteristic
256#2362C2211yescharacteristic
257#2357C2212yes—
258#2355C2212yes—
259#2355C2212yes—
260#2354C2212yes—
261#2354C2212yes—
262#2353C2214yes—
263Q8×C4⋊C4C2212yes—
264#2345C2214yes—
265#2341C2212yes—
266Q8×C22⋊C4C2212yes—
267Q8×C22⋊C4C2212yes—
268#2339C2212yes—
269#2333C2214yes—
270#2331C2214yes—
271#2327C2212yes—
272#2326C2212yes—
273#2319C2212yes—
274#2316C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2212yes—
278C4×C4⋊Q8C2212yes—
279C4×C4⋊Q8C2212yes—
280C4×#125C2211yescharacteristic
281C4×#125C2211yescharacteristic
282C4×#124C2212yes—
283C4×#124C2212yes—
284C4×#124C2212yes—
285#2298C2212yes—
286#2295C2211yescharacteristic
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2290C2212yes—
290#2285C2211yescharacteristic
291#2283C2211yescharacteristic
292#2275C2212yes—
293#2274C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#542—48no—
302#541—48no—
303#536—48no—
304#536—48no—
305#533—48no—
306#532—28no—
307C2×C4⋊Q8—28no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322#529—28no—
323#529—48no—
324C2×#126C2312yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#126C2314yes—
329C2×#125C2311yescharacteristic
330C2×#125C2311yescharacteristic
331C2×#125C2311yescharacteristic
332C2×#125C2314yes—
333C2×#125C2314yes—
334C2×#125C2314yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2314yes—
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2314yes—
399C2×#117C2314yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C42C2312yes—
403C22×C42C2311yescharacteristic
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2312yes—
430#399C2312yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2312yes—
454#398C2312yes—
455#398C2312yes—
456#398C2312yes—
457#398C2312yes—
458#398C2312yes—
459#398C2312yes—
460#398C2312yes—
461#398C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#396C2312yes—
492#396C2312yes—
493#396C2312yes—
494#395C2314yes—
495#395C2314yes—
496#395C2312yes—
497#395C2312yes—
498#395C2312yes—
499#395C2312yes—
500#395C2312yes—
501#395C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2312yes—
520#393C2312yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#391C2314yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2314yes—
541#391C2314yes—
542#391C2314yes—
543#391C2314yes—
544#391C2311yescharacteristic
545#391C2312yes—
546#391C2312yes—
547#391C2314yes—
548#391C2311yescharacteristic
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2314yes—
699#385C2314yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2312yes—
713#384C2312yes—
714#384C2312yes—
715#383C2312yes—
716#382C2311yescharacteristic
717#382C2311yescharacteristic
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2314yes—
722#382C2314yes—
723#382C2312yes—
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#381C2314yes—
727#381C2312yes—
728#381C2314yes—
729#381C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2311yescharacteristic
813#376C2311yescharacteristic
814C2×#95C2314yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2312yes—
818C43C2312yes—
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8—28no—
823C22×Q8—44no—
824C22×Q8—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2414yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2411yescharacteristic
850C4⋊Q8—28no—
851C4⋊Q8—28no—
852C4⋊Q8—28no—
853C4⋊Q8—24no—
854C4⋊Q8—24no—
855C4⋊Q8—24no—
856C4⋊Q8—24no—
857C4⋊Q8—28no—
858C4⋊Q8—28no—
859C4⋊Q8—24no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862#127—24no—
863#127—44no—
864#126—28no—
865#126—48no—
866#126—48no—
867#126—48no—
868#126—48no—
869#125—24no—
870#125—24no—
871#125—24no—
872#125—48no—
873#125—48no—
874#125—48no—
875#124—24no—
876#124—28no—
877#124—28no—
878#124—28no—
879#124—44no—
880#124—44no—
881#124—44no—
882#124—48no—
883#123—28no—
884#123—48no—
885#123—48no—
886#123—48no—
887#123—48no—
888#123—48no—
889#123—48no—
890C22⋊Q8—24no—
891C22⋊Q8—48no—
892C22⋊Q8—48no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—48no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903#121—24no—
904#121—28no—
905#121—28no—
906#121—44no—
907#121—44no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×Q8—42no—
913C4×Q8—44no—
914C4×Q8—48no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—28no—
923C4×D4—24no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—44no—
927C4×D4—42no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—48no—
931#117—24no—
932#117—28no—
933#117—24no—
934#117—24no—
935#117—28no—
936#117—44no—
937#117—48no—
938#117—42no—
939#117—48no—
940C2×C4⋊C4—28no—
941C2×C4⋊C4—28no—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C42—28no—
1070C2×C42#4118yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182C24C2512yes—
1183C24C2514yes—
1184C24C2511yescharacteristic
1185#41—816no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—28no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—24no—
1196C2×Q8—24no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—42no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8—42no—
1207C2×Q8—816no—
1208C2×D4—24no—
1209C2×D4—28no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—28no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—28no—
1243C22×C4—24no—
1244C22×C4—28no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—42no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4C2×#4114yes—
1260C22×C4C2×#4114yes—
1261C22×C4C2×#4114yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2514yes—
1281C22×C4C2514yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—28no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
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—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C42−1+414yes—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
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—44no—
1420C22⋊C4—44no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—22no—
1427C42—22no—
1428C42—24no—
1429C42—22no—
1430C42—24no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—24no—
1437C42—22no—
1438C42—41no—
1439C42—42no—
1440C42—42no—
1441C42—41no—
1442C42—42no—
1443C42—42no—
1444C42—41no—
1445C42—41no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—42no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42C2×#4114yes—
1455C42C2×#4114yes—
1456C42C2×#4114yes—
1457C42C2×#4114yes—
1458C42H(5,𝔽2)14yes—
1459C42H(5,𝔽2)14yes—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—22no—
1467C23—24no—
1468C23—22no—
1469C23—24no—
1470C23—24no—
1471C23—22no—
1472C23—22no—
1473C23—24no—
1474C23—24no—
1475C23—22no—
1476C23—24no—
1477C23—24no—
1478C23—22no—
1479C23—22no—
1480C23C22×#4112yes—
1481C23C2611yescharacteristic
1482Q8—48no—
1483Q8—44no—
1484Q8—48no—
1485Q8—48no—
1486Q8—48no—
1487Q8—84no—
1488Q8—88no—
1489D4—44no—
1490D4—48no—
1491D4—48no—
1492D4—84no—
1493D4—84no—
1494D4—88no—
1495D4—88no—
1496D4—164no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—28no—
1516C2×C4—28no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—44no—
1581C2×C4—48no—
1582C2×C4—48no—
1583C2×C4—84no—
1584C2×C4—88no—
1585C2×C4—88no—
1586C2×C4—88no—
1587C2×C4—164no—
1588C2×C4C22×#4112yes—
1589C2×C4C22×#4112yes—
1590C2×C4C22×#4112yes—
1591C2×C4C22×#4112yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4112yes—
1594C2×C4C2×H(5,𝔽2)12yes—
1595C2×C4C2×H(5,𝔽2)12yes—
1596C2×C4C2×H(5,𝔽2)12yes—
1597C2×C4C2×H(5,𝔽2)12yes—
1598C2×C4C2×H(5,𝔽2)12yes—
1599C2×C4C2×H(5,𝔽2)12yes—
1600C2×C4C2×2−1+414yes—
1601C2×C4C2×2−1+412yes—
1602C2×C4#58512yes—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—42no—
1611C22—44no—
1612C22—44no—
1613C22—42no—
1614C22—42no—
1615C22—44no—
1616C22—44no—
1617C22—42no—
1618C22—42no—
1619C22—44no—
1620C22—42no—
1621C22—44no—
1622C22—42no—
1623C22—44no—
1624C22C23×#4111yescharacteristic
1625C22C22×H(5,𝔽2)11yescharacteristic
1626C22C22×H(5,𝔽2)11yescharacteristic
1627C22C22×2−1+411yescharacteristic
1628C22C2×#58511yescharacteristic
1629C222−1+611yescharacteristic
1630C222−1+611yescharacteristic
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—24no—
1639C4—22no—
1640C4—42no—
1641C4—44no—
1642C4—44no—
1643C4—44no—
1644C4—42no—
1645C4—41no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—41no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—41no—
1657C4—42no—
1658C4—42no—
1659C4—41no—
1660C4—42no—
1661C4#346114yes—
1662C4#350814yes—
1663C2—42no—
1664C2—82no—
1665C2—84no—
1666C2C2×#346111yescharacteristic
1667C2C2×#350811yescharacteristic
1668C2#6286011yescharacteristic
1669C2#6292511yescharacteristic
1670C2#6293111yescharacteristic
1671C2#6294211yescharacteristic
1672C2#6294611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#37616C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42960C2semidirect
2. #42939C2semidirect
3. #42704C2semidirect
4. #42699C2semidirect
5. #42077C2semidirect
6. #42076C2semidirect
7. #41710C2semidirect
8. #41694C2semidirect
9. #39771C2semidirect
10. #39769C2semidirect
11. #39418C2semidirect
12. #39417C2semidirect
13. #39387C2semidirect
14. #39385C2semidirect
15. #37750C2semidirect
16. #37749C2semidirect
18. #37615C2semidirect
19. #37594C2semidirect
20. #37594C2semidirect
21. #36598C2semidirect
22. #36591C2semidirect
23. #36134C2semidirect
24. #36115C2semidirect
25. #35934C2semidirect
26. #35860C2semidirect
27. #35813C2semidirect
28. #35745C2semidirect
29. #35318C2semidirect
30. #35317C2semidirect
31. #34631C2semidirect
32. #34625C2semidirect
33. #34232C2semidirect
34. #34216C2semidirect
35. #34151C2semidirect

Maximal subgroups

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

subgroupindex
#429602
#429392
#427042
#426992
#420772
#420762
#417102
#416942
#397712
#397692
#394182
#394172
#393872
#393852
#377502
#377492
#376162
#376152
#375942
#365982
#365912
#361342
#361152
#359342
#358602
#358132
#357452
#353182
#353172
#346312
#346252
#342322
#342162
#341512