Finite Group Databasebeta

← #7654474

Subgroups — #7654474

Order 512.

4662 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42775C212yesmaximal, complemented
2#42773C212yesmaximal, complemented
3#41817C214yesmaximal, complemented
4#41258C214yesmaximal, complemented
5#40172C212yesmaximal, complemented
6#39489C211yesmaximal, characteristic, complemented
7#39442C214yesmaximal, complemented
8#39400C212yesmaximal, complemented
9#39076C212yesmaximal, complemented
10#39056C212yesmaximal, complemented
11#38964C211yesmaximal, characteristic, complemented
12#38922C211yesmaximal, characteristic
13#38921C211yesmaximal, characteristic, complemented
14#38863C214yesmaximal, complemented
15#38263C212yesmaximal, complemented
16#37939C212yesmaximal, complemented
17#37638C211yesmaximal, characteristic, complemented
18#37521C212yesmaximal, complemented
19#36564C211yesmaximal, characteristic, complemented
20#36563C211yesmaximal, characteristic, complemented
21#36451C212yesmaximal, complemented
22#36312C211yesmaximal, characteristic, complemented
23#36287C212yesmaximal, complemented
24#36176C211yesmaximal, characteristic, complemented
25#35947C212yesmaximal, complemented
26#35900C212yesmaximal, complemented
27#35319C211yesmaximal, characteristic, complemented
28#35265C212yesmaximal, complemented
29#35177C211yesmaximal, characteristic, complemented
30#35008C212yesmaximal, complemented
31#34969C211yesmaximal, characteristic, complemented
32#34803C212yesmaximal, complemented
33#34332C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35#34153C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#541C2212yes—
39C2×#539C2214yes—
40C2×#529C2211yescharacteristic
41#2868C2211yescharacteristic
42#2864C2214yes—
43#2860C2212yes—
44#2859C2214yes—
45#2859C2211yescharacteristic
46#2859C2212yes—
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2212yes—
50#2857C2212yes—
51#2855C2212yes—
52#2854C2212yes—
53#2838C2214yes—
54#2836C2214yes—
55#2833C2214yes—
56#2787C2214yes—
57#2774C2214yes—
58#2772C2214yes—
59#2766C2214yes—
60#2763C2214yes—
61#2754C2214yes—
62#2746C2214yes—
63#2738C2214yes—
64#2721C2214yes—
65#2720C2214yes—
66#2719C2214yes—
67#2718C2214yes—
68#2715C2214yes—
69#2708C2214yes—
70#2698C2214yes—
71#2698C2214yes—
72#2695C2214yes—
73#2690C2214yes—
74#2687C2214yes—
75#2687C2214yes—
76#2680C2214yes—
77#2674C2214yes—
78#2674C2214yes—
79#2672C2214yes—
80#2665C2214yes—
81#2664C2214yes—
82#2663C2214yes—
83#2653C2214yes—
84#2649C2214yes—
85#2647C2212yes—
86#2647C2212yes—
87#2647C2214yes—
88#2647C2214yes—
89#2645C2212yes—
90#2645C2212yes—
91#2642C2212yes—
92#2638C2214yes—
93#2634C2214yes—
94#2633C2214yes—
95#2628C2212yes—
96#2625C2212yes—
97#2624C2212yes—
98#2621C2212yes—
99#2620C2212yes—
100#2612C2214yes—
101#2612C2214yes—
102#2597C2214yes—
103#2586C2214yes—
104#2582C2211yescharacteristic
105#2582C2212yes—
106#2580C2212yes—
107#2576C2214yes—
108#2575C2214yes—
109#2573C2214yes—
110#2571C2211yescharacteristic
111#2567C2211yescharacteristic
112#2567C2211yescharacteristic
113#2567C2211yescharacteristic
114#2567C2212yes—
115#2563C2211yescharacteristic
116#2559C2214yes—
117#2558C2214yes—
118#2556C2214yes—
119#2556C2214yes—
120#2553C2214yes—
121#2553C2214yes—
122#2552C2212yes—
123#2552C2212yes—
124#2551C2211yescharacteristic
125#2550C2214yes—
126#2549C2214yes—
127#2538C2211yescharacteristic
128#2537C2212yes—
129#2533C2214yes—
130#2532C2214yes—
131#2530C2214yes—
132#2530C2212yes—
133#2530C2214yes—
134#2529C2214yes—
135#2528C2214yes—
136#2527C2214yes—
137#2527C2214yes—
138#2527C2212yes—
139#2523C2214yes—
140#2519C2214yes—
141#2514C2212yes—
142#2514C2212yes—
143#2513C2212yes—
144#2511C2211yescharacteristic
145#2509C2212yes—
146#2509C2211yescharacteristic
147#2508C2212yes—
148#2508C2212yes—
149#2508C2212yes—
150#2507C2212yes—
151#2507C2212yes—
152#2507C2212yes—
153#2507C2212yes—
154#2506C2212yes—
155#2506C2212yes—
156#2506C2212yes—
157#2506C2212yes—
158#2506C2212yes—
159#2506C2212yes—
160#2505C2214yes—
161#2505C2214yes—
162#2501C2212yes—
163#2499C2212yes—
164#2497C2212yes—
165#2497C2214yes—
166#2496C2212yes—
167#2496C2212yes—
168#2496C2212yes—
169#2496C2212yes—
170#2496C2212yes—
171#2495C2212yes—
172#2494C2211yescharacteristic
173#2492C2212yes—
174#2492C2211yescharacteristic
175#2489C2212yes—
176#2489C2214yes—
177#2488C2214yes—
178#2488C2214yes—
179#2486C2212yes—
180#2486C2212yes—
181#2485C2212yes—
182#2477C2212yes—
183#2473C2214yes—
184#2473C2214yes—
185#2470C2212yes—
186#2466C2214yes—
187#2465C2214yes—
188#2458C2214yes—
189#2452C2212yes—
190#2452C2212yes—
191#2452C2211yescharacteristic
192#2451C2214yes—
193#2451C2212yes—
194#2448C2212yes—
195#2447C2212yes—
196#2447C2211yescharacteristic
197#2441C2212yes—
198#2441C2212yes—
199#2441C2212yes—
200#2440C2212yes—
201#2440C2212yes—
202#2439C2212yes—
203#2427C2212yes—
204#2427C2211yescharacteristic
205#2425C2214yes—
206#2423C2212yes—
207#2423C2214yes—
208#2422C2212yes—
209#2422C2212yes—
210#2422C2212yes—
211#2422C2211yescharacteristic
212#2416C2212yes—
213#2415C2212yes—
214#2415C2212yes—
215#2401C2212yes—
216#2401C2214yes—
217#2398C2212yes—
218#2398C2214yes—
219#2373C2212yes—
220#2373C2212yes—
221#2372C2214yes—
222#2370C2211yescharacteristic
223#2370C2212yes—
224#2370C2211yescharacteristic
225#2369C2211yescharacteristic
226#2369C2212yes—
227#2369C2211yescharacteristic
228#2367C2211yescharacteristic
229#2367C2211yescharacteristic
230#2363C2212yes—
231#2363C2212yes—
232#2362C2212yes—
233#2361C2211yescharacteristic
234#2361C2211yescharacteristic
235#2360C2214yes—
236#2360C2211yescharacteristic
237#2360C2212yes—
238#2360C2211yescharacteristic
239#2359C2212yes—
240#2359C2212yes—
241#2355C2212yes—
242#2354C2211yescharacteristic
243#2354C2211yescharacteristic
244#2352C2212yes—
245Q8×C4⋊C4C2211yescharacteristic
246Q8×C4⋊C4C2212yes—
247D4×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2212yes—
249#2346C2212yes—
250#2346C2212yes—
251#2346C2212yes—
252#2346C2212yes—
253#2345C2212yes—
254#2345C2212yes—
255#2331C2212yes—
256#2330C2212yes—
257#2329C2214yes—
258#2327C2212yes—
259#2322C2214yes—
260#2319C2212yes—
261#2317C2212yes—
262#2317C2212yes—
263#2317C2212yes—
264#2316C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2212yes—
269C4×#126C2214yes—
270C4×#124C2214yes—
271C4×#124C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×#123C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2212yes—
279C4×#121C2212yes—
280#2298C2212yes—
281#2296C2212yes—
282#2295C2211yescharacteristic
283#2295C2211yescharacteristic
284#2295C2212yes—
285#2295C2214yes—
286#2293C2211yescharacteristic
287C2×#389C2212yes—
288#2290C2212yes—
289#2283C2212yes—
290#2275C2212yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299#555—28no—
300#554—28no—
301#541—48no—
302#539—416no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310#529—28no—
311C2×#126C2314yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#124C2311yescharacteristic
323C2×#124C2314yes—
324C2×#124C2311yescharacteristic
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2314yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2314yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2312yes—
384C22×C42C2312yes—
385C22×C42C2312yes—
386#401C2314yes—
387#401C2314yes—
388#401C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2312yes—
481#393C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2311yescharacteristic
500#391C2314yes—
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#391C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2314yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2314yes—
579#389C2311yescharacteristic
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2312yes—
687#384C2312yes—
688#384C2314yes—
689#384C2312yes—
690#384C2312yes—
691#384C2314yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#383C2314yes—
697#383C2314yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2311yescharacteristic
702#382C2314yes—
703#382C2314yes—
704#382C2312yes—
705#382C2314yes—
706#382C2314yes—
707#382C2314yes—
708#382C2314yes—
709#381C2312yes—
710#381C2314yes—
711#381C2314yes—
712#381C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801#376C2312yes—
802#376C2311yescharacteristic
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2311yescharacteristic
809C2×#95C2314yes—
810C2×#95C2312yes—
811C43C2314yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2311yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2414yes—
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2414yes—
839C4⋊Q8—24no—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845C4⋊Q8—44no—
846#126—28no—
847#126—216no—
848#126—48no—
849#126—48no—
850#125—24no—
851#125—28no—
852#125—48no—
853#125—48no—
854#125—44no—
855#125—48no—
856#125—48no—
857#124—24no—
858#124—216no—
859#124—42no—
860#123—28no—
861#123—28no—
862#123—48no—
863#123—48no—
864#123—48no—
865#123—48no—
866C22⋊Q8—28no—
867C22⋊Q8—24no—
868C22⋊Q8—24no—
869C22⋊Q8—216no—
870C22⋊Q8—48no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873C22⋊Q8—48no—
874C22⋊Q8—44no—
875C22⋊Q8—48no—
876C22⋊Q8—44no—
877#121—24no—
878#121—28no—
879#121—28no—
880#121—48no—
881#121—42no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—48no—
890C4×Q8—42no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—24no—
894C4×D4—24no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—44no—
898C4×D4—42no—
899C4×D4—42no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—48no—
903C4×D4#4118yes—
904#117—28no—
905#117—28no—
906#117—28no—
907#117—28no—
908#117—28no—
909#117—24no—
910#117—44no—
911#117—42no—
912C2×C4⋊C4—28no—
913C2×C4⋊C4—24no—
914C2×C4⋊C4—44no—
915C2×C4⋊C4—42no—
916C2×C4⋊C4—48no—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C42—24no—
1037C2×C42—44no—
1038C2×C42—44no—
1039C2×C42—44no—
1040C2×C42C2414yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24C2512yes—
1161C24C2512yes—
1162C24C2511yescharacteristic
1163C2×Q8—22no—
1164C2×Q8—22no—
1165C2×Q8—24no—
1166C2×Q8—24no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—42no—
1174C2×Q8—42no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—42no—
1178C2×Q8—44no—
1179C2×Q8—44no—
1180C2×Q8—44no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—28no—
1184C2×D4—24no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—42no—
1191C2×D4—44no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—44no—
1195C2×D4C2×#4114yes—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—22no—
1199C22×C4—28no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—41no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4C2×#4118yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2514yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2514yes—
1252C22×C4C2514yes—
1253C22×C4C2514yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C4⋊C4—22no—
1268C4⋊C4—28no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—28no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—28no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—28no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—41no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4C2×#4114yes—
1342C4⋊C42−1+414yes—
1343C4⋊C42−1+414yes—
1344C22⋊C4—28no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—24no—
1349C22⋊C4—22no—
1350C22⋊C4—28no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—22no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—41no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4C2×#4118yes—
1385C22⋊C4H(5,𝔽2)14yes—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—28no—
1390C42—24no—
1391C42—24no—
1392C42—22no—
1393C42—22no—
1394C42—24no—
1395C42—28no—
1396C42—28no—
1397C42—28no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—24no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—24no—
1406C42—24no—
1407C42—24no—
1408C42—22no—
1409C42—22no—
1410C42—24no—
1411C42—24no—
1412C42—22no—
1413C42—42no—
1414C42—42no—
1415C42—42no—
1416C42—42no—
1417C42—42no—
1418C42—42no—
1419C42—41no—
1420C42—44no—
1421C42—44no—
1422C42—44no—
1423C42—42no—
1424C42—44no—
1425C42C2×#4114yes—
1426C23—21no—
1427C23—22no—
1428C23—22no—
1429C23—21no—
1430C23—22no—
1431C23—21no—
1432C23—21no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—21no—
1437C23—21no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23C22×#4114yes—
1446C23C2×H(5,𝔽2)12yes—
1447C23C2611yescharacteristic
1448Q8—48no—
1449Q8—44no—
1450Q8—44no—
1451Q8—84no—
1452Q8—84no—
1453Q8—164no—
1454D4—28no—
1455D4—48no—
1456D4—44no—
1457D4—84no—
1458D4—88no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—216no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—21no—
1485C2×C4—24no—
1486C2×C4—21no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—24no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—44no—
1544C2×C4—44no—
1545C2×C4—48no—
1546C2×C4—44no—
1547C2×C4—84no—
1548C2×C4—84no—
1549C2×C4—84no—
1550C2×C4—84no—
1551C2×C4—84no—
1552C2×C4—84no—
1553C2×C4—88no—
1554C2×C4—164no—
1555C2×C4C22×#4114yes—
1556C2×C4C22×#4112yes—
1557C2×C4C22×#4112yes—
1558C2×C4C22×#4112yes—
1559C2×C4C2×H(5,𝔽2)12yes—
1560C2×C4C2×H(5,𝔽2)12yes—
1561C2×C4C2×2−1+414yes—
1562C2×C4C2×2−1+414yes—
1563C2×C4C2×2−1+412yes—
1564C2×C4C2×2−1+412yes—
1565C2×C4#58512yes—
1566C2×C4#58512yes—
1567C2×C4#58512yes—
1568C22—22no—
1569C22—24no—
1570C22—22no—
1571C22—22no—
1572C22—24no—
1573C22—24no—
1574C22—41no—
1575C22—42no—
1576C22—42no—
1577C22—41no—
1578C22—42no—
1579C22—41no—
1580C22—42no—
1581C22—41no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22C23×#4111yescharacteristic
1590C22C22×H(5,𝔽2)11yescharacteristic
1591C22C22×2−1+411yescharacteristic
1592C22C22×2−1+411yescharacteristic
1593C22C2×#58511yescharacteristic
1594C22C2×#58511yescharacteristic
1595C22C2×#58511yescharacteristic
1596C4—24no—
1597C4—22no—
1598C4—22no—
1599C4—24no—
1600C4—24no—
1601C4—22no—
1602C4—22no—
1603C4—41no—
1604C4—42no—
1605C4—41no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4—44no—
1611C4—41no—
1612C4—42no—
1613C4—41no—
1614C4—41no—
1615C4—42no—
1616C4—41no—
1617C4—44no—
1618C4—41no—
1619C4—42no—
1620C4—44no—
1621C4—42no—
1622C4—44no—
1623C4—42no—
1624C4—41no—
1625C4—42no—
1626C4#346114yes—
1627C4#351514yes—
1628C2—42no—
1629C2—44no—
1630C2—82no—
1631C2C2×#346111yescharacteristic
1632C2C2×#351511yescharacteristic
1633C2#6280011yescharacteristic
1634C2#6302311yescharacteristic
1635C2#6302411yescharacteristic
1636C2#6302511yescharacteristic
1637C2#6303711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#38922C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42775C2semidirect
2. #42773C2semidirect
3. #41817C2semidirect
4. #41258C2semidirect
5. #40172C2semidirect
6. #39489C2semidirect
7. #39442C2semidirect
8. #39400C2semidirect
9. #39076C2semidirect
10. #39056C2semidirect
11. #38964C2semidirect
13. #38921C2semidirect
14. #38863C2semidirect
15. #38263C2semidirect
16. #37939C2semidirect
17. #37638C2semidirect
18. #37521C2semidirect
19. #36564C2semidirect
20. #36563C2semidirect
21. #36451C2semidirect
22. #36312C2semidirect
23. #36287C2semidirect
24. #36176C2semidirect
25. #35947C2semidirect
26. #35900C2semidirect
27. #35319C2semidirect
28. #35265C2semidirect
29. #35177C2semidirect
30. #35008C2semidirect
31. #34969C2semidirect
32. #34803C2semidirect
33. #34332C2semidirect
34. C4×#555C2semidirect
35. #34153C2semidirect

Maximal subgroups

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

subgroupindex
#427752
#427732
#418172
#412582
#401722
#394892
#394422
#394002
#390762
#390562
#389642
#389222
#389212
#388632
#382632
#379392
#376382
#375212
#365642
#365632
#364512
#363122
#362872
#361762
#359472
#359002
#353192
#352652
#351772
#350082
#349692
#348032
#343322
C4×#5552
#341532