Finite Group Databasebeta

← #7878800

Subgroups — #7878800

Order 512.

4650 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59867C212yesmaximal, complemented
2#59666C211yesmaximal, characteristic, complemented
3#59461C212yesmaximal, complemented
4#59127C211yesmaximal, characteristic, complemented
5#59042C211yesmaximal, characteristic, complemented
6#51451C214yesmaximal, complemented
7#48367C214yesmaximal, complemented
8#46770C214yesmaximal, complemented
9#45235C212yesmaximal, complemented
10#45224C212yesmaximal
11#45117C212yesmaximal, complemented
12#45055C212yesmaximal, complemented
13#44011C214yesmaximal, complemented
14#42866C212yesmaximal, complemented
15#42628C212yesmaximal, complemented
16#40095C212yesmaximal, complemented
17#39734C211yesmaximal, characteristic, complemented
18#39653C212yesmaximal, complemented
19#39606C211yesmaximal, characteristic, complemented
20#39478C211yesmaximal, characteristic, complemented
21#39294C212yesmaximal, complemented
22#38984C211yesmaximal, characteristic, complemented
23#38027C212yesmaximal, complemented
24#36454C211yesmaximal, characteristic, complemented
25#36449C211yesmaximal, characteristic, complemented
26#36129C211yesmaximal, characteristic, complemented
27#35875C212yesmaximal, complemented
28#35723C212yesmaximal, complemented
29#35663C212yesmaximal, complemented
30#35595C212yesmaximal, complemented
31#34932C211yesmaximal, characteristic
32#34793C211yesmaximal, characteristic, complemented
33#34374C211yesmaximal, characteristic, complemented
34#34334C211yesmaximal, characteristic, complemented
35#34209C211yesmaximal, characteristic, complemented
36C2×D4×Q8C2211yescharacteristic
37C2×D4×Q8C2212yes—
38C2×#533C2211yescharacteristic
39C22×C4⋊Q8C2211yescharacteristic
40C2×#529C2212yes—
41C2×#519C2212yes—
42#2863C2212yes—
43#2862C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2212yes—
47#2831C2214yes—
48#2802C2214yes—
49#2802C2214yes—
50#2799C2214yes—
51#2794C2214yes—
52#2789C2214yes—
53#2787C2214yes—
54#2786C2214yes—
55#2779C2214yes—
56#2776C2214yes—
57#2775C2214yes—
58#2774C2214yes—
59#2772C2214yes—
60#2768C2214yes—
61#2768C2214yes—
62#2767C2214yes—
63#2767C2214yes—
64#2766C2214yes—
65#2766C2214yes—
66#2762C2214yes—
67#2755C2214yes—
68#2755C2214yes—
69#2748C2214yes—
70#2747C2214yes—
71#2747C2214yes—
72#2746C2214yes—
73#2738C2214yes—
74#2720C2214yes—
75#2716C2214yes—
76#2713C2214yes—
77#2700C2214yes—
78#2698C2214yes—
79#2690C2214yes—
80#2677C2214yes—
81#2666C2214yes—
82#2666C2214yes—
83#2652C2214yes—
84#2645C2212yes—
85#2629C2212yes—
86#2625C2212yes—
87#2625C2214yes—
88#2621C2212yes—
89#2595C2214yes—
90#2594C2214yes—
91#2589C2214yes—
92#2588C2214yes—
93#2582C2212yes—
94#2581C2212yes—
95#2581C2212yes—
96#2578C2214yes—
97#2576C2214yes—
98#2575C2214yes—
99#2575C2214yes—
100#2573C2214yes—
101#2571C2211yescharacteristic
102#2570C2212yes—
103#2569C2214yes—
104#2568C2211yescharacteristic
105#2568C2212yes—
106#2565C2212yes—
107#2565C2212yes—
108#2553C2212yes—
109#2553C2212yes—
110#2552C2211yescharacteristic
111#2552C2211yescharacteristic
112#2551C2212yes—
113#2550C2212yes—
114#2550C2212yes—
115#2549C2214yes—
116#2547C2211yescharacteristic
117#2547C2211yescharacteristic
118#2546C2211yescharacteristic
119#2542C2211yescharacteristic
120#2542C2211yescharacteristic
121#2538C2212yes—
122#2537C2211yescharacteristic
123#2536C2212yes—
124#2530C2214yes—
125#2530C2212yes—
126#2528C2212yes—
127#2523C2214yes—
128#2522C2214yes—
129#2520C2214yes—
130#2520C2214yes—
131#2518C2214yes—
132#2517C2214yes—
133#2517C2212yes—
134#2515C2214yes—
135#2514C2212yes—
136#2514C2212yes—
137#2511C2212yes—
138#2511C2212yes—
139#2511C2212yes—
140#2511C2212yes—
141#2511C2211yescharacteristic
142#2508C2212yes—
143#2508C2212yes—
144#2507C2212yes—
145#2507C2212yes—
146#2507C2212yes—
147#2506C2211yescharacteristic
148#2505C2214yes—
149#2505C2214yes—
150#2502C2212yes—
151#2499C2211yescharacteristic
152#2499C2214yes—
153#2496C2211yescharacteristic
154#2496C2211yescharacteristic
155#2495C2212yes—
156#2495C2212yes—
157#2494C2214yes—
158#2494C2212yes—
159#2494C2211yescharacteristic
160#2492C2212yes—
161#2492C2212yes—
162#2489C2212yes—
163#2489C2212yes—
164#2489C2211yescharacteristic
165#2489C2212yes—
166#2488C2214yes—
167#2485C2211yescharacteristic
168#2485C2212yes—
169#2485C2214yes—
170#2478C2214yes—
171#2477C2214yes—
172#2476C2214yes—
173#2474C2214yes—
174#2470C2214yes—
175#2469C2214yes—
176#2465C2214yes—
177#2462C2214yes—
178#2460C2212yes—
179#2458C2214yes—
180#2454C2212yes—
181#2452C2212yes—
182#2451C2212yes—
183#2451C2212yes—
184#2451C2212yes—
185#2449C2214yes—
186#2447C2212yes—
187#2446C2212yes—
188#2446C2212yes—
189#2446C2212yes—
190#2446C2214yes—
191#2446C2214yes—
192#2444C2214yes—
193#2442C2212yes—
194#2441C2211yescharacteristic
195#2440C2212yes—
196#2439C2212yes—
197#2434C2212yes—
198#2429C2212yes—
199#2429C2212yes—
200#2427C2212yes—
201#2427C2212yes—
202#2427C2212yes—
203#2423C2214yes—
204#2423C2212yes—
205#2422C2211yescharacteristic
206#2422C2211yescharacteristic
207#2421C2214yes—
208#2421C2212yes—
209#2421C2212yes—
210#2421C2212yes—
211#2421C2212yes—
212#2419C2214yes—
213#2417C2212yes—
214#2417C2212yes—
215#2415C2211yescharacteristic
216#2409C2212yes—
217#2409C2212yes—
218#2409C2212yes—
219#2401C2212yes—
220#2395C2214yes—
221#2395C2212yes—
222#2395C2212yes—
223#2395C2212yes—
224#2382C2214yes—
225#2370C2212yes—
226#2369C2212yes—
227#2368C2214yes—
228#2368C2214yes—
229#2367C2212yes—
230#2367C2212yes—
231#2365C2211yescharacteristic
232#2365C2211yescharacteristic
233#2365C2211yescharacteristic
234#2365C2211yescharacteristic
235#2365C2211yescharacteristic
236#2365C2211yescharacteristic
237#2365C2211yescharacteristic
238#2365C2212yes—
239#2365C2212yes—
240#2361C2212yes—
241#2360C2212yes—
242#2360C2212yes—
243#2355C2211yescharacteristic
244#2355C2212yes—
245#2355C2212yes—
246#2355C2212yes—
247#2352C2212yes—
248#2352C2212yes—
249#2351C2212yes—
250Q8×C4⋊C4C2212yes—
251Q8×C4⋊C4C2212yes—
252#2349C2212yes—
253D4×C4⋊C4C2211yescharacteristic
254#2345C2212yes—
255#2344C2212yes—
256#2344C2212yes—
257#2344C2214yes—
258Q8×C22⋊C4C2212yes—
259Q8×C22⋊C4C2212yes—
260Q8×C22⋊C4C2212yes—
261#2336C2214yes—
262#2331C2212yes—
263#2329C2214yes—
264#2327C2214yes—
265#2324C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2323C2212yes—
269#2323C2212yes—
270#2323C2212yes—
271#2320C2212yes—
272#2314C2212yes—
273#2314C2214yes—
274#2310C2212yes—
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2212yes—
279C4×#125C2211yescharacteristic
280C4×#125C2212yes—
281C4×#124C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289#2298C2212yes—
290#2295C2211yescharacteristic
291C2×#391C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2275C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300C23×Q8C2312yes—
301D4×Q8—28no—
302D4×Q8—48no—
303#533—28no—
304C2×C4⋊Q8—28no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2311yescharacteristic
315#529—48no—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344#519—48no—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2314yes—
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2314yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2314yes—
377C2×#117C2314yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2312yes—
384#401C2314yes—
385#401C2312yes—
386#401C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2312yes—
415#399C2312yes—
416#399C2312yes—
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#398C2312yes—
430#398C2312yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2312yes—
453#397C2314yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2314yes—
518#391C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2312yes—
523#391C2311yescharacteristic
524#390C2314yes—
525#390C2312yes—
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2314yes—
571#389C2312yes—
572#389C2314yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2314yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2312yes—
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#382C2314yes—
716#382C2312yes—
717#382C2312yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2314yes—
746#380C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2312yes—
811#376C2312yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C22×Q8—28no—
817C22×Q8—28no—
818C22×Q8—28no—
819C22×Q8—44no—
820C22×Q8—44no—
821C22×Q8—44no—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C4⋊Q8—28no—
846C4⋊Q8—28no—
847C4⋊Q8—28no—
848C4⋊Q8—28no—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—42no—
852C4⋊Q8—44no—
853C4⋊Q8—48no—
854C4⋊Q8#4118yes—
855#126—44no—
856#126—44no—
857#125—28no—
858#125—28no—
859#125—44no—
860#125—42no—
861#125—44no—
862#124—28no—
863#124—44no—
864#123—44no—
865#123—44no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—24no—
869C22⋊Q8—28no—
870C22⋊Q8—216no—
871C22⋊Q8—28no—
872C22⋊Q8—48no—
873C22⋊Q8—44no—
874C22⋊Q8—48no—
875C22⋊Q8—44no—
876C22⋊Q8—42no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880#121—24no—
881#121—24no—
882#121—44no—
883C4×Q8—28no—
884C4×Q8—28no—
885C4×Q8—24no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—48no—
895C4×Q8—48no—
896C4×Q8—44no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—44no—
904C4×D4—42no—
905C4×D4—42no—
906C4×D4—44no—
907C4×D4—48no—
908#117—24no—
909#117—28no—
910#117—28no—
911#117—44no—
912#117—44no—
913#117—48no—
914#117—48no—
915#117—42no—
916C2×C4⋊C4—28no—
917C2×C4⋊C4—28no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C42—24no—
1038C2×C42—24no—
1039C2×C42—44no—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2411yescharacteristic
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2412yes—
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162C24C2511yescharacteristic
1163C24C2511yescharacteristic
1164C24C2512yes—
1165C2×Q8—24no—
1166C2×Q8—22no—
1167C2×Q8—28no—
1168C2×Q8—24no—
1169C2×Q8—28no—
1170C2×Q8—24no—
1171C2×Q8—28no—
1172C2×Q8—24no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—44no—
1181C2×Q8—42no—
1182C2×Q8—44no—
1183C2×Q8—42no—
1184C2×Q8—44no—
1185C2×Q8—432no—
1186C2×Q8—816no—
1187C2×Q8C2×#4118yes—
1188C2×D4—24no—
1189C2×D4—22no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—41no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D42−1+414yes—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—28no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—28no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—28no—
1222C22×C4—24no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—44no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4H(5,𝔽2)14yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2514yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2514yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2514yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C4⋊C4—28no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—24no—
1276C4⋊C4—28no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—28no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—41no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4C2×#4118yes—
1346C4⋊C4C2×#4118yes—
1347C4⋊C42−1+414yes—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—22no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—28no—
1393C42—24no—
1394C42—22no—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—22no—
1400C42—22no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—22no—
1406C42—22no—
1407C42—42no—
1408C42—42no—
1409C42—42no—
1410C42—41no—
1411C42—44no—
1412C42—42no—
1413C42—44no—
1414C42—44no—
1415C42—44no—
1416C42—44no—
1417C42—44no—
1418C42—44no—
1419C42—44no—
1420C42—44no—
1421C42C2×#4114yes—
1422C23—22no—
1423C23—21no—
1424C23—22no—
1425C23—22no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—22no—
1430C23—21no—
1431C23—22no—
1432C23—21no—
1433C23—22no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23C2×H(5,𝔽2)12yes—
1442C23C2×2−1+414yes—
1443C23C2611yescharacteristic
1444Q8—216no—
1445Q8—416no—
1446Q8—48no—
1447Q8—44no—
1448Q8—48no—
1449Q8—84no—
1450Q8—88no—
1451D4—28no—
1452D4—44no—
1453D4—48no—
1454D4—84no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—24no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—24no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—28no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—24no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—44no—
1541C2×C4—44no—
1542C2×C4—416no—
1543C2×C4—44no—
1544C2×C4—48no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—84no—
1548C2×C4—88no—
1549C2×C4—84no—
1550C2×C4—164no—
1551C2×C4C22×#4112yes—
1552C2×C4C22×#4118yes—
1553C2×C4C22×#4112yes—
1554C2×C4C22×#4112yes—
1555C2×C4C2×H(5,𝔽2)12yes—
1556C2×C4C2×H(5,𝔽2)12yes—
1557C2×C4C2×2−1+412yes—
1558C2×C4C2×2−1+412yes—
1559C2×C4C2×2−1+412yes—
1560C2×C4C2×2−1+412yes—
1561C2×C4#58512yes—
1562C2×C4#58512yes—
1563C22—22no—
1564C22—24no—
1565C22—24no—
1566C22—22no—
1567C22—24no—
1568C22—22no—
1569C22—41no—
1570C22—42no—
1571C22—42no—
1572C22—41no—
1573C22—41no—
1574C22—42no—
1575C22—42no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22C23×#4111yescharacteristic
1585C22C22×H(5,𝔽2)11yescharacteristic
1586C22C22×2−1+411yescharacteristic
1587C22C22×2−1+411yescharacteristic
1588C22C2×#58511yescharacteristic
1589C22C2×#58511yescharacteristic
1590C222−1+611yescharacteristic
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—28no—
1596C4—22no—
1597C4—42no—
1598C4—41no—
1599C4—44no—
1600C4—42no—
1601C4—42no—
1602C4—41no—
1603C4—42no—
1604C4—41no—
1605C4—41no—
1606C4—44no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C4—42no—
1614C4—41no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—41no—
1619C4—44no—
1620C4—42no—
1621C4#351314yes—
1622C4#351614yes—
1623C2—42no—
1624C2—44no—
1625C2—81no—
1626C2C2×#351311yescharacteristic
1627C2C2×#351611yescharacteristic
1628C2#6283511yescharacteristic
1629C2#6294211yescharacteristic
1630C2#6296811yescharacteristic
1631C2#6299811yescharacteristic
1632C2#6303211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59867C2semidirect
2. #59666C2semidirect
3. #59461C2semidirect
4. #59127C2semidirect
5. #59042C2semidirect
6. #51451C2semidirect
7. #48367C2semidirect
8. #46770C2semidirect
9. #45235C2semidirect
11. #45117C2semidirect
12. #45055C2semidirect
13. #44011C2semidirect
14. #42866C2semidirect
15. #42628C2semidirect
16. #40095C2semidirect
17. #39734C2semidirect
18. #39653C2semidirect
19. #39606C2semidirect
20. #39478C2semidirect
21. #39294C2semidirect
22. #38984C2semidirect
23. #38027C2semidirect
24. #36454C2semidirect
25. #36449C2semidirect
26. #36129C2semidirect
27. #35875C2semidirect
28. #35723C2semidirect
29. #35663C2semidirect
30. #35595C2semidirect
32. #34793C2semidirect
33. #34374C2semidirect
34. #34334C2semidirect
35. #34209C2semidirect

Maximal subgroups

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

subgroupindex
#598672
#596662
#594612
#591272
#590422
#514512
#483672
#467702
#452352
#452242
#451172
#450552
#440112
#428662
#426282
#400952
#397342
#396532
#396062
#394782
#392942
#389842
#380272
#364542
#364492
#361292
#358752
#357232
#356632
#355952
#349322
#347932
#343742
#343342
#342092