Finite Group Databasebeta

← #7732079

Subgroups — #7732079

Order 512.

4697 conjugacy classes of subgroups.

The subgroup lattice has 1677 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#49620C214yesmaximal, complemented
2#47914C214yesmaximal, complemented
3#47789C214yesmaximal, complemented
4#47698C214yesmaximal, complemented
5#45331C212yesmaximal, complemented
6#45250C212yesmaximal, complemented
7#44919C212yesmaximal, complemented
8#44914C212yesmaximal, complemented
9#39674C212yesmaximal, complemented
10#39608C211yesmaximal, characteristic, complemented
11#39353C211yesmaximal, characteristic, complemented
12#39260C212yesmaximal, complemented
13#39146C211yesmaximal, characteristic, complemented
14#38931C211yesmaximal, characteristic, complemented
15#38227C212yesmaximal, complemented
16#37961C212yesmaximal, complemented
17#37937C212yesmaximal, complemented
18#37882C212yesmaximal, complemented
19#37874C212yesmaximal, complemented
20#37765C212yesmaximal, complemented
21#37623C211yesmaximal, characteristic, complemented
22#37407C212yesmaximal, complemented
23#37342C212yesmaximal, complemented
24#36551C211yesmaximal, characteristic, complemented
25#36449C211yesmaximal, characteristic, complemented
26#36287C211yesmaximal, characteristic, complemented
27#36133C211yesmaximal, characteristic, complemented
28#35625C212yesmaximal, complemented
29#35526C212yesmaximal, complemented
30#35280C211yesmaximal, characteristic, complemented
31#35200C211yesmaximal, characteristic, complemented
32#34909C211yesmaximal, characteristic
33#34394C211yesmaximal, characteristic, complemented
34#34183C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36C2×#541C2212yes—
37C2×#533C2211yescharacteristic
38C2×#533C2212yes—
39C2×#520C2212yes—
40C2×C4×#41C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2863C2212yes—
43#2859C2212yes—
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2855C2212yes—
49#2851C2212yes—
50#2851C2212yes—
51#2851C2212yes—
52#2843C2214yes—
53#2796C2214yes—
54#2794C2214yes—
55#2794C2214yes—
56#2792C2214yes—
57#2791C2214yes—
58#2790C2214yes—
59#2788C2214yes—
60#2787C2214yes—
61#2786C2214yes—
62#2782C2214yes—
63#2775C2214yes—
64#2770C2214yes—
65#2770C2214yes—
66#2770C2214yes—
67#2768C2214yes—
68#2768C2214yes—
69#2767C2214yes—
70#2767C2214yes—
71#2766C2214yes—
72#2765C2214yes—
73#2763C2214yes—
74#2763C2214yes—
75#2758C2214yes—
76#2758C2214yes—
77#2750C2214yes—
78#2750C2214yes—
79#2749C2214yes—
80#2747C2214yes—
81#2746C2214yes—
82#2723C2214yes—
83#2723C2214yes—
84#2722C2214yes—
85#2721C2214yes—
86#2721C2214yes—
87#2720C2214yes—
88#2719C2214yes—
89#2719C2214yes—
90#2698C2214yes—
91#2692C2214yes—
92#2690C2214yes—
93#2660C2212yes—
94#2660C2212yes—
95#2647C2212yes—
96#2647C2212yes—
97#2647C2212yes—
98#2645C2212yes—
99#2638C2214yes—
100#2629C2212yes—
101#2629C2212yes—
102#2628C2212yes—
103#2627C2214yes—
104#2625C2212yes—
105#2612C2214yes—
106#2612C2214yes—
107#2611C2214yes—
108#2609C2214yes—
109#2603C2214yes—
110#2603C2214yes—
111#2601C2214yes—
112#2600C2212yes—
113#2600C2212yes—
114#2599C2214yes—
115#2599C2214yes—
116#2599C2212yes—
117#2598C2214yes—
118#2598C2212yes—
119#2589C2214yes—
120#2589C2214yes—
121#2583C2214yes—
122#2582C2212yes—
123#2582C2212yes—
124#2581C2211yescharacteristic
125#2580C2211yescharacteristic
126#2579C2214yes—
127#2578C2214yes—
128#2571C2211yescharacteristic
129#2570C2212yes—
130#2567C2211yescharacteristic
131#2563C2212yes—
132#2563C2211yescharacteristic
133#2562C2214yes—
134#2562C2212yes—
135#2556C2214yes—
136#2556C2214yes—
137#2552C2212yes—
138#2552C2211yescharacteristic
139#2552C2211yescharacteristic
140#2551C2211yescharacteristic
141#2547C2211yescharacteristic
142#2546C2211yescharacteristic
143#2538C2212yes—
144#2538C2212yes—
145#2536C2214yes—
146#2536C2211yescharacteristic
147#2535C2211yescharacteristic
148#2533C2214yes—
149#2530C2214yes—
150#2530C2214yes—
151#2528C2214yes—
152#2524C2214yes—
153#2509C2212yes—
154#2508C2212yes—
155#2508C2212yes—
156#2506C2212yes—
157#2506C2212yes—
158#2506C2212yes—
159#2499C2212yes—
160#2497C2212yes—
161#2497C2212yes—
162#2497C2212yes—
163#2496C2212yes—
164#2496C2212yes—
165#2496C2212yes—
166#2496C2212yes—
167#2495C2212yes—
168#2495C2212yes—
169#2494C2212yes—
170#2487C2212yes—
171#2487C2212yes—
172#2487C2212yes—
173#2485C2212yes—
174#2485C2211yescharacteristic
175#2485C2212yes—
176#2485C2211yescharacteristic
177#2485C2212yes—
178#2481C2214yes—
179#2481C2214yes—
180#2479C2214yes—
181#2475C2214yes—
182#2473C2214yes—
183#2473C2214yes—
184#2473C2214yes—
185#2469C2214yes—
186#2467C2214yes—
187#2463C2214yes—
188#2462C2214yes—
189#2462C2214yes—
190#2460C2214yes—
191#2460C2214yes—
192#2454C2212yes—
193#2453C2212yes—
194#2452C2212yes—
195#2451C2212yes—
196#2450C2214yes—
197#2449C2214yes—
198#2446C2212yes—
199#2446C2212yes—
200#2442C2212yes—
201#2442C2212yes—
202#2442C2212yes—
203#2441C2212yes—
204#2440C2212yes—
205#2440C2212yes—
206#2440C2212yes—
207#2440C2212yes—
208#2438C2214yes—
209#2432C2212yes—
210#2427C2212yes—
211#2427C2212yes—
212#2423C2212yes—
213#2423C2212yes—
214#2421C2212yes—
215#2421C2212yes—
216#2417C2212yes—
217#2417C2212yes—
218#2417C2212yes—
219#2417C2212yes—
220#2407C2211yescharacteristic
221#2407C2211yescharacteristic
222#2395C2212yes—
223#2388C2212yes—
224#2378C2214yes—
225#2370C2212yes—
226#2369C2211yescharacteristic
227#2369C2211yescharacteristic
228#2365C2212yes—
229#2365C2211yescharacteristic
230#2365C2211yescharacteristic
231#2356C2212yes—
232#2352C2212yes—
233#2351C2212yes—
234Q8×C4⋊C4C2211yescharacteristic
235Q8×C4⋊C4C2212yes—
236Q8×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2212yes—
238D4×C4⋊C4C2214yes—
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2212yes—
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2211yescharacteristic
244#2347C2212yes—
245#2346C2212yes—
246#2346C2212yes—
247#2345C2212yes—
248#2345C2212yes—
249#2344C2212yes—
250#2330C2212yes—
251#2330C2212yes—
252#2327C2212yes—
253#2326C2212yes—
254#2326C2212yes—
255#2324C2212yes—
256#2323C2212yes—
257#2323C2212yes—
258#2320C2212yes—
259#2320C2212yes—
260#2320C2214yes—
261#2319C2212yes—
262#2318C2212yes—
263#2318C2212yes—
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2212yes—
267#2317C2214yes—
268#2316C2212yes—
269#2314C2211yescharacteristic
270#2314C2211yescharacteristic
271#2314C2211yescharacteristic
272#2314C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2212yes—
276C4×#124C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282#2295C2212yes—
283#2295C2212yes—
284#2293C2212yes—
285#2290C2212yes—
286#2290C2212yes—
287#2290C2212yes—
288#2290C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2212yes—
292C2×#384C2211yescharacteristic
293C2×#384C2212yes—
294#2283C2211yescharacteristic
295#2283C2211yescharacteristic
296#2283C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301#541—48no—
302#533—28no—
303#533—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#124C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×#121C2311yescharacteristic
332C2×#121C2311yescharacteristic
333#520—48no—
334C4×#41—28no—
335C4×#41—28no—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2314yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2314yes—
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2314yes—
374C2×#117C2312yes—
375C2×#117C2314yes—
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2314yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2314yes—
384C22×C4⋊C4C2312yes—
385C22×C42C2312yes—
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2312yes—
389C22×C42C2311yescharacteristic
390#401C2314yes—
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#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#399C2312yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
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#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#395C2314yes—
463#395C2312yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2312yes—
476#394C2312yes—
477#394C2312yes—
478#394C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2312yes—
483#392C2312yes—
484#392C2312yes—
485#392C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2312yes—
490#391C2311yescharacteristic
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2314yes—
503#390C2312yes—
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
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#387C2314yes—
643#387C2314yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2314yes—
652#386C2312yes—
653#386C2314yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2314yes—
658#386C2312yes—
659#386C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2314yes—
690#384C2312yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2314yes—
699#384C2312yes—
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2314yes—
704#384C2312yes—
705#384C2312yes—
706#383C2312yes—
707#383C2312yes—
708#383C2312yes—
709#383C2314yes—
710#383C2314yes—
711#383C2314yes—
712#382C2312yes—
713#382C2314yes—
714#382C2311yescharacteristic
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2311yescharacteristic
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2314yes—
722#382C2312yes—
723#382C2314yes—
724#382C2314yes—
725#382C2311yescharacteristic
726#382C2311yescharacteristic
727#382C2314yes—
728#381C2312yes—
729#381C2312yes—
730#381C2314yes—
731#381C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2314yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2314yes—
765#380C2312yes—
766#380C2314yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2314yes—
811#376C2312yes—
812#376C2312yes—
813#376C2314yes—
814C2×#95C2312yes—
815C43C2312yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—42no—
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C4⋊Q8—28no—
852C4⋊Q8—24no—
853C4⋊Q8—24no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856#126—48no—
857#126—48no—
858#126—84no—
859#125—28no—
860#125—44no—
861#125—44no—
862#125—48no—
863#125—48no—
864#125—48no—
865#125—84no—
866#124—28no—
867C22⋊Q8—24no—
868C22⋊Q8—24no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—48no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—82no—
875C22⋊Q8—84no—
876C22⋊Q8—84no—
877C22⋊Q8—82no—
878#121—24no—
879#121—24no—
880C4×Q8—28no—
881C4×Q8—28no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—28no—
887C4×Q8—28no—
888C4×Q8—48no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×D4—28no—
892C4×D4—24no—
893C4×D4—24no—
894C4×D4—28no—
895C4×D4—24no—
896C4×D4—24no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—48no—
905C4×D4—48no—
906C4×D4—44no—
907C4×D4—84no—
908#117—24no—
909#117—24no—
910#117—28no—
911#117—24no—
912#117—24no—
913#117—24no—
914#117—28no—
915#117—44no—
916#117—48no—
917#117—44no—
918#117—48no—
919#117—42no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—42no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—48no—
927C2×C4⋊C4—82no—
928C2×C4⋊C4—84no—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C42—28no—
1054C2×C42—24no—
1055C2×C42—24no—
1056C2×C42—44no—
1057C2×C42#4118yes—
1058C2×C42C2412yes—
1059C2×C42C2414yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168C24C2511yescharacteristic
1169C24C2511yescharacteristic
1170C24C2511yescharacteristic
1171C24C2512yes—
1172#41—232no—
1173#41—416no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—41no—
1183C2×Q8—44no—
1184C2×Q8—42no—
1185C2×Q8—44no—
1186C2×Q8—44no—
1187C2×Q8—42no—
1188C2×Q8H(5,𝔽2)14yes—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—42no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D42−1+414yes—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—42no—
1236C22×C4—41no—
1237C22×C4—42no—
1238C22×C4—41no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4C2×#4114yes—
1258C22×C4C2×#4114yes—
1259C22×C4C2×#4114yes—
1260C22×C42−1+414yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2514yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
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—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—22no—
1421C42—22no—
1422C42—24no—
1423C42—22no—
1424C42—22no—
1425C42—28no—
1426C42—24no—
1427C42—24no—
1428C42—28no—
1429C42—24no—
1430C42—28no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—42no—
1436C42—42no—
1437C42—42no—
1438C42—44no—
1439C42—42no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42—42no—
1444C42C2×#4114yes—
1445C42C2×#4114yes—
1446C42C2×#4114yes—
1447C42C2×#4114yes—
1448C23—22no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—22no—
1453C23—22no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—22no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—21no—
1464C23—22no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23C22×#4112yes—
1474C23C2×2−1+414yes—
1475C23C2×2−1+412yes—
1476C23C2611yescharacteristic
1477Q8—28no—
1478Q8—44no—
1479Q8—48no—
1480Q8—84no—
1481Q8—88no—
1482D4—216no—
1483D4—28no—
1484D4—44no—
1485D4—44no—
1486D4—48no—
1487D4—44no—
1488D4—84no—
1489C2×C4—216no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—28no—
1503C2×C4—28no—
1504C2×C4—28no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—44no—
1575C2×C4—48no—
1576C2×C4—48no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—48no—
1580C2×C4—44no—
1581C2×C4—82no—
1582C2×C4—82no—
1583C2×C4—84no—
1584C2×C4—164no—
1585C2×C4—164no—
1586C2×C4—164no—
1587C2×C4C22×#4112yes—
1588C2×C4C22×#4112yes—
1589C2×C4C22×#4112yes—
1590C2×C4C22×#4112yes—
1591C2×C4C22×#4112yes—
1592C2×C4C22×#4112yes—
1593C2×C4C2×H(5,𝔽2)14yes—
1594C2×C4C2×H(5,𝔽2)12yes—
1595C2×C4C2×2−1+412yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4C2×2−1+412yes—
1598C2×C4#58512yes—
1599C22—22no—
1600C22—24no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—24no—
1607C22—24no—
1608C22—41no—
1609C22—42no—
1610C22—42no—
1611C22—41no—
1612C22—42no—
1613C22—41no—
1614C22—41no—
1615C22—42no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22C23×#4111yescharacteristic
1628C22C22×H(5,𝔽2)11yescharacteristic
1629C22C22×2−1+411yescharacteristic
1630C22C22×2−1+411yescharacteristic
1631C22C2×#58511yescharacteristic
1632C22H(7,𝔽2)11yescharacteristic
1633C222−1+611yescharacteristic
1634C4—22no—
1635C4—24no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—41no—
1641C4—41no—
1642C4—44no—
1643C4—42no—
1644C4—41no—
1645C4—42no—
1646C4—41no—
1647C4—41no—
1648C4—44no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—44no—
1657C4—44no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4#349214yes—
1664C4#349514yes—
1665C2—42no—
1666C2—44no—
1667C2—42no—
1668C2—81no—
1669C2C2×#349211yescharacteristic
1670C2C2×#349511yescharacteristic
1671C2#6285611yescharacteristic
1672C2#6291311yescharacteristic
1673C2#6292311yescharacteristic
1674C2#6294511yescharacteristic
1675C2#6295011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34909C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #49620C2semidirect
2. #47914C2semidirect
3. #47789C2semidirect
4. #47698C2semidirect
5. #45331C2semidirect
6. #45250C2semidirect
7. #44919C2semidirect
8. #44914C2semidirect
9. #39674C2semidirect
10. #39608C2semidirect
11. #39353C2semidirect
12. #39260C2semidirect
13. #39146C2semidirect
14. #38931C2semidirect
15. #38227C2semidirect
16. #37961C2semidirect
17. #37937C2semidirect
18. #37882C2semidirect
19. #37874C2semidirect
20. #37765C2semidirect
21. #37623C2semidirect
22. #37407C2semidirect
23. #37342C2semidirect
24. #36551C2semidirect
25. #36449C2semidirect
26. #36287C2semidirect
27. #36133C2semidirect
28. #35625C2semidirect
29. #35526C2semidirect
30. #35280C2semidirect
31. #35200C2semidirect
33. #34394C2semidirect
34. #34183C2semidirect
35. #34060C2semidirect

Maximal subgroups

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

subgroupindex
#496202
#479142
#477892
#476982
#453312
#452502
#449192
#449142
#396742
#396082
#393532
#392602
#391462
#389312
#382272
#379612
#379372
#378822
#378742
#377652
#376232
#374072
#373422
#365512
#364492
#362872
#361332
#356252
#355262
#352802
#352002
#349092
#343942
#341832
#340602