Finite Group Databasebeta

← #7646124

Subgroups — #7646124

Order 512.

4362 conjugacy classes of subgroups.

The subgroup lattice has 1577 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42782C212yesmaximal, complemented
2#42780C212yesmaximal, complemented
3#42738C212yesmaximal, complemented
4#42733C212yesmaximal, complemented
5#42626C212yesmaximal, complemented
6#42623C212yesmaximal, complemented
7#42587C212yesmaximal, complemented
8#42582C212yesmaximal, complemented
9#40227C212yesmaximal, complemented
10#40213C212yesmaximal, complemented
11#40107C212yesmaximal, complemented
12#40096C212yesmaximal, complemented
13#39661C212yesmaximal, complemented
14#39653C212yesmaximal, complemented
15#39225C212yesmaximal, complemented
16#39217C212yesmaximal, complemented
17#37495C214yesmaximal, complemented
18#36825C214yesmaximal, complemented
19#36810C214yesmaximal, complemented
20#35585C211yesmaximal, characteristic, complemented
21#35576C211yesmaximal, characteristic, complemented
22#35575C211yesmaximal, characteristic
23#35574C211yesmaximal, characteristic
24#35267C211yesmaximal, characteristic
25#35265C211yesmaximal, characteristic, complemented
26#35181C211yesmaximal, characteristic, complemented
27#35160C211yesmaximal, characteristic
28#35160C211yesmaximal, characteristic
29#35159C211yesmaximal, characteristic, complemented
30#35061C214yesmaximal, complemented
31#34816C211yesmaximal, characteristic
32#34815C211yesmaximal, characteristic, complemented
33#34252C211yesmaximal, characteristic
34C2×#2369C211yesmaximal, characteristic, complemented
35C4×#544C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C22×C4⋊Q8C2211yescharacteristic
38C2×#520C2211yescharacteristic
39#2864C2212yes—
40#2863C2212yes—
41#2860C2212yes—
42#2859C2212yes—
43#2852C2214yes—
44#2852C2214yes—
45#2851C2214yes—
46#2851C2214yes—
47#2833C2214yes—
48#2833C2214yes—
49#2831C2214yes—
50#2831C2214yes—
51#2802C2214yes—
52#2802C2214yes—
53#2798C2214yes—
54#2789C2214yes—
55#2776C2214yes—
56#2772C2214yes—
57#2766C2214yes—
58#2762C2214yes—
59#2762C2214yes—
60#2758C2214yes—
61#2758C2214yes—
62#2758C2214yes—
63#2755C2214yes—
64#2755C2214yes—
65#2754C2214yes—
66#2739C2214yes—
67#2725C2214yes—
68#2725C2214yes—
69#2725C2214yes—
70#2722C2214yes—
71#2719C2214yes—
72#2719C2214yes—
73#2716C2214yes—
74#2716C2214yes—
75#2713C2214yes—
76#2713C2214yes—
77#2704C2214yes—
78#2704C2214yes—
79#2698C2214yes—
80#2698C2214yes—
81#2690C2214yes—
82#2689C2214yes—
83#2666C2214yes—
84#2666C2214yes—
85#2666C2214yes—
86#2664C2214yes—
87#2655C2214yes—
88#2650C2214yes—
89#2650C2214yes—
90#2650C2214yes—
91#2647C2212yes—
92#2647C2212yes—
93#2646C2214yes—
94#2646C2214yes—
95#2645C2214yes—
96#2645C2212yes—
97#2644C2212yes—
98#2643C2214yes—
99#2643C2214yes—
100#2642C2214yes—
101#2625C2214yes—
102#2621C2214yes—
103#2583C2214yes—
104#2579C2214yes—
105#2571C2212yes—
106#2571C2212yes—
107#2570C2212yes—
108#2570C2212yes—
109#2570C2212yes—
110#2570C2212yes—
111#2569C2214yes—
112#2564C2214yes—
113#2552C2212yes—
114#2552C2212yes—
115#2551C2212yes—
116#2551C2212yes—
117#2551C2212yes—
118#2551C2212yes—
119#2550C2212yes—
120#2550C2212yes—
121#2550C2212yes—
122#2550C2212yes—
123#2533C2214yes—
124#2528C2214yes—
125#2524C2214yes—
126#2519C2214yes—
127#2514C2211yescharacteristic
128#2514C2211yescharacteristic
129#2514C2212yes—
130#2514C2214yes—
131#2514C2212yes—
132#2513C2211yescharacteristic
133#2513C2211yescharacteristic
134#2513C2212yes—
135#2513C2212yes—
136#2512C2211yescharacteristic
137#2512C2211yescharacteristic
138#2512C2212yes—
139#2512C2212yes—
140#2511C2211yescharacteristic
141#2511C2211yescharacteristic
142#2511C2212yes—
143#2511C2212yes—
144#2510C2212yes—
145#2510C2212yes—
146#2510C2214yes—
147#2509C2212yes—
148#2509C2212yes—
149#2509C2212yes—
150#2509C2212yes—
151#2509C2211yescharacteristic
152#2509C2212yes—
153#2509C2211yescharacteristic
154#2508C2212yes—
155#2508C2212yes—
156#2508C2212yes—
157#2508C2212yes—
158#2508C2212yes—
159#2508C2211yescharacteristic
160#2508C2211yescharacteristic
161#2507C2212yes—
162#2507C2212yes—
163#2507C2212yes—
164#2507C2212yes—
165#2507C2212yes—
166#2507C2211yescharacteristic
167#2507C2211yescharacteristic
168#2506C2212yes—
169#2506C2212yes—
170#2506C2211yescharacteristic
171#2506C2212yes—
172#2506C2211yescharacteristic
173#2506C2212yes—
174#2506C2212yes—
175#2505C2212yes—
176#2505C2214yes—
177#2505C2212yes—
178#2497C2212yes—
179#2497C2212yes—
180#2497C2212yes—
181#2496C2212yes—
182#2496C2212yes—
183#2496C2212yes—
184#2495C2212yes—
185#2495C2212yes—
186#2495C2212yes—
187#2494C2212yes—
188#2494C2212yes—
189#2494C2212yes—
190#2489C2214yes—
191#2481C2212yes—
192#2481C2212yes—
193#2481C2214yes—
194#2478C2214yes—
195#2475C2214yes—
196#2473C2214yes—
197#2473C2212yes—
198#2473C2212yes—
199#2469C2214yes—
200#2462C2214yes—
201#2454C2212yes—
202#2453C2212yes—
203#2452C2212yes—
204#2452C2212yes—
205#2452C2212yes—
206#2451C2212yes—
207#2451C2212yes—
208#2451C2212yes—
209#2446C2214yes—
210#2442C2214yes—
211#2442C2212yes—
212#2441C2212yes—
213#2440C2212yes—
214#2440C2212yes—
215#2440C2212yes—
216#2439C2212yes—
217#2439C2212yes—
218#2439C2212yes—
219#2434C2214yes—
220#2429C2214yes—
221#2417C2214yes—
222#2409C2214yes—
223#2402C2212yes—
224#2402C2212yes—
225#2401C2212yes—
226#2401C2212yes—
227#2369C2212yes—
228#2369C2212yes—
229#2369C2212yes—
230#2369C2212yes—
231#2369C2212yes—
232#2369C2212yes—
233#2369C2212yes—
234#2369C2212yes—
235#2357C2212yes—
236#2356C2212yes—
237#2355C2212yes—
238#2354C2212yes—
239#2347C2212yes—
240#2346C2212yes—
241#2345C2212yes—
242#2344C2212yes—
243#2336C2214yes—
244#2336C2214yes—
245#2334C2214yes—
246#2334C2214yes—
247#2331C2212yes—
248#2331C2212yes—
249#2330C2212yes—
250#2330C2212yes—
251#2329C2214yes—
252#2318C2214yes—
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2316C2211yescharacteristic
261#2316C2211yescharacteristic
262#2316C2211yescharacteristic
263#2311C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266C4×C4⋊Q8C2212yes—
267C4×C4⋊Q8C2212yes—
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×#126C2212yes—
273C4×#126C2212yes—
274C4×C22⋊Q8C2214yes—
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2297C2211yescharacteristic
278#2296C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283C2×#391C2212yes—
284C2×#391C2212yes—
285C2×#389C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#389C2212yes—
288#2290C2214yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2274C2211yescharacteristic
292C4×#117C2211yescharacteristic
293C4×#117C2211yescharacteristic
294C2×C4×C4⋊C4C2211yescharacteristic
295C2×C4×C4⋊C4C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301#544—28no—
302C2×C4⋊Q8—28no—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2314yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328#520—28no—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2314yes—
331C2×C4×D4C2314yes—
332C2×C4×D4C2312yes—
333C2×#117C2311yescharacteristic
334C2×#117C2311yescharacteristic
335C2×#117C2311yescharacteristic
336C2×#117C2311yescharacteristic
337C2×#117C2311yescharacteristic
338C2×#117C2311yescharacteristic
339C2×#117C2311yescharacteristic
340C2×#117C2312yes—
341C2×#117C2314yes—
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2312yes—
346C22×C4⋊C4C2312yes—
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2312yes—
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354C22×C42C2311yescharacteristic
355C22×C42C2312yes—
356C22×C42C2312yes—
357C22×C42C2312yes—
358#401C2312yes—
359#401C2314yes—
360#401C2314yes—
361#401C2314yes—
362#401C2312yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2312yes—
371#400C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2312yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2312yes—
432#398C2312yes—
433#398C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2312yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
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#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#386C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#383C2312yes—
696#383C2312yes—
697#383C2314yes—
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2311yescharacteristic
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2314yes—
717#382C2314yes—
718#382C2314yes—
719#381C2314yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804C2×#95C2312yes—
805C2×#95C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2311yescharacteristic
810C2×#95C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—24no—
816C22×Q8—28no—
817C22×Q8—82no—
818C22×Q8—82no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×Q8C2414yes—
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C4⋊Q8—28no—
839C4⋊Q8—28no—
840C4⋊Q8—28no—
841C4⋊Q8—28no—
842C4⋊Q8—28no—
843C4⋊Q8—28no—
844C4⋊Q8—84no—
845C4⋊Q8—84no—
846#126—28no—
847#126—48no—
848#126—44no—
849#126—84no—
850#126—84no—
851#125—28no—
852#125—28no—
853#125—28no—
854#125—48no—
855#125—44no—
856#125—84no—
857#125—84no—
858#125—84no—
859C22⋊Q8—216no—
860C22⋊Q8—84no—
861C22⋊Q8—84no—
862C22⋊Q8—84no—
863C4×Q8—28no—
864C4×Q8—84no—
865C4×D4—216no—
866C4×D4—28no—
867#117—24no—
868#117—24no—
869#117—24no—
870#117—24no—
871#117—24no—
872#117—24no—
873#117—24no—
874#117—28no—
875#117—84no—
876C2×C4⋊C4—28no—
877C2×C4⋊C4—24no—
878C2×C4⋊C4—24no—
879C2×C4⋊C4—24no—
880C2×C4⋊C4—28no—
881C2×C4⋊C4—24no—
882C2×C4⋊C4—42no—
883C2×C4⋊C4—82no—
884C2×C4⋊C4—82no—
885C2×C4⋊C4#4118yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C42—24no—
1001C2×C42—24no—
1002C2×C42—24no—
1003C2×C42—44no—
1004C2×C42—82no—
1005C2×C42—82no—
1006C2×C42C2414yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2414yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2411yescharacteristic
1045#95C2411yescharacteristic
1046#95C2414yes—
1047#95C2411yescharacteristic
1048#95C2411yescharacteristic
1049#95C2414yes—
1050#95C2414yes—
1051#95C2411yescharacteristic
1052#95C2411yescharacteristic
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136C24C2512yes—
1137C24C2511yescharacteristic
1138#41—416no—
1139C2×Q8—22no—
1140C2×Q8—28no—
1141C2×Q8—28no—
1142C2×Q8—28no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—44no—
1146C2×Q8—44no—
1147C2×Q8—44no—
1148C2×Q8—44no—
1149C2×Q8—44no—
1150C2×Q8—44no—
1151C2×Q8—816no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—24no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—24no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—28no—
1175C22×C4—42no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—42no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—42no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4C2×#4118yes—
1194C22×C4C2×#4114yes—
1195C22×C42−1+414yes—
1196C22×C42−1+414yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2514yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2514yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C4⋊C4—22no—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—28no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—28no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4C2×#4118yes—
1316C4⋊C4C2×#4118yes—
1317C4⋊C42−1+414yes—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—28no—
1349C42—24no—
1350C42—24no—
1351C42—24no—
1352C42—22no—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—24no—
1361C42—24no—
1362C42—24no—
1363C42—24no—
1364C42—24no—
1365C42—24no—
1366C42—28no—
1367C42—44no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C42—44no—
1372C42—44no—
1373C42—42no—
1374C42—42no—
1375C42—42no—
1376C42—42no—
1377C42—44no—
1378C42—42no—
1379C42—42no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23C22×#4112yes—
1392C23C2×2−1+412yes—
1393C23C2×2−1+412yes—
1394C23C2611yescharacteristic
1395Q8—44no—
1396Q8—88no—
1397Q8—88no—
1398Q8—88no—
1399D4—48no—
1400D4—44no—
1401C2×C4—28no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—24no—
1411C2×C4—24no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—48no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—48no—
1494C2×C4—48no—
1495C2×C4—44no—
1496C2×C4—48no—
1497C2×C4—88no—
1498C2×C4—82no—
1499C2×C4—82no—
1500C2×C4—84no—
1501C2×C4#541116yes—
1502C2×C4C22×#4118yes—
1503C2×C4C22×#4112yes—
1504C2×C4C22×#4112yes—
1505C2×C4C2×2−1+412yes—
1506C2×C4C2×2−1+412yes—
1507C2×C4C2×2−1+412yes—
1508C2×C4C2×2−1+412yes—
1509C2×C4C2×2−1+412yes—
1510C2×C4C2×2−1+412yes—
1511C2×C4C2×2−1+412yes—
1512C2×C4#58512yes—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22C2×#54114yes—
1527C22C23×#4111yescharacteristic
1528C22C22×2−1+411yescharacteristic
1529C22C22×2−1+411yescharacteristic
1530C22C22×2−1+411yescharacteristic
1531C22C2×#58511yescharacteristic
1532C22H(7,𝔽2)11yescharacteristic
1533C22H(7,𝔽2)11yescharacteristic
1534C4—22no—
1535C4—22no—
1536C4—28no—
1537C4—22no—
1538C4—22no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C4—44no—
1543C4—41no—
1544C4—41no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—42no—
1550C4—42no—
1551C4—44no—
1552C4—42no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—44no—
1558C4—42no—
1559C4—42no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—41no—
1564C4—41no—
1565C4C2×#54114yes—
1566C4C2×#54114yes—
1567C2—24no—
1568C2—82no—
1569C2C22×#54111yescharacteristic
1570C2#6278811yescharacteristic
1571C2#6284611yescharacteristic
1572C2#6292611yescharacteristic
1573C2#6292911yescharacteristic
1574C2#6294311yescharacteristic
1575C2#6294511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42782C2semidirect
2. #42780C2semidirect
3. #42738C2semidirect
4. #42733C2semidirect
5. #42626C2semidirect
6. #42623C2semidirect
7. #42587C2semidirect
8. #42582C2semidirect
9. #40227C2semidirect
10. #40213C2semidirect
11. #40107C2semidirect
12. #40096C2semidirect
13. #39661C2semidirect
14. #39653C2semidirect
15. #39225C2semidirect
16. #39217C2semidirect
17. #37495C2semidirect
18. #36825C2semidirect
19. #36810C2semidirect
20. #35585C2semidirect
21. #35576C2semidirect
25. #35265C2semidirect
26. #35181C2semidirect
29. #35159C2semidirect
30. #35061C2semidirect
32. #34815C2semidirect
34. C2×#2369C2semidirect
35. C4×#544C2semidirect

Maximal subgroups

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

subgroupindex
#427822
#427802
#427382
#427332
#426262
#426232
#425872
#425822
#402272
#402132
#401072
#400962
#396612
#396532
#392252
#392172
#374952
#368252
#368102
#355852
#355762
#355752
#355742
#352672
#352652
#351812
#351602
#351592
#350612
#348162
#348152
#342522
C2×#23692
C4×#5442