Finite Group Databasebeta

← #7987211

Subgroups — #7987211

Order 512.

4303 conjugacy classes of subgroups.

The subgroup lattice has 1573 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59642C211yesmaximal, characteristic, complemented
2#59482C212yesmaximal, complemented
3#59443C211yesmaximal, characteristic, complemented
4#59436C211yesmaximal, characteristic, complemented
5#59333C212yesmaximal, complemented
6#50432C214yesmaximal, complemented
7#50428C214yesmaximal, complemented
8#46182C214yesmaximal, complemented
9#45366C212yesmaximal, complemented
10#45254C212yesmaximal, complemented
11#45192C212yesmaximal, complemented
12#45145C212yesmaximal, complemented
13#42959C212yesmaximal, complemented
14#42938C212yesmaximal, complemented
15#42772C212yesmaximal, complemented
16#42770C212yesmaximal, complemented
17#40251C214yesmaximal, complemented
18#39769C211yesmaximal, characteristic, complemented
19#39731C212yesmaximal, complemented
20#39490C211yesmaximal, characteristic, complemented
21#39488C211yesmaximal, characteristic
22#39203C211yesmaximal, characteristic, complemented
23#39068C212yesmaximal, complemented
24#36598C211yesmaximal, characteristic, complemented
25#36420C212yesmaximal, complemented
26#36408C212yesmaximal, complemented
27#36286C211yesmaximal, characteristic, complemented
28#36164C211yesmaximal, characteristic
29#35339C212yesmaximal, complemented
30#35204C212yesmaximal, complemented
31#34941C211yesmaximal, characteristic, complemented
32#34902C211yesmaximal, characteristic, complemented
33#34484C211yesmaximal, characteristic, complemented
34#34480C211yesmaximal, characteristic
35C4×#556C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#547C2211yescharacteristic
39#2868C2211yescharacteristic
40#2865C2214yes—
41#2864C2214yes—
42#2864C2214yes—
43#2863C2212yes—
44#2862C2211yescharacteristic
45#2862C2211yescharacteristic
46#2850C2212yes—
47#2839C2214yes—
48#2838C2214yes—
49#2807C2214yes—
50#2798C2214yes—
51#2794C2214yes—
52#2794C2214yes—
53#2793C2214yes—
54#2790C2214yes—
55#2786C2214yes—
56#2776C2214yes—
57#2775C2214yes—
58#2770C2214yes—
59#2767C2214yes—
60#2766C2214yes—
61#2762C2214yes—
62#2758C2214yes—
63#2754C2214yes—
64#2751C2214yes—
65#2750C2214yes—
66#2750C2214yes—
67#2746C2214yes—
68#2745C2214yes—
69#2745C2214yes—
70#2744C2214yes—
71#2743C2214yes—
72#2740C2214yes—
73#2739C2214yes—
74#2739C2214yes—
75#2738C2214yes—
76#2738C2214yes—
77#2737C2214yes—
78#2718C2214yes—
79#2718C2214yes—
80#2689C2214yes—
81#2689C2214yes—
82#2666C2214yes—
83#2655C2214yes—
84#2654C2214yes—
85#2652C2214yes—
86#2647C2214yes—
87#2647C2214yes—
88#2642C2212yes—
89#2625C2212yes—
90#2621C2212yes—
91#2620C2212yes—
92#2609C2214yes—
93#2605C2214yes—
94#2599C2214yes—
95#2596C2214yes—
96#2596C2212yes—
97#2595C2214yes—
98#2594C2212yes—
99#2592C2211yescharacteristic
100#2590C2214yes—
101#2589C2214yes—
102#2588C2214yes—
103#2585C2214yes—
104#2582C2212yes—
105#2582C2212yes—
106#2581C2211yescharacteristic
107#2581C2212yes—
108#2580C2212yes—
109#2578C2214yes—
110#2578C2214yes—
111#2574C2212yes—
112#2574C2212yes—
113#2573C2214yes—
114#2571C2212yes—
115#2571C2212yes—
116#2570C2211yescharacteristic
117#2570C2212yes—
118#2570C2212yes—
119#2570C2212yes—
120#2570C2212yes—
121#2570C2212yes—
122#2570C2212yes—
123#2570C2212yes—
124#2570C2212yes—
125#2570C2212yes—
126#2569C2214yes—
127#2569C2214yes—
128#2569C2214yes—
129#2569C2214yes—
130#2568C2212yes—
131#2568C2211yescharacteristic
132#2568C2211yescharacteristic
133#2568C2211yescharacteristic
134#2567C2211yescharacteristic
135#2567C2211yescharacteristic
136#2565C2212yes—
137#2563C2211yescharacteristic
138#2563C2211yescharacteristic
139#2552C2211yescharacteristic
140#2545C2211yescharacteristic
141#2542C2211yescharacteristic
142#2538C2211yescharacteristic
143#2533C2214yes—
144#2533C2214yes—
145#2532C2214yes—
146#2531C2214yes—
147#2531C2214yes—
148#2530C2214yes—
149#2529C2214yes—
150#2528C2214yes—
151#2527C2214yes—
152#2525C2212yes—
153#2524C2214yes—
154#2515C2214yes—
155#2515C2214yes—
156#2514C2212yes—
157#2514C2212yes—
158#2514C2212yes—
159#2514C2211yescharacteristic
160#2513C2212yes—
161#2513C2212yes—
162#2512C2211yescharacteristic
163#2511C2212yes—
164#2511C2212yes—
165#2511C2212yes—
166#2511C2212yes—
167#2511C2212yes—
168#2511C2212yes—
169#2508C2211yescharacteristic
170#2508C2211yescharacteristic
171#2504C2212yes—
172#2503C2212yes—
173#2503C2212yes—
174#2502C2212yes—
175#2502C2212yes—
176#2500C2212yes—
177#2499C2212yes—
178#2497C2212yes—
179#2495C2212yes—
180#2494C2212yes—
181#2493C2214yes—
182#2493C2214yes—
183#2492C2212yes—
184#2489C2212yes—
185#2489C2212yes—
186#2489C2212yes—
187#2488C2214yes—
188#2488C2214yes—
189#2479C2214yes—
190#2478C2214yes—
191#2477C2214yes—
192#2469C2212yes—
193#2454C2211yescharacteristic
194#2454C2211yescharacteristic
195#2453C2212yes—
196#2453C2212yes—
197#2451C2212yes—
198#2448C2211yescharacteristic
199#2447C2212yes—
200#2447C2212yes—
201#2447C2212yes—
202#2446C2212yes—
203#2446C2212yes—
204#2446C2212yes—
205#2446C2212yes—
206#2446C2211yescharacteristic
207#2446C2212yes—
208#2442C2212yes—
209#2438C2214yes—
210#2432C2212yes—
211#2432C2212yes—
212#2429C2212yes—
213#2429C2212yes—
214#2423C2212yes—
215#2423C2212yes—
216#2421C2212yes—
217#2401C2212yes—
218#2396C2212yes—
219#2396C2212yes—
220#2396C2212yes—
221#2378C2214yes—
222#2376C2214yes—
223#2373C2214yes—
224#2370C2212yes—
225#2369C2211yescharacteristic
226#2367C2212yes—
227#2367C2212yes—
228#2365C2211yescharacteristic
229#2365C2212yes—
230#2365C2211yescharacteristic
231#2363C2212yes—
232#2362C2212yes—
233#2362C2212yes—
234#2360C2212yes—
235#2360C2212yes—
236#2356C2212yes—
237#2356C2212yes—
238#2356C2212yes—
239#2356C2212yes—
240#2355C2211yescharacteristic
241#2355C2212yes—
242#2355C2212yes—
243#2355C2212yes—
244#2354C2212yes—
245#2354C2212yes—
246#2354C2211yescharacteristic
247Q8×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2211yescharacteristic
249#2347C2212yes—
250#2345C2212yes—
251#2344C2212yes—
252#2344C2212yes—
253#2343C2214yes—
254#2341C2212yes—
255#2339C2212yes—
256#2339C2212yes—
257#2335C2214yes—
258#2330C2212yes—
259#2327C2212yes—
260#2324C2212yes—
261#2323C2212yes—
262#2323C2212yes—
263#2323C2212yes—
264#2323C2214yes—
265#2319C2212yes—
266#2317C2212yes—
267#2317C2212yes—
268#2316C2212yes—
269#2316C2212yes—
270#2311C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×#125C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#126C2212yes—
279C4×#126C2214yes—
280C4×#124C2211yescharacteristic
281C4×#124C2211yescharacteristic
282C4×#124C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2212yes—
285#2298C2214yes—
286#2298C2212yes—
287#2295C2211yescharacteristic
288#2295C2212yes—
289#2293C2211yescharacteristic
290#2293C2211yescharacteristic
291#2293C2211yescharacteristic
292#2285C2212yes—
293C2×#382C2212yes—
294C42×Q8C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2312yes—
300#556—28no—
301#554—28no—
302#547—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#126C2314yes—
311C2×#126C2312yes—
312C2×#125C2312yes—
313C2×#125C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#124C2311yescharacteristic
316C2×#124C2312yes—
317C2×#124C2311yescharacteristic
318C2×#123C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×#121C2312yes—
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×#117C2312yes—
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2314yes—
354C2×#117C2314yes—
355C22×C4⋊C4C2312yes—
356C22×C4⋊C4C2312yes—
357C22×C4⋊C4C2312yes—
358C22×C42C2312yes—
359#401C2314yes—
360#401C2312yes—
361#401C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#399C2314yes—
397#399C2312yes—
398#399C2314yes—
399#399C2312yes—
400#399C2312yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2312yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2312yes—
421#398C2312yes—
422#398C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#396C2314yes—
439#396C2312yes—
440#396C2312yes—
441#396C2312yes—
442#396C2314yes—
443#396C2312yes—
444#396C2312yes—
445#396C2312yes—
446#396C2312yes—
447#395C2312yes—
448#395C2312yes—
449#395C2314yes—
450#395C2314yes—
451#395C2312yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#393C2312yes—
457#393C2312yes—
458#393C2314yes—
459#393C2314yes—
460#393C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2311yescharacteristic
465#391C2311yescharacteristic
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2314yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2314yes—
488#391C2312yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#390C2311yescharacteristic
498#390C2312yes—
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2312yes—
502#390C2311yescharacteristic
503#390C2314yes—
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2314yes—
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2312yes—
555#388C2312yes—
556#388C2314yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#387C2312yes—
596#387C2312yes—
597#387C2314yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
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#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#383C2314yes—
693#383C2312yes—
694#383C2314yes—
695#383C2314yes—
696#383C2314yes—
697#383C2314yes—
698#382C2311yescharacteristic
699#382C2311yescharacteristic
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2314yes—
706#382C2311yescharacteristic
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C43C2312yes—
809C43C2314yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C2×#41—28no—
814C2×#41—44no—
815C2×#41—44no—
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2414yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2414yes—
829C23×C4C2414yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2414yes—
833C4⋊Q8—24no—
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—42no—
837C4⋊Q8—42no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840#126—216no—
841#126—44no—
842#125—28no—
843#125—42no—
844#125—42no—
845#124—28no—
846#124—24no—
847#124—42no—
848#123—216no—
849C22⋊Q8—28no—
850C22⋊Q8—28no—
851C22⋊Q8—28no—
852C22⋊Q8—216no—
853C22⋊Q8—44no—
854C22⋊Q8—44no—
855C22⋊Q8—44no—
856#121—28no—
857C4×Q8—28no—
858C4×Q8—24no—
859C4×Q8—24no—
860C4×Q8—24no—
861C4×Q8—24no—
862C4×Q8—44no—
863C4×Q8—42no—
864C4×Q8—44no—
865C4×Q8—44no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—42no—
870C4×Q8—42no—
871C4×Q8—44no—
872C4×D4—28no—
873C4×D4—24no—
874C4×D4—44no—
875C4×D4—42no—
876C4×D4—42no—
877C4×D4#4118yes—
878#117—28no—
879#117—44no—
880#117—44no—
881#117—44no—
882#117—48no—
883#117—48no—
884#117—44no—
885C2×C4⋊C4—28no—
886C2×C4⋊C4—28no—
887C2×C4⋊C4—44no—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C42—28no—
1004C2×C42C2411yescharacteristic
1005C2×C42C2414yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2414yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2414yes—
1092#95C2414yes—
1093#95C2411yescharacteristic
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135C24C2512yes—
1136C24C2512yes—
1137#41—816no—
1138C2×Q8—22no—
1139C2×Q8—22no—
1140C2×Q8—24no—
1141C2×Q8—24no—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—41no—
1154C2×Q8—42no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×D4—28no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4C2×#4114yes—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—28no—
1171C22×C4—28no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—44no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4C2×#4118yes—
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2511yescharacteristic
1197C22×C4C2514yes—
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2514yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2514yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—24no—
1225C4⋊C4—28no—
1226C4⋊C4—28no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—44no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—41no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—41no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4C2×#4114yes—
1302C22⋊C4—28no—
1303C22⋊C4—28no—
1304C22⋊C4—28no—
1305C22⋊C4—24no—
1306C22⋊C4—28no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4C2×#4118yes—
1337C42—28no—
1338C42—24no—
1339C42—24no—
1340C42—24no—
1341C42—24no—
1342C42—24no—
1343C42—22no—
1344C42—24no—
1345C42—22no—
1346C42—28no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—24no—
1351C42—24no—
1352C42—24no—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—41no—
1361C42—42no—
1362C42—41no—
1363C42—41no—
1364C42—44no—
1365C42—44no—
1366C42—44no—
1367C42—44no—
1368C42—41no—
1369C42—41no—
1370C42—44no—
1371C42—44no—
1372C42—44no—
1373C42—44no—
1374C42—42no—
1375C42—42no—
1376C42C2×#4114yes—
1377C422−1+414yes—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23C22×#4114yes—
1392C23C2611yescharacteristic
1393Q8—44no—
1394Q8—48no—
1395Q8—48no—
1396Q8—44no—
1397Q8—44no—
1398Q8—84no—
1399Q8—84no—
1400D4—28no—
1401D4—44no—
1402D4—88no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—216no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—22no—
1419C2×C4—24no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—24no—
1436C2×C4—24no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—24no—
1471C2×C4—24no—
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—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—48no—
1493C2×C4—84no—
1494C2×C4—84no—
1495C2×C4—88no—
1496C2×C4—88no—
1497C2×C4—88no—
1498C2×C4C22×#4114yes—
1499C2×C4C22×#4112yes—
1500C2×C4C22×#4112yes—
1501C2×C4C22×#4112yes—
1502C2×C4C2×2−1+412yes—
1503C2×C4C2×2−1+412yes—
1504C2×C4C2×2−1+412yes—
1505C2×C4#58512yes—
1506C2×C4#58512yes—
1507C2×C4#58512yes—
1508C2×C4#58512yes—
1509C22—24no—
1510C22—24no—
1511C22—24no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22C23×#4111yescharacteristic
1524C22C22×2−1+411yescharacteristic
1525C22C2×#58511yescharacteristic
1526C22C2×#58511yescharacteristic
1527C22C2×#58511yescharacteristic
1528C22C2×#58511yescharacteristic
1529C222−1+611yescharacteristic
1530C4—22no—
1531C4—22no—
1532C4—22no—
1533C4—24no—
1534C4—22no—
1535C4—42no—
1536C4—42no—
1537C4—44no—
1538C4—42no—
1539C4—42no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—42no—
1545C4—44no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—42no—
1550C4—44no—
1551C4—44no—
1552C4—42no—
1553C4—41no—
1554C4—41no—
1555C4—42no—
1556C4—42no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—42no—
1561C4#351014yes—
1562C4#351514yes—
1563C2—44no—
1564C2—82no—
1565C2#6275211yescharacteristic
1566C2C2×#351511yescharacteristic
1567C2C2×#351011yescharacteristic
1568C2#6293911yescharacteristic
1569C2#6295911yescharacteristic
1570C2#6299511yescharacteristic
1571C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#547C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59642C2semidirect
2. #59482C2semidirect
3. #59443C2semidirect
4. #59436C2semidirect
5. #59333C2semidirect
6. #50432C2semidirect
7. #50428C2semidirect
8. #46182C2semidirect
9. #45366C2semidirect
10. #45254C2semidirect
11. #45192C2semidirect
12. #45145C2semidirect
13. #42959C2semidirect
14. #42938C2semidirect
15. #42772C2semidirect
16. #42770C2semidirect
17. #40251C2semidirect
18. #39769C2semidirect
19. #39731C2semidirect
20. #39490C2semidirect
22. #39203C2semidirect
23. #39068C2semidirect
24. #36598C2semidirect
25. #36420C2semidirect
26. #36408C2semidirect
27. #36286C2semidirect
29. #35339C2semidirect
30. #35204C2semidirect
31. #34941C2semidirect
32. #34902C2semidirect
33. #34484C2semidirect
35. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#596422
#594822
#594432
#594362
#593332
#504322
#504282
#461822
#453662
#452542
#451922
#451452
#429592
#429382
#427722
#427702
#402512
#397692
#397312
#394902
#394882
#392032
#390682
#365982
#364202
#364082
#362862
#361642
#353392
#352042
#349412
#349022
#344842
#344802
C4×#5562