Finite Group Databasebeta

← #7664995

Subgroups — #7664995

Order 512.

4558 conjugacy classes of subgroups.

The subgroup lattice has 1595 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#40220C212yesmaximal, complemented
2#40219C212yesmaximal, complemented
3#40106C212yesmaximal, complemented
4#40096C212yesmaximal, complemented
5#39724C211yesmaximal, characteristic, complemented
6#39598C211yesmaximal, characteristic
7#39180C211yesmaximal, characteristic, complemented
8#39173C211yesmaximal, characteristic, complemented
9#38898C214yesmaximal, complemented
10#38869C214yesmaximal, complemented
11#38808C214yesmaximal, complemented
12#38805C214yesmaximal, complemented
13#38243C212yesmaximal, complemented
14#38224C212yesmaximal, complemented
15#37982C212yesmaximal, complemented
16#37796C212yesmaximal
17#36425C212yesmaximal, complemented
18#36408C212yesmaximal, complemented
19#36299C212yesmaximal, complemented
20#36299C211yesmaximal, characteristic, complemented
21#36286C211yesmaximal, characteristic, complemented
22#36256C212yesmaximal, complemented
23#36193C211yesmaximal, characteristic, complemented
24#36116C211yesmaximal, characteristic
25#35321C212yesmaximal, complemented
26#35291C211yesmaximal, characteristic, complemented
27#35221C212yesmaximal, complemented
28#35208C211yesmaximal, characteristic, complemented
29#35206C211yesmaximal, characteristic, complemented
30#35206C212yesmaximal, complemented
31C4×#557C211yesmaximal, characteristic, complemented
32C4×#554C211yesmaximal, characteristic, complemented
33#34145C211yesmaximal, characteristic, complemented
34C4×#542C211yesmaximal, characteristic
35#34084C212yesmaximal
36C2×#557C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#542C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#529C2212yes—
41#2864C2214yes—
42#2863C2212yes—
43#2863C2212yes—
44#2863C2212yes—
45#2863C2214yes—
46#2862C2211yescharacteristic
47#2859C2211yescharacteristic
48#2859C2212yes—
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2855C2212yes—
52#2855C2212yes—
53#2855C2214yes—
54#2855C2212yes—
55#2851C2212yes—
56#2851C2214yes—
57#2810C2214yes—
58#2776C2214yes—
59#2767C2214yes—
60#2767C2214yes—
61#2765C2214yes—
62#2758C2214yes—
63#2755C2214yes—
64#2747C2214yes—
65#2744C2214yes—
66#2744C2214yes—
67#2739C2214yes—
68#2726C2214yes—
69#2724C2214yes—
70#2722C2214yes—
71#2719C2214yes—
72#2719C2214yes—
73#2717C2214yes—
74#2704C2214yes—
75#2690C2214yes—
76#2690C2214yes—
77#2690C2214yes—
78#2690C2214yes—
79#2689C2214yes—
80#2683C2214yes—
81#2666C2214yes—
82#2666C2214yes—
83#2666C2214yes—
84#2652C2214yes—
85#2652C2214yes—
86#2652C2214yes—
87#2647C2212yes—
88#2645C2212yes—
89#2642C2212yes—
90#2629C2212yes—
91#2625C2212yes—
92#2621C2212yes—
93#2605C2214yes—
94#2590C2214yes—
95#2590C2214yes—
96#2588C2214yes—
97#2588C2214yes—
98#2588C2214yes—
99#2586C2214yes—
100#2585C2214yes—
101#2585C2214yes—
102#2585C2214yes—
103#2585C2214yes—
104#2584C2212yes—
105#2584C2212yes—
106#2582C2212yes—
107#2582C2211yescharacteristic
108#2581C2212yes—
109#2581C2212yes—
110#2573C2214yes—
111#2573C2214yes—
112#2573C2214yes—
113#2570C2212yes—
114#2568C2212yes—
115#2568C2211yescharacteristic
116#2567C2211yescharacteristic
117#2567C2211yescharacteristic
118#2565C2212yes—
119#2552C2211yescharacteristic
120#2552C2212yes—
121#2552C2211yescharacteristic
122#2550C2212yes—
123#2550C2212yes—
124#2547C2211yescharacteristic
125#2547C2212yes—
126#2538C2212yes—
127#2538C2212yes—
128#2538C2211yescharacteristic
129#2533C2214yes—
130#2528C2214yes—
131#2524C2214yes—
132#2524C2214yes—
133#2520C2214yes—
134#2515C2214yes—
135#2515C2214yes—
136#2515C2214yes—
137#2515C2214yes—
138#2515C2214yes—
139#2515C2214yes—
140#2514C2212yes—
141#2511C2212yes—
142#2511C2212yes—
143#2511C2212yes—
144#2511C2212yes—
145#2509C2212yes—
146#2509C2212yes—
147#2509C2214yes—
148#2508C2212yes—
149#2508C2212yes—
150#2507C2212yes—
151#2507C2212yes—
152#2506C2212yes—
153#2506C2212yes—
154#2496C2212yes—
155#2495C2212yes—
156#2495C2214yes—
157#2495C2212yes—
158#2495C2212yes—
159#2494C2212yes—
160#2493C2214yes—
161#2489C2212yes—
162#2489C2212yes—
163#2489C2214yes—
164#2489C2212yes—
165#2486C2212yes—
166#2478C2214yes—
167#2478C2214yes—
168#2475C2214yes—
169#2475C2214yes—
170#2475C2214yes—
171#2475C2214yes—
172#2462C2214yes—
173#2453C2212yes—
174#2453C2212yes—
175#2453C2212yes—
176#2453C2212yes—
177#2451C2212yes—
178#2447C2212yes—
179#2447C2212yes—
180#2447C2212yes—
181#2447C2214yes—
182#2446C2212yes—
183#2442C2212yes—
184#2442C2212yes—
185#2442C2212yes—
186#2440C2212yes—
187#2438C2214yes—
188#2438C2214yes—
189#2438C2214yes—
190#2429C2212yes—
191#2421C2212yes—
192#2421C2212yes—
193#2421C2212yes—
194#2421C2212yes—
195#2421C2212yes—
196#2419C2214yes—
197#2419C2214yes—
198#2417C2212yes—
199#2370C2212yes—
200#2370C2212yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2212yes—
204#2370C2214yes—
205#2369C2211yescharacteristic
206#2369C2211yescharacteristic
207#2369C2211yescharacteristic
208#2368C2212yes—
209#2368C2212yes—
210#2368C2214yes—
211#2365C2211yescharacteristic
212#2365C2211yescharacteristic
213#2365C2211yescharacteristic
214#2365C2212yes—
215#2360C2211yescharacteristic
216#2360C2212yes—
217#2360C2212yes—
218#2360C2211yescharacteristic
219#2360C2211yescharacteristic
220#2360C2211yescharacteristic
221#2356C2212yes—
222#2355C2211yescharacteristic
223#2355C2212yes—
224#2355C2212yes—
225#2355C2211yescharacteristic
226#2351C2212yes—
227Q8×C4⋊C4C2211yescharacteristic
228#2349C2212yes—
229D4×C4⋊C4C2211yescharacteristic
230D4×C4⋊C4C2212yes—
231#2345C2212yes—
232#2344C2212yes—
233#2344C2212yes—
234#2344C2212yes—
235#2337C2212yes—
236#2335C2214yes—
237#2335C2214yes—
238#2335C2212yes—
239#2334C2214yes—
240#2334C2214yes—
241#2334C2212yes—
242#2332C2212yes—
243#2331C2211yescharacteristic
244#2330C2212yes—
245#2330C2212yes—
246#2326C2212yes—
247#2326C2212yes—
248#2326C2211yescharacteristic
249#2324C2211yescharacteristic
250#2324C2212yes—
251#2323C2212yes—
252#2323C2212yes—
253#2323C2211yescharacteristic
254#2320C2211yescharacteristic
255#2320C2212yes—
256#2320C2212yes—
257#2320C2212yes—
258#2319C2211yescharacteristic
259#2314C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×#125C2212yes—
265C4×#125C2214yes—
266C4×#125C2212yes—
267C4×#126C2212yes—
268C4×#124C2211yescharacteristic
269C4×#124C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2214yes—
274C4×#123C2212yes—
275C4×#121C2211yescharacteristic
276#2298C2214yes—
277#2296C2214yes—
278#2296C2212yes—
279#2295C2211yescharacteristic
280#2295C2212yes—
281#2295C2212yes—
282#2295C2211yescharacteristic
283#2295C2212yes—
284#2293C2212yes—
285#2293C2214yes—
286#2290C2214yes—
287#2285C2212yes—
288C42×Q8C2212yes—
289C42×Q8C2211yescharacteristic
290C42×Q8C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299#557—28no—
300#554—28no—
301#542—28no—
302#533—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309#529—216no—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2312yes—
324C2×#123C2314yes—
325C2×#123C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×#121C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2314yes—
366C2×#117C2314yes—
367C2×#117C2314yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C42C2312yes—
373C22×C42C2311yescharacteristic
374C22×C42C2312yes—
375C22×C42C2314yes—
376#401C2314yes—
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#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2311yescharacteristic
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2314yes—
464#391C2311yescharacteristic
465#391C2312yes—
466#391C2311yescharacteristic
467#391C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#390C2312yes—
487#390C2312yes—
488#390C2314yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2314yes—
494#389C2314yes—
495#389C2314yes—
496#389C2314yes—
497#389C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2312yes—
521#389C2314yes—
522#389C2312yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2314yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2314yes—
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2312yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
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#387C2312yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#386C2312yes—
649#386C2314yes—
650#386C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2314yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#383C2312yes—
681#383C2314yes—
682#383C2314yes—
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#382C2312yes—
687#382C2312yes—
688#382C2314yes—
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2314yes—
692#382C2312yes—
693#382C2312yes—
694#382C2314yes—
695#382C2314yes—
696#382C2314yes—
697#382C2312yes—
698#382C2314yes—
699#382C2312yes—
700#381C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2312yes—
704#381C2314yes—
705#381C2314yes—
706#380C2311yescharacteristic
707#380C2311yescharacteristic
708#380C2312yes—
709#380C2312yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2312yes—
721#380C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802#376C2311yescharacteristic
803#376C2312yes—
804#376C2311yescharacteristic
805#376C2312yes—
806#376C2314yes—
807C2×#95C2314yes—
808C2×#95C2312yes—
809C43C2312yes—
810C43C2312yes—
811C43C2314yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2414yes—
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837C4⋊Q8—24no—
838C4⋊Q8—24no—
839C4⋊Q8—28no—
840#126—216no—
841#126—28no—
842#125—28no—
843#125—28no—
844#125—28no—
845#125—216no—
846#125—28no—
847#125—44no—
848#125—84no—
849#125—84no—
850#125—82no—
851#124—28no—
852#124—24no—
853#124—28no—
854#123—216no—
855#123—28no—
856C22⋊Q8—24no—
857C22⋊Q8—28no—
858C22⋊Q8—28no—
859C22⋊Q8—24no—
860C22⋊Q8—24no—
861C22⋊Q8—28no—
862C22⋊Q8—216no—
863C22⋊Q8—28no—
864C22⋊Q8—44no—
865C22⋊Q8—82no—
866C22⋊Q8—84no—
867#121#4118yes—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—24no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—28no—
877C4×Q8—28no—
878C4×Q8—24no—
879C4×Q8—44no—
880C4×Q8—42no—
881C4×Q8—44no—
882C4×Q8—42no—
883C4×Q8—82no—
884C4×Q8#4118yes—
885C4×D4—28no—
886C4×D4—216no—
887C4×D4—24no—
888C4×D4—24no—
889C4×D4—28no—
890C4×D4—24no—
891C4×D4—44no—
892#117—24no—
893#117—216no—
894#117—28no—
895#117—24no—
896#117—84no—
897#117—84no—
898C2×C4⋊C4—28no—
899C2×C4⋊C4—28no—
900C2×C4⋊C4—24no—
901C2×C4⋊C4—42no—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C42—28no—
1012C2×C42—24no—
1013C2×C42—44no—
1014C2×C42—84no—
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2414yes—
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2412yes—
1075#95C2412yes—
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2411yescharacteristic
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150C24C2511yescharacteristic
1151C24C2512yes—
1152C2×Q8—24no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—24no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—24no—
1163C2×Q8—22no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×Q8C2×#4114yes—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4C2×#4114yes—
1178C2×D4C2×#4118yes—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—24no—
1182C22×C4—28no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—28no—
1189C22×C4—22no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—28no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—44no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—44no—
1202C22×C4—42no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—44no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4C2×#4114yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2514yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—28no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—28no—
1263C4⋊C4—24no—
1264C4⋊C4—28no—
1265C4⋊C4—28no—
1266C4⋊C4—24no—
1267C4⋊C4—28no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4C2×#4114yes—
1321C4⋊C4C2×#4114yes—
1322C4⋊C4C2×#4118yes—
1323C4⋊C42−1+414yes—
1324C22⋊C4—22no—
1325C22⋊C4—28no—
1326C22⋊C4—22no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—28no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—24no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4C2×#4118yes—
1351C42—24no—
1352C42—24no—
1353C42—22no—
1354C42—24no—
1355C42—22no—
1356C42—24no—
1357C42—22no—
1358C42—28no—
1359C42—22no—
1360C42—24no—
1361C42—22no—
1362C42—28no—
1363C42—24no—
1364C42—24no—
1365C42—22no—
1366C42—24no—
1367C42—22no—
1368C42—22no—
1369C42—24no—
1370C42—24no—
1371C42—28no—
1372C42—22no—
1373C42—24no—
1374C42—24no—
1375C42—22no—
1376C42—42no—
1377C42—42no—
1378C42—42no—
1379C42—44no—
1380C42—44no—
1381C42—44no—
1382C42—41no—
1383C42—42no—
1384C42—42no—
1385C42—41no—
1386C42—42no—
1387C42—44no—
1388C42—42no—
1389C42—42no—
1390C42—44no—
1391C42—42no—
1392C42—41no—
1393C42—41no—
1394C42—42no—
1395C42C2×#4114yes—
1396C42C2×#4118yes—
1397C422−1+414yes—
1398C23—21no—
1399C23—22no—
1400C23—21no—
1401C23—22no—
1402C23—21no—
1403C23—22no—
1404C23—22no—
1405C23—21no—
1406C23—21no—
1407C23—22no—
1408C23—22no—
1409C23—21no—
1410C23C22×#4114yes—
1411C23C22×#4112yes—
1412C23C2611yescharacteristic
1413Q8—28no—
1414Q8—44no—
1415Q8—48no—
1416Q8—44no—
1417Q8—84no—
1418Q8—84no—
1419Q8—84no—
1420D4—28no—
1421D4—48no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—28no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—21no—
1508C2×C4—48no—
1509C2×C4—416no—
1510C2×C4—48no—
1511C2×C4—44no—
1512C2×C4—48no—
1513C2×C4—88no—
1514C2×C4—82no—
1515C2×C4—84no—
1516C2×C4—84no—
1517C2×C4C22×#4112yes—
1518C2×C4C22×#4114yes—
1519C2×C4C22×#4114yes—
1520C2×C4C22×#4112yes—
1521C2×C4C22×#4114yes—
1522C2×C4C22×#4112yes—
1523C2×C4C22×#4112yes—
1524C2×C4C22×#4112yes—
1525C2×C4C2×2−1+412yes—
1526C2×C4C2×2−1+414yes—
1527C2×C4C2×2−1+412yes—
1528C2×C4C2×2−1+412yes—
1529C2×C4C2×2−1+412yes—
1530C2×C4#58512yes—
1531C22—22no—
1532C22—24no—
1533C22—22no—
1534C22—24no—
1535C22—22no—
1536C22—24no—
1537C22—42no—
1538C22—41no—
1539C22—42no—
1540C22—41no—
1541C22—41no—
1542C22—42no—
1543C22—41no—
1544C22—42no—
1545C22C23×#4111yescharacteristic
1546C22C23×#4111yescharacteristic
1547C22C22×2−1+411yescharacteristic
1548C22C22×2−1+411yescharacteristic
1549C22C2×#58511yescharacteristic
1550C22H(7,𝔽2)11yescharacteristic
1551C222−1+611yescharacteristic
1552C4—24no—
1553C4—24no—
1554C4—24no—
1555C4—22no—
1556C4—22no—
1557C4—24no—
1558C4—22no—
1559C4—22no—
1560C4—42no—
1561C4—42no—
1562C4—41no—
1563C4—42no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—42no—
1568C4—44no—
1569C4—42no—
1570C4—44no—
1571C4—41no—
1572C4—42no—
1573C4—41no—
1574C4—42no—
1575C4—44no—
1576C4—42no—
1577C4—41no—
1578C4—42no—
1579C4—42no—
1580C4—41no—
1581C4—44no—
1582C4—42no—
1583C4#346114yes—
1584C4#348214yes—
1585C2—42no—
1586C2—44no—
1587C2C2×#346111yescharacteristic
1588C2C2×#348211yescharacteristic
1589C2#6285711yescharacteristic
1590C2#6292611yescharacteristic
1591C2#6294711yescharacteristic
1592C2#6299111yescharacteristic
1593C2#6300011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #40220C2semidirect
2. #40219C2semidirect
3. #40106C2semidirect
4. #40096C2semidirect
5. #39724C2semidirect
7. #39180C2semidirect
8. #39173C2semidirect
9. #38898C2semidirect
10. #38869C2semidirect
11. #38808C2semidirect
12. #38805C2semidirect
13. #38243C2semidirect
14. #38224C2semidirect
15. #37982C2semidirect
17. #36425C2semidirect
18. #36408C2semidirect
19. #36299C2semidirect
20. #36299C2semidirect
21. #36286C2semidirect
22. #36256C2semidirect
23. #36193C2semidirect
25. #35321C2semidirect
26. #35291C2semidirect
27. #35221C2semidirect
28. #35208C2semidirect
29. #35206C2semidirect
30. #35206C2semidirect
31. C4×#557C2semidirect
32. C4×#554C2semidirect
33. #34145C2semidirect

Maximal subgroups

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

subgroupindex
#402202
#402192
#401062
#400962
#397242
#395982
#391802
#391732
#388982
#388692
#388082
#388052
#382432
#382242
#379822
#377962
#364252
#364082
#362992
#362862
#362562
#361932
#361162
#353212
#352912
#352212
#352082
#352062
C4×#5572
C4×#5542
#341452
C4×#5422
#340842