Finite Group Databasebeta

← #7689493

Subgroups — #7689493

Order 512.

4840 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59574C212yesmaximal, complemented
2#59540C214yesmaximal, complemented
3#59443C211yesmaximal, characteristic, complemented
4#59289C212yesmaximal, complemented
5#59281C212yesmaximal, complemented
6#59237C212yesmaximal, complemented
7#59235C211yesmaximal, characteristic, complemented
8#59219C211yesmaximal, characteristic, complemented
9#45158C212yesmaximal, complemented
10#45003C212yesmaximal, complemented
11#43706C214yesmaximal, complemented
12#43061C214yesmaximal, complemented
13#39528C212yesmaximal, complemented
14#39497C211yesmaximal, characteristic, complemented
15#39004C212yesmaximal, complemented
16#38908C211yesmaximal, characteristic, complemented
17#38745C214yesmaximal, complemented
18#37986C212yesmaximal, complemented
19#36553C212yesmaximal, complemented
20#36450C211yesmaximal, characteristic, complemented
21#36404C211yesmaximal, characteristic, complemented
22#36278C212yesmaximal, complemented
23#36250C212yesmaximal, complemented
24#36194C211yesmaximal, characteristic, complemented
25#36194C211yesmaximal, characteristic, complemented
26#36177C211yesmaximal, characteristic, complemented
27#35804C212yesmaximal, complemented
28#35763C212yesmaximal, complemented
29#34917C212yesmaximal, complemented
30#34724C211yesmaximal, characteristic, complemented
31#34308C211yesmaximal, characteristic, complemented
32#34252C212yesmaximal, complemented
33#34243C211yesmaximal, characteristic, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#553C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#529C2211yescharacteristic
39C2×#520C2212yes—
40C2×C4×#41C2211yescharacteristic
41#2868C2211yescharacteristic
42#2863C2212yes—
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2212yes—
46#2855C2212yes—
47#2855C2212yes—
48#2855C2214yes—
49#2790C2214yes—
50#2779C2214yes—
51#2778C2214yes—
52#2776C2214yes—
53#2776C2214yes—
54#2772C2214yes—
55#2769C2214yes—
56#2766C2214yes—
57#2765C2214yes—
58#2765C2214yes—
59#2765C2214yes—
60#2760C2214yes—
61#2750C2214yes—
62#2749C2214yes—
63#2745C2214yes—
64#2744C2214yes—
65#2737C2214yes—
66#2729C2214yes—
67#2696C2214yes—
68#2695C2214yes—
69#2693C2214yes—
70#2653C2214yes—
71#2630C2214yes—
72#2629C2212yes—
73#2625C2212yes—
74#2609C2214yes—
75#2608C2214yes—
76#2606C2214yes—
77#2596C2214yes—
78#2590C2214yes—
79#2588C2214yes—
80#2587C2214yes—
81#2585C2214yes—
82#2579C2214yes—
83#2578C2214yes—
84#2577C2214yes—
85#2576C2214yes—
86#2574C2214yes—
87#2573C2214yes—
88#2572C2214yes—
89#2572C2214yes—
90#2571C2211yescharacteristic
91#2571C2212yes—
92#2571C2212yes—
93#2570C2212yes—
94#2569C2214yes—
95#2568C2211yescharacteristic
96#2568C2211yescharacteristic
97#2566C2212yes—
98#2565C2212yes—
99#2563C2212yes—
100#2563C2212yes—
101#2562C2212yes—
102#2552C2211yescharacteristic
103#2550C2212yes—
104#2538C2211yescharacteristic
105#2538C2211yescharacteristic
106#2538C2212yes—
107#2536C2212yes—
108#2535C2212yes—
109#2533C2214yes—
110#2533C2214yes—
111#2532C2214yes—
112#2530C2214yes—
113#2528C2214yes—
114#2528C2214yes—
115#2527C2214yes—
116#2526C2214yes—
117#2523C2214yes—
118#2518C2214yes—
119#2515C2214yes—
120#2514C2212yes—
121#2514C2212yes—
122#2514C2214yes—
123#2514C2212yes—
124#2514C2212yes—
125#2514C2212yes—
126#2511C2212yes—
127#2509C2212yes—
128#2508C2212yes—
129#2507C2212yes—
130#2507C2212yes—
131#2505C2214yes—
132#2503C2212yes—
133#2499C2212yes—
134#2498C2214yes—
135#2497C2212yes—
136#2497C2212yes—
137#2497C2214yes—
138#2497C2212yes—
139#2494C2212yes—
140#2494C2212yes—
141#2494C2212yes—
142#2493C2214yes—
143#2493C2214yes—
144#2492C2212yes—
145#2492C2212yes—
146#2492C2212yes—
147#2492C2212yes—
148#2489C2212yes—
149#2489C2212yes—
150#2486C2212yes—
151#2478C2212yes—
152#2478C2214yes—
153#2477C2214yes—
154#2476C2214yes—
155#2470C2214yes—
156#2470C2212yes—
157#2470C2214yes—
158#2466C2212yes—
159#2466C2214yes—
160#2457C2214yes—
161#2457C2214yes—
162#2456C2214yes—
163#2455C2212yes—
164#2453C2211yescharacteristic
165#2452C2212yes—
166#2450C2214yes—
167#2447C2211yescharacteristic
168#2446C2212yes—
169#2442C2212yes—
170#2441C2211yescharacteristic
171#2440C2212yes—
172#2439C2212yes—
173#2439C2214yes—
174#2439C2212yes—
175#2439C2212yes—
176#2432C2211yescharacteristic
177#2429C2211yescharacteristic
178#2427C2212yes—
179#2422C2212yes—
180#2422C2211yescharacteristic
181#2420C2212yes—
182#2420C2212yes—
183#2417C2212yes—
184#2417C2212yes—
185#2417C2212yes—
186#2415C2212yes—
187#2415C2211yescharacteristic
188#2413C2214yes—
189#2407C2212yes—
190#2407C2212yes—
191#2407C2211yescharacteristic
192#2407C2212yes—
193#2401C2214yes—
194#2395C2212yes—
195#2392C2214yes—
196#2392C2212yes—
197#2374C2212yes—
198#2373C2212yes—
199#2370C2211yescharacteristic
200#2370C2212yes—
201#2369C2212yes—
202#2369C2212yes—
203#2367C2212yes—
204#2365C2211yescharacteristic
205#2364C2212yes—
206#2363C2211yescharacteristic
207#2362C2212yes—
208#2361C2212yes—
209#2361C2211yescharacteristic
210#2360C2212yes—
211#2360C2212yes—
212#2360C2212yes—
213#2360C2212yes—
214#2359C2214yes—
215#2359C2214yes—
216#2357C2212yes—
217#2357C2211yescharacteristic
218#2356C2212yes—
219#2356C2212yes—
220#2356C2212yes—
221#2355C2211yescharacteristic
222#2355C2211yescharacteristic
223#2355C2211yescharacteristic
224#2355C2212yes—
225#2355C2212yes—
226#2354C2211yescharacteristic
227#2354C2212yes—
228#2354C2212yes—
229#2354C2212yes—
230#2353C2212yes—
231#2353C2214yes—
232#2352C2212yes—
233#2352C2212yes—
234#2352C2212yes—
235#2352C2211yescharacteristic
236#2352C2212yes—
237Q8×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2212yes—
242#2347C2212yes—
243#2347C2211yescharacteristic
244#2347C2214yes—
245#2346C2214yes—
246#2345C2214yes—
247#2345C2211yescharacteristic
248#2344C2212yes—
249#2344C2214yes—
250#2344C2212yes—
251#2343C2214yes—
252#2339C2212yes—
253#2339C2212yes—
254#2334C2214yes—
255#2323C2212yes—
256#2322C2214yes—
257#2318C2214yes—
258#2318C2214yes—
259#2317C2212yes—
260#2314C2212yes—
261#2311C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×#125C2211yescharacteristic
265C4×#125C2212yes—
266C4×#126C2212yes—
267C4×C22⋊Q8C2211yescharacteristic
268C4×C22⋊Q8C2211yescharacteristic
269C4×C22⋊Q8C2212yes—
270C4×#123C2214yes—
271C4×#123C2212yes—
272C4×#123C2212yes—
273C4×#121C2212yes—
274C4×#121C2211yescharacteristic
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278#2297C2212yes—
279#2296C2212yes—
280#2295C2212yes—
281#2293C2211yescharacteristic
282C2×#389C2212yes—
283#2290C2214yes—
284#2290C2214yes—
285#2290C2214yes—
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288#2285C2212yes—
289#2283C2212yes—
290#2283C2212yes—
291#2274C2212yes—
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301#553—28no—
302#547—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308#529—28no—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#125C2311yescharacteristic
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#124C2311yescharacteristic
315C2×#123C2314yes—
316C2×#123C2312yes—
317C2×#123C2312yes—
318C2×#123C2312yes—
319C2×#123C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2314yes—
329C2×#121C2311yescharacteristic
330C2×#121C2312yes—
331C2×#121C2311yescharacteristic
332C2×#121C2312yes—
333C2×#121C2311yescharacteristic
334#520—216no—
335C4×#41—28no—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2314yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2314yes—
372C2×#117C2314yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C22×C4⋊C4C2314yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C42C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2312yes—
386C22×C42C2312yes—
387C22×C42C2314yes—
388#401C2314yes—
389#401C2314yes—
390#401C2314yes—
391#401C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#399C2312yes—
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#398C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2312yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2314yes—
447#395C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2312yes—
451#394C2314yes—
452#394C2312yes—
453#394C2314yes—
454#394C2312yes—
455#394C2312yes—
456#394C2312yes—
457#394C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2312yes—
466#391C2312yes—
467#391C2311yescharacteristic
468#391C2311yescharacteristic
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2312yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2314yes—
487#391C2311yescharacteristic
488#390C2312yes—
489#390C2312yes—
490#390C2314yes—
491#390C2311yescharacteristic
492#390C2312yes—
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2312yes—
497#389C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2312yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#387C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2314yes—
579#387C2314yes—
580#387C2312yes—
581#387C2312yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#386C2314yes—
624#386C2314yes—
625#386C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2312yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2312yes—
648#385C2312yes—
649#385C2312yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#384C2311yescharacteristic
665#384C2311yescharacteristic
666#384C2312yes—
667#384C2312yes—
668#384C2312yes—
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2312yes—
672#384C2311yescharacteristic
673#383C2312yes—
674#383C2314yes—
675#383C2314yes—
676#383C2314yes—
677#383C2314yes—
678#383C2314yes—
679#383C2314yes—
680#382C2312yes—
681#382C2311yescharacteristic
682#382C2312yes—
683#382C2314yes—
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2314yes—
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
693#382C2314yes—
694#381C2312yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2314yes—
699#381C2312yes—
700#381C2314yes—
701#381C2314yes—
702#381C2314yes—
703#380C2311yescharacteristic
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2314yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2312yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C2×#41—24no—
816C2×#41—28no—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—42no—
820C2×#41—42no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2414yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2412yes—
851C4⋊Q8—24no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—42no—
855C4⋊Q8—82no—
856#126—28no—
857#126—28no—
858#125—24no—
859#125—24no—
860#125—44no—
861#124—24no—
862#123—28no—
863#123—28no—
864#123—216no—
865#123—28no—
866#123—84no—
867C22⋊Q8—28no—
868C22⋊Q8—24no—
869C22⋊Q8—42no—
870C22⋊Q8—44no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873C22⋊Q8—42no—
874C22⋊Q8—44no—
875C22⋊Q8—84no—
876#121—24no—
877#121—28no—
878#121—24no—
879#121—24no—
880#121—28no—
881C4×Q8—24no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—28no—
885C4×Q8—24no—
886C4×Q8—44no—
887C4×D4—24no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—216no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—216no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—42no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—42no—
905C4×D4—84no—
906C4×D4#4118yes—
907C4×D4#4118yescomplemented
908#117—28no—
909#117—24no—
910#117—24no—
911#117—28no—
912#117—216no—
913#117—28no—
914#117—42no—
915#117—44no—
916#117—82no—
917#117—84no—
918#117—84no—
919#117—82no—
920C2×C4⋊C4—216no—
921C2×C4⋊C4—28no—
922C2×C4⋊C4—28no—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—42no—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C42—28no—
1045C2×C42—24no—
1046C2×C42—24no—
1047C2×C42—44no—
1048C2×C42—44no—
1049C2×C42—84no—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2411yescharacteristic
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166C24C2511yescharacteristic
1167C24C2512yes—
1168C24C2512yes—
1169C24C2511yescharacteristic
1170#41—432no—
1171#41—416no—
1172C2×Q8—24no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—44no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×D4—28no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—28no—
1189C2×D4—22no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—41no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—44no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4C2×#4114yes—
1207C2×D4C2×#4114yes—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—28no—
1213C22×C4—22no—
1214C22×C4—28no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—28no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—28no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—41no—
1242C22×C4—42no—
1243C22×C4—41no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—42no—
1260C22×C4C2×#4118yes—
1261C22×C4C2×#4118yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—41no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4C2×#4114yes—
1361C4⋊C4C2×#4114yes—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—28no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—22no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—22no—
1379C22⋊C4—24no—
1380C22⋊C4—22no—
1381C22⋊C4—24no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4C2×#4118yes—
1408C22⋊C4C2×#4118yes—
1409C22⋊C42−1+414yes—
1410C42—22no—
1411C42—22no—
1412C42—24no—
1413C42—22no—
1414C42—22no—
1415C42—24no—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—28no—
1420C42—24no—
1421C42—28no—
1422C42—24no—
1423C42—24no—
1424C42—22no—
1425C42—24no—
1426C42—24no—
1427C42—22no—
1428C42—24no—
1429C42—24no—
1430C42—22no—
1431C42—22no—
1432C42—42no—
1433C42—42no—
1434C42—42no—
1435C42—42no—
1436C42—42no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—44no—
1441C42—42no—
1442C42—44no—
1443C42—44no—
1444C42—44no—
1445C42—41no—
1446C42C2×#4114yes—
1447C42C2×#4114yes—
1448C23—21no—
1449C23—22no—
1450C23—21no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—22no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23C22×#4114yes—
1474C23C22×#4114yes—
1475C23C2×2−1+412yes—
1476C23C2611yescharacteristic
1477Q8—48no—
1478Q8—44no—
1479Q8—44no—
1480Q8—164no—
1481D4—28no—
1482D4—28no—
1483D4—44no—
1484D4—48no—
1485D4—48no—
1486D4—416no—
1487D4—48no—
1488D4—84no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—216no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—48no—
1571C2×C4—44no—
1572C2×C4—48no—
1573C2×C4—44no—
1574C2×C4—416no—
1575C2×C4—48no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—48no—
1580C2×C4—44no—
1581C2×C4—88no—
1582C2×C4—84no—
1583C2×C4—84no—
1584C2×C4—88no—
1585C2×C4—84no—
1586C2×C4—88no—
1587C2×C4C22×#4112yes—
1588C2×C4C22×#4114yes—
1589C2×C4C22×#4112yes—
1590C2×C4C22×#4114yes—
1591C2×C4C22×#4112yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4112yes—
1594C2×C4C22×#4112yes—
1595C2×C4C2×2−1+412yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4#58512yes—
1598C2×C4#58512yes—
1599C2×C4#58512yes—
1600C22—24no—
1601C22—22no—
1602C22—24no—
1603C22—22no—
1604C22—24no—
1605C22—22no—
1606C22—24no—
1607C22—24no—
1608C22—24no—
1609C22—42no—
1610C22—41no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—41no—
1615C22—42no—
1616C22—42no—
1617C22—41no—
1618C22—42no—
1619C22—42no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22C23×#4111yescharacteristic
1629C22C23×#4111yescharacteristic
1630C22C22×2−1+411yescharacteristic
1631C22C2×#58511yescharacteristic
1632C22C2×#58511yescharacteristic
1633C22C2×#58511yescharacteristic
1634C22H(7,𝔽2)11yescharacteristic
1635C4—22no—
1636C4—24no—
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—24no—
1642C4—44no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4—41no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—41no—
1651C4—42no—
1652C4—41no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—41no—
1658C4—41no—
1659C4—44no—
1660C4—42no—
1661C4—44no—
1662C4—44no—
1663C4—41no—
1664C4#347514yes—
1665C4#349314yes—
1666C2—44no—
1667C2—42no—
1668C2—44no—
1669C2—81no—
1670C2C2×#347511yescharacteristic
1671C2C2×#349311yescharacteristic
1672C2#6280511yescharacteristic
1673C2#6296911yescharacteristic
1674C2#6299211yescharacteristic
1675C2#6300011yescharacteristic
1676C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59574C2semidirect
2. #59540C2semidirect
3. #59443C2semidirect
4. #59289C2semidirect
5. #59281C2semidirect
6. #59237C2semidirect
7. #59235C2semidirect
8. #59219C2semidirect
9. #45158C2semidirect
10. #45003C2semidirect
11. #43706C2semidirect
12. #43061C2semidirect
13. #39528C2semidirect
14. #39497C2semidirect
15. #39004C2semidirect
16. #38908C2semidirect
17. #38745C2semidirect
18. #37986C2semidirect
19. #36553C2semidirect
20. #36450C2semidirect
21. #36404C2semidirect
22. #36278C2semidirect
23. #36250C2semidirect
24. #36194C2semidirect
25. #36194C2semidirect
26. #36177C2semidirect
27. #35804C2semidirect
28. #35763C2semidirect
29. #34917C2semidirect
30. #34724C2semidirect
31. #34308C2semidirect
32. #34252C2semidirect
33. #34243C2semidirect
34. C4×#553C2semidirect
35. #34127C2semidirect
907. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#595742
#595402
#594432
#592892
#592812
#592372
#592352
#592192
#451582
#450032
#437062
#430612
#395282
#394972
#390042
#389082
#387452
#379862
#365532
#364502
#364042
#362782
#362502
#361942
#361772
#358042
#357632
#349172
#347242
#343082
#342522
#342432
C4×#5532
#341272