Finite Group Databasebeta

← #7689514

Subgroups — #7689514

Order 512.

5218 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59765C212yesmaximal, complemented
2#59545C212yesmaximal, complemented
3#59497C212yesmaximal, complemented
4#59457C211yesmaximal, characteristic, complemented
5#59403C212yesmaximal, complemented
6#59092C214yesmaximal, complemented
7#59039C211yesmaximal, characteristic, complemented
8#59039C211yesmaximal, characteristic, complemented
9#45406C212yesmaximal, complemented
10#45035C212yesmaximal, complemented
11#44141C214yesmaximal, complemented
12#43672C214yesmaximal, complemented
13#39533C212yesmaximal, complemented
14#39514C211yesmaximal, characteristic, complemented
15#39021C212yesmaximal, complemented
16#38931C211yesmaximal, characteristic, complemented
17#38734C214yesmaximal, complemented
18#38274C212yesmaximal, complemented
19#36563C211yesmaximal, characteristic, complemented
20#36551C211yesmaximal, characteristic, complemented
21#36372C212yesmaximal, complemented
22#36301C211yesmaximal, characteristic, complemented
23#36287C211yesmaximal, characteristic, complemented
24#36239C212yesmaximal, complemented
25#36127C211yesmaximal, characteristic, complemented
26#36114C212yesmaximal, complemented
27#35947C212yesmaximal, complemented
28#35772C212yesmaximal, complemented
29#34914C212yesmaximal, complemented
30#34800C211yesmaximal, characteristic, complemented
31#34313C211yesmaximal, characteristic, complemented
32#34260C212yesmaximal, complemented
33#34236C211yesmaximal, characteristic, complemented
34C4×#552C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#552C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#547C2212yes—
39C2×#532C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×#529C2214yes—
42C2×#520C2212yes—
43#2868C2211yescharacteristic
44#2864C2212yes—
45#2859C2212yes—
46#2859C2212yes—
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2851C2214yes—
50#2851C2212yes—
51#2796C2214yes—
52#2787C2214yes—
53#2781C2214yes—
54#2780C2214yes—
55#2779C2214yes—
56#2765C2214yes—
57#2761C2214yes—
58#2758C2214yes—
59#2756C2214yes—
60#2746C2214yes—
61#2741C2214yes—
62#2740C2214yes—
63#2716C2214yes—
64#2716C2214yes—
65#2711C2214yes—
66#2707C2214yes—
67#2705C2214yes—
68#2698C2214yes—
69#2691C2214yes—
70#2686C2214yes—
71#2686C2214yes—
72#2649C2214yes—
73#2647C2212yes—
74#2636C2214yes—
75#2629C2212yes—
76#2612C2214yes—
77#2609C2214yes—
78#2603C2214yes—
79#2601C2214yes—
80#2589C2214yes—
81#2582C2212yes—
82#2580C2212yes—
83#2573C2214yes—
84#2571C2211yescharacteristic
85#2570C2212yes—
86#2570C2212yes—
87#2570C2212yes—
88#2569C2214yes—
89#2569C2214yes—
90#2567C2211yescharacteristic
91#2567C2211yescharacteristic
92#2566C2212yes—
93#2566C2212yes—
94#2563C2211yescharacteristic
95#2563C2211yescharacteristic
96#2560C2214yes—
97#2559C2214yes—
98#2559C2214yes—
99#2558C2214yes—
100#2557C2214yes—
101#2556C2214yes—
102#2553C2214yes—
103#2552C2211yescharacteristic
104#2552C2212yes—
105#2550C2214yes—
106#2547C2212yes—
107#2543C2214yes—
108#2538C2212yes—
109#2537C2212yes—
110#2537C2212yes—
111#2537C2212yes—
112#2537C2212yes—
113#2532C2212yes—
114#2530C2214yes—
115#2527C2214yes—
116#2527C2214yes—
117#2526C2212yes—
118#2518C2212yes—
119#2513C2211yescharacteristic
120#2512C2212yes—
121#2512C2212yes—
122#2509C2212yes—
123#2508C2212yes—
124#2508C2211yescharacteristic
125#2507C2212yes—
126#2507C2212yes—
127#2506C2212yes—
128#2505C2214yes—
129#2505C2214yes—
130#2500C2211yescharacteristic
131#2497C2211yescharacteristic
132#2497C2212yes—
133#2497C2212yes—
134#2496C2212yes—
135#2496C2212yes—
136#2496C2212yes—
137#2496C2212yes—
138#2495C2212yes—
139#2494C2212yes—
140#2494C2212yes—
141#2491C2211yescharacteristic
142#2488C2214yes—
143#2487C2212yes—
144#2485C2212yes—
145#2485C2211yescharacteristic
146#2479C2214yes—
147#2477C2214yes—
148#2475C2214yes—
149#2473C2214yes—
150#2473C2214yes—
151#2470C2214yes—
152#2470C2214yes—
153#2466C2214yes—
154#2466C2214yes—
155#2460C2214yes—
156#2460C2214yes—
157#2459C2212yes—
158#2458C2214yes—
159#2456C2214yes—
160#2454C2212yes—
161#2454C2212yes—
162#2452C2212yes—
163#2451C2214yes—
164#2450C2214yes—
165#2450C2214yes—
166#2445C2212yes—
167#2445C2212yes—
168#2443C2214yes—
169#2441C2212yes—
170#2439C2211yescharacteristic
171#2432C2212yes—
172#2432C2212yes—
173#2430C2214yes—
174#2430C2214yes—
175#2428C2212yes—
176#2428C2212yes—
177#2425C2214yes—
178#2423C2212yes—
179#2422C2212yes—
180#2422C2212yes—
181#2422C2212yes—
182#2422C2212yes—
183#2422C2212yes—
184#2422C2212yes—
185#2421C2214yes—
186#2421C2212yes—
187#2420C2214yes—
188#2420C2212yes—
189#2420C2212yes—
190#2420C2212yes—
191#2414C2211yescharacteristic
192#2413C2214yes—
193#2407C2212yes—
194#2407C2212yes—
195#2398C2212yes—
196#2398C2214yes—
197#2392C2214yes—
198#2392C2212yes—
199#2373C2212yes—
200#2372C2214yes—
201#2371C2212yes—
202#2370C2212yes—
203#2370C2211yescharacteristic
204#2369C2211yescharacteristic
205#2369C2211yescharacteristic
206#2369C2211yescharacteristic
207#2369C2211yescharacteristic
208#2366C2212yes—
209#2366C2211yescharacteristic
210#2366C2211yescharacteristic
211#2366C2211yescharacteristic
212#2363C2212yes—
213#2363C2212yes—
214#2363C2212yes—
215#2363C2212yes—
216#2362C2211yescharacteristic
217#2361C2212yes—
218#2361C2214yes—
219#2361C2212yes—
220#2361C2212yes—
221#2360C2211yescharacteristic
222#2359C2214yes—
223#2359C2212yes—
224#2357C2212yes—
225#2356C2211yescharacteristic
226#2355C2212yes—
227#2353C2214yes—
228#2352C2212yes—
229#2352C2211yescharacteristic
230#2352C2214yes—
231Q8×C4⋊C4C2211yescharacteristic
232Q8×C4⋊C4C2212yes—
233#2349C2212yes—
234#2349C2212yes—
235#2349C2212yes—
236#2349C2212yes—
237#2349C2212yes—
238D4×C4⋊C4C2212yes—
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2212yes—
241D4×C4⋊C4C2212yes—
242D4×C4⋊C4C2212yes—
243#2346C2212yes—
244#2346C2211yescharacteristic
245#2345C2212yes—
246#2344C2211yescharacteristic
247#2344C2212yes—
248#2343C2214yes—
249#2343C2214yes—
250#2343C2212yes—
251#2341C2212yes—
252#2339C2212yes—
253#2339C2214yes—
254#2339C2212yes—
255#2337C2214yes—
256#2324C2214yes—
257#2324C2212yes—
258#2320C2212yes—
259#2319C2212yes—
260#2318C2214yes—
261#2314C2212yes—
262#2313C2214yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2212yes—
265C4×#127C2211yescharacteristic
266C4×#127C2212yes—
267C4×#125C2211yescharacteristic
268C4×#125C2212yes—
269C4×#126C2212yes—
270C4×#124C2212yes—
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic
273C4×#123C2212yes—
274C4×#121C2212yes—
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279#2298C2212yes—
280#2297C2214yes—
281#2295C2212yes—
282#2293C2212yes—
283#2293C2211yescharacteristic
284#2293C2212yes—
285#2293C2212yes—
286#2293C2212yes—
287#2290C2214yes—
288C2×#387C2214yes—
289#2283C2211yescharacteristic
290#2275C2212yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302#552—28no—
303#550—28no—
304#547—48no—
305#532—28no—
306#532—28no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2312yes—
313C2×#127C2311yescharacteristic
314#529—416no—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#123C2314yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348#520—216no—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2314yes—
382C2×#117C2312yes—
383C2×#117C2314yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2314yes—
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2314yes—
392C22×C4⋊C4C2314yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2314yes—
396C22×C4⋊C4C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2314yes—
400C22×C42C2312yes—
401#401C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2312yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#395C2314yes—
452#395C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2312yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#393C2312yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2312yes—
476#392C2314yes—
477#392C2314yes—
478#392C2312yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2314yes—
491#391C2312yes—
492#390C2314yes—
493#390C2312yes—
494#390C2311yescharacteristic
495#390C2312yes—
496#390C2314yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2314yes—
556#389C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#383C2312yes—
688#383C2314yes—
689#383C2312yes—
690#382C2311yescharacteristic
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2314yes—
698#382C2314yes—
699#382C2312yes—
700#382C2314yes—
701#382C2311yescharacteristic
702#381C2314yes—
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#381C2312yes—
707#381C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2314yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C22⋊C4C2311yescharacteristic
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C43C2312yes—
817C2×#41—28no—
818C2×#41—28no—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—82no—
825C2×#41—82no—
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860C4⋊Q8—24no—
861C4⋊Q8—44no—
862C4⋊Q8—82no—
863#127—28no—
864#127#4118yes—
865#126—28no—
866#126—48no—
867#126—48no—
868#126—84no—
869#125—28no—
870#125—24no—
871#125—44no—
872#125—48no—
873#125—84no—
874#124—28no—
875#124—28no—
876#124—28no—
877#123—28no—
878#123—216no—
879#123—48no—
880#123—48no—
881#123—84no—
882C22⋊Q8—24no—
883C22⋊Q8—24no—
884C22⋊Q8—44no—
885C22⋊Q8—48no—
886C22⋊Q8—44no—
887#121—28no—
888#121—28no—
889#121—28no—
890#121—28no—
891#121—28no—
892#121—216no—
893#121—24no—
894#121—48no—
895#121—48no—
896#121—42no—
897#121—84no—
898C4×Q8—28no—
899C4×Q8—24no—
900C4×Q8—44no—
901C4×Q8—42no—
902C4×Q8—48no—
903C4×Q8#4118yescomplemented
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—216no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—216no—
914C4×D4—28no—
915C4×D4—24no—
916C4×D4—24no—
917C4×D4—48no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—48no—
929C4×D4—48no—
930C4×D4—84no—
931#117—24no—
932#117—24no—
933#117—28no—
934#117—216no—
935#117—28no—
936#117—28no—
937#117—48no—
938#117—42no—
939#117—42no—
940#117—84no—
941C2×C4⋊C4—28no—
942C2×C4⋊C4—216no—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—42no—
945C2×C4⋊C4—48no—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C42—24no—
1067C2×C42—24no—
1068C2×C42—48no—
1069C2×C42—44no—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2414yes—
1152#95C2411yescharacteristic
1153#95C2414yes—
1154#95C2414yes—
1155#95C2411yescharacteristic
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181C24C2511yescharacteristic
1182C24C2512yes—
1183C24C2514yes—
1184C24C2511yescharacteristic
1185#41—432no—
1186#41—816no—
1187#41—816no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8C2×#4114yes—
1200C2×D4—28no—
1201C2×D4—28no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—28no—
1205C2×D4—28no—
1206C2×D4—28no—
1207C2×D4—24no—
1208C2×D4—28no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—42no—
1218C2×D4—41no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4C2×#4118yes—
1231C2×D4C2×#4118yes—
1232C2×D4C2×#4118yes—
1233C22×C4—28no—
1234C22×C4—28no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—28no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—28no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—28no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—28no—
1260C22×C4—28no—
1261C22×C4—28no—
1262C22×C4—28no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2514yes—
1300C22×C4C2514yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—28no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—28no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—41no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4C2×#4114yes—
1380C4⋊C4C2×#4118yes—
1381C4⋊C42−1+414yes—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—22no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—22no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—22no—
1402C22⋊C4—28no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—24no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4H(5,𝔽2)14yes—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—24no—
1442C42—28no—
1443C42—24no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—24no—
1448C42—22no—
1449C42—24no—
1450C42—24no—
1451C42—22no—
1452C42—24no—
1453C42—24no—
1454C42—22no—
1455C42—24no—
1456C42—24no—
1457C42—22no—
1458C42—42no—
1459C42—42no—
1460C42—44no—
1461C42—44no—
1462C42—42no—
1463C42—42no—
1464C42—44no—
1465C42—42no—
1466C42—42no—
1467C42—44no—
1468C42—42no—
1469C42—42no—
1470C42—41no—
1471C42C2×#4114yes—
1472C42C2×#4118yes—
1473C42C2×#4114yes—
1474C23—21no—
1475C23—24no—
1476C23—21no—
1477C23—24no—
1478C23—24no—
1479C23—21no—
1480C23—24no—
1481C23—21no—
1482C23—24no—
1483C23—21no—
1484C23—24no—
1485C23—21no—
1486C23—21no—
1487C23—22no—
1488C23—22no—
1489C23—21no—
1490C23—22no—
1491C23—21no—
1492C23—21no—
1493C23—22no—
1494C23—21no—
1495C23—21no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—21no—
1500C23C22×#4118yes—
1501C23C2×H(5,𝔽2)12yes—
1502C23C2611yescharacteristic
1503Q8—28no—
1504Q8—48no—
1505Q8—84no—
1506Q8—84no—
1507D4—216no—
1508D4—216no—
1509D4—48no—
1510D4—48no—
1511D4—44no—
1512D4—416no—
1513D4—416no—
1514D4—44no—
1515D4—88no—
1516D4—88no—
1517D4—84no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—44no—
1598C2×C4—48no—
1599C2×C4—416no—
1600C2×C4—416no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—48no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—88no—
1608C2×C4—88no—
1609C2×C4—88no—
1610C2×C4—88no—
1611C2×C4—88no—
1612C2×C4—84no—
1613C2×C4—164no—
1614C2×C4C22×#4114yes—
1615C2×C4C22×#4112yes—
1616C2×C4C22×#4114yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4C22×#4112yes—
1620C2×C4C22×#4112yes—
1621C2×C4C22×#4112yes—
1622C2×C4C2×H(5,𝔽2)12yes—
1623C2×C4C2×H(5,𝔽2)12yes—
1624C2×C4C2×2−1+414yes—
1625C2×C4C2×2−1+412yes—
1626C2×C4#58512yes—
1627C2×C4#58512yes—
1628C22—28no—
1629C22—22no—
1630C22—22no—
1631C22—28no—
1632C22—22no—
1633C22—28no—
1634C22—41no—
1635C22—44no—
1636C22—44no—
1637C22—41no—
1638C22—44no—
1639C22—41no—
1640C22—44no—
1641C22—41no—
1642C22—41no—
1643C22—42no—
1644C22—41no—
1645C22—42no—
1646C22—42no—
1647C22—41no—
1648C22—41no—
1649C22—42no—
1650C22—42no—
1651C22—41no—
1652C22—41no—
1653C22—42no—
1654C22—42no—
1655C22—41no—
1656C22C23×#4111yescharacteristic
1657C22C23×#4111yescharacteristic
1658C22C22×H(5,𝔽2)11yescharacteristic
1659C22C22×2−1+411yescharacteristic
1660C22C2×#58511yescharacteristic
1661C22C2×#58511yescharacteristic
1662C22H(7,𝔽2)11yescharacteristic
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—24no—
1667C4—22no—
1668C4—24no—
1669C4—22no—
1670C4—24no—
1671C4—41no—
1672C4—44no—
1673C4—44no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—41no—
1680C4—41no—
1681C4—42no—
1682C4—42no—
1683C4—44no—
1684C4—41no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4—41no—
1690C4—41no—
1691C4—42no—
1692C4#347514yes—
1693C4#351514yes—
1694C2—48no—
1695C2—42no—
1696C2—81no—
1697C2—82no—
1698C2C2×#347511yescharacteristic
1699C2C2×#351511yescharacteristic
1700C2#6280011yescharacteristic
1701C2#6293711yescharacteristic
1702C2#6298311yescharacteristic
1703C2#6299911yescharacteristic
1704C2#6301311yescharacteristic
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. #59765C2semidirect
2. #59545C2semidirect
3. #59497C2semidirect
4. #59457C2semidirect
5. #59403C2semidirect
6. #59092C2semidirect
7. #59039C2semidirect
8. #59039C2semidirect
9. #45406C2semidirect
10. #45035C2semidirect
11. #44141C2semidirect
12. #43672C2semidirect
13. #39533C2semidirect
14. #39514C2semidirect
15. #39021C2semidirect
16. #38931C2semidirect
17. #38734C2semidirect
18. #38274C2semidirect
19. #36563C2semidirect
20. #36551C2semidirect
21. #36372C2semidirect
22. #36301C2semidirect
23. #36287C2semidirect
24. #36239C2semidirect
25. #36127C2semidirect
26. #36114C2semidirect
27. #35947C2semidirect
28. #35772C2semidirect
29. #34914C2semidirect
30. #34800C2semidirect
31. #34313C2semidirect
32. #34260C2semidirect
33. #34236C2semidirect
34. C4×#552C2semidirect
35. #34155C2semidirect
903. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#597652
#595452
#594972
#594572
#594032
#590922
#590392
#454062
#450352
#441412
#436722
#395332
#395142
#390212
#389312
#387342
#382742
#365632
#365512
#363722
#363012
#362872
#362392
#361272
#361142
#359472
#357722
#349142
#348002
#343132
#342602
#342362
C4×#5522
#341552