Finite Group Databasebeta

← #8429495

Subgroups — #8429495

Order 512.

4932 conjugacy classes of subgroups.

The subgroup lattice has 1757 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59870C211yesmaximal, characteristic, complemented
2#59641C212yesmaximal, complemented
3#59628C212yesmaximal, complemented
4#59136C211yesmaximal, characteristic, complemented
5#59039C211yesmaximal, characteristic, complemented
6#58153C214yesmaximal, complemented
7#57491C214yesmaximal, complemented
8#53135C212yesmaximal, complemented
9#53096C212yesmaximal, complemented
10#53080C212yesmaximal, complemented
11#53071C212yesmaximal, complemented
12#52403C214yesmaximal, complemented
13#42604C212yesmaximal, complemented
14#42593C212yesmaximal, complemented
15#42515C212yesmaximal, complemented
16#42503C212yesmaximal, complemented
17#40607C214yesmaximal, complemented
18#39694C212yesmaximal, complemented
19#39201C211yesmaximal, characteristic, complemented
20#39138C211yesmaximal, characteristic, complemented
21#39064C212yesmaximal, complemented
22#39000C212yesmaximal, complemented
23#38996C212yesmaximal, complemented
24#38952C211yesmaximal, characteristic, complemented
25#38941C211yesmaximal, characteristic, complemented
26#37636C211yesmaximal, characteristic, complemented
27#37632C211yesmaximal, characteristic, complemented
28#37593C212yesmaximal, complemented
29#37523C212yesmaximal, complemented
30#36492C211yesmaximal, characteristic, complemented
31#36480C211yesmaximal, characteristic, complemented
32#36122C211yesmaximal, characteristic, complemented
33#34977C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34724C211yesmaximal, characteristic, complemented
36C2×#559C2214yes—
37C2×#554C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#548C2212yes—
40C2×#532C2211yescharacteristic
41C22×C4⋊Q8C2211yescharacteristic
42C2×#529C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44#2863C2212yes—
45#2858C2211yescharacteristic
46#2857C2211yescharacteristic
47#2856C2211yescharacteristic
48#2851C2212yes—
49#2837C2214yes—
50#2832C2214yes—
51#2832C2214yes—
52#2831C2214yes—
53#2829C2214yes—
54#2828C2214yes—
55#2826C2214yes—
56#2824C2214yes—
57#2824C2214yes—
58#2824C2214yes—
59#2821C2214yes—
60#2819C2214yes—
61#2813C2214yes—
62#2813C2214yes—
63#2805C2214yes—
64#2804C2214yes—
65#2788C2214yes—
66#2782C2214yes—
67#2781C2214yes—
68#2779C2214yes—
69#2764C2214yes—
70#2750C2214yes—
71#2749C2214yes—
72#2749C2214yes—
73#2748C2214yes—
74#2743C2214yes—
75#2742C2214yes—
76#2740C2214yes—
77#2738C2214yes—
78#2737C2214yes—
79#2737C2214yes—
80#2729C2214yes—
81#2714C2214yes—
82#2712C2214yes—
83#2712C2214yes—
84#2712C2214yes—
85#2710C2214yes—
86#2710C2214yes—
87#2710C2214yes—
88#2709C2214yes—
89#2701C2214yes—
90#2696C2214yes—
91#2693C2214yes—
92#2686C2214yes—
93#2686C2214yes—
94#2686C2214yes—
95#2673C2214yes—
96#2673C2214yes—
97#2672C2214yes—
98#2672C2214yes—
99#2672C2214yes—
100#2663C2214yes—
101#2663C2214yes—
102#2660C2212yes—
103#2652C2214yes—
104#2651C2214yes—
105#2650C2214yes—
106#2649C2214yes—
107#2649C2214yes—
108#2640C2212yes—
109#2640C2212yes—
110#2635C2214yes—
111#2632C2214yes—
112#2632C2214yes—
113#2628C2212yes—
114#2628C2212yes—
115#2628C2212yes—
116#2628C2212yes—
117#2624C2212yes—
118#2624C2212yes—
119#2624C2212yes—
120#2620C2212yes—
121#2619C2212yes—
122#2614C2214yes—
123#2610C2214yes—
124#2605C2214yes—
125#2600C2214yes—
126#2581C2214yes—
127#2580C2214yes—
128#2580C2212yes—
129#2571C2212yes—
130#2568C2212yes—
131#2567C2211yescharacteristic
132#2567C2211yescharacteristic
133#2567C2211yescharacteristic
134#2564C2214yes—
135#2563C2211yescharacteristic
136#2563C2211yescharacteristic
137#2563C2211yescharacteristic
138#2563C2212yes—
139#2562C2212yes—
140#2551C2211yescharacteristic
141#2550C2212yes—
142#2548C2211yescharacteristic
143#2548C2212yes—
144#2545C2212yes—
145#2541C2211yescharacteristic
146#2541C2212yes—
147#2541C2212yes—
148#2537C2211yescharacteristic
149#2537C2212yes—
150#2535C2212yes—
151#2535C2212yes—
152#2532C2212yes—
153#2526C2212yes—
154#2518C2212yes—
155#2513C2212yes—
156#2513C2212yes—
157#2513C2211yescharacteristic
158#2511C2212yes—
159#2511C2212yes—
160#2509C2212yes—
161#2509C2212yes—
162#2509C2212yes—
163#2508C2211yescharacteristic
164#2505C2214yes—
165#2503C2212yes—
166#2501C2212yes—
167#2501C2212yes—
168#2500C2212yes—
169#2500C2211yescharacteristic
170#2497C2212yes—
171#2497C2211yescharacteristic
172#2495C2212yes—
173#2495C2212yes—
174#2492C2212yes—
175#2492C2212yes—
176#2491C2212yes—
177#2491C2212yes—
178#2491C2212yes—
179#2491C2212yes—
180#2491C2212yes—
181#2491C2212yes—
182#2491C2212yes—
183#2491C2211yescharacteristic
184#2490C2212yes—
185#2486C2212yes—
186#2486C2212yes—
187#2485C2211yescharacteristic
188#2478C2212yes—
189#2477C2214yes—
190#2470C2212yes—
191#2466C2212yes—
192#2465C2214yes—
193#2465C2214yes—
194#2463C2214yes—
195#2463C2214yes—
196#2459C2214yes—
197#2459C2214yes—
198#2459C2212yes—
199#2458C2214yes—
200#2458C2214yes—
201#2455C2214yes—
202#2455C2214yes—
203#2455C2212yes—
204#2454C2212yes—
205#2454C2212yes—
206#2453C2211yescharacteristic
207#2452C2212yes—
208#2452C2212yes—
209#2452C2212yes—
210#2448C2214yes—
211#2447C2211yescharacteristic
212#2445C2212yes—
213#2445C2212yes—
214#2445C2212yes—
215#2445C2214yes—
216#2445C2212yes—
217#2442C2212yes—
218#2441C2211yescharacteristic
219#2440C2212yes—
220#2439C2212yes—
221#2439C2211yescharacteristic
222#2436C2212yes—
223#2432C2212yes—
224#2432C2212yes—
225#2432C2211yescharacteristic
226#2431C2212yes—
227#2431C2212yes—
228#2430C2214yes—
229#2429C2211yescharacteristic
230#2428C2212yes—
231#2427C2212yes—
232#2422C2212yes—
233#2422C2212yes—
234#2422C2211yescharacteristic
235#2421C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2419C2214yes—
239#2417C2212yes—
240#2416C2212yes—
241#2416C2212yes—
242#2415C2211yescharacteristic
243#2414C2212yes—
244#2414C2211yescharacteristic
245#2414C2212yes—
246#2409C2214yes—
247#2407C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2211yescharacteristic
251#2398C2212yes—
252#2395C2212yes—
253#2392C2212yes—
254#2392C2212yes—
255#2388C2214yes—
256#2369C2211yescharacteristic
257#2366C2211yescharacteristic
258#2365C2212yes—
259#2365C2212yes—
260#2361C2212yes—
261#2361C2212yes—
262#2361C2212yes—
263#2361C2212yes—
264#2355C2211yescharacteristic
265#2355C2211yescharacteristic
266#2352C2212yes—
267Q8×C4⋊C4C2212yes—
268#2349C2212yes—
269D4×C4⋊C4C2212yes—
270#2347C2212yes—
271#2339C2212yes—
272#2324C2212yes—
273#2324C2212yes—
274#2319C2212yes—
275#2318C2214yes—
276#2311C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2212yes—
281C4×#127C2212yes—
282C4×#124C2212yes—
283C4×#124C2212yes—
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×#123C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2212yes—
290C4×#121C2212yes—
291C4×#121C2211yescharacteristic
292#2298C2212yes—
293#2296C2212yes—
294#2293C2211yescharacteristic
295#2293C2211yescharacteristic
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C23×Q8C2312yes—
303#559—416no—
304#554—44no—
305#550—44no—
306#548—48no—
307#532—44no—
308C2×C4⋊Q8—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2314yes—
322#529—44no—
323C2×#126C2312yes—
324C2×#125C2312yes—
325C2×#125C2311yescharacteristic
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2311yescharacteristic
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2312yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2314yes—
367C2×#121C2314yes—
368C4×#41—44no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2314yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2314yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2314yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×#117C2311yescharacteristic
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2311yescharacteristic
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#400C2312yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2312yes—
435#399C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2312yes—
442#398C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2314yes—
470#396C2312yes—
471#396C2312yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2312yes—
513#394C2312yes—
514#394C2312yes—
515#394C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2312yes—
532#393C2312yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2312yes—
542#392C2314yes—
543#392C2312yes—
544#392C2314yes—
545#391C2311yescharacteristic
546#391C2314yes—
547#391C2312yes—
548#391C2312yes—
549#391C2311yescharacteristic
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2314yes—
554#391C2312yes—
555#391C2312yes—
556#391C2311yescharacteristic
557#391C2312yes—
558#391C2314yes—
559#391C2314yes—
560#391C2311yescharacteristic
561#391C2314yes—
562#391C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2311yescharacteristic
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2311yescharacteristic
590#390C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2314yes—
613#389C2314yes—
614#389C2312yes—
615#389C2314yes—
616#389C2311yescharacteristic
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2314yes—
677#387C2314yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#385C2312yes—
706#385C2314yes—
707#385C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#384C2312yes—
727#384C2312yes—
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2312yes—
732#383C2312yes—
733#383C2314yes—
734#383C2314yes—
735#382C2311yescharacteristic
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#382C2312yes—
740#382C2314yes—
741#382C2312yes—
742#382C2312yes—
743#382C2311yescharacteristic
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2312yes—
748#381C2312yes—
749#381C2314yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2312yes—
765#380C2311yescharacteristic
766#380C2314yes—
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814#376C2312yes—
815C2×#95C2314yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C2×#41—44no—
819C2×#41—42no—
820C2×#41—42no—
821C2×#41—42no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—82no—
827C22×Q8—44no—
828C22×Q8—44no—
829C22×Q8—82no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2414yes—
836C22×Q8C2414yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C4⋊Q8—24no—
870C4⋊Q8—24no—
871C4⋊Q8—24no—
872C4⋊Q8—44no—
873C4⋊Q8—44no—
874C4⋊Q8—44no—
875C4⋊Q8—44no—
876C4⋊Q8—44no—
877C4⋊Q8—42no—
878#127—24no—
879#127—44no—
880#127—44no—
881#127—48no—
882#126—44no—
883#125—42no—
884#125—44no—
885#124—28no—
886#124—44no—
887#124—48no—
888#124—48no—
889#124—44no—
890#124—42no—
891#124—44no—
892#124—48no—
893#124—48no—
894#124—82no—
895#123—28no—
896#123—48no—
897#123—44no—
898#123—48no—
899#123—48no—
900#123—84no—
901#123—84no—
902#123—84no—
903C22⋊Q8—48no—
904C22⋊Q8—44no—
905C22⋊Q8—48no—
906C22⋊Q8—42no—
907C22⋊Q8—42no—
908C22⋊Q8—42no—
909C22⋊Q8—44no—
910C22⋊Q8—84no—
911#121—24no—
912#121—28no—
913#121—48no—
914#121—44no—
915#121—42no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—42no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—48no—
926#121—84no—
927C4×Q8—24no—
928C4×Q8—24no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×Q8—48no—
932C4×Q8—42no—
933C4×Q8—48no—
934C4×D4—24no—
935C4×D4—216no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—42no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—42no—
946C4×D4—42no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—48no—
952C4×D4—44no—
953C4×D4—48no—
954C4×D4—48no—
955C4×D4—84no—
956#117—24no—
957#117—44no—
958#117—44no—
959#117—44no—
960#117—44no—
961#117—42no—
962#117—42no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C42—24no—
1096C2×C42—24no—
1097C2×C42—44no—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2412yes—
1124C2×C42C2414yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24C2512yes—
1194C24C2512yes—
1195C24C2514yes—
1196C24C2511yescharacteristic
1197C24C2511yescharacteristic
1198#41—416no—
1199#41—816no—
1200#41—816no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—44no—
1215C2×Q8—42no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—42no—
1219C2×Q8—44no—
1220C2×Q8—44no—
1221C2×Q8—44no—
1222C2×Q8—816no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—28no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—28no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C22×C4—22no—
1275C22×C4—28no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—28no—
1298C22×C4—24no—
1299C22×C4—42no—
1300C22×C4—41no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—41no—
1304C22×C4—42no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—42no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2514yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2514yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2514yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—28no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C42−1+414yes—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—22no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4H(5,𝔽2)14yes—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—24no—
1485C42—24no—
1486C42—22no—
1487C42—28no—
1488C42—24no—
1489C42—24no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—24no—
1494C42—24no—
1495C42—24no—
1496C42—24no—
1497C42—22no—
1498C42—42no—
1499C42—42no—
1500C42—42no—
1501C42—44no—
1502C42—44no—
1503C42—42no—
1504C42—44no—
1505C42—41no—
1506C42H(5,𝔽2)14yes—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—24no—
1517C23—21no—
1518C23—22no—
1519C23—24no—
1520C23—21no—
1521C23—21no—
1522C23—22no—
1523C23—24no—
1524C23—22no—
1525C23—21no—
1526C23—21no—
1527C23—24no—
1528C23—24no—
1529C23—22no—
1530C23—21no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—24no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—24no—
1540C23—21no—
1541C23C2×H(5,𝔽2)12yes—
1542C23C2611yescharacteristic
1543Q8—48no—
1544Q8—48no—
1545Q8—44no—
1546Q8—44no—
1547Q8—84no—
1548Q8—88no—
1549Q8—88no—
1550D4—48no—
1551D4—44no—
1552D4—48no—
1553D4—44no—
1554D4—48no—
1555D4—44no—
1556D4—48no—
1557D4—88no—
1558D4—84no—
1559D4—88no—
1560D4—84no—
1561D4—88no—
1562D4—84no—
1563D4—88no—
1564D4—88no—
1565D4—88no—
1566D4—164no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—48no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—48no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—48no—
1656C2×C4—84no—
1657C2×C4—88no—
1658C2×C4—88no—
1659C2×C4—88no—
1660C2×C4—164no—
1661C2×C4—164no—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×H(5,𝔽2)12yes—
1665C2×C4C2×H(5,𝔽2)12yes—
1666C2×C4C2×H(5,𝔽2)12yes—
1667C2×C4C2×2−1+414yes—
1668C2×C4C2×2−1+412yes—
1669C2×C4#58512yes—
1670C2×C4#58512yes—
1671C2×C4#58512yes—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—42no—
1680C22—41no—
1681C22—42no—
1682C22—44no—
1683C22—42no—
1684C22—41no—
1685C22—42no—
1686C22—44no—
1687C22—42no—
1688C22—42no—
1689C22—44no—
1690C22—41no—
1691C22—41no—
1692C22—42no—
1693C22—42no—
1694C22—44no—
1695C22—41no—
1696C22—44no—
1697C22—42no—
1698C22—42no—
1699C22—44no—
1700C22—41no—
1701C22—42no—
1702C22—42no—
1703C22—41no—
1704C22—44no—
1705C22—42no—
1706C22—42no—
1707C22C22×H(5,𝔽2)11yescharacteristic
1708C22C22×H(5,𝔽2)11yescharacteristic
1709C22C22×2−1+411yescharacteristic
1710C22C2×#58511yescharacteristic
1711C22C2×#58511yescharacteristic
1712C22C2×#58511yescharacteristic
1713C22H(7,𝔽2)11yescharacteristic
1714C4—22no—
1715C4—24no—
1716C4—22no—
1717C4—22no—
1718C4—41no—
1719C4—41no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—41no—
1724C4—41no—
1725C4—42no—
1726C4—42no—
1727C4—41no—
1728C4—44no—
1729C4—42no—
1730C4—42no—
1731C4—41no—
1732C4—44no—
1733C4—42no—
1734C4—44no—
1735C4—42no—
1736C4—41no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—41no—
1742C4#354014yes—
1743C4#355414yes—
1744C2—42no—
1745C2—82no—
1746C2—81no—
1747C2—82no—
1748C2—84no—
1749C2C2×#354011yescharacteristic
1750C2C2×#355411yescharacteristic
1751C2#6275911yescharacteristic
1752C2#6291211yescharacteristic
1753C2#6293811yescharacteristic
1754C2#6295211yescharacteristic
1755C2#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. #59870C2semidirect
2. #59641C2semidirect
3. #59628C2semidirect
4. #59136C2semidirect
5. #59039C2semidirect
6. #58153C2semidirect
7. #57491C2semidirect
8. #53135C2semidirect
9. #53096C2semidirect
10. #53080C2semidirect
11. #53071C2semidirect
12. #52403C2semidirect
13. #42604C2semidirect
14. #42593C2semidirect
15. #42515C2semidirect
16. #42503C2semidirect
17. #40607C2semidirect
18. #39694C2semidirect
19. #39201C2semidirect
20. #39138C2semidirect
21. #39064C2semidirect
22. #39000C2semidirect
23. #38996C2semidirect
24. #38952C2semidirect
25. #38941C2semidirect
26. #37636C2semidirect
27. #37632C2semidirect
28. #37593C2semidirect
29. #37523C2semidirect
30. #36492C2semidirect
31. #36480C2semidirect
32. #36122C2semidirect
33. #34977C2semidirect
34. #34800C2semidirect
35. #34724C2semidirect

Maximal subgroups

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

subgroupindex
#598702
#596412
#596282
#591362
#590392
#581532
#574912
#531352
#530962
#530802
#530712
#524032
#426042
#425932
#425152
#425032
#406072
#396942
#392012
#391382
#390642
#390002
#389962
#389522
#389412
#376362
#376322
#375932
#375232
#364922
#364802
#361222
#349772
#348002
#347242