Finite Group Databasebeta

← #8429396

Subgroups — #8429396

Order 512.

4537 conjugacy classes of subgroups.

The subgroup lattice has 1725 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59655C211yesmaximal, characteristic, complemented
2#59592C212yesmaximal, complemented
3#59390C212yesmaximal, complemented
4#59245C211yesmaximal, characteristic, complemented
5#59234C211yesmaximal, characteristic, complemented
6#56711C214yesmaximal, complemented
7#55959C214yesmaximal, complemented
8#53072C212yesmaximal, complemented
9#53061C212yesmaximal, complemented
10#53053C212yesmaximal, complemented
11#53046C212yesmaximal, complemented
12#52477C214yesmaximal, complemented
13#42907C212yesmaximal, complemented
14#42906C212yesmaximal, complemented
15#42666C212yesmaximal, complemented
16#42653C212yesmaximal, complemented
17#40738C214yesmaximal, complemented
18#39784C212yesmaximal, complemented
19#39695C212yesmaximal, complemented
20#39560C212yesmaximal, complemented
21#39506C211yesmaximal, characteristic, complemented
22#39470C211yesmaximal, characteristic, complemented
23#39213C212yesmaximal, complemented
24#39194C211yesmaximal, characteristic, complemented
25#39125C211yesmaximal, characteristic, complemented
26#37636C211yesmaximal, characteristic, complemented
27#37621C211yesmaximal, characteristic, complemented
28#37523C212yesmaximal, complemented
29#37514C212yesmaximal, complemented
30#36492C211yesmaximal, characteristic, complemented
31#36456C211yesmaximal, characteristic, complemented
32#36210C211yesmaximal, characteristic, complemented
33#34976C211yesmaximal, characteristic, complemented
34#34724C211yesmaximal, characteristic, complemented
35#34715C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#532C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2859C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2212yes—
45#2857C2211yescharacteristic
46#2851C2212yes—
47#2838C2214yes—
48#2837C2214yes—
49#2833C2214yes—
50#2832C2214yes—
51#2832C2214yes—
52#2830C2214yes—
53#2829C2214yes—
54#2828C2214yes—
55#2828C2214yes—
56#2826C2214yes—
57#2826C2214yes—
58#2824C2214yes—
59#2819C2214yes—
60#2813C2214yes—
61#2807C2214yes—
62#2805C2214yes—
63#2803C2214yes—
64#2803C2214yes—
65#2801C2214yes—
66#2800C2214yes—
67#2800C2214yes—
68#2788C2214yes—
69#2783C2214yes—
70#2783C2214yes—
71#2779C2214yes—
72#2778C2214yes—
73#2775C2214yes—
74#2775C2214yes—
75#2773C2214yes—
76#2770C2214yes—
77#2763C2214yes—
78#2759C2214yes—
79#2759C2214yes—
80#2758C2214yes—
81#2757C2214yes—
82#2757C2214yes—
83#2756C2214yes—
84#2755C2214yes—
85#2754C2214yes—
86#2753C2214yes—
87#2751C2214yes—
88#2733C2214yes—
89#2730C2214yes—
90#2729C2214yes—
91#2716C2214yes—
92#2712C2214yes—
93#2710C2214yes—
94#2700C2214yes—
95#2700C2214yes—
96#2681C2214yes—
97#2674C2214yes—
98#2663C2214yes—
99#2663C2214yes—
100#2662C2214yes—
101#2653C2214yes—
102#2653C2214yes—
103#2651C2214yes—
104#2649C2214yes—
105#2649C2214yes—
106#2649C2214yes—
107#2648C2214yes—
108#2632C2214yes—
109#2628C2212yes—
110#2628C2212yes—
111#2628C2212yes—
112#2628C2212yes—
113#2624C2212yes—
114#2624C2212yes—
115#2624C2212yes—
116#2621C2212yes—
117#2619C2212yes—
118#2616C2212yes—
119#2616C2212yes—
120#2615C2212yes—
121#2609C2214yes—
122#2602C2214yes—
123#2595C2214yes—
124#2593C2214yes—
125#2589C2214yes—
126#2589C2214yes—
127#2588C2214yes—
128#2586C2214yes—
129#2582C2211yescharacteristic
130#2568C2212yes—
131#2563C2211yescharacteristic
132#2563C2211yescharacteristic
133#2563C2212yes—
134#2562C2212yes—
135#2562C2212yes—
136#2562C2212yes—
137#2557C2214yes—
138#2551C2211yescharacteristic
139#2550C2212yes—
140#2550C2212yes—
141#2550C2212yes—
142#2547C2212yes—
143#2547C2212yes—
144#2540C2212yes—
145#2538C2211yescharacteristic
146#2538C2211yescharacteristic
147#2538C2211yescharacteristic
148#2538C2212yes—
149#2538C2211yescharacteristic
150#2537C2211yescharacteristic
151#2537C2211yescharacteristic
152#2536C2212yes—
153#2535C2212yes—
154#2525C2214yes—
155#2518C2214yes—
156#2515C2214yes—
157#2514C2212yes—
158#2513C2212yes—
159#2513C2212yes—
160#2513C2212yes—
161#2511C2212yes—
162#2509C2214yes—
163#2509C2212yes—
164#2509C2212yes—
165#2508C2212yes—
166#2508C2212yes—
167#2500C2212yes—
168#2497C2212yes—
169#2495C2212yes—
170#2495C2212yes—
171#2495C2212yes—
172#2495C2212yes—
173#2494C2212yes—
174#2494C2212yes—
175#2494C2212yes—
176#2494C2212yes—
177#2492C2212yes—
178#2492C2212yes—
179#2492C2212yes—
180#2491C2212yes—
181#2491C2212yes—
182#2491C2212yes—
183#2491C2212yes—
184#2490C2212yes—
185#2490C2212yes—
186#2489C2212yes—
187#2489C2212yes—
188#2486C2212yes—
189#2485C2212yes—
190#2485C2212yes—
191#2485C2212yes—
192#2478C2212yes—
193#2477C2214yes—
194#2476C2212yes—
195#2474C2214yes—
196#2474C2212yes—
197#2470C2212yes—
198#2466C2212yes—
199#2463C2214yes—
200#2463C2214yes—
201#2461C2214yes—
202#2459C2212yes—
203#2456C2212yes—
204#2455C2214yes—
205#2455C2212yes—
206#2453C2212yes—
207#2453C2211yescharacteristic
208#2452C2212yes—
209#2452C2214yes—
210#2452C2212yes—
211#2451C2211yescharacteristic
212#2448C2212yes—
213#2447C2214yes—
214#2447C2211yescharacteristic
215#2445C2212yes—
216#2445C2211yescharacteristic
217#2441C2212yes—
218#2441C2211yescharacteristic
219#2440C2212yes—
220#2439C2212yes—
221#2439C2212yes—
222#2439C2211yescharacteristic
223#2439C2214yes—
224#2432C2211yescharacteristic
225#2431C2211yescharacteristic
226#2429C2214yes—
227#2429C2212yes—
228#2429C2211yescharacteristic
229#2426C2212yes—
230#2426C2211yescharacteristic
231#2422C2211yescharacteristic
232#2421C2212yes—
233#2421C2212yes—
234#2421C2212yes—
235#2420C2211yescharacteristic
236#2420C2212yes—
237#2415C2212yes—
238#2415C2212yes—
239#2415C2212yes—
240#2415C2211yescharacteristic
241#2414C2212yes—
242#2414C2211yescharacteristic
243#2414C2212yes—
244#2407C2211yescharacteristic
245#2407C2212yes—
246#2407C2212yes—
247#2407C2211yescharacteristic
248#2407C2212yes—
249#2395C2212yes—
250#2392C2214yes—
251#2392C2212yes—
252#2392C2212yes—
253#2388C2212yes—
254#2370C2212yes—
255#2369C2212yes—
256#2369C2212yes—
257#2367C2212yes—
258#2362C2212yes—
259#2362C2212yes—
260#2361C2212yes—
261#2360C2212yes—
262#2357C2214yes—
263#2355C2211yescharacteristic
264#2355C2211yescharacteristic
265#2354C2211yescharacteristic
266#2352C2212yes—
267#2351C2212yes—
268Q8×C4⋊C4C2211yescharacteristic
269#2347C2212yes—
270#2347C2212yes—
271#2341C2212yes—
272#2332C2214yes—
273#2323C2212yes—
274#2323C2212yes—
275#2314C2212yes—
276#2311C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×#124C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×#123C2212yes—
287C4×#123C2212yes—
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2212yes—
291C4×#121C2212yes—
292#2297C2212yes—
293#2296C2212yes—
294#2293C2211yescharacteristic
295#2293C2211yescharacteristic
296#2285C2211yescharacteristic
297#2285C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302Q82—44no—
303#554—44no—
304#532—44no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×#127C2311yescharacteristic
314#529—44no—
315C2×#126C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2314yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2312yes—
352C4×#41—44no—
353C4×#41—44no—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2314yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395C22×C42C2312yes—
396#401C2314yes—
397#401C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2312yes—
419#399C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2312yes—
429#398C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#397C2312yes—
453#397C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2312yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2312yes—
503#394C2314yes—
504#394C2312yes—
505#394C2312yes—
506#394C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2312yes—
517#393C2314yes—
518#393C2314yes—
519#392C2312yes—
520#392C2312yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2312yes—
526#392C2314yes—
527#392C2312yes—
528#392C2314yes—
529#392C2312yes—
530#391C2312yes—
531#391C2311yescharacteristic
532#391C2311yescharacteristic
533#391C2314yes—
534#391C2311yescharacteristic
535#391C2312yes—
536#391C2314yes—
537#391C2314yes—
538#391C2314yes—
539#391C2312yes—
540#391C2311yescharacteristic
541#391C2312yes—
542#391C2312yes—
543#391C2314yes—
544#391C2314yes—
545#391C2314yes—
546#391C2312yes—
547#391C2312yes—
548#391C2314yes—
549#391C2312yes—
550#391C2312yes—
551#391C2314yes—
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2312yes—
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#390C2312yes—
571#390C2311yescharacteristic
572#390C2312yes—
573#390C2311yescharacteristic
574#390C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2314yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2314yes—
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2312yes—
617#389C2312yes—
618#389C2311yescharacteristic
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2314yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2312yes—
677#387C2312yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2312yes—
726#383C2314yes—
727#383C2314yes—
728#383C2314yes—
729#382C2312yes—
730#382C2314yes—
731#382C2312yes—
732#382C2314yes—
733#382C2312yes—
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#382C2314yes—
739#382C2311yescharacteristic
740#381C2312yes—
741#381C2312yes—
742#381C2314yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—24no—
817C2×#41—44no—
818C2×#41—44no—
819C2×#41—44no—
820C2×#41—42no—
821C2×#41—42no—
822C2×#41—42no—
823C2×#41—42no—
824C2×#41—42no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×Q8C2414yes—
831C22×Q8C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2414yes—
859C23×C4C2412yes—
860C4⋊Q8—24no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—42no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8—42no—
867C4⋊Q8—48no—
868#127—42no—
869#126—44no—
870#125—44no—
871#125—42no—
872#125—44no—
873#124—24no—
874#124—44no—
875#124—42no—
876#124—84no—
877#124—84no—
878#124—84no—
879#123—44no—
880#123—44no—
881#123—44no—
882#123—84no—
883C22⋊Q8—28no—
884C22⋊Q8—24no—
885C22⋊Q8—48no—
886C22⋊Q8—44no—
887C22⋊Q8—48no—
888C22⋊Q8—42no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—42no—
893C22⋊Q8—42no—
894C22⋊Q8—44no—
895C22⋊Q8—84no—
896C22⋊Q8—82no—
897#121—44no—
898#121—44no—
899#121—44no—
900#121—44no—
901#121—44no—
902#121—42no—
903#121—42no—
904#121—42no—
905#121—42no—
906C4×Q8—24no—
907C4×Q8—24no—
908C4×Q8—24no—
909C4×Q8—44no—
910C4×Q8—42no—
911C4×Q8—42no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—82no—
915C4×D4—24no—
916C4×D4—24no—
917C4×D4—24no—
918C4×D4—42no—
919C4×D4—42no—
920C4×D4—44no—
921C4×D4—42no—
922C4×D4—44no—
923C4×D4—42no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—48no—
929C4×D4—42no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—84no—
933#117—44no—
934#117—44no—
935#117—44no—
936#117—44no—
937#117—44no—
938#117—44no—
939#117—44no—
940#117—42no—
941#117—42no—
942#117—82no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C42—24no—
1075C2×C42—24no—
1076C2×C42—44no—
1077C2×C42—44no—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2414yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2411yescharacteristic
1108#95C2412yes—
1109#95C2411yescharacteristic
1110#95C2412yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2414yes—
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176C24C2512yes—
1177C24C2512yes—
1178C24C2512yes—
1179C24C2511yescharacteristic
1180C24C2511yescharacteristic
1181#41—416no—
1182#41—416no—
1183#41—816no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—44no—
1199C2×Q8—44no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q82−1+414yes—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—41no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—41no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2514yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2514yes—
1301C22×C4C2514yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2514yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—28no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—28no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—41no—
1357C4⋊C4—42no—
1358C4⋊C4—41no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—22no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—44no—
1414C22⋊C4—41no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—24no—
1456C42—24no—
1457C42—24no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—24no—
1462C42—24no—
1463C42—22no—
1464C42—42no—
1465C42—42no—
1466C42—42no—
1467C42—42no—
1468C42—44no—
1469C42—44no—
1470C42—44no—
1471C42—41no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—41no—
1476C42—44no—
1477C42—44no—
1478C42H(5,𝔽2)14yes—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—21no—
1483C23—21no—
1484C23—22no—
1485C23—21no—
1486C23—22no—
1487C23—22no—
1488C23—21no—
1489C23—21no—
1490C23—22no—
1491C23—21no—
1492C23—21no—
1493C23—22no—
1494C23—22no—
1495C23—21no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—21no—
1501C23—21no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23C2611yescharacteristic
1515Q8—28no—
1516Q8—44no—
1517Q8—44no—
1518Q8—84no—
1519Q8—84no—
1520Q8—164no—
1521Q8—164no—
1522D4—48no—
1523D4—44no—
1524D4—48no—
1525D4—44no—
1526D4—44no—
1527D4—44no—
1528D4—88no—
1529D4—88no—
1530D4—84no—
1531D4—84no—
1532D4—84no—
1533D4—84no—
1534D4—84no—
1535D4—84no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—44no—
1618C2×C4—48no—
1619C2×C4—48no—
1620C2×C4—44no—
1621C2×C4—48no—
1622C2×C4—48no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—48no—
1626C2×C4—44no—
1627C2×C4—84no—
1628C2×C4—84no—
1629C2×C4—82no—
1630C2×C4—164no—
1631C2×C4C2×H(5,𝔽2)12yes—
1632C2×C4C2×H(5,𝔽2)12yes—
1633C2×C4C2×H(5,𝔽2)12yes—
1634C2×C4C2×2−1+414yes—
1635C2×C4C2×2−1+412yes—
1636C2×C4#58512yes—
1637C2×C4#58512yes—
1638C2×C4#58512yes—
1639C2×C4#58512yes—
1640C22—42no—
1641C22—41no—
1642C22—42no—
1643C22—41no—
1644C22—42no—
1645C22—42no—
1646C22—41no—
1647C22—41no—
1648C22—42no—
1649C22—42no—
1650C22—41no—
1651C22—41no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—41no—
1656C22—42no—
1657C22—42no—
1658C22—41no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—41no—
1663C22—42no—
1664C22—41no—
1665C22—42no—
1666C22—41no—
1667C22—42no—
1668C22—42no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22C22×H(5,𝔽2)11yescharacteristic
1676C22C22×2−1+411yescharacteristic
1677C22C2×#58511yescharacteristic
1678C22C2×#58511yescharacteristic
1679C22C2×#58511yescharacteristic
1680C22C2×#58511yescharacteristic
1681C22H(7,𝔽2)11yescharacteristic
1682C4—24no—
1683C4—22no—
1684C4—22no—
1685C4—41no—
1686C4—42no—
1687C4—41no—
1688C4—41no—
1689C4—42no—
1690C4—41no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—42no—
1695C4—41no—
1696C4—44no—
1697C4—41no—
1698C4—42no—
1699C4—41no—
1700C4—44no—
1701C4—42no—
1702C4—42no—
1703C4—41no—
1704C4—44no—
1705C4—42no—
1706C4—41no—
1707C4—42no—
1708C4—44no—
1709C4—42no—
1710C4#354014yes—
1711C4#354114yes—
1712C2—81no—
1713C2—82no—
1714C2—82no—
1715C2—81no—
1716C2—82no—
1717C2C2×#354111yescharacteristic
1718C2C2×#354011yescharacteristic
1719C2#6276211yescharacteristic
1720C2#6293811yescharacteristic
1721C2#6295211yescharacteristic
1722C2#6295711yescharacteristic
1723C2#6303411yescharacteristic
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. #59655C2semidirect
2. #59592C2semidirect
3. #59390C2semidirect
4. #59245C2semidirect
5. #59234C2semidirect
6. #56711C2semidirect
7. #55959C2semidirect
8. #53072C2semidirect
9. #53061C2semidirect
10. #53053C2semidirect
11. #53046C2semidirect
12. #52477C2semidirect
13. #42907C2semidirect
14. #42906C2semidirect
15. #42666C2semidirect
16. #42653C2semidirect
17. #40738C2semidirect
18. #39784C2semidirect
19. #39695C2semidirect
20. #39560C2semidirect
21. #39506C2semidirect
22. #39470C2semidirect
23. #39213C2semidirect
24. #39194C2semidirect
25. #39125C2semidirect
26. #37636C2semidirect
27. #37621C2semidirect
28. #37523C2semidirect
29. #37514C2semidirect
30. #36492C2semidirect
31. #36456C2semidirect
32. #36210C2semidirect
33. #34976C2semidirect
34. #34724C2semidirect
35. #34715C2semidirect

Maximal subgroups

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

subgroupindex
#596552
#595922
#593902
#592452
#592342
#567112
#559592
#530722
#530612
#530532
#530462
#524772
#429072
#429062
#426662
#426532
#407382
#397842
#396952
#395602
#395062
#394702
#392132
#391942
#391252
#376362
#376212
#375232
#375142
#364922
#364562
#362102
#349762
#347242
#347152