Finite Group Databasebeta

← #7658093

Subgroups — #7658093

Order 512.

4580 conjugacy classes of subgroups.

The subgroup lattice has 1642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42925C212yesmaximal, complemented
2#42924C212yesmaximal, complemented
3#42457C212yesmaximal, complemented
4#42455C212yesmaximal, complemented
5#42048C214yesmaximal, complemented
6#42047C214yesmaximal, complemented
7#41645C214yesmaximal, complemented
8#41633C214yesmaximal, complemented
9#39762C211yesmaximal, characteristic, complemented
10#39761C211yesmaximal, characteristic, complemented
11#39554C212yesmaximal, complemented
12#39553C212yesmaximal, complemented
13#39506C211yesmaximal, characteristic, complemented
14#39505C211yesmaximal, characteristic, complemented
15#37758C212yesmaximal, complemented
16#37757C212yesmaximal, complemented
17#37622C211yesmaximal, characteristic, complemented
18#37620C211yesmaximal, characteristic
19#37598C212yesmaximal, complemented
20#37588C212yesmaximal, complemented
21#36563C211yesmaximal, characteristic, complemented
22#36555C211yesmaximal, characteristic, complemented
23#36134C211yesmaximal, characteristic, complemented
24#36114C211yesmaximal, characteristic, complemented
25#35993C212yesmaximal, complemented
26#35989C212yesmaximal, complemented
27#35843C212yesmaximal, complemented
28#35838C212yesmaximal, complemented
29#35282C212yesmaximal, complemented
30#35275C211yesmaximal, characteristic, complemented
31#34631C211yesmaximal, characteristic, complemented
32#34631C212yesmaximal, complemented
33#34242C211yesmaximal, characteristic, complemented
34#34214C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic, complemented
36C2×#544C2212yes—
37C2×#533C2211yescharacteristic
38C2×#533C2212yes—
39C2×#529C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×#529C2212yes—
42#2868C2211yescharacteristic
43#2868C2211yescharacteristic
44#2864C2212yes—
45#2859C2211yescharacteristic
46#2859C2211yescharacteristic
47#2859C2212yes—
48#2857C2212yes—
49#2851C2212yes—
50#2839C2214yes—
51#2838C2214yes—
52#2838C2214yes—
53#2837C2214yes—
54#2823C2214yes—
55#2814C2214yes—
56#2802C2214yes—
57#2801C2214yes—
58#2796C2214yes—
59#2795C2214yes—
60#2793C2214yes—
61#2787C2214yes—
62#2783C2214yes—
63#2783C2214yes—
64#2777C2214yes—
65#2776C2214yes—
66#2776C2214yes—
67#2757C2214yes—
68#2731C2214yes—
69#2729C2214yes—
70#2728C2214yes—
71#2725C2214yes—
72#2725C2214yes—
73#2723C2214yes—
74#2719C2214yes—
75#2716C2214yes—
76#2711C2214yes—
77#2690C2214yes—
78#2681C2214yes—
79#2674C2214yes—
80#2666C2214yes—
81#2665C2214yes—
82#2664C2212yes—
83#2664C2214yes—
84#2664C2214yes—
85#2664C2212yes—
86#2664C2214yes—
87#2663C2214yes—
88#2663C2212yes—
89#2663C2214yes—
90#2663C2212yes—
91#2660C2212yes—
92#2660C2211yescharacteristic
93#2660C2212yes—
94#2658C2211yescharacteristic
95#2655C2214yes—
96#2654C2214yes—
97#2653C2214yes—
98#2650C2214yes—
99#2642C2212yes—
100#2642C2211yescharacteristic
101#2640C2212yes—
102#2640C2211yescharacteristic
103#2637C2214yes—
104#2632C2214yes—
105#2629C2212yes—
106#2629C2212yes—
107#2628C2212yes—
108#2625C2212yes—
109#2624C2212yes—
110#2621C2212yes—
111#2621C2211yescharacteristic
112#2621C2211yescharacteristic
113#2621C2212yes—
114#2620C2212yes—
115#2620C2211yescharacteristic
116#2620C2211yescharacteristic
117#2620C2212yes—
118#2620C2212yes—
119#2618C2214yes—
120#2608C2214yes—
121#2597C2214yes—
122#2594C2214yes—
123#2592C2212yes—
124#2590C2214yes—
125#2587C2214yes—
126#2586C2214yes—
127#2585C2214yes—
128#2584C2212yes—
129#2582C2211yescharacteristic
130#2582C2211yescharacteristic
131#2582C2211yescharacteristic
132#2577C2214yes—
133#2576C2214yes—
134#2574C2214yes—
135#2567C2212yes—
136#2559C2214yes—
137#2556C2214yes—
138#2552C2212yes—
139#2552C2212yes—
140#2552C2212yes—
141#2552C2212yes—
142#2551C2212yes—
143#2551C2212yes—
144#2550C2214yes—
145#2542C2212yes—
146#2538C2211yescharacteristic
147#2538C2211yescharacteristic
148#2538C2211yescharacteristic
149#2538C2211yescharacteristic
150#2537C2211yescharacteristic
151#2525C2214yes—
152#2522C2214yes—
153#2522C2214yes—
154#2521C2214yes—
155#2520C2214yes—
156#2520C2214yes—
157#2518C2214yes—
158#2515C2214yes—
159#2514C2212yes—
160#2514C2212yes—
161#2514C2212yes—
162#2514C2212yes—
163#2513C2212yes—
164#2513C2212yes—
165#2512C2212yes—
166#2511C2212yes—
167#2509C2212yes—
168#2509C2212yes—
169#2508C2212yes—
170#2508C2212yes—
171#2507C2214yes—
172#2500C2212yes—
173#2499C2212yes—
174#2497C2212yes—
175#2497C2212yes—
176#2496C2212yes—
177#2496C2212yes—
178#2492C2212yes—
179#2492C2212yes—
180#2491C2212yes—
181#2491C2212yes—
182#2489C2212yes—
183#2489C2212yes—
184#2477C2214yes—
185#2477C2214yes—
186#2475C2214yes—
187#2470C2214yes—
188#2466C2214yes—
189#2465C2214yes—
190#2462C2214yes—
191#2460C2214yes—
192#2454C2212yes—
193#2453C2212yes—
194#2451C2212yes—
195#2451C2212yes—
196#2446C2214yes—
197#2441C2214yes—
198#2440C2212yes—
199#2440C2212yes—
200#2440C2212yes—
201#2440C2212yes—
202#2439C2214yes—
203#2439C2212yes—
204#2439C2212yes—
205#2429C2214yes—
206#2427C2214yes—
207#2423C2212yes—
208#2423C2212yes—
209#2423C2212yes—
210#2422C2212yes—
211#2421C2212yes—
212#2421C2214yes—
213#2420C2212yes—
214#2417C2212yes—
215#2417C2212yes—
216#2416C2212yes—
217#2416C2212yes—
218#2415C2212yes—
219#2415C2212yes—
220#2396C2214yes—
221#2396C2212yes—
222#2396C2214yes—
223#2396C2212yes—
224#2395C2214yes—
225#2395C2212yes—
226#2395C2212yes—
227#2395C2214yes—
228#2374C2212yes—
229#2374C2212yes—
230#2373C2212yes—
231#2373C2214yes—
232#2373C2212yes—
233#2370C2211yescharacteristic
234#2370C2211yescharacteristic
235#2369C2212yes—
236#2367C2211yescharacteristic
237#2367C2211yescharacteristic
238#2365C2212yes—
239#2363C2211yescharacteristic
240#2363C2211yescharacteristic
241#2363C2212yes—
242#2362C2211yescharacteristic
243#2362C2211yescharacteristic
244#2362C2212yes—
245#2361C2212yes—
246#2360C2212yes—
247#2360C2212yes—
248#2360C2212yes—
249#2360C2214yes—
250#2355C2212yes—
251#2355C2211yescharacteristic
252#2355C2211yescharacteristic
253#2355C2211yescharacteristic
254#2355C2212yes—
255#2354C2212yes—
256#2354C2211yescharacteristic
257#2354C2212yes—
258#2352C2212yes—
259Q8×C4⋊C4C2211yescharacteristic
260Q8×C4⋊C4C2211yescharacteristic
261Q8×C4⋊C4C2211yescharacteristic
262Q8×C4⋊C4C2212yes—
263D4×C4⋊C4C2211yescharacteristic
264#2345C2212yes—
265#2344C2212yes—
266#2335C2214yes—
267#2331C2212yes—
268#2330C2214yes—
269#2330C2212yes—
270#2317C2212yes—
271#2317C2212yes—
272#2314C2212yes—
273#2314C2212yes—
274#2314C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2212yes—
278C4×C4⋊Q8C2212yes—
279C4×C4⋊Q8C2212yes—
280C4×#125C2212yes—
281C4×#124C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×#124C2212yes—
284C4×#124C2212yes—
285#2298C2212yes—
286#2295C2211yescharacteristic
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2290C2212yes—
290#2285C2211yescharacteristic
291C2×#384C2211yescharacteristic
292#2274C2212yes—
293#2274C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299#544—48no—
300#533—28no—
301#533—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313#529—28no—
314#529—28no—
315#529—48no—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#124C2311yescharacteristic
329C2×#124C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×#124C2311yescharacteristic
332C2×#124C2314yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2314yes—
365C2×C4×Q8C2314yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2314yes—
384C2×#117C2312yes—
385C2×#117C2314yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C42C2312yes—
391C22×C42C2311yescharacteristic
392#401C2314yes—
393#401C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2312yes—
417#399C2312yes—
418#399C2312yes—
419#399C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2312yes—
443#398C2312yes—
444#398C2312yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2312yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2312yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2312yes—
489#395C2314yes—
490#395C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2312yes—
509#393C2312yes—
510#393C2314yes—
511#393C2314yes—
512#391C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2314yes—
526#391C2314yes—
527#391C2314yes—
528#391C2312yes—
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#391C2311yescharacteristic
533#391C2314yes—
534#391C2314yes—
535#391C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#383C2314yes—
713#383C2314yes—
714#382C2312yes—
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2314yes—
722#382C2311yescharacteristic
723#382C2314yes—
724#382C2314yes—
725#381C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2311yescharacteristic
811#376C2311yescharacteristic
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2414yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2414yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2414yes—
836C23×C4C2411yescharacteristic
837C4⋊Q8—24no—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—28no—
841C4⋊Q8—24no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845C4⋊Q8—48no—
846C4⋊Q8—82no—
847C4⋊Q8—82no—
848#126—28no—
849#126—28no—
850#126—48no—
851#126—84no—
852#125—24no—
853#125—24no—
854#125—28no—
855#125—28no—
856#125—48no—
857#125—44no—
858#125—48no—
859#125—84no—
860#124—24no—
861#124—24no—
862#124—24no—
863#124—24no—
864#124—84no—
865#123—28no—
866#123—28no—
867#123—48no—
868C22⋊Q8—24no—
869C22⋊Q8—24no—
870C22⋊Q8—24no—
871C22⋊Q8—24no—
872C22⋊Q8—28no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—48no—
880C22⋊Q8—84no—
881#121—24no—
882#121—24no—
883#121—44no—
884#121—44no—
885#121—84no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—28no—
890C4×Q8—24no—
891C4×Q8—24no—
892C4×Q8—42no—
893C4×Q8—44no—
894C4×Q8—48no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—84no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—42no—
904C4×D4—44no—
905C4×D4—48no—
906#117—28no—
907#117—24no—
908#117—28no—
909#117—28no—
910#117—24no—
911#117—24no—
912#117—28no—
913#117—48no—
914#117—42no—
915#117—44no—
916#117—48no—
917#117—44no—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—82no—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C42—28no—
1051C2×C42#4118yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2414yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092#95C2412yes—
1093#95C2412yes—
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166C24C2512yes—
1167C24C2512yes—
1168C24C2511yescharacteristic
1169C2×Q8—22no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—28no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—44no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—44no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—28no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—42no—
1222C22×C4—44no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4C2×#4114yes—
1230C22×C4C2×#4114yes—
1231C22×C4C2×#4114yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2514yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2514yes—
1251C22×C4C2514yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—28no—
1293C4⋊C4—28no—
1294C4⋊C4—28no—
1295C4⋊C4—24no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C42−1+414yes—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C42—24no—
1393C42—24no—
1394C42—24no—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—22no—
1400C42—24no—
1401C42—24no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—24no—
1406C42—22no—
1407C42—22no—
1408C42—41no—
1409C42—42no—
1410C42—41no—
1411C42—42no—
1412C42—44no—
1413C42—42no—
1414C42—44no—
1415C42—44no—
1416C42—44no—
1417C42—44no—
1418C42—44no—
1419C42—42no—
1420C42—42no—
1421C42—44no—
1422C42—44no—
1423C42—42no—
1424C42—41no—
1425C42—41no—
1426C42C2×#4114yes—
1427C42C2×#4114yes—
1428C42C2×#4114yes—
1429C42C2×#4114yes—
1430C42H(5,𝔽2)14yes—
1431C422−1+414yes—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23C22×#4112yes—
1453C23C2611yescharacteristic
1454Q8—48no—
1455Q8—44no—
1456Q8—44no—
1457Q8—44no—
1458Q8—44no—
1459Q8—88no—
1460Q8—164no—
1461D4—44no—
1462D4—44no—
1463D4—84no—
1464D4—84no—
1465D4—88no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—28no—
1485C2×C4—28no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—44no—
1550C2×C4—48no—
1551C2×C4—48no—
1552C2×C4—48no—
1553C2×C4—88no—
1554C2×C4—84no—
1555C2×C4—164no—
1556C2×C4C22×#4112yes—
1557C2×C4C22×#4112yes—
1558C2×C4C22×#4112yes—
1559C2×C4C22×#4112yes—
1560C2×C4C22×#4112yes—
1561C2×C4C22×#4112yes—
1562C2×C4C2×H(5,𝔽2)12yes—
1563C2×C4C2×H(5,𝔽2)12yes—
1564C2×C4C2×H(5,𝔽2)12yes—
1565C2×C4C2×2−1+414yes—
1566C2×C4C2×2−1+412yes—
1567C2×C4C2×2−1+412yes—
1568C2×C4C2×2−1+412yes—
1569C2×C4C2×2−1+412yes—
1570C2×C4#58512yes—
1571C22—22no—
1572C22—22no—
1573C22—22no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22C23×#4111yescharacteristic
1593C22C22×H(5,𝔽2)11yescharacteristic
1594C22C22×2−1+411yescharacteristic
1595C22C22×2−1+411yescharacteristic
1596C22C2×#58511yescharacteristic
1597C22H(7,𝔽2)11yescharacteristic
1598C222−1+611yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—22no—
1603C4—22no—
1604C4—24no—
1605C4—22no—
1606C4—22no—
1607C4—22no—
1608C4—42no—
1609C4—42no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C4—42no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—41no—
1619C4—44no—
1620C4—41no—
1621C4—42no—
1622C4—42no—
1623C4—44no—
1624C4—44no—
1625C4—44no—
1626C4—41no—
1627C4—41no—
1628C4—42no—
1629C4#346114yes—
1630C4#351114yes—
1631C2—42no—
1632C2—82no—
1633C2—82no—
1634C2C2×#346111yescharacteristic
1635C2C2×#351111yescharacteristic
1636C2#6285611yescharacteristic
1637C2#6294211yescharacteristic
1638C2#6294311yescharacteristic
1639C2#6295511yescharacteristic
1640C2#6295611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#37620C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42925C2semidirect
2. #42924C2semidirect
3. #42457C2semidirect
4. #42455C2semidirect
5. #42048C2semidirect
6. #42047C2semidirect
7. #41645C2semidirect
8. #41633C2semidirect
9. #39762C2semidirect
10. #39761C2semidirect
11. #39554C2semidirect
12. #39553C2semidirect
13. #39506C2semidirect
14. #39505C2semidirect
15. #37758C2semidirect
16. #37757C2semidirect
17. #37622C2semidirect
19. #37598C2semidirect
20. #37588C2semidirect
21. #36563C2semidirect
22. #36555C2semidirect
23. #36134C2semidirect
24. #36114C2semidirect
25. #35993C2semidirect
26. #35989C2semidirect
27. #35843C2semidirect
28. #35838C2semidirect
29. #35282C2semidirect
30. #35275C2semidirect
31. #34631C2semidirect
32. #34631C2semidirect
33. #34242C2semidirect
34. #34214C2semidirect
35. #34151C2semidirect

Maximal subgroups

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

subgroupindex
#429252
#429242
#424572
#424552
#420482
#420472
#416452
#416332
#397622
#397612
#395542
#395532
#395062
#395052
#377582
#377572
#376222
#376202
#375982
#375882
#365632
#365552
#361342
#361142
#359932
#359892
#358432
#358382
#352822
#352752
#346312
#342422
#342142
#341512