Finite Group Databasebeta

← #7987515

Subgroups — #7987515

Order 512.

4849 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59829C212yesmaximal, complemented
2#59679C211yesmaximal, characteristic, complemented
3#59641C211yesmaximal, characteristic, complemented
4#59483C212yesmaximal, complemented
5#59437C211yesmaximal, characteristic, complemented
6#50789C214yesmaximal, complemented
7#50785C214yesmaximal, complemented
8#46077C214yesmaximal, complemented
9#45393C212yesmaximal, complemented
10#45312C212yesmaximal, complemented
11#45209C212yesmaximal, complemented
12#45200C212yesmaximal, complemented
13#42751C212yesmaximal, complemented
14#42705C212yesmaximal, complemented
15#42545C212yesmaximal, complemented
16#42528C212yesmaximal, complemented
17#40385C214yesmaximal, complemented
18#39770C211yesmaximal, characteristic, complemented
19#39746C211yesmaximal, characteristic, complemented
20#39745C211yesmaximal, characteristic
21#39741C212yesmaximal, complemented
22#39202C211yesmaximal, characteristic, complemented
23#39069C212yesmaximal, complemented
24#36595C211yesmaximal, characteristic, complemented
25#36583C211yesmaximal, characteristic, complemented
26#36495C212yesmaximal, complemented
27#36469C212yesmaximal, complemented
28#36271C211yesmaximal, characteristic, complemented
29#35219C212yesmaximal, complemented
30#35215C212yesmaximal, complemented
31#34951C211yesmaximal, characteristic, complemented
32#34902C211yesmaximal, characteristic, complemented
33#34494C211yesmaximal, characteristic, complemented
34#34488C211yesmaximal, characteristic, complemented
35C4×#559C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#559C2212yes—
38C2×#559C2212yes—
39C2×#557C2211yescharacteristic
40C2×#556C2212yes—
41C2×#550C2211yescharacteristic
42#2867C2211yescharacteristic
43#2860C2212yes—
44#2858C2211yescharacteristic
45#2858C2212yes—
46#2858C2211yescharacteristic
47#2854C2214yes—
48#2853C2214yes—
49#2852C2214yes—
50#2837C2214yes—
51#2829C2214yes—
52#2800C2214yes—
53#2797C2214yes—
54#2787C2214yes—
55#2756C2214yes—
56#2753C2214yes—
57#2753C2214yes—
58#2753C2214yes—
59#2752C2214yes—
60#2749C2214yes—
61#2748C2214yes—
62#2746C2214yes—
63#2746C2214yes—
64#2743C2214yes—
65#2741C2214yes—
66#2741C2214yes—
67#2741C2214yes—
68#2740C2214yes—
69#2730C2214yes—
70#2730C2214yes—
71#2718C2214yes—
72#2710C2214yes—
73#2709C2214yes—
74#2709C2214yes—
75#2706C2214yes—
76#2705C2214yes—
77#2705C2214yes—
78#2701C2214yes—
79#2701C2214yes—
80#2694C2214yes—
81#2694C2214yes—
82#2674C2214yes—
83#2673C2214yes—
84#2673C2214yes—
85#2658C2212yes—
86#2657C2212yes—
87#2653C2214yes—
88#2651C2214yes—
89#2649C2214yes—
90#2649C2214yes—
91#2648C2214yes—
92#2641C2212yes—
93#2630C2214yes—
94#2624C2212yes—
95#2602C2214yes—
96#2602C2214yes—
97#2601C2214yes—
98#2596C2212yes—
99#2594C2212yes—
100#2592C2211yescharacteristic
101#2592C2212yes—
102#2585C2212yes—
103#2585C2212yes—
104#2582C2211yescharacteristic
105#2581C2211yescharacteristic
106#2580C2212yes—
107#2578C2214yes—
108#2578C2214yes—
109#2578C2214yes—
110#2577C2214yes—
111#2576C2214yes—
112#2572C2214yes—
113#2570C2211yescharacteristic
114#2568C2211yescharacteristic
115#2566C2212yes—
116#2560C2214yes—
117#2559C2214yes—
118#2559C2214yes—
119#2557C2214yes—
120#2557C2214yes—
121#2554C2214yes—
122#2554C2214yes—
123#2553C2214yes—
124#2553C2214yes—
125#2552C2211yescharacteristic
126#2548C2212yes—
127#2548C2212yes—
128#2548C2212yes—
129#2548C2211yescharacteristic
130#2548C2211yescharacteristic
131#2548C2211yescharacteristic
132#2548C2212yes—
133#2548C2212yes—
134#2547C2212yes—
135#2547C2211yescharacteristic
136#2547C2212yes—
137#2547C2212yes—
138#2546C2211yescharacteristic
139#2546C2211yescharacteristic
140#2545C2212yes—
141#2545C2212yes—
142#2545C2212yes—
143#2545C2211yescharacteristic
144#2544C2212yes—
145#2544C2212yes—
146#2544C2212yes—
147#2544C2212yes—
148#2544C2212yes—
149#2544C2212yes—
150#2541C2212yes—
151#2541C2211yescharacteristic
152#2525C2212yes—
153#2521C2214yes—
154#2516C2214yes—
155#2514C2212yes—
156#2514C2211yescharacteristic
157#2513C2212yes—
158#2512C2211yescharacteristic
159#2512C2212yes—
160#2512C2212yes—
161#2512C2212yes—
162#2511C2212yes—
163#2510C2214yes—
164#2510C2214yes—
165#2509C2211yescharacteristic
166#2509C2211yescharacteristic
167#2501C2212yes—
168#2495C2212yes—
169#2494C2212yes—
170#2491C2214yes—
171#2491C2212yes—
172#2490C2212yes—
173#2490C2212yes—
174#2490C2214yes—
175#2490C2212yes—
176#2490C2214yes—
177#2488C2214yes—
178#2471C2214yes—
179#2471C2214yes—
180#2470C2214yes—
181#2469C2212yes—
182#2467C2214yes—
183#2467C2214yes—
184#2466C2214yes—
185#2466C2214yes—
186#2457C2214yes—
187#2455C2214yes—
188#2454C2212yes—
189#2454C2212yes—
190#2453C2211yescharacteristic
191#2453C2211yescharacteristic
192#2452C2212yes—
193#2448C2211yescharacteristic
194#2448C2212yes—
195#2448C2212yes—
196#2448C2212yes—
197#2448C2212yes—
198#2447C2212yes—
199#2447C2212yes—
200#2446C2212yes—
201#2446C2211yescharacteristic
202#2446C2212yes—
203#2445C2212yes—
204#2445C2212yes—
205#2445C2212yes—
206#2445C2212yes—
207#2445C2212yes—
208#2445C2212yes—
209#2445C2212yes—
210#2445C2212yes—
211#2445C2212yes—
212#2442C2212yes—
213#2431C2212yes—
214#2431C2212yes—
215#2428C2212yes—
216#2428C2212yes—
217#2422C2214yes—
218#2422C2212yes—
219#2420C2212yes—
220#2402C2212yes—
221#2402C2212yes—
222#2401C2212yes—
223#2396C2212yes—
224#2382C2214yes—
225#2377C2214yes—
226#2374C2214yes—
227#2370C2212yes—
228#2367C2212yes—
229#2367C2212yes—
230#2367C2212yes—
231#2367C2212yes—
232#2367C2212yes—
233#2366C2212yes—
234#2366C2211yescharacteristic
235#2366C2211yescharacteristic
236#2366C2212yes—
237#2366C2212yes—
238#2365C2211yescharacteristic
239#2365C2212yes—
240#2361C2212yes—
241#2361C2212yes—
242#2359C2214yes—
243#2357C2212yes—
244#2357C2212yes—
245#2357C2212yes—
246#2355C2211yescharacteristic
247#2355C2212yes—
248#2355C2211yescharacteristic
249#2351C2212yes—
250Q8×C4⋊C4C2211yescharacteristic
251#2349C2212yes—
252D4×C4⋊C4C2211yescharacteristic
253#2345C2212yes—
254#2341C2212yes—
255#2341C2212yes—
256#2339C2212yes—
257#2336C2214yes—
258#2330C2212yes—
259#2328C2212yes—
260#2328C2212yes—
261#2328C2212yes—
262#2327C2212yes—
263#2326C2212yes—
264#2325C2214yes—
265#2324C2212yes—
266#2324C2212yes—
267#2320C2212yes—
268#2320C2212yes—
269#2319C2212yes—
270#2311C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#125C2211yescharacteristic
279C4×#126C2212yes—
280C4×#124C2211yescharacteristic
281C4×#124C2212yes—
282C4×#124C2211yescharacteristic
283C4×#124C2212yes—
284C4×#124C2212yes—
285C4×#123C2214yes—
286C4×#121C2214yes—
287#2298C2212yes—
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2295C2211yescharacteristic
291#2295C2211yescharacteristic
292#2293C2211yescharacteristic
293#2293C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2212yes—
298C42×D4C2212yes—
299C22×#41C2312yes—
300#559—28no—
301#559—48no—
302#559—48no—
303#557—28no—
304#556—48no—
305#550—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2311yescharacteristic
329C2×#125C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#124C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
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×D4C2314yes—
393C2×#117C2312yes—
394C2×#117C2314yes—
395C22×C4⋊C4C2312yes—
396C22×C42C2314yes—
397#401C2314yes—
398#401C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2314yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2312yes—
413#399C2312yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2312yes—
432#398C2312yes—
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#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2312yes—
461#395C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2312yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2311yescharacteristic
512#391C2312yes—
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2314yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2314yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
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#386C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2312yes—
721#383C2312yes—
722#383C2314yes—
723#383C2314yes—
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#382C2312yes—
727#382C2311yescharacteristic
728#382C2311yescharacteristic
729#382C2314yes—
730#382C2314yes—
731#382C2312yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C4⋊Q8—28no—
849C4⋊Q8—24no—
850C4⋊Q8—42no—
851C4⋊Q8—42no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854#127—28no—
855#127—24no—
856#127—24no—
857#127—44no—
858#127—44no—
859#127—44no—
860#127—44no—
861#127—44no—
862#127—44no—
863#127—82no—
864#126—48no—
865#126—44no—
866#126—48no—
867#126—84no—
868#125—28no—
869#125—216no—
870#125—42no—
871#125—42no—
872#124—28no—
873#124—28no—
874#124—28no—
875#124—24no—
876#124—44no—
877#124—44no—
878#124—44no—
879#124—44no—
880#124—42no—
881#124—44no—
882#124—44no—
883#124—44no—
884#124—48no—
885#124—48no—
886#123—216no—
887#123—48no—
888#123—48no—
889#123—48no—
890#123—48no—
891#123—48no—
892#123—84no—
893#123—84no—
894C22⋊Q8—48no—
895#121—28no—
896#121—216no—
897#121—48no—
898#121—44no—
899#121—44no—
900#121—84no—
901C4×Q8—28no—
902C4×Q8—28no—
903C4×Q8—24no—
904C4×Q8—24no—
905C4×Q8—24no—
906C4×Q8—28no—
907C4×Q8—24no—
908C4×Q8—42no—
909C4×Q8—42no—
910C4×Q8—42no—
911C4×Q8—42no—
912C4×Q8—42no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×Q8#4118yes—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—48no—
931C4×D4—48no—
932C4×D4—84no—
933C4×D4—82no—
934C4×D4—82no—
935#117—44no—
936#117—48no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C42—84no—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2414yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2411yescharacteristic
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173C24C2514yes—
1174C24C2514yes—
1175C24C2512yes—
1176#41—816no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—41no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8C2×#4114yes—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—28no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—28no—
1244C22×C4—28no—
1245C22×C4—28no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2514yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—28no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—41no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4C2×#4114yes—
1363C4⋊C4C2×#4118yes—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
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—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C42—24no—
1419C42—28no—
1420C42—24no—
1421C42—24no—
1422C42—22no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—22no—
1427C42—24no—
1428C42—22no—
1429C42—22no—
1430C42—24no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—42no—
1439C42—42no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42—44no—
1444C42—44no—
1445C42—41no—
1446C42—41no—
1447C42—42no—
1448C42—42no—
1449C42—41no—
1450C42—41no—
1451C42—42no—
1452C42—42no—
1453C42—41no—
1454C42—42no—
1455C42C2×#4118yes—
1456C42C2×#4114yes—
1457C42H(5,𝔽2)14yes—
1458C23—24no—
1459C23—22no—
1460C23—24no—
1461C23—24no—
1462C23—22no—
1463C23—24no—
1464C23—22no—
1465C23—22no—
1466C23—24no—
1467C23—24no—
1468C23—22no—
1469C23—24no—
1470C23—24no—
1471C23—24no—
1472C23—24no—
1473C23—24no—
1474C23—24no—
1475C23—22no—
1476C23—24no—
1477C23—22no—
1478C23—24no—
1479C23C2611yescharacteristic
1480Q8—28no—
1481Q8—44no—
1482Q8—44no—
1483Q8—44no—
1484Q8—48no—
1485Q8—84no—
1486D4—48no—
1487D4—48no—
1488D4—48no—
1489D4—48no—
1490D4—44no—
1491D4—88no—
1492D4—88no—
1493D4—84no—
1494D4—84no—
1495D4—88no—
1496D4—88no—
1497D4—164no—
1498D4—164no—
1499D4—164no—
1500D4—164no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—48no—
1586C2×C4—88no—
1587C2×C4—88no—
1588C2×C4—88no—
1589C2×C4—88no—
1590C2×C4—88no—
1591C2×C4—164no—
1592C2×C4—164no—
1593C2×C4C22×#4114yes—
1594C2×C4C22×#4114yes—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4112yes—
1598C2×C4C2×H(5,𝔽2)12yes—
1599C2×C4C2×H(5,𝔽2)12yes—
1600C2×C4C2×H(5,𝔽2)12yes—
1601C2×C4#58512yes—
1602C2×C4#58512yes—
1603C2×C4#58512yes—
1604C2×C4#58512yes—
1605C22—44no—
1606C22—44no—
1607C22—42no—
1608C22—44no—
1609C22—42no—
1610C22—44no—
1611C22—44no—
1612C22—44no—
1613C22—42no—
1614C22—44no—
1615C22—44no—
1616C22—42no—
1617C22—42no—
1618C22—44no—
1619C22—44no—
1620C22—44no—
1621C22—42no—
1622C22—44no—
1623C22—44no—
1624C22—44no—
1625C22—42no—
1626C22C23×#4111yescharacteristic
1627C22C22×H(5,𝔽2)11yescharacteristic
1628C22C2×#58511yescharacteristic
1629C22C2×#58511yescharacteristic
1630C22C2×#58511yescharacteristic
1631C22C2×#58511yescharacteristic
1632C22H(7,𝔽2)11yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—24no—
1636C4—22no—
1637C4—24no—
1638C4—22no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—41no—
1643C4—42no—
1644C4—42no—
1645C4—41no—
1646C4—42no—
1647C4—41no—
1648C4—41no—
1649C4—42no—
1650C4—42no—
1651C4—44no—
1652C4—42no—
1653C4—44no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—42no—
1661C4—42no—
1662C4—41no—
1663C4#351014yes—
1664C4#351714yes—
1665C2—84no—
1666C2—84no—
1667C2—82no—
1668C2#6274811yescharacteristic
1669C2C2×#351711yescharacteristic
1670C2C2×#351011yescharacteristic
1671C2#6296111yescharacteristic
1672C2#6296911yescharacteristic
1673C2#6301011yescharacteristic
1674C2#6303611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39745C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59829C2semidirect
2. #59679C2semidirect
3. #59641C2semidirect
4. #59483C2semidirect
5. #59437C2semidirect
6. #50789C2semidirect
7. #50785C2semidirect
8. #46077C2semidirect
9. #45393C2semidirect
10. #45312C2semidirect
11. #45209C2semidirect
12. #45200C2semidirect
13. #42751C2semidirect
14. #42705C2semidirect
15. #42545C2semidirect
16. #42528C2semidirect
17. #40385C2semidirect
18. #39770C2semidirect
19. #39746C2semidirect
21. #39741C2semidirect
22. #39202C2semidirect
23. #39069C2semidirect
24. #36595C2semidirect
25. #36583C2semidirect
26. #36495C2semidirect
27. #36469C2semidirect
28. #36271C2semidirect
29. #35219C2semidirect
30. #35215C2semidirect
31. #34951C2semidirect
32. #34902C2semidirect
33. #34494C2semidirect
34. #34488C2semidirect
35. C4×#559C2semidirect

Maximal subgroups

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

subgroupindex
#598292
#596792
#596412
#594832
#594372
#507892
#507852
#460772
#453932
#453122
#452092
#452002
#427512
#427052
#425452
#425282
#403852
#397702
#397462
#397452
#397412
#392022
#390692
#365952
#365832
#364952
#364692
#362712
#352192
#352152
#349512
#349022
#344942
#344882
C4×#5592