Finite Group Databasebeta

← #7654407

Subgroups — #7654407

Order 512.

4829 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42907C212yesmaximal, complemented
2#42871C212yesmaximal, complemented
3#41503C214yesmaximal, complemented
4#40805C214yesmaximal, complemented
5#40129C212yesmaximal, complemented
6#39735C211yesmaximal, characteristic, complemented
7#39730C212yesmaximal, complemented
8#39505C211yesmaximal, characteristic, complemented
9#39500C212yesmaximal, complemented
10#39480C211yesmaximal, characteristic, complemented
11#39474C212yesmaximal, complemented
12#39249C212yesmaximal, complemented
13#39201C211yesmaximal, characteristic, complemented
14#39196C212yesmaximal, complemented
15#38531C214yesmaximal, complemented
16#37743C214yesmaximal, complemented
17#37626C211yesmaximal, characteristic, complemented
18#37570C212yesmaximal, complemented
19#36598C211yesmaximal, characteristic, complemented
20#36496C211yesmaximal, characteristic, complemented
21#36493C211yesmaximal, characteristic, complemented
22#36492C211yesmaximal, characteristic, complemented
23#36252C212yesmaximal, complemented
24#36113C212yesmaximal, complemented
25#35800C212yesmaximal, complemented
26#35785C212yesmaximal, complemented
27#35277C211yesmaximal, characteristic, complemented
28#35218C212yesmaximal, complemented
29#35185C211yesmaximal, characteristic, complemented
30#35137C212yesmaximal, complemented
31#34974C211yesmaximal, characteristic, complemented
32#34914C212yesmaximal, complemented
33#34317C211yesmaximal, characteristic, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#542C2212yes—
39C2×#529C2214yes—
40C2×C4×#41C2211yescharacteristic
41#2868C2211yescharacteristic
42#2864C2212yes—
43#2862C2212yes—
44#2861C2212yes—
45#2860C2212yes—
46#2858C2211yescharacteristic
47#2857C2211yescharacteristic
48#2856C2211yescharacteristic
49#2853C2214yes—
50#2852C2214yes—
51#2851C2212yes—
52#2850C2212yes—
53#2837C2214yes—
54#2828C2214yes—
55#2828C2214yes—
56#2808C2214yes—
57#2808C2214yes—
58#2807C2214yes—
59#2803C2214yes—
60#2798C2214yes—
61#2795C2214yes—
62#2795C2214yes—
63#2793C2214yes—
64#2781C2214yes—
65#2779C2214yes—
66#2778C2214yes—
67#2762C2214yes—
68#2756C2214yes—
69#2753C2214yes—
70#2733C2214yes—
71#2733C2214yes—
72#2731C2214yes—
73#2721C2214yes—
74#2718C2214yes—
75#2712C2214yes—
76#2710C2214yes—
77#2710C2214yes—
78#2703C2214yes—
79#2690C2214yes—
80#2661C2214yes—
81#2653C2214yes—
82#2652C2214yes—
83#2650C2214yes—
84#2650C2214yes—
85#2649C2214yes—
86#2648C2214yes—
87#2648C2214yes—
88#2648C2214yes—
89#2640C2212yes—
90#2635C2214yes—
91#2625C2212yes—
92#2624C2212yes—
93#2624C2212yes—
94#2624C2212yes—
95#2620C2212yes—
96#2620C2212yes—
97#2619C2212yes—
98#2619C2212yes—
99#2619C2212yes—
100#2597C2214yes—
101#2595C2214yes—
102#2595C2214yes—
103#2593C2214yes—
104#2582C2212yes—
105#2580C2212yes—
106#2576C2214yes—
107#2575C2214yes—
108#2573C2214yes—
109#2571C2211yescharacteristic
110#2571C2211yescharacteristic
111#2570C2212yes—
112#2570C2212yes—
113#2570C2212yes—
114#2568C2212yes—
115#2567C2211yescharacteristic
116#2566C2212yes—
117#2563C2211yescharacteristic
118#2562C2212yes—
119#2560C2214yes—
120#2559C2214yes—
121#2558C2214yes—
122#2557C2214yes—
123#2554C2214yes—
124#2548C2212yes—
125#2544C2212yes—
126#2541C2211yescharacteristic
127#2541C2211yescharacteristic
128#2540C2212yes—
129#2538C2211yescharacteristic
130#2537C2211yescharacteristic
131#2535C2212yes—
132#2535C2212yes—
133#2535C2212yes—
134#2532C2214yes—
135#2532C2212yes—
136#2529C2212yes—
137#2527C2214yes—
138#2518C2214yes—
139#2517C2214yes—
140#2514C2212yes—
141#2513C2212yes—
142#2513C2212yes—
143#2513C2212yes—
144#2512C2212yes—
145#2512C2211yescharacteristic
146#2512C2212yes—
147#2511C2214yes—
148#2509C2212yes—
149#2508C2211yescharacteristic
150#2506C2212yes—
151#2506C2212yes—
152#2500C2212yes—
153#2500C2212yes—
154#2497C2212yes—
155#2496C2212yes—
156#2495C2212yes—
157#2495C2211yescharacteristic
158#2494C2212yes—
159#2492C2212yes—
160#2491C2212yes—
161#2491C2212yes—
162#2491C2212yes—
163#2491C2211yescharacteristic
164#2491C2212yes—
165#2491C2212yes—
166#2479C2212yes—
167#2477C2214yes—
168#2477C2214yes—
169#2476C2214yes—
170#2474C2214yes—
171#2474C2212yes—
172#2471C2214yes—
173#2471C2214yes—
174#2469C2214yes—
175#2468C2214yes—
176#2467C2214yes—
177#2463C2214yes—
178#2461C2214yes—
179#2461C2214yes—
180#2460C2214yes—
181#2459C2214yes—
182#2459C2214yes—
183#2459C2214yes—
184#2459C2214yes—
185#2458C2214yes—
186#2457C2214yes—
187#2456C2214yes—
188#2452C2212yes—
189#2452C2212yes—
190#2451C2211yescharacteristic
191#2448C2214yes—
192#2448C2211yescharacteristic
193#2448C2212yes—
194#2446C2214yes—
195#2445C2212yes—
196#2445C2212yes—
197#2439C2212yes—
198#2431C2212yes—
199#2428C2212yes—
200#2428C2212yes—
201#2426C2212yes—
202#2426C2212yes—
203#2426C2211yescharacteristic
204#2423C2211yescharacteristic
205#2422C2212yes—
206#2422C2212yes—
207#2422C2212yes—
208#2422C2212yes—
209#2421C2212yes—
210#2421C2212yes—
211#2420C2212yes—
212#2420C2212yes—
213#2414C2212yes—
214#2407C2212yes—
215#2398C2214yes—
216#2396C2212yes—
217#2395C2212yes—
218#2392C2214yes—
219#2374C2214yes—
220#2370C2212yes—
221#2369C2211yescharacteristic
222#2367C2212yes—
223#2367C2212yes—
224#2366C2212yes—
225#2366C2211yescharacteristic
226#2365C2212yes—
227#2363C2212yes—
228#2362C2212yes—
229#2362C2214yes—
230#2361C2212yes—
231#2361C2212yes—
232#2361C2212yes—
233#2357C2212yes—
234#2357C2212yes—
235#2357C2212yes—
236#2355C2211yescharacteristic
237#2355C2211yescharacteristic
238#2355C2211yescharacteristic
239#2355C2212yes—
240#2354C2211yescharacteristic
241#2354C2211yescharacteristic
242#2354C2212yes—
243#2354C2212yes—
244#2354C2211yescharacteristic
245#2352C2212yes—
246Q8×C4⋊C4C2211yescharacteristic
247Q8×C4⋊C4C2211yescharacteristic
248#2346C2212yes—
249#2346C2212yes—
250#2346C2211yescharacteristic
251#2346C2211yescharacteristic
252#2344C2212yes—
253#2341C2211yescharacteristic
254#2341C2211yescharacteristic
255#2337C2214yes—
256#2332C2214yes—
257#2332C2214yes—
258#2326C2212yes—
259#2324C2212yes—
260#2324C2212yes—
261#2323C2212yes—
262#2323C2212yes—
263#2314C2212yes—
264#2314C2212yes—
265#2314C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×#127C2212yes—
270C4×#127C2211yescharacteristic
271C4×#125C2212yes—
272C4×#126C2212yes—
273C4×#124C2212yes—
274C4×#124C2212yes—
275C4×#124C2211yescharacteristic
276C4×#124C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×#123C2214yes—
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2211yescharacteristic
282#2293C2212yes—
283#2293C2211yescharacteristic
284#2293C2212yes—
285#2293C2211yescharacteristic
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2290C2214yes—
289#2285C2212yes—
290#2285C2211yescharacteristic
291#2274C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2212yes—
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#559—28no—
301#554—28no—
302#542—48no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×#127C2311yescharacteristic
309C2×#127C2312yes—
310C2×#127C2312yes—
311#529—416no—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2314yes—
321C2×#124C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C4×#41—28no—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2314yes—
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C42C2312yes—
392C22×C42C2311yescharacteristic
393C22×C42C2314yes—
394#401C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2312yes—
412#399C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#398C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2312yes—
436#397C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2314yes—
446#395C2314yes—
447#395C2312yes—
448#394C2314yes—
449#394C2314yes—
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2312yes—
479#393C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2314yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#391C2314yes—
505#391C2314yes—
506#391C2312yes—
507#390C2314yes—
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2312yes—
525#390C2314yes—
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2311yescharacteristic
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2312yes—
704#383C2312yes—
705#383C2314yes—
706#382C2312yes—
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2314yes—
806#376C2311yescharacteristic
807#376C2311yescharacteristic
808#376C2312yes—
809#376C2312yes—
810C43C2312yes—
811C43C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C2×#41—24no—
816C2×#41—42no—
817C2×#41—42no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C4⋊Q8—24no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850C4⋊Q8—42no—
851C4⋊Q8—44no—
852#127—24no—
853#127—44no—
854#127—44no—
855#126—28no—
856#126—48no—
857#126—48no—
858#125—28no—
859#125—48no—
860#124—28no—
861#124—28no—
862#124—44no—
863#124—44no—
864#124—42no—
865#124—44no—
866#124—48no—
867#124—48no—
868#124—48no—
869#123—216no—
870#123—48no—
871#123—48no—
872#123—48no—
873C22⋊Q8—28no—
874C22⋊Q8—216no—
875C22⋊Q8—216no—
876C22⋊Q8—44no—
877C22⋊Q8—42no—
878C22⋊Q8—44no—
879#121—48no—
880#121—44no—
881#121—44no—
882#121—44no—
883#121—44no—
884#121—44no—
885#121—44no—
886#121—42no—
887#121—44no—
888#121—44no—
889#121—44no—
890C4×Q8—24no—
891C4×Q8—24no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—42no—
895C4×Q8—42no—
896C4×Q8—42no—
897C4×Q8—42no—
898C4×Q8—42no—
899C4×Q8—42no—
900C4×Q8—48no—
901C4×Q8#4118yes—
902C4×D4—24no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—24no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—48no—
911C4×D4—48no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—48no—
919C4×D4—48no—
920#117—24no—
921#117—28no—
922#117—28no—
923#117—24no—
924#117—44no—
925#117—44no—
926#117—44no—
927#117—44no—
928#117—44no—
929#117—42no—
930#117—48no—
931#117—44no—
932C2×C4⋊C4—28no—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C42—28no—
1060C2×C42—24no—
1061C2×C42—48no—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2411yescharacteristic
1110#95C2412yes—
1111#95C2411yescharacteristic
1112#95C2412yes—
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2412yes—
1116#95C2412yes—
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170C24C2512yes—
1171C24C2514yes—
1172C24C2511yescharacteristic
1173C24C2512yes—
1174#41—416no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—28no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—44no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8C2×#4114yes—
1190C2×D4—22no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—42no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—42no—
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—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—28no—
1247C22×C4—28no—
1248C22×C4—28no—
1249C22×C4—42no—
1250C22×C4—41no—
1251C22×C4—42no—
1252C22×C4—42no—
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×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2514yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—28no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—41no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4C2×#4114yes—
1355C4⋊C4C2×#4118yes—
1356C4⋊C4H(5,𝔽2)14yes—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—22no—
1367C22⋊C4—24no—
1368C22⋊C4—22no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—22no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—41no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
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—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C42—22no—
1420C42—24no—
1421C42—22no—
1422C42—24no—
1423C42—22no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—22no—
1429C42—22no—
1430C42—24no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—44no—
1445C42—44no—
1446C42—42no—
1447C42—41no—
1448C42—44no—
1449C42—44no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—42no—
1454C42—42no—
1455C42—42no—
1456C42—44no—
1457C42—44no—
1458C42—42no—
1459C42C2×#4118yes—
1460C42C2×#4114yes—
1461C23—22no—
1462C23—24no—
1463C23—21no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—21no—
1468C23—24no—
1469C23—21no—
1470C23—22no—
1471C23—24no—
1472C23—22no—
1473C23—21no—
1474C23—22no—
1475C23—22no—
1476C23—24no—
1477C23—24no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—21no—
1482C23—22no—
1483C23—24no—
1484C23—24no—
1485C23—22no—
1486C23—21no—
1487C23—21no—
1488C23—22no—
1489C23C2611yescharacteristic
1490Q8—28no—
1491Q8—44no—
1492Q8—88no—
1493Q8—84no—
1494Q8—84no—
1495D4—48no—
1496D4—48no—
1497D4—44no—
1498D4—44no—
1499D4—48no—
1500D4—84no—
1501D4—88no—
1502D4—88no—
1503D4—88no—
1504D4—84no—
1505D4—88no—
1506D4—164no—
1507D4—164no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
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—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—48no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—48no—
1592C2×C4—44no—
1593C2×C4—48no—
1594C2×C4—44no—
1595C2×C4—88no—
1596C2×C4—88no—
1597C2×C4—88no—
1598C2×C4—88no—
1599C2×C4C22×#4114yes—
1600C2×C4C22×#4114yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4112yes—
1603C2×C4C22×#4112yes—
1604C2×C4C2×H(5,𝔽2)12yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×H(5,𝔽2)12yes—
1607C2×C4#58512yes—
1608C2×C4#58512yes—
1609C2×C4#58512yes—
1610C2×C4#58512yes—
1611C2×C4#58512yes—
1612C22—44no—
1613C22—42no—
1614C22—42no—
1615C22—41no—
1616C22—44no—
1617C22—42no—
1618C22—42no—
1619C22—41no—
1620C22—41no—
1621C22—42no—
1622C22—42no—
1623C22—44no—
1624C22—42no—
1625C22—44no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—42no—
1630C22—42no—
1631C22—44no—
1632C22—42no—
1633C22—41no—
1634C22—42no—
1635C22—44no—
1636C22—42no—
1637C22—41no—
1638C22—42no—
1639C22—44no—
1640C22C23×#4111yescharacteristic
1641C22C22×H(5,𝔽2)11yescharacteristic
1642C22C2×#58511yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22C2×#58511yescharacteristic
1646C22C2×#58511yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—24no—
1652C4—22no—
1653C4—24no—
1654C4—44no—
1655C4—44no—
1656C4—41no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—41no—
1663C4—42no—
1664C4—42no—
1665C4—41no—
1666C4—41no—
1667C4—42no—
1668C4—42no—
1669C4—41no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—44no—
1674C4—42no—
1675C4—41no—
1676C4#345514yes—
1677C4#352414yes—
1678C2—84no—
1679C2—82no—
1680C2—82no—
1681C2—81no—
1682C2C2×#345511yescharacteristic
1683C2C2×#352411yescharacteristic
1684C2#6280011yescharacteristic
1685C2#6302111yescharacteristic
1686C2#6302211yescharacteristic
1687C2#6302911yescharacteristic
1688C2#6303111yescharacteristic
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. #42907C2semidirect
2. #42871C2semidirect
3. #41503C2semidirect
4. #40805C2semidirect
5. #40129C2semidirect
6. #39735C2semidirect
7. #39730C2semidirect
8. #39505C2semidirect
9. #39500C2semidirect
10. #39480C2semidirect
11. #39474C2semidirect
12. #39249C2semidirect
13. #39201C2semidirect
14. #39196C2semidirect
15. #38531C2semidirect
16. #37743C2semidirect
17. #37626C2semidirect
18. #37570C2semidirect
19. #36598C2semidirect
20. #36496C2semidirect
21. #36493C2semidirect
22. #36492C2semidirect
23. #36252C2semidirect
24. #36113C2semidirect
25. #35800C2semidirect
26. #35785C2semidirect
27. #35277C2semidirect
28. #35218C2semidirect
29. #35185C2semidirect
30. #35137C2semidirect
31. #34974C2semidirect
32. #34914C2semidirect
33. #34317C2semidirect
34. C4×#559C2semidirect
35. #34129C2semidirect

Maximal subgroups

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

subgroupindex
#429072
#428712
#415032
#408052
#401292
#397352
#397302
#395052
#395002
#394802
#394742
#392492
#392012
#391962
#385312
#377432
#376262
#375702
#365982
#364962
#364932
#364922
#362522
#361132
#358002
#357852
#352772
#352182
#351852
#351372
#349742
#349142
#343172
C4×#5592
#341292