Finite Group Databasebeta

← #7681237

Subgroups — #7681237

Order 512.

4605 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59872C212yesmaximal, complemented
2#59456C212yesmaximal, complemented
3#59432C212yesmaximal, complemented
4#59430C212yesmaximal, complemented
5#59298C212yesmaximal, complemented
6#59297C212yesmaximal, complemented
7#59294C212yesmaximal, complemented
8#59293C212yesmaximal, complemented
9#44856C214yesmaximal, complemented
10#44855C214yesmaximal, complemented
11#43163C214yesmaximal, complemented
12#43157C214yesmaximal, complemented
13#39734C211yesmaximal, characteristic, complemented
14#39607C211yesmaximal, characteristic, complemented
15#39077C212yesmaximal, complemented
16#39067C212yesmaximal, complemented
17#38943C211yesmaximal, characteristic, complemented
18#38931C211yesmaximal, characteristic, complemented
19#37971C212yesmaximal
20#37783C212yesmaximal
21#36481C211yesmaximal, characteristic, complemented
22#36480C211yesmaximal, characteristic, complemented
23#36193C211yesmaximal, characteristic, complemented
24#36133C211yesmaximal, characteristic, complemented
25#35650C212yesmaximal, complemented
26#35594C212yesmaximal, complemented
27#35321C212yesmaximal, complemented
28#35297C211yesmaximal, characteristic
29#34978C211yesmaximal, characteristic, complemented
30#34953C211yesmaximal, characteristic, complemented
31#34231C211yesmaximal, characteristic, complemented
32#34225C212yesmaximal, complemented
33#34196C211yesmaximal, characteristic, complemented
34#34121C211yesmaximal, characteristic
35C4×#536C211yesmaximal, characteristic
36C2×#536C2211yescharacteristic
37C2×#533C2212yes—
38C2×#533C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic
41#2863C2212yes—
42#2863C2212yes—
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2855C2212yes—
48#2855C2212yes—
49#2791C2214yes—
50#2769C2214yes—
51#2766C2214yes—
52#2765C2214yes—
53#2764C2214yes—
54#2762C2214yes—
55#2761C2214yes—
56#2758C2214yes—
57#2758C2214yes—
58#2755C2214yes—
59#2755C2214yes—
60#2755C2214yes—
61#2747C2214yes—
62#2744C2214yes—
63#2743C2214yes—
64#2740C2214yes—
65#2739C2214yes—
66#2738C2214yes—
67#2713C2214yes—
68#2707C2214yes—
69#2704C2214yes—
70#2700C2214yes—
71#2698C2214yes—
72#2687C2214yes—
73#2647C2212yes—
74#2642C2212yes—
75#2629C2212yes—
76#2625C2212yes—
77#2621C2212yes—
78#2616C2212yes—
79#2612C2214yes—
80#2609C2214yes—
81#2606C2214yes—
82#2605C2214yes—
83#2601C2214yes—
84#2599C2214yes—
85#2596C2214yes—
86#2594C2214yes—
87#2588C2214yes—
88#2588C2214yes—
89#2585C2214yes—
90#2585C2214yes—
91#2585C2214yes—
92#2585C2214yes—
93#2584C2212yes—
94#2584C2212yes—
95#2584C2212yes—
96#2583C2214yes—
97#2581C2212yes—
98#2575C2214yes—
99#2573C2214yes—
100#2573C2214yes—
101#2573C2214yes—
102#2571C2211yescharacteristic
103#2571C2212yes—
104#2570C2212yes—
105#2570C2212yes—
106#2567C2211yescharacteristic
107#2567C2211yescharacteristic
108#2565C2214yes—
109#2562C2212yes—
110#2552C2211yescharacteristic
111#2552C2212yes—
112#2552C2211yescharacteristic
113#2551C2211yescharacteristic
114#2546C2211yescharacteristic
115#2546C2211yescharacteristic
116#2536C2212yes—
117#2533C2214yes—
118#2532C2214yes—
119#2529C2214yes—
120#2528C2214yes—
121#2525C2214yes—
122#2525C2214yes—
123#2524C2214yes—
124#2524C2214yes—
125#2524C2214yes—
126#2524C2214yes—
127#2522C2214yes—
128#2520C2214yes—
129#2520C2214yes—
130#2520C2214yes—
131#2519C2214yes—
132#2515C2214yes—
133#2515C2214yes—
134#2514C2212yes—
135#2511C2212yes—
136#2509C2214yes—
137#2509C2212yes—
138#2508C2212yes—
139#2508C2212yes—
140#2508C2212yes—
141#2507C2212yes—
142#2507C2212yes—
143#2507C2212yes—
144#2507C2212yes—
145#2506C2212yes—
146#2506C2212yes—
147#2502C2212yes—
148#2497C2212yes—
149#2497C2212yes—
150#2497C2212yes—
151#2497C2212yes—
152#2496C2212yes—
153#2496C2212yes—
154#2495C2212yes—
155#2495C2212yes—
156#2495C2212yes—
157#2494C2212yes—
158#2492C2212yes—
159#2489C2212yes—
160#2485C2212yes—
161#2485C2212yes—
162#2479C2214yes—
163#2475C2214yes—
164#2474C2214yes—
165#2470C2214yes—
166#2469C2214yes—
167#2465C2214yes—
168#2462C2214yes—
169#2458C2214yes—
170#2453C2214yes—
171#2453C2212yes—
172#2451C2212yes—
173#2451C2214yes—
174#2446C2212yes—
175#2446C2212yes—
176#2442C2212yes—
177#2441C2212yes—
178#2441C2212yes—
179#2441C2212yes—
180#2440C2212yes—
181#2439C2212yes—
182#2439C2212yes—
183#2439C2212yes—
184#2438C2214yes—
185#2438C2214yes—
186#2434C2212yes—
187#2429C2212yes—
188#2429C2212yes—
189#2423C2212yes—
190#2421C2212yes—
191#2415C2212yes—
192#2415C2212yes—
193#2399C2214yes—
194#2396C2214yes—
195#2370C2214yes—
196#2370C2212yes—
197#2370C2212yes—
198#2370C2214yes—
199#2369C2211yescharacteristic
200#2369C2211yescharacteristic
201#2365C2211yescharacteristic
202#2365C2212yes—
203#2365C2211yescharacteristic
204#2365C2212yes—
205#2362C2214yes—
206#2362C2214yes—
207#2362C2212yes—
208#2362C2212yes—
209#2357C2212yes—
210#2356C2214yes—
211#2356C2212yes—
212#2356C2214yes—
213#2355C2211yescharacteristic
214#2355C2212yes—
215#2355C2212yes—
216#2355C2211yescharacteristic
217#2355C2211yescharacteristic
218#2355C2211yescharacteristic
219#2354C2211yescharacteristic
220#2354C2211yescharacteristic
221#2353C2212yes—
222#2353C2212yes—
223#2352C2211yescharacteristic
224#2352C2211yescharacteristic
225#2352C2211yescharacteristic
226#2352C2211yescharacteristic
227#2351C2214yes—
228Q8×C4⋊C4C2211yescharacteristic
229Q8×C4⋊C4C2211yescharacteristic
230#2347C2212yes—
231#2347C2212yes—
232#2347C2214yes—
233#2347C2212yes—
234#2346C2214yes—
235#2346C2212yes—
236#2344C2212yes—
237#2344C2212yes—
238#2344C2212yes—
239#2344C2214yes—
240Q8×C22⋊C4C2212yes—
241#2332C2214yes—
242#2327C2212yes—
243#2326C2212yes—
244#2323C2211yescharacteristic
245#2323C2212yes—
246#2323C2211yescharacteristic
247#2323C2211yescharacteristic
248#2323C2211yescharacteristic
249#2323C2212yes—
250#2323C2212yes—
251#2323C2212yes—
252#2322C2212yes—
253#2322C2212yes—
254#2320C2212yes—
255#2320C2212yes—
256#2320C2212yes—
257#2320C2214yes—
258#2320C2212yes—
259#2317C2211yescharacteristic
260#2311C2211yescharacteristic
261#2310C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2212yes—
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2212yes—
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×#125C2212yes—
273C4×#124C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×#123C2212yes—
279C4×#123C2212yes—
280#2298C2212yes—
281#2298C2212yes—
282#2297C2212yes—
283#2296C2212yes—
284#2296C2212yes—
285#2285C2211yescharacteristic
286#2285C2212yes—
287#2285C2212yes—
288#2285C2211yescharacteristic
289#2283C2211yescharacteristic
290#2283C2211yescharacteristic
291#2283C2212yes—
292#2276C2212yes—
293#2276C2212yes—
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#536—28no—
302#533—216no—
303#533—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×#126C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#124C2312yes—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C4×#41—28no—
332C2×C4×Q8—28no—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2314yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2314yes—
349C2×C4×Q8C2314yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2314yes—
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2314yes—
369C2×#117C2312yes—
370C2×#117C2314yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C42C2312yes—
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2312yes—
379C22×C42C2311yescharacteristic
380#401C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#399C2314yes—
402#399C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#393C2314yes—
451#393C2314yes—
452#391C2311yescharacteristic
453#391C2314yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2314yes—
462#391C2314yes—
463#391C2314yes—
464#391C2311yescharacteristic
465#391C2311yescharacteristic
466#391C2311yescharacteristic
467#391C2312yes—
468#391C2314yes—
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#390C2312yes—
483#390C2312yes—
484#390C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2311yescharacteristic
494#389C2312yes—
495#389C2312yes—
496#389C2314yes—
497#389C2314yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2312yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2312yes—
547#388C2312yes—
548#388C2314yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#385C2312yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2312yes—
658#385C2312yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#384C2312yes—
663#384C2312yes—
664#384C2312yes—
665#384C2312yes—
666#384C2312yes—
667#384C2311yescharacteristic
668#384C2312yes—
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2311yescharacteristic
673#383C2314yes—
674#383C2314yes—
675#383C2314yes—
676#383C2312yes—
677#383C2314yes—
678#383C2314yes—
679#383C2314yes—
680#383C2314yes—
681#383C2312yes—
682#382C2311yescharacteristic
683#382C2311yescharacteristic
684#382C2312yes—
685#382C2312yes—
686#382C2314yes—
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
693#382C2312yes—
694#382C2314yes—
695#382C2314yes—
696#382C2314yes—
697#382C2314yes—
698#382C2312yes—
699#381C2312yes—
700#381C2312yes—
701#381C2314yes—
702#381C2314yes—
703#381C2312yes—
704#381C2314yes—
705#381C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2314yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2312yes—
808#376C2314yes—
809#376C2312yes—
810#376C2312yes—
811C2×#95C2312yes—
812C43C2312yes—
813C43C2312yes—
814C43C2312yes—
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—42no—
818C22×Q8—24no—
819C22×Q8—24no—
820C22×Q8—42no—
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2414yes—
824C22×Q8C2412yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C4⋊Q8—28no—
845C4⋊Q8—28no—
846C4⋊Q8—28no—
847C4⋊Q8—28no—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—44no—
851#126—84no—
852#125—216no—
853#125—28no—
854#125—28no—
855#125—44no—
856#125—84no—
857#124—28no—
858#123—28no—
859#123—28no—
860C22⋊Q8—24no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—24no—
865C22⋊Q8—24no—
866C22⋊Q8—216no—
867C22⋊Q8—44no—
868C22⋊Q8—82no—
869C22⋊Q8—82no—
870C22⋊Q8#4118yes—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—216no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—24no—
877C4×Q8—24no—
878C4×Q8—28no—
879C4×Q8—28no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—84no—
887C4×Q8—84no—
888C4×D4—24no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—24no—
893C4×D4—24no—
894#117—24no—
895#117—28no—
896#117—24no—
897#117—24no—
898#117—24no—
899#117—24no—
900#117—24no—
901#117—216no—
902#117—24no—
903#117—24no—
904#117—44no—
905#117—42no—
906#117—84no—
907#117—84no—
908#117—82no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—28no—
911C2×C4⋊C4—24no—
912C2×C4⋊C4—24no—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C42—28no—
1026C2×C42—28no—
1027C2×C42—24no—
1028C2×C42—24no—
1029C2×C42#4118yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158C24C2511yescharacteristic
1159C24C2511yescharacteristic
1160C24C2511yescharacteristic
1161#41—416no—
1162C2×Q8—22no—
1163C2×Q8—24no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—28no—
1167C2×Q8—24no—
1168C2×Q8—24no—
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—24no—
1173C2×Q8—28no—
1174C2×Q8—22no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—44no—
1178C2×Q8—42no—
1179C2×Q8—41no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—416no—
1183C2×Q8C2×#4114yes—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—41no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4C2×#4114yes—
1229C22×C4C2×#4114yes—
1230C22×C4C2×#4114yes—
1231C22×C4C2×#4114yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2514yes—
1249C22×C4C2514yes—
1250C22×C4C2514yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—28no—
1279C4⋊C4—28no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
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—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4C2×#4114yes—
1341C4⋊C4C2×#4118yes—
1342C4⋊C42−1+414yes—
1343C4⋊C42−1+414yes—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—24no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4C2×#4118yes—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—24no—
1383C42—24no—
1384C42—24no—
1385C42—24no—
1386C42—24no—
1387C42—24no—
1388C42—24no—
1389C42—24no—
1390C42—28no—
1391C42—28no—
1392C42—28no—
1393C42—24no—
1394C42—24no—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—24no—
1402C42—42no—
1403C42—42no—
1404C42—42no—
1405C42—42no—
1406C42—44no—
1407C42—44no—
1408C42—44no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—42no—
1413C42—42no—
1414C42—42no—
1415C42—44no—
1416C42C2×#4114yes—
1417C42C2×#4114yes—
1418C42C2×#4114yes—
1419C42C2×#4114yes—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23C22×#4112yes—
1440C23C22×#4112yes—
1441C23C2611yescharacteristic
1442Q8—28no—
1443Q8—416no—
1444Q8—48no—
1445Q8—44no—
1446Q8—48no—
1447Q8—44no—
1448Q8—84no—
1449D4—44no—
1450D4—44no—
1451D4—44no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—28no—
1471C2×C4—28no—
1472C2×C4—28no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—24no—
1536C2×C4—44no—
1537C2×C4—48no—
1538C2×C4—48no—
1539C2×C4—48no—
1540C2×C4—48no—
1541C2×C4—44no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—82no—
1545C2×C4—82no—
1546C2×C4C22×#4112yes—
1547C2×C4C22×#4112yes—
1548C2×C4C22×#4114yes—
1549C2×C4C22×#4112yes—
1550C2×C4C22×#4114yes—
1551C2×C4C22×#4112yes—
1552C2×C4C22×#4112yes—
1553C2×C4C22×#4112yes—
1554C2×C4C22×#4112yes—
1555C2×C4C22×#4112yes—
1556C2×C4C2×2−1+414yes—
1557C2×C4C2×2−1+414yes—
1558C2×C4C2×2−1+412yes—
1559C2×C4C2×2−1+412yes—
1560C2×C4#58512yes—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22C23×#4111yescharacteristic
1583C22C23×#4111yescharacteristic
1584C22C22×2−1+411yescharacteristic
1585C22C22×2−1+411yescharacteristic
1586C22C2×#58511yescharacteristic
1587C22H(7,𝔽2)11yescharacteristic
1588C222−1+611yescharacteristic
1589C4—24no—
1590C4—24no—
1591C4—24no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—22no—
1596C4—22no—
1597C4—24no—
1598C4—42no—
1599C4—42no—
1600C4—42no—
1601C4—44no—
1602C4—41no—
1603C4—41no—
1604C4—42no—
1605C4—42no—
1606C4—41no—
1607C4—41no—
1608C4—44no—
1609C4—42no—
1610C4—42no—
1611C4—42no—
1612C4—44no—
1613C4—42no—
1614C4—42no—
1615C4—42no—
1616C4—41no—
1617C4—42no—
1618C4—44no—
1619C4#347514yes—
1620C4#350914yes—
1621C2—42no—
1622C2—42no—
1623C2—81no—
1624C2C2×#347511yescharacteristic
1625C2C2×#350911yescharacteristic
1626C2#6285611yescharacteristic
1627C2#6295211yescharacteristic
1628C2#6295311yescharacteristic
1629C2#6299811yescharacteristic
1630C2#6300011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59872C2semidirect
2. #59456C2semidirect
3. #59432C2semidirect
4. #59430C2semidirect
5. #59298C2semidirect
6. #59297C2semidirect
7. #59294C2semidirect
8. #59293C2semidirect
9. #44856C2semidirect
10. #44855C2semidirect
11. #43163C2semidirect
12. #43157C2semidirect
13. #39734C2semidirect
14. #39607C2semidirect
15. #39077C2semidirect
16. #39067C2semidirect
17. #38943C2semidirect
18. #38931C2semidirect
21. #36481C2semidirect
22. #36480C2semidirect
23. #36193C2semidirect
24. #36133C2semidirect
25. #35650C2semidirect
26. #35594C2semidirect
27. #35321C2semidirect
29. #34978C2semidirect
30. #34953C2semidirect
31. #34231C2semidirect
32. #34225C2semidirect
33. #34196C2semidirect

Maximal subgroups

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

subgroupindex
#598722
#594562
#594322
#594302
#592982
#592972
#592942
#592932
#448562
#448552
#431632
#431572
#397342
#396072
#390772
#390672
#389432
#389312
#379712
#377832
#364812
#364802
#361932
#361332
#356502
#355942
#353212
#352972
#349782
#349532
#342312
#342252
#341962
#341212
C4×#5362