Finite Group Databasebeta

← #7631658

Subgroups — #7631658

Order 512.

5080 conjugacy classes of subgroups.

The subgroup lattice has 1658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36556C211yesmaximal, characteristic, complemented
2#36552C211yesmaximal, characteristic, complemented
3#36312C211yesmaximal, characteristic, complemented
4#36307C212yesmaximal, complemented
5#36294C212yesmaximal, complemented
6#36292C212yesmaximal, complemented
7#36290C211yesmaximal, characteristic, complemented
8#36275C211yesmaximal, characteristic, complemented
9#36259C211yesmaximal, characteristic
10#36176C211yesmaximal, characteristic, complemented
11#36171C212yesmaximal, complemented
12#36164C211yesmaximal, characteristic, complemented
13#35999C214yesmaximal, complemented
14#35998C212yesmaximal, complemented
15#35899C212yesmaximal, complemented
16#35891C214yesmaximal, complemented
17#35888C212yesmaximal, complemented
18#35803C212yesmaximal, complemented
19#35645C212yesmaximal, complemented
20#35613C212yesmaximal, complemented
21#35459C214yesmaximal, complemented
22#35458C214yesmaximal, complemented
23#35291C211yesmaximal, characteristic, complemented
24#35187C211yesmaximal, characteristic, complemented
25#35029C212yesmaximal, complemented
26#35024C212yesmaximal, complemented
27#34941C211yesmaximal, characteristic, complemented
28#34913C211yesmaximal, characteristic, complemented
29#34780C212yesmaximal, complemented
30C2×#2508C212yesmaximal, complemented
31#34332C211yesmaximal, characteristic, complemented
32#34289C212yesmaximal, complemented
33#34191C212yesmaximal, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35C4×#520C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#547C2212yes—
39C2×#520C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×C4×#41C2212yes—
42C2×C4×#41C2211yescharacteristic
43#2864C2212yes—
44#2864C2212yes—
45#2863C2212yes—
46#2862C2211yescharacteristic
47#2860C2212yes—
48#2859C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2855C2212yes—
52#2854C2212yes—
53#2854C2212yes—
54#2851C2212yes—
55#2851C2212yes—
56#2850C2212yes—
57#2655C2214yes—
58#2654C2214yes—
59#2649C2214yes—
60#2645C2212yes—
61#2643C2214yes—
62#2625C2212yes—
63#2623C2214yes—
64#2596C2214yes—
65#2596C2214yes—
66#2594C2214yes—
67#2594C2214yes—
68#2590C2214yes—
69#2590C2214yes—
70#2588C2214yes—
71#2582C2211yescharacteristic
72#2578C2212yes—
73#2577C2214yes—
74#2577C2212yes—
75#2576C2212yes—
76#2575C2214yes—
77#2575C2214yes—
78#2575C2212yes—
79#2574C2214yes—
80#2573C2214yes—
81#2571C2211yescharacteristic
82#2568C2211yescharacteristic
83#2567C2211yescharacteristic
84#2563C2211yescharacteristic
85#2553C2214yes—
86#2552C2211yescharacteristic
87#2546C2211yescharacteristic
88#2538C2211yescharacteristic
89#2533C2214yes—
90#2533C2214yes—
91#2532C2214yes—
92#2530C2214yes—
93#2529C2214yes—
94#2529C2214yes—
95#2528C2214yes—
96#2528C2214yes—
97#2524C2214yes—
98#2524C2214yes—
99#2524C2214yes—
100#2522C2214yes—
101#2520C2214yes—
102#2519C2214yes—
103#2518C2214yes—
104#2517C2214yes—
105#2515C2214yes—
106#2514C2212yes—
107#2514C2211yescharacteristic
108#2514C2212yes—
109#2514C2212yes—
110#2513C2212yes—
111#2511C2212yes—
112#2511C2212yes—
113#2510C2214yes—
114#2509C2212yes—
115#2509C2212yes—
116#2509C2212yes—
117#2508C2214yes—
118#2508C2214yes—
119#2508C2214yes—
120#2508C2212yes—
121#2508C2212yes—
122#2508C2211yescharacteristic
123#2508C2212yes—
124#2508C2212yes—
125#2508C2214yes—
126#2508C2212yes—
127#2508C2212yes—
128#2508C2212yes—
129#2507C2212yes—
130#2505C2214yes—
131#2505C2214yes—
132#2504C2212yes—
133#2503C2212yes—
134#2502C2212yes—
135#2498C2214yes—
136#2497C2212yes—
137#2496C2212yes—
138#2495C2212yes—
139#2495C2211yescharacteristic
140#2495C2212yes—
141#2494C2212yes—
142#2493C2214yes—
143#2493C2214yes—
144#2493C2214yes—
145#2489C2212yes—
146#2489C2212yes—
147#2489C2211yescharacteristic
148#2489C2212yes—
149#2488C2214yes—
150#2488C2214yes—
151#2488C2214yes—
152#2487C2212yes—
153#2486C2212yes—
154#2486C2212yes—
155#2484C2214yes—
156#2481C2214yes—
157#2481C2214yes—
158#2478C2214yes—
159#2473C2214yes—
160#2470C2214yes—
161#2454C2211yescharacteristic
162#2454C2212yes—
163#2453C2212yes—
164#2453C2212yes—
165#2453C2212yes—
166#2449C2214yes—
167#2448C2212yes—
168#2447C2211yescharacteristic
169#2446C2212yes—
170#2446C2212yes—
171#2443C2214yes—
172#2443C2214yes—
173#2442C2212yes—
174#2442C2212yes—
175#2441C2212yes—
176#2438C2214yes—
177#2429C2212yes—
178#2427C2211yescharacteristic
179#2425C2214yes—
180#2423C2212yes—
181#2423C2212yes—
182#2421C2212yes—
183#2420C2211yescharacteristic
184#2419C2214yes—
185#2419C2214yes—
186#2417C2212yes—
187#2416C2212yes—
188#2415C2212yes—
189#2413C2214yes—
190#2402C2214yes—
191#2401C2212yes—
192#2401C2214yes—
193#2396C2214yes—
194#2395C2212yes—
195C2×#400C2214yes—
196C2×#398C2214yes—
197#2370C2212yes—
198#2369C2211yescharacteristic
199#2365C2212yes—
200#2365C2211yescharacteristic
201#2364C2214yes—
202#2362C2212yes—
203#2362C2212yes—
204#2361C2212yes—
205#2360C2214yes—
206#2360C2212yes—
207#2360C2212yes—
208#2359C2214yes—
209#2359C2214yes—
210#2359C2214yes—
211#2355C2212yes—
212#2355C2212yes—
213#2354C2211yescharacteristic
214#2352C2214yes—
215#2352C2212yes—
216#2352C2214yes—
217Q8×C4⋊C4C2211yescharacteristic
218#2349C2212yes—
219D4×C4⋊C4C2212yes—
220D4×C4⋊C4C2211yescharacteristic
221D4×C4⋊C4C2212yes—
222D4×C4⋊C4C2211yescharacteristic
223D4×C4⋊C4C2212yes—
224#2346C2212yes—
225#2346C2212yes—
226#2345C2212yes—
227#2344C2212yes—
228#2344C2214yes—
229#2343C2214yes—
230#2343C2214yes—
231#2339C2212yes—
232#2339C2212yes—
233#2339C2212yes—
234#2339C2212yes—
235#2339C2212yes—
236#2330C2212yes—
237#2329C2214yes—
238#2327C2212yes—
239#2325C2214yes—
240#2323C2212yes—
241#2322C2214yes—
242#2320C2212yes—
243#2320C2212yes—
244#2318C2214yes—
245#2318C2214yes—
246C4×C4⋊Q8C2211yescharacteristic
247C4×C4⋊Q8C2211yescharacteristic
248C4×#125C2212yes—
249C4×#125C2211yescharacteristic
250C4×#125C2212yes—
251C4×#124C2211yescharacteristic
252C4×C22⋊Q8C2212yes—
253C4×C22⋊Q8C2212yes—
254C4×C22⋊Q8C2212yes—
255C4×C22⋊Q8C2211yescharacteristic
256C4×C22⋊Q8C2212yes—
257C4×#123C2214yes—
258C4×#123C2214yes—
259C4×#121C2211yescharacteristic
260C4×#121C2212yes—
261#2295C2211yescharacteristic
262#2295C2212yes—
263#2293C2212yes—
264C2×#389C2212yes—
265C2×#389C2212yes—
266C2×#389C2212yes—
267C2×#389C2212yes—
268#2290C2212yes—
269C2×#387C2214yes—
270#2285C2212yes—
271#2283C2212yes—
272#2283C2212yes—
273#2283C2214yes—
274C2×#382C2212yes—
275C2×#382C2214yes—
276#2276C2211yescharacteristic
277#2276C2211yescharacteristic
278#2275C2212yes—
279#2275C2211yescharacteristic
280#2275C2212yes—
281#2275C2212yes—
282#2275C2211yescharacteristic
283#2274C2211yescharacteristic
284#2274C2212yes—
285#2274C2212yes—
286#2274C2211yescharacteristic
287C42×Q8C2211yescharacteristic
288C42×Q8C2211yescharacteristic
289C42×D4C2211yescharacteristic
290C42×D4C2211yescharacteristic
291C42×D4C2212yes—
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C4×#117C2211yescharacteristic
295C4×#117C2212yes—
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301#554—28no—
302#547—216no—
303#547—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×#126C2314yes—
308C2×#125C2311yescharacteristic
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#124C2311yescharacteristic
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2311yescharacteristic
327#520—28no—
328#520—28no—
329C4×#41—216no—
330C4×#41—28no—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2314yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2314yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2314yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2314yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2314yes—
382C22×C4⋊C4C2314yes—
383C22×C4⋊C4C2314yes—
384C22×C42C2312yes—
385C22×C42C2311yescharacteristic
386C22×C42C2314yes—
387C22×C42C2312yes—
388C22×C42C2312yes—
389C22×C42C2312yes—
390C22×C42C2312yes—
391#401C2312yes—
392#401C2314yes—
393#401C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#399C2312yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2314yes—
457#396C2314yes—
458#395C2314yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#393C2314yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2312yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#390C2312yes—
485#390C2311yescharacteristic
486#390C2312yes—
487#390C2312yes—
488#390C2311yescharacteristic
489#389C2312yes—
490#389C2312yes—
491#389C2311yescharacteristic
492#389C2312yes—
493#389C2311yescharacteristic
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2314yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2311yescharacteristic
531#389C2314yes—
532#389C2312yes—
533#389C2314yes—
534#389C2311yescharacteristic
535#389C2314yes—
536#389C2311yescharacteristic
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2312yes—
565#387C2312yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2312yes—
578#387C2314yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2312yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2312yes—
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#387C2314yes—
611#387C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2312yes—
617#386C2312yes—
618#386C2314yes—
619#386C2312yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2312yes—
632#385C2314yes—
633#385C2312yes—
634#385C2312yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#384C2311yescharacteristic
645#384C2311yescharacteristic
646#384C2312yes—
647#384C2312yes—
648#384C2312yes—
649#383C2314yes—
650#383C2314yes—
651#383C2312yes—
652#383C2312yes—
653#383C2314yes—
654#383C2314yes—
655#382C2312yes—
656#382C2312yes—
657#382C2311yescharacteristic
658#382C2312yes—
659#382C2312yes—
660#382C2312yes—
661#382C2314yes—
662#382C2314yes—
663#382C2314yes—
664#382C2314yes—
665#382C2312yes—
666#382C2312yes—
667#382C2312yes—
668#382C2314yes—
669#382C2314yes—
670#382C2312yes—
671#382C2314yes—
672#382C2314yes—
673#382C2314yes—
674#382C2311yescharacteristic
675#381C2312yes—
676#381C2312yes—
677#381C2314yes—
678#381C2314yes—
679#381C2314yes—
680#381C2314yes—
681#381C2314yes—
682#381C2314yes—
683#380C2312yes—
684#380C2312yes—
685#380C2314yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2314yes—
690#380C2314yes—
691#380C2312yes—
692#380C2312yes—
693#380C2311yescharacteristic
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2314yes—
700#380C2314yes—
701#380C2311yescharacteristic
702C4×C4⋊C4C2311yescharacteristic
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C22⋊C4C2314yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2312yes—
766C4×C22⋊C4C2312yes—
767C4×C22⋊C4C2311yescharacteristic
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2311yescharacteristic
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796#376C2311yescharacteristic
797#376C2312yes—
798#376C2314yes—
799#376C2314yes—
800#376C2311yescharacteristic
801#376C2312yes—
802#376C2312yes—
803C2×#95C2312yes—
804C2×#95C2314yes—
805C2×#95C2314yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41#4118yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2414yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C4⋊Q8—28no—
852C4⋊Q8—24no—
853C4⋊Q8—24no—
854#126—84no—
855#125—28no—
856#125—24no—
857#125—44no—
858#125—82no—
859#124—42no—
860#123—216no—
861#123—216no—
862#123—216no—
863#123—84no—
864C22⋊Q8—28no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—24no—
869C22⋊Q8—216no—
870C22⋊Q8—82no—
871#121—216no—
872#121—28no—
873#121—42no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—24no—
879C4×Q8—28no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—24no—
883C4×Q8—44no—
884C4×Q8—82no—
885C4×D4—28no—
886C4×D4—24no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—216no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—216no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—24no—
903C4×D4—42no—
904C4×D4#4118yes—
905C4×D4#4118yes—
906#117—28no—
907#117—24no—
908#117—28no—
909#117—24no—
910#117—216no—
911#117—28no—
912#117—28no—
913#117—24no—
914#117—84no—
915C2×C4⋊C4—28no—
916C2×C4⋊C4—28no—
917C2×C4⋊C4—24no—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—216no—
920C2×C4⋊C4—28no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—28no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—84no—
925C2×C4⋊C4—84no—
926C2×C4⋊C4—84no—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C42—28no—
1033C2×C42—216no—
1034C2×C42—28no—
1035C2×C42—24no—
1036C2×C42—44no—
1037C2×C42—44no—
1038C2×C42—44no—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2414yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2412yes—
1087#95C2411yescharacteristic
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169C24C2512yes—
1170C24C2511yescharacteristic
1171C24C2512yes—
1172#41—232no—
1173#41—432no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8C2×#4114yes—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—28no—
1189C2×D4—28no—
1190C2×D4—28no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4C2×#4118yes—
1198C2×D4C2×#4114yes—
1199C2×D4C2×#4114yes—
1200C2×D4C2×#4114yes—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—28no—
1208C22×C4—28no—
1209C22×C4—28no—
1210C22×C4—28no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—28no—
1217C22×C4—28no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—28no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—44no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—41no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4C2×#4118yes—
1255C22×C4C2×#4118yes—
1256C22×C4C2×#4114yes—
1257C22×C4C2×#4118yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2514yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—28no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—28no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—24no—
1325C4⋊C4—28no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4C2×#4114yes—
1357C4⋊C4C2×#4114yes—
1358C4⋊C42−1+414yes—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—22no—
1371C22⋊C4—28no—
1372C22⋊C4—24no—
1373C22⋊C4—22no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4C2×#4118yes—
1394C22⋊C4C2×#4118yes—
1395C42—24no—
1396C42—22no—
1397C42—24no—
1398C42—22no—
1399C42—28no—
1400C42—24no—
1401C42—24no—
1402C42—28no—
1403C42—24no—
1404C42—24no—
1405C42—22no—
1406C42—28no—
1407C42—24no—
1408C42—24no—
1409C42—24no—
1410C42—24no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—24no—
1415C42—24no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—22no—
1421C42—24no—
1422C42—42no—
1423C42—42no—
1424C42—42no—
1425C42—42no—
1426C42—42no—
1427C42—42no—
1428C42—42no—
1429C42—44no—
1430C42—41no—
1431C42—41no—
1432C42—42no—
1433C42—42no—
1434C42—44no—
1435C42—44no—
1436C42—41no—
1437C42—41no—
1438C42—42no—
1439C42C2×#4114yes—
1440C42C2×#4114yes—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23C22×#4112yes—
1459C23C22×#4114yes—
1460C23C22×#4114yes—
1461C23C22×#4114yes—
1462C23C2611yescharacteristic
1463Q8—28no—
1464Q8—48no—
1465Q8—44no—
1466Q8—84no—
1467D4—216no—
1468D4—416no—
1469D4—44no—
1470D4—84no—
1471D4#529116yes—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—216no—
1489C2×C4—28no—
1490C2×C4—216no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—48no—
1558C2×C4—48no—
1559C2×C4—416no—
1560C2×C4—416no—
1561C2×C4—48no—
1562C2×C4—44no—
1563C2×C4—84no—
1564C2×C4—84no—
1565C2×C4—82no—
1566C2×C4—84no—
1567C2×C4—88no—
1568C2×C4—84no—
1569C2×C4—84no—
1570C2×C4—84no—
1571C2×C4—84no—
1572C2×C4—88no—
1573C2×C4C22×#4112yes—
1574C2×C4C22×#4114yes—
1575C2×C4C22×#4112yes—
1576C2×C4C22×#4114yes—
1577C2×C4C22×#4114yes—
1578C2×C4C22×#4112yes—
1579C2×C4C22×#4112yes—
1580C2×C4C22×#4112yes—
1581C2×C4C22×#4112yes—
1582C2×C4C22×#4112yes—
1583C2×C4C22×#4112yes—
1584C2×C4C2×2−1+414yes—
1585C2×C4C2×2−1+412yes—
1586C2×C4#58512yes—
1587C22—24no—
1588C22—24no—
1589C22—24no—
1590C22—24no—
1591C22—24no—
1592C22—24no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22C2×#52918yes—
1608C22C23×#4111yescharacteristic
1609C22C23×#4111yescharacteristic
1610C22C23×#4111yescharacteristic
1611C22C22×2−1+411yescharacteristic
1612C22C2×#58511yescharacteristic
1613C22H(7,𝔽2)11yescharacteristic
1614C222−1+611yescharacteristic
1615C4—22no—
1616C4—24no—
1617C4—24no—
1618C4—22no—
1619C4—24no—
1620C4—22no—
1621C4—22no—
1622C4—24no—
1623C4—42no—
1624C4—41no—
1625C4—42no—
1626C4—44no—
1627C4—41no—
1628C4—41no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—41no—
1633C4—44no—
1634C4—41no—
1635C4—41no—
1636C4—42no—
1637C4—41no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—41no—
1642C4—44no—
1643C4—42no—
1644C4—44no—
1645C4C2×#52914yes—
1646C4#351514yes—
1647C2—28no—
1648C2—42no—
1649C2—82no—
1650C2C22×#52911yescharacteristic
1651C2C2×#351511yescharacteristic
1652C2#6285711yescharacteristic
1653C2#6299111yescharacteristic
1654C2#6299411yescharacteristic
1655C2#6300011yescharacteristic
1656C2#6300111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36259C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36556C2semidirect
2. #36552C2semidirect
3. #36312C2semidirect
4. #36307C2semidirect
5. #36294C2semidirect
6. #36292C2semidirect
7. #36290C2semidirect
8. #36275C2semidirect
10. #36176C2semidirect
11. #36171C2semidirect
12. #36164C2semidirect
13. #35999C2semidirect
14. #35998C2semidirect
15. #35899C2semidirect
16. #35891C2semidirect
17. #35888C2semidirect
18. #35803C2semidirect
19. #35645C2semidirect
20. #35613C2semidirect
21. #35459C2semidirect
22. #35458C2semidirect
23. #35291C2semidirect
24. #35187C2semidirect
25. #35029C2semidirect
26. #35024C2semidirect
27. #34941C2semidirect
28. #34913C2semidirect
29. #34780C2semidirect
30. C2×#2508C2semidirect
31. #34332C2semidirect
32. #34289C2semidirect
33. #34191C2semidirect
34. C4×#547C2semidirect
35. C4×#520C2semidirect

Maximal subgroups

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

subgroupindex
#365562
#365522
#363122
#363072
#362942
#362922
#362902
#362752
#362592
#361762
#361712
#361642
#359992
#359982
#358992
#358912
#358882
#358032
#356452
#356132
#354592
#354582
#352912
#351872
#350292
#350242
#349412
#349132
#347802
C2×#25082
#343322
#342892
#341912
C4×#5472
C4×#5202