Finite Group Databasebeta

← #7632801

Subgroups — #7632801

Order 512.

5056 conjugacy classes of subgroups.

The subgroup lattice has 1673 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36553C212yesmaximal, complemented
2#36506C212yesmaximal, complemented
3#36310C212yesmaximal, complemented
4#36309C214yesmaximal, complemented
5#36256C212yesmaximal, complemented
6#36247C214yesmaximal, complemented
7#36069C212yesmaximal, complemented
8#36006C212yesmaximal, complemented
9#35892C214yesmaximal, complemented
10#35889C214yesmaximal, complemented
11#35726C212yesmaximal, complemented
12#35720C212yesmaximal, complemented
13#35656C212yesmaximal, complemented
14#35632C212yesmaximal, complemented
15#35628C211yesmaximal, characteristic, complemented
16#35621C211yesmaximal, characteristic
17#35610C212yesmaximal, complemented
18#35561C212yesmaximal, complemented
19#35555C211yesmaximal, characteristic, complemented
20#35519C211yesmaximal, characteristic, complemented
21#35307C211yesmaximal, characteristic, complemented
22#35206C212yesmaximal, complemented
23#35188C212yesmaximal, complemented
24#35160C211yesmaximal, characteristic, complemented
25#34951C212yesmaximal, complemented
26#34918C212yesmaximal, complemented
27C2×#2511C211yesmaximal, characteristic, complemented
28#34744C211yesmaximal, characteristic
29#34276C211yesmaximal, characteristic, complemented
30#34276C211yesmaximal, characteristic, complemented
31#34254C211yesmaximal, characteristic, complemented
32#34253C211yesmaximal, characteristic, complemented
33#34207C211yesmaximal, characteristic
34#34145C211yesmaximal, characteristic, complemented
35C4×#520C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#519C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2866C2214yes—
46#2865C2214yes—
47#2855C2214yes—
48#2855C2212yes—
49#2855C2212yes—
50#2852C2214yes—
51#2851C2214yes—
52#2654C2214yes—
53#2652C2214yes—
54#2652C2214yes—
55#2650C2214yes—
56#2643C2214yes—
57#2625C2212yes—
58#2625C2212yes—
59#2597C2214yes—
60#2595C2214yes—
61#2592C2212yes—
62#2592C2212yes—
63#2590C2214yes—
64#2589C2214yes—
65#2588C2214yes—
66#2587C2214yes—
67#2585C2214yes—
68#2585C2214yes—
69#2582C2212yes—
70#2581C2212yes—
71#2580C2212yes—
72#2577C2214yes—
73#2577C2214yes—
74#2575C2214yes—
75#2575C2214yes—
76#2574C2214yes—
77#2573C2214yes—
78#2570C2212yes—
79#2570C2212yes—
80#2568C2212yes—
81#2568C2212yes—
82#2560C2214yes—
83#2558C2214yes—
84#2552C2212yes—
85#2552C2212yes—
86#2547C2212yes—
87#2546C2212yes—
88#2545C2212yes—
89#2544C2212yes—
90#2538C2212yes—
91#2533C2214yes—
92#2533C2214yes—
93#2532C2214yes—
94#2531C2214yes—
95#2530C2214yes—
96#2529C2214yes—
97#2528C2214yes—
98#2528C2214yes—
99#2527C2214yes—
100#2526C2214yes—
101#2525C2214yes—
102#2524C2214yes—
103#2523C2214yes—
104#2520C2214yes—
105#2519C2214yes—
106#2517C2214yes—
107#2516C2214yes—
108#2515C2214yes—
109#2515C2214yes—
110#2514C2212yes—
111#2513C2212yes—
112#2512C2212yes—
113#2511C2212yes—
114#2511C2212yes—
115#2511C2212yes—
116#2511C2212yes—
117#2511C2212yes—
118#2511C2212yes—
119#2511C2212yes—
120#2511C2212yes—
121#2511C2212yes—
122#2509C2214yes—
123#2507C2212yes—
124#2507C2212yes—
125#2506C2212yes—
126#2506C2212yes—
127#2505C2214yes—
128#2497C2212yes—
129#2496C2212yes—
130#2495C2214yes—
131#2495C2212yes—
132#2494C2212yes—
133#2493C2214yes—
134#2492C2212yes—
135#2492C2212yes—
136#2489C2212yes—
137#2489C2212yes—
138#2489C2214yes—
139#2488C2214yes—
140#2488C2214yes—
141#2478C2214yes—
142#2475C2214yes—
143#2473C2214yes—
144#2473C2214yes—
145#2466C2214yes—
146#2460C2214yes—
147#2458C2214yes—
148#2453C2214yes—
149#2450C2214yes—
150#2450C2214yes—
151#2449C2214yes—
152#2448C2211yescharacteristic
153#2448C2211yescharacteristic
154#2447C2211yescharacteristic
155#2447C2212yes—
156#2447C2212yes—
157#2447C2211yescharacteristic
158#2446C2212yes—
159#2446C2211yescharacteristic
160#2446C2212yes—
161#2446C2211yescharacteristic
162#2445C2211yescharacteristic
163#2445C2211yescharacteristic
164#2444C2212yes—
165#2444C2212yes—
166#2443C2212yes—
167#2443C2212yes—
168#2442C2212yes—
169#2441C2212yes—
170#2440C2212yes—
171#2439C2212yes—
172#2425C2214yes—
173#2425C2214yes—
174#2419C2214yes—
175#2419C2214yes—
176#2419C2214yes—
177#2417C2212yes—
178#2417C2212yes—
179#2415C2212yes—
180#2415C2212yes—
181#2402C2214yes—
182#2402C2214yes—
183#2398C2214yes—
184#2395C2214yes—
185#2395C2212yes—
186#2395C2212yes—
187C2×#400C2212yes—
188C2×#400C2212yes—
189#2370C2211yescharacteristic
190#2370C2211yescharacteristic
191#2370C2211yescharacteristic
192#2370C2211yescharacteristic
193#2369C2211yescharacteristic
194#2369C2211yescharacteristic
195#2368C2212yes—
196#2368C2212yes—
197#2365C2211yescharacteristic
198#2365C2211yescharacteristic
199#2362C2212yes—
200#2362C2212yes—
201#2362C2212yes—
202#2362C2212yes—
203#2361C2214yes—
204#2361C2214yes—
205#2360C2212yes—
206#2360C2212yes—
207#2360C2212yes—
208#2360C2212yes—
209#2360C2212yes—
210#2360C2212yes—
211#2359C2214yes—
212#2359C2214yes—
213#2359C2214yes—
214#2359C2214yes—
215#2356C2212yes—
216#2356C2212yes—
217#2355C2212yes—
218#2355C2212yes—
219#2354C2212yes—
220#2354C2212yes—
221#2353C2214yes—
222#2352C2214yes—
223D4×C4⋊C4C2212yes—
224D4×C4⋊C4C2212yes—
225#2347C2212yes—
226#2346C2212yes—
227#2345C2212yes—
228#2344C2212yes—
229#2343C2214yes—
230#2343C2214yes—
231#2327C2212yes—
232#2327C2212yes—
233#2326C2212yes—
234#2326C2212yes—
235#2326C2212yes—
236#2326C2212yes—
237#2320C2212yes—
238#2320C2212yes—
239#2320C2212yes—
240#2319C2212yes—
241#2317C2211yescharacteristic
242#2317C2211yescharacteristic
243#2317C2211yescharacteristic
244#2316C2211yescharacteristic
245#2311C2211yescharacteristic
246#2311C2211yescharacteristic
247#2311C2211yescharacteristic
248#2310C2211yescharacteristic
249C4×C4⋊Q8C2212yes—
250C4×C4⋊Q8C2212yes—
251C4×C4⋊Q8C2212yes—
252C4×#127C2212yes—
253C4×#125C2214yes—
254C4×#124C2212yes—
255C4×#124C2212yes—
256C4×#123C2214yes—
257C4×#123C2212yes—
258C4×#123C2212yes—
259#2297C2211yescharacteristic
260#2297C2211yescharacteristic
261#2297C2211yescharacteristic
262#2296C2211yescharacteristic
263#2296C2211yescharacteristic
264#2296C2211yescharacteristic
265#2295C2212yes—
266#2295C2212yes—
267#2295C2212yes—
268#2295C2212yes—
269#2295C2212yes—
270#2295C2212yes—
271#2295C2214yes—
272C2×#391C2211yescharacteristic
273C2×#391C2211yescharacteristic
274C2×#391C2211yescharacteristic
275#2293C2212yes—
276C2×#389C2211yescharacteristic
277#2290C2214yes—
278C2×#387C2212yes—
279C2×#387C2212yes—
280C2×#384C2211yescharacteristic
281#2276C2212yes—
282#2275C2212yes—
283#2275C2214yes—
284#2274C2211yescharacteristic
285#2274C2212yes—
286#2274C2212yes—
287#2274C2211yescharacteristic
288C42×Q8C2212yes—
289C42×Q8C2212yes—
290C42×D4C2212yes—
291C42×D4C2214yes—
292C4×#117C2211yescharacteristic
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2212yes—
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302#536—28no—
303#536—28no—
304#533—28no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#126C2314yes—
313C2×#125C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#124C2311yescharacteristic
318C2×#124C2311yescharacteristic
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2312yes—
324C2×#123C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334#520—28no—
335#520—28no—
336#520—28no—
337#519—28no—
338C4×#41—28no—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2314yes—
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2314yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2314yes—
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C42C2312yes—
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2314yes—
394C22×C42C2312yes—
395#401C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2312yes—
418#399C2312yes—
419#399C2314yes—
420#399C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#395C2314yes—
458#394C2312yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#394C2312yes—
463#394C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#391C2312yes—
468#391C2311yescharacteristic
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2312yes—
488#391C2314yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#390C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#387C2314yes—
585#387C2312yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2312yes—
646#386C2314yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#382C2314yes—
689#382C2314yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2314yes—
694#382C2314yes—
695#382C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2312yes—
699#381C2314yes—
700#381C2312yes—
701#381C2314yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2314yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797#376C2312yes—
798#376C2312yes—
799#376C2312yes—
800#376C2314yes—
801#376C2314yes—
802#376C2314yes—
803#376C2314yes—
804C2×#95C2312yes—
805C2×#95C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2311yescharacteristic
812C2×#95C2311yescharacteristic
813C2×#95C2312yes—
814C2×#95C2314yes—
815C43C2314yes—
816C43C2312yes—
817C43C2312yes—
818C43C2312yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41#4118yes—
825C22×Q8—24no—
826C22×Q8—24no—
827C22×Q8—24no—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C4⋊Q8—24no—
859C4⋊Q8—28no—
860C4⋊Q8—24no—
861C4⋊Q8—24no—
862C4⋊Q8—28no—
863#127—24no—
864#126—84no—
865#125—24no—
866#125—24no—
867#125—48no—
868#125—84no—
869#124—24no—
870#124—24no—
871#124—28no—
872#124—28no—
873#123—216no—
874#123—28no—
875#123—216no—
876#123—44no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—84no—
884#121—28no—
885#121—28no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—28no—
894C4×Q8—28no—
895C4×Q8—28no—
896C4×Q8—28no—
897C4×Q8—28no—
898C4×Q8—44no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—28no—
902C4×D4—24no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—216no—
906C4×D4—216no—
907C4×D4—216no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—48no—
912C4×D4—84no—
913#117—28no—
914#117—24no—
915#117—24no—
916#117—24no—
917#117—24no—
918#117—28no—
919#117—28no—
920#117—28no—
921#117—216no—
922#117—84no—
923#117#4118yes—
924#117#4118yes—
925C2×C4⋊C4—24no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—24no—
928C2×C4⋊C4—28no—
929C2×C4⋊C4—28no—
930C2×C4⋊C4—28no—
931C2×C4⋊C4—24no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4—42no—
934C2×C4⋊C4—82no—
935C2×C4⋊C4—82no—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊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⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C42—28no—
1045C2×C42—24no—
1046C2×C42—24no—
1047C2×C42—24no—
1048C2×C42—84no—
1049C2×C42—82no—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175C24C2512yes—
1176C24C2512yes—
1177C24C2511yescharacteristic
1178#41—232no—
1179#41—416no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—416no—
1198C2×Q8C2×#4114yes—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4C2×#4118yes—
1216C2×D4C2×#4114yes—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—28no—
1242C22×C4—28no—
1243C22×C4—28no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—41no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—41no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4C2×#4118yes—
1268C22×C4C2×#4114yes—
1269C22×C4C2×#4114yes—
1270C22×C4C2×#4114yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2514yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2514yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—28no—
1319C4⋊C4—28no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—28no—
1333C4⋊C4—28no—
1334C4⋊C4—28no—
1335C4⋊C4—28no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—28no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4C2×#4114yes—
1370C4⋊C4C2×#4114yes—
1371C4⋊C4C2×#4114yes—
1372C4⋊C4C2×#4114yes—
1373C4⋊C42−1+414yes—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4C2×#4118yes—
1410C22⋊C4C2×#4118yes—
1411C42—22no—
1412C42—24no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—24no—
1417C42—22no—
1418C42—24no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—28no—
1427C42—28no—
1428C42—28no—
1429C42—24no—
1430C42—28no—
1431C42—28no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—42no—
1439C42—44no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42—44no—
1447C42—42no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—44no—
1452C42C2×#4118yes—
1453C42C2×#4118yes—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23C22×#4114yes—
1472C23C22×#4112yes—
1473C23C22×#4112yes—
1474C23C22×#4112yes—
1475C23C2611yescharacteristic
1476Q8—28no—
1477Q8—48no—
1478Q8—48no—
1479Q8—48no—
1480Q8—44no—
1481Q8—84no—
1482D4—216no—
1483D4—28no—
1484D4—48no—
1485D4—48no—
1486D4—48no—
1487D4—44no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—216no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—48no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—48no—
1576C2×C4—48no—
1577C2×C4—88no—
1578C2×C4—88no—
1579C2×C4—88no—
1580C2×C4—82no—
1581C2×C4—84no—
1582C2×C4—84no—
1583C2×C4—84no—
1584C2×C4—82no—
1585C2×C4—84no—
1586C2×C4#529116yes—
1587C2×C4C22×#4114yes—
1588C2×C4C22×#4114yes—
1589C2×C4C22×#4114yes—
1590C2×C4C22×#4114yes—
1591C2×C4C22×#4114yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4112yes—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4112yes—
1598C2×C4C2×2−1+412yes—
1599C2×C4C2×2−1+412yes—
1600C2×C4C2×2−1+412yes—
1601C2×C4#58512yes—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—24no—
1609C22—24no—
1610C22—24no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22C2×#52914yes—
1623C22C23×#4111yescharacteristic
1624C22C23×#4111yescharacteristic
1625C22C23×#4111yescharacteristic
1626C22C22×2−1+411yescharacteristic
1627C22C2×#58511yescharacteristic
1628C22H(7,𝔽2)11yescharacteristic
1629C222−1+611yescharacteristic
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—24no—
1634C4—24no—
1635C4—22no—
1636C4—24no—
1637C4—24no—
1638C4—24no—
1639C4—42no—
1640C4—41no—
1641C4—42no—
1642C4—41no—
1643C4—41no—
1644C4—42no—
1645C4—41no—
1646C4—42no—
1647C4—41no—
1648C4—42no—
1649C4—42no—
1650C4—44no—
1651C4—44no—
1652C4—41no—
1653C4—42no—
1654C4—41no—
1655C4—44no—
1656C4—41no—
1657C4—42no—
1658C4—42no—
1659C4—44no—
1660C4C2×#52914yes—
1661C4C2×#52914yes—
1662C2—24no—
1663C2—44no—
1664C2—82no—
1665C2C22×#52911yescharacteristic
1666C2#6280511yescharacteristic
1667C2#6285711yescharacteristic
1668C2#6299311yescharacteristic
1669C2#6300011yescharacteristic
1670C2#6300111yescharacteristic
1671C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#532C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36553C2semidirect
2. #36506C2semidirect
3. #36310C2semidirect
4. #36309C2semidirect
5. #36256C2semidirect
6. #36247C2semidirect
7. #36069C2semidirect
8. #36006C2semidirect
9. #35892C2semidirect
10. #35889C2semidirect
11. #35726C2semidirect
12. #35720C2semidirect
13. #35656C2semidirect
14. #35632C2semidirect
15. #35628C2semidirect
17. #35610C2semidirect
18. #35561C2semidirect
19. #35555C2semidirect
20. #35519C2semidirect
21. #35307C2semidirect
22. #35206C2semidirect
23. #35188C2semidirect
24. #35160C2semidirect
25. #34951C2semidirect
26. #34918C2semidirect
27. C2×#2511C2semidirect
29. #34276C2semidirect
30. #34276C2semidirect
31. #34254C2semidirect
32. #34253C2semidirect
34. #34145C2semidirect
35. C4×#520C2semidirect

Maximal subgroups

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

subgroupindex
#365532
#365062
#363102
#363092
#362562
#362472
#360692
#360062
#358922
#358892
#357262
#357202
#356562
#356322
#356282
#356212
#356102
#355612
#355552
#355192
#353072
#352062
#351882
#351602
#349512
#349182
C2×#25112
#347442
#342762
#342542
#342532
#342072
#341452
C4×#5202