Finite Group Databasebeta

← #7686305

Subgroups — #7686305

Order 512.

4507 conjugacy classes of subgroups.

The subgroup lattice has 1581 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59718C212yesmaximal, complemented
2#59666C211yesmaximal, characteristic, complemented
3#59616C214yesmaximal, complemented
4#59447C212yesmaximal, complemented
5#59261C212yesmaximal, complemented
6#59249C212yesmaximal, complemented
7#59071C211yesmaximal, characteristic, complemented
8#59067C211yesmaximal, characteristic, complemented
9#45179C212yesmaximal, complemented
10#45177C212yesmaximal
11#43866C214yesmaximal
12#43850C214yesmaximal, complemented
13#40472C214yesmaximal, complemented
14#40220C212yesmaximal, complemented
15#40095C212yesmaximal, complemented
16#39353C211yesmaximal, characteristic, complemented
17#39081C212yesmaximal, complemented
18#38931C211yesmaximal, characteristic, complemented
19#36556C211yesmaximal, characteristic, complemented
20#36509C212yesmaximal
21#36475C212yesmaximal, complemented
22#36408C212yesmaximal, complemented
23#36286C211yesmaximal, characteristic, complemented
24#36193C211yesmaximal, characteristic, complemented
25#36177C211yesmaximal, characteristic, complemented
26#36151C211yesmaximal, characteristic
27#35972C212yesmaximal, complemented
28#35720C212yesmaximal
29#34898C212yesmaximal
30#34898C211yesmaximal, characteristic
31#34286C212yesmaximal, complemented
32#34235C211yesmaximal, characteristic, complemented
33#34213C211yesmaximal, characteristic, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#554C211yesmaximal, characteristic
36C2×#557C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#541C2212yes—
39C2×#533C2211yescharacteristic
40C2×#533C2211yescharacteristic
41#2864C2214yes—
42#2864C2212yes—
43#2863C2212yes—
44#2862C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2855C2212yes—
48#2855C2212yes—
49#2810C2214yes—
50#2802C2214yes—
51#2794C2214yes—
52#2787C2214yes—
53#2776C2214yes—
54#2767C2214yes—
55#2767C2214yes—
56#2767C2214yes—
57#2766C2214yes—
58#2758C2214yes—
59#2744C2214yes—
60#2738C2214yes—
61#2722C2214yes—
62#2720C2214yes—
63#2720C2214yes—
64#2719C2214yes—
65#2719C2214yes—
66#2719C2214yes—
67#2698C2214yes—
68#2698C2214yes—
69#2689C2214yes—
70#2666C2214yes—
71#2652C2214yes—
72#2647C2212yes—
73#2625C2212yes—
74#2612C2214yes—
75#2606C2214yes—
76#2605C2214yes—
77#2590C2214yes—
78#2590C2214yes—
79#2590C2214yes—
80#2588C2214yes—
81#2588C2214yes—
82#2588C2214yes—
83#2585C2214yes—
84#2582C2212yes—
85#2581C2212yes—
86#2581C2212yes—
87#2577C2212yes—
88#2577C2214yes—
89#2575C2214yes—
90#2575C2212yes—
91#2575C2214yes—
92#2573C2214yes—
93#2571C2211yescharacteristic
94#2570C2212yes—
95#2570C2214yes—
96#2570C2211yescharacteristic
97#2570C2212yes—
98#2570C2214yes—
99#2568C2211yescharacteristic
100#2567C2211yescharacteristic
101#2567C2211yescharacteristic
102#2565C2212yes—
103#2565C2211yescharacteristic
104#2562C2211yescharacteristic
105#2552C2211yescharacteristic
106#2552C2212yes—
107#2552C2212yes—
108#2550C2212yes—
109#2546C2211yescharacteristic
110#2536C2212yes—
111#2536C2211yescharacteristic
112#2533C2214yes—
113#2533C2214yes—
114#2528C2214yes—
115#2524C2214yes—
116#2524C2214yes—
117#2524C2214yes—
118#2524C2212yes—
119#2524C2214yes—
120#2524C2214yes—
121#2520C2214yes—
122#2520C2214yes—
123#2520C2214yes—
124#2517C2214yes—
125#2515C2214yes—
126#2515C2214yes—
127#2514C2212yes—
128#2514C2212yes—
129#2511C2214yes—
130#2511C2212yes—
131#2511C2212yes—
132#2511C2212yes—
133#2509C2212yes—
134#2509C2214yes—
135#2509C2212yes—
136#2508C2212yes—
137#2508C2212yes—
138#2508C2214yes—
139#2508C2212yes—
140#2508C2212yes—
141#2507C2212yes—
142#2507C2214yes—
143#2507C2212yes—
144#2506C2214yes—
145#2506C2212yes—
146#2503C2212yes—
147#2496C2212yes—
148#2496C2212yes—
149#2496C2212yes—
150#2496C2214yes—
151#2496C2211yescharacteristic
152#2496C2212yes—
153#2495C2212yes—
154#2495C2211yescharacteristic
155#2493C2214yes—
156#2489C2212yes—
157#2489C2212yes—
158#2489C2212yes—
159#2489C2214yes—
160#2478C2214yes—
161#2478C2214yes—
162#2475C2214yes—
163#2468C2212yes—
164#2468C2214yes—
165#2466C2214yes—
166#2466C2214yes—
167#2462C2214yes—
168#2453C2212yes—
169#2453C2212yes—
170#2453C2212yes—
171#2453C2212yes—
172#2453C2212yes—
173#2451C2212yes—
174#2446C2212yes—
175#2446C2212yes—
176#2446C2212yes—
177#2446C2212yes—
178#2442C2212yes—
179#2441C2212yes—
180#2438C2214yes—
181#2429C2212yes—
182#2429C2212yes—
183#2429C2212yes—
184#2423C2212yes—
185#2423C2211yescharacteristic
186#2421C2212yes—
187#2421C2211yescharacteristic
188#2421C2212yes—
189#2421C2212yes—
190#2421C2212yes—
191#2415C2212yes—
192#2415C2212yes—
193#2402C2214yes—
194#2402C2212yes—
195#2395C2214yes—
196#2395C2212yes—
197#2373C2214yes—
198#2373C2214yes—
199#2373C2214yes—
200#2371C2214yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2212yes—
204#2370C2212yes—
205#2370C2214yes—
206#2370C2214yes—
207#2370C2212yes—
208#2370C2212yes—
209#2369C2211yescharacteristic
210#2369C2211yescharacteristic
211#2369C2211yescharacteristic
212#2368C2212yes—
213#2368C2212yes—
214#2365C2211yescharacteristic
215#2365C2211yescharacteristic
216#2365C2212yes—
217#2365C2212yes—
218#2365C2211yescharacteristic
219#2365C2211yescharacteristic
220#2365C2212yes—
221#2365C2211yescharacteristic
222#2362C2212yes—
223#2362C2212yes—
224#2362C2212yes—
225#2360C2211yescharacteristic
226#2360C2212yes—
227#2360C2212yes—
228#2360C2212yes—
229#2360C2211yescharacteristic
230#2356C2212yes—
231#2356C2212yes—
232#2356C2212yes—
233#2355C2212yes—
234#2355C2214yes—
235#2355C2211yescharacteristic
236#2355C2212yes—
237#2355C2212yes—
238#2355C2211yescharacteristic
239#2355C2212yes—
240#2351C2212yes—
241#2351C2212yes—
242#2351C2212yes—
243#2351C2212yes—
244#2351C2212yes—
245Q8×C4⋊C4C2211yescharacteristic
246Q8×C4⋊C4C2212yes—
247Q8×C4⋊C4C2212yes—
248#2349C2212yes—
249D4×C4⋊C4C2211yescharacteristic
250#2345C2211yescharacteristic
251#2345C2211yescharacteristic
252#2344C2212yes—
253#2343C2214yes—
254#2336C2214yes—
255#2336C2214yes—
256#2334C2214yes—
257#2329C2214yes—
258#2320C2212yes—
259#2320C2212yes—
260#2317C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×#125C2211yescharacteristic
265C4×#125C2214yes—
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2214yes—
270C4×#126C2214yes—
271C4×#126C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282#2298C2214yes—
283#2298C2212yes—
284#2295C2212yes—
285#2285C2212yes—
286#2285C2211yescharacteristic
287#2283C2211yescharacteristic
288#2283C2212yes—
289#2276C2212yes—
290#2274C2212yes—
291C42×Q8C2212yes—
292C42×Q8C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#557—28no—
300#554—28no—
301#541—216no—
302#533—28no—
303#533—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2314yes—
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370C22×C42C2312yes—
371C22×C42C2312yes—
372#401C2314yes—
373#400C2312yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#399C2312yes—
404#399C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2312yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#396C2314yes—
442#396C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#394C2312yes—
448#394C2314yes—
449#394C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2311yescharacteristic
457#391C2311yescharacteristic
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2311yescharacteristic
464#391C2312yes—
465#391C2312yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2312yes—
480#389C2312yes—
481#389C2312yes—
482#389C2311yescharacteristic
483#389C2311yescharacteristic
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2314yes—
488#389C2314yes—
489#389C2314yes—
490#389C2314yes—
491#389C2312yes—
492#389C2312yes—
493#389C2314yes—
494#389C2314yes—
495#389C2311yescharacteristic
496#389C2311yescharacteristic
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2314yes—
505#389C2314yes—
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2314yes—
509#389C2311yescharacteristic
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2314yes—
546#388C2312yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2312yes—
561#387C2312yes—
562#387C2312yes—
563#387C2314yes—
564#387C2312yes—
565#387C2312yes—
566#387C2312yes—
567#387C2312yes—
568#387C2314yes—
569#387C2312yes—
570#387C2314yes—
571#387C2314yes—
572#387C2312yes—
573#387C2314yes—
574#387C2312yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2312yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2312yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
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#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
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#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2312yes—
645#385C2312yes—
646#385C2314yes—
647#385C2312yes—
648#385C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2312yes—
653#385C2312yes—
654#385C2312yes—
655#384C2312yes—
656#384C2311yescharacteristic
657#384C2311yescharacteristic
658#384C2312yes—
659#384C2311yescharacteristic
660#384C2312yes—
661#384C2312yes—
662#384C2314yes—
663#384C2311yescharacteristic
664#384C2314yes—
665#383C2314yes—
666#383C2312yes—
667#383C2314yes—
668#383C2314yes—
669#383C2312yes—
670#383C2314yes—
671#383C2314yes—
672#382C2312yes—
673#382C2311yescharacteristic
674#382C2314yes—
675#382C2312yes—
676#382C2312yes—
677#382C2314yes—
678#382C2311yescharacteristic
679#382C2312yes—
680#382C2312yes—
681#382C2314yes—
682#382C2311yescharacteristic
683#382C2314yes—
684#382C2314yes—
685#382C2314yes—
686#382C2312yes—
687#382C2314yes—
688#382C2312yes—
689#382C2314yes—
690#382C2314yes—
691#382C2312yes—
692#381C2314yes—
693#381C2312yes—
694#381C2314yes—
695#381C2314yes—
696#380C2311yescharacteristic
697#380C2311yescharacteristic
698#380C2311yescharacteristic
699#380C2311yescharacteristic
700#380C2312yes—
701#380C2314yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2311yescharacteristic
706#380C2311yescharacteristic
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C43C2314yes—
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×D4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C4⋊Q8—28no—
833C4⋊Q8—28no—
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837C4⋊Q8#4118yes—
838#126—216no—
839#126—216no—
840#126—44no—
841#126—48no—
842#125—28no—
843#125—28no—
844#125—28no—
845#125—216no—
846#125—216no—
847#125—28no—
848#125—216no—
849#125—28no—
850#125—24no—
851C22⋊Q8—28no—
852C22⋊Q8—28no—
853C22⋊Q8—24no—
854C22⋊Q8—28no—
855C22⋊Q8—28no—
856C22⋊Q8—28no—
857C22⋊Q8—28no—
858C22⋊Q8—28no—
859C22⋊Q8—44no—
860C22⋊Q8—42no—
861C22⋊Q8—42no—
862C22⋊Q8#4118yes—
863C4×Q8—28no—
864C4×Q8—28no—
865C4×Q8—28no—
866C4×Q8—24no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×Q8—42no—
883C4×D4—24no—
884C4×D4—28no—
885C4×D4—24no—
886C4×D4—44no—
887C4×D4—42no—
888#117—28no—
889#117—28no—
890#117—28no—
891#117—48no—
892C2×C4⋊C4—24no—
893C2×C4⋊C4—24no—
894C2×C4⋊C4—24no—
895C2×C4⋊C4—24no—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
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⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C42—24no—
1005C2×C42—24no—
1006C2×C42—44no—
1007C2×C42—44no—
1008C2×C42C2412yes—
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2412yes—
1078#95C2412yes—
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2412yes—
1082#95C2411yescharacteristic
1083#95C2412yes—
1084#95C2412yes—
1085#95C2411yescharacteristic
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146C24C2511yescharacteristic
1147C24C2511yescharacteristic
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—24no—
1159C2×Q8—22no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8C2×#4118yes—
1165C2×Q8C2×#4114yes—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—24no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—42no—
1189C22×C4—41no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4C2×#4114yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2514yes—
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2514yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2514yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C4⋊C4—22no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—28no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—28no—
1256C4⋊C4—28no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—28no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—41no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4C2×#4114yes—
1314C4⋊C4C2×#4118yes—
1315C4⋊C4C2×#4118yes—
1316C4⋊C4C2×#4118yes—
1317C4⋊C42−1+414yes—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—22no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—22no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—22no—
1330C22⋊C4—24no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—41no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4C2×#4118yes—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—22no—
1346C42—28no—
1347C42—28no—
1348C42—24no—
1349C42—24no—
1350C42—24no—
1351C42—22no—
1352C42—28no—
1353C42—24no—
1354C42—24no—
1355C42—28no—
1356C42—28no—
1357C42—24no—
1358C42—22no—
1359C42—28no—
1360C42—24no—
1361C42—28no—
1362C42—24no—
1363C42—24no—
1364C42—24no—
1365C42—24no—
1366C42—22no—
1367C42—42no—
1368C42—42no—
1369C42—42no—
1370C42—42no—
1371C42—41no—
1372C42—42no—
1373C42—42no—
1374C42—44no—
1375C42—44no—
1376C42—42no—
1377C42—41no—
1378C42—44no—
1379C42—44no—
1380C42—44no—
1381C42—42no—
1382C42—42no—
1383C42—44no—
1384C42C2×#4114yes—
1385C422−1+414yes—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23C22×#4112yes—
1399C23#58512yes—
1400C23C2611yescharacteristic
1401Q8—28no—
1402Q8—216no—
1403Q8—48no—
1404Q8—44no—
1405Q8—84no—
1406Q8—84no—
1407D4—28no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—24no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—24no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—28no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—24no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—44no—
1495C2×C4—48no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—84no—
1500C2×C4—82no—
1501C2×C4—84no—
1502C2×C4—84no—
1503C2×C4C22×#4118yes—
1504C2×C4C22×#4114yes—
1505C2×C4C22×#4112yes—
1506C2×C4C22×#4114yes—
1507C2×C4C22×#4112yes—
1508C2×C4C22×#4112yes—
1509C2×C4C22×#4112yes—
1510C2×C4C22×#4112yes—
1511C2×C4C2×2−1+412yes—
1512C2×C4C2×2−1+414yes—
1513C2×C4C2×2−1+412yes—
1514C2×C4C2×2−1+412yes—
1515C2×C4C2×2−1+412yes—
1516C2×C4#58512yes—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22C23×#4111yescharacteristic
1532C22C23×#4111yescharacteristic
1533C22C22×2−1+411yescharacteristic
1534C22C22×2−1+411yescharacteristic
1535C22C2×#58511yescharacteristic
1536C22C2×#58511yescharacteristic
1537C222−1+611yescharacteristic
1538C4—24no—
1539C4—22no—
1540C4—24no—
1541C4—28no—
1542C4—22no—
1543C4—22no—
1544C4—22no—
1545C4—24no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—42no—
1550C4—41no—
1551C4—42no—
1552C4—42no—
1553C4—41no—
1554C4—41no—
1555C4—44no—
1556C4—41no—
1557C4—42no—
1558C4—42no—
1559C4—42no—
1560C4—41no—
1561C4—41no—
1562C4—42no—
1563C4—42no—
1564C4—44no—
1565C4—42no—
1566C4—42no—
1567C4—41no—
1568C4—44no—
1569C4#348214yes—
1570C4#351514yes—
1571C2—42no—
1572C2—42no—
1573C2C2×#348211yescharacteristic
1574C2C2×#351511yescharacteristic
1575C2#6278811yescharacteristic
1576C2#6294711yescharacteristic
1577C2#6299511yescharacteristic
1578C2#6300511yescharacteristic
1579C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59718C2semidirect
2. #59666C2semidirect
3. #59616C2semidirect
4. #59447C2semidirect
5. #59261C2semidirect
6. #59249C2semidirect
7. #59071C2semidirect
8. #59067C2semidirect
9. #45179C2semidirect
12. #43850C2semidirect
13. #40472C2semidirect
14. #40220C2semidirect
15. #40095C2semidirect
16. #39353C2semidirect
17. #39081C2semidirect
18. #38931C2semidirect
19. #36556C2semidirect
21. #36475C2semidirect
22. #36408C2semidirect
23. #36286C2semidirect
24. #36193C2semidirect
25. #36177C2semidirect
27. #35972C2semidirect
31. #34286C2semidirect
32. #34235C2semidirect
33. #34213C2semidirect
34. C4×#557C2semidirect

Maximal subgroups

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

subgroupindex
#597182
#596662
#596162
#594472
#592612
#592492
#590712
#590672
#451792
#451772
#438662
#438502
#404722
#402202
#400952
#393532
#390812
#389312
#365562
#365092
#364752
#364082
#362862
#361932
#361772
#361512
#359722
#357202
#348982
#342862
#342352
#342132
C4×#5572
C4×#5542