Finite Group Databasebeta

← #7683749

Subgroups — #7683749

Order 512.

4584 conjugacy classes of subgroups.

The subgroup lattice has 1597 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59963C212yesmaximal, complemented
2#59895C212yesmaximal, complemented
3#59565C212yesmaximal, complemented
4#59547C212yesmaximal, complemented
5#59495C214yesmaximal, complemented
6#59347C214yesmaximal, complemented
7#59333C212yesmaximal, complemented
8#59333C212yesmaximal, complemented
9#59256C212yesmaximal, complemented
10#59242C212yesmaximal, complemented
11#45414C212yesmaximal, complemented
12#45383C212yesmaximal, complemented
13#45328C212yesmaximal, complemented
14#45179C212yesmaximal, complemented
15#45169C212yesmaximal, complemented
16#45145C212yesmaximal, complemented
17#45119C212yesmaximal, complemented
18#44956C212yesmaximal, complemented
19#43689C214yesmaximal, complemented
20#43624C214yesmaximal, complemented
21#35662C211yesmaximal, characteristic, complemented
22#35630C211yesmaximal, characteristic, complemented
23#35627C211yesmaximal, characteristic, complemented
24#35619C211yesmaximal, characteristic
25#35619C211yesmaximal, characteristic
26#35543C211yesmaximal, characteristic, complemented
27#34948C211yesmaximal, characteristic, complemented
28C2×#2514C211yesmaximal, characteristic, complemented
29#34745C211yesmaximal, characteristic
30#34268C211yesmaximal, characteristic
31#34254C211yesmaximal, characteristic, complemented
32#34253C211yesmaximal, characteristic
33#34252C211yesmaximal, characteristic
34#34213C211yesmaximal, characteristic, complemented
35#34184C211yesmaximal, characteristic
36C2×#536C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#520C2211yescharacteristic
39C2×#520C2211yescharacteristic
40C2×#519C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2787C2214yes—
43#2787C2214yes—
44#2776C2214yes—
45#2774C2214yes—
46#2771C2214yes—
47#2770C2214yes—
48#2770C2214yes—
49#2769C2214yes—
50#2767C2214yes—
51#2767C2214yes—
52#2767C2214yes—
53#2766C2214yes—
54#2766C2214yes—
55#2765C2214yes—
56#2765C2214yes—
57#2764C2214yes—
58#2762C2214yes—
59#2762C2214yes—
60#2758C2214yes—
61#2745C2214yes—
62#2744C2214yes—
63#2739C2214yes—
64#2738C2214yes—
65#2719C2214yes—
66#2612C2214yes—
67#2611C2214yes—
68#2606C2214yes—
69#2599C2214yes—
70#2590C2214yes—
71#2585C2214yes—
72#2582C2212yes—
73#2582C2212yes—
74#2581C2212yes—
75#2581C2212yes—
76#2575C2214yes—
77#2573C2214yes—
78#2571C2212yes—
79#2571C2212yes—
80#2571C2212yes—
81#2571C2211yescharacteristic
82#2571C2211yescharacteristic
83#2570C2212yes—
84#2570C2212yes—
85#2570C2212yes—
86#2570C2211yescharacteristic
87#2570C2212yes—
88#2570C2211yescharacteristic
89#2570C2211yescharacteristic
90#2570C2211yescharacteristic
91#2569C2212yes—
92#2569C2212yes—
93#2552C2211yescharacteristic
94#2552C2212yes—
95#2552C2211yescharacteristic
96#2533C2214yes—
97#2533C2214yes—
98#2528C2214yes—
99#2528C2214yes—
100#2528C2214yes—
101#2528C2214yes—
102#2528C2214yes—
103#2527C2214yes—
104#2524C2214yes—
105#2524C2214yes—
106#2524C2214yes—
107#2524C2214yes—
108#2515C2214yes—
109#2514C2212yes—
110#2514C2212yes—
111#2514C2212yes—
112#2514C2212yes—
113#2514C2212yes—
114#2514C2212yes—
115#2514C2212yes—
116#2514C2212yes—
117#2514C2214yes—
118#2514C2212yes—
119#2514C2212yes—
120#2514C2212yes—
121#2514C2212yes—
122#2511C2212yes—
123#2511C2212yes—
124#2511C2212yes—
125#2511C2212yes—
126#2509C2212yes—
127#2509C2212yes—
128#2509C2212yes—
129#2508C2212yes—
130#2508C2212yes—
131#2508C2214yes—
132#2508C2212yes—
133#2507C2212yes—
134#2506C2212yes—
135#2505C2214yes—
136#2505C2214yes—
137#2505C2214yes—
138#2503C2212yes—
139#2503C2212yes—
140#2502C2212yes—
141#2502C2212yes—
142#2499C2212yes—
143#2499C2212yes—
144#2499C2212yes—
145#2499C2212yes—
146#2495C2214yes—
147#2494C2214yes—
148#2493C2214yes—
149#2493C2214yes—
150#2493C2214yes—
151#2493C2214yes—
152#2493C2214yes—
153#2493C2214yes—
154#2489C2214yes—
155#2475C2214yes—
156#2475C2214yes—
157#2473C2214yes—
158#2462C2214yes—
159#2454C2211yescharacteristic
160#2454C2211yescharacteristic
161#2453C2211yescharacteristic
162#2453C2212yes—
163#2453C2212yes—
164#2453C2211yescharacteristic
165#2452C2211yescharacteristic
166#2452C2211yescharacteristic
167#2451C2212yes—
168#2451C2212yes—
169#2451C2211yescharacteristic
170#2451C2211yescharacteristic
171#2450C2212yes—
172#2450C2212yes—
173#2449C2212yes—
174#2449C2212yes—
175#2447C2212yes—
176#2447C2212yes—
177#2447C2212yes—
178#2447C2212yes—
179#2446C2212yes—
180#2446C2212yes—
181#2446C2212yes—
182#2446C2212yes—
183#2442C2212yes—
184#2442C2212yes—
185#2438C2214yes—
186#2438C2214yes—
187#2438C2214yes—
188#2438C2214yes—
189#2421C2214yes—
190#2419C2214yes—
191#2419C2214yes—
192#2419C2214yes—
193#2419C2214yes—
194#2402C2212yes—
195#2402C2212yes—
196C2×#401C2212yes—
197#2396C2212yes—
198#2396C2212yes—
199C2×#400C2212yes—
200#2370C2214yes—
201#2370C2212yes—
202#2370C2212yes—
203#2369C2212yes—
204#2367C2212yes—
205#2367C2212yes—
206#2365C2212yes—
207#2365C2212yes—
208#2365C2212yes—
209#2359C2214yes—
210#2359C2214yes—
211#2357C2212yes—
212#2356C2212yes—
213#2356C2212yes—
214#2356C2214yes—
215#2356C2212yes—
216#2355C2212yes—
217#2355C2212yes—
218#2355C2212yes—
219#2355C2212yes—
220#2355C2212yes—
221#2355C2212yes—
222#2354C2212yes—
223#2353C2214yes—
224#2352C2214yes—
225#2351C2212yes—
226#2351C2212yes—
227Q8×C4⋊C4C2212yes—
228#2349C2212yes—
229#2349C2214yes—
230#2349C2214yes—
231#2349C2212yes—
232#2347C2212yes—
233#2347C2212yes—
234#2346C2212yes—
235#2346C2212yes—
236#2345C2212yes—
237#2345C2212yes—
238#2344C2212yes—
239#2344C2212yes—
240#2343C2214yes—
241#2343C2214yes—
242#2343C2214yes—
243#2343C2214yes—
244#2329C2214yes—
245#2323C2212yes—
246#2323C2212yes—
247#2320C2212yes—
248#2320C2212yes—
249#2320C2212yes—
250#2319C2212yes—
251#2318C2214yes—
252#2317C2212yes—
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2212yes—
258#2317C2211yescharacteristic
259#2316C2211yescharacteristic
260#2311C2211yescharacteristic
261#2310C2211yescharacteristic
262#2310C2211yescharacteristic
263C4×#125C2212yes—
264C4×#125C2212yes—
265C4×C22⋊Q8C2214yes—
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yes—
270#2297C2211yescharacteristic
271#2297C2211yescharacteristic
272#2296C2211yescharacteristic
273#2296C2211yescharacteristic
274#2296C2211yescharacteristic
275#2296C2211yescharacteristic
276#2295C2212yes—
277#2295C2212yes—
278#2295C2212yes—
279C2×#391C2211yescharacteristic
280C2×#391C2211yescharacteristic
281C2×#391C2211yescharacteristic
282#2293C2212yes—
283C2×#389C2211yescharacteristic
284#2290C2214yes—
285C2×#387C2212yes—
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2285C2212yes—
290C2×#383C2212yes—
291C2×#382C2211yescharacteristic
292C2×#382C2212yes—
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#536—28no—
302#533—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×#125C2311yescharacteristic
307C2×#125C2311yescharacteristic
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2314yes—
311C2×#124C2312yes—
312C2×#123C2314yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319#520—28no—
320#520—28no—
321#519—28no—
322C4×#41—28no—
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2314yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2314yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×#117C2311yescharacteristic
343C2×#117C2311yescharacteristic
344C2×#117C2311yescharacteristic
345C2×#117C2311yescharacteristic
346C2×#117C2311yescharacteristic
347C2×#117C2312yes—
348C2×#117C2311yescharacteristic
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2314yes—
352C2×#117C2314yes—
353C2×#117C2314yes—
354C2×#117C2311yescharacteristic
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2312yes—
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2312yes—
368#401C2314yes—
369#401C2314yes—
370#401C2314yes—
371#401C2314yes—
372#401C2314yes—
373#401C2314yes—
374#400C2312yes—
375#400C2312yes—
376#400C2312yes—
377#400C2312yes—
378#400C2314yes—
379#400C2312yes—
380#400C2312yes—
381#400C2312yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#399C2312yes—
411#399C2312yes—
412#398C2312yes—
413#398C2312yes—
414#398C2312yes—
415#398C2312yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#398C2312yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2312yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#396C2312yes—
447#396C2312yes—
448#396C2312yes—
449#396C2312yes—
450#395C2314yes—
451#395C2314yes—
452#395C2312yes—
453#395C2312yes—
454#393C2312yes—
455#393C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2311yescharacteristic
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2311yescharacteristic
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#390C2312yes—
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#390C2311yescharacteristic
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2311yescharacteristic
502#389C2312yes—
503#389C2312yes—
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#387C2312yes—
561#387C2312yes—
562#387C2312yes—
563#387C2312yes—
564#387C2312yes—
565#387C2312yes—
566#387C2312yes—
567#387C2312yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
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#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#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#386C2314yes—
629#386C2312yes—
630#386C2312yes—
631#386C2312yes—
632#386C2312yes—
633#385C2312yes—
634#385C2312yes—
635#385C2312yes—
636#385C2312yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2312yes—
648#385C2312yes—
649#385C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2312yes—
658#385C2312yes—
659#385C2312yes—
660#384C2311yescharacteristic
661#384C2312yes—
662#384C2312yes—
663#384C2311yescharacteristic
664#384C2311yescharacteristic
665#384C2311yescharacteristic
666#384C2311yescharacteristic
667#384C2312yes—
668#384C2311yescharacteristic
669#384C2312yes—
670#384C2312yes—
671#383C2314yes—
672#383C2314yes—
673#383C2314yes—
674#383C2314yes—
675#383C2314yes—
676#383C2314yes—
677#383C2314yes—
678#383C2314yes—
679#383C2314yes—
680#383C2314yes—
681#382C2312yes—
682#382C2312yes—
683#382C2311yescharacteristic
684#382C2312yes—
685#382C2311yescharacteristic
686#382C2312yes—
687#382C2312yes—
688#382C2311yescharacteristic
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2311yescharacteristic
692#382C2311yescharacteristic
693#382C2312yes—
694#382C2314yes—
695#382C2314yes—
696#382C2314yes—
697#382C2312yes—
698#382C2312yes—
699#382C2314yes—
700#382C2314yes—
701#382C2314yes—
702#382C2314yes—
703#382C2314yes—
704#382C2314yes—
705#382C2312yes—
706#382C2312yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2314yes—
712#381C2314yes—
713#381C2314yes—
714#381C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796#376C2312yes—
797#376C2314yes—
798#376C2314yes—
799#376C2314yes—
800#376C2314yes—
801C2×#95C2311yescharacteristic
802C2×#95C2311yescharacteristic
803C2×#95C2312yes—
804C2×#95C2312yes—
805C2×#95C2312yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41#4118yes—
819C22×Q8—24no—
820C22×Q8—24no—
821C22×Q8—24no—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2414yes—
836C23×C4C2414yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C4⋊Q8—28no—
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848#125—24no—
849#125—24no—
850#125—44no—
851#125—48no—
852#125—44no—
853#124—28no—
854#123—216no—
855C22⋊Q8—28no—
856C22⋊Q8—28no—
857C22⋊Q8—28no—
858C22⋊Q8—28no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—48no—
872C4×D4—216no—
873C4×D4—216no—
874C4×D4—28no—
875C4×D4—28no—
876C4×D4—24no—
877C4×D4—24no—
878C4×D4—28no—
879C4×D4—28no—
880#117—24no—
881#117—28no—
882#117—28no—
883#117—24no—
884#117—24no—
885#117—24no—
886#117—24no—
887#117—24no—
888#117—216no—
889#117—28no—
890#117—48no—
891#117—48no—
892#117#4118yes—
893C2×C4⋊C4—28no—
894C2×C4⋊C4—28no—
895C2×C4⋊C4—24no—
896C2×C4⋊C4—24no—
897C2×C4⋊C4—24no—
898C2×C4⋊C4—44no—
899C2×C4⋊C4—42no—
900C2×C4⋊C4—42no—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C42—24no—
1009C2×C42—24no—
1010C2×C42—24no—
1011C2×C42—28no—
1012C2×C42—44no—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2411yescharacteristic
1062#95C2411yescharacteristic
1063#95C2414yes—
1064#95C2414yes—
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146C24C2512yes—
1147C24C2511yescharacteristic
1148#41—232no—
1149C2×Q8—22no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—22no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—24no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—416no—
1164C2×Q8C2×#4114yes—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4C2×#4118yes—
1170C2×D4C2×#4114yes—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—22no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—22no—
1177C22×C4—24no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—28no—
1182C22×C4—28no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—42no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—42no—
1215C22×C4C2×#4118yes—
1216C22×C4C2×#4114yes—
1217C22×C4C2×#4114yes—
1218C22×C42−1+414yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2514yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2514yes—
1227C22×C4C2514yes—
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2514yes—
1231C22×C4C2512yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—28no—
1267C4⋊C4—28no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—28no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—28no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—44no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4C2×#4114yes—
1335C4⋊C4C2×#4114yes—
1336C22⋊C4—24no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4C2×#4118yes—
1359C42—22no—
1360C42—22no—
1361C42—24no—
1362C42—24no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—22no—
1368C42—22no—
1369C42—28no—
1370C42—28no—
1371C42—24no—
1372C42—24no—
1373C42—24no—
1374C42—28no—
1375C42—28no—
1376C42—24no—
1377C42—24no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—24no—
1383C42—28no—
1384C42—24no—
1385C42—44no—
1386C42—42no—
1387C42—44no—
1388C42—42no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C42—44no—
1393C42—42no—
1394C42—44no—
1395C42C2×#4118yes—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23C22×#4114yes—
1407C23C22×#4112yes—
1408C23C22×#4112yes—
1409C23C2×2−1+412yes—
1410C23C2611yescharacteristic
1411Q8—28no—
1412Q8—48no—
1413Q8—48no—
1414Q8—48no—
1415Q8—84no—
1416D4—216no—
1417D4—28no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—216no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—48no—
1510C2×C4—84no—
1511C2×C4—84no—
1512C2×C4—82no—
1513C2×C4—84no—
1514C2×C4—84no—
1515C2×C4—88no—
1516C2×C4—88no—
1517C2×C4—82no—
1518C2×C4—82no—
1519C2×C4—84no—
1520C2×C4—82no—
1521C2×C4#552116yes—
1522C2×C4C22×#4114yes—
1523C2×C4C22×#4114yes—
1524C2×C4C22×#4114yes—
1525C2×C4C22×#4112yes—
1526C2×C4C22×#4112yes—
1527C2×C4C22×#4112yes—
1528C2×C4C22×#4112yes—
1529C2×C4C2×2−1+412yes—
1530C2×C4C2×2−1+412yes—
1531C2×C4#58512yes—
1532C2×C4#58512yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—24no—
1540C22—24no—
1541C22—24no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22C2×#55214yes—
1547C22C23×#4111yescharacteristic
1548C22C23×#4111yescharacteristic
1549C22C22×2−1+411yescharacteristic
1550C22C2×#58511yescharacteristic
1551C22C2×#58511yescharacteristic
1552C222−1+611yescharacteristic
1553C222−1+611yescharacteristic
1554C4—22no—
1555C4—24no—
1556C4—24no—
1557C4—22no—
1558C4—24no—
1559C4—42no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—42no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—44no—
1569C4—42no—
1570C4—42no—
1571C4—44no—
1572C4—42no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—42no—
1578C4—42no—
1579C4—41no—
1580C4—44no—
1581C4—42no—
1582C4—41no—
1583C4—41no—
1584C4—44no—
1585C4C2×#55214yes—
1586C4C2×#55214yes—
1587C2—24no—
1588C2—44no—
1589C2C22×#55211yescharacteristic
1590C2#6283111yescharacteristic
1591C2#6288911yescharacteristic
1592C2#6299311yescharacteristic
1593C2#6299511yescharacteristic
1594C2#6299511yescharacteristic
1595C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59963C2semidirect
2. #59895C2semidirect
3. #59565C2semidirect
4. #59547C2semidirect
5. #59495C2semidirect
6. #59347C2semidirect
7. #59333C2semidirect
8. #59333C2semidirect
9. #59256C2semidirect
10. #59242C2semidirect
11. #45414C2semidirect
12. #45383C2semidirect
13. #45328C2semidirect
14. #45179C2semidirect
15. #45169C2semidirect
16. #45145C2semidirect
17. #45119C2semidirect
18. #44956C2semidirect
19. #43689C2semidirect
20. #43624C2semidirect
21. #35662C2semidirect
22. #35630C2semidirect
23. #35627C2semidirect
26. #35543C2semidirect
27. #34948C2semidirect
28. C2×#2514C2semidirect
31. #34254C2semidirect
34. #34213C2semidirect

Maximal subgroups

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

subgroupindex
#599632
#598952
#595652
#595472
#594952
#593472
#593332
#592562
#592422
#454142
#453832
#453282
#451792
#451692
#451452
#451192
#449562
#436892
#436242
#356622
#356302
#356272
#356192
#355432
#349482
C2×#25142
#347452
#342682
#342542
#342532
#342522
#342132
#341842