Finite Group Databasebeta

← #7987084

Subgroups — #7987084

Order 512.

4345 conjugacy classes of subgroups.

The subgroup lattice has 1577 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59660C211yesmaximal, characteristic
2#59655C211yesmaximal, characteristic, complemented
3#59655C211yesmaximal, characteristic, complemented
4#59583C212yesmaximal, complemented
5#59251C212yesmaximal, complemented
6#51742C214yesmaximal, complemented
7#51738C214yesmaximal, complemented
8#46195C214yesmaximal, complemented
9#45360C212yesmaximal, complemented
10#45311C212yesmaximal, complemented
11#45174C212yesmaximal, complemented
12#45173C212yesmaximal, complemented
13#42772C212yesmaximal, complemented
14#42770C212yesmaximal, complemented
15#42574C212yesmaximal, complemented
16#42573C212yesmaximal, complemented
17#39762C211yesmaximal, characteristic, complemented
18#39761C211yesmaximal, characteristic, complemented
19#39633C211yesmaximal, characteristic, complemented
20#39257C214yesmaximal, complemented
21#39193C211yesmaximal, characteristic
22#39082C212yesmaximal, complemented
23#38937C212yesmaximal, complemented
24#36563C211yesmaximal, characteristic, complemented
25#36285C211yesmaximal, characteristic, complemented
26#36255C212yesmaximal, complemented
27#36250C212yesmaximal, complemented
28#36174C211yesmaximal, characteristic
29#35235C212yesmaximal, complemented
30#35214C212yesmaximal, complemented
31#34945C211yesmaximal, characteristic, complemented
32#34902C211yesmaximal, characteristic, complemented
33#34491C211yesmaximal, characteristic, complemented
34#34484C211yesmaximal, characteristic, complemented
35C4×#554C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#554C2211yescharacteristic
39#2868C2211yescharacteristic
40#2863C2212yes—
41#2859C2211yescharacteristic
42#2859C2211yescharacteristic
43#2855C2214yes—
44#2855C2214yes—
45#2852C2214yes—
46#2850C2212yes—
47#2839C2214yes—
48#2838C2214yes—
49#2793C2214yes—
50#2793C2214yes—
51#2790C2214yes—
52#2790C2214yes—
53#2788C2214yes—
54#2787C2214yes—
55#2786C2214yes—
56#2784C2214yes—
57#2781C2214yes—
58#2779C2214yes—
59#2776C2214yes—
60#2776C2214yes—
61#2776C2214yes—
62#2775C2214yes—
63#2770C2214yes—
64#2767C2214yes—
65#2767C2214yes—
66#2766C2214yes—
67#2762C2214yes—
68#2759C2214yes—
69#2758C2214yes—
70#2758C2214yes—
71#2757C2214yes—
72#2757C2214yes—
73#2747C2214yes—
74#2744C2214yes—
75#2729C2214yes—
76#2729C2214yes—
77#2729C2214yes—
78#2728C2214yes—
79#2716C2214yes—
80#2692C2214yes—
81#2689C2214yes—
82#2666C2214yes—
83#2666C2214yes—
84#2653C2214yes—
85#2652C2214yes—
86#2647C2214yes—
87#2647C2212yes—
88#2642C2212yes—
89#2640C2212yes—
90#2625C2212yes—
91#2625C2214yes—
92#2606C2214yes—
93#2606C2214yes—
94#2605C2214yes—
95#2596C2212yes—
96#2594C2212yes—
97#2594C2214yes—
98#2592C2211yescharacteristic
99#2590C2214yes—
100#2582C2211yescharacteristic
101#2582C2211yescharacteristic
102#2582C2211yescharacteristic
103#2582C2212yes—
104#2581C2211yescharacteristic
105#2577C2214yes—
106#2577C2214yes—
107#2577C2214yes—
108#2573C2212yes—
109#2573C2214yes—
110#2573C2212yes—
111#2572C2214yes—
112#2571C2211yescharacteristic
113#2570C2211yescharacteristic
114#2570C2212yes—
115#2569C2214yes—
116#2568C2211yescharacteristic
117#2567C2212yes—
118#2565C2212yes—
119#2560C2214yes—
120#2552C2212yes—
121#2550C2212yes—
122#2550C2212yes—
123#2550C2212yes—
124#2550C2212yes—
125#2549C2214yes—
126#2547C2211yescharacteristic
127#2545C2211yescharacteristic
128#2538C2211yescharacteristic
129#2538C2211yescharacteristic
130#2538C2211yescharacteristic
131#2538C2214yes—
132#2537C2211yescharacteristic
133#2536C2214yes—
134#2533C2214yes—
135#2532C2214yes—
136#2532C2214yes—
137#2530C2214yes—
138#2527C2214yes—
139#2526C2214yes—
140#2526C2214yes—
141#2525C2212yes—
142#2523C2214yes—
143#2518C2214yes—
144#2514C2212yes—
145#2514C2214yes—
146#2514C2212yes—
147#2514C2212yes—
148#2514C2212yes—
149#2514C2211yescharacteristic
150#2514C2211yescharacteristic
151#2514C2211yescharacteristic
152#2512C2212yes—
153#2512C2211yescharacteristic
154#2511C2212yes—
155#2510C2214yes—
156#2509C2212yes—
157#2509C2212yes—
158#2507C2212yes—
159#2507C2212yes—
160#2507C2212yes—
161#2504C2212yes—
162#2502C2212yes—
163#2499C2212yes—
164#2497C2212yes—
165#2496C2212yes—
166#2495C2212yes—
167#2495C2214yes—
168#2495C2212yes—
169#2495C2212yes—
170#2494C2212yes—
171#2494C2214yes—
172#2492C2212yes—
173#2492C2212yes—
174#2492C2212yes—
175#2492C2212yes—
176#2490C2212yes—
177#2490C2212yes—
178#2489C2212yes—
179#2489C2212yes—
180#2489C2212yes—
181#2478C2214yes—
182#2477C2214yes—
183#2469C2212yes—
184#2469C2214yes—
185#2466C2214yes—
186#2465C2214yes—
187#2453C2212yes—
188#2453C2212yes—
189#2452C2212yes—
190#2452C2212yes—
191#2452C2212yes—
192#2451C2212yes—
193#2451C2212yes—
194#2451C2212yes—
195#2450C2214yes—
196#2448C2211yescharacteristic
197#2447C2211yescharacteristic
198#2447C2211yescharacteristic
199#2446C2212yes—
200#2446C2211yescharacteristic
201#2442C2212yes—
202#2442C2212yes—
203#2442C2212yes—
204#2440C2212yes—
205#2440C2212yes—
206#2440C2212yes—
207#2439C2212yes—
208#2429C2212yes—
209#2429C2212yes—
210#2429C2214yes—
211#2429C2214yes—
212#2427C2212yes—
213#2427C2212yes—
214#2427C2212yes—
215#2421C2212yes—
216#2420C2212yes—
217#2401C2212yes—
218#2401C2212yes—
219#2401C2212yes—
220#2396C2212yes—
221#2381C2214yes—
222#2378C2214yes—
223#2370C2212yes—
224#2370C2212yes—
225#2370C2212yes—
226#2369C2211yescharacteristic
227#2369C2212yes—
228#2368C2214yes—
229#2367C2212yes—
230#2367C2212yes—
231#2365C2212yes—
232#2365C2212yes—
233#2363C2212yes—
234#2362C2212yes—
235#2361C2212yes—
236#2361C2212yes—
237#2360C2212yes—
238#2360C2212yes—
239#2360C2212yes—
240#2356C2212yes—
241#2356C2212yes—
242#2356C2212yes—
243#2356C2214yes—
244#2355C2211yescharacteristic
245#2355C2211yescharacteristic
246#2355C2211yescharacteristic
247#2355C2212yes—
248#2354C2211yescharacteristic
249#2354C2212yes—
250Q8×C4⋊C4C2212yes—
251Q8×C4⋊C4C2211yescharacteristic
252#2349C2212yes—
253D4×C4⋊C4C2211yescharacteristic
254#2346C2212yes—
255#2345C2212yes—
256#2344C2212yes—
257#2331C2212yes—
258#2331C2212yes—
259#2331C2212yes—
260#2330C2212yes—
261#2330C2212yes—
262#2327C2214yes—
263#2326C2212yes—
264#2324C2212yes—
265#2323C2212yes—
266#2323C2214yes—
267#2320C2212yes—
268#2320C2212yes—
269#2319C2212yes—
270#2316C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×#125C2212yes—
277C4×#126C2212yes—
278C4×#124C2211yescharacteristic
279C4×#124C2211yescharacteristic
280C4×#124C2211yescharacteristic
281C4×#124C2211yescharacteristic
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2214yes—
284C4×C22⋊Q8C2212yes—
285#2298C2212yes—
286#2295C2211yescharacteristic
287#2295C2211yescharacteristic
288#2295C2211yescharacteristic
289#2295C2212yes—
290#2293C2211yescharacteristic
291#2290C2214yes—
292#2283C2212yes—
293#2283C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299Q82—28no—
300#554—28no—
301#554—28no—
302C2×C4⋊Q8C2314yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#124C2311yescharacteristic
318C2×#124C2311yescharacteristic
319C2×#124C2311yescharacteristic
320C2×#124C2311yescharacteristic
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2314yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2314yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2314yes—
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C42C2312yes—
364C22×C42C2314yes—
365#401C2314yes—
366#401C2312yes—
367#401C2314yes—
368#401C2312yes—
369#401C2312yes—
370#400C2312yes—
371#400C2312yes—
372#400C2312yes—
373#400C2314yes—
374#400C2312yes—
375#400C2312yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#399C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#397C2312yes—
421#397C2314yes—
422#397C2312yes—
423#397C2312yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2312yes—
440#396C2312yes—
441#396C2312yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2312yes—
449#396C2314yes—
450#396C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2312yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2312yes—
465#393C2314yes—
466#393C2314yes—
467#391C2314yes—
468#391C2311yescharacteristic
469#391C2312yes—
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2311yescharacteristic
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2314yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2311yescharacteristic
499#391C2314yes—
500#391C2312yes—
501#391C2314yes—
502#391C2311yescharacteristic
503#391C2314yes—
504#391C2311yescharacteristic
505#391C2314yes—
506#390C2314yes—
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2314yes—
515#390C2312yes—
516#390C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2314yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2314yes—
570#389C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2314yes—
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#383C2312yes—
695#383C2314yes—
696#383C2314yes—
697#383C2312yes—
698#383C2312yes—
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#383C2314yes—
703#383C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2311yescharacteristic
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2311yescharacteristic
711#382C2312yes—
712#382C2311yescharacteristic
713#382C2314yes—
714#382C2312yes—
715#382C2314yes—
716#382C2312yes—
717#382C2314yes—
718#381C2312yes—
719#381C2314yes—
720#381C2314yes—
721#381C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
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⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808C2×#95C2314yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2414yes—
819C22×Q8C2414yes—
820C22×Q8C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C22×D4C2414yes—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2414yes—
828C23×C4C2414yes—
829C23×C4C2412yes—
830C23×C4C2414yes—
831C4⋊Q8—216no—
832C4⋊Q8—28no—
833C4⋊Q8—28no—
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—42no—
837C4⋊Q8—42no—
838C4⋊Q8—82no—
839C4⋊Q8#4118yes—
840#126—44no—
841#126—84no—
842#125—28no—
843#125—28no—
844#125—44no—
845#125—44no—
846#124—24no—
847#124—24no—
848#124—24no—
849#124—42no—
850C22⋊Q8—216no—
851C22⋊Q8—216no—
852C22⋊Q8—28no—
853C22⋊Q8—28no—
854C22⋊Q8—44no—
855C22⋊Q8—44no—
856C22⋊Q8—44no—
857C22⋊Q8—84no—
858C22⋊Q8—84no—
859C22⋊Q8—84no—
860#121—28no—
861#121—44no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—42no—
871C4×Q8—44no—
872C4×Q8—48no—
873C4×Q8—44no—
874C4×Q8—42no—
875C4×Q8—42no—
876C4×Q8—82no—
877C4×Q8—82no—
878C4×D4—24no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—48no—
884C4×D4—44no—
885C4×D4—42no—
886#117—44no—
887#117—44no—
888#117—84no—
889C2×C4⋊C4—28no—
890C2×C4⋊C4—28no—
891C2×C4⋊C4—44no—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C42—28no—
1005C2×C42—84no—
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2414yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2412yes—
1108#95C2411yescharacteristic
1109#95C2412yes—
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139C24C2512yes—
1140C24C2512yes—
1141C2×Q8—22no—
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—28no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—42no—
1157C2×Q8—41no—
1158C2×Q8—42no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8C2×#4118yes—
1165C2×D4—28no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D42−1+414yes—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—28no—
1183C22×C4—28no—
1184C22×C4—24no—
1185C22×C4—42no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—42no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—42no—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2514yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2514yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2514yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—28no—
1231C4⋊C4—28no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—28no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—44no—
1275C4⋊C4—41no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4C2×#4118yes—
1304C4⋊C4C2×#4118yes—
1305C22⋊C4—24no—
1306C22⋊C4—28no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C42—24no—
1341C42—24no—
1342C42—28no—
1343C42—24no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—24no—
1348C42—22no—
1349C42—22no—
1350C42—24no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—22no—
1355C42—24no—
1356C42—28no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—42no—
1364C42—44no—
1365C42—44no—
1366C42—44no—
1367C42—44no—
1368C42—44no—
1369C42—41no—
1370C42—41no—
1371C42—44no—
1372C42—42no—
1373C42—44no—
1374C42—44no—
1375C42—41no—
1376C42—41no—
1377C42—42no—
1378C42—41no—
1379C42C2×#4114yes—
1380C422−1+414yes—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23C2×2−1+414yes—
1395C23C2611yescharacteristic
1396Q8—48no—
1397Q8—44no—
1398Q8—44no—
1399Q8—44no—
1400Q8—44no—
1401Q8—44no—
1402Q8—88no—
1403Q8—164no—
1404D4—28no—
1405D4—44no—
1406D4—88no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—24no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—24no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—24no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—48no—
1496C2×C4—48no—
1497C2×C4—48no—
1498C2×C4—88no—
1499C2×C4—88no—
1500C2×C4—84no—
1501C2×C4—88no—
1502C2×C4C22×#4118yes—
1503C2×C4C22×#4112yes—
1504C2×C4C22×#4112yes—
1505C2×C4C22×#4112yes—
1506C2×C4C2×2−1+412yes—
1507C2×C4C2×2−1+412yes—
1508C2×C4C2×2−1+412yes—
1509C2×C4C2×2−1+412yes—
1510C2×C4#58512yes—
1511C2×C4#58512yes—
1512C2×C4#58512yes—
1513C22—24no—
1514C22—24no—
1515C22—24no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22C23×#4111yescharacteristic
1528C22C22×2−1+411yescharacteristic
1529C22C22×2−1+411yescharacteristic
1530C22C2×#58511yescharacteristic
1531C22C2×#58511yescharacteristic
1532C22C2×#58511yescharacteristic
1533C22H(7,𝔽2)11yescharacteristic
1534C4—28no—
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C4—42no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—44no—
1550C4—42no—
1551C4—42no—
1552C4—42no—
1553C4—42no—
1554C4—42no—
1555C4—42no—
1556C4—41no—
1557C4—41no—
1558C4—42no—
1559C4—41no—
1560C4—41no—
1561C4—42no—
1562C4—44no—
1563C4—44no—
1564C4—41no—
1565C4#351614yes—
1566C4#351814yes—
1567C2—44no—
1568C2—82no—
1569C2#6275211yescharacteristic
1570C2C2×#351611yescharacteristic
1571C2C2×#351811yescharacteristic
1572C2#6294511yescharacteristic
1573C2#6296911yescharacteristic
1574C2#6299211yescharacteristic
1575C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #59655C2semidirect
3. #59655C2semidirect
4. #59583C2semidirect
5. #59251C2semidirect
6. #51742C2semidirect
7. #51738C2semidirect
8. #46195C2semidirect
9. #45360C2semidirect
10. #45311C2semidirect
11. #45174C2semidirect
12. #45173C2semidirect
13. #42772C2semidirect
14. #42770C2semidirect
15. #42574C2semidirect
16. #42573C2semidirect
17. #39762C2semidirect
18. #39761C2semidirect
19. #39633C2semidirect
20. #39257C2semidirect
22. #39082C2semidirect
23. #38937C2semidirect
24. #36563C2semidirect
25. #36285C2semidirect
26. #36255C2semidirect
27. #36250C2semidirect
29. #35235C2semidirect
30. #35214C2semidirect
31. #34945C2semidirect
32. #34902C2semidirect
33. #34491C2semidirect
34. #34484C2semidirect
35. C4×#554C2semidirect

Maximal subgroups

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

subgroupindex
#596602
#596552
#595832
#592512
#517422
#517382
#461952
#453602
#453112
#451742
#451732
#427722
#427702
#425742
#425732
#397622
#397612
#396332
#392572
#391932
#390822
#389372
#365632
#362852
#362552
#362502
#361742
#352352
#352142
#349452
#349022
#344912
#344842
C4×#5542