Finite Group Databasebeta

← #7806364

Subgroups — #7806364

Order 512.

4708 conjugacy classes of subgroups.

The subgroup lattice has 1639 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59832C211yesmaximal, characteristic, complemented
2#59769C212yesmaximal, complemented
3#59767C212yesmaximal, complemented
4#59717C212yesmaximal, complemented
5#59712C212yesmaximal, complemented
6#59639C211yesmaximal, characteristic, complemented
7#59437C212yesmaximal, complemented
8#59427C211yesmaximal, characteristic, complemented
9#59418C211yesmaximal, characteristic, complemented
10#59379C212yesmaximal, complemented
11#59234C211yesmaximal, characteristic, complemented
12#59234C211yesmaximal, characteristic, complemented
13#59144C211yesmaximal, characteristic, complemented
14#59125C211yesmaximal, characteristic
15#59100C212yesmaximal, complemented
16#59081C212yesmaximal, complemented
17#47339C214yesmaximal, complemented
18#46664C214yesmaximal, complemented
19#42857C212yesmaximal, complemented
20#42851C212yesmaximal, complemented
21#42758C212yesmaximal, complemented
22#42735C212yesmaximal, complemented
23#42114C214yesmaximal, complemented
24#37631C211yesmaximal, characteristic, complemented
25#35948C212yesmaximal, complemented
26#35901C212yesmaximal, complemented
27#35896C214yesmaximal, complemented
28#35819C212yesmaximal, complemented
29#35726C212yesmaximal, complemented
30#34974C211yesmaximal, characteristic, complemented
31#34969C211yesmaximal, characteristic, complemented
32#34929C211yesmaximal, characteristic, complemented
33#34328C211yesmaximal, characteristic, complemented
34#34316C211yesmaximal, characteristic, complemented
35#34216C211yesmaximal, characteristic, complemented
36C2×Q82C2212yes—
37C2×#557C2211yescharacteristic
38C2×#548C2212yes—
39C2×#547C2211yescharacteristic
40C2×#533C2212yes—
41C22×C4⋊Q8C2211yescharacteristic
42#2838C2214yes—
43#2831C2214yes—
44#2830C2214yes—
45#2808C2214yes—
46#2805C2214yes—
47#2800C2214yes—
48#2798C2214yes—
49#2796C2214yes—
50#2788C2214yes—
51#2787C2214yes—
52#2787C2214yes—
53#2783C2214yes—
54#2781C2214yes—
55#2775C2214yes—
56#2775C2214yes—
57#2764C2214yes—
58#2759C2214yes—
59#2757C2214yes—
60#2734C2214yes—
61#2729C2214yes—
62#2729C2214yes—
63#2717C2214yes—
64#2713C2214yes—
65#2707C2214yes—
66#2700C2214yes—
67#2674C2214yes—
68#2672C2214yes—
69#2666C2214yes—
70#2652C2214yes—
71#2651C2214yes—
72#2650C2214yes—
73#2650C2214yes—
74#2649C2214yes—
75#2645C2212yes—
76#2640C2212yes—
77#2640C2214yes—
78#2628C2212yes—
79#2625C2212yes—
80#2605C2214yes—
81#2605C2214yes—
82#2596C2214yes—
83#2594C2214yes—
84#2592C2212yes—
85#2592C2214yes—
86#2592C2212yes—
87#2589C2214yes—
88#2589C2214yes—
89#2588C2214yes—
90#2582C2212yes—
91#2577C2214yes—
92#2577C2214yes—
93#2577C2214yes—
94#2568C2211yescharacteristic
95#2568C2212yes—
96#2560C2214yes—
97#2558C2214yes—
98#2556C2214yes—
99#2556C2214yes—
100#2551C2212yes—
101#2551C2211yescharacteristic
102#2551C2211yescharacteristic
103#2550C2212yes—
104#2550C2214yes—
105#2547C2212yes—
106#2547C2211yescharacteristic
107#2547C2214yes—
108#2547C2212yes—
109#2546C2211yescharacteristic
110#2546C2212yes—
111#2546C2212yes—
112#2546C2212yes—
113#2545C2212yes—
114#2542C2211yescharacteristic
115#2538C2211yescharacteristic
116#2538C2211yescharacteristic
117#2533C2214yes—
118#2532C2214yes—
119#2532C2214yes—
120#2532C2212yes—
121#2531C2214yes—
122#2530C2212yes—
123#2529C2214yes—
124#2529C2212yes—
125#2527C2212yes—
126#2523C2214yes—
127#2523C2214yes—
128#2522C2214yes—
129#2514C2214yes—
130#2513C2212yes—
131#2513C2212yes—
132#2513C2212yes—
133#2512C2211yescharacteristic
134#2511C2211yescharacteristic
135#2511C2212yes—
136#2509C2211yescharacteristic
137#2508C2211yescharacteristic
138#2506C2212yes—
139#2499C2212yes—
140#2497C2212yes—
141#2495C2212yes—
142#2495C2212yes—
143#2495C2212yes—
144#2495C2211yescharacteristic
145#2494C2211yescharacteristic
146#2494C2212yes—
147#2492C2212yes—
148#2492C2212yes—
149#2492C2214yes—
150#2492C2212yes—
151#2492C2212yes—
152#2492C2214yes—
153#2492C2212yes—
154#2492C2211yescharacteristic
155#2491C2214yes—
156#2491C2212yes—
157#2491C2212yes—
158#2491C2214yes—
159#2491C2212yes—
160#2491C2211yescharacteristic
161#2490C2212yes—
162#2479C2212yes—
163#2477C2212yes—
164#2476C2214yes—
165#2474C2214yes—
166#2474C2214yes—
167#2474C2214yes—
168#2474C2212yes—
169#2473C2214yes—
170#2470C2212yes—
171#2465C2214yes—
172#2460C2214yes—
173#2453C2214yes—
174#2452C2212yes—
175#2452C2211yescharacteristic
176#2451C2212yes—
177#2451C2214yes—
178#2451C2212yes—
179#2451C2212yes—
180#2451C2211yescharacteristic
181#2451C2212yes—
182#2448C2211yescharacteristic
183#2448C2212yes—
184#2447C2211yescharacteristic
185#2446C2212yes—
186#2446C2214yes—
187#2446C2214yes—
188#2443C2214yes—
189#2442C2212yes—
190#2442C2212yes—
191#2440C2212yes—
192#2439C2212yes—
193#2439C2214yes—
194#2434C2212yes—
195#2432C2212yes—
196#2432C2212yes—
197#2429C2212yes—
198#2429C2212yes—
199#2429C2212yes—
200#2427C2211yescharacteristic
201#2426C2212yes—
202#2426C2211yescharacteristic
203#2423C2211yescharacteristic
204#2422C2211yescharacteristic
205#2421C2212yes—
206#2421C2212yes—
207#2416C2212yes—
208#2415C2212yes—
209#2415C2212yes—
210#2409C2212yes—
211#2402C2214yes—
212#2401C2212yes—
213#2398C2214yes—
214#2398C2212yes—
215#2396C2214yes—
216#2396C2212yes—
217#2395C2212yes—
218#2374C2214yes—
219#2373C2214yes—
220#2372C2214yes—
221#2371C2214yes—
222#2370C2212yes—
223#2369C2212yes—
224#2369C2212yes—
225#2369C2212yes—
226#2369C2212yes—
227#2367C2214yes—
228#2365C2211yescharacteristic
229#2365C2211yescharacteristic
230#2365C2212yes—
231#2365C2212yes—
232#2365C2212yes—
233#2365C2212yes—
234#2363C2212yes—
235#2362C2212yes—
236#2362C2214yes—
237#2362C2212yes—
238#2360C2212yes—
239#2360C2212yes—
240#2356C2212yes—
241#2356C2212yes—
242#2356C2212yes—
243#2355C2211yescharacteristic
244#2355C2211yescharacteristic
245#2355C2212yes—
246#2354C2211yescharacteristic
247#2354C2211yescharacteristic
248D4×C4⋊C4C2212yes—
249#2347C2212yes—
250#2347C2212yes—
251#2346C2212yes—
252#2345C2212yes—
253#2345C2212yes—
254#2345C2212yes—
255#2341C2212yes—
256#2341C2212yes—
257Q8×C22⋊C4C2212yes—
258Q8×C22⋊C4C2212yes—
259Q8×C22⋊C4C2212yes—
260#2336C2214yes—
261#2335C2214yes—
262#2331C2212yes—
263#2331C2212yes—
264#2327C2212yes—
265#2324C2212yes—
266#2316C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2212yes—
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×#125C2212yes—
275C4×#126C2212yes—
276C4×#124C2211yescharacteristic
277C4×#124C2211yescharacteristic
278C4×#124C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×#123C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2297C2212yes—
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2293C2211yescharacteristic
291#2293C2212yes—
292#2285C2211yescharacteristic
293#2276C2212yes—
294#2274C2212yes—
295#2274C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301Q82—48no—
302#557—28no—
303#548—48no—
304#547—28no—
305#533—48no—
306C2×C4⋊Q8—28no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2314yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2314yes—
321C2×C4⋊Q8C2314yes—
322C2×C4⋊Q8C2311yescharacteristic
323C2×#126C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#124C2311yescharacteristic
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2311yescharacteristic
333C2×#124C2312yes—
334C2×#123C2314yes—
335C2×#123C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×#121C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2314yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2314yes—
365C2×C4×Q8C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2314yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2312yes—
385#401C2314yes—
386#401C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2312yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#399C2314yes—
408#399C2312yes—
409#399C2312yes—
410#399C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2312yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2312yes—
454#396C2314yes—
455#396C2312yes—
456#396C2314yes—
457#396C2312yes—
458#396C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2312yes—
466#395C2314yes—
467#395C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2314yes—
473#394C2312yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2312yes—
484#393C2312yes—
485#393C2314yes—
486#393C2312yes—
487#393C2314yes—
488#393C2314yes—
489#391C2314yes—
490#391C2312yes—
491#391C2314yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2312yes—
499#391C2314yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2314yes—
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2314yes—
523#391C2314yes—
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#390C2314yes—
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2314yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2314yes—
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2311yescharacteristic
700#383C2312yes—
701#383C2314yes—
702#383C2314yes—
703#383C2314yes—
704#383C2314yes—
705#382C2312yes—
706#382C2314yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2312yes—
713#381C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2314yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2312yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2311yescharacteristic
809#376C2311yescharacteristic
810#376C2314yes—
811#376C2314yes—
812#376C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8—28no—
820C22×Q8—44no—
821C22×Q8—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2414yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×Q8C2414yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C4⋊Q8—28no—
846C4⋊Q8—28no—
847C4⋊Q8—28no—
848C4⋊Q8—28no—
849C4⋊Q8—28no—
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—24no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857C4⋊Q8—48no—
858C4⋊Q8—48no—
859C4⋊Q8—48no—
860C4⋊Q8#4118yes—
861#126—28no—
862#125—216no—
863#125—28no—
864#125—48no—
865#124—48no—
866#124—42no—
867#124—42no—
868#124—44no—
869#124—48no—
870#124—44no—
871#124—48no—
872#123—216no—
873#123—44no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—24no—
877C22⋊Q8—28no—
878C22⋊Q8—48no—
879C22⋊Q8—48no—
880C22⋊Q8—42no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884#121—28no—
885#121—24no—
886#121—48no—
887#121—42no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—24no—
891C4×Q8—28no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—48no—
897C4×Q8—44no—
898C4×Q8—42no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—48no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—42no—
908C4×D4—48no—
909C4×D4—44no—
910C4×D4—44no—
911#117—28no—
912#117—24no—
913#117—44no—
914#117—48no—
915#117—42no—
916#117—44no—
917#117—44no—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—28no—
920C2×C4⋊C4—28no—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C42—24no—
1040C2×C42—44no—
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2414yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163C24C2512yes—
1164C24C2512yes—
1165C24C2511yescharacteristic
1166#41—816no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—28no—
1171C2×Q8—24no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—28no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—22no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—44no—
1186C2×Q8—42no—
1187C2×Q8—44no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—816no—
1194C2×Q8C2×#4118yes—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—28no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—44no—
1208C2×D4—42no—
1209C2×D4—44no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—28no—
1228C22×C4—28no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2514yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2514yes—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2514yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2514yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C4⋊C4—22no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
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—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4C2×#4118yes—
1337C4⋊C4C2×#4118yes—
1338C4⋊C4H(5,𝔽2)14yes—
1339C4⋊C42−1+414yes—
1340C4⋊C42−1+414yes—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—28no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—24no—
1351C22⋊C4—22no—
1352C22⋊C4—28no—
1353C22⋊C4—22no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—28no—
1391C42—24no—
1392C42—24no—
1393C42—22no—
1394C42—24no—
1395C42—24no—
1396C42—28no—
1397C42—24no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—28no—
1402C42—22no—
1403C42—24no—
1404C42—22no—
1405C42—22no—
1406C42—24no—
1407C42—24no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—42no—
1412C42—42no—
1413C42—44no—
1414C42—41no—
1415C42—41no—
1416C42—44no—
1417C42—44no—
1418C42—44no—
1419C42—44no—
1420C42—42no—
1421C42—44no—
1422C42—44no—
1423C42—42no—
1424C42—44no—
1425C42—44no—
1426C42C2×#4114yes—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23#58512yes—
1448C23C2611yescharacteristic
1449Q8—216no—
1450Q8—48no—
1451Q8—44no—
1452Q8—48no—
1453Q8—44no—
1454Q8—88no—
1455Q8—84no—
1456Q8—88no—
1457Q8—164no—
1458D4—48no—
1459D4—44no—
1460D4—44no—
1461D4—88no—
1462D4—84no—
1463C2×C4—28no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—21no—
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—24no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—24no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—24no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—48no—
1548C2×C4—44no—
1549C2×C4—48no—
1550C2×C4—44no—
1551C2×C4—48no—
1552C2×C4—88no—
1553C2×C4—88no—
1554C2×C4—84no—
1555C2×C4C22×#4112yes—
1556C2×C4C22×#4118yes—
1557C2×C4C22×#4112yes—
1558C2×C4C22×#4112yes—
1559C2×C4C2×H(5,𝔽2)14yes—
1560C2×C4C2×H(5,𝔽2)12yes—
1561C2×C4C2×2−1+412yes—
1562C2×C4C2×2−1+414yes—
1563C2×C4C2×2−1+412yes—
1564C2×C4C2×2−1+412yes—
1565C2×C4C2×2−1+412yes—
1566C2×C4#58512yes—
1567C2×C4#58512yes—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22C23×#4111yescharacteristic
1590C22C22×H(5,𝔽2)11yescharacteristic
1591C22C22×2−1+411yescharacteristic
1592C22C22×2−1+411yescharacteristic
1593C22C2×#58511yescharacteristic
1594C22C2×#58511yescharacteristic
1595C22C2×#58511yescharacteristic
1596C4—22no—
1597C4—24no—
1598C4—22no—
1599C4—24no—
1600C4—28no—
1601C4—22no—
1602C4—22no—
1603C4—42no—
1604C4—41no—
1605C4—42no—
1606C4—42no—
1607C4—41no—
1608C4—44no—
1609C4—42no—
1610C4—41no—
1611C4—44no—
1612C4—41no—
1613C4—42no—
1614C4—41no—
1615C4—44no—
1616C4—42no—
1617C4—41no—
1618C4—41no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—41no—
1624C4—42no—
1625C4—42no—
1626C4#351414yes—
1627C4#351814yes—
1628C2—42no—
1629C2—82no—
1630C2—82no—
1631C2C2×#351411yescharacteristic
1632C2#6278811yescharacteristic
1633C2C2×#351811yescharacteristic
1634C2#6301611yescharacteristic
1635C2#6301811yescharacteristic
1636C2#6303311yescharacteristic
1637C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59125C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59832C2semidirect
2. #59769C2semidirect
3. #59767C2semidirect
4. #59717C2semidirect
5. #59712C2semidirect
6. #59639C2semidirect
7. #59437C2semidirect
8. #59427C2semidirect
9. #59418C2semidirect
10. #59379C2semidirect
11. #59234C2semidirect
12. #59234C2semidirect
13. #59144C2semidirect
15. #59100C2semidirect
16. #59081C2semidirect
17. #47339C2semidirect
18. #46664C2semidirect
19. #42857C2semidirect
20. #42851C2semidirect
21. #42758C2semidirect
22. #42735C2semidirect
23. #42114C2semidirect
24. #37631C2semidirect
25. #35948C2semidirect
26. #35901C2semidirect
27. #35896C2semidirect
28. #35819C2semidirect
29. #35726C2semidirect
30. #34974C2semidirect
31. #34969C2semidirect
32. #34929C2semidirect
33. #34328C2semidirect
34. #34316C2semidirect
35. #34216C2semidirect

Maximal subgroups

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

subgroupindex
#598322
#597692
#597672
#597172
#597122
#596392
#594372
#594272
#594182
#593792
#592342
#591442
#591252
#591002
#590812
#473392
#466642
#428572
#428512
#427582
#427352
#421142
#376312
#359482
#359012
#358962
#358192
#357262
#349742
#349692
#349292
#343282
#343162
#342162