Finite Group Databasebeta

← #7806370

Subgroups — #7806370

Order 512.

4630 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#59946C212yesmaximal, complemented
2#59870C211yesmaximal, characteristic, complemented
3#59751C212yesmaximal, complemented
4#59715C212yesmaximal, complemented
5#59697C212yesmaximal
6#59667C211yesmaximal, characteristic, complemented
7#59656C212yesmaximal, complemented
8#59508C212yesmaximal, complemented
9#59477C212yesmaximal, complemented
10#59459C212yesmaximal, complemented
11#59434C211yesmaximal, characteristic, complemented
12#59413C211yesmaximal, characteristic, complemented
13#59322C211yesmaximal, characteristic, complemented
14#59312C211yesmaximal, characteristic
15#59071C211yesmaximal, characteristic, complemented
16#59042C211yesmaximal, characteristic
17#47640C214yesmaximal, complemented
18#47557C214yesmaximal, complemented
19#42856C212yesmaximal, complemented
20#42836C212yesmaximal, complemented
21#42635C212yesmaximal
22#42553C212yesmaximal, complemented
23#42290C214yesmaximal, complemented
24#37631C211yesmaximal, characteristic, complemented
25#35997C212yesmaximal, complemented
26#35919C212yesmaximal, complemented
27#35872C214yesmaximal, complemented
28#35869C212yesmaximal, complemented
29#35845C212yesmaximal, complemented
30#34975C211yesmaximal, characteristic, complemented
31#34974C211yesmaximal, characteristic
32#34951C211yesmaximal, characteristic, complemented
33#34337C211yesmaximal, characteristic, complemented
34#34311C211yesmaximal, characteristic, complemented
35#34214C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#557C2212yes—
38C2×#552C2212yes—
39C2×D4×Q8C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#519C2212yes—
42#2839C2214yes—
43#2838C2214yes—
44#2838C2214yes—
45#2805C2214yes—
46#2793C2214yes—
47#2792C2214yes—
48#2792C2214yes—
49#2792C2214yes—
50#2789C2214yes—
51#2777C2214yes—
52#2777C2214yes—
53#2776C2214yes—
54#2773C2214yes—
55#2773C2214yes—
56#2766C2214yes—
57#2755C2214yes—
58#2742C2214yes—
59#2721C2214yes—
60#2719C2214yes—
61#2719C2214yes—
62#2718C2214yes—
63#2717C2214yes—
64#2713C2214yes—
65#2704C2214yes—
66#2690C2214yes—
67#2689C2214yes—
68#2674C2214yes—
69#2663C2214yes—
70#2655C2214yes—
71#2655C2214yes—
72#2650C2214yes—
73#2650C2214yes—
74#2645C2212yes—
75#2640C2212yes—
76#2634C2214yes—
77#2628C2214yes—
78#2628C2212yes—
79#2625C2212yes—
80#2605C2214yes—
81#2599C2214yes—
82#2596C2214yes—
83#2596C2214yes—
84#2594C2214yes—
85#2588C2214yes—
86#2586C2214yes—
87#2586C2214yes—
88#2585C2214yes—
89#2584C2214yes—
90#2583C2214yes—
91#2582C2211yescharacteristic
92#2581C2212yes—
93#2581C2214yes—
94#2581C2212yes—
95#2581C2212yes—
96#2575C2214yes—
97#2574C2214yes—
98#2571C2212yes—
99#2568C2211yescharacteristic
100#2568C2211yescharacteristic
101#2567C2214yes—
102#2567C2212yes—
103#2567C2212yes—
104#2567C2212yes—
105#2558C2214yes—
106#2556C2214yes—
107#2552C2211yescharacteristic
108#2552C2212yes—
109#2551C2212yes—
110#2551C2211yescharacteristic
111#2550C2214yes—
112#2550C2212yes—
113#2547C2211yescharacteristic
114#2546C2211yescharacteristic
115#2545C2212yes—
116#2538C2211yescharacteristic
117#2536C2212yes—
118#2533C2212yes—
119#2532C2212yes—
120#2530C2214yes—
121#2530C2214yes—
122#2529C2214yes—
123#2529C2212yes—
124#2528C2212yes—
125#2528C2214yes—
126#2527C2214yes—
127#2527C2214yes—
128#2524C2214yes—
129#2522C2214yes—
130#2519C2214yes—
131#2519C2214yes—
132#2514C2212yes—
133#2514C2211yescharacteristic
134#2512C2212yes—
135#2512C2211yescharacteristic
136#2511C2212yes—
137#2511C2212yes—
138#2511C2212yes—
139#2509C2214yes—
140#2509C2212yes—
141#2508C2211yescharacteristic
142#2507C2212yes—
143#2507C2212yes—
144#2506C2212yes—
145#2506C2212yes—
146#2506C2211yescharacteristic
147#2501C2212yes—
148#2497C2212yes—
149#2496C2211yescharacteristic
150#2495C2211yescharacteristic
151#2494C2212yes—
152#2494C2212yes—
153#2492C2212yes—
154#2492C2212yes—
155#2491C2211yescharacteristic
156#2489C2211yescharacteristic
157#2489C2212yes—
158#2486C2212yes—
159#2479C2212yes—
160#2478C2212yes—
161#2478C2214yes—
162#2478C2214yes—
163#2477C2214yes—
164#2475C2214yes—
165#2475C2214yes—
166#2475C2212yes—
167#2474C2212yes—
168#2470C2214yes—
169#2470C2214yes—
170#2469C2214yes—
171#2462C2214yes—
172#2454C2212yes—
173#2453C2211yescharacteristic
174#2453C2214yes—
175#2453C2214yes—
176#2453C2212yes—
177#2453C2212yes—
178#2453C2212yes—
179#2451C2212yes—
180#2451C2212yes—
181#2451C2212yes—
182#2451C2211yescharacteristic
183#2451C2212yes—
184#2448C2211yescharacteristic
185#2448C2212yes—
186#2448C2212yes—
187#2446C2212yes—
188#2446C2211yescharacteristic
189#2446C2212yes—
190#2441C2212yes—
191#2441C2214yes—
192#2441C2214yes—
193#2441C2212yes—
194#2440C2212yes—
195#2440C2212yes—
196#2434C2212yes—
197#2429C2212yes—
198#2429C2212yes—
199#2429C2212yes—
200#2429C2211yescharacteristic
201#2427C2212yes—
202#2426C2211yescharacteristic
203#2423C2212yes—
204#2423C2211yescharacteristic
205#2423C2212yes—
206#2421C2211yescharacteristic
207#2421C2212yes—
208#2421C2212yes—
209#2413C2214yes—
210#2409C2212yes—
211#2402C2212yes—
212#2402C2214yes—
213#2401C2212yes—
214#2396C2214yes—
215#2396C2212yes—
216#2396C2214yes—
217#2395C2212yes—
218#2374C2214yes—
219#2373C2214yes—
220#2370C2214yes—
221#2370C2214yes—
222#2370C2212yes—
223#2367C2212yes—
224#2367C2212yes—
225#2365C2211yescharacteristic
226#2365C2212yes—
227#2365C2212yes—
228#2365C2211yescharacteristic
229#2365C2212yes—
230#2365C2212yes—
231#2365C2212yes—
232#2365C2212yes—
233#2362C2212yes—
234#2362C2214yes—
235#2362C2214yes—
236#2360C2212yes—
237#2360C2212yes—
238#2360C2212yes—
239#2360C2212yes—
240#2360C2212yes—
241#2360C2212yes—
242#2355C2212yes—
243#2355C2212yes—
244#2355C2212yes—
245#2354C2212yes—
246#2354C2211yescharacteristic
247#2351C2212yes—
248Q8×C4⋊C4C2212yes—
249Q8×C4⋊C4C2212yes—
250Q8×C4⋊C4C2211yescharacteristic
251Q8×C4⋊C4C2211yescharacteristic
252Q8×C4⋊C4C2212yes—
253Q8×C4⋊C4C2211yescharacteristic
254Q8×C4⋊C4C2212yes—
255#2347C2212yes—
256#2344C2212yes—
257Q8×C22⋊C4C2212yes—
258Q8×C22⋊C4C2212yes—
259Q8×C22⋊C4C2212yes—
260#2330C2214yes—
261#2330C2212yes—
262#2330C2212yes—
263#2330C2212yes—
264#2323C2214yes—
265#2323C2212yes—
266#2317C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2212yes—
269C4×C4⋊Q8C2212yes—
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×#125C2212yes—
277C4×#125C2211yescharacteristic
278C4×#125C2212yes—
279C4×#126C2212yes—
280C4×#126C2212yes—
281C4×#124C2212yes—
282C4×#124C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2295C2212yes—
288#2295C2211yescharacteristic
289#2295C2212yes—
290#2295C2212yes—
291#2293C2212yes—
292#2293C2211yescharacteristic
293C2×#384C2211yescharacteristic
294#2276C2212yes—
295#2274C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300#557—28no—
301#557—48no—
302#552—48no—
303D4×Q8—28no—
304#533—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×#121C2311yescharacteristic
342#519—48no—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2314yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2314yes—
366C2×C4×Q8C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2314yes—
376C2×#117C2314yes—
377C2×#117C2314yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C42C2311yescharacteristic
382#401C2312yes—
383#401C2314yes—
384#401C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#399C2312yes—
413#399C2314yes—
414#399C2314yes—
415#399C2312yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#397C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2314yes—
463#396C2312yes—
464#396C2314yes—
465#396C2312yes—
466#395C2314yes—
467#395C2314yes—
468#395C2312yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#394C2312yes—
480#394C2312yes—
481#394C2314yes—
482#393C2314yes—
483#393C2312yes—
484#393C2314yes—
485#393C2314yes—
486#391C2312yes—
487#391C2311yescharacteristic
488#391C2312yes—
489#391C2312yes—
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2312yes—
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2314yes—
585#389C2312yes—
586#389C2314yes—
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#386C2314yes—
687#386C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2312yes—
701#384C2312yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2314yes—
706#384C2314yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#383C2312yes—
712#383C2312yes—
713#383C2314yes—
714#382C2312yes—
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2314yes—
720#382C2314yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#381C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807#376C2311yescharacteristic
808#376C2311yescharacteristic
809#376C2312yes—
810#376C2314yes—
811#376C2314yes—
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C22×Q8—28no—
817C22×Q8—28no—
818C22×Q8—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×Q8C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2414yes—
835C4⋊Q8—28no—
836C4⋊Q8—28no—
837C4⋊Q8—24no—
838C4⋊Q8—28no—
839C4⋊Q8—24no—
840C4⋊Q8—42no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—48no—
844C4⋊Q8#4118yes—
845#126—28no—
846#126—44no—
847#126—48no—
848#125—28no—
849#125—216no—
850#125—28no—
851#125—28no—
852#125—24no—
853#125—28no—
854#125—48no—
855#125—48no—
856#125—48no—
857#124—24no—
858#124—44no—
859#124—44no—
860#123—48no—
861#123—48no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—24no—
865C22⋊Q8—24no—
866C22⋊Q8—28no—
867C22⋊Q8—216no—
868C22⋊Q8—24no—
869C22⋊Q8—48no—
870C22⋊Q8—44no—
871#121—42no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—28no—
877C4×Q8—28no—
878C4×Q8—24no—
879C4×Q8—28no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—24no—
883C4×Q8—48no—
884C4×Q8—44no—
885C4×Q8—48no—
886C4×Q8—48no—
887C4×Q8—44no—
888C4×Q8—42no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—44no—
899#117—28no—
900#117—28no—
901#117—24no—
902#117—44no—
903#117—48no—
904#117—48no—
905#117—48no—
906#117—42no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4—44no—
909C2×C4⋊C4—44no—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C42—24no—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072#95C2412yes—
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2414yes—
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158C24C2512yes—
1159C24C2511yescharacteristic
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—24no—
1163C2×Q8—22no—
1164C2×Q8—28no—
1165C2×Q8—24no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—28no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—44no—
1175C2×Q8—42no—
1176C2×Q8—44no—
1177C2×Q8—44no—
1178C2×Q8—42no—
1179C2×Q8—44no—
1180C2×Q8—42no—
1181C2×Q8—432no—
1182C2×Q8C2×#4118yes—
1183C2×Q82−1+414yes—
1184C2×Q82−1+414yes—
1185C2×D4—24no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—28no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—28no—
1198C22×C4—24no—
1199C22×C4—22no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—28no—
1204C22×C4—24no—
1205C22×C4—22no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2514yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2514yes—
1230C22×C4C2514yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2514yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—28no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—28no—
1255C4⋊C4—28no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—28no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—28no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4C2×#4118yes—
1326C4⋊C4C2×#4118yes—
1327C4⋊C4H(5,𝔽2)14yes—
1328C4⋊C42−1+414yes—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—24no—
1337C22⋊C4—28no—
1338C22⋊C4—24no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—28no—
1364C42—24no—
1365C42—28no—
1366C42—24no—
1367C42—24no—
1368C42—28no—
1369C42—24no—
1370C42—22no—
1371C42—28no—
1372C42—24no—
1373C42—24no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—24no—
1378C42—22no—
1379C42—24no—
1380C42—22no—
1381C42—22no—
1382C42—24no—
1383C42—24no—
1384C42—24no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—24no—
1389C42—41no—
1390C42—41no—
1391C42—44no—
1392C42—44no—
1393C42—44no—
1394C42—42no—
1395C42—44no—
1396C42—44no—
1397C42—44no—
1398C42—44no—
1399C42—44no—
1400C42—42no—
1401C42—42no—
1402C42C2×#4114yes—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23#58512yes—
1417C23C2611yescharacteristic
1418Q8—28no—
1419Q8—28no—
1420Q8—216no—
1421Q8—416no—
1422Q8—48no—
1423Q8—44no—
1424Q8—88no—
1425Q8—84no—
1426D4—44no—
1427D4—84no—
1428C2×C4—28no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—24no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—416no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—48no—
1518C2×C4—88no—
1519C2×C4C22×#4118yes—
1520C2×C4C22×#4112yes—
1521C2×C4C22×#4112yes—
1522C2×C4C22×#4112yes—
1523C2×C4C2×H(5,𝔽2)14yes—
1524C2×C4C2×H(5,𝔽2)12yes—
1525C2×C4C2×2−1+412yes—
1526C2×C4C2×2−1+412yes—
1527C2×C4C2×2−1+414yes—
1528C2×C4C2×2−1+414yes—
1529C2×C4C2×2−1+412yes—
1530C2×C4C2×2−1+412yes—
1531C2×C4C2×2−1+412yes—
1532C2×C4#58512yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22C23×#4111yescharacteristic
1548C22C22×H(5,𝔽2)11yescharacteristic
1549C22C22×2−1+411yescharacteristic
1550C22C22×2−1+411yescharacteristic
1551C22C22×2−1+411yescharacteristic
1552C22C2×#58511yescharacteristic
1553C22C2×#58511yescharacteristic
1554C4—24no—
1555C4—28no—
1556C4—22no—
1557C4—22no—
1558C4—24no—
1559C4—24no—
1560C4—22no—
1561C4—22no—
1562C4—41no—
1563C4—44no—
1564C4—44no—
1565C4—42no—
1566C4—41no—
1567C4—42no—
1568C4—42no—
1569C4—41no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—41no—
1574C4—42no—
1575C4—41no—
1576C4—42no—
1577C4—41no—
1578C4—41no—
1579C4—42no—
1580C4—41no—
1581C4—44no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4#351614yes—
1586C4#352014yes—
1587C2—42no—
1588C2—82no—
1589C2C2×#352011yescharacteristic
1590C2C2×#351611yescharacteristic
1591C2#6278811yescharacteristic
1592C2#6301911yescharacteristic
1593C2#6303211yescharacteristic
1594C2#6303711yescharacteristic
1595C2#6303811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59946C2semidirect
2. #59870C2semidirect
3. #59751C2semidirect
4. #59715C2semidirect
6. #59667C2semidirect
7. #59656C2semidirect
8. #59508C2semidirect
9. #59477C2semidirect
10. #59459C2semidirect
11. #59434C2semidirect
12. #59413C2semidirect
13. #59322C2semidirect
15. #59071C2semidirect
17. #47640C2semidirect
18. #47557C2semidirect
19. #42856C2semidirect
20. #42836C2semidirect
22. #42553C2semidirect
23. #42290C2semidirect
24. #37631C2semidirect
25. #35997C2semidirect
26. #35919C2semidirect
27. #35872C2semidirect
28. #35869C2semidirect
29. #35845C2semidirect
30. #34975C2semidirect
32. #34951C2semidirect
33. #34337C2semidirect
34. #34311C2semidirect
35. #34214C2semidirect

Maximal subgroups

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

subgroupindex
#599462
#598702
#597512
#597152
#596972
#596672
#596562
#595082
#594772
#594592
#594342
#594132
#593222
#593122
#590712
#590422
#476402
#475572
#428562
#428362
#426352
#425532
#422902
#376312
#359972
#359192
#358722
#358692
#358452
#349752
#349742
#349512
#343372
#343112
#342142