Finite Group Databasebeta

← #7712256

Subgroups — #7712256

Order 512.

4910 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59332C212yesmaximal, complemented
2#59326C212yesmaximal, complemented
3#59260C212yesmaximal, complemented
4#59247C212yesmaximal, complemented
5#45780C214yesmaximal, complemented
6#45475C214yesmaximal, complemented
7#39149C211yesmaximal, characteristic, complemented
8#39147C211yesmaximal, characteristic, complemented
9#38943C211yesmaximal, characteristic, complemented
10#38941C211yesmaximal, characteristic, complemented
11#38063C212yesmaximal, complemented
12#38060C212yesmaximal, complemented
13#37992C214yesmaximal, complemented
14#37987C212yesmaximal, complemented
15#37984C212yesmaximal, complemented
16#37913C214yesmaximal, complemented
17#37852C212yesmaximal, complemented
18#37851C212yesmaximal, complemented
19#37624C211yesmaximal, characteristic, complemented
20#37619C211yesmaximal, characteristic, complemented
21#37384C212yesmaximal, complemented
22#37294C212yesmaximal, complemented
23#36625C211yesmaximal, characteristic, complemented
24#36624C211yesmaximal, characteristic
25#36599C211yesmaximal, characteristic, complemented
26#36587C211yesmaximal, characteristic, complemented
27#36148C212yesmaximal, complemented
28#36143C212yesmaximal, complemented
29#36133C211yesmaximal, characteristic, complemented
30#36117C211yesmaximal, characteristic, complemented
31#35326C212yesmaximal, complemented
32#35270C212yesmaximal, complemented
33#34393C211yesmaximal, characteristic, complemented
34#34373C211yesmaximal, characteristic, complemented
35C2×#2283C211yesmaximal, characteristic, complemented
36C2×#533C2211yescharacteristic
37C2×#533C2212yes—
38C2×#532C2211yescharacteristic
39C2×#529C2212yes—
40C2×#525C2212yes—
41C23×C42C2211yescharacteristic
42#2857C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2212yes—
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic
51#2855C2211yescharacteristic
52#2855C2211yescharacteristic
53#2855C2212yes—
54#2855C2212yes—
55#2854C2212yes—
56#2854C2212yes—
57#2854C2212yes—
58#2851C2212yes—
59#2851C2212yes—
60#2850C2212yes—
61#2850C2212yes—
62#2850C2212yes—
63#2848C2211yescharacteristic
64#2848C2211yescharacteristic
65#2848C2212yes—
66#2847C2212yes—
67#2847C2212yes—
68#2841C2214yes—
69#2816C2214yes—
70#2777C2214yescomplemented
71#2776C2214yescomplemented
72#2775C2214yescomplemented
73#2773C2214yescomplemented
74#2770C2214yescomplemented
75#2769C2214yescomplemented
76#2768C2214yescomplemented
77#2763C2214yescomplemented
78#2761C2214yes—
79#2757C2214yescomplemented
80#2754C2214yescomplemented
81#2751C2214yes—
82#2750C2214yes—
83#2748C2214yes—
84#2746C2214yes—
85#2744C2214yes—
86#2743C2214yes—
87#2743C2214yes—
88#2743C2214yes—
89#2741C2214yes—
90#2741C2214yes—
91#2740C2214yes—
92#2740C2214yes—
93#2739C2214yes—
94#2738C2214yescomplemented
95#2737C2214yes—
96#2737C2214yescomplemented
97#2717C2214yes—
98#2701C2214yes—
99#2700C2214yes—
100#2687C2214yes—
101#2686C2214yes—
102#2666C2214yescomplemented
103#2660C2212yescomplemented
104#2658C2212yescomplemented
105#2647C2212yescomplemented
106#2645C2212yescomplemented
107#2644C2212yescomplemented
108#2642C2212yescomplemented
109#2640C2212yescomplemented
110#2640C2212yescomplemented
111#2633C2214yescomplemented
112#2629C2212yes—
113#2628C2212yes—
114#2624C2212yes—
115#2624C2212yes—
116#2611C2214yescomplemented
117#2611C2214yescomplemented
118#2604C2214yescomplemented
119#2604C2214yescomplemented
120#2597C2214yescomplemented
121#2585C2214yescomplemented
122#2580C2212yescomplemented
123#2580C2212yescomplemented
124#2577C2214yescomplemented
125#2575C2214yescomplemented
126#2574C2214yescomplemented
127#2573C2214yescomplemented
128#2571C2212yescomplemented
129#2571C2211yescharacteristic, complemented
130#2570C2212yescomplemented
131#2570C2212yescomplemented
132#2569C2214yes—
133#2566C2212yescomplemented
134#2564C2214yes—
135#2564C2214yes—
136#2563C2212yescomplemented
137#2558C2214yes—
138#2553C2214yes—
139#2552C2211yescharacteristic, complemented
140#2552C2211yescharacteristic, complemented
141#2551C2211yescharacteristic, complemented
142#2550C2212yescomplemented
143#2548C2211yescharacteristic, complemented
144#2548C2211yescharacteristic, complemented
145#2546C2211yescharacteristic, complemented
146#2546C2211yescharacteristic, complemented
147#2534C2214yes—
148#2532C2214yescomplemented
149#2530C2214yescomplemented
150#2529C2214yescomplemented
151#2527C2214yescomplemented
152#2523C2214yescomplemented
153#2517C2214yescomplemented
154#2513C2212yescomplemented
155#2513C2212yescomplemented
156#2513C2212yescomplemented
157#2513C2212yescomplemented
158#2512C2212yescomplemented
159#2511C2212yescomplemented
160#2510C2214yes—
161#2509C2212yescomplemented
162#2509C2212yescomplemented
163#2508C2212yescomplemented
164#2506C2212yescomplemented
165#2505C2214yescomplemented
166#2504C2212yes—
167#2501C2212yes—
168#2498C2214yes—
169#2498C2214yes—
170#2497C2212yes—
171#2497C2212yes—
172#2495C2212yes—
173#2494C2212yes—
174#2493C2214yescomplemented
175#2491C2212yes—
176#2491C2212yes—
177#2490C2212yes—
178#2489C2212yes—
179#2488C2214yes—
180#2479C2214yescomplemented
181#2472C2214yes—
182#2470C2214yes—
183#2466C2214yes—
184#2462C2214yescomplemented
185#2460C2214yes—
186#2458C2214yes—
187#2454C2212yescomplemented
188#2451C2212yescomplemented
189#2450C2214yes—
190#2450C2214yes—
191#2448C2212yescomplemented
192#2447C2212yescomplemented
193#2446C2212yescomplemented
194#2446C2212yescomplemented
195#2444C2214yes—
196#2442C2212yes—
197#2441C2212yes—
198#2440C2212yes—
199#2439C2212yes—
200#2438C2214yes—
201#2432C2212yes—
202#2432C2212yes—
203#2429C2212yes—
204#2429C2212yes—
205#2427C2212yes—
206#2426C2212yes—
207#2425C2214yes—
208#2422C2212yes—
209#2422C2212yes—
210#2421C2212yes—
211#2420C2212yes—
212#2419C2214yes—
213#2419C2214yes—
214#2418C2214yes—
215#2411C2214yes—
216#2378C2214yes—
217#2377C2214yes—
218#2370C2212yescomplemented
219#2367C2214yes—
220#2366C2211yescharacteristic, complemented
221#2366C2211yescharacteristic, complemented
222#2365C2211yescharacteristic, complemented
223#2365C2211yescharacteristic, complemented
224#2365C2212yescomplemented
225#2362C2212yes—
226#2362C2212yes—
227#2361C2212yes—
228#2361C2212yes—
229#2359C2214yes—
230#2359C2214yes—
231#2357C2212yescomplemented
232#2357C2212yescomplemented
233#2355C2211yescharacteristic, complemented
234#2355C2211yescharacteristic, complemented
235#2355C2212yescomplemented
236#2355C2212yescomplemented
237#2354C2212yescomplemented
238Q8×C4⋊C4C2211yescharacteristic, complemented
239Q8×C4⋊C4C2211yescharacteristic, complemented
240#2349C2214yes—
241#2349C2212yescomplemented
242#2345C2212yes—
243#2344C2212yes—
244#2341C2212yes—
245#2339C2212yes—
246#2336C2214yescomplemented
247#2331C2212yescomplemented
248#2327C2212yescomplemented
249#2327C2212yescomplemented
250#2326C2212yescomplemented
251#2326C2212yescomplemented
252#2326C2212yescomplemented
253#2324C2212yes—
254#2324C2212yes—
255#2320C2212yescomplemented
256#2319C2212yescomplemented
257#2318C2214yescomplemented
258#2314C2212yes—
259#2314C2212yes—
260C4×C22⋊Q8C2211yescharacteristic
261C4×C22⋊Q8C2211yescharacteristic
262C4×C22⋊Q8C2211yescharacteristic
263C4×C22⋊Q8C2211yescharacteristic
264C4×C22⋊Q8C2212yes—
265C4×C22⋊Q8C2212yes—
266C4×C22⋊Q8C2212yes—
267C4×#121C2212yes—
268C4×#121C2212yes—
269C4×#121C2212yes—
270C4×#121C2212yes—
271C4×#121C2212yes—
272#2297C2212yes—
273#2296C2212yes—
274#2285C2211yescharacteristic
275#2285C2211yescharacteristic
276#2283C2212yes—
277#2283C2211yescharacteristic
278#2283C2211yescharacteristic
279#2283C2211yescharacteristic
280#2283C2211yescharacteristic
281#2283C2212yes—
282#2283C2211yescharacteristic
283#2283C2211yescharacteristic
284#2283C2212yes—
285#2283C2212yes—
286#2283C2211yescharacteristic
287#2283C2211yescharacteristic
288C2×#383C2212yes—
289C2×#382C2211yescharacteristic
290C2×#382C2211yescharacteristic
291#2280C2212yes—
292C2×#381C2212yes—
293C2×#380C2211yescharacteristic
294C2×#380C2211yescharacteristic
295C2×C4×C4⋊C4C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C22⋊C4C2212yes—
298C2×#376C2212yes—
299C22×#41C2312yes—
300C24×C4C2311yescharacteristic
301C24×C4C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#533—28no—
304#533—48no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314#529—48no—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2314yes—
323C2×#124C2312yes—
324#525—48no—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#120C2314yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2314yes—
371C2×#117C2314yes—
372C2×#117C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C42—28no—
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2312yes—
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393C22×C42C2311yescharacteristic
394#401C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2312yes—
489#391C2312yes—
490#391C2314yes—
491#391C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2314yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2312yes—
648#385C2312yes—
649#385C2312yes—
650#385C2312yes—
651#385C2312yes—
652#385C2312yes—
653#385C2312yes—
654#385C2312yes—
655#385C2312yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#384C2312yes—
661#384C2312yes—
662#384C2312yes—
663#384C2311yescharacteristic
664#384C2311yescharacteristic
665#384C2311yescharacteristic
666#384C2312yes—
667#384C2311yescharacteristic
668#383C2312yes—
669#383C2312yes—
670#383C2314yes—
671#383C2312yes—
672#383C2312yes—
673#383C2312yes—
674#383C2312yes—
675#383C2312yes—
676#383C2312yes—
677#382C2311yescharacteristic
678#382C2312yes—
679#382C2311yescharacteristic
680#382C2312yes—
681#382C2312yes—
682#382C2311yescharacteristic
683#382C2311yescharacteristic
684#382C2311yescharacteristic
685#382C2314yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2311yescharacteristic
691#382C2312yes—
692#382C2314yes—
693#382C2311yescharacteristic
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2312yes—
697#381C2312yes—
698#381C2314yes—
699#381C2314yes—
700#381C2312yes—
701#381C2312yes—
702#381C2314yes—
703#381C2314yes—
704#381C2312yes—
705#381C2312yes—
706#381C2312yes—
707#381C2312yes—
708#381C2312yes—
709#381C2312yes—
710#381C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#379C2312yes—
749#379C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799#376C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C25C2411yescharacteristic
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—44no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4C2414yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C23×C4—24no—
832C23×C4—24no—
833C23×C4—24no—
834C23×C4—24no—
835C23×C4—24no—
836C23×C4—42no—
837C23×C4—42no—
838C23×C4—42no—
839C23×C4—42no—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2411yescharacteristic
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2411yescharacteristic
865C4⋊Q8—24no—
866C4⋊Q8—24no—
867C4⋊Q8—24no—
868C4⋊Q8—44no—
869C4⋊Q8—44no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872#127—24no—
873#126—48no—
874#125—28no—
875#125—44no—
876#125—44no—
877#125—48no—
878#124—28no—
879#124—44no—
880#124—44no—
881#124—48no—
882#123—48no—
883#123—48no—
884#123—48no—
885#123—48no—
886C22⋊Q8—24no—
887C22⋊Q8—24no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—24no—
891C22⋊Q8—24no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—48no—
895C22⋊Q8—42no—
896C22⋊Q8—42no—
897C22⋊Q8—44no—
898#121—28no—
899#121—28no—
900#121—28no—
901#121—28no—
902#121—44no—
903#121—44no—
904#121—44no—
905#121—44no—
906#120—48no—
907C4×Q8—28no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—48no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—48no—
922C4×D4—48no—
923C4×D4—48no—
924C4×D4—48no—
925#117—28no—
926#117—44no—
927#117—48no—
928#117—48no—
929#117—44no—
930C2×C4⋊C4—24no—
931C2×C4⋊C4—24no—
932C2×C4⋊C4—42no—
933C2×C4⋊C4—42no—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C22⋊C4—44no—
1001C2×C22⋊C4—44no—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C42—24no—
1048C2×C42—24no—
1049C2×C42—24no—
1050C2×C42—28no—
1051C2×C42—24no—
1052C2×C42—24no—
1053C2×C42—24no—
1054C2×C42—24no—
1055C2×C42—24no—
1056C2×C42—24no—
1057C2×C42—24no—
1058C2×C42—24no—
1059C2×C42—44no—
1060C2×C42#4118yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176C24—22no—
1177C24—22no—
1178C24—22no—
1179C24—22no—
1180C24—22no—
1181C24—41no—
1182C24—41no—
1183C24C2514yes—
1184C24C2511yescharacteristic
1185C24C2511yescharacteristic
1186C24C2511yescharacteristic
1187#41—816no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—24no—
1195C2×Q8—24no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—44no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×D4—28no—
1204C2×D4—28no—
1205C2×D4—28no—
1206C2×D4—28no—
1207C2×D4—28no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—28no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—416no—
1278C22×C4—416no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—416no—
1294C22×C4C2×#4114yes—
1295C22×C4C2×#4114yes—
1296C22×C4C2×#4114yes—
1297C22×C4H(5,𝔽2)14yes—
1298C22×C42−1+414yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2514yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2514yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—28no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—24no—
1458C42—24no—
1459C42—24no—
1460C42—24no—
1461C42—24no—
1462C42—24no—
1463C42—42no—
1464C42—42no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42—44no—
1469C42—44no—
1470C42—44no—
1471C42—44no—
1472C42C2×#4114yes—
1473C42C2×#4114yes—
1474C42C2×#4114yes—
1475C42C2×#4114yes—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—28no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—24no—
1494C23—24no—
1495C23—24no—
1496C23—24no—
1497C23—24no—
1498C23—24no—
1499C23—24no—
1500C23—44no—
1501C23—44no—
1502C23—44no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23C22×#4112yes—
1507C23C2×H(5,𝔽2)12yes—
1508C23C2×2−1+412yes—
1509C23#58512yes—
1510C23#58512yes—
1511C23C2611yescharacteristic
1512Q8—44no—
1513Q8—44no—
1514Q8—48no—
1515Q8—84no—
1516Q8—88no—
1517D4—416no—
1518D4—48no—
1519D4—48no—
1520D4—84no—
1521D4—88no—
1522D4—88no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—28no—
1536C2×C4—28no—
1537C2×C4—28no—
1538C2×C4—28no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—48no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—88no—
1624C2×C4—84no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4—88no—
1628C2×C4—164no—
1629C2×C4C22×#4112yes—
1630C2×C4C22×#4112yes—
1631C2×C4C22×#4112yes—
1632C2×C4C22×#4112yes—
1633C2×C4C22×#4112yes—
1634C2×C4C22×#4112yes—
1635C2×C4C2×H(5,𝔽2)12yes—
1636C2×C4C2×H(5,𝔽2)12yes—
1637C2×C4C2×2−1+412yes—
1638C2×C4C2×2−1+412yes—
1639C2×C4#58512yes—
1640C2×C4#58512yes—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—416no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—44no—
1663C22—44no—
1664C22—44no—
1665C22—44no—
1666C22—44no—
1667C22—44no—
1668C22—44no—
1669C22#355414yes—
1670C22C23×#4111yescharacteristic
1671C22C22×H(5,𝔽2)11yescharacteristic
1672C22C22×2−1+411yescharacteristic
1673C22C2×#58511yescharacteristic
1674C22C2×#58511yescharacteristic
1675C22C2×#58511yescharacteristic
1676C22C2×#58511yescharacteristic
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—22no—
1682C4—22no—
1683C4—42no—
1684C4—42no—
1685C4—44no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4—44no—
1690C4—42no—
1691C4—41no—
1692C4—44no—
1693C4—42no—
1694C4—42no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—42no—
1699C4—42no—
1700C4—42no—
1701C4—42no—
1702C4—42no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4#349414yes—
1707C4#349514yes—
1708C2—24no—
1709C2—42no—
1710C2—42no—
1711C2—84no—
1712C2C2×#355411yescharacteristic
1713C2#6274811yescharacteristic
1714C2C2×#349411yescharacteristic
1715C2C2×#349511yescharacteristic
1716C2#6281411yescharacteristic
1717C2#6282711yescharacteristic
1718C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36624C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59332C2semidirect
2. #59326C2semidirect
3. #59260C2semidirect
4. #59247C2semidirect
5. #45780C2semidirect
6. #45475C2semidirect
7. #39149C2semidirect
8. #39147C2semidirect
9. #38943C2semidirect
10. #38941C2semidirect
11. #38063C2semidirect
12. #38060C2semidirect
13. #37992C2semidirect
14. #37987C2semidirect
15. #37984C2semidirect
16. #37913C2semidirect
17. #37852C2semidirect
18. #37851C2semidirect
19. #37624C2semidirect
20. #37619C2semidirect
21. #37384C2semidirect
22. #37294C2semidirect
23. #36625C2semidirect
25. #36599C2semidirect
26. #36587C2semidirect
27. #36148C2semidirect
28. #36143C2semidirect
29. #36133C2semidirect
30. #36117C2semidirect
31. #35326C2semidirect
32. #35270C2semidirect
33. #34393C2semidirect
34. #34373C2semidirect
35. C2×#2283C2semidirect
70. #2777C22semidirect
71. #2776C22semidirect
72. #2775C22semidirect
73. #2773C22semidirect
74. #2770C22semidirect
75. #2769C22semidirect
76. #2768C22semidirect
77. #2763C22semidirect
79. #2757C22semidirect
80. #2754C22semidirect
94. #2738C22semidirect
96. #2737C22semidirect
102. #2666C22semidirect
103. #2660C22semidirect
104. #2658C22semidirect
105. #2647C22semidirect
106. #2645C22semidirect
107. #2644C22semidirect
108. #2642C22semidirect
109. #2640C22semidirect
110. #2640C22semidirect
111. #2633C22semidirect
116. #2611C22semidirect
117. #2611C22semidirect
118. #2604C22semidirect
119. #2604C22semidirect
120. #2597C22semidirect
121. #2585C22semidirect
122. #2580C22semidirect
123. #2580C22semidirect
124. #2577C22semidirect
125. #2575C22semidirect
126. #2574C22semidirect
127. #2573C22semidirect
128. #2571C22semidirect
129. #2571C22semidirect
130. #2570C22semidirect
131. #2570C22semidirect
133. #2566C22semidirect
136. #2563C22semidirect
139. #2552C22semidirect
140. #2552C22semidirect
141. #2551C22semidirect
142. #2550C22semidirect
143. #2548C22semidirect
144. #2548C22semidirect
145. #2546C22semidirect
146. #2546C22semidirect
148. #2532C22semidirect
149. #2530C22semidirect
150. #2529C22semidirect
151. #2527C22semidirect
152. #2523C22semidirect
153. #2517C22semidirect
154. #2513C22semidirect
155. #2513C22semidirect
156. #2513C22semidirect
157. #2513C22semidirect
158. #2512C22semidirect
159. #2511C22semidirect
161. #2509C22semidirect
162. #2509C22semidirect
163. #2508C22semidirect
164. #2506C22semidirect
165. #2505C22semidirect
174. #2493C22semidirect
180. #2479C22semidirect
184. #2462C22semidirect
187. #2454C22semidirect
188. #2451C22semidirect
191. #2448C22semidirect
192. #2447C22semidirect
193. #2446C22semidirect
194. #2446C22semidirect
218. #2370C22semidirect
220. #2366C22semidirect
221. #2366C22semidirect
222. #2365C22semidirect
223. #2365C22semidirect
224. #2365C22semidirect
231. #2357C22semidirect
232. #2357C22semidirect
233. #2355C22semidirect
234. #2355C22semidirect
235. #2355C22semidirect
236. #2355C22semidirect
237. #2354C22semidirect
238. Q8×C4⋊C4C22semidirect
239. Q8×C4⋊C4C22semidirect
241. #2349C22semidirect
246. #2336C22semidirect
247. #2331C22semidirect
248. #2327C22semidirect
249. #2327C22semidirect
250. #2326C22semidirect
251. #2326C22semidirect
252. #2326C22semidirect
255. #2320C22semidirect
256. #2319C22semidirect
257. #2318C22semidirect

Maximal subgroups

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

subgroupindex
#593322
#593262
#592602
#592472
#457802
#454752
#391492
#391472
#389432
#389412
#380632
#380602
#379922
#379872
#379842
#379132
#378522
#378512
#376242
#376192
#373842
#372942
#366252
#366242
#365992
#365872
#361482
#361432
#361332
#361172
#353262
#352702
#343932
#343732
C2×#22832