Finite Group Databasebeta

← #7654825

Subgroups — #7654825

Order 512.

4882 conjugacy classes of subgroups.

The subgroup lattice has 1701 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42400C214yesmaximal, complemented
2#42037C214yesmaximal, complemented
3#42019C214yesmaximal, complemented
4#39263C212yesmaximal, complemented
5#39260C212yesmaximal, complemented
6#39152C212yesmaximal, complemented
7#39046C212yesmaximal, complemented
8#39042C212yesmaximal, complemented
9#38926C212yesmaximal, complemented
10#37955C212yesmaximal, complemented
11#37939C212yesmaximal, complemented
12#37936C212yesmaximal, complemented
13#37856C212yesmaximal, complemented
14#37767C212yesmaximal, complemented
15#37668C212yesmaximal, complemented
16#37637C211yesmaximal, characteristic, complemented
17#37628C211yesmaximal, characteristic, complemented
18#37624C211yesmaximal, characteristic, complemented
19#36570C212yesmaximal, complemented
20#36204C212yesmaximal, complemented
21#36200C212yesmaximal, complemented
22#36143C212yesmaximal, complemented
23#35735C214yesmaximal, complemented
24#35207C211yesmaximal, characteristic, complemented
25#35200C211yesmaximal, characteristic, complemented
26#35177C211yesmaximal, characteristic, complemented
27#35176C211yesmaximal, characteristic, complemented
28#35172C211yesmaximal, characteristic, complemented
29#35170C211yesmaximal, characteristic, complemented
30#34943C211yesmaximal, characteristic, complemented
31#34935C211yesmaximal, characteristic
32#34932C211yesmaximal, characteristic, complemented
33#34225C211yesmaximal, characteristic, complemented
34#34127C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#542C2212yescomplemented
37C2×#533C2211yescharacteristic
38C2×#529C2212yescomplemented
39C2×#525C2212yes—
40C2×C4×#41C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42#2857C2212yescomplemented
43#2857C2212yescomplemented
44#2857C2212yescomplemented
45#2855C2212yescomplemented
46#2855C2212yescomplemented
47#2854C2212yes—
48#2854C2212yes—
49#2851C2212yescomplemented
50#2851C2212yescomplemented
51#2851C2212yescomplemented
52#2848C2212yes—
53#2848C2212yes—
54#2841C2214yes—
55#2836C2214yescomplemented
56#2831C2214yescomplemented
57#2786C2214yescomplemented
58#2783C2214yescomplemented
59#2775C2214yescomplemented
60#2770C2214yescomplemented
61#2769C2214yescomplemented
62#2766C2214yescomplemented
63#2765C2214yescomplemented
64#2761C2214yes—
65#2750C2214yescomplemented
66#2749C2214yes—
67#2744C2214yes—
68#2744C2214yescomplemented
69#2738C2214yes—
70#2737C2214yes—
71#2735C2214yes—
72#2735C2214yes—
73#2715C2214yescomplemented
74#2706C2214yes—
75#2698C2214yescomplemented
76#2697C2214yes—
77#2695C2214yes—
78#2695C2214yescomplemented
79#2687C2214yes—
80#2684C2214yes—
81#2667C2214yescomplemented
82#2666C2214yescomplemented
83#2665C2214yescomplemented
84#2663C2214yescomplemented
85#2660C2212yescomplemented
86#2654C2214yescomplemented
87#2653C2214yescomplemented
88#2647C2212yescomplemented
89#2647C2212yescomplemented
90#2647C2212yescomplemented
91#2644C2212yes—
92#2644C2212yes—
93#2638C2214yes—
94#2637C2214yescomplemented
95#2629C2212yes—
96#2629C2212yescomplemented
97#2628C2212yes—
98#2626C2214yes—
99#2625C2212yescomplemented
100#2625C2212yescomplemented
101#2621C2212yescomplemented
102#2612C2214yescomplemented
103#2603C2214yes—
104#2599C2214yescomplemented
105#2597C2214yes—
106#2587C2214yescomplemented
107#2585C2214yescomplemented
108#2580C2214yes—
109#2579C2214yescomplemented
110#2577C2214yescomplemented
111#2574C2214yescomplemented
112#2573C2214yes—
113#2573C2214yescomplemented
114#2572C2214yescomplemented
115#2571C2211yescharacteristic, complemented
116#2570C2212yescomplemented
117#2567C2211yescharacteristic, complemented
118#2566C2212yes—
119#2566C2212yes—
120#2563C2211yescharacteristic
121#2563C2211yescharacteristic
122#2563C2211yescharacteristic, complemented
123#2561C2214yes—
124#2553C2214yes—
125#2553C2214yescomplemented
126#2552C2211yescharacteristic, complemented
127#2552C2211yescharacteristic, complemented
128#2551C2211yescharacteristic, complemented
129#2550C2212yescomplemented
130#2547C2211yescharacteristic, complemented
131#2546C2211yescharacteristic, complemented
132#2542C2211yescharacteristic
133#2542C2211yescharacteristic
134#2538C2211yescharacteristic
135#2538C2212yes—
136#2538C2212yes—
137#2538C2211yescharacteristic
138#2537C2211yescharacteristic
139#2537C2211yescharacteristic
140#2536C2212yes—
141#2535C2212yes—
142#2534C2214yes—
143#2534C2214yes—
144#2531C2214yes—
145#2530C2214yescomplemented
146#2529C2214yescomplemented
147#2527C2214yes—
148#2525C2214yescomplemented
149#2523C2214yescomplemented
150#2522C2214yescomplemented
151#2522C2214yescomplemented
152#2521C2214yescomplemented
153#2515C2214yescomplemented
154#2513C2212yes—
155#2512C2212yes—
156#2509C2212yescomplemented
157#2508C2212yescomplemented
158#2507C2212yescomplemented
159#2507C2212yescomplemented
160#2499C2212yes—
161#2497C2212yescomplemented
162#2496C2212yescomplemented
163#2496C2212yescomplemented
164#2496C2212yescomplemented
165#2495C2212yescomplemented
166#2495C2212yescomplemented
167#2494C2212yescomplemented
168#2494C2212yescomplemented
169#2493C2214yescomplemented
170#2492C2212yescomplemented
171#2492C2212yescomplemented
172#2491C2212yes—
173#2490C2212yes—
174#2489C2212yescomplemented
175#2489C2212yescomplemented
176#2486C2212yes—
177#2485C2212yes—
178#2485C2212yes—
179#2481C2214yescomplemented
180#2480C2214yes—
181#2478C2214yescomplemented
182#2470C2214yes—
183#2468C2214yescomplemented
184#2466C2214yescomplemented
185#2465C2214yescomplemented
186#2461C2214yes—
187#2458C2214yescomplemented
188#2454C2212yes—
189#2452C2212yes—
190#2450C2214yescomplemented
191#2449C2214yescomplemented
192#2447C2214yescomplemented
193#2441C2212yes—
194#2439C2212yes—
195#2432C2212yes—
196#2429C2212yescomplemented
197#2429C2212yescomplemented
198#2427C2212yescomplemented
199#2427C2212yescomplemented
200#2423C2212yescomplemented
201#2422C2212yes—
202#2422C2212yescomplemented
203#2421C2212yescomplemented
204#2420C2212yes—
205#2420C2212yescomplemented
206#2419C2214yescomplemented
207#2419C2214yescomplemented
208#2418C2214yes—
209#2413C2214yescomplemented
210#2408C2212yes—
211#2398C2214yescomplemented
212#2395C2214yescomplemented
213#2392C2214yes—
214#2373C2214yescomplemented
215#2370C2212yescomplemented
216#2370C2212yescomplemented
217#2368C2214yescomplemented
218#2362C2212yes—
219#2362C2212yes—
220#2359C2214yescomplemented
221#2357C2211yescharacteristic
222#2357C2211yescharacteristic
223#2356C2212yescomplemented
224#2355C2211yescharacteristic, complemented
225#2355C2211yescharacteristic, complemented
226#2353C2212yes—
227#2353C2212yes—
228#2352C2212yes—
229#2352C2212yes—
230#2351C2212yescomplemented
231#2349C2211yescharacteristic
232#2349C2211yescharacteristic
233#2349C2214yescomplemented
234D4×C4⋊C4C2211yescharacteristic, complemented
235D4×C4⋊C4C2211yescharacteristic, complemented
236#2347C2212yes—
237#2347C2211yescharacteristic
238#2347C2211yescharacteristic
239#2346C2212yes—
240#2345C2211yescharacteristic
241#2345C2211yescharacteristic
242#2343C2212yescomplemented
243#2343C2212yescomplemented
244#2342C2212yes—
245#2342C2212yes—
246#2339C2211yescharacteristic
247#2339C2211yescharacteristic
248D4×C22⋊C4C2211yescharacteristic
249D4×C22⋊C4C2211yescharacteristic
250#2331C2212yescomplemented
251#2330C2212yescomplemented
252#2327C2212yescomplemented
253#2326C2212yescomplemented
254#2324C2212yescomplemented
255#2323C2212yes—
256#2323C2212yes—
257#2323C2212yescomplemented
258#2320C2212yescomplemented
259#2319C2212yes—
260#2319C2212yes—
261#2317C2212yes—
262#2314C2212yescomplemented
263#2309C2212yes—
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×C22⋊Q8C2212yescomplemented
269C4×#121C2212yes—
270C4×#121C2212yes—
271C4×#121C2212yes—
272C4×#121C2212yes—
273C4×#121C2212yescomplemented
274#2295C2211yescharacteristic, complemented
275#2295C2211yescharacteristic, complemented
276#2293C2211yescharacteristic
277#2293C2211yescharacteristic
278#2290C2212yes—
279#2290C2212yes—
280#2290C2212yes—
281#2290C2212yes—
282#2285C2211yescharacteristic
283#2285C2211yescharacteristic
284#2285C2212yescomplemented
285#2283C2211yescharacteristic
286#2283C2212yescomplemented
287#2283C2212yescomplemented
288#2283C2212yescomplemented
289#2280C2212yes—
290#2280C2212yes—
291#2276C2212yescomplemented
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#542—48no—
303#533—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309#529—48no—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124C2312yes—
317C2×#124C2314yes—
318#525—48no—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#120C2314yes—
338C4×#41—28no—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×D4—28no—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2314yes—
379C2×#117C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C42C2312yes—
387C22×C42C2312yes—
388C22×C42C2312yes—
389C22×C42C2312yes—
390C22×C42C2312yes—
391C22×C42C2311yescharacteristic
392#401C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
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#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#392C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#391C2314yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2314yes—
502#390C2312yes—
503#390C2314yes—
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2314yes—
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#388C2312yes—
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#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2312yes—
630#386C2312yes—
631#386C2312yes—
632#386C2312yes—
633#386C2312yes—
634#386C2312yes—
635#386C2312yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2312yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2312yes—
657#385C2312yes—
658#385C2312yes—
659#385C2312yes—
660#385C2312yes—
661#385C2314yes—
662#384C2311yescharacteristic
663#384C2311yescharacteristic
664#384C2312yes—
665#384C2312yes—
666#384C2312yes—
667#384C2312yes—
668#384C2312yes—
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#383C2314yes—
672#383C2314yes—
673#383C2312yes—
674#383C2314yes—
675#383C2312yes—
676#383C2312yes—
677#382C2312yes—
678#382C2312yes—
679#382C2312yes—
680#382C2311yescharacteristic
681#382C2312yes—
682#382C2312yes—
683#382C2314yes—
684#382C2314yes—
685#382C2312yes—
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2314yes—
691#381C2314yes—
692#381C2314yes—
693#381C2314yes—
694#381C2314yes—
695#381C2312yes—
696#381C2314yes—
697#381C2312yes—
698#381C2312yes—
699#381C2312yes—
700#381C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2312yes—
715#380C2311yescharacteristic
716#380C2311yescharacteristic
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#379C2314yes—
734#379C2314yes—
735#379C2314yes—
736#379C2312yes—
737#379C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2311yescharacteristic
806#376C2312yes—
807#376C2311yescharacteristic
808#376C2314yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—42no—
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4—24no—
825C22×D4—24no—
826C22×D4—42no—
827C22×D4C2411yescharacteristic
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2414yes—
834C23×C4—28no—
835C23×C4—44no—
836C23×C4—44no—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C4⋊Q8—24no—
857C4⋊Q8—24no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861#126—48no—
862#126—48no—
863#126—48no—
864#125—28no—
865#125—44no—
866#125—44no—
867#124—28no—
868#124—48no—
869#123—48no—
870#123—48no—
871#123—48no—
872#123—48no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883#121—28no—
884#121—28no—
885#121—28no—
886#121—44no—
887#120—48no—
888C4×Q8—24no—
889C4×Q8—24no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—42no—
911C4×D4—42no—
912C4×D4—42no—
913C4×D4—42no—
914C4×D4—48no—
915C4×D4—48no—
916C4×D4—48no—
917C4×D4—48no—
918#117—24no—
919#117—28no—
920#117—28no—
921#117—44no—
922#117—44no—
923#117—44no—
924#117—42no—
925#117—42no—
926#117—48no—
927#117—44no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C22⋊C4—28no—
998C2×C22⋊C4—44no—
999C2×C22⋊C4—44no—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C42—28no—
1054C2×C42—44no—
1055C2×C42—44no—
1056C2×C42—44no—
1057C2×C42—44no—
1058C2×C42#4118yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
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#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2414yes—
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24—24no—
1173C24—24no—
1174C24—42no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24C2512yes—
1180C24C2511yescharacteristic
1181C24C2512yes—
1182C24C2512yes—
1183#41—416no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×D4—24no—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—28no—
1200C2×D4—24no—
1201C2×D4—28no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—416no—
1211C2×D4—44no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4H(5,𝔽2)14yes—
1217C2×D42−1+414yes—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—816no—
1273C22×C4C2×#4114yes—
1274C22×C4C2×#4114yes—
1275C22×C4C2×#4114yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2514yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2514yes—
1297C22×C4C2514yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—28no—
1336C4⋊C4—24no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—41no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—41no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—28no—
1430C42—22no—
1431C42—24no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—28no—
1445C42—42no—
1446C42—42no—
1447C42—42no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—41no—
1454C42—41no—
1455C42—44no—
1456C42—44no—
1457C42—44no—
1458C42—44no—
1459C42C2×#4114yes—
1460C42C2×#4114yes—
1461C42C2×#4114yes—
1462C42C2×#4114yes—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—21no—
1467C23—22no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—22no—
1472C23—21no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—21no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—48no—
1489C23—48no—
1490C23—84no—
1491C23—84no—
1492C23—84no—
1493C23—84no—
1494C23—84no—
1495C23C22×#4112yes—
1496C23C2×H(5,𝔽2)14yes—
1497C23C2×2−1+414yes—
1498C23C2611yescharacteristic
1499Q8—48no—
1500Q8—48no—
1501Q8—44no—
1502Q8—164no—
1503D4—28no—
1504D4—28no—
1505D4—48no—
1506D4—416no—
1507D4—48no—
1508D4—44no—
1509D4—88no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—28no—
1523C2×C4—28no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—24no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—44no—
1594C2×C4—48no—
1595C2×C4—48no—
1596C2×C4—48no—
1597C2×C4—48no—
1598C2×C4—48no—
1599C2×C4—48no—
1600C2×C4—84no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—84no—
1607C2×C4—84no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4C22×#4112yes—
1611C2×C4C22×#4112yes—
1612C2×C4C22×#4112yes—
1613C2×C4C22×#4112yes—
1614C2×C4C22×#4112yes—
1615C2×C4C22×#4112yes—
1616C2×C4C2×H(5,𝔽2)12yes—
1617C2×C4C2×2−1+412yes—
1618C2×C4#58512yes—
1619C2×C4#58512yes—
1620C2×C4#58512yes—
1621C2×C4#58512yes—
1622C22—24no—
1623C22—24no—
1624C22—24no—
1625C22—24no—
1626C22—22no—
1627C22—24no—
1628C22—22no—
1629C22—24no—
1630C22—22no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—42no—
1635C22—41no—
1636C22—42no—
1637C22—42no—
1638C22—41no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—816no—
1651C22C23×#4111yescharacteristic
1652C22C22×H(5,𝔽2)11yescharacteristic
1653C22C22×2−1+411yescharacteristic
1654C22C2×#58511yescharacteristic
1655C22C2×#58511yescharacteristic
1656C22C2×#58511yescharacteristic
1657C22C2×#58511yescharacteristic
1658C4—22no—
1659C4—22no—
1660C4—22no—
1661C4—22no—
1662C4—22no—
1663C4—22no—
1664C4—41no—
1665C4—42no—
1666C4—41no—
1667C4—44no—
1668C4—42no—
1669C4—41no—
1670C4—42no—
1671C4—42no—
1672C4—44no—
1673C4—41no—
1674C4—42no—
1675C4—41no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—41no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—44no—
1684C4—42no—
1685C4—42no—
1686C4—44no—
1687C4#349414yes—
1688C4#349514yes—
1689C2—44no—
1690C2—44no—
1691C2—42no—
1692C2—82no—
1693C2#6268611yescharacteristic
1694C2C2×#349411yescharacteristic
1695C2C2×#349511yescharacteristic
1696C2#6301311yescharacteristic
1697C2#6301811yescharacteristic
1698C2#6302511yescharacteristic
1699C2#6302811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34935C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42400C2semidirect
2. #42037C2semidirect
3. #42019C2semidirect
4. #39263C2semidirect
5. #39260C2semidirect
6. #39152C2semidirect
7. #39046C2semidirect
8. #39042C2semidirect
9. #38926C2semidirect
10. #37955C2semidirect
11. #37939C2semidirect
12. #37936C2semidirect
13. #37856C2semidirect
14. #37767C2semidirect
15. #37668C2semidirect
16. #37637C2semidirect
17. #37628C2semidirect
18. #37624C2semidirect
19. #36570C2semidirect
20. #36204C2semidirect
21. #36200C2semidirect
22. #36143C2semidirect
23. #35735C2semidirect
24. #35207C2semidirect
25. #35200C2semidirect
26. #35177C2semidirect
27. #35176C2semidirect
28. #35172C2semidirect
29. #35170C2semidirect
30. #34943C2semidirect
32. #34932C2semidirect
33. #34225C2semidirect
34. #34127C2semidirect
35. #34126C2semidirect
36. C2×#542C22semidirect
38. C2×#529C22semidirect
42. #2857C22semidirect
43. #2857C22semidirect
44. #2857C22semidirect
45. #2855C22semidirect
46. #2855C22semidirect
49. #2851C22semidirect
50. #2851C22semidirect
51. #2851C22semidirect
55. #2836C22semidirect
56. #2831C22semidirect
57. #2786C22semidirect
58. #2783C22semidirect
59. #2775C22semidirect
60. #2770C22semidirect
61. #2769C22semidirect
62. #2766C22semidirect
63. #2765C22semidirect
65. #2750C22semidirect
68. #2744C22semidirect
73. #2715C22semidirect
75. #2698C22semidirect
78. #2695C22semidirect
81. #2667C22semidirect
82. #2666C22semidirect
83. #2665C22semidirect
84. #2663C22semidirect
85. #2660C22semidirect
86. #2654C22semidirect
87. #2653C22semidirect
88. #2647C22semidirect
89. #2647C22semidirect
90. #2647C22semidirect
94. #2637C22semidirect
96. #2629C22semidirect
99. #2625C22semidirect
100. #2625C22semidirect
101. #2621C22semidirect
102. #2612C22semidirect
104. #2599C22semidirect
106. #2587C22semidirect
107. #2585C22semidirect
109. #2579C22semidirect
110. #2577C22semidirect
111. #2574C22semidirect
113. #2573C22semidirect
114. #2572C22semidirect
115. #2571C22semidirect
116. #2570C22semidirect
117. #2567C22semidirect
122. #2563C22semidirect
125. #2553C22semidirect
126. #2552C22semidirect
127. #2552C22semidirect
128. #2551C22semidirect
129. #2550C22semidirect
130. #2547C22semidirect
131. #2546C22semidirect
145. #2530C22semidirect
146. #2529C22semidirect
148. #2525C22semidirect
149. #2523C22semidirect
150. #2522C22semidirect
151. #2522C22semidirect
152. #2521C22semidirect
153. #2515C22semidirect
156. #2509C22semidirect
157. #2508C22semidirect
158. #2507C22semidirect
159. #2507C22semidirect
161. #2497C22semidirect
162. #2496C22semidirect
163. #2496C22semidirect
164. #2496C22semidirect
165. #2495C22semidirect
166. #2495C22semidirect
167. #2494C22semidirect
168. #2494C22semidirect
169. #2493C22semidirect
170. #2492C22semidirect
171. #2492C22semidirect
174. #2489C22semidirect
175. #2489C22semidirect
179. #2481C22semidirect
181. #2478C22semidirect
183. #2468C22semidirect
184. #2466C22semidirect
185. #2465C22semidirect
187. #2458C22semidirect
190. #2450C22semidirect
191. #2449C22semidirect
192. #2447C22semidirect
196. #2429C22semidirect
197. #2429C22semidirect
198. #2427C22semidirect
199. #2427C22semidirect
200. #2423C22semidirect
202. #2422C22semidirect
203. #2421C22semidirect
205. #2420C22semidirect
206. #2419C22semidirect
207. #2419C22semidirect
209. #2413C22semidirect
211. #2398C22semidirect
212. #2395C22semidirect
214. #2373C22semidirect
215. #2370C22semidirect
216. #2370C22semidirect
217. #2368C22semidirect
220. #2359C22semidirect
223. #2356C22semidirect
224. #2355C22semidirect
225. #2355C22semidirect
230. #2351C22semidirect
233. #2349C22semidirect
234. D4×C4⋊C4C22semidirect
235. D4×C4⋊C4C22semidirect
242. #2343C22semidirect
243. #2343C22semidirect
250. #2331C22semidirect
251. #2330C22semidirect
252. #2327C22semidirect
253. #2326C22semidirect
254. #2324C22semidirect
257. #2323C22semidirect
258. #2320C22semidirect
262. #2314C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C22⋊Q8C22semidirect
273. C4×#121C22semidirect
274. #2295C22semidirect
275. #2295C22semidirect
284. #2285C22semidirect
286. #2283C22semidirect
287. #2283C22semidirect
288. #2283C22semidirect
291. #2276C22semidirect
294. C42×D4C22semidirect
295. C42×D4C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#424002
#420372
#420192
#392632
#392602
#391522
#390462
#390422
#389262
#379552
#379392
#379362
#378562
#377672
#376682
#376372
#376282
#376242
#365702
#362042
#362002
#361432
#357352
#352072
#352002
#351772
#351762
#351722
#351702
#349432
#349352
#349322
#342252
#341272
#341262