Finite Group Databasebeta

← #7647828

Subgroups — #7647828

Order 512.

4788 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41724C214yesmaximal, complemented
2#41668C214yesmaximal, complemented
3#41084C214yesmaximal, complemented
4#40996C214yesmaximal, complemented
5#39688C212yesmaximal, complemented
6#39545C212yesmaximal, complemented
7#39295C212yesmaximal, complemented
8#39042C212yesmaximal, complemented
9#38278C212yesmaximal, complemented
10#38206C212yesmaximal, complemented
11#37987C212yesmaximal, complemented
12#37938C212yesmaximal, complemented
13#37642C211yesmaximal, characteristic, complemented
14#37636C211yesmaximal, characteristic, complemented
15#37633C211yesmaximal, characteristic, complemented
16#37628C211yesmaximal, characteristic, complemented
17#37417C212yesmaximal, complemented
18#37381C212yesmaximal, complemented
19#37349C212yesmaximal, complemented
20#37282C212yesmaximal, complemented
21#35657C212yesmaximal, complemented
22#35573C212yesmaximal, complemented
23#35325C212yesmaximal, complemented
24#35260C212yesmaximal, complemented
25#35236C211yesmaximal, characteristic
26#35196C211yesmaximal, characteristic, complemented
27#35185C211yesmaximal, characteristic, complemented
28#35177C211yesmaximal, characteristic, complemented
29#35172C211yesmaximal, characteristic, complemented
30#35170C211yesmaximal, characteristic, complemented
31#34943C211yesmaximal, characteristic, complemented
32#34929C211yesmaximal, characteristic, complemented
33#34225C211yesmaximal, characteristic, complemented
34D4×#117C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic, complemented
36C2×#542C2212yescomplemented
37C2×#533C2211yescharacteristic
38C2×#533C2212yescomplemented
39C2×#529C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41C22×#117C2212yes—
42#2864C2212yescomplemented
43#2860C2212yes—
44#2857C2212yescomplemented
45#2857C2212yescomplemented
46#2855C2212yescomplemented
47#2855C2212yescomplemented
48#2854C2212yes—
49#2850C2212yescomplemented
50#2848C2212yes—
51#2848C2212yes—
52#2848C2212yes—
53#2847C2212yes—
54#2844C2214yescomplemented
55#2836C2214yescomplemented
56#2832C2214yescomplemented
57#2814C2214yes—
58#2800C2214yescomplemented
59#2788C2214yescomplemented
60#2788C2214yescomplemented
61#2784C2214yescomplemented
62#2780C2214yescomplemented
63#2779C2214yescomplemented
64#2777C2214yescomplemented
65#2774C2214yescomplemented
66#2773C2214yescomplemented
67#2771C2214yes—
68#2770C2214yescomplemented
69#2770C2214yescomplemented
70#2764C2214yes—
71#2761C2214yescomplemented
72#2761C2214yescomplemented
73#2758C2214yescomplemented
74#2753C2214yes—
75#2751C2214yes—
76#2750C2214yescomplemented
77#2749C2214yes—
78#2743C2214yes—
79#2739C2214yescomplemented
80#2738C2214yescomplemented
81#2737C2214yes—
82#2736C2214yes—
83#2735C2214yes—
84#2729C2214yescomplemented
85#2723C2214yes—
86#2716C2214yescomplemented
87#2715C2214yescomplemented
88#2685C2214yes—
89#2684C2214yes—
90#2665C2214yescomplemented
91#2663C2214yescomplemented
92#2654C2214yescomplemented
93#2650C2214yescomplemented
94#2649C2214yescomplemented
95#2647C2212yescomplemented
96#2644C2212yes—
97#2637C2214yescomplemented
98#2636C2214yes—
99#2632C2214yescomplemented
100#2629C2212yescomplemented
101#2629C2212yescomplemented
102#2628C2212yes—
103#2628C2212yes—
104#2628C2212yes—
105#2628C2214yes—
106#2628C2212yes—
107#2628C2212yescomplemented
108#2628C2212yescomplemented
109#2626C2214yes—
110#2625C2212yescomplemented
111#2624C2212yes—
112#2624C2212yescomplemented
113#2621C2212yes—
114#2621C2212yescomplemented
115#2620C2212yes—
116#2611C2214yes—
117#2611C2214yescomplemented
118#2610C2214yes—
119#2604C2214yescomplemented
120#2601C2214yescomplemented
121#2599C2214yes—
122#2599C2214yescomplemented
123#2597C2214yes—
124#2587C2214yescomplemented
125#2583C2214yescomplemented
126#2580C2214yes—
127#2572C2214yescomplemented
128#2571C2212yescomplemented
129#2571C2212yescomplemented
130#2571C2211yescharacteristic, complemented
131#2571C2211yescharacteristic, complemented
132#2567C2211yescharacteristic, complemented
133#2566C2212yes—
134#2566C2212yes—
135#2565C2212yescomplemented
136#2563C2211yescharacteristic
137#2563C2211yescharacteristic
138#2563C2211yescharacteristic, complemented
139#2562C2212yes—
140#2561C2214yes—
141#2558C2214yescomplemented
142#2556C2214yescomplemented
143#2556C2214yescomplemented
144#2551C2211yescharacteristic, complemented
145#2551C2212yescomplemented
146#2551C2211yescharacteristic, complemented
147#2551C2212yescomplemented
148#2547C2211yescharacteristic, complemented
149#2546C2211yescharacteristic, complemented
150#2545C2212yescomplemented
151#2545C2214yescomplemented
152#2542C2211yescharacteristic
153#2542C2211yescharacteristic
154#2540C2212yes—
155#2538C2212yes—
156#2538C2212yes—
157#2538C2211yescharacteristic
158#2538C2211yescharacteristic
159#2537C2211yescharacteristic
160#2537C2211yescharacteristic
161#2533C2214yescomplemented
162#2533C2214yescomplemented
163#2529C2214yescomplemented
164#2526C2214yes—
165#2525C2214yescomplemented
166#2521C2214yescomplemented
167#2516C2214yescomplemented
168#2515C2214yescomplemented
169#2513C2212yes—
170#2513C2212yes—
171#2509C2212yescomplemented
172#2509C2212yescomplemented
173#2507C2212yescomplemented
174#2506C2212yescomplemented
175#2497C2212yescomplemented
176#2497C2212yescomplemented
177#2496C2212yescomplemented
178#2496C2212yescomplemented
179#2495C2212yescomplemented
180#2495C2212yescomplemented
181#2495C2212yescomplemented
182#2495C2212yescomplemented
183#2492C2212yescomplemented
184#2492C2212yescomplemented
185#2492C2212yescomplemented
186#2491C2212yes—
187#2491C2212yes—
188#2491C2212yescomplemented
189#2487C2212yes—
190#2485C2212yes—
191#2485C2212yes—
192#2484C2214yescomplemented
193#2482C2214yes—
194#2481C2214yescomplemented
195#2479C2214yes—
196#2477C2214yes—
197#2474C2214yescomplemented
198#2472C2214yes—
199#2470C2214yescomplemented
200#2469C2214yescomplemented
201#2465C2214yescomplemented
202#2461C2214yes—
203#2452C2212yes—
204#2452C2212yes—
205#2452C2214yescomplemented
206#2449C2214yescomplemented
207#2429C2212yescomplemented
208#2429C2212yescomplemented
209#2427C2212yescomplemented
210#2426C2212yescomplemented
211#2421C2212yescomplemented
212#2421C2212yescomplemented
213#2421C2212yescomplemented
214#2420C2212yes—
215#2420C2212yes—
216#2420C2212yescomplemented
217#2418C2214yes—
218#2411C2214yes—
219#2408C2212yes—
220#2398C2214yescomplemented
221#2396C2214yescomplemented
222#2370C2212yescomplemented
223#2370C2212yescomplemented
224#2362C2212yes—
225#2362C2212yes—
226#2356C2212yescomplemented
227#2354C2211yescharacteristic
228#2354C2211yescharacteristic
229#2352C2212yes—
230#2352C2212yes—
231#2351C2212yescomplemented
232D4×C4⋊C4C2211yescharacteristic
233D4×C4⋊C4C2211yescharacteristic
234#2347C2212yes—
235#2346C2212yes—
236#2344C2211yescharacteristic
237#2344C2211yescharacteristic
238#2342C2212yes—
239#2342C2212yes—
240D4×C22⋊C4C2211yescharacteristic
241D4×C22⋊C4C2211yescharacteristic
242#2335C2212yes—
243#2335C2212yes—
244#2334C2212yescomplemented
245#2334C2212yescomplemented
246#2331C2212yescomplemented
247#2330C2211yescharacteristic, complemented
248#2330C2211yescharacteristic, complemented
249#2326C2211yescharacteristic, complemented
250#2326C2211yescharacteristic, complemented
251#2324C2212yes—
252#2324C2212yes—
253#2324C2211yescharacteristic
254#2324C2211yescharacteristic
255#2324C2212yes—
256#2323C2211yescharacteristic
257#2323C2212yes—
258#2323C2211yescharacteristic
259#2323C2212yes—
260#2323C2212yescomplemented
261#2323C2212yescomplemented
262#2320C2212yescomplemented
263#2319C2212yes—
264#2317C2212yes—
265#2314C2212yescomplemented
266#2314C2212yescomplemented
267#2309C2212yes—
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×C4⋊Q8C2212yescomplemented
271C4×C4⋊Q8C2211yescharacteristic, complemented
272C4×C4⋊Q8C2211yescharacteristic, complemented
273C4×C22⋊Q8C2212yescomplemented
274C4×#121C2212yes—
275C4×#121C2212yescomplemented
276#2298C2212yescomplemented
277#2296C2212yescomplemented
278#2295C2211yescharacteristic, complemented
279#2293C2211yescharacteristic
280#2293C2212yes—
281#2293C2212yes—
282#2293C2211yescharacteristic
283#2293C2211yescharacteristic, complemented
284#2290C2212yes—
285#2290C2212yes—
286#2290C2212yes—
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2283C2212yescomplemented
291#2283C2212yescomplemented
292#2280C2212yes—
293#2276C2212yescomplemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#542—48no—
302#533—28no—
303#533—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312#529—28no—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#124C2314yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#120C2314yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×D4—28no—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2314yes—
369C2×#117—48no—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2314yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C42C2312yes—
392C22×C42C2312yes—
393C22×C42C2312yes—
394C22×C42C2311yescharacteristic
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#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
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#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#392C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2314yes—
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2314yes—
666#386C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2312yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2314yes—
710#382C2314yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2312yes—
719#381C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#379C2314yes—
749#379C2314yes—
750#379C2314yes—
751#379C2312yes—
752#379C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2311yescharacteristic
810#376C2311yescharacteristic
811#376C2314yes—
812#376C2314yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2312yes—
816C25C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×D4—24no—
823C22×D4—24no—
824C22×D4—42no—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C23×C4—28no—
833C23×C4—44no—
834C23×C4—44no—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857C4⋊Q8—84no—
858#126—28no—
859#126—48no—
860#126—84no—
861#125—24no—
862#125—28no—
863#125—48no—
864#124—24no—
865#124—48no—
866#124—44no—
867#124—84no—
868#123—28no—
869#123—48no—
870C22⋊Q8—24no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—84no—
882#121—28no—
883#121—24no—
884#121—44no—
885#121—44no—
886#121—44no—
887#120—84no—
888C4×Q8—24no—
889C4×Q8—28no—
890C4×Q8—28no—
891C4×Q8—24no—
892C4×Q8—28no—
893C4×Q8—48no—
894C4×Q8—42no—
895C4×Q8—44no—
896C4×Q8—82no—
897C4×Q8—82no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—24no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—42no—
910C4×D4—42no—
911C4×D4—42no—
912C4×D4—84no—
913#117—28no—
914#117—28no—
915#117—24no—
916#117—28no—
917#117—44no—
918#117—44no—
919#117—44no—
920#117—44no—
921#117—42no—
922#117—48no—
923#117—44no—
924#117—44no—
925#117—44no—
926#117—44no—
927#117—82no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C22⋊C4—28no—
1003C2×C22⋊C4—44no—
1004C2×C22⋊C4—44no—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C42—28no—
1063C2×C42—44no—
1064C2×C42—44no—
1065C2×C42#4118yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173C24—24no—
1174C24—24no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24—42no—
1180C24C2512yes—
1181C24C2512yes—
1182C24C2511yescharacteristic
1183C24C2512yes—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×Q8—44no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—28no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—416no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D42−1+414yes—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
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—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—41no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—41no—
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—432no—
1264C22×C4C2×#4114yes—
1265C22×C4C2×#4114yes—
1266C22×C4C2×#4114yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C22⋊C4—28no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—41no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—41no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
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—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C42—24no—
1427C42—28no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—28no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—22no—
1440C42—24no—
1441C42—22no—
1442C42—22no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—41no—
1448C42—42no—
1449C42—41no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C42—42no—
1454C42—41no—
1455C42—41no—
1456C42—44no—
1457C42—42no—
1458C42C2×#4114yes—
1459C42C2×#4114yes—
1460C42C2×#4114yes—
1461C42C2×#4114yes—
1462C42H(5,𝔽2)14yes—
1463C23—22no—
1464C23—21no—
1465C23—22no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—21no—
1473C23—22no—
1474C23—21no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—48no—
1490C23—48no—
1491C23—84no—
1492C23—84no—
1493C23—84no—
1494C23—84no—
1495C23—84no—
1496C23C22×#4112yes—
1497C23C2×2−1+414yes—
1498C23C2611yescharacteristic
1499Q8—48no—
1500Q8—44no—
1501Q8—48no—
1502Q8—88no—
1503Q8—164no—
1504D4—28no—
1505D4—48no—
1506D4—44no—
1507D4—44no—
1508D4—84no—
1509D4—88no—
1510D4—164no—
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—21no—
1523C2×C4—28no—
1524C2×C4—28no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
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—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—24no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—44no—
1595C2×C4—48no—
1596C2×C4—48no—
1597C2×C4—48no—
1598C2×C4—48no—
1599C2×C4—48no—
1600C2×C4—48no—
1601C2×C4—48no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—84no—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4C22×#4112yes—
1612C2×C4C22×#4112yes—
1613C2×C4C2×H(5,𝔽2)12yes—
1614C2×C4C2×H(5,𝔽2)12yes—
1615C2×C4C2×H(5,𝔽2)12yes—
1616C2×C4C2×2−1+412yes—
1617C2×C4#58512yes—
1618C2×C4#58512yes—
1619C22—22no—
1620C22—24no—
1621C22—22no—
1622C22—22no—
1623C22—24no—
1624C22—24no—
1625C22—42no—
1626C22—42no—
1627C22—41no—
1628C22—42no—
1629C22—42no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—816no—
1648C22C23×#4111yescharacteristic
1649C22C22×H(5,𝔽2)11yescharacteristic
1650C22C22×2−1+411yescharacteristic
1651C22C2×#58511yescharacteristic
1652C22C2×#58511yescharacteristic
1653C22H(7,𝔽2)11yescharacteristic
1654C222−1+611yescharacteristic
1655C4—22no—
1656C4—22no—
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—22no—
1661C4—42no—
1662C4—42no—
1663C4—44no—
1664C4—41no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—44no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—44no—
1674C4—41no—
1675C4—42no—
1676C4—42no—
1677C4—41no—
1678C4—42no—
1679C4—42no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—44no—
1684C4#346014yes—
1685C4#349514yes—
1686C2—44no—
1687C2—42no—
1688C2—82no—
1689C2—82no—
1690C2C2×#346011yescharacteristic
1691C2C2×#349511yescharacteristic
1692C2#6285611yescharacteristic
1693C2#6293011yescharacteristic
1694C2#6293611yescharacteristic
1695C2#6294211yescharacteristic
1696C2#6295111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35236C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #41724C2semidirect
2. #41668C2semidirect
3. #41084C2semidirect
4. #40996C2semidirect
5. #39688C2semidirect
6. #39545C2semidirect
7. #39295C2semidirect
8. #39042C2semidirect
9. #38278C2semidirect
10. #38206C2semidirect
11. #37987C2semidirect
12. #37938C2semidirect
13. #37642C2semidirect
14. #37636C2semidirect
15. #37633C2semidirect
16. #37628C2semidirect
17. #37417C2semidirect
18. #37381C2semidirect
19. #37349C2semidirect
20. #37282C2semidirect
21. #35657C2semidirect
22. #35573C2semidirect
23. #35325C2semidirect
24. #35260C2semidirect
26. #35196C2semidirect
27. #35185C2semidirect
28. #35177C2semidirect
29. #35172C2semidirect
30. #35170C2semidirect
31. #34943C2semidirect
32. #34929C2semidirect
33. #34225C2semidirect
34. D4×#117C2semidirect
35. #34084C2semidirect
36. C2×#542C22semidirect
38. C2×#533C22semidirect
42. #2864C22semidirect
44. #2857C22semidirect
45. #2857C22semidirect
46. #2855C22semidirect
47. #2855C22semidirect
49. #2850C22semidirect
54. #2844C22semidirect
55. #2836C22semidirect
56. #2832C22semidirect
58. #2800C22semidirect
59. #2788C22semidirect
60. #2788C22semidirect
61. #2784C22semidirect
62. #2780C22semidirect
63. #2779C22semidirect
64. #2777C22semidirect
65. #2774C22semidirect
66. #2773C22semidirect
68. #2770C22semidirect
69. #2770C22semidirect
71. #2761C22semidirect
72. #2761C22semidirect
73. #2758C22semidirect
76. #2750C22semidirect
79. #2739C22semidirect
80. #2738C22semidirect
84. #2729C22semidirect
86. #2716C22semidirect
87. #2715C22semidirect
90. #2665C22semidirect
91. #2663C22semidirect
92. #2654C22semidirect
93. #2650C22semidirect
94. #2649C22semidirect
95. #2647C22semidirect
97. #2637C22semidirect
99. #2632C22semidirect
100. #2629C22semidirect
101. #2629C22semidirect
107. #2628C22semidirect
108. #2628C22semidirect
110. #2625C22semidirect
112. #2624C22semidirect
114. #2621C22semidirect
117. #2611C22semidirect
119. #2604C22semidirect
120. #2601C22semidirect
122. #2599C22semidirect
124. #2587C22semidirect
125. #2583C22semidirect
127. #2572C22semidirect
128. #2571C22semidirect
129. #2571C22semidirect
130. #2571C22semidirect
131. #2571C22semidirect
132. #2567C22semidirect
135. #2565C22semidirect
138. #2563C22semidirect
141. #2558C22semidirect
142. #2556C22semidirect
143. #2556C22semidirect
144. #2551C22semidirect
145. #2551C22semidirect
146. #2551C22semidirect
147. #2551C22semidirect
148. #2547C22semidirect
149. #2546C22semidirect
150. #2545C22semidirect
151. #2545C22semidirect
161. #2533C22semidirect
162. #2533C22semidirect
163. #2529C22semidirect
165. #2525C22semidirect
166. #2521C22semidirect
167. #2516C22semidirect
168. #2515C22semidirect
171. #2509C22semidirect
172. #2509C22semidirect
173. #2507C22semidirect
174. #2506C22semidirect
175. #2497C22semidirect
176. #2497C22semidirect
177. #2496C22semidirect
178. #2496C22semidirect
179. #2495C22semidirect
180. #2495C22semidirect
181. #2495C22semidirect
182. #2495C22semidirect
183. #2492C22semidirect
184. #2492C22semidirect
185. #2492C22semidirect
188. #2491C22semidirect
192. #2484C22semidirect
194. #2481C22semidirect
197. #2474C22semidirect
199. #2470C22semidirect
200. #2469C22semidirect
201. #2465C22semidirect
205. #2452C22semidirect
206. #2449C22semidirect
207. #2429C22semidirect
208. #2429C22semidirect
209. #2427C22semidirect
210. #2426C22semidirect
211. #2421C22semidirect
212. #2421C22semidirect
213. #2421C22semidirect
216. #2420C22semidirect
220. #2398C22semidirect
221. #2396C22semidirect
222. #2370C22semidirect
223. #2370C22semidirect
226. #2356C22semidirect
231. #2351C22semidirect
244. #2334C22semidirect
245. #2334C22semidirect
246. #2331C22semidirect
247. #2330C22semidirect
248. #2330C22semidirect
249. #2326C22semidirect
250. #2326C22semidirect
260. #2323C22semidirect
261. #2323C22semidirect
262. #2320C22semidirect
265. #2314C22semidirect
266. #2314C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×C4⋊Q8C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
275. C4×#121C22semidirect
276. #2298C22semidirect
277. #2296C22semidirect
278. #2295C22semidirect
283. #2293C22semidirect
290. #2283C22semidirect
291. #2283C22semidirect
293. #2276C22semidirect
294. C42×Q8C22semidirect
297. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#417242
#416682
#410842
#409962
#396882
#395452
#392952
#390422
#382782
#382062
#379872
#379382
#376422
#376362
#376332
#376282
#374172
#373812
#373492
#372822
#356572
#355732
#353252
#352602
#352362
#351962
#351852
#351772
#351722
#351702
#349432
#349292
#342252
D4×#1172
#340842