Finite Group Databasebeta

← #7654369

Subgroups — #7654369

Order 512.

4918 conjugacy classes of subgroups.

The subgroup lattice has 1699 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42745C212yesmaximal, complemented
2#42741C212yesmaximal, complemented
3#41837C214yesmaximal, complemented
4#41226C214yesmaximal, complemented
5#40056C212yesmaximal, complemented
6#39498C211yesmaximal, characteristic, complemented
7#39114C214yesmaximal, complemented
8#39083C212yesmaximal, complemented
9#39042C212yesmaximal, complemented
10#39034C212yesmaximal, complemented
11#38957C211yesmaximal, characteristic, complemented
12#38923C211yesmaximal, characteristic, complemented
13#38910C211yesmaximal, characteristic
14#38774C214yesmaximal, complemented
15#38254C212yesmaximal, complemented
16#37945C212yesmaximal, complemented
17#37628C211yesmaximal, characteristic, complemented
18#37521C212yesmaximal, complemented
19#36590C211yesmaximal, characteristic, complemented
20#36589C212yesmaximal, complemented
21#36587C211yesmaximal, characteristic, complemented
22#36271C211yesmaximal, characteristic, complemented
23#36268C212yesmaximal, complemented
24#36186C211yesmaximal, characteristic, complemented
25#36033C212yesmaximal, complemented
26#35982C212yesmaximal, complemented
27#35288C211yesmaximal, characteristic, complemented
28#35266C212yesmaximal, complemented
29#35186C211yesmaximal, characteristic, complemented
30#35025C212yesmaximal, complemented
31#34974C211yesmaximal, characteristic, complemented
32#34797C212yesmaximal, complemented
33#34310C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34153C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2212yescomplemented
38C2×#552C2212yescomplemented
39C2×D42C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×#518C2212yes—
42#2861C2212yes—
43#2861C2212yescomplemented
44#2860C2212yescomplemented
45#2860C2214yescomplemented
46#2860C2212yescomplemented
47#2860C2214yescomplemented
48#2859C2211yescharacteristic, complemented
49#2858C2211yescharacteristic
50#2857C2211yescharacteristic, complemented
51#2856C2211yescharacteristic
52#2854C2212yes—
53#2850C2212yescomplemented
54#2838C2214yescomplemented
55#2836C2214yescomplemented
56#2836C2214yescomplemented
57#2807C2214yescomplemented
58#2796C2214yescomplemented
59#2788C2214yescomplemented
60#2786C2214yescomplemented
61#2781C2214yescomplemented
62#2781C2214yescomplemented
63#2780C2214yescomplemented
64#2778C2214yescomplemented
65#2770C2214yescomplemented
66#2765C2214yescomplemented
67#2749C2214yescomplemented
68#2741C2214yescomplemented
69#2738C2214yescomplemented
70#2737C2214yescomplemented
71#2735C2214yescomplemented
72#2735C2214yescomplemented
73#2735C2214yescomplemented
74#2722C2214yescomplemented
75#2695C2214yescomplemented
76#2685C2214yes—
77#2685C2214yes—
78#2685C2214yes—
79#2684C2214yescomplemented
80#2678C2214yes—
81#2654C2214yescomplemented
82#2653C2214yescomplemented
83#2651C2214yescomplemented
84#2651C2214yescomplemented
85#2649C2214yescomplemented
86#2648C2214yescomplemented
87#2647C2212yescomplemented
88#2644C2212yes—
89#2644C2214yescomplemented
90#2644C2212yescomplemented
91#2644C2214yescomplemented
92#2638C2214yescomplemented
93#2633C2214yescomplemented
94#2628C2212yescomplemented
95#2625C2212yescomplemented
96#2625C2212yescomplemented
97#2624C2212yes—
98#2624C2212yescomplemented
99#2621C2212yescomplemented
100#2620C2212yes—
101#2601C2214yescomplemented
102#2601C2214yescomplemented
103#2601C2214yescomplemented
104#2598C2214yescomplemented
105#2597C2214yescomplemented
106#2597C2214yescomplemented
107#2596C2214yescomplemented
108#2594C2214yescomplemented
109#2593C2214yescomplemented
110#2592C2212yescomplemented
111#2584C2212yescomplemented
112#2582C2211yescharacteristic, complemented
113#2580C2212yes—
114#2573C2214yescomplemented
115#2571C2211yescharacteristic, complemented
116#2562C2214yescomplemented
117#2561C2214yescomplemented
118#2560C2214yescomplemented
119#2556C2214yescomplemented
120#2554C2214yescomplemented
121#2552C2211yescharacteristic, complemented
122#2548C2211yescharacteristic
123#2548C2211yescharacteristic
124#2547C2212yes—
125#2546C2211yescharacteristic, complemented
126#2545C2212yescomplemented
127#2542C2211yescharacteristic
128#2540C2212yes—
129#2538C2211yescharacteristic
130#2532C2212yescomplemented
131#2531C2214yescomplemented
132#2529C2212yescomplemented
133#2529C2214yescomplemented
134#2525C2214yescomplemented
135#2525C2214yescomplemented
136#2519C2214yescomplemented
137#2519C2214yescomplemented
138#2518C2214yescomplemented
139#2516C2214yescomplemented
140#2514C2212yescomplemented
141#2513C2212yes—
142#2513C2212yes—
143#2513C2212yescomplemented
144#2513C2212yescomplemented
145#2513C2212yescomplemented
146#2512C2212yes—
147#2512C2211yescharacteristic
148#2512C2212yescomplemented
149#2512C2212yescomplemented
150#2509C2212yescomplemented
151#2508C2211yescharacteristic, complemented
152#2507C2212yescomplemented
153#2506C2212yescomplemented
154#2504C2212yescomplemented
155#2500C2212yes—
156#2498C2214yescomplemented
157#2495C2211yescharacteristic, complemented
158#2494C2212yescomplemented
159#2491C2211yescharacteristic
160#2490C2212yes—
161#2490C2212yescomplemented
162#2489C2212yescomplemented
163#2485C2212yescomplemented
164#2482C2214yescomplemented
165#2480C2214yescomplemented
166#2480C2214yescomplemented
167#2480C2214yescomplemented
168#2480C2214yescomplemented
169#2480C2214yescomplemented
170#2480C2214yescomplemented
171#2479C2212yescomplemented
172#2474C2212yescomplemented
173#2468C2214yescomplemented
174#2468C2214yescomplemented
175#2468C2214yescomplemented
176#2467C2214yescomplemented
177#2461C2214yescomplemented
178#2454C2212yes—
179#2454C2212yescomplemented
180#2454C2212yescomplemented
181#2453C2212yescomplemented
182#2452C2212yescomplemented
183#2451C2211yescharacteristic, complemented
184#2448C2211yescharacteristic
185#2448C2212yescomplemented
186#2448C2212yescomplemented
187#2447C2212yescomplemented
188#2447C2212yescomplemented
189#2447C2212yescomplemented
190#2444C2214yescomplemented
191#2442C2212yescomplemented
192#2441C2212yescomplemented
193#2435C2212yes—
194#2435C2212yes—
195#2435C2212yes—
196#2435C2212yes—
197#2429C2212yescomplemented
198#2429C2212yescomplemented
199#2427C2212yes—
200#2427C2212yescomplemented
201#2426C2212yes—
202#2426C2212yes—
203#2426C2211yescharacteristic
204#2426C2212yescomplemented
205#2423C2211yescharacteristic, complemented
206#2421C2212yescomplemented
207#2421C2212yescomplemented
208#2420C2212yescomplemented
209#2418C2214yescomplemented
210#2418C2214yescomplemented
211#2417C2212yescomplemented
212#2417C2212yescomplemented
213#2414C2212yes—
214#2408C2212yes—
215#2408C2212yes—
216#2396C2212yescomplemented
217#2395C2214yescomplemented
218#2395C2212yescomplemented
219#2392C2214yescomplemented
220#2373C2214yescomplemented
221#2373C2212yescomplemented
222#2373C2212yescomplemented
223#2370C2211yescharacteristic, complemented
224#2370C2211yescharacteristic, complemented
225#2367C2211yescharacteristic
226#2367C2211yescharacteristic
227#2367C2212yes—
228#2367C2212yescomplemented
229#2366C2211yescharacteristic
230#2365C2211yescharacteristic, complemented
231#2363C2212yes—
232#2362C2212yescomplemented
233#2362C2212yescomplemented
234#2362C2212yescomplemented
235#2361C2212yes—
236#2361C2211yescharacteristic
237#2361C2211yescharacteristic
238#2361C2212yescomplemented
239#2360C2211yescharacteristic, complemented
240#2360C2211yescharacteristic, complemented
241#2359C2212yescomplemented
242#2359C2212yescomplemented
243#2358C2214yes—
244#2357C2212yescomplemented
245#2356C2212yescomplemented
246#2355C2211yescharacteristic, complemented
247#2354C2211yescharacteristic
248#2354C2211yescharacteristic
249D4×C4⋊C4C2211yescharacteristic
250#2347C2212yescomplemented
251#2347C2212yescomplemented
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yes—
254#2326C2212yescomplemented
255#2324C2212yes—
256#2324C2212yescomplemented
257#2321C2214yes—
258#2321C2214yescomplemented
259#2319C2212yescomplemented
260#2319C2212yescomplemented
261#2317C2212yescomplemented
262#2316C2212yescomplemented
263#2312C2214yescomplemented
264#2309C2212yes—
265#2309C2212yes—
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×#127C2211yescharacteristic
269C4×#125C2212yescomplemented
270C4×#126C2214yescomplemented
271C4×#126C2212yescomplemented
272C4×#126C2214yescomplemented
273C4×#124C2211yescharacteristic
274C4×#124C2212yes—
275C4×#124C2212yescomplemented
276C4×C22⋊Q8C2211yescharacteristic, complemented
277C4×C22⋊Q8C2212yescomplemented
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2212yescomplemented
281#2298C2212yescomplemented
282#2296C2212yescomplemented
283#2295C2211yescharacteristic, complemented
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2212yescomplemented
287#2293C2214yescomplemented
288C2×#390C2212yes—
289#2290C2212yescomplemented
290#2285C2212yescomplemented
291C42×Q8C2211yescharacteristic, complemented
292C42×Q8C2211yescharacteristic, complemented
293C42×Q8C2212yescomplemented
294C42×D4C2211yescharacteristic
295C42×D4C2212yescomplemented
296C4×#117C2211yescharacteristic, complemented
297C4×#117C2212yescomplemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C23×D4C2312yes—
300C23×D4C2312yes—
301#556—28no—
302#556—48no—
303#552—48no—
304D42—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×#127C2311yescharacteristic
309#529—28no—
310C2×#126C2314yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348#518—48no—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2311yescharacteristic
383C2×#117C2314yes—
384C2×#117C2314yes—
385C2×#117C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2311yescharacteristic
389C22×C22⋊C4C2314yes—
390C22×C22⋊C4C2314yes—
391C22×C22⋊C4C2314yes—
392C22×C42C2311yescharacteristic
393C22×C42C2312yes—
394C22×C42C2312yes—
395#401C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2312yes—
412#399C2314yes—
413#399C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
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#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#395C2312yes—
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#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#393C2314yes—
487#393C2312yes—
488#393C2314yes—
489#392C2314yes—
490#392C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2314yes—
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2314yes—
580#389C2311yescharacteristic
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2314yes—
699#385C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2312yes—
705#383C2312yes—
706#383C2314yes—
707#383C2314yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2312yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2314yes—
732#380C2311yescharacteristic
733#379C2314yes—
734#379C2314yes—
735#379C2314yes—
736#379C2314yes—
737#379C2314yes—
738#379C2314yes—
739#379C2314yes—
740#379C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2314yes—
809#376C2311yescharacteristic
810C2×#95C2312yes—
811C43C2314yes—
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2414yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×D4—28no—
822C22×D4—28no—
823C22×D4—44no—
824C22×D4—44no—
825C22×D4—44no—
826C22×D4—44no—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C4⋊Q8—24no—
850C4⋊Q8—42no—
851C4⋊Q8—44no—
852#127—24no—
853#126—28no—
854#126—216no—
855#126—44no—
856#126—48no—
857#126—48no—
858#126—48no—
859#126—48no—
860#125—24no—
861#125—44no—
862#125—48no—
863#125—44no—
864#124—24no—
865#124—28no—
866#124—44no—
867#124—44no—
868#124—42no—
869#124—44no—
870#124—44no—
871#124—44no—
872#123—28no—
873#123—48no—
874C22⋊Q8—28no—
875C22⋊Q8—24no—
876C22⋊Q8—48no—
877C22⋊Q8—42no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882#121—24no—
883#121—28no—
884#121—28no—
885#121—44no—
886#121—44no—
887#121—42no—
888#121—44no—
889#120—216no—
890#120—48no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—24no—
894C4×Q8—24no—
895C4×Q8—24no—
896C4×Q8—44no—
897C4×Q8—42no—
898C4×Q8—42no—
899C4×Q8—44no—
900C4×Q8—42no—
901C4×D4—28no—
902C4×D4—24no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—44no—
906C4×D4—48no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—42no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—48no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—48no—
917C4×D4#4118yes—
918#117—28no—
919#117—28no—
920#117—28no—
921#117—44no—
922#117—44no—
923#117—48no—
924#117—48no—
925#117—42no—
926#117—42no—
927#117—44no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—42no—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C22⋊C4—48no—
998C2×C22⋊C4—48no—
999C2×C22⋊C4—48no—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C42—24no—
1065C2×C42—44no—
1066C2×C42—44no—
1067C2×C42C2411yescharacteristic
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2414yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2414yes—
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2414yes—
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2414yes—
1122#95C2411yescharacteristic
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#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173C24—28no—
1174C24—44no—
1175C24—44no—
1176C24—44no—
1177C24—44no—
1178C24—44no—
1179C24—44no—
1180C24C2512yes—
1181C24C2514yes—
1182C24C2512yes—
1183C24C2511yescharacteristic
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×D4—24no—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—28no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—28no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—432no—
1226C2×D4—816no—
1227C2×D4C2×#4114yes—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—28no—
1245C22×C4—24no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4C2×#4118yes—
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2512yes—
1284C22×C4C2514yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4C2×#4114yes—
1360C4⋊C4H(5,𝔽2)14yes—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—22no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—41no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4C2×#4118yes—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—24no—
1429C42—28no—
1430C42—24no—
1431C42—28no—
1432C42—22no—
1433C42—28no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—22no—
1438C42—24no—
1439C42—22no—
1440C42—24no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—24no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—41no—
1453C42—41no—
1454C42—41no—
1455C42—44no—
1456C42—44no—
1457C42—42no—
1458C42—42no—
1459C42—42no—
1460C42—44no—
1461C42—42no—
1462C42—42no—
1463C42—42no—
1464C42C2×#4114yes—
1465C23—21no—
1466C23—22no—
1467C23—21no—
1468C23—21no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—21no—
1473C23—22no—
1474C23—22no—
1475C23—21no—
1476C23—21no—
1477C23—22no—
1478C23—24no—
1479C23—22no—
1480C23—24no—
1481C23—22no—
1482C23—24no—
1483C23—22no—
1484C23—22no—
1485C23—24no—
1486C23—24no—
1487C23—24no—
1488C23—24no—
1489C23—22no—
1490C23—22no—
1491C23—416no—
1492C23—88no—
1493C23—88no—
1494C23—164no—
1495C23—164no—
1496C23—164no—
1497C23—164no—
1498C23C22×#4114yes—
1499C23#58512yes—
1500C23C2611yescharacteristic
1501Q8—44no—
1502Q8—48no—
1503Q8—44no—
1504Q8—84no—
1505D4—28no—
1506D4—48no—
1507D4—416no—
1508D4—48no—
1509D4—48no—
1510D4—44no—
1511D4—84no—
1512D4—88no—
1513D4—84no—
1514D4—88no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—216no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—48no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—48no—
1603C2×C4—44no—
1604C2×C4—84no—
1605C2×C4—88no—
1606C2×C4—84no—
1607C2×C4—84no—
1608C2×C4—164no—
1609C2×C4—164no—
1610C2×C4C22×#4114yes—
1611C2×C4C22×#4112yes—
1612C2×C4C22×#4112yes—
1613C2×C4C22×#4112yes—
1614C2×C4C2×H(5,𝔽2)14yes—
1615C2×C4C2×H(5,𝔽2)12yes—
1616C2×C4#58512yes—
1617C2×C4#58512yes—
1618C2×C4#58512yes—
1619C2×C4#58512yes—
1620C22—22no—
1621C22—22no—
1622C22—24no—
1623C22—22no—
1624C22—24no—
1625C22—24no—
1626C22—42no—
1627C22—41no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—44no—
1635C22—42no—
1636C22—44no—
1637C22—42no—
1638C22—44no—
1639C22—42no—
1640C22—44no—
1641C22—42no—
1642C22—42no—
1643C22—44no—
1644C22—44no—
1645C22—42no—
1646C22—42no—
1647C22—44no—
1648C22—1616no—
1649C22C23×#4111yescharacteristic
1650C22C22×H(5,𝔽2)11yescharacteristic
1651C22C2×#58511yescharacteristic
1652C22C2×#58511yescharacteristic
1653C22C2×#58511yescharacteristic
1654C22C2×#58511yescharacteristic
1655C22C2×#58511yescharacteristic
1656C4—24no—
1657C4—22no—
1658C4—24no—
1659C4—22no—
1660C4—42no—
1661C4—41no—
1662C4—42no—
1663C4—42no—
1664C4—41no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—41no—
1669C4—41no—
1670C4—44no—
1671C4—42no—
1672C4—41no—
1673C4—42no—
1674C4—44no—
1675C4—41no—
1676C4—41no—
1677C4—42no—
1678C4—42no—
1679C4—41no—
1680C4—42no—
1681C4—41no—
1682C4—42no—
1683C4—42no—
1684C4—44no—
1685C4#346014yes—
1686C4#352114yes—
1687C2—42no—
1688C2—44no—
1689C2—84no—
1690C2—82no—
1691C2C2×#346011yescharacteristic
1692C2C2×#352111yescharacteristic
1693C2#6281011yescharacteristic
1694C2#6301811yescharacteristic
1695C2#6302911yescharacteristic
1696C2#6303011yescharacteristic
1697C2#6303511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#38910C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42745C2semidirect
2. #42741C2semidirect
3. #41837C2semidirect
4. #41226C2semidirect
5. #40056C2semidirect
6. #39498C2semidirect
7. #39114C2semidirect
8. #39083C2semidirect
9. #39042C2semidirect
10. #39034C2semidirect
11. #38957C2semidirect
12. #38923C2semidirect
14. #38774C2semidirect
15. #38254C2semidirect
16. #37945C2semidirect
17. #37628C2semidirect
18. #37521C2semidirect
19. #36590C2semidirect
20. #36589C2semidirect
21. #36587C2semidirect
22. #36271C2semidirect
23. #36268C2semidirect
24. #36186C2semidirect
25. #36033C2semidirect
26. #35982C2semidirect
27. #35288C2semidirect
28. #35266C2semidirect
29. #35186C2semidirect
30. #35025C2semidirect
31. #34974C2semidirect
32. #34797C2semidirect
33. #34310C2semidirect
34. C4×#556C2semidirect
35. #34153C2semidirect
37. C2×#556C22semidirect
38. C2×#552C22semidirect
43. #2861C22semidirect
44. #2860C22semidirect
45. #2860C22semidirect
46. #2860C22semidirect
47. #2860C22semidirect
48. #2859C22semidirect
50. #2857C22semidirect
53. #2850C22semidirect
54. #2838C22semidirect
55. #2836C22semidirect
56. #2836C22semidirect
57. #2807C22semidirect
58. #2796C22semidirect
59. #2788C22semidirect
60. #2786C22semidirect
61. #2781C22semidirect
62. #2781C22semidirect
63. #2780C22semidirect
64. #2778C22semidirect
65. #2770C22semidirect
66. #2765C22semidirect
67. #2749C22semidirect
68. #2741C22semidirect
69. #2738C22semidirect
70. #2737C22semidirect
71. #2735C22semidirect
72. #2735C22semidirect
73. #2735C22semidirect
74. #2722C22semidirect
75. #2695C22semidirect
79. #2684C22semidirect
81. #2654C22semidirect
82. #2653C22semidirect
83. #2651C22semidirect
84. #2651C22semidirect
85. #2649C22semidirect
86. #2648C22semidirect
87. #2647C22semidirect
89. #2644C22semidirect
90. #2644C22semidirect
91. #2644C22semidirect
92. #2638C22semidirect
93. #2633C22semidirect
94. #2628C22semidirect
95. #2625C22semidirect
96. #2625C22semidirect
98. #2624C22semidirect
99. #2621C22semidirect
101. #2601C22semidirect
102. #2601C22semidirect
103. #2601C22semidirect
104. #2598C22semidirect
105. #2597C22semidirect
106. #2597C22semidirect
107. #2596C22semidirect
108. #2594C22semidirect
109. #2593C22semidirect
110. #2592C22semidirect
111. #2584C22semidirect
112. #2582C22semidirect
114. #2573C22semidirect
115. #2571C22semidirect
116. #2562C22semidirect
117. #2561C22semidirect
118. #2560C22semidirect
119. #2556C22semidirect
120. #2554C22semidirect
121. #2552C22semidirect
125. #2546C22semidirect
126. #2545C22semidirect
130. #2532C22semidirect
131. #2531C22semidirect
132. #2529C22semidirect
133. #2529C22semidirect
134. #2525C22semidirect
135. #2525C22semidirect
136. #2519C22semidirect
137. #2519C22semidirect
138. #2518C22semidirect
139. #2516C22semidirect
140. #2514C22semidirect
143. #2513C22semidirect
144. #2513C22semidirect
145. #2513C22semidirect
148. #2512C22semidirect
149. #2512C22semidirect
150. #2509C22semidirect
151. #2508C22semidirect
152. #2507C22semidirect
153. #2506C22semidirect
154. #2504C22semidirect
156. #2498C22semidirect
157. #2495C22semidirect
158. #2494C22semidirect
161. #2490C22semidirect
162. #2489C22semidirect
163. #2485C22semidirect
164. #2482C22semidirect
165. #2480C22semidirect
166. #2480C22semidirect
167. #2480C22semidirect
168. #2480C22semidirect
169. #2480C22semidirect
170. #2480C22semidirect
171. #2479C22semidirect
172. #2474C22semidirect
173. #2468C22semidirect
174. #2468C22semidirect
175. #2468C22semidirect
176. #2467C22semidirect
177. #2461C22semidirect
179. #2454C22semidirect
180. #2454C22semidirect
181. #2453C22semidirect
182. #2452C22semidirect
183. #2451C22semidirect
185. #2448C22semidirect
186. #2448C22semidirect
187. #2447C22semidirect
188. #2447C22semidirect
189. #2447C22semidirect
190. #2444C22semidirect
191. #2442C22semidirect
192. #2441C22semidirect
197. #2429C22semidirect
198. #2429C22semidirect
200. #2427C22semidirect
204. #2426C22semidirect
205. #2423C22semidirect
206. #2421C22semidirect
207. #2421C22semidirect
208. #2420C22semidirect
209. #2418C22semidirect
210. #2418C22semidirect
211. #2417C22semidirect
212. #2417C22semidirect
216. #2396C22semidirect
217. #2395C22semidirect
218. #2395C22semidirect
219. #2392C22semidirect
220. #2373C22semidirect
221. #2373C22semidirect
222. #2373C22semidirect
223. #2370C22semidirect
224. #2370C22semidirect
228. #2367C22semidirect
230. #2365C22semidirect
232. #2362C22semidirect
233. #2362C22semidirect
234. #2362C22semidirect
238. #2361C22semidirect
239. #2360C22semidirect
240. #2360C22semidirect
241. #2359C22semidirect
242. #2359C22semidirect
244. #2357C22semidirect
245. #2356C22semidirect
246. #2355C22semidirect
250. #2347C22semidirect
251. #2347C22semidirect
254. #2326C22semidirect
256. #2324C22semidirect
258. #2321C22semidirect
259. #2319C22semidirect
260. #2319C22semidirect
261. #2317C22semidirect
262. #2316C22semidirect
263. #2312C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×C4⋊Q8C22semidirect
269. C4×#125C22semidirect
270. C4×#126C22semidirect
271. C4×#126C22semidirect
272. C4×#126C22semidirect
275. C4×#124C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
280. C4×#121C22semidirect
281. #2298C22semidirect
282. #2296C22semidirect
283. #2295C22semidirect
286. #2293C22semidirect
287. #2293C22semidirect
289. #2290C22semidirect
290. #2285C22semidirect
291. C42×Q8C22semidirect
292. C42×Q8C22semidirect
293. C42×Q8C22semidirect
295. C42×D4C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#427452
#427412
#418372
#412262
#400562
#394982
#391142
#390832
#390422
#390342
#389572
#389232
#389102
#387742
#382542
#379452
#376282
#375212
#365902
#365892
#365872
#362712
#362682
#361862
#360332
#359822
#352882
#352662
#351862
#350252
#349742
#347972
#343102
C4×#5562
#341532