Finite Group Databasebeta

← #7647102

Subgroups — #7647102

Order 512.

4829 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42784C212yesmaximal, complemented
2#42781C212yesmaximal, complemented
3#42634C212yesmaximal, complemented
4#42563C212yesmaximal, complemented
5#41353C214yesmaximal, complemented
6#41216C214yesmaximal, complemented
7#39761C211yesmaximal, characteristic, complemented
8#39736C211yesmaximal, characteristic, complemented
9#39555C212yesmaximal, complemented
10#39497C211yesmaximal, characteristic, complemented
11#39481C211yesmaximal, characteristic, complemented
12#39070C212yesmaximal, complemented
13#38987C211yesmaximal, characteristic, complemented
14#38957C211yesmaximal, characteristic, complemented
15#38923C211yesmaximal, characteristic, complemented
16#38910C211yesmaximal, characteristic
17#38262C212yesmaximal, complemented
18#38202C212yesmaximal, complemented
19#37524C212yesmaximal, complemented
20#37492C212yesmaximal, complemented
21#37109C214yesmaximal, complemented
22#37105C214yesmaximal, complemented
23#35624C212yesmaximal, complemented
24#35611C212yesmaximal, complemented
25#35277C211yesmaximal, characteristic, complemented
26#35266C212yesmaximal, complemented
27#35220C212yesmaximal, complemented
28#35216C212yesmaximal, complemented
29#35209C211yesmaximal, characteristic, complemented
30#35164C212yesmaximal, complemented
31#34954C211yesmaximal, characteristic, complemented
32#34915C211yesmaximal, characteristic, complemented
33#34310C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×D42C2211yescharacteristic
38C2×#542C2212yescomplemented
39C2×#541C2212yescomplemented
40C2×#529C2211yescharacteristic
41C2×#518C2212yes—
42#2868C2211yescharacteristic, complemented
43#2866C2214yescomplemented
44#2861C2214yescomplemented
45#2860C2212yes—
46#2860C2214yescomplemented
47#2860C2214yescomplemented
48#2859C2212yescomplemented
49#2858C2211yescharacteristic
50#2857C2211yescharacteristic, complemented
51#2856C2211yescharacteristic
52#2830C2214yescomplemented
53#2829C2214yescomplemented
54#2827C2214yescomplemented
55#2827C2214yescomplemented
56#2800C2214yescomplemented
57#2793C2214yescomplemented
58#2790C2214yescomplemented
59#2786C2214yescomplemented
60#2781C2214yescomplemented
61#2779C2214yescomplemented
62#2777C2214yescomplemented
63#2775C2214yescomplemented
64#2773C2214yescomplemented
65#2772C2214yescomplemented
66#2761C2214yescomplemented
67#2757C2214yescomplemented
68#2756C2214yescomplemented
69#2753C2214yescomplemented
70#2751C2214yescomplemented
71#2741C2214yescomplemented
72#2740C2214yescomplemented
73#2740C2214yescomplemented
74#2736C2214yescomplemented
75#2735C2214yescomplemented
76#2735C2214yescomplemented
77#2729C2214yescomplemented
78#2722C2214yescomplemented
79#2716C2214yescomplemented
80#2702C2214yescomplemented
81#2695C2214yescomplemented
82#2691C2214yescomplemented
83#2685C2214yes—
84#2685C2214yes—
85#2685C2214yes—
86#2685C2214yescomplemented
87#2678C2214yes—
88#2667C2214yescomplemented
89#2664C2214yescomplemented
90#2664C2214yescomplemented
91#2662C2214yescomplemented
92#2654C2214yescomplemented
93#2653C2214yescomplemented
94#2652C2214yescomplemented
95#2651C2214yescomplemented
96#2648C2214yescomplemented
97#2644C2214yescomplemented
98#2644C2214yescomplemented
99#2644C2212yescomplemented
100#2640C2212yes—
101#2640C2212yescomplemented
102#2629C2212yescomplemented
103#2626C2214yescomplemented
104#2625C2212yescomplemented
105#2624C2212yes—
106#2624C2212yes—
107#2622C2214yescomplemented
108#2620C2212yes—
109#2620C2212yescomplemented
110#2620C2212yescomplemented
111#2602C2214yescomplemented
112#2597C2212yescomplemented
113#2596C2212yescomplemented
114#2595C2212yescomplemented
115#2595C2214yescomplemented
116#2594C2212yescomplemented
117#2593C2214yescomplemented
118#2587C2214yescomplemented
119#2582C2211yescharacteristic, complemented
120#2571C2211yescharacteristic, complemented
121#2566C2212yes—
122#2566C2212yescomplemented
123#2561C2214yescomplemented
124#2560C2214yescomplemented
125#2558C2214yescomplemented
126#2556C2214yescomplemented
127#2554C2214yescomplemented
128#2552C2211yescharacteristic, complemented
129#2550C2212yescomplemented
130#2548C2211yescharacteristic
131#2548C2211yescharacteristic
132#2547C2212yes—
133#2547C2212yescomplemented
134#2546C2211yescharacteristic, complemented
135#2545C2212yescomplemented
136#2542C2211yescharacteristic
137#2540C2212yes—
138#2538C2211yescharacteristic
139#2536C2212yescomplemented
140#2531C2214yescomplemented
141#2527C2214yescomplemented
142#2519C2214yescomplemented
143#2513C2212yes—
144#2513C2211yescharacteristic
145#2513C2212yescomplemented
146#2513C2212yescomplemented
147#2513C2212yescomplemented
148#2512C2212yes—
149#2512C2212yes—
150#2512C2212yescomplemented
151#2512C2212yescomplemented
152#2512C2212yescomplemented
153#2512C2212yescomplemented
154#2511C2212yescomplemented
155#2509C2211yescharacteristic, complemented
156#2507C2212yescomplemented
157#2507C2212yescomplemented
158#2506C2212yescomplemented
159#2500C2212yes—
160#2499C2212yescomplemented
161#2499C2212yescomplemented
162#2496C2212yescomplemented
163#2494C2211yescharacteristic, complemented
164#2492C2212yescomplemented
165#2491C2212yescomplemented
166#2491C2212yescomplemented
167#2490C2212yes—
168#2490C2211yescharacteristic
169#2490C2212yescomplemented
170#2489C2212yescomplemented
171#2485C2212yescomplemented
172#2480C2214yescomplemented
173#2480C2214yescomplemented
174#2480C2214yescomplemented
175#2480C2214yescomplemented
176#2480C2214yescomplemented
177#2480C2214yescomplemented
178#2480C2214yescomplemented
179#2479C2214yescomplemented
180#2478C2214yescomplemented
181#2472C2214yescomplemented
182#2466C2214yescomplemented
183#2460C2214yescomplemented
184#2460C2214yescomplemented
185#2460C2214yescomplemented
186#2460C2214yescomplemented
187#2459C2214yescomplemented
188#2454C2212yescomplemented
189#2453C2212yescomplemented
190#2453C2211yescharacteristic, complemented
191#2452C2212yes—
192#2452C2212yescomplemented
193#2452C2212yescomplemented
194#2448C2211yescharacteristic
195#2448C2212yescomplemented
196#2448C2212yescomplemented
197#2448C2212yescomplemented
198#2447C2212yescomplemented
199#2447C2212yescomplemented
200#2440C2212yescomplemented
201#2439C2212yescomplemented
202#2439C2212yescomplemented
203#2435C2212yes—
204#2435C2212yes—
205#2435C2212yes—
206#2435C2212yes—
207#2429C2212yescomplemented
208#2429C2212yescomplemented
209#2427C2212yes—
210#2426C2212yes—
211#2426C2212yes—
212#2426C2211yescharacteristic
213#2423C2212yescomplemented
214#2422C2212yescomplemented
215#2422C2212yescomplemented
216#2421C2211yescharacteristic, complemented
217#2420C2212yescomplemented
218#2417C2212yescomplemented
219#2415C2212yescomplemented
220#2415C2214yescomplemented
221#2414C2212yes—
222#2411C2214yescomplemented
223#2408C2212yes—
224#2408C2212yes—
225#2401C2212yescomplemented
226#2395C2214yescomplemented
227#2395C2212yescomplemented
228#2373C2214yescomplemented
229#2367C2212yes—
230#2366C2211yescharacteristic
231#2365C2211yescharacteristic, complemented
232#2363C2212yes—
233#2362C2212yescomplemented
234#2361C2212yes—
235#2358C2214yes—
236#2356C2212yescomplemented
237#2355C2211yescharacteristic, complemented
238#2354C2211yescharacteristic
239#2354C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241#2347C2212yescomplemented
242D4×C22⋊C4C2212yes—
243D4×C22⋊C4C2212yes—
244#2335C2212yescomplemented
245#2335C2212yescomplemented
246#2334C2212yescomplemented
247#2334C2212yescomplemented
248#2331C2212yescomplemented
249#2330C2211yescharacteristic, complemented
250#2330C2211yescharacteristic, complemented
251#2326C2211yescharacteristic
252#2326C2211yescharacteristic
253#2326C2212yescomplemented
254#2324C2212yes—
255#2324C2211yescharacteristic
256#2324C2211yescharacteristic
257#2324C2212yescomplemented
258#2323C2212yescomplemented
259#2323C2211yescharacteristic, complemented
260#2323C2211yescharacteristic, complemented
261#2321C2214yes—
262#2319C2212yescomplemented
263#2317C2212yescomplemented
264#2316C2212yescomplemented
265#2314C2212yescomplemented
266#2309C2212yes—
267#2309C2212yes—
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×#127C2211yescharacteristic
270C4×#125C2211yescharacteristic, complemented
271C4×#126C2214yescomplemented
272C4×#124C2212yes—
273C4×#124C2211yescharacteristic
274C4×#124C2212yescomplemented
275C4×#124C2212yescomplemented
276C4×C22⋊Q8C2211yescharacteristic, complemented
277C4×C22⋊Q8C2212yescomplemented
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280#2298C2212yescomplemented
281#2298C2212yescomplemented
282#2296C2212yescomplemented
283#2295C2211yescharacteristic, complemented
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2212yescomplemented
287#2293C2212yescomplemented
288#2293C2212yescomplemented
289#2293C2212yescomplemented
290C2×#390C2212yes—
291#2290C2212yescomplemented
292#2285C2211yescharacteristic, complemented
293C42×Q8C2211yescharacteristic, complemented
294C42×Q8C2211yescharacteristic, complemented
295C42×Q8C2212yescomplemented
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic, complemented
298C4×#117C2212yescomplemented
299C23×D4C2312yes—
300C23×D4C2312yes—
301#556—28no—
302D42—28no—
303#542—48no—
304#541—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311#529—28no—
312C2×#126C2314yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352#518—48no—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2314yes—
386C22×C4⋊C4C2312yes—
387C22×C22⋊C4C2314yes—
388C22×C22⋊C4C2314yes—
389C22×C22⋊C4C2314yes—
390C22×C42C2311yescharacteristic
391C22×C42C2312yes—
392#401C2312yes—
393#400C2314yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#399C2314yes—
403#399C2314yes—
404#399C2312yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2312yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#395C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#392C2314yes—
495#392C2314yes—
496#391C2314yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2314yes—
505#391C2314yes—
506#391C2312yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#390C2314yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2312yes—
531#390C2314yes—
532#390C2311yescharacteristic
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2314yes—
587#389C2311yescharacteristic
588#389C2314yes—
589#389C2311yescharacteristic
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#386C2312yes—
688#386C2314yes—
689#386C2312yes—
690#386C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2314yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2312yes—
715#384C2312yes—
716#384C2311yescharacteristic
717#384C2312yes—
718#383C2314yes—
719#382C2311yescharacteristic
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2311yescharacteristic
724#382C2312yes—
725#382C2314yes—
726#381C2314yes—
727#381C2314yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#379C2314yes—
745#379C2314yes—
746#379C2314yes—
747#379C2314yes—
748#379C2314yes—
749#379C2314yes—
750#379C2314yes—
751#379C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2311yescharacteristic
809#376C2311yescharacteristic
810#376C2314yes—
811C43C2314yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2312yes—
816C25C2414yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2414yes—
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×D4C2411yescharacteristic
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2414yes—
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2414yes—
847C4⋊Q8—24no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851C4⋊Q8—82no—
852#127—24no—
853#126—28no—
854#126—216no—
855#126—48no—
856#126—48no—
857#126—48no—
858#126—84no—
859#126—84no—
860#125—24no—
861#125—42no—
862#125—44no—
863#125—48no—
864#125—48no—
865#124—24no—
866#124—28no—
867#124—48no—
868#124—44no—
869#124—44no—
870#124—44no—
871#124—42no—
872#124—44no—
873#123—28no—
874#123—48no—
875C22⋊Q8—28no—
876C22⋊Q8—24no—
877C22⋊Q8—48no—
878C22⋊Q8—42no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—84no—
884#121—24no—
885#121—28no—
886#121—28no—
887#121—44no—
888#121—42no—
889#121—44no—
890#121—82no—
891#120—216no—
892#120—84no—
893C4×Q8—28no—
894C4×Q8—24no—
895C4×Q8—24no—
896C4×Q8—24no—
897C4×Q8—28no—
898C4×Q8—42no—
899C4×Q8—42no—
900C4×Q8—42no—
901C4×Q8—44no—
902C4×D4—28no—
903C4×D4—24no—
904C4×D4—24no—
905C4×D4—28no—
906C4×D4—44no—
907C4×D4—42no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—48no—
913C4×D4—48no—
914C4×D4—82no—
915C4×D4#4118yes—
916#117—28no—
917#117—28no—
918#117—28no—
919#117—24no—
920#117—44no—
921#117—44no—
922#117—42no—
923#117—44no—
924#117—44no—
925#117—84no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C22⋊C4—48no—
996C2×C22⋊C4—48no—
997C2×C22⋊C4—84no—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C42—24no—
1065C2×C42—44no—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2414yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170C24—28no—
1171C24—44no—
1172C24—44no—
1173C24—44no—
1174C24—44no—
1175C24—44no—
1176C24—44no—
1177C24C2512yes—
1178C24C2514yes—
1179C24C2511yescharacteristic
1180C24C2512yes—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×D4—28no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—28no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—432no—
1223C2×D4—816no—
1224C2×D4C2×#4114yes—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—28no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—42no—
1245C22×C4—41no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4C2×#4118yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2514yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—41no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—41no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4C2×#4114yes—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—41no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—41no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4C2×#4118yes—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—28no—
1425C42—24no—
1426C42—24no—
1427C42—22no—
1428C42—28no—
1429C42—24no—
1430C42—22no—
1431C42—24no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—24no—
1438C42—22no—
1439C42—42no—
1440C42—42no—
1441C42—41no—
1442C42—42no—
1443C42—41no—
1444C42—42no—
1445C42—44no—
1446C42—44no—
1447C42—42no—
1448C42—42no—
1449C42—41no—
1450C42—42no—
1451C42—42no—
1452C42—44no—
1453C42—42no—
1454C42—44no—
1455C42—41no—
1456C42C2×#4114yes—
1457C42H(5,𝔽2)14yes—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—22no—
1466C23—24no—
1467C23—22no—
1468C23—21no—
1469C23—24no—
1470C23—21no—
1471C23—21no—
1472C23—24no—
1473C23—22no—
1474C23—24no—
1475C23—21no—
1476C23—24no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—24no—
1481C23—21no—
1482C23—22no—
1483C23—21no—
1484C23—24no—
1485C23—416no—
1486C23—88no—
1487C23—88no—
1488C23—164no—
1489C23—164no—
1490C23—164no—
1491C23—164no—
1492C23C22×#4114yes—
1493C23C2611yescharacteristic
1494Q8—44no—
1495Q8—48no—
1496Q8—44no—
1497Q8—164no—
1498D4—28no—
1499D4—416no—
1500D4—48no—
1501D4—48no—
1502D4—44no—
1503D4—84no—
1504D4—88no—
1505D4—84no—
1506D4—84no—
1507D4—164no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—216no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—44no—
1593C2×C4—48no—
1594C2×C4—44no—
1595C2×C4—82no—
1596C2×C4—84no—
1597C2×C4—88no—
1598C2×C4—84no—
1599C2×C4—164no—
1600C2×C4—164no—
1601C2×C4C22×#4114yes—
1602C2×C4C22×#4112yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×H(5,𝔽2)12yes—
1607C2×C4C2×H(5,𝔽2)12yes—
1608C2×C4#58512yes—
1609C2×C4#58512yes—
1610C2×C4#58512yes—
1611C22—24no—
1612C22—24no—
1613C22—24no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—41no—
1619C22—42no—
1620C22—44no—
1621C22—41no—
1622C22—44no—
1623C22—42no—
1624C22—44no—
1625C22—41no—
1626C22—42no—
1627C22—41no—
1628C22—42no—
1629C22—44no—
1630C22—41no—
1631C22—42no—
1632C22—44no—
1633C22—44no—
1634C22—41no—
1635C22—42no—
1636C22—41no—
1637C22—44no—
1638C22—42no—
1639C22—1616no—
1640C22C23×#4111yescharacteristic
1641C22C22×H(5,𝔽2)11yescharacteristic
1642C22C2×#58511yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22H(7,𝔽2)11yescharacteristic
1646C222−1+611yescharacteristic
1647C4—24no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—41no—
1652C4—42no—
1653C4—42no—
1654C4—41no—
1655C4—42no—
1656C4—41no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—41no—
1661C4—42no—
1662C4—42no—
1663C4—44no—
1664C4—41no—
1665C4—42no—
1666C4—42no—
1667C4—41no—
1668C4—42no—
1669C4—44no—
1670C4—42no—
1671C4—44no—
1672C4—41no—
1673C4—42no—
1674C4—41no—
1675C4—41no—
1676C4#346014yes—
1677C4#352114yes—
1678C2—44no—
1679C2—81no—
1680C2—84no—
1681C2—82no—
1682C2C2×#346011yescharacteristic
1683C2C2×#352111yescharacteristic
1684C2#6285711yescharacteristic
1685C2#6293111yescharacteristic
1686C2#6293711yescharacteristic
1687C2#6296111yescharacteristic
1688C2#6296811yescharacteristic
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. #42784C2semidirect
2. #42781C2semidirect
3. #42634C2semidirect
4. #42563C2semidirect
5. #41353C2semidirect
6. #41216C2semidirect
7. #39761C2semidirect
8. #39736C2semidirect
9. #39555C2semidirect
10. #39497C2semidirect
11. #39481C2semidirect
12. #39070C2semidirect
13. #38987C2semidirect
14. #38957C2semidirect
15. #38923C2semidirect
17. #38262C2semidirect
18. #38202C2semidirect
19. #37524C2semidirect
20. #37492C2semidirect
21. #37109C2semidirect
22. #37105C2semidirect
23. #35624C2semidirect
24. #35611C2semidirect
25. #35277C2semidirect
26. #35266C2semidirect
27. #35220C2semidirect
28. #35216C2semidirect
29. #35209C2semidirect
30. #35164C2semidirect
31. #34954C2semidirect
32. #34915C2semidirect
33. #34310C2semidirect
34. C4×#556C2semidirect
35. #34084C2semidirect
38. C2×#542C22semidirect
39. C2×#541C22semidirect
42. #2868C22semidirect
43. #2866C22semidirect
44. #2861C22semidirect
46. #2860C22semidirect
47. #2860C22semidirect
48. #2859C22semidirect
50. #2857C22semidirect
52. #2830C22semidirect
53. #2829C22semidirect
54. #2827C22semidirect
55. #2827C22semidirect
56. #2800C22semidirect
57. #2793C22semidirect
58. #2790C22semidirect
59. #2786C22semidirect
60. #2781C22semidirect
61. #2779C22semidirect
62. #2777C22semidirect
63. #2775C22semidirect
64. #2773C22semidirect
65. #2772C22semidirect
66. #2761C22semidirect
67. #2757C22semidirect
68. #2756C22semidirect
69. #2753C22semidirect
70. #2751C22semidirect
71. #2741C22semidirect
72. #2740C22semidirect
73. #2740C22semidirect
74. #2736C22semidirect
75. #2735C22semidirect
76. #2735C22semidirect
77. #2729C22semidirect
78. #2722C22semidirect
79. #2716C22semidirect
80. #2702C22semidirect
81. #2695C22semidirect
82. #2691C22semidirect
86. #2685C22semidirect
88. #2667C22semidirect
89. #2664C22semidirect
90. #2664C22semidirect
91. #2662C22semidirect
92. #2654C22semidirect
93. #2653C22semidirect
94. #2652C22semidirect
95. #2651C22semidirect
96. #2648C22semidirect
97. #2644C22semidirect
98. #2644C22semidirect
99. #2644C22semidirect
101. #2640C22semidirect
102. #2629C22semidirect
103. #2626C22semidirect
104. #2625C22semidirect
107. #2622C22semidirect
109. #2620C22semidirect
110. #2620C22semidirect
111. #2602C22semidirect
112. #2597C22semidirect
113. #2596C22semidirect
114. #2595C22semidirect
115. #2595C22semidirect
116. #2594C22semidirect
117. #2593C22semidirect
118. #2587C22semidirect
119. #2582C22semidirect
120. #2571C22semidirect
122. #2566C22semidirect
123. #2561C22semidirect
124. #2560C22semidirect
125. #2558C22semidirect
126. #2556C22semidirect
127. #2554C22semidirect
128. #2552C22semidirect
129. #2550C22semidirect
133. #2547C22semidirect
134. #2546C22semidirect
135. #2545C22semidirect
139. #2536C22semidirect
140. #2531C22semidirect
141. #2527C22semidirect
142. #2519C22semidirect
145. #2513C22semidirect
146. #2513C22semidirect
147. #2513C22semidirect
150. #2512C22semidirect
151. #2512C22semidirect
152. #2512C22semidirect
153. #2512C22semidirect
154. #2511C22semidirect
155. #2509C22semidirect
156. #2507C22semidirect
157. #2507C22semidirect
158. #2506C22semidirect
160. #2499C22semidirect
161. #2499C22semidirect
162. #2496C22semidirect
163. #2494C22semidirect
164. #2492C22semidirect
165. #2491C22semidirect
166. #2491C22semidirect
169. #2490C22semidirect
170. #2489C22semidirect
171. #2485C22semidirect
172. #2480C22semidirect
173. #2480C22semidirect
174. #2480C22semidirect
175. #2480C22semidirect
176. #2480C22semidirect
177. #2480C22semidirect
178. #2480C22semidirect
179. #2479C22semidirect
180. #2478C22semidirect
181. #2472C22semidirect
182. #2466C22semidirect
183. #2460C22semidirect
184. #2460C22semidirect
185. #2460C22semidirect
186. #2460C22semidirect
187. #2459C22semidirect
188. #2454C22semidirect
189. #2453C22semidirect
190. #2453C22semidirect
192. #2452C22semidirect
193. #2452C22semidirect
195. #2448C22semidirect
196. #2448C22semidirect
197. #2448C22semidirect
198. #2447C22semidirect
199. #2447C22semidirect
200. #2440C22semidirect
201. #2439C22semidirect
202. #2439C22semidirect
207. #2429C22semidirect
208. #2429C22semidirect
213. #2423C22semidirect
214. #2422C22semidirect
215. #2422C22semidirect
216. #2421C22semidirect
217. #2420C22semidirect
218. #2417C22semidirect
219. #2415C22semidirect
220. #2415C22semidirect
222. #2411C22semidirect
225. #2401C22semidirect
226. #2395C22semidirect
227. #2395C22semidirect
228. #2373C22semidirect
231. #2365C22semidirect
233. #2362C22semidirect
236. #2356C22semidirect
237. #2355C22semidirect
241. #2347C22semidirect
244. #2335C22semidirect
245. #2335C22semidirect
246. #2334C22semidirect
247. #2334C22semidirect
248. #2331C22semidirect
249. #2330C22semidirect
250. #2330C22semidirect
253. #2326C22semidirect
257. #2324C22semidirect
258. #2323C22semidirect
259. #2323C22semidirect
260. #2323C22semidirect
262. #2319C22semidirect
263. #2317C22semidirect
264. #2316C22semidirect
265. #2314C22semidirect
268. C4×C4⋊Q8C22semidirect
270. C4×#125C22semidirect
271. C4×#126C22semidirect
274. C4×#124C22semidirect
275. C4×#124C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
280. #2298C22semidirect
281. #2298C22semidirect
282. #2296C22semidirect
283. #2295C22semidirect
286. #2293C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
289. #2293C22semidirect
291. #2290C22semidirect
292. #2285C22semidirect
293. C42×Q8C22semidirect
294. C42×Q8C22semidirect
295. C42×Q8C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#427842
#427812
#426342
#425632
#413532
#412162
#397612
#397362
#395552
#394972
#394812
#390702
#389872
#389572
#389232
#389102
#382622
#382022
#375242
#374922
#371092
#371052
#356242
#356112
#352772
#352662
#352202
#352162
#352092
#351642
#349542
#349152
#343102
C4×#5562
#340842