Finite Group Databasebeta

← #7651281

Subgroups — #7651281

Order 512.

4951 conjugacy classes of subgroups.

The subgroup lattice has 1769 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42783C212yesmaximal, complemented
2#42762C212yesmaximal, complemented
3#42751C212yesmaximal, complemented
4#42745C212yesmaximal, complemented
5#42625C212yesmaximal, complemented
6#42571C212yesmaximal, complemented
7#42554C212yesmaximal, complemented
8#42537C212yesmaximal, complemented
9#41430C214yesmaximal, complemented
10#40644C214yesmaximal, complemented
11#40174C212yesmaximal, complemented
12#40131C212yesmaximal, complemented
13#40117C212yesmaximal, complemented
14#40058C212yesmaximal, complemented
15#39538C212yesmaximal, complemented
16#39247C212yesmaximal, complemented
17#39240C212yesmaximal, complemented
18#39002C212yesmaximal, complemented
19#38462C214yesmaximal, complemented
20#38110C214yesmaximal, complemented
21#35639C211yesmaximal, characteristic, complemented
22#35563C211yesmaximal, characteristic
23#35556C211yesmaximal, characteristic, complemented
24#35544C211yesmaximal, characteristic, complemented
25#35541C211yesmaximal, characteristic, complemented
26#35515C211yesmaximal, characteristic, complemented
27#35266C211yesmaximal, characteristic, complemented
28#35263C211yesmaximal, characteristic, complemented
29#35173C211yesmaximal, characteristic, complemented
30#34813C211yesmaximal, characteristic, complemented
31C2×#2490C211yesmaximal, characteristic, complemented
32#34739C211yesmaximal, characteristic, complemented
33#34252C211yesmaximal, characteristic, complemented
34#34217C211yesmaximal, characteristic, complemented
35#34204C211yesmaximal, characteristic, complemented
36C2×#535C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#518C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2860C2212yescomplemented
46#2860C2212yescomplemented
47#2857C2214yes—
48#2855C2212yescomplemented
49#2854C2212yescomplemented
50#2838C2214yescomplemented
51#2837C2214yescomplemented
52#2830C2214yescomplemented
53#2829C2214yescomplemented
54#2800C2214yescomplemented
55#2796C2214yescomplemented
56#2796C2214yescomplemented
57#2795C2214yescomplemented
58#2790C2214yescomplemented
59#2779C2214yescomplemented
60#2777C2214yescomplemented
61#2775C2214yescomplemented
62#2772C2214yescomplemented
63#2770C2214yescomplemented
64#2765C2214yescomplemented
65#2761C2214yescomplemented
66#2757C2214yescomplemented
67#2751C2214yescomplemented
68#2751C2214yescomplemented
69#2746C2214yescomplemented
70#2741C2214yescomplemented
71#2737C2214yescomplemented
72#2737C2214yescomplemented
73#2730C2214yescomplemented
74#2730C2214yescomplemented
75#2723C2214yescomplemented
76#2717C2214yescomplemented
77#2716C2214yescomplemented
78#2705C2214yescomplemented
79#2705C2214yescomplemented
80#2701C2214yescomplemented
81#2698C2214yescomplemented
82#2691C2214yescomplemented
83#2686C2214yescomplemented
84#2674C2214yescomplemented
85#2672C2214yescomplemented
86#2663C2214yescomplemented
87#2662C2214yescomplemented
88#2659C2214yes—
89#2653C2214yescomplemented
90#2652C2214yescomplemented
91#2651C2214yescomplemented
92#2651C2214yescomplemented
93#2650C2214yescomplemented
94#2650C2214yescomplemented
95#2644C2212yescomplemented
96#2644C2214yescomplemented
97#2644C2212yescomplemented
98#2638C2214yescomplemented
99#2630C2214yescomplemented
100#2625C2212yescomplemented
101#2624C2214yescomplemented
102#2624C2212yescomplemented
103#2592C2212yescomplemented
104#2592C2212yescomplemented
105#2584C2212yescomplemented
106#2584C2212yescomplemented
107#2584C2212yescomplemented
108#2584C2212yescomplemented
109#2580C2212yescomplemented
110#2580C2212yescomplemented
111#2579C2214yes—
112#2567C2212yescomplemented
113#2567C2212yescomplemented
114#2548C2212yescomplemented
115#2548C2212yescomplemented
116#2546C2212yescomplemented
117#2546C2212yescomplemented
118#2538C2212yescomplemented
119#2538C2212yescomplemented
120#2534C2214yes—
121#2530C2214yescomplemented
122#2529C2214yescomplemented
123#2521C2214yescomplemented
124#2515C2214yescomplemented
125#2513C2212yescomplemented
126#2513C2212yescomplemented
127#2512C2212yescomplemented
128#2512C2214yescomplemented
129#2512C2212yescomplemented
130#2498C2214yes—
131#2497C2212yescomplemented
132#2497C2212yescomplemented
133#2496C2212yescomplemented
134#2496C2212yescomplemented
135#2495C2212yescomplemented
136#2495C2212yescomplemented
137#2494C2212yescomplemented
138#2494C2212yescomplemented
139#2493C2214yes—
140#2492C2211yescharacteristic, complemented
141#2492C2211yescharacteristic, complemented
142#2491C2212yescomplemented
143#2491C2212yescomplemented
144#2491C2214yescomplemented
145#2491C2211yescharacteristic, complemented
146#2491C2211yescharacteristic, complemented
147#2490C2212yes—
148#2490C2212yes—
149#2490C2212yes—
150#2490C2212yes—
151#2490C2212yes—
152#2490C2212yes—
153#2490C2212yes—
154#2490C2212yes—
155#2490C2212yescomplemented
156#2490C2211yescharacteristic, complemented
157#2490C2212yescomplemented
158#2490C2211yescharacteristic, complemented
159#2489C2211yescharacteristic, complemented
160#2489C2211yescharacteristic, complemented
161#2488C2212yes—
162#2488C2212yes—
163#2487C2214yes—
164#2487C2212yescomplemented
165#2486C2212yescomplemented
166#2485C2212yescomplemented
167#2485C2212yescomplemented
168#2480C2214yes—
169#2480C2214yes—
170#2480C2214yes—
171#2479C2214yescomplemented
172#2472C2214yes—
173#2472C2212yes—
174#2472C2214yes—
175#2472C2212yes—
176#2470C2214yescomplemented
177#2468C2214yescomplemented
178#2461C2214yescomplemented
179#2454C2212yescomplemented
180#2454C2212yescomplemented
181#2454C2212yescomplemented
182#2454C2212yescomplemented
183#2453C2212yescomplemented
184#2453C2212yescomplemented
185#2452C2212yescomplemented
186#2452C2214yescomplemented
187#2452C2212yescomplemented
188#2447C2212yescomplemented
189#2447C2212yescomplemented
190#2445C2212yescomplemented
191#2445C2212yescomplemented
192#2442C2212yescomplemented
193#2442C2212yescomplemented
194#2442C2211yescharacteristic, complemented
195#2442C2211yescharacteristic, complemented
196#2441C2211yescharacteristic, complemented
197#2441C2212yescomplemented
198#2441C2212yescomplemented
199#2441C2211yescharacteristic, complemented
200#2440C2211yescharacteristic, complemented
201#2440C2211yescharacteristic, complemented
202#2439C2211yescharacteristic, complemented
203#2439C2211yescharacteristic, complemented
204#2438C2212yes—
205#2438C2212yes—
206#2437C2214yes—
207#2437C2212yes—
208#2437C2212yes—
209#2437C2214yes—
210#2428C2212yes—
211#2428C2212yes—
212#2426C2212yes—
213#2426C2212yes—
214#2422C2212yescomplemented
215#2422C2214yescomplemented
216#2422C2212yescomplemented
217#2420C2212yescomplemented
218#2420C2212yescomplemented
219#2416C2212yes—
220#2416C2212yes—
221#2414C2212yes—
222#2414C2212yes—
223#2412C2214yes—
224#2412C2214yes—
225#2412C2214yes—
226#2408C2214yes—
227#2398C2212yescomplemented
228#2398C2212yescomplemented
229#2396C2212yescomplemented
230#2396C2212yescomplemented
231C2×#397C2212yes—
232C2×#394C2212yes—
233#2370C2212yescomplemented
234#2370C2212yescomplemented
235#2370C2212yescomplemented
236#2370C2212yescomplemented
237#2363C2212yes—
238#2363C2212yes—
239#2361C2212yes—
240#2361C2212yes—
241#2357C2212yescomplemented
242#2356C2212yescomplemented
243#2355C2212yescomplemented
244#2354C2212yescomplemented
245#2347C2212yescomplemented
246#2346C2212yescomplemented
247#2345C2214yes—
248#2345C2214yes—
249#2345C2212yescomplemented
250#2344C2212yescomplemented
251#2342C2214yes—
252D4×C22⋊C4C2214yes—
253#2337C2214yescomplemented
254#2332C2214yescomplemented
255#2330C2212yescomplemented
256#2330C2212yescomplemented
257#2324C2212yes—
258#2324C2212yes—
259#2324C2214yescomplemented
260#2319C2214yescomplemented
261#2318C2214yes—
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2316C2211yescharacteristic
265#2316C2211yescharacteristic
266#2316C2211yescharacteristic
267#2316C2211yescharacteristic
268#2316C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2309C2211yescharacteristic
272#2309C2211yescharacteristic
273C4×#125C2212yescomplemented
274C4×#125C2212yescomplemented
275C4×#124C2212yescomplemented
276C4×#124C2212yescomplemented
277C4×C22⋊Q8C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×#121C2212yes—
280C4×#121C2212yes—
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285C2×#390C2211yescharacteristic
286C2×#390C2211yescharacteristic
287C2×#390C2212yes—
288#2290C2214yes—
289C2×#388C2212yes—
290#2285C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C24×C4C2311yescharacteristic
303#535—44no—
304#533—44no—
305#533—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2314yes—
311C2×#127C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125—28no—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329#525—44no—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×#121—28no—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#120C2312yes—
356C2×#120C2314yes—
357#520—28no—
358#518—44no—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×#117—44no—
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2314yes—
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2311yescharacteristic
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2314yes—
399C22×C22⋊C4C2311yescharacteristic
400C22×C22⋊C4C2311yescharacteristic
401C22×C22⋊C4C2312yes—
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2312yes—
409C22×C42C2312yes—
410#401C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2312yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#399C2312yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2312yes—
429#399C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2312yes—
440#398C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#396C2312yes—
481#396C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2312yes—
487#395C2312yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#393C2312yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2312yes—
516#393C2312yes—
517#393C2312yes—
518#393C2312yes—
519#393C2312yes—
520#392C2314yes—
521#392C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2314yes—
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2311yescharacteristic
533#391C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2311yescharacteristic
556#390C2311yescharacteristic
557#390C2314yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2314yes—
563#390C2311yescharacteristic
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
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#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2314yes—
610#389C2312yes—
611#389C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2312yes—
644#388C2314yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#384C2314yes—
709#384C2312yes—
710#384C2312yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#383C2314yes—
714#383C2314yes—
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#382C2312yes—
721#382C2312yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2312yes—
727#381C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#380C2314yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#379C2314yes—
759#379C2314yes—
760#379C2312yes—
761#379C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812#376C2314yes—
813#376C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2312yes—
817C2×#95C2311yescharacteristic
818C43C2312yes—
819C25C2411yescharacteristic
820C25C2412yes—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×D4—24no—
830C22×D4—28no—
831C22×D4—24no—
832C22×D4—24no—
833C22×D4—44no—
834C22×D4—82no—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C23×C4—24no—
846C23×C4—24no—
847C23×C4—24no—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C4⋊Q8—42no—
868C4⋊Q8—42no—
869C4⋊Q8—42no—
870C4⋊Q8—42no—
871C4⋊Q8—84no—
872#127—44no—
873#126—84no—
874#126—84no—
875#126—84no—
876#125—28no—
877#125—28no—
878#125—28no—
879#125—28no—
880#125—42no—
881#125—42no—
882#125—42no—
883#125—42no—
884#124—44no—
885#124—44no—
886#124—48no—
887#124—44no—
888#124—84no—
889#123—44no—
890#123—84no—
891#123—84no—
892#123—84no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—48no—
900C22⋊Q8—42no—
901C22⋊Q8—42no—
902C22⋊Q8—84no—
903#121—28no—
904#121—28no—
905#121—28no—
906#121—28no—
907#121—48no—
908#121—42no—
909#121—42no—
910#121—44no—
911#121—44no—
912#121—84no—
913#120—44no—
914#120—48no—
915C4×Q8—28no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×D4—216no—
921C4×D4—28no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—48no—
929C4×D4—84no—
930#117—24no—
931#117—24no—
932#117—24no—
933#117—24no—
934#117—24no—
935#117—24no—
936#117—24no—
937#117—28no—
938#117—44no—
939#117—44no—
940#117—42no—
941#117—42no—
942#117—84no—
943C2×C4⋊C4—28no—
944C2×C4⋊C4—28no—
945C2×C4⋊C4—24no—
946C2×C4⋊C4—24no—
947C2×C4⋊C4—28no—
948C2×C4⋊C4—42no—
949C2×C4⋊C4—42no—
950C2×C4⋊C4#4118yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C22⋊C4—28no—
1019C2×C22⋊C4—42no—
1020C2×C22⋊C4—44no—
1021C2×C22⋊C4—42no—
1022C2×C22⋊C4—44no—
1023C2×C22⋊C4—48no—
1024C2×C22⋊C4—82no—
1025C2×C22⋊C4—82no—
1026C2×C22⋊C4—82no—
1027C2×C22⋊C4—82no—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C42—24no—
1095C2×C42—24no—
1096C2×C42—44no—
1097C2×C42—82no—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—22no—
1196C24—24no—
1197C24—24no—
1198C24—24no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—42no—
1203C24—42no—
1204C24—42no—
1205C24—42no—
1206C24C2514yes—
1207C24C2511yescharacteristic
1208C24C2512yes—
1209C24C2511yescharacteristic
1210C24C2511yescharacteristic
1211#41—416no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×Q8—42no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8—42no—
1226C2×Q8—42no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—28no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—28no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—416no—
1258C2×D4—816no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—28no—
1286C22×C4—41no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—42no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—42no—
1299C22×C4—41no—
1300C22×C4—42no—
1301C22×C4—44no—
1302C22×C4—42no—
1303C22×C4—44no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—416no—
1313C22×C4C2×#4118yes—
1314C22×C4C2×#4114yes—
1315C22×C4H(5,𝔽2)14yes—
1316C22×C42−1+414yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2514yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2514yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2514yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C4⋊C4—22no—
1348C4⋊C4—28no—
1349C4⋊C4—28no—
1350C4⋊C4—28no—
1351C4⋊C4—28no—
1352C4⋊C4—28no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4C2×#4118yes—
1413C4⋊C4C2×#4118yes—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—22no—
1429C22⋊C4—28no—
1430C22⋊C4—22no—
1431C22⋊C4—24no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—44no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—28no—
1485C42—24no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—24no—
1491C42—24no—
1492C42—24no—
1493C42—24no—
1494C42—24no—
1495C42—24no—
1496C42—42no—
1497C42—42no—
1498C42—44no—
1499C42—44no—
1500C42—44no—
1501C42—44no—
1502C42—42no—
1503C42—42no—
1504C42—44no—
1505C42—44no—
1506C42—42no—
1507C42—42no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—22no—
1519C23—24no—
1520C23—21no—
1521C23—21no—
1522C23—24no—
1523C23—22no—
1524C23—21no—
1525C23—22no—
1526C23—24no—
1527C23—24no—
1528C23—22no—
1529C23—21no—
1530C23—22no—
1531C23—24no—
1532C23—21no—
1533C23—21no—
1534C23—24no—
1535C23—22no—
1536C23—22no—
1537C23—24no—
1538C23—21no—
1539C23—44no—
1540C23—44no—
1541C23—44no—
1542C23—44no—
1543C23—48no—
1544C23—82no—
1545C23—82no—
1546C23—82no—
1547C23—84no—
1548C23—84no—
1549C23—84no—
1550C23—84no—
1551C23—84no—
1552C23—84no—
1553C23C22×#4112yes—
1554C23C2×H(5,𝔽2)12yes—
1555C23C2×2−1+412yes—
1556C23#58512yes—
1557C23C2611yescharacteristic
1558Q8—44no—
1559Q8—84no—
1560Q8—84no—
1561Q8—84no—
1562Q8—84no—
1563D4—416no—
1564D4—48no—
1565D4—48no—
1566D4—48no—
1567D4—44no—
1568D4—88no—
1569D4—84no—
1570D4—84no—
1571D4—164no—
1572D4—164no—
1573C2×C4—21no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—24no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—48no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—44no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—48no—
1663C2×C4—88no—
1664C2×C4—82no—
1665C2×C4—82no—
1666C2×C4—84no—
1667C2×C4—84no—
1668C2×C4—84no—
1669C2×C4—82no—
1670C2×C4—84no—
1671C2×C4—164no—
1672C2×C4—164no—
1673C2×C4#542116yes—
1674C2×C4C22×#4118yes—
1675C2×C4C22×#4112yes—
1676C2×C4C22×#4112yes—
1677C2×C4C2×H(5,𝔽2)12yes—
1678C2×C4C2×H(5,𝔽2)12yes—
1679C2×C4C2×2−1+412yes—
1680C2×C4C2×2−1+412yes—
1681C2×C4#58512yes—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—42no—
1696C22—44no—
1697C22—41no—
1698C22—42no—
1699C22—41no—
1700C22—44no—
1701C22—42no—
1702C22—41no—
1703C22—44no—
1704C22—42no—
1705C22—41no—
1706C22—44no—
1707C22—41no—
1708C22—42no—
1709C22—44no—
1710C22—44no—
1711C22—44no—
1712C22—41no—
1713C22—42no—
1714C22—42no—
1715C22—41no—
1716C22—88no—
1717C22—168no—
1718C22C2×#54214yes—
1719C22C23×#4111yescharacteristic
1720C22C22×H(5,𝔽2)11yescharacteristic
1721C22C22×2−1+411yescharacteristic
1722C22C2×#58511yescharacteristic
1723C22C2×#58511yescharacteristic
1724C22H(7,𝔽2)11yescharacteristic
1725C22H(7,𝔽2)11yescharacteristic
1726C4—28no—
1727C4—22no—
1728C4—41no—
1729C4—41no—
1730C4—42no—
1731C4—42no—
1732C4—41no—
1733C4—41no—
1734C4—44no—
1735C4—42no—
1736C4—42no—
1737C4—44no—
1738C4—41no—
1739C4—41no—
1740C4—42no—
1741C4—41no—
1742C4—42no—
1743C4—42no—
1744C4—42no—
1745C4—42no—
1746C4—41no—
1747C4—41no—
1748C4—42no—
1749C4—42no—
1750C4—42no—
1751C4—42no—
1752C4—42no—
1753C4—42no—
1754C4C2×#54214yes—
1755C4C2×#54214yes—
1756C2—24no—
1757C2—42no—
1758C2—82no—
1759C2—81no—
1760C2—84no—
1761C2C22×#54211yescharacteristic
1762C2#6283111yescharacteristic
1763C2#6288111yescharacteristic
1764C2#6295711yescharacteristic
1765C2#6295711yescharacteristic
1766C2#6299011yescharacteristic
1767C2#6300611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35563C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42783C2semidirect
2. #42762C2semidirect
3. #42751C2semidirect
4. #42745C2semidirect
5. #42625C2semidirect
6. #42571C2semidirect
7. #42554C2semidirect
8. #42537C2semidirect
9. #41430C2semidirect
10. #40644C2semidirect
11. #40174C2semidirect
12. #40131C2semidirect
13. #40117C2semidirect
14. #40058C2semidirect
15. #39538C2semidirect
16. #39247C2semidirect
17. #39240C2semidirect
18. #39002C2semidirect
19. #38462C2semidirect
20. #38110C2semidirect
21. #35639C2semidirect
23. #35556C2semidirect
24. #35544C2semidirect
25. #35541C2semidirect
26. #35515C2semidirect
27. #35266C2semidirect
28. #35263C2semidirect
29. #35173C2semidirect
30. #34813C2semidirect
31. C2×#2490C2semidirect
32. #34739C2semidirect
33. #34252C2semidirect
34. #34217C2semidirect
35. #34204C2semidirect
45. #2860C22semidirect
46. #2860C22semidirect
48. #2855C22semidirect
49. #2854C22semidirect
50. #2838C22semidirect
51. #2837C22semidirect
52. #2830C22semidirect
53. #2829C22semidirect
54. #2800C22semidirect
55. #2796C22semidirect
56. #2796C22semidirect
57. #2795C22semidirect
58. #2790C22semidirect
59. #2779C22semidirect
60. #2777C22semidirect
61. #2775C22semidirect
62. #2772C22semidirect
63. #2770C22semidirect
64. #2765C22semidirect
65. #2761C22semidirect
66. #2757C22semidirect
67. #2751C22semidirect
68. #2751C22semidirect
69. #2746C22semidirect
70. #2741C22semidirect
71. #2737C22semidirect
72. #2737C22semidirect
73. #2730C22semidirect
74. #2730C22semidirect
75. #2723C22semidirect
76. #2717C22semidirect
77. #2716C22semidirect
78. #2705C22semidirect
79. #2705C22semidirect
80. #2701C22semidirect
81. #2698C22semidirect
82. #2691C22semidirect
83. #2686C22semidirect
84. #2674C22semidirect
85. #2672C22semidirect
86. #2663C22semidirect
87. #2662C22semidirect
89. #2653C22semidirect
90. #2652C22semidirect
91. #2651C22semidirect
92. #2651C22semidirect
93. #2650C22semidirect
94. #2650C22semidirect
95. #2644C22semidirect
96. #2644C22semidirect
97. #2644C22semidirect
98. #2638C22semidirect
99. #2630C22semidirect
100. #2625C22semidirect
101. #2624C22semidirect
102. #2624C22semidirect
103. #2592C22semidirect
104. #2592C22semidirect
105. #2584C22semidirect
106. #2584C22semidirect
107. #2584C22semidirect
108. #2584C22semidirect
109. #2580C22semidirect
110. #2580C22semidirect
112. #2567C22semidirect
113. #2567C22semidirect
114. #2548C22semidirect
115. #2548C22semidirect
116. #2546C22semidirect
117. #2546C22semidirect
118. #2538C22semidirect
119. #2538C22semidirect
121. #2530C22semidirect
122. #2529C22semidirect
123. #2521C22semidirect
124. #2515C22semidirect
125. #2513C22semidirect
126. #2513C22semidirect
127. #2512C22semidirect
128. #2512C22semidirect
129. #2512C22semidirect
131. #2497C22semidirect
132. #2497C22semidirect
133. #2496C22semidirect
134. #2496C22semidirect
135. #2495C22semidirect
136. #2495C22semidirect
137. #2494C22semidirect
138. #2494C22semidirect
140. #2492C22semidirect
141. #2492C22semidirect
142. #2491C22semidirect
143. #2491C22semidirect
144. #2491C22semidirect
145. #2491C22semidirect
146. #2491C22semidirect
155. #2490C22semidirect
156. #2490C22semidirect
157. #2490C22semidirect
158. #2490C22semidirect
159. #2489C22semidirect
160. #2489C22semidirect
164. #2487C22semidirect
165. #2486C22semidirect
166. #2485C22semidirect
167. #2485C22semidirect
171. #2479C22semidirect
176. #2470C22semidirect
177. #2468C22semidirect
178. #2461C22semidirect
179. #2454C22semidirect
180. #2454C22semidirect
181. #2454C22semidirect
182. #2454C22semidirect
183. #2453C22semidirect
184. #2453C22semidirect
185. #2452C22semidirect
186. #2452C22semidirect
187. #2452C22semidirect
188. #2447C22semidirect
189. #2447C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2442C22semidirect
193. #2442C22semidirect
194. #2442C22semidirect
195. #2442C22semidirect
196. #2441C22semidirect
197. #2441C22semidirect
198. #2441C22semidirect
199. #2441C22semidirect
200. #2440C22semidirect
201. #2440C22semidirect
202. #2439C22semidirect
203. #2439C22semidirect
214. #2422C22semidirect
215. #2422C22semidirect
216. #2422C22semidirect
217. #2420C22semidirect
218. #2420C22semidirect
227. #2398C22semidirect
228. #2398C22semidirect
229. #2396C22semidirect
230. #2396C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
235. #2370C22semidirect
236. #2370C22semidirect
241. #2357C22semidirect
242. #2356C22semidirect
243. #2355C22semidirect
244. #2354C22semidirect
245. #2347C22semidirect
246. #2346C22semidirect
249. #2345C22semidirect
250. #2344C22semidirect
253. #2337C22semidirect
254. #2332C22semidirect
255. #2330C22semidirect
256. #2330C22semidirect
259. #2324C22semidirect
260. #2319C22semidirect
273. C4×#125C22semidirect
274. C4×#125C22semidirect
275. C4×#124C22semidirect
276. C4×#124C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#427832
#427622
#427512
#427452
#426252
#425712
#425542
#425372
#414302
#406442
#401742
#401312
#401172
#400582
#395382
#392472
#392402
#390022
#384622
#381102
#356392
#355632
#355562
#355442
#355412
#355152
#352662
#352632
#351732
#348132
C2×#24902
#347392
#342522
#342172
#342042