Finite Group Databasebeta

← #7652451

Subgroups — #7652451

Order 512.

4779 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42779C212yesmaximal, complemented
2#42751C212yesmaximal, complemented
3#42745C212yesmaximal, complemented
4#42666C212yesmaximal, complemented
5#42662C212yesmaximal, complemented
6#42542C212yesmaximal, complemented
7#42466C212yesmaximal, complemented
8#42458C212yesmaximal, complemented
9#41514C214yesmaximal, complemented
10#40734C214yesmaximal, complemented
11#40151C212yesmaximal, complemented
12#40071C212yesmaximal, complemented
13#39931C212yesmaximal, complemented
14#39931C212yesmaximal, complemented
15#39792C212yesmaximal, complemented
16#39221C212yesmaximal, complemented
17#39158C212yesmaximal, complemented
18#39146C212yesmaximal, complemented
19#38611C214yesmaximal, complemented
20#38506C214yesmaximal, complemented
21#35629C211yesmaximal, characteristic, complemented
22#35575C211yesmaximal, characteristic, complemented
23#35566C211yesmaximal, characteristic, complemented
24#35542C211yesmaximal, characteristic, complemented
25#35542C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#35263C211yesmaximal, characteristic, complemented
28#35257C211yesmaximal, characteristic, complemented
29#35180C211yesmaximal, characteristic, complemented
30C2×#2494C211yesmaximal, characteristic, complemented
31#34743C211yesmaximal, characteristic
32#34739C211yesmaximal, characteristic, complemented
33#34271C211yesmaximal, characteristic, complemented
34#34202C211yesmaximal, characteristic, complemented
35#34189C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2857C2212yescomplemented
46#2855C2212yes—
47#2854C2212yes—
48#2851C2212yescomplemented
49#2850C2214yes—
50#2838C2214yescomplemented
51#2838C2214yescomplemented
52#2831C2214yes—
53#2829C2214yes—
54#2801C2214yescomplemented
55#2796C2214yes—
56#2795C2214yes—
57#2793C2214yescomplemented
58#2777C2214yes—
59#2773C2214yescomplemented
60#2770C2214yes—
61#2770C2214yescomplemented
62#2766C2214yescomplemented
63#2766C2214yescomplemented
64#2765C2214yescomplemented
65#2762C2214yescomplemented
66#2759C2214yes—
67#2759C2214yescomplemented
68#2759C2214yescomplemented
69#2757C2214yes—
70#2755C2214yescomplemented
71#2746C2214yes—
72#2746C2214yescomplemented
73#2745C2214yescomplemented
74#2745C2214yescomplemented
75#2737C2214yes—
76#2737C2214yes—
77#2730C2214yes—
78#2729C2214yes—
79#2710C2214yes—
80#2701C2214yes—
81#2701C2214yes—
82#2700C2214yes—
83#2700C2214yes—
84#2700C2214yescomplemented
85#2674C2214yescomplemented
86#2666C2214yescomplemented
87#2663C2214yes—
88#2655C2214yescomplemented
89#2653C2214yes—
90#2653C2214yescomplemented
91#2653C2214yescomplemented
92#2651C2214yes—
93#2651C2214yescomplemented
94#2645C2214yescomplemented
95#2644C2214yes—
96#2639C2214yes—
97#2638C2214yes—
98#2632C2214yes—
99#2629C2212yescomplemented
100#2628C2212yescomplemented
101#2625C2212yes—
102#2624C2212yes—
103#2592C2212yescomplemented
104#2592C2212yescomplemented
105#2584C2212yescomplemented
106#2584C2212yescomplemented
107#2568C2212yescomplemented
108#2567C2212yescomplemented
109#2564C2214yes—
110#2563C2212yes—
111#2563C2212yes—
112#2563C2212yescomplemented
113#2562C2212yes—
114#2562C2212yes—
115#2562C2212yes—
116#2562C2212yes—
117#2562C2212yescomplemented
118#2562C2212yescomplemented
119#2552C2212yescomplemented
120#2551C2212yescomplemented
121#2550C2212yescomplemented
122#2550C2212yescomplemented
123#2549C2214yes—
124#2548C2212yescomplemented
125#2547C2212yes—
126#2547C2212yes—
127#2547C2212yescomplemented
128#2546C2212yescomplemented
129#2529C2214yes—
130#2529C2214yescomplemented
131#2527C2214yes—
132#2527C2214yescomplemented
133#2525C2214yescomplemented
134#2515C2214yes—
135#2514C2212yescomplemented
136#2514C2212yescomplemented
137#2513C2212yescomplemented
138#2513C2212yescomplemented
139#2510C2214yes—
140#2510C2214yes—
141#2498C2214yes—
142#2495C2212yescomplemented
143#2495C2212yescomplemented
144#2494C2212yes—
145#2494C2212yes—
146#2494C2212yes—
147#2494C2212yes—
148#2494C2212yes—
149#2494C2212yes—
150#2494C2212yes—
151#2494C2212yes—
152#2494C2214yescomplemented
153#2494C2212yescomplemented
154#2494C2212yescomplemented
155#2492C2212yes—
156#2492C2212yes—
157#2491C2212yes—
158#2491C2212yes—
159#2491C2214yes—
160#2490C2212yes—
161#2490C2212yes—
162#2489C2212yes—
163#2489C2212yes—
164#2488C2214yes—
165#2488C2214yes—
166#2487C2212yes—
167#2487C2212yescomplemented
168#2486C2212yes—
169#2486C2212yescomplemented
170#2485C2212yes—
171#2485C2212yes—
172#2485C2212yescomplemented
173#2485C2212yescomplemented
174#2472C2214yes—
175#2472C2214yes—
176#2465C2214yescomplemented
177#2461C2214yes—
178#2454C2212yescomplemented
179#2454C2212yescomplemented
180#2453C2212yescomplemented
181#2453C2212yescomplemented
182#2452C2212yescomplemented
183#2452C2212yescomplemented
184#2451C2212yescomplemented
185#2451C2212yescomplemented
186#2450C2214yes—
187#2449C2214yes—
188#2448C2212yescomplemented
189#2447C2212yescomplemented
190#2446C2212yescomplemented
191#2445C2212yescomplemented
192#2444C2214yes—
193#2443C2214yes—
194#2442C2211yescharacteristic
195#2442C2211yescharacteristic
196#2442C2212yescomplemented
197#2441C2211yescharacteristic
198#2441C2211yescharacteristic
199#2441C2212yescomplemented
200#2440C2214yes—
201#2440C2211yescharacteristic
202#2440C2211yescharacteristic
203#2440C2212yescomplemented
204#2439C2211yescharacteristic
205#2439C2211yescharacteristic
206#2439C2212yescomplemented
207#2438C2212yes—
208#2438C2212yes—
209#2437C2212yes—
210#2437C2212yes—
211#2429C2211yescharacteristic
212#2429C2211yescharacteristic
213#2428C2211yescharacteristic
214#2428C2211yescharacteristic
215#2427C2214yes—
216#2427C2211yescharacteristic
217#2427C2211yescharacteristic
218#2426C2211yescharacteristic
219#2426C2211yescharacteristic
220#2425C2212yes—
221#2425C2212yes—
222#2424C2212yes—
223#2424C2212yes—
224#2423C2214yescomplemented
225#2417C2214yes—
226#2412C2214yes—
227C2×#401C2212yes—
228#2396C2212yes—
229#2396C2212yes—
230#2392C2212yes—
231#2392C2212yes—
232C2×#397C2212yes—
233#2370C2212yescomplemented
234#2370C2212yescomplemented
235#2370C2212yescomplemented
236#2370C2212yescomplemented
237#2369C2212yescomplemented
238#2369C2212yescomplemented
239#2365C2212yescomplemented
240#2365C2212yescomplemented
241#2359C2214yes—
242#2358C2214yes—
243#2357C2212yescomplemented
244#2357C2212yescomplemented
245#2356C2212yescomplemented
246#2356C2212yescomplemented
247#2354C2212yes—
248#2353C2214yes—
249#2353C2214yes—
250#2352C2212yes—
251#2352C2212yes—
252D4×C4⋊C4C2212yes—
253#2335C2214yes—
254#2335C2214yescomplemented
255#2331C2214yescomplemented
256#2329C2214yes—
257#2326C2214yes—
258#2324C2212yes—
259#2323C2212yes—
260#2317C2211yescharacteristic
261#2316C2211yescharacteristic
262#2316C2211yescharacteristic
263#2314C2212yescomplemented
264#2314C2212yescomplemented
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2214yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#121C2212yes—
279#2297C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283C2×#389C2211yescharacteristic
284C2×#389C2211yescharacteristic
285C2×#388C2212yes—
286C2×#387C2212yes—
287#2285C2211yescharacteristic
288#2283C2212yescomplemented
289#2283C2212yescomplemented
290C2×#382C2211yescharacteristic
291#2280C2211yescharacteristic
292C2×#380C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#544—28no—
303#544—44no—
304#533—44no—
305#532—44no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#124C2314yes—
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#124C2314yes—
325C2×#124C2314yes—
326#525—28no—
327#525—44no—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#120C2312yes—
353C2×#120C2312yes—
354#520—44no—
355C4×#41—28no—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×#117—44no—
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2311yescharacteristic
399C22×C22⋊C4C2312yes—
400C22×C22⋊C4C2311yescharacteristic
401C22×C22⋊C4C2312yes—
402C22×C42C2312yes—
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405C22×C42C2312yes—
406C22×C42C2312yes—
407#401C2314yes—
408#401C2314yes—
409#401C2314yes—
410#401C2314yes—
411#401C2314yes—
412#401C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#399C2314yes—
428#399C2312yes—
429#399C2314yes—
430#399C2314yes—
431#399C2312yes—
432#399C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2312yes—
443#398C2312yes—
444#398C2314yes—
445#398C2312yes—
446#398C2312yes—
447#398C2314yes—
448#398C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2312yes—
474#396C2312yes—
475#396C2312yes—
476#396C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2312yes—
480#396C2312yes—
481#396C2312yes—
482#396C2312yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2312yes—
488#395C2314yes—
489#395C2314yes—
490#395C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2312yes—
505#394C2312yes—
506#394C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2312yes—
516#393C2312yes—
517#392C2312yes—
518#392C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2314yes—
531#391C2312yes—
532#391C2314yes—
533#391C2314yes—
534#391C2314yes—
535#391C2314yes—
536#391C2314yes—
537#391C2311yescharacteristic
538#391C2311yescharacteristic
539#391C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2314yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2314yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
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#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#386C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#384C2314yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2312yes—
705#383C2314yes—
706#383C2314yes—
707#383C2314yes—
708#383C2314yes—
709#382C2314yes—
710#382C2314yes—
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2311yescharacteristic
717#382C2311yescharacteristic
718#382C2312yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2312yes—
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2312yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#379C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2311yescharacteristic
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×Q8C2412yes—
831C22×Q8C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C23×C4—24no—
843C23×C4—24no—
844C23×C4—24no—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2411yescharacteristic
866C4⋊Q8—28no—
867C4⋊Q8—28no—
868C4⋊Q8—42no—
869C4⋊Q8—42no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872C4⋊Q8—42no—
873C4⋊Q8—48no—
874#127—42no—
875#125—28no—
876#125—28no—
877#125—42no—
878#125—42no—
879#125—44no—
880#125—44no—
881#124—42no—
882#124—42no—
883#124—48no—
884#124—84no—
885#124—84no—
886#123—28no—
887#123—48no—
888#123—44no—
889#123—48no—
890C22⋊Q8—24no—
891C22⋊Q8—24no—
892C22⋊Q8—216no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895C22⋊Q8—44no—
896C22⋊Q8—48no—
897C22⋊Q8—44no—
898C22⋊Q8—42no—
899C22⋊Q8—42no—
900C22⋊Q8—84no—
901C22⋊Q8—84no—
902#121—24no—
903#121—24no—
904#121—44no—
905#121—44no—
906#121—42no—
907#121—42no—
908#121—44no—
909#121—44no—
910#120—28no—
911#120—44no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—84no—
918C4×D4—24no—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—48no—
930C4×D4—84no—
931#117—24no—
932#117—24no—
933#117—24no—
934#117—24no—
935#117—24no—
936#117—28no—
937#117—44no—
938#117—44no—
939#117—42no—
940#117—42no—
941#117—44no—
942#117#4118yes—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—24no—
945C2×C4⋊C4—24no—
946C2×C4⋊C4—24no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4—42no—
949C2×C4⋊C4—42no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4—82no—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C22⋊C4—42no—
1022C2×C22⋊C4—42no—
1023C2×C22⋊C4—44no—
1024C2×C22⋊C4—44no—
1025C2×C22⋊C4—82no—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
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×C42—24no—
1084C2×C42—24no—
1085C2×C42—28no—
1086C2×C42—44no—
1087C2×C42—82no—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24C2511yescharacteristic
1195C24C2512yes—
1196C24C2512yes—
1197C24C2511yescharacteristic
1198C24C2511yescharacteristic
1199#41—416no—
1200#41—416no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—28no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8—44no—
1212C2×Q8—42no—
1213C2×Q8—44no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—44no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—41no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—41no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—416no—
1310C22×C4C2×#4114yes—
1311C22×C4H(5,𝔽2)14yes—
1312C22×C42−1+414yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2514yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2514yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2514yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2514yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—28no—
1352C4⋊C4—28no—
1353C4⋊C4—28no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
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—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—28no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4C2×#4114yes—
1411C4⋊C4C2×#4114yes—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—44no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4C2×#4118yes—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—24no—
1474C42—24no—
1475C42—24no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—24no—
1484C42—42no—
1485C42—42no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42—44no—
1493C42—44no—
1494C42—44no—
1495C42C2×#4118yes—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—22no—
1507C23—21no—
1508C23—22no—
1509C23—21no—
1510C23—22no—
1511C23—22no—
1512C23—21no—
1513C23—22no—
1514C23—22no—
1515C23—21no—
1516C23—21no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—21no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—21no—
1527C23—44no—
1528C23—44no—
1529C23—44no—
1530C23—44no—
1531C23—82no—
1532C23—82no—
1533C23—82no—
1534C23C22×#4112yes—
1535C23C2×H(5,𝔽2)12yes—
1536C23C2×2−1+412yes—
1537C23#58512yes—
1538C23C2611yescharacteristic
1539Q8—44no—
1540Q8—44no—
1541Q8—88no—
1542Q8—84no—
1543Q8—84no—
1544Q8—164no—
1545D4—48no—
1546D4—48no—
1547D4—48no—
1548D4—44no—
1549D4—44no—
1550D4—84no—
1551D4—84no—
1552D4—84no—
1553D4—84no—
1554D4—84no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—48no—
1643C2×C4—48no—
1644C2×C4—84no—
1645C2×C4—84no—
1646C2×C4—82no—
1647C2×C4—84no—
1648C2×C4—82no—
1649C2×C4—84no—
1650C2×C4—84no—
1651C2×C4—84no—
1652C2×C4—82no—
1653C2×C4—84no—
1654C2×C4—84no—
1655C2×C4—164no—
1656C2×C4#542116yes—
1657C2×C4C22×#4114yes—
1658C2×C4C22×#4114yes—
1659C2×C4C22×#4112yes—
1660C2×C4C22×#4112yes—
1661C2×C4C2×H(5,𝔽2)12yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×2−1+412yes—
1664C2×C4C2×2−1+412yes—
1665C2×C4#58512yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—42no—
1680C22—42no—
1681C22—41no—
1682C22—42no—
1683C22—41no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—41no—
1688C22—42no—
1689C22—42no—
1690C22—41no—
1691C22—42no—
1692C22—42no—
1693C22—41no—
1694C22—41no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—41no—
1700C22—88no—
1701C22C2×#54214yes—
1702C22C23×#4111yescharacteristic
1703C22C22×H(5,𝔽2)11yescharacteristic
1704C22C22×2−1+411yescharacteristic
1705C22C2×#58511yescharacteristic
1706C22C2×#58511yescharacteristic
1707C22H(7,𝔽2)11yescharacteristic
1708C222−1+611yescharacteristic
1709C4—24no—
1710C4—24no—
1711C4—22no—
1712C4—41no—
1713C4—41no—
1714C4—44no—
1715C4—42no—
1716C4—42no—
1717C4—41no—
1718C4—41no—
1719C4—44no—
1720C4—44no—
1721C4—42no—
1722C4—41no—
1723C4—42no—
1724C4—41no—
1725C4—42no—
1726C4—42no—
1727C4—41no—
1728C4—41no—
1729C4—42no—
1730C4—42no—
1731C4—41no—
1732C4—42no—
1733C4—44no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4C2×#54214yes—
1738C4C2×#54214yes—
1739C2—24no—
1740C2—42no—
1741C2—82no—
1742C2—82no—
1743C2—81no—
1744C2C22×#54211yescharacteristic
1745C2#6283111yescharacteristic
1746C2#6287911yescharacteristic
1747C2#6292711yescharacteristic
1748C2#6295711yescharacteristic
1749C2#6300811yescharacteristic
1750C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34743C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42779C2semidirect
2. #42751C2semidirect
3. #42745C2semidirect
4. #42666C2semidirect
5. #42662C2semidirect
6. #42542C2semidirect
7. #42466C2semidirect
8. #42458C2semidirect
9. #41514C2semidirect
10. #40734C2semidirect
11. #40151C2semidirect
12. #40071C2semidirect
13. #39931C2semidirect
14. #39931C2semidirect
15. #39792C2semidirect
16. #39221C2semidirect
17. #39158C2semidirect
18. #39146C2semidirect
19. #38611C2semidirect
20. #38506C2semidirect
21. #35629C2semidirect
22. #35575C2semidirect
23. #35566C2semidirect
24. #35542C2semidirect
25. #35542C2semidirect
26. #35517C2semidirect
27. #35263C2semidirect
28. #35257C2semidirect
29. #35180C2semidirect
30. C2×#2494C2semidirect
32. #34739C2semidirect
33. #34271C2semidirect
34. #34202C2semidirect
35. #34189C2semidirect
45. #2857C22semidirect
48. #2851C22semidirect
50. #2838C22semidirect
51. #2838C22semidirect
54. #2801C22semidirect
57. #2793C22semidirect
59. #2773C22semidirect
61. #2770C22semidirect
62. #2766C22semidirect
63. #2766C22semidirect
64. #2765C22semidirect
65. #2762C22semidirect
67. #2759C22semidirect
68. #2759C22semidirect
70. #2755C22semidirect
72. #2746C22semidirect
73. #2745C22semidirect
74. #2745C22semidirect
84. #2700C22semidirect
85. #2674C22semidirect
86. #2666C22semidirect
88. #2655C22semidirect
90. #2653C22semidirect
91. #2653C22semidirect
93. #2651C22semidirect
94. #2645C22semidirect
99. #2629C22semidirect
100. #2628C22semidirect
103. #2592C22semidirect
104. #2592C22semidirect
105. #2584C22semidirect
106. #2584C22semidirect
107. #2568C22semidirect
108. #2567C22semidirect
112. #2563C22semidirect
117. #2562C22semidirect
118. #2562C22semidirect
119. #2552C22semidirect
120. #2551C22semidirect
121. #2550C22semidirect
122. #2550C22semidirect
124. #2548C22semidirect
127. #2547C22semidirect
128. #2546C22semidirect
130. #2529C22semidirect
132. #2527C22semidirect
133. #2525C22semidirect
135. #2514C22semidirect
136. #2514C22semidirect
137. #2513C22semidirect
138. #2513C22semidirect
142. #2495C22semidirect
143. #2495C22semidirect
152. #2494C22semidirect
153. #2494C22semidirect
154. #2494C22semidirect
167. #2487C22semidirect
169. #2486C22semidirect
172. #2485C22semidirect
173. #2485C22semidirect
176. #2465C22semidirect
178. #2454C22semidirect
179. #2454C22semidirect
180. #2453C22semidirect
181. #2453C22semidirect
182. #2452C22semidirect
183. #2452C22semidirect
184. #2451C22semidirect
185. #2451C22semidirect
188. #2448C22semidirect
189. #2447C22semidirect
190. #2446C22semidirect
191. #2445C22semidirect
196. #2442C22semidirect
199. #2441C22semidirect
203. #2440C22semidirect
206. #2439C22semidirect
224. #2423C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
235. #2370C22semidirect
236. #2370C22semidirect
237. #2369C22semidirect
238. #2369C22semidirect
239. #2365C22semidirect
240. #2365C22semidirect
243. #2357C22semidirect
244. #2357C22semidirect
245. #2356C22semidirect
246. #2356C22semidirect
254. #2335C22semidirect
255. #2331C22semidirect
263. #2314C22semidirect
264. #2314C22semidirect
288. #2283C22semidirect
289. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#427792
#427512
#427452
#426662
#426622
#425422
#424662
#424582
#415142
#407342
#401512
#400712
#399312
#397922
#392212
#391582
#391462
#386112
#385062
#356292
#355752
#355662
#355422
#355172
#352632
#352572
#351802
C2×#24942
#347432
#347392
#342712
#342022
#341892