Finite Group Databasebeta

← #7712041

Subgroups — #7712041

Order 512.

5264 conjugacy classes of subgroups.

The subgroup lattice has 1748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59962C212yesmaximal, complemented
2#59962C212yesmaximal, complemented
3#59897C212yesmaximal, complemented
4#59820C212yesmaximal, complemented
5#46030C214yesmaximal, complemented
6#45832C214yesmaximal, complemented
7#39201C211yesmaximal, characteristic, complemented
8#39192C211yesmaximal, characteristic, complemented
9#38965C211yesmaximal, characteristic, complemented
10#38952C211yesmaximal, characteristic, complemented
11#38860C214yesmaximal, complemented
12#38360C214yesmaximal, complemented
13#38242C212yesmaximal, complemented
14#38228C212yesmaximal, complemented
15#38218C212yesmaximal, complemented
16#38204C212yesmaximal, complemented
17#38067C212yesmaximal, complemented
18#38056C212yesmaximal, complemented
19#37637C211yesmaximal, characteristic, complemented
20#37625C211yesmaximal, characteristic, complemented
21#37351C212yesmaximal, complemented
22#37335C212yesmaximal, complemented
23#36635C211yesmaximal, characteristic, complemented
24#36631C211yesmaximal, characteristic, complemented
25#36193C211yesmaximal, characteristic, complemented
26#36183C212yesmaximal, complemented
27#36154C211yesmaximal, characteristic, complemented
28#36143C212yesmaximal, complemented
29#36117C211yesmaximal, characteristic, complemented
30#36101C211yesmaximal, characteristic
31#35302C212yesmaximal, complemented
32#35263C212yesmaximal, complemented
33#34494C211yesmaximal, characteristic, complemented
34#34484C211yesmaximal, characteristic, complemented
35C2×#2293C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#551C2214yes—
38C2×#550C2211yescharacteristic
39C2×#529C2212yes—
40C2×#529C2212yes—
41C2×#525C2212yes—
42C22×C4×D4C2211yescharacteristic
43C22×#117C2212yes—
44#2864C2212yescomplemented
45#2863C2212yescomplemented
46#2863C2211yescharacteristic, complemented
47#2863C2211yescharacteristic, complemented
48#2862C2211yescharacteristic, complemented
49#2861C2212yescomplemented
50#2860C2212yescomplemented
51#2860C2212yescomplemented
52#2859C2211yescharacteristic, complemented
53#2859C2211yescharacteristic, complemented
54#2858C2211yescharacteristic, complemented
55#2857C2211yescharacteristic
56#2857C2211yescharacteristic
57#2857C2211yescharacteristic
58#2856C2211yescharacteristic
59#2855C2211yescharacteristic
60#2855C2212yes—
61#2855C2211yescharacteristic
62#2855C2212yes—
63#2854C2212yes—
64#2854C2212yes—
65#2854C2212yes—
66#2851C2212yes—
67#2850C2212yes—
68#2848C2212yes—
69#2847C2212yes—
70#2831C2214yescomplemented
71#2829C2214yescomplemented
72#2807C2214yescomplemented
73#2800C2214yescomplemented
74#2788C2214yescomplemented
75#2781C2214yescomplemented
76#2781C2214yescomplemented
77#2777C2214yescomplemented
78#2773C2214yescomplemented
79#2772C2214yescomplemented
80#2768C2214yescomplemented
81#2768C2214yescomplemented
82#2756C2214yes—
83#2753C2214yes—
84#2750C2214yescomplemented
85#2749C2214yes—
86#2741C2214yescomplemented
87#2740C2214yescomplemented
88#2738C2214yescomplemented
89#2730C2214yes—
90#2727C2214yescomplemented
91#2725C2214yescomplemented
92#2715C2214yescomplemented
93#2712C2214yescomplemented
94#2710C2214yescomplemented
95#2706C2214yes—
96#2705C2214yes—
97#2704C2214yescomplemented
98#2702C2214yescomplemented
99#2695C2214yescomplemented
100#2694C2214yescomplemented
101#2694C2214yescomplemented
102#2672C2214yescomplemented
103#2672C2214yescomplemented
104#2647C2212yescomplemented
105#2644C2212yes—
106#2644C2212yescomplemented
107#2641C2212yes—
108#2637C2214yescomplemented
109#2630C2214yescomplemented
110#2629C2212yescomplemented
111#2629C2212yescomplemented
112#2625C2212yescomplemented
113#2625C2212yescomplemented
114#2624C2212yescomplemented
115#2624C2212yescomplemented
116#2620C2212yescomplemented
117#2620C2212yescomplemented
118#2609C2214yescomplemented
119#2609C2214yescomplemented
120#2609C2214yescomplemented
121#2601C2214yescomplemented
122#2601C2214yescomplemented
123#2601C2214yescomplemented
124#2584C2212yescomplemented
125#2580C2212yescomplemented
126#2579C2214yes—
127#2567C2211yescharacteristic, complemented
128#2564C2214yes—
129#2563C2211yescharacteristic
130#2553C2214yescomplemented
131#2553C2214yescomplemented
132#2552C2211yescharacteristic, complemented
133#2552C2211yescharacteristic, complemented
134#2548C2212yes—
135#2548C2211yescharacteristic, complemented
136#2541C2211yescharacteristic
137#2538C2211yescharacteristic
138#2538C2211yescharacteristic
139#2538C2212yes—
140#2534C2214yes—
141#2534C2214yes—
142#2522C2214yescomplemented
143#2521C2214yescomplemented
144#2520C2214yescomplemented
145#2513C2212yes—
146#2513C2212yescomplemented
147#2512C2212yes—
148#2512C2212yes—
149#2512C2212yescomplemented
150#2511C2212yescomplemented
151#2509C2212yescomplemented
152#2508C2212yescomplemented
153#2508C2212yescomplemented
154#2507C2212yescomplemented
155#2507C2212yescomplemented
156#2507C2212yescomplemented
157#2505C2214yescomplemented
158#2501C2212yes—
159#2501C2212yescomplemented
160#2498C2214yes—
161#2498C2214yescomplemented
162#2498C2214yescomplemented
163#2498C2214yescomplemented
164#2496C2212yescomplemented
165#2496C2212yescomplemented
166#2491C2212yescomplemented
167#2489C2212yescomplemented
168#2488C2214yescomplemented
169#2487C2212yes—
170#2487C2214yes—
171#2486C2214yes—
172#2485C2214yescomplemented
173#2485C2214yescomplemented
174#2485C2214yescomplemented
175#2479C2214yescomplemented
176#2471C2214yes—
177#2470C2214yescomplemented
178#2467C2214yes—
179#2466C2214yescomplemented
180#2456C2214yes—
181#2454C2212yes—
182#2454C2212yes—
183#2454C2212yescomplemented
184#2454C2212yescomplemented
185#2454C2212yescomplemented
186#2454C2212yescomplemented
187#2450C2214yes—
188#2448C2212yescomplemented
189#2445C2212yes—
190#2445C2212yes—
191#2445C2212yes—
192#2445C2212yes—
193#2445C2212yes—
194#2442C2212yes—
195#2442C2212yes—
196#2441C2212yescomplemented
197#2440C2212yescomplemented
198#2438C2214yes—
199#2437C2214yes—
200#2433C2212yes—
201#2432C2212yescomplemented
202#2429C2212yescomplemented
203#2427C2212yescomplemented
204#2425C2214yes—
205#2424C2214yes—
206#2422C2212yescomplemented
207#2422C2212yescomplemented
208#2419C2214yes—
209#2418C2214yes—
210#2417C2212yes—
211#2414C2212yes—
212#2413C2214yes—
213#2412C2214yes—
214#2412C2214yes—
215#2412C2214yes—
216#2411C2214yes—
217#2407C2212yes—
218#2378C2214yescomplemented
219#2377C2214yescomplemented
220#2370C2212yescomplemented
221#2370C2212yescomplemented
222#2369C2211yescharacteristic, complemented
223#2366C2212yes—
224#2366C2212yes—
225#2366C2211yescharacteristic, complemented
226#2362C2212yescomplemented
227#2361C2212yes—
228#2361C2212yes—
229#2361C2212yescomplemented
230#2359C2214yescomplemented
231#2359C2214yescomplemented
232#2355C2211yescharacteristic, complemented
233#2354C2211yescharacteristic
234#2354C2212yes—
235#2354C2212yescomplemented
236Q8×C4⋊C4C2211yescharacteristic, complemented
237#2349C2214yes—
238#2349C2212yes—
239#2349C2212yescomplemented
240D4×C4⋊C4C2211yescharacteristic
241#2344C2212yes—
242#2344C2212yescomplemented
243#2339C2212yescomplemented
244D4×C22⋊C4C2212yes—
245#2330C2212yescomplemented
246#2328C2212yes—
247#2325C2214yescomplemented
248#2324C2212yescomplemented
249#2324C2212yescomplemented
250#2323C2212yescomplemented
251#2323C2214yescomplemented
252#2323C2212yescomplemented
253#2319C2212yes—
254#2319C2212yescomplemented
255#2316C2212yescomplemented
256#2316C2212yescomplemented
257#2311C2212yescomplemented
258#2311C2212yescomplemented
259C4×C4⋊Q8C2211yescharacteristic, complemented
260C4×C4⋊Q8C2211yescharacteristic, complemented
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×#127C2211yescharacteristic, complemented
263C4×#125C2212yescomplemented
264C4×#124C2212yescomplemented
265C4×C22⋊Q8C2211yescharacteristic
266C4×C22⋊Q8C2211yescharacteristic
267C4×C22⋊Q8C2212yes—
268C4×#121C2212yes—
269C4×#121C2212yes—
270#2295C2211yescharacteristic, complemented
271#2295C2212yescomplemented
272#2295C2211yescharacteristic, complemented
273#2293C2211yescharacteristic
274#2293C2212yes—
275#2293C2211yescharacteristic
276#2293C2211yescharacteristic
277#2293C2211yescharacteristic
278#2293C2211yescharacteristic
279#2293C2212yes—
280#2293C2211yescharacteristic
281#2293C2211yescharacteristic
282#2293C2211yescharacteristic
283#2293C2212yes—
284#2293C2212yes—
285#2293C2212yescomplemented
286#2293C2212yescomplemented
287C2×#390C2211yescharacteristic
288C2×#390C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#388C2212yes—
292C2×#388C2212yes—
293#2285C2212yes—
294#2283C2212yes—
295C2×#380C2212yes—
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C22⋊C4C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#554—28no—
303#551—416no—
304#550—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2311yescharacteristic
309C2×#127C2312yes—
310C2×#127C2312yes—
311#529—48no—
312#529—48no—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326#525—48no—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×D4—28no—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
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×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2311yescharacteristic
378C2×#117—48no—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2314yes—
384C2×#117C2314yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2314yes—
388C2×#117C2314yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2312yes—
399C22×C22⋊C4C2312yes—
400C22×C22⋊C4C2312yes—
401C22×C22⋊C4C2314yes—
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2312yes—
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2312yes—
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#395C2314yes—
470#395C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#393C2314yes—
489#393C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2314yes—
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2314yes—
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#383C2312yes—
724#383C2312yes—
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2314yes—
731#382C2312yes—
732#382C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2312yes—
736#381C2312yes—
737#381C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2312yes—
764#380C2314yes—
765#379C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2312yes—
805C2×#95C2312yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C25C2412yes—
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×D4—24no—
827C22×D4—24no—
828C22×D4—42no—
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C23×C4—28no—
841C23×C4—28no—
842C23×C4—44no—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2411yescharacteristic
862C4⋊Q8—24no—
863C4⋊Q8—42no—
864C4⋊Q8—42no—
865#127—28no—
866#127—24no—
867#127—44no—
868#126—48no—
869#126—48no—
870#126—48no—
871#126—48no—
872#125—28no—
873#125—44no—
874#125—44no—
875#125—44no—
876#125—44no—
877#124—44no—
878#124—44no—
879#124—44no—
880#124—48no—
881#123—48no—
882#123—48no—
883#123—48no—
884#123—48no—
885#123—48no—
886#123—48no—
887#123—48no—
888#123—48no—
889C22⋊Q8—28no—
890C22⋊Q8—24no—
891C22⋊Q8—24no—
892C22⋊Q8—28no—
893C22⋊Q8—216no—
894C22⋊Q8—44no—
895C22⋊Q8—48no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898#121—28no—
899#121—28no—
900#121—28no—
901#121—216no—
902#121—44no—
903#121—44no—
904#121—44no—
905#120—48no—
906#120—48no—
907C4×Q8—24no—
908C4×Q8—24no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×D4—24no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—216no—
916C4×D4—24no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—24no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—48no—
927C4×D4—48no—
928C4×D4—48no—
929C4×D4—48no—
930C4×D4#4118yes—
931#117—44no—
932#117—44no—
933#117—44no—
934#117—44no—
935#117—44no—
936#117—44no—
937#117—44no—
938#117—44no—
939#117—48no—
940#117—48no—
941#117—48no—
942#117—48no—
943#117—44no—
944C2×C4⋊C4—28no—
945C2×C4⋊C4—24no—
946C2×C4⋊C4—24no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4—42no—
949C2×C4⋊C4—44no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C22⋊C4—28no—
1022C2×C22⋊C4—28no—
1023C2×C22⋊C4—44no—
1024C2×C22⋊C4—48no—
1025C2×C22⋊C4—44no—
1026C2×C22⋊C4—44no—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C42—24no—
1083C2×C42—28no—
1084C2×C42—24no—
1085C2×C42—24no—
1086C2×C42—24no—
1087C2×C42—42no—
1088C2×C42—42no—
1089C2×C42—42no—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24—24no—
1194C24—24no—
1195C24—24no—
1196C24—24no—
1197C24—42no—
1198C24—42no—
1199C24—42no—
1200C24C2512yes—
1201C24C2514yes—
1202C24C2512yes—
1203C24C2511yescharacteristic
1204#41—816no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—24no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—28no—
1220C2×D4—28no—
1221C2×D4—28no—
1222C2×D4—28no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—416no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4C2×#4114yes—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—28no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—28no—
1280C22×C4—28no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—432no—
1291C22×C4—44no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4C2×#4118yes—
1306C22×C4H(5,𝔽2)14yes—
1307C22×C4H(5,𝔽2)14yes—
1308C22×C42−1+414yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2514yes—
1318C22×C4C2512yes—
1319C22×C4C2514yes—
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2514yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—28no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—28no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4C2×#4114yes—
1410C22⋊C4—24no—
1411C22⋊C4—28no—
1412C22⋊C4—24no—
1413C22⋊C4—28no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
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—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
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⋊C4C2×#4118yes—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—28no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—24no—
1494C42—24no—
1495C42—41no—
1496C42—41no—
1497C42—41no—
1498C42—41no—
1499C42—41no—
1500C42—41no—
1501C42—44no—
1502C42—44no—
1503C42—44no—
1504C42—44no—
1505C42C2×#4114yes—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—24no—
1518C23—22no—
1519C23—24no—
1520C23—24no—
1521C23—22no—
1522C23—24no—
1523C23—22no—
1524C23—22no—
1525C23—24no—
1526C23—22no—
1527C23—24no—
1528C23—24no—
1529C23—22no—
1530C23—48no—
1531C23—48no—
1532C23—48no—
1533C23—48no—
1534C23—84no—
1535C23—84no—
1536C23—84no—
1537C23C22×#4114yes—
1538C23C2×H(5,𝔽2)12yes—
1539C23C2×H(5,𝔽2)12yes—
1540C23C2×2−1+412yes—
1541C23C2611yescharacteristic
1542Q8—44no—
1543Q8—44no—
1544Q8—84no—
1545Q8—84no—
1546D4—28no—
1547D4—48no—
1548D4—416no—
1549D4—48no—
1550D4—44no—
1551D4—48no—
1552D4—84no—
1553D4—88no—
1554D4—88no—
1555D4—88no—
1556D4—164no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—28no—
1572C2×C4—28no—
1573C2×C4—216no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—44no—
1641C2×C4—48no—
1642C2×C4—44no—
1643C2×C4—44no—
1644C2×C4—48no—
1645C2×C4—48no—
1646C2×C4—44no—
1647C2×C4—44no—
1648C2×C4—48no—
1649C2×C4—48no—
1650C2×C4—88no—
1651C2×C4—88no—
1652C2×C4—84no—
1653C2×C4—88no—
1654C2×C4—88no—
1655C2×C4—164no—
1656C2×C4C22×#4112yes—
1657C2×C4C22×#4114yes—
1658C2×C4C22×#4112yes—
1659C2×C4C22×#4112yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×H(5,𝔽2)12yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×2−1+412yes—
1665C2×C4C2×2−1+412yes—
1666C2×C4#58512yes—
1667C2×C4#58512yes—
1668C2×C4#58512yes—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—24no—
1676C22—24no—
1677C22—24no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—44no—
1683C22—42no—
1684C22—44no—
1685C22—42no—
1686C22—42no—
1687C22—44no—
1688C22—44no—
1689C22—42no—
1690C22—42no—
1691C22—44no—
1692C22—44no—
1693C22—42no—
1694C22—44no—
1695C22—42no—
1696C22—816no—
1697C22#354814yes—
1698C22C23×#4111yescharacteristic
1699C22C22×H(5,𝔽2)11yescharacteristic
1700C22C22×H(5,𝔽2)11yescharacteristic
1701C22C22×2−1+411yescharacteristic
1702C22C2×#58511yescharacteristic
1703C22C2×#58511yescharacteristic
1704C22C2×#58511yescharacteristic
1705C4—22no—
1706C4—24no—
1707C4—22no—
1708C4—22no—
1709C4—22no—
1710C4—22no—
1711C4—22no—
1712C4—41no—
1713C4—41no—
1714C4—42no—
1715C4—42no—
1716C4—44no—
1717C4—41no—
1718C4—41no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—41no—
1727C4—42no—
1728C4—44no—
1729C4—42no—
1730C4—44no—
1731C4—42no—
1732C4—42no—
1733C4—41no—
1734C4#349514yes—
1735C4#351314yes—
1736C2—24no—
1737C2—44no—
1738C2—84no—
1739C2—82no—
1740C2C2×#354811yescharacteristic
1741C2#6275911yescharacteristic
1742C2C2×#351311yescharacteristic
1743C2#6280011yescharacteristic
1744C2C2×#349511yescharacteristic
1745C2#6282211yescharacteristic
1746C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36101C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59962C2semidirect
2. #59962C2semidirect
3. #59897C2semidirect
4. #59820C2semidirect
5. #46030C2semidirect
6. #45832C2semidirect
7. #39201C2semidirect
8. #39192C2semidirect
9. #38965C2semidirect
10. #38952C2semidirect
11. #38860C2semidirect
12. #38360C2semidirect
13. #38242C2semidirect
14. #38228C2semidirect
15. #38218C2semidirect
16. #38204C2semidirect
17. #38067C2semidirect
18. #38056C2semidirect
19. #37637C2semidirect
20. #37625C2semidirect
21. #37351C2semidirect
22. #37335C2semidirect
23. #36635C2semidirect
24. #36631C2semidirect
25. #36193C2semidirect
26. #36183C2semidirect
27. #36154C2semidirect
28. #36143C2semidirect
29. #36117C2semidirect
31. #35302C2semidirect
32. #35263C2semidirect
33. #34494C2semidirect
34. #34484C2semidirect
35. C2×#2293C2semidirect
44. #2864C22semidirect
45. #2863C22semidirect
46. #2863C22semidirect
47. #2863C22semidirect
48. #2862C22semidirect
49. #2861C22semidirect
50. #2860C22semidirect
51. #2860C22semidirect
52. #2859C22semidirect
53. #2859C22semidirect
54. #2858C22semidirect
70. #2831C22semidirect
71. #2829C22semidirect
72. #2807C22semidirect
73. #2800C22semidirect
74. #2788C22semidirect
75. #2781C22semidirect
76. #2781C22semidirect
77. #2777C22semidirect
78. #2773C22semidirect
79. #2772C22semidirect
80. #2768C22semidirect
81. #2768C22semidirect
84. #2750C22semidirect
86. #2741C22semidirect
87. #2740C22semidirect
88. #2738C22semidirect
90. #2727C22semidirect
91. #2725C22semidirect
92. #2715C22semidirect
93. #2712C22semidirect
94. #2710C22semidirect
97. #2704C22semidirect
98. #2702C22semidirect
99. #2695C22semidirect
100. #2694C22semidirect
101. #2694C22semidirect
102. #2672C22semidirect
103. #2672C22semidirect
104. #2647C22semidirect
106. #2644C22semidirect
108. #2637C22semidirect
109. #2630C22semidirect
110. #2629C22semidirect
111. #2629C22semidirect
112. #2625C22semidirect
113. #2625C22semidirect
114. #2624C22semidirect
115. #2624C22semidirect
116. #2620C22semidirect
117. #2620C22semidirect
118. #2609C22semidirect
119. #2609C22semidirect
120. #2609C22semidirect
121. #2601C22semidirect
122. #2601C22semidirect
123. #2601C22semidirect
124. #2584C22semidirect
125. #2580C22semidirect
127. #2567C22semidirect
130. #2553C22semidirect
131. #2553C22semidirect
132. #2552C22semidirect
133. #2552C22semidirect
135. #2548C22semidirect
142. #2522C22semidirect
143. #2521C22semidirect
144. #2520C22semidirect
146. #2513C22semidirect
149. #2512C22semidirect
150. #2511C22semidirect
151. #2509C22semidirect
152. #2508C22semidirect
153. #2508C22semidirect
154. #2507C22semidirect
155. #2507C22semidirect
156. #2507C22semidirect
157. #2505C22semidirect
159. #2501C22semidirect
161. #2498C22semidirect
162. #2498C22semidirect
163. #2498C22semidirect
164. #2496C22semidirect
165. #2496C22semidirect
166. #2491C22semidirect
167. #2489C22semidirect
168. #2488C22semidirect
172. #2485C22semidirect
173. #2485C22semidirect
174. #2485C22semidirect
175. #2479C22semidirect
177. #2470C22semidirect
179. #2466C22semidirect
183. #2454C22semidirect
184. #2454C22semidirect
185. #2454C22semidirect
186. #2454C22semidirect
188. #2448C22semidirect
196. #2441C22semidirect
197. #2440C22semidirect
201. #2432C22semidirect
202. #2429C22semidirect
203. #2427C22semidirect
206. #2422C22semidirect
207. #2422C22semidirect
218. #2378C22semidirect
219. #2377C22semidirect
220. #2370C22semidirect
221. #2370C22semidirect
222. #2369C22semidirect
225. #2366C22semidirect
226. #2362C22semidirect
229. #2361C22semidirect
230. #2359C22semidirect
231. #2359C22semidirect
232. #2355C22semidirect
235. #2354C22semidirect
236. Q8×C4⋊C4C22semidirect
239. #2349C22semidirect
242. #2344C22semidirect
243. #2339C22semidirect
245. #2330C22semidirect
247. #2325C22semidirect
248. #2324C22semidirect
249. #2324C22semidirect
250. #2323C22semidirect
251. #2323C22semidirect
252. #2323C22semidirect
254. #2319C22semidirect
255. #2316C22semidirect
256. #2316C22semidirect
257. #2311C22semidirect
258. #2311C22semidirect
259. C4×C4⋊Q8C22semidirect
260. C4×C4⋊Q8C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×#127C22semidirect
263. C4×#125C22semidirect
264. C4×#124C22semidirect
270. #2295C22semidirect
271. #2295C22semidirect
272. #2295C22semidirect
285. #2293C22semidirect
286. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#599622
#598972
#598202
#460302
#458322
#392012
#391922
#389652
#389522
#388602
#383602
#382422
#382282
#382182
#382042
#380672
#380562
#376372
#376252
#373512
#373352
#366352
#366312
#361932
#361832
#361542
#361432
#361172
#361012
#353022
#352632
#344942
#344842
C2×#22932