Finite Group Databasebeta

← #7647635

Subgroups — #7647635

Order 512.

4990 conjugacy classes of subgroups.

The subgroup lattice has 1739 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42899C212yesmaximal, complemented
2#42868C212yesmaximal, complemented
3#42609C212yesmaximal, complemented
4#42576C212yesmaximal, complemented
5#40729C214yesmaximal, complemented
6#40697C214yesmaximal, complemented
7#40177C212yesmaximal, complemented
8#40099C212yesmaximal, complemented
9#39533C212yesmaximal, complemented
10#39226C212yesmaximal, complemented
11#38533C214yesmaximal, complemented
12#37908C214yesmaximal, complemented
13#37524C212yesmaximal, complemented
14#37520C212yesmaximal, complemented
15#37430C212yesmaximal, complemented
16#37318C212yesmaximal, complemented
17#37288C212yesmaximal, complemented
18#37286C212yesmaximal, complemented
19#35639C211yesmaximal, characteristic, complemented
20#35558C211yesmaximal, characteristic, complemented
21#35543C211yesmaximal, characteristic, complemented
22#35531C211yesmaximal, characteristic, complemented
23#35333C211yesmaximal, characteristic, complemented
24#35265C211yesmaximal, characteristic, complemented
25#35256C211yesmaximal, characteristic
26#35255C211yesmaximal, characteristic, complemented
27#35254C211yesmaximal, characteristic, complemented
28#35152C211yesmaximal, characteristic, complemented
29#35082C212yesmaximal, complemented
30#35024C212yesmaximal, complemented
31#34816C211yesmaximal, characteristic, complemented
32C2×#2454C211yesmaximal, characteristic, complemented
33#34267C211yesmaximal, characteristic, complemented
34C4⋊C4×#41C211yesmaximal, characteristic, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45#2864C2212yescomplemented
46#2859C2212yescomplemented
47#2856C2212yes—
48#2855C2212yescomplemented
49#2854C2212yes—
50#2854C2212yes—
51#2854C2212yescomplemented
52#2851C2212yescomplemented
53#2851C2212yescomplemented
54#2850C2212yes—
55#2849C2214yes—
56#2837C2214yescomplemented
57#2837C2214yescomplemented
58#2827C2214yescomplemented
59#2827C2214yescomplemented
60#2796C2214yescomplemented
61#2796C2214yescomplemented
62#2796C2214yescomplemented
63#2790C2214yescomplemented
64#2787C2214yescomplemented
65#2783C2214yescomplemented
66#2782C2214yescomplemented
67#2781C2214yescomplemented
68#2781C2214yescomplemented
69#2777C2214yescomplemented
70#2773C2214yescomplemented
71#2771C2214yescomplemented
72#2757C2214yescomplemented
73#2746C2214yescomplemented
74#2744C2214yescomplemented
75#2743C2214yescomplemented
76#2740C2214yescomplemented
77#2721C2214yescomplemented
78#2718C2214yescomplemented
79#2718C2214yescomplemented
80#2711C2214yescomplemented
81#2711C2214yescomplemented
82#2708C2214yescomplemented
83#2708C2214yescomplemented
84#2707C2214yescomplemented
85#2705C2214yescomplemented
86#2705C2214yescomplemented
87#2695C2214yescomplemented
88#2694C2214yescomplemented
89#2694C2214yescomplemented
90#2693C2214yescomplemented
91#2693C2214yescomplemented
92#2667C2214yescomplemented
93#2664C2214yescomplemented
94#2654C2214yescomplemented
95#2652C2214yescomplemented
96#2651C2214yescomplemented
97#2651C2214yescomplemented
98#2647C2212yescomplemented
99#2647C2212yescomplemented
100#2643C2214yescomplemented
101#2636C2214yescomplemented
102#2636C2214yescomplemented
103#2630C2214yescomplemented
104#2630C2214yescomplemented
105#2629C2212yescomplemented
106#2629C2212yescomplemented
107#2625C2212yescomplemented
108#2624C2212yes—
109#2624C2212yes—
110#2624C2212yescomplemented
111#2623C2214yescomplemented
112#2622C2214yes—
113#2620C2212yes—
114#2619C2212yes—
115#2596C2214yescomplemented
116#2594C2214yescomplemented
117#2579C2214yes—
118#2579C2214yes—
119#2579C2214yes—
120#2577C2214yescomplemented
121#2575C2214yescomplemented
122#2571C2212yescomplemented
123#2570C2212yescomplemented
124#2570C2212yescomplemented
125#2566C2212yescomplemented
126#2566C2212yescomplemented
127#2565C2212yescomplemented
128#2565C2212yescomplemented
129#2553C2214yescomplemented
130#2553C2214yescomplemented
131#2552C2212yescomplemented
132#2514C2211yescharacteristic, complemented
133#2514C2211yescharacteristic, complemented
134#2513C2212yes—
135#2513C2212yes—
136#2513C2212yes—
137#2513C2212yes—
138#2513C2211yescharacteristic, complemented
139#2513C2211yescharacteristic, complemented
140#2512C2212yes—
141#2512C2212yes—
142#2512C2212yes—
143#2512C2212yes—
144#2512C2211yescharacteristic, complemented
145#2512C2211yescharacteristic, complemented
146#2511C2211yescharacteristic, complemented
147#2511C2211yescharacteristic, complemented
148#2510C2212yes—
149#2510C2212yes—
150#2509C2212yescomplemented
151#2509C2212yescomplemented
152#2508C2212yescomplemented
153#2508C2212yescomplemented
154#2507C2212yescomplemented
155#2507C2212yescomplemented
156#2506C2212yescomplemented
157#2506C2212yescomplemented
158#2505C2214yes—
159#2505C2214yes—
160#2504C2212yes—
161#2501C2212yes—
162#2500C2212yes—
163#2500C2212yes—
164#2487C2214yes—
165#2481C2212yes—
166#2481C2212yes—
167#2480C2214yes—
168#2480C2214yes—
169#2473C2214yes—
170#2473C2214yes—
171#2466C2214yescomplemented
172#2460C2214yescomplemented
173#2454C2212yes—
174#2454C2212yes—
175#2454C2212yes—
176#2454C2212yes—
177#2454C2212yes—
178#2454C2212yes—
179#2454C2212yes—
180#2454C2212yes—
181#2454C2212yescomplemented
182#2454C2212yescomplemented
183#2453C2212yescomplemented
184#2453C2212yescomplemented
185#2448C2212yes—
186#2448C2212yes—
187#2448C2212yes—
188#2448C2212yes—
189#2447C2212yes—
190#2447C2212yes—
191#2445C2212yes—
192#2445C2212yes—
193#2445C2212yes—
194#2445C2212yes—
195#2445C2212yes—
196#2445C2212yes—
197#2444C2214yes—
198#2443C2214yes—
199#2443C2214yescomplemented
200#2443C2214yescomplemented
201#2442C2212yescomplemented
202#2442C2212yescomplemented
203#2441C2212yescomplemented
204#2441C2212yescomplemented
205#2428C2212yes—
206#2428C2212yes—
207#2426C2212yes—
208#2426C2212yes—
209#2425C2214yescomplemented
210#2425C2214yescomplemented
211#2424C2214yes—
212#2424C2214yes—
213#2423C2212yescomplemented
214#2422C2212yes—
215#2422C2212yes—
216#2422C2212yescomplemented
217#2421C2212yescomplemented
218#2420C2212yes—
219#2420C2212yes—
220#2420C2212yescomplemented
221#2418C2214yes—
222#2418C2214yes—
223#2418C2214yes—
224#2418C2214yes—
225#2401C2212yescomplemented
226#2401C2212yescomplemented
227C2×#399C2212yes—
228C2×#396C2212yes—
229#2364C2214yes—
230#2363C2212yescomplemented
231#2362C2212yescomplemented
232#2361C2214yes—
233#2361C2212yescomplemented
234#2360C2212yescomplemented
235#2351C2211yescharacteristic, complemented
236#2351C2211yescharacteristic, complemented
237Q8×C4⋊C4C2211yescharacteristic, complemented
238Q8×C4⋊C4C2211yescharacteristic, complemented
239#2349C2212yes—
240#2349C2212yes—
241#2349C2211yescharacteristic, complemented
242#2349C2211yescharacteristic, complemented
243D4×C4⋊C4C2212yes—
244D4×C4⋊C4C2212yes—
245D4×C4⋊C4C2211yescharacteristic, complemented
246D4×C4⋊C4C2211yescharacteristic, complemented
247#2335C2214yescomplemented
248#2335C2214yescomplemented
249#2328C2212yes—
250#2326C2212yes—
251#2324C2212yes—
252#2324C2212yes—
253#2324C2212yescomplemented
254#2323C2212yescomplemented
255#2322C2214yescomplemented
256#2321C2214yes—
257#2318C2214yescomplemented
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2316C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2309C2211yescharacteristic
268#2309C2211yescharacteristic
269C4×#127C2212yes—
270C4×#126C2212yescomplemented
271C4×#126C2212yescomplemented
272C4×#124C2212yes—
273C4×C22⋊Q8C2212yescomplemented
274C4×#121C2212yes—
275C4×#121C2212yes—
276C4×#121C2212yescomplemented
277C4×#120C2214yes—
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2212yescomplemented
285#2296C2212yescomplemented
286C2×#390C2211yescharacteristic
287C2×#390C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#385C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2212yescomplemented
294C2×#380C2212yes—
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yescomplemented
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#537—28no—
304#535—28no—
305#535—44no—
306C2×#127C2312yes—
307C2×#127C2312yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125—44no—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341#520—44no—
342C4×#41—28no—
343C4×#41—44no—
344C4×#41—44no—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×D4—44no—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2312yes—
399C22×C22⋊C4C2312yes—
400C22×C22⋊C4C2312yes—
401C22×C42C2312yes—
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405C22×C42C2312yes—
406C22×C42C2312yes—
407#401C2312yes—
408#401C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#392C2314yes—
510#392C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2311yescharacteristic
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2312yes—
546#390C2312yes—
547#390C2311yescharacteristic
548#390C2312yes—
549#390C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
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#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2314yes—
598#389C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
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#388C2314yes—
630#388C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
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#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2314yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#385C2312yes—
709#385C2312yes—
710#385C2314yes—
711#385C2312yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#384C2312yes—
716#384C2312yes—
717#384C2312yes—
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#383C2312yes—
727#383C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2311yescharacteristic
731#382C2312yes—
732#382C2311yescharacteristic
733#382C2314yes—
734#382C2312yes—
735#382C2312yes—
736#382C2314yes—
737#382C2311yescharacteristic
738#382C2311yescharacteristic
739#382C2312yes—
740#382C2312yes—
741#381C2314yes—
742#381C2314yes—
743#381C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#379C2314yes—
766#379C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C43C2312yes—
819C25C2412yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41#4118yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×D4—24no—
829C22×D4—24no—
830C22×D4—24no—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C23×C4—44no—
843C23×C4—44no—
844C23×C4—82no—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2411yescharacteristic
866#127—28no—
867#127—44no—
868#126—44no—
869#126—44no—
870#126—84no—
871#126—84no—
872#125—44no—
873#125—44no—
874#125—44no—
875#125—44no—
876#125—84no—
877#125—84no—
878#124—28no—
879#124—44no—
880#123—48no—
881#123—48no—
882#123—48no—
883#123—84no—
884#123—84no—
885#123—84no—
886#123—84no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889#121—28no—
890#121—216no—
891#121—28no—
892#121—28no—
893#121—28no—
894#121—44no—
895#121—44no—
896#121—84no—
897#121—84no—
898#120—216no—
899#120—48no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—42no—
903C4×Q8—42no—
904C4×Q8—42no—
905C4×Q8—42no—
906C4×Q8—44no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—42no—
916C4×D4—42no—
917C4×D4—42no—
918C4×D4—42no—
919C4×D4—44no—
920C4×D4—48no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—48no—
926C4×D4—84no—
927C4×D4—84no—
928#117—28no—
929#117—24no—
930#117—24no—
931#117—24no—
932#117—24no—
933#117—24no—
934#117—24no—
935#117—44no—
936#117—44no—
937#117—44no—
938C2×C4⋊C4—24no—
939C2×C4⋊C4—24no—
940C2×C4⋊C4—24no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4—44no—
943C2×C4⋊C4—42no—
944C2×C4⋊C4—42no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4—44no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4—82no—
949C2×C4⋊C4—82no—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C22⋊C4—44no—
1025C2×C22⋊C4—44no—
1026C2×C22⋊C4—82no—
1027C2×C22⋊C4—82no—
1028C2×C22⋊C4—82no—
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⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C42—28no—
1085C2×C42—24no—
1086C2×C42—24no—
1087C2×C42—24no—
1088C2×C42—44no—
1089C2×C42—44no—
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2414yes—
1118C2×C42C2412yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2414yes—
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2412yes—
1128#95C2412yes—
1129#95C2411yescharacteristic
1130#95C2412yes—
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
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—
1187#95C2414yes—
1188#95C2414yes—
1189C24—24no—
1190C24—24no—
1191C24—24no—
1192C24—42no—
1193C24—42no—
1194C24—42no—
1195C24—42no—
1196C24C2514yes—
1197C24C2512yes—
1198C24C2512yes—
1199C24C2511yescharacteristic
1200#41—232no—
1201#41—416no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8C2×#4114yes—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—28no—
1216C2×D4—24no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—22no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—416no—
1240C2×D4C2×#4118yes—
1241C2×D4C2×#4114yes—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—24no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—28no—
1263C22×C4—42no—
1264C22×C4—41no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—44no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—816no—
1302C22×C4C2×#4118yes—
1303C22×C4C2×#4114yes—
1304C22×C4H(5,𝔽2)14yes—
1305C22×C42−1+414yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2514yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2514yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2514yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—28no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—41no—
1366C4⋊C4—42no—
1367C4⋊C4—41no—
1368C4⋊C4—42no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C42—22no—
1467C42—24no—
1468C42—22no—
1469C42—24no—
1470C42—22no—
1471C42—24no—
1472C42—22no—
1473C42—24no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—24no—
1483C42—24no—
1484C42—24no—
1485C42—24no—
1486C42—24no—
1487C42—42no—
1488C42—42no—
1489C42—42no—
1490C42—42no—
1491C42—44no—
1492C42—42no—
1493C42—44no—
1494C42—42no—
1495C42—44no—
1496C42—42no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—24no—
1509C23—24no—
1510C23—22no—
1511C23—22no—
1512C23—24no—
1513C23—22no—
1514C23—24no—
1515C23—22no—
1516C23—24no—
1517C23—24no—
1518C23—22no—
1519C23—24no—
1520C23—22no—
1521C23—48no—
1522C23—48no—
1523C23—48no—
1524C23—84no—
1525C23—84no—
1526C23—84no—
1527C23—84no—
1528C23C22×#4114yes—
1529C23C22×#4112yes—
1530C23C2×H(5,𝔽2)12yes—
1531C23C2×2−1+412yes—
1532C23C2611yescharacteristic
1533Q8—28no—
1534Q8—44no—
1535D4—216no—
1536D4—28no—
1537D4—48no—
1538D4—48no—
1539D4—48no—
1540D4—44no—
1541D4—88no—
1542D4—88no—
1543D4—88no—
1544D4—164no—
1545D4—164no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—216no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—24no—
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—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—24no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—44no—
1632C2×C4—48no—
1633C2×C4—44no—
1634C2×C4—48no—
1635C2×C4—48no—
1636C2×C4—84no—
1637C2×C4—88no—
1638C2×C4—82no—
1639C2×C4—84no—
1640C2×C4—84no—
1641C2×C4—82no—
1642C2×C4—82no—
1643C2×C4—82no—
1644C2×C4—84no—
1645C2×C4—84no—
1646C2×C4—84no—
1647C2×C4—84no—
1648C2×C4—88no—
1649C2×C4—164no—
1650C2×C4#539116yes—
1651C2×C4C22×#4114yes—
1652C2×C4C22×#4112yes—
1653C2×C4C22×#4112yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C2×C4C2×H(5,𝔽2)12yes—
1656C2×C4C2×2−1+412yes—
1657C2×C4C2×2−1+412yes—
1658C2×C4#58512yes—
1659C2×C4#58512yes—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—24no—
1667C22—24no—
1668C22—24no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—44no—
1674C22—42no—
1675C22—42no—
1676C22—44no—
1677C22—44no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—44no—
1682C22—44no—
1683C22—42no—
1684C22—44no—
1685C22—42no—
1686C22—44no—
1687C22—816no—
1688C22C2×#53914yes—
1689C22C23×#4111yescharacteristic
1690C22C22×H(5,𝔽2)11yescharacteristic
1691C22C22×2−1+411yescharacteristic
1692C22C2×#58511yescharacteristic
1693C22C2×#58511yescharacteristic
1694C22H(7,𝔽2)11yescharacteristic
1695C22H(7,𝔽2)11yescharacteristic
1696C4—22no—
1697C4—22no—
1698C4—24no—
1699C4—42no—
1700C4—41no—
1701C4—42no—
1702C4—41no—
1703C4—42no—
1704C4—41no—
1705C4—44no—
1706C4—42no—
1707C4—44no—
1708C4—41no—
1709C4—41no—
1710C4—42no—
1711C4—41no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—44no—
1723C4—42no—
1724C4—42no—
1725C4C2×#53914yes—
1726C4C2×#53914yes—
1727C2—24no—
1728C2—44no—
1729C2—82no—
1730C2—84no—
1731C2C22×#53911yescharacteristic
1732C2#6281011yescharacteristic
1733C2#6285811yescharacteristic
1734C2#6292411yescharacteristic
1735C2#6292611yescharacteristic
1736C2#6292611yescharacteristic
1737C2#6295511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35256C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42899C2semidirect
2. #42868C2semidirect
3. #42609C2semidirect
4. #42576C2semidirect
5. #40729C2semidirect
6. #40697C2semidirect
7. #40177C2semidirect
8. #40099C2semidirect
9. #39533C2semidirect
10. #39226C2semidirect
11. #38533C2semidirect
12. #37908C2semidirect
13. #37524C2semidirect
14. #37520C2semidirect
15. #37430C2semidirect
16. #37318C2semidirect
17. #37288C2semidirect
18. #37286C2semidirect
19. #35639C2semidirect
20. #35558C2semidirect
21. #35543C2semidirect
22. #35531C2semidirect
23. #35333C2semidirect
24. #35265C2semidirect
26. #35255C2semidirect
27. #35254C2semidirect
28. #35152C2semidirect
29. #35082C2semidirect
30. #35024C2semidirect
31. #34816C2semidirect
32. C2×#2454C2semidirect
33. #34267C2semidirect
34. C4⋊C4×#41C2semidirect
35. C4×#535C2semidirect
45. #2864C22semidirect
46. #2859C22semidirect
48. #2855C22semidirect
51. #2854C22semidirect
52. #2851C22semidirect
53. #2851C22semidirect
56. #2837C22semidirect
57. #2837C22semidirect
58. #2827C22semidirect
59. #2827C22semidirect
60. #2796C22semidirect
61. #2796C22semidirect
62. #2796C22semidirect
63. #2790C22semidirect
64. #2787C22semidirect
65. #2783C22semidirect
66. #2782C22semidirect
67. #2781C22semidirect
68. #2781C22semidirect
69. #2777C22semidirect
70. #2773C22semidirect
71. #2771C22semidirect
72. #2757C22semidirect
73. #2746C22semidirect
74. #2744C22semidirect
75. #2743C22semidirect
76. #2740C22semidirect
77. #2721C22semidirect
78. #2718C22semidirect
79. #2718C22semidirect
80. #2711C22semidirect
81. #2711C22semidirect
82. #2708C22semidirect
83. #2708C22semidirect
84. #2707C22semidirect
85. #2705C22semidirect
86. #2705C22semidirect
87. #2695C22semidirect
88. #2694C22semidirect
89. #2694C22semidirect
90. #2693C22semidirect
91. #2693C22semidirect
92. #2667C22semidirect
93. #2664C22semidirect
94. #2654C22semidirect
95. #2652C22semidirect
96. #2651C22semidirect
97. #2651C22semidirect
98. #2647C22semidirect
99. #2647C22semidirect
100. #2643C22semidirect
101. #2636C22semidirect
102. #2636C22semidirect
103. #2630C22semidirect
104. #2630C22semidirect
105. #2629C22semidirect
106. #2629C22semidirect
107. #2625C22semidirect
110. #2624C22semidirect
111. #2623C22semidirect
115. #2596C22semidirect
116. #2594C22semidirect
120. #2577C22semidirect
121. #2575C22semidirect
122. #2571C22semidirect
123. #2570C22semidirect
124. #2570C22semidirect
125. #2566C22semidirect
126. #2566C22semidirect
127. #2565C22semidirect
128. #2565C22semidirect
129. #2553C22semidirect
130. #2553C22semidirect
131. #2552C22semidirect
132. #2514C22semidirect
133. #2514C22semidirect
138. #2513C22semidirect
139. #2513C22semidirect
144. #2512C22semidirect
145. #2512C22semidirect
146. #2511C22semidirect
147. #2511C22semidirect
150. #2509C22semidirect
151. #2509C22semidirect
152. #2508C22semidirect
153. #2508C22semidirect
154. #2507C22semidirect
155. #2507C22semidirect
156. #2506C22semidirect
157. #2506C22semidirect
171. #2466C22semidirect
172. #2460C22semidirect
181. #2454C22semidirect
182. #2454C22semidirect
183. #2453C22semidirect
184. #2453C22semidirect
199. #2443C22semidirect
200. #2443C22semidirect
201. #2442C22semidirect
202. #2442C22semidirect
203. #2441C22semidirect
204. #2441C22semidirect
209. #2425C22semidirect
210. #2425C22semidirect
213. #2423C22semidirect
216. #2422C22semidirect
217. #2421C22semidirect
220. #2420C22semidirect
225. #2401C22semidirect
226. #2401C22semidirect
230. #2363C22semidirect
231. #2362C22semidirect
233. #2361C22semidirect
234. #2360C22semidirect
235. #2351C22semidirect
236. #2351C22semidirect
237. Q8×C4⋊C4C22semidirect
238. Q8×C4⋊C4C22semidirect
241. #2349C22semidirect
242. #2349C22semidirect
245. D4×C4⋊C4C22semidirect
246. D4×C4⋊C4C22semidirect
247. #2335C22semidirect
248. #2335C22semidirect
253. #2324C22semidirect
254. #2323C22semidirect
255. #2322C22semidirect
257. #2318C22semidirect
270. C4×#126C22semidirect
271. C4×#126C22semidirect
273. C4×C22⋊Q8C22semidirect
276. C4×#121C22semidirect
284. #2296C22semidirect
285. #2296C22semidirect
293. #2285C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#428992
#428682
#426092
#425762
#407292
#406972
#401772
#400992
#395332
#392262
#385332
#379082
#375242
#375202
#374302
#373182
#372882
#372862
#356392
#355582
#355432
#355312
#353332
#352652
#352562
#352552
#352542
#351522
#350822
#350242
#348162
C2×#24542
#342672
C4⋊C4×#412
C4×#5352