Finite Group Databasebeta

← #7987152

Subgroups — #7987152

Order 512.

5136 conjugacy classes of subgroups.

The subgroup lattice has 1745 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59479C212yesmaximal, complemented
2#59437C211yesmaximal, characteristic, complemented
3#59230C211yesmaximal, characteristic, complemented
4#59213C211yesmaximal, characteristic, complemented
5#59204C212yesmaximal, complemented
6#49950C214yesmaximal, complemented
7#48354C214yesmaximal, complemented
8#46171C214yesmaximal, complemented
9#45159C212yesmaximal, complemented
10#45118C212yesmaximal, complemented
11#45108C212yesmaximal, complemented
12#45079C212yesmaximal, complemented
13#42957C212yesmaximal, complemented
14#42946C212yesmaximal, complemented
15#42640C212yesmaximal, complemented
16#42633C212yesmaximal, complemented
17#39377C211yesmaximal, characteristic, complemented
18#39369C211yesmaximal, characteristic, complemented
19#39350C211yesmaximal, characteristic, complemented
20#38920C211yesmaximal, characteristic, complemented
21#38813C214yesmaximal, complemented
22#38200C212yesmaximal, complemented
23#37858C212yesmaximal, complemented
24#36517C212yesmaximal, complemented
25#36481C211yesmaximal, characteristic, complemented
26#36452C212yesmaximal, complemented
27#36194C211yesmaximal, characteristic, complemented
28#36153C211yesmaximal, characteristic, complemented
29#35253C212yesmaximal, complemented
30#35170C212yesmaximal, complemented
31#34797C211yesmaximal, characteristic, complemented
32#34700C211yesmaximal, characteristic, complemented
33#34480C211yesmaximal, characteristic, complemented
34#34383C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#547C2211yescharacteristic
38C2×#546C2212yes—
39C2×#544C2212yescomplemented
40C2×#542C2212yes—
41C2×#542C2212yes—
42C2×#529C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44C22×#117C2212yes—
45#2868C2211yescharacteristic, complemented
46#2863C2212yescomplemented
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic, complemented
49#2857C2214yescomplemented
50#2854C2214yescomplemented
51#2851C2214yescomplemented
52#2847C2212yes—
53#2838C2214yescomplemented
54#2836C2214yescomplemented
55#2791C2214yescomplemented
56#2787C2214yescomplemented
57#2784C2214yes—
58#2767C2214yescomplemented
59#2746C2214yescomplemented
60#2745C2214yes—
61#2743C2214yes—
62#2740C2214yes—
63#2739C2214yescomplemented
64#2738C2214yescomplemented
65#2737C2214yes—
66#2737C2214yescomplemented
67#2723C2214yescomplemented
68#2720C2214yescomplemented
69#2718C2214yescomplemented
70#2718C2214yescomplemented
71#2717C2214yescomplemented
72#2716C2214yescomplemented
73#2708C2214yes—
74#2708C2214yescomplemented
75#2707C2214yescomplemented
76#2706C2214yes—
77#2706C2214yescomplemented
78#2698C2214yescomplemented
79#2696C2214yescomplemented
80#2695C2214yes—
81#2687C2214yes—
82#2685C2214yes—
83#2684C2214yes—
84#2681C2214yes—
85#2677C2214yescomplemented
86#2676C2214yes—
87#2674C2214yescomplemented
88#2667C2214yescomplemented
89#2666C2214yescomplemented
90#2663C2214yescomplemented
91#2663C2214yescomplemented
92#2629C2214yes—
93#2628C2214yes—
94#2628C2212yescomplemented
95#2628C2212yescomplemented
96#2625C2212yescomplemented
97#2624C2212yescomplemented
98#2606C2214yescomplemented
99#2578C2214yescomplemented
100#2577C2214yescomplemented
101#2577C2214yescomplemented
102#2575C2214yescomplemented
103#2574C2214yescomplemented
104#2573C2214yescomplemented
105#2572C2214yescomplemented
106#2571C2212yescomplemented
107#2563C2212yes—
108#2563C2212yes—
109#2563C2212yescomplemented
110#2560C2214yescomplemented
111#2553C2214yes—
112#2553C2214yescomplemented
113#2552C2211yescharacteristic, complemented
114#2551C2211yescharacteristic, complemented
115#2551C2212yescomplemented
116#2547C2212yes—
117#2547C2211yescharacteristic
118#2547C2212yescomplemented
119#2546C2211yescharacteristic, complemented
120#2542C2212yes—
121#2542C2212yescomplemented
122#2539C2214yes—
123#2538C2212yes—
124#2538C2211yescharacteristic, complemented
125#2537C2212yes—
126#2537C2211yescharacteristic
127#2534C2214yes—
128#2531C2212yescomplemented
129#2529C2212yescomplemented
130#2522C2214yes—
131#2521C2214yescomplemented
132#2521C2214yescomplemented
133#2518C2212yes—
134#2517C2214yescomplemented
135#2516C2214yescomplemented
136#2514C2212yescomplemented
137#2512C2211yescharacteristic, complemented
138#2510C2214yescomplemented
139#2508C2212yescomplemented
140#2507C2211yescharacteristic, complemented
141#2507C2212yescomplemented
142#2506C2212yescomplemented
143#2501C2212yescomplemented
144#2500C2211yescharacteristic
145#2497C2212yes—
146#2497C2212yescomplemented
147#2496C2212yescomplemented
148#2496C2214yescomplemented
149#2496C2212yescomplemented
150#2496C2212yescomplemented
151#2495C2212yescomplemented
152#2495C2211yescharacteristic, complemented
153#2494C2212yescomplemented
154#2492C2212yes—
155#2492C2212yescomplemented
156#2492C2212yescomplemented
157#2491C2214yescomplemented
158#2491C2212yescomplemented
159#2490C2211yescharacteristic, complemented
160#2489C2212yescomplemented
161#2487C2212yescomplemented
162#2486C2212yes—
163#2486C2212yescomplemented
164#2486C2212yescomplemented
165#2485C2211yescharacteristic
166#2485C2212yescomplemented
167#2480C2214yes—
168#2480C2212yes—
169#2479C2214yes—
170#2479C2214yescomplemented
171#2472C2214yes—
172#2471C2214yes—
173#2471C2214yescomplemented
174#2468C2212yes—
175#2468C2214yescomplemented
176#2467C2212yes—
177#2460C2214yescomplemented
178#2457C2212yes—
179#2454C2211yescharacteristic
180#2452C2212yes—
181#2451C2212yescomplemented
182#2447C2212yes—
183#2447C2211yescharacteristic
184#2446C2212yescomplemented
185#2442C2211yescharacteristic
186#2442C2212yescomplemented
187#2442C2212yescomplemented
188#2441C2212yes—
189#2441C2211yescharacteristic
190#2441C2212yescomplemented
191#2440C2212yescomplemented
192#2440C2212yescomplemented
193#2440C2212yescomplemented
194#2439C2212yes—
195#2439C2212yes—
196#2439C2212yescomplemented
197#2438C2214yescomplemented
198#2438C2214yescomplemented
199#2437C2214yes—
200#2437C2214yes—
201#2435C2211yescharacteristic
202#2432C2212yes—
203#2429C2212yes—
204#2427C2214yes—
205#2427C2212yes—
206#2427C2211yescharacteristic
207#2425C2214yes—
208#2423C2212yes—
209#2423C2212yescomplemented
210#2422C2212yes—
211#2420C2211yescharacteristic
212#2420C2212yescomplemented
213#2418C2212yes—
214#2417C2212yes—
215#2417C2212yes—
216#2417C2211yescharacteristic
217#2416C2212yes—
218#2414C2211yescharacteristic
219#2414C2212yescomplemented
220#2412C2214yes—
221#2408C2211yescharacteristic
222#2407C2212yes—
223#2395C2212yes—
224#2395C2212yes—
225#2392C2212yes—
226#2392C2212yes—
227#2376C2214yescomplemented
228#2376C2214yescomplemented
229#2370C2212yescomplemented
230#2370C2212yescomplemented
231#2369C2212yescomplemented
232#2368C2214yescomplemented
233#2367C2212yes—
234#2367C2212yes—
235#2365C2211yescharacteristic, complemented
236#2363C2212yes—
237#2363C2212yescomplemented
238#2361C2212yes—
239#2360C2212yescomplemented
240#2355C2211yescharacteristic, complemented
241#2355C2212yescomplemented
242#2354C2211yescharacteristic
243#2354C2212yes—
244#2354C2211yescharacteristic
245#2354C2212yescomplemented
246#2352C2212yes—
247#2352C2212yes—
248#2352C2212yescomplemented
249Q8×C4⋊C4C2211yescharacteristic, complemented
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic, complemented
254#2347C2212yes—
255#2345C2212yescomplemented
256#2345C2212yescomplemented
257#2345C2212yescomplemented
258#2344C2212yes—
259#2342C2214yes—
260#2341C2212yes—
261#2339C2212yes—
262D4×C22⋊C4C2212yes—
263#2335C2214yescomplemented
264#2334C2214yescomplemented
265#2324C2212yes—
266#2324C2212yescomplemented
267#2323C2212yescomplemented
268#2323C2212yescomplemented
269#2317C2212yescomplemented
270#2317C2212yescomplemented
271#2316C2212yescomplemented
272#2314C2212yescomplemented
273#2311C2212yes—
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2212yescomplemented
276C4×#125C2211yescharacteristic, complemented
277C4×#126C2212yescomplemented
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×#123C2214yescomplemented
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic, complemented
284C4×#120C2212yes—
285#2293C2212yes—
286#2293C2211yescharacteristic
287#2293C2212yescomplemented
288#2293C2211yescharacteristic, complemented
289#2290C2214yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic, complemented
292#2285C2211yescharacteristic, complemented
293#2280C2212yes—
294#2280C2212yes—
295C2×#380C2212yes—
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#553—48no—
303#547—28no—
304#546—48no—
305#544—48no—
306#542—48no—
307#542—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316#529—28no—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#120C2314yes—
359C2×#120C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×D4—28no—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×#117—48no—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2314yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2314yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2314yes—
405C22×C22⋊C4C2314yes—
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2314yes—
409#401C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2314yes—
421#400C2312yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2312yes—
427#399C2314yes—
428#399C2314yes—
429#399C2312yes—
430#399C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2312yes—
444#398C2312yes—
445#398C2312yes—
446#398C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#396C2312yes—
468#396C2314yes—
469#396C2312yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2312yes—
495#394C2312yes—
496#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#392C2312yes—
509#392C2312yes—
510#392C2314yes—
511#391C2314yes—
512#391C2311yescharacteristic
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2314yes—
523#391C2311yescharacteristic
524#390C2314yes—
525#390C2314yes—
526#390C2314yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2314yes—
532#390C2311yescharacteristic
533#390C2314yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2314yes—
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2312yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2311yescharacteristic
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2311yescharacteristic
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
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#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2312yes—
686#385C2314yes—
687#385C2312yes—
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2314yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#383C2312yes—
700#383C2314yes—
701#383C2314yes—
702#382C2311yescharacteristic
703#382C2314yes—
704#382C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2312yes—
710#382C2311yescharacteristic
711#381C2312yes—
712#381C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2312yes—
717#380C2311yescharacteristic
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2311yescharacteristic
757#379C2314yes—
758#379C2312yes—
759#379C2312yes—
760#379C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815#376C2312yes—
816C2×#95C2314yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C25C2412yes—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×Q8C2414yes—
827C22×D4—24no—
828C22×D4—24no—
829C22×D4—42no—
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C23×C4—28no—
842C23×C4—28no—
843C23×C4—44no—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2411yescharacteristic
859C23×C4C2414yes—
860C23×C4C2414yes—
861C4⋊Q8—24no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865C4⋊Q8—48no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868C4⋊Q8—44no—
869#126—28no—
870#126—48no—
871#126—48no—
872#126—44no—
873#126—48no—
874#125—24no—
875#125—24no—
876#125—28no—
877#125—48no—
878#124—24no—
879#124—24no—
880#124—28no—
881#124—48no—
882#124—48no—
883#123—28no—
884#123—216no—
885#123—48no—
886#123—48no—
887#123—48no—
888#123—48no—
889#123—48no—
890C22⋊Q8—24no—
891C22⋊Q8—28no—
892C22⋊Q8—48no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897C22⋊Q8—42no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901#121—24no—
902#121—24no—
903#121—28no—
904#121—28no—
905#121—24no—
906#121—24no—
907#121—48no—
908#121—48no—
909#121—44no—
910#120—44no—
911#120—48no—
912C4×Q8—24no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×D4—24no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—28no—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—44no—
926C4×D4—42no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—42no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—48no—
934C4×D4#4118yes—
935#117—28no—
936#117—24no—
937#117—24no—
938#117—28no—
939#117—44no—
940#117—44no—
941#117—44no—
942#117—48no—
943#117—48no—
944#117—44no—
945#117—44no—
946#117—44no—
947C2×C4⋊C4—28no—
948C2×C4⋊C4—24no—
949C2×C4⋊C4—28no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C22⋊C4—28no—
1024C2×C22⋊C4—48no—
1025C2×C22⋊C4—48no—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C42—24no—
1091C2×C42—24no—
1092C2×C42—48no—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2414yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2414yes—
1122C2×C42C2411yescharacteristic
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2411yescharacteristic
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189C24—24no—
1190C24—24no—
1191C24—24no—
1192C24—42no—
1193C24—42no—
1194C24—42no—
1195C24—42no—
1196C24C2512yes—
1197C24C2511yescharacteristic
1198C24C2512yes—
1199C24C2512yes—
1200C24C2511yescharacteristic
1201#41—816no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—22no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—44no—
1209C2×Q8—44no—
1210C2×Q8—44no—
1211C2×Q8—44no—
1212C2×Q8—44no—
1213C2×Q8—44no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—28no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—41no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—416no—
1246C2×D4C2×#4114yes—
1247C2×D4H(5,𝔽2)14yes—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—28no—
1255C22×C4—28no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—28no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—432no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4C2×#4118yes—
1299C22×C42−1+414yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2514yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2514yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2514yes—
1321C22×C4C2514yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—28no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—28no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—28no—
1350C4⋊C4—22no—
1351C4⋊C4—28no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—28no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—41no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
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⋊C4C2×#4114yes—
1399C4⋊C4H(5,𝔽2)14yes—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—22no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—28no—
1418C22⋊C4—24no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—22no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4C2×#4118yes—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—24no—
1471C42—24no—
1472C42—28no—
1473C42—24no—
1474C42—22no—
1475C42—22no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—22no—
1480C42—24no—
1481C42—22no—
1482C42—22no—
1483C42—44no—
1484C42—44no—
1485C42—41no—
1486C42—42no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42—42no—
1493C42C2×#4114yes—
1494C23—22no—
1495C23—21no—
1496C23—22no—
1497C23—21no—
1498C23—21no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—21no—
1506C23—21no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—21no—
1512C23—22no—
1513C23—21no—
1514C23—22no—
1515C23—21no—
1516C23—21no—
1517C23—22no—
1518C23—21no—
1519C23—22no—
1520C23—22no—
1521C23—21no—
1522C23—22no—
1523C23—21no—
1524C23—22no—
1525C23—21no—
1526C23—48no—
1527C23—48no—
1528C23—48no—
1529C23—84no—
1530C23—84no—
1531C23—84no—
1532C23—84no—
1533C23C22×#4114yes—
1534C23C2×H(5,𝔽2)14yes—
1535C23C2×2−1+412yes—
1536C23C2611yescharacteristic
1537Q8—44no—
1538Q8—48no—
1539Q8—164no—
1540Q8—164no—
1541D4—28no—
1542D4—28no—
1543D4—44no—
1544D4—48no—
1545D4—44no—
1546D4—84no—
1547D4—84no—
1548D4—88no—
1549D4—84no—
1550D4—84no—
1551D4—88no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—28no—
1563C2×C4—216no—
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—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
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—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—24no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—48no—
1634C2×C4—48no—
1635C2×C4—48no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—48no—
1639C2×C4—44no—
1640C2×C4—48no—
1641C2×C4—82no—
1642C2×C4—82no—
1643C2×C4—88no—
1644C2×C4—88no—
1645C2×C4—88no—
1646C2×C4—164no—
1647C2×C4—164no—
1648C2×C4C22×#4112yes—
1649C2×C4C22×#4114yes—
1650C2×C4C22×#4112yes—
1651C2×C4C22×#4112yes—
1652C2×C4C2×H(5,𝔽2)14yes—
1653C2×C4C2×H(5,𝔽2)12yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C2×C4C2×2−1+412yes—
1656C2×C4C2×2−1+412yes—
1657C2×C4#58512yes—
1658C2×C4#58512yes—
1659C22—22no—
1660C22—24no—
1661C22—24no—
1662C22—22no—
1663C22—24no—
1664C22—24no—
1665C22—24no—
1666C22—22no—
1667C22—24no—
1668C22—42no—
1669C22—42no—
1670C22—41no—
1671C22—42no—
1672C22—42no—
1673C22—41no—
1674C22—42no—
1675C22—41no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—41no—
1680C22—41no—
1681C22—42no—
1682C22—41no—
1683C22—42no—
1684C22—42no—
1685C22—41no—
1686C22—41no—
1687C22—42no—
1688C22—42no—
1689C22—41no—
1690C22—42no—
1691C22—41no—
1692C22—42no—
1693C22—41no—
1694C22—816no—
1695C22C23×#4111yescharacteristic
1696C22C22×H(5,𝔽2)11yescharacteristic
1697C22C22×H(5,𝔽2)11yescharacteristic
1698C22C22×2−1+411yescharacteristic
1699C22C2×#58511yescharacteristic
1700C22C2×#58511yescharacteristic
1701C222−1+611yescharacteristic
1702C4—22no—
1703C4—22no—
1704C4—22no—
1705C4—24no—
1706C4—24no—
1707C4—42no—
1708C4—41no—
1709C4—41no—
1710C4—42no—
1711C4—42no—
1712C4—44no—
1713C4—42no—
1714C4—44no—
1715C4—42no—
1716C4—41no—
1717C4—41no—
1718C4—42no—
1719C4—41no—
1720C4—42no—
1721C4—41no—
1722C4—44no—
1723C4—42no—
1724C4—42no—
1725C4—41no—
1726C4—42no—
1727C4—41no—
1728C4—44no—
1729C4—42no—
1730C4#349414yes—
1731C4#352014yes—
1732C2—44no—
1733C2—44no—
1734C2—42no—
1735C2—81no—
1736C2—82no—
1737C2#6275211yescharacteristic
1738C2C2×#352011yescharacteristic
1739C2C2×#349411yescharacteristic
1740C2#6291511yescharacteristic
1741C2#6292111yescharacteristic
1742C2#6300911yescharacteristic
1743C2#6301411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59479C2semidirect
2. #59437C2semidirect
3. #59230C2semidirect
4. #59213C2semidirect
5. #59204C2semidirect
6. #49950C2semidirect
7. #48354C2semidirect
8. #46171C2semidirect
9. #45159C2semidirect
10. #45118C2semidirect
11. #45108C2semidirect
12. #45079C2semidirect
13. #42957C2semidirect
14. #42946C2semidirect
15. #42640C2semidirect
16. #42633C2semidirect
17. #39377C2semidirect
18. #39369C2semidirect
19. #39350C2semidirect
20. #38920C2semidirect
21. #38813C2semidirect
22. #38200C2semidirect
23. #37858C2semidirect
24. #36517C2semidirect
25. #36481C2semidirect
26. #36452C2semidirect
27. #36194C2semidirect
28. #36153C2semidirect
29. #35253C2semidirect
30. #35170C2semidirect
31. #34797C2semidirect
32. #34700C2semidirect
33. #34480C2semidirect
34. #34383C2semidirect
35. D4×#117C2semidirect
36. C2×#553C22semidirect
39. C2×#544C22semidirect
45. #2868C22semidirect
46. #2863C22semidirect
48. #2857C22semidirect
49. #2857C22semidirect
50. #2854C22semidirect
51. #2851C22semidirect
53. #2838C22semidirect
54. #2836C22semidirect
55. #2791C22semidirect
56. #2787C22semidirect
58. #2767C22semidirect
59. #2746C22semidirect
63. #2739C22semidirect
64. #2738C22semidirect
66. #2737C22semidirect
67. #2723C22semidirect
68. #2720C22semidirect
69. #2718C22semidirect
70. #2718C22semidirect
71. #2717C22semidirect
72. #2716C22semidirect
74. #2708C22semidirect
75. #2707C22semidirect
77. #2706C22semidirect
78. #2698C22semidirect
79. #2696C22semidirect
85. #2677C22semidirect
87. #2674C22semidirect
88. #2667C22semidirect
89. #2666C22semidirect
90. #2663C22semidirect
91. #2663C22semidirect
94. #2628C22semidirect
95. #2628C22semidirect
96. #2625C22semidirect
97. #2624C22semidirect
98. #2606C22semidirect
99. #2578C22semidirect
100. #2577C22semidirect
101. #2577C22semidirect
102. #2575C22semidirect
103. #2574C22semidirect
104. #2573C22semidirect
105. #2572C22semidirect
106. #2571C22semidirect
109. #2563C22semidirect
110. #2560C22semidirect
112. #2553C22semidirect
113. #2552C22semidirect
114. #2551C22semidirect
115. #2551C22semidirect
118. #2547C22semidirect
119. #2546C22semidirect
121. #2542C22semidirect
124. #2538C22semidirect
128. #2531C22semidirect
129. #2529C22semidirect
131. #2521C22semidirect
132. #2521C22semidirect
134. #2517C22semidirect
135. #2516C22semidirect
136. #2514C22semidirect
137. #2512C22semidirect
138. #2510C22semidirect
139. #2508C22semidirect
140. #2507C22semidirect
141. #2507C22semidirect
142. #2506C22semidirect
143. #2501C22semidirect
146. #2497C22semidirect
147. #2496C22semidirect
148. #2496C22semidirect
149. #2496C22semidirect
150. #2496C22semidirect
151. #2495C22semidirect
152. #2495C22semidirect
153. #2494C22semidirect
155. #2492C22semidirect
156. #2492C22semidirect
157. #2491C22semidirect
158. #2491C22semidirect
159. #2490C22semidirect
160. #2489C22semidirect
161. #2487C22semidirect
163. #2486C22semidirect
164. #2486C22semidirect
166. #2485C22semidirect
170. #2479C22semidirect
173. #2471C22semidirect
175. #2468C22semidirect
177. #2460C22semidirect
181. #2451C22semidirect
184. #2446C22semidirect
186. #2442C22semidirect
187. #2442C22semidirect
190. #2441C22semidirect
191. #2440C22semidirect
192. #2440C22semidirect
193. #2440C22semidirect
196. #2439C22semidirect
197. #2438C22semidirect
198. #2438C22semidirect
209. #2423C22semidirect
212. #2420C22semidirect
219. #2414C22semidirect
227. #2376C22semidirect
228. #2376C22semidirect
229. #2370C22semidirect
230. #2370C22semidirect
231. #2369C22semidirect
232. #2368C22semidirect
235. #2365C22semidirect
237. #2363C22semidirect
239. #2360C22semidirect
240. #2355C22semidirect
241. #2355C22semidirect
245. #2354C22semidirect
248. #2352C22semidirect
249. Q8×C4⋊C4C22semidirect
253. D4×C4⋊C4C22semidirect
255. #2345C22semidirect
256. #2345C22semidirect
257. #2345C22semidirect
263. #2335C22semidirect
264. #2334C22semidirect
266. #2324C22semidirect
267. #2323C22semidirect
268. #2323C22semidirect
269. #2317C22semidirect
270. #2317C22semidirect
271. #2316C22semidirect
272. #2314C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×#125C22semidirect
277. C4×#126C22semidirect
280. C4×#123C22semidirect
283. C4×#121C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
291. #2285C22semidirect
292. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#594792
#594372
#592302
#592132
#592042
#499502
#483542
#461712
#451592
#451182
#451082
#450792
#429572
#429462
#426402
#426332
#393772
#393692
#393502
#389202
#388132
#382002
#378582
#365172
#364812
#364522
#361942
#361532
#352532
#351702
#347972
#347002
#344802
#343832
D4×#1172