Finite Group Databasebeta

← #7650771

Subgroups — #7650771

Order 512.

4920 conjugacy classes of subgroups.

The subgroup lattice has 1794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42731C212yesmaximal, complemented
2#42707C212yesmaximal, complemented
3#42666C212yesmaximal, complemented
4#42660C212yesmaximal, complemented
5#42640C212yesmaximal, complemented
6#42618C212yesmaximal, complemented
7#42473C212yesmaximal, complemented
8#42458C212yesmaximal, complemented
9#40892C214yesmaximal, complemented
10#40843C214yesmaximal, complemented
11#40171C212yesmaximal, complemented
12#40127C212yesmaximal, complemented
13#39931C212yesmaximal, complemented
14#39902C212yesmaximal, complemented
15#39657C212yesmaximal, complemented
16#39608C212yesmaximal, complemented
17#38999C212yesmaximal, complemented
18#38940C212yesmaximal, complemented
19#38566C214yesmaximal, complemented
20#37907C214yesmaximal, complemented
21#35576C211yesmaximal, characteristic, complemented
22#35574C211yesmaximal, characteristic, complemented
23#35544C211yesmaximal, characteristic, complemented
24#35542C211yesmaximal, characteristic, complemented
25#35542C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35253C211yesmaximal, characteristic, complemented
28#35253C211yesmaximal, characteristic, complemented
29#35160C211yesmaximal, characteristic, complemented
30C2×#2563C211yesmaximal, characteristic, complemented
31#34809C211yesmaximal, characteristic, complemented
32#34737C211yesmaximal, characteristic
33#34271C211yesmaximal, characteristic, complemented
34#34202C211yesmaximal, characteristic, complemented
35#34180C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C22×C4⋊Q8C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43C22×#117C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2857C2212yescomplemented
46#2857C2212yescomplemented
47#2852C2214yes—
48#2851C2212yescomplemented
49#2851C2212yescomplemented
50#2838C2214yescomplemented
51#2838C2214yescomplemented
52#2832C2214yescomplemented
53#2830C2214yescomplemented
54#2800C2214yes—
55#2775C2214yescomplemented
56#2775C2214yescomplemented
57#2772C2214yescomplemented
58#2767C2214yescomplemented
59#2767C2214yescomplemented
60#2766C2214yescomplemented
61#2765C2214yescomplemented
62#2763C2214yescomplemented
63#2763C2214yescomplemented
64#2759C2214yescomplemented
65#2757C2214yes—
66#2755C2214yescomplemented
67#2754C2214yescomplemented
68#2751C2214yescomplemented
69#2745C2214yescomplemented
70#2742C2214yescomplemented
71#2737C2214yes—
72#2737C2214yescomplemented
73#2737C2214yescomplemented
74#2731C2214yescomplemented
75#2729C2214yescomplemented
76#2723C2214yescomplemented
77#2716C2214yescomplemented
78#2710C2214yes—
79#2705C2214yes—
80#2701C2214yes—
81#2700C2214yescomplemented
82#2692C2214yes—
83#2692C2214yescomplemented
84#2691C2214yes—
85#2674C2214yescomplemented
86#2666C2214yescomplemented
87#2665C2214yescomplemented
88#2663C2214yescomplemented
89#2662C2214yes—
90#2653C2214yescomplemented
91#2651C2214yes—
92#2650C2214yescomplemented
93#2650C2214yescomplemented
94#2643C2214yes—
95#2640C2214yescomplemented
96#2638C2214yescomplemented
97#2637C2214yescomplemented
98#2629C2212yescomplemented
99#2629C2212yescomplemented
100#2628C2212yescomplemented
101#2628C2214yescomplemented
102#2628C2212yescomplemented
103#2583C2214yes—
104#2579C2214yes—
105#2563C2212yes—
106#2563C2212yes—
107#2563C2212yes—
108#2563C2212yes—
109#2563C2212yes—
110#2563C2212yes—
111#2563C2212yes—
112#2563C2212yes—
113#2563C2212yescomplemented
114#2563C2212yescomplemented
115#2562C2212yescomplemented
116#2562C2212yescomplemented
117#2562C2212yescomplemented
118#2562C2212yescomplemented
119#2551C2212yescomplemented
120#2551C2212yescomplemented
121#2551C2212yescomplemented
122#2551C2212yescomplemented
123#2550C2212yescomplemented
124#2550C2212yescomplemented
125#2550C2212yescomplemented
126#2550C2212yescomplemented
127#2547C2212yescomplemented
128#2547C2212yescomplemented
129#2529C2214yescomplemented
130#2527C2214yescomplemented
131#2520C2214yescomplemented
132#2515C2214yescomplemented
133#2514C2212yescomplemented
134#2513C2212yescomplemented
135#2512C2212yescomplemented
136#2511C2212yescomplemented
137#2508C2214yescomplemented
138#2497C2212yescomplemented
139#2497C2212yescomplemented
140#2497C2212yescomplemented
141#2496C2212yescomplemented
142#2496C2212yescomplemented
143#2496C2212yescomplemented
144#2495C2212yescomplemented
145#2495C2212yescomplemented
146#2495C2212yescomplemented
147#2494C2212yescomplemented
148#2494C2212yescomplemented
149#2494C2212yescomplemented
150#2493C2214yes—
151#2492C2214yescomplemented
152#2492C2212yescomplemented
153#2492C2212yescomplemented
154#2491C2212yescomplemented
155#2491C2212yescomplemented
156#2490C2212yescomplemented
157#2490C2212yescomplemented
158#2489C2212yescomplemented
159#2489C2212yescomplemented
160#2488C2214yes—
161#2488C2214yes—
162#2487C2211yescharacteristic
163#2487C2211yescharacteristic
164#2487C2212yescomplemented
165#2486C2211yescharacteristic
166#2486C2211yescharacteristic
167#2486C2212yescomplemented
168#2485C2211yescharacteristic
169#2485C2211yescharacteristic
170#2485C2211yescharacteristic
171#2485C2211yescharacteristic
172#2485C2212yescomplemented
173#2485C2212yescomplemented
174#2484C2212yes—
175#2483C2212yes—
176#2482C2212yes—
177#2480C2214yes—
178#2479C2214yes—
179#2477C2214yescomplemented
180#2472C2214yes—
181#2472C2214yes—
182#2461C2214yes—
183#2458C2214yes—
184#2452C2212yescomplemented
185#2452C2214yescomplemented
186#2452C2212yescomplemented
187#2451C2212yescomplemented
188#2451C2212yescomplemented
189#2442C2212yescomplemented
190#2442C2212yescomplemented
191#2441C2212yescomplemented
192#2441C2212yescomplemented
193#2440C2212yescomplemented
194#2440C2212yescomplemented
195#2440C2212yescomplemented
196#2440C2212yescomplemented
197#2439C2212yescomplemented
198#2439C2212yescomplemented
199#2439C2212yescomplemented
200#2439C2212yescomplemented
201#2438C2214yes—
202#2438C2214yes—
203#2437C2214yes—
204#2437C2214yes—
205#2434C2214yes—
206#2426C2214yes—
207#2423C2212yescomplemented
208#2422C2212yescomplemented
209#2421C2212yescomplemented
210#2420C2212yescomplemented
211#2419C2214yes—
212#2418C2214yes—
213#2417C2211yescharacteristic
214#2417C2211yescharacteristic
215#2416C2211yescharacteristic
216#2416C2211yescharacteristic
217#2415C2211yescharacteristic
218#2415C2211yescharacteristic
219#2414C2211yescharacteristic
220#2414C2211yescharacteristic
221#2413C2212yes—
222#2412C2212yes—
223#2411C2212yes—
224#2410C2212yes—
225#2409C2214yes—
226#2405C2212yes—
227#2395C2212yes—
228#2395C2212yes—
229#2392C2212yes—
230#2392C2212yes—
231C2×#393C2212yes—
232C2×#393C2212yes—
233#2370C2212yescomplemented
234#2370C2212yescomplemented
235#2370C2212yescomplemented
236#2370C2212yescomplemented
237#2369C2212yescomplemented
238#2369C2212yescomplemented
239#2365C2212yescomplemented
240#2365C2212yescomplemented
241#2359C2214yes—
242#2358C2214yes—
243#2354C2212yescomplemented
244#2352C2212yescomplemented
245#2352C2212yescomplemented
246D4×C4⋊C4C2212yescomplemented
247#2347C2212yescomplemented
248#2346C2212yescomplemented
249#2345C2212yescomplemented
250#2344C2212yescomplemented
251#2343C2214yes—
252#2342C2214yes—
253#2335C2214yes—
254#2334C2214yescomplemented
255#2329C2214yes—
256#2324C2214yes—
257#2324C2212yescomplemented
258#2323C2212yescomplemented
259#2320C2214yescomplemented
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2316C2211yescharacteristic
266#2316C2211yescharacteristic
267#2314C2212yescomplemented
268#2314C2212yescomplemented
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272C4×C22⋊Q8C2214yes—
273C4×C22⋊Q8C2212yescomplemented
274C4×#123C2212yes—
275C4×#123C2212yes—
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#121C2212yescomplemented
279#2297C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283C2×#390C2212yes—
284#2285C2212yescomplemented
285#2283C2212yescomplemented
286C2×#382C2212yes—
287#2280C2211yescharacteristic
288#2280C2211yescharacteristic
289#2280C2211yescharacteristic
290#2280C2211yescharacteristic
291C2×#380C2211yescharacteristic
292C2×#380C2211yescharacteristic
293C2×#380C2211yescharacteristic
294C2×#380C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2311yescharacteristic
303C24×C4C2311yescharacteristic
304#544—28no—
305#544—44no—
306C2×C4⋊Q8—44no—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2314yes—
316C2×C4⋊Q8C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325#525—28no—
326#525—44no—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#120C2312yes—
349C2×#120C2312yes—
350#520—44no—
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2312yes—
353C2×C4×D4—44no—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×#117—28no—
370C2×#117—44no—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2312yes—
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2314yes—
387C2×#117C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C22⋊C4C2312yes—
400C22×C22⋊C4C2312yes—
401C22×C22⋊C4C2311yescharacteristic
402C22×C22⋊C4C2311yescharacteristic
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C42C2312yes—
408C22×C42C2311yescharacteristic
409C22×C42C2312yes—
410C22×C42C2312yes—
411#401C2314yes—
412#401C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#400C2314yes—
428#399C2312yes—
429#399C2314yes—
430#399C2312yes—
431#399C2314yes—
432#399C2314yes—
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#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2312yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2312yes—
476#396C2312yes—
477#396C2312yes—
478#396C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2312yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#392C2312yes—
522#392C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2314yes—
531#391C2314yes—
532#391C2314yes—
533#391C2314yes—
534#391C2314yes—
535#391C2314yes—
536#391C2314yes—
537#391C2311yescharacteristic
538#391C2311yescharacteristic
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2311yescharacteristic
552#390C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
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#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2314yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
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#387C2312yes—
656#387C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2312yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#382C2314yes—
702#382C2314yes—
703#382C2314yes—
704#382C2314yes—
705#382C2314yes—
706#382C2314yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#381C2314yes—
714#381C2312yes—
715#381C2314yes—
716#381C2312yes—
717#381C2312yes—
718#381C2312yes—
719#381C2312yes—
720#381C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2311yescharacteristic
756#380C2314yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#379C2312yes—
767#379C2312yes—
768#379C2312yes—
769#379C2312yes—
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⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813#376C2314yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C25C2411yescharacteristic
820C25C2411yescharacteristic
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C22×Q8—44no—
825C22×Q8—82no—
826C22×Q8—82no—
827C22×Q8C2411yescharacteristic
828C22×Q8C2414yes—
829C22×Q8C2414yes—
830C22×Q8C2414yes—
831C22×Q8C2414yes—
832C22×D4—24no—
833C22×D4—42no—
834C22×D4—42no—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C23×C4—24no—
846C23×C4—24no—
847C23×C4—24no—
848C23×C4—24no—
849C23×C4—24no—
850C23×C4—24no—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2414yes—
873C23×C4C2411yescharacteristic
874C4⋊Q8—28no—
875C4⋊Q8—28no—
876C4⋊Q8—44no—
877C4⋊Q8—44no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882C4⋊Q8—84no—
883C4⋊Q8—84no—
884#126—48no—
885#126—84no—
886#125—28no—
887#125—28no—
888#125—44no—
889#125—44no—
890#124—84no—
891#124—84no—
892#123—28no—
893#123—28no—
894#123—44no—
895#123—44no—
896#123—84no—
897C22⋊Q8—24no—
898C22⋊Q8—24no—
899C22⋊Q8—216no—
900C22⋊Q8—48no—
901C22⋊Q8—42no—
902C22⋊Q8—42no—
903C22⋊Q8—84no—
904C22⋊Q8—84no—
905C22⋊Q8—84no—
906C22⋊Q8—84no—
907#121—28no—
908#121—24no—
909#121—24no—
910#121—44no—
911#121—42no—
912#121—42no—
913#120—28no—
914#120—44no—
915C4×Q8—48no—
916C4×Q8—44no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—44no—
920C4×D4—42no—
921C4×D4—42no—
922C4×D4—42no—
923C4×D4—42no—
924C4×D4—42no—
925C4×D4—42no—
926C4×D4—42no—
927C4×D4—42no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—48no—
931C4×D4—84no—
932#117—24no—
933#117—24no—
934#117—24no—
935#117—24no—
936#117—24no—
937#117—24no—
938#117—24no—
939#117—24no—
940#117—28no—
941#117—28no—
942#117—44no—
943#117—44no—
944#117—42no—
945#117—42no—
946#117—44no—
947#117—84no—
948#117#4118yes—
949C2×C4⋊C4—24no—
950C2×C4⋊C4—24no—
951C2×C4⋊C4—24no—
952C2×C4⋊C4—24no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—24no—
955C2×C4⋊C4—42no—
956C2×C4⋊C4—42no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4—42no—
959C2×C4⋊C4—44no—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C22⋊C4—28no—
1030C2×C22⋊C4—44no—
1031C2×C22⋊C4—42no—
1032C2×C22⋊C4—42no—
1033C2×C22⋊C4—82no—
1034C2×C22⋊C4—82no—
1035C2×C22⋊C4—82no—
1036C2×C22⋊C4—82no—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C42—24no—
1100C2×C42—28no—
1101C2×C42—44no—
1102C2×C42—44no—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195C24—22no—
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—22no—
1202C24—22no—
1203C24—41no—
1204C24—41no—
1205C24—41no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24C2511yescharacteristic
1210C24C2511yescharacteristic
1211C24C2512yes—
1212C24C2511yescharacteristic
1213C24C2511yescharacteristic
1214C24C2511yescharacteristic
1215#41—416no—
1216C2×Q8—22no—
1217C2×Q8—28no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—44no—
1221C2×Q8—44no—
1222C2×Q8—44no—
1223C2×Q8—44no—
1224C2×Q8—44no—
1225C2×Q8—44no—
1226C2×Q8—44no—
1227C2×Q8—44no—
1228C2×Q8—44no—
1229C2×Q8—44no—
1230C2×Q8—44no—
1231C2×Q8—816no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—42no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—416no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D42−1+414yes—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—42no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—416no—
1330C22×C4—416no—
1331C22×C4C2×#4114yes—
1332C22×C4H(5,𝔽2)14yes—
1333C22×C42−1+414yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2514yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2514yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2514yes—
1353C22×C4C2514yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—28no—
1374C4⋊C4—28no—
1375C4⋊C4—28no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—41no—
1399C4⋊C4—41no—
1400C4⋊C4—41no—
1401C4⋊C4—41no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4C2×#4114yes—
1431C4⋊C4C2×#4114yes—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4C2×#4118yes—
1494C42—24no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—24no—
1503C42—24no—
1504C42—24no—
1505C42—24no—
1506C42—28no—
1507C42—44no—
1508C42—42no—
1509C42—42no—
1510C42—44no—
1511C42—44no—
1512C42—44no—
1513C42—44no—
1514C42—44no—
1515C42—44no—
1516C42—44no—
1517C42C2×#4118yes—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—22no—
1537C23—21no—
1538C23—21no—
1539C23—22no—
1540C23—22no—
1541C23—21no—
1542C23—21no—
1543C23—22no—
1544C23—21no—
1545C23—21no—
1546C23—22no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—22no—
1554C23—22no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—44no—
1559C23—44no—
1560C23—44no—
1561C23—44no—
1562C23—44no—
1563C23—82no—
1564C23—82no—
1565C23—82no—
1566C23—82no—
1567C23—82no—
1568C23—82no—
1569C23C22×#4112yes—
1570C23C2×H(5,𝔽2)12yes—
1571C23C2×2−1+412yes—
1572C23C2×2−1+412yes—
1573C23C2×2−1+412yes—
1574C23C2611yescharacteristic
1575Q8—44no—
1576Q8—88no—
1577Q8—88no—
1578Q8—88no—
1579Q8—164no—
1580D4—44no—
1581D4—48no—
1582D4—44no—
1583D4—44no—
1584D4—44no—
1585D4—48no—
1586D4—44no—
1587D4—84no—
1588D4—84no—
1589D4—84no—
1590C2×C4—28no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—24no—
1660C2×C4—24no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—48no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—44no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—48no—
1681C2×C4—84no—
1682C2×C4—84no—
1683C2×C4—84no—
1684C2×C4—84no—
1685C2×C4—84no—
1686C2×C4—84no—
1687C2×C4—84no—
1688C2×C4—164no—
1689C2×C4#542116yes—
1690C2×C4C22×#4114yes—
1691C2×C4C22×#4114yes—
1692C2×C4C22×#4112yes—
1693C2×C4C22×#4112yes—
1694C2×C4C2×H(5,𝔽2)12yes—
1695C2×C4C2×H(5,𝔽2)12yes—
1696C2×C4C2×2−1+412yes—
1697C2×C4C2×2−1+412yes—
1698C2×C4C2×2−1+412yes—
1699C2×C4#58512yes—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—42no—
1722C22—41no—
1723C22—42no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—42no—
1729C22—42no—
1730C22—41no—
1731C22—41no—
1732C22—42no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—42no—
1738C22—42no—
1739C22—41no—
1740C22—41no—
1741C22—88no—
1742C22—88no—
1743C22C2×#54214yes—
1744C22C23×#4111yescharacteristic
1745C22C22×H(5,𝔽2)11yescharacteristic
1746C22C22×2−1+411yescharacteristic
1747C22C22×2−1+411yescharacteristic
1748C22C2×#58511yescharacteristic
1749C22H(7,𝔽2)11yescharacteristic
1750C22H(7,𝔽2)11yescharacteristic
1751C4—24no—
1752C4—24no—
1753C4—22no—
1754C4—22no—
1755C4—42no—
1756C4—44no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—42no—
1761C4—42no—
1762C4—42no—
1763C4—41no—
1764C4—41no—
1765C4—42no—
1766C4—44no—
1767C4—44no—
1768C4—42no—
1769C4—42no—
1770C4—42no—
1771C4—44no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—42no—
1777C4—42no—
1778C4C2×#54214yes—
1779C4C2×#54214yes—
1780C2—24no—
1781C2—42no—
1782C2—42no—
1783C2—82no—
1784C2—81no—
1785C2—81no—
1786C2C22×#54211yescharacteristic
1787C2#6281911yescharacteristic
1788C2#6287411yescharacteristic
1789C2#6292911yescharacteristic
1790C2#6294511yescharacteristic
1791C2#6299411yescharacteristic
1792C2#6300011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34737C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42731C2semidirect
2. #42707C2semidirect
3. #42666C2semidirect
4. #42660C2semidirect
5. #42640C2semidirect
6. #42618C2semidirect
7. #42473C2semidirect
8. #42458C2semidirect
9. #40892C2semidirect
10. #40843C2semidirect
11. #40171C2semidirect
12. #40127C2semidirect
13. #39931C2semidirect
14. #39902C2semidirect
15. #39657C2semidirect
16. #39608C2semidirect
17. #38999C2semidirect
18. #38940C2semidirect
19. #38566C2semidirect
20. #37907C2semidirect
21. #35576C2semidirect
22. #35574C2semidirect
23. #35544C2semidirect
24. #35542C2semidirect
25. #35542C2semidirect
26. #35516C2semidirect
27. #35253C2semidirect
28. #35253C2semidirect
29. #35160C2semidirect
30. C2×#2563C2semidirect
31. #34809C2semidirect
33. #34271C2semidirect
34. #34202C2semidirect
35. #34180C2semidirect
45. #2857C22semidirect
46. #2857C22semidirect
48. #2851C22semidirect
49. #2851C22semidirect
50. #2838C22semidirect
51. #2838C22semidirect
52. #2832C22semidirect
53. #2830C22semidirect
55. #2775C22semidirect
56. #2775C22semidirect
57. #2772C22semidirect
58. #2767C22semidirect
59. #2767C22semidirect
60. #2766C22semidirect
61. #2765C22semidirect
62. #2763C22semidirect
63. #2763C22semidirect
64. #2759C22semidirect
66. #2755C22semidirect
67. #2754C22semidirect
68. #2751C22semidirect
69. #2745C22semidirect
70. #2742C22semidirect
72. #2737C22semidirect
73. #2737C22semidirect
74. #2731C22semidirect
75. #2729C22semidirect
76. #2723C22semidirect
77. #2716C22semidirect
81. #2700C22semidirect
83. #2692C22semidirect
85. #2674C22semidirect
86. #2666C22semidirect
87. #2665C22semidirect
88. #2663C22semidirect
90. #2653C22semidirect
92. #2650C22semidirect
93. #2650C22semidirect
95. #2640C22semidirect
96. #2638C22semidirect
97. #2637C22semidirect
98. #2629C22semidirect
99. #2629C22semidirect
100. #2628C22semidirect
101. #2628C22semidirect
102. #2628C22semidirect
113. #2563C22semidirect
114. #2563C22semidirect
115. #2562C22semidirect
116. #2562C22semidirect
117. #2562C22semidirect
118. #2562C22semidirect
119. #2551C22semidirect
120. #2551C22semidirect
121. #2551C22semidirect
122. #2551C22semidirect
123. #2550C22semidirect
124. #2550C22semidirect
125. #2550C22semidirect
126. #2550C22semidirect
127. #2547C22semidirect
128. #2547C22semidirect
129. #2529C22semidirect
130. #2527C22semidirect
131. #2520C22semidirect
132. #2515C22semidirect
133. #2514C22semidirect
134. #2513C22semidirect
135. #2512C22semidirect
136. #2511C22semidirect
137. #2508C22semidirect
138. #2497C22semidirect
139. #2497C22semidirect
140. #2497C22semidirect
141. #2496C22semidirect
142. #2496C22semidirect
143. #2496C22semidirect
144. #2495C22semidirect
145. #2495C22semidirect
146. #2495C22semidirect
147. #2494C22semidirect
148. #2494C22semidirect
149. #2494C22semidirect
151. #2492C22semidirect
152. #2492C22semidirect
153. #2492C22semidirect
154. #2491C22semidirect
155. #2491C22semidirect
156. #2490C22semidirect
157. #2490C22semidirect
158. #2489C22semidirect
159. #2489C22semidirect
164. #2487C22semidirect
167. #2486C22semidirect
172. #2485C22semidirect
173. #2485C22semidirect
179. #2477C22semidirect
184. #2452C22semidirect
185. #2452C22semidirect
186. #2452C22semidirect
187. #2451C22semidirect
188. #2451C22semidirect
189. #2442C22semidirect
190. #2442C22semidirect
191. #2441C22semidirect
192. #2441C22semidirect
193. #2440C22semidirect
194. #2440C22semidirect
195. #2440C22semidirect
196. #2440C22semidirect
197. #2439C22semidirect
198. #2439C22semidirect
199. #2439C22semidirect
200. #2439C22semidirect
207. #2423C22semidirect
208. #2422C22semidirect
209. #2421C22semidirect
210. #2420C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
235. #2370C22semidirect
236. #2370C22semidirect
237. #2369C22semidirect
238. #2369C22semidirect
239. #2365C22semidirect
240. #2365C22semidirect
243. #2354C22semidirect
244. #2352C22semidirect
245. #2352C22semidirect
246. D4×C4⋊C4C22semidirect
247. #2347C22semidirect
248. #2346C22semidirect
249. #2345C22semidirect
250. #2344C22semidirect
254. #2334C22semidirect
257. #2324C22semidirect
258. #2323C22semidirect
259. #2320C22semidirect
267. #2314C22semidirect
268. #2314C22semidirect
273. C4×C22⋊Q8C22semidirect
278. C4×#121C22semidirect
284. #2285C22semidirect
285. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#427312
#427072
#426662
#426602
#426402
#426182
#424732
#424582
#408922
#408432
#401712
#401272
#399312
#399022
#396572
#396082
#389992
#389402
#385662
#379072
#355762
#355742
#355442
#355422
#355162
#352532
#351602
C2×#25632
#348092
#347372
#342712
#342022
#341802