Finite Group Databasebeta

← #7654855

Subgroups — #7654855

Order 512.

5288 conjugacy classes of subgroups.

The subgroup lattice has 1741 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42336C214yesmaximal, complemented
2#42036C214yesmaximal, complemented
3#42012C214yesmaximal, complemented
4#39803C212yesmaximal, complemented
5#39672C212yesmaximal, complemented
6#39260C212yesmaximal, complemented
7#39259C212yesmaximal, complemented
8#38228C212yesmaximal, complemented
9#38226C212yesmaximal, complemented
10#38068C212yesmaximal, complemented
11#38056C212yesmaximal, complemented
12#37953C212yesmaximal, complemented
13#37851C212yesmaximal, complemented
14#37767C212yesmaximal, complemented
15#37665C212yesmaximal, complemented
16#37637C211yesmaximal, characteristic, complemented
17#37625C211yesmaximal, characteristic, complemented
18#37623C211yesmaximal, characteristic, complemented
19#36294C212yesmaximal, complemented
20#36264C212yesmaximal, complemented
21#36183C212yesmaximal, complemented
22#36108C212yesmaximal, complemented
23#35822C214yesmaximal, complemented
24#35249C211yesmaximal, characteristic, complemented
25#35237C211yesmaximal, characteristic
26#35198C211yesmaximal, characteristic, complemented
27#35197C211yesmaximal, characteristic, complemented
28#35185C211yesmaximal, characteristic, complemented
29#35177C211yesmaximal, characteristic, complemented
30#34941C211yesmaximal, characteristic, complemented
31#34934C211yesmaximal, characteristic, complemented
32C2×#2538C211yesmaximal, characteristic, complemented
33#34207C211yesmaximal, characteristic, complemented
34#34128C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#551C2214yes—
37C2×#542C2212yescomplemented
38C2×#532C2211yescharacteristic
39C2×#529C2212yescomplemented
40C22×C22⋊Q8C2212yes—
41C2×#520C2212yes—
42C22×C4×Q8C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44#2864C2212yescomplemented
45#2860C2212yes—
46#2860C2212yescomplemented
47#2858C2212yes—
48#2857C2212yescomplemented
49#2855C2212yescomplemented
50#2854C2212yes—
51#2854C2212yes—
52#2854C2212yescomplemented
53#2850C2212yescomplemented
54#2847C2212yes—
55#2847C2212yes—
56#2843C2214yescomplemented
57#2831C2214yescomplemented
58#2829C2214yescomplemented
59#2786C2214yescomplemented
60#2784C2214yescomplemented
61#2781C2214yescomplemented
62#2780C2214yescomplemented
63#2779C2214yescomplemented
64#2775C2214yescomplemented
65#2772C2214yescomplemented
66#2770C2214yescomplemented
67#2756C2214yes—
68#2753C2214yes—
69#2750C2214yescomplemented
70#2749C2214yes—
71#2748C2214yescomplemented
72#2743C2214yescomplemented
73#2741C2214yescomplemented
74#2740C2214yescomplemented
75#2715C2214yescomplemented
76#2706C2214yes—
77#2702C2214yescomplemented
78#2700C2214yescomplemented
79#2698C2214yescomplemented
80#2695C2214yescomplemented
81#2692C2214yescomplemented
82#2687C2214yescomplemented
83#2665C2214yescomplemented
84#2662C2214yescomplemented
85#2660C2212yescomplemented
86#2660C2212yescomplemented
87#2650C2214yescomplemented
88#2648C2214yescomplemented
89#2647C2212yescomplemented
90#2647C2212yescomplemented
91#2647C2212yescomplemented
92#2644C2212yes—
93#2644C2212yescomplemented
94#2641C2212yes—
95#2637C2214yescomplemented
96#2632C2214yescomplemented
97#2631C2214yes—
98#2630C2214yescomplemented
99#2629C2212yescomplemented
100#2627C2214yes—
101#2625C2212yescomplemented
102#2624C2212yescomplemented
103#2620C2212yescomplemented
104#2610C2214yes—
105#2609C2214yescomplemented
106#2603C2214yes—
107#2601C2214yescomplemented
108#2596C2214yescomplemented
109#2580C2212yescomplemented
110#2580C2212yescomplemented
111#2579C2214yescomplemented
112#2574C2214yescomplemented
113#2571C2211yescharacteristic, complemented
114#2567C2211yescharacteristic, complemented
115#2567C2211yescharacteristic, complemented
116#2564C2214yescomplemented
117#2563C2211yescharacteristic
118#2563C2211yescharacteristic
119#2560C2214yescomplemented
120#2554C2214yes—
121#2554C2214yescomplemented
122#2553C2214yescomplemented
123#2552C2211yescharacteristic, complemented
124#2552C2211yescharacteristic, complemented
125#2551C2211yescharacteristic, complemented
126#2548C2211yescharacteristic, complemented
127#2548C2211yescharacteristic, complemented
128#2541C2211yescharacteristic
129#2541C2211yescharacteristic
130#2538C2211yescharacteristic
131#2538C2214yes—
132#2538C2212yes—
133#2538C2212yes—
134#2538C2212yes—
135#2538C2212yes—
136#2538C2211yescharacteristic
137#2538C2211yescharacteristic
138#2538C2211yescharacteristic
139#2535C2212yes—
140#2535C2212yes—
141#2534C2214yes—
142#2530C2214yescomplemented
143#2529C2214yescomplemented
144#2521C2214yescomplemented
145#2513C2212yes—
146#2513C2212yescomplemented
147#2512C2212yes—
148#2512C2212yescomplemented
149#2509C2212yescomplemented
150#2509C2212yescomplemented
151#2508C2212yescomplemented
152#2508C2212yescomplemented
153#2504C2212yes—
154#2501C2212yes—
155#2498C2214yes—
156#2498C2214yescomplemented
157#2497C2212yescomplemented
158#2497C2212yescomplemented
159#2496C2212yescomplemented
160#2496C2212yescomplemented
161#2492C2212yescomplemented
162#2491C2212yescomplemented
163#2490C2212yescomplemented
164#2489C2212yescomplemented
165#2488C2214yes—
166#2488C2214yescomplemented
167#2481C2214yes—
168#2481C2214yes—
169#2481C2214yescomplemented
170#2478C2214yescomplemented
171#2477C2214yescomplemented
172#2474C2214yescomplemented
173#2472C2214yes—
174#2470C2214yescomplemented
175#2469C2214yescomplemented
176#2465C2214yescomplemented
177#2461C2214yes—
178#2461C2214yescomplemented
179#2457C2214yescomplemented
180#2454C2212yes—
181#2454C2212yescomplemented
182#2452C2212yes—
183#2452C2212yescomplemented
184#2450C2214yescomplemented
185#2449C2214yescomplemented
186#2445C2212yes—
187#2445C2212yes—
188#2445C2212yes—
189#2445C2212yes—
190#2442C2212yes—
191#2442C2212yes—
192#2440C2212yes—
193#2440C2212yes—
194#2436C2212yes—
195#2433C2212yes—
196#2427C2212yescomplemented
197#2427C2212yescomplemented
198#2426C2212yescomplemented
199#2426C2212yescomplemented
200#2423C2212yescomplemented
201#2422C2212yescomplemented
202#2421C2212yescomplemented
203#2420C2212yescomplemented
204#2419C2214yes—
205#2418C2214yes—
206#2417C2214yes—
207#2413C2214yescomplemented
208#2412C2214yes—
209#2412C2214yes—
210#2411C2214yes—
211#2406C2214yes—
212#2404C2214yes—
213#2396C2214yescomplemented
214#2392C2214yescomplemented
215C2×#396C2214yes—
216#2361C2212yes—
217#2361C2212yes—
218#2361C2212yes—
219#2361C2212yes—
220#2359C2214yes—
221#2358C2214yes—
222#2357C2211yescharacteristic
223#2357C2211yescharacteristic
224#2356C2212yescomplemented
225#2356C2211yescharacteristic, complemented
226#2356C2211yescharacteristic, complemented
227#2356C2212yescomplemented
228#2354C2212yescomplemented
229#2354C2212yescomplemented
230#2353C2212yes—
231#2353C2212yes—
232#2352C2214yes—
233#2351C2211yescharacteristic, complemented
234#2351C2211yescharacteristic, complemented
235#2349C2211yescharacteristic
236#2349C2211yescharacteristic
237D4×C4⋊C4C2212yescomplemented
238D4×C4⋊C4C2212yescomplemented
239#2345C2211yescharacteristic
240#2345C2211yescharacteristic
241#2344C2212yes—
242#2344C2211yescharacteristic
243#2344C2211yescharacteristic
244#2344C2212yes—
245#2342C2212yes—
246#2342C2212yes—
247Q8×C22⋊C4C2211yescharacteristic
248Q8×C22⋊C4C2211yescharacteristic
249D4×C22⋊C4C2211yescharacteristic
250D4×C22⋊C4C2211yescharacteristic
251#2331C2212yescomplemented
252#2328C2212yes—
253#2328C2212yes—
254#2328C2212yes—
255#2326C2212yescomplemented
256#2326C2212yescomplemented
257#2326C2212yescomplemented
258#2326C2212yescomplemented
259#2324C2212yescomplemented
260#2323C2212yescomplemented
261#2319C2212yes—
262#2319C2212yescomplemented
263#2314C2212yescomplemented
264#2311C2212yes—
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×#127C2212yes—
268C4×#127C2211yescharacteristic, complemented
269C4×#127C2211yescharacteristic, complemented
270C4×#125C2212yescomplemented
271C4×C22⋊Q8C2212yescomplemented
272C4×#121C2212yescomplemented
273#2295C2211yescharacteristic, complemented
274#2295C2212yescomplemented
275#2295C2212yescomplemented
276#2295C2211yescharacteristic, complemented
277#2293C2211yescharacteristic
278#2293C2211yescharacteristic
279#2293C2212yes—
280#2293C2212yescomplemented
281C2×#390C2212yes—
282C2×#389C2212yes—
283#2290C2212yes—
284#2290C2212yes—
285#2285C2212yescomplemented
286C2×#384C2211yescharacteristic
287#2283C2211yescharacteristic
288#2283C2211yescharacteristic
289#2283C2212yes—
290#2280C2212yes—
291C2×#380C2212yes—
292C42×Q8C2211yescharacteristic, complemented
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2312yes—
300C23×Q8C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#551—416no—
304#542—48no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#127C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312#529—48no—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2314yes—
323C2×#124C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8—48no—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348#520—48no—
349C2×C4×Q8—28no—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4—28no—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2314yes—
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2314yes—
392C2×#117C2314yes—
393C2×#117C2314yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2314yes—
399C22×C4⋊C4C2314yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2314yes—
406C22×C22⋊C4C2314yes—
407C22×C42C2312yes—
408C22×C42C2312yes—
409C22×C42C2312yes—
410C22×C42C2311yescharacteristic
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2314yes—
505#391C2314yes—
506#391C2311yescharacteristic
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#390C2314yes—
514#390C2312yes—
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#390C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2314yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#383C2312yes—
697#383C2312yes—
698#383C2312yes—
699#383C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2314yes—
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2311yescharacteristic
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#381C2314yes—
713#381C2314yes—
714#381C2312yes—
715#381C2312yes—
716#381C2312yes—
717#381C2312yes—
718#381C2312yes—
719#381C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#379C2312yes—
748#379C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2311yescharacteristic
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C25C2412yes—
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8—24no—
823C22×Q8—24no—
824C22×Q8—42no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×D4—24no—
831C22×D4—24no—
832C22×D4—42no—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C23×C4—28no—
845C23×C4—44no—
846C23×C4—44no—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C4⋊Q8—24no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868#127—28no—
869#127—24no—
870#127—44no—
871#126—48no—
872#126—48no—
873#126—48no—
874#126—48no—
875#125—44no—
876#125—44no—
877#124—28no—
878#124—28no—
879#124—48no—
880#124—48no—
881#124—44no—
882#123—48no—
883#123—48no—
884#123—48no—
885#123—48no—
886#123—48no—
887#123—48no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—48no—
891C22⋊Q8—48no—
892C22⋊Q8—48no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897#121—28no—
898#121—28no—
899#121—44no—
900#121—44no—
901#121—44no—
902#121—44no—
903#120—48no—
904#120—48no—
905C4×Q8—24no—
906C4×Q8—24no—
907C4×Q8—24no—
908C4×Q8—28no—
909C4×Q8—24no—
910C4×Q8—28no—
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×Q8—42no—
916C4×Q8—42no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—216no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—28no—
924C4×D4—24no—
925C4×D4—24no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—44no—
929C4×D4—48no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—42no—
933C4×D4—42no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—48no—
938C4×D4—48no—
939#117—24no—
940#117—28no—
941#117—44no—
942#117—44no—
943#117—48no—
944#117—48no—
945#117—48no—
946#117—42no—
947#117—44no—
948C2×C4⋊C4—24no—
949C2×C4⋊C4—24no—
950C2×C4⋊C4—28no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4—48no—
953C2×C4⋊C4—48no—
954C2×C4⋊C4—44no—
955C2×C4⋊C4—44no—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
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×C22⋊C4—28no—
1021C2×C22⋊C4—28no—
1022C2×C22⋊C4—48no—
1023C2×C22⋊C4—44no—
1024C2×C22⋊C4—48no—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C42—28no—
1082C2×C42—44no—
1083C2×C42—44no—
1084C2×C42#4118yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
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#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24—24no—
1194C24—24no—
1195C24—24no—
1196C24—24no—
1197C24—42no—
1198C24—42no—
1199C24—42no—
1200C24C2512yes—
1201C24C2514yes—
1202C24C2512yes—
1203C24C2511yescharacteristic
1204#41—432no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—44no—
1219C2×Q8—416no—
1220C2×Q8H(5,𝔽2)14yes—
1221C2×D4—28no—
1222C2×D4—28no—
1223C2×D4—24no—
1224C2×D4—28no—
1225C2×D4—28no—
1226C2×D4—28no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—416no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D42−1+414yes—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—28no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—28no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—28no—
1282C22×C4—42no—
1283C22×C4—44no—
1284C22×C4—42no—
1285C22×C4—44no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—816no—
1307C22×C4C2×#4114yes—
1308C22×C4C2×#4114yes—
1309C22×C4C2×#4114yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2514yes—
1331C22×C4C2514yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—28no—
1355C4⋊C4—28no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—28no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—41no—
1383C4⋊C4—41no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C22⋊C4—24no—
1406C22⋊C4—22no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—22no—
1411C22⋊C4—24no—
1412C22⋊C4—22no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
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—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4H(5,𝔽2)14yes—
1461C42—24no—
1462C42—24no—
1463C42—24no—
1464C42—24no—
1465C42—22no—
1466C42—24no—
1467C42—24no—
1468C42—22no—
1469C42—22no—
1470C42—24no—
1471C42—28no—
1472C42—24no—
1473C42—22no—
1474C42—24no—
1475C42—22no—
1476C42—22no—
1477C42—24no—
1478C42—22no—
1479C42—24no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—24no—
1484C42—42no—
1485C42—42no—
1486C42—42no—
1487C42—42no—
1488C42—41no—
1489C42—41no—
1490C42—42no—
1491C42—42no—
1492C42—44no—
1493C42—42no—
1494C42—42no—
1495C42C2×#4114yes—
1496C42C2×#4114yes—
1497C42C2×#4114yes—
1498C42C2×#4114yes—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—24no—
1511C23—22no—
1512C23—22no—
1513C23—24no—
1514C23—24no—
1515C23—24no—
1516C23—22no—
1517C23—24no—
1518C23—22no—
1519C23—22no—
1520C23—24no—
1521C23—24no—
1522C23—22no—
1523C23—48no—
1524C23—48no—
1525C23—48no—
1526C23—48no—
1527C23—84no—
1528C23—84no—
1529C23—84no—
1530C23C22×#4112yes—
1531C23C2×H(5,𝔽2)12yes—
1532C23C2×2−1+414yes—
1533C23#58512yes—
1534C23C2611yescharacteristic
1535Q8—28no—
1536Q8—48no—
1537Q8—48no—
1538Q8—44no—
1539Q8—164no—
1540D4—28no—
1541D4—48no—
1542D4—48no—
1543D4—416no—
1544D4—48no—
1545D4—48no—
1546D4—44no—
1547D4—88no—
1548D4—88no—
1549D4—164no—
1550D4—164no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—28no—
1566C2×C4—28no—
1567C2×C4—28no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
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—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—48no—
1635C2×C4—48no—
1636C2×C4—416no—
1637C2×C4—48no—
1638C2×C4—48no—
1639C2×C4—48no—
1640C2×C4—88no—
1641C2×C4—84no—
1642C2×C4—84no—
1643C2×C4—84no—
1644C2×C4—88no—
1645C2×C4—84no—
1646C2×C4—84no—
1647C2×C4—84no—
1648C2×C4—164no—
1649C2×C4C22×#4112yes—
1650C2×C4C22×#4112yes—
1651C2×C4C22×#4112yes—
1652C2×C4C22×#4112yes—
1653C2×C4C22×#4112yes—
1654C2×C4C22×#4112yes—
1655C2×C4C2×H(5,𝔽2)12yes—
1656C2×C4C2×H(5,𝔽2)12yes—
1657C2×C4C2×H(5,𝔽2)14yes—
1658C2×C4C2×H(5,𝔽2)12yes—
1659C2×C4C2×2−1+412yes—
1660C2×C4#58512yes—
1661C2×C4#58512yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—24no—
1669C22—24no—
1670C22—24no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—44no—
1676C22—42no—
1677C22—44no—
1678C22—42no—
1679C22—44no—
1680C22—42no—
1681C22—42no—
1682C22—44no—
1683C22—42no—
1684C22—44no—
1685C22—42no—
1686C22—44no—
1687C22—44no—
1688C22—42no—
1689C22—816no—
1690C22#346014yes—
1691C22C23×#4111yescharacteristic
1692C22C22×H(5,𝔽2)11yescharacteristic
1693C22C22×H(5,𝔽2)11yescharacteristic
1694C22C22×2−1+411yescharacteristic
1695C22C2×#58511yescharacteristic
1696C22C2×#58511yescharacteristic
1697C22C2×#58511yescharacteristic
1698C4—22no—
1699C4—22no—
1700C4—22no—
1701C4—24no—
1702C4—22no—
1703C4—22no—
1704C4—22no—
1705C4—41no—
1706C4—42no—
1707C4—42no—
1708C4—44no—
1709C4—44no—
1710C4—42no—
1711C4—41no—
1712C4—42no—
1713C4—41no—
1714C4—42no—
1715C4—41no—
1716C4—42no—
1717C4—41no—
1718C4—42no—
1719C4—41no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—44no—
1727C4#349414yes—
1728C4#349514yes—
1729C2—24no—
1730C2—44no—
1731C2—84no—
1732C2—82no—
1733C2C2×#346011yescharacteristic
1734C2C2×#349411yescharacteristic
1735C2C2×#349511yescharacteristic
1736C2#6301311yescharacteristic
1737C2#6301411yescharacteristic
1738C2#6301511yescharacteristic
1739C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35237C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42336C2semidirect
2. #42036C2semidirect
3. #42012C2semidirect
4. #39803C2semidirect
5. #39672C2semidirect
6. #39260C2semidirect
7. #39259C2semidirect
8. #38228C2semidirect
9. #38226C2semidirect
10. #38068C2semidirect
11. #38056C2semidirect
12. #37953C2semidirect
13. #37851C2semidirect
14. #37767C2semidirect
15. #37665C2semidirect
16. #37637C2semidirect
17. #37625C2semidirect
18. #37623C2semidirect
19. #36294C2semidirect
20. #36264C2semidirect
21. #36183C2semidirect
22. #36108C2semidirect
23. #35822C2semidirect
24. #35249C2semidirect
26. #35198C2semidirect
27. #35197C2semidirect
28. #35185C2semidirect
29. #35177C2semidirect
30. #34941C2semidirect
31. #34934C2semidirect
32. C2×#2538C2semidirect
33. #34207C2semidirect
34. #34128C2semidirect
35. #34126C2semidirect
37. C2×#542C22semidirect
39. C2×#529C22semidirect
44. #2864C22semidirect
46. #2860C22semidirect
48. #2857C22semidirect
49. #2855C22semidirect
52. #2854C22semidirect
53. #2850C22semidirect
56. #2843C22semidirect
57. #2831C22semidirect
58. #2829C22semidirect
59. #2786C22semidirect
60. #2784C22semidirect
61. #2781C22semidirect
62. #2780C22semidirect
63. #2779C22semidirect
64. #2775C22semidirect
65. #2772C22semidirect
66. #2770C22semidirect
69. #2750C22semidirect
71. #2748C22semidirect
72. #2743C22semidirect
73. #2741C22semidirect
74. #2740C22semidirect
75. #2715C22semidirect
77. #2702C22semidirect
78. #2700C22semidirect
79. #2698C22semidirect
80. #2695C22semidirect
81. #2692C22semidirect
82. #2687C22semidirect
83. #2665C22semidirect
84. #2662C22semidirect
85. #2660C22semidirect
86. #2660C22semidirect
87. #2650C22semidirect
88. #2648C22semidirect
89. #2647C22semidirect
90. #2647C22semidirect
91. #2647C22semidirect
93. #2644C22semidirect
95. #2637C22semidirect
96. #2632C22semidirect
98. #2630C22semidirect
99. #2629C22semidirect
101. #2625C22semidirect
102. #2624C22semidirect
103. #2620C22semidirect
105. #2609C22semidirect
107. #2601C22semidirect
108. #2596C22semidirect
109. #2580C22semidirect
110. #2580C22semidirect
111. #2579C22semidirect
112. #2574C22semidirect
113. #2571C22semidirect
114. #2567C22semidirect
115. #2567C22semidirect
116. #2564C22semidirect
119. #2560C22semidirect
121. #2554C22semidirect
122. #2553C22semidirect
123. #2552C22semidirect
124. #2552C22semidirect
125. #2551C22semidirect
126. #2548C22semidirect
127. #2548C22semidirect
142. #2530C22semidirect
143. #2529C22semidirect
144. #2521C22semidirect
146. #2513C22semidirect
148. #2512C22semidirect
149. #2509C22semidirect
150. #2509C22semidirect
151. #2508C22semidirect
152. #2508C22semidirect
156. #2498C22semidirect
157. #2497C22semidirect
158. #2497C22semidirect
159. #2496C22semidirect
160. #2496C22semidirect
161. #2492C22semidirect
162. #2491C22semidirect
163. #2490C22semidirect
164. #2489C22semidirect
166. #2488C22semidirect
169. #2481C22semidirect
170. #2478C22semidirect
171. #2477C22semidirect
172. #2474C22semidirect
174. #2470C22semidirect
175. #2469C22semidirect
176. #2465C22semidirect
178. #2461C22semidirect
179. #2457C22semidirect
181. #2454C22semidirect
183. #2452C22semidirect
184. #2450C22semidirect
185. #2449C22semidirect
196. #2427C22semidirect
197. #2427C22semidirect
198. #2426C22semidirect
199. #2426C22semidirect
200. #2423C22semidirect
201. #2422C22semidirect
202. #2421C22semidirect
203. #2420C22semidirect
207. #2413C22semidirect
213. #2396C22semidirect
214. #2392C22semidirect
224. #2356C22semidirect
225. #2356C22semidirect
226. #2356C22semidirect
227. #2356C22semidirect
228. #2354C22semidirect
229. #2354C22semidirect
233. #2351C22semidirect
234. #2351C22semidirect
237. D4×C4⋊C4C22semidirect
238. D4×C4⋊C4C22semidirect
251. #2331C22semidirect
255. #2326C22semidirect
256. #2326C22semidirect
257. #2326C22semidirect
258. #2326C22semidirect
259. #2324C22semidirect
260. #2323C22semidirect
262. #2319C22semidirect
263. #2314C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×C4⋊Q8C22semidirect
268. C4×#127C22semidirect
269. C4×#127C22semidirect
270. C4×#125C22semidirect
271. C4×C22⋊Q8C22semidirect
272. C4×#121C22semidirect
273. #2295C22semidirect
274. #2295C22semidirect
275. #2295C22semidirect
276. #2295C22semidirect
280. #2293C22semidirect
285. #2285C22semidirect
292. C42×Q8C22semidirect
293. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#423362
#420362
#420122
#398032
#396722
#392602
#392592
#382282
#382262
#380682
#380562
#379532
#378512
#377672
#376652
#376372
#376252
#376232
#362942
#362642
#361832
#361082
#358222
#352492
#352372
#351982
#351972
#351852
#351772
#349412
#349342
C2×#25382
#342072
#341282
#341262