Finite Group Databasebeta

← #7650116

Subgroups — #7650116

Order 512.

5022 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42756C212yesmaximal, complemented
2#42751C212yesmaximal, complemented
3#42735C212yesmaximal, complemented
4#42734C212yesmaximal, complemented
5#42637C212yesmaximal, complemented
6#42632C212yesmaximal, complemented
7#42558C212yesmaximal, complemented
8#42554C212yesmaximal, complemented
9#40667C214yesmaximal, complemented
10#40665C214yesmaximal, complemented
11#40222C212yesmaximal, complemented
12#40212C212yesmaximal, complemented
13#40083C212yesmaximal, complemented
14#40071C212yesmaximal, complemented
15#39411C212yesmaximal, complemented
16#39398C212yesmaximal, complemented
17#39247C212yesmaximal, complemented
18#39240C212yesmaximal, complemented
19#38480C214yesmaximal, complemented
20#37704C214yesmaximal, complemented
21#35592C211yesmaximal, characteristic, complemented
22#35575C211yesmaximal, characteristic, complemented
23#35574C211yesmaximal, characteristic, complemented
24#35564C211yesmaximal, characteristic
25#35545C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#35267C211yesmaximal, characteristic, complemented
28#35255C211yesmaximal, characteristic, complemented
29#35158C211yesmaximal, characteristic, complemented
30#34955C211yesmaximal, characteristic, complemented
31#34952C211yesmaximal, characteristic, complemented
32C2×#2546C211yesmaximal, characteristic, complemented
33#34272C211yesmaximal, characteristic, complemented
34#34267C211yesmaximal, characteristic, complemented
35#34252C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#542C2214yes—
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C22×C4⋊Q8C2211yescharacteristic
42C22×C4⋊Q8C2212yes—
43C2×#520C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47#2863C2212yes—
48#2860C2212yes—
49#2855C2212yes—
50#2854C2212yes—
51#2850C2214yes—
52#2839C2214yes—
53#2837C2214yes—
54#2831C2214yes—
55#2829C2214yes—
56#2799C2214yes—
57#2772C2214yes—
58#2770C2214yes—
59#2767C2214yes—
60#2766C2214yes—
61#2764C2214yes—
62#2762C2214yes—
63#2761C2214yes—
64#2759C2214yes—
65#2757C2214yes—
66#2754C2214yes—
67#2754C2214yes—
68#2751C2214yes—
69#2747C2214yes—
70#2746C2214yes—
71#2741C2214yes—
72#2738C2214yes—
73#2731C2214yes—
74#2731C2214yes—
75#2730C2214yes—
76#2729C2214yes—
77#2729C2214yes—
78#2716C2214yes—
79#2716C2214yes—
80#2712C2214yes—
81#2702C2214yes—
82#2701C2214yes—
83#2700C2214yes—
84#2691C2214yes—
85#2687C2214yes—
86#2674C2214yes—
87#2674C2214yes—
88#2655C2214yes—
89#2654C2214yes—
90#2653C2214yes—
91#2653C2214yes—
92#2652C2214yes—
93#2651C2214yes—
94#2651C2214yes—
95#2650C2214yes—
96#2645C2212yes—
97#2644C2212yes—
98#2640C2214yes—
99#2639C2214yes—
100#2637C2214yes—
101#2630C2214yes—
102#2628C2214yes—
103#2625C2212yes—
104#2624C2212yes—
105#2592C2211yescharacteristic
106#2592C2211yescharacteristic
107#2592C2211yescharacteristic
108#2592C2211yescharacteristic
109#2591C2214yes—
110#2591C2212yes—
111#2591C2212yes—
112#2582C2211yescharacteristic
113#2582C2211yescharacteristic
114#2581C2211yescharacteristic
115#2581C2211yescharacteristic
116#2580C2211yescharacteristic
117#2580C2211yescharacteristic
118#2579C2212yes—
119#2579C2212yes—
120#2579C2214yes—
121#2568C2211yescharacteristic
122#2568C2211yescharacteristic
123#2564C2214yes—
124#2548C2211yescharacteristic
125#2548C2211yescharacteristic
126#2546C2212yes—
127#2546C2212yes—
128#2546C2212yes—
129#2546C2212yes—
130#2546C2212yes—
131#2546C2212yes—
132#2546C2212yes—
133#2546C2212yes—
134#2543C2214yes—
135#2538C2211yescharacteristic
136#2538C2211yescharacteristic
137#2532C2214yes—
138#2527C2214yes—
139#2525C2214yes—
140#2515C2214yes—
141#2514C2212yes—
142#2513C2212yes—
143#2512C2212yes—
144#2511C2212yes—
145#2510C2214yes—
146#2510C2214yes—
147#2504C2212yes—
148#2497C2212yes—
149#2497C2212yes—
150#2496C2212yes—
151#2496C2212yes—
152#2495C2212yes—
153#2495C2212yes—
154#2494C2212yes—
155#2494C2212yes—
156#2492C2212yes—
157#2492C2212yes—
158#2492C2214yes—
159#2492C2212yes—
160#2492C2212yes—
161#2492C2212yes—
162#2492C2212yes—
163#2491C2212yes—
164#2491C2212yes—
165#2491C2212yes—
166#2491C2212yes—
167#2491C2214yes—
168#2491C2212yes—
169#2491C2212yes—
170#2490C2212yes—
171#2490C2212yes—
172#2489C2212yes—
173#2489C2212yes—
174#2487C2212yes—
175#2487C2212yes—
176#2486C2212yes—
177#2485C2212yes—
178#2485C2212yes—
179#2481C2214yes—
180#2481C2214yes—
181#2477C2214yes—
182#2474C2214yes—
183#2468C2214yes—
184#2458C2214yes—
185#2454C2212yes—
186#2453C2212yes—
187#2452C2212yes—
188#2452C2214yes—
189#2452C2212yes—
190#2452C2212yes—
191#2451C2214yes—
192#2451C2212yes—
193#2451C2212yes—
194#2451C2212yes—
195#2448C2212yes—
196#2447C2212yes—
197#2446C2212yes—
198#2445C2212yes—
199#2444C2214yes—
200#2444C2214yes—
201#2443C2214yes—
202#2443C2214yes—
203#2442C2212yes—
204#2441C2212yes—
205#2440C2212yes—
206#2440C2212yes—
207#2440C2212yes—
208#2439C2212yes—
209#2439C2212yes—
210#2439C2212yes—
211#2436C2214yes—
212#2436C2212yes—
213#2429C2212yes—
214#2428C2212yes—
215#2427C2212yes—
216#2426C2212yes—
217#2423C2212yes—
218#2422C2212yes—
219#2421C2212yes—
220#2420C2212yes—
221#2417C2212yes—
222#2417C2214yes—
223#2416C2214yes—
224#2416C2212yes—
225#2415C2212yes—
226#2414C2212yes—
227#2409C2212yes—
228#2409C2214yes—
229#2398C2212yes—
230#2398C2212yes—
231#2396C2212yes—
232#2396C2212yes—
233C2×#398C2212yes—
234C2×#398C2212yes—
235#2370C2212yes—
236#2370C2212yes—
237#2369C2212yes—
238#2368C2214yes—
239#2365C2212yes—
240#2364C2214yes—
241#2363C2212yes—
242#2362C2212yes—
243#2361C2212yes—
244#2361C2214yes—
245#2360C2212yes—
246#2360C2214yes—
247#2357C2212yes—
248#2356C2212yes—
249#2355C2212yes—
250#2354C2212yes—
251#2347C2212yes—
252#2346C2212yes—
253#2345C2212yes—
254#2344C2212yes—
255#2337C2214yes—
256#2332C2214yes—
257#2331C2212yes—
258#2331C2214yes—
259#2330C2212yes—
260#2324C2212yes—
261#2323C2212yes—
262#2318C2214yes—
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2316C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272C4×C4⋊Q8C2212yes—
273C4×#125C2212yes—
274C4×#124C2212yes—
275C4×#124C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×#121C2212yes—
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288C2×#391C2212yes—
289C2×#389C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#389C2211yescharacteristic
293#2290C2214yes—
294#2285C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C23×Q8C2312yes—
304#544—28no—
305#542—416no—
306#537—28no—
307#537—44no—
308#532—44no—
309C2×C4⋊Q8—44no—
310C2×C4⋊Q8—48no—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2314yes—
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2314yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×#127C2311yescharacteristic
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2311yescharacteristic
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355#520—28no—
356#520—44no—
357C4×#41—44no—
358C2×C4×Q8—44no—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2314yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2314yes—
391C2×#117C2312yes—
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2312yes—
410C22×C42C2312yes—
411#401C2314yes—
412#401C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2312yes—
416#400C2312yes—
417#400C2312yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2312yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#399C2314yes—
433#399C2312yes—
434#399C2312yes—
435#399C2314yes—
436#399C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2312yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#396C2312yes—
481#396C2312yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#395C2314yes—
488#395C2312yes—
489#395C2312yes—
490#395C2314yes—
491#395C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2312yes—
510#393C2312yes—
511#393C2312yes—
512#393C2312yes—
513#393C2312yes—
514#393C2312yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#392C2314yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2311yescharacteristic
531#391C2312yes—
532#391C2311yescharacteristic
533#391C2311yescharacteristic
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#391C2311yescharacteristic
537#391C2311yescharacteristic
538#391C2311yescharacteristic
539#391C2312yes—
540#391C2314yes—
541#391C2311yescharacteristic
542#391C2311yescharacteristic
543#391C2311yescharacteristic
544#391C2311yescharacteristic
545#391C2312yes—
546#391C2312yes—
547#391C2314yes—
548#391C2314yes—
549#391C2314yes—
550#391C2314yes—
551#391C2314yes—
552#391C2314yes—
553#391C2314yes—
554#391C2314yes—
555#391C2314yes—
556#391C2314yes—
557#391C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2311yescharacteristic
572#390C2311yescharacteristic
573#390C2311yescharacteristic
574#390C2311yescharacteristic
575#390C2311yescharacteristic
576#390C2311yescharacteristic
577#390C2314yes—
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2314yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#384C2312yes—
730#384C2312yes—
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#383C2314yes—
734#383C2314yes—
735#383C2314yes—
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#382C2312yes—
740#382C2314yes—
741#382C2311yescharacteristic
742#382C2311yescharacteristic
743#382C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
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#376C2312yes—
814#376C2314yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C43C2312yes—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C22×Q8—24no—
831C22×Q8—42no—
832C22×Q8—44no—
833C22×Q8—42no—
834C22×Q8—44no—
835C22×Q8—44no—
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×Q8C2411yescharacteristic
840C22×Q8C2411yescharacteristic
841C22×Q8C2411yescharacteristic
842C22×Q8C2414yes—
843C22×Q8C2414yes—
844C22×Q8C2414yes—
845C22×Q8C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2411yescharacteristic
851C22×D4C2411yescharacteristic
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2414yes—
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C4⋊Q8—216no—
875C4⋊Q8—28no—
876C4⋊Q8—28no—
877C4⋊Q8—44no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881C4⋊Q8—48no—
882C4⋊Q8—42no—
883C4⋊Q8—48no—
884C4⋊Q8—48no—
885#127—42no—
886#126—48no—
887#126—48no—
888#125—28no—
889#125—28no—
890#124—28no—
891#124—48no—
892#124—42no—
893#124—42no—
894#124—44no—
895#124—48no—
896#124—48no—
897#123—48no—
898#123—48no—
899C22⋊Q8—28no—
900C22⋊Q8—216no—
901C22⋊Q8—28no—
902C22⋊Q8—28no—
903C22⋊Q8—48no—
904C22⋊Q8—48no—
905C22⋊Q8—44no—
906C22⋊Q8—48no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909#121—216no—
910#121—28no—
911#121—28no—
912#121—48no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—48no—
918C4×Q8—28no—
919C4×Q8—42no—
920C4×Q8—42no—
921C4×Q8—42no—
922C4×Q8—42no—
923C4×Q8—42no—
924C4×Q8—42no—
925C4×Q8—42no—
926C4×Q8—42no—
927C4×Q8—48no—
928C4×Q8—42no—
929C4×Q8—42no—
930C4×Q8—44no—
931C4×D4—216no—
932C4×D4—28no—
933C4×D4—42no—
934C4×D4—42no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—48no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—48no—
942#117—24no—
943#117—24no—
944#117—24no—
945#117—24no—
946#117—24no—
947#117—28no—
948#117—44no—
949#117—48no—
950#117—44no—
951C2×C4⋊C4—24no—
952C2×C4⋊C4—24no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—28no—
955C2×C4⋊C4—44no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4—44no—
959C2×C4⋊C4—44no—
960C2×C4⋊C4—42no—
961C2×C4⋊C4—42no—
962C2×C4⋊C4—42no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4#4118yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C42—24no—
1088C2×C42—24no—
1089C2×C42—24no—
1090C2×C42—44no—
1091C2×C42—44no—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195C24C2512yes—
1196C24C2512yes—
1197C24C2512yes—
1198C24C2511yescharacteristic
1199#41—416no—
1200#41—416no—
1201#41—416no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—28no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—28no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—28no—
1219C2×Q8—41no—
1220C2×Q8—41no—
1221C2×Q8—41no—
1222C2×Q8—41no—
1223C2×Q8—41no—
1224C2×Q8—41no—
1225C2×Q8—44no—
1226C2×Q8—44no—
1227C2×Q8—44no—
1228C2×Q8—44no—
1229C2×Q8—44no—
1230C2×Q8—44no—
1231C2×Q8—416no—
1232C2×Q8—816no—
1233C2×Q8H(5,𝔽2)14yes—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—28no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—24no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—28no—
1287C22×C4—24no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—42no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—44no—
1301C22×C4—42no—
1302C22×C4—44no—
1303C22×C4—41no—
1304C22×C4—42no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4C2×#4118yes—
1315C22×C4C2×#4114yes—
1316C22×C4H(5,𝔽2)14yes—
1317C22×C42−1+414yes—
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2514yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2514yes—
1338C22×C4C2514yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2514yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C4⋊C4—22no—
1350C4⋊C4—28no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—28no—
1357C4⋊C4—28no—
1358C4⋊C4—28no—
1359C4⋊C4—28no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—28no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—28no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—44no—
1379C4⋊C4—41no—
1380C4⋊C4—41no—
1381C4⋊C4—41no—
1382C4⋊C4—41no—
1383C4⋊C4—41no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—41no—
1389C4⋊C4—41no—
1390C4⋊C4—41no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4C2×#4118yes—
1417C4⋊C4C2×#4118yes—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C42—28no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—22no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—24no—
1488C42—28no—
1489C42—24no—
1490C42—24no—
1491C42—42no—
1492C42—42no—
1493C42—44no—
1494C42—44no—
1495C42—42no—
1496C42—42no—
1497C42—44no—
1498C42—44no—
1499C42—44no—
1500C42—42no—
1501C42—44no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23C22×#4112yes—
1528C23C2×H(5,𝔽2)12yes—
1529C23C2×2−1+412yes—
1530C23C2611yescharacteristic
1531Q8—44no—
1532Q8—44no—
1533Q8—44no—
1534Q8—44no—
1535Q8—44no—
1536Q8—44no—
1537Q8—44no—
1538Q8—88no—
1539Q8—88no—
1540Q8—88no—
1541D4—48no—
1542D4—48no—
1543D4—48no—
1544D4—44no—
1545D4—44no—
1546D4—44no—
1547D4—88no—
1548D4—84no—
1549D4—84no—
1550D4—164no—
1551C2×C4—28no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—24no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—48no—
1635C2×C4—44no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—48no—
1639C2×C4—48no—
1640C2×C4—48no—
1641C2×C4—48no—
1642C2×C4—88no—
1643C2×C4—84no—
1644C2×C4—82no—
1645C2×C4—82no—
1646C2×C4—84no—
1647C2×C4—84no—
1648C2×C4—84no—
1649C2×C4—164no—
1650C2×C4#542116yescomplemented
1651C2×C4C22×#4118yes—
1652C2×C4C22×#4112yes—
1653C2×C4C22×#4112yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C2×C4C2×H(5,𝔽2)12yes—
1656C2×C4C2×H(5,𝔽2)12yes—
1657C2×C4C2×H(5,𝔽2)12yes—
1658C2×C4C2×H(5,𝔽2)12yes—
1659C2×C4C2×2−1+412yes—
1660C2×C4C2×2−1+412yes—
1661C2×C4#58512yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22C2×#54214yes—
1690C22C23×#4111yescharacteristic
1691C22C22×H(5,𝔽2)11yescharacteristic
1692C22C22×H(5,𝔽2)11yescharacteristic
1693C22C22×2−1+411yescharacteristic
1694C22C2×#58511yescharacteristic
1695C222−1+611yescharacteristic
1696C222−1+611yescharacteristic
1697C4—28no—
1698C4—22no—
1699C4—22no—
1700C4—22no—
1701C4—22no—
1702C4—42no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—41no—
1709C4—41no—
1710C4—42no—
1711C4—44no—
1712C4—44no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—42no—
1718C4—41no—
1719C4—41no—
1720C4—42no—
1721C4—44no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4C2×#54214yes—
1727C4C2×#54214yes—
1728C2—24no—
1729C2—82no—
1730C2—82no—
1731C2—82no—
1732C2C22×#54211yescharacteristic
1733C2#6281811yescharacteristic
1734C2#6288611yescharacteristic
1735C2#6291311yescharacteristic
1736C2#6295611yescharacteristic
1737C2#6298411yescharacteristic
1738C2#6300711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35564C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42756C2semidirect
2. #42751C2semidirect
3. #42735C2semidirect
4. #42734C2semidirect
5. #42637C2semidirect
6. #42632C2semidirect
7. #42558C2semidirect
8. #42554C2semidirect
9. #40667C2semidirect
10. #40665C2semidirect
11. #40222C2semidirect
12. #40212C2semidirect
13. #40083C2semidirect
14. #40071C2semidirect
15. #39411C2semidirect
16. #39398C2semidirect
17. #39247C2semidirect
18. #39240C2semidirect
19. #38480C2semidirect
20. #37704C2semidirect
21. #35592C2semidirect
22. #35575C2semidirect
23. #35574C2semidirect
25. #35545C2semidirect
26. #35517C2semidirect
27. #35267C2semidirect
28. #35255C2semidirect
29. #35158C2semidirect
30. #34955C2semidirect
31. #34952C2semidirect
32. C2×#2546C2semidirect
33. #34272C2semidirect
34. #34267C2semidirect
35. #34252C2semidirect
1650. C2×C4#542semidirect

Maximal subgroups

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

subgroupindex
#427562
#427512
#427352
#427342
#426372
#426322
#425582
#425542
#406672
#406652
#402222
#402122
#400832
#400712
#394112
#393982
#392472
#392402
#384802
#377042
#355922
#355752
#355742
#355642
#355452
#355172
#352672
#352552
#351582
#349552
#349522
C2×#25462
#342722
#342672
#342522