Finite Group Databasebeta

← #7657418

Subgroups — #7657418

Order 512.

4988 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42615C212yesmaximal, complemented
2#42613C212yesmaximal, complemented
3#42610C212yesmaximal, complemented
4#42605C212yesmaximal, complemented
5#41312C214yesmaximal, complemented
6#41303C214yesmaximal, complemented
7#41299C214yesmaximal, complemented
8#41294C214yesmaximal, complemented
9#39498C211yesmaximal, characteristic, complemented
10#39437C212yesmaximal, complemented
11#39435C212yesmaximal, complemented
12#39360C211yesmaximal, characteristic, complemented
13#39343C211yesmaximal, characteristic, complemented
14#39340C211yesmaximal, characteristic
15#37947C212yesmaximal, complemented
16#37749C212yesmaximal, complemented
17#37628C211yesmaximal, characteristic, complemented
18#37627C211yesmaximal, characteristic, complemented
19#37500C212yesmaximal, complemented
20#37495C212yesmaximal, complemented
21#36599C211yesmaximal, characteristic, complemented
22#36586C211yesmaximal, characteristic, complemented
23#36174C211yesmaximal, characteristic, complemented
24#36134C211yesmaximal, characteristic, complemented
25#35989C212yesmaximal, complemented
26#35947C212yesmaximal, complemented
27#35890C212yesmaximal, complemented
28#35747C212yesmaximal, complemented
29#35319C211yesmaximal, characteristic, complemented
30#35308C212yesmaximal, complemented
31#34627C212yesmaximal, complemented
32#34619C211yesmaximal, characteristic, complemented
33#34334C211yesmaximal, characteristic, complemented
34#34316C211yesmaximal, characteristic, complemented
35#34141C211yesmaximal, characteristic, complemented
36C2×D4×Q8C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#541C2212yes—
39C2×#537C2212yes—
40C2×#536C2212yes—
41C2×#536C2212yes—
42C2×#533C2212yes—
43C2×#532C2211yescharacteristic
44C2×C4×#41C2212yes—
45#2868C2211yescharacteristic
46#2859C2211yescharacteristic
47#2857C2212yes—
48#2857C2212yes—
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2850C2212yes—
52#2850C2212yes—
53#2837C2214yes—
54#2836C2214yes—
55#2833C2214yes—
56#2831C2214yes—
57#2827C2214yes—
58#2826C2214yes—
59#2807C2214yes—
60#2788C2214yes—
61#2776C2214yes—
62#2770C2214yes—
63#2746C2214yes—
64#2739C2214yes—
65#2715C2214yes—
66#2713C2214yes—
67#2711C2214yes—
68#2696C2214yes—
69#2695C2214yes—
70#2694C2214yes—
71#2694C2214yes—
72#2692C2214yes—
73#2691C2214yes—
74#2691C2214yes—
75#2690C2214yes—
76#2690C2214yes—
77#2680C2214yes—
78#2680C2214yes—
79#2674C2214yes—
80#2672C2214yes—
81#2672C2214yes—
82#2671C2214yes—
83#2666C2214yes—
84#2654C2212yes—
85#2654C2214yes—
86#2653C2212yes—
87#2652C2214yes—
88#2651C2214yes—
89#2650C2212yes—
90#2650C2214yes—
91#2649C2212yes—
92#2649C2214yes—
93#2649C2214yes—
94#2648C2214yes—
95#2647C2211yescharacteristic
96#2647C2212yes—
97#2646C2214yes—
98#2645C2211yescharacteristic
99#2644C2212yes—
100#2644C2211yescharacteristic
101#2643C2214yes—
102#2642C2212yes—
103#2640C2211yescharacteristic
104#2638C2214yes—
105#2638C2214yes—
106#2634C2214yes—
107#2633C2214yes—
108#2629C2212yes—
109#2628C2211yescharacteristic
110#2628C2212yes—
111#2625C2211yescharacteristic
112#2625C2212yes—
113#2625C2212yes—
114#2624C2211yescharacteristic
115#2624C2212yes—
116#2621C2212yes—
117#2621C2212yes—
118#2621C2212yes—
119#2620C2211yescharacteristic
120#2620C2212yes—
121#2616C2212yes—
122#2616C2212yes—
123#2606C2214yes—
124#2597C2214yes—
125#2596C2214yes—
126#2587C2214yes—
127#2585C2214yes—
128#2584C2212yes—
129#2580C2212yes—
130#2578C2214yes—
131#2571C2211yescharacteristic
132#2569C2214yes—
133#2559C2214yes—
134#2559C2214yes—
135#2558C2214yes—
136#2556C2214yes—
137#2553C2214yes—
138#2552C2212yes—
139#2552C2211yescharacteristic
140#2551C2212yes—
141#2550C2214yes—
142#2547C2211yescharacteristic
143#2546C2211yescharacteristic
144#2542C2211yescharacteristic
145#2542C2211yescharacteristic
146#2538C2212yes—
147#2538C2211yescharacteristic
148#2537C2211yescharacteristic
149#2537C2212yes—
150#2530C2214yes—
151#2526C2214yes—
152#2522C2214yes—
153#2521C2214yes—
154#2518C2214yes—
155#2514C2212yes—
156#2513C2212yes—
157#2511C2212yes—
158#2510C2214yes—
159#2510C2214yes—
160#2509C2212yes—
161#2509C2212yes—
162#2507C2212yes—
163#2506C2212yes—
164#2506C2212yes—
165#2506C2212yes—
166#2506C2212yes—
167#2505C2214yes—
168#2497C2212yes—
169#2496C2212yes—
170#2496C2212yes—
171#2496C2212yes—
172#2496C2212yes—
173#2495C2212yes—
174#2494C2212yes—
175#2491C2212yes—
176#2490C2214yes—
177#2490C2212yes—
178#2490C2212yes—
179#2489C2212yes—
180#2487C2212yes—
181#2477C2214yes—
182#2471C2214yes—
183#2465C2214yes—
184#2458C2214yes—
185#2454C2212yes—
186#2448C2212yes—
187#2446C2212yes—
188#2445C2212yes—
189#2442C2212yes—
190#2442C2212yes—
191#2441C2212yes—
192#2441C2214yes—
193#2440C2212yes—
194#2440C2212yes—
195#2440C2212yes—
196#2434C2212yes—
197#2432C2212yes—
198#2429C2212yes—
199#2429C2212yes—
200#2429C2212yes—
201#2429C2214yes—
202#2429C2214yes—
203#2428C2212yes—
204#2427C2214yes—
205#2427C2214yes—
206#2426C2212yes—
207#2425C2214yes—
208#2425C2214yes—
209#2425C2214yes—
210#2425C2214yes—
211#2423C2212yes—
212#2423C2214yes—
213#2422C2212yes—
214#2422C2212yes—
215#2422C2212yes—
216#2421C2212yes—
217#2420C2212yes—
218#2417C2212yes—
219#2416C2212yes—
220#2415C2212yes—
221#2409C2212yes—
222#2407C2212yes—
223#2401C2212yes—
224#2399C2214yes—
225#2398C2212yes—
226#2398C2214yes—
227#2396C2212yes—
228#2395C2214yes—
229#2395C2212yes—
230#2395C2214yes—
231#2374C2214yes—
232#2370C2212yes—
233#2369C2212yes—
234#2368C2214yes—
235#2367C2212yes—
236#2367C2212yes—
237#2366C2211yescharacteristic
238#2366C2211yescharacteristic
239#2365C2211yescharacteristic
240#2365C2211yescharacteristic
241#2365C2211yescharacteristic
242#2365C2211yescharacteristic
243#2364C2212yes—
244#2364C2212yes—
245#2363C2212yes—
246#2363C2212yes—
247#2362C2212yes—
248#2361C2211yescharacteristic
249#2361C2211yescharacteristic
250#2361C2211yescharacteristic
251#2361C2211yescharacteristic
252#2360C2212yes—
253#2355C2211yescharacteristic
254#2354C2211yescharacteristic
255#2354C2211yescharacteristic
256#2354C2212yes—
257#2352C2212yes—
258Q8×C4⋊C4C2212yes—
259#2349C2212yes—
260D4×C4⋊C4C2211yescharacteristic
261#2347C2212yes—
262#2346C2212yes—
263#2345C2212yes—
264#2345C2212yes—
265#2341C2212yes—
266Q8×C22⋊C4C2212yes—
267#2335C2214yes—
268#2331C2212yes—
269#2329C2214yes—
270#2327C2212yes—
271#2324C2212yes—
272#2317C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×#124C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×#121C2211yescharacteristic
283#2297C2212yes—
284#2297C2212yes—
285#2295C2211yescharacteristic
286C2×#391C2212yes—
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2211yescharacteristic
290#2290C2212yes—
291#2290C2212yes—
292#2283C2212yes—
293#2275C2212yes—
294#2274C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2312yes—
302D4×Q8—28no—
303#547—28no—
304#541—48no—
305#537—48no—
306#536—48no—
307#536—48no—
308#533—48no—
309#532—28no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2314yes—
319C2×#127C2311yescharacteristic
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C4×#41—48no—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2314yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2314yes—
395C2×#117C2312yes—
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2311yescharacteristic
400C22×C42C2312yes—
401C22×C42C2311yescharacteristic
402C22×C42C2312yes—
403C22×C42C2312yes—
404#401C2312yes—
405#401C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2312yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2312yes—
434#399C2312yes—
435#399C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2312yes—
455#398C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2312yes—
478#397C2312yes—
479#397C2312yes—
480#396C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#396C2312yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2312yes—
516#394C2312yes—
517#394C2312yes—
518#393C2314yes—
519#393C2314yes—
520#393C2312yes—
521#393C2312yes—
522#393C2312yes—
523#392C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#391C2312yes—
529#391C2312yes—
530#391C2314yes—
531#391C2314yes—
532#391C2312yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2312yes—
536#391C2311yescharacteristic
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2314yes—
542#391C2311yescharacteristic
543#391C2311yescharacteristic
544#390C2312yes—
545#390C2314yes—
546#390C2311yescharacteristic
547#390C2314yes—
548#390C2312yes—
549#390C2311yescharacteristic
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2311yescharacteristic
562#390C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2312yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#386C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2312yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2312yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2312yes—
713#384C2312yes—
714#384C2312yes—
715#384C2312yes—
716#384C2312yes—
717#384C2312yes—
718#383C2314yes—
719#383C2314yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2314yes—
725#382C2311yescharacteristic
726#381C2314yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2311yescharacteristic
811#376C2312yes—
812#376C2314yes—
813#376C2311yescharacteristic
814C2×#95C2312yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8—28no—
826C22×Q8—44no—
827C22×Q8—44no—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C4⋊Q8—24no—
860C4⋊Q8—28no—
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—24no—
864C4⋊Q8—28no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867C4⋊Q8—48no—
868#127—24no—
869#126—48no—
870#126—48no—
871#125—44no—
872#125—48no—
873#125—44no—
874#125—48no—
875#125—48no—
876#124—28no—
877#124—24no—
878#124—44no—
879#124—48no—
880#123—216no—
881#123—48no—
882#123—48no—
883#123—48no—
884#123—48no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—24no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—216no—
891C22⋊Q8—48no—
892C22⋊Q8—48no—
893C22⋊Q8—48no—
894C22⋊Q8—44no—
895C22⋊Q8—44no—
896C22⋊Q8—48no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900#121—24no—
901#121—28no—
902#121—24no—
903#121—24no—
904#121—28no—
905#121—48no—
906#121—48no—
907#121—48no—
908#121—44no—
909#121—44no—
910C4×Q8—24no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×Q8—48no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—42no—
928C4×D4—44no—
929C4×D4—42no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4#4118yes—
936#117—24no—
937#117—28no—
938#117—24no—
939#117—28no—
940#117—44no—
941#117—44no—
942#117—48no—
943#117—44no—
944C2×C4⋊C4—28no—
945C2×C4⋊C4—24no—
946C2×C4⋊C4—42no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C42—24no—
1075C2×C42—28no—
1076C2×C42—44no—
1077C2×C42—44no—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2414yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184C24C2512yes—
1185C24C2512yes—
1186C24C2512yes—
1187C24C2511yescharacteristic
1188#41—432no—
1189#41—816no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—28no—
1195C2×Q8—24no—
1196C2×Q8—24no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—22no—
1201C2×Q8—24no—
1202C2×Q8—22no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×Q8—816no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—28no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4C2×#4114yes—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—28no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—28no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4C2×#4118yes—
1283C22×C4H(5,𝔽2)14yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2514yes—
1296C22×C4C2514yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2512yes—
1306C22×C4C2514yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—28no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—28no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—28no—
1341C4⋊C4—28no—
1342C4⋊C4—24no—
1343C4⋊C4—28no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4C2×#4114yes—
1386C4⋊C42−1+414yes—
1387C22⋊C4—24no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—28no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4C2×#4118yes—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—24no—
1448C42—22no—
1449C42—24no—
1450C42—22no—
1451C42—22no—
1452C42—28no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—24no—
1457C42—24no—
1458C42—22no—
1459C42—42no—
1460C42—42no—
1461C42—42no—
1462C42—42no—
1463C42—41no—
1464C42—41no—
1465C42—41no—
1466C42—41no—
1467C42—44no—
1468C42—44no—
1469C42—44no—
1470C42—44no—
1471C42—44no—
1472C42—44no—
1473C42C2×#4114yes—
1474C42H(5,𝔽2)14yes—
1475C23—21no—
1476C23—22no—
1477C23—21no—
1478C23—22no—
1479C23—22no—
1480C23—21no—
1481C23—22no—
1482C23—21no—
1483C23—22no—
1484C23—21no—
1485C23—22no—
1486C23—21no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23C22×#4114yes—
1502C23C2×H(5,𝔽2)12yes—
1503C23C2611yescharacteristic
1504Q8—48no—
1505Q8—48no—
1506Q8—48no—
1507Q8—44no—
1508Q8—48no—
1509Q8—88no—
1510D4—28no—
1511D4—48no—
1512D4—48no—
1513D4—48no—
1514D4—44no—
1515D4—44no—
1516D4—84no—
1517D4—84no—
1518D4—88no—
1519D4—164no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—216no—
1533C2×C4—28no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—24no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—48no—
1604C2×C4—44no—
1605C2×C4—48no—
1606C2×C4—48no—
1607C2×C4—82no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—84no—
1611C2×C4—88no—
1612C2×C4—88no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—164no—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4114yes—
1618C2×C4C22×#4112yes—
1619C2×C4C22×#4112yes—
1620C2×C4C2×H(5,𝔽2)12yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4C2×H(5,𝔽2)12yes—
1623C2×C4C2×H(5,𝔽2)12yes—
1624C2×C4C2×H(5,𝔽2)12yes—
1625C2×C4C2×2−1+414yes—
1626C2×C4C2×2−1+412yes—
1627C2×C4#58512yes—
1628C22—24no—
1629C22—22no—
1630C22—24no—
1631C22—22no—
1632C22—24no—
1633C22—22no—
1634C22—41no—
1635C22—41no—
1636C22—42no—
1637C22—42no—
1638C22—41no—
1639C22—41no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22C23×#4111yescharacteristic
1657C22C22×H(5,𝔽2)11yescharacteristic
1658C22C22×H(5,𝔽2)11yescharacteristic
1659C22C22×2−1+411yescharacteristic
1660C22C2×#58511yescharacteristic
1661C222−1+611yescharacteristic
1662C222−1+611yescharacteristic
1663C4—24no—
1664C4—22no—
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—24no—
1669C4—42no—
1670C4—42no—
1671C4—44no—
1672C4—44no—
1673C4—42no—
1674C4—41no—
1675C4—42no—
1676C4—41no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—41no—
1681C4—41no—
1682C4—42no—
1683C4—42no—
1684C4—44no—
1685C4—41no—
1686C4—42no—
1687C4—42no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—44no—
1692C4#346114yes—
1693C4#351914yes—
1694C2—44no—
1695C2—42no—
1696C2—82no—
1697C2—82no—
1698C2C2×#346111yescharacteristic
1699C2C2×#351911yescharacteristic
1700C2#6286111yescharacteristic
1701C2#6292511yescharacteristic
1702C2#6293111yescharacteristic
1703C2#6294211yescharacteristic
1704C2#6294611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39340C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42615C2semidirect
2. #42613C2semidirect
3. #42610C2semidirect
4. #42605C2semidirect
5. #41312C2semidirect
6. #41303C2semidirect
7. #41299C2semidirect
8. #41294C2semidirect
9. #39498C2semidirect
10. #39437C2semidirect
11. #39435C2semidirect
12. #39360C2semidirect
13. #39343C2semidirect
15. #37947C2semidirect
16. #37749C2semidirect
17. #37628C2semidirect
18. #37627C2semidirect
19. #37500C2semidirect
20. #37495C2semidirect
21. #36599C2semidirect
22. #36586C2semidirect
23. #36174C2semidirect
24. #36134C2semidirect
25. #35989C2semidirect
26. #35947C2semidirect
27. #35890C2semidirect
28. #35747C2semidirect
29. #35319C2semidirect
30. #35308C2semidirect
31. #34627C2semidirect
32. #34619C2semidirect
33. #34334C2semidirect
34. #34316C2semidirect
35. #34141C2semidirect

Maximal subgroups

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

subgroupindex
#426152
#426132
#426102
#426052
#413122
#413032
#412992
#412942
#394982
#394372
#394352
#393602
#393432
#393402
#379472
#377492
#376282
#376272
#375002
#374952
#365992
#365862
#361742
#361342
#359892
#359472
#358902
#357472
#353192
#353082
#346272
#346192
#343342
#343162
#341412