Finite Group Databasebeta

← #7652133

Subgroups — #7652133

Order 512.

4706 conjugacy classes of subgroups.

The subgroup lattice has 1689 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42775C212yesmaximal, complemented
2#42756C212yesmaximal, complemented
3#42711C212yesmaximal, complemented
4#42701C212yesmaximal, complemented
5#42699C212yesmaximal, complemented
6#42698C212yesmaximal, complemented
7#42568C212yesmaximal, complemented
8#42526C212yesmaximal, complemented
9#40865C214yesmaximal, complemented
10#40811C214yesmaximal, complemented
11#40166C212yesmaximal, complemented
12#40083C212yesmaximal, complemented
13#40022C212yesmaximal, complemented
14#40021C212yesmaximal, complemented
15#39652C212yesmaximal, complemented
16#39643C212yesmaximal, complemented
17#39216C212yesmaximal, complemented
18#39200C212yesmaximal, complemented
19#38606C214yesmaximal, complemented
20#38575C214yesmaximal, complemented
21#35628C211yesmaximal, characteristic, complemented
22#35621C211yesmaximal, characteristic
23#35557C211yesmaximal, characteristic, complemented
24#35532C211yesmaximal, characteristic, complemented
25#35519C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic
27#35313C211yesmaximal, characteristic, complemented
28#35312C211yesmaximal, characteristic, complemented
29#35182C211yesmaximal, characteristic, complemented
30#34955C211yesmaximal, characteristic
31#34953C211yesmaximal, characteristic, complemented
32C2×#2582C211yesmaximal, characteristic, complemented
33#34272C211yesmaximal, characteristic, complemented
34#34266C211yesmaximal, characteristic, complemented
35#34253C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44C22×C4×Q8C2211yescharacteristic
45#2863C2212yes—
46#2863C2212yes—
47#2862C2212yes—
48#2861C2212yes—
49#2853C2214yes—
50#2839C2214yes—
51#2838C2214yes—
52#2837C2214yes—
53#2831C2214yes—
54#2801C2214yes—
55#2799C2214yes—
56#2799C2214yes—
57#2790C2214yes—
58#2777C2214yes—
59#2775C2214yes—
60#2774C2214yes—
61#2773C2214yes—
62#2773C2214yes—
63#2772C2214yes—
64#2770C2214yes—
65#2767C2214yes—
66#2766C2214yes—
67#2765C2214yes—
68#2758C2214yes—
69#2757C2214yes—
70#2755C2214yes—
71#2755C2214yes—
72#2754C2214yes—
73#2754C2214yes—
74#2747C2214yes—
75#2745C2214yes—
76#2742C2214yes—
77#2738C2214yes—
78#2731C2214yes—
79#2718C2214yes—
80#2716C2214yes—
81#2702C2214yes—
82#2700C2214yes—
83#2698C2214yes—
84#2692C2214yes—
85#2687C2214yes—
86#2666C2214yes—
87#2665C2214yes—
88#2663C2214yes—
89#2655C2214yes—
90#2654C2214yes—
91#2654C2214yes—
92#2653C2214yes—
93#2651C2214yes—
94#2650C2214yes—
95#2647C2214yes—
96#2645C2212yes—
97#2645C2212yes—
98#2642C2212yes—
99#2640C2212yes—
100#2637C2214yes—
101#2625C2214yes—
102#2623C2214yes—
103#2592C2211yescharacteristic
104#2592C2211yescharacteristic
105#2592C2212yes—
106#2592C2212yes—
107#2592C2211yescharacteristic
108#2592C2211yescharacteristic
109#2591C2212yes—
110#2591C2212yes—
111#2584C2211yescharacteristic
112#2584C2211yescharacteristic
113#2584C2211yescharacteristic
114#2584C2211yescharacteristic
115#2583C2212yes—
116#2583C2212yes—
117#2582C2212yes—
118#2582C2212yes—
119#2582C2212yes—
120#2582C2212yes—
121#2582C2212yes—
122#2582C2212yes—
123#2582C2212yes—
124#2582C2212yes—
125#2582C2212yes—
126#2581C2212yes—
127#2580C2212yes—
128#2568C2212yes—
129#2568C2212yes—
130#2568C2211yescharacteristic
131#2568C2211yescharacteristic
132#2567C2211yescharacteristic
133#2567C2212yes—
134#2567C2211yescharacteristic
135#2566C2212yes—
136#2565C2212yes—
137#2548C2211yescharacteristic
138#2548C2211yescharacteristic
139#2547C2212yes—
140#2546C2211yescharacteristic
141#2546C2212yes—
142#2546C2211yescharacteristic
143#2545C2212yes—
144#2544C2212yes—
145#2542C2212yes—
146#2538C2212yes—
147#2532C2214yes—
148#2527C2214yes—
149#2525C2214yes—
150#2521C2214yes—
151#2520C2214yes—
152#2514C2212yes—
153#2514C2212yes—
154#2512C2212yes—
155#2512C2212yes—
156#2511C2212yes—
157#2511C2212yes—
158#2511C2212yes—
159#2511C2212yes—
160#2509C2214yes—
161#2508C2214yes—
162#2504C2212yes—
163#2502C2212yes—
164#2497C2212yes—
165#2497C2212yes—
166#2496C2212yes—
167#2496C2212yes—
168#2493C2214yes—
169#2493C2214yes—
170#2492C2214yes—
171#2492C2212yes—
172#2492C2212yes—
173#2492C2212yes—
174#2492C2212yes—
175#2489C2212yes—
176#2489C2212yes—
177#2489C2212yes—
178#2489C2212yes—
179#2488C2214yes—
180#2488C2214yes—
181#2488C2214yes—
182#2488C2214yes—
183#2487C2212yes—
184#2486C2212yes—
185#2485C2212yes—
186#2485C2212yes—
187#2481C2214yes—
188#2481C2214yes—
189#2479C2214yes—
190#2470C2214yes—
191#2465C2214yes—
192#2450C2214yes—
193#2449C2214yes—
194#2449C2214yes—
195#2449C2214yes—
196#2448C2212yes—
197#2448C2212yes—
198#2448C2212yes—
199#2447C2212yes—
200#2446C2212yes—
201#2446C2212yes—
202#2446C2212yes—
203#2445C2212yes—
204#2444C2214yes—
205#2443C2214yes—
206#2442C2212yes—
207#2441C2212yes—
208#2441C2212yes—
209#2441C2212yes—
210#2440C2212yes—
211#2440C2212yes—
212#2440C2212yes—
213#2439C2212yes—
214#2436C2212yes—
215#2434C2212yes—
216#2425C2214yes—
217#2425C2214yes—
218#2423C2212yes—
219#2423C2214yes—
220#2423C2212yes—
221#2421C2212yes—
222#2421C2212yes—
223#2417C2212yes—
224#2417C2212yes—
225#2415C2212yes—
226#2415C2212yes—
227#2399C2212yes—
228#2399C2212yes—
229#2398C2212yes—
230#2398C2212yes—
231C2×#398C2212yes—
232C2×#398C2212yes—
233#2370C2212yes—
234#2370C2212yes—
235#2369C2212yes—
236#2368C2214yes—
237#2367C2212yes—
238#2367C2212yes—
239#2365C2212yes—
240#2365C2212yes—
241#2365C2212yes—
242#2362C2212yes—
243#2362C2212yes—
244#2360C2212yes—
245#2360C2212yes—
246#2360C2214yes—
247#2353C2214yes—
248#2352C2214yes—
249#2347C2212yes—
250#2346C2212yes—
251#2345C2212yes—
252#2344C2212yes—
253#2337C2214yes—
254#2334C2214yes—
255#2331C2212yes—
256#2331C2214yes—
257#2330C2212yes—
258#2323C2214yes—
259#2322C2214yes—
260#2320C2212yes—
261#2319C2212yes—
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2316C2211yescharacteristic
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2310C2211yescharacteristic
270#2310C2211yescharacteristic
271C4×C4⋊Q8C2212yes—
272C4×C4⋊Q8C2212yes—
273C4×C4⋊Q8C2212yes—
274C4×#125C2212yes—
275C4×#124C2212yes—
276C4×#124C2212yes—
277C4×#123C2214yes—
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286#2295C2212yes—
287C2×#391C2211yescharacteristic
288C2×#391C2211yescharacteristic
289C2×#391C2212yes—
290#2293C2212yes—
291C2×#389C2212yes—
292C2×#389C2211yescharacteristic
293C2×#389C2211yescharacteristic
294C2×#384C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303#544—28no—
304#536—28no—
305#536—44no—
306#533—44no—
307#532—44no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345#520—28no—
346#520—44no—
347C2×C4×Q8—44no—
348C2×C4×Q8—44no—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2314yes—
380C2×#117C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2312yes—
398#401C2314yes—
399#401C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2314yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
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#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#395C2314yes—
483#395C2312yes—
484#395C2312yes—
485#395C2312yes—
486#395C2312yes—
487#395C2314yes—
488#395C2314yes—
489#395C2312yes—
490#395C2312yes—
491#395C2312yes—
492#395C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2312yes—
505#393C2314yes—
506#393C2312yes—
507#393C2312yes—
508#393C2312yes—
509#393C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2312yes—
535#391C2312yes—
536#391C2314yes—
537#391C2311yescharacteristic
538#391C2311yescharacteristic
539#391C2314yes—
540#391C2312yes—
541#391C2314yes—
542#391C2314yes—
543#391C2314yes—
544#391C2312yes—
545#391C2312yes—
546#391C2314yes—
547#391C2314yes—
548#391C2314yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2314yes—
554#391C2314yes—
555#391C2314yes—
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2311yescharacteristic
563#390C2311yescharacteristic
564#390C2311yescharacteristic
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2314yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2314yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
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#388C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
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#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#385C2314yes—
724#384C2312yes—
725#384C2312yes—
726#384C2312yes—
727#384C2312yes—
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#383C2314yes—
733#383C2314yes—
734#383C2314yes—
735#382C2312yes—
736#382C2312yes—
737#382C2314yes—
738#382C2314yes—
739#382C2312yes—
740#382C2312yes—
741#382C2314yes—
742#382C2314yes—
743#382C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
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⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C43C2312yes—
818C43C2312yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C22×Q8—24no—
826C22×Q8—24no—
827C22×Q8—24no—
828C22×Q8—24no—
829C22×Q8—42no—
830C22×Q8—42no—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×Q8C2414yes—
839C22×Q8C2412yes—
840C22×Q8C2412yes—
841C22×Q8C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2411yescharacteristic
863C4⋊Q8—28no—
864C4⋊Q8—28no—
865C4⋊Q8—28no—
866C4⋊Q8—28no—
867C4⋊Q8—42no—
868C4⋊Q8—42no—
869C4⋊Q8—42no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872#127—42no—
873#126—48no—
874#126—84no—
875#125—28no—
876#125—28no—
877#125—42no—
878#125—42no—
879#124—28no—
880#124—28no—
881#124—42no—
882#124—42no—
883#124—44no—
884#124—44no—
885#123—216no—
886#123—48no—
887#123—84no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—216no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—48no—
894C22⋊Q8—44no—
895C22⋊Q8—44no—
896C22⋊Q8—84no—
897C22⋊Q8—84no—
898#121—44no—
899#121—44no—
900C4×Q8—28no—
901C4×Q8—42no—
902C4×Q8—42no—
903C4×Q8—42no—
904C4×Q8—42no—
905C4×Q8—42no—
906C4×Q8—42no—
907C4×Q8—42no—
908C4×Q8—42no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×Q8—84no—
917C4×D4—216no—
918C4×D4—28no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—48no—
923#117—24no—
924#117—24no—
925#117—24no—
926#117—24no—
927#117—24no—
928#117—28no—
929#117—44no—
930#117—84no—
931#117#4118yes—
932C2×C4⋊C4—24no—
933C2×C4⋊C4—24no—
934C2×C4⋊C4—24no—
935C2×C4⋊C4—28no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4—42no—
939C2×C4⋊C4—42no—
940C2×C4⋊C4—42no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4—82no—
943C2×C4⋊C4—82no—
944C2×C4⋊C4—82no—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C42—24no—
1065C2×C42—24no—
1066C2×C42—24no—
1067C2×C42—44no—
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180C24C2512yes—
1181C24C2512yes—
1182C24C2511yescharacteristic
1183#41—416no—
1184#41—416no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—28no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—24no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—41no—
1205C2×Q8—41no—
1206C2×Q8—41no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—41no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—44no—
1213C2×Q8—44no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—416no—
1218C2×Q8—416no—
1219C2×Q82−1+414yes—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—28no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—42no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4C2×#4114yes—
1281C22×C4H(5,𝔽2)14yes—
1282C22×C42−1+414yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2514yes—
1300C22×C4C2512yes—
1301C22×C4C2514yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—28no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4C2×#4114yes—
1393C4⋊C4C2×#4114yes—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
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—44no—
1432C22⋊C4—42no—
1433C22⋊C4C2×#4118yes—
1434C42—28no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—24no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C42—42no—
1458C42—42no—
1459C42—44no—
1460C42—42no—
1461C42—44no—
1462C42—42no—
1463C42—44no—
1464C42—42no—
1465C42—44no—
1466C42—42no—
1467C42C2×#4118yes—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23C22×#4112yes—
1487C23C2×H(5,𝔽2)12yes—
1488C23C2×2−1+412yes—
1489C23C2611yescharacteristic
1490Q8—44no—
1491Q8—44no—
1492Q8—44no—
1493Q8—44no—
1494Q8—48no—
1495Q8—48no—
1496Q8—44no—
1497Q8—44no—
1498Q8—88no—
1499Q8—84no—
1500Q8—84no—
1501D4—48no—
1502D4—48no—
1503D4—44no—
1504D4—44no—
1505D4—84no—
1506D4—84no—
1507C2×C4—28no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—24no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—48no—
1596C2×C4—48no—
1597C2×C4—48no—
1598C2×C4—88no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4—82no—
1602C2×C4—82no—
1603C2×C4—84no—
1604C2×C4—164no—
1605C2×C4#542116yes—
1606C2×C4C22×#4114yes—
1607C2×C4C22×#4114yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×H(5,𝔽2)12yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4C2×2−1+412yes—
1614C2×C4C2×2−1+412yes—
1615C2×C4C2×2−1+412yes—
1616C2×C4C2×2−1+412yes—
1617C2×C4#58512yes—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22C2×#54214yes—
1639C22C23×#4111yescharacteristic
1640C22C22×H(5,𝔽2)11yescharacteristic
1641C22C22×2−1+411yescharacteristic
1642C22C22×2−1+411yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22H(7,𝔽2)11yescharacteristic
1645C222−1+611yescharacteristic
1646C4—24no—
1647C4—24no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—42no—
1653C4—44no—
1654C4—44no—
1655C4—42no—
1656C4—41no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—44no—
1665C4—41no—
1666C4—41no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—44no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4C2×#54214yes—
1677C4C2×#54214yes—
1678C2—24no—
1679C2—82no—
1680C2—82no—
1681C2C22×#54211yescharacteristic
1682C2#6281911yescharacteristic
1683C2#6287511yescharacteristic
1684C2#6294311yescharacteristic
1685C2#6295611yescharacteristic
1686C2#6300111yescharacteristic
1687C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#532C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42775C2semidirect
2. #42756C2semidirect
3. #42711C2semidirect
4. #42701C2semidirect
5. #42699C2semidirect
6. #42698C2semidirect
7. #42568C2semidirect
8. #42526C2semidirect
9. #40865C2semidirect
10. #40811C2semidirect
11. #40166C2semidirect
12. #40083C2semidirect
13. #40022C2semidirect
14. #40021C2semidirect
15. #39652C2semidirect
16. #39643C2semidirect
17. #39216C2semidirect
18. #39200C2semidirect
19. #38606C2semidirect
20. #38575C2semidirect
21. #35628C2semidirect
23. #35557C2semidirect
24. #35532C2semidirect
25. #35519C2semidirect
27. #35313C2semidirect
28. #35312C2semidirect
29. #35182C2semidirect
31. #34953C2semidirect
32. C2×#2582C2semidirect
33. #34272C2semidirect
34. #34266C2semidirect
35. #34253C2semidirect

Maximal subgroups

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

subgroupindex
#427752
#427562
#427112
#427012
#426992
#426982
#425682
#425262
#408652
#408112
#401662
#400832
#400222
#400212
#396522
#396432
#392162
#392002
#386062
#385752
#356282
#356212
#355572
#355322
#355192
#355172
#353132
#353122
#351822
#349552
#349532
C2×#25822
#342722
#342662
#342532