Finite Group Databasebeta

← #7654320

Subgroups — #7654320

Order 512.

5139 conjugacy classes of subgroups.

The subgroup lattice has 1723 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42739C212yesmaximal, complemented
2#42612C212yesmaximal, complemented
3#41826C214yesmaximal, complemented
4#41820C214yesmaximal, complemented
5#40362C214yesmaximal, complemented
6#40121C212yesmaximal, complemented
7#39470C211yesmaximal, characteristic, complemented
8#39432C212yesmaximal, complemented
9#39424C212yesmaximal, complemented
10#39369C211yesmaximal, characteristic, complemented
11#39341C211yesmaximal, characteristic
12#39217C212yesmaximal, complemented
13#38952C211yesmaximal, characteristic, complemented
14#38200C212yesmaximal, complemented
15#37970C212yesmaximal, complemented
16#37806C214yesmaximal, complemented
17#37637C211yesmaximal, characteristic, complemented
18#37516C212yesmaximal, complemented
19#36480C211yesmaximal, characteristic, complemented
20#36463C211yesmaximal, characteristic, complemented
21#36462C212yesmaximal, complemented
22#36302C211yesmaximal, characteristic, complemented
23#36194C211yesmaximal, characteristic, complemented
24#36115C212yesmaximal, complemented
25#35890C212yesmaximal, complemented
26#35871C212yesmaximal, complemented
27#35277C211yesmaximal, characteristic, complemented
28#35198C211yesmaximal, characteristic, complemented
29#35158C212yesmaximal, complemented
30#35036C212yesmaximal, complemented
31#34975C211yesmaximal, characteristic, complemented
32#34763C212yesmaximal, complemented
33#34330C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#544C2212yes—
39C2×#542C2212yes—
40C2×#542C2212yes—
41C2×#537C2212yes—
42C2×#532C2211yescharacteristic
43C2×#529C2214yes—
44#2868C2211yescharacteristic
45#2863C2212yes—
46#2861C2212yes—
47#2860C2212yes—
48#2858C2212yes—
49#2858C2211yescharacteristic
50#2857C2212yes—
51#2857C2211yescharacteristic
52#2856C2211yescharacteristic
53#2854C2212yes—
54#2850C2214yes—
55#2850C2214yes—
56#2831C2214yes—
57#2826C2214yes—
58#2824C2214yes—
59#2754C2214yes—
60#2746C2214yes—
61#2739C2214yes—
62#2737C2214yes—
63#2731C2214yes—
64#2728C2214yes—
65#2725C2214yes—
66#2720C2214yes—
67#2708C2214yes—
68#2706C2214yes—
69#2705C2214yes—
70#2700C2214yes—
71#2696C2214yes—
72#2693C2214yes—
73#2689C2214yes—
74#2686C2214yes—
75#2681C2214yes—
76#2681C2214yes—
77#2681C2214yes—
78#2677C2214yes—
79#2676C2214yes—
80#2675C2214yes—
81#2672C2214yes—
82#2672C2214yes—
83#2665C2214yes—
84#2662C2214yes—
85#2662C2214yes—
86#2650C2214yes—
87#2649C2214yes—
88#2648C2214yes—
89#2647C2212yes—
90#2644C2212yes—
91#2640C2212yes—
92#2639C2214yes—
93#2639C2214yes—
94#2637C2214yes—
95#2630C2214yes—
96#2629C2212yes—
97#2628C2212yes—
98#2625C2212yes—
99#2620C2212yes—
100#2620C2212yes—
101#2616C2212yes—
102#2615C2212yes—
103#2605C2214yes—
104#2589C2214yes—
105#2587C2214yes—
106#2578C2214yes—
107#2572C2214yes—
108#2571C2212yes—
109#2567C2211yescharacteristic
110#2563C2211yescharacteristic
111#2563C2212yes—
112#2560C2214yes—
113#2559C2214yes—
114#2558C2214yes—
115#2557C2214yes—
116#2554C2214yes—
117#2552C2211yescharacteristic
118#2551C2212yes—
119#2551C2211yescharacteristic
120#2550C2212yes—
121#2549C2214yes—
122#2548C2211yescharacteristic
123#2542C2212yes—
124#2541C2212yes—
125#2541C2211yescharacteristic
126#2538C2211yescharacteristic
127#2538C2211yescharacteristic
128#2533C2212yes—
129#2531C2214yes—
130#2528C2212yes—
131#2521C2214yes—
132#2519C2214yes—
133#2518C2214yes—
134#2514C2211yescharacteristic
135#2513C2212yes—
136#2513C2212yes—
137#2512C2212yes—
138#2512C2212yes—
139#2512C2212yes—
140#2510C2214yes—
141#2509C2212yes—
142#2508C2212yes—
143#2506C2212yes—
144#2506C2211yescharacteristic
145#2501C2212yes—
146#2500C2212yes—
147#2497C2212yes—
148#2497C2214yes—
149#2496C2212yes—
150#2496C2211yescharacteristic
151#2492C2212yes—
152#2492C2212yes—
153#2492C2214yes—
154#2492C2212yes—
155#2491C2212yes—
156#2491C2212yes—
157#2491C2214yes—
158#2491C2212yes—
159#2490C2212yes—
160#2490C2212yes—
161#2490C2214yes—
162#2490C2212yes—
163#2489C2212yes—
164#2489C2214yes—
165#2489C2211yescharacteristic
166#2488C2214yes—
167#2486C2212yes—
168#2478C2212yes—
169#2476C2214yes—
170#2475C2212yes—
171#2471C2214yes—
172#2471C2214yes—
173#2471C2214yes—
174#2467C2214yes—
175#2467C2214yes—
176#2465C2214yes—
177#2461C2214yes—
178#2459C2214yes—
179#2459C2214yes—
180#2454C2212yes—
181#2454C2212yes—
182#2453C2211yescharacteristic
183#2452C2212yes—
184#2452C2212yes—
185#2452C2212yes—
186#2452C2212yes—
187#2452C2212yes—
188#2446C2211yescharacteristic
189#2445C2212yes—
190#2445C2212yes—
191#2445C2212yes—
192#2445C2212yes—
193#2445C2212yes—
194#2441C2212yes—
195#2440C2212yes—
196#2439C2214yes—
197#2439C2212yes—
198#2438C2214yes—
199#2432C2212yes—
200#2429C2214yes—
201#2429C2211yescharacteristic
202#2428C2212yes—
203#2428C2212yes—
204#2427C2214yes—
205#2427C2212yes—
206#2426C2214yes—
207#2426C2212yes—
208#2425C2214yes—
209#2425C2214yes—
210#2422C2212yes—
211#2422C2212yes—
212#2421C2211yescharacteristic
213#2420C2212yes—
214#2420C2212yes—
215#2416C2212yes—
216#2415C2212yes—
217#2407C2212yes—
218#2402C2212yes—
219#2401C2212yes—
220#2396C2214yes—
221#2395C2214yes—
222#2372C2212yes—
223#2372C2212yes—
224#2370C2212yes—
225#2369C2211yescharacteristic
226#2369C2212yes—
227#2369C2211yescharacteristic
228#2369C2211yescharacteristic
229#2368C2214yes—
230#2366C2211yescharacteristic
231#2366C2212yes—
232#2366C2212yes—
233#2366C2211yescharacteristic
234#2366C2211yescharacteristic
235#2365C2212yes—
236#2364C2214yes—
237#2363C2212yes—
238#2363C2211yescharacteristic
239#2363C2212yes—
240#2363C2212yes—
241#2363C2211yescharacteristic
242#2363C2212yes—
243#2363C2211yescharacteristic
244#2363C2211yescharacteristic
245#2360C2212yes—
246#2357C2212yes—
247#2357C2212yes—
248#2355C2211yescharacteristic
249#2355C2211yescharacteristic
250#2354C2212yes—
251#2354C2212yes—
252#2354C2211yescharacteristic
253#2349C2212yes—
254D4×C4⋊C4C2211yescharacteristic
255#2347C2212yes—
256#2345C2212yes—
257#2339C2212yes—
258#2335C2214yes—
259#2334C2214yes—
260#2333C2214yes—
261#2328C2212yes—
262#2326C2212yes—
263#2324C2212yes—
264#2311C2212yes—
265#2311C2212yes—
266C4×C4⋊Q8C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×#127C2211yescharacteristic
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×#125C2211yescharacteristic
273C4×#126C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2214yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×#123C2214yes—
279C4×#121C2212yes—
280C4×#121C2212yes—
281#2297C2212yes—
282#2297C2212yes—
283#2297C2212yes—
284#2295C2211yescharacteristic
285#2293C2212yes—
286#2293C2211yescharacteristic
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2285C2212yes—
290#2275C2212yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301#554—28no—
302#550—28no—
303#544—48no—
304#542—48no—
305#542—48no—
306#537—48no—
307#532—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2314yes—
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321#529—416no—
322C2×#126C2314yes—
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2311yescharacteristic
329C2×#125C2312yes—
330C2×#125C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2314yes—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2314yes—
402C2×#117C2314yes—
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C42C2311yescharacteristic
408C22×C42C2314yes—
409C22×C42C2312yes—
410C22×C42C2312yes—
411#401C2312yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2314yes—
439#398C2312yes—
440#398C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#396C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#391C2314yes—
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2314yes—
511#391C2311yescharacteristic
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#391C2312yes—
516#391C2312yes—
517#391C2314yes—
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2311yescharacteristic
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2311yescharacteristic
560#390C2312yes—
561#390C2312yes—
562#390C2311yescharacteristic
563#390C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2314yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#386C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2314yes—
699#385C2312yes—
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#383C2312yes—
709#383C2314yes—
710#382C2312yes—
711#382C2312yes—
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2314yes—
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2314yes—
735#380C2311yescharacteristic
736#380C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808#376C2311yescharacteristic
809#376C2312yes—
810#376C2312yes—
811#376C2311yescharacteristic
812C2×#95C2314yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—28no—
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2414yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2412yes—
858C4⋊Q8—24no—
859C4⋊Q8—28no—
860C4⋊Q8—24no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865C4⋊Q8—42no—
866C4⋊Q8—48no—
867#127—24no—
868#127—28no—
869#127—24no—
870#127—44no—
871#126—216no—
872#126—48no—
873#126—48no—
874#126—44no—
875#125—28no—
876#125—28no—
877#125—24no—
878#125—44no—
879#125—48no—
880#124—28no—
881#124—44no—
882#124—48no—
883#124—48no—
884#124—44no—
885#124—44no—
886#124—48no—
887#123—48no—
888#123—48no—
889#123—48no—
890#123—48no—
891#123—48no—
892#123—48no—
893C22⋊Q8—28no—
894C22⋊Q8—24no—
895C22⋊Q8—216no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—44no—
901C22⋊Q8—48no—
902C22⋊Q8—42no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—48no—
906#121—24no—
907#121—28no—
908#121—24no—
909#121—28no—
910#121—28no—
911#121—216no—
912#121—48no—
913#121—44no—
914#121—48no—
915#121—48no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—48no—
920C4×Q8—24no—
921C4×Q8—24no—
922C4×Q8—24no—
923C4×Q8—44no—
924C4×Q8—48no—
925C4×Q8—42no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—24no—
931C4×D4—24no—
932C4×D4—28no—
933C4×D4—24no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—42no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—42no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—48no—
943C4×D4—48no—
944C4×D4#4118yes—
945#117—24no—
946#117—24no—
947#117—44no—
948#117—44no—
949#117—42no—
950#117—48no—
951#117—42no—
952#117—48no—
953#117—44no—
954C2×C4⋊C4—28no—
955C2×C4⋊C4—28no—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C42—24no—
1079C2×C42—48no—
1080C2×C42—44no—
1081C2×C42—44no—
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189C24C2512yes—
1190C24C2514yes—
1191C24C2511yescharacteristic
1192C24C2512yes—
1193#41—816no—
1194#41—816no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—28no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—42no—
1205C2×Q8—44no—
1206C2×Q8—42no—
1207C2×Q8—42no—
1208C2×Q8—44no—
1209C2×Q8—42no—
1210C2×Q8—44no—
1211C2×Q8—44no—
1212C2×Q8—44no—
1213C2×D4—24no—
1214C2×D4—28no—
1215C2×D4—24no—
1216C2×D4—28no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—28no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4C2×#4114yes—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—28no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—28no—
1274C22×C4—28no—
1275C22×C4—28no—
1276C22×C4—24no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—41no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—42no—
1287C22×C4—44no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4C2×#4118yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2514yes—
1314C22×C4C2512yes—
1315C22×C4C2514yes—
1316C22×C4C2514yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C4⋊C4—22no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—28no—
1338C4⋊C4—28no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—28no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—28no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—41no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4C2×#4114yes—
1390C4⋊C4H(5,𝔽2)14yes—
1391C4⋊C4H(5,𝔽2)14yes—
1392C4⋊C42−1+414yes—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—22no—
1412C22⋊C4—24no—
1413C22⋊C4—28no—
1414C22⋊C4—41no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4C2×#4118yes—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—28no—
1457C42—22no—
1458C42—22no—
1459C42—24no—
1460C42—22no—
1461C42—24no—
1462C42—22no—
1463C42—24no—
1464C42—24no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—24no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—24no—
1474C42—22no—
1475C42—42no—
1476C42—42no—
1477C42—42no—
1478C42—42no—
1479C42—44no—
1480C42—44no—
1481C42—41no—
1482C42—42no—
1483C42—44no—
1484C42—44no—
1485C42—42no—
1486C42—42no—
1487C42—42no—
1488C42C2×#4114yes—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—24no—
1497C23—21no—
1498C23—24no—
1499C23—21no—
1500C23—21no—
1501C23—22no—
1502C23—24no—
1503C23—22no—
1504C23—21no—
1505C23—22no—
1506C23—24no—
1507C23—21no—
1508C23—24no—
1509C23—22no—
1510C23—21no—
1511C23—21no—
1512C23—24no—
1513C23—24no—
1514C23—22no—
1515C23—22no—
1516C23C22×#4114yes—
1517C23C2611yescharacteristic
1518Q8—44no—
1519Q8—44no—
1520Q8—88no—
1521Q8—84no—
1522Q8—84no—
1523Q8—164no—
1524D4—28no—
1525D4—48no—
1526D4—44no—
1527D4—48no—
1528D4—48no—
1529D4—88no—
1530D4—84no—
1531D4—84no—
1532D4—88no—
1533D4—84no—
1534D4—84no—
1535D4—88no—
1536D4—164no—
1537D4—164no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—216no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—24no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—48no—
1619C2×C4—48no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—48no—
1623C2×C4—44no—
1624C2×C4—88no—
1625C2×C4—88no—
1626C2×C4—84no—
1627C2×C4—88no—
1628C2×C4—88no—
1629C2×C4—84no—
1630C2×C4—164no—
1631C2×C4C22×#4112yes—
1632C2×C4C22×#4114yes—
1633C2×C4C22×#4112yes—
1634C2×C4C22×#4112yes—
1635C2×C4C2×H(5,𝔽2)12yes—
1636C2×C4C2×H(5,𝔽2)12yes—
1637C2×C4C2×H(5,𝔽2)12yes—
1638C2×C4C2×H(5,𝔽2)14yes—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4C2×2−1+414yes—
1641C2×C4C2×2−1+412yes—
1642C2×C4#58512yes—
1643C2×C4#58512yes—
1644C2×C4#58512yes—
1645C22—24no—
1646C22—24no—
1647C22—24no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—44no—
1654C22—41no—
1655C22—44no—
1656C22—42no—
1657C22—41no—
1658C22—42no—
1659C22—44no—
1660C22—41no—
1661C22—41no—
1662C22—42no—
1663C22—44no—
1664C22—41no—
1665C22—44no—
1666C22—42no—
1667C22—41no—
1668C22—42no—
1669C22—44no—
1670C22—41no—
1671C22—42no—
1672C22—44no—
1673C22C23×#4111yescharacteristic
1674C22C22×H(5,𝔽2)11yescharacteristic
1675C22C22×H(5,𝔽2)11yescharacteristic
1676C22C22×2−1+411yescharacteristic
1677C22C2×#58511yescharacteristic
1678C22C2×#58511yescharacteristic
1679C22C2×#58511yescharacteristic
1680C4—24no—
1681C4—22no—
1682C4—22no—
1683C4—24no—
1684C4—22no—
1685C4—24no—
1686C4—22no—
1687C4—22no—
1688C4—42no—
1689C4—44no—
1690C4—41no—
1691C4—44no—
1692C4—42no—
1693C4—41no—
1694C4—42no—
1695C4—41no—
1696C4—42no—
1697C4—41no—
1698C4—42no—
1699C4—42no—
1700C4—42no—
1701C4—41no—
1702C4—42no—
1703C4—41no—
1704C4—42no—
1705C4—42no—
1706C4—44no—
1707C4—42no—
1708C4—41no—
1709C4#346114yes—
1710C4#351414yes—
1711C2—44no—
1712C2—82no—
1713C2—84no—
1714C2—81no—
1715C2C2×#346111yescharacteristic
1716C2C2×#351411yescharacteristic
1717C2#6280011yescharacteristic
1718C2#6301311yescharacteristic
1719C2#6301411yescharacteristic
1720C2#6302911yescharacteristic
1721C2#6303911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39341C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42739C2semidirect
2. #42612C2semidirect
3. #41826C2semidirect
4. #41820C2semidirect
5. #40362C2semidirect
6. #40121C2semidirect
7. #39470C2semidirect
8. #39432C2semidirect
9. #39424C2semidirect
10. #39369C2semidirect
12. #39217C2semidirect
13. #38952C2semidirect
14. #38200C2semidirect
15. #37970C2semidirect
16. #37806C2semidirect
17. #37637C2semidirect
18. #37516C2semidirect
19. #36480C2semidirect
20. #36463C2semidirect
21. #36462C2semidirect
22. #36302C2semidirect
23. #36194C2semidirect
24. #36115C2semidirect
25. #35890C2semidirect
26. #35871C2semidirect
27. #35277C2semidirect
28. #35198C2semidirect
29. #35158C2semidirect
30. #35036C2semidirect
31. #34975C2semidirect
32. #34763C2semidirect
33. #34330C2semidirect
34. C4×#554C2semidirect
35. #34155C2semidirect

Maximal subgroups

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

subgroupindex
#427392
#426122
#418262
#418202
#403622
#401212
#394702
#394322
#394242
#393692
#393412
#392172
#389522
#382002
#379702
#378062
#376372
#375162
#364802
#364632
#364622
#363022
#361942
#361152
#358902
#358712
#352772
#351982
#351582
#350362
#349752
#347632
#343302
C4×#5542
#341552