Finite Group Databasebeta

← #7671756

Subgroups — #7671756

Order 512.

4772 conjugacy classes of subgroups.

The subgroup lattice has 1646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59582C212yesmaximal, complemented
2#59534C214yesmaximal, complemented
3#59506C212yesmaximal, complemented
4#59404C212yesmaximal, complemented
5#59400C212yesmaximal, complemented
6#59359C214yesmaximal, complemented
7#40252C214yesmaximal, complemented
8#40248C214yesmaximal, complemented
9#39082C212yesmaximal, complemented
10#39068C212yesmaximal, complemented
11#38943C211yesmaximal, characteristic, complemented
12#38930C211yesmaximal, characteristic, complemented
13#38923C211yesmaximal, characteristic, complemented
14#38908C211yesmaximal, characteristic
15#36635C211yesmaximal, characteristic, complemented
16#36536C212yesmaximal, complemented
17#36449C212yesmaximal, complemented
18#36406C211yesmaximal, characteristic, complemented
19#36392C212yesmaximal, complemented
20#36313C211yesmaximal, characteristic, complemented
21#36307C212yesmaximal, complemented
22#36299C211yesmaximal, characteristic, complemented
23#36290C211yesmaximal, characteristic, complemented
24#36278C212yesmaximal, complemented
25#36278C212yesmaximal, complemented
26#35654C212yesmaximal, complemented
27#35647C212yesmaximal, complemented
28#35323C212yesmaximal, complemented
29#35187C211yesmaximal, characteristic, complemented
30#35176C211yesmaximal, characteristic, complemented
31#34322C211yesmaximal, characteristic, complemented
32#34308C211yesmaximal, characteristic, complemented
33#34253C212yesmaximal, complemented
34C4×#529C211yesmaximal, characteristic, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#529C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×#520C2212yes—
41#2864C2212yes—
42#2864C2212yes—
43#2863C2212yes—
44#2863C2212yes—
45#2863C2212yes—
46#2863C2212yes—
47#2863C2212yes—
48#2862C2211yescharacteristic
49#2859C2211yescharacteristic
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2857C2212yes—
53#2857C2212yes—
54#2855C2212yes—
55#2855C2212yes—
56#2855C2212yes—
57#2851C2212yes—
58#2851C2212yes—
59#2787C2214yes—
60#2769C2214yes—
61#2767C2214yes—
62#2766C2214yes—
63#2750C2214yes—
64#2747C2214yes—
65#2746C2214yes—
66#2744C2214yes—
67#2743C2214yes—
68#2739C2214yes—
69#2738C2214yes—
70#2738C2214yes—
71#2722C2214yes—
72#2695C2214yes—
73#2695C2214yes—
74#2693C2214yes—
75#2667C2214yes—
76#2655C2214yes—
77#2647C2212yes—
78#2642C2212yes—
79#2625C2212yes—
80#2625C2212yes—
81#2608C2214yes—
82#2606C2214yes—
83#2606C2214yes—
84#2600C2214yes—
85#2600C2214yes—
86#2598C2214yes—
87#2590C2214yes—
88#2590C2214yes—
89#2590C2214yes—
90#2587C2214yes—
91#2587C2214yes—
92#2582C2211yescharacteristic
93#2579C2214yes—
94#2579C2214yes—
95#2578C2214yes—
96#2578C2214yes—
97#2578C2214yes—
98#2578C2214yes—
99#2577C2214yes—
100#2577C2214yes—
101#2577C2214yes—
102#2576C2214yes—
103#2576C2214yes—
104#2576C2214yes—
105#2575C2214yes—
106#2573C2214yes—
107#2571C2211yescharacteristic
108#2571C2212yes—
109#2569C2214yes—
110#2569C2214yes—
111#2568C2211yescharacteristic
112#2553C2214yes—
113#2553C2214yes—
114#2552C2211yescharacteristic
115#2547C2212yes—
116#2546C2211yescharacteristic
117#2546C2211yescharacteristic
118#2542C2211yescharacteristic
119#2538C2211yescharacteristic
120#2536C2212yes—
121#2535C2212yes—
122#2533C2214yes—
123#2533C2214yes—
124#2533C2214yes—
125#2530C2214yes—
126#2530C2214yes—
127#2530C2214yes—
128#2528C2214yes—
129#2528C2214yes—
130#2524C2214yes—
131#2524C2214yes—
132#2524C2214yes—
133#2522C2214yes—
134#2515C2214yes—
135#2514C2212yes—
136#2514C2212yes—
137#2514C2212yes—
138#2514C2212yes—
139#2509C2212yes—
140#2509C2212yes—
141#2508C2212yes—
142#2508C2212yes—
143#2507C2212yes—
144#2507C2212yes—
145#2505C2214yes—
146#2503C2212yes—
147#2499C2212yes—
148#2497C2212yes—
149#2497C2212yes—
150#2495C2212yes—
151#2495C2214yes—
152#2495C2214yes—
153#2495C2212yes—
154#2493C2214yes—
155#2489C2212yes—
156#2485C2212yes—
157#2485C2214yes—
158#2484C2214yes—
159#2478C2214yes—
160#2475C2214yes—
161#2473C2214yes—
162#2470C2214yes—
163#2468C2214yes—
164#2457C2214yes—
165#2454C2212yes—
166#2453C2212yes—
167#2453C2212yes—
168#2447C2212yes—
169#2446C2212yes—
170#2446C2212yes—
171#2442C2212yes—
172#2442C2212yes—
173#2442C2212yes—
174#2432C2212yes—
175#2429C2212yes—
176#2429C2212yes—
177#2429C2212yes—
178#2427C2212yes—
179#2427C2212yes—
180#2427C2212yes—
181#2427C2212yes—
182#2423C2212yes—
183#2421C2212yes—
184#2421C2212yes—
185#2420C2212yes—
186#2417C2212yes—
187#2417C2212yes—
188#2417C2212yes—
189#2417C2212yes—
190#2407C2212yes—
191#2373C2214yes—
192#2367C2212yes—
193#2365C2211yescharacteristic
194#2365C2212yes—
195#2365C2211yescharacteristic
196#2361C2212yes—
197#2360C2212yes—
198#2360C2212yes—
199#2360C2212yes—
200#2360C2212yes—
201#2360C2212yes—
202#2359C2214yes—
203#2356C2212yes—
204#2355C2211yescharacteristic
205#2353C2214yes—
206#2353C2214yes—
207#2353C2214yes—
208#2353C2214yes—
209#2352C2214yes—
210#2352C2214yes—
211#2351C2212yes—
212#2349C2212yes—
213D4×C4⋊C4C2211yescharacteristic
214D4×C4⋊C4C2211yescharacteristic
215D4×C4⋊C4C2212yes—
216D4×C4⋊C4C2211yescharacteristic
217#2347C2214yes—
218#2346C2212yes—
219#2346C2214yes—
220#2345C2214yes—
221#2345C2214yes—
222#2344C2212yes—
223#2344C2212yes—
224#2344C2214yes—
225#2343C2214yes—
226#2339C2212yes—
227#2334C2214yes—
228#2330C2212yes—
229#2327C2212yes—
230#2323C2212yes—
231#2323C2212yes—
232#2322C2214yes—
233#2320C2212yes—
234#2320C2212yes—
235#2319C2212yes—
236#2319C2212yes—
237#2316C2212yes—
238#2311C2212yes—
239C4×C4⋊Q8C2211yescharacteristic
240C4×C4⋊Q8C2211yescharacteristic
241C4×#125C2212yes—
242C4×#125C2211yescharacteristic
243C4×#125C2211yescharacteristic
244C4×#125C2211yescharacteristic
245C4×#125C2211yescharacteristic
246C4×#126C2212yes—
247C4×#126C2212yes—
248C4×#126C2212yes—
249C4×#126C2212yes—
250C4×#124C2212yes—
251C4×#124C2211yescharacteristic
252C4×#124C2211yescharacteristic
253C4×#124C2211yescharacteristic
254C4×#124C2211yescharacteristic
255C4×C22⋊Q8C2211yescharacteristic
256C4×C22⋊Q8C2212yes—
257C4×C22⋊Q8C2211yescharacteristic
258C4×C22⋊Q8C2212yes—
259C4×C22⋊Q8C2211yescharacteristic
260C4×C22⋊Q8C2211yescharacteristic
261C4×#123C2212yes—
262C4×#123C2212yes—
263C4×#123C2212yes—
264C4×#123C2212yes—
265C4×#121C2212yes—
266C4×#121C2211yescharacteristic
267C4×#121C2211yescharacteristic
268C4×#121C2211yescharacteristic
269C4×#121C2211yescharacteristic
270#2298C2212yes—
271#2298C2212yes—
272#2297C2212yes—
273#2295C2212yes—
274#2295C2212yes—
275#2295C2212yes—
276#2295C2211yescharacteristic
277#2295C2212yes—
278#2295C2211yescharacteristic
279#2293C2211yescharacteristic
280#2293C2212yes—
281#2293C2211yescharacteristic
282C2×#389C2212yes—
283C2×#389C2212yes—
284#2290C2212yes—
285#2290C2212yes—
286#2283C2211yescharacteristic
287#2283C2212yes—
288#2283C2211yescharacteristic
289#2274C2212yes—
290C42×Q8C2211yescharacteristic
291C42×Q8C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2212yes—
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300#556—28no—
301#547—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306#529—28no—
307#529—28no—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#125C2311yescharacteristic
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#124C2312yes—
316C2×#124C2311yescharacteristic
317C2×#124C2311yescharacteristic
318C2×#123C2314yes—
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×#121C2312yes—
331C2×#121C2311yescharacteristic
332C2×#121C2311yescharacteristic
333#520—216no—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2314yes—
366C2×#117C2312yes—
367C2×#117C2314yes—
368C2×#117C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2314yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2314yes—
374C22×C4⋊C4C2312yes—
375C22×C42C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2312yes—
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2312yes—
383C22×C42C2311yescharacteristic
384#401C2314yes—
385#401C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#399C2314yes—
407#399C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#392C2314yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2311yescharacteristic
463#391C2311yescharacteristic
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2311yescharacteristic
469#391C2311yescharacteristic
470#390C2311yescharacteristic
471#390C2312yes—
472#390C2312yes—
473#390C2311yescharacteristic
474#390C2311yescharacteristic
475#390C2311yescharacteristic
476#389C2311yescharacteristic
477#389C2311yescharacteristic
478#389C2311yescharacteristic
479#389C2311yescharacteristic
480#389C2312yes—
481#389C2312yes—
482#389C2311yescharacteristic
483#389C2311yescharacteristic
484#389C2311yescharacteristic
485#389C2311yescharacteristic
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2314yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2312yes—
502#389C2314yes—
503#389C2314yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#388C2312yes—
529#388C2312yes—
530#388C2312yes—
531#388C2312yes—
532#388C2312yes—
533#388C2312yes—
534#388C2312yes—
535#388C2312yes—
536#388C2312yes—
537#388C2312yes—
538#388C2312yes—
539#388C2312yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#387C2312yes—
561#387C2312yes—
562#387C2312yes—
563#387C2312yes—
564#387C2312yes—
565#387C2312yes—
566#387C2312yes—
567#387C2312yes—
568#387C2312yes—
569#387C2312yes—
570#387C2312yes—
571#387C2312yes—
572#387C2314yes—
573#387C2314yes—
574#387C2312yes—
575#387C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2312yes—
625#386C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2312yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2312yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#384C2311yescharacteristic
657#384C2311yescharacteristic
658#384C2312yes—
659#384C2312yes—
660#383C2312yes—
661#383C2312yes—
662#383C2314yes—
663#383C2314yes—
664#383C2314yes—
665#383C2314yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#382C2311yescharacteristic
670#382C2312yes—
671#382C2311yescharacteristic
672#382C2311yescharacteristic
673#382C2311yescharacteristic
674#382C2312yes—
675#382C2314yes—
676#382C2312yes—
677#382C2312yes—
678#382C2312yes—
679#382C2314yes—
680#382C2314yes—
681#382C2314yes—
682#382C2312yes—
683#382C2312yes—
684#381C2312yes—
685#381C2314yes—
686#381C2314yes—
687#381C2314yes—
688#381C2314yes—
689#381C2314yes—
690#381C2314yes—
691#381C2312yes—
692#380C2314yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2314yes—
697#380C2314yes—
698#380C2314yes—
699#380C2314yes—
700#380C2314yes—
701#380C2314yes—
702#380C2314yes—
703#380C2314yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2311yescharacteristic
714#380C2311yescharacteristic
715#380C2311yescharacteristic
716#380C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2312yes—
765C4×C22⋊C4C2312yes—
766C4×C22⋊C4C2312yes—
767C4×C22⋊C4C2312yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796#376C2312yes—
797#376C2312yes—
798#376C2314yes—
799#376C2314yes—
800#376C2314yes—
801#376C2312yes—
802#376C2312yes—
803C2×#95C2314yes—
804C2×#95C2314yes—
805C43C2311yescharacteristic
806C43C2311yescharacteristic
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C2×#41—28no—
816C2×#41—28no—
817C2×#41—44no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2414yes—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2414yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C4⋊Q8—24no—
845C4⋊Q8—24no—
846C4⋊Q8—44no—
847C4⋊Q8—44no—
848#126—28no—
849#126—28no—
850#126—216no—
851#125—24no—
852#125—24no—
853#125—44no—
854#125—44no—
855#124—24no—
856#124—24no—
857#124—28no—
858#123—28no—
859#123—28no—
860#123—216no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—24no—
864C22⋊Q8—24no—
865C22⋊Q8—44no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C22⋊Q8—44no—
869C22⋊Q8—44no—
870#121—24no—
871#121—24no—
872#121—28no—
873C4×Q8—28no—
874C4×Q8—28no—
875C4×Q8—28no—
876C4×Q8—24no—
877C4×Q8—24no—
878C4×Q8—24no—
879C4×Q8—42no—
880C4×Q8—42no—
881C4×Q8—42no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×D4—28no—
885C4×D4—216no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—216no—
891C4×D4—24no—
892C4×D4—42no—
893C4×D4—42no—
894C4×D4—42no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4#4118yes—
900C4×D4#4118yes—
901#117—28no—
902#117—28no—
903#117—28no—
904#117—216no—
905#117—28no—
906#117—44no—
907#117—48no—
908C2×C4⋊C4—216no—
909C2×C4⋊C4—28no—
910C2×C4⋊C4—28no—
911C2×C4⋊C4—48no—
912C2×C4⋊C4—44no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C42—24no—
1020C2×C42—24no—
1021C2×C42—24no—
1022C2×C42—42no—
1023C2×C42—42no—
1024C2×C42—44no—
1025C2×C42—44no—
1026C2×C42—42no—
1027C2×C42—42no—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24C2512yes—
1161C24C2512yes—
1162C24C2511yescharacteristic
1163#41—432no—
1164C2×Q8—24no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×D4—28no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—28no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—44no—
1189C2×D4C2×#4114yes—
1190C2×D4C2×#4114yes—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—28no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—28no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—24no—
1204C22×C4—28no—
1205C22×C4—24no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—28no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—42no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—42no—
1225C22×C4—44no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4C2×#4118yes—
1240C22×C4C2×#4118yes—
1241C22×C42−1+414yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2514yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2514yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—28no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—28no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4C2×#4114yes—
1340C4⋊C4C2×#4114yes—
1341C22⋊C4—28no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—28no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4C2×#4118yes—
1378C22⋊C4C2×#4118yes—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—28no—
1386C42—24no—
1387C42—28no—
1388C42—24no—
1389C42—24no—
1390C42—28no—
1391C42—24no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—24no—
1397C42—24no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—24no—
1405C42—22no—
1406C42—22no—
1407C42—24no—
1408C42—24no—
1409C42—24no—
1410C42—41no—
1411C42—41no—
1412C42—41no—
1413C42—41no—
1414C42—42no—
1415C42—42no—
1416C42—42no—
1417C42—41no—
1418C42—41no—
1419C42—42no—
1420C42—41no—
1421C42—41no—
1422C42—42no—
1423C42—44no—
1424C42—44no—
1425C42—42no—
1426C42—42no—
1427C42—42no—
1428C42—44no—
1429C42C2×#4114yes—
1430C42C2×#4114yes—
1431C23—21no—
1432C23—21no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—21no—
1440C23—21no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—21no—
1445C23—21no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23C22×#4114yes—
1450C23C22×#4114yes—
1451C23C2×2−1+412yes—
1452C23C2611yescharacteristic
1453Q8—44no—
1454Q8—48no—
1455Q8—44no—
1456Q8—48no—
1457D4—28no—
1458D4—28no—
1459D4—48no—
1460D4—48no—
1461D4—416no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—216no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—48no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—44no—
1549C2×C4—416no—
1550C2×C4—44no—
1551C2×C4—44no—
1552C2×C4—44no—
1553C2×C4—44no—
1554C2×C4—48no—
1555C2×C4—88no—
1556C2×C4—84no—
1557C2×C4—84no—
1558C2×C4—84no—
1559C2×C4—88no—
1560C2×C4—164no—
1561C2×C4C22×#4112yes—
1562C2×C4C22×#4112yes—
1563C2×C4C22×#4114yes—
1564C2×C4C22×#4114yes—
1565C2×C4C22×#4112yes—
1566C2×C4C22×#4112yes—
1567C2×C4C22×#4112yes—
1568C2×C4C22×#4112yes—
1569C2×C4C2×2−1+412yes—
1570C2×C4C2×2−1+412yes—
1571C2×C4#58512yes—
1572C2×C4#58512yes—
1573C2×C4#58512yes—
1574C2×C4#58512yes—
1575C22—24no—
1576C22—22no—
1577C22—22no—
1578C22—24no—
1579C22—24no—
1580C22—24no—
1581C22—22no—
1582C22—24no—
1583C22—24no—
1584C22—41no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—41no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—41no—
1593C22—42no—
1594C22—42no—
1595C22—41no—
1596C22C23×#4111yescharacteristic
1597C22C23×#4111yescharacteristic
1598C22C22×2−1+411yescharacteristic
1599C22C2×#58511yescharacteristic
1600C22C2×#58511yescharacteristic
1601C22C2×#58511yescharacteristic
1602C22C2×#58511yescharacteristic
1603C4—22no—
1604C4—24no—
1605C4—22no—
1606C4—22no—
1607C4—22no—
1608C4—22no—
1609C4—22no—
1610C4—24no—
1611C4—41no—
1612C4—42no—
1613C4—44no—
1614C4—42no—
1615C4—42no—
1616C4—41no—
1617C4—41no—
1618C4—42no—
1619C4—42no—
1620C4—41no—
1621C4—42no—
1622C4—42no—
1623C4—44no—
1624C4—42no—
1625C4—42no—
1626C4—41no—
1627C4—42no—
1628C4—44no—
1629C4—42no—
1630C4—41no—
1631C4—44no—
1632C4—42no—
1633C4#347514yes—
1634C4#351214yes—
1635C2—44no—
1636C2—42no—
1637C2—44no—
1638C2C2×#347511yescharacteristic
1639C2#6278111yescharacteristic
1640C2#6280511yescharacteristic
1641C2#6280511yescharacteristic
1642C2C2×#351211yescharacteristic
1643C2#6282311yescharacteristic
1644C2#6282711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#38908C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59582C2semidirect
2. #59534C2semidirect
3. #59506C2semidirect
4. #59404C2semidirect
5. #59400C2semidirect
6. #59359C2semidirect
7. #40252C2semidirect
8. #40248C2semidirect
9. #39082C2semidirect
10. #39068C2semidirect
11. #38943C2semidirect
12. #38930C2semidirect
13. #38923C2semidirect
15. #36635C2semidirect
16. #36536C2semidirect
17. #36449C2semidirect
18. #36406C2semidirect
19. #36392C2semidirect
20. #36313C2semidirect
21. #36307C2semidirect
22. #36299C2semidirect
23. #36290C2semidirect
24. #36278C2semidirect
25. #36278C2semidirect
26. #35654C2semidirect
27. #35647C2semidirect
28. #35323C2semidirect
29. #35187C2semidirect
30. #35176C2semidirect
31. #34322C2semidirect
32. #34308C2semidirect
33. #34253C2semidirect
34. C4×#529C2semidirect
35. C4×#529C2semidirect

Maximal subgroups

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

subgroupindex
#595822
#595342
#595062
#594042
#594002
#593592
#402522
#402482
#390822
#390682
#389432
#389302
#389232
#389082
#366352
#365362
#364492
#364062
#363922
#363132
#363072
#362992
#362902
#362782
#356542
#356472
#353232
#351872
#351762
#343222
#343082
#342532
C4×#5292