Finite Group Databasebeta

← #7655088

Subgroups — #7655088

Order 512.

4896 conjugacy classes of subgroups.

The subgroup lattice has 1705 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42700C212yesmaximal, complemented
2#42528C212yesmaximal, complemented
3#41635C214yesmaximal, complemented
4#40971C214yesmaximal, complemented
5#40307C214yesmaximal, complemented
6#40033C212yesmaximal, complemented
7#40032C212yesmaximal, complemented
8#39565C212yesmaximal, complemented
9#39560C212yesmaximal, complemented
10#39515C211yesmaximal, characteristic, complemented
11#39513C211yesmaximal, characteristic, complemented
12#39202C211yesmaximal, characteristic, complemented
13#39201C211yesmaximal, characteristic, complemented
14#38723C214yesmaximal, complemented
15#37972C212yesmaximal, complemented
16#37969C212yesmaximal, complemented
17#37618C211yesmaximal, characteristic
18#37573C212yesmaximal, complemented
19#36469C211yesmaximal, characteristic, complemented
20#36463C211yesmaximal, characteristic, complemented
21#36437C212yesmaximal, complemented
22#36229C212yesmaximal, complemented
23#36188C211yesmaximal, characteristic, complemented
24#36175C211yesmaximal, characteristic, complemented
25#35974C212yesmaximal, complemented
26#35956C212yesmaximal, complemented
27#35298C211yesmaximal, characteristic, complemented
28#35218C212yesmaximal, complemented
29#35180C211yesmaximal, characteristic, complemented
30#35107C212yesmaximal, complemented
31#34966C211yesmaximal, characteristic, complemented
32#34917C212yesmaximal, complemented
33#34231C211yesmaximal, characteristic, complemented
34#34155C211yesmaximal, characteristic, complemented
35#34141C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#556C2212yes—
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×C4×#41C2212yes—
42#2868C2211yescharacteristic
43#2862C2211yescharacteristic
44#2858C2211yescharacteristic
45#2858C2211yescharacteristic
46#2857C2212yes—
47#2854C2212yes—
48#2854C2212yes—
49#2853C2214yes—
50#2852C2214yes—
51#2851C2212yes—
52#2850C2212yes—
53#2850C2212yes—
54#2838C2214yes—
55#2829C2214yes—
56#2815C2214yes—
57#2798C2214yes—
58#2797C2214yes—
59#2797C2214yes—
60#2793C2214yes—
61#2793C2214yes—
62#2778C2214yes—
63#2778C2214yes—
64#2764C2214yes—
65#2763C2214yes—
66#2759C2214yes—
67#2759C2214yes—
68#2756C2214yes—
69#2756C2214yes—
70#2754C2214yes—
71#2753C2214yes—
72#2753C2214yes—
73#2752C2214yes—
74#2749C2214yes—
75#2749C2214yes—
76#2730C2214yes—
77#2712C2214yes—
78#2710C2214yes—
79#2706C2214yes—
80#2696C2214yes—
81#2662C2214yes—
82#2657C2212yes—
83#2654C2214yes—
84#2653C2214yes—
85#2652C2214yes—
86#2650C2214yes—
87#2649C2214yes—
88#2648C2214yes—
89#2640C2212yes—
90#2639C2214yes—
91#2631C2214yes—
92#2630C2214yes—
93#2629C2212yes—
94#2628C2212yes—
95#2624C2212yes—
96#2624C2212yes—
97#2620C2212yes—
98#2620C2212yes—
99#2615C2212yes—
100#2615C2212yes—
101#2610C2214yes—
102#2606C2212yes—
103#2605C2212yes—
104#2603C2214yes—
105#2603C2214yes—
106#2602C2214yes—
107#2602C2214yes—
108#2600C2214yes—
109#2598C2214yes—
110#2597C2214yes—
111#2595C2214yes—
112#2592C2214yes—
113#2592C2212yes—
114#2592C2212yes—
115#2589C2214yes—
116#2581C2212yes—
117#2580C2212yes—
118#2578C2214yes—
119#2576C2214yes—
120#2573C2214yes—
121#2570C2211yescharacteristic
122#2570C2211yescharacteristic
123#2568C2212yes—
124#2568C2212yes—
125#2566C2212yes—
126#2566C2212yes—
127#2563C2211yescharacteristic
128#2563C2211yescharacteristic
129#2562C2212yes—
130#2562C2212yes—
131#2557C2214yes—
132#2557C2214yes—
133#2554C2214yes—
134#2554C2214yes—
135#2550C2211yescharacteristic
136#2550C2211yescharacteristic
137#2548C2212yes—
138#2548C2212yes—
139#2548C2212yes—
140#2547C2212yes—
141#2547C2211yescharacteristic
142#2547C2211yescharacteristic
143#2547C2211yescharacteristic
144#2547C2211yescharacteristic
145#2545C2212yes—
146#2545C2212yes—
147#2545C2212yes—
148#2545C2212yes—
149#2544C2212yes—
150#2544C2212yes—
151#2541C2211yescharacteristic
152#2541C2211yescharacteristic
153#2535C2212yes—
154#2535C2212yes—
155#2532C2214yes—
156#2532C2214yes—
157#2527C2214yes—
158#2527C2214yes—
159#2525C2214yes—
160#2523C2214yes—
161#2515C2214yes—
162#2514C2212yes—
163#2514C2212yes—
164#2513C2212yes—
165#2513C2212yes—
166#2500C2212yes—
167#2500C2212yes—
168#2499C2214yes—
169#2497C2212yes—
170#2497C2212yes—
171#2496C2212yes—
172#2496C2214yes—
173#2496C2212yes—
174#2495C2212yes—
175#2495C2212yes—
176#2494C2212yes—
177#2494C2212yes—
178#2491C2212yes—
179#2491C2212yes—
180#2490C2212yes—
181#2490C2212yes—
182#2479C2214yes—
183#2477C2214yes—
184#2474C2214yes—
185#2470C2214yes—
186#2467C2214yes—
187#2463C2214yes—
188#2461C2214yes—
189#2461C2214yes—
190#2461C2214yes—
191#2459C2214yes—
192#2457C2214yes—
193#2457C2214yes—
194#2448C2212yes—
195#2448C2212yes—
196#2447C2212yes—
197#2447C2212yes—
198#2446C2212yes—
199#2446C2212yes—
200#2445C2212yes—
201#2445C2212yes—
202#2442C2211yescharacteristic
203#2442C2211yescharacteristic
204#2440C2211yescharacteristic
205#2440C2211yescharacteristic
206#2438C2212yes—
207#2438C2212yes—
208#2432C2212yes—
209#2432C2212yes—
210#2431C2212yes—
211#2431C2212yes—
212#2422C2212yes—
213#2422C2212yes—
214#2420C2212yes—
215#2420C2212yes—
216#2402C2212yes—
217#2401C2214yes—
218#2399C2212yes—
219#2392C2214yes—
220#2372C2212yes—
221#2372C2212yes—
222#2369C2211yescharacteristic
223#2369C2211yescharacteristic
224#2369C2211yescharacteristic
225#2369C2211yescharacteristic
226#2367C2212yes—
227#2367C2212yes—
228#2367C2212yes—
229#2367C2212yes—
230#2366C2211yescharacteristic
231#2366C2211yescharacteristic
232#2366C2211yescharacteristic
233#2366C2211yescharacteristic
234#2366C2212yes—
235#2365C2211yescharacteristic
236#2365C2211yescharacteristic
237#2365C2212yes—
238#2365C2211yescharacteristic
239#2365C2211yescharacteristic
240#2364C2214yes—
241#2363C2212yes—
242#2363C2211yescharacteristic
243#2363C2211yescharacteristic
244#2363C2211yescharacteristic
245#2363C2211yescharacteristic
246#2363C2212yes—
247#2362C2212yes—
248#2362C2212yes—
249#2361C2212yes—
250#2361C2212yes—
251#2357C2212yes—
252#2356C2214yes—
253#2356C2212yes—
254#2347C2212yes—
255#2346C2212yes—
256#2337C2214yes—
257#2335C2214yes—
258#2332C2214yes—
259#2326C2212yes—
260#2326C2212yes—
261#2324C2212yes—
262#2324C2212yes—
263#2320C2212yes—
264#2314C2212yes—
265#2314C2212yes—
266#2311C2212yes—
267#2311C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×#125C2211yescharacteristic
271C4×#125C2212yes—
272C4×#125C2211yescharacteristic
273C4×#125C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×#123C2214yes—
277C4×#121C2212yes—
278C4×#121C2212yes—
279#2297C2212yes—
280#2297C2212yes—
281#2297C2212yes—
282#2293C2211yescharacteristic
283#2293C2211yescharacteristic
284#2293C2212yes—
285#2293C2212yes—
286#2290C2214yes—
287#2290C2214yes—
288#2285C2212yes—
289#2283C2212yes—
290#2283C2211yescharacteristic
291#2276C2212yes—
292C42×D4C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301#559—48no—
302#556—48no—
303#533—28no—
304#532—28no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#127C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C4×#41—48no—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2314yes—
381C2×#117C2312yes—
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2314yes—
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2314yes—
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C42C2312yes—
393C22×C42C2312yes—
394C22×C42C2314yes—
395C22×C42C2312yes—
396C22×C42C2311yescharacteristic
397#401C2314yes—
398#401C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2312yes—
411#400C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#398C2312yes—
416#398C2312yes—
417#398C2312yes—
418#398C2314yes—
419#398C2312yes—
420#398C2312yes—
421#398C2312yes—
422#398C2312yes—
423#398C2314yes—
424#398C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#395C2314yes—
454#395C2312yes—
455#395C2312yes—
456#395C2312yes—
457#395C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2312yes—
670#386C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#383C2314yes—
702#383C2314yes—
703#383C2314yes—
704#383C2314yes—
705#383C2312yes—
706#382C2311yescharacteristic
707#382C2311yescharacteristic
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#382C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2312yes—
719#381C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806#376C2312yes—
807#376C2311yescharacteristic
808#376C2311yescharacteristic
809#376C2314yes—
810#376C2314yes—
811#376C2312yes—
812C2×#95C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—28no—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C4⋊Q8—24no—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860C4⋊Q8—42no—
861C4⋊Q8—42no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864#127—24no—
865#127—24no—
866#127—44no—
867#127—44no—
868#126—48no—
869#126—48no—
870#125—28no—
871#125—42no—
872#125—42no—
873#124—28no—
874#124—28no—
875#124—44no—
876#124—44no—
877#124—48no—
878#124—44no—
879#124—44no—
880#124—44no—
881#124—44no—
882#124—44no—
883#124—44no—
884#124—48no—
885#123—48no—
886#123—48no—
887#123—48no—
888#123—48no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—48no—
894#121—28no—
895#121—24no—
896#121—24no—
897#121—28no—
898#121—28no—
899#121—44no—
900#121—44no—
901#121—44no—
902#121—44no—
903C4×Q8—28no—
904C4×Q8—28no—
905C4×Q8—28no—
906C4×Q8—28no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—48no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—42no—
923C4×D4—42no—
924C4×D4—44no—
925C4×D4—48no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—48no—
929C4×D4—48no—
930#117—28no—
931#117—24no—
932#117—44no—
933#117—44no—
934#117—48no—
935#117—42no—
936#117—42no—
937#117—48no—
938#117—42no—
939C2×C4⋊C4—42no—
940C2×C4⋊C4—42no—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C42—48no—
1060C2×C42—44no—
1061C2×C42—44no—
1062C2×C42—44no—
1063C2×C42#4118yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2412yes—
1113#95C2412yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2412yes—
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175C24C2512yes—
1176C24C2512yes—
1177C24C2514yes—
1178C24C2511yescharacteristic
1179#41—432no—
1180#41—816no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×D4—28no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—28no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—28no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—44no—
1258C22×C4—42no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4C2×#4114yes—
1281C22×C4C2×#4114yes—
1282C22×C4C2×#4114yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2514yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4H(5,𝔽2)14yes—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C42—28no—
1433C42—24no—
1434C42—28no—
1435C42—24no—
1436C42—24no—
1437C42—28no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—24no—
1442C42—22no—
1443C42—22no—
1444C42—24no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—24no—
1452C42—42no—
1453C42—42no—
1454C42—42no—
1455C42—42no—
1456C42—42no—
1457C42—42no—
1458C42—44no—
1459C42—41no—
1460C42—41no—
1461C42—42no—
1462C42—42no—
1463C42—44no—
1464C42—42no—
1465C42—44no—
1466C42—44no—
1467C42C2×#4114yes—
1468C42C2×#4114yes—
1469C42C2×#4114yes—
1470C42C2×#4114yes—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—22no—
1478C23—22no—
1479C23—24no—
1480C23—22no—
1481C23—22no—
1482C23—24no—
1483C23—22no—
1484C23—24no—
1485C23—24no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—24no—
1491C23—24no—
1492C23—22no—
1493C23—22no—
1494C23—24no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23C22×#4112yes—
1499C23C2611yescharacteristic
1500Q8—48no—
1501Q8—48no—
1502Q8—84no—
1503Q8—84no—
1504Q8—84no—
1505Q8—84no—
1506D4—48no—
1507D4—416no—
1508D4—44no—
1509D4—44no—
1510D4—48no—
1511D4—48no—
1512D4—84no—
1513D4—84no—
1514D4—84no—
1515D4—84no—
1516D4—88no—
1517D4—88no—
1518D4—164no—
1519D4—164no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—28no—
1535C2×C4—28no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—44no—
1603C2×C4—48no—
1604C2×C4—416no—
1605C2×C4—48no—
1606C2×C4—48no—
1607C2×C4—84no—
1608C2×C4—88no—
1609C2×C4—84no—
1610C2×C4—84no—
1611C2×C4—88no—
1612C2×C4—84no—
1613C2×C4—84no—
1614C2×C4C22×#4112yes—
1615C2×C4C22×#4112yes—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4C22×#4112yes—
1620C2×C4C2×H(5,𝔽2)14yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4#58512yes—
1623C2×C4#58512yes—
1624C2×C4#58512yes—
1625C2×C4#58512yes—
1626C2×C4#58512yes—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—42no—
1635C22—42no—
1636C22—44no—
1637C22—44no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—44no—
1643C22—42no—
1644C22—44no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—44no—
1649C22—42no—
1650C22—42no—
1651C22—44no—
1652C22—44no—
1653C22—42no—
1654C22—42no—
1655C22C23×#4111yescharacteristic
1656C22C22×H(5,𝔽2)11yescharacteristic
1657C22C2×#58511yescharacteristic
1658C22C2×#58511yescharacteristic
1659C22C2×#58511yescharacteristic
1660C22C2×#58511yescharacteristic
1661C22C2×#58511yescharacteristic
1662C4—22no—
1663C4—24no—
1664C4—22no—
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—22no—
1669C4—41no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—41no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—41no—
1679C4—42no—
1680C4—41no—
1681C4—42no—
1682C4—41no—
1683C4—41no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—44no—
1689C4—44no—
1690C4—44no—
1691C4#346014yes—
1692C4#351014yes—
1693C2—42no—
1694C2—82no—
1695C2—82no—
1696C2—84no—
1697C2C2×#346011yescharacteristic
1698C2C2×#351011yescharacteristic
1699C2#6281511yescharacteristic
1700C2#6301811yescharacteristic
1701C2#6302211yescharacteristic
1702C2#6302911yescharacteristic
1703C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#37618C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42700C2semidirect
2. #42528C2semidirect
3. #41635C2semidirect
4. #40971C2semidirect
5. #40307C2semidirect
6. #40033C2semidirect
7. #40032C2semidirect
8. #39565C2semidirect
9. #39560C2semidirect
10. #39515C2semidirect
11. #39513C2semidirect
12. #39202C2semidirect
13. #39201C2semidirect
14. #38723C2semidirect
15. #37972C2semidirect
16. #37969C2semidirect
18. #37573C2semidirect
19. #36469C2semidirect
20. #36463C2semidirect
21. #36437C2semidirect
22. #36229C2semidirect
23. #36188C2semidirect
24. #36175C2semidirect
25. #35974C2semidirect
26. #35956C2semidirect
27. #35298C2semidirect
28. #35218C2semidirect
29. #35180C2semidirect
30. #35107C2semidirect
31. #34966C2semidirect
32. #34917C2semidirect
33. #34231C2semidirect
34. #34155C2semidirect
35. #34141C2semidirect

Maximal subgroups

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

subgroupindex
#427002
#425282
#416352
#409712
#403072
#400332
#400322
#395652
#395602
#395152
#395132
#392022
#392012
#387232
#379722
#379692
#376182
#375732
#364692
#364632
#364372
#362292
#361882
#361752
#359742
#359562
#352982
#352182
#351802
#351072
#349662
#349172
#342312
#341552
#341412