Finite Group Databasebeta

← #7657394

Subgroups — #7657394

Order 512.

4712 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42858C212yesmaximal, complemented
2#42857C212yesmaximal, complemented
3#42741C212yesmaximal, complemented
4#42735C212yesmaximal, complemented
5#42259C214yesmaximal, complemented
6#42110C214yesmaximal, complemented
7#41186C214yesmaximal, complemented
8#41162C214yesmaximal, complemented
9#39823C212yesmaximal, complemented
10#39725C211yesmaximal, characteristic
11#39688C212yesmaximal, complemented
12#39599C211yesmaximal, characteristic, complemented
13#39181C211yesmaximal, characteristic, complemented
14#39174C211yesmaximal, characteristic, complemented
15#38238C212yesmaximal, complemented
16#38230C212yesmaximal, complemented
17#37629C212yesmaximal, complemented
18#37629C211yesmaximal, characteristic, complemented
19#37628C211yesmaximal, characteristic, complemented
20#37571C212yesmaximal, complemented
21#36587C211yesmaximal, characteristic, complemented
22#36561C211yesmaximal, characteristic, complemented
23#36299C211yesmaximal, characteristic, complemented
24#36271C211yesmaximal, characteristic, complemented
25#35909C212yesmaximal, complemented
26#35880C212yesmaximal, complemented
27#35846C212yesmaximal, complemented
28#35724C212yesmaximal, complemented
29#35299C212yesmaximal, complemented
30#35288C211yesmaximal, characteristic, complemented
31#34621C212yesmaximal, complemented
32#34619C211yesmaximal, characteristic, complemented
33#34328C211yesmaximal, characteristic, complemented
34#34313C211yesmaximal, characteristic, complemented
35#34145C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#556C2212yes—
38C2×#554C2212yes—
39C2×#550C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#520C2212yes—
42#2863C2212yes—
43#2860C2212yes—
44#2859C2211yescharacteristic
45#2858C2211yescharacteristic
46#2857C2212yes—
47#2857C2211yescharacteristic
48#2856C2211yescharacteristic
49#2850C2212yes—
50#2836C2214yes—
51#2836C2214yes—
52#2831C2214yes—
53#2830C2214yes—
54#2830C2214yes—
55#2830C2214yes—
56#2808C2214yes—
57#2800C2214yes—
58#2800C2214yes—
59#2797C2214yes—
60#2788C2214yes—
61#2787C2214yes—
62#2786C2214yes—
63#2784C2214yes—
64#2780C2214yes—
65#2774C2214yes—
66#2770C2214yes—
67#2764C2214yes—
68#2757C2214yes—
69#2749C2214yes—
70#2738C2214yes—
71#2729C2214yes—
72#2726C2214yes—
73#2713C2214yes—
74#2711C2214yes—
75#2711C2214yes—
76#2711C2214yes—
77#2704C2214yes—
78#2700C2214yes—
79#2676C2214yes—
80#2664C2214yes—
81#2654C2212yes—
82#2654C2214yes—
83#2653C2212yes—
84#2652C2214yes—
85#2652C2214yes—
86#2651C2214yes—
87#2651C2214yes—
88#2650C2214yes—
89#2650C2212yes—
90#2649C2212yes—
91#2648C2214yes—
92#2648C2214yes—
93#2647C2212yes—
94#2647C2211yescharacteristic
95#2647C2212yes—
96#2645C2211yescharacteristic
97#2644C2214yes—
98#2644C2212yes—
99#2644C2211yescharacteristic
100#2644C2212yes—
101#2644C2212yes—
102#2644C2212yes—
103#2641C2212yes—
104#2640C2211yescharacteristic
105#2640C2212yes—
106#2640C2214yes—
107#2640C2212yes—
108#2638C2214yes—
109#2638C2214yes—
110#2638C2214yes—
111#2629C2212yes—
112#2628C2211yescharacteristic
113#2625C2211yescharacteristic
114#2625C2212yes—
115#2624C2211yescharacteristic
116#2624C2212yes—
117#2621C2212yes—
118#2620C2211yescharacteristic
119#2619C2212yes—
120#2611C2214yes—
121#2603C2214yes—
122#2601C2214yes—
123#2600C2214yes—
124#2597C2214yes—
125#2596C2214yes—
126#2592C2212yes—
127#2589C2214yes—
128#2587C2214yes—
129#2584C2212yes—
130#2583C2214yes—
131#2582C2212yes—
132#2582C2211yescharacteristic
133#2581C2212yes—
134#2580C2212yes—
135#2578C2214yes—
136#2571C2211yescharacteristic
137#2570C2212yes—
138#2566C2212yes—
139#2564C2214yes—
140#2560C2214yes—
141#2560C2214yes—
142#2560C2214yes—
143#2556C2214yes—
144#2551C2212yes—
145#2551C2211yescharacteristic
146#2548C2212yes—
147#2548C2211yescharacteristic
148#2548C2212yes—
149#2548C2211yescharacteristic
150#2546C2212yes—
151#2546C2212yes—
152#2546C2211yescharacteristic
153#2545C2212yes—
154#2542C2211yescharacteristic
155#2540C2212yes—
156#2538C2211yescharacteristic
157#2532C2214yes—
158#2531C2214yes—
159#2527C2214yes—
160#2526C2214yes—
161#2515C2214yes—
162#2513C2212yes—
163#2513C2212yes—
164#2513C2212yes—
165#2513C2212yes—
166#2512C2212yes—
167#2509C2212yes—
168#2509C2212yes—
169#2507C2212yes—
170#2506C2212yes—
171#2504C2212yes—
172#2495C2212yes—
173#2492C2212yes—
174#2491C2212yes—
175#2490C2212yes—
176#2484C2214yes—
177#2478C2214yes—
178#2478C2214yes—
179#2477C2214yes—
180#2475C2214yes—
181#2475C2214yes—
182#2474C2214yes—
183#2473C2214yes—
184#2466C2214yes—
185#2466C2214yes—
186#2454C2212yes—
187#2452C2214yes—
188#2452C2212yes—
189#2452C2212yes—
190#2452C2214yes—
191#2452C2212yes—
192#2452C2212yes—
193#2451C2212yes—
194#2451C2212yes—
195#2449C2214yes—
196#2448C2212yes—
197#2447C2212yes—
198#2447C2212yes—
199#2447C2214yes—
200#2447C2212yes—
201#2447C2212yes—
202#2447C2212yes—
203#2444C2214yes—
204#2432C2212yes—
205#2432C2212yes—
206#2432C2212yes—
207#2429C2212yes—
208#2429C2212yes—
209#2429C2212yes—
210#2427C2212yes—
211#2426C2212yes—
212#2426C2212yes—
213#2426C2212yes—
214#2421C2212yes—
215#2421C2212yes—
216#2420C2212yes—
217#2417C2212yes—
218#2415C2214yes—
219#2407C2212yes—
220#2401C2212yes—
221#2398C2212yes—
222#2396C2212yes—
223#2395C2214yes—
224#2395C2214yes—
225#2395C2212yes—
226#2392C2214yes—
227#2392C2214yes—
228#2371C2214yes—
229#2370C2212yes—
230#2370C2212yes—
231#2370C2212yes—
232#2369C2211yescharacteristic
233#2369C2211yescharacteristic
234#2368C2212yes—
235#2368C2212yes—
236#2367C2212yes—
237#2366C2212yes—
238#2366C2211yescharacteristic
239#2365C2211yescharacteristic
240#2365C2212yes—
241#2365C2211yescharacteristic
242#2365C2211yescharacteristic
243#2361C2212yes—
244#2361C2214yes—
245#2361C2212yes—
246#2360C2212yes—
247#2360C2212yes—
248#2360C2211yescharacteristic
249#2360C2211yescharacteristic
250#2360C2211yescharacteristic
251#2360C2211yescharacteristic
252#2357C2212yes—
253#2356C2212yes—
254#2356C2212yes—
255#2355C2211yescharacteristic
256#2355C2211yescharacteristic
257Q8×C4⋊C4C2211yescharacteristic
258D4×C4⋊C4C2212yes—
259D4×C4⋊C4C2211yescharacteristic
260#2344C2212yes—
261#2341C2212yes—
262#2336C2214yes—
263#2331C2212yes—
264#2327C2212yes—
265#2326C2212yes—
266#2324C2212yes—
267#2324C2212yes—
268#2324C2214yes—
269#2324C2212yes—
270#2323C2212yes—
271#2319C2212yes—
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×#127C2212yes—
275C4×#127C2211yescharacteristic
276C4×#125C2212yes—
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2212yes—
282#2296C2212yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2295C2212yes—
288#2295C2211yescharacteristic
289#2293C2211yescharacteristic
290#2293C2212yes—
291#2293C2212yes—
292#2293C2212yes—
293#2276C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#557—28no—
301#556—48no—
302#554—48no—
303#550—28no—
304#533—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347#520—48no—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×#117C2312yes—
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2314yes—
381C2×#117C2314yes—
382C2×#117C2314yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2314yes—
386C22×C4⋊C4C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2312yes—
389#401C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2312yes—
410#399C2312yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#397C2312yes—
430#397C2312yes—
431#397C2314yes—
432#397C2312yes—
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#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2312yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2312yes—
503#393C2314yes—
504#393C2314yes—
505#393C2312yes—
506#393C2312yes—
507#392C2314yes—
508#392C2314yes—
509#391C2312yes—
510#391C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2312yes—
519#391C2314yes—
520#391C2312yes—
521#391C2314yes—
522#391C2314yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2311yescharacteristic
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2311yescharacteristic
563#390C2311yescharacteristic
564#390C2312yes—
565#390C2314yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2314yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2314yes—
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2314yes—
683#387C2312yes—
684#387C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2314yes—
712#385C2312yes—
713#385C2314yes—
714#385C2312yes—
715#385C2312yes—
716#385C2312yes—
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2312yes—
722#383C2314yes—
723#383C2314yes—
724#382C2312yes—
725#382C2311yescharacteristic
726#382C2312yes—
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#381C2314yes—
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742#380C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804#376C2311yescharacteristic
805#376C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809#376C2311yescharacteristic
810#376C2312yes—
811C2×#95C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2414yes—
839C23×C4C2414yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C23×C4C2412yes—
844C4⋊Q8—24no—
845C4⋊Q8—28no—
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848C4⋊Q8—44no—
849C4⋊Q8—42no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—84no—
853#127—24no—
854#127—28no—
855#126—48no—
856#126—48no—
857#125—28no—
858#125—216no—
859#125—28no—
860#125—48no—
861#125—82no—
862#124—44no—
863#124—42no—
864#124—44no—
865#124—44no—
866#124—44no—
867#124—84no—
868C22⋊Q8—24no—
869C22⋊Q8—24no—
870C22⋊Q8—24no—
871C22⋊Q8—28no—
872C22⋊Q8—48no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—84no—
880#121—24no—
881#121—28no—
882#121—28no—
883#121—216no—
884#121—44no—
885#121—82no—
886C4×Q8—28no—
887C4×Q8—24no—
888C4×Q8—28no—
889C4×Q8—24no—
890C4×Q8—28no—
891C4×Q8—24no—
892C4×Q8—28no—
893C4×Q8—24no—
894C4×Q8—44no—
895C4×Q8—42no—
896C4×Q8—44no—
897C4×Q8—42no—
898C4×Q8—44no—
899C4×Q8#4118yes—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—28no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—48no—
908C4×D4—48no—
909C4×D4—44no—
910C4×D4—48no—
911C4×D4—84no—
912C4×D4—82no—
913C4×D4—84no—
914#117—24no—
915#117—28no—
916#117—42no—
917#117—44no—
918#117—48no—
919#117—48no—
920#117—84no—
921C2×C4⋊C4—28no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—42no—
924C2×C4⋊C4—48no—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C42—24no—
1049C2×C42—44no—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2412yes—
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24C2514yes—
1166C24C2512yes—
1167C24C2511yescharacteristic
1168#41—432no—
1169C2×Q8—22no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8—44no—
1189C2×Q8C2×#4114yes—
1190C2×D4—24no—
1191C2×D4—28no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—28no—
1195C2×D4—24no—
1196C2×D4—28no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—42no—
1207C2×D4—44no—
1208C2×D4—42no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—28no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—28no—
1225C22×C4—24no—
1226C22×C4—28no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—42no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—42no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C42−1+414yes—
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4C2×#4114yes—
1348C4⋊C4C2×#4118yes—
1349C4⋊C4H(5,𝔽2)14yes—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—28no—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—24no—
1359C22⋊C4—28no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—24no—
1403C42—28no—
1404C42—24no—
1405C42—24no—
1406C42—22no—
1407C42—24no—
1408C42—24no—
1409C42—28no—
1410C42—24no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—24no—
1415C42—24no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—42no—
1421C42—42no—
1422C42—41no—
1423C42—41no—
1424C42—42no—
1425C42—42no—
1426C42—44no—
1427C42—42no—
1428C42—44no—
1429C42—42no—
1430C42—41no—
1431C42—42no—
1432C42—44no—
1433C42—42no—
1434C42—44no—
1435C42—41no—
1436C42C2×#4114yes—
1437C42C2×#4118yes—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—22no—
1445C23—24no—
1446C23—24no—
1447C23—22no—
1448C23—22no—
1449C23—24no—
1450C23—22no—
1451C23—22no—
1452C23—24no—
1453C23—24no—
1454C23—22no—
1455C23—24no—
1456C23—24no—
1457C23—22no—
1458C23C2×2−1+412yes—
1459C23C2611yescharacteristic
1460Q8—28no—
1461Q8—44no—
1462Q8—48no—
1463Q8—44no—
1464Q8—84no—
1465Q8—84no—
1466Q8—164no—
1467D4—416no—
1468D4—48no—
1469D4—48no—
1470D4—44no—
1471D4—48no—
1472D4—84no—
1473D4—88no—
1474D4—88no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—28no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—416no—
1562C2×C4—44no—
1563C2×C4—48no—
1564C2×C4—82no—
1565C2×C4—88no—
1566C2×C4—88no—
1567C2×C4—84no—
1568C2×C4—84no—
1569C2×C4—164no—
1570C2×C4C22×#4114yes—
1571C2×C4C22×#4112yes—
1572C2×C4C22×#4114yes—
1573C2×C4C22×#4112yes—
1574C2×C4C22×#4112yes—
1575C2×C4C2×H(5,𝔽2)14yes—
1576C2×C4C2×H(5,𝔽2)12yes—
1577C2×C4C2×2−1+412yes—
1578C2×C4C2×2−1+412yes—
1579C2×C4#58512yes—
1580C2×C4#58512yes—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—42no—
1589C22—44no—
1590C22—42no—
1591C22—44no—
1592C22—42no—
1593C22—44no—
1594C22—42no—
1595C22—44no—
1596C22—44no—
1597C22—42no—
1598C22—44no—
1599C22—42no—
1600C22—42no—
1601C22—44no—
1602C22C23×#4111yescharacteristic
1603C22C22×H(5,𝔽2)11yescharacteristic
1604C22C22×2−1+411yescharacteristic
1605C22C2×#58511yescharacteristic
1606C22C2×#58511yescharacteristic
1607C22H(7,𝔽2)11yescharacteristic
1608C222−1+611yescharacteristic
1609C4—22no—
1610C4—22no—
1611C4—24no—
1612C4—24no—
1613C4—24no—
1614C4—42no—
1615C4—42no—
1616C4—41no—
1617C4—42no—
1618C4—41no—
1619C4—41no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—44no—
1624C4—42no—
1625C4—41no—
1626C4—41no—
1627C4—42no—
1628C4—41no—
1629C4—42no—
1630C4—42no—
1631C4—44no—
1632C4—41no—
1633C4—41no—
1634C4—44no—
1635C4—41no—
1636C4—41no—
1637C4—42no—
1638C4—42no—
1639C4#346014yes—
1640C4#351614yes—
1641C2—42no—
1642C2—82no—
1643C2—84no—
1644C2C2×#346011yescharacteristic
1645C2C2×#351611yescharacteristic
1646C2#6285711yescharacteristic
1647C2#6291311yescharacteristic
1648C2#6292011yescharacteristic
1649C2#6296211yescharacteristic
1650C2#6296711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39725C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42858C2semidirect
2. #42857C2semidirect
3. #42741C2semidirect
4. #42735C2semidirect
5. #42259C2semidirect
6. #42110C2semidirect
7. #41186C2semidirect
8. #41162C2semidirect
9. #39823C2semidirect
11. #39688C2semidirect
12. #39599C2semidirect
13. #39181C2semidirect
14. #39174C2semidirect
15. #38238C2semidirect
16. #38230C2semidirect
17. #37629C2semidirect
18. #37629C2semidirect
19. #37628C2semidirect
20. #37571C2semidirect
21. #36587C2semidirect
22. #36561C2semidirect
23. #36299C2semidirect
24. #36271C2semidirect
25. #35909C2semidirect
26. #35880C2semidirect
27. #35846C2semidirect
28. #35724C2semidirect
29. #35299C2semidirect
30. #35288C2semidirect
31. #34621C2semidirect
32. #34619C2semidirect
33. #34328C2semidirect
34. #34313C2semidirect
35. #34145C2semidirect

Maximal subgroups

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

subgroupindex
#428582
#428572
#427412
#427352
#422592
#421102
#411862
#411622
#398232
#397252
#396882
#395992
#391812
#391742
#382382
#382302
#376292
#376282
#375712
#365872
#365612
#362992
#362712
#359092
#358802
#358462
#357242
#352992
#352882
#346212
#346192
#343282
#343132
#341452