Finite Group Databasebeta

← #7986710

Subgroups — #7986710

Order 512.

4803 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59665C211yesmaximal, characteristic, complemented
2#59504C212yesmaximal, complemented
3#59073C212yesmaximal, complemented
4#59057C211yesmaximal, characteristic, complemented
5#59052C211yesmaximal, characteristic, complemented
6#51931C214yesmaximal, complemented
7#51843C214yesmaximal, complemented
8#46081C214yesmaximal, complemented
9#45216C212yesmaximal, complemented
10#45203C212yesmaximal, complemented
11#45045C212yesmaximal, complemented
12#44951C212yesmaximal, complemented
13#42741C212yesmaximal, complemented
14#42740C212yesmaximal, complemented
15#42641C212yesmaximal, complemented
16#42638C212yesmaximal, complemented
17#39736C211yesmaximal, characteristic, complemented
18#39734C211yesmaximal, characteristic, complemented
19#39606C211yesmaximal, characteristic, complemented
20#39298C212yesmaximal, complemented
21#39148C211yesmaximal, characteristic, complemented
22#39131C212yesmaximal, complemented
23#39041C214yesmaximal, complemented
24#36271C211yesmaximal, characteristic, complemented
25#36255C212yesmaximal, complemented
26#36251C212yesmaximal, complemented
27#36150C211yesmaximal, characteristic, complemented
28#36115C211yesmaximal, characteristic, complemented
29#35234C212yesmaximal, complemented
30#35215C212yesmaximal, complemented
31#34932C211yesmaximal, characteristic, complemented
32#34898C211yesmaximal, characteristic, complemented
33#34394C211yesmaximal, characteristic, complemented
34#34368C211yesmaximal, characteristic, complemented
35C4×#554C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#554C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#529C2212yes—
41C2×#529C2212yes—
42#2860C2212yes—
43#2858C2211yescharacteristic
44#2857C2211yescharacteristic
45#2856C2211yescharacteristic
46#2854C2214yes—
47#2854C2214yes—
48#2852C2214yes—
49#2850C2212yes—
50#2837C2214yes—
51#2836C2214yes—
52#2800C2214yes—
53#2799C2214yes—
54#2793C2214yes—
55#2787C2214yes—
56#2786C2214yes—
57#2780C2214yes—
58#2780C2214yes—
59#2778C2214yes—
60#2768C2214yes—
61#2766C2214yes—
62#2761C2214yes—
63#2761C2214yes—
64#2757C2214yes—
65#2749C2214yes—
66#2749C2214yes—
67#2748C2214yes—
68#2748C2214yes—
69#2747C2214yes—
70#2747C2214yes—
71#2741C2214yes—
72#2738C2214yes—
73#2732C2214yes—
74#2732C2214yes—
75#2730C2214yes—
76#2730C2214yes—
77#2725C2214yes—
78#2722C2214yes—
79#2721C2214yes—
80#2714C2214yes—
81#2711C2214yes—
82#2698C2214yes—
83#2691C2214yes—
84#2688C2214yes—
85#2664C2214yes—
86#2662C2214yes—
87#2649C2214yes—
88#2648C2214yes—
89#2644C2214yes—
90#2644C2212yes—
91#2629C2214yes—
92#2629C2212yes—
93#2621C2212yes—
94#2620C2212yes—
95#2601C2214yes—
96#2601C2214yes—
97#2601C2214yes—
98#2594C2214yes—
99#2592C2212yes—
100#2584C2212yes—
101#2578C2214yes—
102#2577C2212yes—
103#2577C2214yes—
104#2575C2212yes—
105#2573C2214yes—
106#2571C2211yescharacteristic
107#2570C2212yes—
108#2570C2211yescharacteristic
109#2566C2212yes—
110#2565C2211yescharacteristic
111#2564C2214yes—
112#2562C2211yescharacteristic
113#2560C2214yes—
114#2559C2214yes—
115#2554C2214yes—
116#2553C2212yes—
117#2553C2212yes—
118#2553C2214yes—
119#2552C2211yescharacteristic
120#2552C2211yescharacteristic
121#2552C2212yes—
122#2550C2212yes—
123#2548C2211yescharacteristic
124#2547C2211yescharacteristic
125#2546C2211yescharacteristic
126#2545C2212yes—
127#2543C2214yes—
128#2542C2211yescharacteristic
129#2542C2211yescharacteristic
130#2542C2212yes—
131#2541C2211yescharacteristic
132#2540C2212yes—
133#2540C2212yes—
134#2538C2212yes—
135#2537C2211yescharacteristic
136#2536C2211yescharacteristic
137#2535C2212yes—
138#2532C2214yes—
139#2531C2214yes—
140#2524C2212yes—
141#2518C2214yes—
142#2514C2212yes—
143#2512C2212yes—
144#2512C2212yes—
145#2512C2212yes—
146#2512C2214yes—
147#2512C2212yes—
148#2510C2214yes—
149#2509C2212yes—
150#2509C2212yes—
151#2507C2212yes—
152#2507C2212yes—
153#2506C2212yes—
154#2506C2212yes—
155#2504C2212yes—
156#2502C2212yes—
157#2496C2211yescharacteristic
158#2496C2211yescharacteristic
159#2496C2211yescharacteristic
160#2495C2212yes—
161#2495C2211yescharacteristic
162#2494C2212yes—
163#2490C2212yes—
164#2490C2212yes—
165#2490C2214yes—
166#2490C2212yes—
167#2489C2212yes—
168#2487C2214yes—
169#2481C2214yes—
170#2479C2214yes—
171#2478C2214yes—
172#2478C2214yes—
173#2476C2214yes—
174#2471C2214yes—
175#2471C2214yes—
176#2470C2214yes—
177#2468C2212yes—
178#2468C2214yes—
179#2467C2214yes—
180#2467C2214yes—
181#2454C2212yes—
182#2454C2212yes—
183#2454C2212yes—
184#2454C2212yes—
185#2453C2214yes—
186#2452C2212yes—
187#2450C2214yes—
188#2449C2214yes—
189#2448C2212yes—
190#2447C2212yes—
191#2446C2212yes—
192#2445C2212yes—
193#2441C2212yes—
194#2429C2212yes—
195#2428C2212yes—
196#2428C2212yes—
197#2427C2212yes—
198#2427C2212yes—
199#2427C2212yes—
200#2427C2212yes—
201#2426C2212yes—
202#2426C2212yes—
203#2426C2212yes—
204#2423C2211yescharacteristic
205#2423C2214yes—
206#2423C2212yes—
207#2422C2211yescharacteristic
208#2422C2211yescharacteristic
209#2421C2211yescharacteristic
210#2420C2212yes—
211#2420C2212yes—
212#2420C2212yes—
213#2417C2212yes—
214#2417C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2414C2212yes—
218#2407C2212yes—
219#2407C2214yes—
220#2402C2212yes—
221#2395C2212yes—
222#2395C2212yes—
223#2395C2212yes—
224#2379C2214yes—
225#2378C2214yes—
226#2370C2212yes—
227#2370C2212yes—
228#2369C2211yescharacteristic
229#2369C2211yescharacteristic
230#2369C2211yescharacteristic
231#2368C2214yes—
232#2367C2212yes—
233#2367C2212yes—
234#2366C2211yescharacteristic
235#2366C2212yes—
236#2366C2211yescharacteristic
237#2366C2212yes—
238#2365C2211yescharacteristic
239#2365C2211yescharacteristic
240#2363C2212yes—
241#2363C2212yes—
242#2361C2212yes—
243#2360C2212yes—
244#2360C2212yes—
245#2356C2212yes—
246#2355C2212yes—
247#2355C2211yescharacteristic
248#2354C2212yes—
249#2354C2212yes—
250#2354C2212yes—
251#2351C2212yes—
252#2349C2212yes—
253D4×C4⋊C4C2212yes—
254D4×C4⋊C4C2212yes—
255D4×C4⋊C4C2211yescharacteristic
256#2347C2212yes—
257#2346C2212yes—
258#2345C2212yes—
259#2344C2214yes—
260#2341C2212yes—
261#2330C2212yes—
262#2330C2212yes—
263#2328C2212yes—
264#2324C2212yes—
265#2324C2212yes—
266#2324C2212yes—
267#2324C2212yes—
268#2324C2212yes—
269#2324C2212yes—
270#2323C2212yes—
271#2323C2212yes—
272#2323C2212yes—
273#2320C2214yes—
274#2311C2214yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#125C2212yes—
279C4×#126C2212yes—
280C4×C22⋊Q8C2214yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2298C2212yes—
288#2293C2212yes—
289#2290C2214yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2283C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300#556—48no—
301#554—28no—
302#533—28no—
303#532—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2312yes—
309C2×#127C2311yescharacteristic
310#529—48no—
311#529—48no—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2314yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2314yes—
389C2×#117C2314yes—
390C2×#117C2314yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2314yes—
393C22×C4⋊C4C2312yes—
394C22×C42C2312yes—
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2314yes—
398#401C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2312yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#399C2314yes—
413#399C2312yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2312yes—
418#399C2312yes—
419#399C2314yes—
420#399C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2312yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#395C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#393C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#391C2312yes—
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2311yescharacteristic
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2311yescharacteristic
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2314yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2312yes—
705#384C2314yes—
706#383C2312yes—
707#383C2312yes—
708#383C2314yes—
709#383C2314yes—
710#382C2312yes—
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2312yes—
720#381C2314yes—
721#381C2312yes—
722#381C2314yes—
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2314yes—
741#380C2312yes—
742#380C2314yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2314yes—
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811#376C2314yes—
812#376C2312yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—82no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2414yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C4⋊Q8—24no—
849C4⋊Q8—42no—
850C4⋊Q8—44no—
851C4⋊Q8#4118yes—
852#127—28no—
853#127—24no—
854#126—44no—
855#126—44no—
856#126—48no—
857#126—48no—
858#126—44no—
859#126—48no—
860#126—84no—
861#125—28no—
862#125—28no—
863#125—24no—
864#125—44no—
865#125—44no—
866#125—84no—
867#124—28no—
868#124—28no—
869#124—44no—
870#124—44no—
871#124—44no—
872#123—48no—
873#123—44no—
874#123—44no—
875C22⋊Q8—28no—
876C22⋊Q8—216no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—44no—
880C22⋊Q8—48no—
881C22⋊Q8—44no—
882C22⋊Q8—42no—
883C22⋊Q8—44no—
884C22⋊Q8—42no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887#121—24no—
888#121—24no—
889#121—28no—
890#121—28no—
891#121—44no—
892#121—44no—
893#121—44no—
894#121—44no—
895#121—44no—
896#121—84no—
897#121—84no—
898#121—82no—
899C4×Q8—28no—
900C4×Q8—28no—
901C4×Q8—24no—
902C4×Q8—28no—
903C4×Q8—24no—
904C4×Q8—42no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—82no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—42no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—42no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—48no—
924C4×D4—42no—
925C4×D4—48no—
926#117—28no—
927#117—44no—
928#117—44no—
929#117—44no—
930#117—48no—
931#117—48no—
932#117—84no—
933C2×C4⋊C4—28no—
934C2×C4⋊C4—44no—
935C2×C4⋊C4—48no—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C42—24no—
1067C2×C42—24no—
1068C2×C42—28no—
1069C2×C42—84no—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2414yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2414yes—
1125#95C2411yescharacteristic
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2411yescharacteristic
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174C24C2511yescharacteristic
1175C24C2514yes—
1176C24C2511yescharacteristic
1177C24C2512yes—
1178#41—816no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8C2×#4118yes—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—28no—
1194C2×D4—28no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—28no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D42−1+414yes—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—28no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—28no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—28no—
1247C22×C4—24no—
1248C22×C4—42no—
1249C22×C4—44no—
1250C22×C4—41no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—41no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—41no—
1265C22×C4—42no—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2514yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2514yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C4⋊C4—22no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—41no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4C2×#4118yes—
1370C4⋊C4C2×#4118yes—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—28no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—22no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—41no—
1396C22⋊C4—42no—
1397C22⋊C4—41no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—41no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—28no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—22no—
1442C42—24no—
1443C42—24no—
1444C42—24no—
1445C42—22no—
1446C42—22no—
1447C42—42no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42—41no—
1455C42—44no—
1456C42—42no—
1457C42—41no—
1458C42—42no—
1459C42C2×#4114yes—
1460C42H(5,𝔽2)14yes—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—21no—
1468C23—24no—
1469C23—21no—
1470C23—24no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—24no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—24no—
1480C23—24no—
1481C23—21no—
1482C23—24no—
1483C23—21no—
1484C23—21no—
1485C23—24no—
1486C23—21no—
1487C23—21no—
1488C23C2×2−1+414yes—
1489C23C2611yescharacteristic
1490Q8—48no—
1491Q8—44no—
1492Q8—48no—
1493Q8—84no—
1494D4—28no—
1495D4—44no—
1496D4—48no—
1497D4—48no—
1498D4—84no—
1499D4—88no—
1500D4—88no—
1501D4—84no—
1502D4—84no—
1503D4—88no—
1504D4—164no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—24no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—24no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—416no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—82no—
1596C2×C4—88no—
1597C2×C4—84no—
1598C2×C4—88no—
1599C2×C4—88no—
1600C2×C4—88no—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4118yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×H(5,𝔽2)12yes—
1607C2×C4C2×H(5,𝔽2)12yes—
1608C2×C4C2×2−1+412yes—
1609C2×C4#58512yes—
1610C2×C4#58512yes—
1611C2×C4#58512yes—
1612C22—24no—
1613C22—24no—
1614C22—24no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—41no—
1620C22—44no—
1621C22—41no—
1622C22—44no—
1623C22—41no—
1624C22—41no—
1625C22—44no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—44no—
1631C22—41no—
1632C22—41no—
1633C22—44no—
1634C22—41no—
1635C22—41no—
1636C22—44no—
1637C22—41no—
1638C22—44no—
1639C22—41no—
1640C22C23×#4111yescharacteristic
1641C22C22×H(5,𝔽2)11yescharacteristic
1642C22C22×2−1+411yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22C2×#58511yescharacteristic
1646C22H(7,𝔽2)11yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—28no—
1650C4—22no—
1651C4—22no—
1652C4—41no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—41no—
1660C4—42no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—42no—
1666C4—42no—
1667C4—44no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—41no—
1673C4—42no—
1674C4—42no—
1675C4—44no—
1676C4#351614yes—
1677C4#351714yes—
1678C2—44no—
1679C2—81no—
1680C2—84no—
1681C2—81no—
1682C2#6275911yescharacteristic
1683C2C2×#351611yescharacteristic
1684C2C2×#351711yescharacteristic
1685C2#6294411yescharacteristic
1686C2#6296911yescharacteristic
1687C2#6299011yescharacteristic
1688C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59665C2semidirect
2. #59504C2semidirect
3. #59073C2semidirect
4. #59057C2semidirect
5. #59052C2semidirect
6. #51931C2semidirect
7. #51843C2semidirect
8. #46081C2semidirect
9. #45216C2semidirect
10. #45203C2semidirect
11. #45045C2semidirect
12. #44951C2semidirect
13. #42741C2semidirect
14. #42740C2semidirect
15. #42641C2semidirect
16. #42638C2semidirect
17. #39736C2semidirect
18. #39734C2semidirect
19. #39606C2semidirect
20. #39298C2semidirect
21. #39148C2semidirect
22. #39131C2semidirect
23. #39041C2semidirect
24. #36271C2semidirect
25. #36255C2semidirect
26. #36251C2semidirect
27. #36150C2semidirect
28. #36115C2semidirect
29. #35234C2semidirect
30. #35215C2semidirect
31. #34932C2semidirect
32. #34898C2semidirect
33. #34394C2semidirect
34. #34368C2semidirect
35. C4×#554C2semidirect

Maximal subgroups

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

subgroupindex
#596652
#595042
#590732
#590572
#590522
#519312
#518432
#460812
#452162
#452032
#450452
#449512
#427412
#427402
#426412
#426382
#397362
#397342
#396062
#392982
#391482
#391312
#390412
#362712
#362552
#362512
#361502
#361152
#352342
#352152
#349322
#348982
#343942
#343682
C4×#5542