Finite Group Databasebeta

← #7987596

Subgroups — #7987596

Order 512.

4771 conjugacy classes of subgroups.

The subgroup lattice has 1629 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59828C211yesmaximal, characteristic, complemented
2#59679C211yesmaximal, characteristic, complemented
3#59638C212yesmaximal, complemented
4#59446C212yesmaximal, complemented
5#59445C211yesmaximal, characteristic, complemented
6#49930C214yesmaximal, complemented
7#48446C214yesmaximal, complemented
8#46210C214yesmaximal, complemented
9#45379C212yesmaximal, complemented
10#45323C212yesmaximal, complemented
11#45007C212yesmaximal, complemented
12#44962C212yesmaximal, complemented
13#42940C212yesmaximal, complemented
14#42939C212yesmaximal, complemented
15#42626C212yesmaximal, complemented
16#42569C212yesmaximal, complemented
17#40423C214yesmaximal, complemented
18#39816C212yesmaximal, complemented
19#39363C211yesmaximal, characteristic
20#38987C211yesmaximal, characteristic, complemented
21#38985C211yesmaximal, characteristic, complemented
22#38969C212yesmaximal, complemented
23#38952C211yesmaximal, characteristic
24#36609C211yesmaximal, characteristic, complemented
25#36556C211yesmaximal, characteristic, complemented
26#36505C212yesmaximal, complemented
27#36479C212yesmaximal, complemented
28#36276C211yesmaximal, characteristic, complemented
29#35307C212yesmaximal, complemented
30#35175C212yesmaximal, complemented
31#34951C211yesmaximal, characteristic, complemented
32#34893C211yesmaximal, characteristic, complemented
33#34487C211yesmaximal, characteristic, complemented
34#34484C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#554C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×D4×Q8C2211yescharacteristic
40C2×#536C2212yes—
41C2×C4×#41C2212yes—
42#2864C2212yes—
43#2862C2211yescharacteristic
44#2858C2211yescharacteristic
45#2858C2211yescharacteristic
46#2857C2212yes—
47#2855C2214yes—
48#2855C2214yes—
49#2851C2214yes—
50#2836C2214yes—
51#2831C2214yes—
52#2800C2214yes—
53#2798C2214yes—
54#2786C2214yes—
55#2783C2214yes—
56#2781C2214yes—
57#2779C2214yes—
58#2774C2214yes—
59#2761C2214yes—
60#2761C2214yes—
61#2754C2214yes—
62#2751C2214yes—
63#2751C2214yes—
64#2750C2214yes—
65#2747C2214yes—
66#2743C2214yes—
67#2740C2214yes—
68#2726C2214yes—
69#2725C2214yes—
70#2722C2214yes—
71#2715C2214yes—
72#2707C2214yes—
73#2707C2214yes—
74#2704C2214yes—
75#2700C2214yes—
76#2695C2214yes—
77#2694C2214yes—
78#2694C2214yes—
79#2690C2214yes—
80#2687C2214yes—
81#2681C2214yes—
82#2681C2214yes—
83#2672C2214yes—
84#2672C2214yes—
85#2667C2214yes—
86#2665C2214yes—
87#2664C2214yes—
88#2650C2214yes—
89#2644C2212yes—
90#2644C2212yes—
91#2625C2214yes—
92#2625C2214yes—
93#2620C2212yes—
94#2620C2212yes—
95#2608C2214yes—
96#2607C2214yes—
97#2601C2214yes—
98#2592C2212yes—
99#2592C2212yes—
100#2592C2212yes—
101#2589C2212yes—
102#2589C2214yes—
103#2588C2214yes—
104#2587C2212yes—
105#2587C2214yes—
106#2585C2212yes—
107#2585C2212yes—
108#2584C2211yescharacteristic
109#2582C2211yescharacteristic
110#2582C2212yes—
111#2580C2212yes—
112#2580C2211yescharacteristic
113#2574C2214yes—
114#2574C2214yes—
115#2570C2212yes—
116#2568C2211yescharacteristic
117#2567C2211yescharacteristic
118#2567C2211yescharacteristic
119#2566C2212yes—
120#2566C2211yescharacteristic
121#2562C2214yes—
122#2558C2214yes—
123#2556C2214yes—
124#2556C2214yes—
125#2552C2212yes—
126#2552C2212yes—
127#2552C2211yescharacteristic
128#2550C2212yes—
129#2550C2211yescharacteristic
130#2550C2212yes—
131#2549C2214yes—
132#2549C2214yes—
133#2548C2211yescharacteristic
134#2548C2211yescharacteristic
135#2547C2212yes—
136#2546C2211yescharacteristic
137#2546C2211yescharacteristic
138#2546C2211yescharacteristic
139#2545C2212yes—
140#2545C2212yes—
141#2538C2212yes—
142#2536C2214yes—
143#2522C2212yes—
144#2522C2214yes—
145#2520C2214yes—
146#2513C2212yes—
147#2513C2212yes—
148#2513C2212yes—
149#2513C2212yes—
150#2512C2212yes—
151#2512C2212yes—
152#2512C2212yes—
153#2512C2212yes—
154#2511C2212yes—
155#2511C2211yescharacteristic
156#2511C2211yescharacteristic
157#2511C2212yes—
158#2509C2212yes—
159#2509C2211yescharacteristic
160#2509C2212yes—
161#2508C2212yes—
162#2508C2212yes—
163#2507C2211yescharacteristic
164#2506C2212yes—
165#2506C2212yes—
166#2506C2212yes—
167#2502C2212yes—
168#2501C2212yes—
169#2498C2214yes—
170#2488C2214yes—
171#2479C2214yes—
172#2475C2214yes—
173#2475C2214yes—
174#2468C2214yes—
175#2466C2214yes—
176#2465C2214yes—
177#2465C2212yes—
178#2462C2214yes—
179#2460C2214yes—
180#2460C2214yes—
181#2460C2214yes—
182#2458C2214yes—
183#2454C2212yes—
184#2454C2212yes—
185#2454C2212yes—
186#2454C2211yescharacteristic
187#2453C2212yes—
188#2453C2214yes—
189#2452C2211yescharacteristic
190#2452C2212yes—
191#2452C2212yes—
192#2452C2212yes—
193#2448C2212yes—
194#2448C2212yes—
195#2448C2212yes—
196#2447C2212yes—
197#2447C2212yes—
198#2447C2212yes—
199#2447C2212yes—
200#2447C2212yes—
201#2446C2212yes—
202#2446C2211yescharacteristic
203#2446C2211yescharacteristic
204#2446C2212yes—
205#2446C2212yes—
206#2446C2212yes—
207#2445C2212yes—
208#2445C2212yes—
209#2445C2212yes—
210#2445C2212yes—
211#2436C2212yes—
212#2434C2212yes—
213#2432C2212yes—
214#2432C2212yes—
215#2419C2214yes—
216#2419C2214yes—
217#2419C2214yes—
218#2419C2214yes—
219#2419C2214yes—
220#2402C2212yes—
221#2402C2212yes—
222#2396C2212yes—
223#2396C2212yes—
224#2378C2214yes—
225#2378C2214yes—
226#2370C2212yes—
227#2370C2212yes—
228#2369C2211yescharacteristic
229#2369C2212yes—
230#2367C2212yes—
231#2367C2212yes—
232#2367C2212yes—
233#2366C2212yes—
234#2366C2211yescharacteristic
235#2365C2212yes—
236#2365C2212yes—
237#2365C2211yescharacteristic
238#2363C2214yes—
239#2363C2212yes—
240#2362C2212yes—
241#2362C2212yes—
242#2359C2214yes—
243#2357C2212yes—
244#2357C2212yes—
245#2357C2212yes—
246#2355C2211yescharacteristic
247#2355C2212yes—
248#2355C2212yes—
249#2354C2212yes—
250#2354C2212yes—
251#2354C2211yescharacteristic
252Q8×C4⋊C4C2211yescharacteristic
253Q8×C4⋊C4C2211yescharacteristic
254#2349C2212yes—
255#2349C2212yes—
256#2344C2212yes—
257#2341C2212yes—
258Q8×C22⋊C4C2212yes—
259#2332C2214yes—
260#2331C2212yes—
261#2330C2212yes—
262#2323C2214yes—
263#2323C2212yes—
264#2323C2212yes—
265#2319C2212yes—
266#2319C2212yes—
267#2319C2212yes—
268#2319C2212yes—
269#2316C2212yes—
270#2311C2212yes—
271#2310C2212yes—
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#127C2212yes—
280C4×#125C2211yescharacteristic
281C4×#125C2211yescharacteristic
282C4×#125C2212yes—
283C4×#125C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2214yes—
286C4×#121C2214yes—
287C4×#121C2212yes—
288#2296C2212yes—
289#2295C2212yes—
290#2295C2211yescharacteristic
291#2295C2211yescharacteristic
292C2×#391C2212yes—
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2212yes—
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#557—48no—
302#554—28no—
303#550—28no—
304D4×Q8—28no—
305#536—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C4×#41—48no—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2314yes—
362C2×C4×Q8C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2314yes—
381C2×#117C2314yes—
382C22×C4⋊C4C2312yes—
383C22×C42C2314yes—
384C22×C42C2312yes—
385#400C2312yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#399C2312yes—
404#399C2314yes—
405#399C2314yes—
406#399C2312yes—
407#399C2314yes—
408#399C2314yes—
409#398C2314yes—
410#398C2312yes—
411#398C2314yes—
412#398C2312yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#398C2314yes—
420#398C2312yes—
421#398C2312yes—
422#398C2312yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
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#396C2314yes—
450#396C2312yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2312yes—
468#395C2314yes—
469#395C2314yes—
470#395C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2312yes—
485#393C2312yes—
486#393C2314yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2312yes—
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2312yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2314yes—
508#391C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2314yes—
512#391C2314yes—
513#391C2312yes—
514#391C2314yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2314yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2314yes—
594#389C2314yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2312yes—
682#387C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2314yes—
699#385C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2312yes—
709#385C2314yes—
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2312yes—
718#384C2312yes—
719#382C2311yescharacteristic
720#382C2312yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#382C2312yes—
724#382C2314yes—
725#382C2312yes—
726#382C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—28no—
817C2×#41—28no—
818C2×#41—44no—
819C22×Q8—28no—
820C22×Q8—44no—
821C22×Q8—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2411yescharacteristic
834C22×D4C2414yes—
835C22×D4C2412yes—
836C23×C4C2414yes—
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C4⋊Q8—24no—
845C4⋊Q8—28no—
846C4⋊Q8—24no—
847C4⋊Q8—28no—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—42no—
852C4⋊Q8—44no—
853#127—28no—
854#127—24no—
855#126—84no—
856#126—84no—
857#125—28no—
858#125—24no—
859#125—24no—
860#125—48no—
861#125—44no—
862#125—48no—
863#125—48no—
864#125—84no—
865#124—44no—
866#124—44no—
867#124—44no—
868#124—44no—
869#124—44no—
870#124—82no—
871#123—48no—
872#123—48no—
873#123—48no—
874#123—84no—
875C22⋊Q8—28no—
876C22⋊Q8—28no—
877C22⋊Q8—216no—
878C22⋊Q8—216no—
879C22⋊Q8—44no—
880C22⋊Q8—48no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883#121—28no—
884#121—216no—
885C4×Q8—24no—
886C4×Q8—28no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—24no—
890C4×Q8—24no—
891C4×Q8—42no—
892C4×Q8—44no—
893C4×Q8—42no—
894C4×Q8—48no—
895C4×Q8—44no—
896C4×Q8—42no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—82no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—28no—
907C4×D4—44no—
908C4×D4—48no—
909C4×D4—48no—
910C4×D4—44no—
911C4×D4—84no—
912C4×D4—82no—
913C4×D4#4118yes—
914#117—44no—
915#117—44no—
916#117—44no—
917#117—48no—
918#117—84no—
919C2×C4⋊C4—28no—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C42—48no—
1044C2×C42—44no—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2414yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2411yescharacteristic
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2411yescharacteristic
1121#95C2412yes—
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163C24C2514yes—
1164C24C2512yes—
1165#41—432no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—28no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—42no—
1183C2×Q8—41no—
1184C2×Q8—41no—
1185C2×Q8—42no—
1186C2×Q8—44no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—816no—
1190C2×Q8H(5,𝔽2)14yes—
1191C2×D4—28no—
1192C2×D4—28no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—28no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—42no—
1206C2×D4—44no—
1207C2×D4—42no—
1208C2×D4C2×#4114yes—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—28no—
1212C22×C4—28no—
1213C22×C4—28no—
1214C22×C4—28no—
1215C22×C4—24no—
1216C22×C4—28no—
1217C22×C4—24no—
1218C22×C4—28no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4C2×#4118yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2514yes—
1247C22×C4C2514yes—
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—28no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—28no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—28no—
1283C4⋊C4—24no—
1284C4⋊C4—28no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—41no—
1317C4⋊C4—42no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4C2×#4114yes—
1350C4⋊C42−1+414yes—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—24no—
1355C22⋊C4—28no—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—24no—
1359C22⋊C4—28no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4C2×#4118yes—
1389C42—24no—
1390C42—24no—
1391C42—24no—
1392C42—24no—
1393C42—22no—
1394C42—28no—
1395C42—24no—
1396C42—22no—
1397C42—24no—
1398C42—22no—
1399C42—24no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—24no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—42no—
1411C42—44no—
1412C42—42no—
1413C42—44no—
1414C42—44no—
1415C42—41no—
1416C42—42no—
1417C42—42no—
1418C42—41no—
1419C42—41no—
1420C42—44no—
1421C42—44no—
1422C42—44no—
1423C42—41no—
1424C42—41no—
1425C42—42no—
1426C42—44no—
1427C42C2×#4114yes—
1428C422−1+414yes—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—24no—
1436C23—24no—
1437C23—24no—
1438C23—24no—
1439C23—24no—
1440C23—24no—
1441C23—24no—
1442C23C22×#4114yes—
1443C23C2611yescharacteristic
1444Q8—28no—
1445Q8—48no—
1446Q8—44no—
1447Q8—44no—
1448Q8—48no—
1449Q8—44no—
1450Q8—84no—
1451Q8—88no—
1452D4—28no—
1453D4—416no—
1454D4—48no—
1455D4—48no—
1456D4—84no—
1457D4—88no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—216no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—24no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—416no—
1546C2×C4—84no—
1547C2×C4—88no—
1548C2×C4—84no—
1549C2×C4—88no—
1550C2×C4—88no—
1551C2×C4—88no—
1552C2×C4C22×#4112yes—
1553C2×C4C22×#4114yes—
1554C2×C4C22×#4112yes—
1555C2×C4C22×#4112yes—
1556C2×C4C2×H(5,𝔽2)14yes—
1557C2×C4C2×H(5,𝔽2)12yes—
1558C2×C4C2×2−1+412yes—
1559C2×C4C2×2−1+412yes—
1560C2×C4C2×2−1+414yes—
1561C2×C4C2×2−1+412yes—
1562C2×C4C2×2−1+412yes—
1563C2×C4#58512yes—
1564C2×C4#58512yes—
1565C22—24no—
1566C22—24no—
1567C22—24no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—44no—
1573C22—44no—
1574C22—44no—
1575C22—44no—
1576C22—44no—
1577C22—44no—
1578C22—44no—
1579C22C23×#4111yescharacteristic
1580C22C22×H(5,𝔽2)11yescharacteristic
1581C22C22×2−1+411yescharacteristic
1582C22C22×2−1+411yescharacteristic
1583C22C2×#58511yescharacteristic
1584C22C2×#58511yescharacteristic
1585C22H(7,𝔽2)11yescharacteristic
1586C4—22no—
1587C4—24no—
1588C4—22no—
1589C4—22no—
1590C4—24no—
1591C4—24no—
1592C4—22no—
1593C4—42no—
1594C4—42no—
1595C4—44no—
1596C4—42no—
1597C4—41no—
1598C4—41no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—41no—
1603C4—41no—
1604C4—42no—
1605C4—44no—
1606C4—42no—
1607C4—41no—
1608C4—42no—
1609C4—41no—
1610C4—44no—
1611C4—42no—
1612C4—41no—
1613C4—42no—
1614C4—41no—
1615C4—41no—
1616C4—42no—
1617C4#350914yes—
1618C4#351314yes—
1619C2—44no—
1620C2—84no—
1621C2#6276111yescharacteristic
1622C2C2×#351311yescharacteristic
1623C2C2×#350911yescharacteristic
1624C2#6291711yescharacteristic
1625C2#6295211yescharacteristic
1626C2#6301011yescharacteristic
1627C2#6301511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#550C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59828C2semidirect
2. #59679C2semidirect
3. #59638C2semidirect
4. #59446C2semidirect
5. #59445C2semidirect
6. #49930C2semidirect
7. #48446C2semidirect
8. #46210C2semidirect
9. #45379C2semidirect
10. #45323C2semidirect
11. #45007C2semidirect
12. #44962C2semidirect
13. #42940C2semidirect
14. #42939C2semidirect
15. #42626C2semidirect
16. #42569C2semidirect
17. #40423C2semidirect
18. #39816C2semidirect
20. #38987C2semidirect
21. #38985C2semidirect
22. #38969C2semidirect
24. #36609C2semidirect
25. #36556C2semidirect
26. #36505C2semidirect
27. #36479C2semidirect
28. #36276C2semidirect
29. #35307C2semidirect
30. #35175C2semidirect
31. #34951C2semidirect
32. #34893C2semidirect
33. #34487C2semidirect
34. #34484C2semidirect

Maximal subgroups

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

subgroupindex
#598282
#596792
#596382
#594462
#594452
#499302
#484462
#462102
#453792
#453232
#450072
#449622
#429402
#429392
#426262
#425692
#404232
#398162
#393632
#389872
#389852
#389692
#389522
#366092
#365562
#365052
#364792
#362762
#353072
#351752
#349512
#348932
#344872
#344842
C4×#5502