Finite Group Databasebeta

← #7693110

Subgroups — #7693110

Order 512.

5563 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59680C211yesmaximal, characteristic, complemented
2#59642C211yesmaximal, characteristic, complemented
3#59552C214yesmaximal, complemented
4#59544C212yesmaximal, complemented
5#59434C211yesmaximal, characteristic, complemented
6#59404C212yesmaximal, complemented
7#59145C212yesmaximal, complemented
8#59062C212yesmaximal, complemented
9#45368C212yesmaximal, complemented
10#44962C212yesmaximal, complemented
11#44283C214yesmaximal, complemented
12#43443C214yesmaximal, complemented
13#40162C214yesmaximal, complemented
14#40145C212yesmaximal, complemented
15#40140C212yesmaximal, complemented
16#39730C212yesmaximal, complemented
17#38956C211yesmaximal, characteristic, complemented
18#38951C211yesmaximal, characteristic, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36469C211yesmaximal, characteristic, complemented
21#36442C212yesmaximal, complemented
22#36313C211yesmaximal, characteristic, complemented
23#36292C212yesmaximal, complemented
24#36255C212yesmaximal, complemented
25#36125C211yesmaximal, characteristic, complemented
26#36115C211yesmaximal, characteristic, complemented
27#35844C212yesmaximal, complemented
28#35778C212yesmaximal, complemented
29#34941C211yesmaximal, characteristic, complemented
30#34727C212yesmaximal, complemented
31#34313C211yesmaximal, characteristic, complemented
32#34308C211yesmaximal, characteristic, complemented
33#34206C212yesmaximal, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#559C2212yes—
38C2×#553C2212yes—
39C2×#550C2211yescharacteristic
40C2×#547C2211yescharacteristic
41C2×#547C2211yescharacteristic
42C2×#532C2212yes—
43C2×#529C2212yes—
44C2×#520C2212yes—
45C2×#520C2212yes—
46C2×C4×#41C2212yes—
47#2863C2212yes—
48#2862C2211yescharacteristic
49#2858C2211yescharacteristic
50#2858C2211yescharacteristic
51#2854C2212yes—
52#2852C2214yes—
53#2850C2212yes—
54#2850C2212yes—
55#2807C2214yes—
56#2795C2214yes—
57#2778C2214yes—
58#2777C2214yes—
59#2761C2214yes—
60#2760C2214yes—
61#2756C2214yes—
62#2751C2214yes—
63#2749C2214yes—
64#2747C2214yes—
65#2746C2214yes—
66#2737C2214yes—
67#2722C2214yes—
68#2718C2214yes—
69#2714C2214yes—
70#2706C2214yes—
71#2706C2214yes—
72#2703C2214yes—
73#2703C2214yes—
74#2703C2214yes—
75#2676C2214yes—
76#2631C2214yes—
77#2630C2214yes—
78#2620C2212yes—
79#2619C2212yes—
80#2610C2214yes—
81#2602C2214yes—
82#2601C2214yes—
83#2598C2214yes—
84#2598C2214yes—
85#2594C2214yes—
86#2594C2214yes—
87#2592C2212yes—
88#2592C2212yes—
89#2592C2212yes—
90#2589C2214yes—
91#2582C2212yes—
92#2580C2212yes—
93#2580C2212yes—
94#2579C2214yes—
95#2577C2214yes—
96#2576C2214yes—
97#2574C2212yes—
98#2574C2212yes—
99#2574C2214yes—
100#2570C2212yes—
101#2568C2211yescharacteristic
102#2567C2211yescharacteristic
103#2563C2211yescharacteristic
104#2557C2214yes—
105#2552C2211yescharacteristic
106#2547C2211yescharacteristic
107#2546C2211yescharacteristic
108#2545C2212yes—
109#2544C2212yes—
110#2542C2211yescharacteristic
111#2541C2212yes—
112#2541C2211yescharacteristic
113#2541C2211yescharacteristic
114#2538C2211yescharacteristic
115#2535C2212yes—
116#2532C2214yes—
117#2528C2214yes—
118#2524C2214yes—
119#2522C2214yes—
120#2518C2214yes—
121#2514C2212yes—
122#2514C2212yes—
123#2514C2212yes—
124#2513C2212yes—
125#2513C2212yes—
126#2512C2212yes—
127#2512C2212yes—
128#2510C2214yes—
129#2510C2214yes—
130#2508C2211yescharacteristic
131#2508C2211yescharacteristic
132#2504C2212yes—
133#2502C2212yes—
134#2502C2212yes—
135#2497C2212yes—
136#2497C2212yes—
137#2494C2212yes—
138#2492C2212yes—
139#2491C2212yes—
140#2479C2214yes—
141#2478C2214yes—
142#2474C2214yes—
143#2471C2214yes—
144#2471C2214yes—
145#2470C2214yes—
146#2467C2214yes—
147#2467C2214yes—
148#2464C2214yes—
149#2464C2214yes—
150#2464C2214yes—
151#2459C2214yes—
152#2459C2214yes—
153#2457C2214yes—
154#2457C2214yes—
155#2456C2214yes—
156#2456C2214yes—
157#2456C2214yes—
158#2456C2214yes—
159#2455C2214yes—
160#2454C2211yescharacteristic
161#2454C2211yescharacteristic
162#2453C2212yes—
163#2450C2214yes—
164#2448C2212yes—
165#2448C2212yes—
166#2448C2212yes—
167#2447C2212yes—
168#2447C2212yes—
169#2446C2212yes—
170#2445C2212yes—
171#2445C2212yes—
172#2443C2214yes—
173#2443C2214yes—
174#2441C2212yes—
175#2432C2212yes—
176#2431C2212yes—
177#2431C2212yes—
178#2431C2212yes—
179#2431C2212yes—
180#2431C2212yes—
181#2428C2212yes—
182#2428C2212yes—
183#2427C2212yes—
184#2427C2212yes—
185#2427C2212yes—
186#2426C2212yes—
187#2425C2214yes—
188#2423C2212yes—
189#2423C2212yes—
190#2422C2212yes—
191#2419C2214yes—
192#2417C2212yes—
193#2417C2212yes—
194#2416C2212yes—
195#2414C2212yes—
196#2413C2214yes—
197#2407C2212yes—
198#2407C2212yes—
199#2397C2214yes—
200#2396C2212yes—
201#2396C2212yes—
202#2392C2214yes—
203#2374C2212yes—
204#2374C2212yes—
205#2367C2212yes—
206#2367C2212yes—
207#2367C2212yes—
208#2367C2212yes—
209#2367C2211yescharacteristic
210#2367C2212yes—
211#2367C2211yescharacteristic
212#2366C2211yescharacteristic
213#2366C2212yes—
214#2366C2211yescharacteristic
215#2366C2212yes—
216#2366C2212yes—
217#2365C2211yescharacteristic
218#2365C2211yescharacteristic
219#2365C2212yes—
220#2365C2212yes—
221#2364C2214yes—
222#2362C2212yes—
223#2361C2212yes—
224#2361C2212yes—
225#2361C2212yes—
226#2361C2214yes—
227#2361C2212yes—
228#2361C2212yes—
229#2360C2212yes—
230#2360C2212yes—
231#2359C2214yes—
232#2359C2214yes—
233#2357C2212yes—
234#2357C2211yescharacteristic
235#2357C2211yescharacteristic
236#2357C2212yes—
237#2356C2212yes—
238#2355C2211yescharacteristic
239#2355C2211yescharacteristic
240#2354C2212yes—
241#2354C2211yescharacteristic
242#2354C2214yes—
243#2352C2214yes—
244#2352C2214yes—
245Q8×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2211yescharacteristic
247D4×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2212yes—
249D4×C4⋊C4C2214yes—
250#2347C2212yes—
251#2344C2212yes—
252#2344C2212yes—
253#2341C2212yes—
254#2339C2212yes—
255#2339C2212yes—
256#2325C2214yes—
257#2325C2214yes—
258#2324C2212yes—
259#2324C2214yes—
260#2323C2212yes—
261#2322C2214yes—
262#2311C2212yes—
263#2311C2212yes—
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×#127C2211yescharacteristic
268C4×#127C2212yes—
269C4×#127C2211yescharacteristic
270C4×#125C2211yescharacteristic
271C4×#125C2211yescharacteristic
272C4×#124C2211yescharacteristic
273C4×#124C2211yescharacteristic
274C4×#124C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2212yes—
278C4×#123C2214yes—
279C4×#123C2212yes—
280C4×#121C2212yes—
281C4×#121C2212yes—
282C4×#121C2212yes—
283C4×#121C2214yes—
284C4×#121C2214yes—
285#2295C2212yes—
286#2293C2211yescharacteristic
287#2293C2211yescharacteristic
288#2293C2212yes—
289C2×#389C2212yes—
290#2290C2214yes—
291#2285C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302#559—28no—
303#559—48no—
304#553—48no—
305#550—28no—
306#547—28no—
307#547—28no—
308#532—216no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2312yes—
318#529—48no—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357#520—48no—
358#520—48no—
359C4×#41—48no—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2314yes—
409C2×#117C2314yes—
410C2×#117C2314yes—
411C2×#117C2314yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2314yes—
416C22×C4⋊C4C2314yes—
417C22×C4⋊C4C2312yes—
418C22×C42C2312yes—
419C22×C42C2312yes—
420C22×C42C2314yes—
421C22×C42C2312yes—
422#401C2314yes—
423#401C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2314yes—
429#400C2312yes—
430#400C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2312yes—
435#399C2312yes—
436#399C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2312yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#396C2314yes—
460#396C2312yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#396C2314yes—
468#396C2312yes—
469#395C2312yes—
470#395C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#393C2312yes—
484#393C2312yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2314yes—
524#390C2312yes—
525#390C2314yes—
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2312yes—
548#390C2314yes—
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2314yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2312yes—
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#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2314yes—
685#385C2312yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#383C2314yes—
713#383C2314yes—
714#383C2314yes—
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2311yescharacteristic
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2311yescharacteristic
725#381C2312yes—
726#381C2314yes—
727#381C2314yes—
728#381C2312yes—
729#381C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814#376C2314yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2312yes—
820C43C2311yescharacteristic
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—28no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C4⋊Q8—28no—
868C4⋊Q8—24no—
869C4⋊Q8—24no—
870C4⋊Q8—42no—
871#127—28no—
872#127—28no—
873#127—24no—
874#127—24no—
875#127—44no—
876#126—48no—
877#126—48no—
878#125—24no—
879#125—24no—
880#124—24no—
881#124—28no—
882#124—28no—
883#124—48no—
884#124—44no—
885#124—44no—
886#124—44no—
887#124—44no—
888#124#4118yescomplemented
889#123—216no—
890#123—216no—
891#123—28no—
892#123—28no—
893#123—48no—
894#123—48no—
895#123—48no—
896#123—48no—
897C22⋊Q8—28no—
898C22⋊Q8—28no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902#121—28no—
903#121—28no—
904#121—28no—
905#121—28no—
906#121—216no—
907#121—216no—
908#121—216no—
909#121—48no—
910#121—48no—
911#121—44no—
912#121—44no—
913#121—44no—
914C4×Q8—24no—
915C4×Q8—28no—
916C4×Q8—24no—
917C4×Q8—28no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—42no—
921C4×Q8—44no—
922C4×Q8—42no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×D4—24no—
927C4×D4—28no—
928C4×D4—24no—
929C4×D4—24no—
930C4×D4—28no—
931C4×D4—24no—
932C4×D4—216no—
933C4×D4—216no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—48no—
939C4×D4—44no—
940C4×D4—48no—
941C4×D4—44no—
942C4×D4—42no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—48no—
948C4×D4—48no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—48no—
952C4×D4—48no—
953C4×D4—44no—
954C4×D4—48no—
955C4×D4—48no—
956C4×D4—48no—
957C4×D4—48no—
958C4×D4#4118yes—
959#117—28no—
960#117—44no—
961#117—44no—
962#117—48no—
963#117—48no—
964#117—48no—
965#117—48no—
966C2×C4⋊C4—28no—
967C2×C4⋊C4—28no—
968C2×C4⋊C4—28no—
969C2×C4⋊C4—48no—
970C2×C4⋊C4—48no—
971C2×C4⋊C4—44no—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C42—28no—
1095C2×C42—44no—
1096C2×C42—48no—
1097C2×C42—44no—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2412yes—
1153#95C2411yescharacteristic
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2411yescharacteristic
1179#95C2412yes—
1180#95C2412yes—
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202C24C2512yes—
1203C24C2514yes—
1204C24C2512yes—
1205C24C2512yes—
1206#41—432no—
1207#41—432no—
1208#41—432no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—22no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—22no—
1218C2×Q8—24no—
1219C2×Q8—41no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×Q8—42no—
1223C2×Q8C2×#4114yes—
1224C2×D4—28no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—28no—
1229C2×D4—28no—
1230C2×D4—28no—
1231C2×D4—28no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—28no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—28no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4C2×#4114yes—
1271C2×D4C2×#4114yes—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—28no—
1275C22×C4—28no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—28no—
1280C22×C4—28no—
1281C22×C4—28no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—28no—
1291C22×C4—24no—
1292C22×C4—28no—
1293C22×C4—24no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—42no—
1298C22×C4—44no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—44no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4C2×#4118yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2514yes—
1330C22×C4C2514yes—
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2514yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—28no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—28no—
1359C4⋊C4—28no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—28no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—28no—
1374C4⋊C4—24no—
1375C4⋊C4—28no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—41no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4C2×#4114yes—
1413C4⋊C4H(5,𝔽2)14yes—
1414C4⋊C4H(5,𝔽2)14yes—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—28no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—24no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4C2×#4118yes—
1471C22⋊C4C2×#4118yes—
1472C22⋊C4C2×#4118yes—
1473C42—24no—
1474C42—24no—
1475C42—24no—
1476C42—24no—
1477C42—22no—
1478C42—24no—
1479C42—22no—
1480C42—22no—
1481C42—24no—
1482C42—22no—
1483C42—28no—
1484C42—28no—
1485C42—22no—
1486C42—24no—
1487C42—22no—
1488C42—24no—
1489C42—28no—
1490C42—24no—
1491C42—22no—
1492C42—22no—
1493C42—24no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—42no—
1499C42—42no—
1500C42—42no—
1501C42—44no—
1502C42—42no—
1503C42—41no—
1504C42—41no—
1505C42—41no—
1506C42—42no—
1507C42—44no—
1508C42—44no—
1509C42—41no—
1510C42—41no—
1511C42C2×#4114yes—
1512C42C2×#4114yes—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—24no—
1528C23—24no—
1529C23—22no—
1530C23—24no—
1531C23—22no—
1532C23—24no—
1533C23—24no—
1534C23—24no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—24no—
1539C23C22×#4114yes—
1540C23C22×#4114yes—
1541C23C2611yescharacteristic
1542Q8—28no—
1543Q8—44no—
1544Q8—48no—
1545Q8—48no—
1546Q8—84no—
1547D4—28no—
1548D4—28no—
1549D4—416no—
1550D4—48no—
1551D4—416no—
1552D4—416no—
1553D4—416no—
1554D4—44no—
1555D4—48no—
1556D4—48no—
1557D4—84no—
1558D4—84no—
1559D4—88no—
1560D4—88no—
1561D4—88no—
1562D4—164no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—216no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—48no—
1644C2×C4—416no—
1645C2×C4—416no—
1646C2×C4—416no—
1647C2×C4—48no—
1648C2×C4—48no—
1649C2×C4—84no—
1650C2×C4—84no—
1651C2×C4—88no—
1652C2×C4—84no—
1653C2×C4—88no—
1654C2×C4—84no—
1655C2×C4—84no—
1656C2×C4—164no—
1657C2×C4—164no—
1658C2×C4C22×#4112yes—
1659C2×C4C22×#4112yes—
1660C2×C4C22×#4114yes—
1661C2×C4C22×#4112yes—
1662C2×C4C22×#4114yes—
1663C2×C4C22×#4112yes—
1664C2×C4C22×#4112yes—
1665C2×C4C22×#4112yes—
1666C2×C4C2×H(5,𝔽2)14yes—
1667C2×C4C2×H(5,𝔽2)14yes—
1668C2×C4C2×H(5,𝔽2)12yes—
1669C2×C4C2×H(5,𝔽2)12yes—
1670C2×C4#58512yes—
1671C2×C4#58512yes—
1672C22—24no—
1673C22—24no—
1674C22—24no—
1675C22—24no—
1676C22—24no—
1677C22—24no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—44no—
1688C22—44no—
1689C22—42no—
1690C22—44no—
1691C22—42no—
1692C22—42no—
1693C22—44no—
1694C22—42no—
1695C22—44no—
1696C22—42no—
1697C22—44no—
1698C22—44no—
1699C22—42no—
1700C22C23×#4111yescharacteristic
1701C22C23×#4111yescharacteristic
1702C22C22×H(5,𝔽2)11yescharacteristic
1703C22C22×H(5,𝔽2)11yescharacteristic
1704C22C2×#58511yescharacteristic
1705C22C2×#58511yescharacteristic
1706C222−1+611yescharacteristic
1707C4—22no—
1708C4—24no—
1709C4—22no—
1710C4—24no—
1711C4—22no—
1712C4—22no—
1713C4—24no—
1714C4—24no—
1715C4—42no—
1716C4—41no—
1717C4—41no—
1718C4—42no—
1719C4—41no—
1720C4—41no—
1721C4—42no—
1722C4—44no—
1723C4—41no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—44no—
1728C4—42no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—42no—
1733C4—42no—
1734C4—41no—
1735C4—44no—
1736C4#348114yes—
1737C4#350614yes—
1738C2—44no—
1739C2—44no—
1740C2—82no—
1741C2—84no—
1742C2C2×#348111yescharacteristic
1743C2C2×#350611yescharacteristic
1744C2#6281611yescharacteristic
1745C2#6292211yescharacteristic
1746C2#6298511yescharacteristic
1747C2#6299511yescharacteristic
1748C2#6301411yescharacteristic
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. #59680C2semidirect
2. #59642C2semidirect
3. #59552C2semidirect
4. #59544C2semidirect
5. #59434C2semidirect
6. #59404C2semidirect
7. #59145C2semidirect
8. #59062C2semidirect
9. #45368C2semidirect
10. #44962C2semidirect
11. #44283C2semidirect
12. #43443C2semidirect
13. #40162C2semidirect
14. #40145C2semidirect
15. #40140C2semidirect
16. #39730C2semidirect
17. #38956C2semidirect
18. #38951C2semidirect
19. #36609C2semidirect
20. #36469C2semidirect
21. #36442C2semidirect
22. #36313C2semidirect
23. #36292C2semidirect
24. #36255C2semidirect
25. #36125C2semidirect
26. #36115C2semidirect
27. #35844C2semidirect
28. #35778C2semidirect
29. #34941C2semidirect
30. #34727C2semidirect
31. #34313C2semidirect
32. #34308C2semidirect
33. #34206C2semidirect
34. C4×#559C2semidirect
35. C4×#547C2semidirect
888. #124#41semidirect

Maximal subgroups

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

subgroupindex
#596802
#596422
#595522
#595442
#594342
#594042
#591452
#590622
#453682
#449622
#442832
#434432
#401622
#401452
#401402
#397302
#389562
#389512
#366092
#364692
#364422
#363132
#362922
#362552
#361252
#361152
#358442
#357782
#349412
#347272
#343132
#343082
#342062
C4×#5592
C4×#5472