Finite Group Databasebeta

← #7986706

Subgroups — #7986706

Order 512.

5187 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59823C211yesmaximal, characteristic, complemented
2#59680C211yesmaximal, characteristic, complemented
3#59446C212yesmaximal, complemented
4#59442C211yesmaximal, characteristic, complemented
5#59043C212yesmaximal, complemented
6#51166C214yesmaximal, complemented
7#50979C214yesmaximal, complemented
8#46107C214yesmaximal, complemented
9#45417C212yesmaximal, complemented
10#45136C212yesmaximal, complemented
11#45041C212yesmaximal, complemented
12#44947C212yesmaximal, complemented
13#42752C212yesmaximal, complemented
14#42704C212yesmaximal, complemented
15#42541C212yesmaximal, complemented
16#42524C212yesmaximal, complemented
17#40365C214yesmaximal, complemented
18#39803C212yesmaximal, complemented
19#39618C211yesmaximal, characteristic, complemented
20#39203C211yesmaximal, characteristic, complemented
21#39201C211yesmaximal, characteristic, complemented
22#39169C211yesmaximal, characteristic, complemented
23#38903C212yesmaximal, complemented
24#36609C211yesmaximal, characteristic, complemented
25#36518C212yesmaximal, complemented
26#36465C211yesmaximal, characteristic, complemented
27#36463C212yesmaximal, complemented
28#36115C211yesmaximal, characteristic, complemented
29#35234C212yesmaximal, complemented
30#35197C212yesmaximal, complemented
31#34934C211yesmaximal, characteristic, complemented
32#34920C211yesmaximal, characteristic, complemented
33#34494C211yesmaximal, characteristic, complemented
34#34487C211yesmaximal, characteristic, complemented
35C4×#554C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2212yes—
38C2×#553C2212yes—
39C2×#550C2211yescharacteristic
40C2×D4×Q8C2211yescharacteristic
41C2×#548C2212yes—
42C2×#548C2212yes—
43C2×#529C2212yes—
44C2×#529C2212yes—
45#2862C2211yescharacteristic
46#2858C2211yescharacteristic
47#2858C2211yescharacteristic
48#2858C2212yes—
49#2854C2214yes—
50#2854C2214yes—
51#2850C2212yes—
52#2850C2214yes—
53#2836C2214yes—
54#2829C2214yes—
55#2798C2214yes—
56#2786C2214yes—
57#2761C2214yes—
58#2754C2214yes—
59#2751C2214yes—
60#2748C2214yes—
61#2748C2214yes—
62#2740C2214yes—
63#2732C2214yes—
64#2715C2214yes—
65#2714C2214yes—
66#2712C2214yes—
67#2710C2214yes—
68#2707C2214yes—
69#2704C2214yes—
70#2703C2214yes—
71#2703C2214yes—
72#2701C2214yes—
73#2700C2214yes—
74#2698C2214yes—
75#2692C2214yes—
76#2692C2214yes—
77#2692C2214yes—
78#2692C2214yes—
79#2691C2214yes—
80#2690C2214yes—
81#2689C2214yes—
82#2688C2214yes—
83#2688C2214yes—
84#2686C2214yes—
85#2676C2214yes—
86#2676C2214yes—
87#2672C2214yes—
88#2664C2214yes—
89#2662C2214yes—
90#2660C2212yes—
91#2654C2214yes—
92#2648C2214yes—
93#2648C2214yes—
94#2641C2212yes—
95#2630C2214yes—
96#2625C2212yes—
97#2624C2212yes—
98#2601C2214yes—
99#2601C2214yes—
100#2592C2212yes—
101#2592C2212yes—
102#2590C2212yes—
103#2588C2212yes—
104#2584C2211yescharacteristic
105#2581C2211yescharacteristic
106#2580C2212yes—
107#2580C2212yes—
108#2571C2212yes—
109#2570C2212yes—
110#2570C2212yes—
111#2566C2212yes—
112#2566C2212yes—
113#2565C2211yescharacteristic
114#2564C2214yes—
115#2564C2214yes—
116#2563C2211yescharacteristic
117#2563C2211yescharacteristic
118#2563C2212yes—
119#2562C2212yes—
120#2560C2214yes—
121#2558C2214yes—
122#2557C2214yes—
123#2557C2214yes—
124#2554C2212yes—
125#2554C2212yes—
126#2552C2212yes—
127#2552C2211yescharacteristic
128#2550C2211yescharacteristic
129#2548C2211yescharacteristic
130#2548C2212yes—
131#2543C2214yes—
132#2543C2214yes—
133#2542C2211yescharacteristic
134#2542C2211yescharacteristic
135#2542C2212yes—
136#2541C2211yescharacteristic
137#2541C2212yes—
138#2541C2212yes—
139#2541C2211yescharacteristic
140#2541C2212yes—
141#2541C2211yescharacteristic
142#2540C2212yes—
143#2540C2214yes—
144#2540C2214yes—
145#2540C2212yes—
146#2538C2212yes—
147#2538C2212yes—
148#2538C2211yescharacteristic
149#2538C2212yes—
150#2535C2212yes—
151#2521C2214yes—
152#2520C2212yes—
153#2519C2214yes—
154#2513C2212yes—
155#2513C2212yes—
156#2513C2212yes—
157#2513C2212yes—
158#2513C2212yes—
159#2513C2212yes—
160#2512C2212yes—
161#2512C2212yes—
162#2512C2211yescharacteristic
163#2512C2211yescharacteristic
164#2508C2211yescharacteristic
165#2506C2211yescharacteristic
166#2491C2212yes—
167#2490C2214yes—
168#2490C2212yes—
169#2489C2212yes—
170#2486C2212yes—
171#2485C2212yes—
172#2474C2214yes—
173#2471C2214yes—
174#2468C2214yes—
175#2467C2214yes—
176#2464C2214yes—
177#2464C2214yes—
178#2462C2212yes—
179#2461C2214yes—
180#2460C2214yes—
181#2459C2214yes—
182#2459C2214yes—
183#2458C2214yes—
184#2457C2214yes—
185#2457C2214yes—
186#2456C2214yes—
187#2454C2214yes—
188#2453C2211yescharacteristic
189#2451C2211yescharacteristic
190#2450C2214yes—
191#2450C2214yes—
192#2448C2212yes—
193#2448C2212yes—
194#2447C2212yes—
195#2447C2212yes—
196#2445C2212yes—
197#2445C2212yes—
198#2445C2212yes—
199#2445C2212yes—
200#2445C2211yescharacteristic
201#2445C2211yescharacteristic
202#2427C2212yes—
203#2427C2214yes—
204#2426C2212yes—
205#2426C2212yes—
206#2422C2212yes—
207#2421C2212yes—
208#2420C2214yes—
209#2420C2214yes—
210#2419C2214yes—
211#2417C2212yes—
212#2417C2212yes—
213#2417C2212yes—
214#2417C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2416C2212yes—
218#2414C2212yes—
219#2409C2212yes—
220#2409C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2402C2212yes—
224#2399C2212yes—
225#2392C2212yes—
226#2392C2212yes—
227#2378C2214yes—
228#2377C2214yes—
229#2370C2212yes—
230#2369C2211yescharacteristic
231#2369C2212yes—
232#2368C2214yes—
233#2367C2212yes—
234#2367C2212yes—
235#2366C2211yescharacteristic
236#2366C2212yes—
237#2366C2212yes—
238#2366C2212yes—
239#2366C2212yes—
240#2365C2211yescharacteristic
241#2362C2212yes—
242#2361C2212yes—
243#2360C2212yes—
244#2359C2214yes—
245#2357C2212yes—
246#2357C2212yes—
247#2357C2212yes—
248#2355C2211yescharacteristic
249#2354C2212yes—
250#2354C2211yescharacteristic
251#2352C2212yes—
252#2349C2212yes—
253#2349C2212yes—
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2211yescharacteristic
256#2345C2212yes—
257Q8×C22⋊C4C2212yes—
258#2339C2212yes—
259#2332C2214yes—
260#2331C2212yes—
261#2328C2212yes—
262#2328C2212yes—
263#2328C2212yes—
264#2325C2214yes—
265#2324C2212yes—
266#2324C2212yes—
267#2323C2212yes—
268#2323C2212yes—
269#2319C2212yes—
270#2319C2212yes—
271#2311C2212yes—
272#2310C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#127C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#127C2212yes—
281C4×#125C2211yescharacteristic
282C4×#125C2211yescharacteristic
283C4×#125C2212yes—
284C4×#125C2212yes—
285C4×C22⋊Q8C2214yes—
286C4×C22⋊Q8C2212yes—
287C4×#121C2214yes—
288C4×#121C2212yes—
289#2295C2211yescharacteristic
290#2295C2212yes—
291#2295C2211yescharacteristic
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#554—28no—
302#554—48no—
303#553—48no—
304#550—28no—
305D4×Q8—28no—
306#548—48no—
307#548—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319#529—48no—
320#529—48no—
321C2×#126C2314yes—
322C2×#126C2312yes—
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#125C2311yescharacteristic
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#124C2312yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2312yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2314yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C42C2312yes—
417C22×C42C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#398C2312yes—
441#398C2312yes—
442#398C2312yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2312yes—
474#396C2312yes—
475#396C2312yes—
476#396C2314yes—
477#396C2314yes—
478#395C2312yes—
479#395C2312yes—
480#395C2312yes—
481#395C2312yes—
482#395C2314yes—
483#395C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#392C2314yes—
511#392C2312yes—
512#392C2312yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2314yes—
529#391C2312yes—
530#391C2314yes—
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2314yes—
534#391C2314yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2314yes—
539#391C2312yes—
540#390C2314yes—
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2314yes—
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2311yescharacteristic
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2311yescharacteristic
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2311yescharacteristic
581#390C2311yescharacteristic
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2312yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2314yes—
606#389C2311yescharacteristic
607#389C2314yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2314yes—
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2312yes—
618#389C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2314yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2314yes—
678#387C2312yes—
679#387C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2312yes—
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2312yes—
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2312yes—
735#382C2312yes—
736#382C2314yes—
737#381C2314yes—
738#381C2314yes—
739#381C2314yes—
740#381C2314yes—
741#381C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8—28no—
823C22×Q8—44no—
824C22×Q8—44no—
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2414yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2414yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C4⋊Q8—24no—
862C4⋊Q8—28no—
863C4⋊Q8—24no—
864C4⋊Q8—24no—
865#127—24no—
866#127—24no—
867#127—28no—
868#127—28no—
869#127—24no—
870#127—44no—
871#127—42no—
872#126—44no—
873#126—44no—
874#126—48no—
875#126—48no—
876#125—24no—
877#125—28no—
878#125—24no—
879#125—44no—
880#125—44no—
881#125—48no—
882#124—28no—
883#124—44no—
884#124—48no—
885#124—48no—
886#124—44no—
887#124—44no—
888#124—84no—
889#124—82no—
890#123—48no—
891#123—48no—
892#123—44no—
893#123—44no—
894#123—48no—
895#123—84no—
896C22⋊Q8—28no—
897C22⋊Q8—28no—
898C22⋊Q8—216no—
899C22⋊Q8—216no—
900C22⋊Q8—28no—
901C22⋊Q8—48no—
902C22⋊Q8—48no—
903C22⋊Q8—48no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—48no—
909#121—28no—
910#121—216no—
911#121—28no—
912#121—44no—
913#121—48no—
914#121—48no—
915#121—48no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—48no—
920#121—44no—
921#121—84no—
922#121—84no—
923C4×Q8—24no—
924C4×Q8—24no—
925C4×Q8—24no—
926C4×Q8—42no—
927C4×Q8—44no—
928C4×Q8—42no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×Q8—82no—
932C4×Q8#4118yes—
933C4×D4—24no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—28no—
937C4×D4—24no—
938C4×D4—28no—
939C4×D4—24no—
940C4×D4—28no—
941C4×D4—48no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—42no—
947C4×D4—44no—
948C4×D4—48no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—48no—
956C4×D4—48no—
957C4×D4—48no—
958C4×D4—84no—
959C4×D4—82no—
960#117—44no—
961#117—44no—
962#117—48no—
963#117—44no—
964C2×C4⋊C4—28no—
965C2×C4⋊C4—28no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C42—28no—
1097C2×C42—84no—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2414yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2411yescharacteristic
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2411yescharacteristic
1166#95C2412yes—
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196C24C2512yes—
1197C24C2514yes—
1198C24C2512yes—
1199C24C2512yes—
1200#41—816no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—28no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—41no—
1211C2×Q8—41no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—44no—
1215C2×Q8—44no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—816no—
1219C2×Q8C2×#4114yes—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—24no—
1225C2×D4—28no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—28no—
1233C2×D4—28no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—28no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D42−1+414yes—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—28no—
1286C22×C4—28no—
1287C22×C4—28no—
1288C22×C4—24no—
1289C22×C4—28no—
1290C22×C4—42no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—42no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—42no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2514yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2514yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C4⋊C4—28no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—28no—
1349C4⋊C4—24no—
1350C4⋊C4—28no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—28no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—41no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—41no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4C2×#4114yes—
1410C4⋊C4C2×#4118yes—
1411C4⋊C4H(5,𝔽2)14yes—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
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—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C42—24no—
1471C42—24no—
1472C42—24no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—24no—
1477C42—24no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—24no—
1484C42—22no—
1485C42—24no—
1486C42—22no—
1487C42—24no—
1488C42—22no—
1489C42—22no—
1490C42—42no—
1491C42—44no—
1492C42—44no—
1493C42—44no—
1494C42—44no—
1495C42—44no—
1496C42—44no—
1497C42—41no—
1498C42—41no—
1499C42—41no—
1500C42—41no—
1501C42—41no—
1502C42—42no—
1503C42C2×#4118yes—
1504C42C2×#4114yes—
1505C42H(5,𝔽2)14yes—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—24no—
1515C23—24no—
1516C23—22no—
1517C23—22no—
1518C23—24no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—24no—
1523C23—22no—
1524C23—22no—
1525C23—24no—
1526C23—22no—
1527C23—24no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—24no—
1532C23—22no—
1533C23C2×2−1+414yes—
1534C23C2611yescharacteristic
1535Q8—28no—
1536Q8—44no—
1537Q8—48no—
1538Q8—84no—
1539Q8—84no—
1540Q8—88no—
1541D4—28no—
1542D4—48no—
1543D4—48no—
1544D4—44no—
1545D4—48no—
1546D4—44no—
1547D4—88no—
1548D4—84no—
1549D4—84no—
1550D4—88no—
1551D4—88no—
1552D4—84no—
1553D4—88no—
1554D4—84no—
1555D4—84no—
1556D4—88no—
1557D4—88no—
1558D4—84no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—24no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—48no—
1640C2×C4—48no—
1641C2×C4—48no—
1642C2×C4—48no—
1643C2×C4—88no—
1644C2×C4—84no—
1645C2×C4—88no—
1646C2×C4—88no—
1647C2×C4—88no—
1648C2×C4—88no—
1649C2×C4—164no—
1650C2×C4—164no—
1651C2×C4C22×#4112yes—
1652C2×C4C22×#4114yes—
1653C2×C4C22×#4114yes—
1654C2×C4C22×#4112yes—
1655C2×C4C22×#4112yes—
1656C2×C4C2×H(5,𝔽2)12yes—
1657C2×C4C2×H(5,𝔽2)12yes—
1658C2×C4C2×H(5,𝔽2)14yes—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×2−1+412yes—
1662C2×C4#58512yes—
1663C2×C4#58512yes—
1664C22—24no—
1665C22—24no—
1666C22—24no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—44no—
1672C22—42no—
1673C22—42no—
1674C22—44no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—44no—
1679C22—42no—
1680C22—42no—
1681C22—44no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—44no—
1686C22—42no—
1687C22—44no—
1688C22—42no—
1689C22—44no—
1690C22—42no—
1691C22—42no—
1692C22C23×#4111yescharacteristic
1693C22C22×H(5,𝔽2)11yescharacteristic
1694C22C22×H(5,𝔽2)11yescharacteristic
1695C22C22×2−1+411yescharacteristic
1696C22C2×#58511yescharacteristic
1697C22C2×#58511yescharacteristic
1698C22H(7,𝔽2)11yescharacteristic
1699C4—24no—
1700C4—22no—
1701C4—22no—
1702C4—22no—
1703C4—24no—
1704C4—24no—
1705C4—22no—
1706C4—44no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—44no—
1719C4—44no—
1720C4—41no—
1721C4—42no—
1722C4—41no—
1723C4—41no—
1724C4—42no—
1725C4—41no—
1726C4—41no—
1727C4—42no—
1728C4#350814yes—
1729C4#351614yes—
1730C2—44no—
1731C2—84no—
1732C2—82no—
1733C2—82no—
1734C2#6275911yescharacteristic
1735C2C2×#351611yescharacteristic
1736C2C2×#350811yescharacteristic
1737C2#6292011yescharacteristic
1738C2#6294411yescharacteristic
1739C2#6301011yescharacteristic
1740C2#6301511yescharacteristic
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. #59823C2semidirect
2. #59680C2semidirect
3. #59446C2semidirect
4. #59442C2semidirect
5. #59043C2semidirect
6. #51166C2semidirect
7. #50979C2semidirect
8. #46107C2semidirect
9. #45417C2semidirect
10. #45136C2semidirect
11. #45041C2semidirect
12. #44947C2semidirect
13. #42752C2semidirect
14. #42704C2semidirect
15. #42541C2semidirect
16. #42524C2semidirect
17. #40365C2semidirect
18. #39803C2semidirect
19. #39618C2semidirect
20. #39203C2semidirect
21. #39201C2semidirect
22. #39169C2semidirect
23. #38903C2semidirect
24. #36609C2semidirect
25. #36518C2semidirect
26. #36465C2semidirect
27. #36463C2semidirect
28. #36115C2semidirect
29. #35234C2semidirect
30. #35197C2semidirect
31. #34934C2semidirect
32. #34920C2semidirect
33. #34494C2semidirect
34. #34487C2semidirect
35. C4×#554C2semidirect

Maximal subgroups

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

subgroupindex
#598232
#596802
#594462
#594422
#590432
#511662
#509792
#461072
#454172
#451362
#450412
#449472
#427522
#427042
#425412
#425242
#403652
#398032
#396182
#392032
#392012
#391692
#389032
#366092
#365182
#364652
#364632
#361152
#352342
#351972
#349342
#349202
#344942
#344872
C4×#5542