Finite Group Databasebeta

← #8095630

Subgroups — #8095630

Order 512.

4878 conjugacy classes of subgroups.

The subgroup lattice has 1814 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53148C212yesmaximal, complemented
2#53135C212yesmaximal, complemented
3#53071C212yesmaximal, complemented
4#53070C212yesmaximal, complemented
5#53061C212yesmaximal, complemented
6#53057C212yesmaximal, complemented
7#53054C212yesmaximal, complemented
8#53050C212yesmaximal, complemented
9#52370C214yesmaximal, complemented
10#52317C214yesmaximal, complemented
11#45734C214yesmaximal, complemented
12#45711C212yesmaximal, complemented
13#45710C212yesmaximal, complemented
14#45670C212yesmaximal, complemented
15#45650C212yesmaximal, complemented
16#45631C212yesmaximal, complemented
17#45609C212yesmaximal, complemented
18#45586C214yesmaximal, complemented
19#45519C212yesmaximal, complemented
20#45514C212yesmaximal, complemented
21#35627C211yesmaximal, characteristic, complemented
22#35592C211yesmaximal, characteristic, complemented
23#35575C211yesmaximal, characteristic, complemented
24#35542C211yesmaximal, characteristic, complemented
25#35518C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#35328C211yesmaximal, characteristic, complemented
28#35279C211yesmaximal, characteristic, complemented
29#35257C211yesmaximal, characteristic, complemented
30#35255C211yesmaximal, characteristic, complemented
31#35157C211yesmaximal, characteristic, complemented
32#35150C211yesmaximal, characteristic, complemented
33#34743C211yesmaximal, characteristic, complemented
34#34742C211yesmaximal, characteristic, complemented
35C2×#2439C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2857C2212yescomplemented
49#2857C2212yescomplemented
50#2857C2212yescomplemented
51#2855C2212yescomplemented
52#2854C2214yes—
53#2854C2212yescomplemented
54#2853C2214yes—
55#2851C2212yescomplemented
56#2850C2212yescomplemented
57#2850C2212yescomplemented
58#2839C2214yescomplemented
59#2837C2214yes—
60#2837C2214yes—
61#2836C2214yes—
62#2832C2214yes—
63#2832C2214yes—
64#2832C2214yescomplemented
65#2831C2214yes—
66#2831C2214yes—
67#2831C2214yescomplemented
68#2830C2214yes—
69#2829C2214yes—
70#2829C2214yescomplemented
71#2826C2214yes—
72#2824C2214yes—
73#2824C2214yes—
74#2819C2214yes—
75#2816C2214yes—
76#2813C2214yes—
77#2813C2214yes—
78#2808C2214yes—
79#2806C2214yescomplemented
80#2802C2214yescomplemented
81#2800C2214yes—
82#2800C2214yes—
83#2798C2214yescomplemented
84#2798C2214yescomplemented
85#2798C2214yescomplemented
86#2788C2214yescomplemented
87#2783C2214yescomplemented
88#2781C2214yes—
89#2781C2214yescomplemented
90#2779C2214yes—
91#2779C2214yescomplemented
92#2772C2214yescomplemented
93#2755C2214yescomplemented
94#2754C2214yes—
95#2754C2214yescomplemented
96#2754C2214yescomplemented
97#2751C2214yes—
98#2751C2214yescomplemented
99#2747C2214yescomplemented
100#2743C2214yescomplemented
101#2741C2214yescomplemented
102#2740C2214yescomplemented
103#2730C2214yes—
104#2730C2214yescomplemented
105#2710C2214yes—
106#2710C2214yescomplemented
107#2706C2214yes—
108#2700C2214yes—
109#2700C2214yescomplemented
110#2696C2214yes—
111#2696C2214yescomplemented
112#2692C2214yescomplemented
113#2687C2214yescomplemented
114#2686C2214yes—
115#2681C2214yes—
116#2676C2214yes—
117#2672C2214yes—
118#2629C2212yescomplemented
119#2628C2212yescomplemented
120#2628C2212yescomplemented
121#2628C2212yescomplemented
122#2625C2212yescomplemented
123#2624C2212yescomplemented
124#2622C2214yes—
125#2621C2212yescomplemented
126#2619C2212yescomplemented
127#2617C2214yes—
128#2591C2214yes—
129#2571C2212yescomplemented
130#2571C2212yescomplemented
131#2570C2212yescomplemented
132#2570C2212yescomplemented
133#2568C2212yescomplemented
134#2567C2212yescomplemented
135#2564C2214yes—
136#2563C2212yes—
137#2563C2212yescomplemented
138#2562C2212yes—
139#2562C2212yes—
140#2547C2212yes—
141#2543C2214yes—
142#2543C2214yes—
143#2542C2212yescomplemented
144#2538C2212yes—
145#2537C2212yes—
146#2536C2212yes—
147#2536C2212yescomplemented
148#2536C2212yescomplemented
149#2535C2212yes—
150#2535C2212yescomplemented
151#2535C2212yescomplemented
152#2509C2212yescomplemented
153#2509C2212yescomplemented
154#2508C2212yescomplemented
155#2508C2212yescomplemented
156#2505C2214yes—
157#2505C2214yes—
158#2500C2212yes—
159#2500C2212yes—
160#2499C2212yes—
161#2499C2212yes—
162#2492C2212yes—
163#2492C2212yescomplemented
164#2492C2212yescomplemented
165#2492C2212yescomplemented
166#2492C2212yescomplemented
167#2491C2212yes—
168#2491C2212yescomplemented
169#2491C2212yescomplemented
170#2491C2212yescomplemented
171#2491C2212yescomplemented
172#2490C2212yes—
173#2489C2212yes—
174#2488C2214yes—
175#2487C2214yes—
176#2487C2212yescomplemented
177#2486C2212yescomplemented
178#2485C2212yes—
179#2485C2212yes—
180#2485C2212yes—
181#2485C2212yes—
182#2485C2212yescomplemented
183#2485C2212yescomplemented
184#2472C2214yes—
185#2454C2212yescomplemented
186#2454C2212yescomplemented
187#2453C2212yescomplemented
188#2453C2212yescomplemented
189#2452C2212yescomplemented
190#2452C2212yescomplemented
191#2451C2212yescomplemented
192#2451C2212yescomplemented
193#2450C2214yes—
194#2449C2214yes—
195#2448C2212yescomplemented
196#2447C2212yescomplemented
197#2446C2212yescomplemented
198#2445C2212yescomplemented
199#2444C2214yes—
200#2444C2214yes—
201#2443C2214yes—
202#2443C2214yes—
203#2442C2212yescomplemented
204#2441C2212yescomplemented
205#2440C2212yescomplemented
206#2439C2212yes—
207#2439C2212yes—
208#2439C2212yes—
209#2439C2212yes—
210#2439C2212yes—
211#2439C2212yes—
212#2439C2212yes—
213#2439C2212yes—
214#2439C2212yescomplemented
215#2436C2214yes—
216#2429C2211yescharacteristic
217#2429C2211yescharacteristic
218#2428C2211yescharacteristic
219#2428C2211yescharacteristic
220#2427C2211yescharacteristic
221#2427C2211yescharacteristic
222#2426C2211yescharacteristic
223#2426C2211yescharacteristic
224#2425C2212yes—
225#2425C2214yes—
226#2425C2212yes—
227#2424C2212yes—
228#2424C2214yes—
229#2424C2212yes—
230#2423C2211yescharacteristic
231#2423C2211yescharacteristic
232#2423C2212yescomplemented
233#2422C2211yescharacteristic
234#2422C2211yescharacteristic
235#2422C2212yescomplemented
236#2421C2211yescharacteristic
237#2421C2211yescharacteristic
238#2421C2212yescomplemented
239#2420C2211yescharacteristic
240#2420C2211yescharacteristic
241#2420C2212yescomplemented
242#2419C2212yes—
243#2419C2212yes—
244#2418C2212yes—
245#2418C2212yes—
246#2417C2214yes—
247#2417C2212yes—
248#2416C2212yes—
249#2415C2212yes—
250#2415C2212yes—
251#2415C2212yes—
252#2415C2212yes—
253#2415C2212yes—
254#2414C2212yes—
255#2414C2212yes—
256#2414C2212yes—
257#2414C2212yes—
258#2414C2212yes—
259#2409C2214yes—
260#2395C2212yes—
261#2395C2212yes—
262#2392C2212yes—
263#2392C2212yes—
264C2×#396C2212yes—
265C2×#393C2212yes—
266#2379C2214yescomplemented
267#2378C2214yescomplemented
268#2378C2214yescomplemented
269#2376C2214yescomplemented
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2316C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281C4×#123C2212yes—
282C4×#123C2212yes—
283C4×#121C2212yes—
284C4×#121C2212yes—
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289C2×#391C2212yes—
290C2×#389C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#387C2212yes—
293#2285C2211yescharacteristic
294C2×#382C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2312yes—
303C24×C4C2311yescharacteristic
304#544—44no—
305#537—44no—
306#537—44no—
307#532—44no—
308C2×C4⋊Q8—44no—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×#127C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2311yescharacteristic
321C2×#124C2314yes—
322C2×#124C2314yes—
323C2×#124C2314yes—
324#525—44no—
325#525—44no—
326#525—44no—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#120C2312yes—
367C2×#120C2312yes—
368C2×#120C2312yes—
369#520—44no—
370C4×#41—44no—
371C4×#41—44no—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×#117—44no—
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C22⋊C4C2312yes—
417C22×C22⋊C4C2311yescharacteristic
418C22×C22⋊C4C2311yescharacteristic
419C22×C22⋊C4C2312yes—
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2312yes—
423C22×C42C2312yes—
424C22×C42C2312yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2312yes—
441#400C2314yes—
442#400C2312yes—
443#399C2312yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2312yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2312yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2312yes—
463#398C2314yes—
464#398C2312yes—
465#398C2312yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2312yes—
488#397C2312yes—
489#397C2312yes—
490#397C2312yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2312yes—
496#396C2312yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2312yes—
503#396C2312yes—
504#396C2314yes—
505#395C2314yes—
506#395C2314yes—
507#395C2314yes—
508#395C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2312yes—
534#394C2314yes—
535#394C2312yes—
536#394C2312yes—
537#394C2312yes—
538#394C2314yes—
539#394C2312yes—
540#393C2314yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2314yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2314yes—
554#392C2312yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2312yes—
560#392C2314yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2314yes—
569#391C2314yes—
570#391C2314yes—
571#391C2314yes—
572#391C2314yes—
573#391C2314yes—
574#391C2311yescharacteristic
575#391C2311yescharacteristic
576#391C2314yes—
577#391C2314yes—
578#391C2314yes—
579#391C2311yescharacteristic
580#391C2311yescharacteristic
581#391C2314yes—
582#391C2314yes—
583#390C2314yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2314yes—
592#390C2314yes—
593#390C2314yes—
594#390C2311yescharacteristic
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2312yes—
598#390C2311yescharacteristic
599#390C2311yescharacteristic
600#389C2314yes—
601#389C2314yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2314yes—
609#389C2314yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2312yes—
621#389C2314yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2314yes—
626#389C2314yes—
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2312yes—
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#387C2314yes—
694#387C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2312yes—
729#385C2312yes—
730#385C2314yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#385C2312yes—
735#384C2312yes—
736#384C2312yes—
737#384C2312yes—
738#384C2311yescharacteristic
739#384C2311yescharacteristic
740#382C2314yes—
741#382C2312yes—
742#382C2312yes—
743#382C2314yes—
744#382C2312yes—
745#382C2312yes—
746#382C2312yes—
747#382C2314yes—
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#382C2312yes—
751#382C2312yes—
752#381C2314yes—
753#381C2312yes—
754#381C2314yes—
755#381C2312yes—
756#381C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2314yes—
767#380C2314yes—
768#380C2312yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2314yes—
781#380C2312yes—
782#380C2312yes—
783#380C2314yes—
784#380C2312yes—
785#380C2314yes—
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2312yes—
789#379C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2311yescharacteristic
820C2×#95C2311yescharacteristic
821C2×#95C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8—82no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×Q8C2414yes—
839C22×Q8C2414yes—
840C22×Q8C2414yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C23×C4—24no—
858C23×C4—24no—
859C23×C4—24no—
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C4⋊Q8—44no—
883C4⋊Q8—44no—
884C4⋊Q8—44no—
885C4⋊Q8—44no—
886C4⋊Q8—44no—
887C4⋊Q8—44no—
888C4⋊Q8—42no—
889#127—42no—
890#125—44no—
891#125—44no—
892#124—42no—
893#124—42no—
894#124—48no—
895#124—84no—
896#124—84no—
897#123—44no—
898#123—44no—
899#123—48no—
900#123—44no—
901#123—44no—
902#123—44no—
903#123—84no—
904C22⋊Q8—48no—
905C22⋊Q8—48no—
906C22⋊Q8—48no—
907C22⋊Q8—42no—
908C22⋊Q8—42no—
909C22⋊Q8—42no—
910C22⋊Q8—42no—
911C22⋊Q8—42no—
912C22⋊Q8—42no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—84no—
918C22⋊Q8—84no—
919#121—44no—
920#121—44no—
921#121—42no—
922#121—42no—
923#121—42no—
924#121—42no—
925#121—42no—
926#121—42no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—48no—
934#121—48no—
935#121—84no—
936#120—44no—
937#120—44no—
938#120—44no—
939C4×Q8—42no—
940C4×Q8—42no—
941C4×Q8—42no—
942C4×Q8—42no—
943C4×Q8—44no—
944C4×D4—42no—
945C4×D4—42no—
946C4×D4—42no—
947C4×D4—42no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—48no—
962#117—24no—
963#117—24no—
964#117—24no—
965#117—24no—
966#117—24no—
967#117—44no—
968#117—44no—
969#117—44no—
970#117—44no—
971#117—44no—
972#117—44no—
973#117—44no—
974C2×C4⋊C4—24no—
975C2×C4⋊C4—24no—
976C2×C4⋊C4—24no—
977C2×C4⋊C4—24no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4—82no—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C22⋊C4—42no—
1045C2×C22⋊C4—42no—
1046C2×C22⋊C4—44no—
1047C2×C22⋊C4—82no—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C42—24no—
1117C2×C42—24no—
1118C2×C42—44no—
1119C2×C42—44no—
1120C2×C42—44no—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209C24—22no—
1210C24—22no—
1211C24—22no—
1212C24—41no—
1213C24—41no—
1214C24—41no—
1215C24—41no—
1216C24C2511yescharacteristic
1217C24C2511yescharacteristic
1218C24C2512yes—
1219C24C2512yes—
1220C24C2512yes—
1221C24C2511yescharacteristic
1222#41—416no—
1223#41—416no—
1224#41—416no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—28no—
1235C2×Q8—44no—
1236C2×Q8—44no—
1237C2×Q8—44no—
1238C2×Q8—44no—
1239C2×Q8—44no—
1240C2×Q8—44no—
1241C2×Q8—44no—
1242C2×Q8—44no—
1243C2×Q8—816no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—42no—
1329C22×C4—41no—
1330C22×C4—42no—
1331C22×C4—41no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—41no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—41no—
1351C22×C4—42no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—416no—
1356C22×C4H(5,𝔽2)14yes—
1357C22×C4H(5,𝔽2)14yes—
1358C22×C42−1+414yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2514yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2514yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2514yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2514yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—28no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—24no—
1527C42—24no—
1528C42—24no—
1529C42—24no—
1530C42—24no—
1531C42—44no—
1532C42—44no—
1533C42—42no—
1534C42—42no—
1535C42—42no—
1536C42—42no—
1537C42—44no—
1538C42—44no—
1539C42—44no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—21no—
1555C23—21no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—21no—
1560C23—21no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—21no—
1566C23—21no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—21no—
1571C23—22no—
1572C23—21no—
1573C23—22no—
1574C23—22no—
1575C23—21no—
1576C23—22no—
1577C23—22no—
1578C23—21no—
1579C23—44no—
1580C23—44no—
1581C23—44no—
1582C23—82no—
1583C23—82no—
1584C23—82no—
1585C23—82no—
1586C23C2×H(5,𝔽2)12yes—
1587C23C2×H(5,𝔽2)12yes—
1588C23C2×2−1+412yes—
1589C23C2611yescharacteristic
1590Q8—44no—
1591Q8—44no—
1592Q8—44no—
1593Q8—88no—
1594Q8—88no—
1595Q8—164no—
1596D4—48no—
1597D4—48no—
1598D4—48no—
1599D4—44no—
1600D4—44no—
1601D4—44no—
1602D4—84no—
1603D4—84no—
1604D4—84no—
1605D4—84no—
1606D4—84no—
1607D4—84no—
1608D4—84no—
1609D4—84no—
1610D4—164no—
1611D4—164no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—24no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—24no—
1675C2×C4—21no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—44no—
1692C2×C4—44no—
1693C2×C4—48no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—44no—
1698C2×C4—44no—
1699C2×C4—48no—
1700C2×C4—48no—
1701C2×C4—48no—
1702C2×C4—84no—
1703C2×C4—84no—
1704C2×C4—82no—
1705C2×C4—84no—
1706C2×C4—84no—
1707C2×C4—82no—
1708C2×C4—84no—
1709C2×C4—84no—
1710C2×C4—84no—
1711C2×C4—164no—
1712C2×C4#562116yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4C2×H(5,𝔽2)12yes—
1717C2×C4C2×2−1+412yes—
1718C2×C4C2×2−1+412yes—
1719C2×C4#58512yes—
1720C2×C4#58512yes—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—41no—
1731C22—41no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—41no—
1736C22—41no—
1737C22—42no—
1738C22—41no—
1739C22—42no—
1740C22—42no—
1741C22—41no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—41no—
1754C22—42no—
1755C22—42no—
1756C22—41no—
1757C22—42no—
1758C22—42no—
1759C22—41no—
1760C22—41no—
1761C22—42no—
1762C22—88no—
1763C22C2×#56214yes—
1764C22C22×H(5,𝔽2)11yescharacteristic
1765C22C22×H(5,𝔽2)11yescharacteristic
1766C22C22×2−1+411yescharacteristic
1767C22C2×#58511yescharacteristic
1768C22C2×#58511yescharacteristic
1769C22H(7,𝔽2)11yescharacteristic
1770C222−1+611yescharacteristic
1771C4—22no—
1772C4—22no—
1773C4—42no—
1774C4—42no—
1775C4—44no—
1776C4—41no—
1777C4—42no—
1778C4—44no—
1779C4—41no—
1780C4—44no—
1781C4—41no—
1782C4—42no—
1783C4—42no—
1784C4—42no—
1785C4—41no—
1786C4—41no—
1787C4—42no—
1788C4—42no—
1789C4—42no—
1790C4—41no—
1791C4—42no—
1792C4—44no—
1793C4—42no—
1794C4—41no—
1795C4—41no—
1796C4—42no—
1797C4—42no—
1798C4C2×#56214yes—
1799C4C2×#56214yes—
1800C2—24no—
1801C2—82no—
1802C2—82no—
1803C2—82no—
1804C2—81no—
1805C2—81no—
1806C2C22×#56211yescharacteristic
1807C2#6283811yescharacteristic
1808C2#6287711yescharacteristic
1809C2#6292411yescharacteristic
1810C2#6293011yescharacteristic
1811C2#6295411yescharacteristic
1812C2#6296011yescharacteristic
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. #53148C2semidirect
2. #53135C2semidirect
3. #53071C2semidirect
4. #53070C2semidirect
5. #53061C2semidirect
6. #53057C2semidirect
7. #53054C2semidirect
8. #53050C2semidirect
9. #52370C2semidirect
10. #52317C2semidirect
11. #45734C2semidirect
12. #45711C2semidirect
13. #45710C2semidirect
14. #45670C2semidirect
15. #45650C2semidirect
16. #45631C2semidirect
17. #45609C2semidirect
18. #45586C2semidirect
19. #45519C2semidirect
20. #45514C2semidirect
21. #35627C2semidirect
22. #35592C2semidirect
23. #35575C2semidirect
24. #35542C2semidirect
25. #35518C2semidirect
26. #35517C2semidirect
27. #35328C2semidirect
28. #35279C2semidirect
29. #35257C2semidirect
30. #35255C2semidirect
31. #35157C2semidirect
32. #35150C2semidirect
33. #34743C2semidirect
34. #34742C2semidirect
35. C2×#2439C2semidirect
48. #2857C22semidirect
49. #2857C22semidirect
50. #2857C22semidirect
51. #2855C22semidirect
53. #2854C22semidirect
55. #2851C22semidirect
56. #2850C22semidirect
57. #2850C22semidirect
58. #2839C22semidirect
64. #2832C22semidirect
67. #2831C22semidirect
70. #2829C22semidirect
79. #2806C22semidirect
80. #2802C22semidirect
83. #2798C22semidirect
84. #2798C22semidirect
85. #2798C22semidirect
86. #2788C22semidirect
87. #2783C22semidirect
89. #2781C22semidirect
91. #2779C22semidirect
92. #2772C22semidirect
93. #2755C22semidirect
95. #2754C22semidirect
96. #2754C22semidirect
98. #2751C22semidirect
99. #2747C22semidirect
100. #2743C22semidirect
101. #2741C22semidirect
102. #2740C22semidirect
104. #2730C22semidirect
106. #2710C22semidirect
109. #2700C22semidirect
111. #2696C22semidirect
112. #2692C22semidirect
113. #2687C22semidirect
118. #2629C22semidirect
119. #2628C22semidirect
120. #2628C22semidirect
121. #2628C22semidirect
122. #2625C22semidirect
123. #2624C22semidirect
125. #2621C22semidirect
126. #2619C22semidirect
129. #2571C22semidirect
130. #2571C22semidirect
131. #2570C22semidirect
132. #2570C22semidirect
133. #2568C22semidirect
134. #2567C22semidirect
137. #2563C22semidirect
143. #2542C22semidirect
147. #2536C22semidirect
148. #2536C22semidirect
150. #2535C22semidirect
151. #2535C22semidirect
152. #2509C22semidirect
153. #2509C22semidirect
154. #2508C22semidirect
155. #2508C22semidirect
163. #2492C22semidirect
164. #2492C22semidirect
165. #2492C22semidirect
166. #2492C22semidirect
168. #2491C22semidirect
169. #2491C22semidirect
170. #2491C22semidirect
171. #2491C22semidirect
176. #2487C22semidirect
177. #2486C22semidirect
182. #2485C22semidirect
183. #2485C22semidirect
185. #2454C22semidirect
186. #2454C22semidirect
187. #2453C22semidirect
188. #2453C22semidirect
189. #2452C22semidirect
190. #2452C22semidirect
191. #2451C22semidirect
192. #2451C22semidirect
195. #2448C22semidirect
196. #2447C22semidirect
197. #2446C22semidirect
198. #2445C22semidirect
203. #2442C22semidirect
204. #2441C22semidirect
205. #2440C22semidirect
214. #2439C22semidirect
232. #2423C22semidirect
235. #2422C22semidirect
238. #2421C22semidirect
241. #2420C22semidirect
266. #2379C22semidirect
267. #2378C22semidirect
268. #2378C22semidirect
269. #2376C22semidirect

Maximal subgroups

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

subgroupindex
#531482
#531352
#530712
#530702
#530612
#530572
#530542
#530502
#523702
#523172
#457342
#457112
#457102
#456702
#456502
#456312
#456092
#455862
#455192
#455142
#356272
#355922
#355752
#355422
#355182
#355172
#353282
#352792
#352572
#352552
#351572
#351502
#347432
#347422
C2×#24392