Finite Group Databasebeta

← #8095549

Subgroups — #8095549

Order 512.

4768 conjugacy classes of subgroups.

The subgroup lattice has 1799 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53149C212yesmaximal, complemented
2#53148C212yesmaximal, complemented
3#53070C212yesmaximal, complemented
4#53068C212yesmaximal, complemented
5#53054C212yesmaximal, complemented
6#53025C212yesmaximal, complemented
7#53024C212yesmaximal, complemented
8#53019C212yesmaximal, complemented
9#52722C214yesmaximal, complemented
10#52319C214yesmaximal, complemented
11#45710C212yesmaximal, complemented
12#45700C212yesmaximal, complemented
13#45664C212yesmaximal, complemented
14#45631C212yesmaximal, complemented
15#45626C212yesmaximal, complemented
16#45603C212yesmaximal, complemented
17#45589C214yesmaximal, complemented
18#45557C214yesmaximal, complemented
19#45525C212yesmaximal, complemented
20#45519C212yesmaximal, complemented
21#35644C211yesmaximal, characteristic, complemented
22#35633C211yesmaximal, characteristic, complemented
23#35627C211yesmaximal, characteristic, complemented
24#35620C211yesmaximal, characteristic, complemented
25#35542C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35311C211yesmaximal, characteristic, complemented
28#35306C211yesmaximal, characteristic, complemented
29#35253C211yesmaximal, characteristic, complemented
30#35253C211yesmaximal, characteristic, complemented
31#35182C211yesmaximal, characteristic, complemented
32#35154C211yesmaximal, characteristic, complemented
33C2×#2536C211yesmaximal, characteristic, complemented
34#34809C211yesmaximal, characteristic, complemented
35#34737C211yesmaximal, characteristic
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C22×C4×Q8C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×#117C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2857C2212yescomplemented
49#2857C2212yescomplemented
50#2857C2212yescomplemented
51#2855C2214yes—
52#2855C2212yescomplemented
53#2855C2212yescomplemented
54#2853C2214yes—
55#2851C2212yescomplemented
56#2851C2212yescomplemented
57#2850C2212yescomplemented
58#2845C2214yescomplemented
59#2841C2214yescomplemented
60#2839C2214yescomplemented
61#2839C2214yescomplemented
62#2839C2214yescomplemented
63#2837C2214yes—
64#2837C2214yescomplemented
65#2836C2214yescomplemented
66#2836C2214yescomplemented
67#2832C2214yes—
68#2832C2214yescomplemented
69#2831C2214yescomplemented
70#2831C2214yescomplemented
71#2831C2214yescomplemented
72#2829C2214yes—
73#2827C2214yes—
74#2826C2214yes—
75#2824C2214yes—
76#2816C2214yes—
77#2814C2214yes—
78#2808C2214yescomplemented
79#2806C2214yescomplemented
80#2802C2214yescomplemented
81#2800C2214yescomplemented
82#2798C2214yescomplemented
83#2798C2214yescomplemented
84#2788C2214yescomplemented
85#2786C2214yescomplemented
86#2783C2214yescomplemented
87#2781C2214yes—
88#2781C2214yescomplemented
89#2779C2214yescomplemented
90#2779C2214yescomplemented
91#2772C2214yescomplemented
92#2768C2214yescomplemented
93#2768C2214yescomplemented
94#2761C2214yescomplemented
95#2755C2214yescomplemented
96#2755C2214yescomplemented
97#2754C2214yescomplemented
98#2754C2214yescomplemented
99#2754C2214yescomplemented
100#2751C2214yescomplemented
101#2750C2214yes—
102#2747C2214yescomplemented
103#2747C2214yescomplemented
104#2747C2214yescomplemented
105#2744C2214yescomplemented
106#2744C2214yescomplemented
107#2743C2214yescomplemented
108#2741C2214yes—
109#2741C2214yescomplemented
110#2739C2214yescomplemented
111#2708C2214yes—
112#2706C2214yes—
113#2700C2214yescomplemented
114#2687C2214yes—
115#2687C2214yescomplemented
116#2686C2214yes—
117#2672C2214yes—
118#2629C2212yescomplemented
119#2629C2212yescomplemented
120#2628C2212yescomplemented
121#2628C2212yescomplemented
122#2627C2214yes—
123#2625C2212yescomplemented
124#2625C2212yescomplemented
125#2623C2214yes—
126#2621C2212yescomplemented
127#2620C2212yescomplemented
128#2571C2212yescomplemented
129#2571C2212yescomplemented
130#2570C2212yescomplemented
131#2570C2212yescomplemented
132#2568C2212yescomplemented
133#2566C2212yescomplemented
134#2565C2212yescomplemented
135#2563C2212yescomplemented
136#2563C2212yescomplemented
137#2562C2212yescomplemented
138#2562C2212yescomplemented
139#2561C2214yes—
140#2547C2212yescomplemented
141#2536C2212yes—
142#2536C2212yes—
143#2536C2212yes—
144#2536C2212yes—
145#2536C2212yes—
146#2536C2212yes—
147#2536C2212yes—
148#2536C2212yes—
149#2534C2214yes—
150#2509C2212yescomplemented
151#2509C2212yescomplemented
152#2508C2212yescomplemented
153#2508C2212yescomplemented
154#2505C2214yes—
155#2505C2214yes—
156#2503C2214yes—
157#2503C2212yescomplemented
158#2502C2212yescomplemented
159#2499C2212yescomplemented
160#2499C2212yescomplemented
161#2492C2212yescomplemented
162#2492C2212yescomplemented
163#2492C2212yescomplemented
164#2492C2212yescomplemented
165#2492C2212yescomplemented
166#2491C2212yescomplemented
167#2490C2212yescomplemented
168#2489C2212yescomplemented
169#2489C2212yescomplemented
170#2489C2212yescomplemented
171#2489C2212yescomplemented
172#2489C2212yescomplemented
173#2488C2214yes—
174#2487C2211yescharacteristic
175#2487C2211yescharacteristic
176#2487C2212yescomplemented
177#2486C2214yes—
178#2486C2211yescharacteristic
179#2486C2211yescharacteristic
180#2486C2212yescomplemented
181#2485C2211yescharacteristic
182#2485C2211yescharacteristic
183#2485C2211yescharacteristic
184#2485C2211yescharacteristic
185#2485C2212yescomplemented
186#2485C2212yescomplemented
187#2484C2214yes—
188#2484C2212yes—
189#2483C2212yes—
190#2483C2214yes—
191#2482C2212yes—
192#2472C2214yes—
193#2453C2212yescomplemented
194#2453C2212yescomplemented
195#2453C2212yescomplemented
196#2453C2212yescomplemented
197#2451C2212yescomplemented
198#2451C2212yescomplemented
199#2451C2212yescomplemented
200#2451C2212yescomplemented
201#2450C2214yes—
202#2450C2214yes—
203#2448C2212yescomplemented
204#2448C2212yescomplemented
205#2446C2212yescomplemented
206#2446C2212yescomplemented
207#2442C2212yescomplemented
208#2442C2212yescomplemented
209#2442C2212yescomplemented
210#2442C2212yescomplemented
211#2441C2212yescomplemented
212#2441C2212yescomplemented
213#2440C2212yescomplemented
214#2440C2212yescomplemented
215#2439C2212yescomplemented
216#2439C2212yescomplemented
217#2439C2212yescomplemented
218#2439C2212yescomplemented
219#2438C2214yes—
220#2438C2214yes—
221#2437C2214yes—
222#2437C2214yes—
223#2429C2212yescomplemented
224#2429C2212yescomplemented
225#2427C2212yescomplemented
226#2427C2212yescomplemented
227#2423C2212yescomplemented
228#2423C2212yescomplemented
229#2423C2212yescomplemented
230#2422C2212yescomplemented
231#2421C2212yescomplemented
232#2421C2212yescomplemented
233#2421C2212yescomplemented
234#2420C2212yescomplemented
235#2419C2214yes—
236#2418C2214yes—
237#2417C2211yescharacteristic
238#2417C2211yescharacteristic
239#2417C2212yescomplemented
240#2417C2212yescomplemented
241#2417C2212yescomplemented
242#2417C2212yescomplemented
243#2416C2211yescharacteristic
244#2416C2211yescharacteristic
245#2415C2211yescharacteristic
246#2415C2211yescharacteristic
247#2415C2212yescomplemented
248#2415C2212yescomplemented
249#2415C2212yescomplemented
250#2415C2212yescomplemented
251#2414C2211yescharacteristic
252#2414C2211yescharacteristic
253#2413C2212yes—
254#2413C2214yes—
255#2412C2214yes—
256#2412C2212yes—
257#2411C2212yes—
258#2410C2212yes—
259#2405C2212yes—
260#2395C2212yes—
261#2395C2212yes—
262#2392C2212yes—
263#2392C2212yes—
264C2×#398C2212yes—
265C2×#394C2212yes—
266#2379C2214yescomplemented
267#2378C2214yescomplemented
268#2378C2214yescomplemented
269#2376C2214yescomplemented
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2316C2211yescharacteristic
275#2316C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2310C2211yescharacteristic
279#2310C2211yescharacteristic
280#2310C2211yescharacteristic
281C4×#123C2212yes—
282C4×#123C2212yes—
283C4×#121C2212yes—
284C4×#121C2212yes—
285#2297C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289C2×#388C2212yes—
290C2×#388C2212yes—
291C2×#382C2211yescharacteristic
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297C2×#380C2211yescharacteristic
298#2274C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2311yescharacteristic
303C24×C4C2311yescharacteristic
304#544—44no—
305#544—44no—
306#536—44no—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124C2312yes—
317C2×#124C2314yes—
318#525—44no—
319#525—44no—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2312yes—
323C2×#123C2312yes—
324C2×#123C2312yes—
325C2×#123C2312yes—
326C2×C22⋊Q8—44no—
327C2×C22⋊Q8—44no—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×#121C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#120C2312yes—
353C2×#120C2312yes—
354#520—44no—
355C2×C4×Q8—44no—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×D4—44no—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2314yes—
376C2×#117—44no—
377C2×#117—44no—
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2312yes—
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2311yescharacteristic
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C22⋊C4C2312yes—
408C22×C22⋊C4C2312yes—
409C22×C22⋊C4C2312yes—
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2312yes—
412C22×C22⋊C4C2311yescharacteristic
413C22×C22⋊C4C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2312yes—
416C22×C42C2312yes—
417C22×C42C2312yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2312yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2312yes—
441#400C2314yes—
442#400C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2312yes—
449#399C2312yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2312yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2312yes—
472#398C2314yes—
473#398C2312yes—
474#398C2314yes—
475#398C2314yes—
476#398C2312yes—
477#398C2314yes—
478#398C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2312yes—
490#397C2312yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2312yes—
495#397C2312yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2312yes—
500#397C2312yes—
501#397C2312yes—
502#397C2312yes—
503#397C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2312yes—
511#396C2312yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2312yes—
516#396C2314yes—
517#396C2312yes—
518#395C2314yes—
519#395C2314yes—
520#395C2314yes—
521#395C2314yes—
522#394C2312yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2314yes—
534#394C2312yes—
535#394C2312yes—
536#394C2314yes—
537#394C2312yes—
538#394C2312yes—
539#394C2312yes—
540#394C2314yes—
541#394C2312yes—
542#394C2312yes—
543#394C2312yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2314yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#392C2312yes—
553#392C2312yes—
554#391C2311yescharacteristic
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2311yescharacteristic
570#391C2314yes—
571#391C2314yes—
572#391C2314yes—
573#391C2314yes—
574#391C2314yes—
575#391C2314yes—
576#391C2314yes—
577#391C2314yes—
578#391C2314yes—
579#390C2311yescharacteristic
580#390C2312yes—
581#390C2314yes—
582#390C2311yescharacteristic
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2312yes—
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2312yes—
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
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#387C2312yes—
687#387C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2314yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2312yes—
716#385C2312yes—
717#385C2314yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#385C2314yes—
723#385C2312yes—
724#384C2312yes—
725#384C2312yes—
726#384C2312yes—
727#384C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2314yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2314yes—
735#382C2314yes—
736#382C2312yes—
737#382C2314yes—
738#382C2314yes—
739#382C2312yes—
740#382C2312yes—
741#381C2314yes—
742#381C2314yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2312yes—
748#381C2312yes—
749#381C2312yes—
750#381C2312yes—
751#381C2312yes—
752#381C2312yes—
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2314yes—
766#380C2314yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2314yes—
774#380C2314yes—
775#380C2314yes—
776#380C2314yes—
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#380C2311yescharacteristic
792#380C2311yescharacteristic
793#379C2312yes—
794#379C2312yes—
795#379C2312yes—
796#379C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C25C2411yescharacteristic
823C25C2411yescharacteristic
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C22×Q8—24no—
828C22×Q8—24no—
829C22×Q8—24no—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2414yes—
834C22×Q8C2414yes—
835C22×D4—42no—
836C22×D4—42no—
837C22×D4—42no—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C23×C4—24no—
849C23×C4—24no—
850C23×C4—24no—
851C23×C4—24no—
852C23×C4—24no—
853C23×C4—24no—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2411yescharacteristic
877C4⋊Q8—44no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882#125—44no—
883#125—44no—
884#125—44no—
885#125—44no—
886#124—44no—
887#124—48no—
888#123—48no—
889#123—44no—
890#123—44no—
891#123—44no—
892#123—44no—
893#123—48no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—42no—
907C22⋊Q8—42no—
908C22⋊Q8—42no—
909C22⋊Q8—42no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912#121—44no—
913#121—42no—
914#121—42no—
915#121—42no—
916#121—42no—
917#121—44no—
918#120—44no—
919#120—44no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×D4—44no—
926C4×D4—42no—
927C4×D4—42no—
928C4×D4—42no—
929C4×D4—42no—
930C4×D4—42no—
931C4×D4—42no—
932C4×D4—42no—
933C4×D4—42no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—48no—
939#117—24no—
940#117—24no—
941#117—24no—
942#117—24no—
943#117—24no—
944#117—24no—
945#117—24no—
946#117—44no—
947#117—44no—
948#117—44no—
949#117—44no—
950#117—42no—
951#117—42no—
952#117—42no—
953#117—42no—
954#117—44no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—24no—
957C2×C4⋊C4—24no—
958C2×C4⋊C4—42no—
959C2×C4⋊C4—42no—
960C2×C4⋊C4—42no—
961C2×C4⋊C4—42no—
962C2×C4⋊C4—44no—
963C2×C4⋊C4—42no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C22⋊C4—44no—
1039C2×C22⋊C4—44no—
1040C2×C22⋊C4—44no—
1041C2×C22⋊C4—44no—
1042C2×C22⋊C4—42no—
1043C2×C22⋊C4—42no—
1044C2×C22⋊C4—44no—
1045C2×C22⋊C4—44no—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C42—24no—
1109C2×C42—44no—
1110C2×C42—44no—
1111C2×C42—44no—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
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#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
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#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
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—
1202C24—22no—
1203C24—22no—
1204C24—22no—
1205C24—22no—
1206C24—22no—
1207C24—22no—
1208C24—22no—
1209C24—22no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24—41no—
1214C24—41no—
1215C24—41no—
1216C24C2511yescharacteristic
1217C24C2511yescharacteristic
1218C24C2512yes—
1219C24C2511yescharacteristic
1220C24C2511yescharacteristic
1221C24C2511yescharacteristic
1222#41—416no—
1223C2×Q8—24no—
1224C2×Q8—22no—
1225C2×Q8—24no—
1226C2×Q8—24no—
1227C2×Q8—24no—
1228C2×Q8—22no—
1229C2×Q8—24no—
1230C2×Q8—24no—
1231C2×Q8—22no—
1232C2×Q8—44no—
1233C2×Q8—44no—
1234C2×Q8—44no—
1235C2×Q8—44no—
1236C2×Q8—44no—
1237C2×Q8—44no—
1238C2×Q8—416no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—416no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—416no—
1337C22×C4—416no—
1338C22×C4H(5,𝔽2)14yes—
1339C22×C4H(5,𝔽2)14yes—
1340C22×C42−1+414yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2514yes—
1354C22×C4C2512yes—
1355C22×C4C2514yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2514yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2512yes—
1366C22×C4C2514yes—
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—41no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—41no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—42no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—28no—
1449C22⋊C4—28no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
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—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—24no—
1508C42—24no—
1509C42—24no—
1510C42—24no—
1511C42—24no—
1512C42—24no—
1513C42—24no—
1514C42—42no—
1515C42—42no—
1516C42—42no—
1517C42—42no—
1518C42—44no—
1519C42—44no—
1520C42—44no—
1521C42—44no—
1522C42—44no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—22no—
1543C23—21no—
1544C23—22no—
1545C23—21no—
1546C23—21no—
1547C23—22no—
1548C23—22no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—22no—
1553C23—21no—
1554C23—21no—
1555C23—22no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—22no—
1560C23—44no—
1561C23—44no—
1562C23—44no—
1563C23—44no—
1564C23—44no—
1565C23—44no—
1566C23—44no—
1567C23—44no—
1568C23—82no—
1569C23—82no—
1570C23—82no—
1571C23—82no—
1572C23—82no—
1573C23—82no—
1574C23C2×H(5,𝔽2)12yes—
1575C23C2×H(5,𝔽2)12yes—
1576C23C2×2−1+412yes—
1577C23#58512yes—
1578C23#58512yes—
1579C23C2611yescharacteristic
1580Q8—48no—
1581Q8—48no—
1582Q8—44no—
1583Q8—164no—
1584Q8—164no—
1585D4—44no—
1586D4—44no—
1587D4—44no—
1588D4—44no—
1589D4—48no—
1590D4—44no—
1591D4—84no—
1592D4—84no—
1593D4—84no—
1594D4—84no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—24no—
1620C2×C4—24no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—44no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—48no—
1681C2×C4—44no—
1682C2×C4—44no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—44no—
1689C2×C4—48no—
1690C2×C4—84no—
1691C2×C4—84no—
1692C2×C4—84no—
1693C2×C4—84no—
1694C2×C4—84no—
1695C2×C4—84no—
1696C2×C4—84no—
1697C2×C4—164no—
1698C2×C4#562116yes—
1699C2×C4C2×H(5,𝔽2)12yes—
1700C2×C4C2×H(5,𝔽2)12yes—
1701C2×C4C2×H(5,𝔽2)12yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4C2×2−1+412yes—
1704C2×C4C2×2−1+412yes—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—42no—
1728C22—41no—
1729C22—42no—
1730C22—41no—
1731C22—42no—
1732C22—42no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—42no—
1740C22—42no—
1741C22—41no—
1742C22—42no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—88no—
1747C22—88no—
1748C22C2×#56214yes—
1749C22C22×H(5,𝔽2)11yescharacteristic
1750C22C22×H(5,𝔽2)11yescharacteristic
1751C22C22×2−1+411yescharacteristic
1752C22C2×#58511yescharacteristic
1753C22C2×#58511yescharacteristic
1754C222−1+611yescharacteristic
1755C222−1+611yescharacteristic
1756C4—41no—
1757C4—41no—
1758C4—42no—
1759C4—44no—
1760C4—42no—
1761C4—42no—
1762C4—41no—
1763C4—41no—
1764C4—42no—
1765C4—42no—
1766C4—42no—
1767C4—42no—
1768C4—42no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—42no—
1774C4—44no—
1775C4—42no—
1776C4—44no—
1777C4—42no—
1778C4—42no—
1779C4—44no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4C2×#56214yes—
1784C4C2×#56214yes—
1785C2—24no—
1786C2—42no—
1787C2—42no—
1788C2—82no—
1789C2—81no—
1790C2—81no—
1791C2C22×#56211yescharacteristic
1792C2#6282111yescharacteristic
1793C2#6288611yescharacteristic
1794C2#6292811yescharacteristic
1795C2#6292811yescharacteristic
1796C2#6295411yescharacteristic
1797C2#6295411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34737C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53149C2semidirect
2. #53148C2semidirect
3. #53070C2semidirect
4. #53068C2semidirect
5. #53054C2semidirect
6. #53025C2semidirect
7. #53024C2semidirect
8. #53019C2semidirect
9. #52722C2semidirect
10. #52319C2semidirect
11. #45710C2semidirect
12. #45700C2semidirect
13. #45664C2semidirect
14. #45631C2semidirect
15. #45626C2semidirect
16. #45603C2semidirect
17. #45589C2semidirect
18. #45557C2semidirect
19. #45525C2semidirect
20. #45519C2semidirect
21. #35644C2semidirect
22. #35633C2semidirect
23. #35627C2semidirect
24. #35620C2semidirect
25. #35542C2semidirect
26. #35516C2semidirect
27. #35311C2semidirect
28. #35306C2semidirect
29. #35253C2semidirect
30. #35253C2semidirect
31. #35182C2semidirect
32. #35154C2semidirect
33. C2×#2536C2semidirect
34. #34809C2semidirect
48. #2857C22semidirect
49. #2857C22semidirect
50. #2857C22semidirect
52. #2855C22semidirect
53. #2855C22semidirect
55. #2851C22semidirect
56. #2851C22semidirect
57. #2850C22semidirect
58. #2845C22semidirect
59. #2841C22semidirect
60. #2839C22semidirect
61. #2839C22semidirect
62. #2839C22semidirect
64. #2837C22semidirect
65. #2836C22semidirect
66. #2836C22semidirect
68. #2832C22semidirect
69. #2831C22semidirect
70. #2831C22semidirect
71. #2831C22semidirect
78. #2808C22semidirect
79. #2806C22semidirect
80. #2802C22semidirect
81. #2800C22semidirect
82. #2798C22semidirect
83. #2798C22semidirect
84. #2788C22semidirect
85. #2786C22semidirect
86. #2783C22semidirect
88. #2781C22semidirect
89. #2779C22semidirect
90. #2779C22semidirect
91. #2772C22semidirect
92. #2768C22semidirect
93. #2768C22semidirect
94. #2761C22semidirect
95. #2755C22semidirect
96. #2755C22semidirect
97. #2754C22semidirect
98. #2754C22semidirect
99. #2754C22semidirect
100. #2751C22semidirect
102. #2747C22semidirect
103. #2747C22semidirect
104. #2747C22semidirect
105. #2744C22semidirect
106. #2744C22semidirect
107. #2743C22semidirect
109. #2741C22semidirect
110. #2739C22semidirect
113. #2700C22semidirect
115. #2687C22semidirect
118. #2629C22semidirect
119. #2629C22semidirect
120. #2628C22semidirect
121. #2628C22semidirect
123. #2625C22semidirect
124. #2625C22semidirect
126. #2621C22semidirect
127. #2620C22semidirect
128. #2571C22semidirect
129. #2571C22semidirect
130. #2570C22semidirect
131. #2570C22semidirect
132. #2568C22semidirect
133. #2566C22semidirect
134. #2565C22semidirect
135. #2563C22semidirect
136. #2563C22semidirect
137. #2562C22semidirect
138. #2562C22semidirect
140. #2547C22semidirect
150. #2509C22semidirect
151. #2509C22semidirect
152. #2508C22semidirect
153. #2508C22semidirect
157. #2503C22semidirect
158. #2502C22semidirect
159. #2499C22semidirect
160. #2499C22semidirect
161. #2492C22semidirect
162. #2492C22semidirect
163. #2492C22semidirect
164. #2492C22semidirect
165. #2492C22semidirect
166. #2491C22semidirect
167. #2490C22semidirect
168. #2489C22semidirect
169. #2489C22semidirect
170. #2489C22semidirect
171. #2489C22semidirect
172. #2489C22semidirect
176. #2487C22semidirect
180. #2486C22semidirect
185. #2485C22semidirect
186. #2485C22semidirect
193. #2453C22semidirect
194. #2453C22semidirect
195. #2453C22semidirect
196. #2453C22semidirect
197. #2451C22semidirect
198. #2451C22semidirect
199. #2451C22semidirect
200. #2451C22semidirect
203. #2448C22semidirect
204. #2448C22semidirect
205. #2446C22semidirect
206. #2446C22semidirect
207. #2442C22semidirect
208. #2442C22semidirect
209. #2442C22semidirect
210. #2442C22semidirect
211. #2441C22semidirect
212. #2441C22semidirect
213. #2440C22semidirect
214. #2440C22semidirect
215. #2439C22semidirect
216. #2439C22semidirect
217. #2439C22semidirect
218. #2439C22semidirect
223. #2429C22semidirect
224. #2429C22semidirect
225. #2427C22semidirect
226. #2427C22semidirect
227. #2423C22semidirect
228. #2423C22semidirect
229. #2423C22semidirect
230. #2422C22semidirect
231. #2421C22semidirect
232. #2421C22semidirect
233. #2421C22semidirect
234. #2420C22semidirect
239. #2417C22semidirect
240. #2417C22semidirect
241. #2417C22semidirect
242. #2417C22semidirect
247. #2415C22semidirect
248. #2415C22semidirect
249. #2415C22semidirect
250. #2415C22semidirect
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
#531492
#531482
#530702
#530682
#530542
#530252
#530242
#530192
#527222
#523192
#457102
#457002
#456642
#456312
#456262
#456032
#455892
#455572
#455252
#455192
#356442
#356332
#356272
#356202
#355422
#355162
#353112
#353062
#352532
#351822
#351542
C2×#25362
#348092
#347372