Finite Group Databasebeta

← #8094830

Subgroups — #8094830

Order 512.

5267 conjugacy classes of subgroups.

The subgroup lattice has 1848 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53071C212yesmaximal, complemented
2#53071C212yesmaximal, complemented
3#53057C212yesmaximal, complemented
4#53056C212yesmaximal, complemented
5#53025C212yesmaximal, complemented
6#53016C212yesmaximal, complemented
7#52975C212yesmaximal, complemented
8#52970C212yesmaximal, complemented
9#52412C214yesmaximal, complemented
10#52394C214yesmaximal, complemented
11#46030C214yesmaximal, complemented
12#45976C214yesmaximal, complemented
13#45711C212yesmaximal, complemented
14#45670C212yesmaximal, complemented
15#45650C212yesmaximal, complemented
16#45603C212yesmaximal, complemented
17#45602C212yesmaximal, complemented
18#45524C212yesmaximal, complemented
19#45486C212yesmaximal, complemented
20#45486C212yesmaximal, complemented
21#35574C211yesmaximal, characteristic, complemented
22#35541C211yesmaximal, characteristic, complemented
23#35531C211yesmaximal, characteristic, complemented
24#35529C211yesmaximal, characteristic, complemented
25#35518C211yesmaximal, characteristic, complemented
26#35514C211yesmaximal, characteristic, complemented
27#35279C211yesmaximal, characteristic, complemented
28#35256C211yesmaximal, characteristic, complemented
29#35253C211yesmaximal, characteristic, complemented
30#35252C211yesmaximal, characteristic, complemented
31#35181C211yesmaximal, characteristic, complemented
32#35158C211yesmaximal, characteristic, complemented
33#34810C211yesmaximal, characteristic, complemented
34C2×#2491C211yesmaximal, characteristic, complemented
35#34742C211yesmaximal, characteristic, complemented
36C2×#562C2214yescomplemented
37C2×#544C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C22×C4⋊Q8C2211yescharacteristic
42C22×#124C2212yes—
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C2×#518C2211yescharacteristic
48C2×C4×#41C2211yescharacteristic
49C22×#117C2211yescharacteristic
50#2857C2212yescomplemented
51#2857C2212yescomplemented
52#2857C2212yescomplemented
53#2856C2212yes—
54#2856C2212yescomplemented
55#2851C2214yes—
56#2851C2212yescomplemented
57#2850C2212yes—
58#2850C2214yes—
59#2850C2212yescomplemented
60#2841C2214yescomplemented
61#2837C2214yescomplemented
62#2832C2214yescomplemented
63#2832C2214yescomplemented
64#2831C2214yescomplemented
65#2831C2214yescomplemented
66#2830C2214yescomplemented
67#2829C2214yescomplemented
68#2829C2214yescomplemented
69#2827C2214yescomplemented
70#2826C2214yescomplemented
71#2824C2214yescomplemented
72#2824C2214yescomplemented
73#2820C2214yescomplemented
74#2819C2214yescomplemented
75#2816C2214yescomplemented
76#2816C2214yescomplemented
77#2814C2214yescomplemented
78#2813C2214yescomplemented
79#2813C2214yescomplemented
80#2800C2214yescomplemented
81#2798C2214yescomplemented
82#2788C2214yescomplemented
83#2781C2214yescomplemented
84#2781C2214yescomplemented
85#2779C2214yescomplemented
86#2772C2214yescomplemented
87#2768C2214yescomplemented
88#2751C2214yescomplemented
89#2750C2214yescomplemented
90#2743C2214yescomplemented
91#2741C2214yescomplemented
92#2740C2214yescomplemented
93#2730C2214yescomplemented
94#2730C2214yescomplemented
95#2710C2214yescomplemented
96#2710C2214yescomplemented
97#2710C2214yescomplemented
98#2708C2214yescomplemented
99#2701C2214yescomplemented
100#2700C2214yescomplemented
101#2700C2214yescomplemented
102#2696C2214yescomplemented
103#2696C2214yescomplemented
104#2694C2214yescomplemented
105#2694C2214yescomplemented
106#2692C2214yescomplemented
107#2692C2214yescomplemented
108#2687C2214yescomplemented
109#2686C2214yescomplemented
110#2686C2214yescomplemented
111#2681C2214yescomplemented
112#2681C2214yescomplemented
113#2676C2214yescomplemented
114#2676C2214yescomplemented
115#2672C2214yescomplemented
116#2672C2214yescomplemented
117#2672C2214yescomplemented
118#2671C2214yescomplemented
119#2671C2214yescomplemented
120#2646C2214yes—
121#2639C2214yes—
122#2629C2212yescomplemented
123#2628C2212yescomplemented
124#2628C2212yescomplemented
125#2628C2212yescomplemented
126#2620C2212yes—
127#2620C2212yescomplemented
128#2619C2212yes—
129#2619C2212yescomplemented
130#2579C2214yes—
131#2571C2212yescomplemented
132#2571C2212yescomplemented
133#2570C2212yescomplemented
134#2570C2212yescomplemented
135#2570C2212yescomplemented
136#2570C2212yescomplemented
137#2568C2212yescomplemented
138#2567C2212yescomplemented
139#2566C2212yescomplemented
140#2566C2212yescomplemented
141#2563C2212yescomplemented
142#2563C2212yescomplemented
143#2552C2212yescomplemented
144#2552C2212yescomplemented
145#2542C2212yescomplemented
146#2542C2212yescomplemented
147#2538C2212yescomplemented
148#2537C2212yes—
149#2537C2212yes—
150#2537C2212yescomplemented
151#2536C2212yescomplemented
152#2535C2212yes—
153#2535C2212yes—
154#2535C2212yescomplemented
155#2504C2212yescomplemented
156#2504C2211yescharacteristic, complemented
157#2503C2211yescharacteristic, complemented
158#2502C2211yescharacteristic, complemented
159#2501C2212yescomplemented
160#2501C2211yescharacteristic, complemented
161#2500C2212yescomplemented
162#2500C2211yescharacteristic, complemented
163#2500C2212yescomplemented
164#2500C2211yescharacteristic, complemented
165#2499C2211yescharacteristic, complemented
166#2499C2211yescharacteristic, complemented
167#2498C2212yes—
168#2498C2212yes—
169#2492C2212yescomplemented
170#2492C2212yescomplemented
171#2491C2212yes—
172#2491C2212yes—
173#2491C2212yes—
174#2491C2212yes—
175#2491C2212yes—
176#2491C2212yes—
177#2491C2212yes—
178#2491C2212yes—
179#2491C2212yescomplemented
180#2491C2212yescomplemented
181#2490C2212yescomplemented
182#2490C2212yescomplemented
183#2489C2212yescomplemented
184#2489C2212yescomplemented
185#2487C2214yes—
186#2454C2212yescomplemented
187#2454C2212yescomplemented
188#2452C2212yescomplemented
189#2452C2212yescomplemented
190#2452C2212yescomplemented
191#2452C2212yescomplemented
192#2451C2212yescomplemented
193#2451C2212yescomplemented
194#2448C2212yescomplemented
195#2448C2212yescomplemented
196#2447C2212yescomplemented
197#2447C2212yescomplemented
198#2445C2212yescomplemented
199#2445C2212yescomplemented
200#2445C2212yescomplemented
201#2445C2212yescomplemented
202#2442C2212yescomplemented
203#2441C2212yescomplemented
204#2440C2212yescomplemented
205#2440C2212yescomplemented
206#2440C2212yescomplemented
207#2439C2212yescomplemented
208#2439C2212yescomplemented
209#2439C2212yescomplemented
210#2438C2214yes—
211#2437C2214yes—
212#2437C2214yes—
213#2437C2214yes—
214#2428C2212yes—
215#2428C2212yes—
216#2428C2212yescomplemented
217#2428C2212yescomplemented
218#2427C2212yes—
219#2427C2212yes—
220#2426C2212yescomplemented
221#2426C2212yescomplemented
222#2425C2214yes—
223#2424C2214yes—
224#2424C2214yes—
225#2424C2214yes—
226#2423C2211yescharacteristic, complemented
227#2423C2211yescharacteristic, complemented
228#2422C2212yescomplemented
229#2422C2212yescomplemented
230#2422C2211yescharacteristic, complemented
231#2422C2211yescharacteristic, complemented
232#2421C2211yescharacteristic, complemented
233#2421C2211yescharacteristic, complemented
234#2420C2212yescomplemented
235#2420C2211yescharacteristic, complemented
236#2420C2211yescharacteristic, complemented
237#2420C2212yescomplemented
238#2419C2212yes—
239#2419C2212yes—
240#2418C2212yes—
241#2418C2214yes—
242#2418C2212yes—
243#2418C2214yes—
244#2417C2212yescomplemented
245#2416C2212yes—
246#2416C2212yes—
247#2416C2212yescomplemented
248#2415C2212yescomplemented
249#2414C2212yes—
250#2414C2212yes—
251#2414C2212yescomplemented
252#2412C2212yes—
253#2412C2214yes—
254#2412C2212yes—
255#2412C2214yes—
256#2412C2214yes—
257#2411C2214yes—
258#2410C2214yes—
259#2410C2214yes—
260#2409C2214yes—
261#2409C2214yes—
262#2395C2212yescomplemented
263#2395C2212yescomplemented
264#2395C2212yescomplemented
265#2395C2212yescomplemented
266C2×#394C2212yes—
267C2×#393C2212yes—
268#2379C2214yescomplemented
269#2378C2214yescomplemented
270#2377C2214yescomplemented
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2317C2211yescharacteristic
275#2317C2211yescharacteristic
276#2316C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2309C2211yescharacteristic
281C4×#123C2212yescomplemented
282C4×#123C2212yescomplemented
283C4×#123C2212yescomplemented
284C4×#123C2212yescomplemented
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2296C2211yescharacteristic
289C2×#390C2211yescharacteristic
290C2×#390C2211yescharacteristic
291C2×#388C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2312yes—
302C23×D4C2311yescharacteristic
303C23×D4C2312yes—
304C24×C4C2311yescharacteristic
305#562—416no—
306#544—44no—
307#537—44no—
308#535—44no—
309#535—44no—
310C2×C4⋊Q8—44no—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124—48no—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330#525—44no—
331#525—44no—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×#121—44no—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2311yescharacteristic
372C2×#121C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#120C2312yes—
380C2×#120C2312yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383#520—44no—
384#518—44no—
385C4×#41—44no—
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2312yes—
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×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×#117—44no—
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2311yescharacteristic
409C2×#117C2311yescharacteristic
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2311yescharacteristic
414C2×#117C2311yescharacteristic
415C2×#117C2312yes—
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2311yescharacteristic
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2311yescharacteristic
421C22×C4⋊C4C2311yescharacteristic
422C22×C4⋊C4C2312yes—
423C22×C22⋊C4C2311yescharacteristic
424C22×C22⋊C4C2312yes—
425C22×C22⋊C4C2312yes—
426C22×C22⋊C4C2311yescharacteristic
427C22×C22⋊C4C2312yes—
428C22×C22⋊C4C2312yes—
429C22×C22⋊C4C2312yes—
430C22×C22⋊C4C2314yes—
431C22×C22⋊C4C2312yes—
432C22×C22⋊C4C2312yes—
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2312yes—
436C22×C42C2312yes—
437C22×C42C2312yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2312yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2314yes—
451#399C2312yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2312yes—
456#399C2314yes—
457#399C2312yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2312yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2312yes—
471#398C2314yes—
472#398C2312yes—
473#398C2312yes—
474#398C2312yes—
475#397C2312yes—
476#397C2314yes—
477#397C2312yes—
478#397C2312yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2314yes—
485#397C2312yes—
486#397C2312yes—
487#397C2314yes—
488#397C2312yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2312yes—
495#397C2312yes—
496#397C2312yes—
497#397C2312yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#395C2314yes—
513#395C2314yes—
514#395C2314yes—
515#395C2314yes—
516#395C2314yes—
517#394C2312yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2312yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2312yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2312yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2312yes—
552#394C2312yes—
553#394C2312yes—
554#393C2314yes—
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2314yes—
578#391C2314yes—
579#391C2314yes—
580#391C2314yes—
581#391C2314yes—
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#391C2314yes—
585#391C2311yescharacteristic
586#391C2311yescharacteristic
587#391C2311yescharacteristic
588#391C2311yescharacteristic
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#390C2311yescharacteristic
603#390C2314yes—
604#390C2314yes—
605#390C2311yescharacteristic
606#390C2311yescharacteristic
607#390C2312yes—
608#390C2311yescharacteristic
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2311yescharacteristic
613#390C2311yescharacteristic
614#390C2312yes—
615#390C2312yes—
616#389C2314yes—
617#389C2314yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2314yes—
627#389C2314yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2314yes—
635#389C2314yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2314yes—
665#388C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
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#385C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#385C2312yes—
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2312yes—
735#384C2312yes—
736#384C2311yescharacteristic
737#384C2311yescharacteristic
738#384C2311yescharacteristic
739#384C2311yescharacteristic
740#384C2311yescharacteristic
741#382C2311yescharacteristic
742#382C2312yes—
743#382C2312yes—
744#382C2312yes—
745#382C2314yes—
746#382C2314yes—
747#382C2311yescharacteristic
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#382C2311yescharacteristic
751#382C2311yescharacteristic
752#382C2312yes—
753#382C2312yes—
754#381C2312yes—
755#381C2312yes—
756#381C2314yes—
757#381C2312yes—
758#381C2314yes—
759#381C2312yes—
760#381C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2314yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2312yes—
777#380C2311yescharacteristic
778#380C2314yes—
779#380C2311yescharacteristic
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2314yes—
788#380C2312yes—
789#380C2312yes—
790#379C2314yes—
791#379C2312yes—
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×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C2×#95C2312yes—
821C2×#95C2311yescharacteristic
822C2×#95C2312yes—
823C2×#95C2311yescharacteristic
824C25C2411yescharacteristic
825C25C2412yes—
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×Q8C2414yes—
838C22×Q8C2414yes—
839C22×Q8C2414yes—
840C22×D4—24no—
841C22×D4—24no—
842C22×D4—24no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—82no—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C23×C4—24no—
864C23×C4—24no—
865C23×C4—24no—
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2411yescharacteristic
888C4⋊Q8—44no—
889C4⋊Q8—44no—
890C4⋊Q8—44no—
891C4⋊Q8—44no—
892C4⋊Q8—44no—
893C4⋊Q8—44no—
894#127—44no—
895#127—44no—
896#125—44no—
897#125—44no—
898#125—48no—
899#124—216no—
900#124—48no—
901#124—48no—
902#124—44no—
903#124—44no—
904#124—48no—
905#124—48no—
906#123—28no—
907#123—28no—
908#123—44no—
909#123—48no—
910#123—48no—
911#123—44no—
912#123—44no—
913#123—44no—
914#123—84no—
915#123—84no—
916C22⋊Q8—48no—
917C22⋊Q8—48no—
918C22⋊Q8—48no—
919C22⋊Q8—48no—
920C22⋊Q8—48no—
921C22⋊Q8—42no—
922C22⋊Q8—42no—
923C22⋊Q8—42no—
924C22⋊Q8—42no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—48no—
928C22⋊Q8—84no—
929C22⋊Q8—84no—
930#121—48no—
931#121—48no—
932#121—48no—
933#121—48no—
934#121—44no—
935#121—44no—
936#121—44no—
937#121—44no—
938#121—42no—
939#121—42no—
940#121—42no—
941#121—42no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—48no—
949#121—48no—
950#121—84no—
951#121—84no—
952#120—44no—
953#120—44no—
954#120—48no—
955#120—48no—
956C4×Q8—42no—
957C4×Q8—42no—
958C4×Q8—44no—
959C4×D4—42no—
960C4×D4—42no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—48no—
973#117—24no—
974#117—24no—
975#117—24no—
976#117—24no—
977#117—24no—
978#117—24no—
979#117—44no—
980#117—44no—
981#117—44no—
982#117—42no—
983#117—42no—
984#117—44no—
985C2×C4⋊C4—24no—
986C2×C4⋊C4—24no—
987C2×C4⋊C4—24no—
988C2×C4⋊C4—42no—
989C2×C4⋊C4—42no—
990C2×C4⋊C4—44no—
991C2×C4⋊C4—44no—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C22⋊C4—24no—
1054C2×C22⋊C4—44no—
1055C2×C22⋊C4—42no—
1056C2×C22⋊C4—44no—
1057C2×C22⋊C4—44no—
1058C2×C22⋊C4—44no—
1059C2×C22⋊C4—48no—
1060C2×C22⋊C4—44no—
1061C2×C22⋊C4—44no—
1062C2×C22⋊C4—82no—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C42—24no—
1137C2×C42—24no—
1138C2×C42—44no—
1139C2×C42—44no—
1140C2×C42—44no—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2414yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2414yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2414yes—
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
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#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224C24—22no—
1225C24—22no—
1226C24—22no—
1227C24—22no—
1228C24—24no—
1229C24—24no—
1230C24—24no—
1231C24—41no—
1232C24—41no—
1233C24—41no—
1234C24—42no—
1235C24—42no—
1236C24—42no—
1237C24—42no—
1238C24C2511yescharacteristic
1239C24C2514yes—
1240C24C2512yes—
1241C24C2512yes—
1242C24C2511yescharacteristic
1243C24C2511yescharacteristic
1244#41—416no—
1245#41—416no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—28no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—44no—
1254C2×Q8—44no—
1255C2×Q8—44no—
1256C2×Q8—44no—
1257C2×Q8—44no—
1258C2×Q8—44no—
1259C2×Q8—44no—
1260C2×Q8—44no—
1261C2×Q8—816no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—28no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—22no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—416no—
1314C2×D4—816no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—24no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—42no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—42no—
1353C22×C4—41no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—41no—
1361C22×C4—42no—
1362C22×C4—41no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—416no—
1379C22×C4H(5,𝔽2)14yes—
1380C22×C4H(5,𝔽2)14yes—
1381C22×C42−1+414yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2514yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2514yes—
1401C22×C4C2512yes—
1402C22×C4C2514yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C22⋊C4—22no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—28no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—28no—
1484C22⋊C4—28no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—28no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—24no—
1492C22⋊C4—41no—
1493C22⋊C4—41no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
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—42no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4H(5,𝔽2)14yes—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—24no—
1550C42—24no—
1551C42—24no—
1552C42—28no—
1553C42—24no—
1554C42—24no—
1555C42—24no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—22no—
1560C42—42no—
1561C42—42no—
1562C42—42no—
1563C42—42no—
1564C42—44no—
1565C42—44no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—24no—
1578C23—22no—
1579C23—22no—
1580C23—21no—
1581C23—22no—
1582C23—22no—
1583C23—24no—
1584C23—24no—
1585C23—21no—
1586C23—22no—
1587C23—22no—
1588C23—21no—
1589C23—22no—
1590C23—22no—
1591C23—24no—
1592C23—21no—
1593C23—24no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—24no—
1599C23—21no—
1600C23—22no—
1601C23—22no—
1602C23—24no—
1603C23—21no—
1604C23—44no—
1605C23—44no—
1606C23—44no—
1607C23—44no—
1608C23—48no—
1609C23—82no—
1610C23—82no—
1611C23—82no—
1612C23—84no—
1613C23—84no—
1614C23—84no—
1615C23—84no—
1616C23—84no—
1617C23—84no—
1618C23C2×H(5,𝔽2)12yes—
1619C23C2×H(5,𝔽2)12yes—
1620C23C2×H(5,𝔽2)12yes—
1621C23C2×2−1+412yes—
1622C23C2611yescharacteristic
1623Q8—44no—
1624Q8—44no—
1625Q8—88no—
1626Q8—88no—
1627Q8—164no—
1628D4—48no—
1629D4—48no—
1630D4—48no—
1631D4—48no—
1632D4—44no—
1633D4—44no—
1634D4—84no—
1635D4—84no—
1636D4—88no—
1637D4—84no—
1638D4—84no—
1639D4—88no—
1640D4—164no—
1641D4—164no—
1642D4—164no—
1643D4—164no—
1644D4—164no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—21no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—24no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—48no—
1727C2×C4—44no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—48no—
1733C2×C4—48no—
1734C2×C4—84no—
1735C2×C4—84no—
1736C2×C4—84no—
1737C2×C4—84no—
1738C2×C4—82no—
1739C2×C4—84no—
1740C2×C4—84no—
1741C2×C4—164no—
1742C2×C4—164no—
1743C2×C4—164no—
1744C2×C4#562116yescomplemented
1745C2×C4C2×H(5,𝔽2)12yes—
1746C2×C4C2×H(5,𝔽2)12yes—
1747C2×C4C2×H(5,𝔽2)12yes—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4C2×H(5,𝔽2)12yes—
1751C2×C4C2×2−1+412yes—
1752C2×C4C2×2−1+412yes—
1753C2×C4#58512yes—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—44no—
1768C22—42no—
1769C22—42no—
1770C22—41no—
1771C22—44no—
1772C22—41no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—41no—
1778C22—44no—
1779C22—42no—
1780C22—42no—
1781C22—41no—
1782C22—44no—
1783C22—42no—
1784C22—42no—
1785C22—41no—
1786C22—44no—
1787C22—41no—
1788C22—42no—
1789C22—42no—
1790C22—44no—
1791C22—42no—
1792C22—41no—
1793C22—42no—
1794C22—44no—
1795C22—88no—
1796C22—168no—
1797C22C2×#56214yes—
1798C22C22×H(5,𝔽2)11yescharacteristic
1799C22C22×H(5,𝔽2)11yescharacteristic
1800C22C22×H(5,𝔽2)11yescharacteristic
1801C22C22×2−1+411yescharacteristic
1802C22C2×#58511yescharacteristic
1803C22H(7,𝔽2)11yescharacteristic
1804C222−1+611yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—42no—
1809C4—44no—
1810C4—42no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—44no—
1818C4—41no—
1819C4—44no—
1820C4—42no—
1821C4—42no—
1822C4—41no—
1823C4—41no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—42no—
1828C4—42no—
1829C4—41no—
1830C4—42no—
1831C4—42no—
1832C4C2×#56214yes—
1833C4C2×#56214yes—
1834C2—24no—
1835C2—42no—
1836C2—82no—
1837C2—82no—
1838C2—81no—
1839C2—84no—
1840C2C22×#56211yescharacteristic
1841C2#6283411yescharacteristic
1842C2#6287811yescharacteristic
1843C2#6291211yescharacteristic
1844C2#6291511yescharacteristic
1845C2#6292911yescharacteristic
1846C2#6295411yescharacteristic
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. #53071C2semidirect
2. #53071C2semidirect
3. #53057C2semidirect
4. #53056C2semidirect
5. #53025C2semidirect
6. #53016C2semidirect
7. #52975C2semidirect
8. #52970C2semidirect
9. #52412C2semidirect
10. #52394C2semidirect
11. #46030C2semidirect
12. #45976C2semidirect
13. #45711C2semidirect
14. #45670C2semidirect
15. #45650C2semidirect
16. #45603C2semidirect
17. #45602C2semidirect
18. #45524C2semidirect
19. #45486C2semidirect
20. #45486C2semidirect
21. #35574C2semidirect
22. #35541C2semidirect
23. #35531C2semidirect
24. #35529C2semidirect
25. #35518C2semidirect
26. #35514C2semidirect
27. #35279C2semidirect
28. #35256C2semidirect
29. #35253C2semidirect
30. #35252C2semidirect
31. #35181C2semidirect
32. #35158C2semidirect
33. #34810C2semidirect
34. C2×#2491C2semidirect
35. #34742C2semidirect
36. C2×#562C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
52. #2857C22semidirect
54. #2856C22semidirect
56. #2851C22semidirect
59. #2850C22semidirect
60. #2841C22semidirect
61. #2837C22semidirect
62. #2832C22semidirect
63. #2832C22semidirect
64. #2831C22semidirect
65. #2831C22semidirect
66. #2830C22semidirect
67. #2829C22semidirect
68. #2829C22semidirect
69. #2827C22semidirect
70. #2826C22semidirect
71. #2824C22semidirect
72. #2824C22semidirect
73. #2820C22semidirect
74. #2819C22semidirect
75. #2816C22semidirect
76. #2816C22semidirect
77. #2814C22semidirect
78. #2813C22semidirect
79. #2813C22semidirect
80. #2800C22semidirect
81. #2798C22semidirect
82. #2788C22semidirect
83. #2781C22semidirect
84. #2781C22semidirect
85. #2779C22semidirect
86. #2772C22semidirect
87. #2768C22semidirect
88. #2751C22semidirect
89. #2750C22semidirect
90. #2743C22semidirect
91. #2741C22semidirect
92. #2740C22semidirect
93. #2730C22semidirect
94. #2730C22semidirect
95. #2710C22semidirect
96. #2710C22semidirect
97. #2710C22semidirect
98. #2708C22semidirect
99. #2701C22semidirect
100. #2700C22semidirect
101. #2700C22semidirect
102. #2696C22semidirect
103. #2696C22semidirect
104. #2694C22semidirect
105. #2694C22semidirect
106. #2692C22semidirect
107. #2692C22semidirect
108. #2687C22semidirect
109. #2686C22semidirect
110. #2686C22semidirect
111. #2681C22semidirect
112. #2681C22semidirect
113. #2676C22semidirect
114. #2676C22semidirect
115. #2672C22semidirect
116. #2672C22semidirect
117. #2672C22semidirect
118. #2671C22semidirect
119. #2671C22semidirect
122. #2629C22semidirect
123. #2628C22semidirect
124. #2628C22semidirect
125. #2628C22semidirect
127. #2620C22semidirect
129. #2619C22semidirect
131. #2571C22semidirect
132. #2571C22semidirect
133. #2570C22semidirect
134. #2570C22semidirect
135. #2570C22semidirect
136. #2570C22semidirect
137. #2568C22semidirect
138. #2567C22semidirect
139. #2566C22semidirect
140. #2566C22semidirect
141. #2563C22semidirect
142. #2563C22semidirect
143. #2552C22semidirect
144. #2552C22semidirect
145. #2542C22semidirect
146. #2542C22semidirect
147. #2538C22semidirect
150. #2537C22semidirect
151. #2536C22semidirect
154. #2535C22semidirect
155. #2504C22semidirect
156. #2504C22semidirect
157. #2503C22semidirect
158. #2502C22semidirect
159. #2501C22semidirect
160. #2501C22semidirect
161. #2500C22semidirect
162. #2500C22semidirect
163. #2500C22semidirect
164. #2500C22semidirect
165. #2499C22semidirect
166. #2499C22semidirect
169. #2492C22semidirect
170. #2492C22semidirect
179. #2491C22semidirect
180. #2491C22semidirect
181. #2490C22semidirect
182. #2490C22semidirect
183. #2489C22semidirect
184. #2489C22semidirect
186. #2454C22semidirect
187. #2454C22semidirect
188. #2452C22semidirect
189. #2452C22semidirect
190. #2452C22semidirect
191. #2452C22semidirect
192. #2451C22semidirect
193. #2451C22semidirect
194. #2448C22semidirect
195. #2448C22semidirect
196. #2447C22semidirect
197. #2447C22semidirect
198. #2445C22semidirect
199. #2445C22semidirect
200. #2445C22semidirect
201. #2445C22semidirect
202. #2442C22semidirect
203. #2441C22semidirect
204. #2440C22semidirect
205. #2440C22semidirect
206. #2440C22semidirect
207. #2439C22semidirect
208. #2439C22semidirect
209. #2439C22semidirect
216. #2428C22semidirect
217. #2428C22semidirect
220. #2426C22semidirect
221. #2426C22semidirect
226. #2423C22semidirect
227. #2423C22semidirect
228. #2422C22semidirect
229. #2422C22semidirect
230. #2422C22semidirect
231. #2422C22semidirect
232. #2421C22semidirect
233. #2421C22semidirect
234. #2420C22semidirect
235. #2420C22semidirect
236. #2420C22semidirect
237. #2420C22semidirect
244. #2417C22semidirect
247. #2416C22semidirect
248. #2415C22semidirect
251. #2414C22semidirect
262. #2395C22semidirect
263. #2395C22semidirect
264. #2395C22semidirect
265. #2395C22semidirect
268. #2379C22semidirect
269. #2378C22semidirect
270. #2377C22semidirect
281. C4×#123C22semidirect
282. C4×#123C22semidirect
283. C4×#123C22semidirect
284. C4×#123C22semidirect
1744. C2×C4#562semidirect

Maximal subgroups

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

subgroupindex
#530712
#530572
#530562
#530252
#530162
#529752
#529702
#524122
#523942
#460302
#459762
#457112
#456702
#456502
#456032
#456022
#455242
#454862
#355742
#355412
#355312
#355292
#355182
#355142
#352792
#352562
#352532
#352522
#351812
#351582
#348102
C2×#24912
#347422