Finite Group Databasebeta

← #7647565

Subgroups — #7647565

Order 512.

5642 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42653C212yesmaximal, complemented
2#42462C212yesmaximal, complemented
3#42449C212yesmaximal, complemented
4#42448C212yesmaximal, complemented
5#40662C214yesmaximal, complemented
6#40661C214yesmaximal, complemented
7#39935C212yesmaximal, complemented
8#39932C212yesmaximal, complemented
9#39910C212yesmaximal, complemented
10#39909C212yesmaximal, complemented
11#38488C214yesmaximal, complemented
12#38487C214yesmaximal, complemented
13#37500C212yesmaximal, complemented
14#37498C212yesmaximal, complemented
15#37411C212yesmaximal, complemented
16#37398C212yesmaximal, complemented
17#37365C212yesmaximal, complemented
18#37331C212yesmaximal, complemented
19#35649C211yesmaximal, characteristic, complemented
20#35564C211yesmaximal, characteristic, complemented
21#35557C211yesmaximal, characteristic, complemented
22#35517C211yesmaximal, characteristic, complemented
23#35341C211yesmaximal, characteristic, complemented
24#35273C211yesmaximal, characteristic, complemented
25#35267C211yesmaximal, characteristic, complemented
26#35255C211yesmaximal, characteristic, complemented
27#35251C211yesmaximal, characteristic, complemented
28#35150C211yesmaximal, characteristic, complemented
29#35038C212yesmaximal, complemented
30#35036C212yesmaximal, complemented
31#34738C211yesmaximal, characteristic, complemented
32C2×#2441C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic, complemented
35#34044C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic, complemented
40C2×#532C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C22×#125C2211yescharacteristic, complemented
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C2×#520C2211yescharacteristic, complemented
46C2×C4×#41C2211yescharacteristic, complemented
47C22×#117C2211yescharacteristic
48C22×#117C2211yescharacteristic
49#2863C2212yescomplemented
50#2861C2212yescomplemented
51#2861C2212yescomplemented
52#2860C2212yescomplemented
53#2857C2212yescomplemented
54#2856C2212yescomplemented
55#2855C2212yescomplemented
56#2854C2214yescomplemented
57#2854C2212yescomplemented
58#2848C2212yes—
59#2847C2212yes—
60#2827C2214yescomplemented
61#2826C2214yescomplemented
62#2826C2214yescomplemented
63#2825C2214yescomplemented
64#2808C2214yescomplemented
65#2805C2214yescomplemented
66#2803C2214yescomplemented
67#2803C2214yescomplemented
68#2803C2214yescomplemented
69#2800C2214yescomplemented
70#2797C2214yescomplemented
71#2788C2214yescomplemented
72#2788C2214yescomplemented
73#2775C2214yescomplemented
74#2774C2214yescomplemented
75#2771C2214yes—
76#2765C2214yes—
77#2761C2214yes—
78#2752C2214yes—
79#2751C2214yescomplemented
80#2750C2214yes—
81#2749C2214yes—
82#2745C2214yescomplemented
83#2743C2214yes—
84#2743C2214yes—
85#2735C2214yes—
86#2735C2214yes—
87#2727C2214yescomplemented
88#2714C2214yescomplemented
89#2697C2214yes—
90#2685C2214yes—
91#2685C2214yes—
92#2685C2214yes—
93#2682C2214yescomplemented
94#2678C2214yes—
95#2668C2214yes—
96#2652C2214yescomplemented
97#2649C2214yescomplemented
98#2649C2214yescomplemented
99#2649C2214yescomplemented
100#2649C2214yescomplemented
101#2648C2214yescomplemented
102#2648C2214yescomplemented
103#2648C2214yescomplemented
104#2645C2212yescomplemented
105#2644C2212yescomplemented
106#2642C2212yescomplemented
107#2641C2212yescomplemented
108#2636C2214yescomplemented
109#2635C2214yescomplemented
110#2635C2214yescomplemented
111#2630C2214yescomplemented
112#2625C2212yescomplemented
113#2624C2212yescomplemented
114#2620C2212yescomplemented
115#2620C2212yescomplemented
116#2617C2214yes—
117#2616C2212yes—
118#2615C2212yes—
119#2597C2214yescomplemented
120#2595C2214yescomplemented
121#2591C2214yescomplemented
122#2591C2214yescomplemented
123#2591C2214yescomplemented
124#2587C2214yescomplemented
125#2587C2214yescomplemented
126#2578C2214yescomplemented
127#2576C2214yescomplemented
128#2562C2212yescomplemented
129#2562C2212yescomplemented
130#2562C2212yescomplemented
131#2562C2212yescomplemented
132#2559C2214yescomplemented
133#2559C2214yescomplemented
134#2543C2214yescomplemented
135#2538C2212yescomplemented
136#2538C2212yescomplemented
137#2537C2212yescomplemented
138#2537C2212yescomplemented
139#2518C2214yescomplemented
140#2512C2212yescomplemented
141#2512C2212yescomplemented
142#2511C2212yescomplemented
143#2511C2212yescomplemented
144#2510C2214yescomplemented
145#2504C2214yescomplemented
146#2497C2212yescomplemented
147#2497C2212yescomplemented
148#2497C2212yescomplemented
149#2496C2212yescomplemented
150#2496C2212yescomplemented
151#2496C2212yescomplemented
152#2495C2212yescomplemented
153#2494C2212yescomplemented
154#2490C2212yescomplemented
155#2490C2212yescomplemented
156#2490C2212yescomplemented
157#2490C2212yescomplemented
158#2489C2212yescomplemented
159#2489C2212yescomplemented
160#2489C2212yescomplemented
161#2489C2212yescomplemented
162#2487C2212yescomplemented
163#2486C2212yescomplemented
164#2485C2212yescomplemented
165#2485C2212yescomplemented
166#2481C2214yescomplemented
167#2481C2214yescomplemented
168#2481C2214yescomplemented
169#2467C2214yescomplemented
170#2467C2214yescomplemented
171#2456C2214yescomplemented
172#2448C2212yescomplemented
173#2447C2212yescomplemented
174#2446C2212yescomplemented
175#2445C2212yescomplemented
176#2444C2214yescomplemented
177#2444C2214yescomplemented
178#2443C2214yescomplemented
179#2443C2214yescomplemented
180#2441C2212yes—
181#2441C2212yes—
182#2441C2212yes—
183#2441C2212yes—
184#2441C2212yescomplemented
185#2441C2212yescomplemented
186#2441C2212yescomplemented
187#2441C2212yescomplemented
188#2436C2211yescharacteristic
189#2435C2211yescharacteristic
190#2434C2211yescharacteristic
191#2433C2211yescharacteristic
192#2432C2211yescharacteristic
193#2432C2211yescharacteristic
194#2431C2211yescharacteristic
195#2431C2211yescharacteristic
196#2430C2212yes—
197#2430C2214yes—
198#2430C2212yes—
199#2429C2212yescomplemented
200#2428C2212yescomplemented
201#2427C2212yescomplemented
202#2426C2212yescomplemented
203#2423C2212yescomplemented
204#2422C2212yescomplemented
205#2421C2212yescomplemented
206#2420C2212yescomplemented
207#2417C2212yescomplemented
208#2416C2214yescomplemented
209#2416C2214yescomplemented
210#2416C2214yescomplemented
211#2416C2212yescomplemented
212#2415C2212yes—
213#2415C2212yes—
214#2415C2212yescomplemented
215#2415C2212yescomplemented
216#2415C2212yescomplemented
217#2414C2212yes—
218#2414C2212yes—
219#2414C2212yescomplemented
220#2414C2212yescomplemented
221#2414C2212yescomplemented
222#2410C2212yes—
223#2410C2212yes—
224#2410C2214yes—
225#2409C2212yes—
226#2408C2212yes—
227#2407C2212yes—
228#2407C2212yes—
229C2×#399C2212yes—
230C2×#396C2212yes—
231#2388C2212yes—
232#2388C2212yes—
233#2363C2211yescharacteristic
234#2363C2211yescharacteristic
235#2362C2211yescharacteristic
236#2362C2211yescharacteristic
237#2361C2211yescharacteristic, complemented
238#2361C2211yescharacteristic, complemented
239#2360C2211yescharacteristic, complemented
240#2360C2211yescharacteristic, complemented
241#2359C2212yescomplemented
242#2359C2214yescomplemented
243#2359C2212yescomplemented
244#2358C2212yes—
245#2358C2212yes—
246#2358C2214yes—
247#2354C2212yes—
248#2352C2212yes—
249#2352C2212yescomplemented
250D4×C4⋊C4C2212yescomplemented
251#2335C2214yescomplemented
252#2335C2214yescomplemented
253#2334C2214yescomplemented
254#2333C2214yescomplemented
255#2324C2212yes—
256#2323C2212yes—
257#2317C2211yescharacteristic, complemented
258#2316C2211yescharacteristic, complemented
259#2311C2211yescharacteristic
260#2311C2211yescharacteristic
261#2311C2211yescharacteristic
262#2311C2212yes—
263#2311C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2212yes—
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic, complemented
268#2311C2211yescharacteristic, complemented
269#2311C2211yescharacteristic, complemented
270#2310C2212yes—
271#2309C2212yes—
272#2308C2214yes—
273C4×C22⋊Q8C2212yescomplemented
274C4×#121C2212yescomplemented
275C4×#120C2212yes—
276C4×#120C2212yes—
277#2297C2211yescharacteristic
278#2297C2214yes—
279#2297C2212yes—
280#2297C2212yes—
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic, complemented
283#2296C2211yescharacteristic, complemented
284#2293C2212yes—
285C2×#389C2212yescomplemented
286C2×#389C2211yescharacteristic, complemented
287C2×#389C2211yescharacteristic, complemented
288#2290C2212yes—
289#2290C2212yescomplemented
290C2×#387C2212yescomplemented
291C2×#384C2211yescharacteristic, complemented
292#2280C2212yes—
293#2280C2212yes—
294C2×#380C2211yescharacteristic
295#2274C2211yescharacteristic, complemented
296C42×D4C2212yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—28no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C22×#41C2312yes—
310C23×Q8C2311yescharacteristic
311C23×D4C2312yes—
312C23×D4C2311yescharacteristic
313C24×C4C2311yescharacteristic
314C24×C4C2312yes—
315#537—44no—
316#537—44no—
317#537—44no—
318#532—44no—
319#532—44no—
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#125—44no—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#124C2311yescharacteristic
333C2×#124C2311yescharacteristic
334C2×#124C2311yescharacteristic
335C2×#124C2311yescharacteristic
336#525—28no—
337#525—28no—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#120C2312yes—
373C2×#120C2312yes—
374C2×#120C2312yes—
375C2×#120C2312yes—
376C2×#120C2314yes—
377#520—44no—
378C4×#41—44no—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
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×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×#117—44no—
400C2×#117—44no—
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C2×#117C2312yes—
410C2×#117C2311yescharacteristic
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2311yescharacteristic
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2311yescharacteristic
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C22⋊C4C2312yes—
429C22×C22⋊C4C2312yes—
430C22×C22⋊C4C2311yescharacteristic
431C22×C22⋊C4C2311yescharacteristic
432C22×C22⋊C4C2312yes—
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2312yes—
436C22×C42C2312yes—
437C22×C42C2312yes—
438#401C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#395C2314yes—
495#395C2312yes—
496#395C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2314yes—
523#394C2312yes—
524#394C2312yes—
525#394C2312yes—
526#394C2314yes—
527#393C2314yes—
528#393C2312yes—
529#393C2312yes—
530#392C2312yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2312yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2312yes—
539#392C2312yes—
540#392C2312yes—
541#392C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2314yes—
547#391C2314yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2311yescharacteristic
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#391C2311yescharacteristic
557#391C2311yescharacteristic
558#391C2311yescharacteristic
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2312yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2311yescharacteristic
578#390C2314yes—
579#390C2311yescharacteristic
580#390C2312yes—
581#390C2312yes—
582#390C2311yescharacteristic
583#390C2311yescharacteristic
584#390C2311yescharacteristic
585#390C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2314yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2314yes—
615#389C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2314yes—
691#386C2312yes—
692#386C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2314yes—
705#386C2312yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#385C2312yes—
715#385C2314yes—
716#385C2312yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2314yes—
721#385C2312yes—
722#385C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2314yes—
727#385C2312yes—
728#385C2312yes—
729#385C2312yes—
730#385C2312yes—
731#385C2314yes—
732#385C2312yes—
733#385C2312yes—
734#384C2312yes—
735#384C2312yes—
736#384C2312yes—
737#384C2312yes—
738#384C2312yes—
739#383C2314yes—
740#382C2312yes—
741#382C2314yes—
742#382C2314yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2312yes—
768#380C2314yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#379C2314yes—
774#379C2314yes—
775#379C2314yes—
776#379C2312yes—
777#379C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊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⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818#376C2312yes—
819C2×#95C2311yescharacteristic
820C2×#95C2311yescharacteristic
821C2×#95C2312yes—
822C2×#95C2312yes—
823C2×#95C2312yes—
824C43C2312yes—
825C25C2411yescharacteristic
826C25C2412yes—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—28no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—28no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—24no—
842C2×#41—24no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41—44no—
847C2×#41—42no—
848C2×#41—42no—
849C2×#41—42no—
850C2×#41—42no—
851C2×#41—464no—
852C22×Q8—24no—
853C22×Q8—42no—
854C22×Q8—42no—
855C22×Q8C2411yescharacteristic
856C22×Q8C2411yescharacteristic
857C22×Q8C2411yescharacteristic
858C22×Q8C2411yescharacteristic
859C22×Q8C2412yes—
860C22×D4—28no—
861C22×D4—24no—
862C22×D4—42no—
863C22×D4—42no—
864C22×D4—44no—
865C22×D4—44no—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2411yescharacteristic
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2411yescharacteristic
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C23×C4—24no—
889C23×C4—24no—
890C23×C4—28no—
891C23×C4—44no—
892C23×C4—44no—
893C23×C4#4118yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2414yes—
919C23×C4C2411yescharacteristic
920C4⋊Q8—42no—
921C4⋊Q8—42no—
922#127—42no—
923#127—42no—
924#126—48no—
925#126—84no—
926#126—84no—
927#125—44no—
928#125—44no—
929#125—44no—
930#125—44no—
931#124—42no—
932#124—42no—
933#124—42no—
934#124—42no—
935#123—28no—
936#123—28no—
937#123—48no—
938#123—48no—
939C22⋊Q8—24no—
940C22⋊Q8—24no—
941C22⋊Q8—24no—
942C22⋊Q8—24no—
943C22⋊Q8—44no—
944C22⋊Q8—44no—
945C22⋊Q8—44no—
946C22⋊Q8—44no—
947C22⋊Q8—44no—
948C22⋊Q8—44no—
949#121—24no—
950#121—24no—
951#121—24no—
952#121—24no—
953#121—48no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—48no—
965#121—48no—
966#121—48no—
967#121—84no—
968#121—84no—
969#120—28no—
970#120—28no—
971#120—44no—
972#120—44no—
973#120—84no—
974C4×Q8—42no—
975C4×Q8—42no—
976C4×Q8—44no—
977C4×D4—28no—
978C4×D4—28no—
979C4×D4—28no—
980C4×D4—28no—
981C4×D4—42no—
982C4×D4—42no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—48no—
993C4×D4—84no—
994#117—24no—
995#117—24no—
996#117—24no—
997#117—24no—
998#117—44no—
999#117—44no—
1000#117—44no—
1001#117—44no—
1002#117—44no—
1003#117—44no—
1004#117—44no—
1005#117—42no—
1006#117—42no—
1007#117—44no—
1008C2×C4⋊C4—24no—
1009C2×C4⋊C4—24no—
1010C2×C4⋊C4—24no—
1011C2×C4⋊C4—24no—
1012C2×C4⋊C4—44no—
1013C2×C4⋊C4—44no—
1014C2×C4⋊C4—42no—
1015C2×C4⋊C4—42no—
1016C2×C4⋊C4—44no—
1017C2×C4⋊C4—44no—
1018C2×C4⋊C4—44no—
1019C2×C4⋊C4—82no—
1020C2×C4⋊C4—82no—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C22⋊C4—42no—
1074C2×C22⋊C4—42no—
1075C2×C22⋊C4—44no—
1076C2×C22⋊C4—44no—
1077C2×C22⋊C4—82no—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C42—24no—
1152C2×C42—24no—
1153C2×C42—44no—
1154C2×C42—44no—
1155C2×C42—44no—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2414yes—
1171C2×C42C2414yes—
1172C2×C42C2414yes—
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2414yes—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2414yes—
1180C2×C42C2412yes—
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239C24—22no—
1240C24—22no—
1241C24—24no—
1242C24—41no—
1243C24—41no—
1244C24—41no—
1245C24—42no—
1246C24—42no—
1247C24—41no—
1248C24—42no—
1249C24—42no—
1250C24—42no—
1251C24—42no—
1252C24C2×#4114yes—
1253C24C2512yes—
1254C24C2512yes—
1255C24C2512yes—
1256C24C2512yes—
1257C24C2511yescharacteristic
1258C24C2511yescharacteristic
1259C24C2511yescharacteristic
1260#41—432no—
1261#41—416no—
1262#41—416no—
1263#41—432no—
1264#41—416no—
1265#41—416no—
1266#41—416no—
1267#41—416no—
1268C2×Q8—22no—
1269C2×Q8—22no—
1270C2×Q8—24no—
1271C2×Q8—22no—
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—22no—
1275C2×Q8—22no—
1276C2×Q8—22no—
1277C2×Q8—22no—
1278C2×Q8—22no—
1279C2×Q8—22no—
1280C2×Q8—22no—
1281C2×Q8—42no—
1282C2×Q8—42no—
1283C2×Q8—416no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—24no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—416no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—432no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—232no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—24no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—24no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—42no—
1391C22×C4—41no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—41no—
1399C22×C4—42no—
1400C22×C4—42no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—41no—
1405C22×C4—41no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—41no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—41no—
1419C22×C4—42no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—432no—
1424C22×C4C2×#4114yes—
1425C22×C4C2×#4114yes—
1426C22×C4C2×#4114yes—
1427C22×C4C2×#4114yes—
1428C22×C4C2×#4114yes—
1429C22×C4C2×#4114yes—
1430C22×C4H(5,𝔽2)14yes—
1431C22×C4H(5,𝔽2)14yes—
1432C22×C4C2512yes—
1433C22×C4C2512yes—
1434C22×C4C2511yescharacteristic
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2514yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2514yes—
1447C22×C4C2512yes—
1448C22×C4C2514yes—
1449C22×C4C2514yes—
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—28no—
1481C4⋊C4—28no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—42no—
1511C4⋊C4—44no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—41no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—44no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—42no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C42—24no—
1586C42—24no—
1587C42—22no—
1588C42—22no—
1589C42—22no—
1590C42—22no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—24no—
1596C42—24no—
1597C42—42no—
1598C42—42no—
1599C42—44no—
1600C42—44no—
1601C42—42no—
1602C42—42no—
1603C42—42no—
1604C42—44no—
1605C42—42no—
1606C42—42no—
1607C42—44no—
1608C42—44no—
1609C42—42no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—28no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—44no—
1656C23—44no—
1657C23—48no—
1658C23—82no—
1659C23—82no—
1660C23—82no—
1661C23—82no—
1662C23—84no—
1663C23—84no—
1664C23—84no—
1665C23—84no—
1666C23—84no—
1667C23—84no—
1668C23C22×#4112yes—
1669C23C22×#4112yes—
1670C23C22×#4112yes—
1671C23C2×H(5,𝔽2)12yes—
1672C23C2×H(5,𝔽2)12yes—
1673C23C2611yescharacteristic
1674Q8—48no—
1675Q8—44no—
1676Q8—44no—
1677Q8—44no—
1678Q8—44no—
1679D4—48no—
1680D4—48no—
1681D4—48no—
1682D4—48no—
1683D4—48no—
1684D4—48no—
1685D4—48no—
1686D4—48no—
1687D4—48no—
1688D4—44no—
1689D4—44no—
1690D4—44no—
1691D4—44no—
1692D4—84no—
1693D4—84no—
1694D4—84no—
1695D4—84no—
1696D4—84no—
1697D4—84no—
1698D4—164no—
1699D4—164no—
1700D4—164no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—28no—
1710C2×C4—28no—
1711C2×C4—28no—
1712C2×C4—28no—
1713C2×C4—28no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—24no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—24no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—24no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—24no—
1768C2×C4—24no—
1769C2×C4—21no—
1770C2×C4—24no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—48no—
1783C2×C4—48no—
1784C2×C4—48no—
1785C2×C4—48no—
1786C2×C4—48no—
1787C2×C4—48no—
1788C2×C4—48no—
1789C2×C4—48no—
1790C2×C4—84no—
1791C2×C4—84no—
1792C2×C4—82no—
1793C2×C4—82no—
1794C2×C4—84no—
1795C2×C4—84no—
1796C2×C4—84no—
1797C2×C4—84no—
1798C2×C4—84no—
1799C2×C4—164no—
1800C2×C4#538116yes—
1801C2×C4C22×#4112yes—
1802C2×C4C22×#4112yes—
1803C2×C4C22×#4112yes—
1804C2×C4C22×#4112yes—
1805C2×C4C2×H(5,𝔽2)12yes—
1806C2×C4C2×H(5,𝔽2)12yes—
1807C2×C4C2×H(5,𝔽2)12yes—
1808C2×C4C2×H(5,𝔽2)12yes—
1809C2×C4#58512yes—
1810C2×C4#58512yes—
1811C22—22no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—88no—
1860C22—816no—
1861C22C2×#53814yes—
1862C22C23×#4111yescharacteristic
1863C22C22×H(5,𝔽2)11yescharacteristic
1864C22C22×H(5,𝔽2)11yescharacteristic
1865C22C2×#58511yescharacteristic
1866C22C2×#58511yescharacteristic
1867C22H(7,𝔽2)11yescharacteristic
1868C222−1+611yescharacteristic
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—42no—
1874C4—42no—
1875C4—42no—
1876C4—42no—
1877C4—44no—
1878C4—41no—
1879C4—41no—
1880C4—42no—
1881C4—42no—
1882C4—42no—
1883C4—42no—
1884C4—41no—
1885C4—42no—
1886C4—42no—
1887C4—41no—
1888C4—41no—
1889C4—44no—
1890C4—44no—
1891C4—41no—
1892C4—42no—
1893C4—42no—
1894C4—44no—
1895C4C2×#53814yes—
1896C4C2×#53814yes—
1897C2—24no—
1898C2—42no—
1899C2—42no—
1900C2—82no—
1901C2—82no—
1902C2—82no—
1903C2—82no—
1904C2C22×#53811yescharacteristic
1905C2#6281511yescharacteristic
1906C2#6285611yescharacteristic
1907C2#6292511yescharacteristic
1908C2#6292711yescharacteristic
1909C2#6295511yescharacteristic
1910C2#6295711yescharacteristic
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. #42653C2semidirect
2. #42462C2semidirect
3. #42449C2semidirect
4. #42448C2semidirect
5. #40662C2semidirect
6. #40661C2semidirect
7. #39935C2semidirect
8. #39932C2semidirect
9. #39910C2semidirect
10. #39909C2semidirect
11. #38488C2semidirect
12. #38487C2semidirect
13. #37500C2semidirect
14. #37498C2semidirect
15. #37411C2semidirect
16. #37398C2semidirect
17. #37365C2semidirect
18. #37331C2semidirect
19. #35649C2semidirect
20. #35564C2semidirect
21. #35557C2semidirect
22. #35517C2semidirect
23. #35341C2semidirect
24. #35273C2semidirect
25. #35267C2semidirect
26. #35255C2semidirect
27. #35251C2semidirect
28. #35150C2semidirect
29. #35038C2semidirect
30. #35036C2semidirect
31. #34738C2semidirect
32. C2×#2441C2semidirect
33. #34202C2semidirect
34. #34136C2semidirect
35. #34044C2semidirect
39. C2×#537C22semidirect
42. C22×#125C22semidirect
45. C2×#520C22semidirect
46. C2×C4×#41C22semidirect
49. #2863C22semidirect
50. #2861C22semidirect
51. #2861C22semidirect
52. #2860C22semidirect
53. #2857C22semidirect
54. #2856C22semidirect
55. #2855C22semidirect
56. #2854C22semidirect
57. #2854C22semidirect
60. #2827C22semidirect
61. #2826C22semidirect
62. #2826C22semidirect
63. #2825C22semidirect
64. #2808C22semidirect
65. #2805C22semidirect
66. #2803C22semidirect
67. #2803C22semidirect
68. #2803C22semidirect
69. #2800C22semidirect
70. #2797C22semidirect
71. #2788C22semidirect
72. #2788C22semidirect
73. #2775C22semidirect
74. #2774C22semidirect
79. #2751C22semidirect
82. #2745C22semidirect
87. #2727C22semidirect
88. #2714C22semidirect
93. #2682C22semidirect
96. #2652C22semidirect
97. #2649C22semidirect
98. #2649C22semidirect
99. #2649C22semidirect
100. #2649C22semidirect
101. #2648C22semidirect
102. #2648C22semidirect
103. #2648C22semidirect
104. #2645C22semidirect
105. #2644C22semidirect
106. #2642C22semidirect
107. #2641C22semidirect
108. #2636C22semidirect
109. #2635C22semidirect
110. #2635C22semidirect
111. #2630C22semidirect
112. #2625C22semidirect
113. #2624C22semidirect
114. #2620C22semidirect
115. #2620C22semidirect
119. #2597C22semidirect
120. #2595C22semidirect
121. #2591C22semidirect
122. #2591C22semidirect
123. #2591C22semidirect
124. #2587C22semidirect
125. #2587C22semidirect
126. #2578C22semidirect
127. #2576C22semidirect
128. #2562C22semidirect
129. #2562C22semidirect
130. #2562C22semidirect
131. #2562C22semidirect
132. #2559C22semidirect
133. #2559C22semidirect
134. #2543C22semidirect
135. #2538C22semidirect
136. #2538C22semidirect
137. #2537C22semidirect
138. #2537C22semidirect
139. #2518C22semidirect
140. #2512C22semidirect
141. #2512C22semidirect
142. #2511C22semidirect
143. #2511C22semidirect
144. #2510C22semidirect
145. #2504C22semidirect
146. #2497C22semidirect
147. #2497C22semidirect
148. #2497C22semidirect
149. #2496C22semidirect
150. #2496C22semidirect
151. #2496C22semidirect
152. #2495C22semidirect
153. #2494C22semidirect
154. #2490C22semidirect
155. #2490C22semidirect
156. #2490C22semidirect
157. #2490C22semidirect
158. #2489C22semidirect
159. #2489C22semidirect
160. #2489C22semidirect
161. #2489C22semidirect
162. #2487C22semidirect
163. #2486C22semidirect
164. #2485C22semidirect
165. #2485C22semidirect
166. #2481C22semidirect
167. #2481C22semidirect
168. #2481C22semidirect
169. #2467C22semidirect
170. #2467C22semidirect
171. #2456C22semidirect
172. #2448C22semidirect
173. #2447C22semidirect
174. #2446C22semidirect
175. #2445C22semidirect
176. #2444C22semidirect
177. #2444C22semidirect
178. #2443C22semidirect
179. #2443C22semidirect
184. #2441C22semidirect
185. #2441C22semidirect
186. #2441C22semidirect
187. #2441C22semidirect
199. #2429C22semidirect
200. #2428C22semidirect
201. #2427C22semidirect
202. #2426C22semidirect
203. #2423C22semidirect
204. #2422C22semidirect
205. #2421C22semidirect
206. #2420C22semidirect
207. #2417C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
214. #2415C22semidirect
215. #2415C22semidirect
216. #2415C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
237. #2361C22semidirect
238. #2361C22semidirect
239. #2360C22semidirect
240. #2360C22semidirect
241. #2359C22semidirect
242. #2359C22semidirect
243. #2359C22semidirect
249. #2352C22semidirect
250. D4×C4⋊C4C22semidirect
251. #2335C22semidirect
252. #2335C22semidirect
253. #2334C22semidirect
254. #2333C22semidirect
257. #2317C22semidirect
258. #2316C22semidirect
267. #2311C22semidirect
268. #2311C22semidirect
269. #2311C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×#121C22semidirect
282. #2297C22semidirect
283. #2296C22semidirect
285. C2×#389C22semidirect
286. C2×#389C22semidirect
287. C2×#389C22semidirect
289. #2290C22semidirect
290. C2×#387C22semidirect
291. C2×#384C22semidirect
295. #2274C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#426532
#424622
#424492
#424482
#406622
#406612
#399352
#399322
#399102
#399092
#384882
#384872
#375002
#374982
#374112
#373982
#373652
#373312
#356492
#355642
#355572
#355172
#353412
#352732
#352672
#352552
#352512
#351502
#350382
#350362
#347382
C2×#24412
#342022
#341362
#340442