Finite Group Databasebeta

← #8425183

Subgroups — #8425183

Order 512.

5764 conjugacy classes of subgroups.

The subgroup lattice has 1911 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59419C212yesmaximal, complemented
3#59051C211yesmaximal, characteristic, complemented
4#59051C211yesmaximal, characteristic, complemented
5#59023C212yesmaximal, complemented
6#56614C214yesmaximal, complemented
7#56289C214yesmaximal, complemented
8#53128C212yesmaximal, complemented
9#53096C212yesmaximal, complemented
10#53014C212yesmaximal, complemented
11#52992C212yesmaximal, complemented
12#52632C214yesmaximal, complemented
13#42951C212yesmaximal, complemented
14#42541C212yesmaximal, complemented
15#42483C212yesmaximal, complemented
16#42421C212yesmaximal, complemented
17#40931C214yesmaximal, complemented
18#40140C212yesmaximal, complemented
19#39861C212yesmaximal, complemented
20#39340C211yesmaximal, characteristic, complemented
21#39200C211yesmaximal, characteristic, complemented
22#39064C212yesmaximal, complemented
23#38951C211yesmaximal, characteristic, complemented
24#38930C211yesmaximal, characteristic, complemented
25#37657C212yesmaximal, complemented
26#37626C211yesmaximal, characteristic, complemented
27#37618C211yesmaximal, characteristic, complemented
28#37587C212yesmaximal, complemented
29#37444C212yesmaximal, complemented
30#36449C211yesmaximal, characteristic, complemented
31#36153C211yesmaximal, characteristic, complemented
32#36149C211yesmaximal, characteristic, complemented
33#34936C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic, complemented
36C2×#550C2212yes—
37C2×#550C2212yes—
38C2×#550C2212yes—
39C2×#547C2211yescharacteristic
40C2×#547C2211yescharacteristic, complemented
41C2×#547C2212yescomplemented
42C2×#546C2212yes—
43C2×#537C2212yescomplemented
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2211yescharacteristic, complemented
47C2×#525C2212yes—
48C2×#525C2212yes—
49C2×#525C2212yes—
50C22×C4×D4C2211yescharacteristic
51#2863C2212yescomplemented
52#2862C2211yescharacteristic, complemented
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic, complemented
55#2847C2212yes—
56#2841C2214yescomplemented
57#2836C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2828C2214yescomplemented
61#2828C2214yescomplemented
62#2827C2214yescomplemented
63#2826C2214yescomplemented
64#2815C2214yes—
65#2815C2214yescomplemented
66#2814C2214yes—
67#2813C2214yes—
68#2813C2214yes—
69#2813C2214yescomplemented
70#2773C2214yescomplemented
71#2761C2214yescomplemented
72#2756C2214yescomplemented
73#2754C2214yescomplemented
74#2749C2214yescomplemented
75#2749C2214yescomplemented
76#2748C2214yescomplemented
77#2743C2214yescomplemented
78#2740C2214yescomplemented
79#2738C2214yescomplemented
80#2737C2214yescomplemented
81#2709C2214yes—
82#2708C2214yes—
83#2706C2214yescomplemented
84#2706C2214yescomplemented
85#2703C2214yes—
86#2703C2214yes—
87#2699C2214yescomplemented
88#2699C2214yescomplemented
89#2696C2214yescomplemented
90#2693C2214yes—
91#2692C2214yescomplemented
92#2688C2214yes—
93#2687C2214yes—
94#2682C2214yescomplemented
95#2681C2214yes—
96#2676C2214yescomplemented
97#2673C2214yes—
98#2673C2214yes—
99#2673C2214yes—
100#2673C2214yescomplemented
101#2672C2214yescomplemented
102#2671C2214yescomplemented
103#2669C2214yes—
104#2669C2214yes—
105#2669C2214yes—
106#2668C2214yes—
107#2661C2214yescomplemented
108#2657C2212yes—
109#2648C2214yescomplemented
110#2647C2212yescomplemented
111#2640C2212yescomplemented
112#2635C2214yescomplemented
113#2635C2214yescomplemented
114#2631C2214yescomplemented
115#2630C2214yes—
116#2630C2214yescomplemented
117#2630C2214yescomplemented
118#2625C2212yescomplemented
119#2624C2212yescomplemented
120#2624C2212yescomplemented
121#2620C2212yescomplemented
122#2619C2212yes—
123#2619C2212yescomplemented
124#2617C2214yes—
125#2617C2214yes—
126#2616C2212yescomplemented
127#2615C2214yes—
128#2615C2212yescomplemented
129#2615C2212yescomplemented
130#2600C2214yescomplemented
131#2592C2212yes—
132#2582C2212yescomplemented
133#2578C2214yes—
134#2571C2211yescharacteristic, complemented
135#2564C2214yescomplemented
136#2547C2211yescharacteristic
137#2547C2211yescharacteristic, complemented
138#2543C2214yescomplemented
139#2543C2214yescomplemented
140#2542C2211yescharacteristic
141#2542C2211yescharacteristic
142#2541C2212yes—
143#2541C2211yescharacteristic
144#2541C2211yescharacteristic
145#2541C2212yescomplemented
146#2541C2211yescharacteristic, complemented
147#2541C2211yescharacteristic, complemented
148#2540C2212yes—
149#2540C2212yes—
150#2539C2214yes—
151#2538C2212yescomplemented
152#2537C2211yescharacteristic
153#2537C2212yescomplemented
154#2537C2212yescomplemented
155#2536C2212yescomplemented
156#2535C2212yes—
157#2535C2212yescomplemented
158#2535C2212yescomplemented
159#2534C2214yes—
160#2532C2212yescomplemented
161#2530C2214yescomplemented
162#2526C2212yescomplemented
163#2518C2212yes—
164#2513C2211yescharacteristic, complemented
165#2511C2212yescomplemented
166#2508C2211yescharacteristic, complemented
167#2503C2212yescomplemented
168#2502C2212yescomplemented
169#2501C2212yes—
170#2500C2211yescharacteristic
171#2497C2212yescomplemented
172#2497C2211yescharacteristic, complemented
173#2495C2212yescomplemented
174#2492C2212yescomplemented
175#2491C2211yescharacteristic, complemented
176#2486C2212yes—
177#2485C2211yescharacteristic
178#2485C2212yes—
179#2472C2212yes—
180#2464C2212yes—
181#2464C2214yescomplemented
182#2463C2214yescomplemented
183#2461C2212yes—
184#2459C2212yes—
185#2457C2214yescomplemented
186#2456C2214yescomplemented
187#2456C2214yescomplemented
188#2456C2214yescomplemented
189#2452C2211yescharacteristic
190#2450C2214yescomplemented
191#2448C2212yes—
192#2447C2212yescomplemented
193#2447C2212yescomplemented
194#2445C2211yescharacteristic
195#2445C2212yes—
196#2445C2212yescomplemented
197#2440C2211yescharacteristic
198#2440C2212yescomplemented
199#2439C2211yescharacteristic
200#2433C2212yes—
201#2433C2211yescharacteristic
202#2431C2212yes—
203#2431C2212yes—
204#2431C2212yes—
205#2431C2214yescomplemented
206#2431C2212yescomplemented
207#2431C2212yescomplemented
208#2428C2211yescharacteristic
209#2428C2212yes—
210#2428C2212yes—
211#2428C2214yescomplemented
212#2428C2212yescomplemented
213#2428C2212yescomplemented
214#2428C2212yescomplemented
215#2427C2212yes—
216#2427C2212yes—
217#2427C2212yes—
218#2427C2212yescomplemented
219#2426C2212yescomplemented
220#2426C2212yescomplemented
221#2425C2214yes—
222#2424C2212yes—
223#2423C2212yescomplemented
224#2422C2211yescharacteristic
225#2421C2212yes—
226#2421C2212yescomplemented
227#2420C2212yes—
228#2420C2212yes—
229#2420C2212yescomplemented
230#2420C2212yescomplemented
231#2420C2214yescomplemented
232#2420C2212yescomplemented
233#2419C2214yescomplemented
234#2417C2212yes—
235#2417C2212yescomplemented
236#2417C2212yescomplemented
237#2417C2212yescomplemented
238#2417C2212yescomplemented
239#2416C2212yes—
240#2416C2212yes—
241#2416C2211yescharacteristic
242#2416C2212yes—
243#2416C2212yescomplemented
244#2416C2212yescomplemented
245#2416C2212yescomplemented
246#2414C2211yescharacteristic
247#2412C2214yes—
248#2408C2211yescharacteristic
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yescomplemented
253#2407C2214yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2404C2214yes—
258#2398C2212yes—
259#2397C2214yes—
260#2392C2212yes—
261#2392C2212yes—
262#2388C2212yes—
263#2365C2211yescharacteristic, complemented
264#2365C2211yescharacteristic, complemented
265#2361C2212yescomplemented
266#2361C2212yescomplemented
267#2352C2212yes—
268#2349C2212yescomplemented
269D4×C4⋊C4C2211yescharacteristic
270D4×C4⋊C4C2211yescharacteristic, complemented
271#2345C2212yescomplemented
272#2339C2212yes—
273#2339C2212yes—
274#2339C2212yescomplemented
275#2339C2214yescomplemented
276#2325C2214yescomplemented
277#2323C2212yescomplemented
278#2319C2212yes—
279#2311C2212yes—
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×#127C2212yes—
282C4×#127C2211yescharacteristic
283C4×#127C2212yes—
284C4×#127C2211yescharacteristic, complemented
285C4×#124C2212yescomplemented
286C4×#124C2212yescomplemented
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic, complemented
291C4×#120C2212yes—
292#2298C2212yescomplemented
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic, complemented
295#2283C2211yescharacteristic, complemented
296C2×#380C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2314yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×D4C2311yescharacteristic
306C24×C4C2312yes—
307#550—48no—
308#550—48no—
309#550—48no—
310#547—48no—
311#547—44no—
312#547—44no—
313#546—48no—
314#537—48no—
315#532—44no—
316#532—44no—
317#532—44no—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2311yescharacteristic
328C2×#127C2312yes—
329C2×#127C2314yes—
330C2×#127C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337#525—48no—
338#525—48no—
339#525—48no—
340C2×#123C2314yes—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2314yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2311yescharacteristic
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2311yescharacteristic
395C2×#121C2311yescharacteristic
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#120C2314yes—
399C2×#120C2312yes—
400C2×#120C2314yes—
401C2×#120C2312yes—
402C2×#120C2312yes—
403C2×#120C2314yes—
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×D4—44no—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2314yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×#117C2311yescharacteristic
442C2×#117C2311yescharacteristic
443C2×#117C2312yes—
444C2×#117C2312yes—
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2311yescharacteristic
450C22×C22⋊C4C2314yes—
451C22×C22⋊C4C2312yes—
452C22×C42C2311yescharacteristic
453C22×C42C2311yescharacteristic
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2312yes—
460#400C2314yes—
461#400C2312yes—
462#400C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2314yes—
469#398C2312yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2312yes—
478#398C2314yes—
479#397C2312yes—
480#397C2314yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2312yes—
495#397C2314yes—
496#397C2314yes—
497#397C2312yes—
498#396C2312yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2312yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2312yes—
510#396C2312yes—
511#395C2314yes—
512#395C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2312yes—
527#394C2312yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2312yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2312yes—
542#394C2314yes—
543#394C2312yes—
544#394C2312yes—
545#394C2312yes—
546#394C2312yes—
547#394C2312yes—
548#394C2312yes—
549#394C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2312yes—
554#393C2312yes—
555#393C2312yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2312yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2312yes—
581#392C2312yes—
582#392C2312yes—
583#392C2312yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2314yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#390C2311yescharacteristic
602#390C2312yes—
603#390C2314yes—
604#390C2312yes—
605#390C2311yescharacteristic
606#390C2312yes—
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2314yes—
611#390C2312yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2314yes—
617#390C2311yescharacteristic
618#390C2311yescharacteristic
619#390C2312yes—
620#390C2312yes—
621#390C2311yescharacteristic
622#390C2311yescharacteristic
623#390C2314yes—
624#390C2311yescharacteristic
625#390C2311yescharacteristic
626#390C2312yes—
627#390C2311yescharacteristic
628#390C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2314yes—
636#389C2311yescharacteristic
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2314yes—
664#388C2312yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2314yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#387C2312yes—
680#387C2314yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#387C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#385C2314yes—
737#385C2312yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#384C2312yes—
742#384C2312yes—
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2311yescharacteristic
746#383C2314yes—
747#383C2312yes—
748#382C2312yes—
749#382C2312yes—
750#382C2312yes—
751#382C2312yes—
752#382C2312yes—
753#382C2311yescharacteristic
754#382C2311yescharacteristic
755#381C2314yes—
756#381C2314yes—
757#381C2314yes—
758#381C2314yes—
759#381C2314yes—
760#381C2314yes—
761#381C2312yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2314yes—
774#380C2314yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2314yes—
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#380C2311yescharacteristic
788#380C2314yes—
789#379C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819#376C2312yes—
820#376C2312yes—
821C2×#95C2314yes—
822C2×#95C2314yes—
823C43C2312yes—
824C43C2311yescharacteristic
825C25C2412yes—
826C2×#41—28no—
827C2×#41—28no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—48no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—48no—
839C2×#41—44no—
840C2×#41—44no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—48no—
844C22×Q8C2412yes—
845C22×Q8C2412yes—
846C22×Q8C2412yes—
847C22×Q8C2412yes—
848C22×D4—24no—
849C22×D4—42no—
850C22×D4—42no—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2411yescharacteristic
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2411yescharacteristic
859C22×D4C2411yescharacteristic
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C23×C4—28no—
884C23×C4—44no—
885C23×C4—44no—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2414yes—
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2414yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2414yes—
903C23×C4C2411yescharacteristic
904C23×C4C2414yes—
905C23×C4C2414yes—
906C4⋊Q8—24no—
907C4⋊Q8—24no—
908C4⋊Q8—24no—
909C4⋊Q8—42no—
910#127—28no—
911#127—24no—
912#127—24no—
913#127—44no—
914#127—42no—
915#127—44no—
916#127—44no—
917#127—48no—
918#127—48no—
919#124—44no—
920#124—44no—
921#124—44no—
922#124—44no—
923#124—44no—
924#124—44no—
925#123—48no—
926#123—48no—
927#123—48no—
928#123—44no—
929#123—44no—
930#123—48no—
931#123—48no—
932#123—48no—
933#123—48no—
934C22⋊Q8—28no—
935C22⋊Q8—44no—
936C22⋊Q8—48no—
937C22⋊Q8—48no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940C22⋊Q8—44no—
941C22⋊Q8—44no—
942C22⋊Q8—44no—
943C22⋊Q8—44no—
944C22⋊Q8—44no—
945C22⋊Q8—44no—
946#121—24no—
947#121—24no—
948#121—28no—
949#121—24no—
950#121—48no—
951#121—44no—
952#121—44no—
953#121—48no—
954#121—48no—
955#121—48no—
956#121—48no—
957#121—48no—
958#121—48no—
959#121—48no—
960#121—44no—
961#121—42no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—42no—
966#121—42no—
967#121—44no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—48no—
973#121—44no—
974#121—44no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—44no—
979#121—44no—
980#121—48no—
981#121—48no—
982#121—48no—
983#120—44no—
984#120—48no—
985#120—48no—
986#120—44no—
987#120—44no—
988#120—48no—
989C4×Q8—44no—
990C4×Q8—44no—
991C4×Q8—44no—
992C4×D4—28no—
993C4×D4—24no—
994C4×D4—28no—
995C4×D4—24no—
996C4×D4—24no—
997C4×D4—24no—
998C4×D4—24no—
999C4×D4—44no—
1000C4×D4—42no—
1001C4×D4—48no—
1002C4×D4—42no—
1003C4×D4—42no—
1004C4×D4—48no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—42no—
1014C4×D4—44no—
1015C4×D4—48no—
1016C4×D4—48no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—44no—
1022C4×D4—44no—
1023C4×D4—48no—
1024C4×D4—48no—
1025#117—24no—
1026#117—24no—
1027#117—44no—
1028#117—44no—
1029C2×C4⋊C4—28no—
1030C2×C4⋊C4—42no—
1031C2×C4⋊C4—44no—
1032C2×C4⋊C4—44no—
1033C2×C4⋊C4—44no—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C22⋊C4—44no—
1087C2×C22⋊C4—48no—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2411yescharacteristic
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C42—24no—
1166C2×C42—24no—
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2412yes—
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2414yes—
1185C2×C42C2414yes—
1186C2×C42C2412yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2412yes—
1189C2×C42C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244C24—24no—
1245C24—24no—
1246C24—42no—
1247C24—42no—
1248C24—42no—
1249C24—42no—
1250C24—42no—
1251C24C2512yes—
1252C24C2512yes—
1253C24C2514yes—
1254C24C2512yes—
1255C24C2511yescharacteristic
1256C24C2511yescharacteristic
1257C24C2512yes—
1258#41—816no—
1259#41—816no—
1260#41—816no—
1261#41—816no—
1262#41—816no—
1263#41—832no—
1264C2×Q8—24no—
1265C2×Q8—24no—
1266C2×Q8—24no—
1267C2×Q8—24no—
1268C2×Q8—24no—
1269C2×Q8—24no—
1270C2×Q8—24no—
1271C2×Q8—24no—
1272C2×Q8—42no—
1273C2×Q8—42no—
1274C2×Q8—42no—
1275C2×Q8—42no—
1276C2×D4—22no—
1277C2×D4—28no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—28no—
1282C2×D4—28no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—28no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—22no—
1293C2×D4—28no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—24no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—22no—
1304C2×D4—24no—
1305C2×D4—22no—
1306C2×D4—24no—
1307C2×D4—22no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—44no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—44no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—44no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—42no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—42no—
1348C2×D4—44no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—42no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—416no—
1372C2×D4H(5,𝔽2)14yes—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—28no—
1376C22×C4—28no—
1377C22×C4—24no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—28no—
1402C22×C4—28no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—28no—
1406C22×C4—42no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—41no—
1423C22×C4—41no—
1424C22×C4—44no—
1425C22×C4—42no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—816no—
1433C22×C4H(5,𝔽2)14yes—
1434C22×C4C2511yescharacteristic
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2512yes—
1439C22×C4C2514yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2514yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2512yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2514yes—
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C4⋊C4—24no—
1463C4⋊C4—28no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—22no—
1477C4⋊C4—28no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—42no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—41no—
1495C4⋊C4—41no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—42no—
1507C4⋊C4—44no—
1508C4⋊C4—42no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4H(5,𝔽2)14yes—
1514C22⋊C4—24no—
1515C22⋊C4—22no—
1516C22⋊C4—24no—
1517C22⋊C4—28no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—22no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—28no—
1528C22⋊C4—28no—
1529C22⋊C4—24no—
1530C22⋊C4—22no—
1531C22⋊C4—22no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—24no—
1598C42—24no—
1599C42—22no—
1600C42—24no—
1601C42—24no—
1602C42—22no—
1603C42—24no—
1604C42—22no—
1605C42—22no—
1606C42—24no—
1607C42—22no—
1608C42—41no—
1609C42—42no—
1610C42—44no—
1611C42—44no—
1612C42—42no—
1613C42H(5,𝔽2)14yes—
1614C23—21no—
1615C23—22no—
1616C23—21no—
1617C23—22no—
1618C23—22no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—22no—
1623C23—22no—
1624C23—21no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—24no—
1629C23—22no—
1630C23—22no—
1631C23—21no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—21no—
1638C23—24no—
1639C23—24no—
1640C23—21no—
1641C23—22no—
1642C23—22no—
1643C23—24no—
1644C23—22no—
1645C23—21no—
1646C23—21no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—24no—
1652C23—21no—
1653C23—24no—
1654C23—22no—
1655C23—22no—
1656C23—21no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—24no—
1661C23—48no—
1662C23—48no—
1663C23—84no—
1664C23—84no—
1665C23—84no—
1666C23—84no—
1667C23—84no—
1668C23C2×H(5,𝔽2)12yes—
1669C23C2×H(5,𝔽2)14yes—
1670C23C2611yescharacteristic
1671Q8—48no—
1672Q8—48no—
1673Q8—48no—
1674Q8—84no—
1675D4—28no—
1676D4—416no—
1677D4—48no—
1678D4—48no—
1679D4—44no—
1680D4—48no—
1681D4—44no—
1682D4—44no—
1683D4—48no—
1684D4—48no—
1685D4—44no—
1686D4—84no—
1687D4—84no—
1688D4—84no—
1689D4—88no—
1690D4—84no—
1691D4—84no—
1692D4—88no—
1693D4—88no—
1694D4—88no—
1695D4—88no—
1696D4—88no—
1697D4—84no—
1698D4—84no—
1699D4—84no—
1700D4—84no—
1701D4—88no—
1702D4—88no—
1703D4—88no—
1704D4—164no—
1705D4—164no—
1706D4—164no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—28no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—24no—
1736C2×C4—24no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—24no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—24no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—24no—
1752C2×C4—22no—
1753C2×C4—24no—
1754C2×C4—24no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—24no—
1772C2×C4—24no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—44no—
1783C2×C4—48no—
1784C2×C4—44no—
1785C2×C4—48no—
1786C2×C4—48no—
1787C2×C4—48no—
1788C2×C4—44no—
1789C2×C4—82no—
1790C2×C4—82no—
1791C2×C4—84no—
1792C2×C4—84no—
1793C2×C4—88no—
1794C2×C4—88no—
1795C2×C4—88no—
1796C2×C4—84no—
1797C2×C4—88no—
1798C2×C4—88no—
1799C2×C4—88no—
1800C2×C4—88no—
1801C2×C4C2×H(5,𝔽2)12yes—
1802C2×C4C2×H(5,𝔽2)12yes—
1803C2×C4C2×H(5,𝔽2)14yes—
1804C2×C4C2×H(5,𝔽2)12yes—
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—24no—
1813C22—22no—
1814C22—24no—
1815C22—22no—
1816C22—24no—
1817C22—42no—
1818C22—41no—
1819C22—42no—
1820C22—42no—
1821C22—41no—
1822C22—41no—
1823C22—42no—
1824C22—41no—
1825C22—42no—
1826C22—42no—
1827C22—41no—
1828C22—42no—
1829C22—44no—
1830C22—42no—
1831C22—44no—
1832C22—41no—
1833C22—42no—
1834C22—42no—
1835C22—41no—
1836C22—42no—
1837C22—44no—
1838C22—42no—
1839C22—42no—
1840C22—41no—
1841C22—42no—
1842C22—42no—
1843C22—44no—
1844C22—42no—
1845C22—42no—
1846C22—44no—
1847C22—42no—
1848C22—41no—
1849C22—42no—
1850C22—41no—
1851C22—44no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—41no—
1856C22—42no—
1857C22—44no—
1858C22—42no—
1859C22—42no—
1860C22—816no—
1861C22C22×H(5,𝔽2)11yescharacteristic
1862C22C22×H(5,𝔽2)11yescharacteristic
1863C22C22×H(5,𝔽2)11yescharacteristic
1864C22C22×H(5,𝔽2)11yescharacteristic
1865C22C2×#58511yescharacteristic
1866C22C2×#58511yescharacteristic
1867C222−1+611yescharacteristic
1868C4—22no—
1869C4—22no—
1870C4—24no—
1871C4—22no—
1872C4—42no—
1873C4—42no—
1874C4—42no—
1875C4—41no—
1876C4—44no—
1877C4—44no—
1878C4—42no—
1879C4—41no—
1880C4—42no—
1881C4—42no—
1882C4—41no—
1883C4—42no—
1884C4—42no—
1885C4—42no—
1886C4—41no—
1887C4—42no—
1888C4—41no—
1889C4—41no—
1890C4—42no—
1891C4—41no—
1892C4—41no—
1893C4—44no—
1894C4#354214yes—
1895C4#354314yes—
1896C2—44no—
1897C2—42no—
1898C2—82no—
1899C2—81no—
1900C2—82no—
1901C2—84no—
1902C2—82no—
1903C2C2×#354211yescharacteristic
1904C2C2×#354311yescharacteristic
1905C2#6275911yescharacteristic
1906C2#6291411yescharacteristic
1907C2#6292211yescharacteristic
1908C2#6292511yescharacteristic
1909C2#6301211yescharacteristic
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. #59815C2semidirect
2. #59419C2semidirect
3. #59051C2semidirect
4. #59051C2semidirect
5. #59023C2semidirect
6. #56614C2semidirect
7. #56289C2semidirect
8. #53128C2semidirect
9. #53096C2semidirect
10. #53014C2semidirect
11. #52992C2semidirect
12. #52632C2semidirect
13. #42951C2semidirect
14. #42541C2semidirect
15. #42483C2semidirect
16. #42421C2semidirect
17. #40931C2semidirect
18. #40140C2semidirect
19. #39861C2semidirect
20. #39340C2semidirect
21. #39200C2semidirect
22. #39064C2semidirect
23. #38951C2semidirect
24. #38930C2semidirect
25. #37657C2semidirect
26. #37626C2semidirect
27. #37618C2semidirect
28. #37587C2semidirect
29. #37444C2semidirect
30. #36449C2semidirect
31. #36153C2semidirect
32. #36149C2semidirect
33. #34936C2semidirect
34. #34800C2semidirect
35. #34681C2semidirect
40. C2×#547C22semidirect
41. C2×#547C22semidirect
43. C2×#537C22semidirect
46. C2×#532C22semidirect
51. #2863C22semidirect
52. #2862C22semidirect
54. #2857C22semidirect
56. #2841C22semidirect
57. #2836C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2828C22semidirect
61. #2828C22semidirect
62. #2827C22semidirect
63. #2826C22semidirect
65. #2815C22semidirect
69. #2813C22semidirect
70. #2773C22semidirect
71. #2761C22semidirect
72. #2756C22semidirect
73. #2754C22semidirect
74. #2749C22semidirect
75. #2749C22semidirect
76. #2748C22semidirect
77. #2743C22semidirect
78. #2740C22semidirect
79. #2738C22semidirect
80. #2737C22semidirect
83. #2706C22semidirect
84. #2706C22semidirect
87. #2699C22semidirect
88. #2699C22semidirect
89. #2696C22semidirect
91. #2692C22semidirect
94. #2682C22semidirect
96. #2676C22semidirect
100. #2673C22semidirect
101. #2672C22semidirect
102. #2671C22semidirect
107. #2661C22semidirect
109. #2648C22semidirect
110. #2647C22semidirect
111. #2640C22semidirect
112. #2635C22semidirect
113. #2635C22semidirect
114. #2631C22semidirect
116. #2630C22semidirect
117. #2630C22semidirect
118. #2625C22semidirect
119. #2624C22semidirect
120. #2624C22semidirect
121. #2620C22semidirect
123. #2619C22semidirect
126. #2616C22semidirect
128. #2615C22semidirect
129. #2615C22semidirect
130. #2600C22semidirect
132. #2582C22semidirect
134. #2571C22semidirect
135. #2564C22semidirect
137. #2547C22semidirect
138. #2543C22semidirect
139. #2543C22semidirect
145. #2541C22semidirect
146. #2541C22semidirect
147. #2541C22semidirect
151. #2538C22semidirect
153. #2537C22semidirect
154. #2537C22semidirect
155. #2536C22semidirect
157. #2535C22semidirect
158. #2535C22semidirect
160. #2532C22semidirect
161. #2530C22semidirect
162. #2526C22semidirect
164. #2513C22semidirect
165. #2511C22semidirect
166. #2508C22semidirect
167. #2503C22semidirect
168. #2502C22semidirect
171. #2497C22semidirect
172. #2497C22semidirect
173. #2495C22semidirect
174. #2492C22semidirect
175. #2491C22semidirect
181. #2464C22semidirect
182. #2463C22semidirect
185. #2457C22semidirect
186. #2456C22semidirect
187. #2456C22semidirect
188. #2456C22semidirect
190. #2450C22semidirect
192. #2447C22semidirect
193. #2447C22semidirect
196. #2445C22semidirect
198. #2440C22semidirect
205. #2431C22semidirect
206. #2431C22semidirect
207. #2431C22semidirect
211. #2428C22semidirect
212. #2428C22semidirect
213. #2428C22semidirect
214. #2428C22semidirect
218. #2427C22semidirect
219. #2426C22semidirect
220. #2426C22semidirect
223. #2423C22semidirect
226. #2421C22semidirect
229. #2420C22semidirect
230. #2420C22semidirect
231. #2420C22semidirect
232. #2420C22semidirect
233. #2419C22semidirect
235. #2417C22semidirect
236. #2417C22semidirect
237. #2417C22semidirect
238. #2417C22semidirect
243. #2416C22semidirect
244. #2416C22semidirect
245. #2416C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
263. #2365C22semidirect
264. #2365C22semidirect
265. #2361C22semidirect
266. #2361C22semidirect
268. #2349C22semidirect
270. D4×C4⋊C4C22semidirect
271. #2345C22semidirect
274. #2339C22semidirect
275. #2339C22semidirect
276. #2325C22semidirect
277. #2323C22semidirect
280. C4×C4⋊Q8C22semidirect
284. C4×#127C22semidirect
285. C4×#124C22semidirect
286. C4×#124C22semidirect
290. C4×#121C22semidirect
292. #2298C22semidirect
294. #2293C22semidirect
295. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#598152
#594192
#590512
#590232
#566142
#562892
#531282
#530962
#530142
#529922
#526322
#429512
#425412
#424832
#424212
#409312
#401402
#398612
#393402
#392002
#390642
#389512
#389302
#376572
#376262
#376182
#375872
#374442
#364492
#361532
#361492
#349362
#348002
#346812