Finite Group Databasebeta

← #7737962

Subgroups — #7737962

Order 512.

6576 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59370C212yesmaximal, complemented
2#59045C214yesmaximal, complemented
3#58992C212yesmaximal, complemented
4#48922C212yesmaximal, complemented
5#48143C212yesmaximal, complemented
6#48081C214yesmaximal, complemented
7#44158C214yesmaximal, complemented
8#44075C214yesmaximal, complemented
9#43363C214yesmaximal, complemented
10#43109C214yesmaximal, complemented
11#39434C212yesmaximal, complemented
12#39416C212yesmaximal, complemented
13#38202C212yesmaximal, complemented
14#37780C212yesmaximal, complemented
15#37343C212yesmaximal, complemented
16#37307C211yesmaximal, characteristic, complemented
17#37273C211yesmaximal, characteristic, complemented
18#36368C212yesmaximal, complemented
19#36366C212yesmaximal, complemented
20#36264C212yesmaximal, complemented
21#36121C212yesmaximal, complemented
22#35538C212yesmaximal, complemented
23#35527C211yesmaximal, characteristic, complemented
24#35513C211yesmaximal, characteristic, complemented
25#35038C212yesmaximal, complemented
26#34681C212yesmaximal, complemented
27#34411C211yesmaximal, characteristic, complemented
28#34256C211yesmaximal, characteristic, complemented
29#34155C211yesmaximal, characteristic, complemented
30C22×H(5,𝔽2)C2211yescharacteristic
31C2×#551C2214yescomplemented
32C2×#546C2214yescomplemented
33C2×#540C2212yescomplemented
34C2×#537C2211yescharacteristic, complemented
35C2×#535C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C2×#535C2211yescharacteristic, complemented
38C2×#532C2211yescharacteristic
39C2×#532C2212yescomplemented
40C22×#127C2211yescharacteristic
41C2×#525C2214yescomplemented
42C2×#518C2211yescharacteristic, complemented
43C22×C4×D4C2211yescharacteristic, complemented
44#2863C2212yescomplemented
45#2861C2212yescomplemented
46#2860C2212yescomplemented
47#2858C2212yescomplemented
48#2857C2212yescomplemented
49#2856C2212yescomplemented
50#2855C2212yescomplemented
51#2854C2212yescomplemented
52#2806C2214yescomplemented
53#2780C2214yescomplemented
54#2757C2214yescomplemented
55#2756C2214yescomplemented
56#2756C2214yescomplemented
57#2749C2214yescomplemented
58#2748C2212yescomplemented
59#2748C2212yescomplemented
60#2735C2214yescomplemented
61#2733C2212yescomplemented
62#2732C2214yescomplemented
63#2731C2212yescomplemented
64#2730C2214yescomplemented
65#2715C2214yescomplemented
66#2714C2214yescomplemented
67#2710C2214yescomplemented
68#2701C2214yescomplemented
69#2700C2214yescomplemented
70#2699C2214yescomplemented
71#2699C2214yescomplemented
72#2697C2214yescomplemented
73#2688C2214yescomplemented
74#2686C2214yescomplemented
75#2685C2214yescomplemented
76#2684C2212yescomplemented
77#2683C2212yescomplemented
78#2683C2212yescomplemented
79#2678C2214yescomplemented
80#2678C2214yescomplemented
81#2678C2214yescomplemented
82#2676C2214yescomplemented
83#2676C2214yescomplemented
84#2673C2214yescomplemented
85#2673C2214yescomplemented
86#2669C2212yescomplemented
87#2668C2214yescomplemented
88#2648C2214yescomplemented
89#2635C2214yescomplemented
90#2629C2212yescomplemented
91#2624C2212yescomplemented
92#2620C2212yescomplemented
93#2615C2212yescomplemented
94#2610C2214yescomplemented
95#2603C2214yescomplemented
96#2602C2214yescomplemented
97#2598C2214yescomplemented
98#2595C2214yescomplemented
99#2578C2214yescomplemented
100#2573C2214yescomplemented
101#2572C2214yescomplemented
102#2559C2214yescomplemented
103#2557C2214yescomplemented
104#2554C2214yescomplemented
105#2554C2214yescomplemented
106#2544C2214yescomplemented
107#2543C2214yescomplemented
108#2539C2214yescomplemented
109#2539C2214yescomplemented
110#2534C2214yescomplemented
111#2526C2214yescomplemented
112#2516C2214yescomplemented
113#2512C2212yescomplemented
114#2511C2212yescomplemented
115#2492C2212yescomplemented
116#2490C2212yescomplemented
117#2485C2212yescomplemented
118#2480C2214yescomplemented
119#2479C2214yescomplemented
120#2477C2214yescomplemented
121#2472C2214yescomplemented
122#2472C2214yescomplemented
123#2471C2214yescomplemented
124#2471C2214yescomplemented
125#2467C2214yescomplemented
126#2464C2214yescomplemented
127#2463C2214yescomplemented
128#2461C2214yescomplemented
129#2461C2214yescomplemented
130#2457C2214yescomplemented
131#2457C2214yescomplemented
132#2456C2214yescomplemented
133#2456C2214yescomplemented
134#2456C2214yescomplemented
135#2455C2214yescomplemented
136#2454C2212yescomplemented
137#2452C2212yescomplemented
138#2450C2214yescomplemented
139#2447C2212yescomplemented
140#2445C2212yescomplemented
141#2445C2214yescomplemented
142#2445C2212yescomplemented
143#2445C2212yescomplemented
144#2441C2212yescomplemented
145#2441C2212yescomplemented
146#2440C2212yescomplemented
147#2440C2212yescomplemented
148#2435C2212yes—
149#2435C2214yescomplemented
150#2433C2212yes—
151#2433C2212yes—
152#2433C2212yes—
153#2433C2214yes—
154#2432C2212yescomplemented
155#2431C2212yes—
156#2431C2214yes—
157#2431C2212yes—
158#2431C2214yescomplemented
159#2431C2212yescomplemented
160#2430C2214yescomplemented
161#2428C2212yescomplemented
162#2428C2214yescomplemented
163#2428C2212yescomplemented
164#2428C2214yescomplemented
165#2428C2212yescomplemented
166#2427C2212yescomplemented
167#2425C2214yescomplemented
168#2424C2214yescomplemented
169#2424C2214yescomplemented
170#2424C2214yescomplemented
171#2424C2214yescomplemented
172#2422C2212yescomplemented
173#2422C2212yescomplemented
174#2418C2214yescomplemented
175#2416C2212yescomplemented
176#2414C2214yescomplemented
177#2414C2212yescomplemented
178#2411C2214yescomplemented
179#2411C2214yescomplemented
180#2411C2214yescomplemented
181#2410C2214yes—
182#2410C2214yescomplemented
183#2408C2212yes—
184#2408C2214yescomplemented
185#2408C2212yescomplemented
186#2408C2212yescomplemented
187#2407C2212yes—
188#2407C2214yescomplemented
189#2407C2212yescomplemented
190#2403C2212yes—
191#2403C2212yes—
192#2403C2212yes—
193#2403C2212yes—
194#2392C2214yescomplemented
195#2388C2214yescomplemented
196#2380C2212yescomplemented
197#2375C2212yescomplemented
198#2372C2211yescharacteristic, complemented
199#2372C2212yescomplemented
200#2372C2211yescharacteristic, complemented
201#2369C2212yescomplemented
202#2368C2214yescomplemented
203#2366C2211yescharacteristic, complemented
204#2366C2211yescharacteristic, complemented
205#2366C2212yescomplemented
206#2363C2212yescomplemented
207#2363C2212yescomplemented
208#2363C2212yescomplemented
209#2363C2212yescomplemented
210#2363C2212yescomplemented
211#2361C2212yescomplemented
212#2359C2214yescomplemented
213#2359C2214yescomplemented
214#2358C2214yescomplemented
215#2358C2212yescomplemented
216#2353C2214yescomplemented
217#2347C2212yescomplemented
218#2339C2212yes—
219#2339C2212yescomplemented
220#2339C2214yescomplemented
221D4×C22⋊C4C2212yes—
222D4×C22⋊C4C2214yes—
223D4×C22⋊C4C2212yescomplemented
224D4×C22⋊C4C2214yescomplemented
225D4×C22⋊C4C2212yescomplemented
226#2337C2214yescomplemented
227#2335C2214yescomplemented
228#2333C2214yescomplemented
229#2324C2212yescomplemented
230#2324C2212yescomplemented
231#2321C2214yescomplemented
232#2311C2211yescharacteristic
233#2311C2211yescharacteristic
234#2311C2211yescharacteristic, complemented
235#2309C2211yescharacteristic
236#2308C2212yes—
237#2308C2212yescomplemented
238C4×#127C2212yescomplemented
239C4×#127C2212yescomplemented
240C4×#121C2212yescomplemented
241C4×#121C2212yescomplemented
242C4×#120C2214yescomplemented
243#2297C2211yescharacteristic
244#2297C2211yescharacteristic
245#2297C2211yescharacteristic
246#2297C2212yescomplemented
247#2297C2211yescharacteristic, complemented
248#2297C2211yescharacteristic, complemented
249#2293C2212yescomplemented
250#2293C2212yescomplemented
251#2293C2212yescomplemented
252#2293C2212yescomplemented
253C2×#390C2211yescharacteristic, complemented
254C2×#386C2212yes—
255C2×#386C2212yescomplemented
256C42×D4C2212yescomplemented
257C42×D4C2212yescomplemented
258C4×#117C2212yescomplemented
259C2×H(5,𝔽2)—28no—
260C2×H(5,𝔽2)—44no—
261C2×H(5,𝔽2)—44no—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2312yes—
266C22×#41C2311yescharacteristic
267C22×#41C2314yes—
268C22×#41C2311yescharacteristic
269C23×D4C2311yescharacteristic
270C23×D4C2311yescharacteristic
271C23×D4C2311yescharacteristic
272C23×D4C2312yes—
273C23×D4C2312yes—
274C23×D4C2312yes—
275C23×D4C2311yescharacteristic
276C23×D4C2312yes—
277C23×D4C2312yes—
278C24×C4C2312yes—
279#551—416no—
280#546—416no—
281#540—48no—
282#537—44no—
283#535—28no—
284#535—44no—
285#535—44no—
286#532—28no—
287#532—48no—
288C2×C4⋊Q8C2311yescharacteristic
289C2×C4⋊Q8C2312yes—
290C2×#127—44no—
291C2×#127C2312yes—
292C2×#127C2312yes—
293C2×#127C2311yescharacteristic
294C2×#127C2312yes—
295C2×#127C2312yes—
296C2×#127C2314yes—
297C2×#127C2312yes—
298C2×#126C2314yes—
299C2×#126C2314yes—
300C2×#125C2312yes—
301C2×#124C2312yes—
302C2×#124C2311yescharacteristic
303C2×#124C2311yescharacteristic
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#124C2312yes—
307C2×#124C2314yes—
308C2×#124C2312yes—
309#525—416no—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#120C2312yes—
346C2×#120C2312yes—
347C2×#120C2314yes—
348C2×#120C2312yes—
349C2×#120C2312yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357#518—44no—
358C2×C4×D4—44no—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2314yes—
390C2×#117C2314yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C22⋊C4C2312yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2314yes—
399C22×C22⋊C4C2314yes—
400C22×C42C2311yescharacteristic
401C22×C42C2312yes—
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#395C2314yes—
435#395C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2314yes—
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2314yes—
503#390C2314yes—
504#390C2312yes—
505#390C2312yes—
506#390C2314yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2314yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2314yes—
516#390C2314yes—
517#390C2314yes—
518#390C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#386C2311yescharacteristic
594#386C2312yes—
595#386C2312yes—
596#386C2312yes—
597#386C2314yes—
598#386C2314yes—
599#386C2311yescharacteristic
600#386C2312yes—
601#386C2312yes—
602#386C2314yes—
603#386C2314yes—
604#386C2312yes—
605#386C2312yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2312yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2311yescharacteristic
632#386C2314yes—
633#386C2311yescharacteristic
634#386C2311yescharacteristic
635#386C2311yescharacteristic
636#386C2312yes—
637#386C2312yes—
638#386C2311yescharacteristic
639#386C2311yescharacteristic
640#386C2312yes—
641#386C2312yes—
642#386C2314yes—
643#386C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#384C2312yes—
661#384C2312yes—
662#383C2314yes—
663#383C2314yes—
664#381C2314yes—
665#381C2314yes—
666#381C2314yes—
667#381C2314yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2314yes—
673#380C2314yes—
674#380C2312yes—
675#380C2314yes—
676#380C2314yes—
677#380C2312yes—
678#379C2314yes—
679#379C2314yes—
680#379C2312yes—
681#379C2312yes—
682#379C2314yes—
683#379C2314yes—
684#379C2314yes—
685#379C2314yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722#376C2312yes—
723#376C2312yes—
724C2×#95C2314yes—
725C2×#95C2314yes—
726C43C2312yes—
727C43C2312yes—
728C25C2412yes—
729C25C2412yes—
730C25C2412yes—
731C25C2412yes—
732H(5,𝔽2)—464no—
733C2×#41—28no—
734C2×#41—24no—
735C2×#41—24no—
736C2×#41—24no—
737C2×#41—24no—
738C2×#41—24no—
739C2×#41—24no—
740C2×#41—42no—
741C2×#41—42no—
742C2×#41—42no—
743C2×#41—42no—
744C2×#41—48no—
745C2×#41—44no—
746C2×#41—44no—
747C2×#41—48no—
748C2×#41—42no—
749C2×#41—42no—
750C2×#41—42no—
751C2×#41—42no—
752C2×#41—48no—
753C2×#41#4118yescomplemented
754C22×Q8C2411yescharacteristic
755C22×Q8C2414yes—
756C22×Q8C2411yescharacteristic
757C22×Q8C2411yescharacteristic
758C22×D4—24no—
759C22×D4—24no—
760C22×D4—28no—
761C22×D4—28no—
762C22×D4—28no—
763C22×D4—24no—
764C22×D4—24no—
765C22×D4—24no—
766C22×D4—24no—
767C22×D4—24no—
768C22×D4—24no—
769C22×D4—42no—
770C22×D4—42no—
771C22×D4—42no—
772C22×D4—42no—
773C22×D4—48no—
774C22×D4—48no—
775C22×D4—44no—
776C22×D4—44no—
777C22×D4—44no—
778C22×D4—44no—
779C22×D4—44no—
780C22×D4—44no—
781C22×D4—44no—
782C22×D4—44no—
783C22×D4C2412yes—
784C22×D4C2412yes—
785C22×D4C2411yescharacteristic
786C22×D4C2412yes—
787C22×D4C2412yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2412yes—
792C22×D4C2412yes—
793C22×D4C2412yes—
794C22×D4C2411yescharacteristic
795C22×D4C2411yescharacteristic
796C22×D4C2414yes—
797C22×D4C2414yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2412yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2412yes—
806C22×D4C2411yescharacteristic
807C22×D4C2412yes—
808C22×D4C2414yes—
809C22×D4C2414yes—
810C22×D4C2414yes—
811C22×D4C2411yescharacteristic
812C22×D4C2411yescharacteristic
813C22×D4C2411yescharacteristic
814C23×C4—48no—
815C23×C4—44no—
816C23×C4C2412yes—
817C23×C4C2412yes—
818C23×C4C2414yes—
819C23×C4C2411yescharacteristic
820C23×C4C2412yes—
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2414yes—
829C23×C4C2414yes—
830C23×C4C2414yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2414yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2414yes—
838C4⋊Q8—24no—
839C4⋊Q8—44no—
840#127—24no—
841#127—28no—
842#127—28no—
843#127—28no—
844#127—44no—
845#127—48no—
846#127—44no—
847#126—48no—
848#126—48no—
849#125—44no—
850#124—24no—
851#124—28no—
852#124—24no—
853#124—48no—
854#124—44no—
855#124—48no—
856#124—48no—
857#124—44no—
858#123—216no—
859#123—216no—
860#123—48no—
861#123—48no—
862#123—48no—
863#123—48no—
864#123—48no—
865#123—48no—
866C22⋊Q8—216no—
867C22⋊Q8—44no—
868C22⋊Q8—48no—
869C22⋊Q8—48no—
870C22⋊Q8—48no—
871C22⋊Q8—44no—
872#121—28no—
873#121—28no—
874#121—28no—
875#121—28no—
876#121—28no—
877#121—28no—
878#121—48no—
879#121—48no—
880#121—48no—
881#121—48no—
882#121—48no—
883#121—48no—
884#121—48no—
885#121—48no—
886#121—48no—
887#121—44no—
888#121—44no—
889#121—44no—
890#121—48no—
891#121—44no—
892#121—48no—
893#120—28no—
894#120—28no—
895#120—48no—
896#120—48no—
897#120—48no—
898#120—48no—
899#120—48no—
900#120—48no—
901#120—48no—
902#120—48no—
903#120—44no—
904#120—44no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—48no—
912C4×D4—48no—
913C4×D4—44no—
914C4×D4—48no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—48no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—48no—
922C4×D4—48no—
923C4×D4—48no—
924C4×D4—48no—
925C4×D4—48no—
926C4×D4—48no—
927#117—24no—
928#117—28no—
929#117—42no—
930#117—42no—
931#117—44no—
932#117—44no—
933#117—48no—
934#117—48no—
935#117—42no—
936#117—42no—
937C2×C4⋊C4—42no—
938C2×C4⋊C4—42no—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C22⋊C4—48no—
973C2×C22⋊C4—48no—
974C2×C22⋊C4—48no—
975C2×C22⋊C4—48no—
976C2×C22⋊C4—44no—
977C2×C22⋊C4—44no—
978C2×C22⋊C4—44no—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C42—24no—
1051C2×C42—42no—
1052C2×C42—42no—
1053C2×C42—44no—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118C24—24no—
1119C24—24no—
1120C24—24no—
1121C24—24no—
1122C24—24no—
1123C24—24no—
1124C24—24no—
1125C24—24no—
1126C24—42no—
1127C24—42no—
1128C24—44no—
1129C24—44no—
1130C24—42no—
1131C24—44no—
1132C24—44no—
1133C24—44no—
1134C24—44no—
1135C24—44no—
1136C24—44no—
1137C24—42no—
1138C24C2512yes—
1139C24C2514yes—
1140C24C2512yes—
1141C24C2511yescharacteristic
1142C24C2511yescharacteristic
1143C24C2511yescharacteristic
1144C24C2512yes—
1145C24C2512yes—
1146#41—416no—
1147#41—416no—
1148#41—416no—
1149#41—416no—
1150#41—432no—
1151#41—88no—
1152#41—832no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—28no—
1158C2×Q8—41no—
1159C2×Q8—41no—
1160C2×Q8—41no—
1161C2×Q8—44no—
1162C2×Q8—41no—
1163C2×Q8—44no—
1164C2×Q8C2×#4114yes—
1165C2×D4—232no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—28no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—28no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—28no—
1180C2×D4—28no—
1181C2×D4—24no—
1182C2×D4—28no—
1183C2×D4—28no—
1184C2×D4—28no—
1185C2×D4—28no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—28no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—28no—
1205C2×D4—28no—
1206C2×D4—28no—
1207C2×D4—416no—
1208C2×D4—416no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—42no—
1218C2×D4—41no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—42no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—42no—
1239C2×D4—41no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—41no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—432no—
1257C2×D4—432no—
1258C2×D4—432no—
1259C2×D4—88no—
1260C2×D4—816no—
1261C2×D4—816no—
1262C2×D4C2×#4114yes—
1263C2×D4C2×#4114yes—
1264C2×D4C2×#4114yes—
1265C2×D4H(5,𝔽2)14yes—
1266C2×D4H(5,𝔽2)14yes—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—28no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—28no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—28no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—28no—
1292C22×C4—28no—
1293C22×C4—24no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—42no—
1298C22×C4—44no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—41no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—816no—
1325C22×C4C2×#4114yes—
1326C22×C4C2×#4114yes—
1327C22×C4C2×#4114yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2514yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2514yes—
1335C22×C4C2514yes—
1336C22×C4C2514yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2514yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—28no—
1358C4⋊C4—28no—
1359C4⋊C4—28no—
1360C4⋊C4—28no—
1361C4⋊C4—24no—
1362C4⋊C4—28no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4H(5,𝔽2)18yescomplemented
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
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—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C42—24no—
1454C42—22no—
1455C42—22no—
1456C42—24no—
1457C42—24no—
1458C42—24no—
1459C42—24no—
1460C42—24no—
1461C42—24no—
1462C42—24no—
1463C42—24no—
1464C42—24no—
1465C42—24no—
1466C42—42no—
1467C42—42no—
1468C42—42no—
1469C42—42no—
1470C42—42no—
1471C42—44no—
1472C42—42no—
1473C42—44no—
1474C42—42no—
1475C42—42no—
1476C42—42no—
1477C23—216no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—24no—
1482C23—22no—
1483C23—22no—
1484C23—24no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—22no—
1489C23—22no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—22no—
1494C23—24no—
1495C23—22no—
1496C23—24no—
1497C23—22no—
1498C23—22no—
1499C23—24no—
1500C23—22no—
1501C23—24no—
1502C23—24no—
1503C23—24no—
1504C23—22no—
1505C23—22no—
1506C23—24no—
1507C23—22no—
1508C23—22no—
1509C23—24no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—24no—
1514C23—22no—
1515C23—24no—
1516C23—24no—
1517C23—48no—
1518C23—48no—
1519C23—84no—
1520C23—88no—
1521C23—84no—
1522C23—88no—
1523C23—84no—
1524C23—84no—
1525C23—84no—
1526C23—88no—
1527C23—88no—
1528C23—88no—
1529C23—88no—
1530C23—84no—
1531C23—84no—
1532C23—162no—
1533C23—164no—
1534C23—164no—
1535C23—162no—
1536C23C22×#4112yes—
1537C23C22×#4112yes—
1538C23C22×#4112yes—
1539C23C2×H(5,𝔽2)14yes—
1540C23C2×H(5,𝔽2)14yes—
1541C23C2611yescharacteristic
1542Q8—44no—
1543Q8—44no—
1544Q8—88no—
1545Q8—82no—
1546D4—216no—
1547D4—28no—
1548D4—28no—
1549D4—44no—
1550D4—44no—
1551D4—44no—
1552D4—48no—
1553D4—48no—
1554D4—48no—
1555D4—48no—
1556D4—416no—
1557D4—416no—
1558D4—48no—
1559D4—48no—
1560D4—48no—
1561D4—44no—
1562D4—48no—
1563D4—88no—
1564D4—88no—
1565D4—84no—
1566D4—82no—
1567D4—88no—
1568D4—88no—
1569D4—88no—
1570D4—88no—
1571D4—88no—
1572D4—88no—
1573D4—84no—
1574D4—88no—
1575D4—164no—
1576D4—164no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—28no—
1592C2×C4—28no—
1593C2×C4—28no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—24no—
1632C2×C4—24no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—44no—
1636C2×C4—48no—
1637C2×C4—48no—
1638C2×C4—416no—
1639C2×C4—48no—
1640C2×C4—48no—
1641C2×C4—48no—
1642C2×C4—48no—
1643C2×C4—84no—
1644C2×C4—88no—
1645C2×C4—88no—
1646C2×C4—88no—
1647C2×C4—82no—
1648C2×C4—84no—
1649C2×C4—162no—
1650C2×C4—164no—
1651C2×C4—164no—
1652C2×C4C22×#4112yes—
1653C2×C4C22×#4112yes—
1654C2×C4C22×#4112yes—
1655C2×C4C22×#4112yes—
1656C2×C4C2×H(5,𝔽2)14yes—
1657C2×C4C2×H(5,𝔽2)14yes—
1658C2×C4C2×H(5,𝔽2)14yes—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4#58514yes—
1662C22—24no—
1663C22—28no—
1664C22—24no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—24no—
1669C22—24no—
1670C22—24no—
1671C22—24no—
1672C22—24no—
1673C22—41no—
1674C22—41no—
1675C22—42no—
1676C22—41no—
1677C22—44no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—41no—
1682C22—41no—
1683C22—42no—
1684C22—41no—
1685C22—44no—
1686C22—44no—
1687C22—42no—
1688C22—44no—
1689C22—42no—
1690C22—44no—
1691C22—42no—
1692C22—44no—
1693C22—42no—
1694C22—44no—
1695C22—42no—
1696C22—44no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—44no—
1701C22—42no—
1702C22—42no—
1703C22—44no—
1704C22—44no—
1705C22—44no—
1706C22—816no—
1707C22—168no—
1708C22—168no—
1709C22—168no—
1710C22C23×#4111yescharacteristic
1711C22C22×H(5,𝔽2)12yes—
1712C22C22×H(5,𝔽2)11yescharacteristic
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22C2×#58512yes—
1715C4—24no—
1716C4—24no—
1717C4—24no—
1718C4—22no—
1719C4—22no—
1720C4—22no—
1721C4—24no—
1722C4—44no—
1723C4—44no—
1724C4—42no—
1725C4—44no—
1726C4—42no—
1727C4—44no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4—44no—
1735C4#349014yes—
1736C2—42no—
1737C2—44no—
1738C2—44no—
1739C2—42no—
1740C2—42no—
1741C2—82no—
1742C2—84no—
1743C2—82no—
1744C2C2×#349011yescharacteristic
1745C2#6280012yes—
1746C2#6301111yescharacteristic
1747C2#6301412yes—
1748C2#6301711yescharacteristic
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. #59370C2semidirect
2. #59045C2semidirect
3. #58992C2semidirect
4. #48922C2semidirect
5. #48143C2semidirect
6. #48081C2semidirect
7. #44158C2semidirect
8. #44075C2semidirect
9. #43363C2semidirect
10. #43109C2semidirect
11. #39434C2semidirect
12. #39416C2semidirect
13. #38202C2semidirect
14. #37780C2semidirect
15. #37343C2semidirect
16. #37307C2semidirect
17. #37273C2semidirect
18. #36368C2semidirect
19. #36366C2semidirect
20. #36264C2semidirect
21. #36121C2semidirect
22. #35538C2semidirect
23. #35527C2semidirect
24. #35513C2semidirect
25. #35038C2semidirect
26. #34681C2semidirect
27. #34411C2semidirect
28. #34256C2semidirect
29. #34155C2semidirect
31. C2×#551C22semidirect
32. C2×#546C22semidirect
33. C2×#540C22semidirect
34. C2×#537C22semidirect
37. C2×#535C22semidirect
39. C2×#532C22semidirect
41. C2×#525C22semidirect
42. C2×#518C22semidirect
43. C22×C4×D4C22semidirect
44. #2863C22semidirect
45. #2861C22semidirect
46. #2860C22semidirect
47. #2858C22semidirect
48. #2857C22semidirect
49. #2856C22semidirect
50. #2855C22semidirect
51. #2854C22semidirect
52. #2806C22semidirect
53. #2780C22semidirect
54. #2757C22semidirect
55. #2756C22semidirect
56. #2756C22semidirect
57. #2749C22semidirect
58. #2748C22semidirect
59. #2748C22semidirect
60. #2735C22semidirect
61. #2733C22semidirect
62. #2732C22semidirect
63. #2731C22semidirect
64. #2730C22semidirect
65. #2715C22semidirect
66. #2714C22semidirect
67. #2710C22semidirect
68. #2701C22semidirect
69. #2700C22semidirect
70. #2699C22semidirect
71. #2699C22semidirect
72. #2697C22semidirect
73. #2688C22semidirect
74. #2686C22semidirect
75. #2685C22semidirect
76. #2684C22semidirect
77. #2683C22semidirect
78. #2683C22semidirect
79. #2678C22semidirect
80. #2678C22semidirect
81. #2678C22semidirect
82. #2676C22semidirect
83. #2676C22semidirect
84. #2673C22semidirect
85. #2673C22semidirect
86. #2669C22semidirect
87. #2668C22semidirect
88. #2648C22semidirect
89. #2635C22semidirect
90. #2629C22semidirect
91. #2624C22semidirect
92. #2620C22semidirect
93. #2615C22semidirect
94. #2610C22semidirect
95. #2603C22semidirect
96. #2602C22semidirect
97. #2598C22semidirect
98. #2595C22semidirect
99. #2578C22semidirect
100. #2573C22semidirect
101. #2572C22semidirect
102. #2559C22semidirect
103. #2557C22semidirect
104. #2554C22semidirect
105. #2554C22semidirect
106. #2544C22semidirect
107. #2543C22semidirect
108. #2539C22semidirect
109. #2539C22semidirect
110. #2534C22semidirect
111. #2526C22semidirect
112. #2516C22semidirect
113. #2512C22semidirect
114. #2511C22semidirect
115. #2492C22semidirect
116. #2490C22semidirect
117. #2485C22semidirect
118. #2480C22semidirect
119. #2479C22semidirect
120. #2477C22semidirect
121. #2472C22semidirect
122. #2472C22semidirect
123. #2471C22semidirect
124. #2471C22semidirect
125. #2467C22semidirect
126. #2464C22semidirect
127. #2463C22semidirect
128. #2461C22semidirect
129. #2461C22semidirect
130. #2457C22semidirect
131. #2457C22semidirect
132. #2456C22semidirect
133. #2456C22semidirect
134. #2456C22semidirect
135. #2455C22semidirect
136. #2454C22semidirect
137. #2452C22semidirect
138. #2450C22semidirect
139. #2447C22semidirect
140. #2445C22semidirect
141. #2445C22semidirect
142. #2445C22semidirect
143. #2445C22semidirect
144. #2441C22semidirect
145. #2441C22semidirect
146. #2440C22semidirect
147. #2440C22semidirect
149. #2435C22semidirect
154. #2432C22semidirect
158. #2431C22semidirect
159. #2431C22semidirect
160. #2430C22semidirect
161. #2428C22semidirect
162. #2428C22semidirect
163. #2428C22semidirect
164. #2428C22semidirect
165. #2428C22semidirect
166. #2427C22semidirect
167. #2425C22semidirect
168. #2424C22semidirect
169. #2424C22semidirect
170. #2424C22semidirect
171. #2424C22semidirect
172. #2422C22semidirect
173. #2422C22semidirect
174. #2418C22semidirect
175. #2416C22semidirect
176. #2414C22semidirect
177. #2414C22semidirect
178. #2411C22semidirect
179. #2411C22semidirect
180. #2411C22semidirect
182. #2410C22semidirect
184. #2408C22semidirect
185. #2408C22semidirect
186. #2408C22semidirect
188. #2407C22semidirect
189. #2407C22semidirect
194. #2392C22semidirect
195. #2388C22semidirect
196. #2380C22semidirect
197. #2375C22semidirect
198. #2372C22semidirect
199. #2372C22semidirect
200. #2372C22semidirect
201. #2369C22semidirect
202. #2368C22semidirect
203. #2366C22semidirect
204. #2366C22semidirect
205. #2366C22semidirect
206. #2363C22semidirect
207. #2363C22semidirect
208. #2363C22semidirect
209. #2363C22semidirect
210. #2363C22semidirect
211. #2361C22semidirect
212. #2359C22semidirect
213. #2359C22semidirect
214. #2358C22semidirect
215. #2358C22semidirect
216. #2353C22semidirect
217. #2347C22semidirect
219. #2339C22semidirect
220. #2339C22semidirect
223. D4×C22⋊C4C22semidirect
224. D4×C22⋊C4C22semidirect
225. D4×C22⋊C4C22semidirect
226. #2337C22semidirect
227. #2335C22semidirect
228. #2333C22semidirect
229. #2324C22semidirect
230. #2324C22semidirect
231. #2321C22semidirect
234. #2311C22semidirect
237. #2308C22semidirect
238. C4×#127C22semidirect
239. C4×#127C22semidirect
240. C4×#121C22semidirect
241. C4×#121C22semidirect
242. C4×#120C22semidirect
246. #2297C22semidirect
247. #2297C22semidirect
248. #2297C22semidirect
249. #2293C22semidirect
250. #2293C22semidirect
251. #2293C22semidirect
252. #2293C22semidirect
253. C2×#390C22semidirect
255. C2×#386C22semidirect
256. C42×D4C22semidirect
257. C42×D4C22semidirect
258. C4×#117C22semidirect
753. C2×#41#41semidirect
1381. C4⋊C4H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
#593702
#590452
#589922
#489222
#481432
#480812
#441582
#440752
#433632
#431092
#394342
#394162
#382022
#377802
#373432
#373072
#372732
#363682
#363662
#362642
#361212
#355382
#355272
#355132
#350382
#346812
#344112
#342562
#341552