Finite Group Databasebeta

← #7720066

Subgroups — #7720066

Order 512.

6931 conjugacy classes of subgroups.

The subgroup lattice has 1957 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3552C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#50687C214yesmaximal, complemented
4#50686C214yesmaximal, complemented
5#50637C214yesmaximal, complemented
6#50636C214yesmaximal, complemented
7#45417C212yesmaximal, complemented
8#45386C212yesmaximal, complemented
9#45333C212yesmaximal, complemented
10#45303C212yesmaximal, complemented
11#45272C212yesmaximal, complemented
12#45207C212yesmaximal, complemented
13#45159C212yesmaximal, complemented
14#45135C212yesmaximal, complemented
15#39343C212yesmaximal, complemented
16#39343C211yesmaximal, characteristic, complemented
17#39340C211yesmaximal, characteristic, complemented
18#39335C212yesmaximal, complemented
19#39139C211yesmaximal, characteristic, complemented
20#39136C211yesmaximal, characteristic, complemented
21#38035C212yesmaximal, complemented
22#38027C212yesmaximal, complemented
23#37379C212yesmaximal, complemented
24#37378C212yesmaximal, complemented
25#36579C211yesmaximal, characteristic, complemented
26#36577C211yesmaximal, characteristic, complemented
27#36404C211yesmaximal, characteristic, complemented
28#36274C211yesmaximal, characteristic, complemented
29#35316C211yesmaximal, characteristic, complemented
30#35309C212yesmaximal, complemented
31#35308C212yesmaximal, complemented
32#35279C211yesmaximal, characteristic, complemented
33#35189C211yesmaximal, characteristic, complemented
34#34614C211yesmaximal, characteristic, complemented
35#34383C211yesmaximal, characteristic, complemented
36#3552—216no—
37C2×#563C2214yes—
38#3480—216no—
39C2×#559C2211yescharacteristic
40C2×#559C2212yes—
41C2×#557C2211yescharacteristic
42C2×#557C2211yescharacteristic
43C2×#556C2211yescharacteristic
44C2×#556C2211yescharacteristic
45C2×#556C2212yes—
46C2×#554C2212yes—
47C2×#553C2212yes—
48C2×#553C2211yescharacteristic
49C2×#553C2211yescharacteristic
50C2×#553C2212yes—
51C2×#553C2212yes—
52C2×#550C2211yescharacteristic
53C2×D4×Q8C2212yes—
54C2×D4×Q8C2211yescharacteristic
55C2×#548C2212yes—
56C2×#548C2211yescharacteristic
57C2×#548C2211yescharacteristic
58C2×#547C2211yescharacteristic
59C2×#544C2212yes—
60C2×#542C2212yes—
61C2×#541C2212yes—
62C2×#539C2214yes—
63C2×#537C2212yes—
64C2×#536C2212yes—
65C2×#536C2212yes—
66C2×#536C2212yes—
67C2×#532C2212yes—
68C2×#532C2211yescharacteristic
69C22×C4⋊Q8C2211yescharacteristic
70C2×#529C2212yes—
71C2×#529C2211yescharacteristic
72C2×#529C2212yes—
73C2×#529C2211yescharacteristic
74C2×#529C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2211yescharacteristic
78C2×C4×#41C2212yes—
79C22×C4×Q8C2211yescharacteristic
80#2857C2212yes—
81#2857C2212yes—
82#2857C2211yescharacteristic
83#2857C2211yescharacteristic
84#2857C2212yes—
85#2857C2211yescharacteristic
86#2857C2211yescharacteristic
87#2855C2212yes—
88#2855C2212yes—
89#2851C2212yes—
90#2850C2212yes—
91#2850C2212yes—
92#2727C2214yes—
93#2726C2214yes—
94#2725C2214yes—
95#2723C2214yes—
96#2722C2214yes—
97#2721C2214yes—
98#2720C2214yes—
99#2718C2214yes—
100#2716C2214yes—
101#2715C2214yes—
102#2713C2214yes—
103#2710C2214yes—
104#2710C2214yes—
105#2707C2214yes—
106#2706C2214yes—
107#2705C2214yes—
108#2704C2214yes—
109#2703C2214yes—
110#2701C2214yes—
111#2700C2214yes—
112#2700C2214yes—
113#2699C2214yes—
114#2698C2214yes—
115#2696C2214yes—
116#2695C2214yes—
117#2694C2214yes—
118#2692C2214yes—
119#2691C2214yes—
120#2677C2214yes—
121#2676C2214yes—
122#2674C2214yes—
123#2674C2214yes—
124#2674C2214yes—
125#2673C2214yes—
126#2672C2214yes—
127#2672C2214yes—
128#2672C2214yes—
129#2672C2214yes—
130#2671C2214yes—
131#2671C2214yes—
132#2637C2212yes—
133#2636C2212yes—
134#2630C2212yes—
135#2630C2212yes—
136#2630C2214yes—
137#2629C2211yescharacteristic
138#2629C2211yescharacteristic
139#2628C2214yes—
140#2625C2211yescharacteristic
141#2624C2211yescharacteristic
142#2621C2212yes—
143#2621C2212yes—
144#2621C2212yes—
145#2620C2211yescharacteristic
146#2620C2211yescharacteristic
147#2620C2212yes—
148#2616C2211yescharacteristic
149#2616C2212yes—
150#2616C2212yes—
151#2615C2211yescharacteristic
152#2601C2214yes—
153#2592C2212yes—
154#2582C2212yes—
155#2582C2211yescharacteristic
156#2581C2212yes—
157#2568C2212yes—
158#2568C2211yescharacteristic
159#2568C2211yescharacteristic
160#2567C2212yes—
161#2563C2212yes—
162#2560C2214yes—
163#2556C2214yes—
164#2555C2214yes—
165#2552C2212yes—
166#2551C2212yes—
167#2551C2214yes—
168#2549C2214yes—
169#2547C2212yes—
170#2547C2212yes—
171#2546C2212yes—
172#2546C2212yes—
173#2542C2212yes—
174#2542C2211yescharacteristic
175#2542C2211yescharacteristic
176#2540C2212yes—
177#2538C2212yes—
178#2538C2212yes—
179#2538C2211yescharacteristic
180#2538C2211yescharacteristic
181#2537C2212yes—
182#2537C2211yescharacteristic
183#2536C2212yes—
184#2491C2212yes—
185#2491C2214yes—
186#2491C2214yes—
187#2490C2212yes—
188#2488C2214yes—
189#2487C2214yes—
190#2486C2212yes—
191#2486C2212yes—
192#2486C2212yes—
193#2486C2212yes—
194#2485C2212yes—
195#2481C2214yes—
196#2470C2214yes—
197#2469C2214yes—
198#2468C2214yes—
199#2468C2214yes—
200#2466C2214yes—
201#2466C2214yes—
202#2466C2214yes—
203#2464C2214yes—
204#2462C2214yes—
205#2462C2214yes—
206#2461C2214yes—
207#2460C2214yes—
208#2460C2214yes—
209#2459C2214yes—
210#2457C2214yes—
211#2453C2212yes—
212#2453C2214yes—
213#2451C2212yes—
214#2450C2214yes—
215#2448C2212yes—
216#2445C2212yes—
217#2445C2214yes—
218#2444C2214yes—
219#2442C2212yes—
220#2442C2214yes—
221#2441C2212yes—
222#2440C2212yes—
223#2439C2212yes—
224#2438C2214yes—
225#2429C2214yes—
226#2429C2214yes—
227#2428C2212yes—
228#2427C2214yes—
229#2427C2214yes—
230#2426C2212yes—
231#2425C2214yes—
232#2425C2214yes—
233#2425C2214yes—
234#2425C2214yes—
235#2423C2212yes—
236#2422C2214yes—
237#2422C2212yes—
238#2421C2212yes—
239#2420C2212yes—
240#2419C2214yes—
241#2417C2212yes—
242#2417C2212yes—
243#2416C2212yes—
244#2415C2212yes—
245#2415C2212yes—
246#2415C2212yes—
247#2414C2212yes—
248#2414C2212yes—
249#2409C2212yes—
250#2409C2212yes—
251#2409C2212yes—
252#2409C2212yes—
253#2409C2212yes—
254#2407C2212yes—
255#2407C2212yes—
256#2407C2212yes—
257#2407C2212yes—
258#2396C2212yes—
259#2392C2212yes—
260#2392C2212yes—
261#2392C2212yes—
262#2376C2214yes—
263#2370C2212yes—
264#2367C2212yes—
265#2362C2212yes—
266#2360C2212yes—
267#2355C2211yescharacteristic
268#2354C2211yescharacteristic
269#2354C2212yes—
270#2352C2212yes—
271#2352C2212yes—
272#2352C2212yes—
273#2351C2212yes—
274Q8×C4⋊C4C2211yescharacteristic
275#2349C2212yes—
276D4×C4⋊C4C2211yescharacteristic
277Q8×C22⋊C4C2212yes—
278#2339C2212yes—
279#2334C2214yes—
280#2324C2212yes—
281#2324C2212yes—
282#2323C2212yes—
283#2323C2212yes—
284#2323C2212yes—
285#2323C2212yes—
286#2317C2212yes—
287#2317C2212yes—
288#2314C2212yes—
289#2311C2212yes—
290#2310C2212yes—
291C4×C22⋊Q8C2211yescharacteristic
292C4×C22⋊Q8C2211yescharacteristic
293C4×C22⋊Q8C2212yes—
294C4×C22⋊Q8C2212yes—
295C4×#121C2211yescharacteristic
296C4×#121C2211yescharacteristic
297#2297C2212yes—
298C2×#391C2212yes—
299#2285C2211yescharacteristic
300#2285C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C23×Q8C2311yescharacteristic
307C23×Q8C2312yes—
308C23×Q8C2312yes—
309#563—232no—
310#559—28no—
311#559—216no—
312#557—28no—
313#557—28no—
314#556—216no—
315#556—28no—
316#556—28no—
317#554—216no—
318#553—216no—
319#553—28no—
320#553—216no—
321#553—28no—
322#553—216no—
323#550—28no—
324D4×Q8—216no—
325D4×Q8—28no—
326#548—28no—
327#548—28no—
328#548—216no—
329#547—28no—
330#544—216no—
331#542—216no—
332#541—216no—
333#539—232no—
334#537—48no—
335#536—216no—
336#536—48no—
337#536—48no—
338#532—216no—
339#532—28no—
340C2×C4⋊Q8—28no—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2314yes—
351C2×C4⋊Q8C2314yes—
352C2×C4⋊Q8C2314yes—
353C2×#127C2312yes—
354C2×#127C2311yescharacteristic
355#529—28no—
356#529—216no—
357#529—216no—
358#529—28no—
359#529D4116yescomplemented
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2314yes—
367C2×#126C2314yes—
368C2×#126C2314yes—
369C2×#126C2312yes—
370C2×#125C2311yescharacteristic
371C2×#125C2311yescharacteristic
372C2×#125C2312yes—
373C2×#125C2312yes—
374C2×#125C2314yes—
375C2×#125C2314yes—
376C2×#125C2314yes—
377C2×#125C2312yes—
378C2×#125C2311yescharacteristic
379C2×#124C2312yes—
380C2×#124C2311yescharacteristic
381C2×#124C2311yescharacteristic
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2314yes—
388C2×#124C2314yes—
389C2×#124C2314yes—
390C2×#124C2311yescharacteristic
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×#123C2314yes—
402C2×#123C2314yes—
403C2×#123C2314yes—
404C2×#123C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2314yes—
421C2×C22⋊Q8C2314yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2314yes—
431C2×C22⋊Q8C2311yescharacteristic
432C2×#121C2311yescharacteristic
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2314yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2311yescharacteristic
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2311yescharacteristic
449C2×#121C2314yes—
450C2×#121C2314yes—
451C2×#121C2314yes—
452C2×#121C2311yescharacteristic
453C4×#41—28no—
454C4×#41—216no—
455C4×#41—28no—
456C4×#41—28no—
457C2×C4×Q8—28no—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2312yes—
474C2×C4×Q8C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2314yes—
500C2×C4×D4C2314yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2312yes—
506C2×#117C2311yescharacteristic
507C2×#117C2311yescharacteristic
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2311yescharacteristic
512C2×#117C2312yes—
513C2×#117C2311yescharacteristic
514C2×#117C2311yescharacteristic
515C2×#117C2312yes—
516C2×#117C2312yes—
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2312yes—
520C22×C4⋊C4C2312yes—
521C22×C4⋊C4C2311yescharacteristic
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2312yes—
524C22×C4⋊C4C2312yes—
525C22×C4⋊C4C2312yes—
526C22×C42C2312yes—
527C22×C42C2312yes—
528C22×C42C2312yes—
529C22×C42C2311yescharacteristic
530C22×C42C2311yescharacteristic
531C22×C42C2311yescharacteristic
532#400C2314yes—
533#400C2314yes—
534#400C2314yes—
535#400C2314yes—
536#400C2314yes—
537#400C2312yes—
538#399C2312yes—
539#399C2314yes—
540#399C2314yes—
541#399C2314yes—
542#399C2314yes—
543#399C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2314yes—
559#398C2314yes—
560#398C2314yes—
561#397C2312yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#397C2314yes—
569#397C2312yes—
570#397C2312yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2314yes—
581#396C2314yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2314yes—
590#395C2314yes—
591#395C2314yes—
592#395C2314yes—
593#395C2312yes—
594#395C2314yes—
595#395C2314yes—
596#395C2314yes—
597#395C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2312yes—
601#394C2312yes—
602#394C2312yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2314yes—
614#394C2312yes—
615#394C2312yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#393C2314yes—
624#393C2314yes—
625#393C2314yes—
626#393C2312yes—
627#393C2314yes—
628#393C2314yes—
629#392C2312yes—
630#392C2312yes—
631#392C2312yes—
632#392C2314yes—
633#392C2314yes—
634#392C2314yes—
635#392C2314yes—
636#391C2314yes—
637#391C2312yes—
638#391C2312yes—
639#391C2312yes—
640#391C2312yes—
641#391C2314yes—
642#391C2312yes—
643#391C2312yes—
644#391C2312yes—
645#391C2311yescharacteristic
646#391C2312yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2314yes—
651#391C2312yes—
652#391C2312yes—
653#391C2314yes—
654#391C2311yescharacteristic
655#391C2314yes—
656#391C2314yes—
657#390C2314yes—
658#390C2312yes—
659#390C2312yes—
660#390C2312yes—
661#390C2314yes—
662#390C2312yes—
663#390C2311yescharacteristic
664#390C2312yes—
665#390C2311yescharacteristic
666#390C2314yes—
667#390C2314yes—
668#390C2314yes—
669#390C2314yes—
670#389C2314yes—
671#389C2314yes—
672#389C2314yes—
673#389C2314yes—
674#389C2314yes—
675#389C2314yes—
676#389C2311yescharacteristic
677#389C2311yescharacteristic
678#389C2314yes—
679#389C2312yes—
680#389C2312yes—
681#389C2314yes—
682#389C2314yes—
683#389C2312yes—
684#389C2312yes—
685#389C2311yescharacteristic
686#389C2312yes—
687#389C2312yes—
688#389C2311yescharacteristic
689#389C2314yes—
690#389C2314yes—
691#389C2312yes—
692#389C2314yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2314yes—
699#389C2312yes—
700#389C2312yes—
701#389C2314yes—
702#389C2314yes—
703#389C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2312yes—
725#388C2312yes—
726#388C2314yes—
727#388C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2312yes—
743#387C2312yes—
744#387C2314yes—
745#387C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2312yes—
758#386C2312yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2312yes—
775#385C2312yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#384C2312yes—
781#384C2312yes—
782#384C2311yescharacteristic
783#384C2311yescharacteristic
784#384C2312yes—
785#384C2311yescharacteristic
786#384C2311yescharacteristic
787#384C2314yes—
788#382C2312yes—
789#382C2312yes—
790#382C2314yes—
791#382C2312yes—
792#382C2312yes—
793#382C2312yes—
794#381C2314yes—
795#381C2314yes—
796#381C2314yes—
797#381C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2314yes—
801#380C2314yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2314yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2314yes—
817#380C2312yes—
818#380C2312yes—
819#380C2314yes—
820#380C2311yescharacteristic
821#380C2311yescharacteristic
822#380C2311yescharacteristic
823#380C2311yescharacteristic
824#380C2311yescharacteristic
825#380C2311yescharacteristic
826#380C2312yes—
827#380C2312yes—
828#380C2314yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2314yes—
842C4×C4⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2314yes—
851C4×C22⋊C4C2312yes—
852C2×#95C2314yes—
853C2×#95C2314yes—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—28no—
861C2×#41—24no—
862C2×#41—28no—
863C2×#41—42no—
864C2×#41—44no—
865C2×#41—42no—
866C2×#41—42no—
867C2×#41—44no—
868C2×#41—44no—
869C22×Q8—24no—
870C22×Q8—24no—
871C22×Q8—28no—
872C22×Q8—28no—
873C22×Q8—42no—
874C22×Q8—44no—
875C22×Q8—44no—
876C22×Q8—44no—
877C22×Q8—44no—
878C22×Q8C2412yes—
879C22×Q8C2411yescharacteristic
880C22×Q8C2412yes—
881C22×Q8C2412yes—
882C22×Q8C2412yes—
883C22×Q8C2411yescharacteristic
884C22×Q8C2411yescharacteristic
885C22×Q8C2411yescharacteristic
886C22×Q8C2414yes—
887C22×Q8C2414yes—
888C22×D4C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2411yescharacteristic
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2411yescharacteristic
898C22×D4C2411yescharacteristic
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2412yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C23×C4C2414yes—
922C23×C4C2414yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2411yescharacteristic
926C23×C4C2414yes—
927C23×C4C2414yes—
928C23×C4C2411yescharacteristic
929C4⋊Q8—28no—
930C4⋊Q8—24no—
931C4⋊Q8—28no—
932C4⋊Q8—216no—
933C4⋊Q8—28no—
934C4⋊Q8—28no—
935C4⋊Q8—24no—
936C4⋊Q8—24no—
937C4⋊Q8—28no—
938C4⋊Q8—28no—
939C4⋊Q8—48no—
940C4⋊Q8—48no—
941#127—28no—
942#127—24no—
943#126—28no—
944#126—28no—
945#126—28no—
946#126—216no—
947#126—28no—
948#126—28no—
949#126—216no—
950#126—216no—
951#126—28no—
952#126C2×D4116yes—
953#125—28no—
954#125—28no—
955#125—24no—
956#125—216no—
957#125—216no—
958#125—216no—
959#125—28no—
960#125—24no—
961#125C2×D418yes—
962#124—24no—
963#124—28no—
964#124—28no—
965#124—28no—
966#124—28no—
967#124—28no—
968#124—216no—
969#124—24no—
970#124—28no—
971#124—48no—
972#124—48no—
973#124C2×D418yes—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—28no—
980#123—216no—
981#123—216no—
982#123—216no—
983#123—48no—
984#123—48no—
985#123—48no—
986#123—48no—
987#123C2×D4116yes—
988C22⋊Q8—24no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—24no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—28no—
995C22⋊Q8—24no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—216no—
999C22⋊Q8—216no—
1000C22⋊Q8—216no—
1001C22⋊Q8—28no—
1002C22⋊Q8—216no—
1003C22⋊Q8—216no—
1004C22⋊Q8—216no—
1005C22⋊Q8—48no—
1006C22⋊Q8—44no—
1007C22⋊Q8—42no—
1008C22⋊Q8—44no—
1009C22⋊Q8—44no—
1010C22⋊Q8—44no—
1011C22⋊Q8—44no—
1012C22⋊Q8—44no—
1013C22⋊Q8—44no—
1014C22⋊Q8C2×D418yes—
1015#121—28no—
1016#121—24no—
1017#121—28no—
1018#121—216no—
1019#121—28no—
1020#121—24no—
1021#121—24no—
1022#121—24no—
1023#121—24no—
1024#121—28no—
1025#121—28no—
1026#121—28no—
1027#121—28no—
1028#121—28no—
1029#121—48no—
1030#121—48no—
1031#121—48no—
1032#121—44no—
1033#121—42no—
1034#121—44no—
1035#121C2×D418yes—
1036C4×Q8—24no—
1037C4×Q8—28no—
1038C4×Q8—24no—
1039C4×Q8—28no—
1040C4×Q8—24no—
1041C4×Q8—28no—
1042C4×Q8—28no—
1043C4×Q8—24no—
1044C4×Q8—28no—
1045C4×Q8—24no—
1046C4×Q8—24no—
1047C4×Q8—24no—
1048C4×Q8—24no—
1049C4×Q8—28no—
1050C4×Q8—28no—
1051C4×Q8—44no—
1052C4×Q8C2×D418yes—
1053C4×D4—24no—
1054C4×D4—216no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—24no—
1061C4×D4—28no—
1062C4×D4—24no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—216no—
1073C4×D4—24no—
1074C4×D4—24no—
1075C4×D4—24no—
1076C4×D4—24no—
1077C4×D4—28no—
1078C4×D4—24no—
1079C4×D4—44no—
1080C4×D4—44no—
1081C4×D4—44no—
1082C4×D4C2×D418yes—
1083C4×D4C2×D4116yes—
1084#117—24no—
1085#117—24no—
1086#117—24no—
1087#117—28no—
1088#117—28no—
1089#117—24no—
1090#117—28no—
1091#117—24no—
1092#117—28no—
1093#117—28no—
1094#117—44no—
1095#117—44no—
1096#117—44no—
1097#117C2×D4116yes—
1098C2×C4⋊C4—28no—
1099C2×C4⋊C4—28no—
1100C2×C4⋊C4—28no—
1101C2×C4⋊C4—24no—
1102C2×C4⋊C4—28no—
1103C2×C4⋊C4—44no—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2411yescharacteristic
1175C2×C4⋊C4C2411yescharacteristic
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2412yes—
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C42—28no—
1244C2×C42—28no—
1245C2×C42—24no—
1246C2×C42—24no—
1247C2×C42—28no—
1248C2×C42C2×D418yes—
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2414yes—
1257C2×C42C2412yes—
1258C2×C42C2411yescharacteristic
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263C2×C42C2411yescharacteristic
1264C2×C42C2411yescharacteristic
1265C2×C42C2412yes—
1266C2×C42C2414yes—
1267C2×C42C2414yes—
1268C2×C42C2414yes—
1269C2×C42C2414yes—
1270C2×C42C2414yes—
1271C2×C42C2411yescharacteristic
1272C2×C42C2412yes—
1273C2×C42C2411yescharacteristic
1274C2×C42C2411yescharacteristic
1275C2×C42C2411yescharacteristic
1276#95C2412yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2412yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322C24C2512yes—
1323C24C2511yescharacteristic
1324C24C2512yes—
1325C24C2511yescharacteristic
1326C24C2512yes—
1327C24C2511yescharacteristic
1328#41—416no—
1329#41—432no—
1330#41—416no—
1331#41—416no—
1332#41—816no—
1333C2×Q8—22no—
1334C2×Q8—24no—
1335C2×Q8—24no—
1336C2×Q8—22no—
1337C2×Q8—22no—
1338C2×Q8—24no—
1339C2×Q8—24no—
1340C2×Q8—28no—
1341C2×Q8—28no—
1342C2×Q8—24no—
1343C2×Q8—22no—
1344C2×Q8—24no—
1345C2×Q8—24no—
1346C2×Q8—22no—
1347C2×Q8—22no—
1348C2×Q8—24no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—24no—
1352C2×Q8—22no—
1353C2×Q8—24no—
1354C2×Q8—42no—
1355C2×Q8—42no—
1356C2×Q8—41no—
1357C2×Q8—44no—
1358C2×Q8—44no—
1359C2×Q8—44no—
1360C2×Q8—44no—
1361C2×Q8—416no—
1362C2×Q8—816no—
1363C2×Q8—816no—
1364C2×Q8C22×D414yes—
1365C2×Q82−1+414yes—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—22no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—24no—
1378C2×D4—28no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—22no—
1384C2×D4—24no—
1385C2×D4—22no—
1386C2×D4—24no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—41no—
1401C2×D4—42no—
1402C2×D4—41no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—41no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—44no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4C22×D414yes—
1422C2×D4C22×D418yes—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—24no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—28no—
1434C22×C4—28no—
1435C22×C4—24no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—22no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—22no—
1457C22×C4—24no—
1458C22×C4—22no—
1459C22×C4—28no—
1460C22×C4—41no—
1461C22×C4—41no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—42no—
1469C22×C4—41no—
1470C22×C4—42no—
1471C22×C4—41no—
1472C22×C4—42no—
1473C22×C4—41no—
1474C22×C4—41no—
1475C22×C4—42no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4C22×D418yes—
1485C22×C4C22×D414yes—
1486C22×C4C22×D414yes—
1487C22×C4C22×D414yes—
1488C22×C4H(5,𝔽2)14yes—
1489C22×C4C2512yes—
1490C22×C4C2512yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2512yes—
1494C22×C4C2514yes—
1495C22×C4C2512yes—
1496C22×C4C2511yescharacteristic
1497C22×C4C2514yes—
1498C22×C4C2511yescharacteristic
1499C22×C4C2512yes—
1500C22×C4C2512yes—
1501C22×C4C2512yes—
1502C22×C4C2512yes—
1503C22×C4C2514yes—
1504C22×C4C2514yes—
1505C22×C4C2512yes—
1506C22×C4C2511yescharacteristic
1507C22×C4C2512yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2512yes—
1510C22×C4C2511yescharacteristic
1511C22×C4C2511yescharacteristic
1512C22×C4C2511yescharacteristic
1513C22×C4C2512yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2512yes—
1516C22×C4C2511yescharacteristic
1517C22×C4C2511yescharacteristic
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—22no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—28no—
1526C4⋊C4—24no—
1527C4⋊C4—28no—
1528C4⋊C4—28no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—22no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—22no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—22no—
1538C4⋊C4—24no—
1539C4⋊C4—22no—
1540C4⋊C4—22no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—22no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—28no—
1547C4⋊C4—28no—
1548C4⋊C4—24no—
1549C4⋊C4—22no—
1550C4⋊C4—28no—
1551C4⋊C4—28no—
1552C4⋊C4—28no—
1553C4⋊C4—24no—
1554C4⋊C4—22no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—22no—
1558C4⋊C4—28no—
1559C4⋊C4—28no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—28no—
1563C4⋊C4—24no—
1564C4⋊C4—22no—
1565C4⋊C4—22no—
1566C4⋊C4—44no—
1567C4⋊C4—42no—
1568C4⋊C4—42no—
1569C4⋊C4—42no—
1570C4⋊C4—42no—
1571C4⋊C4—44no—
1572C4⋊C4—42no—
1573C4⋊C4—42no—
1574C4⋊C4—44no—
1575C4⋊C4—42no—
1576C4⋊C4—42no—
1577C4⋊C4—42no—
1578C4⋊C4—42no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—42no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4C22×D414yes—
1589C4⋊C4C22×D414yes—
1590C4⋊C4C22×D418yes—
1591C4⋊C4C22×D418yes—
1592C4⋊C4C22×D418yes—
1593C4⋊C4C22×D418yes—
1594C22⋊C4—22no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—22no—
1598C22⋊C4—24no—
1599C22⋊C4—28no—
1600C22⋊C4—28no—
1601C22⋊C4—24no—
1602C22⋊C4—28no—
1603C22⋊C4—24no—
1604C22⋊C4—28no—
1605C22⋊C4—22no—
1606C22⋊C4—22no—
1607C22⋊C4—24no—
1608C22⋊C4—22no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—22no—
1614C22⋊C4—28no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—28no—
1625C22⋊C4—42no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—42no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—42no—
1640C22⋊C4—42no—
1641C22⋊C4—44no—
1642C22⋊C4—42no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—42no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4C22×D418yes—
1653C22⋊C4C22×D418yes—
1654C22⋊C4C22×D418yes—
1655C22⋊C4C22×D418yes—
1656C22⋊C4C22×D418yes—
1657C42—22no—
1658C42—24no—
1659C42—22no—
1660C42—24no—
1661C42—24no—
1662C42—22no—
1663C42—24no—
1664C42—24no—
1665C42—22no—
1666C42—24no—
1667C42—22no—
1668C42—24no—
1669C42—22no—
1670C42—24no—
1671C42—28no—
1672C42—28no—
1673C42—24no—
1674C42—24no—
1675C42—44no—
1676C42—44no—
1677C42—44no—
1678C42—44no—
1679C42C22×D414yes—
1680C42C22×D414yes—
1681C42C22×D418yes—
1682C42C22×D414yes—
1683C42C22×D414yes—
1684C23—21no—
1685C23—21no—
1686C23—22no—
1687C23—21no—
1688C23—21no—
1689C23—22no—
1690C23—21no—
1691C23—21no—
1692C23—22no—
1693C23—21no—
1694C23—22no—
1695C23—21no—
1696C23—21no—
1697C23—22no—
1698C23—22no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—22no—
1703C23—21no—
1704C23—22no—
1705C23—22no—
1706C23—21no—
1707C23—22no—
1708C23—22no—
1709C23—22no—
1710C23—21no—
1711C23—22no—
1712C23—21no—
1713C23—21no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—21no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—21no—
1723C23C23×D414yes—
1724C23C23×D412yes—
1725C23C2×H(5,𝔽2)12yes—
1726C23C2611yescharacteristic
1727Q8—28no—
1728Q8—28no—
1729Q8—48no—
1730Q8—48no—
1731Q8—44no—
1732Q8—44no—
1733Q8—48no—
1734Q8—48no—
1735Q8—88no—
1736Q8—88no—
1737D4—28no—
1738D4—48no—
1739D4—48no—
1740D4—44no—
1741D4—44no—
1742D4—48no—
1743D4—48no—
1744D4—48no—
1745D4—44no—
1746D4—48no—
1747D4—48no—
1748D4—44no—
1749D4—44no—
1750D4—84no—
1751D4—84no—
1752D4—84no—
1753D4—88no—
1754D4—84no—
1755D4—164no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—28no—
1775C2×C4—216no—
1776C2×C4—28no—
1777C2×C4—28no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—24no—
1789C2×C4—24no—
1790C2×C4—22no—
1791C2×C4—24no—
1792C2×C4—24no—
1793C2×C4—22no—
1794C2×C4—24no—
1795C2×C4—22no—
1796C2×C4—24no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—24no—
1800C2×C4—22no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—24no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—24no—
1815C2×C4—22no—
1816C2×C4—24no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—24no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—24no—
1829C2×C4—22no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—44no—
1833C2×C4—48no—
1834C2×C4—48no—
1835C2×C4—48no—
1836C2×C4—48no—
1837C2×C4—44no—
1838C2×C4—48no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—84no—
1842C2×C4—82no—
1843C2×C4—82no—
1844C2×C4—84no—
1845C2×C4—88no—
1846C2×C4—84no—
1847C2×C4—88no—
1848C2×C4—88no—
1849C2×C4—164no—
1850C2×C4C23×D414yes—
1851C2×C4C23×D414yes—
1852C2×C4C23×D412yes—
1853C2×C4C23×D412yes—
1854C2×C4C23×D412yes—
1855C2×C4C23×D414yes—
1856C2×C4C23×D412yes—
1857C2×C4C23×D412yes—
1858C2×C4C23×D412yes—
1859C2×C4C2×H(5,𝔽2)12yes—
1860C2×C4C2×H(5,𝔽2)12yes—
1861C2×C4C2×2−1+414yes—
1862C2×C4C2×2−1+412yes—
1863C2×C4#58512yes—
1864C2×C4#58512yes—
1865C22—22no—
1866C22—24no—
1867C22—22no—
1868C22—22no—
1869C22—24no—
1870C22—22no—
1871C22—24no—
1872C22—22no—
1873C22—22no—
1874C22—41no—
1875C22—41no—
1876C22—42no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—42no—
1881C22—41no—
1882C22—42no—
1883C22—41no—
1884C22—41no—
1885C22—42no—
1886C22—41no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—41no—
1891C22—42no—
1892C22—41no—
1893C22—42no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—41no—
1898C22—41no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—41no—
1903C22—42no—
1904C22—42no—
1905C22—42no—
1906C22—41no—
1907C22C24×D411yescharacteristic
1908C22C22×H(5,𝔽2)11yescharacteristic
1909C22C22×2−1+411yescharacteristic
1910C22C2×#58511yescharacteristic
1911C22C2×#58511yescharacteristic
1912C222−1+611yescharacteristic
1913C222−1+611yescharacteristic
1914C4—24no—
1915C4—22no—
1916C4—22no—
1917C4—22no—
1918C4—24no—
1919C4—24no—
1920C4—22no—
1921C4—22no—
1922C4—24no—
1923C4—42no—
1924C4—41no—
1925C4—44no—
1926C4—42no—
1927C4—44no—
1928C4—42no—
1929C4—41no—
1930C4—41no—
1931C4—42no—
1932C4—41no—
1933C4—41no—
1934C4—42no—
1935C4—42no—
1936C4—42no—
1937C4—44no—
1938C4—42no—
1939C4—42no—
1940C4—44no—
1941C4#348814yes—
1942C4#348914yes—
1943C2—42no—
1944C2—44no—
1945C2—42no—
1946C2—82no—
1947C2—81no—
1948C2—82no—
1949C2C2×#348811yescharacteristic
1950C2C2×#348911yescharacteristic
1951C2#6285911yescharacteristic
1952C2#6293111yescharacteristic
1953C2#6293911yescharacteristic
1954C2#6294611yescharacteristic
1955C2#6295311yescharacteristic
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. C2×#3552C2semidirect
2. C2×#3480C2semidirect
3. #50687C2semidirect
4. #50686C2semidirect
5. #50637C2semidirect
6. #50636C2semidirect
7. #45417C2semidirect
8. #45386C2semidirect
9. #45333C2semidirect
10. #45303C2semidirect
11. #45272C2semidirect
12. #45207C2semidirect
13. #45159C2semidirect
14. #45135C2semidirect
15. #39343C2semidirect
16. #39343C2semidirect
17. #39340C2semidirect
18. #39335C2semidirect
19. #39139C2semidirect
20. #39136C2semidirect
21. #38035C2semidirect
22. #38027C2semidirect
23. #37379C2semidirect
24. #37378C2semidirect
25. #36579C2semidirect
26. #36577C2semidirect
27. #36404C2semidirect
28. #36274C2semidirect
29. #35316C2semidirect
30. #35309C2semidirect
31. #35308C2semidirect
32. #35279C2semidirect
33. #35189C2semidirect
34. #34614C2semidirect
35. #34383C2semidirect
359. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35522
C2×#34802
#506872
#506862
#506372
#506362
#454172
#453862
#453332
#453032
#452722
#452072
#451592
#451352
#393432
#393402
#393352
#391392
#391362
#380352
#380272
#373792
#373782
#365792
#365772
#364042
#362742
#353162
#353092
#353082
#352792
#351892
#346142
#343832