Finite Group Databasebeta

← #7709167

Subgroups — #7709167

Order 512.

6400 conjugacy classes of subgroups.

The subgroup lattice has 2021 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59676C212yesmaximal, complemented
2#59408C212yesmaximal, complemented
3#59228C211yesmaximal, characteristic, complemented
4#59212C211yesmaximal, characteristic, complemented
5#59051C211yesmaximal, characteristic, complemented
6#59035C211yesmaximal, characteristic, complemented
7#45727C214yesmaximal, complemented
8#45642C212yesmaximal, complemented
9#45593C212yesmaximal, complemented
10#40421C214yesmaximal, complemented
11#40116C212yesmaximal, complemented
12#40044C212yesmaximal, complemented
13#40006C212yesmaximal, complemented
14#39957C212yesmaximal, complemented
15#39735C211yesmaximal, characteristic, complemented
16#39606C211yesmaximal, characteristic, complemented
17#39471C211yesmaximal, characteristic, complemented
18#39342C211yesmaximal, characteristic, complemented
19#38577C214yesmaximal, complemented
20#37836C212yesmaximal, complemented
21#37650C212yesmaximal, complemented
22#37515C212yesmaximal, complemented
23#36926C214yesmaximal, complemented
24#36624C211yesmaximal, characteristic, complemented
25#36624C211yesmaximal, characteristic, complemented
26#36596C211yesmaximal, characteristic, complemented
27#36586C211yesmaximal, characteristic, complemented
28#36101C212yesmaximal, complemented
29#36100C211yesmaximal, characteristic, complemented
30#36096C212yesmaximal, complemented
31D4×#121C211yesmaximal, characteristic, complemented
32#35080C212yesmaximal, complemented
33#35078C212yesmaximal, complemented
34#34411C212yesmaximal, complemented
35C2×C4×#121C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#550C2212yescomplemented
38C2×#547C2211yescharacteristic, complemented
39C2×#546C2212yescomplemented
40C2×D42C2212yes—
41C2×D42C2211yescharacteristic, complemented
42C2×#535C2212yes—
43C2×#532C2211yescharacteristic, complemented
44C2×#532C2211yescharacteristic, complemented
45C2×#525C2212yescomplemented
46C2×#525C2212yescomplemented
47C2×#525C2212yescomplemented
48C22×#121C2211yescharacteristic
49C22×#121C2212yes—
50C22×C4×D4C2211yescharacteristic
51C22×C4×D4C2212yescomplemented
52C23×C42C2211yescharacteristic, complemented
53#2857C2211yescharacteristic, complemented
54#2857C2211yescharacteristic, complemented
55#2857C2211yescharacteristic, complemented
56#2857C2211yescharacteristic, complemented
57#2856C2211yescharacteristic
58#2856C2211yescharacteristic
59#2856C2212yescomplemented
60#2856C2211yescharacteristic, complemented
61#2856C2211yescharacteristic, complemented
62#2854C2211yescharacteristic, complemented
63#2854C2212yescomplemented
64#2854C2211yescharacteristic, complemented
65#2854C2212yescomplemented
66#2854C2212yescomplemented
67#2850C2212yes—
68#2850C2212yescomplemented
69#2850C2212yescomplemented
70#2850C2212yescomplemented
71#2850C2212yescomplemented
72#2848C2212yescomplemented
73#2847C2211yescharacteristic
74#2847C2212yes—
75#2847C2211yescharacteristic, complemented
76#2847C2212yescomplemented
77#2847C2212yescomplemented
78#2847C2212yescomplemented
79#2825C2214yescomplemented
80#2825C2214yescomplemented
81#2803C2214yescomplemented
82#2801C2214yescomplemented
83#2778C2214yescomplemented
84#2778C2214yescomplemented
85#2778C2214yescomplemented
86#2768C2214yescomplemented
87#2757C2214yescomplemented
88#2756C2214yescomplemented
89#2756C2214yescomplemented
90#2756C2214yescomplemented
91#2753C2214yescomplemented
92#2748C2214yescomplemented
93#2735C2214yescomplemented
94#2710C2214yescomplemented
95#2705C2214yescomplemented
96#2703C2214yescomplemented
97#2703C2214yescomplemented
98#2703C2214yescomplemented
99#2702C2214yescomplemented
100#2693C2214yescomplemented
101#2685C2214yescomplemented
102#2678C2214yescomplemented
103#2676C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2671C2214yescomplemented
108#2670C2214yescomplemented
109#2669C2214yescomplemented
110#2669C2214yescomplemented
111#2668C2214yescomplemented
112#2668C2214yescomplemented
113#2661C2214yescomplemented
114#2661C2214yescomplemented
115#2661C2214yescomplemented
116#2653C2214yescomplemented
117#2653C2214yescomplemented
118#2649C2214yescomplemented
119#2629C2212yescomplemented
120#2619C2212yescomplemented
121#2615C2212yescomplemented
122#2615C2212yescomplemented
123#2602C2214yescomplemented
124#2596C2214yescomplemented
125#2595C2214yescomplemented
126#2593C2214yescomplemented
127#2587C2214yescomplemented
128#2571C2211yescharacteristic, complemented
129#2562C2212yescomplemented
130#2559C2214yescomplemented
131#2554C2214yescomplemented
132#2552C2211yescharacteristic, complemented
133#2547C2211yescharacteristic, complemented
134#2543C2214yescomplemented
135#2543C2214yescomplemented
136#2543C2214yescomplemented
137#2542C2211yescharacteristic, complemented
138#2541C2212yescomplemented
139#2541C2212yescomplemented
140#2541C2211yescharacteristic, complemented
141#2541C2211yescharacteristic, complemented
142#2540C2212yescomplemented
143#2539C2214yescomplemented
144#2538C2212yescomplemented
145#2537C2211yescharacteristic, complemented
146#2537C2211yescharacteristic, complemented
147#2537C2212yescomplemented
148#2535C2212yes—
149#2535C2212yescomplemented
150#2514C2212yescomplemented
151#2513C2212yescomplemented
152#2512C2212yescomplemented
153#2510C2214yescomplemented
154#2510C2214yescomplemented
155#2507C2212yescomplemented
156#2504C2212yescomplemented
157#2502C2212yescomplemented
158#2500C2212yescomplemented
159#2500C2212yescomplemented
160#2495C2212yescomplemented
161#2494C2212yescomplemented
162#2494C2212yescomplemented
163#2494C2212yescomplemented
164#2492C2212yescomplemented
165#2491C2212yescomplemented
166#2490C2212yescomplemented
167#2490C2212yescomplemented
168#2487C2212yescomplemented
169#2487C2212yescomplemented
170#2485C2212yescomplemented
171#2472C2214yescomplemented
172#2464C2214yescomplemented
173#2456C2214yescomplemented
174#2456C2214yescomplemented
175#2456C2214yescomplemented
176#2456C2214yescomplemented
177#2455C2214yescomplemented
178#2454C2212yescomplemented
179#2450C2214yescomplemented
180#2448C2212yescomplemented
181#2445C2214yescomplemented
182#2445C2212yescomplemented
183#2445C2212yescomplemented
184#2443C2214yescomplemented
185#2435C2212yescomplemented
186#2433C2214yescomplemented
187#2433C2212yescomplemented
188#2431C2212yescomplemented
189#2431C2212yescomplemented
190#2428C2212yescomplemented
191#2428C2212yescomplemented
192#2427C2212yescomplemented
193#2426C2212yescomplemented
194#2424C2214yescomplemented
195#2424C2214yescomplemented
196#2424C2214yescomplemented
197#2424C2214yescomplemented
198#2423C2212yescomplemented
199#2422C2212yescomplemented
200#2422C2212yescomplemented
201#2422C2212yescomplemented
202#2418C2214yescomplemented
203#2418C2214yescomplemented
204#2418C2214yescomplemented
205#2418C2214yescomplemented
206#2417C2212yescomplemented
207#2416C2212yes—
208#2416C2212yescomplemented
209#2416C2212yescomplemented
210#2416C2212yescomplemented
211#2415C2212yescomplemented
212#2414C2212yescomplemented
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2414C2212yescomplemented
216#2414C2212yescomplemented
217#2414C2212yescomplemented
218#2410C2214yes—
219#2410C2214yescomplemented
220#2410C2214yescomplemented
221#2408C2212yes—
222#2408C2212yes—
223#2408C2212yescomplemented
224#2408C2212yescomplemented
225#2408C2212yescomplemented
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2407C2212yescomplemented
229#2407C2212yescomplemented
230#2403C2214yescomplemented
231#2380C2214yescomplemented
232#2375C2214yescomplemented
233#2366C2214yescomplemented
234#2366C2211yescharacteristic, complemented
235#2365C2211yescharacteristic, complemented
236#2363C2212yescomplemented
237#2363C2212yescomplemented
238#2361C2212yescomplemented
239#2361C2214yescomplemented
240#2361C2212yescomplemented
241#2358C2214yescomplemented
242#2354C2211yescharacteristic, complemented
243#2354C2212yescomplemented
244#2354C2211yescharacteristic, complemented
245#2354C2211yescharacteristic, complemented
246#2352C2212yescomplemented
247#2352C2212yescomplemented
248D4×C4⋊C4C2212yescomplemented
249D4×C4⋊C4C2211yescharacteristic, complemented
250#2347C2212yescomplemented
251#2347C2212yescomplemented
252D4×C22⋊C4C2214yescomplemented
253D4×C22⋊C4C2212yescomplemented
254D4×C22⋊C4C2212yescomplemented
255#2337C2214yescomplemented
256#2337C2214yescomplemented
257#2335C2214yescomplemented
258#2324C2212yes—
259#2324C2212yescomplemented
260#2321C2214yescomplemented
261#2321C2214yescomplemented
262#2321C2214yescomplemented
263#2311C2212yescomplemented
264C4×C22⋊Q8C2212yescomplemented
265C4×#121C2211yescharacteristic
266C4×#121C2211yescharacteristic
267C4×#121C2211yescharacteristic
268C4×#121C2211yescharacteristic
269C4×#121C2211yescharacteristic
270C4×#121C2212yescomplemented
271C4×#121C2211yescharacteristic, complemented
272C4×#121C2212yescomplemented
273C4×#121C2212yescomplemented
274C4×#121C2211yescharacteristic, complemented
275C4×#121C2211yescharacteristic, complemented
276C4×#121C2212yescomplemented
277C4×#121C2212yescomplemented
278C4×#121C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281C4×#121C2212yescomplemented
282C4×#121C2211yescharacteristic, complemented
283C4×#121C2212yescomplemented
284C4×#121C2211yescharacteristic, complemented
285C4×#121C2211yescharacteristic, complemented
286C4×#121C2211yescharacteristic, complemented
287C4×#121C2212yescomplemented
288#2297C2212yescomplemented
289#2297C2212yescomplemented
290C2×#390C2211yescharacteristic
291C2×#389C2211yescharacteristic, complemented
292C2×#388C2212yescomplemented
293C2×#386C2212yescomplemented
294#2285C2211yescharacteristic, complemented
295#2285C2211yescharacteristic, complemented
296C2×#380C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2212yescomplemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2311yescharacteristic
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2314yes—
306C23×D4C2312yes—
307C24×C4C2311yescharacteristic
308C24×C4C2311yescharacteristic
309C24×C4C2312yes—
310C24×C4C2311yescharacteristic
311#553—48no—
312#550—48no—
313#547—44no—
314#546—48no—
315D42—44no—
316D42—48no—
317#535—216no—
318#532—44no—
319#532—44no—
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2314yes—
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2314yes—
328C2×#126C2314yes—
329C2×#125C2312yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334#525—48no—
335#525—48no—
336#525—48no—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×#121—28no—
353C2×#121—48no—
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2311yescharacteristic
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2311yescharacteristic
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2312yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2312yes—
405C2×#120C2314yes—
406C2×#120C2314yes—
407C2×#120C2314yes—
408C2×#120C2314yes—
409C2×C4×Q8C2312yes—
410C2×C4×D4—44no—
411C2×C4×D4—48no—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2314yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2312yes—
455C22×C22⋊C4C2312yes—
456C22×C22⋊C4C2314yes—
457C22×C22⋊C4C2314yes—
458C22×C22⋊C4C2312yes—
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2312yes—
462C22×C42—44no—
463C22×C42C2311yescharacteristic
464C22×C42C2311yescharacteristic
465C22×C42C2311yescharacteristic
466C22×C42C2312yes—
467C22×C42C2311yescharacteristic
468C22×C42C2311yescharacteristic
469C22×C42C2311yescharacteristic
470C22×C42C2311yescharacteristic
471C22×C42C2311yescharacteristic
472C22×C42C2311yescharacteristic
473C22×C42C2311yescharacteristic
474C22×C42C2311yescharacteristic
475C22×C42C2311yescharacteristic
476#401C2314yes—
477#401C2314yes—
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#400C2314yes—
482#399C2314yes—
483#399C2314yes—
484#399C2314yes—
485#399C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#393C2314yes—
534#393C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#391C2314yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2314yes—
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2311yescharacteristic
577#390C2312yes—
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2311yescharacteristic
585#390C2312yes—
586#390C2311yescharacteristic
587#390C2311yescharacteristic
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2311yescharacteristic
598#390C2311yescharacteristic
599#390C2311yescharacteristic
600#390C2312yes—
601#390C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2312yes—
617#389C2311yescharacteristic
618#389C2312yes—
619#389C2314yes—
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2314yes—
699#386C2312yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2312yes—
705#386C2314yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2314yes—
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#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2312yes—
745#384C2312yes—
746#383C2314yes—
747#383C2314yes—
748#382C2312yes—
749#382C2312yes—
750#382C2312yes—
751#382C2312yes—
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2312yes—
783#380C2312yes—
784#380C2311yescharacteristic
785#379C2314yes—
786#379C2314yes—
787#379C2314yes—
788#379C2314yes—
789#379C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C2×#95C2312yes—
825C2×#95C2312yes—
826C2×#95C2312yes—
827C25C2411yescharacteristic
828C25C2412yes—
829C25C2414yes—
830C2×#41—28no—
831C2×#41—28no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—44no—
839C22×Q8C2412yes—
840C22×Q8C2412yes—
841C22×D4—24no—
842C22×D4—28no—
843C22×D4—28no—
844C22×D4—24no—
845C22×D4—42no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4—48no—
854C22×D4—48no—
855C22×D4—48no—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2411yescharacteristic
862C22×D4C2412yes—
863C22×D4C2411yescharacteristic
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2411yescharacteristic
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2412yes—
888C23×C4—24no—
889C23×C4—24no—
890C23×C4—24no—
891C23×C4—24no—
892C23×C4—28no—
893C23×C4—42no—
894C23×C4—42no—
895C23×C4—42no—
896C23×C4—42no—
897C23×C4—44no—
898C23×C4—44no—
899C23×C4—42no—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2414yes—
924C23×C4C2412yes—
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2414yes—
928C23×C4C2414yes—
929C23×C4C2414yes—
930C23×C4C2411yescharacteristic
931C4⋊Q8—24no—
932C4⋊Q8—42no—
933#127—216no—
934#127—24no—
935#127—42no—
936#127—44no—
937#127—44no—
938#127—48no—
939#126—48no—
940#125—44no—
941#124—216no—
942#124—44no—
943#124—44no—
944#124—44no—
945#123—48no—
946#123—48no—
947#123—48no—
948#123—48no—
949#123—44no—
950#123—44no—
951#123—48no—
952#123—48no—
953C22⋊Q8—28no—
954C22⋊Q8—44no—
955C22⋊Q8—44no—
956C22⋊Q8—44no—
957C22⋊Q8—44no—
958C22⋊Q8—44no—
959C22⋊Q8—44no—
960#121—24no—
961#121—28no—
962#121—28no—
963#121—24no—
964#121—28no—
965#121—24no—
966#121—28no—
967#121—24no—
968#121—28no—
969#121—24no—
970#121—24no—
971#121—24no—
972#121—28no—
973#121—28no—
974#121—48no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—48no—
979#121—48no—
980#121—48no—
981#121—48no—
982#121—44no—
983#121—44no—
984#121—44no—
985#121—44no—
986#121—44no—
987#121—44no—
988#121—42no—
989#121—42no—
990#121—44no—
991#121—44no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—44no—
996#121—44no—
997#121—48no—
998#121—44no—
999#121—44no—
1000#121—48no—
1001#121—44no—
1002#121—48no—
1003#121#4118yescomplemented
1004#120—216no—
1005#120—216no—
1006#120—48no—
1007#120—48no—
1008#120—48no—
1009#120—44no—
1010#120—44no—
1011#120—48no—
1012#120—48no—
1013#120—48no—
1014#120—48no—
1015C4×Q8—44no—
1016C4×D4—28no—
1017C4×D4—28no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—24no—
1021C4×D4—24no—
1022C4×D4—24no—
1023C4×D4—24no—
1024C4×D4—44no—
1025C4×D4—42no—
1026C4×D4—42no—
1027C4×D4—44no—
1028C4×D4—44no—
1029C4×D4—44no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—44no—
1034C4×D4—44no—
1035C4×D4—44no—
1036C4×D4—44no—
1037C4×D4—44no—
1038C4×D4—44no—
1039C4×D4—44no—
1040C4×D4—48no—
1041C4×D4—48no—
1042C4×D4—48no—
1043C4×D4—44no—
1044C4×D4—44no—
1045C4×D4—48no—
1046C4×D4—48no—
1047C4×D4—48no—
1048#117—28no—
1049#117—44no—
1050#117—44no—
1051#117—44no—
1052#117—44no—
1053C2×C4⋊C4—24no—
1054C2×C4⋊C4—24no—
1055C2×C4⋊C4—42no—
1056C2×C4⋊C4—44no—
1057C2×C4⋊C4—44no—
1058C2×C4⋊C4—44no—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C22⋊C4—28no—
1107C2×C22⋊C4—44no—
1108C2×C22⋊C4—44no—
1109C2×C22⋊C4—44no—
1110C2×C22⋊C4—48no—
1111C2×C22⋊C4—48no—
1112C2×C22⋊C4—44no—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C42—24no—
1191C2×C42—24no—
1192C2×C42—24no—
1193C2×C42—44no—
1194C2×C42—42no—
1195C2×C42—42no—
1196C2×C42—42no—
1197C2×C42—42no—
1198C2×C42—42no—
1199C2×C42—42no—
1200C2×C42—42no—
1201C2×C42—42no—
1202C2×C42—42no—
1203C2×C42C2412yes—
1204C2×C42C2412yes—
1205C2×C42C2414yes—
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2414yes—
1218C2×C42C2414yes—
1219C2×C42C2414yes—
1220C2×C42C2412yes—
1221C2×C42C2412yes—
1222C2×C42C2414yes—
1223C2×C42C2411yescharacteristic
1224C2×C42C2411yescharacteristic
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274C24—22no—
1275C24—22no—
1276C24—22no—
1277C24—24no—
1278C24—22no—
1279C24—22no—
1280C24—24no—
1281C24—24no—
1282C24—24no—
1283C24—28no—
1284C24—41no—
1285C24—41no—
1286C24—42no—
1287C24—42no—
1288C24—42no—
1289C24—44no—
1290C24—44no—
1291C24—44no—
1292C24—44no—
1293C24—44no—
1294C24—44no—
1295C24C2512yes—
1296C24C2512yes—
1297C24C2514yes—
1298C24C2512yes—
1299C24C2512yes—
1300C24C2511yescharacteristic
1301C24C2511yescharacteristic
1302C24C2511yescharacteristic
1303#41—816no—
1304#41—816no—
1305#41—816no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—24no—
1309C2×Q8—24no—
1310C2×Q8—42no—
1311C2×Q8—42no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—28no—
1321C2×D4—28no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—28no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—28no—
1328C2×D4—28no—
1329C2×D4—28no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—28no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—22no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—28no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—22no—
1349C2×D4—24no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—416no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—42no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—432no—
1408C2×D4—816no—
1409C2×D4—816no—
1410C2×D4—832no—
1411C2×D4C2×#4114yes—
1412C2×D4C2×#4118yes—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—24no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—24no—
1464C22×C4—28no—
1465C22×C4—24no—
1466C22×C4—41no—
1467C22×C4—41no—
1468C22×C4—41no—
1469C22×C4—41no—
1470C22×C4—41no—
1471C22×C4—41no—
1472C22×C4—41no—
1473C22×C4—41no—
1474C22×C4—41no—
1475C22×C4—42no—
1476C22×C4—41no—
1477C22×C4—41no—
1478C22×C4—41no—
1479C22×C4—41no—
1480C22×C4—41no—
1481C22×C4—41no—
1482C22×C4—41no—
1483C22×C4—416no—
1484C22×C4—416no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—44no—
1489C22×C4—42no—
1490C22×C4—44no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—44no—
1503C22×C4—44no—
1504C22×C4—416no—
1505C22×C4—816no—
1506C22×C4C2×#4114yes—
1507C22×C4H(5,𝔽2)14yes—
1508C22×C4H(5,𝔽2)14yes—
1509C22×C4H(5,𝔽2)14yes—
1510C22×C4C2511yescharacteristic
1511C22×C4C2511yescharacteristic
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2514yes—
1516C22×C4C2511yescharacteristic
1517C22×C4C2512yes—
1518C22×C4C2512yes—
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2514yes—
1522C22×C4C2512yes—
1523C22×C4C2512yes—
1524C22×C4C2514yes—
1525C22×C4C2512yes—
1526C22×C4C2511yescharacteristic
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2511yescharacteristic
1530C22×C4C2511yescharacteristic
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C4⋊C4—24no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—24no—
1543C4⋊C4—22no—
1544C4⋊C4—22no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—22no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—22no—
1554C4⋊C4—24no—
1555C4⋊C4—22no—
1556C4⋊C4—24no—
1557C4⋊C4—22no—
1558C4⋊C4—28no—
1559C4⋊C4—24no—
1560C4⋊C4—22no—
1561C4⋊C4—24no—
1562C4⋊C4—42no—
1563C4⋊C4—42no—
1564C4⋊C4—42no—
1565C4⋊C4—44no—
1566C4⋊C4—44no—
1567C4⋊C4—42no—
1568C4⋊C4—42no—
1569C4⋊C4—42no—
1570C4⋊C4—42no—
1571C4⋊C4—42no—
1572C4⋊C4—44no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—44no—
1576C4⋊C4—42no—
1577C4⋊C4—42no—
1578C4⋊C4—42no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4C2×#4114yes—
1584C22⋊C4—24no—
1585C22⋊C4—28no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—28no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—28no—
1594C22⋊C4—28no—
1595C22⋊C4—28no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—28no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—28no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—28no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4—44no—
1654C22⋊C4—42no—
1655C22⋊C4—42no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4C2×#4118yes—
1661C42—28no—
1662C42—22no—
1663C42—22no—
1664C42—22no—
1665C42—22no—
1666C42—22no—
1667C42—22no—
1668C42—22no—
1669C42—22no—
1670C42—22no—
1671C42—24no—
1672C42—24no—
1673C42—24no—
1674C42—24no—
1675C42—41no—
1676C42—41no—
1677C42—41no—
1678C42—41no—
1679C42—41no—
1680C42—41no—
1681C42—42no—
1682C42—42no—
1683C42—44no—
1684C42—44no—
1685C42—44no—
1686C42—44no—
1687C42H(5,𝔽2)14yes—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—28no—
1693C23—21no—
1694C23—22no—
1695C23—22no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—22no—
1702C23—22no—
1703C23—21no—
1704C23—21no—
1705C23—22no—
1706C23—21no—
1707C23—21no—
1708C23—21no—
1709C23—21no—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—24no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—24no—
1720C23—24no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—24no—
1728C23—22no—
1729C23—24no—
1730C23—22no—
1731C23—22no—
1732C23—24no—
1733C23—22no—
1734C23—22no—
1735C23—24no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—44no—
1740C23—44no—
1741C23—44no—
1742C23—44no—
1743C23—48no—
1744C23—48no—
1745C23—48no—
1746C23—44no—
1747C23—44no—
1748C23—48no—
1749C23—84no—
1750C23—84no—
1751C23—84no—
1752C23—88no—
1753C23—88no—
1754C23—88no—
1755C23—88no—
1756C23—88no—
1757C23—164no—
1758C23—164no—
1759C23C22×#4114yes—
1760C23C22×#4112yes—
1761C23C2×H(5,𝔽2)12yes—
1762C23C2×H(5,𝔽2)12yes—
1763C23C2×H(5,𝔽2)12yes—
1764C23#58512yes—
1765C23C2611yescharacteristic
1766Q8—48no—
1767Q8—84no—
1768D4—28no—
1769D4—48no—
1770D4—48no—
1771D4—48no—
1772D4—48no—
1773D4—48no—
1774D4—48no—
1775D4—416no—
1776D4—48no—
1777D4—44no—
1778D4—48no—
1779D4—44no—
1780D4—48no—
1781D4—44no—
1782D4—88no—
1783D4—84no—
1784D4—84no—
1785D4—84no—
1786D4—88no—
1787D4—88no—
1788D4—84no—
1789D4—84no—
1790D4—88no—
1791D4—88no—
1792D4—84no—
1793D4—84no—
1794D4—88no—
1795D4—88no—
1796D4—88no—
1797D4—88no—
1798D4—164no—
1799D4—164no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—28no—
1815C2×C4—28no—
1816C2×C4—28no—
1817C2×C4—28no—
1818C2×C4—22no—
1819C2×C4—24no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—24no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—24no—
1841C2×C4—24no—
1842C2×C4—24no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—24no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—24no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—24no—
1861C2×C4—22no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—24no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—44no—
1873C2×C4—44no—
1874C2×C4—44no—
1875C2×C4—44no—
1876C2×C4—44no—
1877C2×C4—44no—
1878C2×C4—44no—
1879C2×C4—44no—
1880C2×C4—44no—
1881C2×C4—48no—
1882C2×C4—44no—
1883C2×C4—44no—
1884C2×C4—44no—
1885C2×C4—44no—
1886C2×C4—48no—
1887C2×C4—48no—
1888C2×C4—44no—
1889C2×C4—48no—
1890C2×C4—48no—
1891C2×C4—84no—
1892C2×C4—84no—
1893C2×C4—88no—
1894C2×C4—84no—
1895C2×C4—84no—
1896C2×C4—88no—
1897C2×C4—88no—
1898C2×C4—164no—
1899C2×C4C22×#4114yes—
1900C2×C4C22×#4112yes—
1901C2×C4C22×#4112yes—
1902C2×C4C2×H(5,𝔽2)12yes—
1903C2×C4C2×H(5,𝔽2)12yes—
1904C2×C4C2×H(5,𝔽2)12yes—
1905C2×C4C2×H(5,𝔽2)12yes—
1906C2×C4C2×H(5,𝔽2)12yes—
1907C2×C4C2×H(5,𝔽2)12yes—
1908C2×C4C2×H(5,𝔽2)12yes—
1909C2×C4C2×H(5,𝔽2)12yes—
1910C2×C4C2×H(5,𝔽2)12yes—
1911C2×C4#58512yes—
1912C22—22no—
1913C22—22no—
1914C22—22no—
1915C22—22no—
1916C22—22no—
1917C22—22no—
1918C22—22no—
1919C22—22no—
1920C22—24no—
1921C22—22no—
1922C22—22no—
1923C22—24no—
1924C22—22no—
1925C22—24no—
1926C22—22no—
1927C22—416no—
1928C22—41no—
1929C22—42no—
1930C22—42no—
1931C22—41no—
1932C22—41no—
1933C22—41no—
1934C22—41no—
1935C22—41no—
1936C22—41no—
1937C22—42no—
1938C22—41no—
1939C22—42no—
1940C22—42no—
1941C22—42no—
1942C22—44no—
1943C22—42no—
1944C22—42no—
1945C22—44no—
1946C22—42no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—44no—
1952C22—42no—
1953C22—42no—
1954C22—44no—
1955C22—42no—
1956C22—42no—
1957C22—44no—
1958C22—42no—
1959C22—42no—
1960C22—42no—
1961C22—44no—
1962C22—42no—
1963C22—42no—
1964C22—44no—
1965C22—42no—
1966C22—42no—
1967C22—42no—
1968C22—816no—
1969C22—1616no—
1970C22#354614yes—
1971C22C23×#4111yescharacteristic
1972C22C22×H(5,𝔽2)11yescharacteristic
1973C22C22×H(5,𝔽2)11yescharacteristic
1974C22C22×H(5,𝔽2)11yescharacteristic
1975C22C22×H(5,𝔽2)11yescharacteristic
1976C22C2×#58511yescharacteristic
1977C22C2×#58511yescharacteristic
1978C4—22no—
1979C4—22no—
1980C4—22no—
1981C4—22no—
1982C4—24no—
1983C4—22no—
1984C4—22no—
1985C4—41no—
1986C4—42no—
1987C4—42no—
1988C4—44no—
1989C4—42no—
1990C4—44no—
1991C4—42no—
1992C4—41no—
1993C4—42no—
1994C4—42no—
1995C4—42no—
1996C4—44no—
1997C4—41no—
1998C4—41no—
1999C4—42no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4#351914yes—
2004C4#353714yes—
2005C2—24no—
2006C2—42no—
2007C2—42no—
2008C2—44no—
2009C2—82no—
2010C2—82no—
2011C2—84no—
2012C2—82no—
2013C2C2×#353711yescharacteristic
2014C2C2×#354611yescharacteristic
2015C2C2×#351911yescharacteristic
2016C2#6277311yescharacteristic
2017C2#6280011yescharacteristic
2018C2#6282111yescharacteristic
2019C2#6283411yescharacteristic
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. #59676C2semidirect
2. #59408C2semidirect
3. #59228C2semidirect
4. #59212C2semidirect
5. #59051C2semidirect
6. #59035C2semidirect
7. #45727C2semidirect
8. #45642C2semidirect
9. #45593C2semidirect
10. #40421C2semidirect
11. #40116C2semidirect
12. #40044C2semidirect
13. #40006C2semidirect
14. #39957C2semidirect
15. #39735C2semidirect
16. #39606C2semidirect
17. #39471C2semidirect
18. #39342C2semidirect
19. #38577C2semidirect
20. #37836C2semidirect
21. #37650C2semidirect
22. #37515C2semidirect
23. #36926C2semidirect
24. #36624C2semidirect
25. #36624C2semidirect
26. #36596C2semidirect
27. #36586C2semidirect
28. #36101C2semidirect
29. #36100C2semidirect
30. #36096C2semidirect
31. D4×#121C2semidirect
32. #35080C2semidirect
33. #35078C2semidirect
34. #34411C2semidirect
35. C2×C4×#121C2semidirect
36. C2×#553C22semidirect
37. C2×#550C22semidirect
38. C2×#547C22semidirect
39. C2×#546C22semidirect
41. C2×D42C22semidirect
43. C2×#532C22semidirect
44. C2×#532C22semidirect
45. C2×#525C22semidirect
46. C2×#525C22semidirect
47. C2×#525C22semidirect
51. C22×C4×D4C22semidirect
52. C23×C42C22semidirect
53. #2857C22semidirect
54. #2857C22semidirect
55. #2857C22semidirect
56. #2857C22semidirect
59. #2856C22semidirect
60. #2856C22semidirect
61. #2856C22semidirect
62. #2854C22semidirect
63. #2854C22semidirect
64. #2854C22semidirect
65. #2854C22semidirect
66. #2854C22semidirect
68. #2850C22semidirect
69. #2850C22semidirect
70. #2850C22semidirect
71. #2850C22semidirect
72. #2848C22semidirect
75. #2847C22semidirect
76. #2847C22semidirect
77. #2847C22semidirect
78. #2847C22semidirect
79. #2825C22semidirect
80. #2825C22semidirect
81. #2803C22semidirect
82. #2801C22semidirect
83. #2778C22semidirect
84. #2778C22semidirect
85. #2778C22semidirect
86. #2768C22semidirect
87. #2757C22semidirect
88. #2756C22semidirect
89. #2756C22semidirect
90. #2756C22semidirect
91. #2753C22semidirect
92. #2748C22semidirect
93. #2735C22semidirect
94. #2710C22semidirect
95. #2705C22semidirect
96. #2703C22semidirect
97. #2703C22semidirect
98. #2703C22semidirect
99. #2702C22semidirect
100. #2693C22semidirect
101. #2685C22semidirect
102. #2678C22semidirect
103. #2676C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2671C22semidirect
108. #2670C22semidirect
109. #2669C22semidirect
110. #2669C22semidirect
111. #2668C22semidirect
112. #2668C22semidirect
113. #2661C22semidirect
114. #2661C22semidirect
115. #2661C22semidirect
116. #2653C22semidirect
117. #2653C22semidirect
118. #2649C22semidirect
119. #2629C22semidirect
120. #2619C22semidirect
121. #2615C22semidirect
122. #2615C22semidirect
123. #2602C22semidirect
124. #2596C22semidirect
125. #2595C22semidirect
126. #2593C22semidirect
127. #2587C22semidirect
128. #2571C22semidirect
129. #2562C22semidirect
130. #2559C22semidirect
131. #2554C22semidirect
132. #2552C22semidirect
133. #2547C22semidirect
134. #2543C22semidirect
135. #2543C22semidirect
136. #2543C22semidirect
137. #2542C22semidirect
138. #2541C22semidirect
139. #2541C22semidirect
140. #2541C22semidirect
141. #2541C22semidirect
142. #2540C22semidirect
143. #2539C22semidirect
144. #2538C22semidirect
145. #2537C22semidirect
146. #2537C22semidirect
147. #2537C22semidirect
149. #2535C22semidirect
150. #2514C22semidirect
151. #2513C22semidirect
152. #2512C22semidirect
153. #2510C22semidirect
154. #2510C22semidirect
155. #2507C22semidirect
156. #2504C22semidirect
157. #2502C22semidirect
158. #2500C22semidirect
159. #2500C22semidirect
160. #2495C22semidirect
161. #2494C22semidirect
162. #2494C22semidirect
163. #2494C22semidirect
164. #2492C22semidirect
165. #2491C22semidirect
166. #2490C22semidirect
167. #2490C22semidirect
168. #2487C22semidirect
169. #2487C22semidirect
170. #2485C22semidirect
171. #2472C22semidirect
172. #2464C22semidirect
173. #2456C22semidirect
174. #2456C22semidirect
175. #2456C22semidirect
176. #2456C22semidirect
177. #2455C22semidirect
178. #2454C22semidirect
179. #2450C22semidirect
180. #2448C22semidirect
181. #2445C22semidirect
182. #2445C22semidirect
183. #2445C22semidirect
184. #2443C22semidirect
185. #2435C22semidirect
186. #2433C22semidirect
187. #2433C22semidirect
188. #2431C22semidirect
189. #2431C22semidirect
190. #2428C22semidirect
191. #2428C22semidirect
192. #2427C22semidirect
193. #2426C22semidirect
194. #2424C22semidirect
195. #2424C22semidirect
196. #2424C22semidirect
197. #2424C22semidirect
198. #2423C22semidirect
199. #2422C22semidirect
200. #2422C22semidirect
201. #2422C22semidirect
202. #2418C22semidirect
203. #2418C22semidirect
204. #2418C22semidirect
205. #2418C22semidirect
206. #2417C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2415C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
219. #2410C22semidirect
220. #2410C22semidirect
223. #2408C22semidirect
224. #2408C22semidirect
225. #2408C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
229. #2407C22semidirect
230. #2403C22semidirect
231. #2380C22semidirect
232. #2375C22semidirect
233. #2366C22semidirect
234. #2366C22semidirect
235. #2365C22semidirect
236. #2363C22semidirect
237. #2363C22semidirect
238. #2361C22semidirect
239. #2361C22semidirect
240. #2361C22semidirect
241. #2358C22semidirect
242. #2354C22semidirect
243. #2354C22semidirect
244. #2354C22semidirect
245. #2354C22semidirect
246. #2352C22semidirect
247. #2352C22semidirect
248. D4×C4⋊C4C22semidirect
249. D4×C4⋊C4C22semidirect
250. #2347C22semidirect
251. #2347C22semidirect
252. D4×C22⋊C4C22semidirect
253. D4×C22⋊C4C22semidirect
254. D4×C22⋊C4C22semidirect
255. #2337C22semidirect
256. #2337C22semidirect
257. #2335C22semidirect
259. #2324C22semidirect
260. #2321C22semidirect
261. #2321C22semidirect
262. #2321C22semidirect
263. #2311C22semidirect
264. C4×C22⋊Q8C22semidirect
270. C4×#121C22semidirect
271. C4×#121C22semidirect
272. C4×#121C22semidirect
273. C4×#121C22semidirect
274. C4×#121C22semidirect
275. C4×#121C22semidirect
276. C4×#121C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. #2297C22semidirect
289. #2297C22semidirect
291. C2×#389C22semidirect
292. C2×#388C22semidirect
293. C2×#386C22semidirect
294. #2285C22semidirect
295. #2285C22semidirect
296. C2×#380C22semidirect
297. C2×C4×C4⋊C4C22semidirect
298. C2×C4×C22⋊C4C22semidirect
1003. #121#41semidirect

Maximal subgroups

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

subgroupindex
#596762
#594082
#592282
#592122
#590512
#590352
#457272
#456422
#455932
#404212
#401162
#400442
#400062
#399572
#397352
#396062
#394712
#393422
#385772
#378362
#376502
#375152
#369262
#366242
#365962
#365862
#361012
#361002
#360962
D4×#1212
#350802
#350782
#344112
C2×C4×#1212