Finite Group Databasebeta

← #7679710

Subgroups — #7679710

Order 512.

7702 conjugacy classes of subgroups.

The subgroup lattice has 1937 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3494C212yesmaximal, complemented
2#59826C212yesmaximal, complemented
3#59808C212yesmaximal, complemented
4#59392C212yesmaximal, complemented
5#59375C212yesmaximal, complemented
6#59273C212yesmaximal, complemented
7#59229C212yesmaximal, complemented
8#59112C212yesmaximal, complemented
9#59035C212yesmaximal, complemented
10#43543C214yesmaximal, complemented
11#43535C214yesmaximal, complemented
12#43114C214yesmaximal, complemented
13#43106C214yesmaximal, complemented
14#39369C211yesmaximal, characteristic, complemented
15#39362C211yesmaximal, characteristic, complemented
16#39352C211yesmaximal, characteristic, complemented
17#39350C211yesmaximal, characteristic, complemented
18#37758C212yesmaximal, complemented
19#37748C212yesmaximal, complemented
20#37670C212yesmaximal, complemented
21#37664C212yesmaximal, complemented
22#36127C211yesmaximal, characteristic, complemented
23#36115C211yesmaximal, characteristic, complemented
24#36100C211yesmaximal, characteristic, complemented
25D4×#121C211yesmaximal, characteristic, complemented
26#35600C212yesmaximal, complemented
27#35523C212yesmaximal, complemented
28#35277C211yesmaximal, characteristic, complemented
29#35260C212yesmaximal, complemented
30#34932C211yesmaximal, characteristic, complemented
31#34925C211yesmaximal, characteristic, complemented
32#34310C211yesmaximal, characteristic, complemented
33#34308C211yesmaximal, characteristic, complemented
34D4×#117C211yesmaximal, characteristic, complemented
35C4×#540C211yesmaximal, characteristic, complemented
36#3494—232no—
37C2×#555C2214yescomplemented
38C2×#553C2214yescomplemented
39C2×#553C2214yescomplemented
40C2×#551C2214yescomplemented
41C2×#551C2214yescomplemented
42C2×#547C2211yescharacteristic
43C2×#547C2214yescomplemented
44C2×#547C2212yescomplemented
45C2×#546C2214yescomplemented
46C2×#546C2214yescomplemented
47C2×D42C2211yescharacteristic
48C2×D42C2212yes—
49C2×#544C2212yescomplemented
50C2×#542C2212yes—
51C2×#542C2212yescomplemented
52C2×#540C2211yescharacteristic
53C2×#540C2212yescomplemented
54C2×#535C2212yescomplemented
55C2×#532C2212yescomplemented
56C2×#532C2212yescomplemented
57C2×#532C2212yescomplemented
58C2×#529C2212yescomplemented
59C2×#529C2212yescomplemented
60C2×#525C2212yescomplemented
61C22×#121C2212yes—
62C2×#520C2212yescomplemented
63C2×#518C2212yescomplemented
64C22×C4×D4C2211yescharacteristic
65C22×#117C2212yescomplemented
66#2868C2211yescharacteristic, complemented
67#2858C2211yescharacteristic, complemented
68#2857C2211yescharacteristic, complemented
69#2857C2212yescomplemented
70#2856C2211yescharacteristic
71#2850C2212yescomplemented
72#2848C2212yescomplemented
73#2847C2212yes—
74#2725C2214yescomplemented
75#2723C2214yescomplemented
76#2720C2214yescomplemented
77#2717C2214yescomplemented
78#2706C2214yescomplemented
79#2706C2214yescomplemented
80#2701C2214yescomplemented
81#2698C2214yescomplemented
82#2693C2214yescomplemented
83#2691C2214yescomplemented
84#2688C2214yescomplemented
85#2686C2214yescomplemented
86#2686C2214yescomplemented
87#2684C2214yescomplemented
88#2681C2214yescomplemented
89#2678C2214yescomplemented
90#2678C2214yescomplemented
91#2678C2214yescomplemented
92#2677C2214yescomplemented
93#2674C2214yescomplemented
94#2672C2214yescomplemented
95#2671C2214yescomplemented
96#2668C2214yescomplemented
97#2668C2214yescomplemented
98#2640C2212yescomplemented
99#2628C2212yescomplemented
100#2625C2212yescomplemented
101#2624C2212yescomplemented
102#2620C2212yescomplemented
103#2620C2212yescomplemented
104#2600C2214yescomplemented
105#2600C2214yescomplemented
106#2579C2214yescomplemented
107#2555C2214yescomplemented
108#2553C2214yescomplemented
109#2552C2211yescharacteristic, complemented
110#2551C2212yescomplemented
111#2551C2211yescharacteristic, complemented
112#2547C2212yescomplemented
113#2547C2212yescomplemented
114#2547C2211yescharacteristic, complemented
115#2542C2212yes—
116#2542C2211yescharacteristic, complemented
117#2541C2211yescharacteristic
118#2541C2211yescharacteristic, complemented
119#2537C2211yescharacteristic
120#2537C2212yescomplemented
121#2537C2211yescharacteristic, complemented
122#2537C2212yescomplemented
123#2534C2214yescomplemented
124#2512C2212yescomplemented
125#2512C2212yescomplemented
126#2512C2212yescomplemented
127#2506C2212yescomplemented
128#2501C2212yescomplemented
129#2496C2212yescomplemented
130#2496C2212yescomplemented
131#2491C2212yescomplemented
132#2491C2212yescomplemented
133#2491C2212yescomplemented
134#2491C2212yescomplemented
135#2489C2212yescomplemented
136#2486C2212yescomplemented
137#2485C2214yescomplemented
138#2482C2214yescomplemented
139#2481C2214yescomplemented
140#2480C2214yescomplemented
141#2480C2214yescomplemented
142#2479C2214yescomplemented
143#2477C2214yescomplemented
144#2477C2214yescomplemented
145#2476C2214yescomplemented
146#2474C2214yescomplemented
147#2474C2214yescomplemented
148#2472C2214yescomplemented
149#2471C2214yescomplemented
150#2470C2214yescomplemented
151#2467C2214yescomplemented
152#2466C2214yescomplemented
153#2464C2214yescomplemented
154#2461C2214yescomplemented
155#2460C2214yescomplemented
156#2457C2214yescomplemented
157#2455C2214yescomplemented
158#2455C2214yescomplemented
159#2454C2212yescomplemented
160#2452C2212yes—
161#2452C2212yescomplemented
162#2452C2212yescomplemented
163#2451C2212yescomplemented
164#2449C2214yescomplemented
165#2447C2212yescomplemented
166#2445C2212yescomplemented
167#2445C2212yescomplemented
168#2444C2214yescomplemented
169#2444C2214yescomplemented
170#2441C2212yescomplemented
171#2440C2212yescomplemented
172#2440C2212yescomplemented
173#2439C2214yescomplemented
174#2437C2214yescomplemented
175#2435C2214yescomplemented
176#2435C2212yescomplemented
177#2432C2214yescomplemented
178#2431C2212yescomplemented
179#2430C2214yescomplemented
180#2428C2212yes—
181#2428C2212yescomplemented
182#2428C2212yescomplemented
183#2427C2214yescomplemented
184#2427C2212yescomplemented
185#2427C2212yescomplemented
186#2426C2212yescomplemented
187#2425C2214yescomplemented
188#2424C2214yes—
189#2422C2212yes—
190#2422C2212yescomplemented
191#2422C2214yescomplemented
192#2422C2212yescomplemented
193#2422C2212yescomplemented
194#2422C2212yescomplemented
195#2422C2212yescomplemented
196#2422C2212yescomplemented
197#2420C2214yescomplemented
198#2418C2214yescomplemented
199#2418C2214yescomplemented
200#2418C2214yescomplemented
201#2418C2214yescomplemented
202#2416C2212yes—
203#2416C2212yes—
204#2416C2212yescomplemented
205#2416C2212yescomplemented
206#2416C2212yescomplemented
207#2415C2212yescomplemented
208#2410C2214yes—
209#2408C2212yes—
210#2408C2212yes—
211#2408C2212yes—
212#2408C2212yes—
213#2407C2212yescomplemented
214#2407C2214yescomplemented
215#2406C2214yescomplemented
216#2405C2214yescomplemented
217#2404C2214yescomplemented
218#2395C2214yescomplemented
219#2388C2214yescomplemented
220#2366C2212yescomplemented
221#2366C2211yescharacteristic, complemented
222#2365C2211yescharacteristic, complemented
223#2363C2212yescomplemented
224#2361C2212yes—
225#2361C2212yescomplemented
226#2361C2212yescomplemented
227#2360C2212yescomplemented
228#2359C2214yescomplemented
229#2358C2214yescomplemented
230#2354C2211yescharacteristic
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2354C2212yescomplemented
234#2352C2212yescomplemented
235#2352C2212yescomplemented
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic, complemented
238D4×C4⋊C4C2211yescharacteristic, complemented
239D4×C4⋊C4C2212yescomplemented
240D4×C4⋊C4C2211yescharacteristic, complemented
241D4×C4⋊C4C2212yescomplemented
242D4×C4⋊C4C2211yescharacteristic, complemented
243#2344C2212yescomplemented
244#2344C2211yescharacteristic, complemented
245#2344C2211yescharacteristic, complemented
246#2342C2212yescomplemented
247#2342C2212yescomplemented
248#2339C2212yescomplemented
249D4×C22⋊C4C2212yes—
250D4×C22⋊C4C2211yescharacteristic
251D4×C22⋊C4C2211yescharacteristic
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yescomplemented
254#2335C2212yescomplemented
255#2335C2212yescomplemented
256#2333C2212yescomplemented
257#2333C2212yescomplemented
258#2330C2211yescharacteristic, complemented
259#2328C2211yescharacteristic, complemented
260#2326C2212yescomplemented
261#2324C2211yescharacteristic
262#2324C2212yescomplemented
263#2324C2211yescharacteristic, complemented
264#2323C2212yescomplemented
265#2322C2214yescomplemented
266#2321C2214yescomplemented
267#2319C2211yescharacteristic, complemented
268#2319C2211yescharacteristic, complemented
269#2314C2211yescharacteristic, complemented
270C4×C4⋊Q8C2211yescharacteristic, complemented
271C4×#127C2211yescharacteristic, complemented
272C4×#127C2211yescharacteristic, complemented
273C4×#125C2211yescharacteristic, complemented
274C4×C22⋊Q8C2212yescomplemented
275C4×#123C2212yescomplemented
276C4×#123C2212yescomplemented
277C4×#121C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281C4×#121C2211yescharacteristic, complemented
282C4×#121C2212yescomplemented
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285C4×#121C2212yescomplemented
286#2293C2211yescharacteristic
287#2293C2211yescharacteristic
288C2×#390C2212yes—
289C2×#389C2212yescomplemented
290#2290C2212yescomplemented
291#2290C2212yescomplemented
292#2285C2211yescharacteristic, complemented
293#2285C2212yescomplemented
294#2280C2212yescomplemented
295C42×D4C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C4×#117C2211yescharacteristic, complemented
300C22×#41C2312yes—
301C22×#41C2314yes—
302C22×#41C2314yes—
303C23×D4C2311yescharacteristic
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2314yes—
307C24×C4C2312yes—
308#555—232no—
309#553—232no—
310#553—232no—
311#551—232no—
312#551—232no—
313#547—232no—
314#547—28no—
315#547—48no—
316#546—232no—
317#546—232no—
318D42—28no—
319D42—48no—
320#544—216no—
321#542—216no—
322#542—216no—
323#540—216no—
324#540D4116yescomplemented
325#535—216no—
326#532—216no—
327#532—216no—
328#532—48no—
329C2×C4⋊Q8C2311yescharacteristic
330C2×C4⋊Q8C2312yes—
331C2×C4⋊Q8C2314yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×#127C2311yescharacteristic
337C2×#127C2312yes—
338C2×#127C2312yes—
339C2×#127C2311yescharacteristic
340#529—216no—
341#529—216no—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#125C2312yes—
347C2×#125C2314yes—
348C2×#125C2311yescharacteristic
349C2×#124C2312yes—
350C2×#124C2312yes—
351C2×#124C2314yes—
352C2×#124C2314yes—
353C2×#124C2314yes—
354C2×#124C2314yes—
355C2×#124C2312yes—
356C2×#124C2314yes—
357#525—216no—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2312yes—
370C2×#123C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2314yes—
375C2×C22⋊Q8C2314yes—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2314yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×#121—216no—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2314yes—
405C2×#121C2312yes—
406C2×#121C2311yescharacteristic
407C2×#121C2311yescharacteristic
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C2×#120C2314yes—
414C2×#120C2314yes—
415C2×#120C2314yes—
416#520—216no—
417#518—216no—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×D4—28no—
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2314yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2314yes—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2314yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2314yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2312yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×#117—216no—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2314yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2314yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2314yes—
472C2×#117C2311yescharacteristic
473C2×#117C2311yescharacteristic
474C22×C4⋊C4C2314yes—
475C22×C4⋊C4C2311yescharacteristic
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2312yes—
482C22×C22⋊C4C2314yes—
483C22×C22⋊C4C2312yes—
484C22×C22⋊C4C2312yes—
485C22×C22⋊C4C2314yes—
486C22×C22⋊C4C2314yes—
487C22×C22⋊C4C2312yes—
488C22×C22⋊C4C2314yes—
489C22×C42C2312yes—
490C22×C42C2311yescharacteristic
491C22×C42C2312yes—
492C22×C42C2312yes—
493C22×C42C2312yes—
494#400C2314yes—
495#400C2314yes—
496#400C2314yes—
497#399C2314yes—
498#399C2314yes—
499#399C2314yes—
500#399C2314yes—
501#399C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#395C2314yes—
529#395C2314yes—
530#395C2314yes—
531#395C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2314yes—
570#391C2312yes—
571#391C2314yes—
572#390C2311yescharacteristic
573#390C2311yescharacteristic
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2314yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2311yescharacteristic
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2311yescharacteristic
590#390C2311yescharacteristic
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2314yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2314yes—
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2314yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2312yes—
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2314yes—
620#389C2312yes—
621#389C2312yes—
622#389C2314yes—
623#389C2314yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2314yes—
629#389C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2314yes—
677#387C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#384C2311yescharacteristic
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2312yes—
738#384C2311yescharacteristic
739#384C2311yescharacteristic
740#384C2312yes—
741#384C2312yes—
742#384C2312yes—
743#384C2312yes—
744#382C2311yescharacteristic
745#382C2312yes—
746#382C2314yes—
747#381C2312yes—
748#381C2312yes—
749#381C2314yes—
750#381C2312yes—
751#381C2312yes—
752#381C2314yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2314yes—
776#380C2312yes—
777#380C2312yes—
778#380C2314yes—
779#380C2314yes—
780#379C2314yes—
781#379C2314yes—
782#379C2312yes—
783#379C2312yes—
784#379C2314yes—
785#379C2314yes—
786#379C2314yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835#376C2311yescharacteristic
836#376C2311yescharacteristic
837C2×#95C2314yes—
838C43C2311yescharacteristic
839C43C2311yescharacteristic
840C25C2412yes—
841C25C2414yes—
842C2×#41—28no—
843C2×#41—216no—
844C2×#41—216no—
845C2×#41—28no—
846C2×#41—48no—
847C2×#41—48no—
848C2×#41—44no—
849C2×#41—84no—
850C2×#41—84no—
851C22×Q8C2412yes—
852C22×Q8C2414yes—
853C22×Q8C2414yes—
854C22×D4—28no—
855C22×D4—24no—
856C22×D4—24no—
857C22×D4—216no—
858C22×D4—28no—
859C22×D4—28no—
860C22×D4—44no—
861C22×D4—42no—
862C22×D4—44no—
863C22×D4—44no—
864C22×D4—48no—
865C22×D4—84no—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2411yescharacteristic
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2414yes—
879C22×D4C2412yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C23×C4—28no—
889C23×C4—28no—
890C23×C4—44no—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2414yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2414yes—
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2414yes—
908C23×C4C2414yes—
909C23×C4C2414yes—
910C23×C4C2414yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C4⋊Q8—28no—
916C4⋊Q8—216no—
917C4⋊Q8—28no—
918C4⋊Q8—24no—
919C4⋊Q8—44no—
920C4⋊Q8—44no—
921C4⋊Q8—82no—
922#127—28no—
923#127—28no—
924#127—24no—
925#127C2×D418yescomplemented
926#126—216no—
927#126—216no—
928#126—216no—
929#126—216no—
930#125—28no—
931#125—216no—
932#125C2×D418yescomplemented
933#124—28no—
934#124—216no—
935#124—216no—
936#124—216no—
937#124—216no—
938#124—28no—
939#124—44no—
940#124—48no—
941#123—216no—
942#123—216no—
943#123—216no—
944#123—216no—
945#123—216no—
946#123—216no—
947#123—216no—
948#123—216no—
949#123—48no—
950#123—48no—
951#123—84no—
952#123C2×D4116yescomplemented
953#123C2×D4116yescomplemented
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—28no—
957C22⋊Q8—216no—
958C22⋊Q8—216no—
959C22⋊Q8—216no—
960C22⋊Q8—216no—
961C22⋊Q8—48no—
962C22⋊Q8—44no—
963C22⋊Q8—84no—
964#121—28no—
965#121—216no—
966#121—28no—
967#121—216no—
968#121—216no—
969#121—216no—
970#121—216no—
971#121—216no—
972#121—28no—
973#121—28no—
974#121—28no—
975#121—28no—
976#121—28no—
977#121—28no—
978#121—28no—
979#121—216no—
980#121—216no—
981#121—48no—
982#121—48no—
983#121—44no—
984#121—44no—
985#121—44no—
986#121—44no—
987#121—82no—
988#121C2×D418yes—
989#121C2×D418yescomplemented
990#121C2×D4116yescomplemented
991#121C2×D4116yescomplemented
992#120—216no—
993#120—216no—
994#120—216no—
995#120—216no—
996#120—48no—
997#120—48no—
998C4×Q8—28no—
999C4×Q8—28no—
1000C4×D4—28no—
1001C4×D4—28no—
1002C4×D4—216no—
1003C4×D4—216no—
1004C4×D4—24no—
1005C4×D4—24no—
1006C4×D4—24no—
1007C4×D4—216no—
1008C4×D4—216no—
1009C4×D4—216no—
1010C4×D4—216no—
1011C4×D4—28no—
1012C4×D4—28no—
1013C4×D4—216no—
1014C4×D4—24no—
1015C4×D4—216no—
1016C4×D4—216no—
1017C4×D4—216no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—24no—
1021C4×D4—24no—
1022C4×D4—24no—
1023C4×D4—42no—
1024C4×D4—44no—
1025C4×D4—42no—
1026C4×D4—42no—
1027C4×D4—42no—
1028C4×D4—44no—
1029C4×D4—44no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—44no—
1034C4×D4—48no—
1035C4×D4—82no—
1036C4×D4C2×D418yescomplemented
1037C4×D4C2×D418yescomplemented
1038C4×D4#4118yescomplemented
1039#117—28no—
1040#117—216no—
1041#117—28no—
1042#117—28no—
1043#117—28no—
1044#117—216no—
1045#117—28no—
1046#117—28no—
1047#117—216no—
1048#117—28no—
1049#117—28no—
1050#117—42no—
1051#117C2×D418yescomplemented
1052C2×C4⋊C4—216no—
1053C2×C4⋊C4—28no—
1054C2×C4⋊C4—28no—
1055C2×C4⋊C4—28no—
1056C2×C4⋊C4—24no—
1057C2×C4⋊C4—28no—
1058C2×C4⋊C4—44no—
1059C2×C4⋊C4—44no—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C22⋊C4—216no—
1119C2×C22⋊C4—28no—
1120C2×C22⋊C4—28no—
1121C2×C22⋊C4—216no—
1122C2×C22⋊C4—216no—
1123C2×C22⋊C4—28no—
1124C2×C22⋊C4—84no—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C42—28no—
1199C2×C42—28no—
1200C2×C42—24no—
1201C2×C42—44no—
1202C2×C42—44no—
1203C2×C42C2412yes—
1204C2×C42C2412yes—
1205C2×C42C2412yes—
1206C2×C42C2414yes—
1207C2×C42C2414yes—
1208C2×C42C2412yes—
1209C2×C42C2412yes—
1210C2×C42C2412yes—
1211C2×C42C2414yes—
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2412yes—
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2412yes—
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2411yescharacteristic
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234#95C2412yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284C24—24no—
1285C24—24no—
1286C24—24no—
1287C24—28no—
1288C24—28no—
1289C24—42no—
1290C24—42no—
1291C24—42no—
1292C24—44no—
1293C24—42no—
1294C24—44no—
1295C24—44no—
1296C24—44no—
1297C24—44no—
1298C24C2514yes—
1299C24C2512yes—
1300C24C2511yescharacteristic
1301C24C2512yes—
1302C24C2512yes—
1303C24C2512yes—
1304#41—432no—
1305#41—832no—
1306#41—832no—
1307C2×Q8—24no—
1308C2×Q8—28no—
1309C2×Q8—28no—
1310C2×Q8—24no—
1311C2×Q8—24no—
1312C2×Q8—44no—
1313C2×Q8—44no—
1314C2×Q8—44no—
1315C2×Q8—44no—
1316C2×D4—28no—
1317C2×D4—28no—
1318C2×D4—28no—
1319C2×D4—28no—
1320C2×D4—24no—
1321C2×D4—28no—
1322C2×D4—24no—
1323C2×D4—28no—
1324C2×D4—28no—
1325C2×D4—28no—
1326C2×D4—28no—
1327C2×D4—28no—
1328C2×D4—28no—
1329C2×D4—28no—
1330C2×D4—28no—
1331C2×D4—24no—
1332C2×D4—28no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—28no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—22no—
1341C2×D4—24no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—432no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—44no—
1361C2×D4—42no—
1362C2×D4—44no—
1363C2×D4—42no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—42no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—416no—
1376C2×D4—816no—
1377C2×D4—832no—
1378C2×D4C22×D414yes—
1379C2×D4C22×D414yes—
1380C2×D4C22×D418yes—
1381C2×D4C22×D418yes—
1382C2×D4C22×D418yes—
1383C2×D4C22×D418yes—
1384C2×D4C2×#4114yes—
1385C2×D4H(5,𝔽2)14yes—
1386C22×C4—24no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—24no—
1390C22×C4—28no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—28no—
1396C22×C4—28no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—28no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—22no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—28no—
1419C22×C4—28no—
1420C22×C4—28no—
1421C22×C4—22no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—44no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—432no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—42no—
1442C22×C4—44no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—44no—
1447C22×C4—41no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—41no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—44no—
1454C22×C4—42no—
1455C22×C4C22×D414yes—
1456C22×C4C22×D418yes—
1457C22×C4C22×D418yes—
1458C22×C4C2×#4118yes—
1459C22×C4C2512yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2512yes—
1472C22×C4C2514yes—
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2514yes—
1476C22×C4C2514yes—
1477C22×C4C2511yescharacteristic
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2512yes—
1486C22×C4C2511yescharacteristic
1487C22×C4C2511yescharacteristic
1488C4⋊C4—24no—
1489C4⋊C4—28no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—28no—
1497C4⋊C4—28no—
1498C4⋊C4—28no—
1499C4⋊C4—24no—
1500C4⋊C4—28no—
1501C4⋊C4—28no—
1502C4⋊C4—28no—
1503C4⋊C4—28no—
1504C4⋊C4—28no—
1505C4⋊C4—24no—
1506C4⋊C4—22no—
1507C4⋊C4—24no—
1508C4⋊C4—28no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—24no—
1512C4⋊C4—22no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—22no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—22no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—42no—
1523C4⋊C4—42no—
1524C4⋊C4—41no—
1525C4⋊C4—41no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—44no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—42no—
1533C4⋊C4—44no—
1534C4⋊C4—42no—
1535C4⋊C4—44no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—42no—
1539C4⋊C4C22×D414yes—
1540C4⋊C4C22×D414yes—
1541C4⋊C4C22×D414yes—
1542C4⋊C4C22×D414yes—
1543C4⋊C4C22×D418yes—
1544C4⋊C4C22×D418yes—
1545C4⋊C4C2×#4114yes—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—28no—
1549C22⋊C4—28no—
1550C22⋊C4—28no—
1551C22⋊C4—28no—
1552C22⋊C4—28no—
1553C22⋊C4—28no—
1554C22⋊C4—28no—
1555C22⋊C4—24no—
1556C22⋊C4—28no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—28no—
1560C22⋊C4—28no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—28no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—28no—
1569C22⋊C4—28no—
1570C22⋊C4—28no—
1571C22⋊C4—28no—
1572C22⋊C4—28no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—28no—
1578C22⋊C4—42no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—41no—
1586C22⋊C4—41no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4C22×D414yes—
1613C22⋊C4C22×D414yes—
1614C22⋊C4C22×D418yes—
1615C22⋊C4C22×D418yes—
1616C22⋊C4C22×D418yes—
1617C22⋊C4C22×D418yes—
1618C22⋊C4C2×#4118yes—
1619C42—24no—
1620C42—24no—
1621C42—24no—
1622C42—24no—
1623C42—24no—
1624C42—24no—
1625C42—28no—
1626C42—28no—
1627C42—28no—
1628C42—22no—
1629C42—22no—
1630C42—22no—
1631C42—22no—
1632C42—24no—
1633C42—22no—
1634C42—22no—
1635C42—24no—
1636C42—22no—
1637C42—22no—
1638C42—22no—
1639C42—42no—
1640C42—42no—
1641C42—42no—
1642C42—42no—
1643C42—41no—
1644C42—41no—
1645C42—41no—
1646C42—41no—
1647C42C22×D414yes—
1648C42C22×D414yes—
1649C42C2×#4114yes—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—21no—
1656C23—22no—
1657C23—21no—
1658C23—22no—
1659C23—22no—
1660C23—21no—
1661C23—22no—
1662C23—22no—
1663C23—21no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—21no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—21no—
1680C23—24no—
1681C23—24no—
1682C23—24no—
1683C23—24no—
1684C23—24no—
1685C23—24no—
1686C23—24no—
1687C23—48no—
1688C23—48no—
1689C23—48no—
1690C23—416no—
1691C23—84no—
1692C23—84no—
1693C23—84no—
1694C23—88no—
1695C23—88no—
1696C23—88no—
1697C23—88no—
1698C23—84no—
1699C23—164no—
1700C23—164no—
1701C23C23×D414yes—
1702C23C23×D412yes—
1703C23C23×D414yes—
1704C23C22×#4114yes—
1705C23C2×H(5,𝔽2)14yes—
1706C23C2611yescharacteristic
1707Q8—48no—
1708Q8—88no—
1709Q8—88no—
1710D4—28no—
1711D4—28no—
1712D4—28no—
1713D4—28no—
1714D4—48no—
1715D4—48no—
1716D4—48no—
1717D4—48no—
1718D4—416no—
1719D4—416no—
1720D4—48no—
1721D4—416no—
1722D4—416no—
1723D4—416no—
1724D4—48no—
1725D4—48no—
1726D4—84no—
1727D4—88no—
1728D4—88no—
1729D4—88no—
1730D4—88no—
1731D4—88no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—28no—
1751C2×C4—216no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—24no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—24no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—24no—
1773C2×C4—24no—
1774C2×C4—22no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—24no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—24no—
1798C2×C4—24no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—48no—
1807C2×C4—48no—
1808C2×C4—48no—
1809C2×C4—48no—
1810C2×C4—48no—
1811C2×C4—416no—
1812C2×C4—48no—
1813C2×C4—48no—
1814C2×C4—48no—
1815C2×C4—48no—
1816C2×C4—44no—
1817C2×C4—48no—
1818C2×C4—84no—
1819C2×C4—88no—
1820C2×C4—84no—
1821C2×C4—82no—
1822C2×C4—88no—
1823C2×C4—88no—
1824C2×C4—88no—
1825C2×C4—88no—
1826C2×C4—84no—
1827C2×C4—84no—
1828C2×C4C23×D412yes—
1829C2×C4C23×D412yes—
1830C2×C4C23×D412yes—
1831C2×C4C23×D412yes—
1832C2×C4C23×D414yes—
1833C2×C4C23×D414yes—
1834C2×C4C23×D412yes—
1835C2×C4C23×D412yes—
1836C2×C4C22×#4112yes—
1837C2×C4C22×#4114yes—
1838C2×C4C22×#4112yes—
1839C2×C4C22×#4112yes—
1840C2×C4C2×H(5,𝔽2)12yes—
1841C2×C4#58512yes—
1842C2×C4#58512yes—
1843C22—24no—
1844C22—24no—
1845C22—24no—
1846C22—22no—
1847C22—24no—
1848C22—24no—
1849C22—22no—
1850C22—24no—
1851C22—24no—
1852C22—24no—
1853C22—24no—
1854C22—22no—
1855C22—24no—
1856C22—24no—
1857C22—24no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—42no—
1862C22—41no—
1863C22—42no—
1864C22—41no—
1865C22—42no—
1866C22—42no—
1867C22—42no—
1868C22—42no—
1869C22—41no—
1870C22—42no—
1871C22—42no—
1872C22—42no—
1873C22—42no—
1874C22—42no—
1875C22—41no—
1876C22—42no—
1877C22—42no—
1878C22—44no—
1879C22—44no—
1880C22—44no—
1881C22—44no—
1882C22—44no—
1883C22—44no—
1884C22—44no—
1885C22—816no—
1886C22—1616no—
1887C22C24×D411yescharacteristic
1888C22C23×#4111yescharacteristic
1889C22C22×H(5,𝔽2)11yescharacteristic
1890C22C2×#58511yescharacteristic
1891C22C2×#58511yescharacteristic
1892C22H(7,𝔽2)11yescharacteristic
1893C222−1+611yescharacteristic
1894C4—22no—
1895C4—22no—
1896C4—24no—
1897C4—22no—
1898C4—24no—
1899C4—22no—
1900C4—22no—
1901C4—22no—
1902C4—24no—
1903C4—42no—
1904C4—42no—
1905C4—44no—
1906C4—44no—
1907C4—42no—
1908C4—42no—
1909C4—42no—
1910C4—41no—
1911C4—42no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—42no—
1916C4—41no—
1917C4—42no—
1918C4—41no—
1919C4—42no—
1920C4—44no—
1921C4D4×#4114yes—
1922C4#349414yescomplemented
1923C2—44no—
1924C2—44no—
1925C2—42no—
1926C2—44no—
1927C2—44no—
1928C2—84no—
1929C2C2×D4×#4111yescharacteristic
1930C2C2×#349411yescharacteristic
1931C2#6285711yescharacteristic
1932C2#6292111yescharacteristic
1933C2#6293711yescharacteristic
1934C2D4×H(5,𝔽2)11yescharacteristic
1935C2#6298811yescharacteristic
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×#3494C2semidirect
2. #59826C2semidirect
3. #59808C2semidirect
4. #59392C2semidirect
5. #59375C2semidirect
6. #59273C2semidirect
7. #59229C2semidirect
8. #59112C2semidirect
9. #59035C2semidirect
10. #43543C2semidirect
11. #43535C2semidirect
12. #43114C2semidirect
13. #43106C2semidirect
14. #39369C2semidirect
15. #39362C2semidirect
16. #39352C2semidirect
17. #39350C2semidirect
18. #37758C2semidirect
19. #37748C2semidirect
20. #37670C2semidirect
21. #37664C2semidirect
22. #36127C2semidirect
23. #36115C2semidirect
24. #36100C2semidirect
25. D4×#121C2semidirect
26. #35600C2semidirect
27. #35523C2semidirect
28. #35277C2semidirect
29. #35260C2semidirect
30. #34932C2semidirect
31. #34925C2semidirect
32. #34310C2semidirect
33. #34308C2semidirect
34. D4×#117C2semidirect
35. C4×#540C2semidirect
37. C2×#555C22semidirect
38. C2×#553C22semidirect
39. C2×#553C22semidirect
40. C2×#551C22semidirect
41. C2×#551C22semidirect
43. C2×#547C22semidirect
44. C2×#547C22semidirect
45. C2×#546C22semidirect
46. C2×#546C22semidirect
49. C2×#544C22semidirect
51. C2×#542C22semidirect
53. C2×#540C22semidirect
54. C2×#535C22semidirect
55. C2×#532C22semidirect
56. C2×#532C22semidirect
57. C2×#532C22semidirect
58. C2×#529C22semidirect
59. C2×#529C22semidirect
60. C2×#525C22semidirect
62. C2×#520C22semidirect
63. C2×#518C22semidirect
65. C22×#117C22semidirect
66. #2868C22semidirect
67. #2858C22semidirect
68. #2857C22semidirect
69. #2857C22semidirect
71. #2850C22semidirect
72. #2848C22semidirect
74. #2725C22semidirect
75. #2723C22semidirect
76. #2720C22semidirect
77. #2717C22semidirect
78. #2706C22semidirect
79. #2706C22semidirect
80. #2701C22semidirect
81. #2698C22semidirect
82. #2693C22semidirect
83. #2691C22semidirect
84. #2688C22semidirect
85. #2686C22semidirect
86. #2686C22semidirect
87. #2684C22semidirect
88. #2681C22semidirect
89. #2678C22semidirect
90. #2678C22semidirect
91. #2678C22semidirect
92. #2677C22semidirect
93. #2674C22semidirect
94. #2672C22semidirect
95. #2671C22semidirect
96. #2668C22semidirect
97. #2668C22semidirect
98. #2640C22semidirect
99. #2628C22semidirect
100. #2625C22semidirect
101. #2624C22semidirect
102. #2620C22semidirect
103. #2620C22semidirect
104. #2600C22semidirect
105. #2600C22semidirect
106. #2579C22semidirect
107. #2555C22semidirect
108. #2553C22semidirect
109. #2552C22semidirect
110. #2551C22semidirect
111. #2551C22semidirect
112. #2547C22semidirect
113. #2547C22semidirect
114. #2547C22semidirect
116. #2542C22semidirect
118. #2541C22semidirect
120. #2537C22semidirect
121. #2537C22semidirect
122. #2537C22semidirect
123. #2534C22semidirect
124. #2512C22semidirect
125. #2512C22semidirect
126. #2512C22semidirect
127. #2506C22semidirect
128. #2501C22semidirect
129. #2496C22semidirect
130. #2496C22semidirect
131. #2491C22semidirect
132. #2491C22semidirect
133. #2491C22semidirect
134. #2491C22semidirect
135. #2489C22semidirect
136. #2486C22semidirect
137. #2485C22semidirect
138. #2482C22semidirect
139. #2481C22semidirect
140. #2480C22semidirect
141. #2480C22semidirect
142. #2479C22semidirect
143. #2477C22semidirect
144. #2477C22semidirect
145. #2476C22semidirect
146. #2474C22semidirect
147. #2474C22semidirect
148. #2472C22semidirect
149. #2471C22semidirect
150. #2470C22semidirect
151. #2467C22semidirect
152. #2466C22semidirect
153. #2464C22semidirect
154. #2461C22semidirect
155. #2460C22semidirect
156. #2457C22semidirect
157. #2455C22semidirect
158. #2455C22semidirect
159. #2454C22semidirect
161. #2452C22semidirect
162. #2452C22semidirect
163. #2451C22semidirect
164. #2449C22semidirect
165. #2447C22semidirect
166. #2445C22semidirect
167. #2445C22semidirect
168. #2444C22semidirect
169. #2444C22semidirect
170. #2441C22semidirect
171. #2440C22semidirect
172. #2440C22semidirect
173. #2439C22semidirect
174. #2437C22semidirect
175. #2435C22semidirect
176. #2435C22semidirect
177. #2432C22semidirect
178. #2431C22semidirect
179. #2430C22semidirect
181. #2428C22semidirect
182. #2428C22semidirect
183. #2427C22semidirect
184. #2427C22semidirect
185. #2427C22semidirect
186. #2426C22semidirect
187. #2425C22semidirect
190. #2422C22semidirect
191. #2422C22semidirect
192. #2422C22semidirect
193. #2422C22semidirect
194. #2422C22semidirect
195. #2422C22semidirect
196. #2422C22semidirect
197. #2420C22semidirect
198. #2418C22semidirect
199. #2418C22semidirect
200. #2418C22semidirect
201. #2418C22semidirect
204. #2416C22semidirect
205. #2416C22semidirect
206. #2416C22semidirect
207. #2415C22semidirect
213. #2407C22semidirect
214. #2407C22semidirect
215. #2406C22semidirect
216. #2405C22semidirect
217. #2404C22semidirect
218. #2395C22semidirect
219. #2388C22semidirect
220. #2366C22semidirect
221. #2366C22semidirect
222. #2365C22semidirect
223. #2363C22semidirect
225. #2361C22semidirect
226. #2361C22semidirect
227. #2360C22semidirect
228. #2359C22semidirect
229. #2358C22semidirect
233. #2354C22semidirect
234. #2352C22semidirect
235. #2352C22semidirect
237. D4×C4⋊C4C22semidirect
238. D4×C4⋊C4C22semidirect
239. D4×C4⋊C4C22semidirect
240. D4×C4⋊C4C22semidirect
241. D4×C4⋊C4C22semidirect
242. D4×C4⋊C4C22semidirect
243. #2344C22semidirect
244. #2344C22semidirect
245. #2344C22semidirect
246. #2342C22semidirect
247. #2342C22semidirect
248. #2339C22semidirect
253. D4×C22⋊C4C22semidirect
254. #2335C22semidirect
255. #2335C22semidirect
256. #2333C22semidirect
257. #2333C22semidirect
258. #2330C22semidirect
259. #2328C22semidirect
260. #2326C22semidirect
262. #2324C22semidirect
263. #2324C22semidirect
264. #2323C22semidirect
265. #2322C22semidirect
266. #2321C22semidirect
267. #2319C22semidirect
268. #2319C22semidirect
269. #2314C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×#127C22semidirect
272. C4×#127C22semidirect
273. C4×#125C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×#123C22semidirect
276. C4×#123C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
289. C2×#389C22semidirect
290. #2290C22semidirect
291. #2290C22semidirect
292. #2285C22semidirect
293. #2285C22semidirect
294. #2280C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect
299. C4×#117C22semidirect
324. #540D4semidirect
925. #127C2×D4semidirect
932. #125C2×D4semidirect
952. #123C2×D4semidirect
953. #123C2×D4semidirect
989. #121C2×D4semidirect
990. #121C2×D4semidirect
991. #121C2×D4semidirect
1036. C4×D4C2×D4semidirect
1037. C4×D4C2×D4semidirect
1038. C4×D4#41semidirect
1051. #117C2×D4semidirect
1922. C4#3494semidirect

Maximal subgroups

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

subgroupindex
C2×#34942
#598262
#598082
#593922
#593752
#592732
#592292
#591122
#590352
#435432
#435352
#431142
#431062
#393692
#393622
#393522
#393502
#377582
#377482
#376702
#376642
#361272
#361152
#361002
D4×#1212
#356002
#355232
#352772
#352602
#349322
#349252
#343102
#343082
D4×#1172
C4×#5402