Finite Group Databasebeta

← #7720079

Subgroups — #7720079

Order 512.

6829 conjugacy classes of subgroups.

The subgroup lattice has 1950 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3544C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#51409C214yesmaximal, complemented
4#51316C214yesmaximal, complemented
5#50891C214yesmaximal, complemented
6#50888C214yesmaximal, complemented
7#45412C212yesmaximal, complemented
8#45353C212yesmaximal, complemented
9#45264C212yesmaximal, complemented
10#45227C212yesmaximal, complemented
11#45157C212yesmaximal, complemented
12#45079C212yesmaximal, complemented
13#44941C212yesmaximal, complemented
14#44928C212yesmaximal, complemented
15#39598C211yesmaximal, characteristic, complemented
16#39597C211yesmaximal, characteristic, complemented
17#38922C211yesmaximal, characteristic, complemented
18#38921C211yesmaximal, characteristic, complemented
19#38920C212yesmaximal, complemented
20#38915C212yesmaximal, complemented
21#37847C212yesmaximal, complemented
22#37839C212yesmaximal, complemented
23#37279C212yesmaximal, complemented
24#37277C212yesmaximal, complemented
25#36492C211yesmaximal, characteristic, complemented
26#36456C211yesmaximal, characteristic, complemented
27#36160C211yesmaximal, characteristic, complemented
28#36154C211yesmaximal, characteristic, complemented
29#35279C211yesmaximal, characteristic, complemented
30#35279C211yesmaximal, characteristic, complemented
31#35260C212yesmaximal, complemented
32#35253C212yesmaximal, complemented
33#35189C211yesmaximal, characteristic, complemented
34#34614C211yesmaximal, characteristic, complemented
35#34383C211yesmaximal, characteristic, complemented
36#3544—216no—
37C2×#563C2214yescomplemented
38C2×Q82C2211yescharacteristic, complemented
39#3475—216no—
40C2×#556C2211yescharacteristic
41C2×#555C2211yescharacteristic
42C2×#555C2211yescharacteristic
43C2×#554C2211yescharacteristic
44C2×#554C2211yescharacteristic
45C2×#554C2211yescharacteristic, complemented
46C2×#553C2212yes—
47C2×#552C2211yescharacteristic
48C2×#552C2212yes—
49C2×#552C2211yescharacteristic
50C2×#552C2212yescomplemented
51C2×#552C2212yescomplemented
52C2×#551C2212yes—
53C2×#551C2212yes—
54C2×#547C2212yes—
55C2×#547C2211yescharacteristic
56C2×#547C2212yescomplemented
57C2×#546C2211yescharacteristic
58C2×#546C2211yescharacteristic
59C2×#544C2212yescomplemented
60C2×#544C2212yescomplemented
61C2×#542C2212yes—
62C2×#542C2212yescomplemented
63C2×#536C2214yescomplemented
64C2×#533C2211yescharacteristic
65C22×C4⋊Q8C2211yescharacteristic, complemented
66C2×#529C2212yes—
67C2×#529C2211yescharacteristic
68C2×#529C2212yes—
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic, complemented
71C2×#525C2212yes—
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C22×C4×D4C2211yescharacteristic
76C22×#117C2212yes—
77#2857C2211yescharacteristic
78#2857C2211yescharacteristic
79#2857C2212yescomplemented
80#2857C2211yescharacteristic, complemented
81#2857C2211yescharacteristic, complemented
82#2857C2212yescomplemented
83#2857C2212yescomplemented
84#2851C2212yescomplemented
85#2851C2212yescomplemented
86#2850C2212yescomplemented
87#2848C2212yes—
88#2847C2212yes—
89#2725C2214yescomplemented
90#2720C2214yescomplemented
91#2719C2214yescomplemented
92#2719C2214yescomplemented
93#2718C2214yescomplemented
94#2718C2214yescomplemented
95#2717C2214yescomplemented
96#2716C2214yescomplemented
97#2715C2214yescomplemented
98#2715C2214yescomplemented
99#2713C2214yescomplemented
100#2708C2214yes—
101#2706C2214yes—
102#2706C2214yes—
103#2706C2214yescomplemented
104#2705C2214yescomplemented
105#2704C2214yescomplemented
106#2703C2214yescomplemented
107#2702C2214yescomplemented
108#2701C2214yescomplemented
109#2698C2214yescomplemented
110#2698C2214yescomplemented
111#2697C2214yes—
112#2696C2214yes—
113#2694C2214yescomplemented
114#2693C2214yes—
115#2692C2214yescomplemented
116#2689C2214yescomplemented
117#2687C2214yes—
118#2685C2214yes—
119#2683C2214yes—
120#2683C2214yescomplemented
121#2681C2214yes—
122#2680C2214yescomplemented
123#2677C2214yes—
124#2677C2214yescomplemented
125#2676C2214yes—
126#2674C2214yescomplemented
127#2672C2214yescomplemented
128#2672C2214yescomplemented
129#2637C2212yescomplemented
130#2636C2212yes—
131#2630C2212yes—
132#2630C2212yescomplemented
133#2630C2214yescomplemented
134#2629C2211yescharacteristic
135#2629C2212yes—
136#2629C2211yescharacteristic, complemented
137#2628C2212yes—
138#2628C2212yes—
139#2628C2212yescomplemented
140#2628C2214yescomplemented
141#2625C2211yescharacteristic, complemented
142#2625C2212yescomplemented
143#2624C2211yescharacteristic, complemented
144#2624C2212yescomplemented
145#2620C2211yescharacteristic
146#2620C2211yescharacteristic, complemented
147#2616C2211yescharacteristic
148#2615C2211yescharacteristic
149#2601C2214yescomplemented
150#2584C2212yescomplemented
151#2582C2211yescharacteristic, complemented
152#2581C2212yescomplemented
153#2568C2212yescomplemented
154#2568C2212yescomplemented
155#2567C2211yescharacteristic, complemented
156#2567C2211yescharacteristic, complemented
157#2567C2212yescomplemented
158#2563C2212yes—
159#2563C2211yescharacteristic
160#2563C2211yescharacteristic
161#2563C2212yescomplemented
162#2562C2212yescomplemented
163#2558C2214yes—
164#2556C2214yescomplemented
165#2553C2214yes—
166#2552C2212yescomplemented
167#2551C2212yescomplemented
168#2546C2212yescomplemented
169#2542C2212yes—
170#2542C2212yes—
171#2542C2214yescomplemented
172#2539C2214yes—
173#2538C2212yes—
174#2538C2211yescharacteristic
175#2538C2212yescomplemented
176#2538C2211yescharacteristic, complemented
177#2538C2212yescomplemented
178#2537C2212yes—
179#2537C2211yescharacteristic
180#2535C2212yescomplemented
181#2496C2214yescomplemented
182#2492C2212yes—
183#2489C2214yescomplemented
184#2489C2212yescomplemented
185#2488C2214yescomplemented
186#2487C2212yes—
187#2487C2212yes—
188#2487C2212yescomplemented
189#2487C2212yescomplemented
190#2487C2212yescomplemented
191#2486C2212yescomplemented
192#2485C2212yes—
193#2485C2212yescomplemented
194#2485C2212yescomplemented
195#2481C2214yescomplemented
196#2479C2214yes—
197#2478C2214yescomplemented
198#2477C2214yes—
199#2477C2214yescomplemented
200#2476C2214yescomplemented
201#2474C2214yescomplemented
202#2472C2214yes—
203#2472C2214yes—
204#2470C2214yes—
205#2470C2214yescomplemented
206#2470C2214yescomplemented
207#2463C2214yescomplemented
208#2459C2214yes—
209#2454C2212yes—
210#2452C2212yes—
211#2452C2214yescomplemented
212#2450C2214yes—
213#2449C2214yescomplemented
214#2447C2212yes—
215#2446C2212yescomplemented
216#2442C2212yes—
217#2442C2214yescomplemented
218#2441C2214yes—
219#2441C2212yescomplemented
220#2440C2214yescomplemented
221#2440C2212yescomplemented
222#2439C2214yes—
223#2439C2212yescomplemented
224#2439C2214yescomplemented
225#2438C2214yescomplemented
226#2438C2214yescomplemented
227#2437C2214yes—
228#2437C2214yes—
229#2437C2214yes—
230#2432C2214yescomplemented
231#2430C2214yescomplemented
232#2429C2212yescomplemented
233#2427C2212yes—
234#2423C2212yes—
235#2422C2212yes—
236#2421C2212yescomplemented
237#2420C2212yes—
238#2418C2214yes—
239#2417C2212yes—
240#2417C2212yes—
241#2416C2212yescomplemented
242#2415C2212yescomplemented
243#2415C2212yescomplemented
244#2415C2212yescomplemented
245#2414C2212yes—
246#2414C2212yescomplemented
247#2409C2212yes—
248#2409C2212yescomplemented
249#2409C2214yescomplemented
250#2408C2212yes—
251#2407C2214yes—
252#2407C2212yes—
253#2407C2212yes—
254#2404C2214yes—
255#2396C2212yescomplemented
256#2392C2212yes—
257#2392C2212yes—
258#2392C2212yescomplemented
259#2376C2214yescomplemented
260#2370C2212yescomplemented
261#2367C2212yes—
262#2363C2212yes—
263#2361C2212yes—
264#2355C2211yescharacteristic, complemented
265#2354C2211yescharacteristic
266#2354C2212yescomplemented
267#2352C2212yes—
268#2352C2212yescomplemented
269#2352C2212yescomplemented
270#2351C2212yescomplemented
271Q8×C4⋊C4C2211yescharacteristic, complemented
272#2349C2212yes—
273D4×C4⋊C4C2211yescharacteristic
274#2341C2212yes—
275D4×C22⋊C4C2212yes—
276#2334C2214yescomplemented
277#2324C2212yes—
278#2324C2212yes—
279#2324C2212yes—
280#2323C2212yes—
281#2323C2212yescomplemented
282#2323C2212yescomplemented
283#2317C2212yescomplemented
284#2317C2212yescomplemented
285#2317C2212yescomplemented
286#2317C2212yescomplemented
287#2316C2212yescomplemented
288#2314C2212yescomplemented
289#2311C2212yes—
290#2311C2212yes—
291C4×C22⋊Q8C2211yescharacteristic
292C4×C22⋊Q8C2212yescomplemented
293C4×C22⋊Q8C2211yescharacteristic, complemented
294C4×#121C2211yescharacteristic
295C4×#121C2212yescomplemented
296C4×#121C2211yescharacteristic, complemented
297#2285C2211yescharacteristic, complemented
298#2285C2211yescharacteristic, complemented
299#2280C2212yes—
300C2×#380C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2314yes—
305C23×Q8C2312yes—
306C23×D4C2311yescharacteristic
307C24×C4C2312yes—
308#563—232no—
309Q82—28no—
310#556—28no—
311#555—28no—
312#555—28no—
313#554—28no—
314#554—28no—
315#554—28no—
316#553—216no—
317#552—216no—
318#552—28no—
319#552—28no—
320#552—216no—
321#552—216no—
322#551—216no—
323#551—216no—
324#547—28no—
325#547—216no—
326#547—216no—
327#546—28no—
328#546—28no—
329#544—216no—
330#544—216no—
331#542—216no—
332#542—216no—
333#536—232no—
334#533—28no—
335C2×C4⋊Q8—28no—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2314yes—
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2314yes—
348#529—216no—
349#529—28no—
350#529—216no—
351#529—28no—
352#529D4116yescomplemented
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#126C2312yes—
362C2×#125C2312yes—
363C2×#125C2311yescharacteristic
364C2×#125C2311yescharacteristic
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#125C2314yes—
369C2×#125C2312yes—
370C2×#125C2314yes—
371C2×#125C2311yescharacteristic
372C2×#124C2311yescharacteristic
373C2×#124C2312yes—
374C2×#124C2311yescharacteristic
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#124C2314yes—
378C2×#124C2311yescharacteristic
379#525—216no—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2314yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2314yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2314yes—
437C2×#121C2311yescharacteristic
438C2×#120C2312yes—
439C2×#120C2312yes—
440C2×#120C2314yes—
441C4×#41—28no—
442C4×#41—28no—
443C4×#41—28no—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×D4—28no—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×#117—216no—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2311yescharacteristic
488C2×#117C2311yescharacteristic
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2311yescharacteristic
494C2×#117C2311yescharacteristic
495C2×#117C2311yescharacteristic
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2314yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2311yescharacteristic
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2312yes—
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2312yes—
516C22×C22⋊C4C2312yes—
517C22×C22⋊C4C2314yes—
518C22×C42C2312yes—
519C22×C42C2312yes—
520C22×C42C2311yescharacteristic
521C22×C42C2311yescharacteristic
522C22×C42C2311yescharacteristic
523#400C2314yes—
524#400C2314yes—
525#400C2314yes—
526#400C2314yes—
527#400C2314yes—
528#400C2314yes—
529#400C2312yes—
530#400C2314yes—
531#400C2314yes—
532#400C2314yes—
533#399C2312yes—
534#399C2314yes—
535#399C2314yes—
536#399C2314yes—
537#399C2314yes—
538#399C2314yes—
539#399C2314yes—
540#399C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2312yes—
544#398C2314yes—
545#398C2312yes—
546#398C2312yes—
547#398C2314yes—
548#398C2314yes—
549#398C2312yes—
550#398C2312yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#397C2312yes—
556#397C2314yes—
557#397C2312yes—
558#397C2312yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2312yes—
570#396C2312yes—
571#396C2312yes—
572#396C2312yes—
573#396C2312yes—
574#396C2312yes—
575#396C2314yes—
576#396C2314yes—
577#396C2312yes—
578#396C2312yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#395C2314yes—
586#395C2314yes—
587#395C2314yes—
588#395C2314yes—
589#395C2314yes—
590#395C2314yes—
591#395C2312yes—
592#395C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2312yes—
596#394C2312yes—
597#394C2312yes—
598#394C2312yes—
599#394C2312yes—
600#394C2312yes—
601#394C2312yes—
602#394C2312yes—
603#394C2312yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#393C2314yes—
614#393C2314yes—
615#393C2314yes—
616#393C2314yes—
617#393C2314yes—
618#393C2314yes—
619#393C2312yes—
620#393C2314yes—
621#392C2312yes—
622#392C2312yes—
623#392C2312yes—
624#392C2314yes—
625#392C2314yes—
626#392C2314yes—
627#391C2312yes—
628#391C2312yes—
629#391C2314yes—
630#391C2312yes—
631#391C2312yes—
632#391C2312yes—
633#391C2312yes—
634#391C2314yes—
635#391C2314yes—
636#391C2312yes—
637#391C2312yes—
638#391C2312yes—
639#391C2311yescharacteristic
640#391C2314yes—
641#391C2311yescharacteristic
642#391C2314yes—
643#390C2312yes—
644#390C2312yes—
645#390C2314yes—
646#390C2314yes—
647#390C2312yes—
648#390C2312yes—
649#390C2314yes—
650#390C2312yes—
651#390C2314yes—
652#390C2314yes—
653#390C2314yes—
654#390C2314yes—
655#390C2311yescharacteristic
656#390C2311yescharacteristic
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2311yescharacteristic
666#389C2312yes—
667#389C2312yes—
668#389C2314yes—
669#389C2314yes—
670#389C2312yes—
671#389C2311yescharacteristic
672#389C2314yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2314yes—
677#389C2314yes—
678#389C2314yes—
679#389C2314yes—
680#389C2314yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2311yescharacteristic
686#389C2314yes—
687#389C2314yes—
688#389C2314yes—
689#389C2314yes—
690#389C2314yes—
691#389C2311yescharacteristic
692#389C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2312yes—
711#388C2312yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2312yes—
728#387C2312yes—
729#387C2314yes—
730#387C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2312yes—
747#386C2312yes—
748#386C2314yes—
749#386C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2312yes—
769#385C2312yes—
770#385C2314yes—
771#384C2312yes—
772#384C2312yes—
773#384C2314yes—
774#384C2311yescharacteristic
775#384C2311yescharacteristic
776#384C2312yes—
777#384C2314yes—
778#384C2311yescharacteristic
779#384C2311yescharacteristic
780#382C2312yes—
781#382C2312yes—
782#382C2314yes—
783#382C2314yes—
784#382C2312yes—
785#382C2312yes—
786#382C2314yes—
787#382C2312yes—
788#381C2314yes—
789#381C2314yes—
790#380C2311yescharacteristic
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2311yescharacteristic
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2314yes—
807#380C2314yes—
808#380C2312yes—
809#380C2312yes—
810#380C2314yes—
811#380C2314yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2314yes—
816#380C2314yes—
817#380C2311yescharacteristic
818#380C2311yescharacteristic
819#380C2311yescharacteristic
820#380C2311yescharacteristic
821#380C2312yes—
822#380C2312yes—
823#380C2314yes—
824#380C2314yes—
825#380C2314yes—
826#379C2314yes—
827#379C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2314yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2314yes—
850C2×#95C2314yes—
851C25C2412yes—
852C2×#41—24no—
853C2×#41—216no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—42no—
860C2×#41—42no—
861C2×#41—42no—
862C2×#41—84no—
863C2×#41—84no—
864C22×Q8—28no—
865C22×Q8—82no—
866C22×Q8—82no—
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2411yescharacteristic
871C22×Q8C2412yes—
872C22×Q8C2412yes—
873C22×Q8C2414yes—
874C22×Q8C2414yes—
875C22×Q8C2412yes—
876C22×D4—24no—
877C22×D4—24no—
878C22×D4—42no—
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C23×C4—28no—
896C23×C4—28no—
897C23×C4—44no—
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2414yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2411yescharacteristic
919C23×C4C2414yes—
920C23×C4C2411yescharacteristic
921C4⋊Q8—24no—
922C4⋊Q8—24no—
923C4⋊Q8—216no—
924C4⋊Q8—216no—
925C4⋊Q8—28no—
926C4⋊Q8—28no—
927C4⋊Q8—28no—
928C4⋊Q8—24no—
929C4⋊Q8—24no—
930C4⋊Q8—28no—
931C4⋊Q8—28no—
932C4⋊Q8—84no—
933#126—28no—
934#126—216no—
935#126—28no—
936#126—28no—
937#126—28no—
938#126—28no—
939#126—216no—
940#126—28no—
941#126C2×D4116yes—
942#125—28no—
943#125—28no—
944#125—24no—
945#125—28no—
946#125—28no—
947#125—216no—
948#125—216no—
949#125—24no—
950#125—28no—
951#125C2×D418yes—
952#124—24no—
953#124—28no—
954#124—28no—
955#124—216no—
956#124—216no—
957#124—24no—
958#124C2×D418yes—
959#123—216no—
960#123—28no—
961#123—28no—
962#123—28no—
963#123—28no—
964#123—28no—
965#123—28no—
966#123—28no—
967#123—28no—
968#123—216no—
969#123—216no—
970#123—216no—
971#123—84no—
972#123C2×D4116yes—
973C22⋊Q8—24no—
974C22⋊Q8—28no—
975C22⋊Q8—24no—
976C22⋊Q8—28no—
977C22⋊Q8—24no—
978C22⋊Q8—28no—
979C22⋊Q8—24no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—24no—
983C22⋊Q8—28no—
984C22⋊Q8—216no—
985C22⋊Q8—216no—
986C22⋊Q8—216no—
987C22⋊Q8—28no—
988C22⋊Q8—216no—
989C22⋊Q8—216no—
990C22⋊Q8—216no—
991C22⋊Q8—44no—
992C22⋊Q8—42no—
993C22⋊Q8—44no—
994C22⋊Q8—82no—
995C22⋊Q8—84no—
996C22⋊Q8—84no—
997C22⋊Q8—84no—
998C22⋊Q8—82no—
999C22⋊Q8—82no—
1000C22⋊Q8—84no—
1001C22⋊Q8—82no—
1002C22⋊Q8C2×D418yes—
1003#121—28no—
1004#121—28no—
1005#121—24no—
1006#121—28no—
1007#121—28no—
1008#121—24no—
1009#121—28no—
1010#121—24no—
1011#121—28no—
1012#121—28no—
1013#121—42no—
1014#121—44no—
1015#121—84no—
1016#121C2×D418yes—
1017#120—28no—
1018#120—28no—
1019#120—84no—
1020C4×Q8—24no—
1021C4×Q8—28no—
1022C4×Q8—24no—
1023C4×Q8—24no—
1024C4×Q8—24no—
1025C4×Q8—24no—
1026C4×Q8—28no—
1027C4×Q8—24no—
1028C4×Q8—28no—
1029C4×Q8—44no—
1030C4×Q8C2×D418yes—
1031C4×D4—24no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—24no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—28no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—24no—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—24no—
1052C4×D4—28no—
1053C4×D4—44no—
1054C4×D4—44no—
1055C4×D4—44no—
1056C4×D4—84no—
1057C4×D4C2×D418yes—
1058C4×D4C2×D4116yes—
1059#117—28no—
1060#117—24no—
1061#117—24no—
1062#117—28no—
1063#117—28no—
1064#117—28no—
1065#117—28no—
1066#117—24no—
1067#117—28no—
1068#117—28no—
1069#117—28no—
1070#117—216no—
1071#117—24no—
1072#117—28no—
1073#117—24no—
1074#117—28no—
1075#117—28no—
1076#117—44no—
1077#117—44no—
1078#117—44no—
1079#117C2×D4116yes—
1080C2×C4⋊C4—28no—
1081C2×C4⋊C4—28no—
1082C2×C4⋊C4—28no—
1083C2×C4⋊C4—28no—
1084C2×C4⋊C4—28no—
1085C2×C4⋊C4—24no—
1086C2×C4⋊C4—28no—
1087C2×C4⋊C4—44no—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C22⋊C4—28no—
1167C2×C22⋊C4—28no—
1168C2×C22⋊C4—28no—
1169C2×C22⋊C4—84no—
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C42—28no—
1236C2×C42—28no—
1237C2×C42—24no—
1238C2×C42—24no—
1239C2×C42C2×D418yes—
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2414yes—
1244C2×C42C2412yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2414yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255C2×C42C2411yescharacteristic
1256C2×C42C2414yes—
1257C2×C42C2414yes—
1258C2×C42C2414yes—
1259C2×C42C2414yes—
1260C2×C42C2411yescharacteristic
1261C2×C42C2412yes—
1262C2×C42C2411yescharacteristic
1263C2×C42C2411yescharacteristic
1264C2×C42C2411yescharacteristic
1265#95C2412yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2412yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311C24—24no—
1312C24—24no—
1313C24—24no—
1314C24—42no—
1315C24—42no—
1316C24—42no—
1317C24—42no—
1318C24C2512yes—
1319C24C2511yescharacteristic
1320C24C2512yes—
1321C24C2511yescharacteristic
1322C24C2511yescharacteristic
1323C24C2512yes—
1324#41—416no—
1325#41—416no—
1326#41—416no—
1327#41—832no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—22no—
1331C2×Q8—24no—
1332C2×Q8—24no—
1333C2×Q8—28no—
1334C2×Q8—28no—
1335C2×Q8—24no—
1336C2×Q8—22no—
1337C2×Q8—22no—
1338C2×Q8—22no—
1339C2×Q8—22no—
1340C2×Q8—22no—
1341C2×Q8—22no—
1342C2×Q8—22no—
1343C2×Q8—41no—
1344C2×Q8—42no—
1345C2×Q8—42no—
1346C2×Q8—42no—
1347C2×Q8—44no—
1348C2×Q8—44no—
1349C2×Q8—42no—
1350C2×Q8—42no—
1351C2×Q8—44no—
1352C2×Q8—42no—
1353C2×Q8—44no—
1354C2×Q8—816no—
1355C2×Q8C22×D414yes—
1356C2×D4—22no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—22no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—28no—
1368C2×D4—24no—
1369C2×D4—28no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—42no—
1381C2×D4—41no—
1382C2×D4—42no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—44no—
1393C2×D4—42no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—44no—
1400C2×D4—42no—
1401C2×D4—416no—
1402C2×D4C22×D414yes—
1403C2×D4C22×D418yes—
1404C2×D42−1+414yes—
1405C22×C4—22no—
1406C22×C4—24no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—28no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—28no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—24no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—22no—
1444C22×C4—28no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—432no—
1455C22×C4—44no—
1456C22×C4—42no—
1457C22×C4—44no—
1458C22×C4—42no—
1459C22×C4—41no—
1460C22×C4—42no—
1461C22×C4—41no—
1462C22×C4—41no—
1463C22×C4—42no—
1464C22×C4—41no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4C22×D414yes—
1471C22×C4C22×D414yes—
1472C22×C4C22×D418yes—
1473C22×C4C22×D414yes—
1474C22×C42−1+414yes—
1475C22×C4C2512yes—
1476C22×C4C2514yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2512yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2512yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2514yes—
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2514yes—
1489C22×C4C2512yes—
1490C22×C4C2514yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2512yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2511yescharacteristic
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2512yes—
1501C22×C4C2511yescharacteristic
1502C22×C4C2511yescharacteristic
1503C22×C4C2511yescharacteristic
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—28no—
1518C4⋊C4—28no—
1519C4⋊C4—28no—
1520C4⋊C4—28no—
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—22no—
1529C4⋊C4—22no—
1530C4⋊C4—28no—
1531C4⋊C4—28no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—28no—
1540C4⋊C4—28no—
1541C4⋊C4—24no—
1542C4⋊C4—22no—
1543C4⋊C4—24no—
1544C4⋊C4—22no—
1545C4⋊C4—24no—
1546C4⋊C4—22no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—22no—
1550C4⋊C4—24no—
1551C4⋊C4—44no—
1552C4⋊C4—42no—
1553C4⋊C4—42no—
1554C4⋊C4—42no—
1555C4⋊C4—42no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—42no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4—44no—
1563C4⋊C4—42no—
1564C4⋊C4—42no—
1565C4⋊C4—42no—
1566C4⋊C4—42no—
1567C4⋊C4—44no—
1568C4⋊C4—44no—
1569C4⋊C4—42no—
1570C4⋊C4—44no—
1571C4⋊C4—44no—
1572C4⋊C4—44no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—42no—
1576C4⋊C4C22×D414yes—
1577C4⋊C4C22×D414yes—
1578C4⋊C4C22×D418yes—
1579C4⋊C4C22×D418yes—
1580C4⋊C4C22×D418yes—
1581C4⋊C4C22×D418yes—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—22no—
1587C22⋊C4—24no—
1588C22⋊C4—22no—
1589C22⋊C4—28no—
1590C22⋊C4—24no—
1591C22⋊C4—28no—
1592C22⋊C4—28no—
1593C22⋊C4—24no—
1594C22⋊C4—22no—
1595C22⋊C4—22no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—22no—
1603C22⋊C4—24no—
1604C22⋊C4—22no—
1605C22⋊C4—24no—
1606C22⋊C4—28no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—28no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—42no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—42no—
1618C22⋊C4—42no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—42no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—42no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—42no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—42no—
1642C22⋊C4C22×D418yes—
1643C22⋊C4C22×D418yes—
1644C22⋊C4C22×D418yes—
1645C22⋊C4C22×D418yes—
1646C22⋊C4C22×D418yes—
1647C42—22no—
1648C42—24no—
1649C42—24no—
1650C42—22no—
1651C42—24no—
1652C42—24no—
1653C42—24no—
1654C42—22no—
1655C42—22no—
1656C42—22no—
1657C42—22no—
1658C42—28no—
1659C42—24no—
1660C42—28no—
1661C42—24no—
1662C42—24no—
1663C42—44no—
1664C42—44no—
1665C42—44no—
1666C42—44no—
1667C42C22×D414yes—
1668C42C22×D414yes—
1669C42C22×D418yes—
1670C42C22×D414yes—
1671C42C22×D414yes—
1672C23—21no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—22no—
1680C23—21no—
1681C23—21no—
1682C23—22no—
1683C23—22no—
1684C23—21no—
1685C23—22no—
1686C23—21no—
1687C23—22no—
1688C23—22no—
1689C23—21no—
1690C23—22no—
1691C23—21no—
1692C23—22no—
1693C23—21no—
1694C23—21no—
1695C23—22no—
1696C23—22no—
1697C23—21no—
1698C23—22no—
1699C23—21no—
1700C23—21no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—21no—
1705C23—21no—
1706C23—21no—
1707C23—21no—
1708C23—22no—
1709C23—22no—
1710C23—48no—
1711C23—48no—
1712C23—48no—
1713C23—84no—
1714C23—84no—
1715C23—84no—
1716C23—84no—
1717C23C23×D414yes—
1718C23C23×D412yes—
1719C23C2×2−1+412yes—
1720C23C2×2−1+414yes—
1721C23C2611yescharacteristic
1722Q8—28no—
1723Q8—44no—
1724Q8—44no—
1725Q8—44no—
1726Q8—84no—
1727Q8—84no—
1728Q8—88no—
1729Q8—84no—
1730Q8—88no—
1731D4—28no—
1732D4—28no—
1733D4—48no—
1734D4—44no—
1735D4—44no—
1736D4—48no—
1737D4—48no—
1738D4—44no—
1739D4—48no—
1740D4—48no—
1741D4—44no—
1742D4—84no—
1743D4—84no—
1744D4—88no—
1745D4—88no—
1746D4—84no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—28no—
1764C2×C4—216no—
1765C2×C4—28no—
1766C2×C4—28no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—24no—
1778C2×C4—22no—
1779C2×C4—24no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—24no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—24no—
1797C2×C4—24no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—24no—
1808C2×C4—22no—
1809C2×C4—24no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—21no—
1816C2×C4—24no—
1817C2×C4—24no—
1818C2×C4—24no—
1819C2×C4—24no—
1820C2×C4—22no—
1821C2×C4—21no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—44no—
1825C2×C4—48no—
1826C2×C4—48no—
1827C2×C4—48no—
1828C2×C4—48no—
1829C2×C4—48no—
1830C2×C4—416no—
1831C2×C4—48no—
1832C2×C4—48no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—82no—
1837C2×C4—84no—
1838C2×C4—82no—
1839C2×C4—84no—
1840C2×C4—88no—
1841C2×C4—88no—
1842C2×C4—164no—
1843C2×C4C23×D414yes—
1844C2×C4C23×D412yes—
1845C2×C4C23×D412yes—
1846C2×C4C23×D412yes—
1847C2×C4C23×D414yes—
1848C2×C4C23×D414yes—
1849C2×C4C23×D412yes—
1850C2×C4C23×D412yes—
1851C2×C4C23×D412yes—
1852C2×C4C2×2−1+412yes—
1853C2×C4C2×2−1+412yes—
1854C2×C4C2×2−1+412yes—
1855C2×C4#58512yes—
1856C2×C4#58512yes—
1857C22—22no—
1858C22—24no—
1859C22—22no—
1860C22—22no—
1861C22—24no—
1862C22—24no—
1863C22—22no—
1864C22—24no—
1865C22—22no—
1866C22—22no—
1867C22—24no—
1868C22—24no—
1869C22—42no—
1870C22—41no—
1871C22—42no—
1872C22—41no—
1873C22—41no—
1874C22—42no—
1875C22—42no—
1876C22—42no—
1877C22—41no—
1878C22—42no—
1879C22—41no—
1880C22—41no—
1881C22—42no—
1882C22—41no—
1883C22—42no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—41no—
1891C22—42no—
1892C22—41no—
1893C22—41no—
1894C22—42no—
1895C22—42no—
1896C22—41no—
1897C22—42no—
1898C22—41no—
1899C22—816no—
1900C22C24×D411yescharacteristic
1901C22C22×2−1+411yescharacteristic
1902C22C22×2−1+411yescharacteristic
1903C22C2×#58511yescharacteristic
1904C22C2×#58511yescharacteristic
1905C22H(7,𝔽2)11yescharacteristic
1906C22H(7,𝔽2)11yescharacteristic
1907C4—22no—
1908C4—24no—
1909C4—22no—
1910C4—22no—
1911C4—24no—
1912C4—22no—
1913C4—22no—
1914C4—24no—
1915C4—42no—
1916C4—42no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—42no—
1921C4—42no—
1922C4—44no—
1923C4—44no—
1924C4—41no—
1925C4—42no—
1926C4—42no—
1927C4—41no—
1928C4—42no—
1929C4—42no—
1930C4—42no—
1931C4—44no—
1932C4—42no—
1933C4—44no—
1934C4#348914yes—
1935C4#348914yes—
1936C2—42no—
1937C2—44no—
1938C2—44no—
1939C2—42no—
1940C2—81no—
1941C2—82no—
1942C2C2×#348911yescharacteristic
1943C2C2×#348911yescharacteristic
1944C2#6285211yescharacteristic
1945C2#6292911yescharacteristic
1946C2#6293711yescharacteristic
1947C2#6294511yescharacteristic
1948C2#6295111yescharacteristic
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×#3544C2semidirect
2. C2×#3475C2semidirect
3. #51409C2semidirect
4. #51316C2semidirect
5. #50891C2semidirect
6. #50888C2semidirect
7. #45412C2semidirect
8. #45353C2semidirect
9. #45264C2semidirect
10. #45227C2semidirect
11. #45157C2semidirect
12. #45079C2semidirect
13. #44941C2semidirect
14. #44928C2semidirect
15. #39598C2semidirect
16. #39597C2semidirect
17. #38922C2semidirect
18. #38921C2semidirect
19. #38920C2semidirect
20. #38915C2semidirect
21. #37847C2semidirect
22. #37839C2semidirect
23. #37279C2semidirect
24. #37277C2semidirect
25. #36492C2semidirect
26. #36456C2semidirect
27. #36160C2semidirect
28. #36154C2semidirect
29. #35279C2semidirect
30. #35279C2semidirect
31. #35260C2semidirect
32. #35253C2semidirect
33. #35189C2semidirect
34. #34614C2semidirect
35. #34383C2semidirect
37. C2×#563C22semidirect
38. C2×Q82C22semidirect
45. C2×#554C22semidirect
50. C2×#552C22semidirect
51. C2×#552C22semidirect
56. C2×#547C22semidirect
59. C2×#544C22semidirect
60. C2×#544C22semidirect
62. C2×#542C22semidirect
63. C2×#536C22semidirect
65. C22×C4⋊Q8C22semidirect
70. C2×#529C22semidirect
79. #2857C22semidirect
80. #2857C22semidirect
81. #2857C22semidirect
82. #2857C22semidirect
83. #2857C22semidirect
84. #2851C22semidirect
85. #2851C22semidirect
86. #2850C22semidirect
89. #2725C22semidirect
90. #2720C22semidirect
91. #2719C22semidirect
92. #2719C22semidirect
93. #2718C22semidirect
94. #2718C22semidirect
95. #2717C22semidirect
96. #2716C22semidirect
97. #2715C22semidirect
98. #2715C22semidirect
99. #2713C22semidirect
103. #2706C22semidirect
104. #2705C22semidirect
105. #2704C22semidirect
106. #2703C22semidirect
107. #2702C22semidirect
108. #2701C22semidirect
109. #2698C22semidirect
110. #2698C22semidirect
113. #2694C22semidirect
115. #2692C22semidirect
116. #2689C22semidirect
120. #2683C22semidirect
122. #2680C22semidirect
124. #2677C22semidirect
126. #2674C22semidirect
127. #2672C22semidirect
128. #2672C22semidirect
129. #2637C22semidirect
132. #2630C22semidirect
133. #2630C22semidirect
136. #2629C22semidirect
139. #2628C22semidirect
140. #2628C22semidirect
141. #2625C22semidirect
142. #2625C22semidirect
143. #2624C22semidirect
144. #2624C22semidirect
146. #2620C22semidirect
149. #2601C22semidirect
150. #2584C22semidirect
151. #2582C22semidirect
152. #2581C22semidirect
153. #2568C22semidirect
154. #2568C22semidirect
155. #2567C22semidirect
156. #2567C22semidirect
157. #2567C22semidirect
161. #2563C22semidirect
162. #2562C22semidirect
164. #2556C22semidirect
166. #2552C22semidirect
167. #2551C22semidirect
168. #2546C22semidirect
171. #2542C22semidirect
175. #2538C22semidirect
176. #2538C22semidirect
177. #2538C22semidirect
180. #2535C22semidirect
181. #2496C22semidirect
183. #2489C22semidirect
184. #2489C22semidirect
185. #2488C22semidirect
188. #2487C22semidirect
189. #2487C22semidirect
190. #2487C22semidirect
191. #2486C22semidirect
193. #2485C22semidirect
194. #2485C22semidirect
195. #2481C22semidirect
197. #2478C22semidirect
199. #2477C22semidirect
200. #2476C22semidirect
201. #2474C22semidirect
205. #2470C22semidirect
206. #2470C22semidirect
207. #2463C22semidirect
211. #2452C22semidirect
213. #2449C22semidirect
215. #2446C22semidirect
217. #2442C22semidirect
219. #2441C22semidirect
220. #2440C22semidirect
221. #2440C22semidirect
223. #2439C22semidirect
224. #2439C22semidirect
225. #2438C22semidirect
226. #2438C22semidirect
230. #2432C22semidirect
231. #2430C22semidirect
232. #2429C22semidirect
236. #2421C22semidirect
241. #2416C22semidirect
242. #2415C22semidirect
243. #2415C22semidirect
244. #2415C22semidirect
246. #2414C22semidirect
248. #2409C22semidirect
249. #2409C22semidirect
255. #2396C22semidirect
258. #2392C22semidirect
259. #2376C22semidirect
260. #2370C22semidirect
264. #2355C22semidirect
266. #2354C22semidirect
268. #2352C22semidirect
269. #2352C22semidirect
270. #2351C22semidirect
271. Q8×C4⋊C4C22semidirect
276. #2334C22semidirect
281. #2323C22semidirect
282. #2323C22semidirect
283. #2317C22semidirect
284. #2317C22semidirect
285. #2317C22semidirect
286. #2317C22semidirect
287. #2316C22semidirect
288. #2314C22semidirect
292. C4×C22⋊Q8C22semidirect
293. C4×C22⋊Q8C22semidirect
295. C4×#121C22semidirect
296. C4×#121C22semidirect
297. #2285C22semidirect
298. #2285C22semidirect
352. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35442
C2×#34752
#514092
#513162
#508912
#508882
#454122
#453532
#452642
#452272
#451572
#450792
#449412
#449282
#395982
#395972
#389222
#389212
#389202
#389152
#378472
#378392
#372792
#372772
#364922
#364562
#361602
#361542
#352792
#352602
#352532
#351892
#346142
#343832