Finite Group Databasebeta

← #7732075

Subgroups — #7732075

Order 512.

6689 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3503C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#49557C214yesmaximal, complemented
4#47841C214yesmaximal, complemented
5#47769C214yesmaximal, complemented
6#47692C214yesmaximal, complemented
7#45177C212yesmaximal, complemented
8#45114C212yesmaximal, complemented
9#44989C212yesmaximal, complemented
10#44915C212yesmaximal, complemented
11#39598C211yesmaximal, characteristic, complemented
12#39597C211yesmaximal, characteristic, complemented
13#39596C212yesmaximal, complemented
14#39591C212yesmaximal, complemented
15#39126C211yesmaximal, characteristic, complemented
16#39125C211yesmaximal, characteristic, complemented
17#39124C212yesmaximal, complemented
18#39119C212yesmaximal, complemented
19#37765C212yesmaximal, complemented
20#37749C212yesmaximal, complemented
21#37704C212yesmaximal, complemented
22#37686C212yesmaximal, complemented
23#37632C211yesmaximal, characteristic, complemented
24#37281C212yesmaximal, complemented
25#37279C212yesmaximal, complemented
26#36544C211yesmaximal, characteristic, complemented
27Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
28#36492C211yesmaximal, characteristic, complemented
29#36456C211yesmaximal, characteristic, complemented
30#35521C212yesmaximal, complemented
31#35520C212yesmaximal, complemented
32#35279C211yesmaximal, characteristic, complemented
33#35189C211yesmaximal, characteristic, complemented
34#34909C211yesmaximal, characteristic, complemented
35#34373C211yesmaximal, characteristic, complemented
36#3503—216no—
37C2×Q82C2211yescharacteristic
38C2×Q82C2211yescharacteristic
39C2×#557C2212yes—
40C2×#554C2212yes—
41C2×#554C2212yes—
42C2×#554C2211yescharacteristic
43C2×#554C2211yescharacteristic
44C2×D4×Q8C2214yes—
45C2×D4×Q8C2212yes—
46#3461—216no—
47C2×#544C2211yescharacteristic
48C2×#544C2214yes—
49C2×#544C2212yes—
50C2×#542C2211yescharacteristic
51C2×#542C2212yes—
52C2×#542C2211yescharacteristic
53C2×#541C2211yescharacteristic
54C2×#541C2211yescharacteristic
55C2×#541C2212yes—
56C2×#539C2212yes—
57C2×#539C2212yes—
58C2×#537C2211yescharacteristic
59C2×#536C2211yescharacteristic
60C2×#536C2211yescharacteristic
61C2×#533C2212yes—
62C2×#533C2212yes—
63C2×#533C2211yescharacteristic
64C2×#533C2211yescharacteristic
65C22×C4⋊Q8C2211yescharacteristic
66C22×C4⋊Q8C2212yes—
67C2×#529C2211yescharacteristic
68C2×#529C2212yes—
69C2×#529C2212yes—
70C2×#529C2212yes—
71C2×#529C2211yescharacteristic
72C2×#520C2212yes—
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2857C2212yes—
78#2857C2211yescharacteristic
79#2857C2211yescharacteristic
80#2857C2212yes—
81#2857C2211yescharacteristic
82#2857C2211yescharacteristic
83#2851C2212yes—
84#2851C2212yes—
85#2851C2212yes—
86#2850C2212yes—
87#2821C2214yes—
88#2734C2214yes—
89#2731C2214yes—
90#2729C2214yes—
91#2729C2214yes—
92#2723C2214yes—
93#2723C2214yes—
94#2721C2214yes—
95#2720C2214yes—
96#2720C2214yes—
97#2720C2214yes—
98#2719C2214yes—
99#2719C2214yes—
100#2716C2214yes—
101#2716C2214yes—
102#2713C2214yes—
103#2713C2214yes—
104#2713C2214yes—
105#2711C2214yes—
106#2704C2214yes—
107#2702C2214yes—
108#2700C2214yes—
109#2698C2214yes—
110#2696C2214yes—
111#2696C2214yes—
112#2694C2214yes—
113#2692C2214yes—
114#2692C2214yes—
115#2690C2214yes—
116#2689C2214yes—
117#2687C2214yes—
118#2683C2214yes—
119#2681C2214yes—
120#2681C2214yes—
121#2680C2214yes—
122#2677C2214yes—
123#2677C2214yes—
124#2674C2214yes—
125#2674C2214yes—
126#2674C2214yes—
127#2672C2214yes—
128#2660C2212yes—
129#2640C2212yes—
130#2630C2214yes—
131#2629C2212yes—
132#2629C2212yes—
133#2628C2212yes—
134#2628C2212yes—
135#2628C2212yes—
136#2628C2212yes—
137#2628C2212yes—
138#2628C2212yes—
139#2614C2214yes—
140#2601C2214yes—
141#2600C2212yes—
142#2600C2212yes—
143#2599C2212yes—
144#2598C2212yes—
145#2584C2212yes—
146#2584C2212yes—
147#2582C2211yescharacteristic
148#2582C2212yes—
149#2581C2211yescharacteristic
150#2581C2212yes—
151#2580C2211yescharacteristic
152#2580C2212yes—
153#2568C2212yes—
154#2567C2211yescharacteristic
155#2567C2211yescharacteristic
156#2567C2212yes—
157#2567C2212yes—
158#2563C2211yescharacteristic
159#2563C2211yescharacteristic
160#2563C2212yes—
161#2563C2212yes—
162#2562C2212yes—
163#2562C2212yes—
164#2558C2214yes—
165#2556C2214yes—
166#2551C2212yes—
167#2550C2212yes—
168#2547C2212yes—
169#2546C2212yes—
170#2542C2212yes—
171#2542C2214yes—
172#2540C2214yes—
173#2538C2211yescharacteristic
174#2538C2212yes—
175#2538C2212yes—
176#2538C2211yescharacteristic
177#2538C2212yes—
178#2537C2211yescharacteristic
179#2537C2212yes—
180#2536C2212yes—
181#2536C2211yescharacteristic
182#2536C2212yes—
183#2535C2211yescharacteristic
184#2535C2212yes—
185#2519C2214yes—
186#2506C2214yes—
187#2503C2212yes—
188#2501C2212yes—
189#2492C2212yes—
190#2492C2214yes—
191#2491C2212yes—
192#2489C2214yes—
193#2487C2212yes—
194#2487C2212yes—
195#2486C2212yes—
196#2486C2212yes—
197#2485C2211yescharacteristic
198#2485C2211yescharacteristic
199#2485C2212yes—
200#2481C2214yes—
201#2479C2214yes—
202#2477C2214yes—
203#2477C2214yes—
204#2475C2214yes—
205#2473C2214yes—
206#2471C2214yes—
207#2469C2214yes—
208#2468C2214yes—
209#2466C2214yes—
210#2465C2214yes—
211#2465C2214yes—
212#2464C2214yes—
213#2463C2214yes—
214#2462C2214yes—
215#2461C2214yes—
216#2459C2214yes—
217#2458C2214yes—
218#2457C2214yes—
219#2456C2214yes—
220#2455C2214yes—
221#2452C2212yes—
222#2452C2214yes—
223#2451C2212yes—
224#2451C2214yes—
225#2449C2214yes—
226#2449C2214yes—
227#2448C2212yes—
228#2446C2212yes—
229#2443C2214yes—
230#2442C2212yes—
231#2440C2212yes—
232#2440C2212yes—
233#2440C2214yes—
234#2439C2212yes—
235#2439C2214yes—
236#2436C2214yes—
237#2434C2214yes—
238#2429C2212yes—
239#2426C2212yes—
240#2423C2212yes—
241#2423C2212yes—
242#2421C2212yes—
243#2421C2212yes—
244#2417C2212yes—
245#2416C2212yes—
246#2415C2212yes—
247#2414C2212yes—
248#2409C2214yes—
249#2409C2212yes—
250#2409C2214yes—
251#2409C2212yes—
252#2409C2212yes—
253#2407C2211yescharacteristic
254#2407C2211yescharacteristic
255#2407C2212yes—
256#2407C2212yes—
257#2395C2212yes—
258#2388C2212yes—
259#2378C2214yes—
260#2362C2212yes—
261#2362C2212yes—
262#2361C2212yes—
263#2360C2212yes—
264#2355C2211yescharacteristic
265#2355C2212yes—
266#2355C2212yes—
267#2355C2211yescharacteristic
268#2352C2212yes—
269#2351C2212yes—
270Q8×C4⋊C4C2211yescharacteristic
271Q8×C4⋊C4C2211yescharacteristic
272Q8×C4⋊C4C2212yes—
273D4×C4⋊C4C2212yes—
274#2341C2212yes—
275Q8×C22⋊C4C2212yes—
276#2336C2214yes—
277#2331C2212yes—
278#2327C2212yes—
279#2324C2212yes—
280#2324C2212yes—
281#2324C2212yes—
282#2323C2212yes—
283#2323C2212yes—
284#2323C2212yes—
285#2317C2212yes—
286#2314C2212yes—
287#2314C2212yes—
288#2311C2212yes—
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic
291C4×C22⋊Q8C2212yes—
292C4×C22⋊Q8C2212yes—
293C4×#121C2211yescharacteristic
294C4×#121C2211yescharacteristic
295C4×#121C2212yes—
296C4×#121C2212yes—
297#2290C2212yes—
298#2290C2212yes—
299#2285C2211yescharacteristic
300#2283C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×Q8C2312yes—
306C23×Q8C2314yes—
307Q82—28no—
308Q82—28no—
309#557—216no—
310#554—216no—
311#554—216no—
312#554—28no—
313#554—28no—
314D4×Q8—232no—
315D4×Q8—216no—
316#544—28no—
317#544—232no—
318#544—216no—
319#542—28no—
320#542—28no—
321#542—216no—
322#541—28no—
323#541—216no—
324#541—28no—
325#539—216no—
326#539—216no—
327#537—28no—
328#536—28no—
329#536—28no—
330#533—216no—
331#533—216no—
332#533—28no—
333#533D4116yescomplemented
334C2×C4⋊Q8—216no—
335C2×C4⋊Q8—28no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2314yes—
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2311yescharacteristic
352C2×C4⋊Q8C2314yes—
353C2×C4⋊Q8C2314yes—
354C2×C4⋊Q8C2311yescharacteristic
355C2×C4⋊Q8C2311yescharacteristic
356#529—216no—
357#529—28no—
358#529—216no—
359#529—216no—
360#529—28no—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#126C2312yes—
368C2×#126C2312yes—
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2311yescharacteristic
372C2×#125C2312yes—
373C2×#125C2312yes—
374C2×#125C2311yescharacteristic
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#125C2312yes—
379C2×#125C2314yes—
380C2×#125C2314yes—
381C2×#125C2314yes—
382C2×#125C2312yes—
383C2×#124C2311yescharacteristic
384C2×#124C2312yes—
385C2×#124C2311yescharacteristic
386C2×#124C2312yes—
387C2×#124C2312yes—
388C2×#124C2314yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2314yes—
421C2×C22⋊Q8C2314yes—
422C2×C22⋊Q8C2314yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2314yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2314yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2314yes—
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2311yescharacteristic
433C2×C22⋊Q8C2312yes—
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2311yescharacteristic
437C2×#121C2311yescharacteristic
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2314yes—
444#520—216no—
445C4×#41—28no—
446C4×#41—28no—
447C4×#41—28no—
448C2×C4×Q8—28no—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2314yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2314yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2314yes—
494C2×#117C2311yescharacteristic
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2312yes—
503C2×#117C2311yescharacteristic
504C2×#117C2314yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2314yes—
513C22×C4⋊C4C2312yes—
514C22×C42C2312yes—
515C22×C42C2312yes—
516C22×C42C2312yes—
517C22×C42C2311yescharacteristic
518C22×C42C2311yescharacteristic
519C22×C42C2311yescharacteristic
520#400C2314yes—
521#400C2314yes—
522#400C2314yes—
523#400C2314yes—
524#400C2314yes—
525#400C2314yes—
526#400C2312yes—
527#400C2314yes—
528#400C2314yes—
529#400C2314yes—
530#399C2314yes—
531#399C2314yes—
532#399C2312yes—
533#399C2314yes—
534#399C2314yes—
535#399C2314yes—
536#399C2314yes—
537#399C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2312yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#395C2314yes—
573#395C2314yes—
574#395C2314yes—
575#395C2314yes—
576#395C2314yes—
577#395C2314yes—
578#395C2312yes—
579#395C2314yes—
580#395C2314yes—
581#395C2314yes—
582#395C2314yes—
583#395C2314yes—
584#395C2314yes—
585#395C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2312yes—
589#394C2312yes—
590#394C2312yes—
591#394C2312yes—
592#394C2312yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#393C2314yes—
600#393C2314yes—
601#393C2314yes—
602#393C2314yes—
603#393C2314yes—
604#393C2314yes—
605#393C2312yes—
606#393C2314yes—
607#393C2314yes—
608#393C2314yes—
609#393C2314yes—
610#393C2314yes—
611#392C2312yes—
612#392C2312yes—
613#392C2312yes—
614#392C2314yes—
615#392C2314yes—
616#391C2314yes—
617#391C2312yes—
618#391C2314yes—
619#391C2312yes—
620#391C2312yes—
621#391C2312yes—
622#391C2312yes—
623#391C2312yes—
624#391C2311yescharacteristic
625#391C2312yes—
626#391C2311yescharacteristic
627#391C2312yes—
628#391C2314yes—
629#391C2312yes—
630#391C2312yes—
631#391C2314yes—
632#391C2314yes—
633#391C2314yes—
634#391C2314yes—
635#391C2314yes—
636#391C2314yes—
637#390C2314yes—
638#390C2312yes—
639#390C2314yes—
640#390C2312yes—
641#390C2312yes—
642#390C2311yescharacteristic
643#390C2314yes—
644#390C2314yes—
645#390C2314yes—
646#390C2311yescharacteristic
647#390C2312yes—
648#390C2314yes—
649#389C2311yescharacteristic
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2314yes—
665#389C2314yes—
666#389C2314yes—
667#389C2311yescharacteristic
668#389C2311yescharacteristic
669#389C2311yescharacteristic
670#389C2312yes—
671#389C2314yes—
672#389C2314yes—
673#389C2314yes—
674#389C2314yes—
675#389C2314yes—
676#389C2312yes—
677#389C2312yes—
678#389C2314yes—
679#389C2314yes—
680#389C2312yes—
681#389C2314yes—
682#389C2314yes—
683#389C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2312yes—
720#387C2312yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2312yes—
735#387C2312yes—
736#387C2312yes—
737#387C2312yes—
738#387C2314yes—
739#387C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2312yes—
747#386C2312yes—
748#386C2312yes—
749#386C2312yes—
750#386C2312yes—
751#386C2312yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2312yes—
762#385C2312yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2312yes—
771#385C2312yes—
772#385C2312yes—
773#385C2312yes—
774#385C2314yes—
775#385C2314yes—
776#384C2314yes—
777#384C2312yes—
778#384C2312yes—
779#384C2314yes—
780#384C2312yes—
781#384C2312yes—
782#384C2311yescharacteristic
783#384C2311yescharacteristic
784#383C2312yes—
785#382C2314yes—
786#382C2312yes—
787#382C2314yes—
788#382C2312yes—
789#382C2312yes—
790#382C2312yes—
791#382C2311yescharacteristic
792#382C2311yescharacteristic
793#382C2312yes—
794#381C2312yes—
795#381C2314yes—
796#381C2314yes—
797#380C2312yes—
798#380C2311yescharacteristic
799#380C2311yescharacteristic
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2311yescharacteristic
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2311yescharacteristic
815#380C2311yescharacteristic
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2314yes—
820#380C2314yes—
821#380C2311yescharacteristic
822#380C2312yes—
823#380C2314yes—
824#380C2314yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2314yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2314yes—
839C4×C4⋊C4C2314yes—
840C4×C4⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850#376C2312yes—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—42no—
859C2×#41—42no—
860C22×Q8—24no—
861C22×Q8—216no—
862C22×Q8—28no—
863C22×Q8—24no—
864C22×Q8—42no—
865C22×Q8—84no—
866C22×Q8—84no—
867C22×Q8—82no—
868C22×Q8—82no—
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2412yes—
876C22×Q8C2414yes—
877C22×Q8C2412yes—
878C22×Q8C2412yes—
879C22×Q8C2414yes—
880C22×Q8C2414yes—
881C22×Q8C2412yes—
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2414yes—
907C23×C4C2414yes—
908C23×C4C2412yes—
909C23×C4C2414yes—
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C4⋊Q8—216no—
915C4⋊Q8—24no—
916C4⋊Q8—28no—
917C4⋊Q8—216no—
918C4⋊Q8—28no—
919C4⋊Q8—28no—
920C4⋊Q8—28no—
921C4⋊Q8—24no—
922C4⋊Q8—216no—
923C4⋊Q8—216no—
924C4⋊Q8—28no—
925C4⋊Q8—28no—
926C4⋊Q8—28no—
927C4⋊Q8—24no—
928C4⋊Q8—24no—
929C4⋊Q8—28no—
930C4⋊Q8—28no—
931C4⋊Q8—84no—
932C4⋊Q8C2×D418yes—
933C4⋊Q8C2×D418yes—
934#126—28no—
935#126—28no—
936#126—28no—
937#126—28no—
938#126—28no—
939#126—28no—
940#126—28no—
941#126—28no—
942#125—28no—
943#125—28no—
944#125—28no—
945#125—24no—
946#125—28no—
947#125—28no—
948#125—28no—
949#125—216no—
950#125—216no—
951#125—216no—
952#125—24no—
953#125—28no—
954#125—28no—
955#125C2×D4116yes—
956#124—24no—
957#124—28no—
958#124—28no—
959#124—28no—
960#124—24no—
961#124—84no—
962#123—28no—
963#123—28no—
964#123—28no—
965#123—28no—
966#123—28no—
967#123—28no—
968#123—28no—
969#123—28no—
970#123—84no—
971#123—84no—
972C22⋊Q8—24no—
973C22⋊Q8—28no—
974C22⋊Q8—24no—
975C22⋊Q8—28no—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—24no—
981C22⋊Q8—24no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—24no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—216no—
990C22⋊Q8—216no—
991C22⋊Q8—216no—
992C22⋊Q8—216no—
993C22⋊Q8—216no—
994C22⋊Q8—216no—
995C22⋊Q8—216no—
996C22⋊Q8—44no—
997C22⋊Q8—82no—
998C22⋊Q8—84no—
999C22⋊Q8—82no—
1000C22⋊Q8—82no—
1001C22⋊Q8—84no—
1002C22⋊Q8—84no—
1003C22⋊Q8—82no—
1004C22⋊Q8C2×D418yes—
1005C22⋊Q8C2×D418yes—
1006C22⋊Q8C2×D4116yes—
1007#121—24no—
1008#121—28no—
1009#121—24no—
1010#121—24no—
1011#121—28no—
1012#121—24no—
1013#121—28no—
1014#121—28no—
1015#121—44no—
1016#121—84no—
1017C4×Q8—24no—
1018C4×Q8—24no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8—28no—
1022C4×Q8—24no—
1023C4×Q8—216no—
1024C4×Q8—28no—
1025C4×Q8—24no—
1026C4×Q8—24no—
1027C4×Q8—24no—
1028C4×Q8—24no—
1029C4×Q8—24no—
1030C4×Q8—28no—
1031C4×Q8—28no—
1032C4×Q8—28no—
1033C4×Q8—44no—
1034C4×Q8—44no—
1035C4×Q8C2×D418yes—
1036C4×Q8C2×D418yes—
1037C4×Q8C2×D4116yes—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—24no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—24no—
1048C4×D4—216no—
1049C4×D4—216no—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—24no—
1053C4×D4—24no—
1054C4×D4—24no—
1055C4×D4—24no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—44no—
1060C4×D4—84no—
1061C4×D4—84no—
1062#117—24no—
1063#117—24no—
1064#117—24no—
1065#117—28no—
1066#117—216no—
1067#117—24no—
1068#117—24no—
1069#117—28no—
1070#117—28no—
1071#117—28no—
1072#117—28no—
1073#117—44no—
1074#117C2×D4116yes—
1075C2×C4⋊C4—28no—
1076C2×C4⋊C4—28no—
1077C2×C4⋊C4—24no—
1078C2×C4⋊C4—28no—
1079C2×C4⋊C4—216no—
1080C2×C4⋊C4—28no—
1081C2×C4⋊C4—28no—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C42—24no—
1220C2×C42—28no—
1221C2×C42—28no—
1222C2×C42—24no—
1223C2×C42—28no—
1224C2×C42C2×D418yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230C2×C42C2412yes—
1231C2×C42C2412yes—
1232C2×C42C2414yes—
1233C2×C42C2414yes—
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2414yes—
1244C2×C42C2414yes—
1245C2×C42C2414yes—
1246C2×C42C2414yes—
1247C2×C42C2414yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253C2×C42C2411yescharacteristic
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306C24C2511yescharacteristic
1307C24C2512yes—
1308C24C2511yescharacteristic
1309C24C2512yes—
1310C24C2511yescharacteristic
1311#41—232no—
1312#41—416no—
1313#41—416no—
1314C2×Q8—22no—
1315C2×Q8—24no—
1316C2×Q8—22no—
1317C2×Q8—22no—
1318C2×Q8—28no—
1319C2×Q8—24no—
1320C2×Q8—28no—
1321C2×Q8—28no—
1322C2×Q8—24no—
1323C2×Q8—24no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—22no—
1327C2×Q8—24no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—22no—
1331C2×Q8—22no—
1332C2×Q8—22no—
1333C2×Q8—42no—
1334C2×Q8—42no—
1335C2×Q8—42no—
1336C2×Q8—44no—
1337C2×Q8—44no—
1338C2×Q8—41no—
1339C2×Q8—42no—
1340C2×Q8—44no—
1341C2×Q8—44no—
1342C2×Q8—42no—
1343C2×Q8—42no—
1344C2×Q8—42no—
1345C2×Q8—42no—
1346C2×Q8—44no—
1347C2×Q8—42no—
1348C2×Q8—44no—
1349C2×Q8—416no—
1350C2×Q8—816no—
1351C2×Q8—832no—
1352C2×Q8C22×D414yes—
1353C2×Q8C22×D414yes—
1354C2×Q8C22×D418yes—
1355C2×Q82−1+414yes—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—22no—
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—22no—
1369C2×D4—24no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—42no—
1379C2×D4—41no—
1380C2×D4—42no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—42no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D42−1+414yes—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—28no—
1403C22×C4—22no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—22no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—22no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—22no—
1426C22×C4—28no—
1427C22×C4—28no—
1428C22×C4—42no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—42no—
1440C22×C4—41no—
1441C22×C4—41no—
1442C22×C4—41no—
1443C22×C4—42no—
1444C22×C4—41no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4C22×D414yes—
1449C22×C4C22×D414yes—
1450C22×C4C22×D414yes—
1451C22×C42−1+414yes—
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2514yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2512yes—
1458C22×C4C2514yes—
1459C22×C4C2512yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2512yes—
1462C22×C4C2511yescharacteristic
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2514yes—
1466C22×C4C2514yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2512yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2512yes—
1473C22×C4C2511yescharacteristic
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2511yescharacteristic
1477C22×C4C2512yes—
1478C22×C4C2511yescharacteristic
1479C22×C4C2512yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C4⋊C4—28no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—28no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—28no—
1495C4⋊C4—28no—
1496C4⋊C4—28no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—24no—
1503C4⋊C4—22no—
1504C4⋊C4—24no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—28no—
1519C4⋊C4—28no—
1520C4⋊C4—28no—
1521C4⋊C4—28no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—22no—
1526C4⋊C4—24no—
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—28no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—42no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—42no—
1544C4⋊C4—44no—
1545C4⋊C4—42no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—42no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—42no—
1555C4⋊C4C22×D414yes—
1556C4⋊C4C22×D414yes—
1557C4⋊C4C22×D418yes—
1558C4⋊C4C22×D418yes—
1559C4⋊C4C22×D418yes—
1560C4⋊C4C22×D418yes—
1561C4⋊C4C22×D418yes—
1562C4⋊C4C22×D418yes—
1563C4⋊C4C22×D418yes—
1564C22⋊C4—24no—
1565C22⋊C4—22no—
1566C22⋊C4—22no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—28no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—28no—
1575C22⋊C4—28no—
1576C22⋊C4—22no—
1577C22⋊C4—24no—
1578C22⋊C4—22no—
1579C22⋊C4—22no—
1580C22⋊C4—24no—
1581C22⋊C4—22no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—28no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
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⋊C4—44no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—44no—
1616C22⋊C4—42no—
1617C22⋊C4C22×D418yes—
1618C22⋊C4C22×D418yes—
1619C42—22no—
1620C42—22no—
1621C42—22no—
1622C42—24no—
1623C42—22no—
1624C42—24no—
1625C42—22no—
1626C42—24no—
1627C42—24no—
1628C42—24no—
1629C42—24no—
1630C42—22no—
1631C42—24no—
1632C42—24no—
1633C42—28no—
1634C42—28no—
1635C42—24no—
1636C42—24no—
1637C42—44no—
1638C42—44no—
1639C42—44no—
1640C42—44no—
1641C42—44no—
1642C42C22×D414yes—
1643C42C22×D414yes—
1644C42C22×D418yes—
1645C42C22×D418yes—
1646C42C22×D414yes—
1647C42C22×D414yes—
1648C23—22no—
1649C23—21no—
1650C23—21no—
1651C23—22no—
1652C23—21no—
1653C23—21no—
1654C23—22no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—22no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—22no—
1663C23—21no—
1664C23—21no—
1665C23—22no—
1666C23—21no—
1667C23—22no—
1668C23—21no—
1669C23—22no—
1670C23—21no—
1671C23—22no—
1672C23—22no—
1673C23—21no—
1674C23—21no—
1675C23—22no—
1676C23—22no—
1677C23—21no—
1678C23—22no—
1679C23—21no—
1680C23C23×D412yes—
1681C23C2×2−1+414yes—
1682C23C2×2−1+412yes—
1683C23C2611yescharacteristic
1684Q8—28no—
1685Q8—28no—
1686Q8—28no—
1687Q8—48no—
1688Q8—48no—
1689Q8—44no—
1690Q8—416no—
1691Q8—44no—
1692Q8—84no—
1693Q8—84no—
1694Q8—84no—
1695Q8—88no—
1696Q8—88no—
1697D4—216no—
1698D4—28no—
1699D4—44no—
1700D4—44no—
1701D4—48no—
1702D4—48no—
1703D4—44no—
1704D4—44no—
1705D4—84no—
1706D4—84no—
1707D4—84no—
1708D4—88no—
1709C2×C4—216no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—28no—
1731C2×C4—28no—
1732C2×C4—28no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—24no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—24no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—24no—
1772C2×C4—24no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—24no—
1780C2×C4—24no—
1781C2×C4—24no—
1782C2×C4—24no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—44no—
1788C2×C4—48no—
1789C2×C4—48no—
1790C2×C4—48no—
1791C2×C4—44no—
1792C2×C4—44no—
1793C2×C4—48no—
1794C2×C4—48no—
1795C2×C4—44no—
1796C2×C4—82no—
1797C2×C4—82no—
1798C2×C4—84no—
1799C2×C4—84no—
1800C2×C4—88no—
1801C2×C4—88no—
1802C2×C4—88no—
1803C2×C4C23×D414yes—
1804C2×C4C23×D414yes—
1805C2×C4C23×D412yes—
1806C2×C4C23×D412yes—
1807C2×C4C23×D412yes—
1808C2×C4C23×D414yes—
1809C2×C4C23×D414yes—
1810C2×C4C23×D412yes—
1811C2×C4C23×D412yes—
1812C2×C4C23×D412yes—
1813C2×C4C2×2−1+414yes—
1814C2×C4C2×2−1+412yes—
1815C2×C4C2×2−1+412yes—
1816C2×C4C2×2−1+412yes—
1817C2×C4C2×2−1+412yes—
1818C2×C4#58512yes—
1819C22—22no—
1820C22—24no—
1821C22—22no—
1822C22—22no—
1823C22—22no—
1824C22—22no—
1825C22—22no—
1826C22—24no—
1827C22—24no—
1828C22—41no—
1829C22—42no—
1830C22—42no—
1831C22—41no—
1832C22—42no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—42no—
1840C22—41no—
1841C22—42no—
1842C22—42no—
1843C22—41no—
1844C22—41no—
1845C22—42no—
1846C22—42no—
1847C22—41no—
1848C22—42no—
1849C22—41no—
1850C22—41no—
1851C22—42no—
1852C22—41no—
1853C22—42no—
1854C22C24×D411yescharacteristic
1855C22C22×2−1+411yescharacteristic
1856C22C22×2−1+411yescharacteristic
1857C22C22×2−1+411yescharacteristic
1858C22C2×#58511yescharacteristic
1859C22H(7,𝔽2)11yescharacteristic
1860C22H(7,𝔽2)11yescharacteristic
1861C4—22no—
1862C4—24no—
1863C4—22no—
1864C4—22no—
1865C4—24no—
1866C4—24no—
1867C4—22no—
1868C4—22no—
1869C4—24no—
1870C4—24no—
1871C4—41no—
1872C4—41no—
1873C4—42no—
1874C4—42no—
1875C4—41no—
1876C4—42no—
1877C4—42no—
1878C4—41no—
1879C4—44no—
1880C4—44no—
1881C4—42no—
1882C4—41no—
1883C4—42no—
1884C4—42no—
1885C4—42no—
1886C4—44no—
1887C4—42no—
1888C4—44no—
1889C4#348614yes—
1890C4#348914yes—
1891C2—42no—
1892C2—44no—
1893C2—42no—
1894C2—82no—
1895C2—81no—
1896C2C2×#348611yescharacteristic
1897C2C2×#348911yescharacteristic
1898C2#6285211yescharacteristic
1899C2#6294311yescharacteristic
1900C2#6294511yescharacteristic
1901C2#6295111yescharacteristic
1902C2#6295211yescharacteristic
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×#3503C2semidirect
2. C2×#3461C2semidirect
3. #49557C2semidirect
4. #47841C2semidirect
5. #47769C2semidirect
6. #47692C2semidirect
7. #45177C2semidirect
8. #45114C2semidirect
9. #44989C2semidirect
10. #44915C2semidirect
11. #39598C2semidirect
12. #39597C2semidirect
13. #39596C2semidirect
14. #39591C2semidirect
15. #39126C2semidirect
16. #39125C2semidirect
17. #39124C2semidirect
18. #39119C2semidirect
19. #37765C2semidirect
20. #37749C2semidirect
21. #37704C2semidirect
22. #37686C2semidirect
23. #37632C2semidirect
24. #37281C2semidirect
25. #37279C2semidirect
26. #36544C2semidirect
27. Q8×C22⋊Q8C2semidirect
28. #36492C2semidirect
29. #36456C2semidirect
30. #35521C2semidirect
31. #35520C2semidirect
32. #35279C2semidirect
33. #35189C2semidirect
34. #34909C2semidirect
35. #34373C2semidirect
333. #533D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35032
C2×#34612
#495572
#478412
#477692
#476922
#451772
#451142
#449892
#449152
#395982
#395972
#395962
#395912
#391262
#391252
#391242
#391192
#377652
#377492
#377042
#376862
#376322
#372812
#372792
#365442
Q8×C22⋊Q82
#364922
#364562
#355212
#355202
#352792
#351892
#349092
#343732