Finite Group Databasebeta

← #7715529

Subgroups — #7715529

Order 512.

6272 conjugacy classes of subgroups.

The subgroup lattice has 2016 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3552C211yesmaximal, characteristic, complemented
2C2×#3565C211yesmaximal, characteristic, complemented
3#51205C214yesmaximal, complemented
4#50891C214yesmaximal, complemented
5#48827C214yesmaximal, complemented
6#48825C214yesmaximal, complemented
7#47769C214yesmaximal, complemented
8#47768C214yesmaximal, complemented
9#47209C214yesmaximal, complemented
10#46822C214yesmaximal, complemented
11#39173C211yesmaximal, characteristic, complemented
12#39170C211yesmaximal, characteristic, complemented
13#39163C211yesmaximal, characteristic, complemented
14#39162C211yesmaximal, characteristic, complemented
15#38958C211yesmaximal, characteristic, complemented
16#38954C211yesmaximal, characteristic, complemented
17#38948C211yesmaximal, characteristic, complemented
18#38946C211yesmaximal, characteristic, complemented
19#38095C211yesmaximal, characteristic, complemented
20#38092C211yesmaximal, characteristic, complemented
21#38091C211yesmaximal, characteristic, complemented
22#38088C211yesmaximal, characteristic, complemented
23#38085C211yesmaximal, characteristic, complemented
24#38085C211yesmaximal, characteristic, complemented
25#38081C211yesmaximal, characteristic, complemented
26#38081C211yesmaximal, characteristic, complemented
27#37617C211yesmaximal, characteristic, complemented
28#37545C211yesmaximal, characteristic, complemented
29#37392C211yesmaximal, characteristic, complemented
30#37392C211yesmaximal, characteristic, complemented
31#37391C211yesmaximal, characteristic, complemented
32#37391C211yesmaximal, characteristic, complemented
33#35343C211yesmaximal, characteristic, complemented
34#35320C211yesmaximal, characteristic, complemented
35#35318C211yesmaximal, characteristic, complemented
36#35318C211yesmaximal, characteristic, complemented
37#35312C211yesmaximal, characteristic, complemented
38#35312C211yesmaximal, characteristic, complemented
39#34081C211yesmaximal, characteristic, complemented
40#3565—216no—
41#3552—216no—
42C2×#563C2212yes—
43C2×#563C2212yes—
44C2×#563C2212yes—
45C2×#562C2212yes—
46C2×#557C2211yescharacteristic
47C2×#557C2211yescharacteristic
48C2×#556C2212yes—
49C2×#556C2211yescharacteristic
50C2×#556C2211yescharacteristic
51C2×#555C2211yescharacteristic
52C2×#554C2211yescharacteristic
53C2×#554C2212yes—
54C2×#553C2211yescharacteristic
55C2×#553C2211yescharacteristic
56C2×#553C2212yes—
57C2×#552C2211yescharacteristic
58C2×#552C2211yescharacteristic
59C2×#552C2212yes—
60C2×D4×Q8C2211yescharacteristic
61C2×D4×Q8C2211yescharacteristic
62C2×D4×Q8C2211yescharacteristic
63C2×#548C2211yescharacteristic
64C2×#548C2211yescharacteristic
65C2×#547C2211yescharacteristic
66C2×#544C2211yescharacteristic
67C2×#544C2211yescharacteristic
68C2×#544C2212yes—
69C2×#542C2211yescharacteristic
70C2×#542C2211yescharacteristic
71C2×#542C2212yes—
72C2×#542C2212yes—
73C2×#542C2212yes—
74C2×#541C2211yescharacteristic
75C2×#541C2211yescharacteristic
76C2×#541C2212yes—
77C2×#539C2212yes—
78C2×#539C2212yes—
79C2×#539C2212yes—
80C2×#536C2211yescharacteristic
81C2×#536C2211yescharacteristic
82C2×#533C2211yescharacteristic
83C22×C4⋊Q8C2211yescharacteristic
84C2×#529C2211yescharacteristic
85C2×#529C2211yescharacteristic
86C2×#529C2211yescharacteristic
87#2862C2211yescharacteristic
88#2862C2211yescharacteristic
89#2862C2211yescharacteristic
90#2862C2211yescharacteristic
91#2862C2211yescharacteristic
92#2862C2211yescharacteristic
93#2861C2211yescharacteristic
94#2861C2211yescharacteristic
95#2861C2211yescharacteristic
96#2861C2211yescharacteristic
97#2859C2211yescharacteristic
98#2858C2211yescharacteristic
99#2857C2211yescharacteristic
100#2857C2211yescharacteristic
101#2850C2211yescharacteristic
102#2850C2211yescharacteristic
103#2821C2214yes—
104#2814C2214yes—
105#2729C2214yes—
106#2728C2214yes—
107#2725C2214yes—
108#2723C2214yes—
109#2723C2214yes—
110#2719C2214yes—
111#2719C2214yes—
112#2719C2214yes—
113#2719C2214yes—
114#2716C2214yes—
115#2716C2214yes—
116#2715C2214yes—
117#2713C2214yes—
118#2713C2214yes—
119#2713C2214yes—
120#2713C2214yes—
121#2712C2214yes—
122#2710C2214yes—
123#2710C2214yes—
124#2708C2214yes—
125#2706C2214yes—
126#2706C2214yes—
127#2704C2214yes—
128#2702C2214yes—
129#2702C2214yes—
130#2701C2214yes—
131#2700C2214yes—
132#2700C2214yes—
133#2699C2214yes—
134#2698C2214yes—
135#2698C2214yes—
136#2698C2214yes—
137#2698C2214yes—
138#2695C2214yes—
139#2693C2214yes—
140#2692C2214yes—
141#2692C2214yes—
142#2690C2214yes—
143#2690C2214yes—
144#2689C2214yes—
145#2689C2214yes—
146#2689C2214yes—
147#2689C2214yes—
148#2688C2214yes—
149#2688C2214yes—
150#2687C2214yes—
151#2687C2214yes—
152#2686C2214yes—
153#2660C2211yescharacteristic
154#2660C2211yescharacteristic
155#2658C2211yescharacteristic
156#2658C2211yescharacteristic
157#2642C2211yescharacteristic
158#2642C2211yescharacteristic
159#2642C2211yescharacteristic
160#2642C2211yescharacteristic
161#2642C2211yescharacteristic
162#2642C2211yescharacteristic
163#2642C2211yescharacteristic
164#2642C2211yescharacteristic
165#2640C2211yescharacteristic
166#2640C2211yescharacteristic
167#2640C2211yescharacteristic
168#2640C2211yescharacteristic
169#2638C2214yes—
170#2637C2214yes—
171#2628C2214yes—
172#2623C2214yes—
173#2621C2211yescharacteristic
174#2621C2211yescharacteristic
175#2621C2211yescharacteristic
176#2620C2211yescharacteristic
177#2620C2211yescharacteristic
178#2620C2211yescharacteristic
179#2620C2211yescharacteristic
180#2619C2211yescharacteristic
181#2602C2214yes—
182#2602C2214yes—
183#2601C2214yes—
184#2601C2214yes—
185#2599C2214yes—
186#2568C2211yescharacteristic
187#2568C2214yes—
188#2568C2211yescharacteristic
189#2568C2214yes—
190#2567C2211yescharacteristic
191#2567C2211yescharacteristic
192#2566C2211yescharacteristic
193#2566C2211yescharacteristic
194#2565C2211yescharacteristic
195#2565C2211yescharacteristic
196#2565C2211yescharacteristic
197#2565C2211yescharacteristic
198#2565C2211yescharacteristic
199#2565C2211yescharacteristic
200#2556C2214yes—
201#2556C2214yes—
202#2553C2214yes—
203#2553C2214yes—
204#2547C2211yescharacteristic
205#2547C2211yescharacteristic
206#2547C2211yescharacteristic
207#2547C2211yescharacteristic
208#2546C2211yescharacteristic
209#2546C2211yescharacteristic
210#2546C2211yescharacteristic
211#2546C2211yescharacteristic
212#2545C2211yescharacteristic
213#2545C2211yescharacteristic
214#2544C2211yescharacteristic
215#2544C2211yescharacteristic
216#2521C2214yes—
217#2521C2214yes—
218#2519C2214yes—
219#2519C2214yes—
220#2503C2211yescharacteristic
221#2503C2211yescharacteristic
222#2503C2214yes—
223#2503C2214yes—
224#2502C2211yescharacteristic
225#2502C2211yescharacteristic
226#2500C2211yescharacteristic
227#2500C2211yescharacteristic
228#2499C2211yescharacteristic
229#2499C2211yescharacteristic
230#2499C2211yescharacteristic
231#2499C2211yescharacteristic
232#2499C2211yescharacteristic
233#2499C2211yescharacteristic
234#2492C2214yes—
235#2492C2214yes—
236#2489C2214yes—
237#2489C2214yes—
238#2488C2214yes—
239#2488C2214yes—
240#2488C2214yes—
241#2488C2214yes—
242#2487C2214yes—
243#2481C2214yes—
244#2481C2214yes—
245#2477C2214yes—
246#2477C2214yes—
247#2475C2214yes—
248#2474C2214yes—
249#2473C2214yes—
250#2470C2214yes—
251#2469C2214yes—
252#2468C2214yes—
253#2466C2214yes—
254#2465C2214yes—
255#2459C2214yes—
256#2459C2214yes—
257#2457C2214yes—
258#2457C2214yes—
259#2453C2214yes—
260#2451C2214yes—
261#2450C2214yes—
262#2450C2214yes—
263#2447C2214yes—
264#2446C2214yes—
265#2444C2214yes—
266#2444C2214yes—
267#2442C2214yes—
268#2439C2214yes—
269#2438C2214yes—
270#2438C2214yes—
271#2436C2211yescharacteristic
272#2436C2211yescharacteristic
273#2436C2211yescharacteristic
274#2436C2211yescharacteristic
275#2434C2211yescharacteristic
276#2434C2211yescharacteristic
277#2434C2211yescharacteristic
278#2434C2211yescharacteristic
279#2432C2211yescharacteristic
280#2432C2211yescharacteristic
281#2431C2211yescharacteristic
282#2431C2211yescharacteristic
283#2421C2214yes—
284#2420C2214yes—
285#2419C2214yes—
286#2419C2214yes—
287#2337C2212yes—
288#2336C2212yes—
289#2335C2212yes—
290#2335C2212yes—
291#2334C2212yes—
292#2334C2212yes—
293#2333C2212yes—
294#2332C2212yes—
295#2328C2211yescharacteristic
296#2327C2211yescharacteristic
297#2327C2211yescharacteristic
298#2327C2211yescharacteristic
299#2326C2211yescharacteristic
300#2326C2211yescharacteristic
301#2326C2211yescharacteristic
302#2326C2211yescharacteristic
303#2311C2211yescharacteristic
304#2311C2211yescharacteristic
305#2310C2211yescharacteristic
306#2310C2211yescharacteristic
307#2310C2211yescharacteristic
308#2310C2211yescharacteristic
309#2310C2211yescharacteristic
310#2310C2211yescharacteristic
311C4×C4⋊Q8C2211yescharacteristic
312C4×C4⋊Q8C2211yescharacteristic
313C4×#124C2211yescharacteristic
314C4×#124C2211yescharacteristic
315#2298C2211yescharacteristic
316#2298C2211yescharacteristic
317#2297C2211yescharacteristic
318#2297C2211yescharacteristic
319#2295C2211yescharacteristic
320#2295C2211yescharacteristic
321C2×#391C2211yescharacteristic
322C2×#391C2211yescharacteristic
323#2293C2211yescharacteristic
324#2293C2211yescharacteristic
325#2290C2211yescharacteristic
326#2290C2211yescharacteristic
327#2290C2211yescharacteristic
328#2290C2211yescharacteristic
329#2283C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C4×#117C2211yescharacteristic
332C4×#117C2211yescharacteristic
333C22×#41C2311yescharacteristic
334C22×#41C2311yescharacteristic
335C23×Q8C2311yescharacteristic
336C23×Q8C2311yescharacteristic
337C23×Q8C2311yescharacteristic
338C23×Q8C2311yescharacteristic
339#563—216no—
340#563—216no—
341#563—216no—
342#562—216no—
343#557—28no—
344#557—28no—
345#556—216no—
346#556—28no—
347#556—28no—
348#555—28no—
349#554—216no—
350#554—28no—
351#553—216no—
352#553—28no—
353#553—28no—
354#552—216no—
355#552—28no—
356#552—28no—
357D4×Q8—28no—
358D4×Q8—28no—
359D4×Q8—28no—
360#548—28no—
361#548—28no—
362#547—28no—
363#544—216no—
364#544—28no—
365#544—28no—
366#542—216no—
367#542—216no—
368#542—216no—
369#542—28no—
370#542—28no—
371#541—216no—
372#541—28no—
373#541—28no—
374#539—216no—
375#539—216no—
376#539—216no—
377#536—28no—
378#536—28no—
379#533—28no—
380C2×C4⋊Q8—28no—
381C2×C4⋊Q8C2312yes—
382C2×C4⋊Q8C2311yescharacteristic
383C2×C4⋊Q8C2311yescharacteristic
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2311yescharacteristic
387C2×C4⋊Q8C2311yescharacteristic
388C2×C4⋊Q8C2311yescharacteristic
389C2×C4⋊Q8C2311yescharacteristic
390C2×C4⋊Q8C2311yescharacteristic
391C2×C4⋊Q8C2311yescharacteristic
392C2×C4⋊Q8C2311yescharacteristic
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×C4⋊Q8C2312yes—
397C2×C4⋊Q8C2312yes—
398C2×C4⋊Q8C2312yes—
399C2×C4⋊Q8C2311yescharacteristic
400C2×C4⋊Q8C2311yescharacteristic
401C2×C4⋊Q8C2311yescharacteristic
402C2×C4⋊Q8C2311yescharacteristic
403C2×C4⋊Q8C2311yescharacteristic
404C2×#127C2311yescharacteristic
405#529—28no—
406#529—28no—
407#529D4116yescomplemented
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#126C2312yes—
418C2×#126C2312yes—
419C2×#126C2312yes—
420C2×#126C2312yes—
421C2×#126C2312yes—
422C2×#126C2312yes—
423C2×#126C2312yes—
424C2×#126C2311yescharacteristic
425C2×#126C2311yescharacteristic
426C2×#125C2311yescharacteristic
427C2×#125C2311yescharacteristic
428C2×#125C2311yescharacteristic
429C2×#125C2311yescharacteristic
430C2×#125C2311yescharacteristic
431C2×#125C2311yescharacteristic
432C2×#125C2312yes—
433C2×#125C2312yes—
434C2×#125C2312yes—
435C2×#125C2312yes—
436C2×#125C2312yes—
437C2×#125C2312yes—
438C2×#125C2312yes—
439C2×#125C2312yes—
440C2×#125C2312yes—
441C2×#125C2312yes—
442C2×#125C2312yes—
443C2×#125C2312yes—
444C2×#125C2312yes—
445C2×#125C2311yescharacteristic
446C2×#124C2311yescharacteristic
447C2×#124C2311yescharacteristic
448C2×#124C2311yescharacteristic
449C2×#124C2311yescharacteristic
450C2×#124C2312yes—
451C2×#124C2312yes—
452C2×#124C2312yes—
453C2×#124C2312yes—
454C2×#124C2312yes—
455C2×#124C2312yes—
456C2×#124C2312yes—
457C2×#124C2311yescharacteristic
458C2×#124C2311yescharacteristic
459C2×#124C2311yescharacteristic
460C2×#124C2311yescharacteristic
461C2×#124C2311yescharacteristic
462C2×#124C2311yescharacteristic
463C2×#124C2311yescharacteristic
464C2×#123C2312yes—
465C2×#123C2312yes—
466C2×#123C2312yes—
467C2×#123C2312yes—
468C2×#123C2312yes—
469C2×#123C2312yes—
470C2×#123C2312yes—
471C2×#123C2312yes—
472C2×#123C2312yes—
473C2×#123C2312yes—
474C2×#123C2312yes—
475C2×#123C2312yes—
476C2×#123C2312yes—
477C2×#123C2312yes—
478C2×#123C2311yescharacteristic
479C2×#123C2311yescharacteristic
480C2×C22⋊Q8C2311yescharacteristic
481C2×C22⋊Q8C2311yescharacteristic
482C2×C22⋊Q8C2311yescharacteristic
483C2×C22⋊Q8C2311yescharacteristic
484C2×C22⋊Q8C2311yescharacteristic
485C2×C22⋊Q8C2311yescharacteristic
486C2×C22⋊Q8C2311yescharacteristic
487C2×C22⋊Q8C2311yescharacteristic
488C2×C22⋊Q8C2312yes—
489C2×C22⋊Q8C2312yes—
490C2×C22⋊Q8C2312yes—
491C2×C22⋊Q8C2312yes—
492C2×C22⋊Q8C2312yes—
493C2×C22⋊Q8C2312yes—
494C2×C22⋊Q8C2312yes—
495C2×C22⋊Q8C2312yes—
496C2×C22⋊Q8C2312yes—
497C2×C22⋊Q8C2312yes—
498C2×C22⋊Q8C2312yes—
499C2×C22⋊Q8C2312yes—
500C2×C22⋊Q8C2312yes—
501C2×C22⋊Q8C2312yes—
502C2×C22⋊Q8C2312yes—
503C2×C22⋊Q8C2312yes—
504C2×C22⋊Q8C2312yes—
505C2×C22⋊Q8C2312yes—
506C2×C22⋊Q8C2312yes—
507C2×C22⋊Q8C2312yes—
508C2×C22⋊Q8C2312yes—
509C2×C22⋊Q8C2312yes—
510C2×C22⋊Q8C2312yes—
511C2×C22⋊Q8C2312yes—
512C2×C22⋊Q8C2311yescharacteristic
513C2×#121C2311yescharacteristic
514C2×#121C2311yescharacteristic
515C2×#121C2311yescharacteristic
516C2×#121C2311yescharacteristic
517C2×#121C2312yes—
518C2×#121C2312yes—
519C2×#121C2312yes—
520C2×#121C2312yes—
521C2×#121C2312yes—
522C2×#121C2312yes—
523C2×#121C2311yescharacteristic
524C2×C4×Q8C2311yescharacteristic
525C2×C4×Q8C2311yescharacteristic
526C2×C4×Q8C2311yescharacteristic
527C2×C4×Q8C2311yescharacteristic
528C2×C4×Q8C2311yescharacteristic
529C2×C4×Q8C2311yescharacteristic
530C2×C4×Q8C2311yescharacteristic
531C2×C4×Q8C2312yes—
532C2×C4×Q8C2312yes—
533C2×C4×Q8C2311yescharacteristic
534C2×C4×Q8C2312yes—
535C2×C4×Q8C2312yes—
536C2×C4×Q8C2312yes—
537C2×C4×Q8C2311yescharacteristic
538C2×C4×D4C2311yescharacteristic
539C2×C4×D4C2311yescharacteristic
540C2×C4×D4C2311yescharacteristic
541C2×C4×D4C2311yescharacteristic
542C2×C4×D4C2312yes—
543C2×C4×D4C2312yes—
544C2×C4×D4C2312yes—
545C2×C4×D4C2312yes—
546C2×C4×D4C2312yes—
547C2×C4×D4C2312yes—
548C2×C4×D4C2312yes—
549C2×C4×D4C2312yes—
550C2×C4×D4C2312yes—
551C2×C4×D4C2311yescharacteristic
552C2×C4×D4C2311yescharacteristic
553C2×C4×D4C2311yescharacteristic
554C2×#117C2311yescharacteristic
555C2×#117C2311yescharacteristic
556C2×#117C2311yescharacteristic
557C2×#117C2311yescharacteristic
558C2×#117C2312yes—
559C2×#117C2312yes—
560C2×#117C2312yes—
561C2×#117C2312yes—
562C2×#117C2312yes—
563C2×#117C2312yes—
564C2×#117C2311yescharacteristic
565C2×#117C2311yescharacteristic
566C2×#117C2311yescharacteristic
567C2×#117C2311yescharacteristic
568C2×#117C2311yescharacteristic
569C2×#117C2311yescharacteristic
570C22×C4⋊C4C2311yescharacteristic
571C22×C4⋊C4C2311yescharacteristic
572C22×C4⋊C4C2312yes—
573C22×C4⋊C4C2312yes—
574C22×C4⋊C4C2312yes—
575C22×C4⋊C4C2312yes—
576C22×C42C2311yescharacteristic
577C22×C42C2311yescharacteristic
578C22×C42C2311yescharacteristic
579#400C2314yes—
580#400C2314yes—
581#400C2314yes—
582#400C2314yes—
583#400C2314yes—
584#400C2314yes—
585#400C2314yes—
586#400C2314yes—
587#400C2314yes—
588#400C2314yes—
589#400C2314yes—
590#400C2314yes—
591#400C2314yes—
592#400C2314yes—
593#400C2314yes—
594#400C2314yes—
595#400C2314yes—
596#400C2314yes—
597#400C2314yes—
598#400C2314yes—
599#399C2314yes—
600#399C2314yes—
601#399C2314yes—
602#399C2314yes—
603#398C2314yes—
604#398C2314yes—
605#398C2314yes—
606#398C2314yes—
607#398C2314yes—
608#398C2314yes—
609#398C2314yes—
610#398C2314yes—
611#398C2314yes—
612#398C2314yes—
613#398C2314yes—
614#398C2314yes—
615#398C2314yes—
616#398C2314yes—
617#398C2314yes—
618#398C2314yes—
619#398C2314yes—
620#397C2314yes—
621#397C2314yes—
622#397C2314yes—
623#397C2314yes—
624#397C2314yes—
625#397C2314yes—
626#397C2314yes—
627#397C2314yes—
628#397C2314yes—
629#397C2314yes—
630#397C2314yes—
631#397C2314yes—
632#397C2314yes—
633#397C2314yes—
634#397C2314yes—
635#397C2314yes—
636#397C2314yes—
637#396C2314yes—
638#396C2314yes—
639#396C2314yes—
640#396C2314yes—
641#396C2314yes—
642#396C2314yes—
643#396C2314yes—
644#396C2314yes—
645#395C2314yes—
646#395C2314yes—
647#395C2314yes—
648#395C2314yes—
649#395C2314yes—
650#395C2314yes—
651#395C2314yes—
652#395C2314yes—
653#394C2314yes—
654#394C2314yes—
655#394C2314yes—
656#394C2314yes—
657#394C2314yes—
658#394C2314yes—
659#394C2314yes—
660#394C2314yes—
661#394C2314yes—
662#394C2314yes—
663#394C2314yes—
664#393C2314yes—
665#393C2314yes—
666#393C2314yes—
667#393C2314yes—
668#393C2314yes—
669#393C2314yes—
670#393C2314yes—
671#393C2314yes—
672#392C2314yes—
673#392C2314yes—
674#392C2314yes—
675#391C2311yescharacteristic
676#391C2311yescharacteristic
677#391C2311yescharacteristic
678#391C2311yescharacteristic
679#391C2311yescharacteristic
680#391C2311yescharacteristic
681#391C2311yescharacteristic
682#391C2311yescharacteristic
683#391C2311yescharacteristic
684#391C2311yescharacteristic
685#391C2311yescharacteristic
686#391C2311yescharacteristic
687#391C2311yescharacteristic
688#391C2311yescharacteristic
689#391C2311yescharacteristic
690#391C2311yescharacteristic
691#391C2311yescharacteristic
692#391C2311yescharacteristic
693#391C2311yescharacteristic
694#391C2311yescharacteristic
695#391C2311yescharacteristic
696#391C2314yes—
697#391C2314yes—
698#391C2314yes—
699#391C2314yes—
700#391C2311yescharacteristic
701#391C2311yescharacteristic
702#391C2311yescharacteristic
703#391C2311yescharacteristic
704#391C2311yescharacteristic
705#391C2311yescharacteristic
706#391C2311yescharacteristic
707#391C2311yescharacteristic
708#391C2311yescharacteristic
709#391C2314yes—
710#391C2314yes—
711#391C2311yescharacteristic
712#391C2314yes—
713#391C2314yes—
714#391C2314yes—
715#391C2314yes—
716#391C2311yescharacteristic
717#391C2314yes—
718#391C2314yes—
719#391C2312yes—
720#391C2312yes—
721#391C2314yes—
722#391C2314yes—
723#391C2314yes—
724#391C2314yes—
725#390C2311yescharacteristic
726#390C2311yescharacteristic
727#390C2311yescharacteristic
728#390C2311yescharacteristic
729#390C2311yescharacteristic
730#390C2311yescharacteristic
731#390C2311yescharacteristic
732#390C2311yescharacteristic
733#390C2312yes—
734#390C2312yes—
735#390C2314yes—
736#390C2314yes—
737#389C2314yes—
738#389C2314yes—
739#389C2314yes—
740#389C2314yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2314yes—
746#389C2314yes—
747#389C2314yes—
748#389C2314yes—
749#389C2314yes—
750#389C2314yes—
751#389C2314yes—
752#389C2314yes—
753#388C2314yes—
754#388C2314yes—
755#388C2314yes—
756#388C2314yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2314yes—
770#388C2314yes—
771#388C2314yes—
772#388C2314yes—
773#388C2314yes—
774#388C2314yes—
775#388C2314yes—
776#388C2314yes—
777#388C2314yes—
778#388C2314yes—
779#388C2314yes—
780#388C2314yes—
781#388C2314yes—
782#388C2314yes—
783#388C2314yes—
784#388C2314yes—
785#387C2314yes—
786#387C2314yes—
787#387C2314yes—
788#387C2314yes—
789#387C2314yes—
790#387C2314yes—
791#387C2314yes—
792#387C2314yes—
793#387C2314yes—
794#387C2314yes—
795#387C2314yes—
796#387C2314yes—
797#387C2312yes—
798#387C2312yes—
799#387C2312yes—
800#387C2312yes—
801#387C2312yes—
802#387C2312yes—
803#387C2312yes—
804#387C2312yes—
805#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2314yes—
810#387C2314yes—
811#387C2314yes—
812#387C2314yes—
813#387C2314yes—
814#387C2314yes—
815#386C2314yes—
816#386C2314yes—
817#386C2314yes—
818#386C2314yes—
819#386C2312yes—
820#386C2312yes—
821#386C2312yes—
822#386C2312yes—
823#386C2314yes—
824#386C2314yes—
825#386C2314yes—
826#386C2314yes—
827#386C2314yes—
828#386C2314yes—
829#386C2314yes—
830#386C2314yes—
831#386C2314yes—
832#386C2314yes—
833#386C2314yes—
834#386C2314yes—
835#385C2314yes—
836#385C2314yes—
837#385C2314yes—
838#385C2314yes—
839#385C2314yes—
840#385C2314yes—
841#385C2312yes—
842#385C2312yes—
843#385C2312yes—
844#385C2312yes—
845#385C2314yes—
846#385C2314yes—
847#385C2314yes—
848#385C2314yes—
849#385C2314yes—
850#385C2314yes—
851#385C2314yes—
852#385C2314yes—
853#384C2311yescharacteristic
854#384C2311yescharacteristic
855#384C2311yescharacteristic
856#384C2311yescharacteristic
857#384C2311yescharacteristic
858#384C2311yescharacteristic
859#383C2312yes—
860#382C2311yescharacteristic
861#382C2311yescharacteristic
862#382C2311yescharacteristic
863#382C2311yescharacteristic
864#382C2311yescharacteristic
865#382C2311yescharacteristic
866#382C2314yes—
867#382C2314yes—
868#382C2314yes—
869#382C2314yes—
870#382C2312yes—
871#382C2314yes—
872#382C2314yes—
873#381C2314yes—
874#381C2314yes—
875#381C2314yes—
876#381C2314yes—
877#381C2314yes—
878#381C2314yes—
879#381C2312yes—
880#381C2314yes—
881#381C2314yes—
882#380C2314yes—
883#380C2314yes—
884#380C2312yes—
885#380C2314yes—
886#380C2314yes—
887#380C2314yes—
888#380C2314yes—
889#380C2314yes—
890#380C2314yes—
891C4×C4⋊C4C2314yes—
892C4×C4⋊C4C2314yes—
893C4×C4⋊C4C2311yescharacteristic
894C4×C4⋊C4C2311yescharacteristic
895C4×C4⋊C4C2311yescharacteristic
896C4×C4⋊C4C2311yescharacteristic
897C4×C4⋊C4C2311yescharacteristic
898C4×C4⋊C4C2311yescharacteristic
899C4×C4⋊C4C2312yes—
900C4×C4⋊C4C2312yes—
901C4×C4⋊C4C2312yes—
902C4×C4⋊C4C2312yes—
903C4×C4⋊C4C2312yes—
904C4×C4⋊C4C2312yes—
905C4×C22⋊C4C2312yes—
906C4×C22⋊C4C2312yes—
907C4×C22⋊C4C2312yes—
908C4×C22⋊C4C2312yes—
909C4×C22⋊C4C2312yes—
910C4×C22⋊C4C2312yes—
911C4×C22⋊C4C2314yes—
912C4×C22⋊C4C2314yes—
913C4×C22⋊C4C2311yescharacteristic
914C4×C22⋊C4C2311yescharacteristic
915C4×C22⋊C4C2311yescharacteristic
916C4×C22⋊C4C2311yescharacteristic
917C4×C22⋊C4C2311yescharacteristic
918C4×C22⋊C4C2311yescharacteristic
919C4×C22⋊C4C2314yes—
920C4×C22⋊C4C2314yes—
921#376C2311yescharacteristic
922#376C2311yescharacteristic
923#376C2311yescharacteristic
924#376C2311yescharacteristic
925#376C2311yescharacteristic
926#376C2311yescharacteristic
927C2×#95C2314yes—
928C2×#95C2314yes—
929C43C2311yescharacteristic
930C43C2311yescharacteristic
931C43C2311yescharacteristic
932C43C2311yescharacteristic
933C2×#41—24no—
934C2×#41—24no—
935C2×#41—42no—
936C2×#41—42no—
937C2×#41—42no—
938C2×#41—42no—
939C22×Q8—24no—
940C22×Q8—24no—
941C22×Q8—24no—
942C22×Q8—24no—
943C22×Q8—42no—
944C22×Q8—42no—
945C22×Q8—42no—
946C22×Q8—42no—
947C22×Q8—42no—
948C22×Q8—42no—
949C22×Q8—42no—
950C22×Q8—42no—
951C22×Q8C2411yescharacteristic
952C22×Q8C2411yescharacteristic
953C22×Q8C2411yescharacteristic
954C22×Q8C2411yescharacteristic
955C22×Q8C2411yescharacteristic
956C22×Q8C2411yescharacteristic
957C22×Q8C2412yes—
958C22×Q8C2412yes—
959C22×Q8C2412yes—
960C22×Q8C2412yes—
961C22×Q8C2412yes—
962C22×Q8C2412yes—
963C22×Q8C2412yes—
964C22×Q8C2412yes—
965C22×Q8C2411yescharacteristic
966C22×D4C2411yescharacteristic
967C22×D4C2411yescharacteristic
968C22×D4C2412yes—
969C22×D4C2412yes—
970C22×D4C2412yes—
971C22×D4C2412yes—
972C22×D4C2412yes—
973C22×D4C2412yes—
974C22×D4C2414yes—
975C22×D4C2411yescharacteristic
976C22×D4C2411yescharacteristic
977C22×D4C2411yescharacteristic
978C23×C4C2411yescharacteristic
979C23×C4C2411yescharacteristic
980C23×C4C2411yescharacteristic
981C23×C4C2412yes—
982C23×C4C2412yes—
983C23×C4C2412yes—
984C23×C4C2412yes—
985C23×C4C2412yes—
986C23×C4C2412yes—
987C23×C4C2412yes—
988C23×C4C2412yes—
989C23×C4C2412yes—
990C23×C4C2412yes—
991C23×C4C2412yes—
992C23×C4C2412yes—
993C23×C4C2412yes—
994C23×C4C2412yes—
995C23×C4C2411yescharacteristic
996C23×C4C2411yescharacteristic
997C4⋊Q8—28no—
998C4⋊Q8—28no—
999C4⋊Q8—28no—
1000C4⋊Q8—28no—
1001C4⋊Q8—28no—
1002C4⋊Q8—28no—
1003C4⋊Q8—24no—
1004C4⋊Q8—24no—
1005C4⋊Q8—28no—
1006C4⋊Q8—24no—
1007C4⋊Q8—24no—
1008C4⋊Q8—28no—
1009C4⋊Q8—24no—
1010C4⋊Q8—24no—
1011C4⋊Q8—24no—
1012C4⋊Q8—24no—
1013C4⋊Q8—24no—
1014C4⋊Q8—24no—
1015C4⋊Q8—42no—
1016C4⋊Q8—42no—
1017C4⋊Q8—42no—
1018C4⋊Q8—42no—
1019C4⋊Q8—42no—
1020#127—42no—
1021#126—28no—
1022#126—28no—
1023#126—28no—
1024#126—28no—
1025#126—28no—
1026#126—28no—
1027#126—28no—
1028#126—28no—
1029#126—28no—
1030#126—28no—
1031#126—28no—
1032#126—28no—
1033#126—28no—
1034#126—28no—
1035#126—28no—
1036#126—28no—
1037#126C2×D418yes—
1038#126C2×D418yes—
1039#125—28no—
1040#125—28no—
1041#125—28no—
1042#125—28no—
1043#125—28no—
1044#125—28no—
1045#125—28no—
1046#125—28no—
1047#125—28no—
1048#125—28no—
1049#125—28no—
1050#125—28no—
1051#125—28no—
1052#125—24no—
1053#125—24no—
1054#125—24no—
1055#125—24no—
1056#125—24no—
1057#125—24no—
1058#125C2×D418yes—
1059#124—28no—
1060#124—28no—
1061#124—28no—
1062#124—28no—
1063#124—28no—
1064#124—28no—
1065#124—28no—
1066#124—24no—
1067#124—24no—
1068#124—24no—
1069#124—24no—
1070#124—42no—
1071#124—42no—
1072#124—42no—
1073#124—42no—
1074#124—42no—
1075#124—42no—
1076#124C2×D418yes—
1077#123—28no—
1078#123—28no—
1079#123—28no—
1080#123—28no—
1081#123—28no—
1082#123—28no—
1083#123—28no—
1084#123—28no—
1085#123—28no—
1086#123—28no—
1087#123—28no—
1088#123—28no—
1089#123—28no—
1090#123—28no—
1091#123C2×D418yes—
1092#123C2×D418yes—
1093C22⋊Q8—28no—
1094C22⋊Q8—28no—
1095C22⋊Q8—24no—
1096C22⋊Q8—24no—
1097C22⋊Q8—28no—
1098C22⋊Q8—28no—
1099C22⋊Q8—24no—
1100C22⋊Q8—24no—
1101C22⋊Q8—24no—
1102C22⋊Q8—24no—
1103C22⋊Q8—24no—
1104C22⋊Q8—24no—
1105C22⋊Q8—28no—
1106C22⋊Q8—28no—
1107C22⋊Q8—28no—
1108C22⋊Q8—28no—
1109C22⋊Q8—28no—
1110C22⋊Q8—28no—
1111C22⋊Q8—28no—
1112C22⋊Q8—28no—
1113C22⋊Q8—28no—
1114C22⋊Q8—28no—
1115C22⋊Q8—28no—
1116C22⋊Q8—28no—
1117C22⋊Q8—28no—
1118C22⋊Q8—28no—
1119C22⋊Q8—28no—
1120C22⋊Q8—28no—
1121C22⋊Q8—28no—
1122C22⋊Q8—28no—
1123C22⋊Q8—28no—
1124C22⋊Q8—28no—
1125C22⋊Q8C2×D418yes—
1126#121—28no—
1127#121—28no—
1128#121—28no—
1129#121—28no—
1130#121—28no—
1131#121—28no—
1132#121—24no—
1133#121—24no—
1134#121—24no—
1135#121—24no—
1136#121C2×D418yes—
1137C4×Q8—28no—
1138C4×Q8—28no—
1139C4×Q8—28no—
1140C4×Q8—24no—
1141C4×Q8—24no—
1142C4×Q8—28no—
1143C4×Q8—28no—
1144C4×Q8—24no—
1145C4×Q8—24no—
1146C4×Q8—24no—
1147C4×Q8—24no—
1148C4×Q8—24no—
1149C4×Q8—24no—
1150C4×Q8C2×D418yes—
1151C4×D4—28no—
1152C4×D4—28no—
1153C4×D4—28no—
1154C4×D4—28no—
1155C4×D4—28no—
1156C4×D4—28no—
1157C4×D4—28no—
1158C4×D4—28no—
1159C4×D4—28no—
1160C4×D4—24no—
1161C4×D4—24no—
1162C4×D4—24no—
1163C4×D4—24no—
1164C4×D4C2×D418yes—
1165C4×D4C2×D418yes—
1166C4×D4C2×D418yes—
1167#117—24no—
1168#117—24no—
1169#117—24no—
1170#117—24no—
1171#117—28no—
1172#117—28no—
1173#117—28no—
1174#117—28no—
1175#117—28no—
1176#117—28no—
1177#117—42no—
1178#117—42no—
1179#117—42no—
1180#117—42no—
1181#117C2×D418yes—
1182#117C2×D418yes—
1183C2×C4⋊C4—28no—
1184C2×C4⋊C4—28no—
1185C2×C4⋊C4—24no—
1186C2×C4⋊C4—24no—
1187C2×C4⋊C4—28no—
1188C2×C4⋊C4—28no—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2411yescharacteristic
1191C2×C4⋊C4C2411yescharacteristic
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2411yescharacteristic
1194C2×C4⋊C4C2411yescharacteristic
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2411yescharacteristic
1209C2×C4⋊C4C2411yescharacteristic
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2411yescharacteristic
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2411yescharacteristic
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2414yes—
1248C2×C4⋊C4C2414yes—
1249C2×C4⋊C4C2414yes—
1250C2×C4⋊C4C2414yes—
1251C2×C4⋊C4C2414yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2414yes—
1257C2×C4⋊C4C2414yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2414yes—
1261C2×C4⋊C4C2414yes—
1262C2×C4⋊C4C2414yes—
1263C2×C4⋊C4C2414yes—
1264C2×C4⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C22⋊C4C2412yes—
1275C2×C22⋊C4C2412yes—
1276C2×C22⋊C4C2412yes—
1277C2×C22⋊C4C2412yes—
1278C2×C22⋊C4C2412yes—
1279C2×C22⋊C4C2412yes—
1280C2×C22⋊C4C2412yes—
1281C2×C22⋊C4C2412yes—
1282C2×C22⋊C4C2412yes—
1283C2×C22⋊C4C2412yes—
1284C2×C22⋊C4C2412yes—
1285C2×C22⋊C4C2412yes—
1286C2×C22⋊C4C2412yes—
1287C2×C22⋊C4C2412yes—
1288C2×C22⋊C4C2412yes—
1289C2×C22⋊C4C2412yes—
1290C2×C22⋊C4C2412yes—
1291C2×C22⋊C4C2412yes—
1292C2×C22⋊C4C2412yes—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2412yes—
1295C2×C22⋊C4C2412yes—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2412yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2414yes—
1307C2×C22⋊C4C2414yes—
1308C2×C22⋊C4C2414yes—
1309C2×C22⋊C4C2414yes—
1310C2×C22⋊C4C2414yes—
1311C2×C22⋊C4C2414yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2414yes—
1315C2×C22⋊C4C2414yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2414yes—
1321C2×C22⋊C4C2414yes—
1322C2×C22⋊C4C2414yes—
1323C2×C22⋊C4C2414yes—
1324C2×C22⋊C4C2414yes—
1325C2×C22⋊C4C2414yes—
1326C2×C22⋊C4C2411yescharacteristic
1327C2×C22⋊C4C2411yescharacteristic
1328C2×C22⋊C4C2411yescharacteristic
1329C2×C22⋊C4C2411yescharacteristic
1330C2×C22⋊C4C2411yescharacteristic
1331C2×C22⋊C4C2411yescharacteristic
1332C2×C22⋊C4C2411yescharacteristic
1333C2×C22⋊C4C2411yescharacteristic
1334C2×C22⋊C4C2411yescharacteristic
1335C2×C22⋊C4C2411yescharacteristic
1336C2×C42—42no—
1337C2×C42—42no—
1338C2×C42C2×D418yes—
1339C2×C42C2412yes—
1340C2×C42C2412yes—
1341C2×C42C2412yes—
1342C2×C42C2412yes—
1343C2×C42C2411yescharacteristic
1344C2×C42C2411yescharacteristic
1345C2×C42C2412yes—
1346C2×C42C2412yes—
1347C2×C42C2412yes—
1348C2×C42C2412yes—
1349C2×C42C2412yes—
1350C2×C42C2411yescharacteristic
1351C2×C42C2411yescharacteristic
1352C2×C42C2411yescharacteristic
1353C2×C42C2411yescharacteristic
1354C2×C42C2412yes—
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2411yescharacteristic
1358C2×C42C2411yescharacteristic
1359C2×C42C2412yes—
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2411yescharacteristic
1370C2×C42C2411yescharacteristic
1371C2×C42C2411yescharacteristic
1372C2×C42C2411yescharacteristic
1373C2×C42C2411yescharacteristic
1374C2×C42C2411yescharacteristic
1375#95C2414yes—
1376#95C2414yes—
1377#95C2414yes—
1378#95C2414yes—
1379#95C2414yes—
1380#95C2414yes—
1381#95C2414yes—
1382#95C2414yes—
1383#95C2412yes—
1384#95C2412yes—
1385#95C2412yes—
1386#95C2412yes—
1387#95C2412yes—
1388#95C2412yes—
1389#95C2412yes—
1390#95C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2412yes—
1395#95C2414yes—
1396#95C2414yes—
1397#95C2414yes—
1398#95C2414yes—
1399#95C2414yes—
1400#95C2414yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2414yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2414yes—
1408#95C2412yes—
1409#95C2414yes—
1410#95C2414yes—
1411#95C2414yes—
1412#95C2414yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2414yes—
1420#95C2414yes—
1421#95C2414yes—
1422#95C2414yes—
1423#95C2414yes—
1424#95C2414yes—
1425#95C2414yes—
1426#95C2414yes—
1427#95C2414yes—
1428#95C2414yes—
1429#95C2414yes—
1430#95C2414yes—
1431#95C2414yes—
1432#95C2414yes—
1433#95C2414yes—
1434#95C2414yes—
1435#95C2414yes—
1436#95C2414yes—
1437C24C2512yes—
1438C24C2512yes—
1439C24C2511yescharacteristic
1440C24C2511yescharacteristic
1441C24C2511yescharacteristic
1442#41—88no—
1443#41—88no—
1444C2×Q8—22no—
1445C2×Q8—22no—
1446C2×Q8—22no—
1447C2×Q8—22no—
1448C2×Q8—22no—
1449C2×Q8—22no—
1450C2×Q8—24no—
1451C2×Q8—24no—
1452C2×Q8—24no—
1453C2×Q8—24no—
1454C2×Q8—24no—
1455C2×Q8—24no—
1456C2×Q8—24no—
1457C2×Q8—24no—
1458C2×Q8—22no—
1459C2×Q8—22no—
1460C2×Q8—22no—
1461C2×Q8—22no—
1462C2×Q8—22no—
1463C2×Q8—22no—
1464C2×Q8—22no—
1465C2×Q8—22no—
1466C2×Q8—22no—
1467C2×Q8—22no—
1468C2×Q8—22no—
1469C2×Q8—22no—
1470C2×Q8—42no—
1471C2×Q8—42no—
1472C2×Q8—42no—
1473C2×Q8—42no—
1474C2×Q8—42no—
1475C2×Q8—42no—
1476C2×Q8—42no—
1477C2×Q8—42no—
1478C2×Q8—42no—
1479C2×Q8—44no—
1480C2×Q8—44no—
1481C2×Q8—44no—
1482C2×Q8—44no—
1483C2×Q8—88no—
1484C2×Q8—88no—
1485C2×Q8—88no—
1486C2×Q8—88no—
1487C2×Q8C22×D414yes—
1488C2×D4—24no—
1489C2×D4—24no—
1490C2×D4—24no—
1491C2×D4—24no—
1492C2×D4—24no—
1493C2×D4—24no—
1494C2×D4—22no—
1495C2×D4—22no—
1496C2×D4—22no—
1497C2×D4—22no—
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—42no—
1501C2×D4—42no—
1502C2×D4—42no—
1503C2×D4—44no—
1504C2×D4—44no—
1505C2×D4—44no—
1506C2×D4—44no—
1507C2×D4—42no—
1508C2×D4—42no—
1509C2×D4—42no—
1510C2×D4—42no—
1511C2×D4—44no—
1512C2×D4—44no—
1513C2×D4—44no—
1514C2×D4C22×D414yes—
1515C2×D4C22×D414yes—
1516C2×D4C22×D414yes—
1517C22×C4—22no—
1518C22×C4—22no—
1519C22×C4—22no—
1520C22×C4—22no—
1521C22×C4—22no—
1522C22×C4—22no—
1523C22×C4—24no—
1524C22×C4—24no—
1525C22×C4—24no—
1526C22×C4—24no—
1527C22×C4—24no—
1528C22×C4—24no—
1529C22×C4—24no—
1530C22×C4—24no—
1531C22×C4—24no—
1532C22×C4—24no—
1533C22×C4—24no—
1534C22×C4—24no—
1535C22×C4—42no—
1536C22×C4—42no—
1537C22×C4—44no—
1538C22×C4—42no—
1539C22×C4—42no—
1540C22×C4—44no—
1541C22×C4—44no—
1542C22×C4—44no—
1543C22×C4—42no—
1544C22×C4—42no—
1545C22×C4—42no—
1546C22×C4—42no—
1547C22×C4—44no—
1548C22×C4—44no—
1549C22×C4—42no—
1550C22×C4—42no—
1551C22×C4—42no—
1552C22×C4—42no—
1553C22×C4—42no—
1554C22×C4—42no—
1555C22×C4—42no—
1556C22×C4—42no—
1557C22×C4—42no—
1558C22×C4—42no—
1559C22×C4—42no—
1560C22×C4—42no—
1561C22×C4C22×D414yes—
1562C22×C4C22×D414yes—
1563C22×C4C22×D414yes—
1564C22×C4C22×D414yes—
1565C22×C4C22×D414yes—
1566C22×C4C2512yes—
1567C22×C4C2512yes—
1568C22×C4C2512yes—
1569C22×C4C2512yes—
1570C22×C4C2512yes—
1571C22×C4C2512yes—
1572C22×C4C2512yes—
1573C22×C4C2512yes—
1574C22×C4C2512yes—
1575C22×C4C2512yes—
1576C22×C4C2512yes—
1577C22×C4C2512yes—
1578C22×C4C2512yes—
1579C22×C4C2512yes—
1580C22×C4C2512yes—
1581C22×C4C2512yes—
1582C22×C4C2512yes—
1583C22×C4C2512yes—
1584C22×C4C2512yes—
1585C22×C4C2512yes—
1586C22×C4C2512yes—
1587C22×C4C2512yes—
1588C22×C4C2511yescharacteristic
1589C22×C4C2511yescharacteristic
1590C22×C4C2511yescharacteristic
1591C22×C4C2511yescharacteristic
1592C22×C4C2511yescharacteristic
1593C22×C4C2511yescharacteristic
1594C22×C4C2511yescharacteristic
1595C22×C4C2511yescharacteristic
1596C22×C4C2511yescharacteristic
1597C22×C4C2511yescharacteristic
1598C22×C4C2511yescharacteristic
1599C22×C4C2511yescharacteristic
1600C4⋊C4—24no—
1601C4⋊C4—22no—
1602C4⋊C4—22no—
1603C4⋊C4—24no—
1604C4⋊C4—22no—
1605C4⋊C4—22no—
1606C4⋊C4—24no—
1607C4⋊C4—24no—
1608C4⋊C4—24no—
1609C4⋊C4—24no—
1610C4⋊C4—24no—
1611C4⋊C4—24no—
1612C4⋊C4—24no—
1613C4⋊C4—24no—
1614C4⋊C4—24no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—24no—
1618C4⋊C4—24no—
1619C4⋊C4—22no—
1620C4⋊C4—22no—
1621C4⋊C4—24no—
1622C4⋊C4—24no—
1623C4⋊C4—24no—
1624C4⋊C4—24no—
1625C4⋊C4—24no—
1626C4⋊C4—24no—
1627C4⋊C4—24no—
1628C4⋊C4—22no—
1629C4⋊C4—24no—
1630C4⋊C4—24no—
1631C4⋊C4—24no—
1632C4⋊C4—24no—
1633C4⋊C4—24no—
1634C4⋊C4—24no—
1635C4⋊C4—24no—
1636C4⋊C4—24no—
1637C4⋊C4—22no—
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—42no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—44no—
1661C4⋊C4—44no—
1662C4⋊C4—44no—
1663C4⋊C4—44no—
1664C4⋊C4—44no—
1665C4⋊C4—44no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—44no—
1671C4⋊C4—44no—
1672C4⋊C4—44no—
1673C4⋊C4—44no—
1674C4⋊C4—44no—
1675C4⋊C4C22×D414yes—
1676C4⋊C4C22×D414yes—
1677C4⋊C4C22×D414yes—
1678C4⋊C4C22×D414yes—
1679C4⋊C4C22×D414yes—
1680C4⋊C4C22×D414yes—
1681C4⋊C4C22×D414yes—
1682C4⋊C4C22×D414yes—
1683C4⋊C4C22×D414yes—
1684C4⋊C4C22×D414yes—
1685C22⋊C4—24no—
1686C22⋊C4—24no—
1687C22⋊C4—24no—
1688C22⋊C4—24no—
1689C22⋊C4—24no—
1690C22⋊C4—24no—
1691C22⋊C4—24no—
1692C22⋊C4—24no—
1693C22⋊C4—24no—
1694C22⋊C4—24no—
1695C22⋊C4—24no—
1696C22⋊C4—24no—
1697C22⋊C4—24no—
1698C22⋊C4—24no—
1699C22⋊C4—24no—
1700C22⋊C4—24no—
1701C22⋊C4—24no—
1702C22⋊C4—24no—
1703C22⋊C4—24no—
1704C22⋊C4—24no—
1705C22⋊C4—24no—
1706C22⋊C4—24no—
1707C22⋊C4—24no—
1708C22⋊C4—24no—
1709C22⋊C4—24no—
1710C22⋊C4—24no—
1711C22⋊C4—24no—
1712C22⋊C4—24no—
1713C22⋊C4—44no—
1714C22⋊C4—44no—
1715C22⋊C4—44no—
1716C22⋊C4—44no—
1717C22⋊C4—42no—
1718C22⋊C4—42no—
1719C22⋊C4—44no—
1720C22⋊C4—42no—
1721C22⋊C4—44no—
1722C22⋊C4—42no—
1723C22⋊C4—42no—
1724C22⋊C4—42no—
1725C22⋊C4—44no—
1726C22⋊C4—44no—
1727C22⋊C4—42no—
1728C22⋊C4—42no—
1729C22⋊C4—42no—
1730C22⋊C4—42no—
1731C22⋊C4—44no—
1732C22⋊C4—44no—
1733C22⋊C4—44no—
1734C22⋊C4—44no—
1735C22⋊C4—44no—
1736C22⋊C4—44no—
1737C22⋊C4C22×D414yes—
1738C22⋊C4C22×D414yes—
1739C22⋊C4C22×D414yes—
1740C22⋊C4C22×D414yes—
1741C22⋊C4C22×D414yes—
1742C22⋊C4C22×D414yes—
1743C22⋊C4C22×D414yes—
1744C22⋊C4C22×D414yes—
1745C22⋊C4C22×D414yes—
1746C22⋊C4C22×D414yes—
1747C42—24no—
1748C42—24no—
1749C42—24no—
1750C42—24no—
1751C42—24no—
1752C42—24no—
1753C42—24no—
1754C42—24no—
1755C42—24no—
1756C42—24no—
1757C42—24no—
1758C42—24no—
1759C42—22no—
1760C42—22no—
1761C42—22no—
1762C42—22no—
1763C42—22no—
1764C42—22no—
1765C42—22no—
1766C42—22no—
1767C42—42no—
1768C42—42no—
1769C42—42no—
1770C42—42no—
1771C42—42no—
1772C42—42no—
1773C42—42no—
1774C42—42no—
1775C42—42no—
1776C42—42no—
1777C42C22×D414yes—
1778C42C22×D414yes—
1779C42C22×D414yes—
1780C42C22×D414yes—
1781C42C22×D414yes—
1782C42C22×D414yes—
1783C23—21no—
1784C23—21no—
1785C23—21no—
1786C23—21no—
1787C23—21no—
1788C23—21no—
1789C23—22no—
1790C23—22no—
1791C23—22no—
1792C23—22no—
1793C23—22no—
1794C23—22no—
1795C23—22no—
1796C23—22no—
1797C23—22no—
1798C23—22no—
1799C23—22no—
1800C23—22no—
1801C23—24no—
1802C23—24no—
1803C23—24no—
1804C23—24no—
1805C23C23×D412yes—
1806C23C23×D412yes—
1807C23C23×D412yes—
1808C23C2611yescharacteristic
1809Q8—44no—
1810Q8—44no—
1811Q8—44no—
1812Q8—44no—
1813Q8—44no—
1814Q8—44no—
1815Q8—44no—
1816Q8—84no—
1817Q8—84no—
1818Q8—84no—
1819Q8—84no—
1820Q8—84no—
1821Q8—84no—
1822Q8—84no—
1823Q8—84no—
1824D4—44no—
1825D4—44no—
1826D4—44no—
1827D4—48no—
1828D4—44no—
1829D4—44no—
1830D4—84no—
1831D4—84no—
1832D4—84no—
1833D4—84no—
1834D4—84no—
1835D4—164no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—28no—
1851C2×C4—28no—
1852C2×C4—28no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—24no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—24no—
1905C2×C4—24no—
1906C2×C4—24no—
1907C2×C4—24no—
1908C2×C4—24no—
1909C2×C4—24no—
1910C2×C4—24no—
1911C2×C4—44no—
1912C2×C4—44no—
1913C2×C4—48no—
1914C2×C4—84no—
1915C2×C4—84no—
1916C2×C4—84no—
1917C2×C4—84no—
1918C2×C4—84no—
1919C2×C4—84no—
1920C2×C4—84no—
1921C2×C4—84no—
1922C2×C4—84no—
1923C2×C4—84no—
1924C2×C4—84no—
1925C2×C4—84no—
1926C2×C4—84no—
1927C2×C4C23×D412yes—
1928C2×C4C23×D412yes—
1929C2×C4C23×D412yes—
1930C2×C4C23×D412yes—
1931C2×C4C23×D412yes—
1932C2×C4C23×D412yes—
1933C2×C4C23×D412yes—
1934C2×C4C23×D412yes—
1935C2×C4C23×D412yes—
1936C2×C4C23×D412yes—
1937C2×C4C23×D412yes—
1938C2×C4C23×D412yes—
1939C2×C4#58512yes—
1940C2×C4#58512yes—
1941C22—22no—
1942C22—22no—
1943C22—22no—
1944C22—22no—
1945C22—22no—
1946C22—22no—
1947C22—22no—
1948C22—22no—
1949C22—22no—
1950C22—42no—
1951C22—42no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—42no—
1958C22—42no—
1959C22—42no—
1960C22—42no—
1961C22—42no—
1962C22—44no—
1963C22—44no—
1964C22—44no—
1965C22—44no—
1966C22C24×D411yescharacteristic
1967C22C2×#58511yescharacteristic
1968C22C2×#58511yescharacteristic
1969C222−1+612yes—
1970C222−1+612yes—
1971C4—22no—
1972C4—22no—
1973C4—22no—
1974C4—22no—
1975C4—22no—
1976C4—22no—
1977C4—22no—
1978C4—22no—
1979C4—22no—
1980C4—22no—
1981C4—22no—
1982C4—42no—
1983C4—42no—
1984C4—42no—
1985C4—42no—
1986C4—42no—
1987C4—42no—
1988C4—42no—
1989C4—42no—
1990C4—42no—
1991C4—42no—
1992C4—42no—
1993C4—42no—
1994C4—42no—
1995C4—42no—
1996C4—42no—
1997C4—42no—
1998C4—42no—
1999C4—42no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4#350014yes—
2005C2—42no—
2006C2—42no—
2007C2—42no—
2008C2—82no—
2009C2—82no—
2010C2C2×#350011yescharacteristic
2011C2#6285911yescharacteristic
2012C2#6285911yescharacteristic
2013C2#6289012yes—
2014C2#6289112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3552C2semidirect
2. C2×#3565C2semidirect
3. #51205C2semidirect
4. #50891C2semidirect
5. #48827C2semidirect
6. #48825C2semidirect
7. #47769C2semidirect
8. #47768C2semidirect
9. #47209C2semidirect
10. #46822C2semidirect
11. #39173C2semidirect
12. #39170C2semidirect
13. #39163C2semidirect
14. #39162C2semidirect
15. #38958C2semidirect
16. #38954C2semidirect
17. #38948C2semidirect
18. #38946C2semidirect
19. #38095C2semidirect
20. #38092C2semidirect
21. #38091C2semidirect
22. #38088C2semidirect
23. #38085C2semidirect
24. #38085C2semidirect
25. #38081C2semidirect
26. #38081C2semidirect
27. #37617C2semidirect
28. #37545C2semidirect
29. #37392C2semidirect
30. #37392C2semidirect
31. #37391C2semidirect
32. #37391C2semidirect
33. #35343C2semidirect
34. #35320C2semidirect
35. #35318C2semidirect
36. #35318C2semidirect
37. #35312C2semidirect
38. #35312C2semidirect
39. #34081C2semidirect
407. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35522
C2×#35652
#512052
#508912
#488272
#488252
#477692
#477682
#472092
#468222
#391732
#391702
#391632
#391622
#389582
#389542
#389482
#389462
#380952
#380922
#380912
#380882
#380852
#380812
#376172
#375452
#373922
#373912
#353432
#353202
#353182
#353122
#340812