Finite Group Databasebeta

← #7644039

Subgroups — #7644039

Order 512.

6730 conjugacy classes of subgroups.

The subgroup lattice has 1914 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#42388C212yesmaximal, complemented
4#42387C212yesmaximal, complemented
5#42312C212yesmaximal, complemented
6#42311C212yesmaximal, complemented
7#42308C212yesmaximal, complemented
8#42307C212yesmaximal, complemented
9#42304C212yesmaximal, complemented
10#42303C212yesmaximal, complemented
11#42296C212yesmaximal, complemented
12#42294C212yesmaximal, complemented
13#41953C212yesmaximal, complemented
14#41952C212yesmaximal, complemented
15#40495C212yesmaximal, complemented
16#40494C212yesmaximal, complemented
17#40493C212yesmaximal, complemented
18#40492C212yesmaximal, complemented
19#37634C211yesmaximal, characteristic, complemented
20#37606C211yesmaximal, characteristic, complemented
21#37560C211yesmaximal, characteristic, complemented
22#37558C211yesmaximal, characteristic, complemented
23#37557C211yesmaximal, characteristic, complemented
24#37556C211yesmaximal, characteristic, complemented
25#37543C211yesmaximal, characteristic, complemented
26#37537C211yesmaximal, characteristic, complemented
27#37260C214yesmaximal, complemented
28#37122C214yesmaximal, complemented
29#35465C214yesmaximal, complemented
30#35449C214yesmaximal, complemented
31#35144C211yesmaximal, characteristic, complemented
32#35129C211yesmaximal, characteristic, complemented
33#34602C211yesmaximal, characteristic, complemented
34C2×#2632C211yesmaximal, characteristic, complemented
35#34195C211yesmaximal, characteristic, complemented
36#3514—216no—
37C2×#559C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#555C2212yes—
40C2×#551C2212yes—
41C2×#551C2212yes—
42C2×D4×Q8C2211yescharacteristic
43C2×#548C2211yescharacteristic
44C2×#548C2211yescharacteristic
45C2×#546C2211yescharacteristic
46C2×#546C2212yes—
47C2×#546C2211yescharacteristic
48C2×D42C2211yescharacteristic
49#3461—216no—
50C2×#544C2211yescharacteristic, complemented
51C2×#542C2212yes—
52C2×#542C2211yescharacteristic, complemented
53C2×#542C2211yescharacteristic, complemented
54C2×#542C2212yescomplemented
55C2×#541C2211yescharacteristic, complemented
56C2×#541C2211yescharacteristic, complemented
57C2×#541C2212yescomplemented
58C2×#539C2212yes—
59C2×#539C2212yescomplemented
60C2×#538C2212yes—
61C2×#538C2212yes—
62C2×#537C2211yescharacteristic
63C2×#536C2211yescharacteristic
64C2×#536C2211yescharacteristic, complemented
65C2×#533C2211yescharacteristic, complemented
66C2×#533C2212yescomplemented
67C2×#533C2211yescharacteristic, complemented
68C2×#532C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#529C2212yes—
73C2×#529C2212yescomplemented
74C2×#529C2212yescomplemented
75C2×#529C2211yescharacteristic, complemented
76C2×#529C2211yescharacteristic, complemented
77C22×#124C2211yescharacteristic
78C22×#124C2211yescharacteristic
79C2×#518C2212yes—
80C2×C4×#41C2211yescharacteristic
81C2×C4×#41C2211yescharacteristic, complemented
82C22×C4×Q8C2211yescharacteristic, complemented
83#2852C2214yescomplemented
84#2850C2214yescomplemented
85#2821C2212yescomplemented
86#2821C2212yescomplemented
87#2821C2212yescomplemented
88#2820C2212yes—
89#2820C2212yescomplemented
90#2820C2212yescomplemented
91#2819C2212yescomplemented
92#2818C2212yes—
93#2817C2212yescomplemented
94#2816C2212yes—
95#2816C2212yescomplemented
96#2816C2212yescomplemented
97#2814C2212yescomplemented
98#2814C2212yescomplemented
99#2813C2212yes—
100#2813C2212yescomplemented
101#2732C2214yescomplemented
102#2731C2214yescomplemented
103#2730C2214yescomplemented
104#2729C2214yescomplemented
105#2723C2214yescomplemented
106#2721C2214yescomplemented
107#2715C2214yescomplemented
108#2713C2214yescomplemented
109#2711C2214yes—
110#2707C2214yescomplemented
111#2704C2214yescomplemented
112#2698C2214yescomplemented
113#2696C2214yescomplemented
114#2696C2214yescomplemented
115#2694C2214yescomplemented
116#2692C2214yescomplemented
117#2691C2214yescomplemented
118#2686C2214yescomplemented
119#2685C2214yes—
120#2684C2214yescomplemented
121#2683C2214yescomplemented
122#2681C2214yescomplemented
123#2680C2214yescomplemented
124#2678C2214yes—
125#2677C2214yescomplemented
126#2677C2214yescomplemented
127#2676C2214yes—
128#2674C2214yescomplemented
129#2672C2214yescomplemented
130#2671C2214yescomplemented
131#2671C2214yescomplemented
132#2668C2214yescomplemented
133#2664C2212yescomplemented
134#2663C2212yescomplemented
135#2663C2212yescomplemented
136#2663C2212yescomplemented
137#2662C2212yes—
138#2662C2212yescomplemented
139#2662C2212yescomplemented
140#2661C2212yes—
141#2660C2212yescomplemented
142#2659C2212yescomplemented
143#2658C2212yescomplemented
144#2656C2212yescomplemented
145#2641C2212yes—
146#2640C2212yescomplemented
147#2639C2212yes—
148#2639C2212yescomplemented
149#2638C2212yescomplemented
150#2637C2214yescomplemented
151#2637C2212yescomplemented
152#2636C2212yescomplemented
153#2635C2212yescomplemented
154#2634C2211yescharacteristic, complemented
155#2634C2211yescharacteristic, complemented
156#2634C2212yescomplemented
157#2634C2211yescharacteristic, complemented
158#2633C2212yes—
159#2633C2212yescomplemented
160#2633C2211yescharacteristic, complemented
161#2632C2212yes—
162#2632C2211yescharacteristic
163#2632C2211yescharacteristic
164#2632C2211yescharacteristic
165#2632C2214yescomplemented
166#2632C2211yescharacteristic, complemented
167#2632C2211yescharacteristic, complemented
168#2632C2211yescharacteristic, complemented
169#2632C2211yescharacteristic, complemented
170#2632C2212yescomplemented
171#2632C2212yescomplemented
172#2632C2212yescomplemented
173#2632C2211yescharacteristic, complemented
174#2632C2211yescharacteristic, complemented
175#2631C2211yescharacteristic
176#2631C2212yescomplemented
177#2631C2211yescharacteristic, complemented
178#2631C2211yescharacteristic, complemented
179#2628C2212yescomplemented
180#2628C2212yescomplemented
181#2627C2212yescomplemented
182#2626C2212yescomplemented
183#2626C2212yescomplemented
184#2623C2212yescomplemented
185#2618C2212yes—
186#2616C2212yescomplemented
187#2616C2212yescomplemented
188#2614C2212yescomplemented
189#2614C2212yescomplemented
190#2613C2212yes—
191#2611C2212yescomplemented
192#2610C2212yes—
193#2610C2212yescomplemented
194#2610C2212yescomplemented
195#2610C2214yescomplemented
196#2609C2214yescomplemented
197#2604C2212yescomplemented
198#2604C2214yescomplemented
199#2603C2212yes—
200#2602C2214yescomplemented
201#2601C2214yescomplemented
202#2600C2214yescomplemented
203#2599C2212yescomplemented
204#2599C2212yescomplemented
205#2599C2214yescomplemented
206#2598C2212yescomplemented
207#2598C2212yescomplemented
208#2598C2214yescomplemented
209#2592C2212yescomplemented
210#2584C2212yescomplemented
211#2564C2212yescomplemented
212#2564C2212yescomplemented
213#2564C2212yescomplemented
214#2563C2212yescomplemented
215#2562C2212yescomplemented
216#2561C2212yescomplemented
217#2559C2214yescomplemented
218#2558C2214yescomplemented
219#2555C2214yescomplemented
220#2554C2214yescomplemented
221#2545C2214yescomplemented
222#2543C2212yes—
223#2543C2214yescomplemented
224#2542C2212yescomplemented
225#2540C2212yescomplemented
226#2539C2214yes—
227#2539C2212yescomplemented
228#2536C2214yescomplemented
229#2534C2214yescomplemented
230#2534C2214yescomplemented
231#2521C2214yescomplemented
232#2519C2214yescomplemented
233#2512C2214yescomplemented
234#2500C2214yescomplemented
235#2498C2214yescomplemented
236#2498C2212yescomplemented
237#2491C2214yescomplemented
238#2488C2214yescomplemented
239#2485C2214yescomplemented
240#2482C2214yescomplemented
241#2482C2212yescomplemented
242#2480C2214yescomplemented
243#2479C2214yescomplemented
244#2475C2214yescomplemented
245#2472C2214yes—
246#2472C2214yescomplemented
247#2468C2214yescomplemented
248#2467C2214yescomplemented
249#2461C2214yescomplemented
250#2460C2214yescomplemented
251#2449C2214yescomplemented
252#2443C2214yes—
253#2440C2214yescomplemented
254#2437C2214yescomplemented
255#2435C2212yes—
256#2434C2212yescomplemented
257#2430C2212yescomplemented
258#2430C2212yescomplemented
259#2430C2212yescomplemented
260#2425C2214yescomplemented
261#2425C2214yescomplemented
262#2424C2214yescomplemented
263#2419C2214yes—
264#2416C2214yescomplemented
265#2412C2214yescomplemented
266#2410C2214yes—
267#2409C2212yescomplemented
268#2408C2212yes—
269#2405C2214yes—
270#2404C2212yescomplemented
271#2399C2212yescomplemented
272#2398C2212yescomplemented
273#2396C2212yescomplemented
274#2396C2212yescomplemented
275C2×#399C2212yescomplemented
276C2×#395C2212yescomplemented
277C2×#394C2212yes—
278C2×#393C2212yescomplemented
279#2356C2212yescomplemented
280#2353C2212yes—
281#2353C2212yescomplemented
282#2349C2212yescomplemented
283#2347C2212yescomplemented
284#2343C2212yescomplemented
285#2343C2212yescomplemented
286#2339C2212yes—
287#2325C2214yescomplemented
288#2321C2214yescomplemented
289#2320C2212yescomplemented
290#2318C2212yes—
291#2318C2212yescomplemented
292C4×#123C2214yescomplemented
293C2×#388C2214yescomplemented
294#2283C2211yescharacteristic, complemented
295#2283C2211yescharacteristic, complemented
296#2283C2211yescharacteristic, complemented
297#2283C2211yescharacteristic, complemented
298C2×#383C2211yescharacteristic, complemented
299C2×#383C2211yescharacteristic, complemented
300#2275C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C23×Q8C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×Q8C2311yescharacteristic
308C23×D4C2312yes—
309C23×D4C2311yescharacteristic
310C23×D4C2311yescharacteristic
311#559—28no—
312#556—28no—
313#555—216no—
314#551—216no—
315#551—216no—
316D4×Q8—28no—
317#548—28no—
318#548—28no—
319#546—216no—
320#546—28no—
321#546—28no—
322D42—28no—
323#544—28no—
324#542—216no—
325#542—216no—
326#542—28no—
327#542—28no—
328#541—216no—
329#541—28no—
330#541—28no—
331#539—216no—
332#539—216no—
333#538—216no—
334#538—216no—
335#537—28no—
336#536—28no—
337#536—28no—
338#533—216no—
339#533—28no—
340#533—28no—
341#532—28no—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2314yes—
351C2×#127C2311yescharacteristic
352#529—216no—
353#529—216no—
354#529—216no—
355#529—28no—
356#529—28no—
357#529—28no—
358#529—28no—
359#529—28no—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#126C2312yes—
368C2×#126C2312yes—
369C2×#126C2312yes—
370C2×#126C2312yes—
371C2×#126C2312yes—
372C2×#126C2312yes—
373C2×#125C2312yes—
374C2×#125C2311yescharacteristic
375C2×#125C2312yes—
376C2×#125C2311yescharacteristic
377C2×#125C2311yescharacteristic
378C2×#125C2312yes—
379C2×#125C2312yes—
380C2×#125C2312yes—
381C2×#125C2312yes—
382C2×#125C2312yes—
383C2×#124—28no—
384C2×#124—28no—
385C2×#124C2311yescharacteristic
386C2×#124C2312yes—
387C2×#124C2311yescharacteristic
388C2×#124C2311yescharacteristic
389C2×#124C2312yes—
390C2×#124C2312yes—
391C2×#124C2311yescharacteristic
392C2×#124C2311yescharacteristic
393C2×#124C2312yes—
394C2×#124C2311yescharacteristic
395C2×#124C2311yescharacteristic
396C2×#124C2311yescharacteristic
397C2×#124C2311yescharacteristic
398C2×#124C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2314yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2314yes—
421C2×#123C2314yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2311yescharacteristic
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2311yescharacteristic
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2314yes—
446C2×C22⋊Q8C2314yes—
447C2×C22⋊Q8C2314yes—
448C2×#121C2311yescharacteristic
449C2×#121C2312yes—
450C2×#121C2311yescharacteristic
451C2×#121C2311yescharacteristic
452C2×#121C2311yescharacteristic
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2311yescharacteristic
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2314yes—
464C2×#121C2314yes—
465C2×#121C2314yes—
466C2×#121C2314yes—
467C2×#120C2312yes—
468C2×#120C2312yes—
469C2×#120C2312yes—
470C2×#120C2312yes—
471C2×#120C2314yes—
472C2×#120C2314yes—
473#518—216no—
474C4×#41—28no—
475C4×#41D4116yescomplemented
476C2×C4×Q8—28no—
477C2×C4×Q8C2311yescharacteristic
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2312yes—
481C2×C4×Q8C2311yescharacteristic
482C2×C4×Q8C2312yes—
483C2×C4×Q8C2311yescharacteristic
484C2×C4×Q8C2311yescharacteristic
485C2×C4×Q8C2311yescharacteristic
486C2×C4×Q8C2312yes—
487C2×C4×Q8C2312yes—
488C2×C4×Q8C2311yescharacteristic
489C2×C4×Q8C2311yescharacteristic
490C2×C4×Q8C2311yescharacteristic
491C2×C4×Q8C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2311yescharacteristic
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2314yes—
511C2×C4×D4C2311yescharacteristic
512C2×C4×D4C2311yescharacteristic
513C2×C4×D4C2311yescharacteristic
514C2×C4×D4C2311yescharacteristic
515C2×C4×D4C2311yescharacteristic
516C2×C4×D4C2311yescharacteristic
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2312yes—
520C2×#117C2312yes—
521C2×#117C2312yes—
522C2×#117C2312yes—
523C2×#117C2311yescharacteristic
524C2×#117C2312yes—
525C2×#117C2312yes—
526C2×#117C2312yes—
527C2×#117C2311yescharacteristic
528C2×#117C2311yescharacteristic
529C2×#117C2311yescharacteristic
530C22×C4⋊C4C2312yes—
531C22×C4⋊C4C2311yescharacteristic
532C22×C4⋊C4C2314yes—
533C22×C22⋊C4C2312yes—
534C22×C22⋊C4C2312yes—
535C22×C22⋊C4C2312yes—
536C22×C22⋊C4C2312yes—
537C22×C22⋊C4C2312yes—
538C22×C22⋊C4C2312yes—
539C22×C22⋊C4C2314yes—
540C22×C22⋊C4C2314yes—
541C22×C42C2312yes—
542C22×C42C2312yes—
543C22×C42C2311yescharacteristic
544C22×C42C2311yescharacteristic
545C22×C42C2311yescharacteristic
546#400C2312yes—
547#400C2312yes—
548#400C2314yes—
549#400C2312yes—
550#400C2312yes—
551#400C2314yes—
552#400C2314yes—
553#400C2312yes—
554#400C2312yes—
555#399C2314yes—
556#399C2312yes—
557#399C2312yes—
558#399C2312yes—
559#399C2312yes—
560#399C2312yes—
561#399C2312yes—
562#399C2312yes—
563#399C2314yes—
564#399C2314yes—
565#399C2314yes—
566#399C2314yes—
567#399C2312yes—
568#399C2312yes—
569#399C2312yes—
570#399C2314yes—
571#399C2314yes—
572#398C2312yes—
573#398C2312yes—
574#398C2314yes—
575#398C2314yes—
576#398C2314yes—
577#398C2314yes—
578#398C2314yes—
579#398C2312yes—
580#398C2314yes—
581#398C2314yes—
582#398C2312yes—
583#398C2314yes—
584#398C2314yes—
585#398C2314yes—
586#397C2312yes—
587#397C2312yes—
588#397C2314yes—
589#397C2314yes—
590#397C2314yes—
591#397C2314yes—
592#397C2314yes—
593#397C2314yes—
594#397C2314yes—
595#397C2312yes—
596#397C2312yes—
597#397C2314yes—
598#397C2314yes—
599#397C2314yes—
600#396C2314yes—
601#396C2314yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#396C2314yes—
607#396C2314yes—
608#396C2314yes—
609#396C2314yes—
610#396C2314yes—
611#396C2314yes—
612#395C2312yes—
613#395C2312yes—
614#395C2314yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2314yes—
621#395C2312yes—
622#395C2314yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2314yes—
627#395C2312yes—
628#395C2314yes—
629#395C2314yes—
630#394C2312yes—
631#394C2312yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2312yes—
641#394C2314yes—
642#394C2314yes—
643#394C2314yes—
644#394C2314yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2314yes—
649#394C2312yes—
650#394C2314yes—
651#394C2314yes—
652#394C2314yes—
653#394C2314yes—
654#394C2314yes—
655#394C2314yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2314yes—
660#394C2314yes—
661#393C2314yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2314yes—
668#393C2312yes—
669#393C2312yes—
670#393C2314yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2314yes—
675#393C2312yes—
676#393C2312yes—
677#393C2314yes—
678#393C2314yes—
679#392C2312yes—
680#392C2314yes—
681#392C2312yes—
682#392C2314yes—
683#392C2312yes—
684#392C2314yes—
685#392C2312yes—
686#392C2314yes—
687#392C2314yes—
688#392C2312yes—
689#392C2312yes—
690#391C2314yes—
691#391C2314yes—
692#391C2314yes—
693#390C2314yes—
694#390C2314yes—
695#390C2314yes—
696#390C2314yes—
697#390C2314yes—
698#390C2314yes—
699#390C2314yes—
700#390C2314yes—
701#390C2314yes—
702#390C2314yes—
703#389C2314yes—
704#389C2314yes—
705#389C2314yes—
706#389C2314yes—
707#389C2314yes—
708#389C2314yes—
709#389C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#384C2314yes—
795#383C2312yes—
796#383C2312yes—
797#383C2312yes—
798#383C2312yes—
799#383C2312yes—
800#383C2312yes—
801#383C2311yescharacteristic
802#383C2311yescharacteristic
803#383C2311yescharacteristic
804#383C2311yescharacteristic
805#382C2314yes—
806#382C2312yes—
807#382C2312yes—
808#382C2312yes—
809#382C2312yes—
810#381C2312yes—
811#381C2312yes—
812#381C2314yes—
813#381C2312yes—
814#381C2312yes—
815#381C2314yes—
816#380C2314yes—
817#380C2314yes—
818#380C2314yes—
819#380C2314yes—
820#380C2314yes—
821#380C2314yes—
822#380C2314yes—
823#380C2312yes—
824#380C2312yes—
825#380C2312yes—
826#380C2312yes—
827#379C2314yes—
828#379C2314yes—
829#379C2314yes—
830#379C2314yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2314yes—
837C4×C4⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846#376C2312yes—
847#376C2312yes—
848#376C2312yes—
849#376C2312yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C2×#95C2312yes—
855C2×#95C2312yes—
856C2×#95C2314yes—
857C25C2412yes—
858C25C2412yes—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—82no—
865C2×#41—82no—
866C2×#41C2×D418yes—
867C22×Q8—24no—
868C22×Q8—24no—
869C22×Q8—24no—
870C22×Q8—44no—
871C22×Q8—82no—
872C22×Q8—82no—
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2412yes—
876C22×Q8C2411yescharacteristic
877C22×Q8C2412yes—
878C22×Q8C2412yes—
879C22×Q8C2411yescharacteristic
880C22×Q8C2411yescharacteristic
881C22×Q8C2411yescharacteristic
882C22×Q8C2412yes—
883C22×Q8C2412yes—
884C22×Q8C2411yescharacteristic
885C22×D4—28no—
886C22×D4—24no—
887C22×D4—24no—
888C22×D4—48no—
889C22×D4—82no—
890C22×D4—82no—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2411yescharacteristic
894C22×D4C2411yescharacteristic
895C22×D4C2412yes—
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2411yescharacteristic
903C22×D4C2411yescharacteristic
904C22×D4C2411yescharacteristic
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2414yes—
912C22×D4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2414yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2414yes—
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2411yescharacteristic
936C4⋊Q8—28no—
937C4⋊Q8—28no—
938C4⋊Q8—28no—
939C4⋊Q8—24no—
940C4⋊Q8—24no—
941C4⋊Q8—24no—
942C4⋊Q8—24no—
943C4⋊Q8—24no—
944C4⋊Q8—84no—
945#127—24no—
946#126—28no—
947#126—28no—
948#126—28no—
949#126—28no—
950#126—28no—
951#126—28no—
952#126—28no—
953#126—28no—
954#126—28no—
955#126—28no—
956#126—28no—
957#126—28no—
958#126—28no—
959#125—28no—
960#125—28no—
961#125—28no—
962#125—28no—
963#125—28no—
964#125—24no—
965#125—24no—
966#125—24no—
967#125—28no—
968#125—28no—
969#124—28no—
970#124—28no—
971#124—28no—
972#124—28no—
973#124—28no—
974#124—28no—
975#124—24no—
976#124—24no—
977#124—24no—
978#124—28no—
979#124—28no—
980#124—24no—
981#124—24no—
982#124—24no—
983#124—24no—
984#124—28no—
985#124—28no—
986#124—24no—
987#124—24no—
988#124—84no—
989#123—28no—
990#123—28no—
991#123—28no—
992#123—28no—
993#123—28no—
994#123—28no—
995#123—28no—
996#123—28no—
997#123—28no—
998#123—28no—
999#123—28no—
1000#123—28no—
1001#123—28no—
1002#123—28no—
1003#123—28no—
1004#123—48no—
1005#123—84no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—24no—
1009C22⋊Q8—24no—
1010C22⋊Q8—24no—
1011C22⋊Q8—24no—
1012C22⋊Q8—24no—
1013C22⋊Q8—24no—
1014C22⋊Q8—24no—
1015C22⋊Q8—24no—
1016C22⋊Q8—24no—
1017C22⋊Q8—28no—
1018C22⋊Q8—28no—
1019C22⋊Q8—28no—
1020C22⋊Q8—28no—
1021C22⋊Q8—28no—
1022C22⋊Q8—28no—
1023C22⋊Q8—28no—
1024C22⋊Q8—28no—
1025C22⋊Q8—28no—
1026C22⋊Q8—28no—
1027C22⋊Q8—28no—
1028C22⋊Q8—28no—
1029C22⋊Q8—84no—
1030C22⋊Q8—84no—
1031C22⋊Q8—84no—
1032#121—28no—
1033#121—28no—
1034#121—28no—
1035#121—28no—
1036#121—28no—
1037#121—24no—
1038#121—24no—
1039#121—24no—
1040#121—24no—
1041#121—24no—
1042#121—28no—
1043#121—28no—
1044#121—28no—
1045#121—28no—
1046#121—28no—
1047#121—48no—
1048#121—84no—
1049#121—84no—
1050#121—84no—
1051#120—28no—
1052#120—28no—
1053#120—28no—
1054#120—28no—
1055#120—48no—
1056#120—84no—
1057C4×Q8—28no—
1058C4×Q8—24no—
1059C4×Q8—24no—
1060C4×Q8—24no—
1061C4×Q8—24no—
1062C4×Q8—28no—
1063C4×Q8—24no—
1064C4×Q8—24no—
1065C4×Q8—28no—
1066C4×Q8—28no—
1067C4×Q8—24no—
1068C4×Q8—24no—
1069C4×Q8—24no—
1070C4×Q8C2×D418yes—
1071C4×Q8C2×D418yes—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—28no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—24no—
1084C4×D4—24no—
1085C4×D4—28no—
1086C4×D4—24no—
1087C4×D4—24no—
1088C4×D4—24no—
1089C4×D4—28no—
1090C4×D4—48no—
1091C4×D4C2×D418yes—
1092C4×D4C2×D418yes—
1093C4×D4C2×D418yes—
1094C4×D4C2×D418yes—
1095C4×D4C2×D418yes—
1096C4×D4C2×D418yes—
1097#117—24no—
1098#117—28no—
1099#117—28no—
1100#117—28no—
1101#117—28no—
1102#117—28no—
1103#117—28no—
1104#117—28no—
1105#117—28no—
1106#117—28no—
1107#117C2×D418yes—
1108#117C2×D418yes—
1109#117C2×D418yes—
1110C2×C4⋊C4—24no—
1111C2×C4⋊C4—28no—
1112C2×C4⋊C4—84no—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2411yescharacteristic
1170C2×C4⋊C4C2411yescharacteristic
1171C2×C4⋊C4C2411yescharacteristic
1172C2×C4⋊C4C2411yescharacteristic
1173C2×C4⋊C4C2411yescharacteristic
1174C2×C4⋊C4C2411yescharacteristic
1175C2×C22⋊C4—28no—
1176C2×C22⋊C4—28no—
1177C2×C22⋊C4—28no—
1178C2×C22⋊C4—28no—
1179C2×C22⋊C4—28no—
1180C2×C22⋊C4—28no—
1181C2×C22⋊C4—48no—
1182C2×C22⋊C4—84no—
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⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2411yescharacteristic
1252C2×C22⋊C4C2411yescharacteristic
1253C2×C22⋊C4C2411yescharacteristic
1254C2×C22⋊C4C2411yescharacteristic
1255C2×C22⋊C4C2411yescharacteristic
1256C2×C22⋊C4C2411yescharacteristic
1257C2×C42—28no—
1258C2×C42—28no—
1259C2×C42C2×D418yes—
1260C2×C42C2×D418yes—
1261C2×C42C2×D418yes—
1262C2×C42C2412yes—
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2412yes—
1266C2×C42C2412yes—
1267C2×C42C2412yes—
1268C2×C42C2412yes—
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2412yes—
1272C2×C42C2414yes—
1273C2×C42C2414yes—
1274C2×C42C2414yes—
1275C2×C42C2414yes—
1276C2×C42C2411yescharacteristic
1277C2×C42C2411yescharacteristic
1278C2×C42C2411yescharacteristic
1279C2×C42C2411yescharacteristic
1280C2×C42C2411yescharacteristic
1281C2×C42C2411yescharacteristic
1282C2×C42C2411yescharacteristic
1283C2×C42C2411yescharacteristic
1284C2×C42C2411yescharacteristic
1285C2×C42C2411yescharacteristic
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2412yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330C24—24no—
1331C24—24no—
1332C24—28no—
1333C24—44no—
1334C24—44no—
1335C24—42no—
1336C24—42no—
1337C24—44no—
1338C24—42no—
1339C24—42no—
1340C24C2512yes—
1341C24C2512yes—
1342C24C2512yes—
1343C24C2512yes—
1344C24C2511yescharacteristic
1345C24C2511yescharacteristic
1346C24C2511yescharacteristic
1347#41—416no—
1348#41—416no—
1349#41—88no—
1350#41—88no—
1351C2×Q8—24no—
1352C2×Q8—22no—
1353C2×Q8—22no—
1354C2×Q8—22no—
1355C2×Q8—22no—
1356C2×Q8—22no—
1357C2×Q8—22no—
1358C2×Q8—24no—
1359C2×Q8—24no—
1360C2×Q8—24no—
1361C2×Q8—24no—
1362C2×Q8—42no—
1363C2×Q8—42no—
1364C2×Q8—42no—
1365C2×Q8—42no—
1366C2×Q8—42no—
1367C2×Q8—42no—
1368C2×Q8—42no—
1369C2×Q8—42no—
1370C2×Q8—42no—
1371C2×Q8—44no—
1372C2×Q8—44no—
1373C2×Q8—44no—
1374C2×Q8—44no—
1375C2×Q8—416no—
1376C2×Q8—88no—
1377C2×Q8—88no—
1378C2×Q8C22×D414yes—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—28no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—22no—
1393C2×D4—24no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—432no—
1427C2×D4—88no—
1428C2×D4—88no—
1429C2×D4C22×D414yes—
1430C2×D4C22×D414yes—
1431C2×D4C22×D414yes—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—28no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—42no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4C22×D414yes—
1476C22×C4C22×D414yes—
1477C22×C4C22×D414yes—
1478C22×C4C22×D414yes—
1479C22×C4C22×D414yes—
1480C22×C4C22×D414yes—
1481C22×C4C22×D414yes—
1482C22×C4C22×D414yes—
1483C22×C4C22×D414yes—
1484C22×C4C2514yes—
1485C22×C4C2514yes—
1486C22×C4C2514yes—
1487C22×C4C2514yes—
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2512yes—
1491C22×C4C2512yes—
1492C22×C4C2512yes—
1493C22×C4C2512yes—
1494C22×C4C2512yes—
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2512yes—
1500C22×C4C2511yescharacteristic
1501C22×C4C2511yescharacteristic
1502C22×C4C2511yescharacteristic
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C22×C4C2511yescharacteristic
1507C22×C4C2511yescharacteristic
1508C22×C4C2511yescharacteristic
1509C22×C4C2511yescharacteristic
1510C22×C4C2511yescharacteristic
1511C22×C4C2511yescharacteristic
1512C4⋊C4—24no—
1513C4⋊C4—22no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—22no—
1524C4⋊C4—24no—
1525C4⋊C4—22no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—22no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4—44no—
1563C4⋊C4—44no—
1564C4⋊C4—44no—
1565C4⋊C4—44no—
1566C4⋊C4—44no—
1567C4⋊C4—44no—
1568C4⋊C4C22×D414yes—
1569C4⋊C4C22×D414yes—
1570C4⋊C4C22×D414yes—
1571C4⋊C4C22×D414yes—
1572C4⋊C4C22×D414yes—
1573C4⋊C4C22×D414yes—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—28no—
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—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4C22×D414yes—
1643C22⋊C4C22×D414yes—
1644C22⋊C4C22×D414yes—
1645C22⋊C4C22×D414yes—
1646C22⋊C4C22×D414yes—
1647C22⋊C4C22×D414yes—
1648C42—24no—
1649C42—24no—
1650C42—24no—
1651C42—24no—
1652C42—24no—
1653C42—24no—
1654C42—24no—
1655C42—24no—
1656C42—24no—
1657C42—24no—
1658C42—44no—
1659C42—44no—
1660C42—44no—
1661C42—44no—
1662C42C22×D414yes—
1663C42C22×D414yes—
1664C42C22×D414yes—
1665C42C22×D414yes—
1666C42C22×D414yes—
1667C42C22×D414yes—
1668C42C22×D414yes—
1669C42C22×D414yes—
1670C42C22×D414yes—
1671C42C22×D414yes—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—24no—
1685C23—24no—
1686C23—24no—
1687C23—22no—
1688C23—22no—
1689C23—24no—
1690C23—24no—
1691C23—24no—
1692C23—24no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—24no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—48no—
1701C23—48no—
1702C23—84no—
1703C23—84no—
1704C23—84no—
1705C23—88no—
1706C23—88no—
1707C23—84no—
1708C23—164no—
1709C23—164no—
1710C23C23×D412yes—
1711C23C23×D412yes—
1712C23C23×D412yes—
1713C23#58514yes—
1714C23C2611yescharacteristic
1715Q8—44no—
1716Q8—44no—
1717Q8—44no—
1718Q8—48no—
1719Q8—44no—
1720Q8—44no—
1721Q8—44no—
1722Q8—44no—
1723Q8—84no—
1724Q8—84no—
1725Q8—84no—
1726Q8—84no—
1727D4—28no—
1728D4—28no—
1729D4—44no—
1730D4—48no—
1731D4—44no—
1732D4—44no—
1733D4—44no—
1734D4—44no—
1735D4—48no—
1736D4—48no—
1737D4—48no—
1738D4—84no—
1739D4—84no—
1740D4—84no—
1741D4—84no—
1742D4—84no—
1743D4—84no—
1744D4—84no—
1745D4—84no—
1746D4—164no—
1747D4—164no—
1748D4—164no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—28no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—24no—
1775C2×C4—24no—
1776C2×C4—24no—
1777C2×C4—24no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—24no—
1785C2×C4—24no—
1786C2×C4—24no—
1787C2×C4—24no—
1788C2×C4—24no—
1789C2×C4—24no—
1790C2×C4—24no—
1791C2×C4—24no—
1792C2×C4—24no—
1793C2×C4—24no—
1794C2×C4—24no—
1795C2×C4—24no—
1796C2×C4—24no—
1797C2×C4—24no—
1798C2×C4—24no—
1799C2×C4—22no—
1800C2×C4—24no—
1801C2×C4—22no—
1802C2×C4—44no—
1803C2×C4—44no—
1804C2×C4—44no—
1805C2×C4—44no—
1806C2×C4—44no—
1807C2×C4—44no—
1808C2×C4—44no—
1809C2×C4—44no—
1810C2×C4—48no—
1811C2×C4—48no—
1812C2×C4—48no—
1813C2×C4—48no—
1814C2×C4—84no—
1815C2×C4—84no—
1816C2×C4—84no—
1817C2×C4—84no—
1818C2×C4—84no—
1819C2×C4—84no—
1820C2×C4—88no—
1821C2×C4—84no—
1822C2×C4—84no—
1823C2×C4—164no—
1824C2×C4C23×D412yes—
1825C2×C4C23×D412yes—
1826C2×C4C23×D412yes—
1827C2×C4C23×D412yes—
1828C2×C4C23×D412yes—
1829C2×C4C23×D412yes—
1830C2×C4C23×D412yes—
1831C2×C4C23×D412yes—
1832C2×C4C23×D412yes—
1833C2×C4C23×D412yes—
1834C2×C4C23×D412yes—
1835C2×C4C23×D412yes—
1836C22—22no—
1837C22—22no—
1838C22—28no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—44no—
1846C22—44no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—44no—
1856C22—44no—
1857C22—44no—
1858C22—44no—
1859C22—44no—
1860C22—44no—
1861C22—44no—
1862C22—44no—
1863C22—42no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—168no—
1868C22—168no—
1869C22#344914yes—
1870C22C24×D411yescharacteristic
1871C22C2×#58512yes—
1872C22H(7,𝔽2)12yes—
1873C222−1+612yes—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—22no—
1878C4—22no—
1879C4—22no—
1880C4—22no—
1881C4—22no—
1882C4—22no—
1883C4—22no—
1884C4—22no—
1885C4—22no—
1886C4—42no—
1887C4—42no—
1888C4—42no—
1889C4—42no—
1890C4—42no—
1891C4—42no—
1892C4—42no—
1893C4—42no—
1894C4—44no—
1895C4—44no—
1896C4—44no—
1897C4—44no—
1898C4—42no—
1899C4—42no—
1900C4—42no—
1901C4—42no—
1902C2—24no—
1903C2—42no—
1904C2—42no—
1905C2—82no—
1906C2—82no—
1907C2—82no—
1908C2—82no—
1909C2C2×#344911yescharacteristic
1910C2#6285211yescharacteristic
1911C2#6285911yescharacteristic
1912C2#6287214yes—
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×#3514C2semidirect
2. C2×#3461C2semidirect
3. #42388C2semidirect
4. #42387C2semidirect
5. #42312C2semidirect
6. #42311C2semidirect
7. #42308C2semidirect
8. #42307C2semidirect
9. #42304C2semidirect
10. #42303C2semidirect
11. #42296C2semidirect
12. #42294C2semidirect
13. #41953C2semidirect
14. #41952C2semidirect
15. #40495C2semidirect
16. #40494C2semidirect
17. #40493C2semidirect
18. #40492C2semidirect
19. #37634C2semidirect
20. #37606C2semidirect
21. #37560C2semidirect
22. #37558C2semidirect
23. #37557C2semidirect
24. #37556C2semidirect
25. #37543C2semidirect
26. #37537C2semidirect
27. #37260C2semidirect
28. #37122C2semidirect
29. #35465C2semidirect
30. #35449C2semidirect
31. #35144C2semidirect
32. #35129C2semidirect
33. #34602C2semidirect
34. C2×#2632C2semidirect
35. #34195C2semidirect
50. C2×#544C22semidirect
52. C2×#542C22semidirect
53. C2×#542C22semidirect
54. C2×#542C22semidirect
55. C2×#541C22semidirect
56. C2×#541C22semidirect
57. C2×#541C22semidirect
59. C2×#539C22semidirect
64. C2×#536C22semidirect
65. C2×#533C22semidirect
66. C2×#533C22semidirect
67. C2×#533C22semidirect
73. C2×#529C22semidirect
74. C2×#529C22semidirect
75. C2×#529C22semidirect
76. C2×#529C22semidirect
81. C2×C4×#41C22semidirect
82. C22×C4×Q8C22semidirect
83. #2852C22semidirect
84. #2850C22semidirect
85. #2821C22semidirect
86. #2821C22semidirect
87. #2821C22semidirect
89. #2820C22semidirect
90. #2820C22semidirect
91. #2819C22semidirect
93. #2817C22semidirect
95. #2816C22semidirect
96. #2816C22semidirect
97. #2814C22semidirect
98. #2814C22semidirect
100. #2813C22semidirect
101. #2732C22semidirect
102. #2731C22semidirect
103. #2730C22semidirect
104. #2729C22semidirect
105. #2723C22semidirect
106. #2721C22semidirect
107. #2715C22semidirect
108. #2713C22semidirect
110. #2707C22semidirect
111. #2704C22semidirect
112. #2698C22semidirect
113. #2696C22semidirect
114. #2696C22semidirect
115. #2694C22semidirect
116. #2692C22semidirect
117. #2691C22semidirect
118. #2686C22semidirect
120. #2684C22semidirect
121. #2683C22semidirect
122. #2681C22semidirect
123. #2680C22semidirect
125. #2677C22semidirect
126. #2677C22semidirect
128. #2674C22semidirect
129. #2672C22semidirect
130. #2671C22semidirect
131. #2671C22semidirect
132. #2668C22semidirect
133. #2664C22semidirect
134. #2663C22semidirect
135. #2663C22semidirect
136. #2663C22semidirect
138. #2662C22semidirect
139. #2662C22semidirect
141. #2660C22semidirect
142. #2659C22semidirect
143. #2658C22semidirect
144. #2656C22semidirect
146. #2640C22semidirect
148. #2639C22semidirect
149. #2638C22semidirect
150. #2637C22semidirect
151. #2637C22semidirect
152. #2636C22semidirect
153. #2635C22semidirect
154. #2634C22semidirect
155. #2634C22semidirect
156. #2634C22semidirect
157. #2634C22semidirect
159. #2633C22semidirect
160. #2633C22semidirect
165. #2632C22semidirect
166. #2632C22semidirect
167. #2632C22semidirect
168. #2632C22semidirect
169. #2632C22semidirect
170. #2632C22semidirect
171. #2632C22semidirect
172. #2632C22semidirect
173. #2632C22semidirect
174. #2632C22semidirect
176. #2631C22semidirect
177. #2631C22semidirect
178. #2631C22semidirect
179. #2628C22semidirect
180. #2628C22semidirect
181. #2627C22semidirect
182. #2626C22semidirect
183. #2626C22semidirect
184. #2623C22semidirect
186. #2616C22semidirect
187. #2616C22semidirect
188. #2614C22semidirect
189. #2614C22semidirect
191. #2611C22semidirect
193. #2610C22semidirect
194. #2610C22semidirect
195. #2610C22semidirect
196. #2609C22semidirect
197. #2604C22semidirect
198. #2604C22semidirect
200. #2602C22semidirect
201. #2601C22semidirect
202. #2600C22semidirect
203. #2599C22semidirect
204. #2599C22semidirect
205. #2599C22semidirect
206. #2598C22semidirect
207. #2598C22semidirect
208. #2598C22semidirect
209. #2592C22semidirect
210. #2584C22semidirect
211. #2564C22semidirect
212. #2564C22semidirect
213. #2564C22semidirect
214. #2563C22semidirect
215. #2562C22semidirect
216. #2561C22semidirect
217. #2559C22semidirect
218. #2558C22semidirect
219. #2555C22semidirect
220. #2554C22semidirect
221. #2545C22semidirect
223. #2543C22semidirect
224. #2542C22semidirect
225. #2540C22semidirect
227. #2539C22semidirect
228. #2536C22semidirect
229. #2534C22semidirect
230. #2534C22semidirect
231. #2521C22semidirect
232. #2519C22semidirect
233. #2512C22semidirect
234. #2500C22semidirect
235. #2498C22semidirect
236. #2498C22semidirect
237. #2491C22semidirect
238. #2488C22semidirect
239. #2485C22semidirect
240. #2482C22semidirect
241. #2482C22semidirect
242. #2480C22semidirect
243. #2479C22semidirect
244. #2475C22semidirect
246. #2472C22semidirect
247. #2468C22semidirect
248. #2467C22semidirect
249. #2461C22semidirect
250. #2460C22semidirect
251. #2449C22semidirect
253. #2440C22semidirect
254. #2437C22semidirect
256. #2434C22semidirect
257. #2430C22semidirect
258. #2430C22semidirect
259. #2430C22semidirect
260. #2425C22semidirect
261. #2425C22semidirect
262. #2424C22semidirect
264. #2416C22semidirect
265. #2412C22semidirect
267. #2409C22semidirect
270. #2404C22semidirect
271. #2399C22semidirect
272. #2398C22semidirect
273. #2396C22semidirect
274. #2396C22semidirect
275. C2×#399C22semidirect
276. C2×#395C22semidirect
278. C2×#393C22semidirect
279. #2356C22semidirect
281. #2353C22semidirect
282. #2349C22semidirect
283. #2347C22semidirect
284. #2343C22semidirect
285. #2343C22semidirect
287. #2325C22semidirect
288. #2321C22semidirect
289. #2320C22semidirect
291. #2318C22semidirect
292. C4×#123C22semidirect
293. C2×#388C22semidirect
294. #2283C22semidirect
295. #2283C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
298. C2×#383C22semidirect
299. C2×#383C22semidirect
300. #2275C22semidirect
475. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#34612
#423882
#423872
#423122
#423112
#423082
#423072
#423042
#423032
#422962
#422942
#419532
#419522
#404952
#404942
#404932
#404922
#376342
#376062
#375602
#375582
#375572
#375562
#375432
#375372
#372602
#371222
#354652
#354492
#351442
#351292
#346022
C2×#26322
#341952