Finite Group Databasebeta

← #7656360

Subgroups — #7656360

Order 512.

6977 conjugacy classes of subgroups.

The subgroup lattice has 1873 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3501C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic
3#42682C211yesmaximal, characteristic, complemented
4#42678C211yesmaximal, characteristic, complemented
5#42485C211yesmaximal, characteristic, complemented
6#42481C211yesmaximal, characteristic, complemented
7#42437C212yesmaximal, complemented
8#42436C212yesmaximal, complemented
9#41412C212yesmaximal, complemented
10#41408C212yesmaximal, complemented
11#40595C212yesmaximal, complemented
12#40591C212yesmaximal, complemented
13#40511C214yesmaximal, complemented
14#40487C214yesmaximal, complemented
15#39880C212yesmaximal, complemented
16#39877C212yesmaximal, complemented
17#38363C214yesmaximal, complemented
18#38359C214yesmaximal, complemented
19#37551C211yesmaximal, characteristic, complemented
20#37545C211yesmaximal, characteristic, complemented
21#37449C212yesmaximal, complemented
22#37447C212yesmaximal, complemented
23#36219C212yesmaximal, complemented
24#36215C212yesmaximal, complemented
25#35950C211yesmaximal, characteristic, complemented
26#35939C211yesmaximal, characteristic, complemented
27#35928C211yesmaximal, characteristic, complemented
28#35847C211yesmaximal, characteristic, complemented
29#35791C212yesmaximal, complemented
30#35713C212yesmaximal, complemented
31#35200C211yesmaximal, characteristic, complemented
32#35084C212yesmaximal, complemented
33#34627C211yesmaximal, characteristic, complemented
34C2×#2638C212yesmaximal, complemented
35#34190C211yesmaximal, characteristic, complemented
36#3501—216no—
37#3481—216no—
38C2×#559C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#554C2212yes—
41C2×#554C2211yescharacteristic
42C2×#554C2211yescharacteristic
43C2×#554C2211yescharacteristic, complemented
44C2×#554C2212yescomplemented
45C2×#554C2212yescomplemented
46C2×#554C2214yescomplemented
47C2×#553C2212yes—
48C2×#553C2211yescharacteristic
49C2×#553C2211yescharacteristic
50C2×#551C2212yes—
51C2×#551C2212yes—
52C2×D4×Q8C2211yescharacteristic
53C2×D4×Q8C2212yescomplemented
54C2×D4×Q8C2211yescharacteristic, complemented
55C2×#546C2211yescharacteristic
56C2×#546C2212yes—
57C2×#546C2211yescharacteristic
58C2×D42C2211yescharacteristic
59C2×#544C2212yescomplemented
60C2×#543C2214yescomplemented
61C2×#533C2211yescharacteristic, complemented
62C2×#533C2211yescharacteristic, complemented
63C2×#532C2211yescharacteristic
64C2×#529C2211yescharacteristic
65C2×#529C2211yescharacteristic
66C2×#529C2212yes—
67C2×#525C2212yes—
68C2×#525C2212yes—
69C22×C22⋊Q8C2212yescomplemented
70C22×C22⋊Q8C2212yescomplemented
71C2×#518C2212yes—
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C22×C4×D4C2212yes—
75C22×C4×D4C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77#2855C2214yescomplemented
78#2851C2212yescomplemented
79#2851C2212yescomplemented
80#2848C2214yescomplemented
81#2821C2212yescomplemented
82#2821C2212yescomplemented
83#2817C2214yescomplemented
84#2816C2214yescomplemented
85#2814C2214yescomplemented
86#2814C2212yescomplemented
87#2814C2212yescomplemented
88#2814C2212yescomplemented
89#2814C2212yescomplemented
90#2721C2214yescomplemented
91#2719C2214yescomplemented
92#2716C2214yescomplemented
93#2713C2214yescomplemented
94#2700C2214yescomplemented
95#2700C2214yescomplemented
96#2698C2214yescomplemented
97#2698C2214yescomplemented
98#2694C2214yescomplemented
99#2690C2214yescomplemented
100#2689C2214yescomplemented
101#2689C2214yescomplemented
102#2687C2214yescomplemented
103#2687C2214yescomplemented
104#2681C2214yescomplemented
105#2681C2214yescomplemented
106#2680C2214yescomplemented
107#2680C2214yescomplemented
108#2677C2214yescomplemented
109#2674C2214yescomplemented
110#2674C2214yescomplemented
111#2674C2214yescomplemented
112#2672C2214yescomplemented
113#2672C2214yescomplemented
114#2663C2214yescomplemented
115#2660C2211yescharacteristic, complemented
116#2660C2211yescharacteristic, complemented
117#2659C2212yescomplemented
118#2659C2212yescomplemented
119#2640C2211yescharacteristic, complemented
120#2640C2211yescharacteristic, complemented
121#2639C2212yescomplemented
122#2639C2212yescomplemented
123#2638C2211yescharacteristic
124#2638C2212yes—
125#2638C2214yes—
126#2638C2211yescharacteristic
127#2638C2214yescomplemented
128#2638C2212yescomplemented
129#2638C2212yescomplemented
130#2638C2212yescomplemented
131#2638C2212yescomplemented
132#2638C2212yescomplemented
133#2638C2212yescomplemented
134#2638C2214yescomplemented
135#2638C2214yescomplemented
136#2638C2212yescomplemented
137#2638C2212yescomplemented
138#2638C2211yescharacteristic, complemented
139#2638C2211yescharacteristic, complemented
140#2638C2212yescomplemented
141#2637C2212yescomplemented
142#2637C2212yescomplemented
143#2634C2212yescomplemented
144#2633C2212yescomplemented
145#2628C2211yescharacteristic, complemented
146#2628C2211yescharacteristic, complemented
147#2625C2212yescomplemented
148#2625C2212yescomplemented
149#2624C2212yes—
150#2623C2212yescomplemented
151#2623C2212yescomplemented
152#2622C2214yes—
153#2622C2214yescomplemented
154#2621C2214yescomplemented
155#2621C2211yescharacteristic, complemented
156#2621C2211yescharacteristic, complemented
157#2620C2214yescomplemented
158#2616C2212yes—
159#2614C2212yescomplemented
160#2614C2212yescomplemented
161#2611C2214yescomplemented
162#2599C2212yescomplemented
163#2599C2212yescomplemented
164#2599C2214yescomplemented
165#2592C2211yescharacteristic, complemented
166#2592C2211yescharacteristic, complemented
167#2584C2211yescharacteristic, complemented
168#2584C2211yescharacteristic, complemented
169#2583C2212yescomplemented
170#2583C2212yescomplemented
171#2581C2212yescomplemented
172#2580C2212yescomplemented
173#2579C2214yescomplemented
174#2579C2214yescomplemented
175#2567C2211yescharacteristic, complemented
176#2566C2212yescomplemented
177#2565C2212yescomplemented
178#2564C2214yescomplemented
179#2564C2214yescomplemented
180#2563C2211yescharacteristic, complemented
181#2561C2212yescomplemented
182#2561C2212yescomplemented
183#2552C2212yescomplemented
184#2551C2212yescomplemented
185#2550C2212yescomplemented
186#2550C2212yescomplemented
187#2549C2214yescomplemented
188#2549C2214yescomplemented
189#2547C2211yescharacteristic, complemented
190#2546C2211yescharacteristic, complemented
191#2504C2212yescomplemented
192#2502C2212yescomplemented
193#2500C2212yes—
194#2499C2212yescomplemented
195#2499C2214yescomplemented
196#2499C2212yescomplemented
197#2492C2212yescomplemented
198#2491C2212yescomplemented
199#2490C2212yescomplemented
200#2489C2212yescomplemented
201#2488C2214yescomplemented
202#2488C2214yescomplemented
203#2486C2212yescomplemented
204#2486C2212yescomplemented
205#2485C2212yes—
206#2485C2212yescomplemented
207#2484C2214yescomplemented
208#2483C2214yescomplemented
209#2472C2214yescomplemented
210#2472C2214yescomplemented
211#2454C2212yescomplemented
212#2453C2212yescomplemented
213#2452C2212yescomplemented
214#2451C2212yescomplemented
215#2450C2214yescomplemented
216#2450C2214yescomplemented
217#2449C2214yescomplemented
218#2449C2214yescomplemented
219#2447C2212yescomplemented
220#2447C2212yescomplemented
221#2445C2212yes—
222#2445C2212yes—
223#2444C2214yes—
224#2444C2214yescomplemented
225#2443C2214yes—
226#2443C2214yescomplemented
227#2442C2212yescomplemented
228#2441C2212yescomplemented
229#2440C2214yescomplemented
230#2440C2214yescomplemented
231#2440C2212yescomplemented
232#2439C2212yescomplemented
233#2438C2214yescomplemented
234#2438C2214yescomplemented
235#2437C2214yescomplemented
236#2437C2214yescomplemented
237#2436C2212yescomplemented
238#2434C2212yescomplemented
239#2432C2212yes—
240#2432C2214yescomplemented
241#2422C2212yes—
242#2422C2212yescomplemented
243#2420C2212yes—
244#2420C2212yescomplemented
245#2419C2214yescomplemented
246#2419C2214yescomplemented
247#2418C2214yes—
248#2418C2214yes—
249#2415C2214yes—
250#2415C2214yescomplemented
251#2412C2214yes—
252#2412C2214yescomplemented
253#2409C2212yescomplemented
254#2409C2212yescomplemented
255#2406C2214yescomplemented
256#2405C2214yes—
257#2399C2211yescharacteristic, complemented
258#2399C2211yescharacteristic, complemented
259#2398C2211yescharacteristic, complemented
260#2398C2211yescharacteristic, complemented
261#2395C2212yes—
262#2395C2212yescomplemented
263C2×#398C2212yescomplemented
264C2×#397C2212yescomplemented
265C2×#397C2214yescomplemented
266C2×#395C2212yescomplemented
267C2×#394C2214yes—
268C2×#393C2212yescomplemented
269#2357C2212yescomplemented
270#2353C2214yescomplemented
271#2349C2212yes—
272#2349C2212yes—
273#2349C2212yes—
274D4×C4⋊C4C2212yes—
275D4×C4⋊C4C2212yes—
276#2344C2212yescomplemented
277#2342C2214yescomplemented
278#2339C2212yes—
279#2339C2212yes—
280D4×C22⋊C4C2212yes—
281D4×C22⋊C4C2212yes—
282D4×C22⋊C4C2212yes—
283#2327C2212yescomplemented
284#2326C2212yescomplemented
285#2322C2214yescomplemented
286#2322C2214yescomplemented
287#2319C2211yescharacteristic, complemented
288#2319C2211yescharacteristic, complemented
289#2318C2212yescomplemented
290#2318C2212yescomplemented
291C4×C22⋊Q8C2212yescomplemented
292C4×C22⋊Q8C2212yescomplemented
293C2×#387C2214yescomplemented
294C2×#385C2214yescomplemented
295#2283C2211yescharacteristic, complemented
296#2283C2211yescharacteristic, complemented
297#2280C2212yescomplemented
298C2×#381C2212yescomplemented
299#2275C2211yescharacteristic
300#2275C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C23×Q8C2312yes—
305C23×Q8C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2311yescharacteristic
308C23×D4C2312yes—
309C24×C4C2312yes—
310C24×C4C2312yes—
311#559—28no—
312#554—28no—
313#554—216no—
314#554—28no—
315#554—232no—
316#554—216no—
317#554—216no—
318#554—28no—
319#554—28no—
320#553—216no—
321#553—28no—
322#553—28no—
323#551—216no—
324#551—216no—
325D4×Q8—28no—
326D4×Q8—216no—
327D4×Q8—28no—
328#546—28no—
329#546—28no—
330#546—216no—
331D42—28no—
332#544—216no—
333#543—232no—
334#533—28no—
335#533—28no—
336#532—28no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×#127C2311yescharacteristic
348#529—216no—
349#529—28no—
350#529—28no—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#125C2312yes—
356C2×#125C2311yescharacteristic
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2311yescharacteristic
360C2×#125C2314yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#124C2311yescharacteristic
364C2×#124C2312yes—
365C2×#124C2311yescharacteristic
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2314yes—
369#525—216no—
370#525—216no—
371C2×#123C2312yes—
372C2×#123C2312yes—
373C2×#123C2312yes—
374C2×#123C2312yes—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×C22⋊Q8—216no—
384C2×C22⋊Q8—216no—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×#121C2312yes—
418C2×#121C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2311yescharacteristic
427C2×#120C2312yes—
428C2×#120C2312yes—
429C2×#120C2312yes—
430C2×#120C2312yes—
431#518—216no—
432C4×#41—28no—
433C4×#41—28no—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×D4—216no—
444C2×C4×D4—28no—
445C2×C4×D4D4116yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×#117C2312yes—
482C2×#117C2311yescharacteristic
483C2×#117C2311yescharacteristic
484C2×#117C2312yes—
485C2×#117C2311yescharacteristic
486C2×#117C2312yes—
487C2×#117C2311yescharacteristic
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2314yes—
491C22×C4⋊C4C2314yes—
492C22×C4⋊C4C2314yes—
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2311yescharacteristic
497C22×C4⋊C4C2314yes—
498C22×C4⋊C4C2314yes—
499C22×C4⋊C4C2311yescharacteristic
500C22×C22⋊C4C2312yes—
501C22×C22⋊C4C2314yes—
502C22×C22⋊C4C2312yes—
503C22×C22⋊C4C2312yes—
504C22×C22⋊C4C2314yes—
505C22×C22⋊C4C2314yes—
506C22×C22⋊C4C2314yes—
507C22×C22⋊C4C2314yes—
508C22×C22⋊C4C2312yes—
509C22×C42C2311yescharacteristic
510C22×C42C2311yescharacteristic
511C22×C42C2312yes—
512C22×C42C2311yescharacteristic
513#400C2314yes—
514#400C2314yes—
515#400C2314yes—
516#400C2314yes—
517#400C2314yes—
518#400C2314yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#399C2314yes—
524#399C2314yes—
525#399C2314yes—
526#399C2314yes—
527#399C2312yes—
528#399C2312yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2312yes—
534#398C2312yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2311yescharacteristic
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2314yes—
545#398C2311yescharacteristic
546#398C2312yes—
547#398C2312yes—
548#398C2311yescharacteristic
549#398C2311yescharacteristic
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2314yes—
554#398C2314yes—
555#397C2311yescharacteristic
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2312yes—
564#397C2314yes—
565#397C2312yes—
566#397C2314yes—
567#397C2312yes—
568#397C2314yes—
569#397C2314yes—
570#397C2311yescharacteristic
571#397C2312yes—
572#397C2312yes—
573#397C2311yescharacteristic
574#397C2311yescharacteristic
575#397C2314yes—
576#397C2314yes—
577#397C2314yes—
578#397C2314yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2314yes—
583#397C2314yes—
584#397C2314yes—
585#397C2314yes—
586#397C2314yes—
587#397C2314yes—
588#397C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#396C2314yes—
595#395C2314yes—
596#395C2314yes—
597#395C2314yes—
598#395C2314yes—
599#395C2314yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2311yescharacteristic
605#395C2312yes—
606#395C2314yes—
607#395C2311yescharacteristic
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2311yescharacteristic
612#395C2311yescharacteristic
613#395C2314yes—
614#395C2314yes—
615#394C2312yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#393C2314yes—
638#393C2314yes—
639#393C2311yescharacteristic
640#393C2312yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#393C2314yes—
645#393C2312yes—
646#393C2314yes—
647#393C2311yescharacteristic
648#393C2312yes—
649#393C2311yescharacteristic
650#393C2311yescharacteristic
651#393C2314yes—
652#393C2314yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2314yes—
661#391C2314yes—
662#391C2314yes—
663#391C2312yes—
664#391C2312yes—
665#391C2314yes—
666#391C2314yes—
667#390C2312yes—
668#390C2312yes—
669#390C2312yes—
670#390C2312yes—
671#390C2312yes—
672#390C2312yes—
673#390C2312yes—
674#390C2314yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2314yes—
680#389C2314yes—
681#389C2314yes—
682#389C2314yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2314yes—
688#389C2314yes—
689#389C2312yes—
690#389C2312yes—
691#389C2314yes—
692#389C2314yes—
693#389C2312yes—
694#389C2312yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#387C2312yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2312yes—
717#387C2314yes—
718#387C2312yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2312yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#385C2312yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2312yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2312yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2312yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#384C2312yes—
776#384C2312yes—
777#384C2312yes—
778#384C2314yes—
779#383C2312yes—
780#383C2312yes—
781#382C2312yes—
782#382C2312yes—
783#382C2312yes—
784#382C2311yescharacteristic
785#382C2311yescharacteristic
786#382C2312yes—
787#382C2314yes—
788#381C2314yes—
789#381C2314yes—
790#381C2314yes—
791#381C2312yes—
792#381C2312yes—
793#381C2314yes—
794#381C2314yes—
795#381C2314yes—
796#381C2314yes—
797#381C2314yes—
798#381C2311yescharacteristic
799#381C2312yes—
800#381C2311yescharacteristic
801#380C2312yes—
802#380C2312yes—
803#380C2314yes—
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2312yes—
808#380C2312yes—
809#380C2314yes—
810#380C2314yes—
811#380C2314yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#379C2314yes—
819#379C2314yes—
820#379C2314yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841#376C2311yescharacteristic
842#376C2311yescharacteristic
843#376C2312yes—
844C2×#95C2314yes—
845C2×#95C2312yes—
846C2×#95C2312yes—
847C2×#95C2314yes—
848C2×#95C2314yes—
849C2×#95C2314yes—
850C2×#95C2314yes—
851C25C2412yes—
852C25C2412yes—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—42no—
858C2×#41—42no—
859C2×#41—84no—
860C22×Q8—28no—
861C22×Q8—28no—
862C22×Q8—84no—
863C22×Q8—84no—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2414yes—
872C22×Q8C2414yes—
873C22×Q8C2412yes—
874C22×D4—28no—
875C22×D4—28no—
876C22×D4—24no—
877C22×D4—28no—
878C22×D4—44no—
879C22×D4—44no—
880C22×D4C2×D418yes—
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2411yescharacteristic
896C23×C4—28no—
897C23×C4—84no—
898C23×C4—84no—
899C23×C4C2×D4116yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2414yes—
908C23×C4C2414yes—
909C23×C4C2414yes—
910C23×C4C2414yes—
911C23×C4C2412yes—
912C23×C4C2414yes—
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2411yescharacteristic
926C4⋊Q8—24no—
927C4⋊Q8—28no—
928C4⋊Q8—28no—
929C4⋊Q8—216no—
930C4⋊Q8—24no—
931C4⋊Q8—24no—
932C4⋊Q8—24no—
933C4⋊Q8—24no—
934C4⋊Q8—44no—
935C4⋊Q8—84no—
936#127—24no—
937#126—28no—
938#126—28no—
939#126—28no—
940#126—28no—
941#125—28no—
942#125—24no—
943#125—28no—
944#125—28no—
945#125—216no—
946#125—24no—
947#125—28no—
948#125—28no—
949#124—24no—
950#124—28no—
951#124—28no—
952#124—24no—
953#124—44no—
954#124—84no—
955#123—28no—
956#123—28no—
957#123—28no—
958#123—28no—
959#123—28no—
960#123—28no—
961#123—28no—
962#123—28no—
963#123—48no—
964#123—48no—
965#123—84no—
966#123—84no—
967C22⋊Q8—24no—
968C22⋊Q8—28no—
969C22⋊Q8—24no—
970C22⋊Q8—216no—
971C22⋊Q8—216no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—216no—
977C22⋊Q8—216no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—24no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—24no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—216no—
988C22⋊Q8—216no—
989C22⋊Q8—216no—
990C22⋊Q8—216no—
991C22⋊Q8—216no—
992C22⋊Q8—216no—
993C22⋊Q8—216no—
994C22⋊Q8—216no—
995C22⋊Q8—44no—
996C22⋊Q8—44no—
997C22⋊Q8—84no—
998C22⋊Q8—84no—
999#121—28no—
1000#121—24no—
1001#121—28no—
1002#121—24no—
1003#121—28no—
1004#121—28no—
1005#121—24no—
1006#121—24no—
1007#121—28no—
1008#121—28no—
1009#120—28no—
1010#120—28no—
1011#120—28no—
1012#120—28no—
1013C4×Q8—24no—
1014C4×Q8—24no—
1015C4×Q8—24no—
1016C4×Q8—24no—
1017C4×Q8—28no—
1018C4×Q8—24no—
1019C4×Q8—24no—
1020C4×Q8—28no—
1021C4×Q8—28no—
1022C4×D4—24no—
1023C4×D4—24no—
1024C4×D4—216no—
1025C4×D4—28no—
1026C4×D4—28no—
1027C4×D4—216no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—24no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—24no—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4C2×D418yes—
1052C4×D4C2×D4116yes—
1053C4×D4C2×D418yes—
1054C4×D4C2×D418yes—
1055C4×D4C2×D4116yes—
1056C4×D4C2×D418yes—
1057#117—24no—
1058#117—28no—
1059#117—28no—
1060#117—28no—
1061#117—24no—
1062#117—28no—
1063#117—24no—
1064#117—24no—
1065#117—28no—
1066#117—84no—
1067C2×C4⋊C4—28no—
1068C2×C4⋊C4—216no—
1069C2×C4⋊C4—216no—
1070C2×C4⋊C4—28no—
1071C2×C4⋊C4—28no—
1072C2×C4⋊C4—24no—
1073C2×C4⋊C4—48no—
1074C2×C4⋊C4—84no—
1075C2×C4⋊C4C2×D418yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
1144C2×C22⋊C4—28no—
1145C2×C22⋊C4—216no—
1146C2×C22⋊C4—216no—
1147C2×C22⋊C4—28no—
1148C2×C22⋊C4—28no—
1149C2×C22⋊C4—48no—
1150C2×C22⋊C4—84no—
1151C2×C22⋊C4—84no—
1152C2×C22⋊C4C2×D4116yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C42—28no—
1215C2×C42—24no—
1216C2×C42—24no—
1217C2×C42C2×D418yes—
1218C2×C42C2411yescharacteristic
1219C2×C42C2412yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2412yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2414yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230C2×C42C2412yes—
1231C2×C42C2412yes—
1232C2×C42C2414yes—
1233C2×C42C2414yes—
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2411yescharacteristic
1267#95C2411yescharacteristic
1268#95C2412yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299C24—28no—
1300C24—24no—
1301C24—24no—
1302C24—28no—
1303C24—44no—
1304C24—44no—
1305C24—42no—
1306C24—42no—
1307C24—42no—
1308C24C22×D418yes—
1309C24C2512yes—
1310C24C2511yescharacteristic
1311C24C2511yescharacteristic
1312C24C2512yes—
1313C24C2511yescharacteristic
1314C24C2512yes—
1315#41—416no—
1316#41—416no—
1317#41—816no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—24no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×Q8—24no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—28no—
1327C2×Q8—28no—
1328C2×Q8—24no—
1329C2×Q8—22no—
1330C2×Q8—42no—
1331C2×Q8—44no—
1332C2×Q8—42no—
1333C2×Q8—41no—
1334C2×Q8—42no—
1335C2×Q8—42no—
1336C2×Q8—44no—
1337C2×Q8—44no—
1338C2×Q8—42no—
1339C2×Q8—44no—
1340C2×Q8—42no—
1341C2×Q8—44no—
1342C2×Q8—44no—
1343C2×Q8—816no—
1344C2×Q8—816no—
1345C2×D4—22no—
1346C2×D4—28no—
1347C2×D4—22no—
1348C2×D4—232no—
1349C2×D4—22no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—28no—
1356C2×D4—28no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—432no—
1379C2×D4—416no—
1380C2×D4C22×D418yes—
1381C2×D4C22×D414yes—
1382C2×D4C22×D414yes—
1383C2×D42−1+418yes—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—28no—
1388C22×C4—22no—
1389C22×C4—28no—
1390C22×C4—28no—
1391C22×C4—24no—
1392C22×C4—28no—
1393C22×C4—28no—
1394C22×C4—28no—
1395C22×C4—28no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—42no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—42no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—816no—
1439C22×C4—816no—
1440C22×C4C22×D414yes—
1441C22×C4C22×D418yes—
1442C22×C4C22×D414yes—
1443C22×C4C22×D414yes—
1444C22×C4C22×D418yes—
1445C22×C4C22×D418yes—
1446C22×C4C22×D418yes—
1447C22×C4C22×D418yes—
1448C22×C4C2511yescharacteristic
1449C22×C4C2512yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2512yes—
1452C22×C4C2512yes—
1453C22×C4C2514yes—
1454C22×C4C2514yes—
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2511yescharacteristic
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2512yes—
1462C22×C4C2514yes—
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2514yes—
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2511yescharacteristic
1476C22×C4C2511yescharacteristic
1477C4⋊C4—22no—
1478C4⋊C4—24no—
1479C4⋊C4—28no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—24no—
1485C4⋊C4—22no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—28no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—28no—
1493C4⋊C4—28no—
1494C4⋊C4—28no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—28no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—28no—
1520C4⋊C4—24no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—42no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—42no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—42no—
1542C4⋊C4C22×D414yes—
1543C4⋊C4C22×D414yes—
1544C4⋊C4C22×D418yes—
1545C22⋊C4—22no—
1546C22⋊C4—24no—
1547C22⋊C4—28no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—28no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—28no—
1557C22⋊C4—22no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—28no—
1562C22⋊C4—28no—
1563C22⋊C4—24no—
1564C22⋊C4—28no—
1565C22⋊C4—24no—
1566C22⋊C4—22no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—22no—
1573C22⋊C4—24no—
1574C22⋊C4—22no—
1575C22⋊C4—22no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4C22×D418yes—
1603C22⋊C4C22×D418yes—
1604C22⋊C4C22×D418yes—
1605C22⋊C4C22×D418yes—
1606C42—22no—
1607C42—22no—
1608C42—24no—
1609C42—22no—
1610C42—24no—
1611C42—22no—
1612C42—24no—
1613C42—22no—
1614C42—22no—
1615C42—28no—
1616C42—24no—
1617C42—24no—
1618C42—24no—
1619C42—24no—
1620C42—44no—
1621C42—44no—
1622C42—42no—
1623C42—42no—
1624C42C22×D414yes—
1625C42C22×D414yes—
1626C42C22×D414yes—
1627C42C22×D414yes—
1628C23—22no—
1629C23—22no—
1630C23—24no—
1631C23—21no—
1632C23—22no—
1633C23—22no—
1634C23—24no—
1635C23—22no—
1636C23—22no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—22no—
1641C23—22no—
1642C23—24no—
1643C23—216no—
1644C23—22no—
1645C23—21no—
1646C23—22no—
1647C23—24no—
1648C23—21no—
1649C23—21no—
1650C23—22no—
1651C23—22no—
1652C23—24no—
1653C23—22no—
1654C23—48no—
1655C23—48no—
1656C23—48no—
1657C23—416no—
1658C23—48no—
1659C23—84no—
1660C23—88no—
1661C23—88no—
1662C23—88no—
1663C23C23×D412yes—
1664C23C23×D414yes—
1665C23C23×D414yes—
1666C23C2×2−1+418yes—
1667C23#58512yes—
1668C23C2611yescharacteristic
1669Q8—44no—
1670Q8—44no—
1671Q8—48no—
1672Q8—44no—
1673Q8—44no—
1674Q8—84no—
1675Q8—84no—
1676Q8—88no—
1677Q8—88no—
1678Q8—84no—
1679D4—28no—
1680D4—216no—
1681D4—28no—
1682D4—48no—
1683D4—44no—
1684D4—48no—
1685D4—48no—
1686D4—44no—
1687D4—48no—
1688D4—48no—
1689D4—44no—
1690D4—84no—
1691D4—84no—
1692D4—84no—
1693D4#536116yes—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—24no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—28no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—24no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—24no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—24no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—24no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—24no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—24no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—22no—
1757C2×C4—24no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—44no—
1761C2×C4—48no—
1762C2×C4—48no—
1763C2×C4—48no—
1764C2×C4—48no—
1765C2×C4—48no—
1766C2×C4—44no—
1767C2×C4—44no—
1768C2×C4—48no—
1769C2×C4—44no—
1770C2×C4—44no—
1771C2×C4—48no—
1772C2×C4—44no—
1773C2×C4—48no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—84no—
1777C2×C4—84no—
1778C2×C4—88no—
1779C2×C4—88no—
1780C2×C4—88no—
1781C2×C4—88no—
1782C2×C4—84no—
1783C2×C4—88no—
1784C2×C4—88no—
1785C2×C4C23×D412yes—
1786C2×C4C23×D412yes—
1787C2×C4C23×D412yes—
1788C2×C4C23×D414yes—
1789C2×C4C23×D412yes—
1790C2×C4C23×D412yes—
1791C2×C4C23×D414yes—
1792C2×C4C23×D412yes—
1793C2×C4C2×2−1+414yes—
1794C2×C4#58512yes—
1795C22—24no—
1796C22—24no—
1797C22—28no—
1798C22—28no—
1799C22—22no—
1800C22—22no—
1801C22—24no—
1802C22—22no—
1803C22—24no—
1804C22—22no—
1805C22—24no—
1806C22—24no—
1807C22—41no—
1808C22—41no—
1809C22—44no—
1810C22—42no—
1811C22—44no—
1812C22—42no—
1813C22—42no—
1814C22—41no—
1815C22—42no—
1816C22—42no—
1817C22—41no—
1818C22—41no—
1819C22—42no—
1820C22—42no—
1821C22—44no—
1822C22—42no—
1823C22—44no—
1824C22—816no—
1825C22—816no—
1826C22C2×#53618yes—
1827C22C24×D411yescharacteristic
1828C22C22×2−1+412yes—
1829C22C2×#58511yescharacteristic
1830C22C2×#58511yescharacteristic
1831C22H(7,𝔽2)12yes—
1832C4—22no—
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—24no—
1838C4—24no—
1839C4—22no—
1840C4—42no—
1841C4—41no—
1842C4—42no—
1843C4—44no—
1844C4—42no—
1845C4—41no—
1846C4—42no—
1847C4—41no—
1848C4—42no—
1849C4—44no—
1850C4—42no—
1851C4—41no—
1852C4—41no—
1853C4—42no—
1854C4—42no—
1855C4—44no—
1856C4—42no—
1857C4—42no—
1858C4—44no—
1859C4—42no—
1860C4C2×#53614yes—
1861C2—28no—
1862C2—44no—
1863C2—42no—
1864C2—42no—
1865C2—81no—
1866C2—82no—
1867C2C22×#53611yescharacteristic
1868C2#6281111yescharacteristic
1869C2#6284211yescharacteristic
1870C2#6294812yes—
1871C2#6295112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3481C2
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×#3501C2semidirect
3. #42682C2semidirect
4. #42678C2semidirect
5. #42485C2semidirect
6. #42481C2semidirect
7. #42437C2semidirect
8. #42436C2semidirect
9. #41412C2semidirect
10. #41408C2semidirect
11. #40595C2semidirect
12. #40591C2semidirect
13. #40511C2semidirect
14. #40487C2semidirect
15. #39880C2semidirect
16. #39877C2semidirect
17. #38363C2semidirect
18. #38359C2semidirect
19. #37551C2semidirect
20. #37545C2semidirect
21. #37449C2semidirect
22. #37447C2semidirect
23. #36219C2semidirect
24. #36215C2semidirect
25. #35950C2semidirect
26. #35939C2semidirect
27. #35928C2semidirect
28. #35847C2semidirect
29. #35791C2semidirect
30. #35713C2semidirect
31. #35200C2semidirect
32. #35084C2semidirect
33. #34627C2semidirect
34. C2×#2638C2semidirect
35. #34190C2semidirect
43. C2×#554C22semidirect
44. C2×#554C22semidirect
45. C2×#554C22semidirect
46. C2×#554C22semidirect
53. C2×D4×Q8C22semidirect
54. C2×D4×Q8C22semidirect
59. C2×#544C22semidirect
60. C2×#543C22semidirect
61. C2×#533C22semidirect
62. C2×#533C22semidirect
69. C22×C22⋊Q8C22semidirect
70. C22×C22⋊Q8C22semidirect
77. #2855C22semidirect
78. #2851C22semidirect
79. #2851C22semidirect
80. #2848C22semidirect
81. #2821C22semidirect
82. #2821C22semidirect
83. #2817C22semidirect
84. #2816C22semidirect
85. #2814C22semidirect
86. #2814C22semidirect
87. #2814C22semidirect
88. #2814C22semidirect
89. #2814C22semidirect
90. #2721C22semidirect
91. #2719C22semidirect
92. #2716C22semidirect
93. #2713C22semidirect
94. #2700C22semidirect
95. #2700C22semidirect
96. #2698C22semidirect
97. #2698C22semidirect
98. #2694C22semidirect
99. #2690C22semidirect
100. #2689C22semidirect
101. #2689C22semidirect
102. #2687C22semidirect
103. #2687C22semidirect
104. #2681C22semidirect
105. #2681C22semidirect
106. #2680C22semidirect
107. #2680C22semidirect
108. #2677C22semidirect
109. #2674C22semidirect
110. #2674C22semidirect
111. #2674C22semidirect
112. #2672C22semidirect
113. #2672C22semidirect
114. #2663C22semidirect
115. #2660C22semidirect
116. #2660C22semidirect
117. #2659C22semidirect
118. #2659C22semidirect
119. #2640C22semidirect
120. #2640C22semidirect
121. #2639C22semidirect
122. #2639C22semidirect
127. #2638C22semidirect
128. #2638C22semidirect
129. #2638C22semidirect
130. #2638C22semidirect
131. #2638C22semidirect
132. #2638C22semidirect
133. #2638C22semidirect
134. #2638C22semidirect
135. #2638C22semidirect
136. #2638C22semidirect
137. #2638C22semidirect
138. #2638C22semidirect
139. #2638C22semidirect
140. #2638C22semidirect
141. #2637C22semidirect
142. #2637C22semidirect
143. #2634C22semidirect
144. #2633C22semidirect
145. #2628C22semidirect
146. #2628C22semidirect
147. #2625C22semidirect
148. #2625C22semidirect
150. #2623C22semidirect
151. #2623C22semidirect
153. #2622C22semidirect
154. #2621C22semidirect
155. #2621C22semidirect
156. #2621C22semidirect
157. #2620C22semidirect
159. #2614C22semidirect
160. #2614C22semidirect
161. #2611C22semidirect
162. #2599C22semidirect
163. #2599C22semidirect
164. #2599C22semidirect
165. #2592C22semidirect
166. #2592C22semidirect
167. #2584C22semidirect
168. #2584C22semidirect
169. #2583C22semidirect
170. #2583C22semidirect
171. #2581C22semidirect
172. #2580C22semidirect
173. #2579C22semidirect
174. #2579C22semidirect
175. #2567C22semidirect
176. #2566C22semidirect
177. #2565C22semidirect
178. #2564C22semidirect
179. #2564C22semidirect
180. #2563C22semidirect
181. #2561C22semidirect
182. #2561C22semidirect
183. #2552C22semidirect
184. #2551C22semidirect
185. #2550C22semidirect
186. #2550C22semidirect
187. #2549C22semidirect
188. #2549C22semidirect
189. #2547C22semidirect
190. #2546C22semidirect
191. #2504C22semidirect
192. #2502C22semidirect
194. #2499C22semidirect
195. #2499C22semidirect
196. #2499C22semidirect
197. #2492C22semidirect
198. #2491C22semidirect
199. #2490C22semidirect
200. #2489C22semidirect
201. #2488C22semidirect
202. #2488C22semidirect
203. #2486C22semidirect
204. #2486C22semidirect
206. #2485C22semidirect
207. #2484C22semidirect
208. #2483C22semidirect
209. #2472C22semidirect
210. #2472C22semidirect
211. #2454C22semidirect
212. #2453C22semidirect
213. #2452C22semidirect
214. #2451C22semidirect
215. #2450C22semidirect
216. #2450C22semidirect
217. #2449C22semidirect
218. #2449C22semidirect
219. #2447C22semidirect
220. #2447C22semidirect
224. #2444C22semidirect
226. #2443C22semidirect
227. #2442C22semidirect
228. #2441C22semidirect
229. #2440C22semidirect
230. #2440C22semidirect
231. #2440C22semidirect
232. #2439C22semidirect
233. #2438C22semidirect
234. #2438C22semidirect
235. #2437C22semidirect
236. #2437C22semidirect
237. #2436C22semidirect
238. #2434C22semidirect
240. #2432C22semidirect
242. #2422C22semidirect
244. #2420C22semidirect
245. #2419C22semidirect
246. #2419C22semidirect
250. #2415C22semidirect
252. #2412C22semidirect
253. #2409C22semidirect
254. #2409C22semidirect
255. #2406C22semidirect
257. #2399C22semidirect
258. #2399C22semidirect
259. #2398C22semidirect
260. #2398C22semidirect
262. #2395C22semidirect
263. C2×#398C22semidirect
264. C2×#397C22semidirect
265. C2×#397C22semidirect
266. C2×#395C22semidirect
268. C2×#393C22semidirect
269. #2357C22semidirect
270. #2353C22semidirect
276. #2344C22semidirect
277. #2342C22semidirect
283. #2327C22semidirect
284. #2326C22semidirect
285. #2322C22semidirect
286. #2322C22semidirect
287. #2319C22semidirect
288. #2319C22semidirect
289. #2318C22semidirect
290. #2318C22semidirect
291. C4×C22⋊Q8C22semidirect
292. C4×C22⋊Q8C22semidirect
293. C2×#387C22semidirect
294. C2×#385C22semidirect
295. #2283C22semidirect
296. #2283C22semidirect
297. #2280C22semidirect
298. C2×#381C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35012
C2×#34812
#426822
#426782
#424852
#424812
#424372
#424362
#414122
#414082
#405952
#405912
#405112
#404872
#398802
#398772
#383632
#383592
#375512
#375452
#374492
#374472
#362192
#362152
#359502
#359392
#359282
#358472
#357912
#357132
#352002
#350842
#346272
C2×#26382
#341902