Finite Group Databasebeta

← #7657190

Subgroups — #7657190

Order 512.

6622 conjugacy classes of subgroups.

The subgroup lattice has 1876 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3495C211yesmaximal, characteristic, complemented
2C22×#552C211yesmaximal, characteristic, complemented
3#42316C212yesmaximal, complemented
4#42309C212yesmaximal, complemented
5#42305C212yesmaximal, complemented
6#42297C212yesmaximal, complemented
7#42179C214yesmaximal, complemented
8#42176C214yesmaximal, complemented
9#42167C214yesmaximal, complemented
10#42157C212yesmaximal, complemented
11#42150C212yesmaximal, complemented
12#39589C212yesmaximal, complemented
13#39117C212yesmaximal, complemented
14#38045C212yesmaximal, complemented
15#38039C212yesmaximal, complemented
16#37841C212yesmaximal, complemented
17#37835C212yesmaximal, complemented
18#37549C211yesmaximal, characteristic, complemented
19#37548C211yesmaximal, characteristic, complemented
20#37540C211yesmaximal, characteristic, complemented
21#37538C211yesmaximal, characteristic, complemented
22#37452C211yesmaximal, characteristic
23#37441C211yesmaximal, characteristic, complemented
24#36341C212yesmaximal, complemented
25#36159C212yesmaximal, complemented
26#36086C212yesmaximal, complemented
27#36070C212yesmaximal, complemented
28#36024C214yesmaximal, complemented
29#35179C211yesmaximal, characteristic, complemented
30#35118C211yesmaximal, characteristic, complemented
31#35057C211yesmaximal, characteristic, complemented
32#34634C211yesmaximal, characteristic, complemented
33#34602C211yesmaximal, characteristic, complemented
34C2×#2627C211yesmaximal, characteristic, complemented
35#34180C211yesmaximal, characteristic, complemented
36#3495—216no—
37C2×#556C2212yescomplemented
38C2×#554C2212yes—
39C2×#552—216no—
40C2×#552C2212yes—
41C2×#552C2212yes—
42C2×#552C2212yes—
43C2×#552C2212yes—
44C2×#552C2212yes—
45C2×#552C2212yes—
46C2×#552C2212yes—
47C2×#552C2212yes—
48C2×#552C2212yes—
49C2×#552C2212yescomplemented
50C2×#552C2212yescomplemented
51C2×#552C2212yescomplemented
52C2×#551C2212yes—
53C2×#551C2212yes—
54C2×#544C2211yescharacteristic, complemented
55C2×#542C2211yescharacteristic, complemented
56C2×#542C2211yescharacteristic, complemented
57C2×#541C2211yescharacteristic, complemented
58C2×#541C2211yescharacteristic, complemented
59C2×#536C2211yescharacteristic, complemented
60C2×#533C2211yescharacteristic
61C2×#533C2211yescharacteristic
62C2×#529C2211yescharacteristic
63C2×#529C2211yescharacteristic
64C22×#126C2211yescharacteristic
65C22×#126C2211yescharacteristic
66C22×#125C2211yescharacteristic
67C22×#125C2211yescharacteristic
68C22×#125C2211yescharacteristic
69C2×#525C2211yescharacteristic
70C22×#123C2211yescharacteristic
71C22×#123C2211yescharacteristic
72C22×C22⋊Q8C2211yescharacteristic
73C22×C22⋊Q8C2211yescharacteristic
74C22×C22⋊Q8C2211yescharacteristic
75C2×#520C2211yescharacteristic, complemented
76C2×#519C2211yescharacteristic, complemented
77C22×C4×Q8C2211yescharacteristic
78C22×C4×D4C2211yescharacteristic
79C22×#117C2211yescharacteristic
80C22×#117C2211yescharacteristic
81C22×#117C2211yescharacteristic
82C23×C4⋊C4C2211yescharacteristic
83#2855C2212yes—
84#2855C2212yes—
85#2853C2212yes—
86#2849C2212yes—
87#2849C2212yes—
88#2849C2212yes—
89#2823C2214yescomplemented
90#2822C2212yescomplemented
91#2822C2214yescomplemented
92#2821C2212yescomplemented
93#2821C2212yescomplemented
94#2820C2212yescomplemented
95#2814C2214yes—
96#2814C2212yes—
97#2813C2212yes—
98#2726C2214yescomplemented
99#2726C2214yescomplemented
100#2725C2214yescomplemented
101#2725C2214yescomplemented
102#2723C2214yescomplemented
103#2720C2214yescomplemented
104#2720C2214yescomplemented
105#2719C2214yescomplemented
106#2718C2214yes—
107#2718C2214yes—
108#2716C2214yescomplemented
109#2713C2214yescomplemented
110#2710C2214yes—
111#2706C2214yes—
112#2704C2214yescomplemented
113#2704C2214yescomplemented
114#2702C2214yescomplemented
115#2702C2214yescomplemented
116#2700C2214yescomplemented
117#2698C2214yescomplemented
118#2692C2214yescomplemented
119#2690C2214yescomplemented
120#2689C2214yescomplemented
121#2687C2214yescomplemented
122#2664C2212yescomplemented
123#2664C2214yescomplemented
124#2664C2214yescomplemented
125#2663C2212yes—
126#2663C2212yes—
127#2662C2212yescomplemented
128#2660C2212yescomplemented
129#2642C2212yescomplemented
130#2637C2214yescomplemented
131#2637C2212yescomplemented
132#2637C2214yescomplemented
133#2636C2212yescomplemented
134#2634C2212yescomplemented
135#2634C2212yescomplemented
136#2634C2212yescomplemented
137#2632C2212yescomplemented
138#2630C2214yes—
139#2629C2214yescomplemented
140#2629C2214yescomplemented
141#2628C2212yescomplemented
142#2628C2212yescomplemented
143#2627C2211yescharacteristic
144#2627C2211yescharacteristic
145#2627C2211yescharacteristic
146#2627C2211yescharacteristic
147#2627C2211yescharacteristic
148#2627C2212yes—
149#2627C2211yescharacteristic
150#2627C2212yes—
151#2627C2211yescharacteristic
152#2627C2211yescharacteristic
153#2627C2212yes—
154#2627C2211yescharacteristic
155#2627C2212yescomplemented
156#2627C2212yescomplemented
157#2627C2214yescomplemented
158#2626C2211yescharacteristic
159#2626C2211yescharacteristic
160#2626C2211yescharacteristic
161#2626C2212yes—
162#2623C2212yes—
163#2623C2212yes—
164#2618C2211yescharacteristic
165#2618C2211yescharacteristic
166#2618C2214yes—
167#2618C2211yescharacteristic
168#2617C2211yescharacteristic
169#2614C2212yes—
170#2614C2212yes—
171#2611C2212yescomplemented
172#2610C2212yescomplemented
173#2609C2214yescomplemented
174#2604C2212yescomplemented
175#2604C2212yescomplemented
176#2601C2214yescomplemented
177#2601C2214yescomplemented
178#2599C2212yescomplemented
179#2598C2212yescomplemented
180#2591C2212yescomplemented
181#2584C2212yescomplemented
182#2583C2212yes—
183#2583C2212yes—
184#2583C2212yescomplemented
185#2582C2214yescomplemented
186#2581C2212yescomplemented
187#2581C2212yescomplemented
188#2579C2212yes—
189#2579C2212yes—
190#2579C2214yescomplemented
191#2568C2212yescomplemented
192#2567C2212yescomplemented
193#2565C2214yescomplemented
194#2565C2214yescomplemented
195#2562C2212yescomplemented
196#2561C2212yes—
197#2561C2212yes—
198#2560C2214yescomplemented
199#2560C2214yescomplemented
200#2556C2214yescomplemented
201#2556C2214yescomplemented
202#2549C2214yescomplemented
203#2534C2212yes—
204#2534C2212yes—
205#2519C2214yescomplemented
206#2519C2214yescomplemented
207#2506C2214yescomplemented
208#2506C2214yescomplemented
209#2503C2212yes—
210#2502C2212yes—
211#2501C2214yes—
212#2498C2212yes—
213#2488C2214yes—
214#2488C2214yescomplemented
215#2487C2212yes—
216#2486C2212yes—
217#2484C2212yes—
218#2484C2212yes—
219#2484C2212yes—
220#2484C2212yescomplemented
221#2483C2212yes—
222#2482C2212yes—
223#2481C2214yescomplemented
224#2478C2214yescomplemented
225#2478C2214yescomplemented
226#2477C2214yescomplemented
227#2475C2214yescomplemented
228#2474C2214yescomplemented
229#2473C2214yescomplemented
230#2470C2214yescomplemented
231#2469C2214yescomplemented
232#2468C2214yes—
233#2466C2214yes—
234#2465C2214yescomplemented
235#2462C2214yescomplemented
236#2462C2214yescomplemented
237#2459C2214yes—
238#2457C2214yes—
239#2450C2214yes—
240#2450C2214yescomplemented
241#2438C2214yescomplemented
242#2438C2214yescomplemented
243#2430C2212yes—
244#2425C2214yes—
245#2425C2214yes—
246#2413C2212yes—
247#2413C2214yes—
248#2413C2214yes—
249#2413C2212yes—
250#2413C2212yes—
251#2413C2214yescomplemented
252#2413C2214yescomplemented
253#2412C2212yes—
254#2411C2212yes—
255#2410C2212yes—
256#2406C2212yescomplemented
257#2405C2212yes—
258#2399C2212yescomplemented
259#2398C2212yescomplemented
260#2396C2214yescomplemented
261#2396C2212yescomplemented
262#2396C2212yescomplemented
263#2396C2214yescomplemented
264C2×#400C2212yescomplemented
265C2×#398C2214yescomplemented
266C2×#395C2212yescomplemented
267#2364C2214yes—
268#2359C2214yes—
269#2359C2214yescomplemented
270#2347C2212yescomplemented
271#2346C2212yescomplemented
272#2345C2212yes—
273#2344C2212yes—
274#2344C2214yescomplemented
275#2343C2212yescomplemented
276#2343C2212yescomplemented
277#2342C2212yes—
278#2342C2212yes—
279#2322C2212yes—
280#2322C2212yes—
281#2322C2212yes—
282#2321C2212yes—
283#2317C2212yes—
284#2317C2212yescomplemented
285#2314C2212yescomplemented
286#2314C2212yescomplemented
287#2310C2212yes—
288C4×#123C2212yes—
289C4×#123C2212yes—
290#2296C2212yes—
291C2×#385C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2283C2211yescharacteristic
295#2283C2211yescharacteristic
296#2280C2212yes—
297#2280C2211yescharacteristic
298C2×#381C2212yes—
299C2×#380C2211yescharacteristic
300#2274C2212yescomplemented
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304C23×D4C2311yescharacteristic
305C24×C4C2311yescharacteristic
306C24×C4C2311yescharacteristic
307C24×C4C2311yescharacteristic
308C24×C4C2311yescharacteristic
309#556—216no—
310#554—216no—
311#552—216no—
312#552—216no—
313#552—216no—
314#552—216no—
315#552—216no—
316#552—216no—
317#552—216no—
318#552—216no—
319#552—216no—
320#552—216no—
321#552—216no—
322#552—216no—
323#551—216no—
324#551—216no—
325#544—28no—
326#542—28no—
327#542—28no—
328#541—28no—
329#541—28no—
330#536—28no—
331#533—28no—
332#533—28no—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338#529—28no—
339#529—28no—
340C2×#126—28no—
341C2×#126—28no—
342C2×#126C2312yes—
343C2×#126C2312yes—
344C2×#126C2312yes—
345C2×#126C2312yes—
346C2×#126C2312yes—
347C2×#126C2312yes—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#125—28no—
359C2×#125—28no—
360C2×#125—28no—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2311yescharacteristic
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#125C2311yescharacteristic
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#125C2312yes—
374C2×#125C2312yes—
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#125C2312yes—
379C2×#125C2312yes—
380C2×#125C2312yes—
381C2×#125C2312yes—
382C2×#124C2311yescharacteristic
383C2×#124C2311yescharacteristic
384C2×#124C2312yes—
385C2×#124C2312yes—
386#525—28no—
387C2×#123—28no—
388C2×#123—28no—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2314yes—
407C2×#123C2314yes—
408C2×#123C2312yes—
409C2×C22⋊Q8—28no—
410C2×C22⋊Q8—28no—
411C2×C22⋊Q8—28no—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2311yescharacteristic
438C2×#121C2314yes—
439C2×#120C2312yes—
440C2×#120C2312yes—
441#520—28no—
442#519—28no—
443C2×C4×Q8—28no—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×D4—28no—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×#117—28no—
472C2×#117—28no—
473C2×#117D4116yescomplemented
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2311yescharacteristic
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2311yescharacteristic
494C2×#117C2311yescharacteristic
495C2×#117C2311yescharacteristic
496C2×#117C2311yescharacteristic
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2311yescharacteristic
500C2×#117C2311yescharacteristic
501C22×C4⋊C4—28no—
502C22×C4⋊C4C2311yescharacteristic
503C22×C4⋊C4C2311yescharacteristic
504C22×C4⋊C4C2311yescharacteristic
505C22×C4⋊C4C2311yescharacteristic
506C22×C4⋊C4C2311yescharacteristic
507C22×C4⋊C4C2311yescharacteristic
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2311yescharacteristic
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2311yescharacteristic
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2311yescharacteristic
518C22×C4⋊C4C2311yescharacteristic
519C22×C4⋊C4C2312yes—
520C22×C4⋊C4C2311yescharacteristic
521C22×C4⋊C4C2311yescharacteristic
522C22×C4⋊C4C2311yescharacteristic
523C22×C4⋊C4C2312yes—
524C22×C4⋊C4C2314yes—
525C22×C4⋊C4C2311yescharacteristic
526C22×C4⋊C4C2311yescharacteristic
527C22×C22⋊C4C2311yescharacteristic
528C22×C22⋊C4C2311yescharacteristic
529C22×C22⋊C4C2311yescharacteristic
530C22×C22⋊C4C2311yescharacteristic
531C22×C22⋊C4C2311yescharacteristic
532C22×C22⋊C4C2312yes—
533C22×C22⋊C4C2311yescharacteristic
534C22×C22⋊C4C2312yes—
535C22×C22⋊C4C2311yescharacteristic
536C22×C22⋊C4C2311yescharacteristic
537C22×C42C2311yescharacteristic
538C22×C42C2311yescharacteristic
539C22×C42C2311yescharacteristic
540C22×C42C2311yescharacteristic
541C22×C42C2311yescharacteristic
542#400C2312yes—
543#400C2312yes—
544#400C2312yes—
545#400C2314yes—
546#400C2314yes—
547#400C2314yes—
548#400C2314yes—
549#400C2314yes—
550#400C2314yes—
551#400C2312yes—
552#400C2312yes—
553#400C2312yes—
554#400C2312yes—
555#400C2314yes—
556#400C2312yes—
557#400C2312yes—
558#400C2314yes—
559#400C2314yes—
560#400C2314yes—
561#399C2314yes—
562#399C2312yes—
563#399C2312yes—
564#399C2314yes—
565#399C2312yes—
566#399C2314yes—
567#399C2314yes—
568#398C2314yes—
569#398C2314yes—
570#398C2314yes—
571#398C2314yes—
572#398C2314yes—
573#398C2314yes—
574#398C2314yes—
575#398C2314yes—
576#398C2314yes—
577#398C2314yes—
578#398C2314yes—
579#398C2312yes—
580#398C2312yes—
581#398C2314yes—
582#398C2314yes—
583#398C2314yes—
584#398C2314yes—
585#398C2314yes—
586#398C2314yes—
587#398C2314yes—
588#398C2314yes—
589#398C2314yes—
590#398C2314yes—
591#398C2314yes—
592#398C2312yes—
593#398C2314yes—
594#398C2314yes—
595#398C2314yes—
596#398C2314yes—
597#398C2314yes—
598#398C2314yes—
599#398C2314yes—
600#397C2314yes—
601#397C2314yes—
602#397C2314yes—
603#397C2314yes—
604#397C2312yes—
605#397C2314yes—
606#397C2314yes—
607#397C2314yes—
608#397C2314yes—
609#396C2314yes—
610#396C2314yes—
611#396C2314yes—
612#396C2314yes—
613#396C2314yes—
614#396C2314yes—
615#396C2314yes—
616#396C2314yes—
617#396C2314yes—
618#396C2314yes—
619#396C2314yes—
620#396C2314yes—
621#396C2314yes—
622#396C2314yes—
623#396C2314yes—
624#396C2314yes—
625#395C2312yes—
626#395C2312yes—
627#395C2314yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2314yes—
633#395C2312yes—
634#395C2314yes—
635#395C2314yes—
636#395C2312yes—
637#395C2312yes—
638#395C2314yes—
639#395C2314yes—
640#395C2314yes—
641#394C2314yes—
642#394C2312yes—
643#394C2312yes—
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2312yes—
648#394C2314yes—
649#394C2314yes—
650#394C2314yes—
651#394C2314yes—
652#393C2314yes—
653#393C2314yes—
654#393C2314yes—
655#393C2314yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2314yes—
660#392C2312yes—
661#392C2314yes—
662#391C2314yes—
663#391C2314yes—
664#391C2314yes—
665#391C2314yes—
666#391C2314yes—
667#391C2314yes—
668#391C2314yes—
669#391C2314yes—
670#390C2314yes—
671#390C2314yes—
672#389C2314yes—
673#389C2314yes—
674#389C2314yes—
675#389C2314yes—
676#389C2314yes—
677#389C2314yes—
678#389C2314yes—
679#389C2314yes—
680#389C2314yes—
681#389C2314yes—
682#389C2314yes—
683#389C2314yes—
684#389C2314yes—
685#389C2314yes—
686#389C2314yes—
687#389C2314yes—
688#389C2314yes—
689#389C2314yes—
690#389C2314yes—
691#389C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2312yes—
743#386C2314yes—
744#386C2312yes—
745#386C2312yes—
746#386C2312yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#385C2312yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2312yes—
764#385C2312yes—
765#385C2314yes—
766#385C2312yes—
767#385C2312yes—
768#385C2314yes—
769#385C2312yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2312yes—
774#385C2312yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2312yes—
780#385C2314yes—
781#385C2314yes—
782#384C2314yes—
783#384C2314yes—
784#384C2312yes—
785#384C2312yes—
786#383C2312yes—
787#383C2312yes—
788#382C2312yes—
789#382C2314yes—
790#382C2314yes—
791#382C2312yes—
792#382C2312yes—
793#382C2312yes—
794#381C2312yes—
795#381C2312yes—
796#381C2312yes—
797#381C2312yes—
798#381C2312yes—
799#381C2312yes—
800#381C2312yes—
801#381C2312yes—
802#381C2314yes—
803#381C2312yes—
804#381C2312yes—
805#381C2314yes—
806#381C2312yes—
807#381C2312yes—
808#381C2314yes—
809#381C2314yes—
810#380C2314yes—
811#380C2314yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2314yes—
818#380C2312yes—
819#380C2311yescharacteristic
820#380C2311yescharacteristic
821#380C2311yescharacteristic
822#380C2311yescharacteristic
823#380C2314yes—
824#380C2314yes—
825#379C2312yes—
826#379C2312yes—
827#379C2312yes—
828#379C2312yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2314yes—
838C4×C4⋊C4C2314yes—
839C4×C4⋊C4C2314yes—
840C4×C4⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2314yes—
851#376C2312yes—
852#376C2312yes—
853C2×#95C2312yes—
854C2×#95C2314yes—
855C2×#95C2314yes—
856C2×#95C2314yes—
857C25C2411yescharacteristic
858C25C2411yescharacteristic
859C2×#41—24no—
860C2×#41—44no—
861C22×Q8—24no—
862C22×Q8—24no—
863C22×Q8—24no—
864C22×Q8—42no—
865C22×Q8—44no—
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×Q8C2412yes—
874C22×D4—24no—
875C22×D4—44no—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2414yes—
883C23×C4—24no—
884C23×C4—24no—
885C23×C4—24no—
886C23×C4—24no—
887C23×C4—24no—
888C23×C4—44no—
889C23×C4—42no—
890C23×C4—42no—
891C23×C4—44no—
892C23×C4C2×D418yes—
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2414yes—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C4⋊Q8—28no—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8—24no—
926C4⋊Q8—24no—
927#126—28no—
928#126—28no—
929#126—28no—
930#126—28no—
931#126—28no—
932#126—28no—
933#126—28no—
934#126—28no—
935#126—28no—
936#126—28no—
937#126—28no—
938#126—28no—
939#126—28no—
940#126—28no—
941#126—28no—
942#126—28no—
943#125—28no—
944#125—28no—
945#125—28no—
946#125—28no—
947#125—28no—
948#125—28no—
949#125—28no—
950#125—28no—
951#125—28no—
952#125—28no—
953#125—28no—
954#125—28no—
955#125—28no—
956#125—28no—
957#125—28no—
958#125—28no—
959#125—28no—
960#125—24no—
961#125—24no—
962#125—28no—
963#125—28no—
964#124—28no—
965#124—28no—
966#124—24no—
967#124—24no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—44no—
985#123—44no—
986#123—48no—
987#123—48no—
988C22⋊Q8—24no—
989C22⋊Q8—24no—
990C22⋊Q8—24no—
991C22⋊Q8—24no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—24no—
995C22⋊Q8—24no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—28no—
1002C22⋊Q8—28no—
1003C22⋊Q8—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—28no—
1009C22⋊Q8—28no—
1010C22⋊Q8—28no—
1011C22⋊Q8—28no—
1012#121—24no—
1013#121—24no—
1014#121—48no—
1015#120—28no—
1016#120—44no—
1017C4×Q8—28no—
1018C4×Q8—28no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8—28no—
1022C4×Q8—28no—
1023C4×Q8—24no—
1024C4×Q8—24no—
1025C4×Q8—24no—
1026C4×Q8—24no—
1027C4×Q8—24no—
1028C4×Q8—24no—
1029C4×Q8—28no—
1030C4×Q8—28no—
1031C4×D4—28no—
1032C4×D4—28no—
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—24no—
1042C4×D4—24no—
1043#117—24no—
1044#117—28no—
1045#117—28no—
1046#117—28no—
1047#117—28no—
1048#117—28no—
1049#117—28no—
1050#117—28no—
1051#117—28no—
1052#117—28no—
1053#117—28no—
1054#117—28no—
1055#117—28no—
1056#117—28no—
1057#117—28no—
1058#117—28no—
1059#117—44no—
1060#117—44no—
1061#117—44no—
1062#117C2×D418yes—
1063#117C2×D418yes—
1064#117C2×D418yes—
1065#117C2×D418yes—
1066#117C2×D418yes—
1067#117C2×D418yes—
1068#117C2×D418yes—
1069#117C2×D418yes—
1070C2×C4⋊C4—24no—
1071C2×C4⋊C4—24no—
1072C2×C4⋊C4—24no—
1073C2×C4⋊C4—24no—
1074C2×C4⋊C4—28no—
1075C2×C4⋊C4—28no—
1076C2×C4⋊C4—28no—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4—24no—
1079C2×C4⋊C4—24no—
1080C2×C4⋊C4—24no—
1081C2×C4⋊C4—24no—
1082C2×C4⋊C4—24no—
1083C2×C4⋊C4—24no—
1084C2×C4⋊C4—24no—
1085C2×C4⋊C4—24no—
1086C2×C4⋊C4—24no—
1087C2×C4⋊C4—28no—
1088C2×C4⋊C4—24no—
1089C2×C4⋊C4—24no—
1090C2×C4⋊C4—28no—
1091C2×C4⋊C4—44no—
1092C2×C4⋊C4—48no—
1093C2×C4⋊C4C2×D418yes—
1094C2×C4⋊C4C2×D418yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2411yescharacteristic
1175C2×C4⋊C4C2411yescharacteristic
1176C2×C4⋊C4C2411yescharacteristic
1177C2×C4⋊C4C2411yescharacteristic
1178C2×C4⋊C4C2411yescharacteristic
1179C2×C4⋊C4C2411yescharacteristic
1180C2×C4⋊C4C2411yescharacteristic
1181C2×C4⋊C4C2411yescharacteristic
1182C2×C22⋊C4—24no—
1183C2×C22⋊C4—28no—
1184C2×C22⋊C4—24no—
1185C2×C22⋊C4—24no—
1186C2×C22⋊C4—24no—
1187C2×C22⋊C4—24no—
1188C2×C22⋊C4—24no—
1189C2×C22⋊C4—44no—
1190C2×C22⋊C4C2×D418yes—
1191C2×C22⋊C4C2×D418yes—
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⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1241C2×C22⋊C4C2411yescharacteristic
1242C2×C22⋊C4C2411yescharacteristic
1243C2×C22⋊C4C2411yescharacteristic
1244C2×C22⋊C4C2411yescharacteristic
1245C2×C22⋊C4C2411yescharacteristic
1246C2×C22⋊C4C2411yescharacteristic
1247C2×C22⋊C4C2411yescharacteristic
1248C2×C42—24no—
1249C2×C42—24no—
1250C2×C42—24no—
1251C2×C42C2×D418yes—
1252C2×C42C2×D418yes—
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2412yes—
1266C2×C42C2414yes—
1267C2×C42C2414yes—
1268C2×C42C2414yes—
1269C2×C42C2414yes—
1270C2×C42C2414yes—
1271C2×C42C2411yescharacteristic
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2411yescharacteristic
1275C2×C42C2411yescharacteristic
1276C2×C42C2411yescharacteristic
1277C2×C42C2411yescharacteristic
1278C2×C42C2411yescharacteristic
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
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—
1327C24—22no—
1328C24—22no—
1329C24—24no—
1330C24—22no—
1331C24—22no—
1332C24—22no—
1333C24—42no—
1334C24—42no—
1335C24—42no—
1336C24C22×D414yes—
1337C24C2512yes—
1338C24C2512yes—
1339C24C2511yescharacteristic
1340C24C2511yescharacteristic
1341C24C2511yescharacteristic
1342#41—416no—
1343C2×Q8—24no—
1344C2×Q8—24no—
1345C2×Q8—24no—
1346C2×Q8—22no—
1347C2×Q8—22no—
1348C2×Q8—22no—
1349C2×Q8—24no—
1350C2×Q8—24no—
1351C2×Q8—24no—
1352C2×Q8—24no—
1353C2×Q8—42no—
1354C2×Q8—42no—
1355C2×Q8—44no—
1356C2×Q8—42no—
1357C2×Q8—42no—
1358C2×Q8—42no—
1359C2×Q8—44no—
1360C2×Q8—44no—
1361C2×Q8—416no—
1362C2×Q8—416no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—28no—
1370C2×D4—28no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—44no—
1374C2×D4—42no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—416no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—28no—
1402C22×C4—28no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—24no—
1406C22×C4—28no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—416no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—44no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—44no—
1433C22×C4—416no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—416no—
1440C22×C4—416no—
1441C22×C4C22×D414yes—
1442C22×C4C22×D414yes—
1443C22×C4C22×D414yes—
1444C22×C4C22×D414yes—
1445C22×C4C22×D414yes—
1446C22×C4C22×D414yes—
1447C22×C4C22×D414yes—
1448C22×C4C22×D414yes—
1449C22×C4C22×D414yes—
1450C22×C4C22×D414yes—
1451C22×C42−1+414yes—
1452C22×C4C2514yes—
1453C22×C4C2514yes—
1454C22×C4C2514yes—
1455C22×C4C2514yes—
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2512yes—
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2511yescharacteristic
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2511yescharacteristic
1477C22×C4C2511yescharacteristic
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2512yes—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
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—28no—
1538C4⋊C4—44no—
1539C4⋊C4—42no—
1540C4⋊C4—42no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
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⋊C4C22×D414yes—
1562C4⋊C4C22×D414yes—
1563C4⋊C4C22×D414yes—
1564C4⋊C4C22×D414yes—
1565C4⋊C4C22×D414yes—
1566C4⋊C4C22×D414yes—
1567C4⋊C4C22×D414yes—
1568C4⋊C4C22×D414yes—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
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—28no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—28no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4C22×D414yes—
1618C22⋊C4C22×D414yes—
1619C22⋊C4C22×D414yes—
1620C22⋊C4C22×D414yes—
1621C22⋊C4C22×D414yes—
1622C22⋊C4C22×D414yes—
1623C22⋊C4C22×D414yes—
1624C22⋊C4C22×D414yes—
1625C42—24no—
1626C42—24no—
1627C42—24no—
1628C42—24no—
1629C42—24no—
1630C42—24no—
1631C42—24no—
1632C42—24no—
1633C42—24no—
1634C42—24no—
1635C42—24no—
1636C42—24no—
1637C42—24no—
1638C42—44no—
1639C42—44no—
1640C42—44no—
1641C42—44no—
1642C42—44no—
1643C42C22×D414yes—
1644C42C22×D414yes—
1645C42C22×D414yes—
1646C42C22×D414yes—
1647C42C22×D414yes—
1648C42C22×D414yes—
1649C42C22×D414yes—
1650C42C22×D414yes—
1651C23—21no—
1652C23—21no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—21no—
1657C23—21no—
1658C23—22no—
1659C23—22no—
1660C23—28no—
1661C23—28no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—24no—
1668C23—24no—
1669C23—22no—
1670C23—24no—
1671C23—24no—
1672C23—44no—
1673C23—48no—
1674C23—48no—
1675C23—44no—
1676C23—44no—
1677C23—44no—
1678C23—84no—
1679C23—84no—
1680C23C23×D412yes—
1681C23C23×D412yes—
1682C23C23×D412yes—
1683C23C2×2−1+412yes—
1684C23#58514yes—
1685C23#58512yes—
1686C23C2611yescharacteristic
1687Q8—48no—
1688Q8—48no—
1689Q8—48no—
1690Q8—44no—
1691Q8—44no—
1692Q8—44no—
1693Q8—84no—
1694Q8—84no—
1695D4—44no—
1696D4—48no—
1697D4—48no—
1698D4—48no—
1699D4—48no—
1700D4—84no—
1701D4—164no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—28no—
1721C2×C4—28no—
1722C2×C4—28no—
1723C2×C4—28no—
1724C2×C4—28no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—24no—
1746C2×C4—24no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—24no—
1752C2×C4—24no—
1753C2×C4—24no—
1754C2×C4—24no—
1755C2×C4—24no—
1756C2×C4—24no—
1757C2×C4—24no—
1758C2×C4—24no—
1759C2×C4—24no—
1760C2×C4—24no—
1761C2×C4—24no—
1762C2×C4—24no—
1763C2×C4—24no—
1764C2×C4—24no—
1765C2×C4—24no—
1766C2×C4—44no—
1767C2×C4—44no—
1768C2×C4—44no—
1769C2×C4—44no—
1770C2×C4—44no—
1771C2×C4—44no—
1772C2×C4—48no—
1773C2×C4—48no—
1774C2×C4—48no—
1775C2×C4—48no—
1776C2×C4—48no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—48no—
1781C2×C4—44no—
1782C2×C4—48no—
1783C2×C4—48no—
1784C2×C4—44no—
1785C2×C4—44no—
1786C2×C4—84no—
1787C2×C4—84no—
1788C2×C4—84no—
1789C2×C4—88no—
1790C2×C4C23×D412yes—
1791C2×C4C23×D412yes—
1792C2×C4C23×D412yes—
1793C2×C4C23×D412yes—
1794C2×C4C23×D412yes—
1795C2×C4C23×D412yes—
1796C2×C4C23×D412yes—
1797C2×C4C23×D412yes—
1798C2×C4C23×D412yes—
1799C2×C4C23×D412yes—
1800C2×C4C23×D412yes—
1801C2×C4C23×D412yes—
1802C2×C4C2×2−1+414yes—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—24no—
1807C22—24no—
1808C22—24no—
1809C22—24no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—22no—
1814C22—416no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—44no—
1822C22—44no—
1823C22—44no—
1824C22—44no—
1825C22—42no—
1826C22—42no—
1827C22—88no—
1828C22#344914yes—
1829C22#348914yes—
1830C22C24×D411yescharacteristic
1831C22C22×2−1+411yescharacteristic
1832C22C2×#58511yescharacteristic
1833C22C2×#58512yes—
1834C222−1+612yes—
1835C4—24no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—22no—
1841C4—22no—
1842C4—22no—
1843C4—22no—
1844C4—22no—
1845C4—22no—
1846C4—22no—
1847C4—22no—
1848C4—42no—
1849C4—42no—
1850C4—42no—
1851C4—42no—
1852C4—42no—
1853C4—42no—
1854C4—42no—
1855C4—44no—
1856C4—44no—
1857C4—44no—
1858C4—44no—
1859C4—42no—
1860C4—42no—
1861C4—42no—
1862C4—42no—
1863C4—42no—
1864C4—42no—
1865C2—24no—
1866C2—24no—
1867C2—42no—
1868C2—82no—
1869C2—82no—
1870C2C2×#344911yescharacteristic
1871C2C2×#348911yescharacteristic
1872C2#6285911yescharacteristic
1873C2#6290912yes—
1874C2#6292812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#37452C2
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×#3495C2semidirect
2. C22×#552C2semidirect
3. #42316C2semidirect
4. #42309C2semidirect
5. #42305C2semidirect
6. #42297C2semidirect
7. #42179C2semidirect
8. #42176C2semidirect
9. #42167C2semidirect
10. #42157C2semidirect
11. #42150C2semidirect
12. #39589C2semidirect
13. #39117C2semidirect
14. #38045C2semidirect
15. #38039C2semidirect
16. #37841C2semidirect
17. #37835C2semidirect
18. #37549C2semidirect
19. #37548C2semidirect
20. #37540C2semidirect
21. #37538C2semidirect
23. #37441C2semidirect
24. #36341C2semidirect
25. #36159C2semidirect
26. #36086C2semidirect
27. #36070C2semidirect
28. #36024C2semidirect
29. #35179C2semidirect
30. #35118C2semidirect
31. #35057C2semidirect
32. #34634C2semidirect
33. #34602C2semidirect
34. C2×#2627C2semidirect
35. #34180C2semidirect
37. C2×#556C22semidirect
49. C2×#552C22semidirect
50. C2×#552C22semidirect
51. C2×#552C22semidirect
54. C2×#544C22semidirect
55. C2×#542C22semidirect
56. C2×#542C22semidirect
57. C2×#541C22semidirect
58. C2×#541C22semidirect
59. C2×#536C22semidirect
75. C2×#520C22semidirect
76. C2×#519C22semidirect
89. #2823C22semidirect
90. #2822C22semidirect
91. #2822C22semidirect
92. #2821C22semidirect
93. #2821C22semidirect
94. #2820C22semidirect
98. #2726C22semidirect
99. #2726C22semidirect
100. #2725C22semidirect
101. #2725C22semidirect
102. #2723C22semidirect
103. #2720C22semidirect
104. #2720C22semidirect
105. #2719C22semidirect
108. #2716C22semidirect
109. #2713C22semidirect
112. #2704C22semidirect
113. #2704C22semidirect
114. #2702C22semidirect
115. #2702C22semidirect
116. #2700C22semidirect
117. #2698C22semidirect
118. #2692C22semidirect
119. #2690C22semidirect
120. #2689C22semidirect
121. #2687C22semidirect
122. #2664C22semidirect
123. #2664C22semidirect
124. #2664C22semidirect
127. #2662C22semidirect
128. #2660C22semidirect
129. #2642C22semidirect
130. #2637C22semidirect
131. #2637C22semidirect
132. #2637C22semidirect
133. #2636C22semidirect
134. #2634C22semidirect
135. #2634C22semidirect
136. #2634C22semidirect
137. #2632C22semidirect
139. #2629C22semidirect
140. #2629C22semidirect
141. #2628C22semidirect
142. #2628C22semidirect
155. #2627C22semidirect
156. #2627C22semidirect
157. #2627C22semidirect
171. #2611C22semidirect
172. #2610C22semidirect
173. #2609C22semidirect
174. #2604C22semidirect
175. #2604C22semidirect
176. #2601C22semidirect
177. #2601C22semidirect
178. #2599C22semidirect
179. #2598C22semidirect
180. #2591C22semidirect
181. #2584C22semidirect
184. #2583C22semidirect
185. #2582C22semidirect
186. #2581C22semidirect
187. #2581C22semidirect
190. #2579C22semidirect
191. #2568C22semidirect
192. #2567C22semidirect
193. #2565C22semidirect
194. #2565C22semidirect
195. #2562C22semidirect
198. #2560C22semidirect
199. #2560C22semidirect
200. #2556C22semidirect
201. #2556C22semidirect
202. #2549C22semidirect
205. #2519C22semidirect
206. #2519C22semidirect
207. #2506C22semidirect
208. #2506C22semidirect
214. #2488C22semidirect
220. #2484C22semidirect
223. #2481C22semidirect
224. #2478C22semidirect
225. #2478C22semidirect
226. #2477C22semidirect
227. #2475C22semidirect
228. #2474C22semidirect
229. #2473C22semidirect
230. #2470C22semidirect
231. #2469C22semidirect
234. #2465C22semidirect
235. #2462C22semidirect
236. #2462C22semidirect
240. #2450C22semidirect
241. #2438C22semidirect
242. #2438C22semidirect
251. #2413C22semidirect
252. #2413C22semidirect
256. #2406C22semidirect
258. #2399C22semidirect
259. #2398C22semidirect
260. #2396C22semidirect
261. #2396C22semidirect
262. #2396C22semidirect
263. #2396C22semidirect
264. C2×#400C22semidirect
265. C2×#398C22semidirect
266. C2×#395C22semidirect
269. #2359C22semidirect
270. #2347C22semidirect
271. #2346C22semidirect
274. #2344C22semidirect
275. #2343C22semidirect
276. #2343C22semidirect
284. #2317C22semidirect
285. #2314C22semidirect
286. #2314C22semidirect
300. #2274C22semidirect
473. C2×#117D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34952
C22×#5522
#423162
#423092
#423052
#422972
#421792
#421762
#421672
#421572
#421502
#395892
#391172
#380452
#380392
#378412
#378352
#375492
#375482
#375402
#375382
#374522
#374412
#363412
#361592
#360862
#360702
#360242
#351792
#351182
#350572
#346342
#346022
C2×#26272
#341802