Finite Group Databasebeta

← #7658633

Subgroups — #7658633

Order 512.

6802 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3513C211yesmaximal, characteristic
2C2×#3501C211yesmaximal, characteristic, complemented
3#42682C211yesmaximal, characteristic, complemented
4#42678C211yesmaximal, characteristic, complemented
5#42644C212yesmaximal, complemented
6#42485C211yesmaximal, characteristic, complemented
7#42481C211yesmaximal, characteristic, complemented
8#42442C212yesmaximal, complemented
9#42439C212yesmaximal, complemented
10#42423C212yesmaximal, complemented
11#41412C212yesmaximal, complemented
12#41408C212yesmaximal, complemented
13#40595C212yesmaximal, complemented
14#40591C212yesmaximal, complemented
15#40516C214yesmaximal, complemented
16#40513C214yesmaximal, complemented
17#40511C214yesmaximal, complemented
18#40487C214yesmaximal, complemented
19#37633C211yesmaximal, characteristic, complemented
20#37622C211yesmaximal, characteristic, complemented
21#37545C211yesmaximal, characteristic, complemented
22#37449C212yesmaximal, complemented
23#37442C212yesmaximal, complemented
24#37441C212yesmaximal, complemented
25#36699C211yesmaximal, characteristic, complemented
26C2×#2814C212yesmaximal, complemented
27#35950C211yesmaximal, characteristic, complemented
28#35939C211yesmaximal, characteristic, complemented
29#35928C211yesmaximal, characteristic, complemented
30#35847C211yesmaximal, characteristic, complemented
31#35806C212yesmaximal, complemented
32#35791C212yesmaximal, complemented
33#35776C212yesmaximal, complemented
34#35713C212yesmaximal, complemented
35#34194C211yesmaximal, characteristic, complemented
36#3513—216no—
37#3501—216no—
38C2×#559C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#554C2212yes—
41C2×#554C2211yescharacteristic
42C2×#554C2214yescomplemented
43C2×#554C2211yescharacteristic, complemented
44C2×#554C2212yescomplemented
45C2×#554C2212yescomplemented
46C2×#553C2212yes—
47C2×#553C2211yescharacteristic
48C2×#552C2211yescharacteristic
49C2×#551C2212yes—
50C2×#551C2212yes—
51C2×D4×Q8C2211yescharacteristic
52C2×D4×Q8C2212yescomplemented
53C2×D4×Q8C2211yescharacteristic, complemented
54C2×#547C2211yescharacteristic
55C2×#546C2211yescharacteristic
56C2×#546C2212yes—
57C2×#546C2211yescharacteristic
58C2×D42C2211yescharacteristic
59C2×#544C2212yescomplemented
60C2×#543C2214yescomplemented
61C2×#542C2211yescharacteristic
62C2×#540C2211yescharacteristic
63C2×#539C2212yes—
64C2×#538C2212yes—
65C2×#533C2211yescharacteristic, complemented
66C2×#533C2211yescharacteristic, complemented
67C2×#529C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#525C2212yes—
70C22×#123C2212yes—
71C22×C22⋊Q8C2212yescomplemented
72C22×C22⋊Q8C2212yescomplemented
73C2×#520C2211yescharacteristic
74C2×#518C2212yes—
75C2×#518C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77#2822C2212yescomplemented
78#2821C2211yescharacteristic, complemented
79#2821C2211yescharacteristic, complemented
80#2821C2211yescharacteristic, complemented
81#2821C2211yescharacteristic, complemented
82#2820C2212yescomplemented
83#2817C2212yescomplemented
84#2816C2212yes—
85#2814C2212yes—
86#2814C2214yes—
87#2814C2211yescharacteristic
88#2814C2211yescharacteristic
89#2814C2212yescomplemented
90#2814C2214yescomplemented
91#2814C2214yescomplemented
92#2814C2212yescomplemented
93#2814C2214yescomplemented
94#2814C2212yescomplemented
95#2814C2212yescomplemented
96#2814C2212yescomplemented
97#2814C2212yescomplemented
98#2814C2212yescomplemented
99#2814C2212yescomplemented
100#2814C2212yescomplemented
101#2814C2211yescharacteristic, complemented
102#2814C2211yescharacteristic, complemented
103#2721C2214yescomplemented
104#2719C2214yescomplemented
105#2716C2214yescomplemented
106#2713C2214yescomplemented
107#2700C2214yescomplemented
108#2700C2214yescomplemented
109#2698C2214yescomplemented
110#2698C2214yescomplemented
111#2694C2214yescomplemented
112#2690C2214yescomplemented
113#2689C2214yescomplemented
114#2689C2214yescomplemented
115#2687C2214yescomplemented
116#2687C2214yescomplemented
117#2681C2214yescomplemented
118#2681C2214yescomplemented
119#2680C2214yescomplemented
120#2680C2214yescomplemented
121#2677C2214yescomplemented
122#2674C2214yescomplemented
123#2674C2214yescomplemented
124#2674C2214yescomplemented
125#2672C2214yescomplemented
126#2672C2214yescomplemented
127#2664C2214yescomplemented
128#2663C2214yes—
129#2663C2214yescomplemented
130#2660C2211yescharacteristic, complemented
131#2660C2211yescharacteristic, complemented
132#2659C2212yescomplemented
133#2659C2212yescomplemented
134#2640C2211yescharacteristic, complemented
135#2640C2211yescharacteristic, complemented
136#2639C2212yescomplemented
137#2639C2212yescomplemented
138#2638C2214yescomplemented
139#2638C2212yescomplemented
140#2638C2212yescomplemented
141#2638C2212yescomplemented
142#2638C2212yescomplemented
143#2637C2212yescomplemented
144#2637C2212yescomplemented
145#2637C2214yescomplemented
146#2629C2212yescomplemented
147#2629C2212yescomplemented
148#2628C2212yescomplemented
149#2627C2214yescomplemented
150#2627C2214yescomplemented
151#2626C2214yescomplemented
152#2625C2214yescomplemented
153#2625C2212yescomplemented
154#2624C2212yes—
155#2623C2212yescomplemented
156#2623C2212yescomplemented
157#2622C2214yes—
158#2622C2214yescomplemented
159#2621C2212yescomplemented
160#2621C2214yescomplemented
161#2621C2212yescomplemented
162#2620C2212yes—
163#2620C2214yescomplemented
164#2618C2214yescomplemented
165#2616C2214yescomplemented
166#2614C2212yescomplemented
167#2614C2212yescomplemented
168#2599C2212yescomplemented
169#2599C2212yescomplemented
170#2592C2211yescharacteristic, complemented
171#2592C2211yescharacteristic, complemented
172#2584C2211yescharacteristic, complemented
173#2584C2211yescharacteristic, complemented
174#2583C2212yescomplemented
175#2583C2212yescomplemented
176#2582C2212yescomplemented
177#2579C2214yescomplemented
178#2579C2214yescomplemented
179#2567C2211yescharacteristic, complemented
180#2566C2212yescomplemented
181#2565C2212yescomplemented
182#2565C2212yescomplemented
183#2563C2211yescharacteristic, complemented
184#2561C2212yescomplemented
185#2561C2212yescomplemented
186#2552C2212yescomplemented
187#2551C2212yescomplemented
188#2550C2212yescomplemented
189#2550C2212yescomplemented
190#2549C2214yescomplemented
191#2549C2214yescomplemented
192#2547C2211yescharacteristic, complemented
193#2546C2211yescharacteristic, complemented
194#2545C2212yescomplemented
195#2538C2212yescomplemented
196#2504C2212yescomplemented
197#2502C2212yescomplemented
198#2500C2212yes—
199#2499C2214yescomplemented
200#2499C2212yescomplemented
201#2492C2212yescomplemented
202#2491C2212yescomplemented
203#2490C2212yescomplemented
204#2489C2212yescomplemented
205#2488C2214yescomplemented
206#2488C2214yescomplemented
207#2486C2212yescomplemented
208#2486C2212yescomplemented
209#2485C2212yes—
210#2485C2212yescomplemented
211#2483C2214yescomplemented
212#2472C2214yescomplemented
213#2472C2214yescomplemented
214#2454C2212yescomplemented
215#2453C2212yescomplemented
216#2452C2212yescomplemented
217#2451C2212yescomplemented
218#2450C2214yescomplemented
219#2450C2214yescomplemented
220#2449C2214yescomplemented
221#2449C2214yescomplemented
222#2447C2212yescomplemented
223#2447C2212yescomplemented
224#2445C2212yes—
225#2445C2212yes—
226#2444C2214yes—
227#2444C2214yescomplemented
228#2443C2214yes—
229#2443C2214yescomplemented
230#2442C2212yescomplemented
231#2441C2212yescomplemented
232#2440C2214yescomplemented
233#2440C2214yescomplemented
234#2440C2212yescomplemented
235#2439C2212yescomplemented
236#2438C2214yescomplemented
237#2438C2214yescomplemented
238#2437C2214yescomplemented
239#2437C2214yescomplemented
240#2436C2212yescomplemented
241#2434C2212yescomplemented
242#2432C2214yescomplemented
243#2422C2212yes—
244#2422C2212yescomplemented
245#2420C2212yes—
246#2420C2212yescomplemented
247#2419C2214yescomplemented
248#2419C2214yescomplemented
249#2418C2214yes—
250#2418C2214yes—
251#2417C2214yescomplemented
252#2417C2214yescomplemented
253#2415C2214yescomplemented
254#2413C2214yescomplemented
255#2413C2214yescomplemented
256#2412C2214yes—
257#2412C2214yescomplemented
258#2409C2212yescomplemented
259#2409C2212yescomplemented
260#2405C2214yes—
261#2399C2211yescharacteristic, complemented
262#2399C2211yescharacteristic, complemented
263#2398C2211yescharacteristic, complemented
264#2398C2211yescharacteristic, complemented
265#2396C2212yescomplemented
266#2396C2212yescomplemented
267#2395C2212yes—
268#2395C2212yescomplemented
269C2×#398C2214yescomplemented
270C2×#398C2212yescomplemented
271C2×#397C2212yescomplemented
272C2×#397C2214yescomplemented
273C2×#396C2214yescomplemented
274C2×#395C2212yescomplemented
275C2×#394C2214yes—
276C2×#393C2212yescomplemented
277#2354C2212yescomplemented
278#2352C2214yescomplemented
279#2349C2212yes—
280#2349C2212yes—
281D4×C4⋊C4C2212yes—
282D4×C4⋊C4C2212yes—
283D4×C4⋊C4C2212yes—
284#2345C2212yescomplemented
285#2342C2214yescomplemented
286#2339C2212yes—
287#2339C2212yes—
288D4×C22⋊C4C2212yes—
289D4×C22⋊C4C2212yes—
290D4×C22⋊C4C2212yes—
291#2319C2211yescharacteristic, complemented
292#2319C2211yescharacteristic, complemented
293#2318C2212yescomplemented
294#2318C2212yescomplemented
295#2285C2211yescharacteristic, complemented
296#2283C2211yescharacteristic, complemented
297#2280C2212yescomplemented
298C2×#380C2212yescomplemented
299#2275C2211yescharacteristic
300#2275C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×Q8C2312yes—
304C23×Q8C2312yes—
305C23×D4C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C24×C4C2312yes—
309#559—28no—
310#554—216no—
311#554—28no—
312#554—28no—
313#554—232no—
314#554—216no—
315#554—216no—
316#554—28no—
317#553—216no—
318#553—28no—
319#552—28no—
320#551—216no—
321#551—216no—
322D4×Q8—28no—
323D4×Q8—216no—
324D4×Q8—28no—
325#547—28no—
326#546—28no—
327#546—28no—
328#546—216no—
329D42—28no—
330#544—216no—
331#543—232no—
332#542—28no—
333#540—28no—
334#539—216no—
335#538—216no—
336#533—28no—
337#533—28no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2314yes—
348C2×#127C2311yescharacteristic
349#529—28no—
350#529—28no—
351C2×#126C2311yescharacteristic
352C2×#126C2311yescharacteristic
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#125C2312yes—
358C2×#125C2311yescharacteristic
359C2×#125C2312yes—
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2311yescharacteristic
363C2×#125C2314yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#124C2311yescharacteristic
367C2×#124C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2311yescharacteristic
371C2×#124C2312yes—
372C2×#124C2314yes—
373#525—216no—
374C2×#123—216no—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2311yescharacteristic
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2311yescharacteristic
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×C22⋊Q8—216no—
394C2×C22⋊Q8—216no—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2314yes—
421C2×C22⋊Q8C2314yes—
422C2×C22⋊Q8C2314yes—
423C2×C22⋊Q8C2314yes—
424C2×C22⋊Q8C2314yes—
425C2×C22⋊Q8C2314yes—
426C2×C22⋊Q8C2314yes—
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2311yescharacteristic
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#120C2312yes—
439C2×#120C2312yes—
440C2×#120C2312yes—
441C2×#120C2312yes—
442#520—28no—
443#518—216no—
444#518—28no—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×D4D4116yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2314yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2311yescharacteristic
486C2×#117C2311yescharacteristic
487C2×#117C2312yes—
488C2×#117C2311yescharacteristic
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2314yes—
492C22×C4⋊C4C2314yes—
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2314yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2311yescharacteristic
499C22×C4⋊C4C2314yes—
500C22×C4⋊C4C2314yes—
501C22×C4⋊C4C2314yes—
502C22×C4⋊C4C2311yescharacteristic
503C22×C22⋊C4C2312yes—
504C22×C22⋊C4C2314yes—
505C22×C22⋊C4C2312yes—
506C22×C22⋊C4C2312yes—
507C22×C22⋊C4C2314yes—
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2314yes—
510C22×C22⋊C4C2314yes—
511C22×C22⋊C4C2314yes—
512C22×C22⋊C4C2312yes—
513C22×C42C2311yescharacteristic
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2314yes—
521#400C2314yes—
522#400C2314yes—
523#400C2314yes—
524#400C2314yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2314yes—
530#399C2314yes—
531#399C2314yes—
532#398C2312yes—
533#398C2312yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2312yes—
539#398C2312yes—
540#398C2311yescharacteristic
541#398C2311yescharacteristic
542#398C2311yescharacteristic
543#398C2311yescharacteristic
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2314yes—
549#398C2314yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#398C2312yes—
561#398C2314yes—
562#398C2314yes—
563#398C2314yes—
564#398C2314yes—
565#398C2314yes—
566#398C2314yes—
567#398C2314yes—
568#397C2311yescharacteristic
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2311yescharacteristic
579#397C2311yescharacteristic
580#397C2311yescharacteristic
581#397C2312yes—
582#397C2312yes—
583#397C2314yes—
584#397C2314yes—
585#397C2314yes—
586#397C2314yes—
587#397C2314yes—
588#397C2314yes—
589#397C2314yes—
590#397C2314yes—
591#397C2314yes—
592#397C2314yes—
593#397C2314yes—
594#397C2312yes—
595#397C2314yes—
596#397C2314yes—
597#397C2314yes—
598#397C2314yes—
599#397C2314yes—
600#397C2314yes—
601#397C2314yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2314yes—
607#396C2314yes—
608#396C2314yes—
609#396C2314yes—
610#396C2314yes—
611#396C2314yes—
612#396C2314yes—
613#396C2314yes—
614#396C2314yes—
615#396C2314yes—
616#396C2314yes—
617#396C2314yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2311yescharacteristic
623#395C2311yescharacteristic
624#395C2311yescharacteristic
625#395C2311yescharacteristic
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2314yes—
633#395C2314yes—
634#395C2314yes—
635#395C2314yes—
636#395C2314yes—
637#395C2314yes—
638#395C2314yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2314yes—
649#394C2314yes—
650#394C2314yes—
651#394C2314yes—
652#394C2314yes—
653#394C2314yes—
654#394C2314yes—
655#394C2314yes—
656#394C2314yes—
657#394C2314yes—
658#394C2314yes—
659#394C2314yes—
660#394C2314yes—
661#393C2312yes—
662#393C2312yes—
663#393C2311yescharacteristic
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2311yescharacteristic
669#393C2311yescharacteristic
670#393C2311yescharacteristic
671#393C2312yes—
672#393C2312yes—
673#393C2314yes—
674#393C2314yes—
675#393C2314yes—
676#393C2314yes—
677#393C2314yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2314yes—
686#391C2314yes—
687#391C2314yes—
688#391C2314yes—
689#391C2314yes—
690#391C2314yes—
691#390C2312yes—
692#390C2312yes—
693#390C2312yes—
694#390C2312yes—
695#390C2312yes—
696#390C2312yes—
697#390C2312yes—
698#390C2314yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2314yes—
706#389C2314yes—
707#389C2314yes—
708#389C2314yes—
709#389C2314yes—
710#389C2312yes—
711#389C2312yes—
712#389C2314yes—
713#389C2314yes—
714#389C2312yes—
715#389C2312yes—
716#389C2314yes—
717#389C2314yes—
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#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
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#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#384C2312yes—
779#384C2312yes—
780#384C2312yes—
781#384C2312yes—
782#384C2314yes—
783#383C2311yescharacteristic
784#383C2311yescharacteristic
785#382C2312yes—
786#382C2312yes—
787#382C2312yes—
788#382C2312yes—
789#382C2312yes—
790#382C2314yes—
791#381C2312yes—
792#381C2314yes—
793#381C2314yes—
794#381C2312yes—
795#381C2312yes—
796#381C2314yes—
797#381C2314yes—
798#381C2314yes—
799#381C2314yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2314yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2314yes—
809#380C2314yes—
810#380C2314yes—
811#380C2314yes—
812#380C2314yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2314yes—
817#380C2311yescharacteristic
818#380C2312yes—
819#380C2311yescharacteristic
820#379C2314yes—
821#379C2314yes—
822#379C2314yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843#376C2311yescharacteristic
844#376C2311yescharacteristic
845C2×#95C2312yes—
846C2×#95C2312yes—
847C2×#95C2314yes—
848C2×#95C2314yes—
849C2×#95C2314yes—
850C2×#95C2314yes—
851C25C2412yes—
852C25C2412yes—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—28no—
856C2×#41—84no—
857C22×Q8—28no—
858C22×Q8—28no—
859C22×Q8—84no—
860C22×Q8—84no—
861C22×Q8C2411yescharacteristic
862C22×Q8C2412yes—
863C22×Q8C2412yes—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2414yes—
869C22×Q8C2414yes—
870C22×Q8C2412yes—
871C22×D4—28no—
872C22×D4—28no—
873C22×D4—24no—
874C22×D4—28no—
875C22×D4—84no—
876C22×D4C2×D418yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C23×C4—84no—
893C23×C4C2×D4116yes—
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2412yes—
899C23×C4C2414yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2414yes—
904C23×C4C2414yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C4⋊Q8—24no—
917C4⋊Q8—28no—
918C4⋊Q8—28no—
919C4⋊Q8—216no—
920C4⋊Q8—24no—
921C4⋊Q8—24no—
922C4⋊Q8—24no—
923C4⋊Q8—24no—
924C4⋊Q8—82no—
925C4⋊Q8—84no—
926#127—24no—
927#126—28no—
928#126—28no—
929#126—28no—
930#126—28no—
931#126—24no—
932#126—24no—
933#125—28no—
934#125—24no—
935#125—28no—
936#125—28no—
937#125—216no—
938#125—24no—
939#125—24no—
940#125—28no—
941#125—28no—
942#124—24no—
943#124—28no—
944#124—28no—
945#124—24no—
946#124—24no—
947#124—82no—
948#124—84no—
949#123—28no—
950#123—24no—
951#123—28no—
952#123—28no—
953#123—28no—
954#123—28no—
955#123—28no—
956#123—28no—
957#123—28no—
958#123—24no—
959#123—28no—
960#123—28no—
961#123—28no—
962#123—28no—
963#123—84no—
964#123—84no—
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—24no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—24no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—216no—
989C22⋊Q8—216no—
990C22⋊Q8—216no—
991C22⋊Q8—216no—
992C22⋊Q8—216no—
993C22⋊Q8—216no—
994C22⋊Q8—216no—
995C22⋊Q8—216no—
996C22⋊Q8—84no—
997C22⋊Q8—84no—
998C22⋊Q8—84no—
999#121—28no—
1000#121—28no—
1001#121—24no—
1002#121—24no—
1003#121—28no—
1004#121—28no—
1005#121—24no—
1006#121—24no—
1007#121—24no—
1008#121—28no—
1009#121—28no—
1010#120—28no—
1011#120—28no—
1012#120—28no—
1013#120—28no—
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—216no—
1024C4×D4—28no—
1025C4×D4—28no—
1026C4×D4—216no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—24no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—28no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4C2×D418yes—
1045C4×D4C2×D4116yes—
1046C4×D4C2×D418yes—
1047C4×D4C2×D418yes—
1048C4×D4C2×D4116yes—
1049C4×D4C2×D418yes—
1050#117—28no—
1051#117—28no—
1052#117—28no—
1053#117—24no—
1054#117—28no—
1055#117—24no—
1056#117—24no—
1057#117—28no—
1058#117—82no—
1059#117—84no—
1060C2×C4⋊C4—28no—
1061C2×C4⋊C4—216no—
1062C2×C4⋊C4—216no—
1063C2×C4⋊C4—28no—
1064C2×C4⋊C4—28no—
1065C2×C4⋊C4—28no—
1066C2×C4⋊C4—24no—
1067C2×C4⋊C4—84no—
1068C2×C4⋊C4—84no—
1069C2×C4⋊C4—84no—
1070C2×C4⋊C4C2×D418yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C22⋊C4—216no—
1146C2×C22⋊C4—216no—
1147C2×C22⋊C4—28no—
1148C2×C22⋊C4—28no—
1149C2×C22⋊C4—28no—
1150C2×C22⋊C4—28no—
1151C2×C22⋊C4—84no—
1152C2×C22⋊C4—84no—
1153C2×C22⋊C4—84no—
1154C2×C22⋊C4C2×D4116yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C42C2×D418yes—
1221C2×C42C2412yes—
1222C2×C42C2412yes—
1223C2×C42C2412yes—
1224C2×C42C2411yescharacteristic
1225C2×C42C2411yescharacteristic
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2414yes—
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2414yes—
1232C2×C42C2412yes—
1233C2×C42C2414yes—
1234C2×C42C2412yes—
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2411yescharacteristic
1262#95C2411yescharacteristic
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296C24—28no—
1297C24—24no—
1298C24—28no—
1299C24—42no—
1300C24—44no—
1301C24—42no—
1302C24—42no—
1303C24—44no—
1304C24—42no—
1305C24C22×D418yes—
1306C24C2511yescharacteristic
1307C24C2512yes—
1308C24C2511yescharacteristic
1309C24C2511yescharacteristic
1310C24C2512yes—
1311C24C2512yes—
1312#41—416no—
1313#41—816no—
1314C2×Q8—22no—
1315C2×Q8—24no—
1316C2×Q8—22no—
1317C2×Q8—22no—
1318C2×Q8—24no—
1319C2×Q8—24no—
1320C2×Q8—22no—
1321C2×Q8—24no—
1322C2×Q8—28no—
1323C2×Q8—28no—
1324C2×Q8—24no—
1325C2×Q8—42no—
1326C2×Q8—44no—
1327C2×Q8—42no—
1328C2×Q8—42no—
1329C2×Q8—44no—
1330C2×Q8—44no—
1331C2×Q8—42no—
1332C2×Q8—44no—
1333C2×Q8—41no—
1334C2×Q8—44no—
1335C2×Q8—44no—
1336C2×Q8—42no—
1337C2×Q8—42no—
1338C2×Q8—41no—
1339C2×Q8—816no—
1340C2×Q8—816no—
1341C2×D4—28no—
1342C2×D4—232no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—22no—
1346C2×D4—24no—
1347C2×D4—22no—
1348C2×D4—28no—
1349C2×D4—28no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—42no—
1360C2×D4—44no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—41no—
1367C2×D4—44no—
1368C2×D4—41no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—416no—
1372C2×D4—816no—
1373C2×D4C22×D418yes—
1374C2×D4C22×D414yes—
1375C2×D4C22×D414yes—
1376C2×D42−1+418yes—
1377C22×C4—24no—
1378C22×C4—24no—
1379C22×C4—28no—
1380C22×C4—24no—
1381C22×C4—28no—
1382C22×C4—28no—
1383C22×C4—28no—
1384C22×C4—28no—
1385C22×C4—24no—
1386C22×C4—28no—
1387C22×C4—28no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—44no—
1396C22×C4—41no—
1397C22×C4—44no—
1398C22×C4—42no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—41no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—42no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—42no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—42no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—42no—
1422C22×C4—816no—
1423C22×C4C22×D414yes—
1424C22×C4C22×D414yes—
1425C22×C4C22×D414yes—
1426C22×C4C22×D418yes—
1427C22×C4C22×D418yes—
1428C22×C4C22×D418yes—
1429C22×C4C22×D418yes—
1430C22×C4C22×D418yes—
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2514yes—
1439C22×C4C2514yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2512yes—
1443C22×C4C2514yes—
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2514yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C4⋊C4—24no—
1461C4⋊C4—22no—
1462C4⋊C4—24no—
1463C4⋊C4—28no—
1464C4⋊C4—24no—
1465C4⋊C4—22no—
1466C4⋊C4—24no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—24no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—28no—
1475C4⋊C4—28no—
1476C4⋊C4—28no—
1477C4⋊C4—28no—
1478C4⋊C4—28no—
1479C4⋊C4—28no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—28no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—42no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—44no—
1522C4⋊C4—42no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—42no—
1531C4⋊C4C22×D414yes—
1532C4⋊C4C22×D414yes—
1533C4⋊C4C22×D418yes—
1534C22⋊C4—24no—
1535C22⋊C4—28no—
1536C22⋊C4—24no—
1537C22⋊C4—22no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—28no—
1541C22⋊C4—28no—
1542C22⋊C4—28no—
1543C22⋊C4—28no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—22no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—28no—
1551C22⋊C4—28no—
1552C22⋊C4—24no—
1553C22⋊C4—22no—
1554C22⋊C4—22no—
1555C22⋊C4—22no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—24no—
1564C22⋊C4—22no—
1565C22⋊C4—22no—
1566C22⋊C4—24no—
1567C22⋊C4—22no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—44no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—42no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—42no—
1595C22⋊C4C22×D418yes—
1596C22⋊C4C22×D418yes—
1597C22⋊C4C22×D418yes—
1598C22⋊C4C22×D418yes—
1599C42—24no—
1600C42—24no—
1601C42—24no—
1602C42—22no—
1603C42—22no—
1604C42—28no—
1605C42—24no—
1606C42—24no—
1607C42—24no—
1608C42—24no—
1609C42—42no—
1610C42—44no—
1611C42—42no—
1612C42—44no—
1613C42C22×D414yes—
1614C42C22×D414yes—
1615C42C22×D414yes—
1616C42C22×D414yes—
1617C23—22no—
1618C23—24no—
1619C23—22no—
1620C23—22no—
1621C23—24no—
1622C23—21no—
1623C23—22no—
1624C23—24no—
1625C23—22no—
1626C23—21no—
1627C23—22no—
1628C23—216no—
1629C23—21no—
1630C23—22no—
1631C23—21no—
1632C23—22no—
1633C23—22no—
1634C23—24no—
1635C23—22no—
1636C23—21no—
1637C23—21no—
1638C23—22no—
1639C23—24no—
1640C23—22no—
1641C23—22no—
1642C23—21no—
1643C23—21no—
1644C23—48no—
1645C23—48no—
1646C23—48no—
1647C23—88no—
1648C23—88no—
1649C23—84no—
1650C23—88no—
1651C23—88no—
1652C23—84no—
1653C23C23×D412yes—
1654C23C23×D414yes—
1655C23C23×D414yes—
1656C23C2×2−1+418yes—
1657C23C2611yescharacteristic
1658Q8—44no—
1659Q8—48no—
1660Q8—44no—
1661Q8—44no—
1662Q8—84no—
1663Q8—84no—
1664Q8—82no—
1665Q8—88no—
1666Q8—88no—
1667Q8—84no—
1668D4—216no—
1669D4—28no—
1670D4—44no—
1671D4—48no—
1672D4—44no—
1673D4—48no—
1674D4—48no—
1675D4—44no—
1676D4—82no—
1677D4—84no—
1678D4—84no—
1679D4—84no—
1680D4—84no—
1681D4—84no—
1682D4#536116yes—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—28no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—24no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—24no—
1721C2×C4—24no—
1722C2×C4—24no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—44no—
1751C2×C4—48no—
1752C2×C4—48no—
1753C2×C4—48no—
1754C2×C4—48no—
1755C2×C4—48no—
1756C2×C4—44no—
1757C2×C4—48no—
1758C2×C4—44no—
1759C2×C4—44no—
1760C2×C4—84no—
1761C2×C4—84no—
1762C2×C4—84no—
1763C2×C4—88no—
1764C2×C4—88no—
1765C2×C4—84no—
1766C2×C4—88no—
1767C2×C4—88no—
1768C2×C4—84no—
1769C2×C4—88no—
1770C2×C4—88no—
1771C2×C4C23×D412yes—
1772C2×C4C23×D412yes—
1773C2×C4C23×D414yes—
1774C2×C4C23×D412yes—
1775C2×C4C23×D412yes—
1776C2×C4C23×D412yes—
1777C2×C4C23×D414yes—
1778C2×C4C23×D412yes—
1779C2×C4C2×2−1+414yes—
1780C22—28no—
1781C22—28no—
1782C22—24no—
1783C22—24no—
1784C22—22no—
1785C22—24no—
1786C22—22no—
1787C22—24no—
1788C22—22no—
1789C22—24no—
1790C22—44no—
1791C22—42no—
1792C22—44no—
1793C22—42no—
1794C22—42no—
1795C22—44no—
1796C22—42no—
1797C22—42no—
1798C22—44no—
1799C22—42no—
1800C22—41no—
1801C22—42no—
1802C22—41no—
1803C22—42no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—42no—
1809C22—816no—
1810C22—168no—
1811C22C2×#53618yes—
1812C22C24×D411yescharacteristic
1813C22C22×2−1+412yes—
1814C22H(7,𝔽2)11yescharacteristic
1815C22H(7,𝔽2)12yes—
1816C222−1+611yescharacteristic
1817C4—22no—
1818C4—22no—
1819C4—24no—
1820C4—24no—
1821C4—22no—
1822C4—22no—
1823C4—22no—
1824C4—44no—
1825C4—44no—
1826C4—42no—
1827C4—42no—
1828C4—42no—
1829C4—42no—
1830C4—41no—
1831C4—42no—
1832C4—41no—
1833C4—42no—
1834C4—44no—
1835C4—42no—
1836C4—42no—
1837C4—41no—
1838C4—42no—
1839C4—44no—
1840C4—42no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—42no—
1845C4C2×#53614yes—
1846C2—28no—
1847C2—44no—
1848C2—42no—
1849C2—81no—
1850C2—82no—
1851C2—81no—
1852C2C22×#53611yescharacteristic
1853C2#6284211yescharacteristic
1854C2#6285311yescharacteristic
1855C2#6305412yes—
1856C2#6305812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3513C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3501C2semidirect
3. #42682C2semidirect
4. #42678C2semidirect
5. #42644C2semidirect
6. #42485C2semidirect
7. #42481C2semidirect
8. #42442C2semidirect
9. #42439C2semidirect
10. #42423C2semidirect
11. #41412C2semidirect
12. #41408C2semidirect
13. #40595C2semidirect
14. #40591C2semidirect
15. #40516C2semidirect
16. #40513C2semidirect
17. #40511C2semidirect
18. #40487C2semidirect
19. #37633C2semidirect
20. #37622C2semidirect
21. #37545C2semidirect
22. #37449C2semidirect
23. #37442C2semidirect
24. #37441C2semidirect
25. #36699C2semidirect
26. C2×#2814C2semidirect
27. #35950C2semidirect
28. #35939C2semidirect
29. #35928C2semidirect
30. #35847C2semidirect
31. #35806C2semidirect
32. #35791C2semidirect
33. #35776C2semidirect
34. #35713C2semidirect
35. #34194C2semidirect
42. C2×#554C22semidirect
43. C2×#554C22semidirect
44. C2×#554C22semidirect
45. C2×#554C22semidirect
52. C2×D4×Q8C22semidirect
53. C2×D4×Q8C22semidirect
59. C2×#544C22semidirect
60. C2×#543C22semidirect
65. C2×#533C22semidirect
66. C2×#533C22semidirect
71. C22×C22⋊Q8C22semidirect
72. C22×C22⋊Q8C22semidirect
77. #2822C22semidirect
78. #2821C22semidirect
79. #2821C22semidirect
80. #2821C22semidirect
81. #2821C22semidirect
82. #2820C22semidirect
83. #2817C22semidirect
89. #2814C22semidirect
90. #2814C22semidirect
91. #2814C22semidirect
92. #2814C22semidirect
93. #2814C22semidirect
94. #2814C22semidirect
95. #2814C22semidirect
96. #2814C22semidirect
97. #2814C22semidirect
98. #2814C22semidirect
99. #2814C22semidirect
100. #2814C22semidirect
101. #2814C22semidirect
102. #2814C22semidirect
103. #2721C22semidirect
104. #2719C22semidirect
105. #2716C22semidirect
106. #2713C22semidirect
107. #2700C22semidirect
108. #2700C22semidirect
109. #2698C22semidirect
110. #2698C22semidirect
111. #2694C22semidirect
112. #2690C22semidirect
113. #2689C22semidirect
114. #2689C22semidirect
115. #2687C22semidirect
116. #2687C22semidirect
117. #2681C22semidirect
118. #2681C22semidirect
119. #2680C22semidirect
120. #2680C22semidirect
121. #2677C22semidirect
122. #2674C22semidirect
123. #2674C22semidirect
124. #2674C22semidirect
125. #2672C22semidirect
126. #2672C22semidirect
127. #2664C22semidirect
129. #2663C22semidirect
130. #2660C22semidirect
131. #2660C22semidirect
132. #2659C22semidirect
133. #2659C22semidirect
134. #2640C22semidirect
135. #2640C22semidirect
136. #2639C22semidirect
137. #2639C22semidirect
138. #2638C22semidirect
139. #2638C22semidirect
140. #2638C22semidirect
141. #2638C22semidirect
142. #2638C22semidirect
143. #2637C22semidirect
144. #2637C22semidirect
145. #2637C22semidirect
146. #2629C22semidirect
147. #2629C22semidirect
148. #2628C22semidirect
149. #2627C22semidirect
150. #2627C22semidirect
151. #2626C22semidirect
152. #2625C22semidirect
153. #2625C22semidirect
155. #2623C22semidirect
156. #2623C22semidirect
158. #2622C22semidirect
159. #2621C22semidirect
160. #2621C22semidirect
161. #2621C22semidirect
163. #2620C22semidirect
164. #2618C22semidirect
165. #2616C22semidirect
166. #2614C22semidirect
167. #2614C22semidirect
168. #2599C22semidirect
169. #2599C22semidirect
170. #2592C22semidirect
171. #2592C22semidirect
172. #2584C22semidirect
173. #2584C22semidirect
174. #2583C22semidirect
175. #2583C22semidirect
176. #2582C22semidirect
177. #2579C22semidirect
178. #2579C22semidirect
179. #2567C22semidirect
180. #2566C22semidirect
181. #2565C22semidirect
182. #2565C22semidirect
183. #2563C22semidirect
184. #2561C22semidirect
185. #2561C22semidirect
186. #2552C22semidirect
187. #2551C22semidirect
188. #2550C22semidirect
189. #2550C22semidirect
190. #2549C22semidirect
191. #2549C22semidirect
192. #2547C22semidirect
193. #2546C22semidirect
194. #2545C22semidirect
195. #2538C22semidirect
196. #2504C22semidirect
197. #2502C22semidirect
199. #2499C22semidirect
200. #2499C22semidirect
201. #2492C22semidirect
202. #2491C22semidirect
203. #2490C22semidirect
204. #2489C22semidirect
205. #2488C22semidirect
206. #2488C22semidirect
207. #2486C22semidirect
208. #2486C22semidirect
210. #2485C22semidirect
211. #2483C22semidirect
212. #2472C22semidirect
213. #2472C22semidirect
214. #2454C22semidirect
215. #2453C22semidirect
216. #2452C22semidirect
217. #2451C22semidirect
218. #2450C22semidirect
219. #2450C22semidirect
220. #2449C22semidirect
221. #2449C22semidirect
222. #2447C22semidirect
223. #2447C22semidirect
227. #2444C22semidirect
229. #2443C22semidirect
230. #2442C22semidirect
231. #2441C22semidirect
232. #2440C22semidirect
233. #2440C22semidirect
234. #2440C22semidirect
235. #2439C22semidirect
236. #2438C22semidirect
237. #2438C22semidirect
238. #2437C22semidirect
239. #2437C22semidirect
240. #2436C22semidirect
241. #2434C22semidirect
242. #2432C22semidirect
244. #2422C22semidirect
246. #2420C22semidirect
247. #2419C22semidirect
248. #2419C22semidirect
251. #2417C22semidirect
252. #2417C22semidirect
253. #2415C22semidirect
254. #2413C22semidirect
255. #2413C22semidirect
257. #2412C22semidirect
258. #2409C22semidirect
259. #2409C22semidirect
261. #2399C22semidirect
262. #2399C22semidirect
263. #2398C22semidirect
264. #2398C22semidirect
265. #2396C22semidirect
266. #2396C22semidirect
268. #2395C22semidirect
269. C2×#398C22semidirect
270. C2×#398C22semidirect
271. C2×#397C22semidirect
272. C2×#397C22semidirect
273. C2×#396C22semidirect
274. C2×#395C22semidirect
276. C2×#393C22semidirect
277. #2354C22semidirect
278. #2352C22semidirect
284. #2345C22semidirect
285. #2342C22semidirect
291. #2319C22semidirect
292. #2319C22semidirect
293. #2318C22semidirect
294. #2318C22semidirect
295. #2285C22semidirect
296. #2283C22semidirect
297. #2280C22semidirect
298. C2×#380C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35132
C2×#35012
#426822
#426782
#426442
#424852
#424812
#424422
#424392
#424232
#414122
#414082
#405952
#405912
#405162
#405132
#405112
#404872
#376332
#376222
#375452
#374492
#374422
#374412
#366992
C2×#28142
#359502
#359392
#359282
#358472
#358062
#357912
#357762
#357132
#341942