Finite Group Databasebeta

← #7658941

Subgroups — #7658941

Order 512.

6506 conjugacy classes of subgroups.

The subgroup lattice has 1879 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3510C211yesmaximal, characteristic, complemented
2C2×#3515C211yesmaximal, characteristic, complemented
3#42314C212yesmaximal, complemented
4#42302C212yesmaximal, complemented
5#42301C214yesmaximal, complemented
6#42295C212yesmaximal, complemented
7#42174C212yesmaximal, complemented
8#42157C212yesmaximal, complemented
9#41988C212yesmaximal, complemented
10#41948C212yesmaximal, complemented
11#41933C212yesmaximal, complemented
12#41424C212yesmaximal, complemented
13#41421C212yesmaximal, complemented
14#41412C212yesmaximal, complemented
15#41409C212yesmaximal, complemented
16#40530C214yesmaximal, complemented
17#40519C214yesmaximal, complemented
18#37608C211yesmaximal, characteristic, complemented
19#37607C211yesmaximal, characteristic, complemented
20#37606C211yesmaximal, characteristic, complemented
21#37555C211yesmaximal, characteristic, complemented
22#37555C211yesmaximal, characteristic, complemented
23#37549C211yesmaximal, characteristic, complemented
24#37541C211yesmaximal, characteristic, complemented
25#37541C211yesmaximal, characteristic, complemented
26#37540C211yesmaximal, characteristic, complemented
27#36699C211yesmaximal, characteristic, complemented
28#36684C211yesmaximal, characteristic, complemented
29C2×#2820C211yesmaximal, characteristic, complemented
30#36086C212yesmaximal, complemented
31#36061C212yesmaximal, complemented
32#35850C212yesmaximal, complemented
33#35822C214yesmaximal, complemented
34#35753C212yesmaximal, complemented
35#34191C211yesmaximal, characteristic, complemented
36#3515—216no—
37#3510—216no—
38C2×#559C2212yes—
39C2×#559C2212yes—
40C2×#557C2211yescharacteristic, complemented
41C2×#556C2212yes—
42C2×#556C2212yes—
43C2×#554C2211yescharacteristic
44C2×#554C2211yescharacteristic, complemented
45C2×#553C2211yescharacteristic
46C2×#553C2211yescharacteristic, complemented
47C2×#552C2212yes—
48C2×#552C2211yescharacteristic
49C2×#552C2212yescomplemented
50C2×#552C2212yescomplemented
51C2×#552C2211yescharacteristic, complemented
52C2×#551C2212yes—
53C2×#551C2212yes—
54C2×#551C2212yes—
55C2×#551C2212yes—
56C2×#547C2212yes—
57C2×#547C2211yescharacteristic
58C2×#542C2211yescharacteristic
59C2×#542C2211yescharacteristic
60C2×#542C2211yescharacteristic
61C2×#542C2211yescharacteristic
62C2×#541C2212yescomplemented
63C2×#539C2212yes—
64C2×#539C2212yescomplemented
65C2×#536C2211yescharacteristic
66C2×#535C2211yescharacteristic
67C2×#533C2211yescharacteristic
68C2×#533C2211yescharacteristic, complemented
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#529C2211yescharacteristic
73C2×#529C2211yescharacteristic
74C2×#529C2211yescharacteristic, complemented
75C2×#529C2211yescharacteristic, complemented
76C22×#125C2211yescharacteristic
77C22×#125C2211yescharacteristic, complemented
78C22×#124C2211yescharacteristic
79C2×#520C2212yes—
80C2×#519C2211yescharacteristic
81C2×#518C2211yescharacteristic
82C2×C4×#41C2211yescharacteristic
83#2823C2214yescomplemented
84#2822C2211yescharacteristic, complemented
85#2822C2211yescharacteristic, complemented
86#2822C2211yescharacteristic, complemented
87#2822C2211yescharacteristic, complemented
88#2822C2211yescharacteristic, complemented
89#2822C2211yescharacteristic, complemented
90#2821C2212yescomplemented
91#2821C2212yescomplemented
92#2820C2212yes—
93#2820C2214yes—
94#2820C2212yes—
95#2820C2211yescharacteristic
96#2820C2211yescharacteristic
97#2820C2211yescharacteristic
98#2820C2212yes—
99#2820C2212yes—
100#2820C2211yescharacteristic
101#2820C2211yescharacteristic
102#2820C2211yescharacteristic
103#2820C2211yescharacteristic, complemented
104#2820C2211yescharacteristic, complemented
105#2819C2211yescharacteristic
106#2819C2211yescharacteristic
107#2817C2212yescomplemented
108#2816C2212yes—
109#2814C2212yescomplemented
110#2814C2214yescomplemented
111#2814C2212yescomplemented
112#2813C2212yes—
113#2813C2212yescomplemented
114#2734C2214yescomplemented
115#2731C2214yes—
116#2730C2214yes—
117#2729C2214yescomplemented
118#2725C2214yescomplemented
119#2723C2214yescomplemented
120#2721C2214yescomplemented
121#2717C2214yescomplemented
122#2715C2214yescomplemented
123#2710C2214yescomplemented
124#2709C2214yes—
125#2706C2214yescomplemented
126#2704C2214yescomplemented
127#2702C2214yescomplemented
128#2700C2214yescomplemented
129#2695C2214yescomplemented
130#2693C2214yescomplemented
131#2692C2214yescomplemented
132#2690C2214yescomplemented
133#2686C2214yescomplemented
134#2683C2214yescomplemented
135#2680C2214yescomplemented
136#2673C2214yes—
137#2672C2214yescomplemented
138#2664C2212yescomplemented
139#2664C2212yescomplemented
140#2664C2214yescomplemented
141#2663C2212yescomplemented
142#2663C2212yescomplemented
143#2662C2214yes—
144#2661C2212yes—
145#2661C2212yescomplemented
146#2660C2212yescomplemented
147#2659C2212yes—
148#2659C2212yescomplemented
149#2642C2212yescomplemented
150#2639C2212yes—
151#2639C2212yes—
152#2638C2212yescomplemented
153#2638C2212yescomplemented
154#2637C2214yescomplemented
155#2637C2214yescomplemented
156#2637C2212yescomplemented
157#2637C2212yescomplemented
158#2636C2212yes—
159#2636C2212yescomplemented
160#2635C2212yes—
161#2635C2212yescomplemented
162#2634C2212yescomplemented
163#2634C2212yescomplemented
164#2634C2212yescomplemented
165#2633C2212yes—
166#2632C2212yes—
167#2631C2212yes—
168#2630C2214yescomplemented
169#2630C2214yescomplemented
170#2629C2214yescomplemented
171#2628C2212yescomplemented
172#2628C2212yescomplemented
173#2627C2214yes—
174#2627C2212yescomplemented
175#2623C2212yescomplemented
176#2623C2212yescomplemented
177#2621C2212yescomplemented
178#2621C2212yescomplemented
179#2618C2212yes—
180#2618C2214yescomplemented
181#2614C2212yes—
182#2613C2212yes—
183#2611C2212yescomplemented
184#2611C2212yescomplemented
185#2610C2212yes—
186#2610C2212yes—
187#2609C2214yescomplemented
188#2604C2212yescomplemented
189#2604C2212yescomplemented
190#2603C2212yes—
191#2603C2212yescomplemented
192#2601C2214yescomplemented
193#2601C2214yescomplemented
194#2599C2212yescomplemented
195#2599C2212yescomplemented
196#2598C2212yes—
197#2598C2212yescomplemented
198#2591C2212yes—
199#2584C2212yescomplemented
200#2583C2212yescomplemented
201#2581C2212yescomplemented
202#2581C2212yescomplemented
203#2579C2214yescomplemented
204#2565C2214yescomplemented
205#2564C2212yescomplemented
206#2564C2212yescomplemented
207#2562C2212yes—
208#2561C2212yes—
209#2560C2214yescomplemented
210#2557C2214yescomplemented
211#2556C2214yescomplemented
212#2553C2214yescomplemented
213#2543C2212yes—
214#2543C2212yescomplemented
215#2539C2212yes—
216#2536C2212yes—
217#2536C2212yescomplemented
218#2534C2214yes—
219#2534C2214yes—
220#2521C2214yescomplemented
221#2519C2214yescomplemented
222#2512C2214yescomplemented
223#2503C2212yes—
224#2502C2212yes—
225#2498C2212yes—
226#2498C2212yes—
227#2498C2212yescomplemented
228#2498C2212yescomplemented
229#2487C2212yescomplemented
230#2486C2214yes—
231#2486C2212yescomplemented
232#2484C2212yes—
233#2484C2212yes—
234#2481C2214yescomplemented
235#2474C2214yescomplemented
236#2470C2214yescomplemented
237#2469C2214yescomplemented
238#2469C2214yescomplemented
239#2467C2214yes—
240#2465C2214yescomplemented
241#2465C2214yescomplemented
242#2463C2214yes—
243#2462C2214yescomplemented
244#2462C2214yescomplemented
245#2461C2214yescomplemented
246#2460C2214yes—
247#2460C2214yes—
248#2457C2214yescomplemented
249#2449C2214yescomplemented
250#2438C2214yes—
251#2437C2214yes—
252#2425C2214yes—
253#2424C2214yes—
254#2422C2214yescomplemented
255#2419C2214yes—
256#2418C2214yes—
257#2417C2214yes—
258#2417C2214yescomplemented
259#2413C2214yes—
260#2413C2214yescomplemented
261#2412C2214yes—
262#2406C2214yes—
263#2404C2214yes—
264#2399C2212yescomplemented
265#2398C2212yes—
266#2396C2214yescomplemented
267#2396C2212yescomplemented
268#2396C2212yescomplemented
269#2395C2212yescomplemented
270#2395C2212yescomplemented
271C2×#399C2212yes—
272#2392C2212yes—
273#2392C2212yescomplemented
274#2392C2214yescomplemented
275C2×#397C2212yes—
276C2×#396C2214yes—
277C2×#395C2212yes—
278C2×#394C2212yes—
279#2359C2214yes—
280#2358C2214yes—
281#2355C2212yescomplemented
282#2352C2212yes—
283#2352C2212yescomplemented
284D4×C4⋊C4C2212yes—
285#2346C2212yescomplemented
286#2344C2214yes—
287#2343C2212yes—
288#2343C2212yescomplemented
289#2342C2214yes—
290#2339C2212yes—
291#2320C2212yescomplemented
292#2318C2212yes—
293#2318C2212yescomplemented
294#2285C2211yescharacteristic, complemented
295#2283C2211yescharacteristic
296#2283C2211yescharacteristic, complemented
297#2283C2211yescharacteristic, complemented
298C2×#382C2211yescharacteristic
299C2×#382C2211yescharacteristic, complemented
300#2275C2212yes—
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304C23×D4C2311yescharacteristic
305#559—216no—
306#559—216no—
307#557—28no—
308#556—216no—
309#556—216no—
310#554—28no—
311#554—28no—
312#553—28no—
313#553—28no—
314#552—28no—
315#552—28no—
316#552—216no—
317#552—216no—
318#552—216no—
319#551—216no—
320#551—216no—
321#551—216no—
322#551—216no—
323#547—216no—
324#547—28no—
325#542—28no—
326#542—28no—
327#542—28no—
328#542—28no—
329#541—216no—
330#539—216no—
331#539—216no—
332#536—28no—
333#535—28no—
334#533—28no—
335#533—28no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×#127C2312yes—
343#529—28no—
344#529—28no—
345#529—28no—
346#529—28no—
347#529—28no—
348#529—28no—
349#529—28no—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#125—28no—
366C2×#125—28no—
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2311yescharacteristic
370C2×#125C2311yescharacteristic
371C2×#125C2311yescharacteristic
372C2×#125C2311yescharacteristic
373C2×#125C2311yescharacteristic
374C2×#125C2312yes—
375C2×#125C2311yescharacteristic
376C2×#125C2311yescharacteristic
377C2×#125C2311yescharacteristic
378C2×#125C2311yescharacteristic
379C2×#125C2312yes—
380C2×#125C2312yes—
381C2×#125C2312yes—
382C2×#125C2312yes—
383C2×#125C2312yes—
384C2×#125C2312yes—
385C2×#124—28no—
386C2×#124C2311yescharacteristic
387C2×#124C2311yescharacteristic
388C2×#124C2311yescharacteristic
389C2×#124C2311yescharacteristic
390C2×#124C2311yescharacteristic
391C2×#124C2312yes—
392C2×#124C2312yes—
393C2×#124C2312yes—
394C2×#124C2312yes—
395C2×#124C2312yes—
396C2×#124C2312yes—
397C2×#124C2312yes—
398C2×#124C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2314yes—
419C2×#123C2314yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2314yes—
442C2×C22⋊Q8C2314yes—
443C2×#121C2311yescharacteristic
444C2×#121C2311yescharacteristic
445C2×#121C2311yescharacteristic
446C2×#121C2311yescharacteristic
447C2×#121C2311yescharacteristic
448C2×#121C2311yescharacteristic
449C2×#121C2311yescharacteristic
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2314yes—
453C2×#120C2312yes—
454C2×#120C2312yes—
455C2×#120C2314yes—
456#520—216no—
457#519—28no—
458#518—28no—
459C4×#41D4116yescomplemented
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2312yes—
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2312yes—
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2314yes—
496C2×C4×D4C2314yes—
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2312yes—
512C2×#117C2311yescharacteristic
513C2×#117C2311yescharacteristic
514C2×#117C2311yescharacteristic
515C2×#117C2312yes—
516C2×#117C2311yescharacteristic
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2311yescharacteristic
520C2×#117C2311yescharacteristic
521C2×#117C2311yescharacteristic
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2312yes—
524C22×C4⋊C4C2311yescharacteristic
525C22×C4⋊C4C2311yescharacteristic
526C22×C4⋊C4C2312yes—
527C22×C4⋊C4C2312yes—
528C22×C4⋊C4C2311yescharacteristic
529C22×C4⋊C4C2311yescharacteristic
530C22×C4⋊C4C2312yes—
531C22×C4⋊C4C2314yes—
532C22×C4⋊C4C2312yes—
533C22×C4⋊C4C2312yes—
534C22×C22⋊C4C2312yes—
535C22×C22⋊C4C2312yes—
536C22×C22⋊C4C2312yes—
537C22×C22⋊C4C2312yes—
538C22×C22⋊C4C2314yes—
539C22×C22⋊C4C2314yes—
540C22×C42C2311yescharacteristic
541C22×C42C2311yescharacteristic
542C22×C42C2311yescharacteristic
543#400C2312yes—
544#400C2314yes—
545#400C2312yes—
546#400C2312yes—
547#400C2312yes—
548#400C2312yes—
549#400C2312yes—
550#400C2312yes—
551#400C2312yes—
552#400C2312yes—
553#400C2312yes—
554#400C2312yes—
555#400C2312yes—
556#400C2314yes—
557#400C2314yes—
558#400C2314yes—
559#399C2314yes—
560#399C2312yes—
561#399C2312yes—
562#399C2312yes—
563#399C2312yes—
564#399C2312yes—
565#399C2314yes—
566#399C2314yes—
567#399C2312yes—
568#399C2312yes—
569#399C2312yes—
570#399C2314yes—
571#398C2314yes—
572#398C2312yes—
573#398C2312yes—
574#398C2314yes—
575#398C2314yes—
576#398C2314yes—
577#398C2314yes—
578#398C2312yes—
579#398C2312yes—
580#398C2314yes—
581#398C2314yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2314yes—
589#398C2312yes—
590#398C2312yes—
591#398C2314yes—
592#398C2314yes—
593#398C2314yes—
594#398C2314yes—
595#398C2314yes—
596#398C2314yes—
597#398C2314yes—
598#397C2314yes—
599#397C2312yes—
600#397C2312yes—
601#397C2314yes—
602#397C2314yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2314yes—
608#397C2312yes—
609#397C2312yes—
610#397C2314yes—
611#397C2314yes—
612#397C2314yes—
613#397C2314yes—
614#397C2314yes—
615#397C2314yes—
616#397C2314yes—
617#396C2314yes—
618#396C2314yes—
619#396C2314yes—
620#396C2314yes—
621#396C2314yes—
622#396C2314yes—
623#396C2314yes—
624#396C2314yes—
625#396C2314yes—
626#396C2314yes—
627#396C2314yes—
628#396C2314yes—
629#396C2314yes—
630#396C2314yes—
631#396C2314yes—
632#396C2314yes—
633#396C2314yes—
634#396C2314yes—
635#396C2314yes—
636#396C2314yes—
637#395C2312yes—
638#395C2312yes—
639#395C2314yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2314yes—
645#395C2314yes—
646#395C2312yes—
647#395C2312yes—
648#395C2314yes—
649#395C2314yes—
650#395C2314yes—
651#395C2314yes—
652#395C2314yes—
653#395C2314yes—
654#394C2314yes—
655#394C2312yes—
656#394C2312yes—
657#394C2314yes—
658#394C2314yes—
659#394C2312yes—
660#394C2312yes—
661#394C2314yes—
662#394C2314yes—
663#394C2312yes—
664#394C2312yes—
665#394C2314yes—
666#394C2314yes—
667#394C2312yes—
668#394C2312yes—
669#394C2314yes—
670#394C2314yes—
671#394C2314yes—
672#394C2314yes—
673#394C2314yes—
674#394C2314yes—
675#394C2314yes—
676#394C2314yes—
677#394C2314yes—
678#393C2314yes—
679#393C2314yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2314yes—
685#393C2314yes—
686#393C2314yes—
687#392C2312yes—
688#392C2312yes—
689#392C2312yes—
690#392C2312yes—
691#392C2314yes—
692#392C2314yes—
693#392C2314yes—
694#392C2314yes—
695#391C2314yes—
696#391C2314yes—
697#391C2314yes—
698#391C2314yes—
699#391C2314yes—
700#390C2314yes—
701#390C2314yes—
702#390C2314yes—
703#390C2314yes—
704#389C2314yes—
705#389C2314yes—
706#389C2314yes—
707#389C2314yes—
708#389C2314yes—
709#389C2314yes—
710#389C2314yes—
711#389C2314yes—
712#389C2314yes—
713#389C2314yes—
714#389C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#387C2314yes—
757#387C2314yes—
758#387C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#384C2314yes—
794#384C2312yes—
795#383C2312yes—
796#383C2312yes—
797#383C2312yes—
798#382C2311yescharacteristic
799#382C2311yescharacteristic
800#382C2311yescharacteristic
801#382C2311yescharacteristic
802#382C2312yes—
803#382C2312yes—
804#382C2312yes—
805#382C2314yes—
806#382C2312yes—
807#382C2312yes—
808#382C2312yes—
809#381C2312yes—
810#381C2314yes—
811#381C2312yes—
812#381C2312yes—
813#381C2314yes—
814#381C2314yes—
815#381C2314yes—
816#380C2314yes—
817#380C2314yes—
818#380C2314yes—
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2314yes—
823#380C2314yes—
824#380C2312yes—
825#380C2312yes—
826#380C2314yes—
827#380C2314yes—
828#380C2314yes—
829#380C2314yes—
830#379C2314yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2314yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849#376C2312yes—
850#376C2312yes—
851#376C2312yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C2×#95C2312yes—
855C2×#95C2312yes—
856C2×#95C2314yes—
857C25C2412yes—
858C2×#41—28no—
859C2×#41—44no—
860C2×#41—48no—
861C2×#41C2×D418yes—
862C22×Q8—24no—
863C22×Q8—44no—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2411yescharacteristic
873C22×D4—24no—
874C22×D4—44no—
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2414yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C4⋊Q8—28no—
915C4⋊Q8—28no—
916C4⋊Q8—24no—
917C4⋊Q8—24no—
918C4⋊Q8—24no—
919C4⋊Q8—24no—
920#127—28no—
921#126—28no—
922#126—28no—
923#126—28no—
924#126—28no—
925#126—28no—
926#126—28no—
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#125—28no—
937#125—28no—
938#125—28no—
939#125—28no—
940#125—28no—
941#125—24no—
942#125—24no—
943#125—24no—
944#125—28no—
945#125—28no—
946#125—28no—
947#125—28no—
948#125—24no—
949#125—24no—
950#125—24no—
951#125—24no—
952#125—24no—
953#125—24no—
954#124—28no—
955#124—28no—
956#124—28no—
957#124—28no—
958#124—28no—
959#124—28no—
960#124—24no—
961#124—24no—
962#124—24no—
963#124—24no—
964#124—28no—
965#124—28no—
966#124—24no—
967#123—28no—
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—28no—
985#123—28no—
986#123—48no—
987#123—84no—
988C22⋊Q8—28no—
989C22⋊Q8—24no—
990C22⋊Q8—24no—
991C22⋊Q8—24no—
992C22⋊Q8—24no—
993C22⋊Q8—24no—
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—84no—
1010C22⋊Q8—84no—
1011#121—28no—
1012#121—28no—
1013#121—24no—
1014#121—24no—
1015#121—24no—
1016#121—24no—
1017#121—24no—
1018#121—24no—
1019#121—24no—
1020#121—84no—
1021#120—28no—
1022#120—28no—
1023#120—48no—
1024C4×Q8—28no—
1025C4×Q8—28no—
1026C4×Q8—28no—
1027C4×Q8—24no—
1028C4×Q8—24no—
1029C4×Q8—24no—
1030C4×Q8—24no—
1031C4×Q8—28no—
1032C4×Q8—24no—
1033C4×Q8—24no—
1034C4×Q8—24no—
1035C4×Q8—28no—
1036C4×Q8—28no—
1037C4×Q8—28no—
1038C4×Q8C2×D418yes—
1039C4×Q8C2×D418yes—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—24no—
1053C4×D4—24no—
1054C4×D4—24no—
1055C4×D4—24no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4—24no—
1059C4×D4—48no—
1060C4×D4—84no—
1061C4×D4C2×D418yes—
1062C4×D4C2×D418yes—
1063C4×D4C2×D418yes—
1064C4×D4C2×D418yes—
1065C4×D4C2×D418yes—
1066C4×D4C2×D418yes—
1067#117—24no—
1068#117—24no—
1069#117—24no—
1070#117—24no—
1071#117—28no—
1072#117—28no—
1073#117—28no—
1074#117—28no—
1075#117—28no—
1076#117—28no—
1077#117—28no—
1078#117—28no—
1079#117—28no—
1080#117—28no—
1081#117—28no—
1082#117—82no—
1083#117C2×D418yes—
1084#117C2×D418yes—
1085#117C2×D418yes—
1086C2×C4⋊C4—28no—
1087C2×C4⋊C4—28no—
1088C2×C4⋊C4—24no—
1089C2×C4⋊C4—24no—
1090C2×C4⋊C4—28no—
1091C2×C4⋊C4—28no—
1092C2×C4⋊C4—24no—
1093C2×C4⋊C4—24no—
1094C2×C4⋊C4—28no—
1095C2×C4⋊C4—48no—
1096C2×C4⋊C4—82no—
1097C2×C4⋊C4—82no—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊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⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2411yescharacteristic
1171C2×C4⋊C4C2411yescharacteristic
1172C2×C4⋊C4C2411yescharacteristic
1173C2×C4⋊C4C2411yescharacteristic
1174C2×C4⋊C4C2411yescharacteristic
1175C2×C4⋊C4C2411yescharacteristic
1176C2×C22⋊C4—28no—
1177C2×C22⋊C4—28no—
1178C2×C22⋊C4—28no—
1179C2×C22⋊C4—28no—
1180C2×C22⋊C4—48no—
1181C2×C22⋊C4—84no—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2411yescharacteristic
1242C2×C22⋊C4C2411yescharacteristic
1243C2×C22⋊C4C2411yescharacteristic
1244C2×C22⋊C4C2411yescharacteristic
1245C2×C22⋊C4C2411yescharacteristic
1246C2×C22⋊C4C2411yescharacteristic
1247C2×C42C2×D418yes—
1248C2×C42C2×D418yes—
1249C2×C42C2×D418yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2414yes—
1262C2×C42C2414yes—
1263C2×C42C2414yes—
1264C2×C42C2414yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268C2×C42C2411yescharacteristic
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271C2×C42C2411yescharacteristic
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2411yescharacteristic
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
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—
1321C24—24no—
1322C24—28no—
1323C24—42no—
1324C24—42no—
1325C24—44no—
1326C24C2512yes—
1327C24C2512yes—
1328C24C2512yes—
1329C24C2511yescharacteristic
1330C24C2511yescharacteristic
1331C24C2511yescharacteristic
1332#41—416no—
1333#41—432no—
1334C2×Q8—22no—
1335C2×Q8—22no—
1336C2×Q8—22no—
1337C2×Q8—24no—
1338C2×Q8—24no—
1339C2×Q8—24no—
1340C2×Q8—24no—
1341C2×Q8—24no—
1342C2×Q8—42no—
1343C2×Q8—42no—
1344C2×Q8—44no—
1345C2×Q8—42no—
1346C2×Q8—42no—
1347C2×Q8—44no—
1348C2×Q8—42no—
1349C2×Q8—42no—
1350C2×Q8—44no—
1351C2×Q8—42no—
1352C2×Q8—42no—
1353C2×Q8—416no—
1354C2×Q8C22×D414yes—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—28no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—24no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—44no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—416no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4C22×D414yes—
1391C2×D4C22×D414yes—
1392C2×D4C22×D414yes—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—28no—
1398C22×C4—28no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—28no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—41no—
1415C22×C4—42no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—42no—
1423C22×C4—44no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—44no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
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×C4C2514yes—
1451C22×C4C2514yes—
1452C22×C4C2514yes—
1453C22×C4C2512yes—
1454C22×C4C2514yes—
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2512yes—
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2511yescharacteristic
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2511yescharacteristic
1477C22×C4C2511yescharacteristic
1478C22×C4C2511yescharacteristic
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
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—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
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—24no—
1520C4⋊C4—24no—
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—44no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—42no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—42no—
1540C4⋊C4—44no—
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⋊C4C22×D414yes—
1552C4⋊C4C22×D414yes—
1553C4⋊C4C22×D414yes—
1554C4⋊C4C22×D414yes—
1555C4⋊C4C22×D414yes—
1556C4⋊C4C22×D414yes—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—28no—
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—24no—
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—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
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⋊C4C22×D414yes—
1617C22⋊C4C22×D414yes—
1618C22⋊C4C22×D414yes—
1619C22⋊C4C22×D414yes—
1620C22⋊C4C22×D414yes—
1621C22⋊C4C22×D414yes—
1622C42—24no—
1623C42—24no—
1624C42—24no—
1625C42—24no—
1626C42—24no—
1627C42—24no—
1628C42—24no—
1629C42—24no—
1630C42—24no—
1631C42—24no—
1632C42—24no—
1633C42—44no—
1634C42—44no—
1635C42—44no—
1636C42—44no—
1637C42C22×D414yes—
1638C42C22×D414yes—
1639C42C22×D414yes—
1640C42C22×D414yes—
1641C42C22×D414yes—
1642C42C22×D414yes—
1643C42C22×D414yes—
1644C42C22×D414yes—
1645C42C22×D414yes—
1646C42C22×D414yes—
1647C23—21no—
1648C23—22no—
1649C23—21no—
1650C23—22no—
1651C23—22no—
1652C23—21no—
1653C23—21no—
1654C23—22no—
1655C23—21no—
1656C23—22no—
1657C23—21no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—24no—
1662C23—24no—
1663C23—24no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—24no—
1669C23—24no—
1670C23—24no—
1671C23—22no—
1672C23—22no—
1673C23—48no—
1674C23—88no—
1675C23—88no—
1676C23—84no—
1677C23—84no—
1678C23C23×D412yes—
1679C23C23×D412yes—
1680C23C23×D412yes—
1681C23#58514yes—
1682C23C2611yescharacteristic
1683Q8—44no—
1684Q8—44no—
1685Q8—44no—
1686Q8—44no—
1687Q8—48no—
1688Q8—48no—
1689Q8—84no—
1690Q8—84no—
1691Q8—84no—
1692D4—28no—
1693D4—28no—
1694D4—44no—
1695D4—44no—
1696D4—44no—
1697D4—44no—
1698D4—48no—
1699D4—48no—
1700D4—48no—
1701D4—84no—
1702D4—84no—
1703D4—84no—
1704D4—84no—
1705D4—84no—
1706D4—88no—
1707D4—164no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
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—24no—
1740C2×C4—24no—
1741C2×C4—24no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—24no—
1746C2×C4—24no—
1747C2×C4—24no—
1748C2×C4—24no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—24no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—24no—
1757C2×C4—24no—
1758C2×C4—24no—
1759C2×C4—24no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—24no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—44no—
1769C2×C4—44no—
1770C2×C4—44no—
1771C2×C4—44no—
1772C2×C4—44no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—48no—
1777C2×C4—48no—
1778C2×C4—48no—
1779C2×C4—48no—
1780C2×C4—84no—
1781C2×C4—84no—
1782C2×C4—84no—
1783C2×C4—84no—
1784C2×C4—84no—
1785C2×C4—84no—
1786C2×C4—88no—
1787C2×C4—84no—
1788C2×C4—84no—
1789C2×C4—164no—
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—
1802C22—24no—
1803C22—24no—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—44no—
1817C22—44no—
1818C22—44no—
1819C22—44no—
1820C22—44no—
1821C22—44no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—168no—
1832C22#344914yes—
1833C22C24×D411yescharacteristic
1834C22C2×#58512yes—
1835C22H(7,𝔽2)11yescharacteristic
1836C222−1+612yes—
1837C222−1+611yescharacteristic
1838C4—22no—
1839C4—22no—
1840C4—22no—
1841C4—22no—
1842C4—22no—
1843C4—22no—
1844C4—22no—
1845C4—22no—
1846C4—22no—
1847C4—22no—
1848C4—22no—
1849C4—22no—
1850C4—44no—
1851C4—44no—
1852C4—44no—
1853C4—44no—
1854C4—42no—
1855C4—42no—
1856C4—42no—
1857C4—42no—
1858C4—42no—
1859C4—42no—
1860C4—42no—
1861C4—42no—
1862C4—42no—
1863C4—42no—
1864C4—42no—
1865C4—42no—
1866C4—42no—
1867C2—24no—
1868C2—42no—
1869C2—42no—
1870C2—82no—
1871C2—82no—
1872C2—82no—
1873C2C2×#344911yescharacteristic
1874C2#6285311yescharacteristic
1875C2#6285911yescharacteristic
1876C2#6305012yes—
1877C2#6306412yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3510C2semidirect
2. C2×#3515C2semidirect
3. #42314C2semidirect
4. #42302C2semidirect
5. #42301C2semidirect
6. #42295C2semidirect
7. #42174C2semidirect
8. #42157C2semidirect
9. #41988C2semidirect
10. #41948C2semidirect
11. #41933C2semidirect
12. #41424C2semidirect
13. #41421C2semidirect
14. #41412C2semidirect
15. #41409C2semidirect
16. #40530C2semidirect
17. #40519C2semidirect
18. #37608C2semidirect
19. #37607C2semidirect
20. #37606C2semidirect
21. #37555C2semidirect
22. #37555C2semidirect
23. #37549C2semidirect
24. #37541C2semidirect
25. #37541C2semidirect
26. #37540C2semidirect
27. #36699C2semidirect
28. #36684C2semidirect
29. C2×#2820C2semidirect
30. #36086C2semidirect
31. #36061C2semidirect
32. #35850C2semidirect
33. #35822C2semidirect
34. #35753C2semidirect
35. #34191C2semidirect
40. C2×#557C22semidirect
44. C2×#554C22semidirect
46. C2×#553C22semidirect
49. C2×#552C22semidirect
50. C2×#552C22semidirect
51. C2×#552C22semidirect
62. C2×#541C22semidirect
64. C2×#539C22semidirect
68. C2×#533C22semidirect
74. C2×#529C22semidirect
75. C2×#529C22semidirect
77. C22×#125C22semidirect
83. #2823C22semidirect
84. #2822C22semidirect
85. #2822C22semidirect
86. #2822C22semidirect
87. #2822C22semidirect
88. #2822C22semidirect
89. #2822C22semidirect
90. #2821C22semidirect
91. #2821C22semidirect
103. #2820C22semidirect
104. #2820C22semidirect
107. #2817C22semidirect
109. #2814C22semidirect
110. #2814C22semidirect
111. #2814C22semidirect
113. #2813C22semidirect
114. #2734C22semidirect
117. #2729C22semidirect
118. #2725C22semidirect
119. #2723C22semidirect
120. #2721C22semidirect
121. #2717C22semidirect
122. #2715C22semidirect
123. #2710C22semidirect
125. #2706C22semidirect
126. #2704C22semidirect
127. #2702C22semidirect
128. #2700C22semidirect
129. #2695C22semidirect
130. #2693C22semidirect
131. #2692C22semidirect
132. #2690C22semidirect
133. #2686C22semidirect
134. #2683C22semidirect
135. #2680C22semidirect
137. #2672C22semidirect
138. #2664C22semidirect
139. #2664C22semidirect
140. #2664C22semidirect
141. #2663C22semidirect
142. #2663C22semidirect
145. #2661C22semidirect
146. #2660C22semidirect
148. #2659C22semidirect
149. #2642C22semidirect
152. #2638C22semidirect
153. #2638C22semidirect
154. #2637C22semidirect
155. #2637C22semidirect
156. #2637C22semidirect
157. #2637C22semidirect
159. #2636C22semidirect
161. #2635C22semidirect
162. #2634C22semidirect
163. #2634C22semidirect
164. #2634C22semidirect
168. #2630C22semidirect
169. #2630C22semidirect
170. #2629C22semidirect
171. #2628C22semidirect
172. #2628C22semidirect
174. #2627C22semidirect
175. #2623C22semidirect
176. #2623C22semidirect
177. #2621C22semidirect
178. #2621C22semidirect
180. #2618C22semidirect
183. #2611C22semidirect
184. #2611C22semidirect
187. #2609C22semidirect
188. #2604C22semidirect
189. #2604C22semidirect
191. #2603C22semidirect
192. #2601C22semidirect
193. #2601C22semidirect
194. #2599C22semidirect
195. #2599C22semidirect
197. #2598C22semidirect
199. #2584C22semidirect
200. #2583C22semidirect
201. #2581C22semidirect
202. #2581C22semidirect
203. #2579C22semidirect
204. #2565C22semidirect
205. #2564C22semidirect
206. #2564C22semidirect
209. #2560C22semidirect
210. #2557C22semidirect
211. #2556C22semidirect
212. #2553C22semidirect
214. #2543C22semidirect
217. #2536C22semidirect
220. #2521C22semidirect
221. #2519C22semidirect
222. #2512C22semidirect
227. #2498C22semidirect
228. #2498C22semidirect
229. #2487C22semidirect
231. #2486C22semidirect
234. #2481C22semidirect
235. #2474C22semidirect
236. #2470C22semidirect
237. #2469C22semidirect
238. #2469C22semidirect
240. #2465C22semidirect
241. #2465C22semidirect
243. #2462C22semidirect
244. #2462C22semidirect
245. #2461C22semidirect
248. #2457C22semidirect
249. #2449C22semidirect
254. #2422C22semidirect
258. #2417C22semidirect
260. #2413C22semidirect
264. #2399C22semidirect
266. #2396C22semidirect
267. #2396C22semidirect
268. #2396C22semidirect
269. #2395C22semidirect
270. #2395C22semidirect
273. #2392C22semidirect
274. #2392C22semidirect
281. #2355C22semidirect
283. #2352C22semidirect
285. #2346C22semidirect
288. #2343C22semidirect
291. #2320C22semidirect
293. #2318C22semidirect
294. #2285C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
299. C2×#382C22semidirect
459. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35102
C2×#35152
#423142
#423022
#423012
#422952
#421742
#421572
#419882
#419482
#419332
#414242
#414212
#414122
#414092
#405302
#405192
#376082
#376072
#376062
#375552
#375492
#375412
#375402
#366992
#366842
C2×#28202
#360862
#360612
#358502
#358222
#357532
#341912