Finite Group Databasebeta

← #7645594

Subgroups — #7645594

Order 512.

6554 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×#3515C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#42306C212yesmaximal, complemented
4#42305C212yesmaximal, complemented
5#42297C212yesmaximal, complemented
6#42295C212yesmaximal, complemented
7#41948C212yesmaximal, complemented
8#41947C212yesmaximal, complemented
9#41939C212yesmaximal, complemented
10#41937C212yesmaximal, complemented
11#39591C212yesmaximal, complemented
12#39590C212yesmaximal, complemented
13#38915C212yesmaximal, complemented
14#38914C212yesmaximal, complemented
15#38043C212yesmaximal, complemented
16#38042C212yesmaximal, complemented
17#38041C212yesmaximal, complemented
18#38040C212yesmaximal, complemented
19#37622C211yesmaximal, characteristic, complemented
20#37560C211yesmaximal, characteristic, complemented
21#37551C211yesmaximal, characteristic, complemented
22#37549C211yesmaximal, characteristic, complemented
23#37191C214yesmaximal, complemented
24#36743C214yesmaximal, complemented
25#35363C214yesmaximal, complemented
26#35335C211yesmaximal, characteristic, complemented
27#35234C211yesmaximal, characteristic, complemented
28#35212C211yesmaximal, characteristic, complemented
29#35173C211yesmaximal, characteristic, complemented
30#35138C211yesmaximal, characteristic, complemented
31#35111C211yesmaximal, characteristic, complemented
32#35008C214yesmaximal, complemented
33#34964C211yesmaximal, characteristic, complemented
34C2×#2584C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36#3515—216no—
37C2×#557C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#553C2211yescharacteristic
41C2×#553C2211yescharacteristic
42C2×#552C2211yescharacteristic
43C2×#552C2212yes—
44C2×#552C2212yes—
45C2×#552C2212yes—
46C2×#552C2211yescharacteristic
47C2×#547C2212yes—
48C2×#547C2211yescharacteristic
49#3461—216no—
50C2×#544C2211yescharacteristic
51C2×#542C2212yes—
52C2×#542C2211yescharacteristic
53C2×#542C2211yescharacteristic
54C2×#541C2212yes—
55C2×#541C2211yescharacteristic
56C2×#541C2211yescharacteristic
57C2×#541C2212yes—
58C2×#539C2212yes—
59C2×#539C2212yes—
60C2×#539C2212yes—
61C2×#539C2212yes—
62C2×#537C2211yescharacteristic
63C2×#536C2211yescharacteristic
64C2×#536C2211yescharacteristic
65C2×#533C2211yescharacteristic
66C2×#533C2211yescharacteristic
67C2×#533C2211yescharacteristic
68C2×#533C2212yes—
69C2×#529C2212yes—
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#529C2211yescharacteristic
73C2×#529C2211yescharacteristic
74C2×#529C2212yes—
75C2×#529C2212yes—
76C2×#529C2211yescharacteristic
77C22×#125C2211yescharacteristic
78C22×#125C2211yescharacteristic
79C2×#520C2212yes—
80C2×C4×#41C2211yescharacteristic
81C2×C4×#41C2211yescharacteristic
82C22×C4×Q8C2211yescharacteristic
83#2860C2214yes—
84#2859C2214yes—
85#2857C2214yes—
86#2855C2212yes—
87#2854C2212yes—
88#2854C2214yes—
89#2851C2212yes—
90#2851C2212yes—
91#2822C2212yes—
92#2821C2212yes—
93#2821C2212yes—
94#2820C2212yes—
95#2817C2212yes—
96#2816C2212yes—
97#2814C2212yes—
98#2814C2212yes—
99#2734C2214yes—
100#2732C2214yes—
101#2729C2214yes—
102#2729C2214yes—
103#2727C2214yes—
104#2726C2214yes—
105#2725C2214yes—
106#2725C2214yes—
107#2723C2214yes—
108#2723C2214yes—
109#2722C2214yes—
110#2721C2214yes—
111#2721C2214yes—
112#2720C2214yes—
113#2720C2214yes—
114#2720C2214yes—
115#2719C2214yes—
116#2719C2214yes—
117#2718C2214yes—
118#2717C2214yes—
119#2715C2214yes—
120#2713C2214yes—
121#2710C2214yes—
122#2708C2214yes—
123#2695C2214yes—
124#2692C2214yes—
125#2689C2214yes—
126#2686C2214yes—
127#2677C2214yes—
128#2674C2214yes—
129#2672C2214yes—
130#2671C2214yes—
131#2664C2212yes—
132#2664C2214yes—
133#2664C2214yes—
134#2663C2212yes—
135#2663C2214yes—
136#2663C2214yes—
137#2662C2212yes—
138#2661C2212yes—
139#2660C2212yes—
140#2660C2212yes—
141#2659C2212yes—
142#2659C2212yes—
143#2638C2212yes—
144#2638C2212yes—
145#2634C2212yes—
146#2634C2212yes—
147#2633C2212yes—
148#2632C2212yes—
149#2629C2212yes—
150#2629C2212yes—
151#2628C2212yes—
152#2628C2212yes—
153#2628C2212yes—
154#2627C2212yes—
155#2625C2212yes—
156#2625C2212yes—
157#2624C2212yes—
158#2624C2212yes—
159#2623C2212yes—
160#2621C2212yes—
161#2618C2212yes—
162#2614C2212yes—
163#2611C2214yes—
164#2611C2214yes—
165#2611C2212yes—
166#2610C2212yes—
167#2604C2214yes—
168#2604C2214yes—
169#2602C2214yes—
170#2601C2214yes—
171#2601C2214yes—
172#2599C2212yes—
173#2599C2212yes—
174#2592C2211yescharacteristic
175#2592C2211yescharacteristic
176#2592C2211yescharacteristic
177#2584C2212yes—
178#2584C2212yes—
179#2584C2211yescharacteristic
180#2584C2211yescharacteristic
181#2584C2211yescharacteristic
182#2584C2211yescharacteristic
183#2584C2212yes—
184#2584C2212yes—
185#2584C2214yes—
186#2584C2211yescharacteristic
187#2584C2212yes—
188#2584C2211yescharacteristic
189#2584C2212yes—
190#2584C2214yes—
191#2584C2211yescharacteristic
192#2584C2211yescharacteristic
193#2584C2211yescharacteristic
194#2583C2214yes—
195#2583C2212yes—
196#2583C2212yes—
197#2582C2212yes—
198#2581C2212yes—
199#2581C2212yes—
200#2580C2212yes—
201#2580C2212yes—
202#2567C2212yes—
203#2567C2212yes—
204#2564C2212yes—
205#2562C2211yescharacteristic
206#2562C2211yescharacteristic
207#2562C2211yescharacteristic
208#2556C2214yes—
209#2556C2214yes—
210#2553C2214yes—
211#2553C2214yes—
212#2546C2212yes—
213#2546C2212yes—
214#2543C2212yes—
215#2540C2211yescharacteristic
216#2538C2212yes—
217#2506C2214yes—
218#2501C2214yes—
219#2498C2212yes—
220#2496C2214yes—
221#2488C2214yes—
222#2488C2214yes—
223#2487C2212yes—
224#2487C2212yes—
225#2486C2212yes—
226#2486C2214yes—
227#2486C2212yes—
228#2485C2212yes—
229#2485C2212yes—
230#2484C2212yes—
231#2478C2214yes—
232#2473C2214yes—
233#2470C2214yes—
234#2466C2214yes—
235#2465C2214yes—
236#2462C2214yes—
237#2455C2214yes—
238#2452C2214yes—
239#2449C2214yes—
240#2449C2214yes—
241#2443C2214yes—
242#2440C2214yes—
243#2438C2214yes—
244#2430C2214yes—
245#2430C2212yes—
246#2425C2214yes—
247#2425C2214yes—
248#2425C2214yes—
249#2422C2214yes—
250#2419C2214yes—
251#2417C2212yes—
252#2417C2212yes—
253#2416C2212yes—
254#2416C2212yes—
255#2416C2214yes—
256#2415C2212yes—
257#2415C2214yes—
258#2414C2212yes—
259#2413C2214yes—
260#2413C2214yes—
261#2406C2214yes—
262#2406C2212yes—
263#2396C2212yes—
264#2392C2212yes—
265C2×#398C2212yes—
266C2×#395C2212yes—
267#2355C2212yes—
268#2352C2212yes—
269#2352C2212yes—
270D4×C4⋊C4C2212yes—
271#2347C2212yes—
272#2343C2212yes—
273#2343C2212yes—
274#2339C2212yes—
275#2324C2212yes—
276#2324C2212yes—
277#2323C2212yes—
278#2323C2212yes—
279#2322C2214yes—
280#2322C2214yes—
281#2317C2212yes—
282#2317C2212yes—
283#2316C2212yes—
284#2316C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×#121C2212yes—
287C4×#121C2214yes—
288#2295C2212yes—
289C2×#389C2214yes—
290C2×#389C2212yes—
291C2×#389C2212yes—
292#2290C2212yes—
293#2290C2212yes—
294#2285C2211yescharacteristic
295#2283C2211yescharacteristic
296#2283C2211yescharacteristic
297C42×D4C2212yes—
298C4×#117C2211yescharacteristic
299C2×C4×C4⋊C4C2211yescharacteristic
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305#557—28no—
306#554—28no—
307#554—28no—
308#553—28no—
309#553—28no—
310#552—28no—
311#552—28no—
312#552—216no—
313#552—216no—
314#552—216no—
315#547—216no—
316#547—28no—
317#544—28no—
318#542—216no—
319#542—28no—
320#542—28no—
321#541—216no—
322#541—216no—
323#541—28no—
324#541—28no—
325#539—216no—
326#539—216no—
327#539—216no—
328#539—216no—
329#537—28no—
330#536—28no—
331#536—28no—
332#533—216no—
333#533—28no—
334#533—28no—
335#533—28no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2314yes—
346#529—216no—
347#529—216no—
348#529—216no—
349#529—28no—
350#529—28no—
351#529—28no—
352#529—28no—
353#529—28no—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#126C2312yes—
368C2×#126C2312yes—
369C2×#125—28no—
370C2×#125—28no—
371C2×#125C2311yescharacteristic
372C2×#125C2311yescharacteristic
373C2×#125C2311yescharacteristic
374C2×#125C2312yes—
375C2×#125C2311yescharacteristic
376C2×#125C2311yescharacteristic
377C2×#125C2311yescharacteristic
378C2×#125C2312yes—
379C2×#125C2312yes—
380C2×#125C2311yescharacteristic
381C2×#125C2311yescharacteristic
382C2×#125C2312yes—
383C2×#125C2312yes—
384C2×#125C2312yes—
385C2×#125C2311yescharacteristic
386C2×#125C2312yes—
387C2×#125C2312yes—
388C2×#125C2312yes—
389C2×#125C2312yes—
390C2×#125C2312yes—
391C2×#125C2312yes—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#124C2311yescharacteristic
397C2×#124C2311yescharacteristic
398C2×#124C2311yescharacteristic
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
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×#123C2312yes—
419C2×#123C2314yes—
420C2×#123C2314yes—
421C2×#123C2314yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2311yescharacteristic
433C2×C22⋊Q8C2311yescharacteristic
434C2×C22⋊Q8C2311yescharacteristic
435C2×C22⋊Q8C2311yescharacteristic
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2314yes—
450C2×#121C2311yescharacteristic
451C2×#121C2312yes—
452C2×#121C2311yescharacteristic
453C2×#121C2311yescharacteristic
454C2×#121C2311yescharacteristic
455C2×#121C2311yescharacteristic
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2314yes—
462C2×#121C2314yes—
463#520—216no—
464C4×#41—28no—
465C4×#41D4116yescomplemented
466C2×C4×Q8—28no—
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2311yescharacteristic
473C2×C4×Q8C2312yes—
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2311yescharacteristic
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2312yes—
480C2×C4×Q8C2312yes—
481C2×C4×Q8C2311yescharacteristic
482C2×C4×Q8C2312yes—
483C2×C4×Q8C2311yescharacteristic
484C2×C4×Q8C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2314yes—
501C2×C4×D4C2314yes—
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2311yescharacteristic
506C2×C4×D4C2311yescharacteristic
507C2×C4×D4C2311yescharacteristic
508C2×#117C2312yes—
509C2×#117C2311yescharacteristic
510C2×#117C2311yescharacteristic
511C2×#117C2312yes—
512C2×#117C2312yes—
513C2×#117C2312yes—
514C2×#117C2312yes—
515C2×#117C2312yes—
516C2×#117C2312yes—
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2311yescharacteristic
520C2×#117C2312yes—
521C2×#117C2312yes—
522C2×#117C2312yes—
523C2×#117C2311yescharacteristic
524C2×#117C2311yescharacteristic
525C2×#117C2311yescharacteristic
526C22×C4⋊C4C2312yes—
527C22×C4⋊C4C2311yescharacteristic
528C22×C4⋊C4C2311yescharacteristic
529C22×C4⋊C4C2312yes—
530C22×C4⋊C4C2312yes—
531C22×C4⋊C4C2312yes—
532C22×C4⋊C4C2312yes—
533C22×C4⋊C4C2312yes—
534C22×C4⋊C4C2311yescharacteristic
535C22×C4⋊C4C2312yes—
536C22×C4⋊C4C2312yes—
537C22×C4⋊C4C2311yescharacteristic
538C22×C4⋊C4C2311yescharacteristic
539C22×C4⋊C4C2314yes—
540C22×C4⋊C4C2314yes—
541C22×C42C2312yes—
542C22×C42C2312yes—
543C22×C42C2312yes—
544C22×C42C2312yes—
545C22×C42C2311yescharacteristic
546C22×C42C2311yescharacteristic
547C22×C42C2311yescharacteristic
548#400C2312yes—
549#400C2312yes—
550#400C2314yes—
551#400C2312yes—
552#400C2314yes—
553#400C2314yes—
554#400C2314yes—
555#400C2314yes—
556#400C2314yes—
557#400C2314yes—
558#400C2314yes—
559#399C2314yes—
560#399C2312yes—
561#399C2314yes—
562#399C2314yes—
563#399C2314yes—
564#399C2314yes—
565#399C2314yes—
566#399C2314yes—
567#399C2314yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2314yes—
573#398C2312yes—
574#398C2314yes—
575#398C2314yes—
576#398C2314yes—
577#398C2314yes—
578#398C2314yes—
579#398C2312yes—
580#398C2312yes—
581#398C2314yes—
582#398C2314yes—
583#398C2312yes—
584#398C2314yes—
585#398C2314yes—
586#398C2312yes—
587#398C2314yes—
588#398C2314yes—
589#398C2314yes—
590#398C2314yes—
591#398C2314yes—
592#398C2314yes—
593#398C2314yes—
594#398C2314yes—
595#397C2314yes—
596#397C2314yes—
597#397C2314yes—
598#397C2312yes—
599#397C2312yes—
600#397C2314yes—
601#397C2312yes—
602#397C2314yes—
603#397C2314yes—
604#397C2314yes—
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#395C2312yes—
620#395C2312yes—
621#395C2314yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2314yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2314yes—
631#395C2314yes—
632#395C2314yes—
633#395C2314yes—
634#395C2314yes—
635#395C2314yes—
636#395C2314yes—
637#395C2314yes—
638#394C2312yes—
639#394C2312yes—
640#394C2314yes—
641#394C2314yes—
642#394C2312yes—
643#394C2314yes—
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2314yes—
649#394C2314yes—
650#394C2314yes—
651#393C2314yes—
652#393C2312yes—
653#393C2314yes—
654#393C2312yes—
655#393C2312yes—
656#393C2314yes—
657#393C2314yes—
658#392C2314yes—
659#392C2312yes—
660#391C2314yes—
661#391C2314yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2314yes—
666#391C2314yes—
667#390C2312yes—
668#390C2312yes—
669#390C2314yes—
670#390C2314yes—
671#390C2312yes—
672#390C2314yes—
673#390C2314yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2314yes—
679#389C2314yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2314yes—
685#389C2314yes—
686#389C2312yes—
687#389C2312yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2314yes—
693#389C2314yes—
694#389C2314yes—
695#389C2314yes—
696#389C2314yes—
697#389C2314yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2314yes—
702#389C2314yes—
703#389C2314yes—
704#389C2314yes—
705#389C2314yes—
706#389C2314yes—
707#389C2314yes—
708#389C2314yes—
709#389C2314yes—
710#389C2314yes—
711#389C2312yes—
712#389C2314yes—
713#389C2314yes—
714#389C2314yes—
715#389C2314yes—
716#389C2314yes—
717#389C2314yes—
718#389C2314yes—
719#389C2314yes—
720#389C2314yes—
721#389C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
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#387C2314yes—
760#387C2314yes—
761#387C2314yes—
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#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#384C2314yes—
795#384C2314yes—
796#384C2314yes—
797#384C2312yes—
798#383C2312yes—
799#383C2312yes—
800#382C2312yes—
801#382C2314yes—
802#382C2314yes—
803#382C2312yes—
804#382C2312yes—
805#381C2312yes—
806#381C2314yes—
807#381C2314yes—
808#381C2312yes—
809#381C2314yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2314yes—
817#380C2314yes—
818#380C2314yes—
819#380C2314yes—
820#380C2314yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2312yes—
825#380C2314yes—
826#380C2314yes—
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2314yes—
839C4×C4⋊C4C2314yes—
840C4×C4⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2312yes—
849#376C2312yes—
850#376C2312yes—
851#376C2312yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C2×#95C2314yes—
855C2×#95C2314yes—
856C43C2312yes—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—48no—
862C2×#41C2×D418yes—
863C22×Q8—24no—
864C22×Q8—44no—
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2412yes—
873C22×Q8C2412yes—
874C22×Q8C2411yescharacteristic
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2414yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2414yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C4⋊Q8—28no—
911C4⋊Q8—28no—
912C4⋊Q8—28no—
913C4⋊Q8—24no—
914C4⋊Q8—24no—
915C4⋊Q8—24no—
916C4⋊Q8—24no—
917C4⋊Q8—24no—
918C4⋊Q8—24no—
919C4⋊Q8—84no—
920#126—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#125—28no—
936#125—28no—
937#125—28no—
938#125—28no—
939#125—28no—
940#125—28no—
941#125—28no—
942#125—28no—
943#125—28no—
944#125—28no—
945#125—24no—
946#125—24no—
947#125—24no—
948#125—28no—
949#125—28no—
950#125—28no—
951#125—28no—
952#125—24no—
953#125—24no—
954#125—24no—
955#125—24no—
956#125—24no—
957#125—24no—
958#125—28no—
959#125—28no—
960#124—28no—
961#124—28no—
962#124—28no—
963#124—24no—
964#124—24no—
965#124—24no—
966#123—28no—
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—48no—
984#123—48no—
985#123—84no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—24no—
989C22⋊Q8—24no—
990C22⋊Q8—24no—
991C22⋊Q8—24no—
992C22⋊Q8—24no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995C22⋊Q8—24no—
996C22⋊Q8—24no—
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—
1012C22⋊Q8—28no—
1013C22⋊Q8—84no—
1014#121—28no—
1015#121—28no—
1016#121—28no—
1017#121—28no—
1018#121—28no—
1019#121—24no—
1020#121—24no—
1021#121—24no—
1022#121—24no—
1023#121—24no—
1024#121—28no—
1025#121—48no—
1026#121—84no—
1027C4×Q8—28no—
1028C4×Q8—28no—
1029C4×Q8—24no—
1030C4×Q8—24no—
1031C4×Q8—24no—
1032C4×Q8—24no—
1033C4×Q8—28no—
1034C4×Q8—24no—
1035C4×Q8—24no—
1036C4×Q8—28no—
1037C4×Q8—28no—
1038C4×Q8—28no—
1039C4×Q8—24no—
1040C4×Q8—24no—
1041C4×Q8—24no—
1042C4×Q8—28no—
1043C4×Q8C2×D418yes—
1044C4×Q8C2×D418yes—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—24no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—48no—
1061C4×D4—84no—
1062C4×D4C2×D418yes—
1063C4×D4C2×D418yes—
1064C4×D4C2×D418yes—
1065C4×D4C2×D418yes—
1066C4×D4C2×D418yes—
1067C4×D4C2×D418yes—
1068#117—24no—
1069#117—28no—
1070#117—28no—
1071#117—24no—
1072#117—24no—
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—24no—
1087C2×C4⋊C4—28no—
1088C2×C4⋊C4—28no—
1089C2×C4⋊C4—28no—
1090C2×C4⋊C4—24no—
1091C2×C4⋊C4—24no—
1092C2×C4⋊C4—28no—
1093C2×C4⋊C4—28no—
1094C2×C4⋊C4—24no—
1095C2×C4⋊C4—24no—
1096C2×C4⋊C4—28no—
1097C2×C4⋊C4—28no—
1098C2×C4⋊C4—28no—
1099C2×C4⋊C4—48no—
1100C2×C4⋊C4—84no—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2411yescharacteristic
1187C2×C4⋊C4C2411yescharacteristic
1188C2×C4⋊C4C2411yescharacteristic
1189C2×C4⋊C4C2411yescharacteristic
1190C2×C4⋊C4C2411yescharacteristic
1191C2×C4⋊C4C2411yescharacteristic
1192C2×C4⋊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⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2411yescharacteristic
1240C2×C22⋊C4C2411yescharacteristic
1241C2×C22⋊C4C2411yescharacteristic
1242C2×C22⋊C4C2411yescharacteristic
1243C2×C22⋊C4C2411yescharacteristic
1244C2×C22⋊C4C2411yescharacteristic
1245C2×C42—28no—
1246C2×C42—28no—
1247C2×C42—82no—
1248C2×C42—82no—
1249C2×C42C2×D418yes—
1250C2×C42C2×D418yes—
1251C2×C42C2×D418yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2414yes—
1262C2×C42C2412yes—
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2412yes—
1266C2×C42C2412yes—
1267C2×C42C2414yes—
1268C2×C42C2414yes—
1269C2×C42C2414yes—
1270C2×C42C2412yes—
1271C2×C42C2412yes—
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2411yescharacteristic
1275C2×C42C2411yescharacteristic
1276C2×C42C2411yescharacteristic
1277C2×C42C2411yescharacteristic
1278C2×C42C2411yescharacteristic
1279C2×C42C2411yescharacteristic
1280C2×C42C2411yescharacteristic
1281C2×C42C2411yescharacteristic
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2412yes—
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—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326C24C2512yes—
1327C24C2512yes—
1328C24C2511yescharacteristic
1329C24C2511yescharacteristic
1330C24C2511yescharacteristic
1331#41—416no—
1332#41—416no—
1333#41—432no—
1334C2×Q8—22no—
1335C2×Q8—24no—
1336C2×Q8—22no—
1337C2×Q8—22no—
1338C2×Q8—24no—
1339C2×Q8—22no—
1340C2×Q8—24no—
1341C2×Q8—24no—
1342C2×Q8—24no—
1343C2×Q8—24no—
1344C2×Q8—42no—
1345C2×Q8—42no—
1346C2×Q8—42no—
1347C2×Q8—42no—
1348C2×Q8—42no—
1349C2×Q8—42no—
1350C2×Q8—44no—
1351C2×Q8—42no—
1352C2×Q8—42no—
1353C2×Q8—42no—
1354C2×Q8—42no—
1355C2×Q8—42no—
1356C2×Q8—42no—
1357C2×Q8—416no—
1358C2×Q8C22×D414yes—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—28no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4C22×D414yes—
1386C2×D4C22×D414yes—
1387C2×D4C22×D414yes—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—28no—
1397C22×C4—28no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—28no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—28no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—44no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—44no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4C22×D414yes—
1440C22×C4C22×D414yes—
1441C22×C4C22×D414yes—
1442C22×C4C22×D414yes—
1443C22×C4C22×D414yes—
1444C22×C4C22×D414yes—
1445C22×C4C22×D414yes—
1446C22×C4C22×D414yes—
1447C22×C4C22×D414yes—
1448C22×C4C2514yes—
1449C22×C4C2514yes—
1450C22×C4C2514yes—
1451C22×C4C2512yes—
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2512yes—
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2511yescharacteristic
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2511yescharacteristic
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2514yes—
1477C22×C4C2511yescharacteristic
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—22no—
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—22no—
1497C4⋊C4—22no—
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—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—22no—
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—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—28no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—28no—
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—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4—44no—
1563C4⋊C4C22×D414yes—
1564C4⋊C4C22×D414yes—
1565C4⋊C4C22×D414yes—
1566C4⋊C4C22×D414yes—
1567C4⋊C4C22×D414yes—
1568C4⋊C4C22×D414yes—
1569C4⋊C42−1+418yes—
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—28no—
1600C22⋊C4—28no—
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⋊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—24no—
1634C42—28no—
1635C42—42no—
1636C42—42no—
1637C42—42no—
1638C42—44no—
1639C42—44no—
1640C42—42no—
1641C42—44no—
1642C42C22×D414yes—
1643C42C22×D414yes—
1644C42C22×D414yes—
1645C42C22×D414yes—
1646C42C22×D414yes—
1647C42C22×D414yes—
1648C42C22×D414yes—
1649C42C22×D414yes—
1650C42C22×D414yes—
1651C42C22×D414yes—
1652C23—22no—
1653C23—21no—
1654C23—21no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—24no—
1667C23—22no—
1668C23—22no—
1669C23—24no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23C23×D412yes—
1676C23C23×D412yes—
1677C23C23×D412yes—
1678C23#58514yes—
1679C23C2611yescharacteristic
1680Q8—44no—
1681Q8—44no—
1682Q8—44no—
1683Q8—48no—
1684Q8—44no—
1685Q8—48no—
1686Q8—44no—
1687Q8—84no—
1688Q8—84no—
1689Q8—84no—
1690D4—28no—
1691D4—28no—
1692D4—44no—
1693D4—44no—
1694D4—48no—
1695D4—48no—
1696D4—48no—
1697D4—44no—
1698D4—88no—
1699D4—84no—
1700D4—84no—
1701D4—84no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—24no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—28no—
1720C2×C4—28no—
1721C2×C4—28no—
1722C2×C4—28no—
1723C2×C4—22no—
1724C2×C4—22no—
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—24no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—24no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—24no—
1751C2×C4—24no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—24no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—44no—
1771C2×C4—44no—
1772C2×C4—44no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—416no—
1776C2×C4—48no—
1777C2×C4—48no—
1778C2×C4—48no—
1779C2×C4—48no—
1780C2×C4—48no—
1781C2×C4—48no—
1782C2×C4—84no—
1783C2×C4—84no—
1784C2×C4—84no—
1785C2×C4—88no—
1786C2×C4—84no—
1787C2×C4—84no—
1788C2×C4—84no—
1789C2×C4C23×D412yes—
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×C4C2×2−1+418yes—
1802C2×C4C2×2−1+414yes—
1803C22—22no—
1804C22—22no—
1805C22—24no—
1806C22—24no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—42no—
1824C22—44no—
1825C22—42no—
1826C22—42no—
1827C22—44no—
1828C22—42no—
1829C22#344914yes—
1830C22C24×D411yescharacteristic
1831C22C22×2−1+412yes—
1832C22C2×#58512yes—
1833C22H(7,𝔽2)11yescharacteristic
1834C222−1+611yescharacteristic
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—22no—
1841C4—22no—
1842C4—22no—
1843C4—22no—
1844C4—22no—
1845C4—22no—
1846C4—28no—
1847C4—42no—
1848C4—42no—
1849C4—42no—
1850C4—42no—
1851C4—42no—
1852C4—42no—
1853C4—42no—
1854C4—42no—
1855C4—42no—
1856C4—42no—
1857C4—42no—
1858C4—42no—
1859C4—42no—
1860C4—42no—
1861C4—44no—
1862C4—44no—
1863C4—44no—
1864C4#349914yes—
1865C2—24no—
1866C2—42no—
1867C2—42no—
1868C2—82no—
1869C2—82no—
1870C2C2×#344911yescharacteristic
1871C2C2×#349911yescharacteristic
1872C2#6285311yescharacteristic
1873C2#6294812yes—
1874C2#6294912yes—
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×#3515C2semidirect
2. C2×#3461C2semidirect
3. #42306C2semidirect
4. #42305C2semidirect
5. #42297C2semidirect
6. #42295C2semidirect
7. #41948C2semidirect
8. #41947C2semidirect
9. #41939C2semidirect
10. #41937C2semidirect
11. #39591C2semidirect
12. #39590C2semidirect
13. #38915C2semidirect
14. #38914C2semidirect
15. #38043C2semidirect
16. #38042C2semidirect
17. #38041C2semidirect
18. #38040C2semidirect
19. #37622C2semidirect
20. #37560C2semidirect
21. #37551C2semidirect
22. #37549C2semidirect
23. #37191C2semidirect
24. #36743C2semidirect
25. #35363C2semidirect
26. #35335C2semidirect
27. #35234C2semidirect
28. #35212C2semidirect
29. #35173C2semidirect
30. #35138C2semidirect
31. #35111C2semidirect
32. #35008C2semidirect
33. #34964C2semidirect
34. C2×#2584C2semidirect
35. #34127C2semidirect
465. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35152
C2×#34612
#423062
#423052
#422972
#422952
#419482
#419472
#419392
#419372
#395912
#395902
#389152
#389142
#380432
#380422
#380412
#380402
#376222
#375602
#375512
#375492
#371912
#367432
#353632
#353352
#352342
#352122
#351732
#351382
#351112
#350082
#349642
C2×#25842
#341272