Finite Group Databasebeta

← #7647511

Subgroups — #7647511

Order 512.

6936 conjugacy classes of subgroups.

The subgroup lattice has 1928 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3455C211yesmaximal, characteristic, complemented
3#42882C211yesmaximal, characteristic, complemented
4#42881C211yesmaximal, characteristic, complemented
5#42878C211yesmaximal, characteristic, complemented
6#42877C211yesmaximal, characteristic, complemented
7#42431C211yesmaximal, characteristic, complemented
8#42430C211yesmaximal, characteristic, complemented
9#42427C211yesmaximal, characteristic, complemented
10#42426C211yesmaximal, characteristic, complemented
11#40507C212yesmaximal, complemented
12#40506C212yesmaximal, complemented
13#40503C212yesmaximal, complemented
14#40502C212yesmaximal, complemented
15#39891C212yesmaximal, complemented
16#39888C212yesmaximal, complemented
17#39886C212yesmaximal, complemented
18#39885C212yesmaximal, complemented
19#39875C214yesmaximal, complemented
20#39872C214yesmaximal, complemented
21#37606C212yesmaximal, complemented
22#37552C212yesmaximal, complemented
23#37133C214yesmaximal, complemented
24#37132C214yesmaximal, complemented
25#35611C212yesmaximal, complemented
26#35538C212yesmaximal, complemented
27#35301C211yesmaximal, characteristic, complemented
28#35220C212yesmaximal, complemented
29#35212C212yesmaximal, complemented
30#35210C211yesmaximal, characteristic, complemented
31#35198C212yesmaximal, complemented
32#35131C212yesmaximal, complemented
33#34977C211yesmaximal, characteristic, complemented
34#34877C211yesmaximal, characteristic, complemented
35#34125C211yesmaximal, characteristic, complemented
36#3514—216no—
37C2×#559C2211yescharacteristic, complemented
38C2×#556C2211yescharacteristic, complemented
39C2×#555C2212yes—
40C2×#551C2214yescomplemented
41C2×D4×Q8C2211yescharacteristic, complemented
42C2×#548C2212yes—
43C2×#546C2212yes—
44C2×#546C2212yes—
45C2×D42C2211yescharacteristic, complemented
46#3455—216no—
47C2×#542C2211yescharacteristic
48C2×#542C2211yescharacteristic
49C2×#542C2212yescomplemented
50C2×#542C2211yescharacteristic, complemented
51C2×#542C2211yescharacteristic, complemented
52C2×#541C2211yescharacteristic, complemented
53C2×#541C2211yescharacteristic, complemented
54C2×#540C2211yescharacteristic
55C2×#540C2211yescharacteristic
56C2×#539C2212yescomplemented
57C2×#539C2212yescomplemented
58C2×#538C2214yes—
59C2×#538C2212yescomplemented
60C2×#538C2212yescomplemented
61C2×#533C2211yescharacteristic, complemented
62C2×#532C2211yescharacteristic
63C2×#532C2211yescharacteristic
64C2×#529C2211yescharacteristic
65C2×#529C2212yescomplemented
66C2×#529C2212yescomplemented
67C2×#529C2212yescomplemented
68C2×#529C2212yescomplemented
69C2×#529C2212yescomplemented
70C22×#124C2212yescomplemented
71C2×#525C2211yescharacteristic
72C2×#525C2211yescharacteristic, complemented
73C2×#518C2212yescomplemented
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic, complemented
76C22×#117C2211yescharacteristic, complemented
77#2861C2214yescomplemented
78#2860C2214yescomplemented
79#2860C2214yescomplemented
80#2858C2214yescomplemented
81#2854C2212yescomplemented
82#2852C2214yescomplemented
83#2847C2212yescomplemented
84#2820C2212yescomplemented
85#2820C2212yescomplemented
86#2819C2212yes—
87#2819C2212yescomplemented
88#2817C2212yescomplemented
89#2816C2212yescomplemented
90#2816C2212yescomplemented
91#2815C2212yes—
92#2727C2214yescomplemented
93#2725C2214yescomplemented
94#2710C2214yescomplemented
95#2707C2214yescomplemented
96#2705C2214yescomplemented
97#2705C2214yescomplemented
98#2703C2214yescomplemented
99#2702C2214yescomplemented
100#2701C2214yescomplemented
101#2700C2214yescomplemented
102#2699C2214yescomplemented
103#2697C2214yescomplemented
104#2689C2214yescomplemented
105#2687C2214yescomplemented
106#2685C2214yescomplemented
107#2682C2214yescomplemented
108#2682C2214yescomplemented
109#2681C2214yescomplemented
110#2681C2214yescomplemented
111#2679C2214yescomplemented
112#2678C2214yescomplemented
113#2678C2214yescomplemented
114#2678C2214yescomplemented
115#2678C2214yescomplemented
116#2674C2214yescomplemented
117#2674C2214yescomplemented
118#2672C2214yescomplemented
119#2672C2214yescomplemented
120#2670C2214yes—
121#2670C2214yescomplemented
122#2669C2214yes—
123#2669C2214yescomplemented
124#2664C2214yescomplemented
125#2663C2212yescomplemented
126#2663C2212yescomplemented
127#2662C2212yes—
128#2662C2214yescomplemented
129#2662C2214yescomplemented
130#2662C2214yescomplemented
131#2662C2212yescomplemented
132#2662C2212yescomplemented
133#2662C2212yescomplemented
134#2661C2212yes—
135#2661C2212yescomplemented
136#2638C2212yescomplemented
137#2637C2212yescomplemented
138#2637C2212yescomplemented
139#2636C2212yescomplemented
140#2636C2212yescomplemented
141#2635C2212yes—
142#2632C2214yescomplemented
143#2631C2214yescomplemented
144#2630C2214yescomplemented
145#2630C2214yescomplemented
146#2628C2211yescharacteristic, complemented
147#2628C2211yescharacteristic, complemented
148#2619C2211yescharacteristic
149#2619C2211yescharacteristic
150#2614C2212yescomplemented
151#2614C2212yescomplemented
152#2613C2212yes—
153#2613C2212yescomplemented
154#2611C2211yescharacteristic, complemented
155#2611C2211yescharacteristic, complemented
156#2611C2212yescomplemented
157#2610C2211yescharacteristic
158#2610C2211yescharacteristic
159#2610C2212yescomplemented
160#2610C2212yescomplemented
161#2610C2212yescomplemented
162#2610C2212yescomplemented
163#2610C2212yescomplemented
164#2602C2214yescomplemented
165#2602C2214yescomplemented
166#2602C2214yescomplemented
167#2602C2214yescomplemented
168#2602C2214yescomplemented
169#2601C2212yescomplemented
170#2601C2212yescomplemented
171#2599C2214yescomplemented
172#2598C2214yescomplemented
173#2598C2212yescomplemented
174#2598C2212yescomplemented
175#2592C2212yescomplemented
176#2591C2211yescharacteristic
177#2591C2212yescomplemented
178#2584C2212yescomplemented
179#2583C2211yescharacteristic, complemented
180#2581C2211yescharacteristic, complemented
181#2580C2211yescharacteristic, complemented
182#2567C2211yescharacteristic, complemented
183#2563C2211yescharacteristic, complemented
184#2562C2212yescomplemented
185#2561C2214yescomplemented
186#2561C2211yescharacteristic, complemented
187#2560C2214yescomplemented
188#2558C2214yescomplemented
189#2556C2214yescomplemented
190#2554C2214yescomplemented
191#2551C2212yescomplemented
192#2550C2212yescomplemented
193#2548C2211yescharacteristic, complemented
194#2548C2212yescomplemented
195#2545C2214yescomplemented
196#2545C2212yescomplemented
197#2544C2214yescomplemented
198#2541C2212yes—
199#2541C2211yescharacteristic, complemented
200#2540C2212yes—
201#2540C2212yescomplemented
202#2539C2211yescharacteristic
203#2539C2212yescomplemented
204#2539C2214yescomplemented
205#2538C2212yescomplemented
206#2536C2211yescharacteristic, complemented
207#2536C2212yescomplemented
208#2535C2211yescharacteristic, complemented
209#2534C2214yescomplemented
210#2534C2214yescomplemented
211#2500C2212yescomplemented
212#2492C2212yescomplemented
213#2491C2212yescomplemented
214#2491C2212yescomplemented
215#2490C2212yescomplemented
216#2485C2212yescomplemented
217#2480C2214yescomplemented
218#2472C2214yescomplemented
219#2466C2214yescomplemented
220#2461C2214yescomplemented
221#2461C2214yescomplemented
222#2459C2214yescomplemented
223#2456C2214yescomplemented
224#2455C2214yescomplemented
225#2454C2212yescomplemented
226#2452C2212yescomplemented
227#2452C2214yescomplemented
228#2447C2212yescomplemented
229#2445C2214yescomplemented
230#2445C2212yescomplemented
231#2441C2212yescomplemented
232#2439C2212yescomplemented
233#2436C2212yescomplemented
234#2435C2212yescomplemented
235#2435C2212yescomplemented
236#2434C2212yescomplemented
237#2433C2212yes—
238#2433C2212yescomplemented
239#2431C2212yescomplemented
240#2429C2212yescomplemented
241#2428C2212yescomplemented
242#2427C2212yescomplemented
243#2426C2212yescomplemented
244#2426C2212yescomplemented
245#2426C2212yescomplemented
246#2424C2214yescomplemented
247#2422C2212yes—
248#2420C2212yes—
249#2418C2214yescomplemented
250#2415C2214yescomplemented
251#2415C2212yescomplemented
252#2414C2214yescomplemented
253#2414C2214yescomplemented
254#2414C2212yescomplemented
255#2413C2212yescomplemented
256#2411C2212yescomplemented
257#2411C2214yescomplemented
258#2411C2214yescomplemented
259#2408C2212yes—
260#2408C2212yes—
261#2407C2212yescomplemented
262#2406C2212yescomplemented
263#2404C2212yescomplemented
264#2396C2211yescharacteristic, complemented
265#2396C2211yescharacteristic, complemented
266#2392C2211yescharacteristic
267#2392C2211yescharacteristic
268#2388C2212yescomplemented
269#2388C2212yescomplemented
270#2357C2212yescomplemented
271#2357C2212yescomplemented
272#2357C2211yescharacteristic, complemented
273#2357C2211yescharacteristic, complemented
274#2351C2211yescharacteristic, complemented
275#2351C2211yescharacteristic, complemented
276#2347C2214yescomplemented
277#2347C2212yescomplemented
278#2341C2212yes—
279#2324C2212yescomplemented
280#2324C2212yescomplemented
281#2324C2214yescomplemented
282#2324C2212yescomplemented
283#2323C2212yescomplemented
284#2323C2214yescomplemented
285#2321C2214yescomplemented
286#2321C2214yescomplemented
287C4×#127C2212yescomplemented
288C4×#124C2212yescomplemented
289C4×#123C2212yescomplemented
290C4×#121C2214yescomplemented
291C4×#120C2212yescomplemented
292#2293C2214yescomplemented
293#2293C2212yescomplemented
294#2293C2212yescomplemented
295#2293C2212yescomplemented
296#2283C2211yescharacteristic, complemented
297#2283C2212yescomplemented
298C42×Q8C2212yescomplemented
299C4×#117C2212yescomplemented
300C4×#117C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C23×Q8C2312yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307C24×C4C2311yescharacteristic
308#559—28no—
309#556—28no—
310#555—216no—
311#551—232no—
312D4×Q8—28no—
313#548—216no—
314#546—216no—
315#546—216no—
316D42—28no—
317#542—28no—
318#542—28no—
319#542—216no—
320#542—28no—
321#542—28no—
322#541—28no—
323#541—28no—
324#540—28no—
325#540—28no—
326#539—216no—
327#539—216no—
328#538—232no—
329#538—216no—
330#538—216no—
331#533—28no—
332#532—28no—
333#532—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2314yes—
340C2×#127C2311yescharacteristic
341C2×#127C2311yescharacteristic
342C2×#127C2312yes—
343C2×#127C2314yes—
344#529—216no—
345#529—216no—
346#529—28no—
347#529—216no—
348#529—216no—
349#529—216no—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2314yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2314yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2311yescharacteristic
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2311yescharacteristic
367C2×#125C2311yescharacteristic
368C2×#124—216no—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2314yes—
374C2×#124C2311yescharacteristic
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#124C2312yes—
378C2×#124C2314yes—
379C2×#124C2312yes—
380C2×#124C2311yescharacteristic
381C2×#124C2311yescharacteristic
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2314yes—
385C2×#124C2314yes—
386#525—28no—
387#525—28no—
388C2×#123C2314yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2314yes—
401C2×#123C2314yes—
402C2×#123C2312yes—
403C2×#123C2314yes—
404C2×#123C2314yes—
405C2×#123C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2314yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2311yescharacteristic
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2314yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2314yes—
444C2×#121C2314yes—
445C2×#120C2312yes—
446C2×#120C2312yes—
447C2×#120C2314yes—
448C2×#120C2314yes—
449C2×#120C2314yes—
450C2×#120C2314yes—
451C2×#120C2312yes—
452C2×#120C2314yes—
453C2×#120C2314yes—
454C2×#120C2314yes—
455#518—216no—
456C4×#41—28no—
457C4×#41D4116yescomplemented
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×#117—28no—
496C2×#117C2314yes—
497C2×#117C2312yes—
498C2×#117C2311yescharacteristic
499C2×#117C2311yescharacteristic
500C2×#117C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2311yescharacteristic
503C2×#117C2311yescharacteristic
504C2×#117C2312yes—
505C2×#117C2311yescharacteristic
506C2×#117C2311yescharacteristic
507C2×#117C2311yescharacteristic
508C2×#117C2312yes—
509C2×#117C2314yes—
510C2×#117C2312yes—
511C2×#117C2311yescharacteristic
512C2×#117C2312yes—
513C22×C4⋊C4C2311yescharacteristic
514C22×C4⋊C4C2311yescharacteristic
515C22×C22⋊C4C2311yescharacteristic
516C22×C22⋊C4C2314yes—
517C22×C22⋊C4C2314yes—
518C22×C22⋊C4C2311yescharacteristic
519C22×C22⋊C4C2314yes—
520C22×C42C2312yes—
521C22×C42C2311yescharacteristic
522C22×C42C2311yescharacteristic
523C22×C42C2312yes—
524#400C2311yescharacteristic
525#400C2312yes—
526#400C2314yes—
527#400C2311yescharacteristic
528#400C2312yes—
529#400C2312yes—
530#399C2311yescharacteristic
531#399C2312yes—
532#399C2314yes—
533#399C2314yes—
534#399C2314yes—
535#399C2312yes—
536#399C2312yes—
537#399C2311yescharacteristic
538#398C2314yes—
539#398C2311yescharacteristic
540#398C2312yes—
541#398C2314yes—
542#398C2311yescharacteristic
543#398C2312yes—
544#398C2312yes—
545#398C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#397C2311yescharacteristic
550#397C2311yescharacteristic
551#397C2314yes—
552#397C2314yes—
553#397C2312yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2312yes—
562#396C2312yes—
563#396C2312yes—
564#396C2312yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#395C2312yes—
574#395C2314yes—
575#395C2312yes—
576#395C2311yescharacteristic
577#395C2312yes—
578#395C2312yes—
579#395C2312yes—
580#395C2311yescharacteristic
581#395C2314yes—
582#395C2314yes—
583#394C2314yes—
584#394C2312yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2312yes—
591#394C2312yes—
592#394C2312yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2311yescharacteristic
597#394C2312yes—
598#394C2311yescharacteristic
599#394C2312yes—
600#394C2312yes—
601#394C2312yes—
602#394C2312yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#393C2314yes—
620#393C2312yes—
621#393C2314yes—
622#393C2312yes—
623#393C2314yes—
624#393C2311yescharacteristic
625#393C2314yes—
626#393C2311yescharacteristic
627#393C2312yes—
628#393C2312yes—
629#393C2312yes—
630#393C2314yes—
631#392C2311yescharacteristic
632#392C2312yes—
633#392C2314yes—
634#392C2312yes—
635#392C2312yes—
636#392C2314yes—
637#392C2312yes—
638#392C2312yes—
639#392C2314yes—
640#392C2314yes—
641#392C2314yes—
642#392C2314yes—
643#392C2314yes—
644#392C2314yes—
645#392C2311yescharacteristic
646#392C2312yes—
647#392C2312yes—
648#392C2314yes—
649#392C2314yes—
650#392C2314yes—
651#392C2314yes—
652#391C2314yes—
653#391C2312yes—
654#391C2312yes—
655#391C2314yes—
656#391C2314yes—
657#390C2314yes—
658#390C2312yes—
659#390C2314yes—
660#390C2314yes—
661#390C2312yes—
662#390C2314yes—
663#390C2314yes—
664#390C2314yes—
665#390C2314yes—
666#390C2312yes—
667#390C2314yes—
668#390C2312yes—
669#390C2312yes—
670#390C2314yes—
671#390C2314yes—
672#390C2314yes—
673#390C2314yes—
674#390C2312yes—
675#390C2312yes—
676#390C2314yes—
677#390C2314yes—
678#390C2312yes—
679#390C2312yes—
680#390C2314yes—
681#390C2314yes—
682#390C2312yes—
683#390C2314yes—
684#390C2314yes—
685#390C2312yes—
686#390C2312yes—
687#390C2314yes—
688#389C2314yes—
689#389C2312yes—
690#389C2314yes—
691#389C2314yes—
692#389C2314yes—
693#389C2314yes—
694#389C2312yes—
695#389C2314yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2314yes—
701#389C2314yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2314yes—
706#389C2314yes—
707#389C2312yes—
708#388C2312yes—
709#388C2314yes—
710#388C2314yes—
711#388C2312yes—
712#388C2314yes—
713#388C2314yes—
714#388C2312yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2312yes—
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#388C2312yes—
734#388C2312yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2312yes—
741#388C2312yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#388C2314yes—
748#388C2312yes—
749#388C2314yes—
750#388C2312yes—
751#387C2314yes—
752#387C2312yes—
753#387C2314yes—
754#387C2314yes—
755#387C2312yes—
756#387C2314yes—
757#387C2314yes—
758#386C2314yes—
759#386C2312yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2312yes—
769#386C2312yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2312yes—
777#385C2314yes—
778#385C2314yes—
779#385C2312yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2312yes—
786#385C2312yes—
787#385C2312yes—
788#385C2314yes—
789#385C2314yes—
790#384C2312yes—
791#383C2312yes—
792#383C2314yes—
793#382C2312yes—
794#382C2312yes—
795#382C2312yes—
796#382C2311yescharacteristic
797#382C2311yescharacteristic
798#381C2312yes—
799#381C2314yes—
800#381C2314yes—
801#381C2312yes—
802#381C2312yes—
803#381C2312yes—
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2314yes—
813#379C2314yes—
814#379C2314yes—
815#379C2312yes—
816#379C2314yes—
817#379C2314yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846#376C2311yescharacteristic
847#376C2311yescharacteristic
848#376C2312yes—
849C43C2312yes—
850C43C2314yes—
851C25C2414yes—
852C25C2411yescharacteristic
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—42no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—42no—
859C2×#41—84no—
860C2×#41C2×D418yes—
861C22×Q8—28no—
862C22×Q8—84no—
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2414yes—
870C22×D4—28no—
871C22×D4—28no—
872C22×D4—44no—
873C22×D4—44no—
874C22×D4—84no—
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2414yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C23×C4—24no—
901C23×C4—42no—
902C23×C4—42no—
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2414yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2414yes—
911C23×C4C2414yes—
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2412yes—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8—24no—
926C4⋊Q8—28no—
927C4⋊Q8—24no—
928C4⋊Q8—84no—
929#127—24no—
930#127—24no—
931#127—44no—
932#127—84no—
933#126—28no—
934#126—28no—
935#126—216no—
936#126—28no—
937#126—28no—
938#126—28no—
939#126—28no—
940#126—216no—
941#126—28no—
942#126—28no—
943#126—28no—
944#125—28no—
945#125—28no—
946#125—24no—
947#125—24no—
948#125—24no—
949#125—28no—
950#125—28no—
951#124—24no—
952#124—28no—
953#124—24no—
954#124—28no—
955#124—28no—
956#124—216no—
957#124—24no—
958#124—28no—
959#124—216no—
960#124—28no—
961#124—28no—
962#124—216no—
963#124—28no—
964#124—28no—
965#124—44no—
966#124—84no—
967#124—84no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—216no—
975#123—28no—
976#123—28no—
977#123—216no—
978#123—216no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—44no—
983#123—84no—
984#123—84no—
985#123—84no—
986C22⋊Q8—24no—
987C22⋊Q8—24no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—24no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—216no—
998C22⋊Q8—28no—
999C22⋊Q8—28no—
1000C22⋊Q8—216no—
1001C22⋊Q8—48no—
1002C22⋊Q8—44no—
1003#121—24no—
1004#121—24no—
1005#121—28no—
1006#121—28no—
1007#121—216no—
1008#121—28no—
1009#121—28no—
1010#121—28no—
1011#121—24no—
1012#121—28no—
1013#121—28no—
1014#121—24no—
1015#121—24no—
1016#121—28no—
1017#121—28no—
1018#121—28no—
1019#121—216no—
1020#121—48no—
1021#121—48no—
1022#121—44no—
1023#121—44no—
1024#121—44no—
1025#120—28no—
1026#120—216no—
1027#120—28no—
1028#120—216no—
1029#120—48no—
1030#120—48no—
1031#120—44no—
1032#120—84no—
1033#120—84no—
1034#120—84no—
1035C4×Q8—24no—
1036C4×Q8—24no—
1037C4×Q8—28no—
1038C4×Q8—28no—
1039C4×Q8—28no—
1040C4×Q8—24no—
1041C4×Q8—44no—
1042C4×Q8—44no—
1043C4×Q8C2×D418yes—
1044C4×Q8C2×D418yes—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—216no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—216no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—24no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—44no—
1065C4×D4—44no—
1066C4×D4—84no—
1067C4×D4—84no—
1068C4×D4C2×D418yes—
1069C4×D4C2×D4116yes—
1070C4×D4C2×D4116yes—
1071C4×D4C2×D418yes—
1072#117—24no—
1073#117—28no—
1074#117—24no—
1075#117—24no—
1076#117—24no—
1077#117—24no—
1078#117—24no—
1079#117—24no—
1080#117—24no—
1081#117—24no—
1082#117—28no—
1083#117—28no—
1084#117—216no—
1085#117—48no—
1086#117—44no—
1087#117C2×D418yes—
1088#117C2×D4116yes—
1089C2×C4⋊C4—24no—
1090C2×C4⋊C4—24no—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
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⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C22⋊C4—24no—
1151C2×C22⋊C4—24no—
1152C2×C22⋊C4—216no—
1153C2×C22⋊C4—216no—
1154C2×C22⋊C4—216no—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C42—24no—
1237C2×C42—28no—
1238C2×C42C2×D418yes—
1239C2×C42C2×D4116yes—
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2414yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2414yes—
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2414yes—
1257C2×C42C2414yes—
1258C2×C42C2414yes—
1259C2×C42C2414yes—
1260C2×C42C2411yescharacteristic
1261C2×C42C2412yes—
1262C2×C42C2411yescharacteristic
1263C2×C42C2411yescharacteristic
1264C2×C42C2411yescharacteristic
1265C2×C42C2412yes—
1266C2×C42C2412yes—
1267#95C2412yes—
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2412yes—
1271#95C2414yes—
1272#95C2411yescharacteristic
1273#95C2412yes—
1274#95C2411yescharacteristic
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309C24—28no—
1310C24—22no—
1311C24—41no—
1312C24—41no—
1313C24—44no—
1314C24—44no—
1315C24—42no—
1316C24—42no—
1317C24—44no—
1318C24—44no—
1319C24—44no—
1320C24—44no—
1321C24C2512yes—
1322C24C2511yescharacteristic
1323C24C2511yescharacteristic
1324C24C2514yes—
1325C24C2512yes—
1326C24C2512yes—
1327C24C2511yescharacteristic
1328#41—416no—
1329#41—416no—
1330#41—816no—
1331C2×Q8—22no—
1332C2×Q8—22no—
1333C2×Q8—24no—
1334C2×Q8—24no—
1335C2×Q8—24no—
1336C2×Q8—28no—
1337C2×Q8—22no—
1338C2×Q8—22no—
1339C2×Q8—22no—
1340C2×Q8—22no—
1341C2×Q8—42no—
1342C2×Q8—44no—
1343C2×Q8—44no—
1344C2×Q8—44no—
1345C2×Q8—44no—
1346C2×Q8—44no—
1347C2×Q8—816no—
1348C2×Q8C22×D414yes—
1349C2×D4—28no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—28no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—28no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—22no—
1371C2×D4—24no—
1372C2×D4—28no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—42no—
1376C2×D4—44no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—42no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—432no—
1414C2×D4—816no—
1415C2×D4C22×D414yes—
1416C2×D4C22×D418yes—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—28no—
1423C22×C4—24no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—24no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—28no—
1438C22×C4—28no—
1439C22×C4—42no—
1440C22×C4—44no—
1441C22×C4—41no—
1442C22×C4—41no—
1443C22×C4—41no—
1444C22×C4—41no—
1445C22×C4—41no—
1446C22×C4—41no—
1447C22×C4—44no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—416no—
1464C22×C4C22×D414yes—
1465C22×C4C22×D418yes—
1466C22×C4C22×D418yes—
1467C22×C4C22×D414yes—
1468C22×C4C22×D414yes—
1469C22×C4C22×D418yes—
1470C22×C4C2512yes—
1471C22×C4C2514yes—
1472C22×C4C2512yes—
1473C22×C4C2514yes—
1474C22×C4C2512yes—
1475C22×C4C2511yescharacteristic
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2512yes—
1481C22×C4C2512yes—
1482C22×C4C2514yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2511yescharacteristic
1486C22×C4C2512yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C22×C4C2511yescharacteristic
1491C22×C4C2512yes—
1492C22×C4C2512yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2511yescharacteristic
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—28no—
1515C4⋊C4—22no—
1516C4⋊C4—22no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—28no—
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—28no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—42no—
1538C4⋊C4—44no—
1539C4⋊C4—42no—
1540C4⋊C4—42no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—42no—
1548C4⋊C4—42no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—42no—
1553C4⋊C4C22×D414yes—
1554C4⋊C4C22×D414yes—
1555C4⋊C4C22×D418yes—
1556C4⋊C4C22×D418yes—
1557C22⋊C4—28no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—28no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—22no—
1569C22⋊C4—22no—
1570C22⋊C4—22no—
1571C22⋊C4—22no—
1572C22⋊C4—22no—
1573C22⋊C4—22no—
1574C22⋊C4—22no—
1575C22⋊C4—22no—
1576C22⋊C4—28no—
1577C22⋊C4—28no—
1578C22⋊C4—28no—
1579C22⋊C4—28no—
1580C22⋊C4—28no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—28no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—28no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—28no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—28no—
1599C22⋊C4—44no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—42no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—42no—
1634C22⋊C4—42no—
1635C22⋊C4C22×D418yes—
1636C22⋊C4C22×D418yes—
1637C22⋊C4C22×D418yes—
1638C42—22no—
1639C42—22no—
1640C42—24no—
1641C42—22no—
1642C42—22no—
1643C42—24no—
1644C42—24no—
1645C42—28no—
1646C42—24no—
1647C42—24no—
1648C42—24no—
1649C42—24no—
1650C42—42no—
1651C42—44no—
1652C42—42no—
1653C42—42no—
1654C42—44no—
1655C42—44no—
1656C42—44no—
1657C42—44no—
1658C42C22×D414yes—
1659C42C22×D414yes—
1660C42C22×D414yes—
1661C42C22×D418yes—
1662C42C22×D414yes—
1663C42C22×D418yes—
1664C42C22×D418yes—
1665C23—22no—
1666C23—24no—
1667C23—21no—
1668C23—21no—
1669C23—22no—
1670C23—22no—
1671C23—24no—
1672C23—22no—
1673C23—21no—
1674C23—21no—
1675C23—22no—
1676C23—22no—
1677C23—24no—
1678C23—24no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—24no—
1683C23—21no—
1684C23—21no—
1685C23—22no—
1686C23—24no—
1687C23—22no—
1688C23—22no—
1689C23—24no—
1690C23—22no—
1691C23—24no—
1692C23—21no—
1693C23—21no—
1694C23—22no—
1695C23—24no—
1696C23—24no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—24no—
1701C23—22no—
1702C23—44no—
1703C23—416no—
1704C23—82no—
1705C23—82no—
1706C23—88no—
1707C23—88no—
1708C23—84no—
1709C23—84no—
1710C23—164no—
1711C23—164no—
1712C23—164no—
1713C23—164no—
1714C23C23×D414yes—
1715C23C23×D412yes—
1716C23C2611yescharacteristic
1717Q8—28no—
1718Q8—44no—
1719Q8—48no—
1720Q8—44no—
1721Q8—84no—
1722Q8—84no—
1723Q8—88no—
1724D4—28no—
1725D4—48no—
1726D4—44no—
1727D4—48no—
1728D4—416no—
1729D4—48no—
1730D4—48no—
1731D4—44no—
1732D4—84no—
1733D4—84no—
1734D4—84no—
1735D4—88no—
1736D4—84no—
1737D4—88no—
1738D4—84no—
1739D4—84no—
1740D4—84no—
1741D4—84no—
1742D4—84no—
1743D4—88no—
1744D4—84no—
1745D4—88no—
1746D4—164no—
1747D4—164no—
1748D4—164no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—24no—
1760C2×C4—22no—
1761C2×C4—28no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—24no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—24no—
1781C2×C4—24no—
1782C2×C4—22no—
1783C2×C4—24no—
1784C2×C4—24no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—24no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—24no—
1801C2×C4—24no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—24no—
1805C2×C4—22no—
1806C2×C4—24no—
1807C2×C4—22no—
1808C2×C4—24no—
1809C2×C4—22no—
1810C2×C4—44no—
1811C2×C4—48no—
1812C2×C4—48no—
1813C2×C4—48no—
1814C2×C4—44no—
1815C2×C4—44no—
1816C2×C4—44no—
1817C2×C4—48no—
1818C2×C4—44no—
1819C2×C4—44no—
1820C2×C4—44no—
1821C2×C4—48no—
1822C2×C4—84no—
1823C2×C4—88no—
1824C2×C4—84no—
1825C2×C4—88no—
1826C2×C4—82no—
1827C2×C4—82no—
1828C2×C4—88no—
1829C2×C4C23×D412yes—
1830C2×C4C23×D414yes—
1831C2×C4C23×D412yes—
1832C2×C4C23×D412yes—
1833C2×C4C23×D412yes—
1834C2×C4C23×D412yes—
1835C2×C4C23×D414yes—
1836C2×C4C23×D414yes—
1837C2×C4C23×D412yes—
1838C2×C4#58514yes—
1839C2×C4#58512yes—
1840C2×C4#58512yes—
1841C22—22no—
1842C22—24no—
1843C22—24no—
1844C22—22no—
1845C22—22no—
1846C22—24no—
1847C22—42no—
1848C22—44no—
1849C22—42no—
1850C22—44no—
1851C22—42no—
1852C22—44no—
1853C22—41no—
1854C22—41no—
1855C22—42no—
1856C22—44no—
1857C22—42no—
1858C22—42no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—42no—
1864C22—42no—
1865C22—44no—
1866C22—42no—
1867C22—42no—
1868C22—42no—
1869C22—42no—
1870C22—44no—
1871C22—44no—
1872C22—44no—
1873C22—44no—
1874C22—44no—
1875C22—42no—
1876C22—44no—
1877C22—42no—
1878C22—42no—
1879C22—42no—
1880C22—88no—
1881C22—1616no—
1882C22C24×D411yescharacteristic
1883C22C2×#58512yes—
1884C22C2×#58511yescharacteristic
1885C22C2×#58511yescharacteristic
1886C22H(7,𝔽2)12yes—
1887C4—22no—
1888C4—22no—
1889C4—24no—
1890C4—22no—
1891C4—22no—
1892C4—24no—
1893C4—22no—
1894C4—24no—
1895C4—24no—
1896C4—42no—
1897C4—41no—
1898C4—42no—
1899C4—41no—
1900C4—44no—
1901C4—42no—
1902C4—41no—
1903C4—42no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—42no—
1908C4—42no—
1909C4—42no—
1910C4—42no—
1911C4—44no—
1912C4—42no—
1913C4—44no—
1914C4#344914yes—
1915C2—42no—
1916C2—44no—
1917C2—82no—
1918C2—81no—
1919C2—81no—
1920C2—84no—
1921C2—82no—
1922C2C2×#344911yescharacteristic
1923C2#6281211yescharacteristic
1924C2#6285211yescharacteristic
1925C2#6296612yes—
1926C2#6297012yes—
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×#3514C2semidirect
2. C2×#3455C2semidirect
3. #42882C2semidirect
4. #42881C2semidirect
5. #42878C2semidirect
6. #42877C2semidirect
7. #42431C2semidirect
8. #42430C2semidirect
9. #42427C2semidirect
10. #42426C2semidirect
11. #40507C2semidirect
12. #40506C2semidirect
13. #40503C2semidirect
14. #40502C2semidirect
15. #39891C2semidirect
16. #39888C2semidirect
17. #39886C2semidirect
18. #39885C2semidirect
19. #39875C2semidirect
20. #39872C2semidirect
21. #37606C2semidirect
22. #37552C2semidirect
23. #37133C2semidirect
24. #37132C2semidirect
25. #35611C2semidirect
26. #35538C2semidirect
27. #35301C2semidirect
28. #35220C2semidirect
29. #35212C2semidirect
30. #35210C2semidirect
31. #35198C2semidirect
32. #35131C2semidirect
33. #34977C2semidirect
34. #34877C2semidirect
35. #34125C2semidirect
37. C2×#559C22semidirect
38. C2×#556C22semidirect
40. C2×#551C22semidirect
41. C2×D4×Q8C22semidirect
45. C2×D42C22semidirect
49. C2×#542C22semidirect
50. C2×#542C22semidirect
51. C2×#542C22semidirect
52. C2×#541C22semidirect
53. C2×#541C22semidirect
56. C2×#539C22semidirect
57. C2×#539C22semidirect
59. C2×#538C22semidirect
60. C2×#538C22semidirect
61. C2×#533C22semidirect
65. C2×#529C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
68. C2×#529C22semidirect
69. C2×#529C22semidirect
70. C22×#124C22semidirect
72. C2×#525C22semidirect
73. C2×#518C22semidirect
75. C2×C4×#41C22semidirect
76. C22×#117C22semidirect
77. #2861C22semidirect
78. #2860C22semidirect
79. #2860C22semidirect
80. #2858C22semidirect
81. #2854C22semidirect
82. #2852C22semidirect
83. #2847C22semidirect
84. #2820C22semidirect
85. #2820C22semidirect
87. #2819C22semidirect
88. #2817C22semidirect
89. #2816C22semidirect
90. #2816C22semidirect
92. #2727C22semidirect
93. #2725C22semidirect
94. #2710C22semidirect
95. #2707C22semidirect
96. #2705C22semidirect
97. #2705C22semidirect
98. #2703C22semidirect
99. #2702C22semidirect
100. #2701C22semidirect
101. #2700C22semidirect
102. #2699C22semidirect
103. #2697C22semidirect
104. #2689C22semidirect
105. #2687C22semidirect
106. #2685C22semidirect
107. #2682C22semidirect
108. #2682C22semidirect
109. #2681C22semidirect
110. #2681C22semidirect
111. #2679C22semidirect
112. #2678C22semidirect
113. #2678C22semidirect
114. #2678C22semidirect
115. #2678C22semidirect
116. #2674C22semidirect
117. #2674C22semidirect
118. #2672C22semidirect
119. #2672C22semidirect
121. #2670C22semidirect
123. #2669C22semidirect
124. #2664C22semidirect
125. #2663C22semidirect
126. #2663C22semidirect
128. #2662C22semidirect
129. #2662C22semidirect
130. #2662C22semidirect
131. #2662C22semidirect
132. #2662C22semidirect
133. #2662C22semidirect
135. #2661C22semidirect
136. #2638C22semidirect
137. #2637C22semidirect
138. #2637C22semidirect
139. #2636C22semidirect
140. #2636C22semidirect
142. #2632C22semidirect
143. #2631C22semidirect
144. #2630C22semidirect
145. #2630C22semidirect
146. #2628C22semidirect
147. #2628C22semidirect
150. #2614C22semidirect
151. #2614C22semidirect
153. #2613C22semidirect
154. #2611C22semidirect
155. #2611C22semidirect
156. #2611C22semidirect
159. #2610C22semidirect
160. #2610C22semidirect
161. #2610C22semidirect
162. #2610C22semidirect
163. #2610C22semidirect
164. #2602C22semidirect
165. #2602C22semidirect
166. #2602C22semidirect
167. #2602C22semidirect
168. #2602C22semidirect
169. #2601C22semidirect
170. #2601C22semidirect
171. #2599C22semidirect
172. #2598C22semidirect
173. #2598C22semidirect
174. #2598C22semidirect
175. #2592C22semidirect
177. #2591C22semidirect
178. #2584C22semidirect
179. #2583C22semidirect
180. #2581C22semidirect
181. #2580C22semidirect
182. #2567C22semidirect
183. #2563C22semidirect
184. #2562C22semidirect
185. #2561C22semidirect
186. #2561C22semidirect
187. #2560C22semidirect
188. #2558C22semidirect
189. #2556C22semidirect
190. #2554C22semidirect
191. #2551C22semidirect
192. #2550C22semidirect
193. #2548C22semidirect
194. #2548C22semidirect
195. #2545C22semidirect
196. #2545C22semidirect
197. #2544C22semidirect
199. #2541C22semidirect
201. #2540C22semidirect
203. #2539C22semidirect
204. #2539C22semidirect
205. #2538C22semidirect
206. #2536C22semidirect
207. #2536C22semidirect
208. #2535C22semidirect
209. #2534C22semidirect
210. #2534C22semidirect
211. #2500C22semidirect
212. #2492C22semidirect
213. #2491C22semidirect
214. #2491C22semidirect
215. #2490C22semidirect
216. #2485C22semidirect
217. #2480C22semidirect
218. #2472C22semidirect
219. #2466C22semidirect
220. #2461C22semidirect
221. #2461C22semidirect
222. #2459C22semidirect
223. #2456C22semidirect
224. #2455C22semidirect
225. #2454C22semidirect
226. #2452C22semidirect
227. #2452C22semidirect
228. #2447C22semidirect
229. #2445C22semidirect
230. #2445C22semidirect
231. #2441C22semidirect
232. #2439C22semidirect
233. #2436C22semidirect
234. #2435C22semidirect
235. #2435C22semidirect
236. #2434C22semidirect
238. #2433C22semidirect
239. #2431C22semidirect
240. #2429C22semidirect
241. #2428C22semidirect
242. #2427C22semidirect
243. #2426C22semidirect
244. #2426C22semidirect
245. #2426C22semidirect
246. #2424C22semidirect
249. #2418C22semidirect
250. #2415C22semidirect
251. #2415C22semidirect
252. #2414C22semidirect
253. #2414C22semidirect
254. #2414C22semidirect
255. #2413C22semidirect
256. #2411C22semidirect
257. #2411C22semidirect
258. #2411C22semidirect
261. #2407C22semidirect
262. #2406C22semidirect
263. #2404C22semidirect
264. #2396C22semidirect
265. #2396C22semidirect
268. #2388C22semidirect
269. #2388C22semidirect
270. #2357C22semidirect
271. #2357C22semidirect
272. #2357C22semidirect
273. #2357C22semidirect
274. #2351C22semidirect
275. #2351C22semidirect
276. #2347C22semidirect
277. #2347C22semidirect
279. #2324C22semidirect
280. #2324C22semidirect
281. #2324C22semidirect
282. #2324C22semidirect
283. #2323C22semidirect
284. #2323C22semidirect
285. #2321C22semidirect
286. #2321C22semidirect
287. C4×#127C22semidirect
288. C4×#124C22semidirect
289. C4×#123C22semidirect
290. C4×#121C22semidirect
291. C4×#120C22semidirect
292. #2293C22semidirect
293. #2293C22semidirect
294. #2293C22semidirect
295. #2293C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
298. C42×Q8C22semidirect
299. C4×#117C22semidirect
300. C4×#117C22semidirect
457. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#34552
#428822
#428812
#428782
#428772
#424312
#424302
#424272
#424262
#405072
#405062
#405032
#405022
#398912
#398882
#398862
#398852
#398752
#398722
#376062
#375522
#371332
#371322
#356112
#355382
#353012
#352202
#352122
#352102
#351982
#351312
#349772
#348772
#341252