Finite Group Databasebeta

← #7655423

Subgroups — #7655423

Order 512.

6886 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3521C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#42882C211yesmaximal, characteristic, complemented
4#42878C211yesmaximal, characteristic, complemented
5#42794C211yesmaximal, characteristic, complemented
6#42790C211yesmaximal, characteristic, complemented
7#41387C212yesmaximal, complemented
8#41383C212yesmaximal, complemented
9#40506C212yesmaximal, complemented
10#40502C212yesmaximal, complemented
11#39952C212yesmaximal, complemented
12#39948C212yesmaximal, complemented
13#39885C212yesmaximal, complemented
14#39884C212yesmaximal, complemented
15#39873C214yesmaximal, complemented
16#39872C214yesmaximal, complemented
17#38432C214yesmaximal, complemented
18#38430C214yesmaximal, complemented
19#37560C211yesmaximal, characteristic, complemented
20#37541C212yesmaximal, complemented
21#36439C212yesmaximal, complemented
22#36438C212yesmaximal, complemented
23#36270C212yesmaximal, complemented
24#36268C212yesmaximal, complemented
25#36022C211yesmaximal, characteristic, complemented
26#36011C211yesmaximal, characteristic, complemented
27#35730C211yesmaximal, characteristic, complemented
28#35693C211yesmaximal, characteristic, complemented
29#35201C211yesmaximal, characteristic, complemented
30#35145C212yesmaximal, complemented
31#35143C212yesmaximal, complemented
32#35102C211yesmaximal, characteristic, complemented
33#34965C211yesmaximal, characteristic, complemented
34#34911C212yesmaximal, complemented
35#34125C211yesmaximal, characteristic, complemented
36#3521—216no—
37#3475—216no—
38C2×#556C2211yescharacteristic
39C2×#556C2211yescharacteristic, complemented
40C2×#556C2211yescharacteristic, complemented
41C2×#555C2211yescharacteristic
42C2×#554C2211yescharacteristic, complemented
43C2×#554C2211yescharacteristic, complemented
44C2×#553C2212yes—
45C2×#553C2212yes—
46C2×#553C2211yescharacteristic
47C2×#552C2211yescharacteristic, complemented
48C2×#552C2212yescomplemented
49C2×#552C2212yescomplemented
50C2×#552C2212yescomplemented
51C2×#551C2212yes—
52C2×#551C2214yescomplemented
53C2×#551C2212yescomplemented
54C2×#547C2211yescharacteristic
55C2×#547C2211yescharacteristic
56C2×#546C2211yescharacteristic
57C2×#546C2211yescharacteristic, complemented
58C2×#546C2212yescomplemented
59C2×#542C2211yescharacteristic, complemented
60C2×#541C2211yescharacteristic, complemented
61C2×#539C2212yes—
62C2×#538C2212yes—
63C2×#533C2211yescharacteristic, complemented
64C2×#529C2211yescharacteristic
65C2×#529C2211yescharacteristic
66C2×#529C2212yescomplemented
67C2×#529C2212yescomplemented
68C2×#529C2214yescomplemented
69C22×#126C2212yescomplemented
70C2×#525C2212yes—
71C2×#520C2211yescharacteristic, complemented
72C2×#518C2211yescharacteristic, complemented
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2212yescomplemented
75C22×C4×D4C2211yescharacteristic, complemented
76C22×#117C2212yescomplemented
77#2861C2212yescomplemented
78#2860C2214yescomplemented
79#2860C2214yescomplemented
80#2859C2212yescomplemented
81#2852C2214yescomplemented
82#2852C2214yescomplemented
83#2848C2212yescomplemented
84#2847C2212yes—
85#2822C2212yescomplemented
86#2820C2212yescomplemented
87#2820C2212yescomplemented
88#2819C2212yescomplemented
89#2817C2212yescomplemented
90#2816C2212yes—
91#2727C2214yescomplemented
92#2725C2214yescomplemented
93#2724C2214yescomplemented
94#2718C2214yescomplemented
95#2705C2214yescomplemented
96#2704C2214yescomplemented
97#2703C2214yes—
98#2702C2214yescomplemented
99#2702C2214yescomplemented
100#2701C2214yes—
101#2701C2214yescomplemented
102#2698C2214yescomplemented
103#2697C2214yes—
104#2697C2214yescomplemented
105#2689C2214yescomplemented
106#2685C2214yescomplemented
107#2683C2214yescomplemented
108#2681C2214yescomplemented
109#2681C2214yescomplemented
110#2679C2214yes—
111#2678C2214yes—
112#2678C2214yescomplemented
113#2672C2214yescomplemented
114#2669C2214yes—
115#2664C2212yescomplemented
116#2664C2212yescomplemented
117#2663C2212yes—
118#2663C2214yescomplemented
119#2663C2212yescomplemented
120#2663C2212yescomplemented
121#2663C2212yescomplemented
122#2662C2212yes—
123#2662C2212yescomplemented
124#2661C2214yescomplemented
125#2638C2212yescomplemented
126#2638C2212yescomplemented
127#2637C2212yescomplemented
128#2637C2212yescomplemented
129#2636C2212yes—
130#2636C2212yescomplemented
131#2635C2212yes—
132#2635C2212yescomplemented
133#2634C2212yescomplemented
134#2632C2212yescomplemented
135#2630C2214yescomplemented
136#2630C2214yescomplemented
137#2628C2211yescharacteristic, complemented
138#2628C2211yescharacteristic, complemented
139#2628C2211yescharacteristic, complemented
140#2628C2211yescharacteristic, complemented
141#2623C2212yescomplemented
142#2613C2212yescomplemented
143#2604C2212yescomplemented
144#2604C2212yescomplemented
145#2604C2212yescomplemented
146#2604C2212yescomplemented
147#2603C2211yescharacteristic
148#2603C2211yescharacteristic
149#2603C2212yescomplemented
150#2603C2212yescomplemented
151#2603C2211yescharacteristic, complemented
152#2603C2211yescharacteristic, complemented
153#2602C2214yescomplemented
154#2602C2214yescomplemented
155#2601C2214yescomplemented
156#2601C2214yescomplemented
157#2601C2214yescomplemented
158#2601C2214yescomplemented
159#2601C2214yescomplemented
160#2601C2214yescomplemented
161#2599C2214yescomplemented
162#2598C2214yescomplemented
163#2598C2214yescomplemented
164#2592C2212yescomplemented
165#2591C2212yescomplemented
166#2584C2212yescomplemented
167#2584C2212yescomplemented
168#2583C2212yescomplemented
169#2579C2214yescomplemented
170#2568C2211yescharacteristic, complemented
171#2567C2211yescharacteristic, complemented
172#2566C2212yescomplemented
173#2563C2211yescharacteristic, complemented
174#2562C2212yescomplemented
175#2562C2212yescomplemented
176#2562C2212yescomplemented
177#2561C2212yescomplemented
178#2558C2214yescomplemented
179#2558C2214yescomplemented
180#2556C2214yescomplemented
181#2554C2214yescomplemented
182#2544C2212yes—
183#2542C2211yescharacteristic, complemented
184#2540C2212yes—
185#2540C2212yescomplemented
186#2539C2212yes—
187#2538C2212yescomplemented
188#2538C2212yescomplemented
189#2536C2211yescharacteristic, complemented
190#2536C2211yescharacteristic, complemented
191#2536C2212yescomplemented
192#2536C2212yescomplemented
193#2535C2211yescharacteristic
194#2535C2211yescharacteristic
195#2534C2214yescomplemented
196#2519C2214yescomplemented
197#2506C2214yescomplemented
198#2504C2211yescharacteristic
199#2502C2211yescharacteristic, complemented
200#2500C2212yes—
201#2499C2212yescomplemented
202#2485C2212yes—
203#2485C2212yescomplemented
204#2484C2212yescomplemented
205#2482C2212yescomplemented
206#2480C2214yescomplemented
207#2478C2214yescomplemented
208#2476C2214yescomplemented
209#2474C2214yes—
210#2474C2214yescomplemented
211#2472C2214yes—
212#2472C2214yescomplemented
213#2470C2214yescomplemented
214#2470C2214yescomplemented
215#2461C2214yescomplemented
216#2461C2214yescomplemented
217#2459C2214yescomplemented
218#2457C2214yescomplemented
219#2455C2214yescomplemented
220#2445C2214yes—
221#2442C2212yescomplemented
222#2441C2212yescomplemented
223#2440C2212yescomplemented
224#2439C2212yescomplemented
225#2435C2211yescharacteristic, complemented
226#2433C2211yescharacteristic
227#2429C2212yescomplemented
228#2429C2212yescomplemented
229#2426C2212yescomplemented
230#2426C2212yescomplemented
231#2424C2214yescomplemented
232#2422C2212yescomplemented
233#2422C2212yescomplemented
234#2420C2212yescomplemented
235#2420C2212yescomplemented
236#2418C2214yescomplemented
237#2418C2214yescomplemented
238#2417C2212yescomplemented
239#2416C2212yescomplemented
240#2415C2212yescomplemented
241#2415C2214yescomplemented
242#2415C2214yescomplemented
243#2414C2214yescomplemented
244#2414C2212yescomplemented
245#2413C2214yescomplemented
246#2411C2212yes—
247#2411C2214yescomplemented
248#2411C2212yescomplemented
249#2408C2212yescomplemented
250#2408C2212yescomplemented
251#2407C2212yescomplemented
252#2407C2212yescomplemented
253#2406C2212yescomplemented
254#2404C2212yes—
255#2395C2212yescomplemented
256#2395C2212yescomplemented
257#2392C2211yescharacteristic
258#2392C2211yescharacteristic
259#2392C2211yescharacteristic, complemented
260#2392C2211yescharacteristic, complemented
261#2388C2212yes—
262#2388C2212yescomplemented
263#2363C2212yescomplemented
264#2362C2212yescomplemented
265#2361C2212yescomplemented
266#2360C2212yescomplemented
267#2357C2212yescomplemented
268#2357C2212yescomplemented
269#2357C2211yescharacteristic, complemented
270#2357C2211yescharacteristic, complemented
271#2354C2212yescomplemented
272#2352C2212yescomplemented
273#2352C2212yescomplemented
274#2351C2211yescharacteristic, complemented
275#2351C2211yescharacteristic, complemented
276D4×C4⋊C4C2212yescomplemented
277#2347C2212yescomplemented
278#2347C2214yescomplemented
279#2341C2212yes—
280#2323C2214yescomplemented
281#2322C2214yescomplemented
282#2322C2214yescomplemented
283#2321C2214yescomplemented
284#2321C2214yescomplemented
285#2321C2214yescomplemented
286C4×#127C2212yes—
287C4×#124C2212yescomplemented
288C4×C22⋊Q8C2214yescomplemented
289C4×#121C2214yescomplemented
290C4×#120C2212yes—
291C4×#120C2212yescomplemented
292#2293C2212yescomplemented
293#2293C2214yescomplemented
294#2293C2214yescomplemented
295#2293C2214yescomplemented
296#2283C2211yescharacteristic, complemented
297#2283C2212yescomplemented
298C42×Q8C2212yescomplemented
299C4×#117C2212yescomplemented
300C4×#117C2211yescharacteristic, complemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×D4C2311yescharacteristic
305C23×D4C2311yescharacteristic
306C24×C4C2312yes—
307#556—28no—
308#556—28no—
309#556—28no—
310#555—28no—
311#554—28no—
312#554—28no—
313#553—216no—
314#553—216no—
315#553—28no—
316#552—216no—
317#552—28no—
318#552—216no—
319#552—216no—
320#551—216no—
321#551—232no—
322#551—216no—
323#547—28no—
324#547—28no—
325#546—28no—
326#546—216no—
327#546—28no—
328#542—28no—
329#541—28no—
330#539—216no—
331#538—216no—
332#533—28no—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×#127C2312yes—
338#529—232no—
339#529—28no—
340#529—28no—
341#529—216no—
342#529—216no—
343C2×#126—216no—
344C2×#126C2312yes—
345C2×#126C2312yes—
346C2×#126C2312yes—
347C2×#126C2312yes—
348C2×#126C2314yes—
349C2×#126C2311yescharacteristic
350C2×#126C2312yes—
351C2×#126C2311yescharacteristic
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#125C2311yescharacteristic
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2311yescharacteristic
364C2×#125C2314yes—
365C2×#125C2312yes—
366C2×#125C2311yescharacteristic
367C2×#125C2312yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2311yescharacteristic
371C2×#124C2311yescharacteristic
372C2×#124C2314yes—
373C2×#124C2311yescharacteristic
374C2×#124C2312yes—
375C2×#124C2312yes—
376#525—216no—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×#123C2311yescharacteristic
382C2×#123C2311yescharacteristic
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×#121C2311yescharacteristic
414C2×#121C2312yes—
415C2×#121C2311yescharacteristic
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2311yescharacteristic
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#120C2314yes—
428C2×#120C2312yes—
429C2×#120C2312yes—
430C2×#120C2314yes—
431C2×#120C2314yes—
432C2×#120C2314yes—
433C2×#120C2312yes—
434C2×#120C2312yes—
435#520—28no—
436#518—28no—
437C4×#41—216no—
438C4×#41D4116yescomplemented
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×D4—28no—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2314yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×#117—216no—
485C2×#117C2312yes—
486C2×#117C2314yes—
487C2×#117C2314yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2311yescharacteristic
491C2×#117C2312yes—
492C2×#117C2311yescharacteristic
493C2×#117C2311yescharacteristic
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2314yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2314yes—
501C2×#117C2311yescharacteristic
502C2×#117C2312yes—
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2311yescharacteristic
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C22⋊C4C2312yes—
511C22×C22⋊C4C2312yes—
512C22×C22⋊C4C2312yes—
513C22×C22⋊C4C2312yes—
514C22×C22⋊C4C2314yes—
515C22×C22⋊C4C2312yes—
516C22×C42C2314yes—
517C22×C42C2311yescharacteristic
518C22×C42C2312yes—
519#400C2312yes—
520#400C2314yes—
521#400C2312yes—
522#400C2312yes—
523#400C2314yes—
524#400C2312yes—
525#400C2314yes—
526#400C2312yes—
527#400C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2314yes—
531#399C2312yes—
532#399C2314yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#398C2314yes—
537#398C2311yescharacteristic
538#398C2312yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2311yescharacteristic
545#398C2311yescharacteristic
546#398C2312yes—
547#398C2314yes—
548#398C2314yes—
549#398C2311yescharacteristic
550#397C2311yescharacteristic
551#397C2312yes—
552#397C2314yes—
553#397C2314yes—
554#397C2311yescharacteristic
555#397C2314yes—
556#397C2311yescharacteristic
557#397C2312yes—
558#397C2314yes—
559#397C2314yes—
560#397C2311yescharacteristic
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2312yes—
570#396C2312yes—
571#396C2312yes—
572#396C2312yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#395C2312yes—
582#395C2312yes—
583#395C2314yes—
584#395C2312yes—
585#395C2314yes—
586#395C2312yes—
587#395C2312yes—
588#395C2312yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2311yescharacteristic
593#394C2314yes—
594#394C2312yes—
595#394C2314yes—
596#394C2314yes—
597#394C2311yescharacteristic
598#394C2312yes—
599#394C2314yes—
600#394C2311yescharacteristic
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2311yescharacteristic
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2314yes—
619#394C2314yes—
620#393C2312yes—
621#393C2312yes—
622#393C2312yes—
623#393C2312yes—
624#393C2314yes—
625#393C2312yes—
626#393C2312yes—
627#392C2311yescharacteristic
628#392C2314yes—
629#392C2312yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#392C2311yescharacteristic
634#392C2311yescharacteristic
635#392C2312yes—
636#392C2311yescharacteristic
637#392C2314yes—
638#392C2314yes—
639#391C2312yes—
640#391C2314yes—
641#391C2312yes—
642#391C2314yes—
643#391C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2314yes—
653#390C2314yes—
654#390C2314yes—
655#390C2314yes—
656#390C2314yes—
657#390C2312yes—
658#390C2312yes—
659#390C2314yes—
660#390C2314yes—
661#390C2314yes—
662#390C2314yes—
663#390C2314yes—
664#390C2314yes—
665#390C2312yes—
666#389C2314yes—
667#389C2314yes—
668#389C2314yes—
669#389C2314yes—
670#389C2314yes—
671#389C2314yes—
672#389C2314yes—
673#389C2314yes—
674#389C2314yes—
675#389C2314yes—
676#389C2314yes—
677#389C2314yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2314yes—
683#389C2314yes—
684#389C2312yes—
685#389C2312yes—
686#389C2314yes—
687#389C2314yes—
688#389C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2312yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2312yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2312yes—
729#388C2312yes—
730#388C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#386C2312yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2312yes—
754#386C2314yes—
755#386C2314yes—
756#386C2312yes—
757#386C2314yes—
758#386C2314yes—
759#386C2312yes—
760#386C2312yes—
761#386C2312yes—
762#385C2312yes—
763#385C2312yes—
764#385C2312yes—
765#385C2312yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2312yes—
780#385C2312yes—
781#384C2312yes—
782#384C2312yes—
783#384C2312yes—
784#383C2314yes—
785#383C2312yes—
786#382C2312yes—
787#382C2312yes—
788#382C2312yes—
789#382C2312yes—
790#382C2312yes—
791#382C2311yescharacteristic
792#382C2311yescharacteristic
793#381C2312yes—
794#381C2314yes—
795#381C2314yes—
796#381C2312yes—
797#381C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2314yes—
807#380C2314yes—
808#380C2314yes—
809#380C2314yes—
810#380C2312yes—
811#379C2314yes—
812#379C2314yes—
813#379C2314yes—
814#379C2312yes—
815#379C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846#376C2311yescharacteristic
847#376C2311yescharacteristic
848#376C2312yes—
849C43C2312yes—
850C43C2314yes—
851C25C2412yes—
852C25C2412yes—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—48no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—42no—
859C2×#41—42no—
860C2×#41C2×D418yes—
861C22×Q8C2411yescharacteristic
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×D4—24no—
868C22×D4—24no—
869C22×D4—42no—
870C22×D4—42no—
871C22×D4—44no—
872C22×D4C2411yescharacteristic
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2412yes—
893C23×C4—28no—
894C23×C4—44no—
895C23×C4—44no—
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2412yes—
900C23×C4C2414yes—
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2414yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C4⋊Q8—24no—
918C4⋊Q8—24no—
919C4⋊Q8—24no—
920C4⋊Q8—24no—
921#127—44no—
922#126—216no—
923#126—28no—
924#126—28no—
925#126—216no—
926#126—28no—
927#126—24no—
928#126—28no—
929#126—28no—
930#126—28no—
931#126—28no—
932#126—28no—
933#126—28no—
934#126—28no—
935#126—24no—
936#126—216no—
937#125—216no—
938#125—28no—
939#125—28no—
940#125—24no—
941#125—28no—
942#125—24no—
943#125—24no—
944#125—28no—
945#125—28no—
946#124—24no—
947#124—216no—
948#124—28no—
949#124—28no—
950#124—24no—
951#124—28no—
952#124—24no—
953#124—44no—
954#123—216no—
955#123—28no—
956#123—28no—
957#123—28no—
958#123—28no—
959#123—24no—
960#123—216no—
961#123—24no—
962#123—216no—
963#123—28no—
964#123—28no—
965#123—216no—
966#123—28no—
967#123—28no—
968#123—48no—
969#123—48no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—24no—
973C22⋊Q8—24no—
974C22⋊Q8—24no—
975C22⋊Q8—28no—
976C22⋊Q8—24no—
977C22⋊Q8—28no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—216no—
981C22⋊Q8—28no—
982C22⋊Q8—24no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—48no—
987C22⋊Q8—48no—
988C22⋊Q8—44no—
989C22⋊Q8—44no—
990#121—28no—
991#121—28no—
992#121—28no—
993#121—28no—
994#121—24no—
995#121—24no—
996#121—28no—
997#121—28no—
998#121—24no—
999#121—216no—
1000#121—28no—
1001#121—48no—
1002#121—44no—
1003#121—44no—
1004#120—216no—
1005#120—28no—
1006#120—28no—
1007#120—44no—
1008#120—44no—
1009#120—48no—
1010#120—48no—
1011#120—48no—
1012C4×Q8—24no—
1013C4×Q8—28no—
1014C4×Q8—28no—
1015C4×Q8—24no—
1016C4×Q8—28no—
1017C4×Q8—28no—
1018C4×Q8—24no—
1019C4×Q8—44no—
1020C4×Q8—44no—
1021C4×Q8C2×D418yes—
1022C4×Q8C2×D418yes—
1023C4×D4—24no—
1024C4×D4—24no—
1025C4×D4—216no—
1026C4×D4—216no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—216no—
1030C4×D4—24no—
1031C4×D4—24no—
1032C4×D4—28no—
1033C4×D4—24no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—28no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—24no—
1042C4×D4—28no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—44no—
1049C4×D4—44no—
1050C4×D4—48no—
1051C4×D4—48no—
1052C4×D4C2×D418yes—
1053C4×D4C2×D4116yes—
1054C4×D4C2×D418yes—
1055C4×D4C2×D4116yes—
1056#117—28no—
1057#117—28no—
1058#117—28no—
1059#117—28no—
1060#117—24no—
1061#117—216no—
1062#117—28no—
1063#117—216no—
1064#117—216no—
1065#117—24no—
1066#117—24no—
1067#117—28no—
1068#117—28no—
1069#117—28no—
1070#117—44no—
1071#117—48no—
1072#117C2×D418yes—
1073#117C2×D4116yes—
1074C2×C4⋊C4—24no—
1075C2×C4⋊C4—28no—
1076C2×C4⋊C4—28no—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4—28no—
1079C2×C4⋊C4—28no—
1080C2×C4⋊C4—24no—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C22⋊C4—28no—
1147C2×C22⋊C4—28no—
1148C2×C22⋊C4—28no—
1149C2×C22⋊C4—28no—
1150C2×C22⋊C4—216no—
1151C2×C22⋊C4—28no—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C42—216no—
1231C2×C42C2×D418yes—
1232C2×C42C2×D4116yes—
1233C2×C42C2414yes—
1234C2×C42C2412yes—
1235C2×C42C2414yes—
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2414yes—
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2414yes—
1246C2×C42C2414yes—
1247C2×C42C2414yes—
1248C2×C42C2414yes—
1249C2×C42C2414yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2411yescharacteristic
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257C2×C42C2412yes—
1258C2×C42C2411yescharacteristic
1259#95C2412yes—
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2412yes—
1263#95C2414yes—
1264#95C2411yescharacteristic
1265#95C2412yes—
1266#95C2412yes—
1267#95C2411yescharacteristic
1268#95C2412yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
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#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303C24—24no—
1304C24—24no—
1305C24—24no—
1306C24—42no—
1307C24—42no—
1308C24—42no—
1309C24—42no—
1310C24—42no—
1311C24—42no—
1312C24—42no—
1313C24—44no—
1314C24—44no—
1315C24C2511yescharacteristic
1316C24C2512yes—
1317C24C2512yes—
1318C24C2511yescharacteristic
1319C24C2511yescharacteristic
1320C24C2512yes—
1321C24C2512yes—
1322#41—416no—
1323#41—432no—
1324#41—416no—
1325C2×Q8—24no—
1326C2×Q8—22no—
1327C2×Q8—22no—
1328C2×Q8—24no—
1329C2×Q8—24no—
1330C2×Q8—22no—
1331C2×Q8—22no—
1332C2×Q8—22no—
1333C2×Q8—22no—
1334C2×Q8—44no—
1335C2×Q8—44no—
1336C2×Q8—44no—
1337C2×Q8—42no—
1338C2×Q8C22×D414yes—
1339C2×D4—24no—
1340C2×D4—28no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—28no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—28no—
1349C2×D4—22no—
1350C2×D4—28no—
1351C2×D4—24no—
1352C2×D4—22no—
1353C2×D4—24no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—24no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—44no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—44no—
1380C2×D4—42no—
1381C2×D4—44no—
1382C2×D4—42no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—416no—
1394C2×D4—416no—
1395C2×D4C22×D414yes—
1396C2×D4C22×D418yes—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—28no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—28no—
1406C22×C4—24no—
1407C22×C4—22no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—28no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—44no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—432no—
1446C22×C4C22×D414yes—
1447C22×C4C22×D414yes—
1448C22×C4C22×D418yes—
1449C22×C4C22×D418yes—
1450C22×C4C22×D418yes—
1451C22×C4C22×D414yes—
1452C22×C4C2512yes—
1453C22×C4C2514yes—
1454C22×C4C2514yes—
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2514yes—
1460C22×C4C2514yes—
1461C22×C4C2512yes—
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C22×C4C2511yescharacteristic
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2512yes—
1473C22×C4C2511yescharacteristic
1474C22×C4C2511yescharacteristic
1475C22×C4C2512yes—
1476C22×C4C2511yescharacteristic
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2511yescharacteristic
1480C4⋊C4—22no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—28no—
1488C4⋊C4—28no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—24no—
1506C4⋊C4—28no—
1507C4⋊C4—28no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—28no—
1513C4⋊C4—24no—
1514C4⋊C4—22no—
1515C4⋊C4—22no—
1516C4⋊C4—28no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—28no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—28no—
1524C4⋊C4—44no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—44no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4C22×D414yes—
1542C4⋊C4C22×D414yes—
1543C4⋊C4C22×D418yes—
1544C4⋊C4C22×D418yes—
1545C22⋊C4—28no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—28no—
1549C22⋊C4—22no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—22no—
1553C22⋊C4—24no—
1554C22⋊C4—28no—
1555C22⋊C4—24no—
1556C22⋊C4—22no—
1557C22⋊C4—24no—
1558C22⋊C4—22no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—24no—
1562C22⋊C4—28no—
1563C22⋊C4—28no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—22no—
1576C22⋊C4—28no—
1577C22⋊C4—22no—
1578C22⋊C4—22no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—22no—
1583C22⋊C4—28no—
1584C22⋊C4—24no—
1585C22⋊C4—28no—
1586C22⋊C4—28no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—42no—
1590C22⋊C4—44no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4C22×D418yes—
1621C22⋊C4C22×D418yes—
1622C22⋊C4C22×D418yes—
1623C42—28no—
1624C42—28no—
1625C42—28no—
1626C42—24no—
1627C42—24no—
1628C42—24no—
1629C42—22no—
1630C42—22no—
1631C42—24no—
1632C42—24no—
1633C42—24no—
1634C42—44no—
1635C42—42no—
1636C42—44no—
1637C42—44no—
1638C42—44no—
1639C42—44no—
1640C42—42no—
1641C42—42no—
1642C42C22×D418yes—
1643C42C22×D414yes—
1644C42C22×D418yes—
1645C42C22×D414yes—
1646C42C22×D414yes—
1647C42C22×D414yes—
1648C42C22×D418yes—
1649C23—22no—
1650C23—22no—
1651C23—24no—
1652C23—22no—
1653C23—22no—
1654C23—24no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—21no—
1659C23—21no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—21no—
1664C23—22no—
1665C23—22no—
1666C23—21no—
1667C23—22no—
1668C23—24no—
1669C23—22no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—22no—
1675C23—24no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—48no—
1686C23—48no—
1687C23—48no—
1688C23—84no—
1689C23—84no—
1690C23—84no—
1691C23—84no—
1692C23—84no—
1693C23—84no—
1694C23—84no—
1695C23—164no—
1696C23—164no—
1697C23C23×D412yes—
1698C23C23×D414yes—
1699C23#58514yes—
1700C23C2611yescharacteristic
1701Q8—28no—
1702Q8—48no—
1703Q8—44no—
1704Q8—82no—
1705Q8—84no—
1706Q8—84no—
1707D4—28no—
1708D4—28no—
1709D4—48no—
1710D4—48no—
1711D4—48no—
1712D4—44no—
1713D4—416no—
1714D4—48no—
1715D4—48no—
1716D4—44no—
1717D4—84no—
1718D4—82no—
1719D4—84no—
1720D4—88no—
1721D4—84no—
1722D4—84no—
1723D4—82no—
1724D4—88no—
1725D4—82no—
1726D4—84no—
1727D4—164no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—28no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—24no—
1767C2×C4—24no—
1768C2×C4—24no—
1769C2×C4—24no—
1770C2×C4—24no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—24no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—24no—
1783C2×C4—24no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—24no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—48no—
1790C2×C4—44no—
1791C2×C4—44no—
1792C2×C4—48no—
1793C2×C4—48no—
1794C2×C4—416no—
1795C2×C4—48no—
1796C2×C4—48no—
1797C2×C4—48no—
1798C2×C4—48no—
1799C2×C4—48no—
1800C2×C4—48no—
1801C2×C4—44no—
1802C2×C4—44no—
1803C2×C4—84no—
1804C2×C4—84no—
1805C2×C4—88no—
1806C2×C4—84no—
1807C2×C4—84no—
1808C2×C4—84no—
1809C2×C4C23×D412yes—
1810C2×C4C23×D414yes—
1811C2×C4C23×D412yes—
1812C2×C4C23×D414yes—
1813C2×C4C23×D412yes—
1814C2×C4C23×D412yes—
1815C2×C4C23×D414yes—
1816C2×C4C23×D412yes—
1817C2×C4C23×D412yes—
1818C2×C4#58514yes—
1819C2×C4#58512yes—
1820C2×C4#58512yes—
1821C22—24no—
1822C22—24no—
1823C22—24no—
1824C22—24no—
1825C22—22no—
1826C22—24no—
1827C22—22no—
1828C22—22no—
1829C22—24no—
1830C22—42no—
1831C22—42no—
1832C22—44no—
1833C22—42no—
1834C22—42no—
1835C22—44no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—44no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—44no—
1848C22—41no—
1849C22—42no—
1850C22—42no—
1851C22—41no—
1852C22—42no—
1853C22—41no—
1854C22—42no—
1855C22—41no—
1856C22—42no—
1857C22—41no—
1858C22—41no—
1859C22—42no—
1860C22—816no—
1861C22—168no—
1862C22C24×D411yescharacteristic
1863C22C2×#58511yescharacteristic
1864C22C2×#58512yes—
1865C22C2×#58512yes—
1866C22C2×#58511yescharacteristic
1867C4—24no—
1868C4—24no—
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—24no—
1873C4—22no—
1874C4—22no—
1875C4—24no—
1876C4—42no—
1877C4—44no—
1878C4—42no—
1879C4—42no—
1880C4—44no—
1881C4—44no—
1882C4—42no—
1883C4—41no—
1884C4—41no—
1885C4—41no—
1886C4—42no—
1887C4—44no—
1888C4—41no—
1889C4—42no—
1890C4—42no—
1891C4—41no—
1892C4—41no—
1893C4—42no—
1894C4#344914yes—
1895C2—44no—
1896C2—42no—
1897C2—44no—
1898C2—81no—
1899C2—82no—
1900C2—82no—
1901C2—81no—
1902C2C2×#344911yescharacteristic
1903C2#6281111yescharacteristic
1904C2#6281211yescharacteristic
1905C2#6302712yes—
1906C2#6302912yes—
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×#3521C2semidirect
2. C2×#3475C2semidirect
3. #42882C2semidirect
4. #42878C2semidirect
5. #42794C2semidirect
6. #42790C2semidirect
7. #41387C2semidirect
8. #41383C2semidirect
9. #40506C2semidirect
10. #40502C2semidirect
11. #39952C2semidirect
12. #39948C2semidirect
13. #39885C2semidirect
14. #39884C2semidirect
15. #39873C2semidirect
16. #39872C2semidirect
17. #38432C2semidirect
18. #38430C2semidirect
19. #37560C2semidirect
20. #37541C2semidirect
21. #36439C2semidirect
22. #36438C2semidirect
23. #36270C2semidirect
24. #36268C2semidirect
25. #36022C2semidirect
26. #36011C2semidirect
27. #35730C2semidirect
28. #35693C2semidirect
29. #35201C2semidirect
30. #35145C2semidirect
31. #35143C2semidirect
32. #35102C2semidirect
33. #34965C2semidirect
34. #34911C2semidirect
35. #34125C2semidirect
39. C2×#556C22semidirect
40. C2×#556C22semidirect
42. C2×#554C22semidirect
43. C2×#554C22semidirect
47. C2×#552C22semidirect
48. C2×#552C22semidirect
49. C2×#552C22semidirect
50. C2×#552C22semidirect
52. C2×#551C22semidirect
53. C2×#551C22semidirect
57. C2×#546C22semidirect
58. C2×#546C22semidirect
59. C2×#542C22semidirect
60. C2×#541C22semidirect
63. C2×#533C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
68. C2×#529C22semidirect
69. C22×#126C22semidirect
71. C2×#520C22semidirect
72. C2×#518C22semidirect
74. C2×C4×#41C22semidirect
75. C22×C4×D4C22semidirect
76. C22×#117C22semidirect
77. #2861C22semidirect
78. #2860C22semidirect
79. #2860C22semidirect
80. #2859C22semidirect
81. #2852C22semidirect
82. #2852C22semidirect
83. #2848C22semidirect
85. #2822C22semidirect
86. #2820C22semidirect
87. #2820C22semidirect
88. #2819C22semidirect
89. #2817C22semidirect
91. #2727C22semidirect
92. #2725C22semidirect
93. #2724C22semidirect
94. #2718C22semidirect
95. #2705C22semidirect
96. #2704C22semidirect
98. #2702C22semidirect
99. #2702C22semidirect
101. #2701C22semidirect
102. #2698C22semidirect
104. #2697C22semidirect
105. #2689C22semidirect
106. #2685C22semidirect
107. #2683C22semidirect
108. #2681C22semidirect
109. #2681C22semidirect
112. #2678C22semidirect
113. #2672C22semidirect
115. #2664C22semidirect
116. #2664C22semidirect
118. #2663C22semidirect
119. #2663C22semidirect
120. #2663C22semidirect
121. #2663C22semidirect
123. #2662C22semidirect
124. #2661C22semidirect
125. #2638C22semidirect
126. #2638C22semidirect
127. #2637C22semidirect
128. #2637C22semidirect
130. #2636C22semidirect
132. #2635C22semidirect
133. #2634C22semidirect
134. #2632C22semidirect
135. #2630C22semidirect
136. #2630C22semidirect
137. #2628C22semidirect
138. #2628C22semidirect
139. #2628C22semidirect
140. #2628C22semidirect
141. #2623C22semidirect
142. #2613C22semidirect
143. #2604C22semidirect
144. #2604C22semidirect
145. #2604C22semidirect
146. #2604C22semidirect
149. #2603C22semidirect
150. #2603C22semidirect
151. #2603C22semidirect
152. #2603C22semidirect
153. #2602C22semidirect
154. #2602C22semidirect
155. #2601C22semidirect
156. #2601C22semidirect
157. #2601C22semidirect
158. #2601C22semidirect
159. #2601C22semidirect
160. #2601C22semidirect
161. #2599C22semidirect
162. #2598C22semidirect
163. #2598C22semidirect
164. #2592C22semidirect
165. #2591C22semidirect
166. #2584C22semidirect
167. #2584C22semidirect
168. #2583C22semidirect
169. #2579C22semidirect
170. #2568C22semidirect
171. #2567C22semidirect
172. #2566C22semidirect
173. #2563C22semidirect
174. #2562C22semidirect
175. #2562C22semidirect
176. #2562C22semidirect
177. #2561C22semidirect
178. #2558C22semidirect
179. #2558C22semidirect
180. #2556C22semidirect
181. #2554C22semidirect
183. #2542C22semidirect
185. #2540C22semidirect
187. #2538C22semidirect
188. #2538C22semidirect
189. #2536C22semidirect
190. #2536C22semidirect
191. #2536C22semidirect
192. #2536C22semidirect
195. #2534C22semidirect
196. #2519C22semidirect
197. #2506C22semidirect
199. #2502C22semidirect
201. #2499C22semidirect
203. #2485C22semidirect
204. #2484C22semidirect
205. #2482C22semidirect
206. #2480C22semidirect
207. #2478C22semidirect
208. #2476C22semidirect
210. #2474C22semidirect
212. #2472C22semidirect
213. #2470C22semidirect
214. #2470C22semidirect
215. #2461C22semidirect
216. #2461C22semidirect
217. #2459C22semidirect
218. #2457C22semidirect
219. #2455C22semidirect
221. #2442C22semidirect
222. #2441C22semidirect
223. #2440C22semidirect
224. #2439C22semidirect
225. #2435C22semidirect
227. #2429C22semidirect
228. #2429C22semidirect
229. #2426C22semidirect
230. #2426C22semidirect
231. #2424C22semidirect
232. #2422C22semidirect
233. #2422C22semidirect
234. #2420C22semidirect
235. #2420C22semidirect
236. #2418C22semidirect
237. #2418C22semidirect
238. #2417C22semidirect
239. #2416C22semidirect
240. #2415C22semidirect
241. #2415C22semidirect
242. #2415C22semidirect
243. #2414C22semidirect
244. #2414C22semidirect
245. #2413C22semidirect
247. #2411C22semidirect
248. #2411C22semidirect
249. #2408C22semidirect
250. #2408C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2406C22semidirect
255. #2395C22semidirect
256. #2395C22semidirect
259. #2392C22semidirect
260. #2392C22semidirect
262. #2388C22semidirect
263. #2363C22semidirect
264. #2362C22semidirect
265. #2361C22semidirect
266. #2360C22semidirect
267. #2357C22semidirect
268. #2357C22semidirect
269. #2357C22semidirect
270. #2357C22semidirect
271. #2354C22semidirect
272. #2352C22semidirect
273. #2352C22semidirect
274. #2351C22semidirect
275. #2351C22semidirect
276. D4×C4⋊C4C22semidirect
277. #2347C22semidirect
278. #2347C22semidirect
280. #2323C22semidirect
281. #2322C22semidirect
282. #2322C22semidirect
283. #2321C22semidirect
284. #2321C22semidirect
285. #2321C22semidirect
287. C4×#124C22semidirect
288. C4×C22⋊Q8C22semidirect
289. 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
438. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35212
C2×#34752
#428822
#428782
#427942
#427902
#413872
#413832
#405062
#405022
#399522
#399482
#398852
#398842
#398732
#398722
#384322
#384302
#375602
#375412
#364392
#364382
#362702
#362682
#360222
#360112
#357302
#356932
#352012
#351452
#351432
#351022
#349652
#349112
#341252