Finite Group Databasebeta

← #7658545

Subgroups — #7658545

Order 512.

7190 conjugacy classes of subgroups.

The subgroup lattice has 1968 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C211yesmaximal, characteristic, complemented
2C2×#3513C211yesmaximal, characteristic, complemented
3#42651C211yesmaximal, characteristic, complemented
4#42647C211yesmaximal, characteristic, complemented
5#42475C212yesmaximal, complemented
6#42474C212yesmaximal, complemented
7#42439C212yesmaximal, complemented
8#42438C212yesmaximal, complemented
9#42430C211yesmaximal, characteristic, complemented
10#42426C211yesmaximal, characteristic, complemented
11#41415C214yesmaximal, complemented
12#41386C212yesmaximal, complemented
13#41382C212yesmaximal, complemented
14#40597C214yesmaximal, complemented
15#40529C214yesmaximal, complemented
16#40528C214yesmaximal, complemented
17#40506C212yesmaximal, complemented
18#40502C212yesmaximal, complemented
19#37621C211yesmaximal, characteristic, complemented
20#37616C211yesmaximal, characteristic, complemented
21#37553C211yesmaximal, characteristic, complemented
22#37448C212yesmaximal, complemented
23#37443C212yesmaximal, complemented
24#37440C212yesmaximal, complemented
25#36684C211yesmaximal, characteristic, complemented
26#36652C212yesmaximal, complemented
27#36022C211yesmaximal, characteristic, complemented
28#36015C212yesmaximal, complemented
29#36011C211yesmaximal, characteristic, complemented
30#35823C212yesmaximal, complemented
31#35808C212yesmaximal, complemented
32#35768C212yesmaximal, complemented
33#35741C211yesmaximal, characteristic, complemented
34#35704C211yesmaximal, characteristic, complemented
35#34186C211yesmaximal, characteristic, complemented
36#3519—216no—
37#3513—216no—
38C2×#559C2211yescharacteristic
39C2×#555C2211yescharacteristic
40C2×#554C2211yescharacteristic, complemented
41C2×#554C2211yescharacteristic, complemented
42C2×#553C2211yescharacteristic
43C2×#553C2212yescomplemented
44C2×#553C2212yescomplemented
45C2×#553C2212yescomplemented
46C2×#552C2211yescharacteristic, complemented
47C2×#551C2212yescomplemented
48C2×#551C2212yescomplemented
49C2×#550C2211yescharacteristic
50C2×#547C2211yescharacteristic, complemented
51C2×#546C2211yescharacteristic
52C2×#546C2212yescomplemented
53C2×#546C2211yescharacteristic, complemented
54C2×#546C2212yescomplemented
55C2×#546C2214yescomplemented
56C2×D42C2211yescharacteristic
57C2×D42C2212yes—
58C2×D42C2211yescharacteristic, complemented
59C2×#542C2211yescharacteristic
60C2×#540C2211yescharacteristic
61C2×#540C2212yes—
62C2×#539C2212yescomplemented
63C2×#538C2212yescomplemented
64C2×#538C2214yescomplemented
65C2×#532C2211yescharacteristic, complemented
66C2×#529C2211yescharacteristic, complemented
67C2×#529C2211yescharacteristic, complemented
68C2×#529C2211yescharacteristic, complemented
69C2×#525C2212yescomplemented
70C2×#525C2212yescomplemented
71C22×#123C2212yescomplemented
72C22×#121C2212yescomplemented
73C2×#520C2211yescharacteristic, complemented
74C2×#518C2211yescharacteristic, complemented
75C2×#518C2212yescomplemented
76C22×C4×D4C2211yescharacteristic
77#2823C2212yescomplemented
78#2823C2212yescomplemented
79#2822C2211yescharacteristic, complemented
80#2820C2211yescharacteristic, complemented
81#2820C2211yescharacteristic, complemented
82#2819C2211yescharacteristic, complemented
83#2817C2212yescomplemented
84#2816C2212yescomplemented
85#2816C2212yescomplemented
86#2815C2212yescomplemented
87#2814C2211yescharacteristic, complemented
88#2814C2212yescomplemented
89#2814C2214yescomplemented
90#2814C2211yescharacteristic, complemented
91#2814C2212yescomplemented
92#2813C2211yescharacteristic
93#2813C2212yescomplemented
94#2813C2212yescomplemented
95#2813C2214yescomplemented
96#2813C2212yescomplemented
97#2813C2212yescomplemented
98#2813C2212yescomplemented
99#2813C2211yescharacteristic, complemented
100#2813C2212yescomplemented
101#2812C2214yescomplemented
102#2812C2214yescomplemented
103#2706C2214yescomplemented
104#2703C2214yescomplemented
105#2701C2214yescomplemented
106#2700C2214yescomplemented
107#2699C2214yescomplemented
108#2698C2214yescomplemented
109#2697C2214yescomplemented
110#2687C2214yescomplemented
111#2685C2214yescomplemented
112#2682C2214yescomplemented
113#2681C2214yescomplemented
114#2681C2214yescomplemented
115#2680C2214yescomplemented
116#2680C2214yescomplemented
117#2679C2214yescomplemented
118#2678C2214yescomplemented
119#2678C2214yescomplemented
120#2678C2214yescomplemented
121#2678C2214yescomplemented
122#2678C2214yescomplemented
123#2672C2214yescomplemented
124#2670C2214yescomplemented
125#2669C2214yescomplemented
126#2669C2214yescomplemented
127#2664C2212yescomplemented
128#2663C2212yescomplemented
129#2663C2212yescomplemented
130#2662C2212yescomplemented
131#2662C2212yescomplemented
132#2662C2212yescomplemented
133#2661C2214yescomplemented
134#2661C2214yescomplemented
135#2661C2212yescomplemented
136#2661C2212yescomplemented
137#2636C2212yescomplemented
138#2636C2212yescomplemented
139#2635C2212yescomplemented
140#2635C2212yescomplemented
141#2635C2212yescomplemented
142#2635C2212yescomplemented
143#2630C2214yescomplemented
144#2630C2214yescomplemented
145#2630C2214yescomplemented
146#2629C2212yescomplemented
147#2628C2211yescharacteristic, complemented
148#2628C2211yescharacteristic, complemented
149#2623C2212yescomplemented
150#2623C2212yescomplemented
151#2622C2214yescomplemented
152#2620C2214yescomplemented
153#2620C2214yescomplemented
154#2620C2212yescomplemented
155#2620C2212yescomplemented
156#2619C2214yescomplemented
157#2619C2211yescharacteristic, complemented
158#2619C2211yescharacteristic, complemented
159#2619C2212yescomplemented
160#2618C2214yescomplemented
161#2617C2214yescomplemented
162#2616C2212yescomplemented
163#2615C2212yescomplemented
164#2613C2212yescomplemented
165#2613C2212yescomplemented
166#2613C2214yescomplemented
167#2613C2214yescomplemented
168#2613C2214yescomplemented
169#2602C2214yescomplemented
170#2602C2214yescomplemented
171#2601C2214yescomplemented
172#2591C2212yescomplemented
173#2591C2212yescomplemented
174#2581C2211yescharacteristic, complemented
175#2580C2211yescharacteristic, complemented
176#2568C2211yescharacteristic, complemented
177#2566C2212yescomplemented
178#2562C2212yescomplemented
179#2560C2214yescomplemented
180#2558C2214yescomplemented
181#2554C2214yescomplemented
182#2554C2214yescomplemented
183#2552C2212yescomplemented
184#2550C2212yescomplemented
185#2548C2211yescharacteristic, complemented
186#2544C2212yescomplemented
187#2542C2211yescharacteristic, complemented
188#2541C2211yescharacteristic, complemented
189#2541C2212yescomplemented
190#2540C2212yescomplemented
191#2540C2212yescomplemented
192#2539C2212yescomplemented
193#2539C2212yescomplemented
194#2538C2212yescomplemented
195#2537C2212yescomplemented
196#2536C2211yescharacteristic, complemented
197#2535C2211yescharacteristic, complemented
198#2534C2214yescomplemented
199#2534C2214yescomplemented
200#2519C2214yescomplemented
201#2512C2214yescomplemented
202#2503C2212yescomplemented
203#2501C2212yescomplemented
204#2500C2214yescomplemented
205#2491C2212yescomplemented
206#2490C2212yescomplemented
207#2490C2212yescomplemented
208#2489C2212yescomplemented
209#2484C2212yescomplemented
210#2482C2212yescomplemented
211#2480C2214yescomplemented
212#2476C2214yescomplemented
213#2474C2214yescomplemented
214#2472C2214yescomplemented
215#2472C2214yescomplemented
216#2468C2214yescomplemented
217#2464C2214yescomplemented
218#2464C2214yescomplemented
219#2461C2214yescomplemented
220#2461C2214yescomplemented
221#2461C2214yescomplemented
222#2459C2214yescomplemented
223#2457C2214yescomplemented
224#2456C2214yescomplemented
225#2447C2212yescomplemented
226#2445C2212yes—
227#2445C2214yescomplemented
228#2445C2212yescomplemented
229#2445C2212yescomplemented
230#2435C2212yescomplemented
231#2435C2212yescomplemented
232#2433C2212yes—
233#2433C2212yescomplemented
234#2433C2212yescomplemented
235#2431C2214yescomplemented
236#2431C2212yescomplemented
237#2424C2214yescomplemented
238#2424C2214yescomplemented
239#2422C2212yescomplemented
240#2422C2212yescomplemented
241#2420C2212yes—
242#2420C2212yescomplemented
243#2418C2214yescomplemented
244#2415C2212yescomplemented
245#2414C2212yescomplemented
246#2414C2212yescomplemented
247#2414C2212yescomplemented
248#2413C2214yescomplemented
249#2411C2214yescomplemented
250#2411C2214yescomplemented
251#2411C2214yescomplemented
252#2408C2212yes—
253#2408C2212yescomplemented
254#2408C2212yescomplemented
255#2407C2214yescomplemented
256#2407C2212yescomplemented
257#2406C2212yescomplemented
258#2405C2214yescomplemented
259#2404C2212yescomplemented
260#2403C2214yescomplemented
261#2396C2211yescharacteristic, complemented
262#2396C2211yescharacteristic, complemented
263#2396C2212yescomplemented
264#2395C2212yescomplemented
265#2395C2212yescomplemented
266#2395C2214yescomplemented
267#2392C2214yescomplemented
268#2392C2214yescomplemented
269#2392C2211yescharacteristic, complemented
270#2392C2212yescomplemented
271#2392C2211yescharacteristic, complemented
272#2392C2212yescomplemented
273#2392C2212yescomplemented
274#2388C2212yescomplemented
275#2388C2212yescomplemented
276#2388C2214yescomplemented
277#2367C2212yescomplemented
278#2366C2212yescomplemented
279#2363C2212yescomplemented
280#2363C2212yescomplemented
281#2362C2212yescomplemented
282#2361C2212yescomplemented
283#2357C2212yescomplemented
284#2357C2212yescomplemented
285#2357C2211yescharacteristic, complemented
286#2357C2211yescharacteristic, complemented
287#2357C2211yescharacteristic, complemented
288#2357C2211yescharacteristic, complemented
289#2354C2214yescomplemented
290#2354C2212yescomplemented
291#2354C2212yescomplemented
292#2354C2212yescomplemented
293#2352C2212yescomplemented
294#2312C2214yescomplemented
295#2309C2212yes—
296#2285C2211yescharacteristic, complemented
297#2285C2211yescharacteristic, complemented
298#2280C2212yescomplemented
299#2280C2212yescomplemented
300#2274C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×D4C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2314yes—
309C23×D4C2312yes—
310C23×D4C2311yescharacteristic
311C24×C4C2312yes—
312#559—28no—
313#555—28no—
314#554—28no—
315#554—28no—
316#553—28no—
317#553—216no—
318#553—216no—
319#553—216no—
320#552—28no—
321#551—216no—
322#551—216no—
323#550—28no—
324#547—28no—
325#546—28no—
326#546—28no—
327#546—216no—
328#546—216no—
329#546—232no—
330D42—28no—
331D42—216no—
332D42—28no—
333#542—28no—
334#540—28no—
335#540—216no—
336#539—216no—
337#538—216no—
338#538—232no—
339#532—28no—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×#127C2311yescharacteristic
343C2×#127C2312yes—
344C2×#127C2311yescharacteristic
345C2×#127C2312yes—
346C2×#127C2314yes—
347#529—28no—
348#529—28no—
349#529—28no—
350C2×#126C2314yes—
351C2×#126C2312yes—
352C2×#126C2311yescharacteristic
353C2×#126C2311yescharacteristic
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#125C2311yescharacteristic
359C2×#125C2311yescharacteristic
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#124C2311yescharacteristic
365C2×#124C2311yescharacteristic
366C2×#124C2312yes—
367C2×#124C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2312yes—
371C2×#124C2311yescharacteristic
372C2×#124C2312yes—
373C2×#124C2314yes—
374#525—216no—
375#525—216no—
376C2×#123—216no—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2311yescharacteristic
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2311yescharacteristic
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×#121—216no—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2311yescharacteristic
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2312yes—
436C2×#121C2314yes—
437C2×#121C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2314yes—
443C2×#121C2314yes—
444C2×#120C2312yes—
445C2×#120C2312yes—
446C2×#120C2314yes—
447C2×#120C2312yes—
448C2×#120C2314yes—
449C2×#120C2312yes—
450C2×#120C2314yes—
451C2×#120C2314yes—
452C2×#120C2314yes—
453C2×#120C2314yes—
454C2×#120C2314yes—
455C2×#120C2314yes—
456C2×#120C2314yes—
457C2×#120C2314yes—
458#520—28no—
459#518—28no—
460#518—216no—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2311yescharacteristic
465C2×C4×D4D4116yescomplemented
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2314yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2314yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2314yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2314yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2312yes—
498C2×C4×D4C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2311yescharacteristic
502C2×#117C2311yescharacteristic
503C2×#117C2311yescharacteristic
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2314yes—
511C2×#117C2314yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2311yescharacteristic
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2311yescharacteristic
517C22×C22⋊C4C2312yes—
518C22×C22⋊C4C2312yes—
519C22×C22⋊C4C2312yes—
520C22×C22⋊C4C2314yes—
521C22×C22⋊C4C2314yes—
522C22×C22⋊C4C2312yes—
523C22×C22⋊C4C2312yes—
524C22×C42C2311yescharacteristic
525#400C2312yes—
526#400C2312yes—
527#400C2314yes—
528#400C2312yes—
529#400C2311yescharacteristic
530#400C2311yescharacteristic
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2314yes—
537#399C2311yescharacteristic
538#399C2311yescharacteristic
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#398C2312yes—
544#398C2311yescharacteristic
545#398C2312yes—
546#398C2314yes—
547#398C2312yes—
548#398C2311yescharacteristic
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2311yescharacteristic
562#397C2311yescharacteristic
563#397C2312yes—
564#397C2312yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#397C2314yes—
569#397C2312yes—
570#397C2312yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#396C2312yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2314yes—
579#396C2314yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#396C2314yes—
595#396C2314yes—
596#395C2311yescharacteristic
597#395C2312yes—
598#395C2314yes—
599#395C2311yescharacteristic
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#394C2314yes—
604#394C2312yes—
605#394C2312yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2311yescharacteristic
615#394C2311yescharacteristic
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2314yes—
623#394C2312yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2312yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2312yes—
639#394C2312yes—
640#394C2314yes—
641#394C2314yes—
642#394C2314yes—
643#394C2314yes—
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2314yes—
649#394C2312yes—
650#394C2312yes—
651#394C2314yes—
652#394C2314yes—
653#394C2312yes—
654#394C2314yes—
655#394C2314yes—
656#393C2314yes—
657#393C2311yescharacteristic
658#393C2312yes—
659#393C2311yescharacteristic
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#392C2311yescharacteristic
664#392C2311yescharacteristic
665#392C2312yes—
666#392C2314yes—
667#392C2314yes—
668#392C2312yes—
669#392C2314yes—
670#392C2314yes—
671#392C2314yes—
672#392C2314yes—
673#392C2314yes—
674#392C2314yes—
675#392C2314yes—
676#392C2312yes—
677#392C2314yes—
678#392C2314yes—
679#392C2314yes—
680#392C2312yes—
681#392C2312yes—
682#392C2312yes—
683#392C2312yes—
684#392C2312yes—
685#392C2314yes—
686#392C2312yes—
687#392C2314yes—
688#392C2314yes—
689#392C2314yes—
690#392C2312yes—
691#392C2314yes—
692#392C2314yes—
693#391C2314yes—
694#391C2312yes—
695#391C2314yes—
696#391C2312yes—
697#390C2314yes—
698#390C2312yes—
699#390C2312yes—
700#390C2312yes—
701#390C2312yes—
702#390C2314yes—
703#390C2314yes—
704#390C2312yes—
705#390C2312yes—
706#390C2312yes—
707#390C2314yes—
708#390C2314yes—
709#390C2314yes—
710#390C2312yes—
711#390C2314yes—
712#390C2314yes—
713#390C2312yes—
714#390C2312yes—
715#390C2314yes—
716#390C2314yes—
717#390C2314yes—
718#390C2314yes—
719#390C2314yes—
720#390C2314yes—
721#390C2314yes—
722#389C2312yes—
723#389C2312yes—
724#389C2314yes—
725#389C2314yes—
726#389C2314yes—
727#389C2312yes—
728#389C2312yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#388C2314yes—
748#388C2314yes—
749#388C2314yes—
750#388C2314yes—
751#388C2314yes—
752#388C2314yes—
753#388C2314yes—
754#388C2314yes—
755#388C2314yes—
756#387C2314yes—
757#387C2314yes—
758#387C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#384C2312yes—
786#384C2312yes—
787#384C2312yes—
788#384C2314yes—
789#382C2311yescharacteristic
790#382C2311yescharacteristic
791#382C2312yes—
792#382C2311yescharacteristic
793#382C2311yescharacteristic
794#382C2314yes—
795#381C2312yes—
796#381C2312yes—
797#381C2312yes—
798#381C2312yes—
799#381C2314yes—
800#381C2314yes—
801#381C2314yes—
802#380C2314yes—
803#380C2314yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2314yes—
809#380C2314yes—
810#380C2312yes—
811#380C2312yes—
812#380C2311yescharacteristic
813#380C2311yescharacteristic
814#380C2312yes—
815#379C2314yes—
816#379C2314yes—
817#379C2314yes—
818#379C2314yes—
819#379C2314yes—
820#379C2314yes—
821#379C2314yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2314yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2314yes—
851C25C2412yes—
852C25C2414yes—
853C25C2412yes—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—42no—
859C2×#41—42no—
860C2×#41—84no—
861C2×#41—84no—
862C2×#41—84no—
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×D4—216no—
869C22×D4—28no—
870C22×D4—28no—
871C22×D4—24no—
872C22×D4—28no—
873C22×D4—42no—
874C22×D4—42no—
875C22×D4—44no—
876C22×D4—42no—
877C22×D4—42no—
878C22×D4—44no—
879C22×D4—84no—
880C22×D4—84no—
881C22×D4—84no—
882C22×D4—84no—
883C22×D4C2×D418yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2411yescharacteristic
894C22×D4C2411yescharacteristic
895C22×D4C2414yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2411yescharacteristic
899C22×D4C2412yes—
900C22×D4C2411yescharacteristic
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2414yes—
911C22×D4C2412yes—
912C22×D4C2414yes—
913C22×D4C2414yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2412yes—
917C23×C4—84no—
918C23×C4C2×D4116yes—
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2414yes—
926C23×C4C2412yes—
927C23×C4C2414yes—
928C23×C4C2412yes—
929C23×C4C2414yes—
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2411yescharacteristic
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2412yes—
937C23×C4C2412yes—
938C23×C4C2411yescharacteristic
939C4⋊Q8—24no—
940C4⋊Q8—24no—
941#127—28no—
942#127—24no—
943#127—24no—
944#127—44no—
945#127—84no—
946#126—28no—
947#126—216no—
948#126—28no—
949#126—28no—
950#126—28no—
951#126—28no—
952#126—24no—
953#126—24no—
954#125—28no—
955#125—24no—
956#125—28no—
957#125—24no—
958#125—24no—
959#125—24no—
960#124—24no—
961#124—216no—
962#124—28no—
963#124—28no—
964#124—24no—
965#124—24no—
966#124—24no—
967#124—28no—
968#124—44no—
969#124—84no—
970#123—28no—
971#123—24no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—24no—
980#123—216no—
981#123—28no—
982#123—216no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—216no—
987#123—28no—
988#123—84no—
989#123—84no—
990#123—84no—
991#123—84no—
992#123—84no—
993C22⋊Q8—24no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—24no—
998C22⋊Q8—24no—
999C22⋊Q8—28no—
1000C22⋊Q8—24no—
1001C22⋊Q8—216no—
1002C22⋊Q8—28no—
1003C22⋊Q8—28no—
1004C22⋊Q8—44no—
1005C22⋊Q8—84no—
1006C22⋊Q8—84no—
1007#121—216no—
1008#121—28no—
1009#121—28no—
1010#121—28no—
1011#121—24no—
1012#121—24no—
1013#121—24no—
1014#121—28no—
1015#121—216no—
1016#121—216no—
1017#121—28no—
1018#121—28no—
1019#121—28no—
1020#121—28no—
1021#121—28no—
1022#121—24no—
1023#121—24no—
1024#121—28no—
1025#121—28no—
1026#121—24no—
1027#121—216no—
1028#121—28no—
1029#121—216no—
1030#121—28no—
1031#121—44no—
1032#121—44no—
1033#121—44no—
1034#121—84no—
1035#121—84no—
1036#120—216no—
1037#120—28no—
1038#120—28no—
1039#120—216no—
1040#120—28no—
1041#120—216no—
1042#120—28no—
1043#120—84no—
1044#120—84no—
1045#120—84no—
1046#120—84no—
1047#120—84no—
1048#120—84no—
1049#120—84no—
1050C4×Q8—24no—
1051C4×Q8—24no—
1052C4×Q8—24no—
1053C4×Q8—24no—
1054C4×D4—28no—
1055C4×D4—24no—
1056C4×D4—24no—
1057C4×D4—216no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—216no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—24no—
1064C4×D4—28no—
1065C4×D4—24no—
1066C4×D4—28no—
1067C4×D4—24no—
1068C4×D4—28no—
1069C4×D4—216no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—24no—
1073C4×D4—28no—
1074C4×D4—24no—
1075C4×D4—24no—
1076C4×D4—28no—
1077C4×D4—44no—
1078C4×D4—44no—
1079C4×D4—84no—
1080C4×D4—84no—
1081C4×D4C2×D418yes—
1082C4×D4C2×D418yes—
1083C4×D4C2×D4116yes—
1084C4×D4C2×D4116yes—
1085C4×D4C2×D418yes—
1086C4×D4C2×D418yes—
1087#117—28no—
1088#117—28no—
1089#117—24no—
1090#117—28no—
1091#117—28no—
1092#117—28no—
1093#117—24no—
1094#117—24no—
1095#117—28no—
1096#117—44no—
1097#117—44no—
1098#117—84no—
1099#117—84no—
1100C2×C4⋊C4—28no—
1101C2×C4⋊C4—28no—
1102C2×C4⋊C4—28no—
1103C2×C4⋊C4—24no—
1104C2×C4⋊C4C2×D418yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2412yes—
1163C2×C22⋊C4—28no—
1164C2×C22⋊C4—216no—
1165C2×C22⋊C4—28no—
1166C2×C22⋊C4—28no—
1167C2×C22⋊C4—216no—
1168C2×C22⋊C4—28no—
1169C2×C22⋊C4C2×D4116yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2411yescharacteristic
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2411yescharacteristic
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C42C2×D418yes—
1257C2×C42C2414yes—
1258C2×C42C2412yes—
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2412yes—
1263C2×C42C2411yescharacteristic
1264C2×C42C2412yes—
1265C2×C42C2412yes—
1266C2×C42C2414yes—
1267C2×C42C2414yes—
1268C2×C42C2414yes—
1269C2×C42C2414yes—
1270C2×C42C2414yes—
1271C2×C42C2411yescharacteristic
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2411yescharacteristic
1275#95C2412yes—
1276#95C2412yes—
1277#95C2411yescharacteristic
1278#95C2411yescharacteristic
1279#95C2412yes—
1280#95C2411yescharacteristic
1281#95C2412yes—
1282#95C2411yescharacteristic
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315C24—24no—
1316C24—28no—
1317C24—44no—
1318C24—42no—
1319C24—42no—
1320C24—44no—
1321C24—42no—
1322C24—42no—
1323C24—44no—
1324C24—44no—
1325C24—44no—
1326C24—44no—
1327C24—44no—
1328C24—44no—
1329C24—44no—
1330C24—44no—
1331C24C22×D418yes—
1332C24C2511yescharacteristic
1333C24C2512yes—
1334C24C2512yes—
1335C24C2514yes—
1336C24C2511yescharacteristic
1337C24C2512yes—
1338C24C2511yescharacteristic
1339C24C2512yes—
1340#41—416no—
1341#41—816no—
1342#41—816no—
1343#41—816no—
1344C2×Q8—22no—
1345C2×Q8—22no—
1346C2×Q8—22no—
1347C2×Q8—24no—
1348C2×Q8—24no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—42no—
1352C2×Q8—42no—
1353C2×Q8—44no—
1354C2×Q8—44no—
1355C2×D4—28no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—28no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—28no—
1367C2×D4—24no—
1368C2×D4—28no—
1369C2×D4—24no—
1370C2×D4—22no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—28no—
1377C2×D4—24no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—22no—
1386C2×D4—416no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—42no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—432no—
1441C2×D4—416no—
1442C2×D4—816no—
1443C2×D4—816no—
1444C2×D4—832no—
1445C2×D4C22×D414yes—
1446C2×D4C22×D414yes—
1447C2×D4C22×D418yes—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—28no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—22no—
1457C22×C4—24no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—28no—
1465C22×C4—28no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—42no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—42no—
1475C22×C4—42no—
1476C22×C4—42no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—44no—
1487C22×C4—44no—
1488C22×C4—816no—
1489C22×C4C22×D414yes—
1490C22×C4C22×D414yes—
1491C22×C4C22×D414yes—
1492C22×C4C22×D418yes—
1493C22×C4C22×D418yes—
1494C22×C4C22×D418yes—
1495C22×C4C22×D418yes—
1496C22×C4C22×D418yes—
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2514yes—
1500C22×C4C2512yes—
1501C22×C4C2514yes—
1502C22×C4C2512yes—
1503C22×C4C2512yes—
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C22×C4C2512yes—
1507C22×C4C2514yes—
1508C22×C4C2512yes—
1509C22×C4C2512yes—
1510C22×C4C2511yescharacteristic
1511C22×C4C2511yescharacteristic
1512C22×C4C2512yes—
1513C22×C4C2511yescharacteristic
1514C22×C4C2511yescharacteristic
1515C22×C4C2512yes—
1516C22×C4C2511yescharacteristic
1517C22×C4C2512yes—
1518C22×C4C2511yescharacteristic
1519C22×C4C2512yes—
1520C22×C4C2511yescharacteristic
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C4⋊C4—24no—
1525C4⋊C4—22no—
1526C4⋊C4—22no—
1527C4⋊C4—22no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—28no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—22no—
1537C4⋊C4—22no—
1538C4⋊C4—24no—
1539C4⋊C4—22no—
1540C4⋊C4—22no—
1541C4⋊C4—24no—
1542C4⋊C4—22no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—22no—
1549C4⋊C4—24no—
1550C4⋊C4—28no—
1551C4⋊C4—24no—
1552C4⋊C4—22no—
1553C4⋊C4—22no—
1554C4⋊C4—24no—
1555C4⋊C4—22no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—42no—
1559C4⋊C4—42no—
1560C4⋊C4—42no—
1561C4⋊C4—42no—
1562C4⋊C4—44no—
1563C4⋊C4—42no—
1564C4⋊C4—42no—
1565C4⋊C4—42no—
1566C4⋊C4—44no—
1567C4⋊C4—42no—
1568C4⋊C4—44no—
1569C4⋊C4—44no—
1570C4⋊C4—42no—
1571C4⋊C4—44no—
1572C4⋊C4—44no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—42no—
1576C4⋊C4—42no—
1577C4⋊C4—44no—
1578C4⋊C4—42no—
1579C4⋊C4C22×D414yes—
1580C4⋊C4C22×D414yes—
1581C4⋊C4C22×D418yes—
1582C22⋊C4—22no—
1583C22⋊C4—24no—
1584C22⋊C4—28no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—22no—
1589C22⋊C4—24no—
1590C22⋊C4—28no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—28no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—22no—
1599C22⋊C4—22no—
1600C22⋊C4—22no—
1601C22⋊C4—24no—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—22no—
1609C22⋊C4—22no—
1610C22⋊C4—24no—
1611C22⋊C4—22no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—22no—
1615C22⋊C4—28no—
1616C22⋊C4—28no—
1617C22⋊C4—24no—
1618C22⋊C4—22no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—42no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—42no—
1635C22⋊C4—42no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—42no—
1659C22⋊C4—42no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4C22×D418yes—
1665C22⋊C4C22×D418yes—
1666C22⋊C4C22×D418yes—
1667C22⋊C4C22×D418yes—
1668C42—28no—
1669C42—24no—
1670C42—24no—
1671C42—24no—
1672C42—22no—
1673C42—24no—
1674C42—22no—
1675C42—24no—
1676C42—24no—
1677C42—44no—
1678C42—44no—
1679C42—44no—
1680C42—44no—
1681C42—44no—
1682C42C22×D414yes—
1683C42C22×D414yes—
1684C42C22×D414yes—
1685C42C22×D414yes—
1686C23—21no—
1687C23—21no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—24no—
1693C23—24no—
1694C23—24no—
1695C23—24no—
1696C23—22no—
1697C23—22no—
1698C23—21no—
1699C23—22no—
1700C23—22no—
1701C23—21no—
1702C23—24no—
1703C23—21no—
1704C23—21no—
1705C23—22no—
1706C23—22no—
1707C23—24no—
1708C23—24no—
1709C23—22no—
1710C23—21no—
1711C23—21no—
1712C23—22no—
1713C23—24no—
1714C23—24no—
1715C23—24no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—24no—
1722C23—24no—
1723C23—24no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—48no—
1728C23—48no—
1729C23—48no—
1730C23—48no—
1731C23—416no—
1732C23—84no—
1733C23—88no—
1734C23—88no—
1735C23—84no—
1736C23—88no—
1737C23—88no—
1738C23—164no—
1739C23—164no—
1740C23—164no—
1741C23—164no—
1742C23—164no—
1743C23—164no—
1744C23C23×D414yes—
1745C23C23×D412yes—
1746C23C23×D414yes—
1747C23C2611yescharacteristic
1748Q8—44no—
1749Q8—44no—
1750Q8—82no—
1751Q8—84no—
1752Q8—84no—
1753D4—28no—
1754D4—28no—
1755D4—48no—
1756D4—44no—
1757D4—48no—
1758D4—48no—
1759D4—416no—
1760D4—44no—
1761D4—48no—
1762D4—48no—
1763D4—416no—
1764D4—48no—
1765D4—44no—
1766D4—44no—
1767D4—48no—
1768D4—82no—
1769D4—88no—
1770D4—84no—
1771D4—84no—
1772D4—84no—
1773D4—84no—
1774D4—84no—
1775D4—84no—
1776D4—88no—
1777D4—88no—
1778D4—88no—
1779D4—84no—
1780D4—88no—
1781D4—84no—
1782D4—88no—
1783D4—164no—
1784D4—164no—
1785D4—164no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—24no—
1789C2×C4—24no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—28no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—24no—
1803C2×C4—21no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—24no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—21no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—24no—
1825C2×C4—22no—
1826C2×C4—24no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—24no—
1831C2×C4—22no—
1832C2×C4—24no—
1833C2×C4—22no—
1834C2×C4—24no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—24no—
1840C2×C4—22no—
1841C2×C4—24no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—24no—
1846C2×C4—44no—
1847C2×C4—48no—
1848C2×C4—48no—
1849C2×C4—48no—
1850C2×C4—48no—
1851C2×C4—48no—
1852C2×C4—44no—
1853C2×C4—48no—
1854C2×C4—48no—
1855C2×C4—44no—
1856C2×C4—44no—
1857C2×C4—84no—
1858C2×C4—84no—
1859C2×C4—84no—
1860C2×C4—88no—
1861C2×C4—88no—
1862C2×C4—84no—
1863C2×C4—84no—
1864C2×C4—88no—
1865C2×C4C23×D414yes—
1866C2×C4C23×D412yes—
1867C2×C4C23×D412yes—
1868C2×C4C23×D412yes—
1869C2×C4C23×D412yes—
1870C2×C4C23×D412yes—
1871C2×C4C23×D414yes—
1872C2×C4C23×D412yes—
1873C2×C4#58512yes—
1874C2×C4#58512yes—
1875C22—22no—
1876C22—24no—
1877C22—24no—
1878C22—22no—
1879C22—24no—
1880C22—24no—
1881C22—22no—
1882C22—24no—
1883C22—24no—
1884C22—42no—
1885C22—44no—
1886C22—44no—
1887C22—42no—
1888C22—44no—
1889C22—44no—
1890C22—44no—
1891C22—42no—
1892C22—44no—
1893C22—42no—
1894C22—42no—
1895C22—42no—
1896C22—44no—
1897C22—42no—
1898C22—44no—
1899C22—42no—
1900C22—42no—
1901C22—44no—
1902C22—44no—
1903C22—42no—
1904C22—41no—
1905C22—44no—
1906C22—42no—
1907C22—42no—
1908C22—41no—
1909C22—44no—
1910C22—42no—
1911C22—42no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—42no—
1917C22—42no—
1918C22—44no—
1919C22—816no—
1920C22—168no—
1921C22—1616no—
1922C22C24×D411yescharacteristic
1923C22C2×#58511yescharacteristic
1924C22C2×#58511yescharacteristic
1925C22H(7,𝔽2)12yes—
1926C22H(7,𝔽2)12yes—
1927C4—22no—
1928C4—22no—
1929C4—24no—
1930C4—24no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—42no—
1935C4—42no—
1936C4—42no—
1937C4—42no—
1938C4—44no—
1939C4—44no—
1940C4—41no—
1941C4—42no—
1942C4—41no—
1943C4—42no—
1944C4—42no—
1945C4—44no—
1946C4—42no—
1947C4—41no—
1948C4—41no—
1949C4—41no—
1950C4—42no—
1951C4—41no—
1952C4—42no—
1953C4#344914yes—
1954C2—42no—
1955C2—44no—
1956C2—44no—
1957C2—81no—
1958C2—82no—
1959C2—84no—
1960C2—81no—
1961C2—82no—
1962C2C2×#344911yescharacteristic
1963C2#6284211yescharacteristic
1964C2#6285211yescharacteristic
1965C2#6305112yes—
1966C2#6306012yes—
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×#3519C2semidirect
2. C2×#3513C2semidirect
3. #42651C2semidirect
4. #42647C2semidirect
5. #42475C2semidirect
6. #42474C2semidirect
7. #42439C2semidirect
8. #42438C2semidirect
9. #42430C2semidirect
10. #42426C2semidirect
11. #41415C2semidirect
12. #41386C2semidirect
13. #41382C2semidirect
14. #40597C2semidirect
15. #40529C2semidirect
16. #40528C2semidirect
17. #40506C2semidirect
18. #40502C2semidirect
19. #37621C2semidirect
20. #37616C2semidirect
21. #37553C2semidirect
22. #37448C2semidirect
23. #37443C2semidirect
24. #37440C2semidirect
25. #36684C2semidirect
26. #36652C2semidirect
27. #36022C2semidirect
28. #36015C2semidirect
29. #36011C2semidirect
30. #35823C2semidirect
31. #35808C2semidirect
32. #35768C2semidirect
33. #35741C2semidirect
34. #35704C2semidirect
35. #34186C2semidirect
40. C2×#554C22semidirect
41. C2×#554C22semidirect
43. C2×#553C22semidirect
44. C2×#553C22semidirect
45. C2×#553C22semidirect
46. C2×#552C22semidirect
47. C2×#551C22semidirect
48. C2×#551C22semidirect
50. C2×#547C22semidirect
52. C2×#546C22semidirect
53. C2×#546C22semidirect
54. C2×#546C22semidirect
55. C2×#546C22semidirect
58. C2×D42C22semidirect
62. C2×#539C22semidirect
63. C2×#538C22semidirect
64. C2×#538C22semidirect
65. C2×#532C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
68. C2×#529C22semidirect
69. C2×#525C22semidirect
70. C2×#525C22semidirect
71. C22×#123C22semidirect
72. C22×#121C22semidirect
73. C2×#520C22semidirect
74. C2×#518C22semidirect
75. C2×#518C22semidirect
77. #2823C22semidirect
78. #2823C22semidirect
79. #2822C22semidirect
80. #2820C22semidirect
81. #2820C22semidirect
82. #2819C22semidirect
83. #2817C22semidirect
84. #2816C22semidirect
85. #2816C22semidirect
86. #2815C22semidirect
87. #2814C22semidirect
88. #2814C22semidirect
89. #2814C22semidirect
90. #2814C22semidirect
91. #2814C22semidirect
93. #2813C22semidirect
94. #2813C22semidirect
95. #2813C22semidirect
96. #2813C22semidirect
97. #2813C22semidirect
98. #2813C22semidirect
99. #2813C22semidirect
100. #2813C22semidirect
101. #2812C22semidirect
102. #2812C22semidirect
103. #2706C22semidirect
104. #2703C22semidirect
105. #2701C22semidirect
106. #2700C22semidirect
107. #2699C22semidirect
108. #2698C22semidirect
109. #2697C22semidirect
110. #2687C22semidirect
111. #2685C22semidirect
112. #2682C22semidirect
113. #2681C22semidirect
114. #2681C22semidirect
115. #2680C22semidirect
116. #2680C22semidirect
117. #2679C22semidirect
118. #2678C22semidirect
119. #2678C22semidirect
120. #2678C22semidirect
121. #2678C22semidirect
122. #2678C22semidirect
123. #2672C22semidirect
124. #2670C22semidirect
125. #2669C22semidirect
126. #2669C22semidirect
127. #2664C22semidirect
128. #2663C22semidirect
129. #2663C22semidirect
130. #2662C22semidirect
131. #2662C22semidirect
132. #2662C22semidirect
133. #2661C22semidirect
134. #2661C22semidirect
135. #2661C22semidirect
136. #2661C22semidirect
137. #2636C22semidirect
138. #2636C22semidirect
139. #2635C22semidirect
140. #2635C22semidirect
141. #2635C22semidirect
142. #2635C22semidirect
143. #2630C22semidirect
144. #2630C22semidirect
145. #2630C22semidirect
146. #2629C22semidirect
147. #2628C22semidirect
148. #2628C22semidirect
149. #2623C22semidirect
150. #2623C22semidirect
151. #2622C22semidirect
152. #2620C22semidirect
153. #2620C22semidirect
154. #2620C22semidirect
155. #2620C22semidirect
156. #2619C22semidirect
157. #2619C22semidirect
158. #2619C22semidirect
159. #2619C22semidirect
160. #2618C22semidirect
161. #2617C22semidirect
162. #2616C22semidirect
163. #2615C22semidirect
164. #2613C22semidirect
165. #2613C22semidirect
166. #2613C22semidirect
167. #2613C22semidirect
168. #2613C22semidirect
169. #2602C22semidirect
170. #2602C22semidirect
171. #2601C22semidirect
172. #2591C22semidirect
173. #2591C22semidirect
174. #2581C22semidirect
175. #2580C22semidirect
176. #2568C22semidirect
177. #2566C22semidirect
178. #2562C22semidirect
179. #2560C22semidirect
180. #2558C22semidirect
181. #2554C22semidirect
182. #2554C22semidirect
183. #2552C22semidirect
184. #2550C22semidirect
185. #2548C22semidirect
186. #2544C22semidirect
187. #2542C22semidirect
188. #2541C22semidirect
189. #2541C22semidirect
190. #2540C22semidirect
191. #2540C22semidirect
192. #2539C22semidirect
193. #2539C22semidirect
194. #2538C22semidirect
195. #2537C22semidirect
196. #2536C22semidirect
197. #2535C22semidirect
198. #2534C22semidirect
199. #2534C22semidirect
200. #2519C22semidirect
201. #2512C22semidirect
202. #2503C22semidirect
203. #2501C22semidirect
204. #2500C22semidirect
205. #2491C22semidirect
206. #2490C22semidirect
207. #2490C22semidirect
208. #2489C22semidirect
209. #2484C22semidirect
210. #2482C22semidirect
211. #2480C22semidirect
212. #2476C22semidirect
213. #2474C22semidirect
214. #2472C22semidirect
215. #2472C22semidirect
216. #2468C22semidirect
217. #2464C22semidirect
218. #2464C22semidirect
219. #2461C22semidirect
220. #2461C22semidirect
221. #2461C22semidirect
222. #2459C22semidirect
223. #2457C22semidirect
224. #2456C22semidirect
225. #2447C22semidirect
227. #2445C22semidirect
228. #2445C22semidirect
229. #2445C22semidirect
230. #2435C22semidirect
231. #2435C22semidirect
233. #2433C22semidirect
234. #2433C22semidirect
235. #2431C22semidirect
236. #2431C22semidirect
237. #2424C22semidirect
238. #2424C22semidirect
239. #2422C22semidirect
240. #2422C22semidirect
242. #2420C22semidirect
243. #2418C22semidirect
244. #2415C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
248. #2413C22semidirect
249. #2411C22semidirect
250. #2411C22semidirect
251. #2411C22semidirect
253. #2408C22semidirect
254. #2408C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2406C22semidirect
258. #2405C22semidirect
259. #2404C22semidirect
260. #2403C22semidirect
261. #2396C22semidirect
262. #2396C22semidirect
263. #2396C22semidirect
264. #2395C22semidirect
265. #2395C22semidirect
266. #2395C22semidirect
267. #2392C22semidirect
268. #2392C22semidirect
269. #2392C22semidirect
270. #2392C22semidirect
271. #2392C22semidirect
272. #2392C22semidirect
273. #2392C22semidirect
274. #2388C22semidirect
275. #2388C22semidirect
276. #2388C22semidirect
277. #2367C22semidirect
278. #2366C22semidirect
279. #2363C22semidirect
280. #2363C22semidirect
281. #2362C22semidirect
282. #2361C22semidirect
283. #2357C22semidirect
284. #2357C22semidirect
285. #2357C22semidirect
286. #2357C22semidirect
287. #2357C22semidirect
288. #2357C22semidirect
289. #2354C22semidirect
290. #2354C22semidirect
291. #2354C22semidirect
292. #2354C22semidirect
293. #2352C22semidirect
294. #2312C22semidirect
296. #2285C22semidirect
297. #2285C22semidirect
298. #2280C22semidirect
299. #2280C22semidirect
300. #2274C22semidirect
465. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
C2×#35132
#426512
#426472
#424752
#424742
#424392
#424382
#424302
#424262
#414152
#413862
#413822
#405972
#405292
#405282
#405062
#405022
#376212
#376162
#375532
#374482
#374432
#374402
#366842
#366522
#360222
#360152
#360112
#358232
#358082
#357682
#357412
#357042
#341862