Finite Group Databasebeta

← #7689509

Subgroups — #7689509

Order 512.

7812 conjugacy classes of subgroups.

The subgroup lattice has 2006 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3511C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic, complemented
3#59680C212yesmaximal, complemented
4#59652C211yesmaximal, characteristic, complemented
5#59137C212yesmaximal, complemented
6#59136C211yesmaximal, characteristic, complemented
7#59118C212yesmaximal, complemented
8#59056C211yesmaximal, characteristic, complemented
9#59053C212yesmaximal, complemented
10#59001C214yesmaximal, complemented
11#45404C212yesmaximal, complemented
12#44886C212yesmaximal, complemented
13#43928C214yesmaximal, complemented
14#43120C214yesmaximal, complemented
15#39948C212yesmaximal, complemented
16#39876C212yesmaximal, complemented
17#39342C211yesmaximal, characteristic, complemented
18#38953C211yesmaximal, characteristic, complemented
19#37803C214yesmaximal, complemented
20#37785C212yesmaximal, complemented
21#36496C211yesmaximal, characteristic, complemented
22#36493C211yesmaximal, characteristic, complemented
23#36492C211yesmaximal, characteristic, complemented
24#36440C212yesmaximal, complemented
25#36411C211yesmaximal, characteristic, complemented
26#36142C212yesmaximal, complemented
27#36122C211yesmaximal, characteristic, complemented
28#36102C212yesmaximal, complemented
29#35768C212yesmaximal, complemented
30#35752C212yesmaximal, complemented
31#34715C211yesmaximal, characteristic, complemented
32#34681C212yesmaximal, complemented
33#34317C211yesmaximal, characteristic, complemented
34#34265C212yesmaximal, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36#3511—216no—
37#3481—216no—
38C2×#559C2211yescharacteristic
39C2×#556C2212yescomplemented
40C2×#555C2211yescharacteristic
41C2×#555C2211yescharacteristic, complemented
42C2×#554C2211yescharacteristic
43C2×#554C2211yescharacteristic
44C2×#554C2211yescharacteristic, complemented
45C2×#553C2212yes—
46C2×#553C2212yes—
47C2×#553C2212yes—
48C2×#553C2212yescomplemented
49C2×#551C2214yes—
50C2×#550C2211yescharacteristic
51C2×#548C2214yescomplemented
52C2×#548C2212yescomplemented
53C2×#547C2212yescomplemented
54C2×#546C2212yes—
55C2×#546C2212yes—
56C2×D42C2211yescharacteristic
57C2×#542C2214yescomplemented
58C2×#537C2212yescomplemented
59C2×#535C2212yes—
60C2×#533C2212yescomplemented
61C2×#532C2211yescharacteristic
62C2×#532C2212yes—
63C2×#532C2211yescharacteristic
64C22×C4⋊Q8C2211yescharacteristic, complemented
65C2×#529C2212yes—
66C2×#529C2212yes—
67C2×#525C2214yes—
68C2×#525C2214yescomplemented
69C2×#520C2212yescomplemented
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic, complemented
73C22×C4×D4C2212yes—
74C22×C4×D4C2212yes—
75#2861C2212yescomplemented
76#2858C2211yescharacteristic
77#2857C2211yescharacteristic, complemented
78#2856C2211yescharacteristic
79#2854C2212yescomplemented
80#2851C2212yescomplemented
81#2850C2212yescomplemented
82#2849C2214yescomplemented
83#2733C2214yescomplemented
84#2730C2214yescomplemented
85#2729C2214yescomplemented
86#2718C2214yescomplemented
87#2714C2214yescomplemented
88#2714C2214yescomplemented
89#2710C2214yescomplemented
90#2705C2214yescomplemented
91#2703C2214yescomplemented
92#2703C2214yescomplemented
93#2702C2214yescomplemented
94#2685C2214yescomplemented
95#2676C2214yescomplemented
96#2673C2214yescomplemented
97#2670C2214yes—
98#2670C2214yes—
99#2670C2214yes—
100#2670C2214yescomplemented
101#2669C2214yes—
102#2669C2214yescomplemented
103#2669C2214yescomplemented
104#2661C2214yescomplemented
105#2635C2214yescomplemented
106#2619C2212yes—
107#2615C2212yes—
108#2602C2214yescomplemented
109#2600C2214yescomplemented
110#2567C2211yescharacteristic, complemented
111#2566C2212yescomplemented
112#2563C2211yescharacteristic
113#2562C2212yescomplemented
114#2560C2214yescomplemented
115#2554C2214yescomplemented
116#2550C2212yescomplemented
117#2545C2212yescomplemented
118#2544C2212yescomplemented
119#2541C2212yes—
120#2541C2211yescharacteristic
121#2541C2211yescharacteristic
122#2541C2214yescomplemented
123#2541C2212yescomplemented
124#2541C2212yescomplemented
125#2540C2212yescomplemented
126#2540C2212yescomplemented
127#2538C2211yescharacteristic, complemented
128#2537C2211yescharacteristic
129#2535C2212yescomplemented
130#2535C2212yescomplemented
131#2512C2214yescomplemented
132#2500C2212yes—
133#2492C2212yescomplemented
134#2491C2212yes—
135#2491C2212yescomplemented
136#2491C2212yescomplemented
137#2490C2212yescomplemented
138#2485C2212yescomplemented
139#2480C2214yescomplemented
140#2479C2214yescomplemented
141#2477C2214yescomplemented
142#2477C2214yescomplemented
143#2476C2212yescomplemented
144#2474C2214yescomplemented
145#2474C2212yescomplemented
146#2472C2214yescomplemented
147#2471C2214yescomplemented
148#2469C2214yescomplemented
149#2469C2214yescomplemented
150#2467C2214yescomplemented
151#2466C2214yescomplemented
152#2464C2214yescomplemented
153#2463C2214yescomplemented
154#2463C2214yescomplemented
155#2463C2214yescomplemented
156#2461C2214yescomplemented
157#2461C2214yescomplemented
158#2461C2214yescomplemented
159#2461C2214yescomplemented
160#2461C2214yescomplemented
161#2461C2214yescomplemented
162#2459C2212yescomplemented
163#2458C2214yescomplemented
164#2458C2214yescomplemented
165#2456C2214yescomplemented
166#2456C2214yescomplemented
167#2456C2214yescomplemented
168#2456C2214yescomplemented
169#2456C2214yescomplemented
170#2456C2212yescomplemented
171#2452C2212yes—
172#2452C2212yescomplemented
173#2452C2212yescomplemented
174#2451C2211yescharacteristic, complemented
175#2448C2212yescomplemented
176#2445C2211yescharacteristic
177#2445C2214yescomplemented
178#2442C2212yescomplemented
179#2441C2212yescomplemented
180#2440C2212yescomplemented
181#2439C2211yescharacteristic, complemented
182#2436C2212yescomplemented
183#2433C2212yes—
184#2433C2212yes—
185#2432C2212yescomplemented
186#2431C2211yescharacteristic
187#2431C2212yescomplemented
188#2431C2214yescomplemented
189#2431C2214yescomplemented
190#2428C2212yes—
191#2428C2212yescomplemented
192#2428C2212yescomplemented
193#2426C2214yescomplemented
194#2426C2214yescomplemented
195#2426C2212yescomplemented
196#2426C2212yescomplemented
197#2426C2211yescharacteristic, complemented
198#2424C2214yescomplemented
199#2424C2214yescomplemented
200#2422C2212yes—
201#2421C2212yescomplemented
202#2420C2211yescharacteristic
203#2417C2212yescomplemented
204#2416C2212yescomplemented
205#2416C2212yescomplemented
206#2416C2212yescomplemented
207#2415C2212yescomplemented
208#2414C2212yes—
209#2414C2212yes—
210#2414C2212yes—
211#2414C2212yescomplemented
212#2414C2214yescomplemented
213#2414C2211yescharacteristic, complemented
214#2414C2212yescomplemented
215#2414C2212yescomplemented
216#2414C2214yescomplemented
217#2411C2214yescomplemented
218#2409C2214yescomplemented
219#2408C2212yes—
220#2408C2212yes—
221#2408C2212yes—
222#2408C2212yes—
223#2407C2211yescharacteristic
224#2407C2212yes—
225#2407C2212yes—
226#2404C2214yescomplemented
227#2392C2212yescomplemented
228#2392C2214yescomplemented
229#2388C2212yescomplemented
230#2388C2214yescomplemented
231#2370C2212yescomplemented
232#2369C2211yescharacteristic, complemented
233#2367C2214yescomplemented
234#2367C2214yescomplemented
235#2366C2211yescharacteristic
236#2366C2212yescomplemented
237#2366C2214yescomplemented
238#2366C2212yescomplemented
239#2366C2214yescomplemented
240#2363C2212yes—
241#2363C2211yescharacteristic
242#2363C2212yescomplemented
243#2363C2212yescomplemented
244#2363C2212yescomplemented
245#2363C2211yescharacteristic, complemented
246#2363C2212yescomplemented
247#2363C2212yescomplemented
248#2362C2212yescomplemented
249#2362C2214yescomplemented
250#2362C2212yescomplemented
251#2362C2214yescomplemented
252#2361C2212yes—
253#2361C2212yes—
254#2361C2212yescomplemented
255#2361C2212yescomplemented
256#2361C2212yescomplemented
257#2361C2212yescomplemented
258#2357C2212yes—
259#2355C2211yescharacteristic, complemented
260#2354C2211yescharacteristic
261#2354C2212yescomplemented
262#2354C2212yescomplemented
263#2354C2211yescharacteristic, complemented
264#2352C2212yescomplemented
265#2352C2212yescomplemented
266Q8×C4⋊C4C2211yescharacteristic, complemented
267D4×C4⋊C4C2212yescomplemented
268#2344C2212yescomplemented
269#2341C2211yescharacteristic
270#2341C2211yescharacteristic, complemented
271#2332C2214yescomplemented
272#2323C2212yescomplemented
273#2321C2214yescomplemented
274#2321C2214yescomplemented
275#2309C2212yes—
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×#127C2211yescharacteristic
278C4×#127C2212yescomplemented
279C4×#127C2212yescomplemented
280C4×#125C2212yescomplemented
281C4×#124C2211yescharacteristic, complemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#123C2212yescomplemented
284C4×#121C2211yescharacteristic
285C4×#121C2212yescomplemented
286C4×#121C2212yescomplemented
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2212yescomplemented
289C4×#121C2212yescomplemented
290C4×#121C2211yescharacteristic, complemented
291C4×#120C2214yescomplemented
292C4×#120C2214yescomplemented
293#2297C2212yescomplemented
294#2296C2212yescomplemented
295#2293C2212yes—
296#2293C2211yescharacteristic
297#2274C2212yescomplemented
298C42×Q8C2211yescharacteristic, complemented
299C42×D4C2211yescharacteristic, complemented
300C42×D4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2314yes—
306C22×#41C2312yes—
307C23×Q8C2312yes—
308C23×D4C2312yes—
309C23×D4C2312yes—
310C24×C4C2314yes—
311#559—28no—
312#556—216no—
313#555—28no—
314#555—28no—
315#554—28no—
316#554—28no—
317#554D4116yescomplemented
318#553—216no—
319#553—216no—
320#553—216no—
321#553—216no—
322#551—232no—
323#550—28no—
324#548—232no—
325#548—48no—
326#547—216no—
327#546—216no—
328#546—216no—
329D42—28no—
330#542—232no—
331#537—216no—
332#535—216no—
333#533—216no—
334#532—28no—
335#532—28no—
336#532—216no—
337C2×C4⋊Q8—28no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×#127C2311yescharacteristic
345C2×#127C2312yes—
346C2×#127C2311yescharacteristic
347C2×#127C2314yes—
348C2×#127C2311yescharacteristic
349C2×#127C2312yes—
350C2×#127C2312yes—
351C2×#127C2314yes—
352#529—216no—
353#529—216no—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#124C2312yes—
362C2×#124C2314yes—
363C2×#124C2312yes—
364C2×#124C2314yes—
365C2×#124C2314yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2311yescharacteristic
372C2×#124C2312yes—
373#525—232no—
374#525—416no—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2311yescharacteristic
403C2×#121C2312yes—
404C2×#121C2314yes—
405C2×#121C2311yescharacteristic
406C2×#121C2312yes—
407C2×#121C2314yes—
408C2×#121C2312yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2314yes—
415C2×#121C2311yescharacteristic
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2314yes—
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#120C2314yes—
430C2×#120C2314yes—
431C2×#120C2314yes—
432C2×#120C2314yes—
433C2×#120C2314yes—
434C2×#120C2314yes—
435C2×#120C2314yes—
436#520—216no—
437C4×#41—28no—
438C4×#41—28no—
439C4×#41—28no—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2314yes—
446C2×C4×Q8C2314yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×D4—216no—
451C2×C4×D4—216no—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2314yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2314yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2314yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2311yescharacteristic
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2314yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2314yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2312yes—
515C22×C22⋊C4C2314yes—
516C22×C22⋊C4C2314yes—
517C22×C42C2312yes—
518C22×C42C2312yes—
519C22×C42C2312yes—
520C22×C42C2311yescharacteristic
521C22×C42C2311yescharacteristic
522#400C2314yes—
523#400C2314yes—
524#399C2314yes—
525#399C2314yes—
526#398C2312yes—
527#398C2314yes—
528#398C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2312yes—
532#397C2314yes—
533#397C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2312yes—
539#396C2312yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#395C2314yes—
544#395C2314yes—
545#395C2312yes—
546#394C2314yes—
547#394C2314yes—
548#394C2312yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2312yes—
556#394C2312yes—
557#394C2314yes—
558#394C2312yes—
559#394C2312yes—
560#394C2314yes—
561#394C2314yes—
562#394C2312yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#393C2314yes—
571#393C2314yes—
572#393C2314yes—
573#393C2312yes—
574#393C2314yes—
575#393C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2312yes—
582#392C2314yes—
583#392C2312yes—
584#392C2314yes—
585#392C2312yes—
586#392C2314yes—
587#392C2312yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#391C2314yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2314yes—
605#391C2311yescharacteristic
606#391C2312yes—
607#391C2311yescharacteristic
608#391C2312yes—
609#391C2312yes—
610#390C2314yes—
611#390C2311yescharacteristic
612#390C2311yescharacteristic
613#390C2312yes—
614#390C2312yes—
615#390C2311yescharacteristic
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2314yes—
624#390C2314yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2314yes—
630#390C2312yes—
631#390C2312yes—
632#390C2314yes—
633#390C2314yes—
634#390C2314yes—
635#390C2312yes—
636#390C2311yescharacteristic
637#390C2312yes—
638#390C2311yescharacteristic
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2314yes—
646#390C2311yescharacteristic
647#390C2312yes—
648#390C2312yes—
649#390C2314yes—
650#390C2311yescharacteristic
651#390C2314yes—
652#390C2314yes—
653#390C2314yes—
654#390C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2314yes—
662#389C2311yescharacteristic
663#389C2312yes—
664#389C2312yes—
665#389C2314yes—
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2312yes—
669#389C2312yes—
670#389C2314yes—
671#389C2312yes—
672#389C2312yes—
673#389C2311yescharacteristic
674#389C2311yescharacteristic
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2312yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2312yes—
695#388C2314yes—
696#388C2312yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2314yes—
706#388C2314yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2312yes—
712#388C2312yes—
713#388C2314yes—
714#388C2312yes—
715#388C2312yes—
716#388C2312yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2312yes—
726#387C2314yes—
727#387C2312yes—
728#387C2312yes—
729#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2312yes—
747#386C2314yes—
748#386C2312yes—
749#386C2312yes—
750#386C2314yes—
751#386C2312yes—
752#386C2312yes—
753#386C2312yes—
754#386C2314yes—
755#386C2312yes—
756#386C2314yes—
757#386C2312yes—
758#386C2312yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2312yes—
770#385C2312yes—
771#385C2314yes—
772#384C2311yescharacteristic
773#384C2312yes—
774#384C2312yes—
775#384C2311yescharacteristic
776#382C2312yes—
777#382C2312yes—
778#382C2311yescharacteristic
779#381C2314yes—
780#381C2312yes—
781#380C2311yescharacteristic
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2311yescharacteristic
788#380C2312yes—
789#380C2311yescharacteristic
790#380C2312yes—
791#380C2312yes—
792#380C2311yescharacteristic
793#380C2312yes—
794#380C2312yes—
795#380C2314yes—
796#379C2314yes—
797#379C2314yes—
798#379C2314yes—
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2312yes—
847C43C2312yes—
848C43C2311yescharacteristic
849C25C2414yes—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—216no—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—42no—
862C2×#41—42no—
863C2×#41—42no—
864C2×#41—42no—
865C2×#41—48no—
866C2×#41—82no—
867C2×#41—84no—
868C22×Q8—28no—
869C22×Q8—44no—
870C22×Q8—82no—
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×Q8C2414yes—
874C22×Q8C2411yescharacteristic
875C22×Q8C2412yes—
876C22×Q8C2412yes—
877C22×D4—28no—
878C22×D4—28no—
879C22×D4—28no—
880C22×D4—44no—
881C22×D4—44no—
882C22×D4—44no—
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2411yescharacteristic
897C22×D4C2411yescharacteristic
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2412yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2412yes—
912C22×D4C2414yes—
913C22×D4C2412yes—
914C23×C4—216no—
915C23×C4—48no—
916C23×C4—84no—
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2414yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2411yescharacteristic
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2412yes—
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2414yes—
937C23×C4C2414yes—
938C23×C4C2414yes—
939C4⋊Q8—28no—
940C4⋊Q8—28no—
941C4⋊Q8—28no—
942C4⋊Q8—24no—
943C4⋊Q8—24no—
944C4⋊Q8C2×D418yes—
945#127—24no—
946#127—216no—
947#127—28no—
948#127—24no—
949#127—24no—
950#127—44no—
951#127—44no—
952#127—84no—
953#126—216no—
954#126—216no—
955#126—216no—
956#126—216no—
957#125—28no—
958#125—28no—
959#125C2×D4116yes—
960#124—28no—
961#124—28no—
962#124—216no—
963#124—28no—
964#124—216no—
965#124—216no—
966#124—216no—
967#124—28no—
968#124—44no—
969#124—42no—
970#124—48no—
971#124—82no—
972#123—216no—
973#123—216no—
974#123—216no—
975#123—216no—
976#123—216no—
977#123—28no—
978#123—216no—
979#123—48no—
980C22⋊Q8—216no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—216no—
984C22⋊Q8—216no—
985C22⋊Q8—216no—
986C22⋊Q8—216no—
987C22⋊Q8—48no—
988C22⋊Q8—44no—
989C22⋊Q8—42no—
990C22⋊Q8—44no—
991C22⋊Q8C2×D4132yes—
992C22⋊Q8C2×D4116yes—
993#121—24no—
994#121—28no—
995#121—28no—
996#121—28no—
997#121—216no—
998#121—28no—
999#121—28no—
1000#121—28no—
1001#121—216no—
1002#121—28no—
1003#121—28no—
1004#121—28no—
1005#121—24no—
1006#121—28no—
1007#121—28no—
1008#121—216no—
1009#121—28no—
1010#121—24no—
1011#121—216no—
1012#121—28no—
1013#121—216no—
1014#121—28no—
1015#121—48no—
1016#121—44no—
1017#121—48no—
1018#121—48no—
1019#121—44no—
1020#121—44no—
1021#121—42no—
1022#121—44no—
1023#121—44no—
1024#121—44no—
1025#121#4118yescomplemented
1026#120—216no—
1027#120—216no—
1028#120—216no—
1029#120—216no—
1030#120—48no—
1031#120—48no—
1032#120—84no—
1033C4×Q8—24no—
1034C4×Q8—24no—
1035C4×Q8—24no—
1036C4×Q8—216no—
1037C4×Q8—216no—
1038C4×Q8—24no—
1039C4×Q8—24no—
1040C4×Q8—44no—
1041C4×Q8—42no—
1042C4×Q8C2×D418yes—
1043C4×D4—24no—
1044C4×D4—216no—
1045C4×D4—28no—
1046C4×D4—216no—
1047C4×D4—216no—
1048C4×D4—28no—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—216no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—216no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—24no—
1059C4×D4—28no—
1060C4×D4—216no—
1061C4×D4—28no—
1062C4×D4—24no—
1063C4×D4—216no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—24no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—24no—
1071C4×D4—28no—
1072C4×D4—24no—
1073C4×D4—48no—
1074C4×D4—44no—
1075C4×D4—42no—
1076C4×D4—44no—
1077C4×D4—44no—
1078C4×D4—44no—
1079C4×D4—44no—
1080C4×D4—48no—
1081C4×D4—48no—
1082C4×D4—48no—
1083C4×D4—84no—
1084C4×D4—84no—
1085C4×D4C2×D4116yes—
1086C4×D4C2×D418yes—
1087#117—28no—
1088#117—24no—
1089#117—28no—
1090#117—28no—
1091#117—24no—
1092#117—24no—
1093#117—28no—
1094#117—216no—
1095#117—28no—
1096#117—28no—
1097#117—28no—
1098#117—28no—
1099#117—44no—
1100#117—48no—
1101C2×C4⋊C4—28no—
1102C2×C4⋊C4—28no—
1103C2×C4⋊C4—28no—
1104C2×C4⋊C4—28no—
1105C2×C4⋊C4C2×D4116yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C22⋊C4—216no—
1158C2×C22⋊C4—216no—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2411yescharacteristic
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C42—28no—
1237C2×C42—28no—
1238C2×C42—24no—
1239C2×C42—24no—
1240C2×C42—28no—
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2414yes—
1249C2×C42C2414yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2412yes—
1253C2×C42C2414yes—
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2412yes—
1261C2×C42C2412yes—
1262C2×C42C2411yescharacteristic
1263C2×C42C2411yescharacteristic
1264C2×C42C2412yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2414yes—
1267C2×C42C2412yes—
1268C2×C42C2414yes—
1269C2×C42C2414yes—
1270C2×C42C2412yes—
1271C2×C42C2411yescharacteristic
1272C2×C42C2412yes—
1273C2×C42C2411yescharacteristic
1274#95C2411yescharacteristic
1275#95C2411yescharacteristic
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2411yescharacteristic
1282#95C2412yes—
1283#95C2411yescharacteristic
1284#95C2412yes—
1285#95C2414yes—
1286#95C2411yescharacteristic
1287#95C2411yescharacteristic
1288#95C2412yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2412yes—
1310#95C2414yes—
1311#95C2412yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316C24—28no—
1317C24—28no—
1318C24—44no—
1319C24—44no—
1320C24—44no—
1321C24—44no—
1322C24—44no—
1323C24C2514yes—
1324C24C2512yes—
1325C24C2512yes—
1326C24C2511yescharacteristic
1327C24C2512yes—
1328C24C2512yes—
1329C24C2511yescharacteristic
1330#41—432no—
1331#41—416no—
1332#41—416no—
1333#41—416no—
1334#41—816no—
1335#41—832no—
1336C2×Q8—22no—
1337C2×Q8—24no—
1338C2×Q8—28no—
1339C2×Q8—24no—
1340C2×Q8—22no—
1341C2×Q8—24no—
1342C2×Q8—28no—
1343C2×Q8—22no—
1344C2×Q8—22no—
1345C2×Q8—22no—
1346C2×Q8—42no—
1347C2×Q8—42no—
1348C2×Q8—44no—
1349C2×Q8—42no—
1350C2×Q8—42no—
1351C2×Q8—42no—
1352C2×Q8—816no—
1353C2×Q8C22×D414yes—
1354C2×Q8C22×D418yes—
1355C2×D4—24no—
1356C2×D4—28no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—24no—
1367C2×D4—28no—
1368C2×D4—28no—
1369C2×D4—28no—
1370C2×D4—24no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—28no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—28no—
1382C2×D4—28no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—22no—
1386C2×D4—28no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—22no—
1390C2×D4—24no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—432no—
1401C2×D4—41no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—42no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—42no—
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—42no—
1435C2×D4—42no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—42no—
1440C2×D4—42no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—432no—
1447C2×D4C22×D414yes—
1448C2×D4C2×#4114yes—
1449C2×D4C2×#4118yes—
1450C22×C4—22no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—22no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—22no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—24no—
1464C22×C4—24no—
1465C22×C4—22no—
1466C22×C4—22no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—28no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—22no—
1476C22×C4—22no—
1477C22×C4—28no—
1478C22×C4—24no—
1479C22×C4—24no—
1480C22×C4—22no—
1481C22×C4—24no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—24no—
1486C22×C4—24no—
1487C22×C4—22no—
1488C22×C4—24no—
1489C22×C4—28no—
1490C22×C4—28no—
1491C22×C4—28no—
1492C22×C4—28no—
1493C22×C4—44no—
1494C22×C4—42no—
1495C22×C4—42no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—41no—
1499C22×C4—42no—
1500C22×C4—42no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—42no—
1504C22×C4—41no—
1505C22×C4—44no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—832no—
1514C22×C4C22×D418yes—
1515C22×C4C22×D4116yes—
1516C22×C4C2×#4114yes—
1517C22×C4C2512yes—
1518C22×C4C2511yescharacteristic
1519C22×C4C2514yes—
1520C22×C4C2512yes—
1521C22×C4C2512yes—
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2511yescharacteristic
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2511yescharacteristic
1529C22×C4C2512yes—
1530C22×C4C2514yes—
1531C22×C4C2512yes—
1532C22×C4C2511yescharacteristic
1533C22×C4C2512yes—
1534C22×C4C2512yes—
1535C22×C4C2512yes—
1536C22×C4C2511yescharacteristic
1537C22×C4C2514yes—
1538C22×C4C2512yes—
1539C22×C4C2511yescharacteristic
1540C22×C4C2511yescharacteristic
1541C22×C4C2511yescharacteristic
1542C22×C4C2511yescharacteristic
1543C22×C4C2511yescharacteristic
1544C22×C4C2511yescharacteristic
1545C4⋊C4—22no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—28no—
1549C4⋊C4—28no—
1550C4⋊C4—28no—
1551C4⋊C4—28no—
1552C4⋊C4—22no—
1553C4⋊C4—22no—
1554C4⋊C4—22no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—28no—
1560C4⋊C4—24no—
1561C4⋊C4—28no—
1562C4⋊C4—24no—
1563C4⋊C4—22no—
1564C4⋊C4—24no—
1565C4⋊C4—28no—
1566C4⋊C4—28no—
1567C4⋊C4—24no—
1568C4⋊C4—22no—
1569C4⋊C4—22no—
1570C4⋊C4—22no—
1571C4⋊C4—24no—
1572C4⋊C4—42no—
1573C4⋊C4—42no—
1574C4⋊C4—44no—
1575C4⋊C4—41no—
1576C4⋊C4—42no—
1577C4⋊C4—42no—
1578C4⋊C4—42no—
1579C4⋊C4—42no—
1580C4⋊C4—42no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4—42no—
1584C4⋊C4—42no—
1585C4⋊C4—44no—
1586C4⋊C4—42no—
1587C4⋊C4C22×D414yes—
1588C4⋊C4C22×D418yes—
1589C4⋊C4C22×D418yes—
1590C4⋊C4C22×D4116yes—
1591C4⋊C4C22×D414yes—
1592C4⋊C4C22×D418yes—
1593C4⋊C4C22×D4116yes—
1594C4⋊C4C2×#4114yes—
1595C4⋊C4H(5,𝔽2)14yes—
1596C22⋊C4—24no—
1597C22⋊C4—28no—
1598C22⋊C4—24no—
1599C22⋊C4—22no—
1600C22⋊C4—28no—
1601C22⋊C4—24no—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—28no—
1605C22⋊C4—28no—
1606C22⋊C4—28no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—28no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—28no—
1615C22⋊C4—28no—
1616C22⋊C4—28no—
1617C22⋊C4—28no—
1618C22⋊C4—28no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—22no—
1623C22⋊C4—24no—
1624C22⋊C4—28no—
1625C22⋊C4—28no—
1626C22⋊C4—24no—
1627C22⋊C4—22no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—22no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—28no—
1634C22⋊C4—28no—
1635C22⋊C4—42no—
1636C22⋊C4—42no—
1637C22⋊C4—44no—
1638C22⋊C4—41no—
1639C22⋊C4—42no—
1640C22⋊C4—42no—
1641C22⋊C4—41no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4—42no—
1648C22⋊C4—42no—
1649C22⋊C4—42no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—42no—
1654C22⋊C4—42no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—42no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—42no—
1665C22⋊C4—44no—
1666C22⋊C4—42no—
1667C22⋊C4—44no—
1668C22⋊C4—42no—
1669C22⋊C4—42no—
1670C22⋊C4C22×D4116yes—
1671C22⋊C4C22×D418yes—
1672C22⋊C4C2×#4118yes—
1673C42—22no—
1674C42—22no—
1675C42—22no—
1676C42—22no—
1677C42—24no—
1678C42—24no—
1679C42—24no—
1680C42—24no—
1681C42—24no—
1682C42—22no—
1683C42—24no—
1684C42—22no—
1685C42—24no—
1686C42—28no—
1687C42—28no—
1688C42—28no—
1689C42—24no—
1690C42—22no—
1691C42—24no—
1692C42—22no—
1693C42—22no—
1694C42—24no—
1695C42—22no—
1696C42—22no—
1697C42—24no—
1698C42—44no—
1699C42—44no—
1700C42—42no—
1701C42—44no—
1702C42—42no—
1703C42—41no—
1704C42C22×D418yes—
1705C42C22×D414yes—
1706C23—22no—
1707C23—21no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—21no—
1712C23—21no—
1713C23—22no—
1714C23—22no—
1715C23—21no—
1716C23—22no—
1717C23—21no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—21no—
1722C23—22no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—24no—
1727C23—21no—
1728C23—24no—
1729C23—21no—
1730C23—22no—
1731C23—22no—
1732C23—24no—
1733C23—22no—
1734C23—21no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—21no—
1740C23—21no—
1741C23—22no—
1742C23—24no—
1743C23—22no—
1744C23—21no—
1745C23—24no—
1746C23—24no—
1747C23—22no—
1748C23—24no—
1749C23—22no—
1750C23—21no—
1751C23—22no—
1752C23—416no—
1753C23—416no—
1754C23—88no—
1755C23—88no—
1756C23—88no—
1757C23—88no—
1758C23—88no—
1759C23C23×D414yes—
1760C23C22×#4114yes—
1761C23C22×#4112yes—
1762C23C2611yescharacteristic
1763Q8—28no—
1764Q8—48no—
1765Q8—416no—
1766Q8—48no—
1767Q8—44no—
1768Q8—84no—
1769D4—28no—
1770D4—28no—
1771D4—48no—
1772D4—44no—
1773D4—48no—
1774D4—416no—
1775D4—48no—
1776D4—48no—
1777D4—48no—
1778D4—48no—
1779D4—48no—
1780D4—48no—
1781D4—416no—
1782D4—48no—
1783D4—48no—
1784D4—44no—
1785D4—44no—
1786D4—48no—
1787D4—84no—
1788D4—88no—
1789D4—88no—
1790D4—88no—
1791D4—84no—
1792D4—84no—
1793D4—88no—
1794D4—88no—
1795D4—88no—
1796D4—88no—
1797D4—88no—
1798D4—84no—
1799D4—164no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—24no—
1809C2×C4—21no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—24no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—216no—
1821C2×C4—28no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—24no—
1831C2×C4—24no—
1832C2×C4—21no—
1833C2×C4—22no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—24no—
1839C2×C4—24no—
1840C2×C4—22no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—21no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—24no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—21no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—21no—
1866C2×C4—22no—
1867C2×C4—21no—
1868C2×C4—24no—
1869C2×C4—22no—
1870C2×C4—416no—
1871C2×C4—48no—
1872C2×C4—416no—
1873C2×C4—44no—
1874C2×C4—48no—
1875C2×C4—44no—
1876C2×C4—48no—
1877C2×C4—48no—
1878C2×C4—48no—
1879C2×C4—48no—
1880C2×C4—44no—
1881C2×C4—48no—
1882C2×C4—44no—
1883C2×C4—48no—
1884C2×C4—48no—
1885C2×C4—44no—
1886C2×C4—88no—
1887C2×C4—88no—
1888C2×C4—88no—
1889C2×C4—88no—
1890C2×C4C23×D414yes—
1891C2×C4C23×D414yes—
1892C2×C4C23×D412yes—
1893C2×C4C23×D414yes—
1894C2×C4C23×D418yes—
1895C2×C4C23×D412yes—
1896C2×C4C23×D412yes—
1897C2×C4C22×#4114yes—
1898C2×C4C22×#4112yes—
1899C2×C4C22×#4112yes—
1900C2×C4C2×H(5,𝔽2)12yes—
1901C2×C4C2×H(5,𝔽2)12yes—
1902C2×C4C2×H(5,𝔽2)12yes—
1903C2×C4#58512yes—
1904C2×C4#58512yes—
1905C2×C4#58512yes—
1906C22—24no—
1907C22—22no—
1908C22—24no—
1909C22—24no—
1910C22—22no—
1911C22—24no—
1912C22—22no—
1913C22—24no—
1914C22—24no—
1915C22—41no—
1916C22—42no—
1917C22—42no—
1918C22—41no—
1919C22—42no—
1920C22—42no—
1921C22—41no—
1922C22—42no—
1923C22—42no—
1924C22—41no—
1925C22—42no—
1926C22—42no—
1927C22—44no—
1928C22—41no—
1929C22—42no—
1930C22—42no—
1931C22—41no—
1932C22—42no—
1933C22—42no—
1934C22—44no—
1935C22—42no—
1936C22—42no—
1937C22—44no—
1938C22—41no—
1939C22—41no—
1940C22—42no—
1941C22—44no—
1942C22—42no—
1943C22—41no—
1944C22—42no—
1945C22—42no—
1946C22—44no—
1947C22—41no—
1948C22—42no—
1949C22—42no—
1950C22—44no—
1951C22—42no—
1952C22—42no—
1953C22—41no—
1954C22—44no—
1955C22—832no—
1956C22C24×D411yescharacteristic
1957C22C23×#4111yescharacteristic
1958C22C22×H(5,𝔽2)11yescharacteristic
1959C22C2×#58511yescharacteristic
1960C22C2×#58511yescharacteristic
1961C22C2×#58511yescharacteristic
1962C22H(7,𝔽2)11yescharacteristic
1963C4—22no—
1964C4—24no—
1965C4—22no—
1966C4—28no—
1967C4—22no—
1968C4—24no—
1969C4—22no—
1970C4—22no—
1971C4—24no—
1972C4—24no—
1973C4—42no—
1974C4—44no—
1975C4—41no—
1976C4—41no—
1977C4—42no—
1978C4—42no—
1979C4—42no—
1980C4—41no—
1981C4—41no—
1982C4—42no—
1983C4—42no—
1984C4—44no—
1985C4—41no—
1986C4—42no—
1987C4—41no—
1988C4—42no—
1989C4D4×#4114yes—
1990C4#348714yes—
1991C2—42no—
1992C2—44no—
1993C2—44no—
1994C2—82no—
1995C2—81no—
1996C2—82no—
1997C2—84no—
1998C2C2×D4×#4111yescharacteristic
1999C2C2×#348711yescharacteristic
2000C2#6280011yescharacteristic
2001C2#6293811yescharacteristic
2002C2D4×H(5,𝔽2)11yescharacteristic
2003C2#6299211yescharacteristic
2004C2#6302211yescharacteristic
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×#3511C2semidirect
2. C2×#3481C2semidirect
3. #59680C2semidirect
4. #59652C2semidirect
5. #59137C2semidirect
6. #59136C2semidirect
7. #59118C2semidirect
8. #59056C2semidirect
9. #59053C2semidirect
10. #59001C2semidirect
11. #45404C2semidirect
12. #44886C2semidirect
13. #43928C2semidirect
14. #43120C2semidirect
15. #39948C2semidirect
16. #39876C2semidirect
17. #39342C2semidirect
18. #38953C2semidirect
19. #37803C2semidirect
20. #37785C2semidirect
21. #36496C2semidirect
22. #36493C2semidirect
23. #36492C2semidirect
24. #36440C2semidirect
25. #36411C2semidirect
26. #36142C2semidirect
27. #36122C2semidirect
28. #36102C2semidirect
29. #35768C2semidirect
30. #35752C2semidirect
31. #34715C2semidirect
32. #34681C2semidirect
33. #34317C2semidirect
34. #34265C2semidirect
35. C4×#550C2semidirect
39. C2×#556C22semidirect
41. C2×#555C22semidirect
44. C2×#554C22semidirect
48. C2×#553C22semidirect
51. C2×#548C22semidirect
52. C2×#548C22semidirect
53. C2×#547C22semidirect
57. C2×#542C22semidirect
58. C2×#537C22semidirect
60. C2×#533C22semidirect
64. C22×C4⋊Q8C22semidirect
68. C2×#525C22semidirect
69. C2×#520C22semidirect
72. C2×C4×#41C22semidirect
75. #2861C22semidirect
77. #2857C22semidirect
79. #2854C22semidirect
80. #2851C22semidirect
81. #2850C22semidirect
82. #2849C22semidirect
83. #2733C22semidirect
84. #2730C22semidirect
85. #2729C22semidirect
86. #2718C22semidirect
87. #2714C22semidirect
88. #2714C22semidirect
89. #2710C22semidirect
90. #2705C22semidirect
91. #2703C22semidirect
92. #2703C22semidirect
93. #2702C22semidirect
94. #2685C22semidirect
95. #2676C22semidirect
96. #2673C22semidirect
100. #2670C22semidirect
102. #2669C22semidirect
103. #2669C22semidirect
104. #2661C22semidirect
105. #2635C22semidirect
108. #2602C22semidirect
109. #2600C22semidirect
110. #2567C22semidirect
111. #2566C22semidirect
113. #2562C22semidirect
114. #2560C22semidirect
115. #2554C22semidirect
116. #2550C22semidirect
117. #2545C22semidirect
118. #2544C22semidirect
122. #2541C22semidirect
123. #2541C22semidirect
124. #2541C22semidirect
125. #2540C22semidirect
126. #2540C22semidirect
127. #2538C22semidirect
129. #2535C22semidirect
130. #2535C22semidirect
131. #2512C22semidirect
133. #2492C22semidirect
135. #2491C22semidirect
136. #2491C22semidirect
137. #2490C22semidirect
138. #2485C22semidirect
139. #2480C22semidirect
140. #2479C22semidirect
141. #2477C22semidirect
142. #2477C22semidirect
143. #2476C22semidirect
144. #2474C22semidirect
145. #2474C22semidirect
146. #2472C22semidirect
147. #2471C22semidirect
148. #2469C22semidirect
149. #2469C22semidirect
150. #2467C22semidirect
151. #2466C22semidirect
152. #2464C22semidirect
153. #2463C22semidirect
154. #2463C22semidirect
155. #2463C22semidirect
156. #2461C22semidirect
157. #2461C22semidirect
158. #2461C22semidirect
159. #2461C22semidirect
160. #2461C22semidirect
161. #2461C22semidirect
162. #2459C22semidirect
163. #2458C22semidirect
164. #2458C22semidirect
165. #2456C22semidirect
166. #2456C22semidirect
167. #2456C22semidirect
168. #2456C22semidirect
169. #2456C22semidirect
170. #2456C22semidirect
172. #2452C22semidirect
173. #2452C22semidirect
174. #2451C22semidirect
175. #2448C22semidirect
177. #2445C22semidirect
178. #2442C22semidirect
179. #2441C22semidirect
180. #2440C22semidirect
181. #2439C22semidirect
182. #2436C22semidirect
185. #2432C22semidirect
187. #2431C22semidirect
188. #2431C22semidirect
189. #2431C22semidirect
191. #2428C22semidirect
192. #2428C22semidirect
193. #2426C22semidirect
194. #2426C22semidirect
195. #2426C22semidirect
196. #2426C22semidirect
197. #2426C22semidirect
198. #2424C22semidirect
199. #2424C22semidirect
201. #2421C22semidirect
203. #2417C22semidirect
204. #2416C22semidirect
205. #2416C22semidirect
206. #2416C22semidirect
207. #2415C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
217. #2411C22semidirect
218. #2409C22semidirect
226. #2404C22semidirect
227. #2392C22semidirect
228. #2392C22semidirect
229. #2388C22semidirect
230. #2388C22semidirect
231. #2370C22semidirect
232. #2369C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
236. #2366C22semidirect
237. #2366C22semidirect
238. #2366C22semidirect
239. #2366C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2363C22semidirect
246. #2363C22semidirect
247. #2363C22semidirect
248. #2362C22semidirect
249. #2362C22semidirect
250. #2362C22semidirect
251. #2362C22semidirect
254. #2361C22semidirect
255. #2361C22semidirect
256. #2361C22semidirect
257. #2361C22semidirect
259. #2355C22semidirect
261. #2354C22semidirect
262. #2354C22semidirect
263. #2354C22semidirect
264. #2352C22semidirect
265. #2352C22semidirect
266. Q8×C4⋊C4C22semidirect
267. D4×C4⋊C4C22semidirect
268. #2344C22semidirect
270. #2341C22semidirect
271. #2332C22semidirect
272. #2323C22semidirect
273. #2321C22semidirect
274. #2321C22semidirect
276. C4×C4⋊Q8C22semidirect
278. C4×#127C22semidirect
279. C4×#127C22semidirect
280. C4×#125C22semidirect
281. C4×#124C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×#123C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#120C22semidirect
292. C4×#120C22semidirect
293. #2297C22semidirect
294. #2296C22semidirect
297. #2274C22semidirect
298. C42×Q8C22semidirect
299. C42×D4C22semidirect
300. C42×D4C22semidirect
317. #554D4semidirect
1025. #121#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35112
C2×#34812
#596802
#596522
#591372
#591362
#591182
#590562
#590532
#590012
#454042
#448862
#439282
#431202
#399482
#398762
#393422
#389532
#378032
#377852
#364962
#364932
#364922
#364402
#364112
#361422
#361222
#361022
#357682
#357522
#347152
#346812
#343172
#342652
C4×#5502