Finite Group Databasebeta

← #7647859

Subgroups — #7647859

Order 512.

7234 conjugacy classes of subgroups.

The subgroup lattice has 2112 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3480C211yesmaximal, characteristic, complemented
2C2×#3460C211yesmaximal, characteristic, complemented
3#41943C214yesmaximal, complemented
4#41941C214yesmaximal, complemented
5#40535C214yesmaximal, complemented
6#40528C214yesmaximal, complemented
7#39462C212yesmaximal, complemented
8#39335C212yesmaximal, complemented
9#39130C212yesmaximal, complemented
10#39119C212yesmaximal, complemented
11#37846C212yesmaximal, complemented
12#37844C212yesmaximal, complemented
13#37659C212yesmaximal, complemented
14#37657C212yesmaximal, complemented
15#37639C211yesmaximal, characteristic, complemented
16#37621C211yesmaximal, characteristic, complemented
17#37621C211yesmaximal, characteristic, complemented
18#37620C211yesmaximal, characteristic, complemented
19#37279C212yesmaximal, complemented
20#37278C212yesmaximal, complemented
21#37273C212yesmaximal, complemented
22#37272C212yesmaximal, complemented
23#35568C212yesmaximal, complemented
24#35567C212yesmaximal, complemented
25#35273C211yesmaximal, characteristic, complemented
26#35259C212yesmaximal, complemented
27#35258C212yesmaximal, complemented
28#35247C211yesmaximal, characteristic, complemented
29#35236C211yesmaximal, characteristic, complemented
30#35189C211yesmaximal, characteristic, complemented
31#35189C211yesmaximal, characteristic, complemented
32#35178C211yesmaximal, characteristic, complemented
33#34976C211yesmaximal, characteristic, complemented
34#34935C211yesmaximal, characteristic, complemented
35#34188C211yesmaximal, characteristic, complemented
36#3480—216no—
37C2×#559C2212yes—
38C2×#559C2211yescharacteristic, complemented
39C2×#557C2211yescharacteristic, complemented
40C2×#556C2211yescharacteristic
41C2×#556C2212yescomplemented
42C2×#553C2212yes—
43C2×#553C2211yescharacteristic
44C2×#553C2211yescharacteristic, complemented
45C2×#553C2212yescomplemented
46C2×#550C2211yescharacteristic
47C2×#548C2211yescharacteristic
48C2×#548C2211yescharacteristic, complemented
49#3460—216no—
50C2×#544C2211yescharacteristic
51C2×#542C2211yescharacteristic
52C2×#542C2212yes—
53C2×#542C2211yescharacteristic
54C2×#540C2211yescharacteristic
55C2×#540C2212yes—
56C2×#540C2211yescharacteristic
57C2×#538C2212yes—
58C2×#538C2212yes—
59C2×#537C2211yescharacteristic
60C2×#537C2212yescomplemented
61C2×#536C2212yescomplemented
62C2×#535C2211yescharacteristic
63C2×#535C2211yescharacteristic
64C2×#532C2211yescharacteristic
65C2×#532C2212yes—
66C2×#532C2212yes—
67C2×#532C2211yescharacteristic
68C2×#532C2211yescharacteristic, complemented
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic
71C2×#529C2212yes—
72C2×#529C2211yescharacteristic
73C2×#529C2212yes—
74C2×#529C2212yescomplemented
75C2×#529C2211yescharacteristic, complemented
76C2×#525C2212yes—
77C2×#525C2212yes—
78C2×#525C2212yes—
79C2×C4×#41C2211yescharacteristic
80C2×C4×#41C2211yescharacteristic
81C2×C4×#41C2211yescharacteristic
82C2×C4×#41C2211yescharacteristic, complemented
83C2×C4×#41C2212yescomplemented
84C22×C4×Q8C2211yescharacteristic, complemented
85C22×C4×D4C2211yescharacteristic
86#2857C2212yescomplemented
87#2856C2212yes—
88#2855C2212yescomplemented
89#2854C2212yes—
90#2854C2212yes—
91#2854C2212yescomplemented
92#2851C2212yescomplemented
93#2851C2212yescomplemented
94#2850C2212yes—
95#2850C2212yescomplemented
96#2848C2212yes—
97#2847C2212yes—
98#2823C2214yescomplemented
99#2819C2214yescomplemented
100#2813C2214yescomplemented
101#2813C2214yescomplemented
102#2733C2214yes—
103#2731C2214yes—
104#2730C2214yescomplemented
105#2729C2214yescomplemented
106#2719C2214yescomplemented
107#2716C2214yescomplemented
108#2714C2214yes—
109#2711C2214yes—
110#2699C2214yes—
111#2698C2214yes—
112#2694C2214yescomplemented
113#2688C2214yescomplemented
114#2687C2214yes—
115#2686C2214yes—
116#2685C2214yes—
117#2684C2214yes—
118#2682C2214yes—
119#2681C2214yes—
120#2678C2214yes—
121#2678C2214yes—
122#2678C2214yes—
123#2677C2214yescomplemented
124#2676C2214yes—
125#2674C2214yes—
126#2673C2214yes—
127#2673C2214yes—
128#2673C2214yes—
129#2673C2214yes—
130#2671C2214yescomplemented
131#2670C2214yes—
132#2669C2214yes—
133#2669C2214yes—
134#2662C2214yescomplemented
135#2662C2214yescomplemented
136#2637C2214yescomplemented
137#2636C2214yes—
138#2630C2214yes—
139#2630C2214yescomplemented
140#2629C2212yescomplemented
141#2629C2212yescomplemented
142#2628C2212yescomplemented
143#2628C2212yescomplemented
144#2620C2212yes—
145#2620C2212yescomplemented
146#2620C2214yescomplemented
147#2619C2212yes—
148#2619C2214yescomplemented
149#2619C2212yescomplemented
150#2618C2214yescomplemented
151#2618C2214yescomplemented
152#2616C2212yescomplemented
153#2616C2212yescomplemented
154#2615C2212yes—
155#2615C2212yes—
156#2615C2212yescomplemented
157#2615C2212yescomplemented
158#2615C2212yescomplemented
159#2615C2212yescomplemented
160#2609C2214yescomplemented
161#2601C2214yescomplemented
162#2601C2214yescomplemented
163#2592C2212yes—
164#2584C2212yescomplemented
165#2582C2211yescharacteristic, complemented
166#2582C2211yescharacteristic, complemented
167#2563C2212yescomplemented
168#2563C2212yescomplemented
169#2562C2212yes—
170#2562C2212yescomplemented
171#2562C2212yescomplemented
172#2560C2214yescomplemented
173#2559C2214yescomplemented
174#2558C2214yescomplemented
175#2557C2214yescomplemented
176#2555C2214yescomplemented
177#2554C2214yescomplemented
178#2554C2214yescomplemented
179#2553C2214yescomplemented
180#2548C2212yes—
181#2546C2212yescomplemented
182#2545C2214yescomplemented
183#2541C2212yes—
184#2541C2212yescomplemented
185#2540C2212yes—
186#2540C2212yes—
187#2540C2212yescomplemented
188#2538C2211yescharacteristic
189#2538C2211yescharacteristic
190#2538C2211yescharacteristic
191#2538C2211yescharacteristic
192#2538C2212yescomplemented
193#2538C2211yescharacteristic, complemented
194#2538C2211yescharacteristic, complemented
195#2538C2211yescharacteristic, complemented
196#2538C2211yescharacteristic, complemented
197#2537C2211yescharacteristic
198#2537C2211yescharacteristic
199#2537C2211yescharacteristic
200#2537C2211yescharacteristic
201#2537C2211yescharacteristic, complemented
202#2537C2211yescharacteristic, complemented
203#2537C2212yescomplemented
204#2536C2212yes—
205#2536C2212yescomplemented
206#2536C2212yescomplemented
207#2535C2212yes—
208#2534C2214yes—
209#2519C2214yescomplemented
210#2491C2214yescomplemented
211#2487C2212yes—
212#2486C2212yes—
213#2486C2212yescomplemented
214#2485C2212yes—
215#2485C2212yes—
216#2485C2212yes—
217#2485C2212yescomplemented
218#2469C2214yescomplemented
219#2467C2214yescomplemented
220#2465C2214yescomplemented
221#2464C2214yescomplemented
222#2464C2214yescomplemented
223#2464C2214yescomplemented
224#2464C2214yescomplemented
225#2463C2214yescomplemented
226#2461C2214yescomplemented
227#2461C2214yescomplemented
228#2459C2214yescomplemented
229#2458C2214yescomplemented
230#2458C2214yescomplemented
231#2457C2214yescomplemented
232#2456C2214yescomplemented
233#2456C2214yescomplemented
234#2456C2214yescomplemented
235#2456C2214yescomplemented
236#2455C2214yescomplemented
237#2452C2214yescomplemented
238#2445C2214yescomplemented
239#2428C2214yescomplemented
240#2417C2212yescomplemented
241#2417C2212yescomplemented
242#2416C2212yes—
243#2416C2212yes—
244#2416C2212yescomplemented
245#2416C2214yescomplemented
246#2416C2212yescomplemented
247#2415C2212yes—
248#2415C2212yescomplemented
249#2414C2212yes—
250#2414C2212yes—
251#2414C2212yes—
252#2414C2212yescomplemented
253#2414C2212yescomplemented
254#2414C2212yescomplemented
255#2413C2214yescomplemented
256#2411C2214yes—
257#2409C2212yescomplemented
258#2408C2212yes—
259#2408C2212yes—
260#2407C2212yes—
261#2407C2212yes—
262#2407C2212yes—
263#2407C2212yescomplemented
264#2392C2214yes—
265#2392C2214yes—
266#2355C2212yescomplemented
267#2355C2212yescomplemented
268#2354C2212yes—
269#2354C2212yes—
270#2352C2212yes—
271#2352C2212yes—
272#2352C2212yescomplemented
273#2352C2212yescomplemented
274#2324C2212yes—
275#2324C2212yes—
276#2324C2212yescomplemented
277#2324C2212yescomplemented
278#2323C2212yescomplemented
279#2323C2212yescomplemented
280#2323C2212yescomplemented
281#2323C2212yescomplemented
282#2314C2212yes—
283#2314C2212yescomplemented
284#2311C2212yes—
285#2311C2212yescomplemented
286#2311C2212yescomplemented
287C4×C22⋊Q8C2212yescomplemented
288C4×C22⋊Q8C2212yescomplemented
289C4×#121C2212yes—
290C4×#121C2212yes—
291C4×#121C2212yescomplemented
292C4×#121C2212yescomplemented
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic, complemented
296#2285C2211yescharacteristic, complemented
297#2285C2211yescharacteristic, complemented
298C2×#384C2211yescharacteristic, complemented
299#2280C2212yes—
300#2274C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2311yescharacteristic
307C22×#41C2311yescharacteristic
308C23×Q8C2311yescharacteristic
309C23×D4C2311yescharacteristic
310C24×C4C2312yes—
311#559—28no—
312#559—216no—
313#557—28no—
314#556—216no—
315#556—28no—
316#553—28no—
317#553—216no—
318#553—28no—
319#553—216no—
320#550—28no—
321#548—28no—
322#548—28no—
323#544—28no—
324#542—216no—
325#542—28no—
326#542—28no—
327#540—216no—
328#540—28no—
329#540—28no—
330#538—216no—
331#538—216no—
332#537—28no—
333#537—48no—
334#536—48no—
335#535—28no—
336#535—28no—
337#532—216no—
338#532—216no—
339#532—28no—
340#532—28no—
341#532—28no—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2314yes—
348C2×#127C2311yescharacteristic
349C2×#127C2311yescharacteristic
350C2×#127C2312yes—
351C2×#127C2312yes—
352C2×#127C2311yescharacteristic
353C2×#127C2314yes—
354#529—216no—
355#529—216no—
356#529—216no—
357#529—28no—
358#529—28no—
359#529—28no—
360#529—28no—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#126C2312yes—
368C2×#126C2312yes—
369C2×#126C2312yes—
370C2×#126C2312yes—
371C2×#125C2311yescharacteristic
372C2×#125C2311yescharacteristic
373C2×#125C2311yescharacteristic
374C2×#125C2311yescharacteristic
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2311yescharacteristic
381C2×#124C2311yescharacteristic
382C2×#124C2311yescharacteristic
383C2×#124C2312yes—
384C2×#124C2311yescharacteristic
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2312yes—
388C2×#124C2312yes—
389C2×#124C2312yes—
390C2×#124C2312yes—
391C2×#124C2312yes—
392C2×#124C2314yes—
393#525—216no—
394#525—216no—
395#525—48no—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2314yes—
411C2×#123C2314yes—
412C2×#123C2314yes—
413C2×#123C2314yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2314yes—
433C2×C22⋊Q8C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×#121C2311yescharacteristic
437C2×#121C2311yescharacteristic
438C2×#121C2311yescharacteristic
439C2×#121C2311yescharacteristic
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2311yescharacteristic
449C2×#121C2311yescharacteristic
450C2×#121C2311yescharacteristic
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×#121C2314yes—
469C2×#121C2312yes—
470C2×#121C2312yes—
471C2×#121C2312yes—
472C2×#121C2312yes—
473C2×#121C2312yes—
474C2×#121C2312yes—
475C2×#121C2314yes—
476C2×#121C2314yes—
477C2×#121C2314yes—
478C2×#121C2314yes—
479C2×#120C2312yes—
480C2×#120C2312yes—
481C2×#120C2312yes—
482C2×#120C2312yes—
483C2×#120C2314yes—
484C2×#120C2314yes—
485C4×#41—216no—
486C4×#41—28no—
487C4×#41—28no—
488C4×#41—28no—
489C4×#41D4116yescomplemented
490C2×C4×Q8—28no—
491C2×C4×Q8C2311yescharacteristic
492C2×C4×Q8C2311yescharacteristic
493C2×C4×Q8C2311yescharacteristic
494C2×C4×Q8C2311yescharacteristic
495C2×C4×Q8C2311yescharacteristic
496C2×C4×Q8C2311yescharacteristic
497C2×C4×Q8C2311yescharacteristic
498C2×C4×Q8C2312yes—
499C2×C4×Q8C2312yes—
500C2×C4×Q8C2311yescharacteristic
501C2×C4×Q8C2312yes—
502C2×C4×Q8C2312yes—
503C2×C4×Q8C2311yescharacteristic
504C2×C4×Q8C2311yescharacteristic
505C2×C4×D4—28no—
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2311yescharacteristic
511C2×C4×D4C2311yescharacteristic
512C2×C4×D4C2311yescharacteristic
513C2×C4×D4C2311yescharacteristic
514C2×C4×D4C2312yes—
515C2×C4×D4C2312yes—
516C2×C4×D4C2312yes—
517C2×C4×D4C2312yes—
518C2×C4×D4C2311yescharacteristic
519C2×C4×D4C2311yescharacteristic
520C2×C4×D4C2312yes—
521C2×C4×D4C2312yes—
522C2×C4×D4C2311yescharacteristic
523C2×C4×D4C2311yescharacteristic
524C2×C4×D4C2311yescharacteristic
525C2×C4×D4C2312yes—
526C2×C4×D4C2311yescharacteristic
527C2×C4×D4C2312yes—
528C2×C4×D4C2312yes—
529C2×C4×D4C2312yes—
530C2×C4×D4C2312yes—
531C2×C4×D4C2312yes—
532C2×C4×D4C2312yes—
533C2×C4×D4C2312yes—
534C2×C4×D4C2312yes—
535C2×C4×D4C2312yes—
536C2×C4×D4C2312yes—
537C2×C4×D4C2314yes—
538C2×C4×D4C2314yes—
539C2×C4×D4C2314yes—
540C2×C4×D4C2311yescharacteristic
541C2×C4×D4C2311yescharacteristic
542C2×C4×D4C2311yescharacteristic
543C2×C4×D4C2311yescharacteristic
544C2×C4×D4C2311yescharacteristic
545C2×C4×D4C2311yescharacteristic
546C2×#117C2311yescharacteristic
547C2×#117C2312yes—
548C2×#117C2312yes—
549C2×#117C2312yes—
550C2×#117C2312yes—
551C2×#117C2312yes—
552C2×#117C2312yes—
553C2×#117C2312yes—
554C2×#117C2311yescharacteristic
555C2×#117C2311yescharacteristic
556C2×#117C2312yes—
557C2×#117C2312yes—
558C2×#117C2312yes—
559C2×#117C2312yes—
560C2×#117C2312yes—
561C2×#117C2311yescharacteristic
562C2×#117C2311yescharacteristic
563C2×#117C2311yescharacteristic
564C22×C4⋊C4C2311yescharacteristic
565C22×C4⋊C4C2312yes—
566C22×C4⋊C4C2311yescharacteristic
567C22×C4⋊C4C2312yes—
568C22×C4⋊C4C2312yes—
569C22×C4⋊C4C2312yes—
570C22×C22⋊C4C2312yes—
571C22×C42C2312yes—
572C22×C42C2312yes—
573C22×C42C2312yes—
574C22×C42C2312yes—
575C22×C42C2311yescharacteristic
576C22×C42C2311yescharacteristic
577C22×C42C2311yescharacteristic
578#400C2314yes—
579#400C2314yes—
580#400C2314yes—
581#399C2314yes—
582#399C2314yes—
583#399C2314yes—
584#398C2314yes—
585#398C2314yes—
586#398C2314yes—
587#398C2314yes—
588#398C2314yes—
589#398C2314yes—
590#398C2314yes—
591#398C2314yes—
592#398C2314yes—
593#397C2314yes—
594#397C2314yes—
595#397C2314yes—
596#397C2314yes—
597#397C2314yes—
598#396C2314yes—
599#396C2314yes—
600#396C2314yes—
601#396C2314yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#396C2314yes—
607#396C2314yes—
608#396C2314yes—
609#396C2314yes—
610#396C2314yes—
611#396C2314yes—
612#396C2314yes—
613#396C2314yes—
614#395C2314yes—
615#395C2314yes—
616#395C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#394C2314yes—
642#394C2314yes—
643#394C2314yes—
644#394C2314yes—
645#394C2314yes—
646#393C2314yes—
647#393C2314yes—
648#393C2314yes—
649#393C2314yes—
650#393C2314yes—
651#393C2314yes—
652#393C2314yes—
653#392C2314yes—
654#392C2314yes—
655#392C2314yes—
656#392C2314yes—
657#392C2314yes—
658#392C2314yes—
659#392C2314yes—
660#392C2314yes—
661#392C2314yes—
662#392C2314yes—
663#392C2314yes—
664#392C2314yes—
665#392C2314yes—
666#392C2314yes—
667#392C2314yes—
668#392C2314yes—
669#392C2314yes—
670#392C2314yes—
671#392C2314yes—
672#392C2314yes—
673#392C2314yes—
674#391C2314yes—
675#391C2314yes—
676#391C2314yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#390C2314yes—
682#390C2314yes—
683#390C2314yes—
684#390C2314yes—
685#390C2314yes—
686#390C2314yes—
687#390C2312yes—
688#390C2312yes—
689#390C2314yes—
690#390C2314yes—
691#390C2312yes—
692#390C2312yes—
693#390C2314yes—
694#390C2314yes—
695#390C2312yes—
696#390C2312yes—
697#390C2312yes—
698#390C2314yes—
699#390C2312yes—
700#390C2314yes—
701#390C2314yes—
702#390C2314yes—
703#389C2312yes—
704#389C2312yes—
705#389C2314yes—
706#389C2314yes—
707#389C2312yes—
708#389C2312yes—
709#389C2314yes—
710#389C2314yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2314yes—
719#389C2312yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#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#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#387C2314yes—
757#387C2314yes—
758#387C2314yes—
759#387C2314yes—
760#387C2314yes—
761#387C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#386C2314yes—
779#386C2314yes—
780#386C2314yes—
781#386C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#384C2312yes—
793#384C2312yes—
794#384C2311yescharacteristic
795#384C2311yescharacteristic
796#384C2312yes—
797#384C2311yescharacteristic
798#384C2311yescharacteristic
799#382C2314yes—
800#382C2312yes—
801#382C2312yes—
802#382C2312yes—
803#382C2312yes—
804#382C2312yes—
805#381C2314yes—
806#381C2314yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2312yes—
825#380C2312yes—
826#380C2312yes—
827#380C2312yes—
828#380C2312yes—
829#380C2312yes—
830#380C2312yes—
831#380C2312yes—
832#380C2314yes—
833#380C2312yes—
834#380C2312yes—
835#380C2312yes—
836#380C2312yes—
837#380C2312yes—
838#380C2314yes—
839#379C2314yes—
840#379C2314yes—
841C4×C4⋊C4C2314yes—
842C4×C4⋊C4C2312yes—
843C4×C4⋊C4C2312yes—
844C4×C4⋊C4C2312yes—
845C4×C4⋊C4C2312yes—
846C4×C4⋊C4C2312yes—
847C4×C4⋊C4C2312yes—
848C4×C4⋊C4C2312yes—
849C4×C4⋊C4C2312yes—
850C4×C4⋊C4C2312yes—
851C4×C4⋊C4C2312yes—
852C4×C4⋊C4C2314yes—
853C4×C4⋊C4C2314yes—
854C4×C22⋊C4C2314yes—
855C4×C22⋊C4C2314yes—
856C4×C22⋊C4C2314yes—
857C4×C22⋊C4C2314yes—
858C4×C22⋊C4C2314yes—
859C4×C22⋊C4C2314yes—
860C25C2412yes—
861C2×#41—24no—
862C2×#41—24no—
863C2×#41—28no—
864C2×#41—24no—
865C2×#41—24no—
866C2×#41—24no—
867C2×#41—28no—
868C2×#41—28no—
869C2×#41—42no—
870C2×#41—42no—
871C2×#41—44no—
872C2×#41—44no—
873C2×#41—44no—
874C2×#41—44no—
875C2×#41—44no—
876C2×#41—44no—
877C2×#41—42no—
878C2×#41—42no—
879C2×#41—42no—
880C2×#41—42no—
881C2×#41C2×D418yes—
882C22×Q8—24no—
883C22×Q8—24no—
884C22×Q8—42no—
885C22×Q8C2411yescharacteristic
886C22×Q8C2411yescharacteristic
887C22×Q8C2412yes—
888C22×Q8C2411yescharacteristic
889C22×Q8C2412yes—
890C22×Q8C2412yes—
891C22×Q8C2412yes—
892C22×Q8C2411yescharacteristic
893C22×D4—24no—
894C22×D4—42no—
895C22×D4—42no—
896C22×D4C2411yescharacteristic
897C22×D4C2411yescharacteristic
898C22×D4C2411yescharacteristic
899C22×D4C2411yescharacteristic
900C22×D4C2411yescharacteristic
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2412yes—
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2412yes—
915C22×D4C2412yes—
916C22×D4C2412yes—
917C22×D4C2412yes—
918C22×D4C2412yes—
919C22×D4C2412yes—
920C22×D4C2412yes—
921C22×D4C2414yes—
922C22×D4C2414yes—
923C22×D4C2414yes—
924C22×D4C2414yes—
925C22×D4C2414yes—
926C22×D4C2414yes—
927C22×D4C2411yescharacteristic
928C22×D4C2411yescharacteristic
929C22×D4C2411yescharacteristic
930C23×C4—28no—
931C23×C4—44no—
932C23×C4—44no—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2412yes—
937C23×C4C2412yes—
938C23×C4C2412yes—
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C23×C4C2411yescharacteristic
946C23×C4C2411yescharacteristic
947C23×C4C2412yes—
948C23×C4C2412yes—
949C23×C4C2412yes—
950C23×C4C2412yes—
951C23×C4C2412yes—
952C23×C4C2412yes—
953C23×C4C2412yes—
954C23×C4C2412yes—
955C23×C4C2414yes—
956C23×C4C2411yescharacteristic
957C23×C4C2411yescharacteristic
958C23×C4C2411yescharacteristic
959C4⋊Q8—28no—
960C4⋊Q8—28no—
961C4⋊Q8—24no—
962C4⋊Q8—24no—
963C4⋊Q8—24no—
964C4⋊Q8—48no—
965#127—28no—
966#127—28no—
967#127—24no—
968#127—24no—
969#127—24no—
970#127—84no—
971#126—28no—
972#126—28no—
973#126—28no—
974#126—28no—
975#126—28no—
976#126—28no—
977#126—28no—
978#126—28no—
979#126—28no—
980#126—28no—
981#125—28no—
982#125—28no—
983#125—28no—
984#125—24no—
985#125—24no—
986#125—24no—
987#125—24no—
988#124—28no—
989#124—28no—
990#124—28no—
991#124—28no—
992#124—28no—
993#124—28no—
994#124—28no—
995#124—24no—
996#124—24no—
997#124—24no—
998#124—24no—
999#124—28no—
1000#124—28no—
1001#124—28no—
1002#124—48no—
1003#123—28no—
1004#123—28no—
1005#123—28no—
1006#123—28no—
1007#123—28no—
1008#123—28no—
1009#123—28no—
1010#123—28no—
1011#123—28no—
1012#123—28no—
1013#123—28no—
1014#123—28no—
1015#123—28no—
1016#123—28no—
1017#123—48no—
1018#123—48no—
1019#123—48no—
1020#123—84no—
1021C22⋊Q8—28no—
1022C22⋊Q8—28no—
1023C22⋊Q8—28no—
1024C22⋊Q8—28no—
1025C22⋊Q8—24no—
1026C22⋊Q8—24no—
1027C22⋊Q8—24no—
1028C22⋊Q8—24no—
1029C22⋊Q8—28no—
1030C22⋊Q8—28no—
1031C22⋊Q8—28no—
1032C22⋊Q8—28no—
1033C22⋊Q8—28no—
1034C22⋊Q8—28no—
1035C22⋊Q8—48no—
1036C22⋊Q8—44no—
1037C22⋊Q8—44no—
1038C22⋊Q8—44no—
1039C22⋊Q8—44no—
1040C22⋊Q8—44no—
1041#121—28no—
1042#121—28no—
1043#121—28no—
1044#121—28no—
1045#121—28no—
1046#121—28no—
1047#121—28no—
1048#121—24no—
1049#121—24no—
1050#121—24no—
1051#121—24no—
1052#121—24no—
1053#121—24no—
1054#121—24no—
1055#121—24no—
1056#121—28no—
1057#121—28no—
1058#121—24no—
1059#121—24no—
1060#121—28no—
1061#121—28no—
1062#121—28no—
1063#121—28no—
1064#121—28no—
1065#121—28no—
1066#121—28no—
1067#121—28no—
1068#121—28no—
1069#121—48no—
1070#121—48no—
1071#121—48no—
1072#121—44no—
1073#121—44no—
1074#121—44no—
1075#121—44no—
1076#121—44no—
1077#121—44no—
1078#121—44no—
1079#121—44no—
1080#121—44no—
1081#121—44no—
1082#121—44no—
1083#121—44no—
1084#121—84no—
1085#121—84no—
1086#120—28no—
1087#120—28no—
1088#120—28no—
1089#120—28no—
1090#120—48no—
1091#120—84no—
1092C4×Q8—28no—
1093C4×Q8—28no—
1094C4×Q8—24no—
1095C4×Q8—28no—
1096C4×Q8—24no—
1097C4×Q8—24no—
1098C4×Q8—24no—
1099C4×Q8—28no—
1100C4×Q8—24no—
1101C4×Q8—24no—
1102C4×Q8—24no—
1103C4×Q8—24no—
1104C4×Q8C2×D418yes—
1105C4×Q8C2×D418yes—
1106C4×D4—28no—
1107C4×D4—28no—
1108C4×D4—28no—
1109C4×D4—28no—
1110C4×D4—28no—
1111C4×D4—28no—
1112C4×D4—28no—
1113C4×D4—28no—
1114C4×D4—28no—
1115C4×D4—28no—
1116C4×D4—28no—
1117C4×D4—28no—
1118C4×D4—28no—
1119C4×D4—28no—
1120C4×D4—28no—
1121C4×D4—28no—
1122C4×D4—28no—
1123C4×D4—24no—
1124C4×D4—24no—
1125C4×D4—24no—
1126C4×D4—24no—
1127C4×D4—28no—
1128C4×D4—24no—
1129C4×D4—24no—
1130C4×D4—24no—
1131C4×D4—24no—
1132C4×D4—24no—
1133C4×D4—24no—
1134C4×D4—28no—
1135C4×D4—28no—
1136C4×D4—28no—
1137C4×D4—48no—
1138C4×D4—48no—
1139C4×D4—84no—
1140C4×D4C2×D418yes—
1141C4×D4C2×D418yes—
1142C4×D4C2×D418yes—
1143C4×D4C2×D418yes—
1144C4×D4C2×D418yes—
1145C4×D4C2×D418yes—
1146#117—24no—
1147#117—24no—
1148#117—24no—
1149#117—28no—
1150#117—28no—
1151#117—28no—
1152#117—28no—
1153#117—28no—
1154#117—28no—
1155#117—28no—
1156#117—44no—
1157#117—44no—
1158#117—44no—
1159#117—82no—
1160#117—82no—
1161#117C2×D418yes—
1162#117C2×D418yes—
1163#117C2×D418yes—
1164C2×C4⋊C4—24no—
1165C2×C4⋊C4—28no—
1166C2×C4⋊C4—24no—
1167C2×C4⋊C4—44no—
1168C2×C4⋊C4—44no—
1169C2×C4⋊C4—82no—
1170C2×C4⋊C4C2411yescharacteristic
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2411yescharacteristic
1175C2×C4⋊C4C2411yescharacteristic
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2411yescharacteristic
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2412yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2411yescharacteristic
1186C2×C4⋊C4C2411yescharacteristic
1187C2×C4⋊C4C2411yescharacteristic
1188C2×C4⋊C4C2411yescharacteristic
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2414yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2414yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2414yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2414yes—
1217C2×C4⋊C4C2414yes—
1218C2×C4⋊C4C2414yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2414yes—
1221C2×C4⋊C4C2414yes—
1222C2×C4⋊C4C2414yes—
1223C2×C4⋊C4C2414yes—
1224C2×C4⋊C4C2414yes—
1225C2×C4⋊C4C2414yes—
1226C2×C4⋊C4C2414yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2411yescharacteristic
1229C2×C4⋊C4C2411yescharacteristic
1230C2×C4⋊C4C2411yescharacteristic
1231C2×C4⋊C4C2411yescharacteristic
1232C2×C4⋊C4C2411yescharacteristic
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C22⋊C4—28no—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2414yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2412yes—
1265C2×C22⋊C4C2412yes—
1266C2×C22⋊C4C2412yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2412yes—
1270C2×C22⋊C4C2412yes—
1271C2×C22⋊C4C2412yes—
1272C2×C22⋊C4C2414yes—
1273C2×C22⋊C4C2414yes—
1274C2×C22⋊C4C2414yes—
1275C2×C22⋊C4C2414yes—
1276C2×C22⋊C4C2414yes—
1277C2×C22⋊C4C2414yes—
1278C2×C22⋊C4C2414yes—
1279C2×C22⋊C4C2414yes—
1280C2×C22⋊C4C2414yes—
1281C2×C22⋊C4C2414yes—
1282C2×C22⋊C4C2414yes—
1283C2×C22⋊C4C2414yes—
1284C2×C22⋊C4C2414yes—
1285C2×C22⋊C4C2414yes—
1286C2×C22⋊C4C2414yes—
1287C2×C22⋊C4C2414yes—
1288C2×C22⋊C4C2414yes—
1289C2×C22⋊C4C2414yes—
1290C2×C22⋊C4C2414yes—
1291C2×C22⋊C4C2414yes—
1292C2×C22⋊C4C2414yes—
1293C2×C22⋊C4C2414yes—
1294C2×C22⋊C4C2414yes—
1295C2×C22⋊C4C2414yes—
1296C2×C22⋊C4C2414yes—
1297C2×C22⋊C4C2414yes—
1298C2×C22⋊C4C2414yes—
1299C2×C22⋊C4C2414yes—
1300C2×C22⋊C4C2414yes—
1301C2×C22⋊C4C2414yes—
1302C2×C22⋊C4C2414yes—
1303C2×C22⋊C4C2411yescharacteristic
1304C2×C22⋊C4C2411yescharacteristic
1305C2×C22⋊C4C2411yescharacteristic
1306C2×C22⋊C4C2411yescharacteristic
1307C2×C22⋊C4C2411yescharacteristic
1308C2×C22⋊C4C2411yescharacteristic
1309C2×C42—28no—
1310C2×C42—28no—
1311C2×C42—28no—
1312C2×C42—28no—
1313C2×C42C2×D418yes—
1314C2×C42C2×D418yes—
1315C2×C42C2×D418yes—
1316C2×C42C2412yes—
1317C2×C42C2412yes—
1318C2×C42C2412yes—
1319C2×C42C2412yes—
1320C2×C42C2412yes—
1321C2×C42C2412yes—
1322C2×C42C2412yes—
1323C2×C42C2412yes—
1324C2×C42C2412yes—
1325C2×C42C2412yes—
1326C2×C42C2412yes—
1327C2×C42C2414yes—
1328C2×C42C2414yes—
1329C2×C42C2414yes—
1330C2×C42C2414yes—
1331C2×C42C2414yes—
1332C2×C42C2411yescharacteristic
1333C2×C42C2411yescharacteristic
1334C2×C42C2411yescharacteristic
1335C2×C42C2411yescharacteristic
1336C2×C42C2411yescharacteristic
1337C2×C42C2411yescharacteristic
1338C2×C42C2411yescharacteristic
1339C2×C42C2411yescharacteristic
1340C2×C42C2411yescharacteristic
1341C2×C42C2411yescharacteristic
1342#95C2414yes—
1343#95C2414yes—
1344#95C2414yes—
1345#95C2414yes—
1346#95C2414yes—
1347#95C2414yes—
1348#95C2414yes—
1349#95C2414yes—
1350#95C2414yes—
1351#95C2414yes—
1352#95C2414yes—
1353#95C2414yes—
1354#95C2414yes—
1355#95C2414yes—
1356#95C2414yes—
1357#95C2414yes—
1358#95C2414yes—
1359#95C2414yes—
1360#95C2414yes—
1361#95C2414yes—
1362#95C2414yes—
1363#95C2414yes—
1364#95C2414yes—
1365#95C2414yes—
1366#95C2414yes—
1367#95C2414yes—
1368#95C2414yes—
1369#95C2414yes—
1370#95C2414yes—
1371#95C2414yes—
1372C24—24no—
1373C24—42no—
1374C24—42no—
1375C24—42no—
1376C24—42no—
1377C24—42no—
1378C24—42no—
1379C24C2512yes—
1380C24C2512yes—
1381C24C2512yes—
1382C24C2512yes—
1383C24C2512yes—
1384C24C2511yescharacteristic
1385C24C2511yescharacteristic
1386C24C2511yescharacteristic
1387#41—416no—
1388#41—416no—
1389#41—416no—
1390#41—416no—
1391#41—432no—
1392#41—816no—
1393#41—816no—
1394C2×Q8—22no—
1395C2×Q8—24no—
1396C2×Q8—22no—
1397C2×Q8—22no—
1398C2×Q8—24no—
1399C2×Q8—24no—
1400C2×Q8—24no—
1401C2×Q8—22no—
1402C2×Q8—24no—
1403C2×Q8—22no—
1404C2×Q8—22no—
1405C2×Q8—22no—
1406C2×Q8—22no—
1407C2×Q8—42no—
1408C2×Q8—41no—
1409C2×Q8—41no—
1410C2×Q8—42no—
1411C2×Q8—42no—
1412C2×Q8—42no—
1413C2×Q8—42no—
1414C2×Q8—42no—
1415C2×Q8—42no—
1416C2×Q8—416no—
1417C2×Q8C22×D414yes—
1418C2×Q8H(5,𝔽2)14yes—
1419C2×D4—24no—
1420C2×D4—24no—
1421C2×D4—24no—
1422C2×D4—24no—
1423C2×D4—24no—
1424C2×D4—24no—
1425C2×D4—24no—
1426C2×D4—24no—
1427C2×D4—24no—
1428C2×D4—24no—
1429C2×D4—24no—
1430C2×D4—24no—
1431C2×D4—24no—
1432C2×D4—24no—
1433C2×D4—22no—
1434C2×D4—22no—
1435C2×D4—22no—
1436C2×D4—22no—
1437C2×D4—22no—
1438C2×D4—24no—
1439C2×D4—24no—
1440C2×D4—24no—
1441C2×D4—24no—
1442C2×D4—24no—
1443C2×D4—24no—
1444C2×D4—24no—
1445C2×D4—24no—
1446C2×D4—22no—
1447C2×D4—22no—
1448C2×D4—22no—
1449C2×D4—22no—
1450C2×D4—22no—
1451C2×D4—22no—
1452C2×D4—22no—
1453C2×D4—22no—
1454C2×D4—22no—
1455C2×D4—22no—
1456C2×D4—42no—
1457C2×D4—42no—
1458C2×D4—41no—
1459C2×D4—41no—
1460C2×D4—41no—
1461C2×D4—41no—
1462C2×D4—41no—
1463C2×D4—41no—
1464C2×D4—42no—
1465C2×D4—42no—
1466C2×D4—42no—
1467C2×D4—42no—
1468C2×D4—42no—
1469C2×D4—42no—
1470C2×D4—42no—
1471C2×D4—42no—
1472C2×D4—42no—
1473C2×D4—42no—
1474C2×D4—416no—
1475C2×D4—44no—
1476C2×D4—44no—
1477C2×D4—44no—
1478C2×D4—42no—
1479C2×D4—42no—
1480C2×D4—42no—
1481C2×D4—42no—
1482C2×D4—44no—
1483C2×D4—44no—
1484C2×D4—44no—
1485C2×D4—44no—
1486C2×D4—42no—
1487C2×D4—42no—
1488C2×D4—42no—
1489C2×D4—44no—
1490C2×D4—42no—
1491C2×D4—42no—
1492C2×D4—42no—
1493C2×D4—42no—
1494C2×D4—42no—
1495C2×D4—42no—
1496C2×D4—42no—
1497C2×D4—42no—
1498C2×D4—42no—
1499C2×D4—44no—
1500C2×D4—42no—
1501C2×D4—42no—
1502C2×D4—42no—
1503C2×D4—42no—
1504C2×D4—42no—
1505C2×D4—42no—
1506C2×D4—42no—
1507C2×D4—42no—
1508C2×D4—42no—
1509C2×D4—42no—
1510C2×D4—44no—
1511C2×D4—44no—
1512C2×D4—44no—
1513C2×D4—44no—
1514C2×D4—44no—
1515C2×D4—44no—
1516C2×D4—44no—
1517C2×D4—44no—
1518C2×D4—44no—
1519C2×D4C22×D414yes—
1520C2×D4C22×D414yes—
1521C2×D4C22×D414yes—
1522C22×C4—22no—
1523C22×C4—22no—
1524C22×C4—22no—
1525C22×C4—22no—
1526C22×C4—22no—
1527C22×C4—22no—
1528C22×C4—22no—
1529C22×C4—22no—
1530C22×C4—22no—
1531C22×C4—22no—
1532C22×C4—22no—
1533C22×C4—22no—
1534C22×C4—24no—
1535C22×C4—24no—
1536C22×C4—24no—
1537C22×C4—24no—
1538C22×C4—24no—
1539C22×C4—24no—
1540C22×C4—24no—
1541C22×C4—24no—
1542C22×C4—24no—
1543C22×C4—24no—
1544C22×C4—24no—
1545C22×C4—24no—
1546C22×C4—24no—
1547C22×C4—24no—
1548C22×C4—24no—
1549C22×C4—24no—
1550C22×C4—24no—
1551C22×C4—24no—
1552C22×C4—24no—
1553C22×C4—24no—
1554C22×C4—24no—
1555C22×C4—24no—
1556C22×C4—24no—
1557C22×C4—24no—
1558C22×C4—24no—
1559C22×C4—24no—
1560C22×C4—24no—
1561C22×C4—24no—
1562C22×C4—24no—
1563C22×C4—41no—
1564C22×C4—41no—
1565C22×C4—41no—
1566C22×C4—41no—
1567C22×C4—41no—
1568C22×C4—41no—
1569C22×C4—42no—
1570C22×C4—42no—
1571C22×C4—42no—
1572C22×C4—42no—
1573C22×C4—42no—
1574C22×C4—42no—
1575C22×C4—42no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—44no—
1589C22×C4—44no—
1590C22×C4—44no—
1591C22×C4—816no—
1592C22×C4C22×D414yes—
1593C22×C4C22×D414yes—
1594C22×C4C22×D414yes—
1595C22×C4C22×D414yes—
1596C22×C4C22×D414yes—
1597C22×C4C22×D414yes—
1598C22×C4C22×D414yes—
1599C22×C4C22×D414yes—
1600C22×C4C22×D414yes—
1601C22×C4C2514yes—
1602C22×C4C2514yes—
1603C22×C4C2514yes—
1604C22×C4C2512yes—
1605C22×C4C2514yes—
1606C22×C4C2512yes—
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2511yescharacteristic
1616C22×C4C2511yescharacteristic
1617C22×C4C2511yescharacteristic
1618C22×C4C2511yescharacteristic
1619C22×C4C2511yescharacteristic
1620C22×C4C2511yescharacteristic
1621C22×C4C2511yescharacteristic
1622C22×C4C2511yescharacteristic
1623C22×C4C2511yescharacteristic
1624C22×C4C2511yescharacteristic
1625C22×C4C2512yes—
1626C22×C4C2511yescharacteristic
1627C22×C4C2511yescharacteristic
1628C4⋊C4—24no—
1629C4⋊C4—22no—
1630C4⋊C4—24no—
1631C4⋊C4—22no—
1632C4⋊C4—22no—
1633C4⋊C4—24no—
1634C4⋊C4—22no—
1635C4⋊C4—24no—
1636C4⋊C4—24no—
1637C4⋊C4—24no—
1638C4⋊C4—22no—
1639C4⋊C4—22no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—22no—
1643C4⋊C4—22no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—24no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—28no—
1665C4⋊C4—28no—
1666C4⋊C4—28no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—44no—
1673C4⋊C4—44no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—44no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—44no—
1680C4⋊C4—44no—
1681C4⋊C4—44no—
1682C4⋊C4—44no—
1683C4⋊C4—44no—
1684C4⋊C4—44no—
1685C4⋊C4—44no—
1686C4⋊C4C22×D414yes—
1687C4⋊C4C22×D414yes—
1688C4⋊C4C22×D414yes—
1689C4⋊C4C22×D414yes—
1690C4⋊C4C22×D414yes—
1691C4⋊C4C22×D414yes—
1692C22⋊C4—24no—
1693C22⋊C4—24no—
1694C22⋊C4—24no—
1695C22⋊C4—24no—
1696C22⋊C4—24no—
1697C22⋊C4—24no—
1698C22⋊C4—24no—
1699C22⋊C4—24no—
1700C22⋊C4—24no—
1701C22⋊C4—24no—
1702C22⋊C4—24no—
1703C22⋊C4—24no—
1704C22⋊C4—24no—
1705C22⋊C4—24no—
1706C22⋊C4—24no—
1707C22⋊C4—24no—
1708C22⋊C4—24no—
1709C22⋊C4—24no—
1710C22⋊C4—24no—
1711C22⋊C4—24no—
1712C22⋊C4—24no—
1713C22⋊C4—24no—
1714C22⋊C4—24no—
1715C22⋊C4—24no—
1716C22⋊C4—24no—
1717C22⋊C4—24no—
1718C22⋊C4—24no—
1719C22⋊C4—24no—
1720C22⋊C4—24no—
1721C22⋊C4—24no—
1722C22⋊C4—24no—
1723C22⋊C4—24no—
1724C22⋊C4—24no—
1725C22⋊C4—24no—
1726C22⋊C4—24no—
1727C22⋊C4—28no—
1728C22⋊C4—28no—
1729C22⋊C4—28no—
1730C22⋊C4—44no—
1731C22⋊C4—44no—
1732C22⋊C4—44no—
1733C22⋊C4—44no—
1734C22⋊C4—44no—
1735C22⋊C4—44no—
1736C22⋊C4—44no—
1737C22⋊C4—44no—
1738C22⋊C4—44no—
1739C22⋊C4—44no—
1740C22⋊C4—44no—
1741C22⋊C4—44no—
1742C22⋊C4—44no—
1743C22⋊C4—44no—
1744C22⋊C4—44no—
1745C22⋊C4—44no—
1746C22⋊C4—44no—
1747C22⋊C4—44no—
1748C22⋊C4—44no—
1749C22⋊C4—44no—
1750C22⋊C4—44no—
1751C22⋊C4—44no—
1752C22⋊C4—44no—
1753C22⋊C4—44no—
1754C22⋊C4—44no—
1755C22⋊C4—44no—
1756C22⋊C4—44no—
1757C22⋊C4—44no—
1758C22⋊C4—44no—
1759C22⋊C4—44no—
1760C22⋊C4C22×D414yes—
1761C22⋊C4C22×D414yes—
1762C22⋊C4C22×D414yes—
1763C22⋊C4C22×D414yes—
1764C22⋊C4C22×D414yes—
1765C22⋊C4C22×D414yes—
1766C42—24no—
1767C42—24no—
1768C42—24no—
1769C42—24no—
1770C42—24no—
1771C42—24no—
1772C42—24no—
1773C42—24no—
1774C42—24no—
1775C42—24no—
1776C42—24no—
1777C42—44no—
1778C42—44no—
1779C42—44no—
1780C42—44no—
1781C42—44no—
1782C42C22×D414yes—
1783C42C22×D414yes—
1784C42C22×D414yes—
1785C42C22×D414yes—
1786C42C22×D414yes—
1787C42C22×D414yes—
1788C42C22×D414yes—
1789C42C22×D414yes—
1790C42C22×D414yes—
1791C42C22×D414yes—
1792C23—21no—
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—21no—
1798C23—21no—
1799C23—21no—
1800C23—21no—
1801C23—21no—
1802C23—21no—
1803C23—21no—
1804C23—21no—
1805C23—21no—
1806C23—21no—
1807C23—21no—
1808C23—21no—
1809C23—21no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—22no—
1822C23—22no—
1823C23—22no—
1824C23—22no—
1825C23—22no—
1826C23—22no—
1827C23—22no—
1828C23—22no—
1829C23—22no—
1830C23—22no—
1831C23—22no—
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—48no—
1846C23—84no—
1847C23—84no—
1848C23—84no—
1849C23—84no—
1850C23—84no—
1851C23—84no—
1852C23C23×D412yes—
1853C23C23×D412yes—
1854C23C23×D412yes—
1855C23C2611yescharacteristic
1856Q8—28no—
1857Q8—44no—
1858Q8—48no—
1859Q8—48no—
1860Q8—44no—
1861Q8—44no—
1862Q8—84no—
1863Q8—84no—
1864D4—44no—
1865D4—44no—
1866D4—44no—
1867D4—48no—
1868D4—48no—
1869D4—48no—
1870D4—48no—
1871D4—48no—
1872D4—48no—
1873D4—48no—
1874D4—44no—
1875D4—44no—
1876D4—44no—
1877D4—44no—
1878D4—44no—
1879D4—84no—
1880D4—84no—
1881D4—84no—
1882D4—84no—
1883D4—84no—
1884D4—84no—
1885D4—84no—
1886D4—84no—
1887D4—84no—
1888D4—84no—
1889D4—84no—
1890D4—84no—
1891D4—84no—
1892D4—88no—
1893D4—88no—
1894D4—88no—
1895D4—164no—
1896D4—164no—
1897D4—164no—
1898C2×C4—22no—
1899C2×C4—21no—
1900C2×C4—21no—
1901C2×C4—21no—
1902C2×C4—21no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—21no—
1906C2×C4—21no—
1907C2×C4—21no—
1908C2×C4—21no—
1909C2×C4—21no—
1910C2×C4—21no—
1911C2×C4—22no—
1912C2×C4—21no—
1913C2×C4—21no—
1914C2×C4—21no—
1915C2×C4—21no—
1916C2×C4—21no—
1917C2×C4—21no—
1918C2×C4—21no—
1919C2×C4—21no—
1920C2×C4—28no—
1921C2×C4—28no—
1922C2×C4—28no—
1923C2×C4—28no—
1924C2×C4—28no—
1925C2×C4—28no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—24no—
1937C2×C4—24no—
1938C2×C4—24no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—24no—
1944C2×C4—24no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—24no—
1948C2×C4—24no—
1949C2×C4—24no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—24no—
1959C2×C4—24no—
1960C2×C4—24no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—24no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—44no—
1969C2×C4—44no—
1970C2×C4—44no—
1971C2×C4—48no—
1972C2×C4—48no—
1973C2×C4—48no—
1974C2×C4—48no—
1975C2×C4—48no—
1976C2×C4—48no—
1977C2×C4—48no—
1978C2×C4—48no—
1979C2×C4—48no—
1980C2×C4—84no—
1981C2×C4—84no—
1982C2×C4—84no—
1983C2×C4—84no—
1984C2×C4—84no—
1985C2×C4—84no—
1986C2×C4—84no—
1987C2×C4—164no—
1988C2×C4C23×D412yes—
1989C2×C4C23×D412yes—
1990C2×C4C23×D412yes—
1991C2×C4C23×D412yes—
1992C2×C4C23×D412yes—
1993C2×C4C23×D412yes—
1994C2×C4C23×D412yes—
1995C2×C4C23×D412yes—
1996C2×C4C23×D412yes—
1997C2×C4C23×D412yes—
1998C2×C4C23×D412yes—
1999C2×C4C23×D412yes—
2000C2×C4C2×H(5,𝔽2)14yes—
2001C2×C4C2×H(5,𝔽2)12yes—
2002C2×C4#58512yes—
2003C2×C4#58512yes—
2004C2×C4#58512yes—
2005C22—22no—
2006C22—22no—
2007C22—22no—
2008C22—22no—
2009C22—22no—
2010C22—22no—
2011C22—22no—
2012C22—22no—
2013C22—22no—
2014C22—41no—
2015C22—41no—
2016C22—41no—
2017C22—41no—
2018C22—41no—
2019C22—41no—
2020C22—41no—
2021C22—41no—
2022C22—41no—
2023C22—41no—
2024C22—41no—
2025C22—41no—
2026C22—42no—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—42no—
2032C22—42no—
2033C22—42no—
2034C22—42no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22—42no—
2044C22—42no—
2045C22—42no—
2046C22—42no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22—42no—
2056C22—42no—
2057C22—42no—
2058C22—42no—
2059C22—42no—
2060C22—42no—
2061C22—816no—
2062C22C24×D411yescharacteristic
2063C22C22×H(5,𝔽2)11yescharacteristic
2064C22C2×#58511yescharacteristic
2065C22C2×#58511yescharacteristic
2066C22C2×#58511yescharacteristic
2067C22H(7,𝔽2)11yescharacteristic
2068C222−1+611yescharacteristic
2069C4—22no—
2070C4—22no—
2071C4—22no—
2072C4—24no—
2073C4—22no—
2074C4—22no—
2075C4—22no—
2076C4—22no—
2077C4—22no—
2078C4—22no—
2079C4—22no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—42no—
2084C4—42no—
2085C4—42no—
2086C4—42no—
2087C4—44no—
2088C4—44no—
2089C4—44no—
2090C4—44no—
2091C4—42no—
2092C4—42no—
2093C4—42no—
2094C4#344914yes—
2095C4#348814yes—
2096C2—42no—
2097C2—42no—
2098C2—42no—
2099C2—82no—
2100C2—82no—
2101C2—82no—
2102C2—82no—
2103C2—82no—
2104C2C2×#344911yescharacteristic
2105C2C2×#348811yescharacteristic
2106C2#6285311yescharacteristic
2107C2#6292211yescharacteristic
2108C2#6292311yescharacteristic
2109C2#6293811yescharacteristic
2110C2#6293911yescharacteristic
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×#3480C2semidirect
2. C2×#3460C2semidirect
3. #41943C2semidirect
4. #41941C2semidirect
5. #40535C2semidirect
6. #40528C2semidirect
7. #39462C2semidirect
8. #39335C2semidirect
9. #39130C2semidirect
10. #39119C2semidirect
11. #37846C2semidirect
12. #37844C2semidirect
13. #37659C2semidirect
14. #37657C2semidirect
15. #37639C2semidirect
16. #37621C2semidirect
17. #37621C2semidirect
18. #37620C2semidirect
19. #37279C2semidirect
20. #37278C2semidirect
21. #37273C2semidirect
22. #37272C2semidirect
23. #35568C2semidirect
24. #35567C2semidirect
25. #35273C2semidirect
26. #35259C2semidirect
27. #35258C2semidirect
28. #35247C2semidirect
29. #35236C2semidirect
30. #35189C2semidirect
31. #35189C2semidirect
32. #35178C2semidirect
33. #34976C2semidirect
34. #34935C2semidirect
35. #34188C2semidirect
38. C2×#559C22semidirect
39. C2×#557C22semidirect
41. C2×#556C22semidirect
44. C2×#553C22semidirect
45. C2×#553C22semidirect
48. C2×#548C22semidirect
60. C2×#537C22semidirect
61. C2×#536C22semidirect
68. C2×#532C22semidirect
74. C2×#529C22semidirect
75. C2×#529C22semidirect
82. C2×C4×#41C22semidirect
83. C2×C4×#41C22semidirect
84. C22×C4×Q8C22semidirect
86. #2857C22semidirect
88. #2855C22semidirect
91. #2854C22semidirect
92. #2851C22semidirect
93. #2851C22semidirect
95. #2850C22semidirect
98. #2823C22semidirect
99. #2819C22semidirect
100. #2813C22semidirect
101. #2813C22semidirect
104. #2730C22semidirect
105. #2729C22semidirect
106. #2719C22semidirect
107. #2716C22semidirect
112. #2694C22semidirect
113. #2688C22semidirect
123. #2677C22semidirect
130. #2671C22semidirect
134. #2662C22semidirect
135. #2662C22semidirect
136. #2637C22semidirect
139. #2630C22semidirect
140. #2629C22semidirect
141. #2629C22semidirect
142. #2628C22semidirect
143. #2628C22semidirect
145. #2620C22semidirect
146. #2620C22semidirect
148. #2619C22semidirect
149. #2619C22semidirect
150. #2618C22semidirect
151. #2618C22semidirect
152. #2616C22semidirect
153. #2616C22semidirect
156. #2615C22semidirect
157. #2615C22semidirect
158. #2615C22semidirect
159. #2615C22semidirect
160. #2609C22semidirect
161. #2601C22semidirect
162. #2601C22semidirect
164. #2584C22semidirect
165. #2582C22semidirect
166. #2582C22semidirect
167. #2563C22semidirect
168. #2563C22semidirect
170. #2562C22semidirect
171. #2562C22semidirect
172. #2560C22semidirect
173. #2559C22semidirect
174. #2558C22semidirect
175. #2557C22semidirect
176. #2555C22semidirect
177. #2554C22semidirect
178. #2554C22semidirect
179. #2553C22semidirect
181. #2546C22semidirect
182. #2545C22semidirect
184. #2541C22semidirect
187. #2540C22semidirect
192. #2538C22semidirect
193. #2538C22semidirect
194. #2538C22semidirect
195. #2538C22semidirect
196. #2538C22semidirect
201. #2537C22semidirect
202. #2537C22semidirect
203. #2537C22semidirect
205. #2536C22semidirect
206. #2536C22semidirect
209. #2519C22semidirect
210. #2491C22semidirect
213. #2486C22semidirect
217. #2485C22semidirect
218. #2469C22semidirect
219. #2467C22semidirect
220. #2465C22semidirect
221. #2464C22semidirect
222. #2464C22semidirect
223. #2464C22semidirect
224. #2464C22semidirect
225. #2463C22semidirect
226. #2461C22semidirect
227. #2461C22semidirect
228. #2459C22semidirect
229. #2458C22semidirect
230. #2458C22semidirect
231. #2457C22semidirect
232. #2456C22semidirect
233. #2456C22semidirect
234. #2456C22semidirect
235. #2456C22semidirect
236. #2455C22semidirect
237. #2452C22semidirect
238. #2445C22semidirect
239. #2428C22semidirect
240. #2417C22semidirect
241. #2417C22semidirect
244. #2416C22semidirect
245. #2416C22semidirect
246. #2416C22semidirect
248. #2415C22semidirect
252. #2414C22semidirect
253. #2414C22semidirect
254. #2414C22semidirect
255. #2413C22semidirect
257. #2409C22semidirect
263. #2407C22semidirect
266. #2355C22semidirect
267. #2355C22semidirect
272. #2352C22semidirect
273. #2352C22semidirect
276. #2324C22semidirect
277. #2324C22semidirect
278. #2323C22semidirect
279. #2323C22semidirect
280. #2323C22semidirect
281. #2323C22semidirect
283. #2314C22semidirect
285. #2311C22semidirect
286. #2311C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
291. C4×#121C22semidirect
292. C4×#121C22semidirect
295. #2285C22semidirect
296. #2285C22semidirect
297. #2285C22semidirect
298. C2×#384C22semidirect
300. #2274C22semidirect
489. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34802
C2×#34602
#419432
#419412
#405352
#405282
#394622
#393352
#391302
#391192
#378462
#378442
#376592
#376572
#376392
#376212
#376202
#372792
#372782
#372732
#372722
#355682
#355672
#352732
#352592
#352582
#352472
#352362
#351892
#351782
#349762
#349352
#341882