Finite Group Databasebeta

← #7720527

Subgroups — #7720527

Order 512.

6977 conjugacy classes of subgroups.

The subgroup lattice has 1962 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3552C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#50890C214yesmaximal, complemented
4#50889C214yesmaximal, complemented
5#50858C214yesmaximal, complemented
6#50636C214yesmaximal, complemented
7#45416C212yesmaximal, complemented
8#45385C212yesmaximal, complemented
9#45332C212yesmaximal, complemented
10#45217C212yesmaximal, complemented
11#45195C212yesmaximal, complemented
12#45144C212yesmaximal, complemented
13#45134C212yesmaximal, complemented
14#45134C212yesmaximal, complemented
15#39599C211yesmaximal, characteristic, complemented
16#39596C211yesmaximal, characteristic, complemented
17#38923C211yesmaximal, characteristic, complemented
18#38921C212yesmaximal, complemented
19#38920C211yesmaximal, characteristic, complemented
20#38914C212yesmaximal, complemented
21#37846C212yesmaximal, complemented
22#37838C212yesmaximal, complemented
23#37281C212yesmaximal, complemented
24#37280C212yesmaximal, complemented
25#36505C211yesmaximal, characteristic, complemented
26#36444C211yesmaximal, characteristic, complemented
27#36161C211yesmaximal, characteristic, complemented
28#36153C211yesmaximal, characteristic, complemented
29#35316C211yesmaximal, characteristic, complemented
30#35279C211yesmaximal, characteristic, complemented
31#35260C212yesmaximal, complemented
32#35253C212yesmaximal, complemented
33#35189C211yesmaximal, characteristic, complemented
34#34614C211yesmaximal, characteristic, complemented
35#34383C211yesmaximal, characteristic, complemented
36#3552—216no—
37C2×#563C2214yescomplemented
38C2×#557C2211yescharacteristic, complemented
39#3475—216no—
40C2×#556C2211yescharacteristic
41C2×#556C2211yescharacteristic
42C2×#555C2211yescharacteristic
43C2×#554C2211yescharacteristic
44C2×#554C2212yescomplemented
45C2×#553C2212yes—
46C2×#553C2212yescomplemented
47C2×#552C2211yescharacteristic
48C2×#552C2211yescharacteristic
49C2×#552C2212yes—
50C2×#551C2212yes—
51C2×#551C2212yes—
52C2×D4×Q8C2212yescomplemented
53C2×D4×Q8C2211yescharacteristic, complemented
54C2×#548C2212yes—
55C2×#548C2212yes—
56C2×#547C2211yescharacteristic
57C2×#547C2211yescharacteristic
58C2×#546C2211yescharacteristic
59C2×#546C2211yescharacteristic
60C2×#546C2212yes—
61C2×#544C2212yescomplemented
62C2×#542C2212yescomplemented
63C2×#541C2212yescomplemented
64C2×#539C2214yescomplemented
65C2×#536C2212yes—
66C2×#536C2212yes—
67C2×#533C2211yescharacteristic
68C22×C4⋊Q8C2211yescharacteristic, complemented
69C2×#529C2212yes—
70C2×#529C2211yescharacteristic
71C2×#529C2212yes—
72C2×#529C2211yescharacteristic
73C2×#529C2211yescharacteristic, complemented
74C2×#525C2212yes—
75C2×C4×#41C2211yescharacteristic
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2211yescharacteristic
78C22×C4×D4C2211yescharacteristic
79C22×#117C2212yes—
80#2857C2211yescharacteristic
81#2857C2211yescharacteristic
82#2857C2211yescharacteristic, complemented
83#2857C2212yescomplemented
84#2857C2211yescharacteristic, complemented
85#2857C2212yescomplemented
86#2857C2212yescomplemented
87#2851C2212yescomplemented
88#2851C2212yescomplemented
89#2850C2212yescomplemented
90#2848C2212yes—
91#2847C2212yes—
92#2727C2214yescomplemented
93#2726C2214yescomplemented
94#2723C2214yescomplemented
95#2722C2214yescomplemented
96#2721C2214yescomplemented
97#2721C2214yescomplemented
98#2720C2214yescomplemented
99#2718C2214yescomplemented
100#2713C2214yescomplemented
101#2712C2214yescomplemented
102#2706C2214yescomplemented
103#2704C2214yes—
104#2704C2214yescomplemented
105#2702C2214yescomplemented
106#2700C2214yescomplemented
107#2699C2214yescomplemented
108#2698C2214yescomplemented
109#2698C2214yescomplemented
110#2695C2214yescomplemented
111#2695C2214yescomplemented
112#2694C2214yes—
113#2692C2214yes—
114#2690C2214yescomplemented
115#2690C2214yescomplemented
116#2689C2214yescomplemented
117#2687C2214yes—
118#2687C2214yescomplemented
119#2686C2214yescomplemented
120#2681C2214yescomplemented
121#2680C2214yes—
122#2680C2214yes—
123#2680C2214yescomplemented
124#2678C2214yes—
125#2678C2214yes—
126#2674C2214yescomplemented
127#2672C2214yes—
128#2672C2214yes—
129#2672C2214yescomplemented
130#2671C2214yes—
131#2671C2214yes—
132#2637C2212yescomplemented
133#2636C2212yes—
134#2630C2212yes—
135#2630C2212yescomplemented
136#2630C2214yescomplemented
137#2629C2211yescharacteristic
138#2629C2212yes—
139#2629C2211yescharacteristic, complemented
140#2628C2212yes—
141#2628C2212yes—
142#2628C2212yescomplemented
143#2625C2211yescharacteristic, complemented
144#2625C2212yescomplemented
145#2624C2211yescharacteristic, complemented
146#2624C2212yescomplemented
147#2621C2214yescomplemented
148#2620C2211yescharacteristic
149#2620C2211yescharacteristic, complemented
150#2616C2211yescharacteristic
151#2615C2211yescharacteristic
152#2601C2214yescomplemented
153#2584C2212yescomplemented
154#2582C2212yescomplemented
155#2582C2211yescharacteristic, complemented
156#2580C2212yescomplemented
157#2568C2212yescomplemented
158#2567C2212yescomplemented
159#2567C2212yescomplemented
160#2563C2212yes—
161#2562C2212yescomplemented
162#2560C2214yescomplemented
163#2554C2214yes—
164#2553C2214yescomplemented
165#2552C2214yescomplemented
166#2549C2214yescomplemented
167#2547C2212yes—
168#2547C2211yescharacteristic
169#2547C2211yescharacteristic
170#2547C2212yes—
171#2547C2212yescomplemented
172#2546C2211yescharacteristic, complemented
173#2546C2211yescharacteristic, complemented
174#2546C2212yescomplemented
175#2546C2212yescomplemented
176#2542C2212yes—
177#2542C2212yes—
178#2542C2212yescomplemented
179#2538C2211yescharacteristic
180#2538C2211yescharacteristic, complemented
181#2537C2211yescharacteristic
182#2537C2212yescomplemented
183#2536C2212yescomplemented
184#2492C2212yescomplemented
185#2489C2212yescomplemented
186#2489C2214yescomplemented
187#2487C2212yes—
188#2487C2212yescomplemented
189#2487C2212yescomplemented
190#2486C2212yes—
191#2486C2212yescomplemented
192#2486C2212yescomplemented
193#2486C2214yescomplemented
194#2485C2212yes—
195#2485C2212yescomplemented
196#2485C2212yescomplemented
197#2481C2214yescomplemented
198#2480C2214yes—
199#2479C2214yes—
200#2477C2214yes—
201#2475C2214yescomplemented
202#2474C2214yescomplemented
203#2472C2214yes—
204#2472C2214yes—
205#2470C2214yescomplemented
206#2466C2214yes—
207#2466C2214yescomplemented
208#2464C2214yescomplemented
209#2460C2214yescomplemented
210#2457C2214yes—
211#2455C2214yescomplemented
212#2453C2212yescomplemented
213#2451C2212yescomplemented
214#2449C2214yescomplemented
215#2447C2212yes—
216#2447C2214yescomplemented
217#2446C2212yescomplemented
218#2444C2214yescomplemented
219#2442C2214yescomplemented
220#2441C2214yes—
221#2440C2214yescomplemented
222#2439C2214yes—
223#2438C2214yescomplemented
224#2438C2214yescomplemented
225#2437C2214yes—
226#2437C2214yes—
227#2435C2212yes—
228#2434C2212yescomplemented
229#2432C2212yes—
230#2432C2212yes—
231#2429C2212yes—
232#2429C2212yes—
233#2429C2212yescomplemented
234#2427C2212yes—
235#2427C2212yes—
236#2427C2212yes—
237#2427C2214yescomplemented
238#2425C2214yes—
239#2422C2214yes—
240#2422C2214yes—
241#2418C2214yes—
242#2418C2214yes—
243#2417C2212yes—
244#2417C2212yescomplemented
245#2416C2212yes—
246#2415C2212yes—
247#2415C2212yescomplemented
248#2415C2212yescomplemented
249#2415C2214yescomplemented
250#2414C2212yescomplemented
251#2414C2212yescomplemented
252#2412C2214yes—
253#2409C2212yes—
254#2409C2212yes—
255#2409C2212yescomplemented
256#2407C2212yes—
257#2407C2212yes—
258#2396C2212yescomplemented
259#2392C2212yes—
260#2392C2212yes—
261#2392C2212yescomplemented
262#2376C2214yescomplemented
263#2370C2212yescomplemented
264#2367C2212yes—
265#2367C2212yes—
266#2367C2212yes—
267#2362C2212yescomplemented
268#2360C2212yes—
269#2355C2211yescharacteristic, complemented
270#2354C2211yescharacteristic
271#2354C2212yescomplemented
272#2352C2212yescomplemented
273Q8×C4⋊C4C2211yescharacteristic, complemented
274D4×C4⋊C4C2211yescharacteristic
275Q8×C22⋊C4C2212yescomplemented
276#2339C2212yes—
277#2334C2214yescomplemented
278#2324C2212yes—
279#2324C2212yes—
280#2324C2212yes—
281#2323C2212yes—
282#2323C2212yescomplemented
283#2323C2212yescomplemented
284#2317C2212yescomplemented
285#2317C2212yescomplemented
286#2317C2212yescomplemented
287#2316C2212yescomplemented
288#2314C2212yescomplemented
289#2311C2212yes—
290#2310C2212yescomplemented
291C4×C22⋊Q8C2211yescharacteristic
292C4×C22⋊Q8C2212yescomplemented
293C4×C22⋊Q8C2211yescharacteristic, complemented
294C4×#121C2211yescharacteristic
295C4×#121C2212yescomplemented
296C4×#121C2211yescharacteristic, complemented
297#2285C2211yescharacteristic, complemented
298#2285C2211yescharacteristic, complemented
299#2280C2212yes—
300C2×#380C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C23×Q8C2312yes—
306C23×Q8C2312yes—
307C23×D4C2311yescharacteristic
308C24×C4C2312yes—
309#563—232no—
310#557—28no—
311#556—28no—
312#556—28no—
313#555—28no—
314#554—28no—
315#554—216no—
316#553—216no—
317#553—216no—
318#552—216no—
319#552—28no—
320#552—28no—
321#551—216no—
322#551—216no—
323D4×Q8—216no—
324D4×Q8—28no—
325#548—216no—
326#548—48no—
327#547—28no—
328#547—28no—
329#546—28no—
330#546—28no—
331#546—48no—
332#544—216no—
333#542—216no—
334#541—216no—
335#539—232no—
336#536—216no—
337#536—48no—
338#533—28no—
339C2×C4⋊Q8—28no—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2312yes—
352#529—216no—
353#529—28no—
354#529—216no—
355#529—28no—
356#529D4116yescomplemented
357C2×#126C2314yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2314yes—
365C2×#126C2314yes—
366C2×#126C2312yes—
367C2×#125C2312yes—
368C2×#125C2311yescharacteristic
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2311yescharacteristic
372C2×#125C2312yes—
373C2×#125C2314yes—
374C2×#125C2314yes—
375C2×#125C2314yes—
376C2×#125C2311yescharacteristic
377C2×#124C2311yescharacteristic
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2311yescharacteristic
382C2×#124C2312yes—
383C2×#124C2314yes—
384C2×#124C2312yes—
385C2×#124C2314yes—
386C2×#124C2311yescharacteristic
387#525—216no—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×#123C2314yes—
402C2×#123C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2314yes—
421C2×C22⋊Q8C2314yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2314yes—
428C2×C22⋊Q8C2314yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2314yes—
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2311yescharacteristic
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2311yescharacteristic
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2314yes—
443C2×#121C2312yes—
444C2×#121C2311yescharacteristic
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#121C2311yescharacteristic
448C2×#120C2312yes—
449C2×#120C2312yes—
450C2×#120C2314yes—
451C4×#41—28no—
452C4×#41—28no—
453C4×#41—28no—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×D4—28no—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2314yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×#117—216no—
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2311yescharacteristic
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2311yescharacteristic
505C2×#117C2311yescharacteristic
506C2×#117C2311yescharacteristic
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2312yes—
512C2×#117C2312yes—
513C2×#117C2312yes—
514C2×#117C2312yes—
515C2×#117C2312yes—
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2312yes—
518C22×C4⋊C4C2311yescharacteristic
519C22×C4⋊C4C2312yes—
520C22×C4⋊C4C2312yes—
521C22×C4⋊C4C2312yes—
522C22×C4⋊C4C2312yes—
523C22×C22⋊C4C2312yes—
524C22×C22⋊C4C2312yes—
525C22×C22⋊C4C2312yes—
526C22×C22⋊C4C2314yes—
527C22×C42C2312yes—
528C22×C42C2312yes—
529C22×C42C2311yescharacteristic
530C22×C42C2311yescharacteristic
531C22×C42C2311yescharacteristic
532#400C2314yes—
533#400C2314yes—
534#400C2314yes—
535#400C2312yes—
536#400C2314yes—
537#400C2314yes—
538#400C2314yes—
539#399C2314yes—
540#399C2312yes—
541#399C2314yes—
542#399C2314yes—
543#399C2314yes—
544#399C2314yes—
545#399C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2312yes—
556#398C2314yes—
557#398C2312yes—
558#398C2312yes—
559#398C2314yes—
560#398C2312yes—
561#398C2312yes—
562#398C2314yes—
563#398C2314yes—
564#398C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#397C2314yes—
569#397C2312yes—
570#397C2314yes—
571#397C2312yes—
572#397C2312yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#397C2314yes—
577#397C2314yes—
578#397C2314yes—
579#397C2314yes—
580#397C2314yes—
581#397C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2314yes—
591#396C2314yes—
592#396C2312yes—
593#396C2312yes—
594#396C2314yes—
595#396C2314yes—
596#395C2314yes—
597#395C2314yes—
598#395C2314yes—
599#395C2314yes—
600#395C2314yes—
601#395C2312yes—
602#395C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#393C2312yes—
627#393C2314yes—
628#393C2314yes—
629#393C2314yes—
630#393C2314yes—
631#392C2312yes—
632#392C2312yes—
633#392C2312yes—
634#392C2314yes—
635#392C2314yes—
636#391C2314yes—
637#391C2312yes—
638#391C2312yes—
639#391C2314yes—
640#391C2314yes—
641#391C2312yes—
642#391C2312yes—
643#391C2314yes—
644#391C2312yes—
645#391C2312yes—
646#391C2312yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#391C2311yescharacteristic
652#391C2314yes—
653#391C2314yes—
654#391C2314yes—
655#391C2311yescharacteristic
656#390C2314yes—
657#390C2314yes—
658#390C2312yes—
659#390C2312yes—
660#390C2314yes—
661#390C2312yes—
662#390C2314yes—
663#390C2311yescharacteristic
664#390C2311yescharacteristic
665#390C2314yes—
666#389C2311yescharacteristic
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2311yescharacteristic
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2314yes—
679#389C2314yes—
680#389C2312yes—
681#389C2311yescharacteristic
682#389C2314yes—
683#389C2312yes—
684#389C2312yes—
685#389C2314yes—
686#389C2312yes—
687#389C2314yes—
688#389C2314yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2312yes—
693#389C2314yes—
694#389C2311yescharacteristic
695#389C2314yes—
696#389C2314yes—
697#389C2314yes—
698#389C2314yes—
699#389C2314yes—
700#389C2314yes—
701#389C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2312yes—
723#388C2312yes—
724#388C2314yes—
725#388C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2312yes—
738#387C2312yes—
739#387C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2312yes—
751#386C2312yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2312yes—
773#385C2312yes—
774#385C2314yes—
775#385C2314yes—
776#384C2314yes—
777#384C2314yes—
778#384C2311yescharacteristic
779#384C2311yescharacteristic
780#384C2312yes—
781#384C2314yes—
782#384C2311yescharacteristic
783#384C2311yescharacteristic
784#382C2314yes—
785#382C2312yes—
786#382C2312yes—
787#382C2314yes—
788#382C2312yes—
789#381C2314yes—
790#381C2314yes—
791#381C2314yes—
792#381C2314yes—
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2314yes—
807#380C2314yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2314yes—
815#380C2312yes—
816#380C2314yes—
817#380C2314yes—
818#380C2314yes—
819#380C2311yescharacteristic
820#380C2311yescharacteristic
821#380C2311yescharacteristic
822#380C2311yescharacteristic
823#380C2311yescharacteristic
824#380C2312yes—
825#380C2312yes—
826#380C2314yes—
827#380C2314yes—
828#380C2314yes—
829#379C2314yes—
830#379C2314yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2314yes—
841C4×C4⋊C4C2312yes—
842C4×C4⋊C4C2312yes—
843C4×C4⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2314yes—
851C4×C22⋊C4C2312yes—
852C4×C22⋊C4C2314yes—
853C2×#95C2314yes—
854C25C2412yes—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—42no—
863C2×#41—42no—
864C2×#41—42no—
865C2×#41—44no—
866C2×#41—44no—
867C22×Q8—28no—
868C22×Q8—28no—
869C22×Q8—44no—
870C22×Q8—44no—
871C22×Q8—44no—
872C22×Q8—44no—
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2412yes—
876C22×Q8C2412yes—
877C22×Q8C2411yescharacteristic
878C22×Q8C2411yescharacteristic
879C22×Q8C2412yes—
880C22×Q8C2414yes—
881C22×Q8C2414yes—
882C22×D4—24no—
883C22×D4—24no—
884C22×D4—42no—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2411yescharacteristic
893C22×D4C2411yescharacteristic
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C23×C4—28no—
902C23×C4—28no—
903C23×C4—44no—
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2414yes—
923C23×C4C2411yescharacteristic
924C23×C4C2414yes—
925C23×C4C2414yes—
926C23×C4C2411yescharacteristic
927C4⋊Q8—24no—
928C4⋊Q8—28no—
929C4⋊Q8—24no—
930C4⋊Q8—216no—
931C4⋊Q8—28no—
932C4⋊Q8—28no—
933C4⋊Q8—24no—
934C4⋊Q8—24no—
935C4⋊Q8—28no—
936C4⋊Q8—28no—
937C4⋊Q8—44no—
938C4⋊Q8—44no—
939#126—28no—
940#126—216no—
941#126—216no—
942#126—28no—
943#126—28no—
944#126—28no—
945#126—28no—
946#126—216no—
947#126—28no—
948#126C2×D4116yes—
949#125—28no—
950#125—28no—
951#125—24no—
952#125—28no—
953#125—216no—
954#125—216no—
955#125—216no—
956#125—24no—
957#125—28no—
958#125C2×D418yes—
959#124—24no—
960#124—28no—
961#124—28no—
962#124—28no—
963#124—28no—
964#124—28no—
965#124—216no—
966#124—24no—
967#124—48no—
968#124C2×D418yes—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—216no—
978#123—216no—
979#123—216no—
980#123—48no—
981#123—48no—
982#123—48no—
983#123C2×D4116yes—
984C22⋊Q8—24no—
985C22⋊Q8—24no—
986C22⋊Q8—28no—
987C22⋊Q8—24no—
988C22⋊Q8—28no—
989C22⋊Q8—24no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—24no—
993C22⋊Q8—28no—
994C22⋊Q8—216no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—216no—
998C22⋊Q8—28no—
999C22⋊Q8—216no—
1000C22⋊Q8—216no—
1001C22⋊Q8—216no—
1002C22⋊Q8—216no—
1003C22⋊Q8—48no—
1004C22⋊Q8—48no—
1005C22⋊Q8—48no—
1006C22⋊Q8—42no—
1007C22⋊Q8—44no—
1008C22⋊Q8—44no—
1009C22⋊Q8—44no—
1010C22⋊Q8—44no—
1011C22⋊Q8—44no—
1012C22⋊Q8—44no—
1013C22⋊Q8C2×D418yes—
1014#121—28no—
1015#121—28no—
1016#121—24no—
1017#121—216no—
1018#121—28no—
1019#121—24no—
1020#121—28no—
1021#121—24no—
1022#121—28no—
1023#121—28no—
1024#121—48no—
1025#121—48no—
1026#121—44no—
1027#121—42no—
1028#121C2×D418yes—
1029#120—28no—
1030#120—28no—
1031#120—48no—
1032C4×Q8—24no—
1033C4×Q8—28no—
1034C4×Q8—28no—
1035C4×Q8—24no—
1036C4×Q8—24no—
1037C4×Q8—24no—
1038C4×Q8—24no—
1039C4×Q8—28no—
1040C4×Q8—24no—
1041C4×Q8—28no—
1042C4×Q8—44no—
1043C4×Q8C2×D418yes—
1044C4×D4—24no—
1045C4×D4—216no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—24no—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—24no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—24no—
1056C4×D4—24no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—216no—
1060C4×D4—24no—
1061C4×D4—28no—
1062C4×D4—24no—
1063C4×D4—24no—
1064C4×D4—24no—
1065C4×D4—24no—
1066C4×D4—28no—
1067C4×D4—44no—
1068C4×D4—44no—
1069C4×D4—44no—
1070C4×D4—48no—
1071C4×D4C2×D418yes—
1072C4×D4C2×D4116yes—
1073#117—28no—
1074#117—24no—
1075#117—24no—
1076#117—28no—
1077#117—28no—
1078#117—28no—
1079#117—28no—
1080#117—24no—
1081#117—28no—
1082#117—28no—
1083#117—24no—
1084#117—28no—
1085#117—24no—
1086#117—28no—
1087#117—28no—
1088#117—44no—
1089#117—44no—
1090#117—44no—
1091#117C2×D4116yes—
1092C2×C4⋊C4—28no—
1093C2×C4⋊C4—28no—
1094C2×C4⋊C4—28no—
1095C2×C4⋊C4—28no—
1096C2×C4⋊C4—28no—
1097C2×C4⋊C4—24no—
1098C2×C4⋊C4—44no—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2411yescharacteristic
1174C2×C4⋊C4C2411yescharacteristic
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2412yes—
1177C2×C22⋊C4—28no—
1178C2×C22⋊C4—28no—
1179C2×C22⋊C4—28no—
1180C2×C22⋊C4—48no—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2411yescharacteristic
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2411yescharacteristic
1199C2×C22⋊C4C2411yescharacteristic
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C42—28no—
1247C2×C42—28no—
1248C2×C42—24no—
1249C2×C42—24no—
1250C2×C42C2×D418yes—
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2411yescharacteristic
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2412yes—
1262C2×C42C2414yes—
1263C2×C42C2411yescharacteristic
1264C2×C42C2411yescharacteristic
1265C2×C42C2411yescharacteristic
1266C2×C42C2414yes—
1267C2×C42C2414yes—
1268C2×C42C2414yes—
1269C2×C42C2414yes—
1270C2×C42C2414yes—
1271C2×C42C2411yescharacteristic
1272C2×C42C2412yes—
1273C2×C42C2411yescharacteristic
1274C2×C42C2411yescharacteristic
1275C2×C42C2411yescharacteristic
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2414yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2412yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322C24—24no—
1323C24—24no—
1324C24—24no—
1325C24—42no—
1326C24—42no—
1327C24—42no—
1328C24—42no—
1329C24C2512yes—
1330C24C2511yescharacteristic
1331C24C2512yes—
1332C24C2511yescharacteristic
1333C24C2512yes—
1334C24C2511yescharacteristic
1335#41—416no—
1336#41—416no—
1337#41—416no—
1338#41—816no—
1339C2×Q8—22no—
1340C2×Q8—22no—
1341C2×Q8—22no—
1342C2×Q8—24no—
1343C2×Q8—24no—
1344C2×Q8—24no—
1345C2×Q8—28no—
1346C2×Q8—28no—
1347C2×Q8—22no—
1348C2×Q8—24no—
1349C2×Q8—24no—
1350C2×Q8—22no—
1351C2×Q8—22no—
1352C2×Q8—22no—
1353C2×Q8—22no—
1354C2×Q8—22no—
1355C2×Q8—22no—
1356C2×Q8—24no—
1357C2×Q8—24no—
1358C2×Q8—41no—
1359C2×Q8—44no—
1360C2×Q8—44no—
1361C2×Q8—44no—
1362C2×Q8—44no—
1363C2×Q8—42no—
1364C2×Q8—42no—
1365C2×Q8—816no—
1366C2×Q8—816no—
1367C2×Q8C22×D414yes—
1368C2×D4—24no—
1369C2×D4—22no—
1370C2×D4—24no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—28no—
1380C2×D4—28no—
1381C2×D4—24no—
1382C2×D4—22no—
1383C2×D4—22no—
1384C2×D4—22no—
1385C2×D4—24no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—42no—
1400C2×D4—41no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—44no—
1405C2×D4—42no—
1406C2×D4—44no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—44no—
1411C2×D4—42no—
1412C2×D4—44no—
1413C2×D4—416no—
1414C2×D4C22×D414yes—
1415C2×D4C22×D418yes—
1416C2×D4H(5,𝔽2)14yes—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—28no—
1430C22×C4—28no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—24no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—24no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—22no—
1456C22×C4—28no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—41no—
1461C22×C4—41no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—432no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—42no—
1469C22×C4—41no—
1470C22×C4—42no—
1471C22×C4—41no—
1472C22×C4—41no—
1473C22×C4—42no—
1474C22×C4—41no—
1475C22×C4—42no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4C22×D414yes—
1483C22×C4C22×D414yes—
1484C22×C4C22×D418yes—
1485C22×C4C22×D414yes—
1486C22×C42−1+414yes—
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2511yescharacteristic
1490C22×C4C2512yes—
1491C22×C4C2514yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2514yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2512yes—
1500C22×C4C2514yes—
1501C22×C4C2514yes—
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2512yes—
1505C22×C4C2511yescharacteristic
1506C22×C4C2511yescharacteristic
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2511yescharacteristic
1510C22×C4C2511yescharacteristic
1511C22×C4C2511yescharacteristic
1512C22×C4C2512yes—
1513C22×C4C2511yescharacteristic
1514C22×C4C2511yescharacteristic
1515C22×C4C2511yescharacteristic
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—24no—
1520C4⋊C4—22no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—28no—
1528C4⋊C4—24no—
1529C4⋊C4—28no—
1530C4⋊C4—28no—
1531C4⋊C4—24no—
1532C4⋊C4—22no—
1533C4⋊C4—22no—
1534C4⋊C4—22no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—22no—
1540C4⋊C4—22no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—28no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—28no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—28no—
1550C4⋊C4—28no—
1551C4⋊C4—28no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—22no—
1556C4⋊C4—22no—
1557C4⋊C4—24no—
1558C4⋊C4—22no—
1559C4⋊C4—24no—
1560C4⋊C4—22no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—44no—
1564C4⋊C4—42no—
1565C4⋊C4—42no—
1566C4⋊C4—42no—
1567C4⋊C4—42no—
1568C4⋊C4—44no—
1569C4⋊C4—42no—
1570C4⋊C4—42no—
1571C4⋊C4—44no—
1572C4⋊C4—42no—
1573C4⋊C4—42no—
1574C4⋊C4—42no—
1575C4⋊C4—44no—
1576C4⋊C4—42no—
1577C4⋊C4—44no—
1578C4⋊C4—44no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4—42no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4C22×D418yes—
1589C4⋊C4C22×D418yes—
1590C4⋊C4C22×D414yes—
1591C4⋊C4C22×D414yes—
1592C4⋊C4C22×D418yes—
1593C4⋊C4C22×D418yes—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—22no—
1598C22⋊C4—24no—
1599C22⋊C4—22no—
1600C22⋊C4—28no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—28no—
1604C22⋊C4—28no—
1605C22⋊C4—28no—
1606C22⋊C4—28no—
1607C22⋊C4—28no—
1608C22⋊C4—28no—
1609C22⋊C4—24no—
1610C22⋊C4—22no—
1611C22⋊C4—22no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—22no—
1619C22⋊C4—24no—
1620C22⋊C4—22no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—28no—
1624C22⋊C4—28no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—42no—
1630C22⋊C4—44no—
1631C22⋊C4—42no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—42no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—42no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4—44no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—42no—
1654C22⋊C4C22×D418yes—
1655C22⋊C4C22×D418yes—
1656C22⋊C4C22×D418yes—
1657C22⋊C4C22×D418yes—
1658C22⋊C4C22×D418yes—
1659C42—22no—
1660C42—24no—
1661C42—24no—
1662C42—22no—
1663C42—24no—
1664C42—24no—
1665C42—24no—
1666C42—22no—
1667C42—22no—
1668C42—22no—
1669C42—22no—
1670C42—24no—
1671C42—28no—
1672C42—28no—
1673C42—24no—
1674C42—24no—
1675C42—44no—
1676C42—44no—
1677C42—44no—
1678C42—44no—
1679C42C22×D414yes—
1680C42C22×D414yes—
1681C42C22×D418yes—
1682C42C22×D414yes—
1683C42C22×D414yes—
1684C23—21no—
1685C23—22no—
1686C23—21no—
1687C23—21no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—22no—
1695C23—22no—
1696C23—21no—
1697C23—21no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—21no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—21no—
1706C23—21no—
1707C23—21no—
1708C23—22no—
1709C23—21no—
1710C23—21no—
1711C23—22no—
1712C23—22no—
1713C23—21no—
1714C23—21no—
1715C23—22no—
1716C23—22no—
1717C23—21no—
1718C23—22no—
1719C23—21no—
1720C23—22no—
1721C23—21no—
1722C23—48no—
1723C23—48no—
1724C23—48no—
1725C23—84no—
1726C23—84no—
1727C23—84no—
1728C23—84no—
1729C23C23×D414yes—
1730C23C23×D412yes—
1731C23C2×H(5,𝔽2)14yes—
1732C23C2×2−1+412yes—
1733C23C2611yescharacteristic
1734Q8—28no—
1735Q8—44no—
1736Q8—48no—
1737Q8—48no—
1738Q8—44no—
1739Q8—44no—
1740Q8—84no—
1741Q8—88no—
1742Q8—88no—
1743D4—28no—
1744D4—28no—
1745D4—48no—
1746D4—48no—
1747D4—44no—
1748D4—44no—
1749D4—48no—
1750D4—48no—
1751D4—44no—
1752D4—48no—
1753D4—44no—
1754D4—84no—
1755D4—84no—
1756D4—88no—
1757D4—88no—
1758D4—84no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—28no—
1776C2×C4—28no—
1777C2×C4—216no—
1778C2×C4—28no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—24no—
1790C2×C4—24no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—24no—
1797C2×C4—22no—
1798C2×C4—24no—
1799C2×C4—24no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—24no—
1809C2×C4—22no—
1810C2×C4—24no—
1811C2×C4—24no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—24no—
1818C2×C4—24no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—24no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—21no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—24no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—21no—
1836C2×C4—44no—
1837C2×C4—48no—
1838C2×C4—48no—
1839C2×C4—48no—
1840C2×C4—48no—
1841C2×C4—48no—
1842C2×C4—44no—
1843C2×C4—48no—
1844C2×C4—44no—
1845C2×C4—48no—
1846C2×C4—44no—
1847C2×C4—82no—
1848C2×C4—84no—
1849C2×C4—82no—
1850C2×C4—84no—
1851C2×C4—88no—
1852C2×C4—88no—
1853C2×C4—88no—
1854C2×C4—164no—
1855C2×C4C23×D414yes—
1856C2×C4C23×D412yes—
1857C2×C4C23×D412yes—
1858C2×C4C23×D412yes—
1859C2×C4C23×D414yes—
1860C2×C4C23×D414yes—
1861C2×C4C23×D412yes—
1862C2×C4C23×D412yes—
1863C2×C4C23×D412yes—
1864C2×C4C2×H(5,𝔽2)12yes—
1865C2×C4C2×2−1+412yes—
1866C2×C4C2×2−1+412yes—
1867C2×C4#58512yes—
1868C2×C4#58512yes—
1869C22—22no—
1870C22—24no—
1871C22—24no—
1872C22—22no—
1873C22—24no—
1874C22—22no—
1875C22—22no—
1876C22—24no—
1877C22—22no—
1878C22—24no—
1879C22—24no—
1880C22—22no—
1881C22—41no—
1882C22—42no—
1883C22—42no—
1884C22—41no—
1885C22—41no—
1886C22—42no—
1887C22—42no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—42no—
1892C22—42no—
1893C22—41no—
1894C22—42no—
1895C22—42no—
1896C22—41no—
1897C22—42no—
1898C22—41no—
1899C22—41no—
1900C22—42no—
1901C22—41no—
1902C22—42no—
1903C22—42no—
1904C22—41no—
1905C22—42no—
1906C22—41no—
1907C22—42no—
1908C22—41no—
1909C22—41no—
1910C22—42no—
1911C22—816no—
1912C22C24×D411yescharacteristic
1913C22C22×H(5,𝔽2)11yescharacteristic
1914C22C22×2−1+411yescharacteristic
1915C22C2×#58511yescharacteristic
1916C22C2×#58511yescharacteristic
1917C222−1+611yescharacteristic
1918C222−1+611yescharacteristic
1919C4—22no—
1920C4—24no—
1921C4—22no—
1922C4—24no—
1923C4—22no—
1924C4—22no—
1925C4—22no—
1926C4—24no—
1927C4—41no—
1928C4—42no—
1929C4—41no—
1930C4—42no—
1931C4—44no—
1932C4—44no—
1933C4—42no—
1934C4—41no—
1935C4—42no—
1936C4—41no—
1937C4—42no—
1938C4—41no—
1939C4—42no—
1940C4—42no—
1941C4—42no—
1942C4—42no—
1943C4—44no—
1944C4—42no—
1945C4—44no—
1946C4#348814yes—
1947C4#348914yes—
1948C2—42no—
1949C2—44no—
1950C2—44no—
1951C2—42no—
1952C2—82no—
1953C2—81no—
1954C2C2×#348811yescharacteristic
1955C2C2×#348911yescharacteristic
1956C2#6285911yescharacteristic
1957C2#6291511yescharacteristic
1958C2#6292111yescharacteristic
1959C2#6295911yescharacteristic
1960C2#6296711yescharacteristic
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×#3552C2semidirect
2. C2×#3475C2semidirect
3. #50890C2semidirect
4. #50889C2semidirect
5. #50858C2semidirect
6. #50636C2semidirect
7. #45416C2semidirect
8. #45385C2semidirect
9. #45332C2semidirect
10. #45217C2semidirect
11. #45195C2semidirect
12. #45144C2semidirect
13. #45134C2semidirect
14. #45134C2semidirect
15. #39599C2semidirect
16. #39596C2semidirect
17. #38923C2semidirect
18. #38921C2semidirect
19. #38920C2semidirect
20. #38914C2semidirect
21. #37846C2semidirect
22. #37838C2semidirect
23. #37281C2semidirect
24. #37280C2semidirect
25. #36505C2semidirect
26. #36444C2semidirect
27. #36161C2semidirect
28. #36153C2semidirect
29. #35316C2semidirect
30. #35279C2semidirect
31. #35260C2semidirect
32. #35253C2semidirect
33. #35189C2semidirect
34. #34614C2semidirect
35. #34383C2semidirect
37. C2×#563C22semidirect
38. C2×#557C22semidirect
44. C2×#554C22semidirect
46. C2×#553C22semidirect
52. C2×D4×Q8C22semidirect
53. C2×D4×Q8C22semidirect
61. C2×#544C22semidirect
62. C2×#542C22semidirect
63. C2×#541C22semidirect
64. C2×#539C22semidirect
68. C22×C4⋊Q8C22semidirect
73. C2×#529C22semidirect
82. #2857C22semidirect
83. #2857C22semidirect
84. #2857C22semidirect
85. #2857C22semidirect
86. #2857C22semidirect
87. #2851C22semidirect
88. #2851C22semidirect
89. #2850C22semidirect
92. #2727C22semidirect
93. #2726C22semidirect
94. #2723C22semidirect
95. #2722C22semidirect
96. #2721C22semidirect
97. #2721C22semidirect
98. #2720C22semidirect
99. #2718C22semidirect
100. #2713C22semidirect
101. #2712C22semidirect
102. #2706C22semidirect
104. #2704C22semidirect
105. #2702C22semidirect
106. #2700C22semidirect
107. #2699C22semidirect
108. #2698C22semidirect
109. #2698C22semidirect
110. #2695C22semidirect
111. #2695C22semidirect
114. #2690C22semidirect
115. #2690C22semidirect
116. #2689C22semidirect
118. #2687C22semidirect
119. #2686C22semidirect
120. #2681C22semidirect
123. #2680C22semidirect
126. #2674C22semidirect
129. #2672C22semidirect
132. #2637C22semidirect
135. #2630C22semidirect
136. #2630C22semidirect
139. #2629C22semidirect
142. #2628C22semidirect
143. #2625C22semidirect
144. #2625C22semidirect
145. #2624C22semidirect
146. #2624C22semidirect
147. #2621C22semidirect
149. #2620C22semidirect
152. #2601C22semidirect
153. #2584C22semidirect
154. #2582C22semidirect
155. #2582C22semidirect
156. #2580C22semidirect
157. #2568C22semidirect
158. #2567C22semidirect
159. #2567C22semidirect
161. #2562C22semidirect
162. #2560C22semidirect
164. #2553C22semidirect
165. #2552C22semidirect
166. #2549C22semidirect
171. #2547C22semidirect
172. #2546C22semidirect
173. #2546C22semidirect
174. #2546C22semidirect
175. #2546C22semidirect
178. #2542C22semidirect
180. #2538C22semidirect
182. #2537C22semidirect
183. #2536C22semidirect
184. #2492C22semidirect
185. #2489C22semidirect
186. #2489C22semidirect
188. #2487C22semidirect
189. #2487C22semidirect
191. #2486C22semidirect
192. #2486C22semidirect
193. #2486C22semidirect
195. #2485C22semidirect
196. #2485C22semidirect
197. #2481C22semidirect
201. #2475C22semidirect
202. #2474C22semidirect
205. #2470C22semidirect
207. #2466C22semidirect
208. #2464C22semidirect
209. #2460C22semidirect
211. #2455C22semidirect
212. #2453C22semidirect
213. #2451C22semidirect
214. #2449C22semidirect
216. #2447C22semidirect
217. #2446C22semidirect
218. #2444C22semidirect
219. #2442C22semidirect
221. #2440C22semidirect
223. #2438C22semidirect
224. #2438C22semidirect
228. #2434C22semidirect
233. #2429C22semidirect
237. #2427C22semidirect
244. #2417C22semidirect
247. #2415C22semidirect
248. #2415C22semidirect
249. #2415C22semidirect
250. #2414C22semidirect
251. #2414C22semidirect
255. #2409C22semidirect
258. #2396C22semidirect
261. #2392C22semidirect
262. #2376C22semidirect
263. #2370C22semidirect
267. #2362C22semidirect
269. #2355C22semidirect
271. #2354C22semidirect
272. #2352C22semidirect
273. Q8×C4⋊C4C22semidirect
275. Q8×C22⋊C4C22semidirect
277. #2334C22semidirect
282. #2323C22semidirect
283. #2323C22semidirect
284. #2317C22semidirect
285. #2317C22semidirect
286. #2317C22semidirect
287. #2316C22semidirect
288. #2314C22semidirect
290. #2310C22semidirect
292. C4×C22⋊Q8C22semidirect
293. C4×C22⋊Q8C22semidirect
295. C4×#121C22semidirect
296. C4×#121C22semidirect
297. #2285C22semidirect
298. #2285C22semidirect
356. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35522
C2×#34752
#508902
#508892
#508582
#506362
#454162
#453852
#453322
#452172
#451952
#451442
#451342
#395992
#395962
#389232
#389212
#389202
#389142
#378462
#378382
#372812
#372802
#365052
#364442
#361612
#361532
#353162
#352792
#352602
#352532
#351892
#346142
#343832