Finite Group Databasebeta

← #7653302

Subgroups — #7653302

Order 512.

7454 conjugacy classes of subgroups.

The subgroup lattice has 1973 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3513C211yesmaximal, characteristic, complemented
2C22×#559C211yesmaximal, characteristic, complemented
3#42444C212yesmaximal, complemented
4#42441C212yesmaximal, complemented
5#40535C214yesmaximal, complemented
6#40530C214yesmaximal, complemented
7#39953C212yesmaximal, complemented
8#39949C212yesmaximal, complemented
9#39943C214yesmaximal, complemented
10#39941C214yesmaximal, complemented
11#39464C211yesmaximal, characteristic, complemented
12#39336C211yesmaximal, characteristic, complemented
13#38918C211yesmaximal, characteristic, complemented
14#38906C211yesmaximal, characteristic, complemented
15#38044C212yesmaximal, complemented
16#38028C212yesmaximal, complemented
17#37842C212yesmaximal, complemented
18#37654C212yesmaximal, complemented
19#37546C211yesmaximal, characteristic, complemented
20#37443C212yesmaximal, complemented
21#36471C212yesmaximal, complemented
22#36469C212yesmaximal, complemented
23#36423C211yesmaximal, characteristic, complemented
24#36422C211yesmaximal, characteristic, complemented
25#36162C211yesmaximal, characteristic, complemented
26#36102C211yesmaximal, characteristic, complemented
27#35808C212yesmaximal, complemented
28#35778C212yesmaximal, complemented
29#35247C211yesmaximal, characteristic, complemented
30#35131C211yesmaximal, characteristic, complemented
31#35089C212yesmaximal, complemented
32#35062C212yesmaximal, complemented
33#34972C211yesmaximal, characteristic, complemented
34#34737C212yesmaximal, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36#3513—216no—
37C2×#559—216no—
38C2×#559C2212yes—
39C2×#559C2212yes—
40C2×#559C2214yescomplemented
41C2×#559C2211yescharacteristic, complemented
42C2×#559C2214yescomplemented
43C2×#559C2212yescomplemented
44C2×#559C2212yescomplemented
45C2×#554C2211yescharacteristic, complemented
46C2×#553C2212yescomplemented
47C2×#553C2211yescharacteristic, complemented
48C2×#552C2211yescharacteristic
49C2×#551C2212yes—
50C2×#551C2212yescomplemented
51C2×#547C2211yescharacteristic
52C2×#546C2211yescharacteristic
53C2×#546C2212yes—
54C2×#546C2211yescharacteristic, complemented
55C2×D42C2211yescharacteristic
56C2×#542C2211yescharacteristic, complemented
57C2×#540C2211yescharacteristic, complemented
58C2×#539C2212yescomplemented
59C2×#538C2212yescomplemented
60C2×#534C2212yes—
61C22×#127C2211yescharacteristic
62C2×#529C2211yescharacteristic
63C2×#529C2211yescharacteristic
64C22×#124C2211yescharacteristic
65C22×#124C2211yescharacteristic, complemented
66C22×#124C2212yescomplemented
67C2×#525C2212yes—
68C2×#525C2212yescomplemented
69C22×#123C2212yes—
70C22×#123C2212yescomplemented
71C22×#123C2212yescomplemented
72C2×#520C2211yescharacteristic, complemented
73C2×#518C2211yescharacteristic, complemented
74C22×C4×Q8C2211yescharacteristic, complemented
75C22×C4×Q8C2211yescharacteristic, complemented
76C22×C4×D4C2211yescharacteristic
77C22×C4×D4C2211yescharacteristic, complemented
78C22×C4×D4C2212yescomplemented
79C22×#117C2212yescomplemented
80#2861C2212yescomplemented
81#2858C2212yescomplemented
82#2855C2211yescharacteristic, complemented
83#2855C2211yescharacteristic, complemented
84#2854C2211yescharacteristic
85#2854C2211yescharacteristic
86#2854C2214yescomplemented
87#2854C2214yescomplemented
88#2853C2212yes—
89#2853C2212yescomplemented
90#2849C2212yes—
91#2849C2212yescomplemented
92#2820C2212yescomplemented
93#2819C2212yescomplemented
94#2814C2214yescomplemented
95#2813C2214yescomplemented
96#2717C2214yescomplemented
97#2715C2214yescomplemented
98#2712C2214yescomplemented
99#2710C2214yescomplemented
100#2709C2214yescomplemented
101#2706C2214yescomplemented
102#2700C2214yescomplemented
103#2695C2214yescomplemented
104#2693C2214yescomplemented
105#2687C2214yescomplemented
106#2686C2214yescomplemented
107#2686C2214yescomplemented
108#2684C2214yescomplemented
109#2680C2214yescomplemented
110#2678C2214yescomplemented
111#2676C2214yescomplemented
112#2674C2214yescomplemented
113#2673C2214yes—
114#2673C2214yescomplemented
115#2672C2214yescomplemented
116#2672C2214yescomplemented
117#2671C2214yescomplemented
118#2670C2214yescomplemented
119#2669C2214yes—
120#2663C2214yescomplemented
121#2662C2212yescomplemented
122#2662C2212yescomplemented
123#2662C2214yescomplemented
124#2661C2214yescomplemented
125#2637C2214yescomplemented
126#2630C2214yescomplemented
127#2630C2214yescomplemented
128#2630C2214yescomplemented
129#2630C2214yescomplemented
130#2626C2212yescomplemented
131#2622C2212yes—
132#2622C2212yescomplemented
133#2620C2212yescomplemented
134#2620C2212yescomplemented
135#2618C2214yescomplemented
136#2618C2214yescomplemented
137#2617C2212yes—
138#2613C2212yes—
139#2613C2212yescomplemented
140#2610C2214yescomplemented
141#2604C2212yescomplemented
142#2604C2212yescomplemented
143#2602C2214yescomplemented
144#2602C2214yescomplemented
145#2602C2214yescomplemented
146#2602C2214yescomplemented
147#2592C2212yescomplemented
148#2592C2212yescomplemented
149#2584C2212yescomplemented
150#2582C2212yescomplemented
151#2579C2214yescomplemented
152#2565C2212yescomplemented
153#2557C2214yescomplemented
154#2557C2214yescomplemented
155#2555C2214yescomplemented
156#2553C2214yescomplemented
157#2547C2212yescomplemented
158#2545C2212yescomplemented
159#2545C2212yescomplemented
160#2544C2212yescomplemented
161#2544C2212yescomplemented
162#2544C2212yescomplemented
163#2541C2212yes—
164#2540C2212yescomplemented
165#2538C2212yescomplemented
166#2534C2214yescomplemented
167#2521C2214yescomplemented
168#2503C2211yescharacteristic, complemented
169#2501C2211yescharacteristic
170#2491C2214yescomplemented
171#2486C2212yescomplemented
172#2484C2212yescomplemented
173#2483C2212yescomplemented
174#2482C2212yescomplemented
175#2474C2214yescomplemented
176#2472C2214yescomplemented
177#2470C2214yescomplemented
178#2469C2214yescomplemented
179#2467C2214yescomplemented
180#2465C2214yescomplemented
181#2464C2214yescomplemented
182#2463C2214yescomplemented
183#2462C2214yescomplemented
184#2461C2214yescomplemented
185#2460C2214yescomplemented
186#2459C2214yescomplemented
187#2458C2214yescomplemented
188#2457C2214yescomplemented
189#2456C2214yescomplemented
190#2455C2214yescomplemented
191#2454C2212yescomplemented
192#2453C2212yescomplemented
193#2452C2212yescomplemented
194#2451C2212yescomplemented
195#2447C2212yescomplemented
196#2447C2212yescomplemented
197#2445C2212yes—
198#2445C2212yes—
199#2436C2211yescharacteristic
200#2436C2211yescharacteristic
201#2435C2212yescomplemented
202#2435C2211yescharacteristic, complemented
203#2434C2211yescharacteristic, complemented
204#2434C2211yescharacteristic, complemented
205#2433C2211yescharacteristic
206#2433C2212yes—
207#2432C2212yescomplemented
208#2431C2212yes—
209#2429C2212yescomplemented
210#2428C2212yes—
211#2428C2212yescomplemented
212#2428C2212yescomplemented
213#2427C2212yescomplemented
214#2427C2212yescomplemented
215#2427C2212yescomplemented
216#2426C2212yescomplemented
217#2422C2214yescomplemented
218#2418C2214yescomplemented
219#2417C2214yescomplemented
220#2416C2214yescomplemented
221#2415C2214yescomplemented
222#2414C2214yescomplemented
223#2413C2211yescharacteristic
224#2413C2212yes—
225#2413C2211yescharacteristic
226#2413C2214yescomplemented
227#2413C2212yescomplemented
228#2413C2212yescomplemented
229#2413C2214yescomplemented
230#2413C2211yescharacteristic, complemented
231#2413C2211yescharacteristic, complemented
232#2413C2212yescomplemented
233#2412C2212yes—
234#2412C2212yescomplemented
235#2411C2212yes—
236#2411C2212yes—
237#2411C2214yescomplemented
238#2411C2212yescomplemented
239#2411C2212yescomplemented
240#2411C2214yescomplemented
241#2411C2212yescomplemented
242#2411C2212yescomplemented
243#2410C2212yes—
244#2410C2212yescomplemented
245#2409C2211yescharacteristic
246#2409C2211yescharacteristic, complemented
247#2409C2212yescomplemented
248#2408C2211yescharacteristic
249#2408C2211yescharacteristic, complemented
250#2406C2212yescomplemented
251#2405C2212yes—
252#2405C2212yescomplemented
253#2404C2212yescomplemented
254#2403C2212yes—
255#2396C2212yescomplemented
256#2396C2212yescomplemented
257#2392C2214yescomplemented
258#2392C2214yescomplemented
259#2367C2212yescomplemented
260#2367C2212yescomplemented
261#2366C2212yescomplemented
262#2365C2212yescomplemented
263#2363C2212yescomplemented
264#2362C2212yescomplemented
265#2361C2212yescomplemented
266#2360C2212yescomplemented
267#2354C2212yescomplemented
268#2352C2214yescomplemented
269D4×C4⋊C4C2212yescomplemented
270#2344C2211yescharacteristic, complemented
271#2344C2211yescharacteristic, complemented
272#2342C2212yescomplemented
273#2342C2212yescomplemented
274D4×C22⋊C4C2211yescharacteristic
275D4×C22⋊C4C2211yescharacteristic
276#2323C2214yescomplemented
277#2322C2214yescomplemented
278#2321C2214yescomplemented
279#2321C2212yescomplemented
280#2321C2212yescomplemented
281#2315C2212yescomplemented
282#2308C2212yes—
283#2308C2212yescomplemented
284C4×C4⋊Q8C2212yescomplemented
285C4×#124C2212yescomplemented
286C4×#123C2211yescharacteristic
287C4×#123C2211yescharacteristic
288C4×#123C2211yescharacteristic, complemented
289C4×#123C2211yescharacteristic, complemented
290C4×#121C2214yescomplemented
291C4×#121C2214yescomplemented
292#2297C2212yescomplemented
293#2296C2212yescomplemented
294#2293C2212yescomplemented
295#2290C2214yescomplemented
296#2285C2211yescharacteristic, complemented
297#2280C2212yescomplemented
298#2280C2212yescomplemented
299C42×D4C2212yescomplemented
300C4×#117C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×Q8C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×D4C2312yes—
306C23×D4C2312yes—
307C23×D4C2312yes—
308C23×D4C2311yescharacteristic
309C23×D4C2311yescharacteristic
310C23×D4C2311yescharacteristic
311C24×C4C2312yes—
312C24×C4C2312yes—
313#559—216no—
314#559—216no—
315#559—232no—
316#559—216no—
317#559—232no—
318#559—216no—
319#559—28no—
320#554—28no—
321#553—216no—
322#553—28no—
323#552—28no—
324#551—216no—
325#551—216no—
326#547—28no—
327#546—28no—
328#546—28no—
329#546—216no—
330D42—28no—
331#542—28no—
332#540—28no—
333#539—216no—
334#538—216no—
335#534—48no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×#127—28no—
340C2×#127C2314yes—
341C2×#127C2312yes—
342C2×#127C2312yes—
343C2×#127C2311yescharacteristic
344C2×#127C2312yes—
345#529—28no—
346#529—28no—
347C2×#126C2311yescharacteristic
348C2×#126C2311yescharacteristic
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#125C2311yescharacteristic
354C2×#125C2311yescharacteristic
355C2×#125C2312yes—
356C2×#125C2311yescharacteristic
357C2×#124—28no—
358C2×#124—216no—
359C2×#124—28no—
360C2×#124C2311yescharacteristic
361C2×#124C2312yes—
362C2×#124C2311yescharacteristic
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2314yes—
371C2×#124C2314yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2311yescharacteristic
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379#525—216no—
380#525—48no—
381C2×#123—216no—
382C2×#123—216no—
383C2×#123—216no—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2314yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2311yescharacteristic
395C2×#123C2312yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×#123C2311yescharacteristic
401C2×#123C2311yescharacteristic
402C2×#123C2311yescharacteristic
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2314yes—
409C2×#123C2311yescharacteristic
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2311yescharacteristic
413C2×#123C2314yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2314yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2314yes—
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2311yescharacteristic
437C2×#121C2314yes—
438C2×#121C2314yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2314yes—
442C2×#121C2314yes—
443C2×#121C2314yes—
444C2×#120C2312yes—
445C2×#120C2312yes—
446C2×#120C2312yes—
447C2×#120C2312yes—
448C2×#120C2312yes—
449C2×#120C2312yes—
450C2×#120C2314yes—
451C2×#120C2312yes—
452C2×#120C2312yes—
453C2×#120C2314yes—
454#520—28no—
455#518—28no—
456C2×C4×Q8—28no—
457C2×C4×Q8—28no—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2314yes—
468C2×C4×D4—216no—
469C2×C4×D4—28no—
470C2×C4×D4D4116yescomplemented
471C2×C4×D4C2312yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2314yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2314yes—
495C2×C4×D4C2314yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2312yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2312yes—
501C2×C4×D4C2311yescharacteristic
502C2×#117—48no—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2311yescharacteristic
506C2×#117C2311yescharacteristic
507C2×#117C2311yescharacteristic
508C2×#117C2311yescharacteristic
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2312yes—
512C2×#117C2314yes—
513C2×#117C2312yes—
514C2×#117C2314yes—
515C2×#117C2311yescharacteristic
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2312yes—
518C22×C4⋊C4C2311yescharacteristic
519C22×C4⋊C4C2311yescharacteristic
520C22×C4⋊C4C2312yes—
521C22×C4⋊C4C2311yescharacteristic
522C22×C4⋊C4C2311yescharacteristic
523C22×C4⋊C4C2314yes—
524C22×C4⋊C4C2311yescharacteristic
525C22×C22⋊C4C2312yes—
526C22×C22⋊C4C2312yes—
527C22×C22⋊C4C2312yes—
528C22×C22⋊C4C2312yes—
529C22×C22⋊C4C2312yes—
530C22×C22⋊C4C2312yes—
531C22×C22⋊C4C2312yes—
532C22×C22⋊C4C2312yes—
533C22×C22⋊C4C2312yes—
534C22×C22⋊C4C2312yes—
535C22×C22⋊C4C2312yes—
536C22×C22⋊C4C2312yes—
537C22×C42C2312yes—
538C22×C42C2311yescharacteristic
539C22×C42C2311yescharacteristic
540C22×C42C2314yes—
541C22×C42C2311yescharacteristic
542#400C2312yes—
543#400C2312yes—
544#400C2314yes—
545#399C2314yes—
546#399C2312yes—
547#399C2312yes—
548#399C2314yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2312yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2312yes—
583#396C2312yes—
584#396C2314yes—
585#396C2312yes—
586#395C2312yes—
587#395C2312yes—
588#395C2314yes—
589#395C2312yes—
590#395C2312yes—
591#395C2314yes—
592#395C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2312yes—
596#394C2312yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#393C2314yes—
622#393C2312yes—
623#393C2312yes—
624#393C2314yes—
625#393C2312yes—
626#393C2312yes—
627#393C2314yes—
628#393C2314yes—
629#392C2314yes—
630#392C2312yes—
631#392C2312yes—
632#392C2314yes—
633#392C2314yes—
634#392C2314yes—
635#392C2314yes—
636#392C2314yes—
637#392C2314yes—
638#392C2314yes—
639#392C2314yes—
640#392C2314yes—
641#392C2314yes—
642#391C2312yes—
643#391C2312yes—
644#391C2312yes—
645#391C2314yes—
646#391C2312yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2314yes—
653#390C2314yes—
654#390C2314yes—
655#390C2314yes—
656#390C2314yes—
657#390C2312yes—
658#390C2312yes—
659#390C2312yes—
660#390C2312yes—
661#390C2312yes—
662#390C2312yes—
663#390C2314yes—
664#390C2314yes—
665#390C2314yes—
666#390C2314yes—
667#390C2312yes—
668#390C2312yes—
669#390C2314yes—
670#390C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2314yes—
676#389C2314yes—
677#389C2314yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2314yes—
683#389C2314yes—
684#389C2312yes—
685#389C2312yes—
686#389C2314yes—
687#389C2314yes—
688#388C2312yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2312yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2312yes—
715#388C2314yes—
716#388C2314yes—
717#388C2312yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2312yes—
722#387C2312yes—
723#387C2312yes—
724#387C2312yes—
725#387C2312yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#386C2311yescharacteristic
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2312yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2311yescharacteristic
758#386C2312yes—
759#386C2314yes—
760#386C2314yes—
761#386C2312yes—
762#386C2311yescharacteristic
763#386C2314yes—
764#386C2311yescharacteristic
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#385C2311yescharacteristic
769#385C2312yes—
770#385C2312yes—
771#385C2312yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2312yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2312yes—
782#385C2311yescharacteristic
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2311yescharacteristic
788#385C2312yes—
789#385C2311yescharacteristic
790#384C2312yes—
791#384C2312yes—
792#382C2312yes—
793#382C2312yes—
794#381C2314yes—
795#381C2311yescharacteristic
796#381C2312yes—
797#381C2314yes—
798#381C2312yes—
799#381C2312yes—
800#381C2311yescharacteristic
801#381C2312yes—
802#381C2311yescharacteristic
803#381C2311yescharacteristic
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2314yes—
808#380C2311yescharacteristic
809#380C2311yescharacteristic
810#380C2312yes—
811#380C2314yes—
812#380C2314yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#379C2314yes—
817#379C2312yes—
818#379C2312yes—
819#379C2312yes—
820#379C2314yes—
821#379C2312yes—
822#379C2312yes—
823#379C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2314yes—
835C4×C4⋊C4C2314yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2314yes—
851C4×C22⋊C4C2314yes—
852#376C2312yes—
853C43C2312yes—
854C25C2412yes—
855C25C2412yes—
856C25C2412yes—
857C2×#41—24no—
858C2×#41—28no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—44no—
862C22×Q8—24no—
863C22×Q8—24no—
864C22×Q8—44no—
865C22×Q8—44no—
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×D4—28no—
874C22×D4—28no—
875C22×D4—28no—
876C22×D4—24no—
877C22×D4—24no—
878C22×D4—44no—
879C22×D4—48no—
880C22×D4—44no—
881C22×D4—44no—
882C22×D4—44no—
883C22×D4—44no—
884C22×D4—44no—
885C22×D4—44no—
886C22×D4C2×D418yes—
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2411yescharacteristic
895C22×D4C2411yescharacteristic
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2411yescharacteristic
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2412yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2412yes—
912C23×C4—28no—
913C23×C4—44no—
914C23×C4—44no—
915C23×C4—44no—
916C23×C4—44no—
917C23×C4C2×D4116yes—
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2414yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2414yes—
936C23×C4C2414yes—
937C23×C4C2414yes—
938C23×C4C2411yescharacteristic
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2412yes—
942C23×C4C2412yes—
943C4⋊Q8—24no—
944C4⋊Q8—44no—
945C4⋊Q8—44no—
946#127—28no—
947#127—28no—
948#127—216no—
949#127—24no—
950#127—44no—
951#126—28no—
952#126—28no—
953#126—28no—
954#126—28no—
955#126—24no—
956#126—24no—
957#125—28no—
958#125—24no—
959#125—24no—
960#125—24no—
961#124—28no—
962#124—28no—
963#124—216no—
964#124—24no—
965#124—216no—
966#124—216no—
967#124—216no—
968#124—216no—
969#124—28no—
970#124—28no—
971#124—28no—
972#124—28no—
973#124—28no—
974#124—28no—
975#124—24no—
976#124—24no—
977#124—44no—
978#124—44no—
979#124—44no—
980#123—28no—
981#123—24no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—28no—
987#123—28no—
988#123—28no—
989#123—216no—
990#123—216no—
991#123—216no—
992#123—216no—
993#123—24no—
994#123—28no—
995#123—216no—
996#123—216no—
997#123—216no—
998#123—216no—
999#123—28no—
1000#123—28no—
1001#123—28no—
1002#123—24no—
1003#123—24no—
1004#123—48no—
1005#123—42no—
1006#123—42no—
1007#123—44no—
1008#123—44no—
1009#123—48no—
1010C22⋊Q8—28no—
1011C22⋊Q8—28no—
1012C22⋊Q8—24no—
1013C22⋊Q8—24no—
1014C22⋊Q8—28no—
1015C22⋊Q8—24no—
1016C22⋊Q8—28no—
1017C22⋊Q8—28no—
1018C22⋊Q8—48no—
1019C22⋊Q8—48no—
1020C22⋊Q8—44no—
1021C22⋊Q8—44no—
1022#121—28no—
1023#121—28no—
1024#121—24no—
1025#121—24no—
1026#121—28no—
1027#121—28no—
1028#121—24no—
1029#121—24no—
1030#121—24no—
1031#121—28no—
1032#121—28no—
1033#121—48no—
1034#121—48no—
1035#121—48no—
1036#121—48no—
1037#121—44no—
1038#121—44no—
1039#121—48no—
1040#120—28no—
1041#120—28no—
1042#120—28no—
1043#120—28no—
1044#120—28no—
1045#120—48no—
1046#120—48no—
1047#120—44no—
1048#120—44no—
1049#120—44no—
1050C4×Q8—28no—
1051C4×Q8—28no—
1052C4×Q8—216no—
1053C4×Q8—24no—
1054C4×Q8—28no—
1055C4×Q8—28no—
1056C4×Q8—28no—
1057C4×Q8—28no—
1058C4×Q8—24no—
1059C4×Q8—24no—
1060C4×D4—24no—
1061C4×D4—24no—
1062C4×D4—216no—
1063C4×D4—216no—
1064C4×D4—216no—
1065C4×D4—216no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—24no—
1071C4×D4—24no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—216no—
1076C4×D4—24no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—24no—
1080C4×D4—24no—
1081C4×D4—48no—
1082C4×D4—44no—
1083C4×D4—44no—
1084C4×D4—48no—
1085C4×D4C2×D418yes—
1086C4×D4C2×D4116yes—
1087C4×D4C2×D418yes—
1088C4×D4C2×D418yes—
1089C4×D4C2×D4116yes—
1090C4×D4C2×D418yes—
1091#117—28no—
1092#117—24no—
1093#117—28no—
1094#117—24no—
1095#117—28no—
1096#117—24no—
1097#117—24no—
1098#117—28no—
1099#117—48no—
1100#117—48no—
1101#117—44no—
1102#117—44no—
1103#117—42no—
1104C2×C4⋊C4—24no—
1105C2×C4⋊C4—28no—
1106C2×C4⋊C4—24no—
1107C2×C4⋊C4—24no—
1108C2×C4⋊C4—28no—
1109C2×C4⋊C4—28no—
1110C2×C4⋊C4—24no—
1111C2×C4⋊C4—48no—
1112C2×C4⋊C4C2×D418yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2411yescharacteristic
1168C2×C4⋊C4C2411yescharacteristic
1169C2×C4⋊C4C2412yes—
1170C2×C22⋊C4—28no—
1171C2×C22⋊C4—28no—
1172C2×C22⋊C4—28no—
1173C2×C22⋊C4—28no—
1174C2×C22⋊C4—28no—
1175C2×C22⋊C4—28no—
1176C2×C22⋊C4—28no—
1177C2×C22⋊C4—28no—
1178C2×C22⋊C4—28no—
1179C2×C22⋊C4—28no—
1180C2×C22⋊C4—44no—
1181C2×C22⋊C4C2×D4116yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2411yescharacteristic
1213C2×C22⋊C4C2411yescharacteristic
1214C2×C22⋊C4C2411yescharacteristic
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2411yescharacteristic
1217C2×C22⋊C4C2411yescharacteristic
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2411yescharacteristic
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2411yescharacteristic
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2411yescharacteristic
1261C2×C42—28no—
1262C2×C42—24no—
1263C2×C42—24no—
1264C2×C42—48no—
1265C2×C42C2×D418yes—
1266C2×C42C2412yes—
1267C2×C42C2412yes—
1268C2×C42C2412yes—
1269C2×C42C2412yes—
1270C2×C42C2414yes—
1271C2×C42C2411yescharacteristic
1272C2×C42C2411yescharacteristic
1273C2×C42C2414yes—
1274C2×C42C2412yes—
1275C2×C42C2412yes—
1276C2×C42C2414yes—
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2412yes—
1281C2×C42C2414yes—
1282C2×C42C2414yes—
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2412yes—
1286C2×C42C2411yescharacteristic
1287C2×C42C2411yescharacteristic
1288C2×C42C2411yescharacteristic
1289C2×C42C2411yescharacteristic
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2414yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333C24—24no—
1334C24—24no—
1335C24—24no—
1336C24—24no—
1337C24—24no—
1338C24—24no—
1339C24—44no—
1340C24—44no—
1341C24—44no—
1342C24—44no—
1343C24—44no—
1344C24—42no—
1345C24—44no—
1346C24—42no—
1347C24C22×D418yes—
1348C24C2511yescharacteristic
1349C24C2514yes—
1350C24C2512yes—
1351C24C2511yescharacteristic
1352C24C2512yes—
1353C24C2512yes—
1354C24C2511yescharacteristic
1355#41—416no—
1356#41—816no—
1357C2×Q8—22no—
1358C2×Q8—24no—
1359C2×Q8—24no—
1360C2×Q8—24no—
1361C2×Q8—24no—
1362C2×Q8—22no—
1363C2×Q8—24no—
1364C2×Q8—24no—
1365C2×Q8—24no—
1366C2×Q8—24no—
1367C2×Q8—24no—
1368C2×Q8—24no—
1369C2×Q8—42no—
1370C2×Q8—42no—
1371C2×Q8—44no—
1372C2×Q8—42no—
1373C2×Q8—42no—
1374C2×Q8—42no—
1375C2×Q8—416no—
1376C2×Q8—416no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—28no—
1380C2×D4—28no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—22no—
1384C2×D4—24no—
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—24no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—28no—
1395C2×D4—28no—
1396C2×D4—22no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—22no—
1400C2×D4—24no—
1401C2×D4—28no—
1402C2×D4—24no—
1403C2×D4—24no—
1404C2×D4—28no—
1405C2×D4—28no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—416no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—432no—
1417C2×D4—416no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—42no—
1421C2×D4—44no—
1422C2×D4—42no—
1423C2×D4—42no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—42no—
1430C2×D4—44no—
1431C2×D4—42no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—416no—
1443C2×D4—816no—
1444C2×D4—816no—
1445C2×D4C22×D414yes—
1446C2×D4C22×D414yes—
1447C2×D4C22×D418yes—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—22no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—24no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—22no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—24no—
1473C22×C4—28no—
1474C22×C4—28no—
1475C22×C4—28no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—432no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—44no—
1487C22×C4—42no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—42no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—44no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—816no—
1507C22×C4C22×D414yes—
1508C22×C4C22×D418yes—
1509C22×C4C22×D414yes—
1510C22×C4C22×D414yes—
1511C22×C4C22×D418yes—
1512C22×C4C22×D418yes—
1513C22×C4C22×D418yes—
1514C22×C4C22×D418yes—
1515C22×C4C2512yes—
1516C22×C4C2512yes—
1517C22×C4C2512yes—
1518C22×C4C2514yes—
1519C22×C4C2514yes—
1520C22×C4C2511yescharacteristic
1521C22×C4C2514yes—
1522C22×C4C2512yes—
1523C22×C4C2512yes—
1524C22×C4C2511yescharacteristic
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2511yescharacteristic
1528C22×C4C2512yes—
1529C22×C4C2511yescharacteristic
1530C22×C4C2512yes—
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2512yes—
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2512yes—
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C22×C4C2512yes—
1541C22×C4C2512yes—
1542C22×C4C2511yescharacteristic
1543C4⋊C4—24no—
1544C4⋊C4—22no—
1545C4⋊C4—22no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—22no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—28no—
1553C4⋊C4—28no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—22no—
1561C4⋊C4—22no—
1562C4⋊C4—22no—
1563C4⋊C4—22no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—22no—
1568C4⋊C4—22no—
1569C4⋊C4—24no—
1570C4⋊C4—22no—
1571C4⋊C4—22no—
1572C4⋊C4—22no—
1573C4⋊C4—24no—
1574C4⋊C4—28no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—28no—
1581C4⋊C4—24no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4—42no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4—42no—
1592C4⋊C4—42no—
1593C4⋊C4—44no—
1594C4⋊C4—42no—
1595C4⋊C4—44no—
1596C4⋊C4—42no—
1597C4⋊C4C22×D414yes—
1598C4⋊C4C22×D414yes—
1599C4⋊C4C22×D418yes—
1600C22⋊C4—22no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—28no—
1604C22⋊C4—28no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—28no—
1608C22⋊C4—28no—
1609C22⋊C4—22no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—22no—
1615C22⋊C4—24no—
1616C22⋊C4—22no—
1617C22⋊C4—22no—
1618C22⋊C4—24no—
1619C22⋊C4—22no—
1620C22⋊C4—22no—
1621C22⋊C4—22no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—28no—
1626C22⋊C4—28no—
1627C22⋊C4—28no—
1628C22⋊C4—28no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—28no—
1632C22⋊C4—28no—
1633C22⋊C4—22no—
1634C22⋊C4—22no—
1635C22⋊C4—24no—
1636C22⋊C4—22no—
1637C22⋊C4—22no—
1638C22⋊C4—24no—
1639C22⋊C4—22no—
1640C22⋊C4—28no—
1641C22⋊C4—24no—
1642C22⋊C4—28no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—28no—
1646C22⋊C4—24no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4—42no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—42no—
1673C22⋊C4—42no—
1674C22⋊C4C22×D418yes—
1675C22⋊C4C22×D418yes—
1676C22⋊C4C22×D418yes—
1677C22⋊C4C22×D418yes—
1678C22⋊C4H(5,𝔽2)14yes—
1679C42—28no—
1680C42—28no—
1681C42—24no—
1682C42—24no—
1683C42—24no—
1684C42—24no—
1685C42—24no—
1686C42—24no—
1687C42—24no—
1688C42—22no—
1689C42—22no—
1690C42—24no—
1691C42—28no—
1692C42—24no—
1693C42—24no—
1694C42—44no—
1695C42—44no—
1696C42—42no—
1697C42—42no—
1698C42—42no—
1699C42C22×D414yes—
1700C42C22×D414yes—
1701C42C22×D414yes—
1702C42C22×D414yes—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—24no—
1708C23—24no—
1709C23—22no—
1710C23—24no—
1711C23—22no—
1712C23—24no—
1713C23—216no—
1714C23—21no—
1715C23—24no—
1716C23—22no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—24no—
1721C23—22no—
1722C23—24no—
1723C23—22no—
1724C23—22no—
1725C23—24no—
1726C23—22no—
1727C23—22no—
1728C23—21no—
1729C23—24no—
1730C23—24no—
1731C23—24no—
1732C23—21no—
1733C23—24no—
1734C23—24no—
1735C23—22no—
1736C23—48no—
1737C23—48no—
1738C23—48no—
1739C23—48no—
1740C23—48no—
1741C23—48no—
1742C23—88no—
1743C23—88no—
1744C23—88no—
1745C23—88no—
1746C23—84no—
1747C23—84no—
1748C23—164no—
1749C23—164no—
1750C23C23×D414yes—
1751C23C23×D414yes—
1752C23C23×D412yes—
1753C23C2×H(5,𝔽2)12yes—
1754C23#58512yes—
1755C23C2611yescharacteristic
1756Q8—48no—
1757Q8—48no—
1758Q8—48no—
1759Q8—48no—
1760Q8—44no—
1761Q8—82no—
1762Q8—84no—
1763D4—28no—
1764D4—28no—
1765D4—48no—
1766D4—416no—
1767D4—416no—
1768D4—48no—
1769D4—48no—
1770D4—48no—
1771D4—44no—
1772D4—48no—
1773D4—44no—
1774D4—44no—
1775D4—48no—
1776D4—88no—
1777D4—82no—
1778D4—84no—
1779D4—84no—
1780D4—84no—
1781D4—88no—
1782D4—88no—
1783D4—84no—
1784D4—84no—
1785D4—88no—
1786D4—164no—
1787D4—164no—
1788C2×C4—28no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—28no—
1805C2×C4—216no—
1806C2×C4—28no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—24no—
1810C2×C4—22no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—21no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—22no—
1821C2×C4—24no—
1822C2×C4—24no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—24no—
1838C2×C4—24no—
1839C2×C4—24no—
1840C2×C4—24no—
1841C2×C4—24no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—24no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—24no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—48no—
1856C2×C4—48no—
1857C2×C4—48no—
1858C2×C4—48no—
1859C2×C4—44no—
1860C2×C4—44no—
1861C2×C4—48no—
1862C2×C4—48no—
1863C2×C4—44no—
1864C2×C4—44no—
1865C2×C4—44no—
1866C2×C4—44no—
1867C2×C4—88no—
1868C2×C4—84no—
1869C2×C4—88no—
1870C2×C4—88no—
1871C2×C4—84no—
1872C2×C4—84no—
1873C2×C4—84no—
1874C2×C4—84no—
1875C2×C4—88no—
1876C2×C4C23×D412yes—
1877C2×C4C23×D414yes—
1878C2×C4C23×D412yes—
1879C2×C4C23×D414yes—
1880C2×C4C23×D412yes—
1881C2×C4C23×D412yes—
1882C2×C4C23×D412yes—
1883C2×C4C23×D412yes—
1884C2×C4C2×H(5,𝔽2)14yes—
1885C2×C4#58514yes—
1886C2×C4#58514yes—
1887C22—24no—
1888C22—24no—
1889C22—22no—
1890C22—22no—
1891C22—24no—
1892C22—24no—
1893C22—24no—
1894C22—24no—
1895C22—24no—
1896C22—24no—
1897C22—44no—
1898C22—44no—
1899C22—44no—
1900C22—44no—
1901C22—41no—
1902C22—44no—
1903C22—42no—
1904C22—41no—
1905C22—42no—
1906C22—44no—
1907C22—44no—
1908C22—42no—
1909C22—44no—
1910C22—44no—
1911C22—44no—
1912C22—42no—
1913C22—44no—
1914C22—42no—
1915C22—42no—
1916C22—44no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—44no—
1922C22—42no—
1923C22—816no—
1924C22—816no—
1925C22—168no—
1926C22#349614yes—
1927C22C24×D411yescharacteristic
1928C22C22×H(5,𝔽2)11yescharacteristic
1929C22C2×#58511yescharacteristic
1930C22C2×#58512yes—
1931C22C2×#58512yes—
1932C4—22no—
1933C4—22no—
1934C4—24no—
1935C4—24no—
1936C4—24no—
1937C4—24no—
1938C4—22no—
1939C4—22no—
1940C4—22no—
1941C4—42no—
1942C4—42no—
1943C4—41no—
1944C4—42no—
1945C4—41no—
1946C4—42no—
1947C4—44no—
1948C4—44no—
1949C4—42no—
1950C4—42no—
1951C4—42no—
1952C4—42no—
1953C4—41no—
1954C4—41no—
1955C4—41no—
1956C4—41no—
1957C4—42no—
1958C4—44no—
1959C4#344914yes—
1960C2—24no—
1961C2—44no—
1962C2—44no—
1963C2—81no—
1964C2—84no—
1965C2—82no—
1966C2—81no—
1967C2C2×#344911yescharacteristic
1968C2C2×#349611yescharacteristic
1969C2#6281111yescharacteristic
1970C2#6302112yes—
1971C2#6303012yes—
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×#3513C2semidirect
2. C22×#559C2semidirect
3. #42444C2semidirect
4. #42441C2semidirect
5. #40535C2semidirect
6. #40530C2semidirect
7. #39953C2semidirect
8. #39949C2semidirect
9. #39943C2semidirect
10. #39941C2semidirect
11. #39464C2semidirect
12. #39336C2semidirect
13. #38918C2semidirect
14. #38906C2semidirect
15. #38044C2semidirect
16. #38028C2semidirect
17. #37842C2semidirect
18. #37654C2semidirect
19. #37546C2semidirect
20. #37443C2semidirect
21. #36471C2semidirect
22. #36469C2semidirect
23. #36423C2semidirect
24. #36422C2semidirect
25. #36162C2semidirect
26. #36102C2semidirect
27. #35808C2semidirect
28. #35778C2semidirect
29. #35247C2semidirect
30. #35131C2semidirect
31. #35089C2semidirect
32. #35062C2semidirect
33. #34972C2semidirect
34. #34737C2semidirect
35. D4×#117C2semidirect
40. C2×#559C22semidirect
41. C2×#559C22semidirect
42. C2×#559C22semidirect
43. C2×#559C22semidirect
44. C2×#559C22semidirect
45. C2×#554C22semidirect
46. C2×#553C22semidirect
47. C2×#553C22semidirect
50. C2×#551C22semidirect
54. C2×#546C22semidirect
56. C2×#542C22semidirect
57. C2×#540C22semidirect
58. C2×#539C22semidirect
59. C2×#538C22semidirect
65. C22×#124C22semidirect
66. C22×#124C22semidirect
68. C2×#525C22semidirect
70. C22×#123C22semidirect
71. C22×#123C22semidirect
72. C2×#520C22semidirect
73. C2×#518C22semidirect
74. C22×C4×Q8C22semidirect
75. C22×C4×Q8C22semidirect
77. C22×C4×D4C22semidirect
78. C22×C4×D4C22semidirect
79. C22×#117C22semidirect
80. #2861C22semidirect
81. #2858C22semidirect
82. #2855C22semidirect
83. #2855C22semidirect
86. #2854C22semidirect
87. #2854C22semidirect
89. #2853C22semidirect
91. #2849C22semidirect
92. #2820C22semidirect
93. #2819C22semidirect
94. #2814C22semidirect
95. #2813C22semidirect
96. #2717C22semidirect
97. #2715C22semidirect
98. #2712C22semidirect
99. #2710C22semidirect
100. #2709C22semidirect
101. #2706C22semidirect
102. #2700C22semidirect
103. #2695C22semidirect
104. #2693C22semidirect
105. #2687C22semidirect
106. #2686C22semidirect
107. #2686C22semidirect
108. #2684C22semidirect
109. #2680C22semidirect
110. #2678C22semidirect
111. #2676C22semidirect
112. #2674C22semidirect
114. #2673C22semidirect
115. #2672C22semidirect
116. #2672C22semidirect
117. #2671C22semidirect
118. #2670C22semidirect
120. #2663C22semidirect
121. #2662C22semidirect
122. #2662C22semidirect
123. #2662C22semidirect
124. #2661C22semidirect
125. #2637C22semidirect
126. #2630C22semidirect
127. #2630C22semidirect
128. #2630C22semidirect
129. #2630C22semidirect
130. #2626C22semidirect
132. #2622C22semidirect
133. #2620C22semidirect
134. #2620C22semidirect
135. #2618C22semidirect
136. #2618C22semidirect
139. #2613C22semidirect
140. #2610C22semidirect
141. #2604C22semidirect
142. #2604C22semidirect
143. #2602C22semidirect
144. #2602C22semidirect
145. #2602C22semidirect
146. #2602C22semidirect
147. #2592C22semidirect
148. #2592C22semidirect
149. #2584C22semidirect
150. #2582C22semidirect
151. #2579C22semidirect
152. #2565C22semidirect
153. #2557C22semidirect
154. #2557C22semidirect
155. #2555C22semidirect
156. #2553C22semidirect
157. #2547C22semidirect
158. #2545C22semidirect
159. #2545C22semidirect
160. #2544C22semidirect
161. #2544C22semidirect
162. #2544C22semidirect
164. #2540C22semidirect
165. #2538C22semidirect
166. #2534C22semidirect
167. #2521C22semidirect
168. #2503C22semidirect
170. #2491C22semidirect
171. #2486C22semidirect
172. #2484C22semidirect
173. #2483C22semidirect
174. #2482C22semidirect
175. #2474C22semidirect
176. #2472C22semidirect
177. #2470C22semidirect
178. #2469C22semidirect
179. #2467C22semidirect
180. #2465C22semidirect
181. #2464C22semidirect
182. #2463C22semidirect
183. #2462C22semidirect
184. #2461C22semidirect
185. #2460C22semidirect
186. #2459C22semidirect
187. #2458C22semidirect
188. #2457C22semidirect
189. #2456C22semidirect
190. #2455C22semidirect
191. #2454C22semidirect
192. #2453C22semidirect
193. #2452C22semidirect
194. #2451C22semidirect
195. #2447C22semidirect
196. #2447C22semidirect
201. #2435C22semidirect
202. #2435C22semidirect
203. #2434C22semidirect
204. #2434C22semidirect
207. #2432C22semidirect
209. #2429C22semidirect
211. #2428C22semidirect
212. #2428C22semidirect
213. #2427C22semidirect
214. #2427C22semidirect
215. #2427C22semidirect
216. #2426C22semidirect
217. #2422C22semidirect
218. #2418C22semidirect
219. #2417C22semidirect
220. #2416C22semidirect
221. #2415C22semidirect
222. #2414C22semidirect
226. #2413C22semidirect
227. #2413C22semidirect
228. #2413C22semidirect
229. #2413C22semidirect
230. #2413C22semidirect
231. #2413C22semidirect
232. #2413C22semidirect
234. #2412C22semidirect
237. #2411C22semidirect
238. #2411C22semidirect
239. #2411C22semidirect
240. #2411C22semidirect
241. #2411C22semidirect
242. #2411C22semidirect
244. #2410C22semidirect
246. #2409C22semidirect
247. #2409C22semidirect
249. #2408C22semidirect
250. #2406C22semidirect
252. #2405C22semidirect
253. #2404C22semidirect
255. #2396C22semidirect
256. #2396C22semidirect
257. #2392C22semidirect
258. #2392C22semidirect
259. #2367C22semidirect
260. #2367C22semidirect
261. #2366C22semidirect
262. #2365C22semidirect
263. #2363C22semidirect
264. #2362C22semidirect
265. #2361C22semidirect
266. #2360C22semidirect
267. #2354C22semidirect
268. #2352C22semidirect
269. D4×C4⋊C4C22semidirect
270. #2344C22semidirect
271. #2344C22semidirect
272. #2342C22semidirect
273. #2342C22semidirect
276. #2323C22semidirect
277. #2322C22semidirect
278. #2321C22semidirect
279. #2321C22semidirect
280. #2321C22semidirect
281. #2315C22semidirect
283. #2308C22semidirect
284. C4×C4⋊Q8C22semidirect
285. C4×#124C22semidirect
288. C4×#123C22semidirect
289. C4×#123C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. #2297C22semidirect
293. #2296C22semidirect
294. #2293C22semidirect
295. #2290C22semidirect
296. #2285C22semidirect
297. #2280C22semidirect
298. #2280C22semidirect
299. C42×D4C22semidirect
300. C4×#117C22semidirect
470. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35132
C22×#5592
#424442
#424412
#405352
#405302
#399532
#399492
#399432
#399412
#394642
#393362
#389182
#389062
#380442
#380282
#378422
#376542
#375462
#374432
#364712
#364692
#364232
#364222
#361622
#361022
#358082
#357782
#352472
#351312
#350892
#350622
#349722
#347372
D4×#1172