Finite Group Databasebeta

← #7658035

Subgroups — #7658035

Order 512.

6740 conjugacy classes of subgroups.

The subgroup lattice has 1941 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3520C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#42386C212yesmaximal, complemented
4#42310C212yesmaximal, complemented
5#41417C214yesmaximal, complemented
6#41414C214yesmaximal, complemented
7#41404C214yesmaximal, complemented
8#41385C212yesmaximal, complemented
9#41384C212yesmaximal, complemented
10#41375C212yesmaximal, complemented
11#41374C212yesmaximal, complemented
12#38915C212yesmaximal, complemented
13#38903C212yesmaximal, complemented
14#38051C212yesmaximal, complemented
15#38041C212yesmaximal, complemented
16#38032C212yesmaximal, complemented
17#38027C212yesmaximal, complemented
18#37635C211yesmaximal, characteristic, complemented
19#37551C211yesmaximal, characteristic, complemented
20#37445C211yesmaximal, characteristic, complemented
21#37444C211yesmaximal, characteristic, complemented
22#37442C211yesmaximal, characteristic, complemented
23#37438C211yesmaximal, characteristic, complemented
24#36375C212yesmaximal, complemented
25#36374C212yesmaximal, complemented
26#36032C212yesmaximal, complemented
27#36021C212yesmaximal, complemented
28#36012C214yesmaximal, complemented
29#35342C211yesmaximal, characteristic, complemented
30#35311C211yesmaximal, characteristic, complemented
31#35263C211yesmaximal, characteristic, complemented
32#34635C211yesmaximal, characteristic, complemented
33#34627C211yesmaximal, characteristic, complemented
34C2×#2625C211yesmaximal, characteristic, complemented
35#34185C211yesmaximal, characteristic, complemented
36#3520—216no—
37#3475—216no—
38C2×#556C2211yescharacteristic
39C2×#556C2211yescharacteristic
40C2×#555C2211yescharacteristic
41C2×#554C2212yes—
42C2×#554C2211yescharacteristic
43C2×#553C2211yescharacteristic
44C2×#553C2211yescharacteristic
45C2×#552C2211yescharacteristic
46C2×#552C2211yescharacteristic
47C2×#552C2211yescharacteristic
48C2×#552C2211yescharacteristic
49C2×#552C2212yes—
50C2×#551C2212yes—
51C2×#551C2212yes—
52C2×#551C2212yes—
53C2×#551C2212yes—
54C2×D4×Q8C2211yescharacteristic
55C2×#548C2211yescharacteristic
56C2×#548C2211yescharacteristic
57C2×#547C2211yescharacteristic
58C2×#547C2211yescharacteristic
59C2×#547C2211yescharacteristic
60C2×#546C2212yes—
61C2×#546C2212yes—
62C2×#542C2212yes—
63C2×#539C2212yes—
64C2×#539C2212yes—
65C2×#533C2211yescharacteristic
66C2×#533C2211yescharacteristic
67C2×#529C2212yes—
68C2×#529C2211yescharacteristic
69C2×#529C2212yes—
70C2×#529C2212yes—
71C2×#525C2211yescharacteristic
72C2×#525C2211yescharacteristic
73C2×#525C2211yescharacteristic
74C2×#525C2211yescharacteristic
75C22×C22⋊Q8C2211yescharacteristic
76C22×C22⋊Q8C2211yescharacteristic
77C2×#520C2212yes—
78C2×C4×#41C2211yescharacteristic
79C2×C4×#41C2212yes—
80C22×C4×D4C2211yescharacteristic
81C22×#117C2211yescharacteristic
82C22×#117C2211yescharacteristic
83#2855C2212yescomplemented
84#2855C2212yescomplemented
85#2855C2212yescomplemented
86#2854C2212yescomplemented
87#2851C2212yescomplemented
88#2850C2212yescomplemented
89#2821C2212yescomplemented
90#2821C2212yescomplemented
91#2817C2214yes—
92#2817C2212yescomplemented
93#2816C2212yescomplemented
94#2814C2214yes—
95#2814C2212yescomplemented
96#2813C2212yescomplemented
97#2812C2214yes—
98#2723C2214yescomplemented
99#2720C2214yescomplemented
100#2720C2214yescomplemented
101#2719C2214yescomplemented
102#2718C2214yescomplemented
103#2718C2214yescomplemented
104#2717C2214yes—
105#2717C2214yes—
106#2716C2214yescomplemented
107#2713C2214yescomplemented
108#2710C2214yescomplemented
109#2708C2214yes—
110#2708C2214yes—
111#2706C2214yescomplemented
112#2700C2214yescomplemented
113#2698C2214yescomplemented
114#2692C2214yescomplemented
115#2690C2214yescomplemented
116#2689C2214yescomplemented
117#2688C2214yes—
118#2688C2214yes—
119#2687C2214yescomplemented
120#2686C2214yes—
121#2686C2214yes—
122#2663C2214yes—
123#2663C2214yes—
124#2663C2212yescomplemented
125#2661C2212yescomplemented
126#2660C2212yescomplemented
127#2659C2212yescomplemented
128#2642C2212yescomplemented
129#2639C2212yescomplemented
130#2638C2214yes—
131#2638C2214yes—
132#2638C2212yescomplemented
133#2635C2212yescomplemented
134#2634C2212yescomplemented
135#2634C2212yescomplemented
136#2634C2212yescomplemented
137#2633C2212yescomplemented
138#2630C2214yes—
139#2628C2212yescomplemented
140#2627C2212yescomplemented
141#2625C2211yescharacteristic
142#2625C2211yescharacteristic
143#2625C2211yescharacteristic
144#2625C2211yescharacteristic
145#2625C2211yescharacteristic
146#2625C2211yescharacteristic
147#2625C2211yescharacteristic
148#2625C2214yes—
149#2625C2211yescharacteristic
150#2625C2211yescharacteristic
151#2625C2212yescomplemented
152#2625C2212yescomplemented
153#2625C2212yescomplemented
154#2625C2212yescomplemented
155#2625C2212yescomplemented
156#2624C2211yescharacteristic
157#2624C2211yescharacteristic
158#2624C2211yescharacteristic
159#2624C2212yescomplemented
160#2623C2212yescomplemented
161#2623C2212yescomplemented
162#2622C2214yes—
163#2622C2214yes—
164#2621C2212yescomplemented
165#2618C2212yescomplemented
166#2617C2214yes—
167#2616C2211yescharacteristic
168#2616C2211yescharacteristic
169#2616C2211yescharacteristic
170#2615C2211yescharacteristic
171#2611C2212yescomplemented
172#2611C2212yescomplemented
173#2604C2212yescomplemented
174#2603C2212yescomplemented
175#2602C2214yes—
176#2602C2214yes—
177#2600C2214yes—
178#2599C2212yescomplemented
179#2598C2212yescomplemented
180#2592C2212yescomplemented
181#2591C2212yescomplemented
182#2584C2212yescomplemented
183#2583C2212yescomplemented
184#2581C2212yescomplemented
185#2581C2212yescomplemented
186#2581C2212yescomplemented
187#2580C2212yescomplemented
188#2568C2212yescomplemented
189#2567C2212yescomplemented
190#2564C2212yescomplemented
191#2557C2214yescomplemented
192#2557C2214yescomplemented
193#2553C2214yescomplemented
194#2553C2214yescomplemented
195#2549C2214yescomplemented
196#2543C2212yescomplemented
197#2521C2214yescomplemented
198#2521C2214yescomplemented
199#2503C2212yescomplemented
200#2502C2212yescomplemented
201#2501C2214yescomplemented
202#2499C2214yes—
203#2499C2214yes—
204#2498C2212yescomplemented
205#2498C2212yescomplemented
206#2496C2214yescomplemented
207#2496C2214yescomplemented
208#2488C2214yescomplemented
209#2488C2214yescomplemented
210#2487C2212yescomplemented
211#2487C2212yescomplemented
212#2486C2212yescomplemented
213#2486C2212yescomplemented
214#2485C2214yes—
215#2485C2212yescomplemented
216#2485C2212yescomplemented
217#2484C2212yescomplemented
218#2484C2212yescomplemented
219#2483C2214yes—
220#2481C2214yescomplemented
221#2478C2214yescomplemented
222#2478C2214yescomplemented
223#2477C2214yescomplemented
224#2475C2214yescomplemented
225#2474C2214yescomplemented
226#2473C2214yescomplemented
227#2470C2214yescomplemented
228#2469C2214yescomplemented
229#2468C2214yescomplemented
230#2466C2214yescomplemented
231#2465C2214yescomplemented
232#2462C2214yescomplemented
233#2462C2214yescomplemented
234#2459C2214yescomplemented
235#2457C2214yescomplemented
236#2444C2214yes—
237#2444C2214yes—
238#2430C2214yes—
239#2430C2214yes—
240#2419C2214yes—
241#2419C2214yes—
242#2417C2212yescomplemented
243#2417C2212yescomplemented
244#2417C2212yescomplemented
245#2416C2212yescomplemented
246#2415C2212yescomplemented
247#2415C2212yescomplemented
248#2415C2212yescomplemented
249#2414C2212yescomplemented
250#2412C2214yes—
251#2412C2214yes—
252#2409C2212yescomplemented
253#2409C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2406C2214yes—
257#2406C2214yes—
258#2399C2212yescomplemented
259#2398C2212yescomplemented
260#2395C2214yes—
261#2395C2214yes—
262#2395C2212yescomplemented
263#2395C2212yescomplemented
264C2×#400C2212yescomplemented
265C2×#398C2212yescomplemented
266C2×#397C2214yes—
267#2364C2214yescomplemented
268#2359C2214yescomplemented
269#2359C2214yescomplemented
270#2353C2212yes—
271#2353C2212yes—
272#2353C2212yes—
273#2353C2212yes—
274#2352C2212yes—
275#2352C2212yes—
276#2352C2212yes—
277#2352C2212yes—
278#2344C2214yescomplemented
279#2324C2212yescomplemented
280#2323C2212yescomplemented
281#2317C2212yescomplemented
282#2316C2212yescomplemented
283#2313C2212yes—
284#2312C2212yes—
285#2311C2212yescomplemented
286#2310C2212yescomplemented
287#2308C2212yes—
288C4×C22⋊Q8C2212yescomplemented
289C4×C22⋊Q8C2212yescomplemented
290#2297C2212yescomplemented
291#2296C2212yescomplemented
292C2×#391C2212yescomplemented
293C2×#389C2212yescomplemented
294#2283C2211yescharacteristic
295#2283C2211yescharacteristic
296#2280C2211yescharacteristic
297#2280C2211yescharacteristic
298C2×#380C2211yescharacteristic
299C2×#380C2211yescharacteristic
300#2273C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×Q8C2311yescharacteristic
308C23×D4C2311yescharacteristic
309C24×C4C2311yescharacteristic
310C24×C4C2311yescharacteristic
311#556—28no—
312#556—28no—
313#555—28no—
314#554—28no—
315#554—216no—
316#553—28no—
317#553—28no—
318#552—28no—
319#552—28no—
320#552—28no—
321#552—28no—
322#552—216no—
323#551—216no—
324#551—216no—
325#551—216no—
326#551—216no—
327D4×Q8—28no—
328#548—28no—
329#548—28no—
330#547—28no—
331#547—28no—
332#547—28no—
333#546—216no—
334#546—216no—
335#542—216no—
336#539—216no—
337#539—216no—
338#533—28no—
339#533—28no—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345#529—216no—
346#529—216no—
347#529—216no—
348#529—28no—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#125C2311yescharacteristic
361C2×#125C2311yescharacteristic
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#124C2311yescharacteristic
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376#525—28no—
377#525—28no—
378#525—28no—
379#525—28no—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×C22⋊Q8—28no—
400C2×C22⋊Q8—28no—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2311yescharacteristic
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×#121C2311yescharacteristic
437C2×#121C2311yescharacteristic
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2314yes—
447C2×#120C2312yes—
448C2×#120C2312yes—
449C2×#120C2312yes—
450C2×#120C2312yes—
451#520—216no—
452C4×#41—216no—
453C4×#41—28no—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2312yes—
464C2×C4×D4D4116yescomplemented
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×#117—28no—
494C2×#117—28no—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2311yescharacteristic
504C2×#117C2311yescharacteristic
505C2×#117C2312yes—
506C2×#117C2311yescharacteristic
507C2×#117C2311yescharacteristic
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2311yescharacteristic
511C2×#117C2311yescharacteristic
512C2×#117C2312yes—
513C2×#117C2312yes—
514C2×#117C2312yes—
515C2×#117C2311yescharacteristic
516C2×#117C2312yes—
517C2×#117C2312yes—
518C22×C4⋊C4C2311yescharacteristic
519C22×C4⋊C4C2312yes—
520C22×C4⋊C4C2312yes—
521C22×C4⋊C4C2311yescharacteristic
522C22×C4⋊C4C2311yescharacteristic
523C22×C4⋊C4C2311yescharacteristic
524C22×C4⋊C4C2311yescharacteristic
525C22×C4⋊C4C2312yes—
526C22×C4⋊C4C2311yescharacteristic
527C22×C4⋊C4C2312yes—
528C22×C4⋊C4C2314yes—
529C22×C4⋊C4C2312yes—
530C22×C4⋊C4C2311yescharacteristic
531C22×C22⋊C4C2312yes—
532C22×C22⋊C4C2312yes—
533C22×C22⋊C4C2312yes—
534C22×C22⋊C4C2312yes—
535C22×C22⋊C4C2312yes—
536C22×C22⋊C4C2312yes—
537C22×C22⋊C4C2311yescharacteristic
538C22×C22⋊C4C2311yescharacteristic
539C22×C42C2312yes—
540C22×C42C2312yes—
541C22×C42C2312yes—
542C22×C42C2311yescharacteristic
543#400C2314yes—
544#400C2314yes—
545#400C2314yes—
546#400C2314yes—
547#400C2312yes—
548#400C2312yes—
549#400C2314yes—
550#400C2312yes—
551#400C2314yes—
552#400C2312yes—
553#400C2312yes—
554#400C2312yes—
555#400C2312yes—
556#400C2314yes—
557#400C2312yes—
558#400C2314yes—
559#400C2314yes—
560#400C2312yes—
561#400C2314yes—
562#399C2314yes—
563#399C2312yes—
564#399C2314yes—
565#399C2312yes—
566#399C2312yes—
567#399C2314yes—
568#399C2314yes—
569#398C2312yes—
570#398C2312yes—
571#398C2314yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2314yes—
576#398C2314yes—
577#398C2312yes—
578#398C2314yes—
579#398C2312yes—
580#398C2314yes—
581#398C2314yes—
582#398C2312yes—
583#398C2312yes—
584#398C2314yes—
585#398C2314yes—
586#398C2314yes—
587#398C2314yes—
588#397C2314yes—
589#397C2314yes—
590#397C2314yes—
591#397C2314yes—
592#397C2314yes—
593#397C2314yes—
594#397C2314yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2314yes—
599#397C2314yes—
600#397C2314yes—
601#397C2314yes—
602#397C2314yes—
603#397C2314yes—
604#397C2314yes—
605#397C2314yes—
606#397C2314yes—
607#397C2314yes—
608#397C2314yes—
609#397C2314yes—
610#397C2314yes—
611#397C2314yes—
612#397C2314yes—
613#397C2314yes—
614#397C2314yes—
615#397C2314yes—
616#396C2314yes—
617#396C2314yes—
618#396C2314yes—
619#396C2314yes—
620#395C2314yes—
621#395C2314yes—
622#395C2314yes—
623#395C2314yes—
624#395C2312yes—
625#395C2312yes—
626#395C2314yes—
627#395C2314yes—
628#395C2314yes—
629#395C2312yes—
630#395C2314yes—
631#395C2314yes—
632#394C2312yes—
633#394C2312yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#394C2312yes—
642#394C2314yes—
643#394C2314yes—
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2314yes—
649#394C2314yes—
650#394C2314yes—
651#394C2314yes—
652#393C2314yes—
653#393C2312yes—
654#393C2314yes—
655#393C2314yes—
656#393C2314yes—
657#393C2314yes—
658#392C2312yes—
659#392C2314yes—
660#392C2314yes—
661#392C2314yes—
662#392C2314yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2314yes—
668#391C2314yes—
669#391C2312yes—
670#391C2314yes—
671#391C2312yes—
672#391C2312yes—
673#391C2314yes—
674#391C2312yes—
675#391C2312yes—
676#391C2314yes—
677#391C2314yes—
678#390C2312yes—
679#390C2312yes—
680#390C2314yes—
681#390C2312yes—
682#390C2314yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2312yes—
689#389C2312yes—
690#389C2314yes—
691#389C2314yes—
692#389C2312yes—
693#389C2312yes—
694#389C2314yes—
695#389C2312yes—
696#389C2312yes—
697#389C2314yes—
698#389C2314yes—
699#389C2314yes—
700#389C2314yes—
701#389C2314yes—
702#389C2312yes—
703#389C2314yes—
704#389C2314yes—
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#388C2314yes—
723#388C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#384C2314yes—
788#384C2314yes—
789#383C2312yes—
790#383C2312yes—
791#382C2314yes—
792#382C2314yes—
793#382C2312yes—
794#382C2312yes—
795#381C2312yes—
796#381C2312yes—
797#381C2312yes—
798#381C2314yes—
799#381C2314yes—
800#381C2314yes—
801#381C2314yes—
802#381C2314yes—
803#381C2314yes—
804#381C2312yes—
805#380C2314yes—
806#380C2314yes—
807#380C2314yes—
808#380C2312yes—
809#380C2312yes—
810#380C2314yes—
811#380C2314yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2311yescharacteristic
821#380C2311yescharacteristic
822#380C2311yescharacteristic
823#380C2311yescharacteristic
824#380C2312yes—
825#380C2312yes—
826#380C2314yes—
827#380C2314yes—
828#379C2312yes—
829#379C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2314yes—
834C4×C4⋊C4C2314yes—
835C4×C4⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
850#376C2312yes—
851#376C2312yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C2×#95C2314yes—
855C2×#95C2314yes—
856C2×#95C2314yes—
857C25C2411yescharacteristic
858C25C2411yescharacteristic
859C2×#41—28no—
860C2×#41—28no—
861C2×#41—24no—
862C2×#41—24no—
863C2×#41—24no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—44no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41—44no—
870C2×#41—44no—
871C22×Q8—24no—
872C22×Q8—24no—
873C22×Q8—44no—
874C22×Q8—44no—
875C22×Q8C2411yescharacteristic
876C22×Q8C2411yescharacteristic
877C22×Q8C2411yescharacteristic
878C22×Q8C2411yescharacteristic
879C22×Q8C2412yes—
880C22×Q8C2412yes—
881C22×Q8C2412yes—
882C22×Q8C2412yes—
883C22×Q8C2412yes—
884C22×D4—42no—
885C22×D4—42no—
886C22×D4C2×D418yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2411yescharacteristic
903C22×D4C2411yescharacteristic
904C23×C4—44no—
905C23×C4—44no—
906C23×C4C2×D418yes—
907C23×C4C2×D418yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2414yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2414yes—
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C4⋊Q8—28no—
938C4⋊Q8—24no—
939C4⋊Q8—24no—
940C4⋊Q8—24no—
941C4⋊Q8—24no—
942#126—28no—
943#126—28no—
944#126—28no—
945#126—28no—
946#126—28no—
947#126—28no—
948#126—28no—
949#126—28no—
950#126—28no—
951#126—28no—
952#126—28no—
953#125—28no—
954#125—28no—
955#125—28no—
956#125—28no—
957#125—28no—
958#125—24no—
959#125—28no—
960#125—24no—
961#125—24no—
962#124—28no—
963#124—28no—
964#124—28no—
965#124—28no—
966#124—28no—
967#124—28no—
968#124—24no—
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—28no—
978#123—28no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—48no—
987#123—48no—
988C22⋊Q8—24no—
989C22⋊Q8—24no—
990C22⋊Q8—24no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995C22⋊Q8—24no—
996C22⋊Q8—24no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—24no—
1000C22⋊Q8—24no—
1001C22⋊Q8—24no—
1002C22⋊Q8—24no—
1003C22⋊Q8—24no—
1004C22⋊Q8—24no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—28no—
1009C22⋊Q8—28no—
1010C22⋊Q8—28no—
1011C22⋊Q8—28no—
1012C22⋊Q8—28no—
1013C22⋊Q8—28no—
1014C22⋊Q8—28no—
1015C22⋊Q8—28no—
1016C22⋊Q8—44no—
1017C22⋊Q8—44no—
1018C22⋊Q8—44no—
1019#121—28no—
1020#121—28no—
1021#121—28no—
1022#121—28no—
1023#121—28no—
1024#121—28no—
1025#121—24no—
1026#121—24no—
1027#121—24no—
1028#121—24no—
1029#121—24no—
1030#121—24no—
1031#121—24no—
1032#121—44no—
1033#121—48no—
1034#120—28no—
1035#120—28no—
1036#120—28no—
1037#120—28no—
1038C4×Q8—28no—
1039C4×Q8—28no—
1040C4×Q8—28no—
1041C4×Q8—24no—
1042C4×Q8—24no—
1043C4×Q8—28no—
1044C4×Q8—28no—
1045C4×Q8—24no—
1046C4×Q8—24no—
1047C4×Q8—24no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—24no—
1066C4×D4—24no—
1067C4×D4—24no—
1068C4×D4C2×D418yes—
1069C4×D4C2×D418yes—
1070C4×D4C2×D418yes—
1071C4×D4C2×D418yes—
1072C4×D4C2×D418yes—
1073C4×D4C2×D418yes—
1074C4×D4C2×D418yes—
1075C4×D4C2×D418yes—
1076#117—24no—
1077#117—24no—
1078#117—24no—
1079#117—28no—
1080#117—28no—
1081#117—28no—
1082#117—28no—
1083#117—24no—
1084#117—24no—
1085#117—24no—
1086#117—24no—
1087#117—24no—
1088#117—24no—
1089#117—28no—
1090#117—28no—
1091#117—28no—
1092#117—28no—
1093#117—28no—
1094#117—28no—
1095#117—28no—
1096#117—28no—
1097#117—44no—
1098#117—44no—
1099C2×C4⋊C4—24no—
1100C2×C4⋊C4—24no—
1101C2×C4⋊C4—24no—
1102C2×C4⋊C4—24no—
1103C2×C4⋊C4—28no—
1104C2×C4⋊C4—28no—
1105C2×C4⋊C4—24no—
1106C2×C4⋊C4—24no—
1107C2×C4⋊C4—28no—
1108C2×C4⋊C4—44no—
1109C2×C4⋊C4—44no—
1110C2×C4⋊C4—48no—
1111C2×C4⋊C4C2×D418yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2411yescharacteristic
1179C2×C4⋊C4C2411yescharacteristic
1180C2×C4⋊C4C2411yescharacteristic
1181C2×C4⋊C4C2411yescharacteristic
1182C2×C22⋊C4—28no—
1183C2×C22⋊C4—28no—
1184C2×C22⋊C4—28no—
1185C2×C22⋊C4—28no—
1186C2×C22⋊C4—44no—
1187C2×C22⋊C4—44no—
1188C2×C22⋊C4C2×D418yes—
1189C2×C22⋊C4C2×D418yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2411yescharacteristic
1249C2×C22⋊C4C2411yescharacteristic
1250C2×C22⋊C4C2411yescharacteristic
1251C2×C22⋊C4C2411yescharacteristic
1252C2×C22⋊C4C2411yescharacteristic
1253C2×C22⋊C4C2411yescharacteristic
1254C2×C22⋊C4C2411yescharacteristic
1255C2×C22⋊C4C2411yescharacteristic
1256C2×C42—28no—
1257C2×C42—28no—
1258C2×C42—28no—
1259C2×C42C2×D418yes—
1260C2×C42C2412yes—
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2412yes—
1266C2×C42C2412yes—
1267C2×C42C2412yes—
1268C2×C42C2412yes—
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2412yes—
1272C2×C42C2412yes—
1273C2×C42C2412yes—
1274C2×C42C2414yes—
1275C2×C42C2414yes—
1276C2×C42C2414yes—
1277C2×C42C2414yes—
1278C2×C42C2411yescharacteristic
1279C2×C42C2411yescharacteristic
1280C2×C42C2411yescharacteristic
1281C2×C42C2411yescharacteristic
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
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—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330C24—22no—
1331C24—22no—
1332C24—42no—
1333C24—42no—
1334C24—41no—
1335C24—41no—
1336C24—42no—
1337C24—42no—
1338C24C22×D414yes—
1339C24C22×D414yes—
1340C24C2512yes—
1341C24C2512yes—
1342C24C2511yescharacteristic
1343C24C2511yescharacteristic
1344C24C2511yescharacteristic
1345C24C2511yescharacteristic
1346C24C2511yescharacteristic
1347#41—416no—
1348#41—432no—
1349#41—432no—
1350#41—88no—
1351#41—88no—
1352C2×Q8—22no—
1353C2×Q8—24no—
1354C2×Q8—24no—
1355C2×Q8—22no—
1356C2×Q8—22no—
1357C2×Q8—22no—
1358C2×Q8—24no—
1359C2×Q8—24no—
1360C2×Q8—24no—
1361C2×Q8—24no—
1362C2×Q8—24no—
1363C2×Q8—24no—
1364C2×Q8—42no—
1365C2×Q8—42no—
1366C2×Q8—42no—
1367C2×Q8—42no—
1368C2×Q8—42no—
1369C2×Q8—44no—
1370C2×Q8—44no—
1371C2×Q8—42no—
1372C2×Q8—42no—
1373C2×Q8—88no—
1374C2×Q8—88no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—24no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—44no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—416no—
1418C2×D4C22×D414yes—
1419C2×D4C22×D414yes—
1420C2×D4C22×D414yes—
1421C2×D4C22×D414yes—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—28no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—416no—
1449C22×C4—416no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—41no—
1458C22×C4—41no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—44no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—44no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—44no—
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×D414yes—
1485C22×C4C22×D414yes—
1486C22×C4C22×D414yes—
1487C22×C4C22×D414yes—
1488C22×C4C22×D414yes—
1489C22×C4C22×D414yes—
1490C22×C4C22×D414yes—
1491C22×C4C22×D414yes—
1492C22×C4C22×D414yes—
1493C22×C4C22×D414yes—
1494C22×C4C22×D414yes—
1495C22×C4C2514yes—
1496C22×C4C2514yes—
1497C22×C4C2514yes—
1498C22×C4C2514yes—
1499C22×C4C2512yes—
1500C22×C4C2512yes—
1501C22×C4C2512yes—
1502C22×C4C2512yes—
1503C22×C4C2512yes—
1504C22×C4C2512yes—
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2512yes—
1510C22×C4C2512yes—
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2511yescharacteristic
1514C22×C4C2511yescharacteristic
1515C22×C4C2511yescharacteristic
1516C22×C4C2511yescharacteristic
1517C22×C4C2511yescharacteristic
1518C22×C4C2511yescharacteristic
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—22no—
1529C4⋊C4—22no—
1530C4⋊C4—22no—
1531C4⋊C4—22no—
1532C4⋊C4—22no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—22no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—44no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—44no—
1576C4⋊C4—44no—
1577C4⋊C4—44no—
1578C4⋊C4—44no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4C22×D414yes—
1590C4⋊C4C22×D414yes—
1591C4⋊C4C22×D414yes—
1592C4⋊C4C22×D414yes—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—28no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—44no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4C22×D414yes—
1652C22⋊C4C22×D414yes—
1653C22⋊C4C22×D414yes—
1654C22⋊C4C22×D414yes—
1655C22⋊C4C22×D414yes—
1656C22⋊C4C22×D414yes—
1657C22⋊C4C22×D414yes—
1658C22⋊C4C22×D414yes—
1659C42—24no—
1660C42—24no—
1661C42—24no—
1662C42—24no—
1663C42—24no—
1664C42—24no—
1665C42—24no—
1666C42—24no—
1667C42—24no—
1668C42—24no—
1669C42—24no—
1670C42—24no—
1671C42—24no—
1672C42—24no—
1673C42—44no—
1674C42—44no—
1675C42—44no—
1676C42—44no—
1677C42C22×D414yes—
1678C42C22×D414yes—
1679C42C22×D414yes—
1680C42C22×D414yes—
1681C23—22no—
1682C23—22no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—22no—
1687C23—22no—
1688C23—22no—
1689C23—22no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—28no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—24no—
1709C23—24no—
1710C23—22no—
1711C23—22no—
1712C23—44no—
1713C23—44no—
1714C23—44no—
1715C23—44no—
1716C23—44no—
1717C23—84no—
1718C23—84no—
1719C23—84no—
1720C23—84no—
1721C23C23×D412yes—
1722C23C23×D412yes—
1723C23C23×D412yes—
1724C23C23×D412yes—
1725C23C23×D412yes—
1726C23#58512yes—
1727C23#58512yes—
1728C23C2611yescharacteristic
1729Q8—44no—
1730Q8—48no—
1731Q8—48no—
1732Q8—44no—
1733Q8—44no—
1734Q8—44no—
1735Q8—84no—
1736Q8—84no—
1737Q8—84no—
1738D4—28no—
1739D4—28no—
1740D4—44no—
1741D4—44no—
1742D4—44no—
1743D4—48no—
1744D4—48no—
1745D4—48no—
1746D4—48no—
1747D4—48no—
1748D4—48no—
1749D4—44no—
1750D4—84no—
1751D4—84no—
1752D4—84no—
1753D4—84no—
1754D4—164no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—28no—
1767C2×C4—28no—
1768C2×C4—28no—
1769C2×C4—28no—
1770C2×C4—28no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—24no—
1787C2×C4—24no—
1788C2×C4—24no—
1789C2×C4—24no—
1790C2×C4—24no—
1791C2×C4—24no—
1792C2×C4—24no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—24no—
1801C2×C4—24no—
1802C2×C4—24no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—24no—
1811C2×C4—24no—
1812C2×C4—24no—
1813C2×C4—24no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—24no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—44no—
1822C2×C4—44no—
1823C2×C4—44no—
1824C2×C4—44no—
1825C2×C4—44no—
1826C2×C4—44no—
1827C2×C4—44no—
1828C2×C4—44no—
1829C2×C4—48no—
1830C2×C4—48no—
1831C2×C4—48no—
1832C2×C4—48no—
1833C2×C4—48no—
1834C2×C4—48no—
1835C2×C4—48no—
1836C2×C4—84no—
1837C2×C4—84no—
1838C2×C4—84no—
1839C2×C4—84no—
1840C2×C4—84no—
1841C2×C4—88no—
1842C2×C4—84no—
1843C2×C4—84no—
1844C2×C4—164no—
1845C2×C4C23×D412yes—
1846C2×C4C23×D412yes—
1847C2×C4C23×D412yes—
1848C2×C4C23×D412yes—
1849C2×C4C23×D412yes—
1850C2×C4C23×D412yes—
1851C2×C4C23×D412yes—
1852C2×C4C23×D412yes—
1853C2×C4C23×D412yes—
1854C2×C4C23×D412yes—
1855C2×C4#58514yes—
1856C22—22no—
1857C22—22no—
1858C22—24no—
1859C22—24no—
1860C22—22no—
1861C22—22no—
1862C22—22no—
1863C22—22no—
1864C22—22no—
1865C22—22no—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—42no—
1873C22—42no—
1874C22—42no—
1875C22—42no—
1876C22—42no—
1877C22—42no—
1878C22—42no—
1879C22—42no—
1880C22—42no—
1881C22—42no—
1882C22—42no—
1883C22—42no—
1884C22—42no—
1885C22—42no—
1886C22—42no—
1887C22—44no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—44no—
1892C22—88no—
1893C22—88no—
1894C22#344914yes—
1895C22C24×D411yescharacteristic
1896C22C2×#58512yes—
1897C22C2×#58511yescharacteristic
1898C22C2×#58511yescharacteristic
1899C222−1+612yes—
1900C4—22no—
1901C4—22no—
1902C4—22no—
1903C4—22no—
1904C4—22no—
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—42no—
1910C4—42no—
1911C4—42no—
1912C4—42no—
1913C4—42no—
1914C4—42no—
1915C4—42no—
1916C4—42no—
1917C4—42no—
1918C4—42no—
1919C4—42no—
1920C4—42no—
1921C4—42no—
1922C4—42no—
1923C4—44no—
1924C4—44no—
1925C4—44no—
1926C4—44no—
1927C4#348514yes—
1928C2—24no—
1929C2—42no—
1930C2—42no—
1931C2—42no—
1932C2—42no—
1933C2—82no—
1934C2—82no—
1935C2C2×#344911yescharacteristic
1936C2C2×#348511yescharacteristic
1937C2#6285911yescharacteristic
1938C2#6294012yes—
1939C2#6297112yes—
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×#3520C2semidirect
2. C2×#3475C2semidirect
3. #42386C2semidirect
4. #42310C2semidirect
5. #41417C2semidirect
6. #41414C2semidirect
7. #41404C2semidirect
8. #41385C2semidirect
9. #41384C2semidirect
10. #41375C2semidirect
11. #41374C2semidirect
12. #38915C2semidirect
13. #38903C2semidirect
14. #38051C2semidirect
15. #38041C2semidirect
16. #38032C2semidirect
17. #38027C2semidirect
18. #37635C2semidirect
19. #37551C2semidirect
20. #37445C2semidirect
21. #37444C2semidirect
22. #37442C2semidirect
23. #37438C2semidirect
24. #36375C2semidirect
25. #36374C2semidirect
26. #36032C2semidirect
27. #36021C2semidirect
28. #36012C2semidirect
29. #35342C2semidirect
30. #35311C2semidirect
31. #35263C2semidirect
32. #34635C2semidirect
33. #34627C2semidirect
34. C2×#2625C2semidirect
35. #34185C2semidirect
83. #2855C22semidirect
84. #2855C22semidirect
85. #2855C22semidirect
86. #2854C22semidirect
87. #2851C22semidirect
88. #2850C22semidirect
89. #2821C22semidirect
90. #2821C22semidirect
92. #2817C22semidirect
93. #2816C22semidirect
95. #2814C22semidirect
96. #2813C22semidirect
98. #2723C22semidirect
99. #2720C22semidirect
100. #2720C22semidirect
101. #2719C22semidirect
102. #2718C22semidirect
103. #2718C22semidirect
106. #2716C22semidirect
107. #2713C22semidirect
108. #2710C22semidirect
111. #2706C22semidirect
112. #2700C22semidirect
113. #2698C22semidirect
114. #2692C22semidirect
115. #2690C22semidirect
116. #2689C22semidirect
119. #2687C22semidirect
124. #2663C22semidirect
125. #2661C22semidirect
126. #2660C22semidirect
127. #2659C22semidirect
128. #2642C22semidirect
129. #2639C22semidirect
132. #2638C22semidirect
133. #2635C22semidirect
134. #2634C22semidirect
135. #2634C22semidirect
136. #2634C22semidirect
137. #2633C22semidirect
139. #2628C22semidirect
140. #2627C22semidirect
151. #2625C22semidirect
152. #2625C22semidirect
153. #2625C22semidirect
154. #2625C22semidirect
155. #2625C22semidirect
159. #2624C22semidirect
160. #2623C22semidirect
161. #2623C22semidirect
164. #2621C22semidirect
165. #2618C22semidirect
171. #2611C22semidirect
172. #2611C22semidirect
173. #2604C22semidirect
174. #2603C22semidirect
178. #2599C22semidirect
179. #2598C22semidirect
180. #2592C22semidirect
181. #2591C22semidirect
182. #2584C22semidirect
183. #2583C22semidirect
184. #2581C22semidirect
185. #2581C22semidirect
186. #2581C22semidirect
187. #2580C22semidirect
188. #2568C22semidirect
189. #2567C22semidirect
190. #2564C22semidirect
191. #2557C22semidirect
192. #2557C22semidirect
193. #2553C22semidirect
194. #2553C22semidirect
195. #2549C22semidirect
196. #2543C22semidirect
197. #2521C22semidirect
198. #2521C22semidirect
199. #2503C22semidirect
200. #2502C22semidirect
201. #2501C22semidirect
204. #2498C22semidirect
205. #2498C22semidirect
206. #2496C22semidirect
207. #2496C22semidirect
208. #2488C22semidirect
209. #2488C22semidirect
210. #2487C22semidirect
211. #2487C22semidirect
212. #2486C22semidirect
213. #2486C22semidirect
215. #2485C22semidirect
216. #2485C22semidirect
217. #2484C22semidirect
218. #2484C22semidirect
220. #2481C22semidirect
221. #2478C22semidirect
222. #2478C22semidirect
223. #2477C22semidirect
224. #2475C22semidirect
225. #2474C22semidirect
226. #2473C22semidirect
227. #2470C22semidirect
228. #2469C22semidirect
229. #2468C22semidirect
230. #2466C22semidirect
231. #2465C22semidirect
232. #2462C22semidirect
233. #2462C22semidirect
234. #2459C22semidirect
235. #2457C22semidirect
242. #2417C22semidirect
243. #2417C22semidirect
244. #2417C22semidirect
245. #2416C22semidirect
246. #2415C22semidirect
247. #2415C22semidirect
248. #2415C22semidirect
249. #2414C22semidirect
252. #2409C22semidirect
253. #2409C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
258. #2399C22semidirect
259. #2398C22semidirect
262. #2395C22semidirect
263. #2395C22semidirect
264. C2×#400C22semidirect
265. C2×#398C22semidirect
267. #2364C22semidirect
268. #2359C22semidirect
269. #2359C22semidirect
278. #2344C22semidirect
279. #2324C22semidirect
280. #2323C22semidirect
281. #2317C22semidirect
282. #2316C22semidirect
285. #2311C22semidirect
286. #2310C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. #2297C22semidirect
291. #2296C22semidirect
292. C2×#391C22semidirect
293. C2×#389C22semidirect
464. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35202
C2×#34752
#423862
#423102
#414172
#414142
#414042
#413852
#413842
#413752
#413742
#389152
#389032
#380512
#380412
#380322
#380272
#376352
#375512
#374452
#374442
#374422
#374382
#363752
#363742
#360322
#360212
#360122
#353422
#353112
#352632
#346352
#346272
C2×#26252
#341852