Finite Group Databasebeta

← #7648502

Subgroups — #7648502

Order 512.

7016 conjugacy classes of subgroups.

The subgroup lattice has 2004 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3480C211yesmaximal, characteristic, complemented
2C2×#3460C211yesmaximal, characteristic, complemented
3#42154C212yesmaximal, complemented
4#42152C212yesmaximal, complemented
5#41956C212yesmaximal, complemented
6#41954C212yesmaximal, complemented
7#41386C212yesmaximal, complemented
8#41380C212yesmaximal, complemented
9#40507C212yesmaximal, complemented
10#40501C212yesmaximal, complemented
11#39868C214yesmaximal, complemented
12#39845C214yesmaximal, complemented
13#38379C214yesmaximal, complemented
14#38373C214yesmaximal, complemented
15#37618C211yesmaximal, characteristic, complemented
16#37554C211yesmaximal, characteristic, complemented
17#37553C211yesmaximal, characteristic, complemented
18#37550C211yesmaximal, characteristic, complemented
19#37281C212yesmaximal, complemented
20#37278C212yesmaximal, complemented
21#37273C212yesmaximal, complemented
22#37272C212yesmaximal, complemented
23#35569C212yesmaximal, complemented
24#35567C212yesmaximal, complemented
25#35292C211yesmaximal, characteristic, complemented
26#35259C212yesmaximal, complemented
27#35258C212yesmaximal, complemented
28#35249C211yesmaximal, characteristic, complemented
29#35232C211yesmaximal, characteristic, complemented
30#35210C211yesmaximal, characteristic, complemented
31#35130C211yesmaximal, characteristic, complemented
32#35111C211yesmaximal, characteristic, complemented
33#34963C211yesmaximal, characteristic, complemented
34#34909C211yesmaximal, characteristic, complemented
35#34189C211yesmaximal, characteristic, complemented
36#3480—216no—
37C2×#559C2212yes—
38C2×#559C2211yescharacteristic, complemented
39C2×#557C2211yescharacteristic, complemented
40C2×#556C2211yescharacteristic
41C2×#556C2212yescomplemented
42C2×#553C2211yescharacteristic
43C2×#553C2212yes—
44C2×#553C2211yescharacteristic, complemented
45C2×#553C2212yescomplemented
46C2×#550C2211yescharacteristic
47C2×#548C2211yescharacteristic
48C2×#548C2211yescharacteristic, complemented
49#3460—216no—
50C2×#544C2211yescharacteristic
51C2×#542C2212yes—
52C2×#542C2211yescharacteristic
53C2×#542C2211yescharacteristic
54C2×#540C2212yes—
55C2×#540C2211yescharacteristic
56C2×#540C2211yescharacteristic
57C2×#538C2212yes—
58C2×#538C2212yes—
59C2×#537C2211yescharacteristic
60C2×#535C2211yescharacteristic
61C2×#535C2211yescharacteristic
62C2×#532C2212yes—
63C2×#532C2211yescharacteristic
64C2×#532C2211yescharacteristic
65C2×#532C2212yes—
66C2×#532C2211yescharacteristic, complemented
67C2×#529C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2212yes—
71C2×#529C2212yes—
72C2×#529C2211yescharacteristic, complemented
73C2×#529C2212yescomplemented
74C2×#525C2212yes—
75C2×#525C2212yes—
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2211yescharacteristic
78C2×C4×#41C2211yescharacteristic
79C2×C4×#41C2211yescharacteristic, complemented
80C2×C4×#41C2212yescomplemented
81C22×C4×Q8C2211yescharacteristic, complemented
82C22×C4×D4C2211yescharacteristic
83#2857C2212yescomplemented
84#2856C2212yes—
85#2855C2212yescomplemented
86#2854C2212yes—
87#2854C2212yes—
88#2854C2212yescomplemented
89#2852C2214yescomplemented
90#2851C2212yescomplemented
91#2850C2212yes—
92#2849C2214yes—
93#2821C2212yescomplemented
94#2820C2212yescomplemented
95#2819C2212yescomplemented
96#2818C2212yescomplemented
97#2815C2212yescomplemented
98#2815C2212yescomplemented
99#2814C2212yescomplemented
100#2813C2212yescomplemented
101#2733C2214yes—
102#2731C2214yes—
103#2730C2214yescomplemented
104#2729C2214yescomplemented
105#2721C2214yescomplemented
106#2714C2214yes—
107#2713C2214yescomplemented
108#2711C2214yes—
109#2700C2214yes—
110#2699C2214yes—
111#2690C2214yescomplemented
112#2689C2214yes—
113#2688C2214yescomplemented
114#2686C2214yes—
115#2685C2214yes—
116#2684C2214yes—
117#2682C2214yes—
118#2680C2214yes—
119#2678C2214yes—
120#2678C2214yes—
121#2678C2214yes—
122#2676C2214yes—
123#2674C2214yescomplemented
124#2673C2214yes—
125#2673C2214yes—
126#2673C2214yes—
127#2673C2214yes—
128#2672C2214yes—
129#2671C2214yescomplemented
130#2670C2214yes—
131#2669C2214yes—
132#2669C2214yes—
133#2664C2212yescomplemented
134#2662C2212yescomplemented
135#2661C2212yescomplemented
136#2661C2212yescomplemented
137#2657C2212yescomplemented
138#2656C2212yescomplemented
139#2640C2212yescomplemented
140#2639C2212yescomplemented
141#2638C2212yes—
142#2637C2212yescomplemented
143#2636C2212yescomplemented
144#2636C2214yescomplemented
145#2635C2212yes—
146#2635C2214yescomplemented
147#2633C2212yes—
148#2632C2212yescomplemented
149#2632C2212yescomplemented
150#2631C2212yes—
151#2631C2214yescomplemented
152#2630C2214yescomplemented
153#2629C2212yescomplemented
154#2628C2212yescomplemented
155#2624C2212yescomplemented
156#2623C2212yescomplemented
157#2620C2212yes—
158#2619C2212yes—
159#2616C2212yescomplemented
160#2615C2212yes—
161#2615C2212yes—
162#2615C2212yescomplemented
163#2615C2212yescomplemented
164#2614C2212yescomplemented
165#2611C2212yescomplemented
166#2610C2212yescomplemented
167#2610C2214yescomplemented
168#2609C2214yescomplemented
169#2604C2212yescomplemented
170#2604C2212yescomplemented
171#2603C2214yes—
172#2602C2214yes—
173#2601C2214yescomplemented
174#2600C2214yes—
175#2599C2214yescomplemented
176#2599C2212yescomplemented
177#2598C2214yes—
178#2598C2212yescomplemented
179#2592C2212yes—
180#2592C2212yescomplemented
181#2584C2212yescomplemented
182#2581C2211yescharacteristic, complemented
183#2581C2211yescharacteristic, complemented
184#2580C2211yescharacteristic
185#2580C2211yescharacteristic
186#2580C2211yescharacteristic
187#2580C2211yescharacteristic
188#2580C2211yescharacteristic, complemented
189#2580C2211yescharacteristic, complemented
190#2567C2212yescomplemented
191#2562C2212yescomplemented
192#2561C2212yes—
193#2560C2214yescomplemented
194#2559C2214yescomplemented
195#2558C2214yescomplemented
196#2557C2214yescomplemented
197#2556C2214yescomplemented
198#2555C2214yescomplemented
199#2555C2214yescomplemented
200#2554C2214yescomplemented
201#2548C2212yes—
202#2547C2212yescomplemented
203#2541C2212yes—
204#2540C2212yes—
205#2540C2212yescomplemented
206#2539C2212yes—
207#2536C2211yescharacteristic, complemented
208#2536C2211yescharacteristic, complemented
209#2535C2211yescharacteristic
210#2535C2211yescharacteristic
211#2535C2211yescharacteristic
212#2535C2211yescharacteristic
213#2535C2211yescharacteristic, complemented
214#2535C2211yescharacteristic, complemented
215#2521C2214yescomplemented
216#2512C2214yescomplemented
217#2501C2212yescomplemented
218#2498C2212yescomplemented
219#2487C2212yes—
220#2486C2212yes—
221#2485C2212yes—
222#2485C2212yes—
223#2482C2212yes—
224#2469C2214yescomplemented
225#2467C2214yescomplemented
226#2465C2214yescomplemented
227#2464C2214yescomplemented
228#2464C2214yescomplemented
229#2464C2214yescomplemented
230#2463C2214yescomplemented
231#2461C2214yescomplemented
232#2461C2214yescomplemented
233#2461C2214yescomplemented
234#2459C2214yescomplemented
235#2458C2214yescomplemented
236#2458C2214yescomplemented
237#2457C2214yescomplemented
238#2456C2214yescomplemented
239#2456C2214yescomplemented
240#2456C2214yescomplemented
241#2456C2214yescomplemented
242#2455C2214yescomplemented
243#2445C2214yescomplemented
244#2436C2212yescomplemented
245#2431C2214yescomplemented
246#2430C2212yescomplemented
247#2430C2214yescomplemented
248#2428C2214yescomplemented
249#2422C2214yescomplemented
250#2417C2212yescomplemented
251#2416C2212yes—
252#2416C2212yes—
253#2416C2212yescomplemented
254#2415C2212yescomplemented
255#2414C2212yes—
256#2414C2212yes—
257#2414C2212yescomplemented
258#2408C2212yes—
259#2408C2212yes—
260#2407C2212yes—
261#2407C2212yes—
262#2407C2214yescomplemented
263#2406C2214yescomplemented
264#2404C2212yes—
265#2398C2212yes—
266#2397C2212yes—
267#2395C2212yes—
268#2388C2212yes—
269#2357C2212yes—
270#2357C2212yes—
271#2356C2212yescomplemented
272#2356C2212yescomplemented
273#2353C2212yes—
274#2353C2212yes—
275#2353C2212yescomplemented
276#2353C2212yescomplemented
277#2326C2214yescomplemented
278#2325C2214yescomplemented
279#2324C2212yes—
280#2324C2212yes—
281#2324C2212yescomplemented
282#2324C2214yescomplemented
283#2323C2212yescomplemented
284#2322C2214yescomplemented
285#2314C2212yes—
286#2314C2212yescomplemented
287#2311C2212yes—
288C4×C22⋊Q8C2212yescomplemented
289C4×#121C2212yes—
290C4×#121C2212yes—
291C4×#121C2212yescomplemented
292C4×#120C2214yes—
293#2290C2214yescomplemented
294#2285C2211yescharacteristic, complemented
295#2283C2211yescharacteristic
296#2283C2211yescharacteristic
297#2283C2211yescharacteristic, complemented
298#2283C2211yescharacteristic, complemented
299C2×#382C2211yescharacteristic, complemented
300#2274C2212yescomplemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C23×Q8C2311yescharacteristic
309C23×D4C2311yescharacteristic
310C24×C4C2312yes—
311#559—28no—
312#559—216no—
313#557—28no—
314#556—216no—
315#556—28no—
316#553—28no—
317#553—216no—
318#553—28no—
319#553—216no—
320#550—28no—
321#548—28no—
322#548—28no—
323#544—28no—
324#542—216no—
325#542—28no—
326#542—28no—
327#540—216no—
328#540—28no—
329#540—28no—
330#538—216no—
331#538—216no—
332#537—28no—
333#535—28no—
334#535—28no—
335#532—216no—
336#532—216no—
337#532—28no—
338#532—28no—
339#532—28no—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×#127C2311yescharacteristic
346C2×#127C2311yescharacteristic
347C2×#127C2312yes—
348C2×#127C2312yes—
349C2×#127C2311yescharacteristic
350C2×#127C2314yes—
351#529—216no—
352#529—216no—
353#529—216no—
354#529—28no—
355#529—28no—
356#529—28no—
357#529—28no—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#126C2312yes—
368C2×#125C2311yescharacteristic
369C2×#125C2311yescharacteristic
370C2×#125C2311yescharacteristic
371C2×#125C2311yescharacteristic
372C2×#125C2312yes—
373C2×#125C2312yes—
374C2×#125C2312yes—
375C2×#124C2311yescharacteristic
376C2×#124C2312yes—
377C2×#124C2311yescharacteristic
378C2×#124C2311yescharacteristic
379C2×#124C2311yescharacteristic
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2312yes—
388C2×#124C2312yes—
389C2×#124C2314yes—
390C2×#124C2314yes—
391#525—216no—
392#525—216no—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2314yes—
408C2×#123C2314yes—
409C2×#123C2314yes—
410C2×#123C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2314yes—
425C2×#121C2311yescharacteristic
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2311yescharacteristic
432C2×#121C2311yescharacteristic
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2311yescharacteristic
440C2×#121C2311yescharacteristic
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2314yes—
457C2×#121C2314yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2314yes—
462C2×#121C2314yes—
463C2×#121C2314yes—
464C2×#120C2312yes—
465C2×#120C2312yes—
466C2×#120C2312yes—
467C2×#120C2312yes—
468C2×#120C2314yes—
469C2×#120C2314yes—
470C4×#41—216no—
471C4×#41—28no—
472C4×#41—28no—
473C4×#41—28no—
474C4×#41D4116yescomplemented
475C2×C4×Q8—28no—
476C2×C4×Q8C2312yes—
477C2×C4×Q8C2311yescharacteristic
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2311yescharacteristic
481C2×C4×Q8C2312yes—
482C2×C4×Q8C2311yescharacteristic
483C2×C4×Q8C2311yescharacteristic
484C2×C4×Q8C2311yescharacteristic
485C2×C4×Q8C2311yescharacteristic
486C2×C4×Q8C2312yes—
487C2×C4×Q8C2312yes—
488C2×C4×Q8C2311yescharacteristic
489C2×C4×Q8C2311yescharacteristic
490C2×C4×D4—28no—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2311yescharacteristic
510C2×C4×D4C2312yes—
511C2×C4×D4C2311yescharacteristic
512C2×C4×D4C2312yes—
513C2×C4×D4C2311yescharacteristic
514C2×C4×D4C2312yes—
515C2×C4×D4C2312yes—
516C2×C4×D4C2312yes—
517C2×C4×D4C2312yes—
518C2×C4×D4C2312yes—
519C2×C4×D4C2312yes—
520C2×C4×D4C2312yes—
521C2×C4×D4C2312yes—
522C2×C4×D4C2314yes—
523C2×C4×D4C2314yes—
524C2×C4×D4C2314yes—
525C2×C4×D4C2311yescharacteristic
526C2×C4×D4C2311yescharacteristic
527C2×C4×D4C2311yescharacteristic
528C2×C4×D4C2311yescharacteristic
529C2×C4×D4C2311yescharacteristic
530C2×C4×D4C2311yescharacteristic
531C2×#117C2312yes—
532C2×#117C2312yes—
533C2×#117C2312yes—
534C2×#117C2312yes—
535C2×#117C2312yes—
536C2×#117C2312yes—
537C2×#117C2312yes—
538C2×#117C2311yescharacteristic
539C2×#117C2311yescharacteristic
540C2×#117C2311yescharacteristic
541C2×#117C2312yes—
542C2×#117C2311yescharacteristic
543C2×#117C2311yescharacteristic
544C2×#117C2311yescharacteristic
545C22×C4⋊C4C2312yes—
546C22×C4⋊C4C2311yescharacteristic
547C22×C4⋊C4C2311yescharacteristic
548C22×C4⋊C4C2312yes—
549C22×C22⋊C4C2312yes—
550C22×C42C2312yes—
551C22×C42C2312yes—
552C22×C42C2312yes—
553C22×C42C2312yes—
554C22×C42C2311yescharacteristic
555C22×C42C2311yescharacteristic
556C22×C42C2311yescharacteristic
557#400C2314yes—
558#400C2312yes—
559#400C2312yes—
560#400C2314yes—
561#400C2314yes—
562#399C2312yes—
563#399C2312yes—
564#399C2314yes—
565#399C2312yes—
566#399C2312yes—
567#399C2312yes—
568#399C2312yes—
569#399C2314yes—
570#399C2314yes—
571#398C2314yes—
572#398C2312yes—
573#398C2312yes—
574#398C2314yes—
575#398C2314yes—
576#398C2314yes—
577#398C2314yes—
578#397C2314yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2314yes—
584#397C2312yes—
585#397C2314yes—
586#397C2314yes—
587#397C2314yes—
588#397C2314yes—
589#397C2314yes—
590#397C2312yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#396C2314yes—
595#396C2314yes—
596#396C2314yes—
597#396C2314yes—
598#396C2314yes—
599#395C2314yes—
600#395C2314yes—
601#395C2314yes—
602#395C2314yes—
603#395C2312yes—
604#395C2312yes—
605#395C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2312yes—
609#394C2314yes—
610#394C2312yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#393C2314yes—
632#393C2312yes—
633#393C2312yes—
634#393C2312yes—
635#393C2314yes—
636#393C2314yes—
637#393C2312yes—
638#393C2312yes—
639#393C2312yes—
640#393C2314yes—
641#393C2314yes—
642#392C2312yes—
643#392C2314yes—
644#392C2312yes—
645#392C2314yes—
646#392C2312yes—
647#392C2314yes—
648#392C2314yes—
649#392C2314yes—
650#392C2314yes—
651#392C2314yes—
652#392C2312yes—
653#392C2314yes—
654#392C2314yes—
655#392C2314yes—
656#392C2314yes—
657#392C2314yes—
658#392C2314yes—
659#392C2314yes—
660#392C2314yes—
661#392C2314yes—
662#392C2314yes—
663#392C2314yes—
664#392C2314yes—
665#392C2312yes—
666#392C2314yes—
667#392C2314yes—
668#392C2312yes—
669#391C2314yes—
670#391C2314yes—
671#391C2312yes—
672#391C2312yes—
673#391C2314yes—
674#391C2314yes—
675#390C2314yes—
676#390C2314yes—
677#390C2312yes—
678#390C2312yes—
679#390C2314yes—
680#390C2314yes—
681#390C2312yes—
682#390C2314yes—
683#390C2314yes—
684#390C2314yes—
685#390C2314yes—
686#390C2312yes—
687#390C2312yes—
688#390C2312yes—
689#390C2314yes—
690#390C2314yes—
691#390C2314yes—
692#390C2314yes—
693#390C2314yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2314yes—
699#389C2314yes—
700#389C2314yes—
701#389C2312yes—
702#389C2312yes—
703#389C2314yes—
704#389C2312yes—
705#389C2312yes—
706#389C2314yes—
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#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
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#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#386C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#384C2314yes—
796#384C2312yes—
797#383C2312yes—
798#383C2312yes—
799#383C2312yes—
800#383C2312yes—
801#382C2312yes—
802#382C2312yes—
803#382C2311yescharacteristic
804#382C2311yescharacteristic
805#382C2311yescharacteristic
806#382C2311yescharacteristic
807#382C2312yes—
808#381C2314yes—
809#381C2314yes—
810#381C2312yes—
811#381C2312yes—
812#381C2312yes—
813#381C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2314yes—
825#380C2314yes—
826#380C2312yes—
827#380C2312yes—
828#380C2312yes—
829#380C2312yes—
830#379C2314yes—
831#379C2314yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2314yes—
840C4×C4⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2314yes—
851#376C2312yes—
852#376C2312yes—
853#376C2312yes—
854#376C2312yes—
855C2×#95C2312yes—
856C2×#95C2312yes—
857C25C2412yes—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—42no—
865C2×#41—42no—
866C2×#41—44no—
867C2×#41—44no—
868C2×#41—42no—
869C2×#41—42no—
870C2×#41—44no—
871C2×#41—44no—
872C2×#41—84no—
873C2×#41—84no—
874C2×#41C2×D418yes—
875C22×Q8—24no—
876C22×Q8—44no—
877C22×Q8C2411yescharacteristic
878C22×Q8C2411yescharacteristic
879C22×Q8C2412yes—
880C22×Q8C2411yescharacteristic
881C22×Q8C2412yes—
882C22×Q8C2412yes—
883C22×Q8C2412yes—
884C22×Q8C2411yescharacteristic
885C22×D4—24no—
886C22×D4—42no—
887C22×D4—42no—
888C22×D4C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2411yescharacteristic
898C22×D4C2411yescharacteristic
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2412yes—
912C22×D4C2412yes—
913C22×D4C2414yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2414yes—
917C22×D4C2414yes—
918C22×D4C2414yes—
919C22×D4C2411yescharacteristic
920C22×D4C2411yescharacteristic
921C22×D4C2411yescharacteristic
922C23×C4—28no—
923C23×C4—84no—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2412yes—
937C23×C4C2412yes—
938C23×C4C2412yes—
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2412yes—
942C23×C4C2412yes—
943C23×C4C2414yes—
944C23×C4C2411yescharacteristic
945C23×C4C2411yescharacteristic
946C23×C4C2411yescharacteristic
947C23×C4C2411yescharacteristic
948C23×C4C2411yescharacteristic
949C23×C4C2411yescharacteristic
950C4⋊Q8—28no—
951C4⋊Q8—28no—
952C4⋊Q8—24no—
953C4⋊Q8—24no—
954C4⋊Q8—24no—
955#127—28no—
956#127—28no—
957#127—24no—
958#127—24no—
959#127—24no—
960#127—84no—
961#126—28no—
962#126—28no—
963#126—28no—
964#126—28no—
965#126—28no—
966#126—28no—
967#126—28no—
968#126—28no—
969#126—28no—
970#126—28no—
971#125—28no—
972#125—28no—
973#125—28no—
974#125—24no—
975#125—24no—
976#125—24no—
977#125—24no—
978#124—28no—
979#124—28no—
980#124—28no—
981#124—28no—
982#124—28no—
983#124—28no—
984#124—28no—
985#124—24no—
986#124—24no—
987#124—24no—
988#124—24no—
989#124—28no—
990#124—28no—
991#124—28no—
992#124—48no—
993#124—84no—
994#123—28no—
995#123—28no—
996#123—28no—
997#123—28no—
998#123—28no—
999#123—28no—
1000#123—28no—
1001#123—28no—
1002#123—28no—
1003#123—28no—
1004#123—28no—
1005#123—28no—
1006#123—28no—
1007#123—28no—
1008#123—48no—
1009#123—84no—
1010#123—84no—
1011#123—84no—
1012C22⋊Q8—28no—
1013C22⋊Q8—24no—
1014C22⋊Q8—24no—
1015C22⋊Q8—24no—
1016C22⋊Q8—24no—
1017C22⋊Q8—28no—
1018C22⋊Q8—28no—
1019C22⋊Q8—28no—
1020C22⋊Q8—28no—
1021C22⋊Q8—28no—
1022C22⋊Q8—28no—
1023C22⋊Q8—44no—
1024C22⋊Q8—44no—
1025C22⋊Q8—84no—
1026#121—28no—
1027#121—28no—
1028#121—28no—
1029#121—28no—
1030#121—28no—
1031#121—28no—
1032#121—28no—
1033#121—24no—
1034#121—24no—
1035#121—24no—
1036#121—24no—
1037#121—24no—
1038#121—24no—
1039#121—24no—
1040#121—24no—
1041#121—28no—
1042#121—28no—
1043#121—24no—
1044#121—24no—
1045#121—28no—
1046#121—28no—
1047#121—28no—
1048#121—28no—
1049#121—28no—
1050#121—28no—
1051#121—28no—
1052#121—28no—
1053#121—28no—
1054#121—48no—
1055#121—48no—
1056#121—44no—
1057#121—44no—
1058#121—44no—
1059#121—44no—
1060#121—44no—
1061#121—44no—
1062#121—84no—
1063#121—84no—
1064#121—84no—
1065#120—28no—
1066#120—28no—
1067#120—28no—
1068#120—28no—
1069#120—48no—
1070#120—84no—
1071C4×Q8—28no—
1072C4×Q8—28no—
1073C4×Q8—24no—
1074C4×Q8—28no—
1075C4×Q8—24no—
1076C4×Q8—24no—
1077C4×Q8—24no—
1078C4×Q8—28no—
1079C4×Q8—24no—
1080C4×Q8—24no—
1081C4×Q8—24no—
1082C4×Q8—24no—
1083C4×Q8C2×D418yes—
1084C4×Q8C2×D418yes—
1085C4×D4—28no—
1086C4×D4—28no—
1087C4×D4—28no—
1088C4×D4—28no—
1089C4×D4—28no—
1090C4×D4—28no—
1091C4×D4—28no—
1092C4×D4—28no—
1093C4×D4—28no—
1094C4×D4—28no—
1095C4×D4—28no—
1096C4×D4—28no—
1097C4×D4—28no—
1098C4×D4—28no—
1099C4×D4—28no—
1100C4×D4—28no—
1101C4×D4—28no—
1102C4×D4—24no—
1103C4×D4—24no—
1104C4×D4—24no—
1105C4×D4—24no—
1106C4×D4—28no—
1107C4×D4—24no—
1108C4×D4—24no—
1109C4×D4—24no—
1110C4×D4—24no—
1111C4×D4—24no—
1112C4×D4—24no—
1113C4×D4—28no—
1114C4×D4—28no—
1115C4×D4—28no—
1116C4×D4—48no—
1117C4×D4—84no—
1118C4×D4—84no—
1119C4×D4C2×D418yes—
1120C4×D4C2×D418yes—
1121C4×D4C2×D418yes—
1122C4×D4C2×D418yes—
1123C4×D4C2×D418yes—
1124C4×D4C2×D418yes—
1125#117—24no—
1126#117—24no—
1127#117—24no—
1128#117—28no—
1129#117—28no—
1130#117—28no—
1131#117—28no—
1132#117—28no—
1133#117—28no—
1134#117—28no—
1135#117—44no—
1136#117C2×D418yes—
1137#117C2×D418yes—
1138#117C2×D418yes—
1139C2×C4⋊C4—24no—
1140C2×C4⋊C4—28no—
1141C2×C4⋊C4—24no—
1142C2×C4⋊C4—44no—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2414yes—
1189C2×C4⋊C4C2414yes—
1190C2×C4⋊C4C2414yes—
1191C2×C4⋊C4C2414yes—
1192C2×C4⋊C4C2414yes—
1193C2×C4⋊C4C2411yescharacteristic
1194C2×C4⋊C4C2411yescharacteristic
1195C2×C4⋊C4C2411yescharacteristic
1196C2×C4⋊C4C2411yescharacteristic
1197C2×C4⋊C4C2411yescharacteristic
1198C2×C4⋊C4C2411yescharacteristic
1199C2×C22⋊C4—28no—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2414yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2414yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2414yes—
1268C2×C22⋊C4C2411yescharacteristic
1269C2×C22⋊C4C2411yescharacteristic
1270C2×C22⋊C4C2411yescharacteristic
1271C2×C22⋊C4C2411yescharacteristic
1272C2×C22⋊C4C2411yescharacteristic
1273C2×C22⋊C4C2411yescharacteristic
1274C2×C42—28no—
1275C2×C42—28no—
1276C2×C42—28no—
1277C2×C42—28no—
1278C2×C42C2×D418yes—
1279C2×C42C2×D418yes—
1280C2×C42C2×D418yes—
1281C2×C42C2412yes—
1282C2×C42C2412yes—
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2412yes—
1286C2×C42C2412yes—
1287C2×C42C2412yes—
1288C2×C42C2412yes—
1289C2×C42C2412yes—
1290C2×C42C2412yes—
1291C2×C42C2412yes—
1292C2×C42C2414yes—
1293C2×C42C2414yes—
1294C2×C42C2414yes—
1295C2×C42C2414yes—
1296C2×C42C2414yes—
1297C2×C42C2411yescharacteristic
1298C2×C42C2411yescharacteristic
1299C2×C42C2411yescharacteristic
1300C2×C42C2411yescharacteristic
1301C2×C42C2411yescharacteristic
1302C2×C42C2411yescharacteristic
1303C2×C42C2411yescharacteristic
1304C2×C42C2411yescharacteristic
1305C2×C42C2411yescharacteristic
1306C2×C42C2411yescharacteristic
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341#95C2414yes—
1342#95C2414yes—
1343#95C2414yes—
1344#95C2414yes—
1345C24—24no—
1346C24—42no—
1347C24—42no—
1348C24—44no—
1349C24—44no—
1350C24C2512yes—
1351C24C2512yes—
1352C24C2512yes—
1353C24C2512yes—
1354C24C2512yes—
1355C24C2511yescharacteristic
1356C24C2511yescharacteristic
1357C24C2511yescharacteristic
1358#41—416no—
1359#41—416no—
1360#41—432no—
1361#41—416no—
1362#41—416no—
1363#41—816no—
1364#41—816no—
1365C2×Q8—22no—
1366C2×Q8—24no—
1367C2×Q8—22no—
1368C2×Q8—22no—
1369C2×Q8—24no—
1370C2×Q8—24no—
1371C2×Q8—24no—
1372C2×Q8—24no—
1373C2×Q8—22no—
1374C2×Q8—22no—
1375C2×Q8—24no—
1376C2×Q8—42no—
1377C2×Q8—42no—
1378C2×Q8—41no—
1379C2×Q8—41no—
1380C2×Q8—42no—
1381C2×Q8—42no—
1382C2×Q8—44no—
1383C2×Q8—44no—
1384C2×Q8—416no—
1385C2×Q8C22×D414yes—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—24no—
1412C2×D4—22no—
1413C2×D4—22no—
1414C2×D4—22no—
1415C2×D4—22no—
1416C2×D4—24no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—42no—
1420C2×D4—42no—
1421C2×D4—41no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—42no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—42no—
1437C2×D4—42no—
1438C2×D4—42no—
1439C2×D4—416no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—42no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—42no—
1452C2×D4—42no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—44no—
1456C2×D4—44no—
1457C2×D4—44no—
1458C2×D4—42no—
1459C2×D4—44no—
1460C2×D4—44no—
1461C2×D4—44no—
1462C2×D4—42no—
1463C2×D4—42no—
1464C2×D4—44no—
1465C2×D4—44no—
1466C2×D4—44no—
1467C2×D4—44no—
1468C2×D4—44no—
1469C2×D4—44no—
1470C2×D4—44no—
1471C2×D4—44no—
1472C2×D4—44no—
1473C2×D4—44no—
1474C2×D4C22×D414yes—
1475C2×D4C22×D414yes—
1476C2×D4C22×D414yes—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—24no—
1484C22×C4—24no—
1485C22×C4—24no—
1486C22×C4—24no—
1487C22×C4—24no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—24no—
1493C22×C4—24no—
1494C22×C4—24no—
1495C22×C4—24no—
1496C22×C4—24no—
1497C22×C4—24no—
1498C22×C4—24no—
1499C22×C4—24no—
1500C22×C4—24no—
1501C22×C4—24no—
1502C22×C4—24no—
1503C22×C4—24no—
1504C22×C4—24no—
1505C22×C4—24no—
1506C22×C4—42no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—42no—
1510C22×C4—42no—
1511C22×C4—42no—
1512C22×C4—42no—
1513C22×C4—42no—
1514C22×C4—42no—
1515C22×C4—42no—
1516C22×C4—42no—
1517C22×C4—42no—
1518C22×C4—42no—
1519C22×C4—44no—
1520C22×C4—44no—
1521C22×C4—42no—
1522C22×C4—42no—
1523C22×C4—44no—
1524C22×C4—44no—
1525C22×C4—42no—
1526C22×C4—42no—
1527C22×C4—42no—
1528C22×C4—42no—
1529C22×C4—44no—
1530C22×C4—44no—
1531C22×C4—44no—
1532C22×C4—44no—
1533C22×C4—816no—
1534C22×C4C22×D414yes—
1535C22×C4C22×D414yes—
1536C22×C4C22×D414yes—
1537C22×C4C22×D414yes—
1538C22×C4C22×D414yes—
1539C22×C4C22×D414yes—
1540C22×C4C22×D414yes—
1541C22×C4C22×D414yes—
1542C22×C4C22×D414yes—
1543C22×C4C2514yes—
1544C22×C4C2514yes—
1545C22×C4C2514yes—
1546C22×C4C2514yes—
1547C22×C4C2512yes—
1548C22×C4C2512yes—
1549C22×C4C2512yes—
1550C22×C4C2512yes—
1551C22×C4C2512yes—
1552C22×C4C2512yes—
1553C22×C4C2512yes—
1554C22×C4C2512yes—
1555C22×C4C2512yes—
1556C22×C4C2512yes—
1557C22×C4C2511yescharacteristic
1558C22×C4C2511yescharacteristic
1559C22×C4C2511yescharacteristic
1560C22×C4C2511yescharacteristic
1561C22×C4C2511yescharacteristic
1562C22×C4C2511yescharacteristic
1563C22×C4C2511yescharacteristic
1564C22×C4C2511yescharacteristic
1565C22×C4C2511yescharacteristic
1566C22×C4C2511yescharacteristic
1567C22×C4C2511yescharacteristic
1568C22×C4C2512yes—
1569C22×C4C2511yescharacteristic
1570C4⋊C4—24no—
1571C4⋊C4—22no—
1572C4⋊C4—24no—
1573C4⋊C4—22no—
1574C4⋊C4—22no—
1575C4⋊C4—24no—
1576C4⋊C4—22no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—22no—
1581C4⋊C4—22no—
1582C4⋊C4—24no—
1583C4⋊C4—24no—
1584C4⋊C4—22no—
1585C4⋊C4—22no—
1586C4⋊C4—24no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—24no—
1594C4⋊C4—24no—
1595C4⋊C4—24no—
1596C4⋊C4—24no—
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—24no—
1600C4⋊C4—24no—
1601C4⋊C4—24no—
1602C4⋊C4—24no—
1603C4⋊C4—24no—
1604C4⋊C4—24no—
1605C4⋊C4—24no—
1606C4⋊C4—24no—
1607C4⋊C4—28no—
1608C4⋊C4—44no—
1609C4⋊C4—44no—
1610C4⋊C4—44no—
1611C4⋊C4—44no—
1612C4⋊C4—44no—
1613C4⋊C4—44no—
1614C4⋊C4—44no—
1615C4⋊C4—44no—
1616C4⋊C4—44no—
1617C4⋊C4—44no—
1618C4⋊C4—44no—
1619C4⋊C4—44no—
1620C4⋊C4C22×D414yes—
1621C4⋊C4C22×D414yes—
1622C4⋊C4C22×D414yes—
1623C4⋊C4C22×D414yes—
1624C4⋊C4C22×D414yes—
1625C4⋊C4C22×D414yes—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—24no—
1657C22⋊C4—24no—
1658C22⋊C4—24no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—28no—
1662C22⋊C4—28no—
1663C22⋊C4—28no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—44no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—44no—
1689C22⋊C4—44no—
1690C22⋊C4—44no—
1691C22⋊C4—44no—
1692C22⋊C4—44no—
1693C22⋊C4—44no—
1694C22⋊C4C22×D414yes—
1695C22⋊C4C22×D414yes—
1696C22⋊C4C22×D414yes—
1697C22⋊C4C22×D414yes—
1698C22⋊C4C22×D414yes—
1699C22⋊C4C22×D414yes—
1700C42—24no—
1701C42—24no—
1702C42—24no—
1703C42—24no—
1704C42—24no—
1705C42—24no—
1706C42—24no—
1707C42—24no—
1708C42—24no—
1709C42—24no—
1710C42—24no—
1711C42—44no—
1712C42—44no—
1713C42—44no—
1714C42—44no—
1715C42—44no—
1716C42C22×D414yes—
1717C42C22×D414yes—
1718C42C22×D414yes—
1719C42C22×D414yes—
1720C42C22×D414yes—
1721C42C22×D414yes—
1722C42C22×D414yes—
1723C42C22×D414yes—
1724C42C22×D414yes—
1725C42C22×D414yes—
1726C23—21no—
1727C23—22no—
1728C23—22no—
1729C23—21no—
1730C23—21no—
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—24no—
1744C23—24no—
1745C23—24no—
1746C23—22no—
1747C23—22no—
1748C23—22no—
1749C23—22no—
1750C23—22no—
1751C23—22no—
1752C23—22no—
1753C23—22no—
1754C23—22no—
1755C23—22no—
1756C23—22no—
1757C23—22no—
1758C23—22no—
1759C23—22no—
1760C23—22no—
1761C23—22no—
1762C23—24no—
1763C23—24no—
1764C23—24no—
1765C23—22no—
1766C23—22no—
1767C23—48no—
1768C23—84no—
1769C23—84no—
1770C23—88no—
1771C23—88no—
1772C23C23×D412yes—
1773C23C23×D412yes—
1774C23C23×D412yes—
1775C23C2611yescharacteristic
1776Q8—28no—
1777Q8—44no—
1778Q8—48no—
1779Q8—44no—
1780Q8—48no—
1781Q8—44no—
1782Q8—84no—
1783Q8—84no—
1784D4—44no—
1785D4—44no—
1786D4—44no—
1787D4—48no—
1788D4—48no—
1789D4—48no—
1790D4—44no—
1791D4—44no—
1792D4—48no—
1793D4—48no—
1794D4—48no—
1795D4—48no—
1796D4—44no—
1797D4—44no—
1798D4—44no—
1799D4—84no—
1800D4—84no—
1801D4—84no—
1802D4—84no—
1803D4—84no—
1804D4—84no—
1805D4—84no—
1806D4—84no—
1807D4—84no—
1808D4—84no—
1809D4—84no—
1810D4—84no—
1811D4—84no—
1812D4—88no—
1813D4—88no—
1814D4—88no—
1815D4—164no—
1816D4—164no—
1817D4—164no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—21no—
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—28no—
1835C2×C4—28no—
1836C2×C4—28no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—24no—
1848C2×C4—24no—
1849C2×C4—24no—
1850C2×C4—24no—
1851C2×C4—24no—
1852C2×C4—24no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—24no—
1857C2×C4—24no—
1858C2×C4—24no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—24no—
1865C2×C4—24no—
1866C2×C4—24no—
1867C2×C4—24no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—24no—
1873C2×C4—24no—
1874C2×C4—24no—
1875C2×C4—44no—
1876C2×C4—44no—
1877C2×C4—44no—
1878C2×C4—44no—
1879C2×C4—44no—
1880C2×C4—44no—
1881C2×C4—48no—
1882C2×C4—48no—
1883C2×C4—48no—
1884C2×C4—48no—
1885C2×C4—48no—
1886C2×C4—48no—
1887C2×C4—48no—
1888C2×C4—48no—
1889C2×C4—48no—
1890C2×C4—84no—
1891C2×C4—84no—
1892C2×C4—84no—
1893C2×C4—84no—
1894C2×C4—84no—
1895C2×C4—84no—
1896C2×C4—84no—
1897C2×C4—164no—
1898C2×C4C23×D412yes—
1899C2×C4C23×D412yes—
1900C2×C4C23×D412yes—
1901C2×C4C23×D412yes—
1902C2×C4C23×D412yes—
1903C2×C4C23×D412yes—
1904C2×C4C23×D412yes—
1905C2×C4C23×D412yes—
1906C2×C4C23×D412yes—
1907C2×C4C23×D412yes—
1908C2×C4C23×D412yes—
1909C2×C4C23×D412yes—
1910C2×C4#58514yes—
1911C2×C4#58512yes—
1912C2×C4#58512yes—
1913C22—22no—
1914C22—22no—
1915C22—22no—
1916C22—22no—
1917C22—22no—
1918C22—22no—
1919C22—22no—
1920C22—22no—
1921C22—22no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—42no—
1927C22—42no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—42no—
1932C22—42no—
1933C22—42no—
1934C22—42no—
1935C22—42no—
1936C22—42no—
1937C22—42no—
1938C22—42no—
1939C22—42no—
1940C22—44no—
1941C22—44no—
1942C22—42no—
1943C22—44no—
1944C22—42no—
1945C22—42no—
1946C22—42no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—44no—
1952C22—42no—
1953C22—44no—
1954C22—44no—
1955C22—42no—
1956C22—42no—
1957C22—816no—
1958C22C24×D411yescharacteristic
1959C22C2×#58512yes—
1960C22C2×#58511yescharacteristic
1961C22C2×#58511yescharacteristic
1962C22H(7,𝔽2)12yes—
1963C4—22no—
1964C4—22no—
1965C4—22no—
1966C4—24no—
1967C4—22no—
1968C4—22no—
1969C4—22no—
1970C4—22no—
1971C4—22no—
1972C4—22no—
1973C4—22no—
1974C4—22no—
1975C4—42no—
1976C4—42no—
1977C4—42no—
1978C4—42no—
1979C4—42no—
1980C4—42no—
1981C4—42no—
1982C4—44no—
1983C4—44no—
1984C4—42no—
1985C4—42no—
1986C4—42no—
1987C4—44no—
1988C4—44no—
1989C4#344914yes—
1990C2—42no—
1991C2—42no—
1992C2—42no—
1993C2—82no—
1994C2—82no—
1995C2—82no—
1996C2—82no—
1997C2—82no—
1998C2C2×#344911yescharacteristic
1999C2#6281111yescharacteristic
2000C2#6285211yescharacteristic
2001C2#6293812yes—
2002C2#6296912yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3480C2semidirect
2. C2×#3460C2semidirect
3. #42154C2semidirect
4. #42152C2semidirect
5. #41956C2semidirect
6. #41954C2semidirect
7. #41386C2semidirect
8. #41380C2semidirect
9. #40507C2semidirect
10. #40501C2semidirect
11. #39868C2semidirect
12. #39845C2semidirect
13. #38379C2semidirect
14. #38373C2semidirect
15. #37618C2semidirect
16. #37554C2semidirect
17. #37553C2semidirect
18. #37550C2semidirect
19. #37281C2semidirect
20. #37278C2semidirect
21. #37273C2semidirect
22. #37272C2semidirect
23. #35569C2semidirect
24. #35567C2semidirect
25. #35292C2semidirect
26. #35259C2semidirect
27. #35258C2semidirect
28. #35249C2semidirect
29. #35232C2semidirect
30. #35210C2semidirect
31. #35130C2semidirect
32. #35111C2semidirect
33. #34963C2semidirect
34. #34909C2semidirect
35. #34189C2semidirect
38. C2×#559C22semidirect
39. C2×#557C22semidirect
41. C2×#556C22semidirect
44. C2×#553C22semidirect
45. C2×#553C22semidirect
48. C2×#548C22semidirect
66. C2×#532C22semidirect
72. C2×#529C22semidirect
73. C2×#529C22semidirect
79. C2×C4×#41C22semidirect
80. C2×C4×#41C22semidirect
81. C22×C4×Q8C22semidirect
83. #2857C22semidirect
85. #2855C22semidirect
88. #2854C22semidirect
89. #2852C22semidirect
90. #2851C22semidirect
93. #2821C22semidirect
94. #2820C22semidirect
95. #2819C22semidirect
96. #2818C22semidirect
97. #2815C22semidirect
98. #2815C22semidirect
99. #2814C22semidirect
100. #2813C22semidirect
103. #2730C22semidirect
104. #2729C22semidirect
105. #2721C22semidirect
107. #2713C22semidirect
111. #2690C22semidirect
113. #2688C22semidirect
123. #2674C22semidirect
129. #2671C22semidirect
133. #2664C22semidirect
134. #2662C22semidirect
135. #2661C22semidirect
136. #2661C22semidirect
137. #2657C22semidirect
138. #2656C22semidirect
139. #2640C22semidirect
140. #2639C22semidirect
142. #2637C22semidirect
143. #2636C22semidirect
144. #2636C22semidirect
146. #2635C22semidirect
148. #2632C22semidirect
149. #2632C22semidirect
151. #2631C22semidirect
152. #2630C22semidirect
153. #2629C22semidirect
154. #2628C22semidirect
155. #2624C22semidirect
156. #2623C22semidirect
159. #2616C22semidirect
162. #2615C22semidirect
163. #2615C22semidirect
164. #2614C22semidirect
165. #2611C22semidirect
166. #2610C22semidirect
167. #2610C22semidirect
168. #2609C22semidirect
169. #2604C22semidirect
170. #2604C22semidirect
173. #2601C22semidirect
175. #2599C22semidirect
176. #2599C22semidirect
178. #2598C22semidirect
180. #2592C22semidirect
181. #2584C22semidirect
182. #2581C22semidirect
183. #2581C22semidirect
188. #2580C22semidirect
189. #2580C22semidirect
190. #2567C22semidirect
191. #2562C22semidirect
193. #2560C22semidirect
194. #2559C22semidirect
195. #2558C22semidirect
196. #2557C22semidirect
197. #2556C22semidirect
198. #2555C22semidirect
199. #2555C22semidirect
200. #2554C22semidirect
202. #2547C22semidirect
205. #2540C22semidirect
207. #2536C22semidirect
208. #2536C22semidirect
213. #2535C22semidirect
214. #2535C22semidirect
215. #2521C22semidirect
216. #2512C22semidirect
217. #2501C22semidirect
218. #2498C22semidirect
224. #2469C22semidirect
225. #2467C22semidirect
226. #2465C22semidirect
227. #2464C22semidirect
228. #2464C22semidirect
229. #2464C22semidirect
230. #2463C22semidirect
231. #2461C22semidirect
232. #2461C22semidirect
233. #2461C22semidirect
234. #2459C22semidirect
235. #2458C22semidirect
236. #2458C22semidirect
237. #2457C22semidirect
238. #2456C22semidirect
239. #2456C22semidirect
240. #2456C22semidirect
241. #2456C22semidirect
242. #2455C22semidirect
243. #2445C22semidirect
244. #2436C22semidirect
245. #2431C22semidirect
246. #2430C22semidirect
247. #2430C22semidirect
248. #2428C22semidirect
249. #2422C22semidirect
250. #2417C22semidirect
253. #2416C22semidirect
254. #2415C22semidirect
257. #2414C22semidirect
262. #2407C22semidirect
263. #2406C22semidirect
271. #2356C22semidirect
272. #2356C22semidirect
275. #2353C22semidirect
276. #2353C22semidirect
277. #2326C22semidirect
278. #2325C22semidirect
281. #2324C22semidirect
282. #2324C22semidirect
283. #2323C22semidirect
284. #2322C22semidirect
286. #2314C22semidirect
288. C4×C22⋊Q8C22semidirect
291. C4×#121C22semidirect
293. #2290C22semidirect
294. #2285C22semidirect
297. #2283C22semidirect
298. #2283C22semidirect
299. C2×#382C22semidirect
300. #2274C22semidirect
474. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34802
C2×#34602
#421542
#421522
#419562
#419542
#413862
#413802
#405072
#405012
#398682
#398452
#383792
#383732
#376182
#375542
#375532
#375502
#372812
#372782
#372732
#372722
#355692
#355672
#352922
#352592
#352582
#352492
#352322
#352102
#351302
#351112
#349632
#349092
#341892