Finite Group Databasebeta

← #7645593

Subgroups — #7645593

Order 512.

7002 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3481C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#42392C212yesmaximal, complemented
4#42391C212yesmaximal, complemented
5#42296C212yesmaximal, complemented
6#42294C212yesmaximal, complemented
7#41960C212yesmaximal, complemented
8#41959C212yesmaximal, complemented
9#41953C212yesmaximal, complemented
10#41952C212yesmaximal, complemented
11#39718C212yesmaximal, complemented
12#39590C212yesmaximal, complemented
13#38914C212yesmaximal, complemented
14#38902C212yesmaximal, complemented
15#38042C212yesmaximal, complemented
16#38040C212yesmaximal, complemented
17#38026C212yesmaximal, complemented
18#38024C212yesmaximal, complemented
19#37619C211yesmaximal, characteristic, complemented
20#37554C211yesmaximal, characteristic, complemented
21#37553C211yesmaximal, characteristic, complemented
22#37551C211yesmaximal, characteristic, complemented
23#37188C214yesmaximal, complemented
24#36712C214yesmaximal, complemented
25#35393C214yesmaximal, complemented
26#35334C211yesmaximal, characteristic, complemented
27#35232C211yesmaximal, characteristic, complemented
28#35210C211yesmaximal, characteristic, complemented
29#35172C211yesmaximal, characteristic, complemented
30#35130C211yesmaximal, characteristic, complemented
31#35111C211yesmaximal, characteristic, complemented
32#34991C214yesmaximal, complemented
33#34963C211yesmaximal, characteristic, complemented
34C2×#2580C211yesmaximal, characteristic, complemented
35#34191C211yesmaximal, characteristic, complemented
36#3481—216no—
37C2×#559C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#553C2211yescharacteristic
41C2×#553C2212yes—
42C2×#553C2211yescharacteristic
43C2×#551C2212yes—
44C2×#551C2212yes—
45C2×#546C2212yes—
46C2×#546C2211yescharacteristic
47C2×#546C2211yescharacteristic
48C2×D42C2211yescharacteristic
49#3461—216no—
50C2×#544C2211yescharacteristic, complemented
51C2×#542C2212yescomplemented
52C2×#542C2211yescharacteristic, complemented
53C2×#542C2211yescharacteristic, complemented
54C2×#541C2212yescomplemented
55C2×#541C2211yescharacteristic, complemented
56C2×#541C2211yescharacteristic, complemented
57C2×#539C2212yes—
58C2×#539C2212yescomplemented
59C2×#537C2211yescharacteristic
60C2×#536C2211yescharacteristic
61C2×#536C2211yescharacteristic, complemented
62C2×#533C2211yescharacteristic, complemented
63C2×#533C2212yescomplemented
64C2×#533C2211yescharacteristic, complemented
65C2×#532C2211yescharacteristic
66C2×#529C2211yescharacteristic
67C2×#529C2212yes—
68C2×#529C2212yes—
69C2×#529C2211yescharacteristic
70C2×#529C2212yescomplemented
71C2×#529C2212yescomplemented
72C2×#529C2211yescharacteristic, complemented
73C2×#529C2211yescharacteristic, complemented
74C2×#525C2212yes—
75C2×#525C2212yes—
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2211yescharacteristic
78C2×C4×#41C2211yescharacteristic, complemented
79C22×C4×Q8C2211yescharacteristic, complemented
80C22×C4×D4C2211yescharacteristic
81C22×C4×D4C2211yescharacteristic
82C22×C4×D4C2212yes—
83#2855C2212yescomplemented
84#2854C2212yes—
85#2852C2214yescomplemented
86#2851C2212yescomplemented
87#2851C2214yescomplemented
88#2850C2212yescomplemented
89#2849C2214yescomplemented
90#2848C2214yescomplemented
91#2821C2212yescomplemented
92#2821C2212yescomplemented
93#2820C2212yescomplemented
94#2819C2212yescomplemented
95#2816C2212yescomplemented
96#2816C2212yescomplemented
97#2814C2212yescomplemented
98#2813C2212yescomplemented
99#2732C2214yescomplemented
100#2731C2214yescomplemented
101#2730C2214yescomplemented
102#2729C2214yescomplemented
103#2727C2214yescomplemented
104#2725C2214yescomplemented
105#2723C2214yescomplemented
106#2721C2214yescomplemented
107#2721C2214yescomplemented
108#2719C2214yescomplemented
109#2714C2214yes—
110#2711C2214yes—
111#2707C2214yescomplemented
112#2705C2214yescomplemented
113#2696C2214yescomplemented
114#2696C2214yescomplemented
115#2695C2214yescomplemented
116#2694C2214yescomplemented
117#2692C2214yescomplemented
118#2691C2214yescomplemented
119#2689C2214yescomplemented
120#2686C2214yescomplemented
121#2685C2214yes—
122#2684C2214yescomplemented
123#2677C2214yescomplemented
124#2676C2214yescomplemented
125#2674C2214yescomplemented
126#2674C2214yescomplemented
127#2672C2214yescomplemented
128#2671C2214yescomplemented
129#2670C2214yes—
130#2668C2214yescomplemented
131#2664C2212yescomplemented
132#2663C2212yescomplemented
133#2663C2212yescomplemented
134#2662C2212yescomplemented
135#2658C2212yescomplemented
136#2656C2212yescomplemented
137#2640C2212yescomplemented
138#2639C2212yescomplemented
139#2638C2212yescomplemented
140#2638C2214yescomplemented
141#2637C2212yescomplemented
142#2636C2212yescomplemented
143#2636C2214yescomplemented
144#2635C2212yescomplemented
145#2633C2214yescomplemented
146#2633C2212yescomplemented
147#2631C2212yescomplemented
148#2630C2214yescomplemented
149#2629C2212yescomplemented
150#2628C2212yescomplemented
151#2628C2212yescomplemented
152#2628C2212yescomplemented
153#2626C2212yescomplemented
154#2626C2212yescomplemented
155#2625C2212yescomplemented
156#2624C2212yes—
157#2624C2212yescomplemented
158#2624C2212yescomplemented
159#2623C2212yescomplemented
160#2620C2212yescomplemented
161#2619C2212yes—
162#2614C2212yescomplemented
163#2611C2214yescomplemented
164#2611C2212yescomplemented
165#2610C2212yescomplemented
166#2609C2214yescomplemented
167#2604C2212yescomplemented
168#2604C2212yescomplemented
169#2603C2214yescomplemented
170#2602C2214yescomplemented
171#2601C2214yescomplemented
172#2599C2214yescomplemented
173#2598C2214yescomplemented
174#2592C2212yescomplemented
175#2592C2212yescomplemented
176#2584C2212yescomplemented
177#2584C2212yescomplemented
178#2581C2212yescomplemented
179#2581C2211yescharacteristic, complemented
180#2581C2211yescharacteristic, complemented
181#2581C2211yescharacteristic, complemented
182#2580C2211yescharacteristic
183#2580C2211yescharacteristic
184#2580C2212yes—
185#2580C2211yescharacteristic
186#2580C2212yes—
187#2580C2212yescomplemented
188#2580C2211yescharacteristic, complemented
189#2580C2211yescharacteristic, complemented
190#2580C2211yescharacteristic, complemented
191#2580C2214yescomplemented
192#2580C2212yescomplemented
193#2580C2212yescomplemented
194#2580C2211yescharacteristic, complemented
195#2580C2211yescharacteristic, complemented
196#2580C2211yescharacteristic, complemented
197#2566C2214yescomplemented
198#2564C2212yescomplemented
199#2564C2214yescomplemented
200#2564C2212yescomplemented
201#2563C2212yescomplemented
202#2561C2212yescomplemented
203#2559C2214yescomplemented
204#2558C2214yescomplemented
205#2556C2214yescomplemented
206#2553C2214yescomplemented
207#2548C2212yes—
208#2546C2212yescomplemented
209#2542C2212yescomplemented
210#2539C2214yes—
211#2539C2212yescomplemented
212#2538C2212yes—
213#2538C2212yescomplemented
214#2536C2211yescharacteristic, complemented
215#2535C2211yescharacteristic
216#2535C2211yescharacteristic, complemented
217#2535C2211yescharacteristic, complemented
218#2534C2214yescomplemented
219#2498C2212yescomplemented
220#2488C2214yescomplemented
221#2487C2212yescomplemented
222#2486C2212yescomplemented
223#2485C2212yescomplemented
224#2482C2212yescomplemented
225#2480C2214yescomplemented
226#2473C2214yescomplemented
227#2472C2214yes—
228#2466C2214yescomplemented
229#2464C2214yescomplemented
230#2463C2214yescomplemented
231#2461C2214yescomplemented
232#2460C2214yescomplemented
233#2455C2214yescomplemented
234#2452C2214yescomplemented
235#2449C2214yescomplemented
236#2449C2214yescomplemented
237#2443C2214yes—
238#2440C2214yescomplemented
239#2437C2214yescomplemented
240#2432C2214yescomplemented
241#2430C2212yescomplemented
242#2430C2214yescomplemented
243#2425C2214yescomplemented
244#2425C2214yescomplemented
245#2424C2214yescomplemented
246#2422C2214yescomplemented
247#2419C2214yes—
248#2418C2214yescomplemented
249#2417C2212yescomplemented
250#2416C2212yes—
251#2416C2212yescomplemented
252#2416C2214yescomplemented
253#2416C2212yescomplemented
254#2415C2212yescomplemented
255#2414C2212yes—
256#2412C2214yescomplemented
257#2410C2214yes—
258#2408C2212yes—
259#2408C2212yes—
260#2407C2212yes—
261#2405C2214yes—
262#2404C2212yescomplemented
263#2398C2212yescomplemented
264#2397C2212yescomplemented
265C2×#399C2212yescomplemented
266C2×#393C2212yescomplemented
267#2355C2212yescomplemented
268#2352C2212yes—
269#2352C2212yescomplemented
270D4×C4⋊C4C2212yescomplemented
271#2346C2212yescomplemented
272#2343C2212yescomplemented
273#2343C2212yescomplemented
274#2339C2212yes—
275#2325C2214yescomplemented
276#2324C2212yes—
277#2324C2212yes—
278#2324C2212yescomplemented
279#2323C2212yescomplemented
280#2322C2214yescomplemented
281#2320C2212yescomplemented
282#2318C2212yes—
283#2318C2212yescomplemented
284#2317C2212yescomplemented
285#2316C2212yescomplemented
286#2311C2212yes—
287#2309C2212yes—
288C4×#121C2212yes—
289C4×#121C2212yescomplemented
290C4×#120C2214yescomplemented
291C2×#390C2212yes—
292C2×#389C2212yescomplemented
293C2×#385C2214yescomplemented
294#2285C2211yescharacteristic, complemented
295#2283C2211yescharacteristic, complemented
296#2283C2211yescharacteristic, complemented
297#2283C2211yescharacteristic, complemented
298C2×#382C2211yescharacteristic, complemented
299C2×#382C2211yescharacteristic, complemented
300#2275C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C23×Q8C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C23×D4C2311yescharacteristic
308C23×D4C2312yes—
309C24×C4C2312yes—
310C24×C4C2312yes—
311#559—28no—
312#554—28no—
313#554—28no—
314#553—28no—
315#553—28no—
316#553—216no—
317#551—216no—
318#551—216no—
319#546—216no—
320#546—28no—
321#546—28no—
322D42—28no—
323#544—28no—
324#542—216no—
325#542—28no—
326#542—28no—
327#541—216no—
328#541—28no—
329#541—28no—
330#539—216no—
331#539—216no—
332#537—28no—
333#536—28no—
334#536—28no—
335#533—216no—
336#533—28no—
337#533—28no—
338#532—28no—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×#127C2311yescharacteristic
348#529—216no—
349#529—216no—
350#529—216no—
351#529—216no—
352#529—28no—
353#529—28no—
354#529—28no—
355#529—28no—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#126C2312yes—
368C2×#125C2311yescharacteristic
369C2×#125C2312yes—
370C2×#125C2311yescharacteristic
371C2×#125C2311yescharacteristic
372C2×#125C2312yes—
373C2×#125C2311yescharacteristic
374C2×#125C2312yes—
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#125C2312yes—
379C2×#125C2312yes—
380C2×#124C2311yescharacteristic
381C2×#124C2312yes—
382C2×#124C2311yescharacteristic
383C2×#124C2311yescharacteristic
384C2×#124C2311yescharacteristic
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2312yes—
388C2×#124C2312yes—
389C2×#124C2314yes—
390#525—216no—
391#525—216no—
392C2×#123C2312yes—
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×#123C2312yes—
408C2×#123C2314yes—
409C2×#123C2314yes—
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⋊Q8C2311yescharacteristic
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×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2314yes—
434C2×C22⋊Q8C2314yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2311yescharacteristic
439C2×#121C2311yescharacteristic
440C2×#121C2311yescharacteristic
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2311yescharacteristic
451C2×#121C2312yes—
452C2×#121C2314yes—
453C2×#121C2312yes—
454C2×#121C2314yes—
455C2×#121C2314yes—
456C2×#120C2312yes—
457C2×#120C2312yes—
458C2×#120C2312yes—
459C2×#120C2312yes—
460C2×#120C2314yes—
461C2×#120C2314yes—
462C4×#41—28no—
463C4×#41—28no—
464C4×#41D4116yescomplemented
465C2×C4×Q8—28no—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2312yes—
477C2×C4×Q8C2311yescharacteristic
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2311yescharacteristic
480C2×C4×D4—216no—
481C2×C4×D4—28no—
482C2×C4×D4—28no—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2311yescharacteristic
508C2×C4×D4C2312yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2314yes—
511C2×C4×D4C2314yes—
512C2×C4×D4C2314yes—
513C2×C4×D4C2311yescharacteristic
514C2×C4×D4C2311yescharacteristic
515C2×C4×D4C2311yescharacteristic
516C2×C4×D4C2311yescharacteristic
517C2×C4×D4C2311yescharacteristic
518C2×C4×D4C2311yescharacteristic
519C2×#117C2312yes—
520C2×#117C2312yes—
521C2×#117C2311yescharacteristic
522C2×#117C2312yes—
523C2×#117C2312yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C2×#117C2312yes—
527C2×#117C2312yes—
528C2×#117C2311yescharacteristic
529C2×#117C2312yes—
530C2×#117C2311yescharacteristic
531C2×#117C2311yescharacteristic
532C2×#117C2311yescharacteristic
533C22×C4⋊C4C2311yescharacteristic
534C22×C4⋊C4C2312yes—
535C22×C4⋊C4C2311yescharacteristic
536C22×C4⋊C4C2312yes—
537C22×C4⋊C4C2311yescharacteristic
538C22×C4⋊C4C2312yes—
539C22×C4⋊C4C2312yes—
540C22×C4⋊C4C2314yes—
541C22×C22⋊C4C2312yes—
542C22×C22⋊C4C2312yes—
543C22×C22⋊C4C2312yes—
544C22×C22⋊C4C2312yes—
545C22×C22⋊C4C2314yes—
546C22×C22⋊C4C2314yes—
547C22×C42C2312yes—
548C22×C42C2312yes—
549C22×C42C2312yes—
550C22×C42C2311yescharacteristic
551C22×C42C2311yescharacteristic
552C22×C42C2311yescharacteristic
553#400C2312yes—
554#400C2312yes—
555#400C2314yes—
556#400C2312yes—
557#400C2314yes—
558#400C2314yes—
559#400C2314yes—
560#399C2312yes—
561#399C2312yes—
562#399C2312yes—
563#399C2312yes—
564#399C2312yes—
565#399C2312yes—
566#399C2314yes—
567#399C2312yes—
568#399C2312yes—
569#399C2314yes—
570#399C2312yes—
571#399C2314yes—
572#399C2314yes—
573#399C2314yes—
574#399C2314yes—
575#399C2314yes—
576#399C2314yes—
577#398C2314yes—
578#398C2314yes—
579#398C2314yes—
580#398C2314yes—
581#398C2314yes—
582#398C2314yes—
583#398C2314yes—
584#398C2314yes—
585#398C2312yes—
586#398C2314yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2314yes—
591#397C2314yes—
592#397C2314yes—
593#397C2314yes—
594#397C2314yes—
595#397C2314yes—
596#397C2314yes—
597#397C2314yes—
598#397C2314yes—
599#397C2314yes—
600#396C2314yes—
601#396C2314yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#396C2314yes—
607#396C2314yes—
608#396C2314yes—
609#396C2314yes—
610#396C2314yes—
611#396C2314yes—
612#395C2312yes—
613#395C2312yes—
614#395C2314yes—
615#395C2314yes—
616#395C2312yes—
617#395C2314yes—
618#395C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2312yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#393C2314yes—
651#393C2314yes—
652#393C2314yes—
653#393C2314yes—
654#393C2314yes—
655#393C2314yes—
656#392C2314yes—
657#392C2312yes—
658#392C2312yes—
659#392C2314yes—
660#392C2314yes—
661#392C2314yes—
662#392C2312yes—
663#392C2314yes—
664#392C2314yes—
665#391C2312yes—
666#391C2312yes—
667#391C2314yes—
668#391C2312yes—
669#391C2314yes—
670#390C2314yes—
671#390C2314yes—
672#390C2312yes—
673#390C2312yes—
674#390C2312yes—
675#390C2312yes—
676#390C2312yes—
677#390C2314yes—
678#390C2314yes—
679#390C2312yes—
680#390C2314yes—
681#390C2312yes—
682#390C2312yes—
683#390C2314yes—
684#390C2314yes—
685#390C2312yes—
686#390C2314yes—
687#390C2314yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2314yes—
693#389C2314yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2314yes—
698#389C2314yes—
699#389C2314yes—
700#389C2314yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2314yes—
706#389C2314yes—
707#389C2312yes—
708#389C2314yes—
709#389C2314yes—
710#389C2314yes—
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#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#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#382C2314yes—
801#382C2312yes—
802#382C2312yes—
803#382C2312yes—
804#382C2311yescharacteristic
805#382C2311yescharacteristic
806#382C2311yescharacteristic
807#382C2312yes—
808#382C2312yes—
809#382C2311yescharacteristic
810#382C2312yes—
811#381C2312yes—
812#381C2314yes—
813#381C2312yes—
814#381C2314yes—
815#381C2312yes—
816#380C2314yes—
817#380C2314yes—
818#380C2314yes—
819#380C2314yes—
820#380C2314yes—
821#380C2314yes—
822#380C2312yes—
823#380C2312yes—
824#380C2312yes—
825#380C2312yes—
826#380C2314yes—
827#380C2312yes—
828#380C2312yes—
829#380C2312yes—
830#380C2312yes—
831#380C2312yes—
832#379C2314yes—
833#379C2314yes—
834#379C2314yes—
835#379C2314yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849#376C2312yes—
850#376C2312yes—
851#376C2312yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C2×#95C2312yes—
855C2×#95C2312yes—
856C2×#95C2314yes—
857C25C2412yes—
858C25C2412yes—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—28no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—42no—
866C2×#41—84no—
867C2×#41C2×D418yes—
868C22×Q8—24no—
869C22×Q8—44no—
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×Q8C2411yescharacteristic
875C22×Q8C2412yes—
876C22×Q8C2412yes—
877C22×Q8C2412yes—
878C22×Q8C2411yescharacteristic
879C22×D4—28no—
880C22×D4—24no—
881C22×D4—24no—
882C22×D4—24no—
883C22×D4—24no—
884C22×D4—42no—
885C22×D4—42no—
886C22×D4—48no—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2411yescharacteristic
895C22×D4C2411yescharacteristic
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2411yescharacteristic
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2411yescharacteristic
909C23×C4—28no—
910C23×C4—28no—
911C23×C4—84no—
912C23×C4—84no—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2414yes—
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2411yescharacteristic
940C4⋊Q8—28no—
941C4⋊Q8—28no—
942C4⋊Q8—24no—
943C4⋊Q8—24no—
944C4⋊Q8—24no—
945C4⋊Q8—24no—
946C4⋊Q8—24no—
947C4⋊Q8—84no—
948#127—24no—
949#126—28no—
950#126—28no—
951#126—28no—
952#126—28no—
953#126—28no—
954#126—28no—
955#126—28no—
956#126—28no—
957#126—28no—
958#126—28no—
959#126—28no—
960#126—28no—
961#125—28no—
962#125—28no—
963#125—28no—
964#125—28no—
965#125—28no—
966#125—28no—
967#125—24no—
968#125—24no—
969#125—24no—
970#125—24no—
971#125—28no—
972#125—28no—
973#124—28no—
974#124—28no—
975#124—28no—
976#124—28no—
977#124—24no—
978#124—24no—
979#124—24no—
980#124—24no—
981#124—28no—
982#124—84no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—28no—
987#123—28no—
988#123—28no—
989#123—28no—
990#123—28no—
991#123—28no—
992#123—28no—
993#123—28no—
994#123—28no—
995#123—28no—
996#123—28no—
997#123—28no—
998#123—28no—
999#123—48no—
1000#123—84no—
1001C22⋊Q8—28no—
1002C22⋊Q8—28no—
1003C22⋊Q8—24no—
1004C22⋊Q8—24no—
1005C22⋊Q8—24no—
1006C22⋊Q8—24no—
1007C22⋊Q8—24no—
1008C22⋊Q8—24no—
1009C22⋊Q8—24no—
1010C22⋊Q8—24no—
1011C22⋊Q8—28no—
1012C22⋊Q8—28no—
1013C22⋊Q8—28no—
1014C22⋊Q8—28no—
1015C22⋊Q8—28no—
1016C22⋊Q8—28no—
1017C22⋊Q8—28no—
1018C22⋊Q8—28no—
1019C22⋊Q8—28no—
1020C22⋊Q8—28no—
1021C22⋊Q8—28no—
1022C22⋊Q8—28no—
1023C22⋊Q8—44no—
1024C22⋊Q8—84no—
1025C22⋊Q8—84no—
1026#121—28no—
1027#121—28no—
1028#121—28no—
1029#121—28no—
1030#121—28no—
1031#121—28no—
1032#121—24no—
1033#121—24no—
1034#121—24no—
1035#121—24no—
1036#121—24no—
1037#121—24no—
1038#121—28no—
1039#121—28no—
1040#121—28no—
1041#121—28no—
1042#121—44no—
1043#121—44no—
1044#121—48no—
1045#121—84no—
1046#121—84no—
1047#120—28no—
1048#120—28no—
1049#120—28no—
1050#120—28no—
1051#120—48no—
1052#120—84no—
1053C4×Q8—28no—
1054C4×Q8—24no—
1055C4×Q8—24no—
1056C4×Q8—28no—
1057C4×Q8—24no—
1058C4×Q8—24no—
1059C4×Q8—24no—
1060C4×Q8—24no—
1061C4×Q8—24no—
1062C4×Q8—24no—
1063C4×Q8—28no—
1064C4×Q8—28no—
1065C4×Q8C2×D418yes—
1066C4×Q8C2×D418yes—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—24no—
1080C4×D4—28no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—24no—
1084C4×D4—24no—
1085C4×D4—24no—
1086C4×D4—24no—
1087C4×D4—28no—
1088C4×D4—28no—
1089C4×D4—24no—
1090C4×D4—24no—
1091C4×D4—24no—
1092C4×D4—24no—
1093C4×D4—24no—
1094C4×D4—48no—
1095C4×D4—84no—
1096C4×D4—84no—
1097C4×D4C2×D418yes—
1098C4×D4C2×D418yes—
1099C4×D4C2×D418yes—
1100C4×D4C2×D418yes—
1101C4×D4C2×D418yes—
1102C4×D4C2×D418yes—
1103#117—24no—
1104#117—24no—
1105#117—28no—
1106#117—28no—
1107#117—28no—
1108#117—28no—
1109#117—28no—
1110#117—28no—
1111#117—28no—
1112#117—28no—
1113#117—44no—
1114#117C2×D418yes—
1115#117C2×D418yes—
1116#117C2×D418yes—
1117C2×C4⋊C4—24no—
1118C2×C4⋊C4—24no—
1119C2×C4⋊C4—24no—
1120C2×C4⋊C4—28no—
1121C2×C4⋊C4—28no—
1122C2×C4⋊C4—44no—
1123C2×C4⋊C4—44no—
1124C2×C4⋊C4—84no—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
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⋊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⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2411yescharacteristic
1189C2×C4⋊C4C2411yescharacteristic
1190C2×C4⋊C4C2411yescharacteristic
1191C2×C4⋊C4C2411yescharacteristic
1192C2×C4⋊C4C2411yescharacteristic
1193C2×C4⋊C4C2411yescharacteristic
1194C2×C22⋊C4—28no—
1195C2×C22⋊C4—28no—
1196C2×C22⋊C4—28no—
1197C2×C22⋊C4—28no—
1198C2×C22⋊C4—48no—
1199C2×C22⋊C4—84no—
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⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1265C2×C22⋊C4C2411yescharacteristic
1266C2×C22⋊C4C2411yescharacteristic
1267C2×C22⋊C4C2411yescharacteristic
1268C2×C22⋊C4C2411yescharacteristic
1269C2×C22⋊C4C2411yescharacteristic
1270C2×C42—28no—
1271C2×C42—28no—
1272C2×C42—28no—
1273C2×C42C2×D418yes—
1274C2×C42C2×D418yes—
1275C2×C42C2×D418yes—
1276C2×C42C2412yes—
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2412yes—
1281C2×C42C2412yes—
1282C2×C42C2412yes—
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2412yes—
1286C2×C42C2414yes—
1287C2×C42C2414yes—
1288C2×C42C2414yes—
1289C2×C42C2414yes—
1290C2×C42C2411yescharacteristic
1291C2×C42C2411yescharacteristic
1292C2×C42C2411yescharacteristic
1293C2×C42C2411yescharacteristic
1294C2×C42C2411yescharacteristic
1295C2×C42C2411yescharacteristic
1296C2×C42C2411yescharacteristic
1297C2×C42C2411yescharacteristic
1298C2×C42C2411yescharacteristic
1299C2×C42C2411yescharacteristic
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2412yes—
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—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340C24—24no—
1341C24—24no—
1342C24—24no—
1343C24—28no—
1344C24—24no—
1345C24—44no—
1346C24—42no—
1347C24—42no—
1348C24—44no—
1349C24—44no—
1350C24C2512yes—
1351C24C2512yes—
1352C24C2512yes—
1353C24C2511yescharacteristic
1354C24C2511yescharacteristic
1355C24C2512yes—
1356C24C2511yescharacteristic
1357#41—416no—
1358#41—416no—
1359#41—416no—
1360#41—816no—
1361C2×Q8—22no—
1362C2×Q8—24no—
1363C2×Q8—22no—
1364C2×Q8—22no—
1365C2×Q8—22no—
1366C2×Q8—24no—
1367C2×Q8—24no—
1368C2×Q8—24no—
1369C2×Q8—22no—
1370C2×Q8—22no—
1371C2×Q8—42no—
1372C2×Q8—42no—
1373C2×Q8—42no—
1374C2×Q8—42no—
1375C2×Q8—42no—
1376C2×Q8—42no—
1377C2×Q8—42no—
1378C2×Q8—42no—
1379C2×Q8—42no—
1380C2×Q8—42no—
1381C2×Q8—44no—
1382C2×Q8—416no—
1383C2×Q8C22×D414yes—
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—24no—
1394C2×D4—24no—
1395C2×D4—28no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—28no—
1401C2×D4—22no—
1402C2×D4—24no—
1403C2×D4—24no—
1404C2×D4—22no—
1405C2×D4—24no—
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—24no—
1409C2×D4—22no—
1410C2×D4—22no—
1411C2×D4—22no—
1412C2×D4—22no—
1413C2×D4—22no—
1414C2×D4—416no—
1415C2×D4—416no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—42no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—42no—
1428C2×D4—44no—
1429C2×D4—42no—
1430C2×D4—42no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—42no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—432no—
1439C2×D4C22×D414yes—
1440C2×D4C22×D414yes—
1441C2×D4C22×D414yes—
1442C2×D42−1+414yes—
1443C22×C4—24no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—28no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—44no—
1486C22×C4—44no—
1487C22×C4—42no—
1488C22×C4—44no—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—816no—
1500C22×C4—816no—
1501C22×C4C22×D414yes—
1502C22×C4C22×D414yes—
1503C22×C4C22×D414yes—
1504C22×C4C22×D414yes—
1505C22×C4C22×D414yes—
1506C22×C4C22×D414yes—
1507C22×C4C22×D414yes—
1508C22×C4C22×D414yes—
1509C22×C4C22×D414yes—
1510C22×C4C2514yes—
1511C22×C4C2514yes—
1512C22×C4C2514yes—
1513C22×C4C2512yes—
1514C22×C4C2514yes—
1515C22×C4C2512yes—
1516C22×C4C2512yes—
1517C22×C4C2512yes—
1518C22×C4C2512yes—
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2512yes—
1522C22×C4C2512yes—
1523C22×C4C2512yes—
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2511yescharacteristic
1527C22×C4C2511yescharacteristic
1528C22×C4C2511yescharacteristic
1529C22×C4C2511yescharacteristic
1530C22×C4C2511yescharacteristic
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2511yescharacteristic
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—22no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—22no—
1554C4⋊C4—24no—
1555C4⋊C4—22no—
1556C4⋊C4—24no—
1557C4⋊C4—22no—
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—24no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—24no—
1582C4⋊C4—24no—
1583C4⋊C4—24no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4—44no—
1592C4⋊C4—44no—
1593C4⋊C4—44no—
1594C4⋊C4—44no—
1595C4⋊C4—44no—
1596C4⋊C4—44no—
1597C4⋊C4—44no—
1598C4⋊C4—44no—
1599C4⋊C4—44no—
1600C4⋊C4—44no—
1601C4⋊C4C22×D414yes—
1602C4⋊C4C22×D414yes—
1603C4⋊C4C22×D414yes—
1604C4⋊C4C22×D414yes—
1605C4⋊C4C22×D414yes—
1606C4⋊C4C22×D414yes—
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—24no—
1616C22⋊C4—24no—
1617C22⋊C4—28no—
1618C22⋊C4—28no—
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—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—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
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—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4C22×D414yes—
1672C22⋊C4C22×D414yes—
1673C22⋊C4C22×D414yes—
1674C22⋊C4C22×D414yes—
1675C22⋊C4C22×D414yes—
1676C22⋊C4C22×D414yes—
1677C42—24no—
1678C42—24no—
1679C42—24no—
1680C42—24no—
1681C42—24no—
1682C42—24no—
1683C42—24no—
1684C42—24no—
1685C42—24no—
1686C42—24no—
1687C42—44no—
1688C42—44no—
1689C42—44no—
1690C42—44no—
1691C42C22×D414yes—
1692C42C22×D414yes—
1693C42C22×D414yes—
1694C42C22×D414yes—
1695C42C22×D414yes—
1696C42C22×D414yes—
1697C42C22×D414yes—
1698C42C22×D414yes—
1699C42C22×D414yes—
1700C42C22×D414yes—
1701C23—21no—
1702C23—21no—
1703C23—22no—
1704C23—22no—
1705C23—21no—
1706C23—21no—
1707C23—21no—
1708C23—24no—
1709C23—22no—
1710C23—21no—
1711C23—22no—
1712C23—22no—
1713C23—24no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—24no—
1723C23—24no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—24no—
1731C23—24no—
1732C23—22no—
1733C23—48no—
1734C23—48no—
1735C23—416no—
1736C23—48no—
1737C23—48no—
1738C23—84no—
1739C23—84no—
1740C23—88no—
1741C23—88no—
1742C23—88no—
1743C23C23×D412yes—
1744C23C23×D412yes—
1745C23C23×D412yes—
1746C23C2×2−1+414yes—
1747C23#58514yes—
1748C23C2611yescharacteristic
1749Q8—44no—
1750Q8—44no—
1751Q8—44no—
1752Q8—48no—
1753Q8—44no—
1754Q8—44no—
1755Q8—84no—
1756Q8—84no—
1757Q8—84no—
1758D4—28no—
1759D4—28no—
1760D4—28no—
1761D4—44no—
1762D4—48no—
1763D4—48no—
1764D4—48no—
1765D4—44no—
1766D4—48no—
1767D4—48no—
1768D4—48no—
1769D4—48no—
1770D4—44no—
1771D4—44no—
1772D4—84no—
1773D4—84no—
1774D4—84no—
1775D4—88no—
1776D4—84no—
1777D4—84no—
1778D4—88no—
1779D4—164no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—28no—
1795C2×C4—28no—
1796C2×C4—28no—
1797C2×C4—28no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—24no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—24no—
1815C2×C4—24no—
1816C2×C4—24no—
1817C2×C4—24no—
1818C2×C4—24no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—24no—
1828C2×C4—24no—
1829C2×C4—24no—
1830C2×C4—24no—
1831C2×C4—24no—
1832C2×C4—22no—
1833C2×C4—24no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—24no—
1839C2×C4—24no—
1840C2×C4—24no—
1841C2×C4—22no—
1842C2×C4—44no—
1843C2×C4—44no—
1844C2×C4—44no—
1845C2×C4—44no—
1846C2×C4—44no—
1847C2×C4—48no—
1848C2×C4—48no—
1849C2×C4—48no—
1850C2×C4—48no—
1851C2×C4—48no—
1852C2×C4—48no—
1853C2×C4—48no—
1854C2×C4—48no—
1855C2×C4—84no—
1856C2×C4—84no—
1857C2×C4—84no—
1858C2×C4—84no—
1859C2×C4—84no—
1860C2×C4—84no—
1861C2×C4—88no—
1862C2×C4—84no—
1863C2×C4—84no—
1864C2×C4—164no—
1865C2×C4C23×D412yes—
1866C2×C4C23×D412yes—
1867C2×C4C23×D412yes—
1868C2×C4C23×D412yes—
1869C2×C4C23×D412yes—
1870C2×C4C23×D412yes—
1871C2×C4C23×D412yes—
1872C2×C4C23×D412yes—
1873C2×C4C23×D412yes—
1874C2×C4C23×D412yes—
1875C2×C4C23×D412yes—
1876C2×C4C23×D412yes—
1877C2×C4C2×2−1+412yes—
1878C2×C4#58512yes—
1879C22—22no—
1880C22—22no—
1881C22—24no—
1882C22—24no—
1883C22—22no—
1884C22—22no—
1885C22—24no—
1886C22—22no—
1887C22—22no—
1888C22—22no—
1889C22—22no—
1890C22—28no—
1891C22—42no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—44no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—44no—
1910C22—44no—
1911C22—42no—
1912C22—44no—
1913C22—42no—
1914C22—44no—
1915C22—816no—
1916C22—816no—
1917C22#344914yes—
1918C22C24×D411yescharacteristic
1919C22C22×2−1+411yescharacteristic
1920C22C2×#58511yescharacteristic
1921C22C2×#58512yes—
1922C22H(7,𝔽2)12yes—
1923C4—22no—
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—22no—
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—42no—
1935C4—42no—
1936C4—42no—
1937C4—42no—
1938C4—42no—
1939C4—42no—
1940C4—42no—
1941C4—42no—
1942C4—42no—
1943C4—42no—
1944C4—42no—
1945C4—42no—
1946C4—44no—
1947C4—44no—
1948C4—44no—
1949C4—44no—
1950C4#348914yes—
1951C2—24no—
1952C2—42no—
1953C2—42no—
1954C2—44no—
1955C2—82no—
1956C2—82no—
1957C2—82no—
1958C2C2×#344911yescharacteristic
1959C2C2×#348911yescharacteristic
1960C2#6285211yescharacteristic
1961C2#6294812yes—
1962C2#6296512yes—
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×#3481C2semidirect
2. C2×#3461C2semidirect
3. #42392C2semidirect
4. #42391C2semidirect
5. #42296C2semidirect
6. #42294C2semidirect
7. #41960C2semidirect
8. #41959C2semidirect
9. #41953C2semidirect
10. #41952C2semidirect
11. #39718C2semidirect
12. #39590C2semidirect
13. #38914C2semidirect
14. #38902C2semidirect
15. #38042C2semidirect
16. #38040C2semidirect
17. #38026C2semidirect
18. #38024C2semidirect
19. #37619C2semidirect
20. #37554C2semidirect
21. #37553C2semidirect
22. #37551C2semidirect
23. #37188C2semidirect
24. #36712C2semidirect
25. #35393C2semidirect
26. #35334C2semidirect
27. #35232C2semidirect
28. #35210C2semidirect
29. #35172C2semidirect
30. #35130C2semidirect
31. #35111C2semidirect
32. #34991C2semidirect
33. #34963C2semidirect
34. C2×#2580C2semidirect
35. #34191C2semidirect
50. C2×#544C22semidirect
51. C2×#542C22semidirect
52. C2×#542C22semidirect
53. C2×#542C22semidirect
54. C2×#541C22semidirect
55. C2×#541C22semidirect
56. C2×#541C22semidirect
58. C2×#539C22semidirect
61. C2×#536C22semidirect
62. C2×#533C22semidirect
63. C2×#533C22semidirect
64. C2×#533C22semidirect
70. C2×#529C22semidirect
71. C2×#529C22semidirect
72. C2×#529C22semidirect
73. C2×#529C22semidirect
78. C2×C4×#41C22semidirect
79. C22×C4×Q8C22semidirect
83. #2855C22semidirect
85. #2852C22semidirect
86. #2851C22semidirect
87. #2851C22semidirect
88. #2850C22semidirect
89. #2849C22semidirect
90. #2848C22semidirect
91. #2821C22semidirect
92. #2821C22semidirect
93. #2820C22semidirect
94. #2819C22semidirect
95. #2816C22semidirect
96. #2816C22semidirect
97. #2814C22semidirect
98. #2813C22semidirect
99. #2732C22semidirect
100. #2731C22semidirect
101. #2730C22semidirect
102. #2729C22semidirect
103. #2727C22semidirect
104. #2725C22semidirect
105. #2723C22semidirect
106. #2721C22semidirect
107. #2721C22semidirect
108. #2719C22semidirect
111. #2707C22semidirect
112. #2705C22semidirect
113. #2696C22semidirect
114. #2696C22semidirect
115. #2695C22semidirect
116. #2694C22semidirect
117. #2692C22semidirect
118. #2691C22semidirect
119. #2689C22semidirect
120. #2686C22semidirect
122. #2684C22semidirect
123. #2677C22semidirect
124. #2676C22semidirect
125. #2674C22semidirect
126. #2674C22semidirect
127. #2672C22semidirect
128. #2671C22semidirect
130. #2668C22semidirect
131. #2664C22semidirect
132. #2663C22semidirect
133. #2663C22semidirect
134. #2662C22semidirect
135. #2658C22semidirect
136. #2656C22semidirect
137. #2640C22semidirect
138. #2639C22semidirect
139. #2638C22semidirect
140. #2638C22semidirect
141. #2637C22semidirect
142. #2636C22semidirect
143. #2636C22semidirect
144. #2635C22semidirect
145. #2633C22semidirect
146. #2633C22semidirect
147. #2631C22semidirect
148. #2630C22semidirect
149. #2629C22semidirect
150. #2628C22semidirect
151. #2628C22semidirect
152. #2628C22semidirect
153. #2626C22semidirect
154. #2626C22semidirect
155. #2625C22semidirect
157. #2624C22semidirect
158. #2624C22semidirect
159. #2623C22semidirect
160. #2620C22semidirect
162. #2614C22semidirect
163. #2611C22semidirect
164. #2611C22semidirect
165. #2610C22semidirect
166. #2609C22semidirect
167. #2604C22semidirect
168. #2604C22semidirect
169. #2603C22semidirect
170. #2602C22semidirect
171. #2601C22semidirect
172. #2599C22semidirect
173. #2598C22semidirect
174. #2592C22semidirect
175. #2592C22semidirect
176. #2584C22semidirect
177. #2584C22semidirect
178. #2581C22semidirect
179. #2581C22semidirect
180. #2581C22semidirect
181. #2581C22semidirect
187. #2580C22semidirect
188. #2580C22semidirect
189. #2580C22semidirect
190. #2580C22semidirect
191. #2580C22semidirect
192. #2580C22semidirect
193. #2580C22semidirect
194. #2580C22semidirect
195. #2580C22semidirect
196. #2580C22semidirect
197. #2566C22semidirect
198. #2564C22semidirect
199. #2564C22semidirect
200. #2564C22semidirect
201. #2563C22semidirect
202. #2561C22semidirect
203. #2559C22semidirect
204. #2558C22semidirect
205. #2556C22semidirect
206. #2553C22semidirect
208. #2546C22semidirect
209. #2542C22semidirect
211. #2539C22semidirect
213. #2538C22semidirect
214. #2536C22semidirect
216. #2535C22semidirect
217. #2535C22semidirect
218. #2534C22semidirect
219. #2498C22semidirect
220. #2488C22semidirect
221. #2487C22semidirect
222. #2486C22semidirect
223. #2485C22semidirect
224. #2482C22semidirect
225. #2480C22semidirect
226. #2473C22semidirect
228. #2466C22semidirect
229. #2464C22semidirect
230. #2463C22semidirect
231. #2461C22semidirect
232. #2460C22semidirect
233. #2455C22semidirect
234. #2452C22semidirect
235. #2449C22semidirect
236. #2449C22semidirect
238. #2440C22semidirect
239. #2437C22semidirect
240. #2432C22semidirect
241. #2430C22semidirect
242. #2430C22semidirect
243. #2425C22semidirect
244. #2425C22semidirect
245. #2424C22semidirect
246. #2422C22semidirect
248. #2418C22semidirect
249. #2417C22semidirect
251. #2416C22semidirect
252. #2416C22semidirect
253. #2416C22semidirect
254. #2415C22semidirect
256. #2412C22semidirect
262. #2404C22semidirect
263. #2398C22semidirect
264. #2397C22semidirect
265. C2×#399C22semidirect
266. C2×#393C22semidirect
267. #2355C22semidirect
269. #2352C22semidirect
270. D4×C4⋊C4C22semidirect
271. #2346C22semidirect
272. #2343C22semidirect
273. #2343C22semidirect
275. #2325C22semidirect
278. #2324C22semidirect
279. #2323C22semidirect
280. #2322C22semidirect
281. #2320C22semidirect
283. #2318C22semidirect
284. #2317C22semidirect
285. #2316C22semidirect
289. C4×#121C22semidirect
290. C4×#120C22semidirect
292. C2×#389C22semidirect
293. C2×#385C22semidirect
294. #2285C22semidirect
295. #2283C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
298. C2×#382C22semidirect
299. C2×#382C22semidirect
300. #2275C22semidirect
464. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34812
C2×#34612
#423922
#423912
#422962
#422942
#419602
#419592
#419532
#419522
#397182
#395902
#389142
#389022
#380422
#380402
#380262
#380242
#376192
#375542
#375532
#375512
#371882
#367122
#353932
#353342
#352322
#352102
#351722
#351302
#351112
#349912
#349632
C2×#25802
#341912