Finite Group Databasebeta

← #7653296

Subgroups — #7653296

Order 512.

7310 conjugacy classes of subgroups.

The subgroup lattice has 1913 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3513C211yesmaximal, characteristic
2C22×#554C211yesmaximal, characteristic, complemented
3#42442C212yesmaximal, complemented
4#42439C212yesmaximal, complemented
5#40516C214yesmaximal, complemented
6#40513C214yesmaximal, complemented
7#39952C212yesmaximal, complemented
8#39949C212yesmaximal, complemented
9#39465C211yesmaximal, characteristic, complemented
10#39337C211yesmaximal, characteristic, complemented
11#38919C211yesmaximal, characteristic, complemented
12#38907C211yesmaximal, characteristic, complemented
13#38422C214yesmaximal, complemented
14#38421C214yesmaximal, complemented
15#38037C212yesmaximal, complemented
16#38021C212yesmaximal, complemented
17#37835C212yesmaximal, complemented
18#37647C212yesmaximal, complemented
19#37549C211yesmaximal, characteristic, complemented
20#37441C212yesmaximal, complemented
21#36261C212yesmaximal, complemented
22#36238C212yesmaximal, complemented
23#36237C211yesmaximal, characteristic, complemented
24#36236C211yesmaximal, characteristic, complemented
25#36155C211yesmaximal, characteristic, complemented
26D4×#123C211yesmaximal, characteristic, complemented
27#35806C212yesmaximal, complemented
28#35776C212yesmaximal, complemented
29#35306C212yesmaximal, complemented
30#35247C211yesmaximal, characteristic, complemented
31#35139C211yesmaximal, characteristic, complemented
32#35057C212yesmaximal, complemented
33#34972C211yesmaximal, characteristic, complemented
34C2×#2413C212yesmaximal, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36#3513—216no—
37C2×#559C2211yescharacteristic
38C2×#554—216no—
39C2×#554C2211yescharacteristic
40C2×#554C2212yes—
41C2×#554C2212yes—
42C2×#554C2212yescomplemented
43C2×#554C2214yescomplemented
44C2×#554C2214yescomplemented
45C2×#554C2212yescomplemented
46C2×#553C2211yescharacteristic
47C2×#553C2212yes—
48C2×#552C2211yescharacteristic
49C2×#551C2212yes—
50C2×#551C2212yes—
51C2×#547C2211yescharacteristic
52C2×#546C2212yes—
53C2×#546C2211yescharacteristic
54C2×#546C2211yescharacteristic
55C2×D42C2211yescharacteristic
56C2×#542C2211yescharacteristic
57C2×#540C2211yescharacteristic
58C2×#539C2212yes—
59C2×#538C2212yes—
60C2×#536C2212yescomplemented
61C22×C4⋊Q8C2211yescharacteristic, complemented
62C2×#529C2211yescharacteristic
63C2×#529C2211yescharacteristic
64C22×#125C2211yescharacteristic, complemented
65C22×#125C2211yescharacteristic, complemented
66C2×#525C2212yes—
67C22×#123C2212yes—
68C22×#123C2212yes—
69C22×C22⋊Q8C2212yescomplemented
70C22×C22⋊Q8C2212yescomplemented
71C22×C22⋊Q8C2212yescomplemented
72C2×#520C2211yescharacteristic
73C2×#518C2211yescharacteristic
74C22×C4×Q8C2211yescharacteristic, complemented
75C22×C4×D4C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77C22×C4×D4C2211yescharacteristic
78C22×#117C2212yescomplemented
79C23×C4⋊C4C2212yescomplemented
80#2861C2212yescomplemented
81#2859C2212yescomplemented
82#2857C2214yescomplemented
83#2855C2211yescharacteristic, complemented
84#2855C2211yescharacteristic, complemented
85#2854C2211yescharacteristic
86#2854C2211yescharacteristic
87#2850C2214yescomplemented
88#2849C2212yes—
89#2849C2212yes—
90#2849C2212yescomplemented
91#2849C2212yescomplemented
92#2822C2212yescomplemented
93#2820C2212yescomplemented
94#2814C2214yescomplemented
95#2814C2214yescomplemented
96#2721C2214yescomplemented
97#2719C2214yescomplemented
98#2716C2214yescomplemented
99#2713C2214yescomplemented
100#2700C2214yescomplemented
101#2700C2214yescomplemented
102#2698C2214yescomplemented
103#2698C2214yescomplemented
104#2694C2214yescomplemented
105#2690C2214yescomplemented
106#2689C2214yescomplemented
107#2689C2214yescomplemented
108#2687C2214yescomplemented
109#2687C2214yescomplemented
110#2681C2214yescomplemented
111#2681C2214yescomplemented
112#2680C2214yescomplemented
113#2680C2214yescomplemented
114#2677C2214yescomplemented
115#2674C2214yescomplemented
116#2674C2214yescomplemented
117#2674C2214yescomplemented
118#2672C2214yescomplemented
119#2672C2214yescomplemented
120#2664C2212yescomplemented
121#2664C2212yescomplemented
122#2664C2214yescomplemented
123#2663C2214yescomplemented
124#2663C2214yescomplemented
125#2637C2214yescomplemented
126#2629C2212yescomplemented
127#2629C2212yescomplemented
128#2627C2214yescomplemented
129#2627C2214yescomplemented
130#2627C2212yescomplemented
131#2626C2214yescomplemented
132#2623C2212yes—
133#2623C2212yescomplemented
134#2621C2214yescomplemented
135#2620C2214yescomplemented
136#2618C2212yes—
137#2618C2214yescomplemented
138#2614C2212yes—
139#2614C2212yescomplemented
140#2611C2214yescomplemented
141#2604C2212yescomplemented
142#2604C2212yescomplemented
143#2592C2212yescomplemented
144#2591C2214yescomplemented
145#2584C2212yescomplemented
146#2584C2212yescomplemented
147#2583C2214yescomplemented
148#2583C2214yescomplemented
149#2582C2212yescomplemented
150#2579C2214yescomplemented
151#2579C2214yescomplemented
152#2566C2212yescomplemented
153#2565C2212yescomplemented
154#2565C2212yescomplemented
155#2562C2212yescomplemented
156#2561C2214yescomplemented
157#2552C2212yescomplemented
158#2551C2212yescomplemented
159#2550C2212yescomplemented
160#2550C2212yescomplemented
161#2549C2214yescomplemented
162#2549C2214yescomplemented
163#2545C2212yescomplemented
164#2538C2212yescomplemented
165#2504C2211yescharacteristic
166#2503C2211yescharacteristic, complemented
167#2503C2211yescharacteristic, complemented
168#2502C2211yescharacteristic, complemented
169#2501C2211yescharacteristic
170#2501C2211yescharacteristic
171#2492C2212yescomplemented
172#2491C2212yescomplemented
173#2490C2212yescomplemented
174#2489C2212yescomplemented
175#2488C2214yescomplemented
176#2488C2214yescomplemented
177#2487C2211yescharacteristic
178#2487C2211yescharacteristic, complemented
179#2486C2211yescharacteristic
180#2486C2212yescomplemented
181#2486C2211yescharacteristic, complemented
182#2484C2212yescomplemented
183#2484C2212yescomplemented
184#2483C2212yescomplemented
185#2483C2212yescomplemented
186#2472C2214yescomplemented
187#2472C2214yescomplemented
188#2454C2212yescomplemented
189#2453C2212yescomplemented
190#2452C2212yescomplemented
191#2451C2212yescomplemented
192#2450C2214yescomplemented
193#2450C2214yescomplemented
194#2449C2214yescomplemented
195#2449C2214yescomplemented
196#2447C2212yescomplemented
197#2447C2212yescomplemented
198#2445C2212yes—
199#2445C2212yes—
200#2444C2214yes—
201#2444C2214yescomplemented
202#2443C2214yes—
203#2443C2214yescomplemented
204#2442C2212yescomplemented
205#2441C2212yescomplemented
206#2440C2214yescomplemented
207#2440C2212yescomplemented
208#2440C2214yescomplemented
209#2439C2212yescomplemented
210#2438C2214yescomplemented
211#2438C2214yescomplemented
212#2437C2214yescomplemented
213#2437C2214yescomplemented
214#2436C2211yescharacteristic
215#2434C2211yescharacteristic, complemented
216#2422C2212yes—
217#2422C2212yescomplemented
218#2420C2212yes—
219#2420C2212yescomplemented
220#2419C2214yescomplemented
221#2419C2214yescomplemented
222#2418C2214yes—
223#2418C2214yes—
224#2417C2214yescomplemented
225#2417C2214yescomplemented
226#2415C2214yescomplemented
227#2415C2214yescomplemented
228#2413C2212yes—
229#2413C2212yes—
230#2413C2211yescharacteristic
231#2413C2212yes—
232#2413C2211yescharacteristic
233#2413C2214yescomplemented
234#2413C2214yescomplemented
235#2413C2212yescomplemented
236#2413C2212yescomplemented
237#2413C2214yescomplemented
238#2413C2212yescomplemented
239#2413C2214yescomplemented
240#2413C2212yescomplemented
241#2413C2211yescharacteristic, complemented
242#2413C2211yescharacteristic, complemented
243#2413C2212yescomplemented
244#2413C2212yescomplemented
245#2413C2212yescomplemented
246#2412C2212yes—
247#2412C2212yes—
248#2412C2212yescomplemented
249#2412C2212yescomplemented
250#2409C2212yescomplemented
251#2406C2212yescomplemented
252#2406C2212yescomplemented
253#2405C2212yes—
254#2405C2212yes—
255#2396C2212yescomplemented
256#2396C2212yescomplemented
257C2×#398C2214yescomplemented
258C2×#396C2214yescomplemented
259#2354C2212yescomplemented
260#2352C2214yescomplemented
261#2349C2212yes—
262#2349C2212yes—
263D4×C4⋊C4C2212yes—
264D4×C4⋊C4C2212yes—
265D4×C4⋊C4C2212yes—
266#2344C2211yescharacteristic, complemented
267#2344C2211yescharacteristic, complemented
268#2342C2212yescomplemented
269#2342C2212yescomplemented
270#2339C2212yes—
271#2339C2212yes—
272D4×C22⋊C4C2211yescharacteristic
273D4×C22⋊C4C2211yescharacteristic
274D4×C22⋊C4C2212yes—
275D4×C22⋊C4C2212yes—
276#2323C2214yescomplemented
277#2322C2214yescomplemented
278#2322C2212yescomplemented
279#2322C2214yescomplemented
280#2322C2212yescomplemented
281#2317C2212yescomplemented
282#2311C2212yescomplemented
283#2310C2212yescomplemented
284C4×C4⋊Q8C2212yescomplemented
285C4×#124C2212yescomplemented
286C4×#123C2211yescharacteristic
287C4×#123C2211yescharacteristic
288C4×#123C2211yescharacteristic, complemented
289C4×#123C2211yescharacteristic, complemented
290#2293C2212yescomplemented
291C2×#389C2214yescomplemented
292#2290C2214yescomplemented
293C2×#388C2214yescomplemented
294C2×#386C2212yes—
295C2×#385C2212yescomplemented
296#2285C2211yescharacteristic, complemented
297#2280C2212yescomplemented
298C2×#381C2212yescomplemented
299C42×D4C2212yes—
300C4×#117C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×Q8C2312yes—
304C23×Q8C2311yescharacteristic
305C23×D4C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C24×C4C2312yes—
309C24×C4C2312yes—
310C24×C4C2312yes—
311#559—28no—
312#554—216no—
313#554—216no—
314#554—232no—
315#554—216no—
316#554—232no—
317#554—216no—
318#554—28no—
319#553—216no—
320#553—28no—
321#552—28no—
322#551—216no—
323#551—216no—
324#547—28no—
325#546—28no—
326#546—28no—
327#546—216no—
328D42—28no—
329#542—28no—
330#540—28no—
331#539—216no—
332#538—216no—
333#536—48no—
334C2×C4⋊Q8—28no—
335C2×C4⋊Q8C2314yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2314yes—
341C2×#127C2311yescharacteristic
342#529—28no—
343#529—28no—
344C2×#126C2311yescharacteristic
345C2×#126C2311yescharacteristic
346C2×#126C2312yes—
347C2×#126C2312yes—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#125—28no—
351C2×#125—28no—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2311yescharacteristic
355C2×#125C2312yes—
356C2×#125C2311yescharacteristic
357C2×#125C2312yes—
358C2×#125C2314yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2311yescharacteristic
363C2×#124C2311yescharacteristic
364C2×#124C2311yescharacteristic
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2311yescharacteristic
368C2×#124C2314yes—
369C2×#124C2312yes—
370#525—216no—
371C2×#123—216no—
372C2×#123—48no—
373C2×#123C2312yes—
374C2×#123C2312yes—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2311yescharacteristic
379C2×#123C2311yescharacteristic
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2311yescharacteristic
384C2×#123C2311yescharacteristic
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2311yescharacteristic
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2311yescharacteristic
398C2×#123C2312yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×C22⋊Q8—216no—
402C2×C22⋊Q8—216no—
403C2×C22⋊Q8—216no—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2314yes—
425C2×C22⋊Q8C2314yes—
426C2×C22⋊Q8C2314yes—
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2311yescharacteristic
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#120C2312yes—
439C2×#120C2312yes—
440C2×#120C2312yes—
441C2×#120C2312yes—
442#520—28no—
443#518—28no—
444C2×C4×Q8—28no—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×D4—28no—
453C2×C4×D4—28no—
454C2×C4×D4D4116yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2314yes—
469C2×C4×D4C2314yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×#117—48no—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2311yescharacteristic
488C2×#117C2311yescharacteristic
489C2×#117C2311yescharacteristic
490C2×#117C2311yescharacteristic
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2314yes—
494C2×#117C2312yes—
495C2×#117C2314yes—
496C2×#117C2311yescharacteristic
497C22×C4⋊C4—216no—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2314yes—
501C22×C4⋊C4C2314yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2314yes—
504C22×C4⋊C4C2314yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2311yescharacteristic
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2311yescharacteristic
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2311yescharacteristic
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2314yes—
516C22×C4⋊C4C2314yes—
517C22×C4⋊C4C2314yes—
518C22×C4⋊C4C2311yescharacteristic
519C22×C22⋊C4C2312yes—
520C22×C22⋊C4C2312yes—
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2312yes—
523C22×C22⋊C4C2312yes—
524C22×C22⋊C4C2312yes—
525C22×C22⋊C4C2312yes—
526C22×C22⋊C4C2312yes—
527C22×C22⋊C4C2314yes—
528C22×C22⋊C4C2314yes—
529C22×C22⋊C4C2312yes—
530C22×C42C2311yescharacteristic
531C22×C42C2311yescharacteristic
532C22×C42C2314yes—
533C22×C42C2311yescharacteristic
534#400C2314yes—
535#400C2312yes—
536#400C2312yes—
537#400C2314yes—
538#400C2314yes—
539#400C2312yes—
540#400C2312yes—
541#400C2314yes—
542#400C2314yes—
543#400C2314yes—
544#399C2312yes—
545#399C2312yes—
546#399C2312yes—
547#399C2312yes—
548#399C2314yes—
549#399C2314yes—
550#399C2314yes—
551#398C2312yes—
552#398C2314yes—
553#398C2312yes—
554#398C2314yes—
555#398C2312yes—
556#398C2312yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#398C2312yes—
561#398C2312yes—
562#398C2314yes—
563#398C2314yes—
564#398C2314yes—
565#398C2314yes—
566#398C2314yes—
567#398C2314yes—
568#398C2314yes—
569#398C2314yes—
570#398C2314yes—
571#398C2314yes—
572#398C2314yes—
573#398C2314yes—
574#398C2314yes—
575#398C2314yes—
576#397C2314yes—
577#397C2314yes—
578#397C2312yes—
579#397C2312yes—
580#397C2314yes—
581#397C2314yes—
582#397C2314yes—
583#397C2314yes—
584#397C2314yes—
585#397C2314yes—
586#397C2314yes—
587#397C2314yes—
588#397C2314yes—
589#397C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#396C2312yes—
595#396C2314yes—
596#396C2314yes—
597#396C2314yes—
598#396C2312yes—
599#396C2314yes—
600#396C2312yes—
601#396C2312yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#395C2314yes—
607#395C2314yes—
608#395C2314yes—
609#395C2314yes—
610#395C2314yes—
611#395C2314yes—
612#395C2312yes—
613#395C2312yes—
614#395C2314yes—
615#395C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#393C2314yes—
628#393C2314yes—
629#393C2314yes—
630#393C2312yes—
631#393C2312yes—
632#393C2314yes—
633#393C2314yes—
634#391C2312yes—
635#391C2312yes—
636#391C2312yes—
637#391C2312yes—
638#391C2312yes—
639#391C2314yes—
640#391C2314yes—
641#391C2314yes—
642#391C2314yes—
643#391C2314yes—
644#391C2314yes—
645#391C2312yes—
646#391C2312yes—
647#390C2312yes—
648#390C2312yes—
649#390C2314yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#389C2314yes—
664#389C2314yes—
665#389C2314yes—
666#389C2314yes—
667#389C2314yes—
668#389C2312yes—
669#389C2312yes—
670#389C2314yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2314yes—
680#389C2314yes—
681#389C2314yes—
682#389C2314yes—
683#389C2314yes—
684#388C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2312yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2312yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2312yes—
713#387C2312yes—
714#387C2312yes—
715#387C2312yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#386C2311yescharacteristic
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2314yes—
729#386C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2312yes—
736#386C2311yescharacteristic
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2311yescharacteristic
745#386C2311yescharacteristic
746#386C2314yes—
747#386C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2311yescharacteristic
751#385C2312yes—
752#385C2312yes—
753#385C2312yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2312yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2311yescharacteristic
770#385C2312yes—
771#385C2314yes—
772#385C2314yes—
773#385C2311yescharacteristic
774#385C2312yes—
775#385C2311yescharacteristic
776#385C2314yes—
777#385C2314yes—
778#384C2312yes—
779#384C2312yes—
780#384C2312yes—
781#384C2314yes—
782#384C2312yes—
783#382C2312yes—
784#382C2312yes—
785#382C2312yes—
786#382C2312yes—
787#382C2314yes—
788#381C2314yes—
789#381C2314yes—
790#381C2311yescharacteristic
791#381C2312yes—
792#381C2312yes—
793#381C2312yes—
794#381C2314yes—
795#381C2312yes—
796#381C2314yes—
797#381C2311yescharacteristic
798#381C2312yes—
799#381C2312yes—
800#381C2312yes—
801#381C2311yescharacteristic
802#381C2312yes—
803#381C2311yescharacteristic
804#381C2314yes—
805#381C2314yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2314yes—
811#380C2314yes—
812#380C2314yes—
813#380C2314yes—
814#380C2311yescharacteristic
815#380C2311yescharacteristic
816#380C2312yes—
817#380C2314yes—
818#380C2314yes—
819#380C2314yes—
820#380C2314yes—
821#380C2314yes—
822#379C2314yes—
823#379C2314yes—
824#379C2312yes—
825#379C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848#376C2312yes—
849C2×#95C2314yes—
850C2×#95C2314yes—
851C2×#95C2314yes—
852C2×#95C2314yes—
853C43C2312yes—
854C25C2412yes—
855C25C2412yes—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—44no—
860C2×#41—44no—
861C22×Q8—24no—
862C22×Q8—28no—
863C22×Q8—44no—
864C22×Q8—44no—
865C22×Q8—44no—
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2414yes—
871C22×Q8C2414yes—
872C22×Q8C2412yes—
873C22×D4—28no—
874C22×D4—28no—
875C22×D4—24no—
876C22×D4—28no—
877C22×D4—44no—
878C22×D4—44no—
879C22×D4C2×D418yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2411yescharacteristic
895C23×C4—28no—
896C23×C4—28no—
897C23×C4—48no—
898C23×C4—44no—
899C23×C4—44no—
900C23×C4—44no—
901C23×C4—44no—
902C23×C4C2×D4116yes—
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2414yes—
911C23×C4C2414yes—
912C23×C4C2414yes—
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2411yescharacteristic
918C23×C4C2414yes—
919C23×C4C2412yes—
920C23×C4C2414yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2414yes—
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C4⋊Q8—28no—
932C4⋊Q8—28no—
933C4⋊Q8—216no—
934C4⋊Q8—24no—
935C4⋊Q8—48no—
936C4⋊Q8—44no—
937#127—24no—
938#126—28no—
939#126—28no—
940#126—28no—
941#126—28no—
942#126—24no—
943#126—24no—
944#125—28no—
945#125—28no—
946#125—216no—
947#125—28no—
948#125—24no—
949#125—28no—
950#125—28no—
951#125—28no—
952#125—28no—
953#125—24no—
954#125—24no—
955#124—24no—
956#124—28no—
957#124—28no—
958#124—24no—
959#124—24no—
960#124—48no—
961#124—44no—
962#123—28no—
963#123—24no—
964#123—28no—
965#123—28no—
966#123—28no—
967#123—28no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—24no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—24no—
977#123—28no—
978#123—24no—
979#123—48no—
980#123—48no—
981#123—48no—
982#123—48no—
983#123—44no—
984#123—44no—
985#123—42no—
986#123—44no—
987#123—42no—
988#123—44no—
989#123—44no—
990C22⋊Q8—216no—
991C22⋊Q8—216no—
992C22⋊Q8—216no—
993C22⋊Q8—216no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—24no—
997C22⋊Q8—24no—
998C22⋊Q8—28no—
999C22⋊Q8—24no—
1000C22⋊Q8—216no—
1001C22⋊Q8—216no—
1002C22⋊Q8—216no—
1003C22⋊Q8—216no—
1004C22⋊Q8—216no—
1005C22⋊Q8—216no—
1006C22⋊Q8—216no—
1007C22⋊Q8—216no—
1008C22⋊Q8—28no—
1009C22⋊Q8—28no—
1010C22⋊Q8—48no—
1011C22⋊Q8—48no—
1012C22⋊Q8—48no—
1013#121—28no—
1014#121—28no—
1015#121—24no—
1016#121—24no—
1017#121—28no—
1018#121—28no—
1019#121—24no—
1020#121—24no—
1021#121—24no—
1022#121—28no—
1023#121—28no—
1024#120—28no—
1025#120—28no—
1026#120—28no—
1027#120—28no—
1028C4×Q8—24no—
1029C4×Q8—28no—
1030C4×Q8—28no—
1031C4×Q8—28no—
1032C4×Q8—28no—
1033C4×Q8—24no—
1034C4×Q8—24no—
1035C4×D4—216no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—216no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—24no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—24no—
1056C4×D4—24no—
1057C4×D4C2×D418yes—
1058C4×D4C2×D4116yes—
1059C4×D4C2×D418yes—
1060C4×D4C2×D418yes—
1061C4×D4C2×D4116yes—
1062C4×D4C2×D418yes—
1063#117—28no—
1064#117—24no—
1065#117—28no—
1066#117—24no—
1067#117—28no—
1068#117—24no—
1069#117—24no—
1070#117—28no—
1071#117—48no—
1072#117—48no—
1073#117—44no—
1074#117—44no—
1075#117—42no—
1076C2×C4⋊C4—24no—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4—28no—
1079C2×C4⋊C4—28no—
1080C2×C4⋊C4—216no—
1081C2×C4⋊C4—216no—
1082C2×C4⋊C4—216no—
1083C2×C4⋊C4—216no—
1084C2×C4⋊C4—24no—
1085C2×C4⋊C4—24no—
1086C2×C4⋊C4—24no—
1087C2×C4⋊C4—24no—
1088C2×C4⋊C4—28no—
1089C2×C4⋊C4—28no—
1090C2×C4⋊C4—28no—
1091C2×C4⋊C4—28no—
1092C2×C4⋊C4—24no—
1093C2×C4⋊C4—48no—
1094C2×C4⋊C4—48no—
1095C2×C4⋊C4—48no—
1096C2×C4⋊C4C2×D418yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2411yescharacteristic
1168C2×C4⋊C4C2411yescharacteristic
1169C2×C4⋊C4C2412yes—
1170C2×C22⋊C4—28no—
1171C2×C22⋊C4—28no—
1172C2×C22⋊C4—28no—
1173C2×C22⋊C4—28no—
1174C2×C22⋊C4—28no—
1175C2×C22⋊C4—28no—
1176C2×C22⋊C4—28no—
1177C2×C22⋊C4—48no—
1178C2×C22⋊C4—48no—
1179C2×C22⋊C4—44no—
1180C2×C22⋊C4C2×D4116yes—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2411yescharacteristic
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2411yescharacteristic
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2411yescharacteristic
1213C2×C22⋊C4C2411yescharacteristic
1214C2×C22⋊C4C2411yescharacteristic
1215C2×C22⋊C4C2411yescharacteristic
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2411yescharacteristic
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2411yescharacteristic
1246C2×C42—24no—
1247C2×C42—24no—
1248C2×C42—48no—
1249C2×C42C2×D418yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2414yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263C2×C42C2414yes—
1264C2×C42C2414yes—
1265C2×C42C2412yes—
1266C2×C42C2412yes—
1267C2×C42C2412yes—
1268C2×C42C2411yescharacteristic
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271C2×C42C2411yescharacteristic
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323C24—24no—
1324C24—28no—
1325C24—24no—
1326C24—24no—
1327C24—28no—
1328C24—44no—
1329C24—42no—
1330C24—44no—
1331C24—42no—
1332C24C22×D418yes—
1333C24C2511yescharacteristic
1334C24C2512yes—
1335C24C2511yescharacteristic
1336C24C2512yes—
1337C24C2511yescharacteristic
1338C24C2512yes—
1339#41—416no—
1340#41—816no—
1341C2×Q8—24no—
1342C2×Q8—24no—
1343C2×Q8—22no—
1344C2×Q8—22no—
1345C2×Q8—24no—
1346C2×Q8—28no—
1347C2×Q8—28no—
1348C2×Q8—24no—
1349C2×Q8—24no—
1350C2×Q8—24no—
1351C2×Q8—42no—
1352C2×Q8—42no—
1353C2×Q8—44no—
1354C2×Q8—44no—
1355C2×Q8—42no—
1356C2×Q8—42no—
1357C2×Q8—44no—
1358C2×Q8—44no—
1359C2×Q8—42no—
1360C2×Q8—416no—
1361C2×Q8—816no—
1362C2×D4—28no—
1363C2×D4—232no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—24no—
1371C2×D4—22no—
1372C2×D4—28no—
1373C2×D4—28no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—22no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—416no—
1396C2×D4—816no—
1397C2×D4C22×D418yes—
1398C2×D4C22×D414yes—
1399C2×D4C22×D414yes—
1400C2×D42−1+418yes—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—28no—
1415C22×C4—28no—
1416C22×C4—22no—
1417C22×C4—24no—
1418C22×C4—22no—
1419C22×C4—28no—
1420C22×C4—28no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—28no—
1427C22×C4—28no—
1428C22×C4—28no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—28no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—28no—
1435C22×C4—28no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—44no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—432no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—42no—
1458C22×C4—44no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—42no—
1468C22×C4—432no—
1469C22×C4—816no—
1470C22×C4C22×D414yes—
1471C22×C4C22×D414yes—
1472C22×C4C22×D418yes—
1473C22×C4C22×D414yes—
1474C22×C4C22×D418yes—
1475C22×C4C22×D418yes—
1476C22×C4C22×D418yes—
1477C22×C4C22×D418yes—
1478C22×C4C2512yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2512yes—
1484C22×C4C2514yes—
1485C22×C4C2514yes—
1486C22×C4C2511yescharacteristic
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2512yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2512yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2514yes—
1496C22×C4C2514yes—
1497C22×C4C2511yescharacteristic
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2512yes—
1501C22×C4C2512yes—
1502C22×C4C2511yescharacteristic
1503C22×C4C2511yescharacteristic
1504C22×C4C2512yes—
1505C22×C4C2512yes—
1506C22×C4C2511yescharacteristic
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—28no—
1510C4⋊C4—28no—
1511C4⋊C4—28no—
1512C4⋊C4—28no—
1513C4⋊C4—28no—
1514C4⋊C4—28no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—22no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—28no—
1532C4⋊C4—28no—
1533C4⋊C4—28no—
1534C4⋊C4—28no—
1535C4⋊C4—24no—
1536C4⋊C4—22no—
1537C4⋊C4—22no—
1538C4⋊C4—22no—
1539C4⋊C4—22no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—22no—
1544C4⋊C4—22no—
1545C4⋊C4—24no—
1546C4⋊C4—22no—
1547C4⋊C4—22no—
1548C4⋊C4—22no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—28no—
1552C4⋊C4—28no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—28no—
1558C4⋊C4—24no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4—44no—
1563C4⋊C4—44no—
1564C4⋊C4—44no—
1565C4⋊C4—42no—
1566C4⋊C4—44no—
1567C4⋊C4—44no—
1568C4⋊C4—44no—
1569C4⋊C4—44no—
1570C4⋊C4—44no—
1571C4⋊C4—42no—
1572C4⋊C4—44no—
1573C4⋊C4—42no—
1574C4⋊C4—44no—
1575C4⋊C4—42no—
1576C4⋊C4—42no—
1577C4⋊C4C22×D414yes—
1578C4⋊C4C22×D414yes—
1579C4⋊C4C22×D418yes—
1580C22⋊C4—22no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—28no—
1584C22⋊C4—28no—
1585C22⋊C4—28no—
1586C22⋊C4—28no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—22no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—22no—
1595C22⋊C4—24no—
1596C22⋊C4—28no—
1597C22⋊C4—28no—
1598C22⋊C4—22no—
1599C22⋊C4—22no—
1600C22⋊C4—24no—
1601C22⋊C4—22no—
1602C22⋊C4—22no—
1603C22⋊C4—22no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—22no—
1610C22⋊C4—22no—
1611C22⋊C4—24no—
1612C22⋊C4—22no—
1613C22⋊C4—22no—
1614C22⋊C4—24no—
1615C22⋊C4—22no—
1616C22⋊C4—28no—
1617C22⋊C4—24no—
1618C22⋊C4—28no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—24no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—42no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—42no—
1639C22⋊C4—42no—
1640C22⋊C4C22×D418yes—
1641C22⋊C4C22×D418yes—
1642C22⋊C4C22×D418yes—
1643C22⋊C4C22×D418yes—
1644C22⋊C4H(5,𝔽2)14yes—
1645C42—24no—
1646C42—24no—
1647C42—24no—
1648C42—24no—
1649C42—24no—
1650C42—24no—
1651C42—24no—
1652C42—22no—
1653C42—22no—
1654C42—24no—
1655C42—28no—
1656C42—24no—
1657C42—24no—
1658C42—44no—
1659C42—44no—
1660C42—42no—
1661C42—42no—
1662C42—42no—
1663C42C22×D414yes—
1664C42C22×D414yes—
1665C42C22×D414yes—
1666C42C22×D414yes—
1667C23—22no—
1668C23—22no—
1669C23—24no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—24no—
1674C23—24no—
1675C23—22no—
1676C23—216no—
1677C23—216no—
1678C23—21no—
1679C23—22no—
1680C23—21no—
1681C23—21no—
1682C23—22no—
1683C23—21no—
1684C23—22no—
1685C23—22no—
1686C23—24no—
1687C23—24no—
1688C23—22no—
1689C23—22no—
1690C23—21no—
1691C23—22no—
1692C23—21no—
1693C23—48no—
1694C23—416no—
1695C23—416no—
1696C23—48no—
1697C23—84no—
1698C23—88no—
1699C23—88no—
1700C23—84no—
1701C23C23×D414yes—
1702C23C23×D414yes—
1703C23C23×D412yes—
1704C23C2×H(5,𝔽2)12yes—
1705C23C2×2−1+418yes—
1706C23#58512yes—
1707C23C2611yescharacteristic
1708Q8—48no—
1709Q8—48no—
1710Q8—44no—
1711Q8—82no—
1712Q8—88no—
1713Q8—88no—
1714Q8—84no—
1715D4—216no—
1716D4—28no—
1717D4—48no—
1718D4—48no—
1719D4—44no—
1720D4—48no—
1721D4—44no—
1722D4—44no—
1723D4—82no—
1724D4—84no—
1725D4—84no—
1726D4—84no—
1727D4—84no—
1728D4—84no—
1729D4#536116yescomplemented
1730C2×C4—28no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—28no—
1747C2×C4—216no—
1748C2×C4—28no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—24no—
1762C2×C4—24no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—24no—
1766C2×C4—22no—
1767C2×C4—24no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—24no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—24no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—24no—
1787C2×C4—24no—
1788C2×C4—24no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—24no—
1793C2×C4—22no—
1794C2×C4—24no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—21no—
1800C2×C4—48no—
1801C2×C4—48no—
1802C2×C4—48no—
1803C2×C4—48no—
1804C2×C4—44no—
1805C2×C4—416no—
1806C2×C4—416no—
1807C2×C4—416no—
1808C2×C4—48no—
1809C2×C4—44no—
1810C2×C4—48no—
1811C2×C4—44no—
1812C2×C4—48no—
1813C2×C4—44no—
1814C2×C4—44no—
1815C2×C4—44no—
1816C2×C4—84no—
1817C2×C4—84no—
1818C2×C4—84no—
1819C2×C4—88no—
1820C2×C4—84no—
1821C2×C4—88no—
1822C2×C4—88no—
1823C2×C4—84no—
1824C2×C4C23×D412yes—
1825C2×C4C23×D412yes—
1826C2×C4C23×D414yes—
1827C2×C4C23×D412yes—
1828C2×C4C23×D412yes—
1829C2×C4C23×D412yes—
1830C2×C4C23×D414yes—
1831C2×C4C23×D412yes—
1832C2×C4C2×H(5,𝔽2)14yes—
1833C2×C4C2×2−1+414yes—
1834C2×C4#58514yes—
1835C22—28no—
1836C22—24no—
1837C22—24no—
1838C22—24no—
1839C22—28no—
1840C22—22no—
1841C22—24no—
1842C22—22no—
1843C22—24no—
1844C22—24no—
1845C22—24no—
1846C22—432no—
1847C22—44no—
1848C22—44no—
1849C22—42no—
1850C22—44no—
1851C22—42no—
1852C22—41no—
1853C22—42no—
1854C22—41no—
1855C22—42no—
1856C22—44no—
1857C22—42no—
1858C22—42no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—42no—
1864C22—168no—
1865C22C2×#53618yes—
1866C22#349614yes—
1867C22C24×D411yescharacteristic
1868C22C22×H(5,𝔽2)11yescharacteristic
1869C22C22×2−1+412yes—
1870C22C2×#58512yes—
1871C22C2×#58511yescharacteristic
1872C4—24no—
1873C4—22no—
1874C4—22no—
1875C4—24no—
1876C4—24no—
1877C4—24no—
1878C4—22no—
1879C4—22no—
1880C4—22no—
1881C4—44no—
1882C4—44no—
1883C4—42no—
1884C4—42no—
1885C4—44no—
1886C4—42no—
1887C4—41no—
1888C4—42no—
1889C4—41no—
1890C4—42no—
1891C4—42no—
1892C4—44no—
1893C4—42no—
1894C4—42no—
1895C4—41no—
1896C4—41no—
1897C4—41no—
1898C4—41no—
1899C4—42no—
1900C4C2×#53614yes—
1901C2—24no—
1902C2—28no—
1903C2—44no—
1904C2—81no—
1905C2—82no—
1906C2—81no—
1907C2C22×#53611yescharacteristic
1908C2C2×#349611yescharacteristic
1909C2#6281111yescharacteristic
1910C2#6301312yes—
1911C2#6302312yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3513C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#554C2semidirect
3. #42442C2semidirect
4. #42439C2semidirect
5. #40516C2semidirect
6. #40513C2semidirect
7. #39952C2semidirect
8. #39949C2semidirect
9. #39465C2semidirect
10. #39337C2semidirect
11. #38919C2semidirect
12. #38907C2semidirect
13. #38422C2semidirect
14. #38421C2semidirect
15. #38037C2semidirect
16. #38021C2semidirect
17. #37835C2semidirect
18. #37647C2semidirect
19. #37549C2semidirect
20. #37441C2semidirect
21. #36261C2semidirect
22. #36238C2semidirect
23. #36237C2semidirect
24. #36236C2semidirect
25. #36155C2semidirect
26. D4×#123C2semidirect
27. #35806C2semidirect
28. #35776C2semidirect
29. #35306C2semidirect
30. #35247C2semidirect
31. #35139C2semidirect
32. #35057C2semidirect
33. #34972C2semidirect
34. C2×#2413C2semidirect
35. D4×#117C2semidirect
42. C2×#554C22semidirect
43. C2×#554C22semidirect
44. C2×#554C22semidirect
45. C2×#554C22semidirect
60. C2×#536C22semidirect
61. C22×C4⋊Q8C22semidirect
64. C22×#125C22semidirect
65. C22×#125C22semidirect
69. C22×C22⋊Q8C22semidirect
70. C22×C22⋊Q8C22semidirect
71. C22×C22⋊Q8C22semidirect
74. C22×C4×Q8C22semidirect
78. C22×#117C22semidirect
79. C23×C4⋊C4C22semidirect
80. #2861C22semidirect
81. #2859C22semidirect
82. #2857C22semidirect
83. #2855C22semidirect
84. #2855C22semidirect
87. #2850C22semidirect
90. #2849C22semidirect
91. #2849C22semidirect
92. #2822C22semidirect
93. #2820C22semidirect
94. #2814C22semidirect
95. #2814C22semidirect
96. #2721C22semidirect
97. #2719C22semidirect
98. #2716C22semidirect
99. #2713C22semidirect
100. #2700C22semidirect
101. #2700C22semidirect
102. #2698C22semidirect
103. #2698C22semidirect
104. #2694C22semidirect
105. #2690C22semidirect
106. #2689C22semidirect
107. #2689C22semidirect
108. #2687C22semidirect
109. #2687C22semidirect
110. #2681C22semidirect
111. #2681C22semidirect
112. #2680C22semidirect
113. #2680C22semidirect
114. #2677C22semidirect
115. #2674C22semidirect
116. #2674C22semidirect
117. #2674C22semidirect
118. #2672C22semidirect
119. #2672C22semidirect
120. #2664C22semidirect
121. #2664C22semidirect
122. #2664C22semidirect
123. #2663C22semidirect
124. #2663C22semidirect
125. #2637C22semidirect
126. #2629C22semidirect
127. #2629C22semidirect
128. #2627C22semidirect
129. #2627C22semidirect
130. #2627C22semidirect
131. #2626C22semidirect
133. #2623C22semidirect
134. #2621C22semidirect
135. #2620C22semidirect
137. #2618C22semidirect
139. #2614C22semidirect
140. #2611C22semidirect
141. #2604C22semidirect
142. #2604C22semidirect
143. #2592C22semidirect
144. #2591C22semidirect
145. #2584C22semidirect
146. #2584C22semidirect
147. #2583C22semidirect
148. #2583C22semidirect
149. #2582C22semidirect
150. #2579C22semidirect
151. #2579C22semidirect
152. #2566C22semidirect
153. #2565C22semidirect
154. #2565C22semidirect
155. #2562C22semidirect
156. #2561C22semidirect
157. #2552C22semidirect
158. #2551C22semidirect
159. #2550C22semidirect
160. #2550C22semidirect
161. #2549C22semidirect
162. #2549C22semidirect
163. #2545C22semidirect
164. #2538C22semidirect
166. #2503C22semidirect
167. #2503C22semidirect
168. #2502C22semidirect
171. #2492C22semidirect
172. #2491C22semidirect
173. #2490C22semidirect
174. #2489C22semidirect
175. #2488C22semidirect
176. #2488C22semidirect
178. #2487C22semidirect
180. #2486C22semidirect
181. #2486C22semidirect
182. #2484C22semidirect
183. #2484C22semidirect
184. #2483C22semidirect
185. #2483C22semidirect
186. #2472C22semidirect
187. #2472C22semidirect
188. #2454C22semidirect
189. #2453C22semidirect
190. #2452C22semidirect
191. #2451C22semidirect
192. #2450C22semidirect
193. #2450C22semidirect
194. #2449C22semidirect
195. #2449C22semidirect
196. #2447C22semidirect
197. #2447C22semidirect
201. #2444C22semidirect
203. #2443C22semidirect
204. #2442C22semidirect
205. #2441C22semidirect
206. #2440C22semidirect
207. #2440C22semidirect
208. #2440C22semidirect
209. #2439C22semidirect
210. #2438C22semidirect
211. #2438C22semidirect
212. #2437C22semidirect
213. #2437C22semidirect
215. #2434C22semidirect
217. #2422C22semidirect
219. #2420C22semidirect
220. #2419C22semidirect
221. #2419C22semidirect
224. #2417C22semidirect
225. #2417C22semidirect
226. #2415C22semidirect
227. #2415C22semidirect
233. #2413C22semidirect
234. #2413C22semidirect
235. #2413C22semidirect
236. #2413C22semidirect
237. #2413C22semidirect
238. #2413C22semidirect
239. #2413C22semidirect
240. #2413C22semidirect
241. #2413C22semidirect
242. #2413C22semidirect
243. #2413C22semidirect
244. #2413C22semidirect
245. #2413C22semidirect
248. #2412C22semidirect
249. #2412C22semidirect
250. #2409C22semidirect
251. #2406C22semidirect
252. #2406C22semidirect
255. #2396C22semidirect
256. #2396C22semidirect
257. C2×#398C22semidirect
258. C2×#396C22semidirect
259. #2354C22semidirect
260. #2352C22semidirect
266. #2344C22semidirect
267. #2344C22semidirect
268. #2342C22semidirect
269. #2342C22semidirect
276. #2323C22semidirect
277. #2322C22semidirect
278. #2322C22semidirect
279. #2322C22semidirect
280. #2322C22semidirect
281. #2317C22semidirect
282. #2311C22semidirect
283. #2310C22semidirect
284. C4×C4⋊Q8C22semidirect
285. C4×#124C22semidirect
288. C4×#123C22semidirect
289. C4×#123C22semidirect
290. #2293C22semidirect
291. C2×#389C22semidirect
292. #2290C22semidirect
293. C2×#388C22semidirect
295. C2×#385C22semidirect
296. #2285C22semidirect
297. #2280C22semidirect
298. C2×#381C22semidirect
300. C4×#117C22semidirect
1729. D4#536semidirect

Maximal subgroups

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

subgroupindex
C2×#35132
C22×#5542
#424422
#424392
#405162
#405132
#399522
#399492
#394652
#393372
#389192
#389072
#384222
#384212
#380372
#380212
#378352
#376472
#375492
#374412
#362612
#362382
#362372
#362362
#361552
D4×#1232
#358062
#357762
#353062
#352472
#351392
#350572
#349722
C2×#24132
D4×#1172