Finite Group Databasebeta

← #7653543

Subgroups — #7653543

Order 512.

7291 conjugacy classes of subgroups.

The subgroup lattice has 1990 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3501C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic
3#42437C212yesmaximal, complemented
4#42436C212yesmaximal, complemented
5#40511C214yesmaximal, complemented
6#40487C214yesmaximal, complemented
7#39952C212yesmaximal, complemented
8#39949C212yesmaximal, complemented
9#39470C211yesmaximal, characteristic, complemented
10#39343C211yesmaximal, characteristic, complemented
11#38921C211yesmaximal, characteristic, complemented
12#38911C211yesmaximal, characteristic, complemented
13#38422C214yesmaximal, complemented
14#38421C214yesmaximal, complemented
15#38040C212yesmaximal, complemented
16#38027C212yesmaximal, complemented
17#37838C212yesmaximal, complemented
18#37651C212yesmaximal, complemented
19#37622C211yesmaximal, characteristic, complemented
20#37438C212yesmaximal, complemented
21#36275C211yesmaximal, characteristic, complemented
22#36274C211yesmaximal, characteristic, complemented
23#36261C212yesmaximal, complemented
24#36238C212yesmaximal, complemented
25#36154C211yesmaximal, characteristic, complemented
26D4×C22⋊Q8C211yesmaximal, characteristic, complemented
27#35791C212yesmaximal, complemented
28#35713C212yesmaximal, complemented
29#35306C212yesmaximal, complemented
30#35297C211yesmaximal, characteristic, complemented
31#35201C211yesmaximal, characteristic, complemented
32#35084C212yesmaximal, complemented
33#34979C211yesmaximal, characteristic, complemented
34C2×#2415C212yesmaximal, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36#3501—216no—
37#3481—216no—
38C2×#559C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#554C2212yes—
41C2×#554C2211yescharacteristic
42C2×#554C2211yescharacteristic
43C2×#554C2211yescharacteristic, complemented
44C2×#554C2212yescomplemented
45C2×#554C2214yescomplemented
46C2×#554C2212yescomplemented
47C2×#553C2211yescharacteristic
48C2×#553C2212yes—
49C2×#553C2211yescharacteristic
50C2×#551C2212yes—
51C2×#551C2212yes—
52C2×D4×Q8C2211yescharacteristic
53C2×D4×Q8C2212yescomplemented
54C2×D4×Q8C2211yescharacteristic, complemented
55C2×#546C2212yes—
56C2×#546C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×D42C2211yescharacteristic
59C2×#544C2212yescomplemented
60C2×#543C2214yescomplemented
61C2×#536C2212yescomplemented
62C2×#533C2211yescharacteristic, complemented
63C2×#533C2211yescharacteristic, complemented
64C2×#532C2211yescharacteristic
65C2×#529C2211yescharacteristic
66C2×#529C2211yescharacteristic
67C2×#529C2212yes—
68C2×#525C2212yes—
69C2×#525C2212yes—
70C22×C22⋊Q8C2212yescomplemented
71C22×C22⋊Q8C2212yescomplemented
72C22×C22⋊Q8C2212yescomplemented
73C2×#518C2212yes—
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic
76C22×C4×D4C2212yes—
77C22×C4×D4C2211yescharacteristic
78C22×C4×D4C2211yescharacteristic
79C22×#117C2212yescomplemented
80#2861C2212yescomplemented
81#2859C2212yescomplemented
82#2857C2211yescharacteristic, complemented
83#2857C2214yescomplemented
84#2857C2211yescharacteristic, complemented
85#2857C2211yescharacteristic, complemented
86#2857C2211yescharacteristic, complemented
87#2855C2212yescomplemented
88#2855C2212yescomplemented
89#2850C2214yescomplemented
90#2848C2212yescomplemented
91#2848C2212yescomplemented
92#2817C2214yescomplemented
93#2816C2214yescomplemented
94#2814C2214yescomplemented
95#2721C2214yescomplemented
96#2719C2214yescomplemented
97#2716C2214yescomplemented
98#2713C2214yescomplemented
99#2700C2214yescomplemented
100#2700C2214yescomplemented
101#2698C2214yescomplemented
102#2698C2214yescomplemented
103#2694C2214yescomplemented
104#2690C2214yescomplemented
105#2689C2214yescomplemented
106#2689C2214yescomplemented
107#2687C2214yescomplemented
108#2687C2214yescomplemented
109#2681C2214yescomplemented
110#2681C2214yescomplemented
111#2680C2214yescomplemented
112#2680C2214yescomplemented
113#2677C2214yescomplemented
114#2674C2214yescomplemented
115#2674C2214yescomplemented
116#2674C2214yescomplemented
117#2672C2214yescomplemented
118#2672C2214yescomplemented
119#2664C2214yescomplemented
120#2663C2214yescomplemented
121#2663C2214yescomplemented
122#2663C2214yescomplemented
123#2638C2214yes—
124#2638C2214yescomplemented
125#2628C2212yescomplemented
126#2625C2212yescomplemented
127#2625C2212yescomplemented
128#2625C2212yescomplemented
129#2625C2212yescomplemented
130#2624C2212yes—
131#2622C2214yes—
132#2622C2214yescomplemented
133#2621C2212yescomplemented
134#2621C2214yescomplemented
135#2620C2214yescomplemented
136#2616C2212yes—
137#2616C2212yescomplemented
138#2616C2212yescomplemented
139#2611C2212yescomplemented
140#2611C2212yescomplemented
141#2604C2214yescomplemented
142#2592C2212yescomplemented
143#2591C2214yescomplemented
144#2584C2212yescomplemented
145#2584C2212yescomplemented
146#2583C2214yescomplemented
147#2583C2214yescomplemented
148#2582C2211yescharacteristic, complemented
149#2582C2211yescharacteristic, complemented
150#2581C2212yescomplemented
151#2568C2211yescharacteristic, complemented
152#2568C2211yescharacteristic, complemented
153#2567C2211yescharacteristic, complemented
154#2563C2211yescharacteristic, complemented
155#2562C2212yescomplemented
156#2561C2214yescomplemented
157#2552C2212yescomplemented
158#2551C2212yescomplemented
159#2550C2212yescomplemented
160#2550C2212yescomplemented
161#2549C2214yescomplemented
162#2549C2214yescomplemented
163#2547C2211yescharacteristic, complemented
164#2546C2211yescharacteristic, complemented
165#2542C2211yescharacteristic, complemented
166#2542C2211yescharacteristic, complemented
167#2538C2211yescharacteristic, complemented
168#2538C2211yescharacteristic, complemented
169#2536C2212yescomplemented
170#2500C2212yes—
171#2499C2212yescomplemented
172#2499C2212yescomplemented
173#2492C2212yescomplemented
174#2491C2212yescomplemented
175#2490C2212yescomplemented
176#2489C2212yescomplemented
177#2488C2214yescomplemented
178#2488C2214yescomplemented
179#2487C2212yescomplemented
180#2487C2212yescomplemented
181#2486C2212yescomplemented
182#2486C2212yescomplemented
183#2485C2212yes—
184#2485C2212yescomplemented
185#2483C2214yescomplemented
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#2440C2212yescomplemented
207#2440C2214yescomplemented
208#2440C2214yescomplemented
209#2439C2212yescomplemented
210#2438C2214yescomplemented
211#2438C2214yescomplemented
212#2437C2214yescomplemented
213#2437C2214yescomplemented
214#2432C2212yes—
215#2422C2212yes—
216#2422C2212yescomplemented
217#2420C2212yes—
218#2420C2212yescomplemented
219#2419C2214yescomplemented
220#2419C2214yescomplemented
221#2418C2214yes—
222#2418C2214yes—
223#2417C2212yescomplemented
224#2417C2212yescomplemented
225#2417C2212yescomplemented
226#2417C2212yescomplemented
227#2415C2211yescharacteristic
228#2415C2212yes—
229#2415C2214yes—
230#2415C2211yescharacteristic
231#2415C2212yescomplemented
232#2415C2212yescomplemented
233#2415C2212yescomplemented
234#2415C2214yescomplemented
235#2415C2214yescomplemented
236#2415C2212yescomplemented
237#2415C2211yescharacteristic, complemented
238#2415C2212yescomplemented
239#2415C2212yescomplemented
240#2415C2214yescomplemented
241#2415C2212yescomplemented
242#2415C2212yescomplemented
243#2415C2212yescomplemented
244#2415C2211yescharacteristic, complemented
245#2413C2214yescomplemented
246#2413C2214yescomplemented
247#2412C2214yes—
248#2412C2214yescomplemented
249#2409C2212yescomplemented
250#2409C2212yescomplemented
251#2409C2212yescomplemented
252#2409C2212yescomplemented
253#2405C2214yes—
254#2395C2212yes—
255#2395C2212yescomplemented
256C2×#397C2214yescomplemented
257C2×#394C2214yes—
258#2354C2211yescharacteristic, complemented
259#2354C2211yescharacteristic, complemented
260#2352C2212yescomplemented
261#2352C2212yescomplemented
262#2349C2212yes—
263#2349C2212yes—
264D4×C4⋊C4C2211yescharacteristic
265D4×C4⋊C4C2211yescharacteristic
266D4×C4⋊C4C2212yes—
267D4×C4⋊C4C2212yes—
268#2344C2212yescomplemented
269#2342C2214yescomplemented
270#2339C2212yes—
271#2339C2212yes—
272D4×C22⋊C4C2212yes—
273D4×C22⋊C4C2212yes—
274D4×C22⋊C4C2212yes—
275#2323C2212yescomplemented
276#2323C2212yescomplemented
277#2323C2212yescomplemented
278#2323C2212yescomplemented
279#2322C2214yescomplemented
280#2322C2214yescomplemented
281#2317C2212yescomplemented
282#2311C2212yescomplemented
283#2310C2212yescomplemented
284C4×C4⋊Q8C2212yescomplemented
285C4×#124C2212yescomplemented
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C2×#391C2212yescomplemented
291#2293C2212yescomplemented
292C2×#389C2214yescomplemented
293C2×#389C2212yescomplemented
294#2290C2214yescomplemented
295C2×#388C2214yescomplemented
296#2285C2211yescharacteristic, complemented
297#2280C2212yescomplemented
298C2×#380C2212yescomplemented
299C42×D4C2212yes—
300C4×#117C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C23×Q8C2312yes—
305C23×Q8C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2311yescharacteristic
308C23×D4C2312yes—
309C24×C4C2312yes—
310C24×C4C2312yes—
311#559—28no—
312#554—28no—
313#554—216no—
314#554—28no—
315#554—232no—
316#554—216no—
317#554—216no—
318#554—28no—
319#554—28no—
320#553—216no—
321#553—28no—
322#553—28no—
323#551—216no—
324#551—216no—
325D4×Q8—28no—
326D4×Q8—216no—
327D4×Q8—28no—
328#546—28no—
329#546—28no—
330#546—216no—
331D42—28no—
332#544—216no—
333#543—232no—
334#536—48no—
335#533—28no—
336#533—28no—
337#532—28no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2314yes—
348C2×#127C2311yescharacteristic
349#529—216no—
350#529—28no—
351#529—28no—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#125C2312yes—
357C2×#125C2311yescharacteristic
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2311yescharacteristic
361C2×#125C2314yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#124C2311yescharacteristic
365C2×#124C2312yes—
366C2×#124C2311yescharacteristic
367C2×#124C2312yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370#525—216no—
371#525—216no—
372C2×#123C2312yes—
373C2×#123C2312yes—
374C2×#123C2312yes—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×C22⋊Q8—216no—
385C2×C22⋊Q8—216no—
386C2×C22⋊Q8—48no—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2314yes—
428C2×C22⋊Q8C2314yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2311yescharacteristic
439C2×#120C2312yes—
440C2×#120C2312yes—
441C2×#120C2312yes—
442C2×#120C2312yes—
443#518—216no—
444C4×#41—28no—
445C4×#41—28no—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×D4—216no—
456C2×C4×D4—28no—
457C2×C4×D4D4116yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
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×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2314yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×#117—48no—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2311yescharacteristic
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2312yes—
503C2×#117C2311yescharacteristic
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2314yes—
507C2×#117C2314yes—
508C2×#117C2312yes—
509C2×#117C2311yescharacteristic
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2314yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2314yes—
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2311yescharacteristic
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2312yes—
518C22×C4⋊C4C2314yes—
519C22×C4⋊C4C2314yes—
520C22×C4⋊C4C2311yescharacteristic
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2314yes—
523C22×C22⋊C4C2312yes—
524C22×C22⋊C4C2312yes—
525C22×C22⋊C4C2314yes—
526C22×C22⋊C4C2314yes—
527C22×C22⋊C4C2314yes—
528C22×C22⋊C4C2314yes—
529C22×C22⋊C4C2312yes—
530C22×C42C2312yes—
531C22×C42C2311yescharacteristic
532C22×C42C2311yescharacteristic
533C22×C42C2314yes—
534C22×C42C2311yescharacteristic
535#400C2314yes—
536#400C2314yes—
537#400C2314yes—
538#400C2314yes—
539#400C2314yes—
540#400C2314yes—
541#400C2312yes—
542#400C2312yes—
543#400C2314yes—
544#399C2314yes—
545#399C2314yes—
546#399C2314yes—
547#399C2312yes—
548#399C2312yes—
549#399C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2312yes—
559#398C2312yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#398C2314yes—
564#398C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2312yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2314yes—
576#397C2314yes—
577#397C2314yes—
578#397C2314yes—
579#397C2314yes—
580#397C2314yes—
581#397C2314yes—
582#397C2314yes—
583#397C2312yes—
584#397C2312yes—
585#397C2314yes—
586#397C2314yes—
587#397C2314yes—
588#397C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#396C2314yes—
595#395C2314yes—
596#395C2314yes—
597#395C2314yes—
598#395C2314yes—
599#395C2314yes—
600#395C2314yes—
601#395C2314yes—
602#395C2314yes—
603#395C2314yes—
604#394C2312yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2312yes—
617#394C2314yes—
618#394C2314yes—
619#394C2312yes—
620#394C2312yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#393C2314yes—
626#393C2314yes—
627#393C2314yes—
628#393C2314yes—
629#393C2314yes—
630#393C2314yes—
631#391C2312yes—
632#391C2312yes—
633#391C2311yescharacteristic
634#391C2312yes—
635#391C2312yes—
636#391C2312yes—
637#391C2314yes—
638#391C2314yes—
639#391C2314yes—
640#391C2312yes—
641#391C2312yes—
642#391C2312yes—
643#391C2311yescharacteristic
644#391C2311yescharacteristic
645#391C2311yescharacteristic
646#391C2312yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2314yes—
653#391C2314yes—
654#391C2312yes—
655#390C2312yes—
656#390C2314yes—
657#390C2312yes—
658#390C2312yes—
659#390C2312yes—
660#390C2312yes—
661#390C2312yes—
662#390C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2311yescharacteristic
670#389C2312yes—
671#389C2312yes—
672#389C2314yes—
673#389C2314yes—
674#389C2314yes—
675#389C2314yes—
676#389C2312yes—
677#389C2312yes—
678#389C2314yes—
679#389C2314yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2314yes—
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2311yescharacteristic
692#389C2312yes—
693#389C2312yes—
694#389C2314yes—
695#389C2311yescharacteristic
696#389C2311yescharacteristic
697#389C2314yes—
698#389C2314yes—
699#389C2314yes—
700#389C2314yes—
701#389C2314yes—
702#389C2314yes—
703#388C2312yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2312yes—
715#388C2314yes—
716#388C2312yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2312yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2312yes—
738#387C2312yes—
739#387C2312yes—
740#387C2312yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2312yes—
774#385C2312yes—
775#385C2312yes—
776#385C2312yes—
777#384C2312yes—
778#384C2312yes—
779#384C2314yes—
780#384C2311yescharacteristic
781#384C2311yescharacteristic
782#384C2312yes—
783#382C2312yes—
784#382C2312yes—
785#382C2312yes—
786#382C2314yes—
787#382C2312yes—
788#381C2314yes—
789#381C2314yes—
790#381C2314yes—
791#381C2314yes—
792#381C2314yes—
793#381C2314yes—
794#381C2314yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2311yescharacteristic
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2311yescharacteristic
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2314yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2312yes—
817#380C2312yes—
818#380C2311yescharacteristic
819#380C2312yes—
820#380C2311yescharacteristic
821#380C2314yes—
822#380C2314yes—
823#379C2314yes—
824#379C2314yes—
825#379C2314yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
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—24no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—28no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—42no—
864C2×#41—42no—
865C22×Q8—28no—
866C22×Q8—28no—
867C22×Q8—44no—
868C22×Q8—44no—
869C22×Q8—44no—
870C22×Q8—44no—
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×Q8C2412yes—
878C22×Q8C2414yes—
879C22×Q8C2414yes—
880C22×Q8C2412yes—
881C22×D4—24no—
882C22×D4—24no—
883C22×D4—28no—
884C22×D4—24no—
885C22×D4—24no—
886C22×D4—24no—
887C22×D4—44no—
888C22×D4—44no—
889C22×D4C2×D418yes—
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2411yescharacteristic
894C22×D4C2411yescharacteristic
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2411yescharacteristic
899C22×D4C2411yescharacteristic
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2411yescharacteristic
905C23×C4—28no—
906C23×C4—44no—
907C23×C4—44no—
908C23×C4—44no—
909C23×C4—44no—
910C23×C4C2×D4116yes—
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2414yes—
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2411yescharacteristic
925C23×C4C2414yes—
926C23×C4C2414yes—
927C23×C4C2414yes—
928C23×C4C2412yes—
929C23×C4C2414yes—
930C23×C4C2412yes—
931C23×C4C2414yes—
932C23×C4C2412yes—
933C23×C4C2411yescharacteristic
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2412yes—
937C4⋊Q8—24no—
938C4⋊Q8—28no—
939C4⋊Q8—28no—
940C4⋊Q8—216no—
941C4⋊Q8—24no—
942C4⋊Q8—24no—
943C4⋊Q8—24no—
944C4⋊Q8—24no—
945C4⋊Q8—48no—
946C4⋊Q8—44no—
947#127—24no—
948#126—28no—
949#126—28no—
950#126—28no—
951#126—28no—
952#125—28no—
953#125—24no—
954#125—28no—
955#125—28no—
956#125—216no—
957#125—24no—
958#125—28no—
959#125—28no—
960#124—24no—
961#124—28no—
962#124—28no—
963#124—24no—
964#124—48no—
965#124—44no—
966#123—28no—
967#123—28no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—48no—
975#123—48no—
976#123—48no—
977#123—48no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—24no—
981C22⋊Q8—216no—
982C22⋊Q8—216no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—216no—
988C22⋊Q8—216no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—24no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—28no—
995C22⋊Q8—24no—
996C22⋊Q8—24no—
997C22⋊Q8—28no—
998C22⋊Q8—24no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—216no—
1002C22⋊Q8—216no—
1003C22⋊Q8—216no—
1004C22⋊Q8—216no—
1005C22⋊Q8—216no—
1006C22⋊Q8—216no—
1007C22⋊Q8—216no—
1008C22⋊Q8—216no—
1009C22⋊Q8—44no—
1010C22⋊Q8—48no—
1011C22⋊Q8—48no—
1012C22⋊Q8—44no—
1013C22⋊Q8—44no—
1014C22⋊Q8—44no—
1015C22⋊Q8—42no—
1016C22⋊Q8—44no—
1017C22⋊Q8—42no—
1018C22⋊Q8—44no—
1019C22⋊Q8—44no—
1020#121—28no—
1021#121—24no—
1022#121—28no—
1023#121—24no—
1024#121—28no—
1025#121—28no—
1026#121—24no—
1027#121—24no—
1028#121—28no—
1029#121—28no—
1030#120—28no—
1031#120—28no—
1032#120—28no—
1033#120—28no—
1034C4×Q8—24no—
1035C4×Q8—24no—
1036C4×Q8—24no—
1037C4×Q8—24no—
1038C4×Q8—24no—
1039C4×Q8—24no—
1040C4×Q8—28no—
1041C4×Q8—28no—
1042C4×Q8—28no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—216no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—216no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—24no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—24no—
1064C4×D4—24no—
1065C4×D4—24no—
1066C4×D4—24no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—24no—
1070C4×D4—24no—
1071C4×D4—24no—
1072C4×D4C2×D418yes—
1073C4×D4C2×D4116yes—
1074C4×D4C2×D418yes—
1075C4×D4C2×D418yes—
1076C4×D4C2×D4116yes—
1077C4×D4C2×D418yes—
1078#117—24no—
1079#117—28no—
1080#117—28no—
1081#117—28no—
1082#117—24no—
1083#117—24no—
1084#117—28no—
1085#117—28no—
1086#117—24no—
1087#117—24no—
1088#117—28no—
1089#117—48no—
1090#117—48no—
1091#117—44no—
1092#117—44no—
1093#117—42no—
1094C2×C4⋊C4—28no—
1095C2×C4⋊C4—216no—
1096C2×C4⋊C4—216no—
1097C2×C4⋊C4—28no—
1098C2×C4⋊C4—28no—
1099C2×C4⋊C4—24no—
1100C2×C4⋊C4—28no—
1101C2×C4⋊C4—48no—
1102C2×C4⋊C4—44no—
1103C2×C4⋊C4—48no—
1104C2×C4⋊C4C2×D418yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2411yescharacteristic
1176C2×C4⋊C4C2411yescharacteristic
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2411yescharacteristic
1179C2×C22⋊C4—28no—
1180C2×C22⋊C4—216no—
1181C2×C22⋊C4—216no—
1182C2×C22⋊C4—28no—
1183C2×C22⋊C4—28no—
1184C2×C22⋊C4—48no—
1185C2×C22⋊C4—48no—
1186C2×C22⋊C4—48no—
1187C2×C22⋊C4C2×D4116yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2411yescharacteristic
1214C2×C22⋊C4C2411yescharacteristic
1215C2×C22⋊C4C2411yescharacteristic
1216C2×C22⋊C4C2411yescharacteristic
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C42—28no—
1250C2×C42—24no—
1251C2×C42—24no—
1252C2×C42—48no—
1253C2×C42C2×D418yes—
1254C2×C42C2411yescharacteristic
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2412yes—
1259C2×C42C2411yescharacteristic
1260C2×C42C2414yes—
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263C2×C42C2414yes—
1264C2×C42C2411yescharacteristic
1265C2×C42C2412yes—
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268C2×C42C2412yes—
1269C2×C42C2412yes—
1270C2×C42C2414yes—
1271C2×C42C2414yes—
1272C2×C42C2412yes—
1273C2×C42C2412yes—
1274C2×C42C2412yes—
1275C2×C42C2411yescharacteristic
1276C2×C42C2411yescharacteristic
1277C2×C42C2411yescharacteristic
1278C2×C42C2411yescharacteristic
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2412yes—
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—
1329C24—24no—
1330C24—24no—
1331C24—24no—
1332C24—24no—
1333C24—24no—
1334C24—24no—
1335C24—42no—
1336C24—42no—
1337C24—42no—
1338C24—42no—
1339C24—42no—
1340C24—42no—
1341C24—42no—
1342C24C22×D418yes—
1343C24C2512yes—
1344C24C2511yescharacteristic
1345C24C2511yescharacteristic
1346C24C2512yes—
1347C24C2511yescharacteristic
1348C24C2512yes—
1349#41—416no—
1350#41—416no—
1351#41—816no—
1352C2×Q8—22no—
1353C2×Q8—22no—
1354C2×Q8—22no—
1355C2×Q8—22no—
1356C2×Q8—24no—
1357C2×Q8—24no—
1358C2×Q8—24no—
1359C2×Q8—24no—
1360C2×Q8—28no—
1361C2×Q8—28no—
1362C2×Q8—22no—
1363C2×Q8—24no—
1364C2×Q8—22no—
1365C2×Q8—22no—
1366C2×Q8—22no—
1367C2×Q8—22no—
1368C2×Q8—24no—
1369C2×Q8—22no—
1370C2×Q8—22no—
1371C2×Q8—41no—
1372C2×Q8—44no—
1373C2×Q8—42no—
1374C2×Q8—42no—
1375C2×Q8—44no—
1376C2×Q8—42no—
1377C2×Q8—42no—
1378C2×Q8—42no—
1379C2×Q8—44no—
1380C2×Q8—44no—
1381C2×Q8—42no—
1382C2×Q8—816no—
1383C2×Q8—816no—
1384C2×D4—22no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—22no—
1388C2×D4—232no—
1389C2×D4—22no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—22no—
1401C2×D4—24no—
1402C2×D4—24no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—24no—
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—22no—
1410C2×D4—22no—
1411C2×D4—24no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—42no—
1420C2×D4—42no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—432no—
1426C2×D4—416no—
1427C2×D4C22×D418yes—
1428C2×D4C22×D414yes—
1429C2×D4C22×D414yes—
1430C2×D42−1+414yes—
1431C2×D42−1+414yes—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—28no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—22no—
1446C22×C4—28no—
1447C22×C4—28no—
1448C22×C4—24no—
1449C22×C4—28no—
1450C22×C4—28no—
1451C22×C4—28no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—24no—
1459C22×C4—28no—
1460C22×C4—22no—
1461C22×C4—24no—
1462C22×C4—22no—
1463C22×C4—22no—
1464C22×C4—22no—
1465C22×C4—22no—
1466C22×C4—22no—
1467C22×C4—24no—
1468C22×C4—22no—
1469C22×C4—22no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—432no—
1475C22×C4—42no—
1476C22×C4—44no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—41no—
1484C22×C4—41no—
1485C22×C4—41no—
1486C22×C4—41no—
1487C22×C4—44no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4—42no—
1492C22×C4—44no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—42no—
1499C22×C4—42no—
1500C22×C4—42no—
1501C22×C4—44no—
1502C22×C4—44no—
1503C22×C4—816no—
1504C22×C4C22×D418yes—
1505C22×C4C22×D414yes—
1506C22×C4C22×D414yes—
1507C22×C4C22×D418yes—
1508C22×C4C22×D414yes—
1509C22×C4C22×D418yes—
1510C22×C4C22×D418yes—
1511C22×C4C22×D418yes—
1512C22×C4C2511yescharacteristic
1513C22×C4C2512yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2512yes—
1516C22×C4C2512yes—
1517C22×C4C2512yes—
1518C22×C4C2514yes—
1519C22×C4C2514yes—
1520C22×C4C2511yescharacteristic
1521C22×C4C2512yes—
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2512yes—
1525C22×C4C2514yes—
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2514yes—
1529C22×C4C2512yes—
1530C22×C4C2512yes—
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2512yes—
1535C22×C4C2512yes—
1536C22×C4C2511yescharacteristic
1537C22×C4C2512yes—
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C22×C4C2511yescharacteristic
1541C4⋊C4—22no—
1542C4⋊C4—24no—
1543C4⋊C4—28no—
1544C4⋊C4—24no—
1545C4⋊C4—22no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—24no—
1549C4⋊C4—22no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—28no—
1554C4⋊C4—28no—
1555C4⋊C4—28no—
1556C4⋊C4—28no—
1557C4⋊C4—28no—
1558C4⋊C4—28no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—22no—
1564C4⋊C4—22no—
1565C4⋊C4—24no—
1566C4⋊C4—22no—
1567C4⋊C4—22no—
1568C4⋊C4—22no—
1569C4⋊C4—22no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—28no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—28no—
1581C4⋊C4—24no—
1582C4⋊C4—22no—
1583C4⋊C4—24no—
1584C4⋊C4—24no—
1585C4⋊C4—28no—
1586C4⋊C4—24no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—28no—
1591C4⋊C4—22no—
1592C4⋊C4—22no—
1593C4⋊C4—24no—
1594C4⋊C4—44no—
1595C4⋊C4—44no—
1596C4⋊C4—44no—
1597C4⋊C4—44no—
1598C4⋊C4—44no—
1599C4⋊C4—42no—
1600C4⋊C4—42no—
1601C4⋊C4—42no—
1602C4⋊C4—44no—
1603C4⋊C4—42no—
1604C4⋊C4—44no—
1605C4⋊C4—44no—
1606C4⋊C4—44no—
1607C4⋊C4—44no—
1608C4⋊C4—44no—
1609C4⋊C4—42no—
1610C4⋊C4—42no—
1611C4⋊C4C22×D414yes—
1612C4⋊C4C22×D414yes—
1613C4⋊C4C22×D418yes—
1614C4⋊C4H(5,𝔽2)14yes—
1615C22⋊C4—22no—
1616C22⋊C4—24no—
1617C22⋊C4—28no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—28no—
1624C22⋊C4—28no—
1625C22⋊C4—28no—
1626C22⋊C4—28no—
1627C22⋊C4—22no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—28no—
1632C22⋊C4—28no—
1633C22⋊C4—24no—
1634C22⋊C4—28no—
1635C22⋊C4—24no—
1636C22⋊C4—22no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—22no—
1643C22⋊C4—24no—
1644C22⋊C4—22no—
1645C22⋊C4—22no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—28no—
1651C22⋊C4—28no—
1652C22⋊C4—24no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—42no—
1660C22⋊C4—42no—
1661C22⋊C4—44no—
1662C22⋊C4—42no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—42no—
1671C22⋊C4—42no—
1672C22⋊C4C22×D418yes—
1673C22⋊C4C22×D418yes—
1674C22⋊C4C22×D418yes—
1675C22⋊C4C22×D418yes—
1676C42—22no—
1677C42—22no—
1678C42—24no—
1679C42—22no—
1680C42—24no—
1681C42—22no—
1682C42—24no—
1683C42—22no—
1684C42—22no—
1685C42—28no—
1686C42—24no—
1687C42—24no—
1688C42—24no—
1689C42—28no—
1690C42—24no—
1691C42—24no—
1692C42—44no—
1693C42—44no—
1694C42—42no—
1695C42—42no—
1696C42—42no—
1697C42C22×D414yes—
1698C42C22×D414yes—
1699C42C22×D414yes—
1700C42C22×D414yes—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—21no—
1706C23—21no—
1707C23—21no—
1708C23—22no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—22no—
1714C23—22no—
1715C23—21no—
1716C23—21no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—216no—
1724C23—22no—
1725C23—21no—
1726C23—22no—
1727C23—21no—
1728C23—21no—
1729C23—21no—
1730C23—22no—
1731C23—22no—
1732C23—21no—
1733C23—21no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—21no—
1738C23—48no—
1739C23—48no—
1740C23—48no—
1741C23—48no—
1742C23—48no—
1743C23—48no—
1744C23—84no—
1745C23—84no—
1746C23—84no—
1747C23—84no—
1748C23—84no—
1749C23—84no—
1750C23—84no—
1751C23C23×D412yes—
1752C23C23×D414yes—
1753C23C23×D414yes—
1754C23C2×2−1+414yes—
1755C23C2×2−1+414yes—
1756C23#58512yes—
1757C23C2611yescharacteristic
1758Q8—44no—
1759Q8—44no—
1760Q8—44no—
1761Q8—48no—
1762Q8—44no—
1763Q8—84no—
1764Q8—84no—
1765Q8—88no—
1766Q8—88no—
1767Q8—84no—
1768D4—28no—
1769D4—216no—
1770D4—28no—
1771D4—48no—
1772D4—44no—
1773D4—48no—
1774D4—48no—
1775D4—44no—
1776D4—48no—
1777D4—48no—
1778D4—44no—
1779D4—84no—
1780D4—84no—
1781D4—84no—
1782D4#536116yescomplemented
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—28no—
1800C2×C4—28no—
1801C2×C4—216no—
1802C2×C4—216no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—22no—
1811C2×C4—24no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—24no—
1819C2×C4—24no—
1820C2×C4—22no—
1821C2×C4—24no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—24no—
1830C2×C4—24no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—24no—
1844C2×C4—24no—
1845C2×C4—22no—
1846C2×C4—24no—
1847C2×C4—24no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—24no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—21no—
1855C2×C4—22no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—21no—
1860C2×C4—48no—
1861C2×C4—48no—
1862C2×C4—48no—
1863C2×C4—44no—
1864C2×C4—44no—
1865C2×C4—416no—
1866C2×C4—48no—
1867C2×C4—44no—
1868C2×C4—48no—
1869C2×C4—44no—
1870C2×C4—44no—
1871C2×C4—44no—
1872C2×C4—48no—
1873C2×C4—44no—
1874C2×C4—84no—
1875C2×C4—84no—
1876C2×C4—88no—
1877C2×C4—88no—
1878C2×C4—88no—
1879C2×C4—84no—
1880C2×C4—88no—
1881C2×C4—88no—
1882C2×C4C23×D412yes—
1883C2×C4C23×D412yes—
1884C2×C4C23×D414yes—
1885C2×C4C23×D412yes—
1886C2×C4C23×D412yes—
1887C2×C4C23×D414yes—
1888C2×C4C23×D412yes—
1889C2×C4C23×D412yes—
1890C2×C4C2×H(5,𝔽2)14yes—
1891C2×C4C2×H(5,𝔽2)12yes—
1892C2×C4C2×2−1+412yes—
1893C2×C4C2×2−1+412yes—
1894C2×C4#58512yes—
1895C2×C4#58512yes—
1896C22—24no—
1897C22—24no—
1898C22—24no—
1899C22—24no—
1900C22—24no—
1901C22—24no—
1902C22—22no—
1903C22—22no—
1904C22—24no—
1905C22—22no—
1906C22—22no—
1907C22—22no—
1908C22—24no—
1909C22—22no—
1910C22—24no—
1911C22—42no—
1912C22—41no—
1913C22—41no—
1914C22—42no—
1915C22—41no—
1916C22—41no—
1917C22—42no—
1918C22—41no—
1919C22—42no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—42no—
1925C22—41no—
1926C22—42no—
1927C22—42no—
1928C22—41no—
1929C22—41no—
1930C22—42no—
1931C22—41no—
1932C22—42no—
1933C22—41no—
1934C22—42no—
1935C22—41no—
1936C22—42no—
1937C22—816no—
1938C22—816no—
1939C22C2×#53618yes—
1940C22C24×D411yescharacteristic
1941C22C22×H(5,𝔽2)11yescharacteristic
1942C22C22×2−1+411yescharacteristic
1943C22C22×2−1+411yescharacteristic
1944C22C2×#58511yescharacteristic
1945C22C2×#58511yescharacteristic
1946C22C2×#58511yescharacteristic
1947C4—24no—
1948C4—22no—
1949C4—24no—
1950C4—24no—
1951C4—22no—
1952C4—22no—
1953C4—22no—
1954C4—22no—
1955C4—44no—
1956C4—44no—
1957C4—42no—
1958C4—41no—
1959C4—42no—
1960C4—41no—
1961C4—42no—
1962C4—44no—
1963C4—42no—
1964C4—42no—
1965C4—42no—
1966C4—42no—
1967C4—41no—
1968C4—42no—
1969C4—44no—
1970C4—42no—
1971C4—41no—
1972C4—41no—
1973C4—42no—
1974C4C2×#53614yes—
1975C4#349614yes—
1976C2—28no—
1977C2—44no—
1978C2—42no—
1979C2—42no—
1980C2—81no—
1981C2—82no—
1982C2C22×#53611yescharacteristic
1983C2C2×#349611yescharacteristic
1984C2#6281111yescharacteristic
1985C2#6301311yescharacteristic
1986C2#6301511yescharacteristic
1987C2#6302311yescharacteristic
1988C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3481C2
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×#3501C2semidirect
3. #42437C2semidirect
4. #42436C2semidirect
5. #40511C2semidirect
6. #40487C2semidirect
7. #39952C2semidirect
8. #39949C2semidirect
9. #39470C2semidirect
10. #39343C2semidirect
11. #38921C2semidirect
12. #38911C2semidirect
13. #38422C2semidirect
14. #38421C2semidirect
15. #38040C2semidirect
16. #38027C2semidirect
17. #37838C2semidirect
18. #37651C2semidirect
19. #37622C2semidirect
20. #37438C2semidirect
21. #36275C2semidirect
22. #36274C2semidirect
23. #36261C2semidirect
24. #36238C2semidirect
25. #36154C2semidirect
26. D4×C22⋊Q8C2semidirect
27. #35791C2semidirect
28. #35713C2semidirect
29. #35306C2semidirect
30. #35297C2semidirect
31. #35201C2semidirect
32. #35084C2semidirect
33. #34979C2semidirect
34. C2×#2415C2semidirect
35. D4×#117C2semidirect
43. C2×#554C22semidirect
44. C2×#554C22semidirect
45. C2×#554C22semidirect
46. C2×#554C22semidirect
53. C2×D4×Q8C22semidirect
54. C2×D4×Q8C22semidirect
59. C2×#544C22semidirect
60. C2×#543C22semidirect
61. C2×#536C22semidirect
62. C2×#533C22semidirect
63. C2×#533C22semidirect
70. C22×C22⋊Q8C22semidirect
71. C22×C22⋊Q8C22semidirect
72. C22×C22⋊Q8C22semidirect
79. C22×#117C22semidirect
80. #2861C22semidirect
81. #2859C22semidirect
82. #2857C22semidirect
83. #2857C22semidirect
84. #2857C22semidirect
85. #2857C22semidirect
86. #2857C22semidirect
87. #2855C22semidirect
88. #2855C22semidirect
89. #2850C22semidirect
90. #2848C22semidirect
91. #2848C22semidirect
92. #2817C22semidirect
93. #2816C22semidirect
94. #2814C22semidirect
95. #2721C22semidirect
96. #2719C22semidirect
97. #2716C22semidirect
98. #2713C22semidirect
99. #2700C22semidirect
100. #2700C22semidirect
101. #2698C22semidirect
102. #2698C22semidirect
103. #2694C22semidirect
104. #2690C22semidirect
105. #2689C22semidirect
106. #2689C22semidirect
107. #2687C22semidirect
108. #2687C22semidirect
109. #2681C22semidirect
110. #2681C22semidirect
111. #2680C22semidirect
112. #2680C22semidirect
113. #2677C22semidirect
114. #2674C22semidirect
115. #2674C22semidirect
116. #2674C22semidirect
117. #2672C22semidirect
118. #2672C22semidirect
119. #2664C22semidirect
120. #2663C22semidirect
121. #2663C22semidirect
122. #2663C22semidirect
124. #2638C22semidirect
125. #2628C22semidirect
126. #2625C22semidirect
127. #2625C22semidirect
128. #2625C22semidirect
129. #2625C22semidirect
132. #2622C22semidirect
133. #2621C22semidirect
134. #2621C22semidirect
135. #2620C22semidirect
137. #2616C22semidirect
138. #2616C22semidirect
139. #2611C22semidirect
140. #2611C22semidirect
141. #2604C22semidirect
142. #2592C22semidirect
143. #2591C22semidirect
144. #2584C22semidirect
145. #2584C22semidirect
146. #2583C22semidirect
147. #2583C22semidirect
148. #2582C22semidirect
149. #2582C22semidirect
150. #2581C22semidirect
151. #2568C22semidirect
152. #2568C22semidirect
153. #2567C22semidirect
154. #2563C22semidirect
155. #2562C22semidirect
156. #2561C22semidirect
157. #2552C22semidirect
158. #2551C22semidirect
159. #2550C22semidirect
160. #2550C22semidirect
161. #2549C22semidirect
162. #2549C22semidirect
163. #2547C22semidirect
164. #2546C22semidirect
165. #2542C22semidirect
166. #2542C22semidirect
167. #2538C22semidirect
168. #2538C22semidirect
169. #2536C22semidirect
171. #2499C22semidirect
172. #2499C22semidirect
173. #2492C22semidirect
174. #2491C22semidirect
175. #2490C22semidirect
176. #2489C22semidirect
177. #2488C22semidirect
178. #2488C22semidirect
179. #2487C22semidirect
180. #2487C22semidirect
181. #2486C22semidirect
182. #2486C22semidirect
184. #2485C22semidirect
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
216. #2422C22semidirect
218. #2420C22semidirect
219. #2419C22semidirect
220. #2419C22semidirect
223. #2417C22semidirect
224. #2417C22semidirect
225. #2417C22semidirect
226. #2417C22semidirect
231. #2415C22semidirect
232. #2415C22semidirect
233. #2415C22semidirect
234. #2415C22semidirect
235. #2415C22semidirect
236. #2415C22semidirect
237. #2415C22semidirect
238. #2415C22semidirect
239. #2415C22semidirect
240. #2415C22semidirect
241. #2415C22semidirect
242. #2415C22semidirect
243. #2415C22semidirect
244. #2415C22semidirect
245. #2413C22semidirect
246. #2413C22semidirect
248. #2412C22semidirect
249. #2409C22semidirect
250. #2409C22semidirect
251. #2409C22semidirect
252. #2409C22semidirect
255. #2395C22semidirect
256. C2×#397C22semidirect
258. #2354C22semidirect
259. #2354C22semidirect
260. #2352C22semidirect
261. #2352C22semidirect
268. #2344C22semidirect
269. #2342C22semidirect
275. #2323C22semidirect
276. #2323C22semidirect
277. #2323C22semidirect
278. #2323C22semidirect
279. #2322C22semidirect
280. #2322C22semidirect
281. #2317C22semidirect
282. #2311C22semidirect
283. #2310C22semidirect
284. C4×C4⋊Q8C22semidirect
285. C4×#124C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C2×#391C22semidirect
291. #2293C22semidirect
292. C2×#389C22semidirect
293. C2×#389C22semidirect
294. #2290C22semidirect
295. C2×#388C22semidirect
296. #2285C22semidirect
297. #2280C22semidirect
298. C2×#380C22semidirect
300. C4×#117C22semidirect
1782. D4#536semidirect

Maximal subgroups

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

subgroupindex
C2×#35012
C2×#34812
#424372
#424362
#405112
#404872
#399522
#399492
#394702
#393432
#389212
#389112
#384222
#384212
#380402
#380272
#378382
#376512
#376222
#374382
#362752
#362742
#362612
#362382
#361542
D4×C22⋊Q82
#357912
#357132
#353062
#352972
#352012
#350842
#349792
C2×#24152
D4×#1172