Finite Group Databasebeta

← #7658532

Subgroups — #7658532

Order 512.

6824 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3520C211yesmaximal, characteristic, complemented
2C2×#3505C211yesmaximal, characteristic, complemented
3#42386C212yesmaximal, complemented
4#42311C212yesmaximal, complemented
5#42172C212yesmaximal, complemented
6#42168C212yesmaximal, complemented
7#41422C212yesmaximal, complemented
8#41409C212yesmaximal, complemented
9#41382C212yesmaximal, complemented
10#41378C214yesmaximal, complemented
11#41373C212yesmaximal, complemented
12#40600C212yesmaximal, complemented
13#40595C212yesmaximal, complemented
14#40526C214yesmaximal, complemented
15#40508C214yesmaximal, complemented
16#40503C212yesmaximal, complemented
17#40492C212yesmaximal, complemented
18#37560C211yesmaximal, characteristic, complemented
19#37552C211yesmaximal, characteristic, complemented
20#37552C211yesmaximal, characteristic, complemented
21#37454C211yesmaximal, characteristic, complemented
22#37453C211yesmaximal, characteristic, complemented
23#37447C211yesmaximal, characteristic, complemented
24#37447C211yesmaximal, characteristic, complemented
25#37438C211yesmaximal, characteristic, complemented
26#37437C211yesmaximal, characteristic, complemented
27#36699C211yesmaximal, characteristic, complemented
28#36652C211yesmaximal, characteristic, complemented
29C2×#2816C211yesmaximal, characteristic, complemented
30#36061C212yesmaximal, complemented
31#36021C212yesmaximal, complemented
32#35940C212yesmaximal, complemented
33#35751C214yesmaximal, complemented
34#35729C212yesmaximal, complemented
35#34190C211yesmaximal, characteristic, complemented
36#3520—216no—
37#3505—216no—
38C2×#556C2211yescharacteristic, complemented
39C2×#554C2212yescomplemented
40C2×#553C2211yescharacteristic
41C2×#553C2212yes—
42C2×#553C2211yescharacteristic
43C2×#553C2212yes—
44C2×#552C2211yescharacteristic
45C2×#552C2211yescharacteristic
46C2×#552C2211yescharacteristic
47C2×#552C2211yescharacteristic, complemented
48C2×#551C2212yes—
49C2×#551C2212yes—
50C2×#551C2212yes—
51C2×#551C2212yescomplemented
52C2×D4×Q8C2211yescharacteristic
53C2×#548C2211yescharacteristic
54C2×#548C2211yescharacteristic
55C2×#548C2211yescharacteristic
56C2×#548C2211yescharacteristic, complemented
57C2×#547C2211yescharacteristic
58C2×#547C2211yescharacteristic, complemented
59C2×#546C2211yescharacteristic
60C2×#546C2211yescharacteristic
61C2×#546C2212yes—
62C2×#542C2212yescomplemented
63C2×#539C2212yes—
64C2×#539C2212yes—
65C2×#539C2212yescomplemented
66C2×#538C2212yes—
67C2×#534C2212yes—
68C2×#533C2211yescharacteristic, complemented
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic, complemented
72C2×#525C2211yescharacteristic
73C2×#525C2211yescharacteristic
74C2×#525C2211yescharacteristic
75C2×#525C2211yescharacteristic, complemented
76C22×C22⋊Q8C2211yescharacteristic
77C22×C22⋊Q8C2211yescharacteristic
78C22×C22⋊Q8C2211yescharacteristic, complemented
79C22×#121C2211yescharacteristic
80C2×#520C2212yes—
81C2×#518C2212yes—
82C22×C4×D4C2211yescharacteristic
83#2822C2212yescomplemented
84#2821C2212yescomplemented
85#2821C2212yescomplemented
86#2820C2212yescomplemented
87#2817C2211yescharacteristic, complemented
88#2817C2211yescharacteristic, complemented
89#2817C2211yescharacteristic, complemented
90#2817C2211yescharacteristic, complemented
91#2817C2211yescharacteristic, complemented
92#2817C2211yescharacteristic, complemented
93#2816C2211yescharacteristic
94#2816C2211yescharacteristic
95#2816C2211yescharacteristic
96#2816C2211yescharacteristic
97#2816C2214yes—
98#2816C2211yescharacteristic
99#2816C2211yescharacteristic
100#2816C2212yescomplemented
101#2816C2212yescomplemented
102#2816C2212yescomplemented
103#2816C2212yescomplemented
104#2816C2211yescharacteristic, complemented
105#2816C2211yescharacteristic, complemented
106#2815C2211yescharacteristic
107#2815C2211yescharacteristic
108#2814C2212yescomplemented
109#2814C2212yescomplemented
110#2814C2214yescomplemented
111#2813C2212yescomplemented
112#2813C2212yescomplemented
113#2812C2214yescomplemented
114#2726C2214yescomplemented
115#2723C2214yescomplemented
116#2722C2214yescomplemented
117#2716C2214yescomplemented
118#2710C2214yescomplemented
119#2707C2214yescomplemented
120#2706C2214yescomplemented
121#2704C2214yescomplemented
122#2701C2214yescomplemented
123#2701C2214yescomplemented
124#2699C2214yescomplemented
125#2695C2214yescomplemented
126#2692C2214yescomplemented
127#2691C2214yescomplemented
128#2688C2214yescomplemented
129#2687C2214yescomplemented
130#2686C2214yescomplemented
131#2686C2214yescomplemented
132#2682C2214yescomplemented
133#2681C2214yescomplemented
134#2677C2214yescomplemented
135#2674C2214yescomplemented
136#2671C2214yescomplemented
137#2671C2214yescomplemented
138#2664C2212yescomplemented
139#2664C2212yescomplemented
140#2663C2214yescomplemented
141#2663C2212yescomplemented
142#2663C2212yescomplemented
143#2662C2212yescomplemented
144#2662C2212yescomplemented
145#2661C2212yescomplemented
146#2661C2212yescomplemented
147#2659C2212yescomplemented
148#2659C2212yescomplemented
149#2639C2212yescomplemented
150#2639C2212yescomplemented
151#2638C2212yescomplemented
152#2638C2214yescomplemented
153#2638C2214yescomplemented
154#2638C2212yescomplemented
155#2637C2212yescomplemented
156#2637C2212yescomplemented
157#2636C2212yescomplemented
158#2636C2212yescomplemented
159#2635C2212yescomplemented
160#2635C2212yescomplemented
161#2634C2212yescomplemented
162#2632C2212yescomplemented
163#2630C2214yescomplemented
164#2630C2214yescomplemented
165#2628C2212yescomplemented
166#2628C2212yescomplemented
167#2627C2212yescomplemented
168#2627C2212yescomplemented
169#2627C2212yescomplemented
170#2627C2212yescomplemented
171#2625C2212yescomplemented
172#2624C2212yescomplemented
173#2623C2212yescomplemented
174#2623C2212yescomplemented
175#2622C2214yescomplemented
176#2621C2214yescomplemented
177#2617C2214yescomplemented
178#2616C2212yescomplemented
179#2615C2212yescomplemented
180#2614C2212yescomplemented
181#2614C2212yescomplemented
182#2613C2214yes—
183#2611C2212yescomplemented
184#2611C2212yescomplemented
185#2610C2212yescomplemented
186#2610C2212yescomplemented
187#2604C2212yescomplemented
188#2604C2212yescomplemented
189#2602C2214yescomplemented
190#2602C2214yescomplemented
191#2600C2214yescomplemented
192#2599C2212yescomplemented
193#2599C2212yescomplemented
194#2598C2212yescomplemented
195#2598C2212yescomplemented
196#2591C2212yescomplemented
197#2584C2212yescomplemented
198#2583C2212yescomplemented
199#2564C2212yescomplemented
200#2564C2212yescomplemented
201#2564C2212yescomplemented
202#2564C2212yescomplemented
203#2562C2212yescomplemented
204#2561C2212yescomplemented
205#2560C2214yescomplemented
206#2557C2214yescomplemented
207#2556C2214yescomplemented
208#2553C2214yescomplemented
209#2539C2212yescomplemented
210#2534C2214yes—
211#2521C2214yescomplemented
212#2519C2214yescomplemented
213#2503C2212yescomplemented
214#2503C2212yescomplemented
215#2498C2212yescomplemented
216#2498C2212yescomplemented
217#2491C2214yescomplemented
218#2487C2212yescomplemented
219#2486C2214yes—
220#2486C2212yescomplemented
221#2485C2214yescomplemented
222#2484C2212yescomplemented
223#2484C2212yescomplemented
224#2483C2214yes—
225#2478C2214yescomplemented
226#2476C2214yescomplemented
227#2473C2214yescomplemented
228#2468C2214yescomplemented
229#2468C2214yescomplemented
230#2468C2214yescomplemented
231#2466C2214yescomplemented
232#2466C2214yescomplemented
233#2464C2214yescomplemented
234#2462C2214yescomplemented
235#2461C2214yescomplemented
236#2459C2214yescomplemented
237#2458C2214yescomplemented
238#2457C2214yescomplemented
239#2455C2214yescomplemented
240#2452C2214yescomplemented
241#2443C2214yescomplemented
242#2438C2214yescomplemented
243#2437C2214yescomplemented
244#2434C2212yescomplemented
245#2434C2212yescomplemented
246#2430C2212yescomplemented
247#2430C2212yescomplemented
248#2425C2214yes—
249#2424C2214yes—
250#2419C2214yes—
251#2418C2214yes—
252#2415C2214yescomplemented
253#2414C2214yes—
254#2413C2214yescomplemented
255#2412C2214yes—
256#2412C2214yescomplemented
257#2412C2214yescomplemented
258#2409C2212yescomplemented
259#2408C2212yescomplemented
260#2406C2214yes—
261#2406C2212yescomplemented
262#2406C2212yescomplemented
263#2404C2214yes—
264#2399C2212yescomplemented
265#2398C2212yescomplemented
266#2396C2212yescomplemented
267#2396C2212yescomplemented
268#2395C2212yescomplemented
269#2395C2212yescomplemented
270#2395C2214yescomplemented
271C2×#399C2212yescomplemented
272#2392C2214yescomplemented
273C2×#398C2212yescomplemented
274#2388C2212yescomplemented
275#2388C2212yescomplemented
276C2×#394C2214yes—
277C2×#394C2212yescomplemented
278C2×#393C2212yescomplemented
279#2359C2214yescomplemented
280#2358C2214yescomplemented
281#2357C2212yescomplemented
282#2353C2212yes—
283#2353C2212yescomplemented
284#2349C2212yes—
285#2344C2212yescomplemented
286#2344C2214yescomplemented
287#2342C2212yes—
288#2342C2212yescomplemented
289#2342C2214yescomplemented
290D4×C22⋊C4C2212yes—
291#2319C2212yescomplemented
292#2318C2212yes—
293#2318C2212yescomplemented
294#2283C2211yescharacteristic, complemented
295#2283C2211yescharacteristic, complemented
296#2280C2211yescharacteristic
297#2280C2211yescharacteristic, complemented
298C2×#381C2211yescharacteristic
299C2×#381C2211yescharacteristic, complemented
300#2275C2212yes—
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×Q8C2311yescharacteristic
308C23×Q8C2311yescharacteristic
309C23×D4C2312yes—
310C23×D4C2311yescharacteristic
311C23×D4C2311yescharacteristic
312C24×C4C2311yescharacteristic
313C24×C4C2311yescharacteristic
314#556—28no—
315#554—216no—
316#553—28no—
317#553—28no—
318#553—216no—
319#553—216no—
320#552—28no—
321#552—28no—
322#552—28no—
323#552—28no—
324#551—216no—
325#551—216no—
326#551—216no—
327#551—216no—
328D4×Q8—28no—
329#548—28no—
330#548—28no—
331#548—28no—
332#548—28no—
333#547—28no—
334#547—28no—
335#546—216no—
336#546—28no—
337#546—28no—
338#542—216no—
339#539—216no—
340#539—216no—
341#539—216no—
342#538—216no—
343#534—216no—
344#533—28no—
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2314yes—
349#529—28no—
350#529—28no—
351#529—28no—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#125C2312yes—
364C2×#125C2311yescharacteristic
365C2×#125C2311yescharacteristic
366C2×#125C2311yescharacteristic
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#124C2311yescharacteristic
372C2×#124C2311yescharacteristic
373C2×#124C2311yescharacteristic
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379#525—28no—
380#525—28no—
381#525—28no—
382#525—28no—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2314yes—
403C2×#123C2314yes—
404C2×#123C2314yes—
405C2×C22⋊Q8—28no—
406C2×C22⋊Q8—28no—
407C2×C22⋊Q8—28no—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2314yes—
438C2×#121—28no—
439C2×#121C2311yescharacteristic
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2311yescharacteristic
444C2×#121C2311yescharacteristic
445C2×#121C2311yescharacteristic
446C2×#121C2311yescharacteristic
447C2×#121C2311yescharacteristic
448C2×#121C2311yescharacteristic
449C2×#121C2311yescharacteristic
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2314yes—
460C2×#121C2314yes—
461C2×#120C2312yes—
462C2×#120C2312yes—
463C2×#120C2312yes—
464C2×#120C2312yes—
465C2×#120C2312yes—
466C2×#120C2312yes—
467C2×#120C2314yes—
468#520—216no—
469#518—216no—
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2311yescharacteristic
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2312yes—
476C2×C4×Q8C2312yes—
477C2×C4×D4D4116yescomplemented
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2314yes—
500C2×C4×D4C2314yes—
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2311yescharacteristic
506C2×C4×D4C2311yescharacteristic
507C2×C4×D4C2311yescharacteristic
508C2×C4×D4C2311yescharacteristic
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2312yes—
512C2×#117C2312yes—
513C2×#117C2312yes—
514C2×#117C2311yescharacteristic
515C2×#117C2311yescharacteristic
516C2×#117C2311yescharacteristic
517C2×#117C2311yescharacteristic
518C2×#117C2312yes—
519C2×#117C2312yes—
520C2×#117C2312yes—
521C2×#117C2312yes—
522C2×#117C2312yes—
523C22×C4⋊C4C2312yes—
524C22×C4⋊C4C2311yescharacteristic
525C22×C4⋊C4C2311yescharacteristic
526C22×C4⋊C4C2312yes—
527C22×C4⋊C4C2312yes—
528C22×C4⋊C4C2311yescharacteristic
529C22×C4⋊C4C2311yescharacteristic
530C22×C4⋊C4C2312yes—
531C22×C4⋊C4C2314yes—
532C22×C4⋊C4C2311yescharacteristic
533C22×C22⋊C4C2312yes—
534C22×C22⋊C4C2312yes—
535C22×C22⋊C4C2312yes—
536C22×C22⋊C4C2312yes—
537C22×C22⋊C4C2312yes—
538C22×C22⋊C4C2312yes—
539C22×C22⋊C4C2314yes—
540C22×C22⋊C4C2312yes—
541C22×C22⋊C4C2312yes—
542C22×C22⋊C4C2314yes—
543C22×C22⋊C4C2311yescharacteristic
544C22×C22⋊C4C2311yescharacteristic
545C22×C42C2311yescharacteristic
546#400C2312yes—
547#400C2312yes—
548#400C2312yes—
549#400C2312yes—
550#400C2312yes—
551#400C2312yes—
552#400C2312yes—
553#400C2312yes—
554#400C2312yes—
555#400C2312yes—
556#400C2312yes—
557#400C2312yes—
558#400C2314yes—
559#400C2314yes—
560#399C2312yes—
561#399C2312yes—
562#399C2312yes—
563#399C2312yes—
564#399C2314yes—
565#399C2314yes—
566#399C2312yes—
567#399C2312yes—
568#399C2312yes—
569#399C2312yes—
570#399C2314yes—
571#399C2314yes—
572#398C2314yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2314yes—
578#398C2314yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2314yes—
584#398C2314yes—
585#398C2314yes—
586#398C2314yes—
587#398C2314yes—
588#398C2314yes—
589#398C2314yes—
590#398C2314yes—
591#398C2314yes—
592#398C2314yes—
593#398C2314yes—
594#398C2314yes—
595#397C2314yes—
596#397C2312yes—
597#397C2312yes—
598#397C2314yes—
599#397C2314yes—
600#397C2314yes—
601#397C2314yes—
602#397C2314yes—
603#397C2314yes—
604#397C2314yes—
605#397C2314yes—
606#397C2312yes—
607#397C2312yes—
608#397C2314yes—
609#397C2314yes—
610#397C2314yes—
611#397C2314yes—
612#397C2314yes—
613#397C2314yes—
614#396C2314yes—
615#396C2314yes—
616#396C2314yes—
617#396C2314yes—
618#396C2314yes—
619#396C2314yes—
620#396C2314yes—
621#396C2314yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2314yes—
635#395C2314yes—
636#395C2314yes—
637#395C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#394C2314yes—
642#394C2314yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2314yes—
648#394C2314yes—
649#394C2312yes—
650#394C2312yes—
651#394C2314yes—
652#394C2314yes—
653#394C2314yes—
654#394C2314yes—
655#394C2314yes—
656#394C2314yes—
657#394C2312yes—
658#394C2314yes—
659#394C2314yes—
660#394C2312yes—
661#394C2314yes—
662#394C2314yes—
663#394C2314yes—
664#394C2314yes—
665#394C2314yes—
666#394C2314yes—
667#394C2314yes—
668#394C2314yes—
669#394C2314yes—
670#394C2314yes—
671#394C2314yes—
672#394C2314yes—
673#393C2314yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2314yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2314yes—
684#393C2314yes—
685#393C2314yes—
686#393C2314yes—
687#392C2312yes—
688#392C2312yes—
689#392C2314yes—
690#392C2314yes—
691#392C2312yes—
692#392C2312yes—
693#392C2314yes—
694#392C2314yes—
695#392C2314yes—
696#392C2314yes—
697#392C2314yes—
698#391C2314yes—
699#391C2314yes—
700#391C2314yes—
701#390C2314yes—
702#390C2314yes—
703#390C2314yes—
704#390C2314yes—
705#390C2314yes—
706#390C2314yes—
707#389C2314yes—
708#389C2314yes—
709#389C2314yes—
710#389C2314yes—
711#389C2314yes—
712#389C2314yes—
713#389C2314yes—
714#389C2314yes—
715#389C2314yes—
716#389C2314yes—
717#389C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#383C2312yes—
793#383C2312yes—
794#382C2312yes—
795#382C2312yes—
796#382C2314yes—
797#381C2311yescharacteristic
798#381C2311yescharacteristic
799#381C2312yes—
800#381C2311yescharacteristic
801#381C2311yescharacteristic
802#381C2312yes—
803#381C2312yes—
804#381C2314yes—
805#381C2312yes—
806#381C2312yes—
807#381C2314yes—
808#381C2314yes—
809#381C2312yes—
810#381C2314yes—
811#381C2314yes—
812#381C2314yes—
813#381C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2314yes—
817#380C2314yes—
818#380C2314yes—
819#380C2314yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2312yes—
825#380C2312yes—
826#380C2314yes—
827#380C2314yes—
828#380C2314yes—
829#379C2314yes—
830#379C2312yes—
831#379C2312yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2314yes—
837C4×C4⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2314yes—
850#376C2312yes—
851#376C2312yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C2×#95C2312yes—
855C2×#95C2312yes—
856C2×#95C2314yes—
857C25C2412yes—
858C25C2411yescharacteristic
859C25C2411yescharacteristic
860C2×#41—28no—
861C2×#41—24no—
862C2×#41—24no—
863C2×#41—24no—
864C2×#41—24no—
865C2×#41—44no—
866C2×#41—44no—
867C2×#41—82no—
868C2×#41—82no—
869C2×#41—82no—
870C2×#41—82no—
871C22×Q8—24no—
872C22×Q8—24no—
873C22×Q8—24no—
874C22×Q8—82no—
875C22×Q8—82no—
876C22×Q8—82no—
877C22×Q8C2412yes—
878C22×Q8C2411yescharacteristic
879C22×Q8C2411yescharacteristic
880C22×Q8C2411yescharacteristic
881C22×Q8C2411yescharacteristic
882C22×Q8C2411yescharacteristic
883C22×Q8C2412yes—
884C22×Q8C2412yes—
885C22×Q8C2412yes—
886C22×D4—28no—
887C22×D4—24no—
888C22×D4—48no—
889C22×D4—44no—
890C22×D4—82no—
891C22×D4C2×D418yes—
892C22×D4C2412yes—
893C22×D4C2411yescharacteristic
894C22×D4C2411yescharacteristic
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2411yescharacteristic
904C22×D4C2411yescharacteristic
905C22×D4C2411yescharacteristic
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2411yescharacteristic
914C22×D4C2411yescharacteristic
915C23×C4—82no—
916C23×C4—82no—
917C23×C4C2×D418yes—
918C23×C4C2×D418yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2414yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2414yes—
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2411yescharacteristic
940C23×C4C2411yescharacteristic
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C23×C4C2411yescharacteristic
946C23×C4C2411yescharacteristic
947C23×C4C2411yescharacteristic
948C4⋊Q8—28no—
949C4⋊Q8—24no—
950C4⋊Q8—24no—
951C4⋊Q8—84no—
952#126—28no—
953#126—28no—
954#126—28no—
955#126—28no—
956#126—28no—
957#126—28no—
958#126—28no—
959#126—28no—
960#126—28no—
961#126—28no—
962#126—28no—
963#125—28no—
964#125—28no—
965#125—28no—
966#125—28no—
967#125—24no—
968#125—24no—
969#125—24no—
970#125—28no—
971#124—28no—
972#124—28no—
973#124—28no—
974#124—28no—
975#124—28no—
976#124—24no—
977#124—24no—
978#124—24no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—28no—
987#123—28no—
988#123—28no—
989#123—28no—
990#123—28no—
991#123—28no—
992#123—28no—
993#123—28no—
994#123—28no—
995#123—28no—
996#123—28no—
997#123—28no—
998#123—48no—
999#123—84no—
1000#123—84no—
1001C22⋊Q8—24no—
1002C22⋊Q8—24no—
1003C22⋊Q8—24no—
1004C22⋊Q8—24no—
1005C22⋊Q8—24no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—28no—
1009C22⋊Q8—24no—
1010C22⋊Q8—24no—
1011C22⋊Q8—24no—
1012C22⋊Q8—24no—
1013C22⋊Q8—24no—
1014C22⋊Q8—24no—
1015C22⋊Q8—28no—
1016C22⋊Q8—28no—
1017C22⋊Q8—28no—
1018C22⋊Q8—24no—
1019C22⋊Q8—24no—
1020C22⋊Q8—24no—
1021C22⋊Q8—24no—
1022C22⋊Q8—28no—
1023C22⋊Q8—28no—
1024C22⋊Q8—28no—
1025C22⋊Q8—28no—
1026C22⋊Q8—28no—
1027C22⋊Q8—28no—
1028C22⋊Q8—28no—
1029C22⋊Q8—28no—
1030C22⋊Q8—84no—
1031#121—28no—
1032#121—28no—
1033#121—28no—
1034#121—28no—
1035#121—28no—
1036#121—28no—
1037#121—28no—
1038#121—24no—
1039#121—24no—
1040#121—28no—
1041#121—24no—
1042#121—24no—
1043#121—28no—
1044#121—24no—
1045#121—24no—
1046#121—24no—
1047#121—24no—
1048#121—24no—
1049#121—28no—
1050#121—28no—
1051#121—84no—
1052#121—84no—
1053#120—28no—
1054#120—28no—
1055#120—28no—
1056#120—28no—
1057#120—28no—
1058#120—28no—
1059#120—48no—
1060C4×Q8—28no—
1061C4×Q8—28no—
1062C4×Q8—24no—
1063C4×Q8—24no—
1064C4×Q8—24no—
1065C4×Q8—24no—
1066C4×Q8—24no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—28no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—28no—
1084C4×D4—28no—
1085C4×D4—24no—
1086C4×D4—24no—
1087C4×D4—24no—
1088C4×D4—48no—
1089C4×D4—84no—
1090C4×D4C2×D418yes—
1091C4×D4C2×D418yes—
1092C4×D4C2×D418yes—
1093C4×D4C2×D418yes—
1094C4×D4C2×D418yes—
1095C4×D4C2×D418yes—
1096C4×D4C2×D418yes—
1097C4×D4C2×D418yes—
1098#117—24no—
1099#117—24no—
1100#117—24no—
1101#117—24no—
1102#117—28no—
1103#117—28no—
1104#117—28no—
1105#117—28no—
1106#117—28no—
1107#117—28no—
1108#117—28no—
1109#117—28no—
1110#117—82no—
1111#117—82no—
1112C2×C4⋊C4—28no—
1113C2×C4⋊C4—28no—
1114C2×C4⋊C4—24no—
1115C2×C4⋊C4—24no—
1116C2×C4⋊C4—24no—
1117C2×C4⋊C4—24no—
1118C2×C4⋊C4—28no—
1119C2×C4⋊C4—28no—
1120C2×C4⋊C4—48no—
1121C2×C4⋊C4C2×D418yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2411yescharacteristic
1182C2×C4⋊C4C2411yescharacteristic
1183C2×C4⋊C4C2411yescharacteristic
1184C2×C4⋊C4C2411yescharacteristic
1185C2×C22⋊C4—28no—
1186C2×C22⋊C4—28no—
1187C2×C22⋊C4—28no—
1188C2×C22⋊C4—28no—
1189C2×C22⋊C4—28no—
1190C2×C22⋊C4—28no—
1191C2×C22⋊C4—48no—
1192C2×C22⋊C4—82no—
1193C2×C22⋊C4—82no—
1194C2×C22⋊C4—84no—
1195C2×C22⋊C4C2×D418yes—
1196C2×C22⋊C4C2×D418yes—
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⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2414yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2414yes—
1264C2×C22⋊C4C2411yescharacteristic
1265C2×C22⋊C4C2411yescharacteristic
1266C2×C22⋊C4C2411yescharacteristic
1267C2×C22⋊C4C2411yescharacteristic
1268C2×C22⋊C4C2411yescharacteristic
1269C2×C22⋊C4C2411yescharacteristic
1270C2×C22⋊C4C2411yescharacteristic
1271C2×C22⋊C4C2411yescharacteristic
1272C2×C42C2×D418yes—
1273C2×C42C2412yes—
1274C2×C42C2412yes—
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2412yes—
1281C2×C42C2412yes—
1282C2×C42C2414yes—
1283C2×C42C2414yes—
1284C2×C42C2414yes—
1285C2×C42C2414yes—
1286C2×C42C2411yescharacteristic
1287C2×C42C2411yescharacteristic
1288C2×C42C2411yescharacteristic
1289C2×C42C2411yescharacteristic
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2412yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2412yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334C24—24no—
1335C24—24no—
1336C24—28no—
1337C24—42no—
1338C24—42no—
1339C24—42no—
1340C24—42no—
1341C24—42no—
1342C24—44no—
1343C24—42no—
1344C24—42no—
1345C24C22×D414yes—
1346C24C22×D414yes—
1347C24C2512yes—
1348C24C2512yes—
1349C24C2512yes—
1350C24C2511yescharacteristic
1351C24C2511yescharacteristic
1352C24C2511yescharacteristic
1353C24C2511yescharacteristic
1354C24C2511yescharacteristic
1355#41—432no—
1356#41—88no—
1357#41—88no—
1358#41—88no—
1359#41—88no—
1360C2×Q8—24no—
1361C2×Q8—22no—
1362C2×Q8—22no—
1363C2×Q8—22no—
1364C2×Q8—22no—
1365C2×Q8—22no—
1366C2×Q8—24no—
1367C2×Q8—24no—
1368C2×Q8—24no—
1369C2×Q8—42no—
1370C2×Q8—42no—
1371C2×Q8—42no—
1372C2×Q8—42no—
1373C2×Q8—42no—
1374C2×Q8—42no—
1375C2×Q8—42no—
1376C2×Q8—44no—
1377C2×Q8—44no—
1378C2×Q8—44no—
1379C2×Q8—88no—
1380C2×Q8—88no—
1381C2×Q8—88no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—24no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—44no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—416no—
1431C2×D4—432no—
1432C2×D4—88no—
1433C2×D4C22×D414yes—
1434C2×D4C22×D414yes—
1435C2×D4C22×D414yes—
1436C2×D4C22×D414yes—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—28no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—28no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—42no—
1484C22×C4—44no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—44no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—88no—
1491C22×C4—88no—
1492C22×C4C22×D414yes—
1493C22×C4C22×D414yes—
1494C22×C4C22×D414yes—
1495C22×C4C22×D414yes—
1496C22×C4C22×D414yes—
1497C22×C4C22×D414yes—
1498C22×C4C22×D414yes—
1499C22×C4C22×D414yes—
1500C22×C4C22×D414yes—
1501C22×C4C22×D414yes—
1502C22×C4C22×D414yes—
1503C22×C4C22×D414yes—
1504C22×C4C22×D414yes—
1505C22×C4C2514yes—
1506C22×C4C2514yes—
1507C22×C4C2514yes—
1508C22×C4C2514yes—
1509C22×C4C2512yes—
1510C22×C4C2512yes—
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2512yes—
1516C22×C4C2512yes—
1517C22×C4C2512yes—
1518C22×C4C2512yes—
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2512yes—
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2511yescharacteristic
1527C22×C4C2511yescharacteristic
1528C22×C4C2511yescharacteristic
1529C22×C4C2511yescharacteristic
1530C22×C4C2511yescharacteristic
1531C22×C4C2511yescharacteristic
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—22no—
1536C4⋊C4—22no—
1537C4⋊C4—22no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—22no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—44no—
1576C4⋊C4—44no—
1577C4⋊C4—44no—
1578C4⋊C4—44no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4C22×D414yes—
1592C4⋊C4C22×D414yes—
1593C4⋊C4C22×D414yes—
1594C4⋊C4C22×D414yes—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—28no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—42no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—42no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4C22×D414yes—
1663C22⋊C4C22×D414yes—
1664C22⋊C4C22×D414yes—
1665C22⋊C4C22×D414yes—
1666C22⋊C4C22×D414yes—
1667C22⋊C4C22×D414yes—
1668C22⋊C4C22×D414yes—
1669C22⋊C4C22×D414yes—
1670C42—24no—
1671C42—24no—
1672C42—24no—
1673C42—24no—
1674C42—24no—
1675C42—24no—
1676C42—24no—
1677C42—24no—
1678C42—24no—
1679C42—44no—
1680C42—44no—
1681C42—44no—
1682C42—44no—
1683C42C22×D414yes—
1684C42C22×D414yes—
1685C42C22×D414yes—
1686C42C22×D414yes—
1687C23—22no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—28no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—24no—
1707C23—24no—
1708C23—22no—
1709C23—24no—
1710C23—24no—
1711C23—24no—
1712C23—22no—
1713C23—22no—
1714C23—24no—
1715C23—22no—
1716C23—22no—
1717C23—44no—
1718C23—44no—
1719C23—44no—
1720C23—44no—
1721C23—44no—
1722C23—48no—
1723C23—88no—
1724C23—84no—
1725C23—88no—
1726C23—88no—
1727C23—84no—
1728C23—88no—
1729C23C23×D412yes—
1730C23C23×D412yes—
1731C23C23×D412yes—
1732C23C23×D412yes—
1733C23C23×D412yes—
1734C23#58514yes—
1735C23C2611yescharacteristic
1736Q8—44no—
1737Q8—44no—
1738Q8—44no—
1739Q8—44no—
1740Q8—44no—
1741Q8—48no—
1742Q8—84no—
1743Q8—84no—
1744Q8—84no—
1745D4—28no—
1746D4—28no—
1747D4—44no—
1748D4—44no—
1749D4—44no—
1750D4—44no—
1751D4—44no—
1752D4—48no—
1753D4—48no—
1754D4—48no—
1755D4—48no—
1756D4—48no—
1757D4—48no—
1758D4—48no—
1759D4—84no—
1760D4—84no—
1761D4—84no—
1762D4—84no—
1763D4—84no—
1764D4—84no—
1765D4—84no—
1766D4—88no—
1767D4—164no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—24no—
1792C2×C4—24no—
1793C2×C4—24no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—24no—
1798C2×C4—24no—
1799C2×C4—24no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—24no—
1804C2×C4—24no—
1805C2×C4—24no—
1806C2×C4—24no—
1807C2×C4—24no—
1808C2×C4—24no—
1809C2×C4—24no—
1810C2×C4—24no—
1811C2×C4—24no—
1812C2×C4—24no—
1813C2×C4—24no—
1814C2×C4—24no—
1815C2×C4—24no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—24no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—44no—
1822C2×C4—44no—
1823C2×C4—44no—
1824C2×C4—44no—
1825C2×C4—44no—
1826C2×C4—44no—
1827C2×C4—44no—
1828C2×C4—44no—
1829C2×C4—44no—
1830C2×C4—44no—
1831C2×C4—44no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—48no—
1835C2×C4—48no—
1836C2×C4—48no—
1837C2×C4—48no—
1838C2×C4—84no—
1839C2×C4—84no—
1840C2×C4—84no—
1841C2×C4—84no—
1842C2×C4—84no—
1843C2×C4—84no—
1844C2×C4—88no—
1845C2×C4—84no—
1846C2×C4—84no—
1847C2×C4—84no—
1848C2×C4—84no—
1849C2×C4—164no—
1850C2×C4C23×D412yes—
1851C2×C4C23×D412yes—
1852C2×C4C23×D412yes—
1853C2×C4C23×D412yes—
1854C2×C4C23×D412yes—
1855C2×C4C23×D412yes—
1856C2×C4C23×D412yes—
1857C2×C4C23×D412yes—
1858C2×C4C23×D412yes—
1859C2×C4C23×D412yes—
1860C22—28no—
1861C22—22no—
1862C22—22no—
1863C22—22no—
1864C22—22no—
1865C22—22no—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—44no—
1876C22—44no—
1877C22—44no—
1878C22—44no—
1879C22—44no—
1880C22—44no—
1881C22—44no—
1882C22—44no—
1883C22—44no—
1884C22—44no—
1885C22—42no—
1886C22—42no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—42no—
1892C22—42no—
1893C22—42no—
1894C22—88no—
1895C22—88no—
1896C22—168no—
1897C22#344914yes—
1898C22C24×D411yescharacteristic
1899C22C2×#58512yes—
1900C22H(7,𝔽2)12yes—
1901C222−1+612yes—
1902C4—22no—
1903C4—22no—
1904C4—22no—
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—22no—
1912C4—44no—
1913C4—44no—
1914C4—44no—
1915C4—44no—
1916C4—42no—
1917C4—42no—
1918C4—42no—
1919C4—42no—
1920C4—42no—
1921C4—42no—
1922C4—42no—
1923C4—42no—
1924C4—42no—
1925C4—42no—
1926C4—42no—
1927C4—42no—
1928C4—42no—
1929C2—24no—
1930C2—42no—
1931C2—42no—
1932C2—42no—
1933C2—42no—
1934C2—82no—
1935C2—82no—
1936C2—82no—
1937C2C2×#344911yescharacteristic
1938C2#6284211yescharacteristic
1939C2#6285911yescharacteristic
1940C2#6305014yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3520C2semidirect
2. C2×#3505C2semidirect
3. #42386C2semidirect
4. #42311C2semidirect
5. #42172C2semidirect
6. #42168C2semidirect
7. #41422C2semidirect
8. #41409C2semidirect
9. #41382C2semidirect
10. #41378C2semidirect
11. #41373C2semidirect
12. #40600C2semidirect
13. #40595C2semidirect
14. #40526C2semidirect
15. #40508C2semidirect
16. #40503C2semidirect
17. #40492C2semidirect
18. #37560C2semidirect
19. #37552C2semidirect
20. #37552C2semidirect
21. #37454C2semidirect
22. #37453C2semidirect
23. #37447C2semidirect
24. #37447C2semidirect
25. #37438C2semidirect
26. #37437C2semidirect
27. #36699C2semidirect
28. #36652C2semidirect
29. C2×#2816C2semidirect
30. #36061C2semidirect
31. #36021C2semidirect
32. #35940C2semidirect
33. #35751C2semidirect
34. #35729C2semidirect
35. #34190C2semidirect
38. C2×#556C22semidirect
39. C2×#554C22semidirect
47. C2×#552C22semidirect
51. C2×#551C22semidirect
56. C2×#548C22semidirect
58. C2×#547C22semidirect
62. C2×#542C22semidirect
65. C2×#539C22semidirect
68. C2×#533C22semidirect
71. C2×#529C22semidirect
75. C2×#525C22semidirect
78. C22×C22⋊Q8C22semidirect
83. #2822C22semidirect
84. #2821C22semidirect
85. #2821C22semidirect
86. #2820C22semidirect
87. #2817C22semidirect
88. #2817C22semidirect
89. #2817C22semidirect
90. #2817C22semidirect
91. #2817C22semidirect
92. #2817C22semidirect
100. #2816C22semidirect
101. #2816C22semidirect
102. #2816C22semidirect
103. #2816C22semidirect
104. #2816C22semidirect
105. #2816C22semidirect
108. #2814C22semidirect
109. #2814C22semidirect
110. #2814C22semidirect
111. #2813C22semidirect
112. #2813C22semidirect
113. #2812C22semidirect
114. #2726C22semidirect
115. #2723C22semidirect
116. #2722C22semidirect
117. #2716C22semidirect
118. #2710C22semidirect
119. #2707C22semidirect
120. #2706C22semidirect
121. #2704C22semidirect
122. #2701C22semidirect
123. #2701C22semidirect
124. #2699C22semidirect
125. #2695C22semidirect
126. #2692C22semidirect
127. #2691C22semidirect
128. #2688C22semidirect
129. #2687C22semidirect
130. #2686C22semidirect
131. #2686C22semidirect
132. #2682C22semidirect
133. #2681C22semidirect
134. #2677C22semidirect
135. #2674C22semidirect
136. #2671C22semidirect
137. #2671C22semidirect
138. #2664C22semidirect
139. #2664C22semidirect
140. #2663C22semidirect
141. #2663C22semidirect
142. #2663C22semidirect
143. #2662C22semidirect
144. #2662C22semidirect
145. #2661C22semidirect
146. #2661C22semidirect
147. #2659C22semidirect
148. #2659C22semidirect
149. #2639C22semidirect
150. #2639C22semidirect
151. #2638C22semidirect
152. #2638C22semidirect
153. #2638C22semidirect
154. #2638C22semidirect
155. #2637C22semidirect
156. #2637C22semidirect
157. #2636C22semidirect
158. #2636C22semidirect
159. #2635C22semidirect
160. #2635C22semidirect
161. #2634C22semidirect
162. #2632C22semidirect
163. #2630C22semidirect
164. #2630C22semidirect
165. #2628C22semidirect
166. #2628C22semidirect
167. #2627C22semidirect
168. #2627C22semidirect
169. #2627C22semidirect
170. #2627C22semidirect
171. #2625C22semidirect
172. #2624C22semidirect
173. #2623C22semidirect
174. #2623C22semidirect
175. #2622C22semidirect
176. #2621C22semidirect
177. #2617C22semidirect
178. #2616C22semidirect
179. #2615C22semidirect
180. #2614C22semidirect
181. #2614C22semidirect
183. #2611C22semidirect
184. #2611C22semidirect
185. #2610C22semidirect
186. #2610C22semidirect
187. #2604C22semidirect
188. #2604C22semidirect
189. #2602C22semidirect
190. #2602C22semidirect
191. #2600C22semidirect
192. #2599C22semidirect
193. #2599C22semidirect
194. #2598C22semidirect
195. #2598C22semidirect
196. #2591C22semidirect
197. #2584C22semidirect
198. #2583C22semidirect
199. #2564C22semidirect
200. #2564C22semidirect
201. #2564C22semidirect
202. #2564C22semidirect
203. #2562C22semidirect
204. #2561C22semidirect
205. #2560C22semidirect
206. #2557C22semidirect
207. #2556C22semidirect
208. #2553C22semidirect
209. #2539C22semidirect
211. #2521C22semidirect
212. #2519C22semidirect
213. #2503C22semidirect
214. #2503C22semidirect
215. #2498C22semidirect
216. #2498C22semidirect
217. #2491C22semidirect
218. #2487C22semidirect
220. #2486C22semidirect
221. #2485C22semidirect
222. #2484C22semidirect
223. #2484C22semidirect
225. #2478C22semidirect
226. #2476C22semidirect
227. #2473C22semidirect
228. #2468C22semidirect
229. #2468C22semidirect
230. #2468C22semidirect
231. #2466C22semidirect
232. #2466C22semidirect
233. #2464C22semidirect
234. #2462C22semidirect
235. #2461C22semidirect
236. #2459C22semidirect
237. #2458C22semidirect
238. #2457C22semidirect
239. #2455C22semidirect
240. #2452C22semidirect
241. #2443C22semidirect
242. #2438C22semidirect
243. #2437C22semidirect
244. #2434C22semidirect
245. #2434C22semidirect
246. #2430C22semidirect
247. #2430C22semidirect
252. #2415C22semidirect
254. #2413C22semidirect
256. #2412C22semidirect
257. #2412C22semidirect
258. #2409C22semidirect
259. #2408C22semidirect
261. #2406C22semidirect
262. #2406C22semidirect
264. #2399C22semidirect
265. #2398C22semidirect
266. #2396C22semidirect
267. #2396C22semidirect
268. #2395C22semidirect
269. #2395C22semidirect
270. #2395C22semidirect
271. C2×#399C22semidirect
272. #2392C22semidirect
273. C2×#398C22semidirect
274. #2388C22semidirect
275. #2388C22semidirect
277. C2×#394C22semidirect
278. C2×#393C22semidirect
279. #2359C22semidirect
280. #2358C22semidirect
281. #2357C22semidirect
283. #2353C22semidirect
285. #2344C22semidirect
286. #2344C22semidirect
288. #2342C22semidirect
289. #2342C22semidirect
291. #2319C22semidirect
293. #2318C22semidirect
294. #2283C22semidirect
295. #2283C22semidirect
297. #2280C22semidirect
299. C2×#381C22semidirect
477. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35202
C2×#35052
#423862
#423112
#421722
#421682
#414222
#414092
#413822
#413782
#413732
#406002
#405952
#405262
#405082
#405032
#404922
#375602
#375522
#374542
#374532
#374472
#374382
#374372
#366992
#366522
C2×#28162
#360612
#360212
#359402
#357512
#357292
#341902