Finite Group Databasebeta

← #7651312

Subgroups — #7651312

Order 512.

7947 conjugacy classes of subgroups.

The subgroup lattice has 2051 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3489C211yesmaximal, characteristic, complemented
2C2×#3507C211yesmaximal, characteristic, complemented
3#42994C212yesmaximal, complemented
4#42911C212yesmaximal, complemented
5#42815C212yesmaximal, complemented
6#42812C212yesmaximal, complemented
7#42683C212yesmaximal, complemented
8#42680C212yesmaximal, complemented
9#42643C212yesmaximal, complemented
10#42434C212yesmaximal, complemented
11#41375C214yesmaximal, complemented
12#40517C214yesmaximal, complemented
13#39954C212yesmaximal, complemented
14#39953C212yesmaximal, complemented
15#39887C212yesmaximal, complemented
16#39863C212yesmaximal, complemented
17#39616C212yesmaximal, complemented
18#39594C212yesmaximal, complemented
19#39488C212yesmaximal, complemented
20#38917C212yesmaximal, complemented
21#38362C214yesmaximal, complemented
22#38041C214yesmaximal, complemented
23#35666C211yesmaximal, characteristic, complemented
24#35660C211yesmaximal, characteristic, complemented
25#35634C211yesmaximal, characteristic, complemented
26#35633C211yesmaximal, characteristic, complemented
27#35628C211yesmaximal, characteristic, complemented
28#35564C211yesmaximal, characteristic, complemented
29#35317C211yesmaximal, characteristic, complemented
30#35305C211yesmaximal, characteristic, complemented
31#35153C211yesmaximal, characteristic, complemented
32#34813C211yesmaximal, characteristic, complemented
33#34738C211yesmaximal, characteristic, complemented
34C2×#2429C211yesmaximal, characteristic, complemented
35#34253C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C23×#41C2211yescharacteristic
38#3507—216no—
39#3489—216no—
40C2×#559C2212yescomplemented
41C2×#557C2212yescomplemented
42C2×#556C2212yescomplemented
43C2×#556C2212yescomplemented
44C2×#556C2212yescomplemented
45C2×#554C2212yescomplemented
46C2×#552C2212yescomplemented
47C2×#552C2212yescomplemented
48C2×D4×Q8C2212yes—
49C2×#548C2212yes—
50C2×#547C2212yes—
51C2×#547C2214yes—
52C2×#546C2212yes—
53C2×#546C2214yes—
54C2×#539C2214yescomplemented
55C2×#537C2211yescharacteristic
56C2×#537C2212yes—
57C2×#537C2211yescharacteristic, complemented
58C2×#536C2211yescharacteristic
59C2×#536C2211yescharacteristic
60C2×#536C2212yes—
61C2×#536C2211yescharacteristic
62C2×#536C2211yescharacteristic, complemented
63C2×#536C2211yescharacteristic, complemented
64C2×#536C2211yescharacteristic, complemented
65C2×#533C2211yescharacteristic, complemented
66C2×#532C2211yescharacteristic
67C2×#532C2211yescharacteristic
68C22×C4⋊Q8C2211yescharacteristic, complemented
69C2×#529C2214yescomplemented
70C2×#525C2211yescharacteristic
71C2×#525C2212yes—
72C2×#525C2211yescharacteristic
73C22×C22⋊Q8C2212yes—
74C22×C22⋊Q8C2211yescharacteristic
75C22×C22⋊Q8C2211yescharacteristic
76C2×#520C2211yescharacteristic
77C2×#520C2211yescharacteristic, complemented
78C22×C4×Q8C2211yescharacteristic, complemented
79#2868C2212yescomplemented
80#2858C2212yescomplemented
81#2854C2214yescomplemented
82#2848C2212yes—
83#2848C2212yes—
84#2821C2214yescomplemented
85#2820C2214yescomplemented
86#2816C2214yescomplemented
87#2813C2214yescomplemented
88#2723C2214yes—
89#2723C2214yescomplemented
90#2723C2214yescomplemented
91#2720C2214yes—
92#2720C2214yes—
93#2720C2214yescomplemented
94#2720C2214yescomplemented
95#2720C2214yescomplemented
96#2720C2214yescomplemented
97#2718C2214yescomplemented
98#2718C2214yescomplemented
99#2718C2214yescomplemented
100#2718C2214yescomplemented
101#2718C2214yescomplemented
102#2718C2214yescomplemented
103#2714C2214yescomplemented
104#2711C2214yescomplemented
105#2711C2214yescomplemented
106#2710C2214yescomplemented
107#2710C2214yescomplemented
108#2710C2214yescomplemented
109#2706C2214yescomplemented
110#2706C2214yescomplemented
111#2706C2214yescomplemented
112#2692C2214yes—
113#2692C2214yescomplemented
114#2692C2214yescomplemented
115#2685C2214yes—
116#2685C2214yes—
117#2678C2214yes—
118#2676C2214yescomplemented
119#2670C2214yes—
120#2662C2214yescomplemented
121#2661C2214yescomplemented
122#2660C2214yescomplemented
123#2658C2212yescomplemented
124#2658C2212yescomplemented
125#2636C2214yes—
126#2635C2214yescomplemented
127#2633C2214yescomplemented
128#2632C2214yescomplemented
129#2628C2214yescomplemented
130#2626C2214yes—
131#2624C2214yescomplemented
132#2623C2214yescomplemented
133#2620C2214yescomplemented
134#2618C2214yescomplemented
135#2616C2212yes—
136#2616C2212yes—
137#2610C2214yescomplemented
138#2603C2214yescomplemented
139#2598C2214yes—
140#2592C2212yescomplemented
141#2592C2212yescomplemented
142#2580C2214yescomplemented
143#2568C2212yescomplemented
144#2568C2212yescomplemented
145#2567C2214yescomplemented
146#2566C2214yes—
147#2543C2214yescomplemented
148#2542C2212yes—
149#2542C2212yes—
150#2542C2212yescomplemented
151#2542C2212yescomplemented
152#2542C2212yescomplemented
153#2542C2212yescomplemented
154#2542C2212yescomplemented
155#2542C2212yescomplemented
156#2540C2212yes—
157#2540C2212yes—
158#2540C2212yescomplemented
159#2540C2212yescomplemented
160#2539C2214yes—
161#2534C2214yes—
162#2502C2214yescomplemented
163#2501C2214yescomplemented
164#2501C2214yescomplemented
165#2501C2214yescomplemented
166#2500C2214yescomplemented
167#2492C2211yescharacteristic
168#2492C2212yescomplemented
169#2492C2212yescomplemented
170#2492C2211yescharacteristic, complemented
171#2491C2211yescharacteristic
172#2491C2211yescharacteristic, complemented
173#2490C2211yescharacteristic
174#2490C2211yescharacteristic, complemented
175#2489C2211yescharacteristic
176#2489C2212yescomplemented
177#2489C2212yescomplemented
178#2489C2211yescharacteristic, complemented
179#2488C2214yescomplemented
180#2488C2214yescomplemented
181#2488C2212yescomplemented
182#2488C2212yescomplemented
183#2487C2214yescomplemented
184#2486C2214yescomplemented
185#2482C2214yes—
186#2472C2212yes—
187#2472C2212yes—
188#2436C2211yescharacteristic
189#2436C2212yescomplemented
190#2435C2212yes—
191#2435C2211yescharacteristic
192#2434C2212yes—
193#2434C2211yescharacteristic
194#2434C2212yescomplemented
195#2434C2212yescomplemented
196#2434C2212yescomplemented
197#2434C2212yescomplemented
198#2434C2212yescomplemented
199#2433C2211yescharacteristic
200#2432C2212yes—
201#2432C2211yescharacteristic
202#2432C2211yescharacteristic
203#2432C2212yes—
204#2432C2212yescomplemented
205#2432C2212yescomplemented
206#2432C2212yescomplemented
207#2432C2212yescomplemented
208#2432C2212yescomplemented
209#2431C2211yescharacteristic
210#2431C2211yescharacteristic
211#2431C2212yescomplemented
212#2430C2212yes—
213#2430C2212yes—
214#2430C2214yescomplemented
215#2430C2214yescomplemented
216#2429C2212yes—
217#2429C2212yes—
218#2429C2212yes—
219#2429C2212yes—
220#2429C2212yes—
221#2429C2212yescomplemented
222#2429C2212yescomplemented
223#2429C2212yescomplemented
224#2429C2212yescomplemented
225#2429C2212yescomplemented
226#2429C2212yescomplemented
227#2429C2212yescomplemented
228#2429C2212yescomplemented
229#2429C2212yescomplemented
230#2429C2212yescomplemented
231#2428C2212yescomplemented
232#2427C2212yes—
233#2427C2212yescomplemented
234#2427C2212yescomplemented
235#2426C2212yescomplemented
236#2426C2212yescomplemented
237#2426C2212yescomplemented
238#2426C2212yescomplemented
239#2426C2212yescomplemented
240#2417C2212yes—
241#2417C2212yescomplemented
242#2417C2212yescomplemented
243#2416C2214yescomplemented
244#2416C2212yescomplemented
245#2415C2212yes—
246#2415C2212yescomplemented
247#2415C2212yescomplemented
248#2414C2214yescomplemented
249#2414C2212yescomplemented
250#2411C2214yes—
251#2410C2212yes—
252#2410C2212yes—
253#2409C2212yescomplemented
254#2409C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2406C2214yes—
258#2406C2214yescomplemented
259#2406C2214yescomplemented
260#2405C2214yes—
261#2398C2212yes—
262#2398C2212yescomplemented
263C2×#398C2212yescomplemented
264C2×#396C2212yes—
265#2388C2212yes—
266#2388C2212yes—
267#2353C2214yescomplemented
268#2352C2214yescomplemented
269#2347C2212yescomplemented
270#2346C2212yescomplemented
271#2345C2212yescomplemented
272#2344C2212yescomplemented
273#2326C2214yes—
274#2324C2214yescomplemented
275#2321C2214yes—
276#2320C2212yescomplemented
277#2319C2212yescomplemented
278#2317C2214yescomplemented
279#2316C2211yescharacteristic, complemented
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic
282#2310C2211yescharacteristic, complemented
283C4×#124C2212yes—
284C4×#124C2212yescomplemented
285C4×#120C2212yes—
286C4×#120C2212yes—
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289#2297C2211yescharacteristic, complemented
290#2297C2211yescharacteristic, complemented
291#2295C2212yescomplemented
292C2×#391C2211yescharacteristic, complemented
293#2293C2212yescomplemented
294C2×#389C2212yescomplemented
295C2×#389C2211yescharacteristic, complemented
296C2×#388C2212yes—
297#2280C2211yescharacteristic
298#2274C2211yescharacteristic, complemented
299C4×#117C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2211yescharacteristic
301C2×2−1+4—28no—
302C2×2−1+4—44no—
303C2×2−1+4—44no—
304C22×#41—28no—
305C22×#41—44no—
306C22×#41—44no—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C22×#41C2311yescharacteristic
310C22×#41C2311yescharacteristic
311C22×#41C2312yes—
312C22×#41C2312yes—
313C22×#41C2311yescharacteristic
314C22×#41C2311yescharacteristic
315C22×#41C2314yes—
316C22×#41C2312yes—
317C22×#41C2312yes—
318C23×Q8C2311yescharacteristic
319C23×Q8C2311yescharacteristic
320C23×Q8C2311yescharacteristic
321C23×Q8C2312yes—
322C23×Q8C2312yes—
323C23×D4C2312yes—
324C23×D4C2311yescharacteristic
325C24×C4C2311yescharacteristic
326C24×C4C2312yes—
327#559—216no—
328#557—216no—
329#556—216no—
330#556—216no—
331#556—216no—
332#554—216no—
333#552—216no—
334#552—216no—
335D4×Q8—216no—
336#548—216no—
337#547—232no—
338#547—216no—
339#546—232no—
340#546—216no—
341#539—232no—
342#537—28no—
343#537—216no—
344#537—44no—
345#536—28no—
346#536—28no—
347#536—216no—
348#536—28no—
349#536—44no—
350#536—44no—
351#536—44no—
352#533—28no—
353#532—28no—
354#532—44no—
355C2×C4⋊Q8—44no—
356C2×C4⋊Q8C2314yes—
357C2×C4⋊Q8C2312yes—
358C2×C4⋊Q8C2312yes—
359C2×C4⋊Q8C2311yescharacteristic
360C2×C4⋊Q8C2311yescharacteristic
361C2×C4⋊Q8C2311yescharacteristic
362C2×C4⋊Q8C2312yes—
363C2×C4⋊Q8C2312yes—
364C2×C4⋊Q8C2311yescharacteristic
365C2×C4⋊Q8C2312yes—
366C2×C4⋊Q8C2312yes—
367C2×C4⋊Q8C2312yes—
368C2×C4⋊Q8C2312yes—
369C2×C4⋊Q8C2312yes—
370C2×C4⋊Q8C2312yes—
371C2×#127C2311yescharacteristic
372C2×#127C2311yescharacteristic
373#529—232no—
374C2×#126C2314yes—
375C2×#126C2314yes—
376C2×#126C2314yes—
377C2×#126C2314yes—
378C2×#125C2314yes—
379C2×#125C2314yes—
380C2×#125C2311yescharacteristic
381C2×#125C2311yescharacteristic
382C2×#125C2314yes—
383C2×#124C2314yes—
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2314yes—
388C2×#124C2311yescharacteristic
389C2×#124C2311yescharacteristic
390C2×#124C2312yes—
391C2×#124C2312yes—
392C2×#124C2312yes—
393C2×#124C2312yes—
394C2×#124C2311yescharacteristic
395C2×#124C2311yescharacteristic
396C2×#124C2312yes—
397#525—28no—
398#525—216no—
399#525—44no—
400C2×#123C2314yes—
401C2×#123C2314yes—
402C2×#123C2314yes—
403C2×#123C2312yes—
404C2×#123C2314yes—
405C2×#123C2314yes—
406C2×#123C2314yes—
407C2×#123C2314yes—
408C2×#123C2314yes—
409C2×#123C2314yes—
410C2×#123C2314yes—
411C2×#123C2312yes—
412C2×#123C2314yes—
413C2×C22⋊Q8—28no—
414C2×C22⋊Q8—216no—
415C2×C22⋊Q8—44no—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2314yes—
427C2×C22⋊Q8C2314yes—
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2314yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2314yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2311yescharacteristic
447C2×C22⋊Q8C2311yescharacteristic
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×#121C2314yes—
452C2×#121C2314yes—
453C2×#121C2314yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2311yescharacteristic
457C2×#121C2312yes—
458C2×#121C2311yescharacteristic
459C2×#121C2314yes—
460C2×#121C2312yes—
461C2×#121C2314yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2311yescharacteristic
466C2×#121C2311yescharacteristic
467C2×#121C2314yes—
468C2×#121C2312yes—
469C2×#120C2312yes—
470C2×#120C2314yes—
471C2×#120C2312yes—
472C2×#120C2312yes—
473C2×#120C2312yes—
474#520—28no—
475#520D4116yescomplemented
476C2×C4×Q8—28no—
477C2×C4×Q8C2314yes—
478C2×C4×Q8C2312yes—
479C2×C4×Q8C2312yes—
480C2×C4×Q8C2312yes—
481C2×C4×Q8C2312yes—
482C2×C4×Q8C2312yes—
483C2×C4×Q8C2312yes—
484C2×C4×Q8C2312yes—
485C2×C4×Q8C2312yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2314yes—
501C2×#117C2311yescharacteristic
502C2×#117C2311yescharacteristic
503C2×#117C2311yescharacteristic
504C2×#117C2314yes—
505C2×#117C2314yes—
506C2×#117C2312yes—
507C2×#117C2314yes—
508C2×#117C2312yes—
509C2×#117C2311yescharacteristic
510C22×C4⋊C4C2311yescharacteristic
511C22×C4⋊C4C2314yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2312yes—
518C22×C4⋊C4C2312yes—
519C22×C4⋊C4C2311yescharacteristic
520C22×C4⋊C4C2312yes—
521C22×C22⋊C4C2314yes—
522C22×C22⋊C4C2312yes—
523C22×C22⋊C4C2311yescharacteristic
524C22×C22⋊C4C2311yescharacteristic
525C22×C22⋊C4C2312yes—
526C22×C42C2312yes—
527C22×C42C2311yescharacteristic
528C22×C42C2311yescharacteristic
529#400C2312yes—
530#400C2314yes—
531#400C2314yes—
532#400C2314yes—
533#400C2314yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#399C2314yes—
538#399C2314yes—
539#399C2314yes—
540#399C2314yes—
541#399C2314yes—
542#399C2314yes—
543#399C2314yes—
544#399C2314yes—
545#399C2314yes—
546#399C2314yes—
547#399C2314yes—
548#399C2314yes—
549#399C2314yes—
550#399C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#397C2312yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#395C2314yes—
582#395C2314yes—
583#395C2314yes—
584#395C2314yes—
585#395C2312yes—
586#395C2314yes—
587#395C2314yes—
588#395C2314yes—
589#395C2314yes—
590#395C2312yes—
591#394C2312yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2312yes—
598#394C2314yes—
599#394C2312yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2312yes—
606#394C2314yes—
607#394C2312yes—
608#394C2314yes—
609#394C2314yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2314yes—
614#394C2314yes—
615#394C2312yes—
616#394C2312yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#393C2312yes—
621#393C2314yes—
622#393C2312yes—
623#393C2314yes—
624#393C2312yes—
625#393C2314yes—
626#393C2314yes—
627#393C2312yes—
628#393C2312yes—
629#393C2312yes—
630#392C2314yes—
631#392C2314yes—
632#392C2312yes—
633#392C2312yes—
634#392C2314yes—
635#392C2314yes—
636#392C2312yes—
637#392C2312yes—
638#392C2312yes—
639#392C2312yes—
640#392C2314yes—
641#391C2312yes—
642#391C2312yes—
643#391C2312yes—
644#391C2312yes—
645#391C2312yes—
646#391C2312yes—
647#391C2312yes—
648#391C2314yes—
649#391C2311yescharacteristic
650#391C2311yescharacteristic
651#391C2312yes—
652#391C2312yes—
653#391C2314yes—
654#391C2311yescharacteristic
655#391C2312yes—
656#391C2312yes—
657#391C2311yescharacteristic
658#391C2311yescharacteristic
659#391C2311yescharacteristic
660#391C2311yescharacteristic
661#391C2311yescharacteristic
662#391C2312yes—
663#390C2312yes—
664#390C2314yes—
665#390C2312yes—
666#390C2312yes—
667#390C2311yescharacteristic
668#390C2314yes—
669#390C2314yes—
670#390C2314yes—
671#390C2314yes—
672#390C2314yes—
673#390C2314yes—
674#390C2314yes—
675#390C2311yescharacteristic
676#390C2311yescharacteristic
677#390C2314yes—
678#390C2314yes—
679#390C2314yes—
680#390C2314yes—
681#390C2314yes—
682#390C2311yescharacteristic
683#390C2311yescharacteristic
684#390C2311yescharacteristic
685#390C2311yescharacteristic
686#390C2311yescharacteristic
687#390C2312yes—
688#389C2314yes—
689#389C2314yes—
690#389C2314yes—
691#389C2314yes—
692#389C2312yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2314yes—
697#389C2314yes—
698#389C2314yes—
699#389C2312yes—
700#389C2314yes—
701#389C2312yes—
702#389C2312yes—
703#389C2314yes—
704#389C2312yes—
705#388C2314yes—
706#388C2314yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2312yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2312yes—
724#388C2312yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2312yes—
730#388C2312yes—
731#388C2312yes—
732#388C2312yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2312yes—
743#386C2314yes—
744#386C2312yes—
745#386C2314yes—
746#386C2312yes—
747#386C2312yes—
748#386C2312yes—
749#386C2314yes—
750#386C2312yes—
751#386C2312yes—
752#386C2314yes—
753#386C2312yes—
754#386C2312yes—
755#386C2312yes—
756#386C2314yes—
757#386C2312yes—
758#386C2312yes—
759#386C2312yes—
760#386C2312yes—
761#385C2312yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2312yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2312yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2312yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2312yes—
784#385C2312yes—
785#384C2314yes—
786#384C2314yes—
787#384C2314yes—
788#384C2314yes—
789#384C2314yes—
790#384C2314yes—
791#383C2314yes—
792#382C2314yes—
793#382C2314yes—
794#382C2314yes—
795#382C2312yes—
796#382C2312yes—
797#381C2314yes—
798#381C2314yes—
799#381C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2311yescharacteristic
808#380C2311yescharacteristic
809#380C2311yescharacteristic
810#380C2311yescharacteristic
811#380C2314yes—
812#380C2314yes—
813#379C2314yes—
814#379C2314yes—
815#379C2312yes—
816#379C2312yes—
817#379C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2311yescharacteristic
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C4×C22⋊C4C2311yescharacteristic
849#376C2312yes—
850#376C2314yes—
851C2×#95C2312yes—
852C2×#95C2312yes—
853C2×#95C2311yescharacteristic
854C2×#95C2311yescharacteristic
855C2×#95C2312yes—
856C43C2312yes—
857C25C2411yescharacteristic
858C25C2412yes—
8592−1+4—464no—
860C2×#41—24no—
861C2×#41—216no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—24no—
865C2×#41—24no—
866C2×#41—28no—
867C2×#41—24no—
868C2×#41—28no—
869C2×#41—24no—
870C2×#41—24no—
871C2×#41—24no—
872C2×#41—24no—
873C2×#41—24no—
874C2×#41—24no—
875C2×#41—24no—
876C2×#41—24no—
877C2×#41—24no—
878C2×#41—44no—
879C2×#41—44no—
880C2×#41—44no—
881C2×#41—44no—
882C2×#41—48no—
883C2×#41—48no—
884C2×#41—42no—
885C2×#41—42no—
886C2×#41—42no—
887C2×#41—42no—
888C2×#41—44no—
889C2×#41—44no—
890C2×#41—44no—
891C2×#41—44no—
892C2×#41—464no—
893C2×#41C2×D418yes—
894C22×Q8—28no—
895C22×Q8—24no—
896C22×Q8—24no—
897C22×Q8—28no—
898C22×Q8—24no—
899C22×Q8—24no—
900C22×Q8—24no—
901C22×Q8—24no—
902C22×Q8—24no—
903C22×Q8—42no—
904C22×Q8—42no—
905C22×Q8—44no—
906C22×Q8—44no—
907C22×Q8—44no—
908C22×Q8—44no—
909C22×Q8C2412yes—
910C22×Q8C2412yes—
911C22×Q8C2411yescharacteristic
912C22×Q8C2412yes—
913C22×Q8C2411yescharacteristic
914C22×Q8C2412yes—
915C22×Q8C2411yescharacteristic
916C22×Q8C2412yes—
917C22×Q8C2411yescharacteristic
918C22×Q8C2412yes—
919C22×Q8C2414yes—
920C22×Q8C2412yes—
921C22×D4—28no—
922C22×D4—24no—
923C22×D4—42no—
924C22×D4—42no—
925C22×D4—44no—
926C22×D4—44no—
927C22×D4C2412yes—
928C22×D4C2411yescharacteristic
929C22×D4C2412yes—
930C22×D4C2411yescharacteristic
931C22×D4C2412yes—
932C22×D4C2411yescharacteristic
933C22×D4C2412yes—
934C22×D4C2412yes—
935C22×D4C2412yes—
936C22×D4C2411yescharacteristic
937C22×D4C2412yes—
938C22×D4C2414yes—
939C22×D4C2412yes—
940C22×D4C2412yes—
941C22×D4C2412yes—
942C22×D4C2412yes—
943C22×D4C2414yes—
944C22×D4C2412yes—
945C22×D4C2412yes—
946C22×D4C2412yes—
947C22×D4C2412yes—
948C22×D4C2414yes—
949C23×C4—28no—
950C23×C4—24no—
951C23×C4—24no—
952C23×C4—24no—
953C23×C4—44no—
954C23×C4—44no—
955C23×C4C2412yes—
956C23×C4C2412yes—
957C23×C4C2411yescharacteristic
958C23×C4C2412yes—
959C23×C4C2412yes—
960C23×C4C2411yescharacteristic
961C23×C4C2411yescharacteristic
962C23×C4C2411yescharacteristic
963C23×C4C2411yescharacteristic
964C23×C4C2412yes—
965C23×C4C2411yescharacteristic
966C23×C4C2411yescharacteristic
967C23×C4C2411yescharacteristic
968C23×C4C2412yes—
969C23×C4C2412yes—
970C23×C4C2411yescharacteristic
971C23×C4C2414yes—
972C23×C4C2412yes—
973C23×C4C2414yes—
974C23×C4C2414yes—
975C23×C4C2412yes—
976C23×C4C2412yes—
977C23×C4C2412yes—
978C23×C4C2414yes—
979C23×C4C2411yescharacteristic
980C4⋊Q8—24no—
981C4⋊Q8—28no—
982C4⋊Q8—24no—
983C4⋊Q8—24no—
984C4⋊Q8—216no—
985C4⋊Q8—28no—
986C4⋊Q8—28no—
987C4⋊Q8—44no—
988C4⋊Q8—44no—
989C4⋊Q8—44no—
990C4⋊Q8—44no—
991C4⋊Q8—42no—
992C4⋊Q8—44no—
993C4⋊Q8—44no—
994C4⋊Q8—44no—
995#127—24no—
996#127—42no—
997#126—216no—
998#126—216no—
999#126—216no—
1000#126—216no—
1001#125—216no—
1002#125—24no—
1003#125—24no—
1004#125—216no—
1005#125—216no—
1006#124—24no—
1007#124—24no—
1008#124—28no—
1009#124—216no—
1010#124—28no—
1011#124—216no—
1012#124—28no—
1013#124—28no—
1014#124—44no—
1015#124—42no—
1016#124—42no—
1017#124—44no—
1018#124—44no—
1019#124—44no—
1020#123—216no—
1021#123—216no—
1022#123—28no—
1023#123—216no—
1024#123—216no—
1025#123—216no—
1026#123—216no—
1027#123—216no—
1028#123—216no—
1029#123—44no—
1030#123—48no—
1031#123—48no—
1032#123—48no—
1033C22⋊Q8—28no—
1034C22⋊Q8—28no—
1035C22⋊Q8—216no—
1036C22⋊Q8—28no—
1037C22⋊Q8—24no—
1038C22⋊Q8—28no—
1039C22⋊Q8—28no—
1040C22⋊Q8—28no—
1041C22⋊Q8—28no—
1042C22⋊Q8—216no—
1043C22⋊Q8—28no—
1044C22⋊Q8—216no—
1045C22⋊Q8—24no—
1046C22⋊Q8—28no—
1047C22⋊Q8—28no—
1048C22⋊Q8—28no—
1049C22⋊Q8—28no—
1050C22⋊Q8—216no—
1051C22⋊Q8—216no—
1052C22⋊Q8—28no—
1053C22⋊Q8—28no—
1054C22⋊Q8—44no—
1055C22⋊Q8—44no—
1056C22⋊Q8—44no—
1057C22⋊Q8—44no—
1058C22⋊Q8—42no—
1059C22⋊Q8—42no—
1060C22⋊Q8—44no—
1061C22⋊Q8—44no—
1062C22⋊Q8—44no—
1063C22⋊Q8—44no—
1064C22⋊Q8—44no—
1065C22⋊Q8—44no—
1066C22⋊Q8—44no—
1067C22⋊Q8—44no—
1068#121—28no—
1069#121—28no—
1070#121—216no—
1071#121—216no—
1072#121—216no—
1073#121—24no—
1074#121—28no—
1075#121—24no—
1076#121—28no—
1077#121—216no—
1078#121—48no—
1079#121—42no—
1080#121—42no—
1081#121—44no—
1082#121—44no—
1083#121—44no—
1084#121—44no—
1085#121—48no—
1086#120—28no—
1087#120—216no—
1088#120—28no—
1089#120—44no—
1090#120—44no—
1091C4×Q8—28no—
1092C4×Q8—28no—
1093C4×Q8—28no—
1094C4×Q8—28no—
1095C4×Q8—28no—
1096C4×Q8—216no—
1097C4×Q8—28no—
1098C4×Q8—28no—
1099C4×Q8C2×D4116yes—
1100C4×D4—216no—
1101C4×D4—216no—
1102C4×D4—28no—
1103C4×D4—28no—
1104C4×D4—28no—
1105C4×D4—216no—
1106C4×D4—28no—
1107C4×D4—216no—
1108C4×D4—28no—
1109C4×D4—44no—
1110C4×D4—44no—
1111C4×D4—44no—
1112C4×D4—44no—
1113C4×D4C2×D4132yes—
1114C4×D4C2×D4116yes—
1115#117—24no—
1116#117—216no—
1117#117—24no—
1118#117—24no—
1119#117—28no—
1120#117—216no—
1121#117—48no—
1122#117C2×D418yes—
1123#117C2×D4116yes—
1124C2×C4⋊C4—28no—
1125C2×C4⋊C4—28no—
1126C2×C4⋊C4—216no—
1127C2×C4⋊C4—24no—
1128C2×C4⋊C4—28no—
1129C2×C4⋊C4—44no—
1130C2×C4⋊C4—44no—
1131C2×C4⋊C4—44no—
1132C2×C4⋊C4—44no—
1133C2×C4⋊C4C2×D418yes—
1134C2×C4⋊C4C2×D4116yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2411yescharacteristic
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2414yes—
1190C2×C4⋊C4C2411yescharacteristic
1191C2×C22⋊C4—28no—
1192C2×C22⋊C4—216no—
1193C2×C22⋊C4—24no—
1194C2×C22⋊C4—42no—
1195C2×C22⋊C4—44no—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2411yescharacteristic
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2411yescharacteristic
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2411yescharacteristic
1233C2×C22⋊C4C2411yescharacteristic
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2412yes—
1265C2×C22⋊C4C2412yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2414yes—
1269C2×C22⋊C4C2411yescharacteristic
1270C2×C42—28no—
1271C2×C42—24no—
1272C2×C42—24no—
1273C2×C42C2414yes—
1274C2×C42C2414yes—
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2411yescharacteristic
1280C2×C42C2411yescharacteristic
1281C2×C42C2411yescharacteristic
1282C2×C42C2411yescharacteristic
1283C2×C42C2414yes—
1284C2×C42C2411yescharacteristic
1285C2×C42C2411yescharacteristic
1286C2×C42C2411yescharacteristic
1287C2×C42C2412yes—
1288C2×C42C2411yescharacteristic
1289C2×C42C2414yes—
1290C2×C42C2412yes—
1291C2×C42C2412yes—
1292C2×C42C2414yes—
1293C2×C42C2414yes—
1294C2×C42C2412yes—
1295#95C2414yes—
1296#95C2411yescharacteristic
1297#95C2411yescharacteristic
1298#95C2411yescharacteristic
1299#95C2411yescharacteristic
1300#95C2411yescharacteristic
1301#95C2411yescharacteristic
1302#95C2411yescharacteristic
1303#95C2411yescharacteristic
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2414yes—
1325#95C2412yes—
1326#95C2412yes—
1327#95C2412yes—
1328#95C2412yes—
1329#95C2412yes—
1330#95C2412yes—
1331#95C2412yes—
1332#95C2412yes—
1333#95C2412yes—
1334#95C2412yes—
1335#95C2412yes—
1336#95C2412yes—
1337#95C2412yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341#95C2414yes—
1342#95C2414yes—
1343#95C2414yes—
1344#95C2414yes—
1345C24—22no—
1346C24—24no—
1347C24—22no—
1348C24—22no—
1349C24—22no—
1350C24—24no—
1351C24—41no—
1352C24—42no—
1353C24—42no—
1354C24—41no—
1355C24—41no—
1356C24—42no—
1357C24—42no—
1358C24—42no—
1359C24C2511yescharacteristic
1360C24C2512yes—
1361C24C2512yes—
1362C24C2512yes—
1363C24C2512yes—
1364C24C2511yescharacteristic
1365C24C2511yescharacteristic
1366#41—232no—
1367#41—432no—
1368#41—432no—
1369#41—432no—
1370#41—416no—
1371#41—464no—
1372#41—432no—
1373#41—416no—
1374#41—416no—
1375#41—416no—
1376#41—416no—
1377C2×Q8—24no—
1378C2×Q8—24no—
1379C2×Q8—24no—
1380C2×Q8—22no—
1381C2×Q8—24no—
1382C2×Q8—22no—
1383C2×Q8—28no—
1384C2×Q8—24no—
1385C2×Q8—24no—
1386C2×Q8—22no—
1387C2×Q8—24no—
1388C2×Q8—22no—
1389C2×Q8—22no—
1390C2×Q8—24no—
1391C2×Q8—24no—
1392C2×Q8—22no—
1393C2×Q8—24no—
1394C2×Q8—24no—
1395C2×Q8—22no—
1396C2×Q8—24no—
1397C2×Q8—22no—
1398C2×Q8—24no—
1399C2×Q8—22no—
1400C2×Q8—24no—
1401C2×Q8—24no—
1402C2×Q8—22no—
1403C2×Q8—22no—
1404C2×Q8—24no—
1405C2×Q8—44no—
1406C2×Q8—44no—
1407C2×Q8—42no—
1408C2×Q8—42no—
1409C2×Q8—42no—
1410C2×Q8—42no—
1411C2×Q8—42no—
1412C2×Q8—432no—
1413C2×Q8—416no—
1414C2×Q8—432no—
1415C2×Q8—416no—
1416C2×Q8—416no—
1417C2×Q8C22×D414yes—
1418C2×D4—24no—
1419C2×D4—24no—
1420C2×D4—24no—
1421C2×D4—24no—
1422C2×D4—28no—
1423C2×D4—24no—
1424C2×D4—24no—
1425C2×D4—24no—
1426C2×D4—24no—
1427C2×D4—24no—
1428C2×D4—24no—
1429C2×D4—24no—
1430C2×D4—24no—
1431C2×D4—24no—
1432C2×D4—24no—
1433C2×D4—24no—
1434C2×D4—24no—
1435C2×D4—24no—
1436C2×D4—24no—
1437C2×D4—22no—
1438C2×D4—22no—
1439C2×D4—24no—
1440C2×D4—22no—
1441C2×D4—28no—
1442C2×D4—24no—
1443C2×D4—22no—
1444C2×D4—22no—
1445C2×D4—22no—
1446C2×D4—22no—
1447C2×D4—22no—
1448C2×D4—22no—
1449C2×D4—22no—
1450C2×D4—22no—
1451C2×D4—24no—
1452C2×D4—24no—
1453C2×D4—24no—
1454C2×D4—42no—
1455C2×D4—42no—
1456C2×D4—42no—
1457C2×D4—42no—
1458C2×D4—42no—
1459C2×D4—42no—
1460C2×D4—42no—
1461C2×D4—42no—
1462C2×D4—44no—
1463C2×D4—44no—
1464C2×D4—42no—
1465C2×D4—42no—
1466C2×D4—42no—
1467C2×D4—42no—
1468C2×D4—42no—
1469C2×D4—42no—
1470C2×D4—44no—
1471C2×D4—42no—
1472C2×D4—42no—
1473C2×D4—42no—
1474C2×D4—42no—
1475C2×D4—44no—
1476C2×D4—42no—
1477C2×D4—42no—
1478C2×D4—42no—
1479C2×D4—44no—
1480C2×D4—44no—
1481C2×D4—44no—
1482C2×D4—432no—
1483C2×D4—416no—
1484C2×D4C22×D418yes—
1485C2×D4C22×D414yes—
1486C22×C4—24no—
1487C22×C4—24no—
1488C22×C4—22no—
1489C22×C4—24no—
1490C22×C4—28no—
1491C22×C4—24no—
1492C22×C4—24no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—24no—
1497C22×C4—22no—
1498C22×C4—24no—
1499C22×C4—24no—
1500C22×C4—22no—
1501C22×C4—24no—
1502C22×C4—22no—
1503C22×C4—24no—
1504C22×C4—24no—
1505C22×C4—28no—
1506C22×C4—24no—
1507C22×C4—24no—
1508C22×C4—22no—
1509C22×C4—24no—
1510C22×C4—22no—
1511C22×C4—22no—
1512C22×C4—22no—
1513C22×C4—24no—
1514C22×C4—24no—
1515C22×C4—24no—
1516C22×C4—22no—
1517C22×C4—22no—
1518C22×C4—24no—
1519C22×C4—22no—
1520C22×C4—22no—
1521C22×C4—24no—
1522C22×C4—22no—
1523C22×C4—22no—
1524C22×C4—22no—
1525C22×C4—22no—
1526C22×C4—24no—
1527C22×C4—24no—
1528C22×C4—22no—
1529C22×C4—22no—
1530C22×C4—22no—
1531C22×C4—28no—
1532C22×C4—42no—
1533C22×C4—44no—
1534C22×C4—42no—
1535C22×C4—42no—
1536C22×C4—42no—
1537C22×C4—42no—
1538C22×C4—42no—
1539C22×C4—42no—
1540C22×C4—41no—
1541C22×C4—41no—
1542C22×C4—44no—
1543C22×C4—42no—
1544C22×C4—41no—
1545C22×C4—44no—
1546C22×C4—44no—
1547C22×C4—44no—
1548C22×C4—44no—
1549C22×C4—41no—
1550C22×C4—42no—
1551C22×C4—44no—
1552C22×C4—44no—
1553C22×C4—42no—
1554C22×C4—41no—
1555C22×C4—432no—
1556C22×C4—416no—
1557C22×C4C22×D418yes—
1558C22×C4C22×D418yes—
1559C22×C4C22×D4116yes—
1560C22×C4C22×D414yes—
1561C22×C4H(5,𝔽2)14yes—
1562C22×C4H(5,𝔽2)14yes—
1563C22×C4C2511yescharacteristic
1564C22×C4C2512yes—
1565C22×C4C2512yes—
1566C22×C4C2514yes—
1567C22×C4C2511yescharacteristic
1568C22×C4C2512yes—
1569C22×C4C2512yes—
1570C22×C4C2512yes—
1571C22×C4C2511yescharacteristic
1572C22×C4C2511yescharacteristic
1573C22×C4C2511yescharacteristic
1574C22×C4C2512yes—
1575C22×C4C2512yes—
1576C22×C4C2514yes—
1577C22×C4C2511yescharacteristic
1578C22×C4C2511yescharacteristic
1579C22×C4C2512yes—
1580C22×C4C2514yes—
1581C22×C4C2512yes—
1582C22×C4C2512yes—
1583C22×C4C2512yes—
1584C22×C4C2512yes—
1585C22×C4C2514yes—
1586C22×C4C2511yescharacteristic
1587C22×C4C2511yescharacteristic
1588C22×C4C2511yescharacteristic
1589C22×C4C2511yescharacteristic
1590C22×C4C2511yescharacteristic
1591C4⋊C4—22no—
1592C4⋊C4—28no—
1593C4⋊C4—24no—
1594C4⋊C4—28no—
1595C4⋊C4—28no—
1596C4⋊C4—28no—
1597C4⋊C4—28no—
1598C4⋊C4—28no—
1599C4⋊C4—28no—
1600C4⋊C4—22no—
1601C4⋊C4—24no—
1602C4⋊C4—24no—
1603C4⋊C4—28no—
1604C4⋊C4—28no—
1605C4⋊C4—24no—
1606C4⋊C4—24no—
1607C4⋊C4—24no—
1608C4⋊C4—28no—
1609C4⋊C4—24no—
1610C4⋊C4—24no—
1611C4⋊C4—24no—
1612C4⋊C4—28no—
1613C4⋊C4—28no—
1614C4⋊C4—24no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—22no—
1618C4⋊C4—22no—
1619C4⋊C4—22no—
1620C4⋊C4—22no—
1621C4⋊C4—28no—
1622C4⋊C4—44no—
1623C4⋊C4—44no—
1624C4⋊C4—44no—
1625C4⋊C4—44no—
1626C4⋊C4—44no—
1627C4⋊C4—44no—
1628C4⋊C4—44no—
1629C4⋊C4—44no—
1630C4⋊C4—44no—
1631C4⋊C4—42no—
1632C4⋊C4—42no—
1633C4⋊C4—42no—
1634C4⋊C4—42no—
1635C4⋊C4—44no—
1636C4⋊C4—44no—
1637C4⋊C4—44no—
1638C4⋊C4—44no—
1639C4⋊C4—44no—
1640C4⋊C4—44no—
1641C4⋊C4—44no—
1642C4⋊C4C22×D418yes—
1643C4⋊C4C22×D414yes—
1644C4⋊C4C22×D418yes—
1645C4⋊C4C22×D4116yes—
1646C4⋊C4C22×D414yes—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—28no—
1650C22⋊C4—24no—
1651C22⋊C4—28no—
1652C22⋊C4—24no—
1653C22⋊C4—24no—
1654C22⋊C4—22no—
1655C22⋊C4—24no—
1656C22⋊C4—28no—
1657C22⋊C4—24no—
1658C22⋊C4—28no—
1659C22⋊C4—28no—
1660C22⋊C4—28no—
1661C22⋊C4—24no—
1662C22⋊C4—28no—
1663C22⋊C4—28no—
1664C22⋊C4—24no—
1665C22⋊C4—28no—
1666C22⋊C4—24no—
1667C22⋊C4—28no—
1668C22⋊C4—24no—
1669C22⋊C4—24no—
1670C22⋊C4—28no—
1671C22⋊C4—22no—
1672C22⋊C4—22no—
1673C22⋊C4—24no—
1674C22⋊C4—24no—
1675C22⋊C4—24no—
1676C22⋊C4—24no—
1677C22⋊C4—22no—
1678C22⋊C4—22no—
1679C22⋊C4—24no—
1680C22⋊C4—24no—
1681C22⋊C4—41no—
1682C22⋊C4—41no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—42no—
1686C22⋊C4—42no—
1687C22⋊C4—44no—
1688C22⋊C4—42no—
1689C22⋊C4—42no—
1690C22⋊C4—42no—
1691C22⋊C4—42no—
1692C22⋊C4—44no—
1693C22⋊C4—42no—
1694C22⋊C4—42no—
1695C22⋊C4—42no—
1696C22⋊C4—42no—
1697C22⋊C4—44no—
1698C22⋊C4—42no—
1699C22⋊C4—42no—
1700C22⋊C4—42no—
1701C22⋊C4—42no—
1702C22⋊C4—42no—
1703C22⋊C4—42no—
1704C22⋊C4—42no—
1705C22⋊C4—42no—
1706C22⋊C4—42no—
1707C22⋊C4—44no—
1708C22⋊C4—44no—
1709C22⋊C4—44no—
1710C22⋊C4—44no—
1711C22⋊C4—44no—
1712C22⋊C4—44no—
1713C22⋊C4—44no—
1714C22⋊C4—44no—
1715C22⋊C4—44no—
1716C22⋊C4—42no—
1717C22⋊C4—42no—
1718C22⋊C4C22×D418yes—
1719C22⋊C4C22×D4116yes—
1720C22⋊C42−1+414yescomplemented
1721C42—28no—
1722C42—22no—
1723C42—22no—
1724C42—28no—
1725C42—22no—
1726C42—22no—
1727C42—28no—
1728C42—24no—
1729C42—22no—
1730C42—22no—
1731C42—22no—
1732C42—22no—
1733C42—24no—
1734C42—24no—
1735C42—24no—
1736C42—24no—
1737C42—42no—
1738C42—44no—
1739C42—42no—
1740C42—44no—
1741C42C22×D4116yes—
1742C42C22×D418yes—
1743C23—21no—
1744C23—21no—
1745C23—21no—
1746C23—21no—
1747C23—21no—
1748C23—21no—
1749C23—21no—
1750C23—22no—
1751C23—22no—
1752C23—22no—
1753C23—22no—
1754C23—21no—
1755C23—22no—
1756C23—21no—
1757C23—22no—
1758C23—21no—
1759C23—22no—
1760C23—21no—
1761C23—22no—
1762C23—22no—
1763C23—22no—
1764C23—21no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—21no—
1769C23—22no—
1770C23—22no—
1771C23—22no—
1772C23—21no—
1773C23—22no—
1774C23—22no—
1775C23—21no—
1776C23—22no—
1777C23—22no—
1778C23—22no—
1779C23—22no—
1780C23—22no—
1781C23—22no—
1782C23—21no—
1783C23—22no—
1784C23—22no—
1785C23—22no—
1786C23—21no—
1787C23—44no—
1788C23—44no—
1789C23—44no—
1790C23—48no—
1791C23—48no—
1792C23—44no—
1793C23—82no—
1794C23—82no—
1795C23—82no—
1796C23—84no—
1797C23—84no—
1798C23—84no—
1799C23—84no—
1800C23—84no—
1801C23C23×D414yes—
1802C23C23×D412yes—
1803C23C2×H(5,𝔽2)12yes—
1804C23C2×H(5,𝔽2)12yes—
1805C23C2×2−1+412yes—
1806C23C2611yescharacteristic
1807Q8—28no—
1808Q8—48no—
1809Q8—416no—
1810Q8—48no—
1811Q8—48no—
1812Q8—48no—
1813Q8—48no—
1814Q8—44no—
1815Q8—48no—
1816Q8—44no—
1817Q8—44no—
1818Q8—84no—
1819D4—216no—
1820D4—28no—
1821D4—48no—
1822D4—48no—
1823D4—48no—
1824D4—48no—
1825D4—48no—
1826D4—416no—
1827D4—48no—
1828D4—48no—
1829D4—48no—
1830D4—44no—
1831D4—44no—
1832D4—44no—
1833D4—88no—
1834D4—84no—
1835D4—84no—
1836D4—84no—
1837D4—84no—
1838D4—84no—
1839D4—84no—
1840D4—164no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—24no—
1849C2×C4—22no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—22no—
1853C2×C4—24no—
1854C2×C4—21no—
1855C2×C4—216no—
1856C2×C4—21no—
1857C2×C4—22no—
1858C2×C4—21no—
1859C2×C4—24no—
1860C2×C4—22no—
1861C2×C4—21no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—24no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—22no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—24no—
1875C2×C4—22no—
1876C2×C4—24no—
1877C2×C4—22no—
1878C2×C4—24no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—24no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—24no—
1889C2×C4—22no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—24no—
1897C2×C4—22no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—21no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—24no—
1905C2×C4—21no—
1906C2×C4—21no—
1907C2×C4—21no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—21no—
1912C2×C4—21no—
1913C2×C4—48no—
1914C2×C4—416no—
1915C2×C4—44no—
1916C2×C4—44no—
1917C2×C4—44no—
1918C2×C4—48no—
1919C2×C4—48no—
1920C2×C4—416no—
1921C2×C4—48no—
1922C2×C4—416no—
1923C2×C4—44no—
1924C2×C4—48no—
1925C2×C4—48no—
1926C2×C4—44no—
1927C2×C4—44no—
1928C2×C4—44no—
1929C2×C4—44no—
1930C2×C4—48no—
1931C2×C4—48no—
1932C2×C4—48no—
1933C2×C4—88no—
1934C2×C4—82no—
1935C2×C4—84no—
1936C2×C4#535116yes—
1937C2×C4C23×D418yes—
1938C2×C4C23×D414yes—
1939C2×C4C23×D414yes—
1940C2×C4C23×D414yes—
1941C2×C4C23×D412yes—
1942C2×C4C23×D412yes—
1943C2×C4C2×H(5,𝔽2)12yes—
1944C2×C4C2×H(5,𝔽2)12yes—
1945C2×C4C2×H(5,𝔽2)12yes—
1946C2×C4C2×H(5,𝔽2)12yes—
1947C2×C4C2×2−1+412yes—
1948C2×C4C2×2−1+412yes—
1949C2×C4#58512yes—
1950C22—22no—
1951C22—22no—
1952C22—22no—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—24no—
1957C22—22no—
1958C22—24no—
1959C22—22no—
1960C22—24no—
1961C22—22no—
1962C22—41no—
1963C22—42no—
1964C22—42no—
1965C22—41no—
1966C22—41no—
1967C22—42no—
1968C22—42no—
1969C22—41no—
1970C22—42no—
1971C22—42no—
1972C22—41no—
1973C22—42no—
1974C22—42no—
1975C22—42no—
1976C22—41no—
1977C22—42no—
1978C22—42no—
1979C22—42no—
1980C22—41no—
1981C22—42no—
1982C22—41no—
1983C22—42no—
1984C22—42no—
1985C22—42no—
1986C22—42no—
1987C22—42no—
1988C22—41no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—41no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—41no—
1998C22—88no—
1999C22—816no—
2000C22C2×#53514yes—
2001C22C24×D411yescharacteristic
2002C22C22×H(5,𝔽2)11yescharacteristic
2003C22C22×H(5,𝔽2)11yescharacteristic
2004C22C22×2−1+411yescharacteristic
2005C22C2×#58511yescharacteristic
2006C222−1+611yescharacteristic
2007C222−1+611yescharacteristic
2008C4—28no—
2009C4—24no—
2010C4—22no—
2011C4—24no—
2012C4—24no—
2013C4—22no—
2014C4—22no—
2015C4—42no—
2016C4—41no—
2017C4—41no—
2018C4—41no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—41no—
2025C4—41no—
2026C4—42no—
2027C4—42no—
2028C4—44no—
2029C4—42no—
2030C4—44no—
2031C4—41no—
2032C4—41no—
2033C4—44no—
2034C4C2×#53514yes—
2035C4C2×#53514yes—
2036C2—24no—
2037C2—44no—
2038C2—42no—
2039C2—82no—
2040C2—82no—
2041C2—81no—
2042C2—82no—
2043C2C22×#53511yescharacteristic
2044C2#6283511yescharacteristic
2045C2#6288811yescharacteristic
2046C2#6294211yescharacteristic
2047C2#6295411yescharacteristic
2048C2#6298811yescharacteristic
2049C2D4×2−1+411yescharacteristic
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×#3489C2semidirect
2. C2×#3507C2semidirect
3. #42994C2semidirect
4. #42911C2semidirect
5. #42815C2semidirect
6. #42812C2semidirect
7. #42683C2semidirect
8. #42680C2semidirect
9. #42643C2semidirect
10. #42434C2semidirect
11. #41375C2semidirect
12. #40517C2semidirect
13. #39954C2semidirect
14. #39953C2semidirect
15. #39887C2semidirect
16. #39863C2semidirect
17. #39616C2semidirect
18. #39594C2semidirect
19. #39488C2semidirect
20. #38917C2semidirect
21. #38362C2semidirect
22. #38041C2semidirect
23. #35666C2semidirect
24. #35660C2semidirect
25. #35634C2semidirect
26. #35633C2semidirect
27. #35628C2semidirect
28. #35564C2semidirect
29. #35317C2semidirect
30. #35305C2semidirect
31. #35153C2semidirect
32. #34813C2semidirect
33. #34738C2semidirect
34. C2×#2429C2semidirect
35. #34253C2semidirect
40. C2×#559C22semidirect
41. C2×#557C22semidirect
42. C2×#556C22semidirect
43. C2×#556C22semidirect
44. C2×#556C22semidirect
45. C2×#554C22semidirect
46. C2×#552C22semidirect
47. C2×#552C22semidirect
54. C2×#539C22semidirect
57. C2×#537C22semidirect
62. C2×#536C22semidirect
63. C2×#536C22semidirect
64. C2×#536C22semidirect
65. C2×#533C22semidirect
68. C22×C4⋊Q8C22semidirect
69. C2×#529C22semidirect
77. C2×#520C22semidirect
78. C22×C4×Q8C22semidirect
79. #2868C22semidirect
80. #2858C22semidirect
81. #2854C22semidirect
84. #2821C22semidirect
85. #2820C22semidirect
86. #2816C22semidirect
87. #2813C22semidirect
89. #2723C22semidirect
90. #2723C22semidirect
93. #2720C22semidirect
94. #2720C22semidirect
95. #2720C22semidirect
96. #2720C22semidirect
97. #2718C22semidirect
98. #2718C22semidirect
99. #2718C22semidirect
100. #2718C22semidirect
101. #2718C22semidirect
102. #2718C22semidirect
103. #2714C22semidirect
104. #2711C22semidirect
105. #2711C22semidirect
106. #2710C22semidirect
107. #2710C22semidirect
108. #2710C22semidirect
109. #2706C22semidirect
110. #2706C22semidirect
111. #2706C22semidirect
113. #2692C22semidirect
114. #2692C22semidirect
118. #2676C22semidirect
120. #2662C22semidirect
121. #2661C22semidirect
122. #2660C22semidirect
123. #2658C22semidirect
124. #2658C22semidirect
126. #2635C22semidirect
127. #2633C22semidirect
128. #2632C22semidirect
129. #2628C22semidirect
131. #2624C22semidirect
132. #2623C22semidirect
133. #2620C22semidirect
134. #2618C22semidirect
137. #2610C22semidirect
138. #2603C22semidirect
140. #2592C22semidirect
141. #2592C22semidirect
142. #2580C22semidirect
143. #2568C22semidirect
144. #2568C22semidirect
145. #2567C22semidirect
147. #2543C22semidirect
150. #2542C22semidirect
151. #2542C22semidirect
152. #2542C22semidirect
153. #2542C22semidirect
154. #2542C22semidirect
155. #2542C22semidirect
158. #2540C22semidirect
159. #2540C22semidirect
162. #2502C22semidirect
163. #2501C22semidirect
164. #2501C22semidirect
165. #2501C22semidirect
166. #2500C22semidirect
168. #2492C22semidirect
169. #2492C22semidirect
170. #2492C22semidirect
172. #2491C22semidirect
174. #2490C22semidirect
176. #2489C22semidirect
177. #2489C22semidirect
178. #2489C22semidirect
179. #2488C22semidirect
180. #2488C22semidirect
181. #2488C22semidirect
182. #2488C22semidirect
183. #2487C22semidirect
184. #2486C22semidirect
189. #2436C22semidirect
194. #2434C22semidirect
195. #2434C22semidirect
196. #2434C22semidirect
197. #2434C22semidirect
198. #2434C22semidirect
204. #2432C22semidirect
205. #2432C22semidirect
206. #2432C22semidirect
207. #2432C22semidirect
208. #2432C22semidirect
211. #2431C22semidirect
214. #2430C22semidirect
215. #2430C22semidirect
221. #2429C22semidirect
222. #2429C22semidirect
223. #2429C22semidirect
224. #2429C22semidirect
225. #2429C22semidirect
226. #2429C22semidirect
227. #2429C22semidirect
228. #2429C22semidirect
229. #2429C22semidirect
230. #2429C22semidirect
231. #2428C22semidirect
233. #2427C22semidirect
234. #2427C22semidirect
235. #2426C22semidirect
236. #2426C22semidirect
237. #2426C22semidirect
238. #2426C22semidirect
239. #2426C22semidirect
241. #2417C22semidirect
242. #2417C22semidirect
243. #2416C22semidirect
244. #2416C22semidirect
246. #2415C22semidirect
247. #2415C22semidirect
248. #2414C22semidirect
249. #2414C22semidirect
253. #2409C22semidirect
254. #2409C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
258. #2406C22semidirect
259. #2406C22semidirect
262. #2398C22semidirect
263. C2×#398C22semidirect
267. #2353C22semidirect
268. #2352C22semidirect
269. #2347C22semidirect
270. #2346C22semidirect
271. #2345C22semidirect
272. #2344C22semidirect
274. #2324C22semidirect
276. #2320C22semidirect
277. #2319C22semidirect
278. #2317C22semidirect
279. #2316C22semidirect
282. #2310C22semidirect
284. C4×#124C22semidirect
289. #2297C22semidirect
290. #2297C22semidirect
291. #2295C22semidirect
292. C2×#391C22semidirect
293. #2293C22semidirect
294. C2×#389C22semidirect
295. C2×#389C22semidirect
298. #2274C22semidirect
299. C4×#117C22semidirect
475. #520D4semidirect
1720. C22⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
C2×#34892
C2×#35072
#429942
#429112
#428152
#428122
#426832
#426802
#426432
#424342
#413752
#405172
#399542
#399532
#398872
#398632
#396162
#395942
#394882
#389172
#383622
#380412
#356662
#356602
#356342
#356332
#356282
#355642
#353172
#353052
#351532
#348132
#347382
C2×#24292
#342532