Finite Group Databasebeta

← #7655399

Subgroups — #7655399

Order 512.

6997 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3475C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#42681C211yesmaximal, characteristic, complemented
4#42677C211yesmaximal, characteristic, complemented
5#42482C211yesmaximal, characteristic, complemented
6#42478C211yesmaximal, characteristic, complemented
7#42173C212yesmaximal, complemented
8#42168C212yesmaximal, complemented
9#41989C212yesmaximal, complemented
10#41986C212yesmaximal, complemented
11#39885C212yesmaximal, complemented
12#39884C212yesmaximal, complemented
13#39883C212yesmaximal, complemented
14#39878C212yesmaximal, complemented
15#39870C214yesmaximal, complemented
16#39869C214yesmaximal, complemented
17#38383C214yesmaximal, complemented
18#38382C214yesmaximal, complemented
19#37552C212yesmaximal, complemented
20#37545C211yesmaximal, characteristic, complemented
21#36440C212yesmaximal, complemented
22#36436C212yesmaximal, complemented
23#36235C212yesmaximal, complemented
24#36234C212yesmaximal, complemented
25#36065C211yesmaximal, characteristic, complemented
26#36048C211yesmaximal, characteristic, complemented
27#35926C211yesmaximal, characteristic, complemented
28#35909C211yesmaximal, characteristic, complemented
29#35342C212yesmaximal, complemented
30#35200C211yesmaximal, characteristic, complemented
31#35118C212yesmaximal, complemented
32#35102C211yesmaximal, characteristic, complemented
33#34963C211yesmaximal, characteristic, complemented
34#34875C212yesmaximal, complemented
35#34197C211yesmaximal, characteristic, complemented
36#3475—216no—
37#3475—216no—
38C2×#556C2211yescharacteristic, complemented
39C2×#556C2211yescharacteristic, complemented
40C2×#555C2211yescharacteristic
41C2×#555C2211yescharacteristic
42C2×#554C2211yescharacteristic, complemented
43C2×#554C2211yescharacteristic, complemented
44C2×#553C2212yes—
45C2×#553C2212yes—
46C2×#552C2211yescharacteristic
47C2×#552C2211yescharacteristic, complemented
48C2×#552C2212yescomplemented
49C2×#552C2212yescomplemented
50C2×#552C2212yescomplemented
51C2×#551C2212yes—
52C2×#551C2214yescomplemented
53C2×#551C2212yescomplemented
54C2×#547C2211yescharacteristic
55C2×#547C2211yescharacteristic
56C2×#546C2211yescharacteristic
57C2×#546C2212yescomplemented
58C2×#546C2211yescharacteristic, complemented
59C2×#533C2211yescharacteristic, complemented
60C2×#533C2211yescharacteristic, complemented
61C2×#529C2211yescharacteristic
62C2×#529C2212yes—
63C2×#529C2212yescomplemented
64C2×#529C2212yescomplemented
65C2×#529C2211yescharacteristic, complemented
66C2×#529C2214yescomplemented
67C2×#525C2212yes—
68C2×#525C2212yes—
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2212yescomplemented
72C2×C4×#41C2211yescharacteristic, complemented
73C22×C4×D4C2211yescharacteristic, complemented
74C22×C4×D4C2211yescharacteristic, complemented
75C22×#117C2212yescomplemented
76C22×#117C2212yescomplemented
77#2853C2214yescomplemented
78#2851C2214yescomplemented
79#2851C2212yescomplemented
80#2851C2212yescomplemented
81#2850C2214yescomplemented
82#2849C2214yescomplemented
83#2848C2212yescomplemented
84#2847C2212yes—
85#2817C2212yescomplemented
86#2816C2212yescomplemented
87#2816C2212yescomplemented
88#2815C2212yes—
89#2814C2212yescomplemented
90#2814C2212yescomplemented
91#2726C2214yescomplemented
92#2725C2214yescomplemented
93#2724C2214yescomplemented
94#2710C2214yescomplemented
95#2707C2214yescomplemented
96#2707C2214yescomplemented
97#2706C2214yescomplemented
98#2705C2214yescomplemented
99#2704C2214yescomplemented
100#2701C2214yes—
101#2701C2214yescomplemented
102#2700C2214yescomplemented
103#2697C2214yes—
104#2697C2214yescomplemented
105#2687C2214yescomplemented
106#2682C2214yescomplemented
107#2681C2214yes—
108#2680C2214yescomplemented
109#2679C2214yes—
110#2678C2214yes—
111#2678C2214yescomplemented
112#2678C2214yescomplemented
113#2674C2214yescomplemented
114#2670C2214yescomplemented
115#2664C2212yescomplemented
116#2664C2212yescomplemented
117#2662C2212yescomplemented
118#2662C2212yescomplemented
119#2660C2211yescharacteristic, complemented
120#2660C2211yescharacteristic, complemented
121#2640C2211yescharacteristic, complemented
122#2640C2211yescharacteristic, complemented
123#2638C2212yes—
124#2638C2212yescomplemented
125#2638C2214yescomplemented
126#2637C2214yescomplemented
127#2637C2214yescomplemented
128#2636C2214yescomplemented
129#2630C2214yescomplemented
130#2630C2214yescomplemented
131#2627C2212yescomplemented
132#2626C2212yescomplemented
133#2625C2212yescomplemented
134#2624C2212yescomplemented
135#2623C2212yescomplemented
136#2618C2212yescomplemented
137#2617C2212yes—
138#2616C2212yescomplemented
139#2615C2212yes—
140#2613C2212yescomplemented
141#2611C2212yescomplemented
142#2611C2212yescomplemented
143#2611C2214yescomplemented
144#2610C2212yes—
145#2610C2212yescomplemented
146#2610C2214yescomplemented
147#2609C2214yescomplemented
148#2609C2214yescomplemented
149#2609C2214yescomplemented
150#2609C2214yescomplemented
151#2604C2212yescomplemented
152#2604C2212yescomplemented
153#2603C2212yescomplemented
154#2603C2212yescomplemented
155#2603C2214yescomplemented
156#2602C2214yescomplemented
157#2602C2214yescomplemented
158#2602C2214yescomplemented
159#2602C2214yescomplemented
160#2601C2214yescomplemented
161#2601C2214yescomplemented
162#2600C2214yescomplemented
163#2600C2214yescomplemented
164#2599C2212yescomplemented
165#2599C2212yescomplemented
166#2599C2212yescomplemented
167#2599C2212yescomplemented
168#2598C2211yescharacteristic
169#2598C2211yescharacteristic
170#2598C2211yescharacteristic, complemented
171#2598C2212yescomplemented
172#2598C2212yescomplemented
173#2598C2211yescharacteristic, complemented
174#2580C2212yescomplemented
175#2579C2214yescomplemented
176#2567C2211yescharacteristic, complemented
177#2566C2212yescomplemented
178#2565C2212yescomplemented
179#2563C2211yescharacteristic, complemented
180#2562C2211yescharacteristic, complemented
181#2562C2211yescharacteristic, complemented
182#2560C2214yescomplemented
183#2560C2214yescomplemented
184#2556C2214yescomplemented
185#2554C2214yescomplemented
186#2547C2211yescharacteristic, complemented
187#2546C2211yescharacteristic, complemented
188#2540C2211yescharacteristic
189#2540C2211yescharacteristic
190#2538C2212yescomplemented
191#2538C2212yescomplemented
192#2536C2212yescomplemented
193#2536C2212yescomplemented
194#2536C2212yescomplemented
195#2535C2212yes—
196#2535C2212yes—
197#2534C2214yescomplemented
198#2519C2214yescomplemented
199#2512C2214yescomplemented
200#2500C2212yes—
201#2499C2212yescomplemented
202#2499C2212yescomplemented
203#2487C2211yescharacteristic
204#2487C2211yescharacteristic, complemented
205#2485C2212yes—
206#2485C2212yescomplemented
207#2484C2212yescomplemented
208#2482C2212yescomplemented
209#2482C2212yescomplemented
210#2480C2214yescomplemented
211#2480C2214yescomplemented
212#2478C2214yescomplemented
213#2478C2214yescomplemented
214#2476C2214yescomplemented
215#2476C2214yescomplemented
216#2474C2214yescomplemented
217#2472C2214yescomplemented
218#2470C2214yes—
219#2468C2214yescomplemented
220#2466C2214yescomplemented
221#2464C2214yescomplemented
222#2461C2214yescomplemented
223#2456C2214yes—
224#2452C2214yescomplemented
225#2442C2212yescomplemented
226#2441C2212yescomplemented
227#2440C2212yescomplemented
228#2439C2212yescomplemented
229#2432C2212yes—
230#2429C2212yescomplemented
231#2429C2212yescomplemented
232#2426C2212yescomplemented
233#2426C2212yescomplemented
234#2424C2214yes—
235#2424C2214yescomplemented
236#2422C2212yescomplemented
237#2422C2212yescomplemented
238#2420C2212yescomplemented
239#2420C2212yescomplemented
240#2418C2214yes—
241#2417C2212yescomplemented
242#2416C2212yescomplemented
243#2415C2212yescomplemented
244#2414C2212yescomplemented
245#2408C2211yescharacteristic
246#2408C2211yescharacteristic, complemented
247#2408C2212yescomplemented
248#2408C2212yescomplemented
249#2407C2212yescomplemented
250#2407C2212yescomplemented
251#2406C2212yescomplemented
252#2404C2212yes—
253#2404C2212yes—
254#2398C2211yescharacteristic, complemented
255#2398C2211yescharacteristic, complemented
256#2397C2211yescharacteristic
257#2397C2211yescharacteristic
258#2396C2212yescomplemented
259#2396C2212yescomplemented
260#2392C2212yes—
261#2392C2212yescomplemented
262#2363C2212yescomplemented
263#2362C2212yescomplemented
264#2361C2212yescomplemented
265#2360C2212yescomplemented
266#2357C2212yescomplemented
267#2357C2214yescomplemented
268#2354C2212yescomplemented
269#2352C2212yescomplemented
270#2352C2212yescomplemented
271#2351C2212yescomplemented
272D4×C4⋊C4C2212yescomplemented
273#2346C2212yescomplemented
274#2346C2214yescomplemented
275#2341C2212yes—
276#2327C2212yescomplemented
277#2326C2212yescomplemented
278#2324C2214yescomplemented
279#2323C2214yescomplemented
280#2322C2214yescomplemented
281#2321C2214yescomplemented
282#2321C2214yescomplemented
283#2319C2212yescomplemented
284#2319C2212yescomplemented
285#2319C2211yescharacteristic, complemented
286#2319C2211yescharacteristic, complemented
287C4×#123C2214yescomplemented
288C4×#121C2212yes—
289C4×#121C2212yescomplemented
290C4×#120C2212yes—
291C4×#120C2214yescomplemented
292C4×#120C2212yescomplemented
293#2290C2214yescomplemented
294#2290C2214yescomplemented
295#2283C2212yescomplemented
296#2283C2211yescharacteristic, complemented
297#2283C2212yescomplemented
298#2283C2211yescharacteristic, complemented
299#2276C2211yescharacteristic, complemented
300#2276C2211yescharacteristic, complemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C23×D4C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C24×C4C2312yes—
308C24×C4C2312yes—
309#556—28no—
310#556—28no—
311#555—28no—
312#555—28no—
313#554—28no—
314#554—28no—
315#553—216no—
316#553—216no—
317#552—216no—
318#552—28no—
319#552—216no—
320#552—28no—
321#552—216no—
322#551—216no—
323#551—232no—
324#551—216no—
325#547—28no—
326#547—28no—
327#546—28no—
328#546—28no—
329#546—216no—
330#533—28no—
331#533—28no—
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337#529—28no—
338#529—216no—
339#529—232no—
340#529—28no—
341#529—216no—
342#529—216no—
343C2×#126C2312yes—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#126C2312yes—
347C2×#126C2312yes—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2314yes—
352C2×#125C2311yescharacteristic
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2311yescharacteristic
358C2×#125C2314yes—
359C2×#125C2312yes—
360C2×#124C2312yes—
361C2×#124C2312yes—
362C2×#124C2311yescharacteristic
363C2×#124C2314yes—
364C2×#124C2312yes—
365C2×#124C2311yescharacteristic
366C2×#124C2312yes—
367#525—216no—
368#525—216no—
369C2×#123C2314yes—
370C2×#123C2312yes—
371C2×#123C2312yes—
372C2×#123C2312yes—
373C2×#123C2312yes—
374C2×#123C2314yes—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2311yescharacteristic
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2311yescharacteristic
409C2×#121C2312yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#120C2312yes—
417C2×#120C2314yes—
418C2×#120C2312yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421C2×#120C2312yes—
422C2×#120C2312yes—
423C2×#120C2314yes—
424C4×#41—28no—
425C4×#41—28no—
426C4×#41—216no—
427C4×#41D4116yescomplemented
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×D4—28no—
441C2×C4×D4—28no—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×#117—216no—
479C2×#117—216no—
480C2×#117C2314yes—
481C2×#117C2311yescharacteristic
482C2×#117C2312yes—
483C2×#117C2311yescharacteristic
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2311yescharacteristic
487C2×#117C2312yes—
488C2×#117C2314yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2314yes—
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2311yescharacteristic
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2311yescharacteristic
506C22×C4⋊C4C2312yes—
507C22×C22⋊C4C2312yes—
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2312yes—
510C22×C22⋊C4C2314yes—
511C22×C22⋊C4C2312yes—
512C22×C42C2314yes—
513C22×C42C2311yescharacteristic
514C22×C42C2311yescharacteristic
515C22×C42C2312yes—
516C22×C42C2312yes—
517C22×C42C2311yescharacteristic
518#400C2311yescharacteristic
519#400C2312yes—
520#400C2314yes—
521#400C2312yes—
522#400C2311yescharacteristic
523#400C2311yescharacteristic
524#400C2311yescharacteristic
525#399C2311yescharacteristic
526#399C2312yes—
527#399C2314yes—
528#399C2312yes—
529#399C2312yes—
530#399C2311yescharacteristic
531#399C2311yescharacteristic
532#399C2311yescharacteristic
533#399C2312yes—
534#398C2314yes—
535#398C2314yes—
536#398C2312yes—
537#398C2312yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2312yes—
543#398C2312yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#397C2312yes—
550#397C2314yes—
551#397C2314yes—
552#397C2314yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2312yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#395C2312yes—
581#395C2312yes—
582#395C2314yes—
583#395C2312yes—
584#395C2312yes—
585#395C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2311yescharacteristic
589#394C2312yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2312yes—
596#394C2311yescharacteristic
597#394C2311yescharacteristic
598#394C2311yescharacteristic
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#393C2312yes—
613#393C2314yes—
614#393C2312yes—
615#393C2312yes—
616#393C2314yes—
617#393C2312yes—
618#393C2312yes—
619#393C2312yes—
620#392C2311yescharacteristic
621#392C2311yescharacteristic
622#392C2311yescharacteristic
623#392C2312yes—
624#392C2312yes—
625#392C2311yescharacteristic
626#392C2314yes—
627#392C2314yes—
628#392C2314yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2312yes—
633#392C2312yes—
634#391C2312yes—
635#391C2312yes—
636#391C2312yes—
637#391C2312yes—
638#391C2314yes—
639#391C2312yes—
640#390C2314yes—
641#390C2314yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#390C2314yes—
648#390C2314yes—
649#390C2314yes—
650#390C2314yes—
651#390C2314yes—
652#390C2314yes—
653#390C2314yes—
654#390C2312yes—
655#390C2312yes—
656#390C2314yes—
657#390C2314yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2314yes—
663#389C2314yes—
664#389C2314yes—
665#389C2314yes—
666#389C2314yes—
667#389C2314yes—
668#389C2314yes—
669#389C2314yes—
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2314yes—
675#389C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2312yes—
703#388C2314yes—
704#388C2314yes—
705#388C2312yes—
706#388C2312yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2312yes—
740#386C2314yes—
741#386C2312yes—
742#386C2314yes—
743#386C2312yes—
744#386C2314yes—
745#386C2312yes—
746#386C2312yes—
747#386C2312yes—
748#386C2312yes—
749#386C2314yes—
750#386C2314yes—
751#386C2312yes—
752#386C2312yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2312yes—
758#385C2314yes—
759#385C2314yes—
760#385C2312yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2312yes—
766#385C2312yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2312yes—
777#385C2312yes—
778#384C2312yes—
779#384C2312yes—
780#384C2312yes—
781#383C2311yescharacteristic
782#383C2311yescharacteristic
783#383C2312yes—
784#382C2312yes—
785#382C2312yes—
786#382C2312yes—
787#382C2312yes—
788#382C2314yes—
789#382C2312yes—
790#382C2314yes—
791#381C2312yes—
792#381C2312yes—
793#381C2312yes—
794#381C2314yes—
795#381C2314yes—
796#381C2312yes—
797#381C2314yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2311yescharacteristic
807#380C2311yescharacteristic
808#380C2314yes—
809#380C2314yes—
810#380C2314yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#379C2314yes—
817#379C2314yes—
818#379C2312yes—
819#379C2314yes—
820#379C2312yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845#376C2312yes—
846#376C2312yes—
847#376C2311yescharacteristic
848#376C2311yescharacteristic
849#376C2312yes—
850#376C2314yes—
851C25C2412yes—
852C25C2412yes—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—42no—
857C2×#41—48no—
858C2×#41—44no—
859C2×#41—42no—
860C2×#41—44no—
861C2×#41C2×D418yes—
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×D4—24no—
869C22×D4—24no—
870C22×D4—44no—
871C22×D4—44no—
872C22×D4C2411yescharacteristic
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2414yes—
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2412yes—
893C23×C4—28no—
894C23×C4—28no—
895C23×C4—44no—
896C23×C4—44no—
897C23×C4—44no—
898C23×C4—44no—
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2414yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C4⋊Q8—24no—
925C4⋊Q8—24no—
926C4⋊Q8—24no—
927C4⋊Q8—24no—
928C4⋊Q8—44no—
929#126—28no—
930#126—28no—
931#126—216no—
932#126—28no—
933#126—216no—
934#126—216no—
935#126—28no—
936#126—28no—
937#126—28no—
938#125—216no—
939#125—28no—
940#125—24no—
941#125—28no—
942#125—28no—
943#125—28no—
944#125—24no—
945#125—28no—
946#124—24no—
947#124—216no—
948#124—28no—
949#124—28no—
950#124—24no—
951#124—28no—
952#124—44no—
953#123—216no—
954#123—28no—
955#123—28no—
956#123—28no—
957#123—216no—
958#123—28no—
959#123—28no—
960#123—216no—
961#123—28no—
962#123—28no—
963#123—28no—
964#123—216no—
965#123—48no—
966#123—48no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—24no—
970C22⋊Q8—24no—
971C22⋊Q8—24no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—28no—
977C22⋊Q8—216no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—48no—
983C22⋊Q8—44no—
984C22⋊Q8—44no—
985#121—28no—
986#121—28no—
987#121—28no—
988#121—28no—
989#121—28no—
990#121—24no—
991#121—28no—
992#121—24no—
993#121—28no—
994#121—216no—
995#121—44no—
996#121—44no—
997#121—44no—
998#121—44no—
999#121—48no—
1000#120—216no—
1001#120—28no—
1002#120—28no—
1003#120—44no—
1004#120—48no—
1005#120—48no—
1006#120—44no—
1007#120—48no—
1008C4×Q8—24no—
1009C4×Q8—24no—
1010C4×Q8—28no—
1011C4×Q8—24no—
1012C4×Q8—28no—
1013C4×Q8—24no—
1014C4×Q8—28no—
1015C4×Q8—28no—
1016C4×Q8—44no—
1017C4×Q8—44no—
1018C4×Q8C2×D418yes—
1019C4×Q8C2×D418yes—
1020C4×D4—24no—
1021C4×D4—24no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—216no—
1025C4×D4—24no—
1026C4×D4—24no—
1027C4×D4—24no—
1028C4×D4—216no—
1029C4×D4—24no—
1030C4×D4—28no—
1031C4×D4—216no—
1032C4×D4—24no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—24no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—28no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—28no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—44no—
1049C4×D4—44no—
1050C4×D4—48no—
1051C4×D4—48no—
1052C4×D4C2×D418yes—
1053C4×D4C2×D4116yes—
1054C4×D4C2×D418yes—
1055C4×D4C2×D4116yes—
1056#117—28no—
1057#117—24no—
1058#117—28no—
1059#117—28no—
1060#117—28no—
1061#117—24no—
1062#117—216no—
1063#117—28no—
1064#117—24no—
1065#117—28no—
1066#117—28no—
1067#117—216no—
1068#117—28no—
1069#117—28no—
1070#117—28no—
1071#117—28no—
1072#117—28no—
1073#117—24no—
1074#117—216no—
1075#117C2×D418yes—
1076#117C2×D4116yes—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4—28no—
1079C2×C4⋊C4—24no—
1080C2×C4⋊C4—28no—
1081C2×C4⋊C4—28no—
1082C2×C4⋊C4—24no—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C22⋊C4—28no—
1145C2×C22⋊C4—28no—
1146C2×C22⋊C4—28no—
1147C2×C22⋊C4—216no—
1148C2×C22⋊C4—28no—
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C42—28no—
1224C2×C42—216no—
1225C2×C42—24no—
1226C2×C42—24no—
1227C2×C42C2×D4116yes—
1228C2×C42C2×D418yes—
1229C2×C42C2412yes—
1230C2×C42C2414yes—
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2412yes—
1234C2×C42C2414yes—
1235C2×C42C2414yes—
1236C2×C42C2412yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2414yes—
1244C2×C42C2414yes—
1245C2×C42C2414yes—
1246C2×C42C2414yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253C2×C42C2412yes—
1254C2×C42C2411yescharacteristic
1255C2×C42C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2414yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2411yescharacteristic
1262#95C2412yes—
1263#95C2411yescharacteristic
1264#95C2414yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303C24—24no—
1304C24—24no—
1305C24—24no—
1306C24—24no—
1307C24—42no—
1308C24—42no—
1309C24—42no—
1310C24—44no—
1311C24—42no—
1312C24—42no—
1313C24—42no—
1314C24—44no—
1315C24C2512yes—
1316C24C2512yes—
1317C24C2511yescharacteristic
1318C24C2511yescharacteristic
1319C24C2512yes—
1320C24C2511yescharacteristic
1321C24C2512yes—
1322#41—416no—
1323#41—416no—
1324#41—432no—
1325#41—416no—
1326C2×Q8—22no—
1327C2×Q8—24no—
1328C2×Q8—22no—
1329C2×Q8—24no—
1330C2×Q8—24no—
1331C2×Q8—24no—
1332C2×Q8—24no—
1333C2×Q8—22no—
1334C2×Q8—41no—
1335C2×Q8—44no—
1336C2×Q8—44no—
1337C2×Q8—42no—
1338C2×Q8—42no—
1339C2×Q8C22×D414yes—
1340C2×D4—24no—
1341C2×D4—22no—
1342C2×D4—28no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—22no—
1349C2×D4—28no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—28no—
1354C2×D4—24no—
1355C2×D4—28no—
1356C2×D4—24no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—22no—
1365C2×D4—24no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—41no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—44no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—416no—
1393C2×D4—416no—
1394C2×D4C22×D414yes—
1395C2×D4C22×D418yes—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—28no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—28no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—22no—
1426C22×C4—28no—
1427C22×C4—22no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—44no—
1443C22×C4—41no—
1444C22×C4—41no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—44no—
1455C22×C4—432no—
1456C22×C4—432no—
1457C22×C4C22×D414yes—
1458C22×C4C22×D418yes—
1459C22×C4C22×D414yes—
1460C22×C4C22×D418yes—
1461C22×C4C22×D418yes—
1462C22×C4C22×D414yes—
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2514yes—
1468C22×C4C2514yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2512yes—
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2514yes—
1474C22×C4C2512yes—
1475C22×C4C2511yescharacteristic
1476C22×C4C2514yes—
1477C22×C4C2512yes—
1478C22×C4C2511yescharacteristic
1479C22×C4C2512yes—
1480C22×C4C2512yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2512yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2512yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2512yes—
1489C22×C4C2511yescharacteristic
1490C22×C4C2511yescharacteristic
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—28no—
1502C4⋊C4—28no—
1503C4⋊C4—24no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—28no—
1513C4⋊C4—28no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—24no—
1519C4⋊C4—28no—
1520C4⋊C4—24no—
1521C4⋊C4—28no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—28no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—42no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—44no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4C22×D414yes—
1549C4⋊C4C22×D414yes—
1550C4⋊C4C22×D418yes—
1551C4⋊C4C22×D418yes—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—22no—
1556C22⋊C4—28no—
1557C22⋊C4—22no—
1558C22⋊C4—24no—
1559C22⋊C4—28no—
1560C22⋊C4—28no—
1561C22⋊C4—28no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—22no—
1565C22⋊C4—22no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—28no—
1573C22⋊C4—28no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—28no—
1581C22⋊C4—22no—
1582C22⋊C4—24no—
1583C22⋊C4—22no—
1584C22⋊C4—28no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—42no—
1601C22⋊C4—44no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4C22×D418yes—
1624C22⋊C4C22×D418yes—
1625C22⋊C4C22×D418yes—
1626C42—22no—
1627C42—24no—
1628C42—28no—
1629C42—22no—
1630C42—24no—
1631C42—28no—
1632C42—24no—
1633C42—28no—
1634C42—22no—
1635C42—22no—
1636C42—22no—
1637C42—22no—
1638C42—24no—
1639C42—24no—
1640C42—44no—
1641C42—44no—
1642C42—44no—
1643C42—44no—
1644C42—42no—
1645C42—42no—
1646C42C22×D418yes—
1647C42C22×D414yes—
1648C42C22×D414yes—
1649C42C22×D418yes—
1650C42C22×D418yes—
1651C42C22×D414yes—
1652C42C22×D414yes—
1653C23—21no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—24no—
1661C23—22no—
1662C23—22no—
1663C23—21no—
1664C23—21no—
1665C23—22no—
1666C23—22no—
1667C23—21no—
1668C23—22no—
1669C23—22no—
1670C23—24no—
1671C23—22no—
1672C23—22no—
1673C23—21no—
1674C23—22no—
1675C23—21no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—24no—
1683C23—24no—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—21no—
1688C23—48no—
1689C23—48no—
1690C23—48no—
1691C23—48no—
1692C23—88no—
1693C23—84no—
1694C23—84no—
1695C23—84no—
1696C23—84no—
1697C23—84no—
1698C23—84no—
1699C23—88no—
1700C23C23×D412yes—
1701C23C23×D414yes—
1702C23#58512yes—
1703C23#58514yes—
1704C23C2611yescharacteristic
1705Q8—28no—
1706Q8—44no—
1707Q8—48no—
1708Q8—44no—
1709Q8—84no—
1710Q8—84no—
1711D4—28no—
1712D4—28no—
1713D4—48no—
1714D4—48no—
1715D4—44no—
1716D4—44no—
1717D4—44no—
1718D4—48no—
1719D4—44no—
1720D4—416no—
1721D4—48no—
1722D4—48no—
1723D4—44no—
1724D4—84no—
1725D4—84no—
1726D4—84no—
1727D4—88no—
1728D4—88no—
1729D4—84no—
1730D4—84no—
1731D4—164no—
1732C2×C4—28no—
1733C2×C4—21no—
1734C2×C4—24no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—24no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—28no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—24no—
1752C2×C4—21no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—24no—
1766C2×C4—22no—
1767C2×C4—24no—
1768C2×C4—24no—
1769C2×C4—22no—
1770C2×C4—24no—
1771C2×C4—22no—
1772C2×C4—24no—
1773C2×C4—22no—
1774C2×C4—24no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—24no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—24no—
1789C2×C4—24no—
1790C2×C4—24no—
1791C2×C4—24no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—21no—
1795C2×C4—48no—
1796C2×C4—44no—
1797C2×C4—44no—
1798C2×C4—48no—
1799C2×C4—48no—
1800C2×C4—48no—
1801C2×C4—48no—
1802C2×C4—48no—
1803C2×C4—416no—
1804C2×C4—48no—
1805C2×C4—48no—
1806C2×C4—48no—
1807C2×C4—44no—
1808C2×C4—48no—
1809C2×C4—48no—
1810C2×C4—48no—
1811C2×C4—48no—
1812C2×C4—44no—
1813C2×C4—44no—
1814C2×C4—88no—
1815C2×C4—82no—
1816C2×C4—82no—
1817C2×C4—84no—
1818C2×C4C23×D412yes—
1819C2×C4C23×D412yes—
1820C2×C4C23×D414yes—
1821C2×C4C23×D414yes—
1822C2×C4C23×D412yes—
1823C2×C4C23×D412yes—
1824C2×C4C23×D414yes—
1825C2×C4C23×D412yes—
1826C2×C4C23×D412yes—
1827C2×C4#58512yes—
1828C2×C4#58514yes—
1829C22—24no—
1830C22—24no—
1831C22—24no—
1832C22—22no—
1833C22—24no—
1834C22—24no—
1835C22—24no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—24no—
1840C22—42no—
1841C22—44no—
1842C22—42no—
1843C22—42no—
1844C22—44no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—41no—
1849C22—42no—
1850C22—41no—
1851C22—42no—
1852C22—42no—
1853C22—44no—
1854C22—42no—
1855C22—42no—
1856C22—44no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—41no—
1861C22—41no—
1862C22—42no—
1863C22—42no—
1864C22—42no—
1865C22—42no—
1866C22—41no—
1867C22—42no—
1868C22—816no—
1869C22—816no—
1870C22C24×D411yescharacteristic
1871C22C2×#58511yescharacteristic
1872C22C2×#58512yes—
1873C22C2×#58512yes—
1874C22C2×#58511yescharacteristic
1875C4—22no—
1876C4—22no—
1877C4—24no—
1878C4—22no—
1879C4—24no—
1880C4—22no—
1881C4—22no—
1882C4—22no—
1883C4—24no—
1884C4—42no—
1885C4—42no—
1886C4—44no—
1887C4—42no—
1888C4—42no—
1889C4—44no—
1890C4—42no—
1891C4—41no—
1892C4—44no—
1893C4—41no—
1894C4—44no—
1895C4—42no—
1896C4—41no—
1897C4—42no—
1898C4—41no—
1899C4—42no—
1900C4—41no—
1901C4—42no—
1902C4#344914yes—
1903C2—44no—
1904C2—44no—
1905C2—42no—
1906C2—42no—
1907C2—81no—
1908C2—82no—
1909C2—82no—
1910C2C2×#344911yescharacteristic
1911C2#6281111yescharacteristic
1912C2#6281111yescharacteristic
1913C2#6302712yes—
1914C2#6302812yes—
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×#3475C2semidirect
2. C2×#3475C2semidirect
3. #42681C2semidirect
4. #42677C2semidirect
5. #42482C2semidirect
6. #42478C2semidirect
7. #42173C2semidirect
8. #42168C2semidirect
9. #41989C2semidirect
10. #41986C2semidirect
11. #39885C2semidirect
12. #39884C2semidirect
13. #39883C2semidirect
14. #39878C2semidirect
15. #39870C2semidirect
16. #39869C2semidirect
17. #38383C2semidirect
18. #38382C2semidirect
19. #37552C2semidirect
20. #37545C2semidirect
21. #36440C2semidirect
22. #36436C2semidirect
23. #36235C2semidirect
24. #36234C2semidirect
25. #36065C2semidirect
26. #36048C2semidirect
27. #35926C2semidirect
28. #35909C2semidirect
29. #35342C2semidirect
30. #35200C2semidirect
31. #35118C2semidirect
32. #35102C2semidirect
33. #34963C2semidirect
34. #34875C2semidirect
35. #34197C2semidirect
38. C2×#556C22semidirect
39. C2×#556C22semidirect
42. C2×#554C22semidirect
43. C2×#554C22semidirect
47. C2×#552C22semidirect
48. C2×#552C22semidirect
49. C2×#552C22semidirect
50. C2×#552C22semidirect
52. C2×#551C22semidirect
53. C2×#551C22semidirect
57. C2×#546C22semidirect
58. C2×#546C22semidirect
59. C2×#533C22semidirect
60. C2×#533C22semidirect
63. C2×#529C22semidirect
64. C2×#529C22semidirect
65. C2×#529C22semidirect
66. C2×#529C22semidirect
71. C2×C4×#41C22semidirect
72. C2×C4×#41C22semidirect
73. C22×C4×D4C22semidirect
74. C22×C4×D4C22semidirect
75. C22×#117C22semidirect
76. C22×#117C22semidirect
77. #2853C22semidirect
78. #2851C22semidirect
79. #2851C22semidirect
80. #2851C22semidirect
81. #2850C22semidirect
82. #2849C22semidirect
83. #2848C22semidirect
85. #2817C22semidirect
86. #2816C22semidirect
87. #2816C22semidirect
89. #2814C22semidirect
90. #2814C22semidirect
91. #2726C22semidirect
92. #2725C22semidirect
93. #2724C22semidirect
94. #2710C22semidirect
95. #2707C22semidirect
96. #2707C22semidirect
97. #2706C22semidirect
98. #2705C22semidirect
99. #2704C22semidirect
101. #2701C22semidirect
102. #2700C22semidirect
104. #2697C22semidirect
105. #2687C22semidirect
106. #2682C22semidirect
108. #2680C22semidirect
111. #2678C22semidirect
112. #2678C22semidirect
113. #2674C22semidirect
114. #2670C22semidirect
115. #2664C22semidirect
116. #2664C22semidirect
117. #2662C22semidirect
118. #2662C22semidirect
119. #2660C22semidirect
120. #2660C22semidirect
121. #2640C22semidirect
122. #2640C22semidirect
124. #2638C22semidirect
125. #2638C22semidirect
126. #2637C22semidirect
127. #2637C22semidirect
128. #2636C22semidirect
129. #2630C22semidirect
130. #2630C22semidirect
131. #2627C22semidirect
132. #2626C22semidirect
133. #2625C22semidirect
134. #2624C22semidirect
135. #2623C22semidirect
136. #2618C22semidirect
138. #2616C22semidirect
140. #2613C22semidirect
141. #2611C22semidirect
142. #2611C22semidirect
143. #2611C22semidirect
145. #2610C22semidirect
146. #2610C22semidirect
147. #2609C22semidirect
148. #2609C22semidirect
149. #2609C22semidirect
150. #2609C22semidirect
151. #2604C22semidirect
152. #2604C22semidirect
153. #2603C22semidirect
154. #2603C22semidirect
155. #2603C22semidirect
156. #2602C22semidirect
157. #2602C22semidirect
158. #2602C22semidirect
159. #2602C22semidirect
160. #2601C22semidirect
161. #2601C22semidirect
162. #2600C22semidirect
163. #2600C22semidirect
164. #2599C22semidirect
165. #2599C22semidirect
166. #2599C22semidirect
167. #2599C22semidirect
170. #2598C22semidirect
171. #2598C22semidirect
172. #2598C22semidirect
173. #2598C22semidirect
174. #2580C22semidirect
175. #2579C22semidirect
176. #2567C22semidirect
177. #2566C22semidirect
178. #2565C22semidirect
179. #2563C22semidirect
180. #2562C22semidirect
181. #2562C22semidirect
182. #2560C22semidirect
183. #2560C22semidirect
184. #2556C22semidirect
185. #2554C22semidirect
186. #2547C22semidirect
187. #2546C22semidirect
190. #2538C22semidirect
191. #2538C22semidirect
192. #2536C22semidirect
193. #2536C22semidirect
194. #2536C22semidirect
197. #2534C22semidirect
198. #2519C22semidirect
199. #2512C22semidirect
201. #2499C22semidirect
202. #2499C22semidirect
204. #2487C22semidirect
206. #2485C22semidirect
207. #2484C22semidirect
208. #2482C22semidirect
209. #2482C22semidirect
210. #2480C22semidirect
211. #2480C22semidirect
212. #2478C22semidirect
213. #2478C22semidirect
214. #2476C22semidirect
215. #2476C22semidirect
216. #2474C22semidirect
217. #2472C22semidirect
219. #2468C22semidirect
220. #2466C22semidirect
221. #2464C22semidirect
222. #2461C22semidirect
224. #2452C22semidirect
225. #2442C22semidirect
226. #2441C22semidirect
227. #2440C22semidirect
228. #2439C22semidirect
230. #2429C22semidirect
231. #2429C22semidirect
232. #2426C22semidirect
233. #2426C22semidirect
235. #2424C22semidirect
236. #2422C22semidirect
237. #2422C22semidirect
238. #2420C22semidirect
239. #2420C22semidirect
241. #2417C22semidirect
242. #2416C22semidirect
243. #2415C22semidirect
244. #2414C22semidirect
246. #2408C22semidirect
247. #2408C22semidirect
248. #2408C22semidirect
249. #2407C22semidirect
250. #2407C22semidirect
251. #2406C22semidirect
254. #2398C22semidirect
255. #2398C22semidirect
258. #2396C22semidirect
259. #2396C22semidirect
261. #2392C22semidirect
262. #2363C22semidirect
263. #2362C22semidirect
264. #2361C22semidirect
265. #2360C22semidirect
266. #2357C22semidirect
267. #2357C22semidirect
268. #2354C22semidirect
269. #2352C22semidirect
270. #2352C22semidirect
271. #2351C22semidirect
272. D4×C4⋊C4C22semidirect
273. #2346C22semidirect
274. #2346C22semidirect
276. #2327C22semidirect
277. #2326C22semidirect
278. #2324C22semidirect
279. #2323C22semidirect
280. #2322C22semidirect
281. #2321C22semidirect
282. #2321C22semidirect
283. #2319C22semidirect
284. #2319C22semidirect
285. #2319C22semidirect
286. #2319C22semidirect
287. C4×#123C22semidirect
289. C4×#121C22semidirect
291. C4×#120C22semidirect
292. C4×#120C22semidirect
293. #2290C22semidirect
294. #2290C22semidirect
295. #2283C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
298. #2283C22semidirect
299. #2276C22semidirect
300. #2276C22semidirect
427. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34752
#426812
#426772
#424822
#424782
#421732
#421682
#419892
#419862
#398852
#398842
#398832
#398782
#398702
#398692
#383832
#383822
#375522
#375452
#364402
#364362
#362352
#362342
#360652
#360482
#359262
#359092
#353422
#352002
#351182
#351022
#349632
#348752
#341972