Finite Group Databasebeta

← #7654262

Subgroups — #7654262

Order 512.

7049 conjugacy classes of subgroups.

The subgroup lattice has 1999 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3481C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#42673C212yesmaximal, complemented
4#42474C212yesmaximal, complemented
5#41415C214yesmaximal, complemented
6#41414C214yesmaximal, complemented
7#39881C212yesmaximal, complemented
8#39880C212yesmaximal, complemented
9#39871C214yesmaximal, complemented
10#39870C214yesmaximal, complemented
11#39471C211yesmaximal, characteristic, complemented
12#39470C211yesmaximal, characteristic, complemented
13#38921C211yesmaximal, characteristic, complemented
14#38920C211yesmaximal, characteristic, complemented
15#38049C212yesmaximal, complemented
16#38048C212yesmaximal, complemented
17#37847C212yesmaximal, complemented
18#37846C212yesmaximal, complemented
19#37633C211yesmaximal, characteristic, complemented
20#37445C212yesmaximal, complemented
21#36437C212yesmaximal, complemented
22#36436C212yesmaximal, complemented
23#36411C211yesmaximal, characteristic, complemented
24#36405C211yesmaximal, characteristic, complemented
25#36161C211yesmaximal, characteristic, complemented
26#36160C211yesmaximal, characteristic, complemented
27#36015C212yesmaximal, complemented
28#35773C212yesmaximal, complemented
29#35297C211yesmaximal, characteristic, complemented
30#35189C211yesmaximal, characteristic, complemented
31#35157C212yesmaximal, complemented
32#35031C212yesmaximal, complemented
33#34976C211yesmaximal, characteristic, complemented
34#34809C212yesmaximal, complemented
35#34186C211yesmaximal, characteristic, complemented
36#3481—216no—
37C2×#559C2211yescharacteristic
38#3475—216no—
39C2×#556C2211yescharacteristic
40C2×#555C2211yescharacteristic
41C2×#554C2211yescharacteristic
42C2×#554C2211yescharacteristic
43C2×#554C2211yescharacteristic, complemented
44C2×#553C2211yescharacteristic
45C2×#553C2211yescharacteristic
46C2×#553C2212yes—
47C2×#553C2212yescomplemented
48C2×#552C2212yescomplemented
49C2×#552C2212yescomplemented
50C2×#551C2212yes—
51C2×#551C2212yes—
52C2×#551C2214yescomplemented
53C2×#547C2211yescharacteristic, complemented
54C2×#546C2211yescharacteristic
55C2×#546C2212yes—
56C2×#546C2212yes—
57C2×#546C2211yescharacteristic
58C2×D42C2211yescharacteristic
59C2×#533C2211yescharacteristic, complemented
60C2×#532C2211yescharacteristic
61C2×#529C2211yescharacteristic
62C2×#529C2211yescharacteristic
63C2×#529C2212yes—
64C2×#529C2212yes—
65C2×#529C2214yescomplemented
66C2×#525C2212yes—
67C2×#525C2212yes—
68C2×#525C2212yescomplemented
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2212yescomplemented
72C2×C4×#41C2211yescharacteristic, complemented
73C22×C4×D4C2211yescharacteristic
74C22×C4×D4C2212yes—
75C22×C4×D4C2211yescharacteristic
76C22×#117C2212yescomplemented
77#2857C2211yescharacteristic, complemented
78#2857C2211yescharacteristic, complemented
79#2857C2211yescharacteristic, complemented
80#2857C2211yescharacteristic, complemented
81#2855C2212yescomplemented
82#2854C2212yescomplemented
83#2853C2214yescomplemented
84#2853C2214yescomplemented
85#2851C2212yescomplemented
86#2850C2212yescomplemented
87#2848C2212yescomplemented
88#2847C2212yescomplemented
89#2814C2214yescomplemented
90#2812C2214yes—
91#2812C2214yescomplemented
92#2724C2214yescomplemented
93#2718C2214yescomplemented
94#2718C2214yescomplemented
95#2710C2214yescomplemented
96#2706C2214yescomplemented
97#2706C2214yescomplemented
98#2703C2214yescomplemented
99#2701C2214yes—
100#2701C2214yescomplemented
101#2701C2214yescomplemented
102#2700C2214yescomplemented
103#2699C2214yescomplemented
104#2698C2214yescomplemented
105#2698C2214yescomplemented
106#2697C2214yes—
107#2689C2214yescomplemented
108#2687C2214yescomplemented
109#2685C2214yescomplemented
110#2682C2214yes—
111#2681C2214yescomplemented
112#2680C2214yescomplemented
113#2680C2214yescomplemented
114#2678C2214yes—
115#2678C2214yescomplemented
116#2663C2214yescomplemented
117#2661C2214yescomplemented
118#2638C2214yescomplemented
119#2637C2214yescomplemented
120#2635C2214yescomplemented
121#2630C2214yescomplemented
122#2629C2212yescomplemented
123#2629C2212yescomplemented
124#2625C2212yescomplemented
125#2625C2212yescomplemented
126#2624C2212yescomplemented
127#2622C2214yes—
128#2622C2214yescomplemented
129#2622C2214yescomplemented
130#2621C2212yescomplemented
131#2620C2212yes—
132#2616C2212yes—
133#2616C2212yescomplemented
134#2615C2212yescomplemented
135#2613C2214yes—
136#2609C2212yescomplemented
137#2609C2212yescomplemented
138#2602C2214yes—
139#2602C2214yescomplemented
140#2602C2214yescomplemented
141#2602C2214yescomplemented
142#2601C2214yescomplemented
143#2600C2214yescomplemented
144#2600C2214yescomplemented
145#2584C2212yescomplemented
146#2582C2211yescharacteristic, complemented
147#2582C2211yescharacteristic, complemented
148#2581C2212yescomplemented
149#2567C2211yescharacteristic, complemented
150#2565C2212yescomplemented
151#2563C2211yescharacteristic, complemented
152#2562C2212yescomplemented
153#2560C2214yescomplemented
154#2558C2214yescomplemented
155#2556C2214yescomplemented
156#2554C2214yescomplemented
157#2552C2212yescomplemented
158#2550C2212yescomplemented
159#2547C2211yescharacteristic, complemented
160#2546C2211yescharacteristic, complemented
161#2545C2212yescomplemented
162#2542C2212yescomplemented
163#2540C2212yescomplemented
164#2538C2211yescharacteristic, complemented
165#2538C2211yescharacteristic, complemented
166#2538C2211yescharacteristic, complemented
167#2538C2211yescharacteristic, complemented
168#2537C2211yescharacteristic, complemented
169#2537C2211yescharacteristic, complemented
170#2536C2212yescomplemented
171#2519C2214yescomplemented
172#2519C2214yescomplemented
173#2512C2214yescomplemented
174#2506C2214yescomplemented
175#2500C2214yescomplemented
176#2500C2214yescomplemented
177#2499C2214yescomplemented
178#2499C2214yescomplemented
179#2492C2212yescomplemented
180#2490C2212yescomplemented
181#2489C2212yescomplemented
182#2489C2212yescomplemented
183#2487C2212yescomplemented
184#2487C2212yescomplemented
185#2486C2212yescomplemented
186#2486C2212yescomplemented
187#2485C2211yescharacteristic
188#2485C2212yes—
189#2485C2212yescomplemented
190#2485C2212yescomplemented
191#2485C2212yescomplemented
192#2485C2212yescomplemented
193#2485C2212yescomplemented
194#2485C2212yescomplemented
195#2485C2212yescomplemented
196#2485C2211yescharacteristic, complemented
197#2485C2212yescomplemented
198#2485C2212yescomplemented
199#2484C2214yescomplemented
200#2483C2214yescomplemented
201#2482C2214yescomplemented
202#2480C2214yescomplemented
203#2478C2214yescomplemented
204#2478C2214yescomplemented
205#2476C2214yescomplemented
206#2474C2214yescomplemented
207#2474C2214yescomplemented
208#2472C2214yescomplemented
209#2470C2214yescomplemented
210#2468C2214yescomplemented
211#2468C2214yescomplemented
212#2466C2214yescomplemented
213#2464C2214yescomplemented
214#2461C2214yescomplemented
215#2461C2214yescomplemented
216#2459C2214yescomplemented
217#2457C2214yescomplemented
218#2447C2212yes—
219#2447C2212yes—
220#2447C2212yescomplemented
221#2445C2212yes—
222#2435C2212yes—
223#2432C2212yes—
224#2432C2212yescomplemented
225#2431C2212yes—
226#2422C2212yes—
227#2422C2212yes—
228#2420C2212yes—
229#2420C2212yescomplemented
230#2415C2212yes—
231#2415C2212yescomplemented
232#2415C2212yescomplemented
233#2415C2212yescomplemented
234#2415C2212yescomplemented
235#2415C2212yescomplemented
236#2415C2212yescomplemented
237#2414C2212yes—
238#2414C2212yescomplemented
239#2414C2212yescomplemented
240#2414C2212yescomplemented
241#2414C2212yescomplemented
242#2408C2212yes—
243#2407C2212yes—
244#2407C2212yes—
245#2407C2212yes—
246#2407C2211yescharacteristic
247#2407C2212yescomplemented
248#2407C2211yescharacteristic, complemented
249#2407C2212yescomplemented
250#2405C2214yes—
251#2395C2214yes—
252#2395C2214yescomplemented
253#2392C2212yes—
254#2392C2212yescomplemented
255#2367C2212yescomplemented
256#2365C2212yescomplemented
257#2363C2212yescomplemented
258#2362C2212yescomplemented
259#2362C2212yescomplemented
260#2360C2212yescomplemented
261#2357C2212yes—
262#2357C2212yescomplemented
263#2357C2214yescomplemented
264#2354C2211yescharacteristic
265#2354C2211yescharacteristic
266#2354C2211yescharacteristic, complemented
267#2354C2211yescharacteristic, complemented
268#2354C2212yescomplemented
269#2354C2212yescomplemented
270#2354C2212yescomplemented
271#2352C2212yescomplemented
272#2324C2212yescomplemented
273#2323C2212yescomplemented
274#2323C2212yescomplemented
275#2323C2212yescomplemented
276#2322C2214yescomplemented
277#2321C2214yescomplemented
278#2317C2212yescomplemented
279#2317C2212yescomplemented
280#2312C2214yescomplemented
281#2311C2212yescomplemented
282#2311C2212yescomplemented
283#2309C2212yes—
284C4×C22⋊Q8C2211yescharacteristic, complemented
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×C22⋊Q8C2212yescomplemented
287C4×#123C2214yescomplemented
288C4×#123C2214yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic, complemented
291C4×#121C2212yescomplemented
292#2296C2212yescomplemented
293#2296C2212yescomplemented
294#2285C2211yescharacteristic, complemented
295#2285C2211yescharacteristic, complemented
296#2280C2212yescomplemented
297#2280C2212yescomplemented
298#2280C2212yescomplemented
299#2280C2212yescomplemented
300#2274C2212yescomplemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C23×D4C2312yes—
307C23×D4C2311yescharacteristic
308C23×D4C2311yescharacteristic
309C24×C4C2312yes—
310C24×C4C2312yes—
311#559—28no—
312#556—28no—
313#555—28no—
314#554—28no—
315#554—28no—
316#554—28no—
317#553—216no—
318#553—28no—
319#553—216no—
320#553—28no—
321#552—216no—
322#552—216no—
323#551—216no—
324#551—216no—
325#551—232no—
326#547—28no—
327#546—216no—
328#546—28no—
329#546—28no—
330#546—216no—
331D42—28no—
332#533—28no—
333#532—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×#127C2311yescharacteristic
339#529—216no—
340#529—216no—
341#529—28no—
342#529—232no—
343#529—28no—
344C2×#126C2314yes—
345C2×#126C2312yes—
346C2×#126C2314yes—
347C2×#126C2312yes—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2314yes—
351C2×#125C2312yes—
352C2×#125C2311yescharacteristic
353C2×#125C2312yes—
354C2×#125C2311yescharacteristic
355C2×#125C2312yes—
356C2×#125C2314yes—
357C2×#124C2311yescharacteristic
358C2×#124C2312yes—
359C2×#124C2311yescharacteristic
360C2×#124C2312yes—
361C2×#124C2314yes—
362C2×#124C2312yes—
363C2×#124C2312yes—
364#525—216no—
365#525—216no—
366#525—216no—
367C2×#123C2312yes—
368C2×#123C2312yes—
369C2×#123C2314yes—
370C2×#123C2312yes—
371C2×#123C2312yes—
372C2×#123C2312yes—
373C2×#123C2314yes—
374C2×#123C2312yes—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2311yescharacteristic
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2311yescharacteristic
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2311yescharacteristic
420C2×#121C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#120C2314yes—
424C2×#120C2312yes—
425C2×#120C2312yes—
426C2×#120C2312yes—
427C2×#120C2312yes—
428C2×#120C2314yes—
429C4×#41—28no—
430C4×#41—216no—
431C4×#41—28no—
432C4×#41—28no—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×D4—216no—
443C2×C4×D4—28no—
444C2×C4×D4D4116yescomplemented
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2314yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2314yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×#117—216no—
483C2×#117C2312yes—
484C2×#117C2311yescharacteristic
485C2×#117C2311yescharacteristic
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2311yescharacteristic
490C2×#117C2311yescharacteristic
491C2×#117C2314yes—
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2314yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2314yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2311yescharacteristic
510C22×C22⋊C4C2312yes—
511C22×C22⋊C4C2314yes—
512C22×C22⋊C4C2312yes—
513C22×C22⋊C4C2312yes—
514C22×C22⋊C4C2312yes—
515C22×C42C2312yes—
516C22×C42C2314yes—
517C22×C42C2312yes—
518C22×C42C2311yescharacteristic
519C22×C42C2311yescharacteristic
520C22×C42C2311yescharacteristic
521#400C2314yes—
522#400C2314yes—
523#400C2314yes—
524#400C2314yes—
525#399C2314yes—
526#399C2314yes—
527#399C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2312yes—
533#398C2312yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2312yes—
549#397C2314yes—
550#397C2314yes—
551#397C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2312yes—
560#397C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2312yes—
564#396C2312yes—
565#396C2312yes—
566#396C2312yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#395C2314yes—
572#395C2314yes—
573#395C2314yes—
574#394C2312yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2312yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2312yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2312yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2312yes—
604#394C2312yes—
605#393C2314yes—
606#393C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2312yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2314yes—
616#392C2312yes—
617#391C2314yes—
618#391C2312yes—
619#391C2312yes—
620#391C2314yes—
621#391C2312yes—
622#391C2312yes—
623#391C2312yes—
624#391C2312yes—
625#391C2312yes—
626#391C2312yes—
627#391C2312yes—
628#391C2311yescharacteristic
629#391C2311yescharacteristic
630#391C2312yes—
631#390C2314yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2314yes—
638#390C2314yes—
639#390C2314yes—
640#390C2314yes—
641#390C2314yes—
642#390C2312yes—
643#390C2314yes—
644#390C2312yes—
645#390C2311yescharacteristic
646#390C2314yes—
647#390C2314yes—
648#390C2311yescharacteristic
649#390C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#389C2314yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2311yescharacteristic
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2314yes—
675#389C2314yes—
676#389C2312yes—
677#389C2312yes—
678#389C2311yescharacteristic
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#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2312yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2312yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2312yes—
729#387C2312yes—
730#387C2312yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2312yes—
743#386C2312yes—
744#386C2312yes—
745#386C2314yes—
746#386C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2312yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2312yes—
759#385C2312yes—
760#385C2312yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#384C2312yes—
768#384C2314yes—
769#384C2314yes—
770#384C2311yescharacteristic
771#384C2311yescharacteristic
772#384C2311yescharacteristic
773#384C2311yescharacteristic
774#382C2312yes—
775#382C2314yes—
776#382C2314yes—
777#382C2312yes—
778#382C2312yes—
779#381C2314yes—
780#381C2314yes—
781#381C2314yes—
782#381C2314yes—
783#381C2314yes—
784#381C2314yes—
785#381C2314yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2311yescharacteristic
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2311yescharacteristic
811#380C2311yescharacteristic
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2311yescharacteristic
816#380C2311yescharacteristic
817#379C2314yes—
818#379C2314yes—
819#379C2314yes—
820#379C2314yes—
821#379C2314yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2314yes—
834C4×C4⋊C4C2314yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2314yes—
838C4×C4⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2314yes—
851C25C2412yes—
852C25C2412yes—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—42no—
861C2×#41—42no—
862C2×#41—42no—
863C2×#41—42no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—42no—
867C2×#41—42no—
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×Q8C2412yes—
874C22×D4—28no—
875C22×D4—24no—
876C22×D4—42no—
877C22×D4—42no—
878C22×D4—42no—
879C22×D4—42no—
880C22×D4—44no—
881C22×D4—44no—
882C22×D4C2×D418yes—
883C22×D4C2411yescharacteristic
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C23×C4—28no—
906C23×C4—44no—
907C23×C4—44no—
908C23×C4—44no—
909C23×C4—44no—
910C23×C4C2×D4116yes—
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2411yescharacteristic
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2414yes—
926C23×C4C2414yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2412yes—
936C4⋊Q8—24no—
937C4⋊Q8—24no—
938C4⋊Q8—24no—
939C4⋊Q8—44no—
940#127—24no—
941#126—28no—
942#126—216no—
943#126—216no—
944#126—28no—
945#126—28no—
946#126—216no—
947#126—28no—
948#125—216no—
949#125—28no—
950#125—28no—
951#125—24no—
952#125—24no—
953#125—28no—
954#124—28no—
955#124—24no—
956#124—28no—
957#124—216no—
958#124—28no—
959#124—24no—
960#124—44no—
961#123—28no—
962#123—216no—
963#123—216no—
964#123—28no—
965#123—28no—
966#123—28no—
967#123—28no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—216no—
972#123—216no—
973#123—48no—
974#123—48no—
975#123—48no—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—24no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—24no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—216no—
989C22⋊Q8—44no—
990C22⋊Q8—44no—
991C22⋊Q8—44no—
992C22⋊Q8—42no—
993C22⋊Q8—44no—
994C22⋊Q8—42no—
995C22⋊Q8—44no—
996C22⋊Q8—44no—
997C22⋊Q8—44no—
998#121—28no—
999#121—24no—
1000#121—28no—
1001#121—216no—
1002#121—28no—
1003#121—24no—
1004#121—28no—
1005#121—28no—
1006#121—28no—
1007#121—28no—
1008#121—24no—
1009#121—24no—
1010#121—28no—
1011#121—28no—
1012#121—44no—
1013#121—42no—
1014#121—44no—
1015#121—42no—
1016#121—44no—
1017#120—28no—
1018#120—28no—
1019#120—216no—
1020#120—28no—
1021#120—28no—
1022#120—48no—
1023C4×Q8—28no—
1024C4×Q8—24no—
1025C4×Q8—24no—
1026C4×Q8—24no—
1027C4×Q8—28no—
1028C4×Q8—24no—
1029C4×Q8—24no—
1030C4×Q8—24no—
1031C4×Q8—28no—
1032C4×D4—24no—
1033C4×D4—24no—
1034C4×D4—28no—
1035C4×D4—24no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—24no—
1046C4×D4—216no—
1047C4×D4—24no—
1048C4×D4—28no—
1049C4×D4—24no—
1050C4×D4—28no—
1051C4×D4—216no—
1052C4×D4—24no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—216no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—24no—
1061C4×D4—44no—
1062C4×D4—44no—
1063C4×D4C2×D418yes—
1064C4×D4C2×D418yes—
1065C4×D4C2×D4116yes—
1066C4×D4C2×D418yes—
1067C4×D4C2×D4116yes—
1068C4×D4C2×D418yes—
1069#117—24no—
1070#117—28no—
1071#117—216no—
1072#117—216no—
1073#117—28no—
1074#117—28no—
1075#117—24no—
1076#117—28no—
1077#117—28no—
1078#117—24no—
1079#117—28no—
1080#117—216no—
1081#117—28no—
1082#117—24no—
1083#117—24no—
1084#117—28no—
1085#117—44no—
1086#117—44no—
1087#117—44no—
1088#117—44no—
1089#117—44no—
1090#117—44no—
1091C2×C4⋊C4—28no—
1092C2×C4⋊C4—28no—
1093C2×C4⋊C4—28no—
1094C2×C4⋊C4—24no—
1095C2×C4⋊C4C2×D418yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2412yes—
1162C2×C22⋊C4—216no—
1163C2×C22⋊C4—28no—
1164C2×C22⋊C4—28no—
1165C2×C22⋊C4—28no—
1166C2×C22⋊C4C2×D4116yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C42—216no—
1240C2×C42—28no—
1241C2×C42—24no—
1242C2×C42—28no—
1243C2×C42—24no—
1244C2×C42C2×D418yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2414yes—
1247C2×C42C2412yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250C2×C42C2414yes—
1251C2×C42C2412yes—
1252C2×C42C2411yescharacteristic
1253C2×C42C2414yes—
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2412yes—
1259C2×C42C2411yescharacteristic
1260C2×C42C2412yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2414yes—
1263C2×C42C2414yes—
1264C2×C42C2414yes—
1265C2×C42C2414yes—
1266C2×C42C2414yes—
1267C2×C42C2411yescharacteristic
1268C2×C42C2411yescharacteristic
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315C24—24no—
1316C24—24no—
1317C24—42no—
1318C24—42no—
1319C24—42no—
1320C24—42no—
1321C24—42no—
1322C24—42no—
1323C24—42no—
1324C24—42no—
1325C24—42no—
1326C24—42no—
1327C24—42no—
1328C24C22×D418yes—
1329C24C2512yes—
1330C24C2512yes—
1331C24C2511yescharacteristic
1332C24C2511yescharacteristic
1333C24C2512yes—
1334C24C2512yes—
1335C24C2511yescharacteristic
1336#41—416no—
1337#41—416no—
1338#41—416no—
1339#41—432no—
1340#41—816no—
1341C2×Q8—22no—
1342C2×Q8—22no—
1343C2×Q8—22no—
1344C2×Q8—24no—
1345C2×Q8—24no—
1346C2×Q8—24no—
1347C2×Q8—22no—
1348C2×Q8—22no—
1349C2×Q8—24no—
1350C2×Q8—22no—
1351C2×Q8—22no—
1352C2×Q8—24no—
1353C2×Q8—22no—
1354C2×Q8—41no—
1355C2×Q8—42no—
1356C2×Q8—42no—
1357C2×Q8—42no—
1358C2×Q8—42no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—28no—
1368C2×D4—24no—
1369C2×D4—22no—
1370C2×D4—24no—
1371C2×D4—28no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—22no—
1384C2×D4—22no—
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—24no—
1388C2×D4—22no—
1389C2×D4—416no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—41no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—41no—
1404C2×D4—42no—
1405C2×D4—41no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—44no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—44no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—432no—
1424C2×D4—416no—
1425C2×D4C22×D414yes—
1426C2×D4C22×D414yes—
1427C2×D4C22×D418yes—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—24no—
1437C22×C4—28no—
1438C22×C4—24no—
1439C22×C4—22no—
1440C22×C4—28no—
1441C22×C4—24no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—24no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—24no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—22no—
1456C22×C4—24no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—24no—
1463C22×C4—22no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—432no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—42no—
1476C22×C4—41no—
1477C22×C4—41no—
1478C22×C4—41no—
1479C22×C4—41no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—42no—
1496C22×C4—816no—
1497C22×C4C22×D418yes—
1498C22×C4C22×D414yes—
1499C22×C4C22×D414yes—
1500C22×C4C22×D418yes—
1501C22×C4C22×D418yes—
1502C22×C4C22×D414yes—
1503C22×C4C22×D418yes—
1504C22×C4C22×D418yes—
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2514yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2511yescharacteristic
1510C22×C4C2512yes—
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2514yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2512yes—
1516C22×C4C2512yes—
1517C22×C4C2511yescharacteristic
1518C22×C4C2512yes—
1519C22×C4C2514yes—
1520C22×C4C2514yes—
1521C22×C4C2512yes—
1522C22×C4C2511yescharacteristic
1523C22×C4C2512yes—
1524C22×C4C2511yescharacteristic
1525C22×C4C2512yes—
1526C22×C4C2511yescharacteristic
1527C22×C4C2512yes—
1528C22×C4C2511yescharacteristic
1529C22×C4C2511yescharacteristic
1530C22×C4C2511yescharacteristic
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C4⋊C4—22no—
1534C4⋊C4—22no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—28no—
1539C4⋊C4—28no—
1540C4⋊C4—24no—
1541C4⋊C4—22no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—22no—
1546C4⋊C4—22no—
1547C4⋊C4—24no—
1548C4⋊C4—22no—
1549C4⋊C4—24no—
1550C4⋊C4—22no—
1551C4⋊C4—24no—
1552C4⋊C4—28no—
1553C4⋊C4—28no—
1554C4⋊C4—24no—
1555C4⋊C4—22no—
1556C4⋊C4—22no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—28no—
1563C4⋊C4—28no—
1564C4⋊C4—24no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—22no—
1570C4⋊C4—22no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—28no—
1575C4⋊C4—42no—
1576C4⋊C4—42no—
1577C4⋊C4—42no—
1578C4⋊C4—42no—
1579C4⋊C4—42no—
1580C4⋊C4—42no—
1581C4⋊C4—42no—
1582C4⋊C4—42no—
1583C4⋊C4—42no—
1584C4⋊C4—44no—
1585C4⋊C4—42no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—42no—
1590C4⋊C4—44no—
1591C4⋊C4—44no—
1592C4⋊C4—44no—
1593C4⋊C4—44no—
1594C4⋊C4—44no—
1595C4⋊C4—44no—
1596C4⋊C4C22×D414yes—
1597C4⋊C4C22×D414yes—
1598C4⋊C4C22×D418yes—
1599C22⋊C4—24no—
1600C22⋊C4—22no—
1601C22⋊C4—28no—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—22no—
1609C22⋊C4—24no—
1610C22⋊C4—28no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—28no—
1614C22⋊C4—28no—
1615C22⋊C4—24no—
1616C22⋊C4—22no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—22no—
1623C22⋊C4—22no—
1624C22⋊C4—24no—
1625C22⋊C4—22no—
1626C22⋊C4—24no—
1627C22⋊C4—28no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—28no—
1632C22⋊C4—24no—
1633C22⋊C4—42no—
1634C22⋊C4—42no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—42no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—42no—
1647C22⋊C4—44no—
1648C22⋊C4—42no—
1649C22⋊C4—44no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—44no—
1653C22⋊C4—42no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—42no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4C22×D418yes—
1668C22⋊C4C22×D418yes—
1669C22⋊C4C22×D418yes—
1670C22⋊C4C22×D418yes—
1671C42—24no—
1672C42—22no—
1673C42—22no—
1674C42—28no—
1675C42—24no—
1676C42—22no—
1677C42—28no—
1678C42—24no—
1679C42—22no—
1680C42—28no—
1681C42—24no—
1682C42—24no—
1683C42—22no—
1684C42—24no—
1685C42—22no—
1686C42—24no—
1687C42—24no—
1688C42—44no—
1689C42—44no—
1690C42—44no—
1691C42—44no—
1692C42—44no—
1693C42C22×D414yes—
1694C42C22×D414yes—
1695C42C22×D414yes—
1696C42C22×D414yes—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—21no—
1707C23—22no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—22no—
1715C23—22no—
1716C23—21no—
1717C23—21no—
1718C23—21no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—21no—
1724C23—22no—
1725C23—21no—
1726C23—21no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—22no—
1731C23—21no—
1732C23—22no—
1733C23—21no—
1734C23—21no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—21no—
1741C23—22no—
1742C23—48no—
1743C23—48no—
1744C23—48no—
1745C23—48no—
1746C23—48no—
1747C23—84no—
1748C23—84no—
1749C23—84no—
1750C23—84no—
1751C23—84no—
1752C23—84no—
1753C23—84no—
1754C23—84no—
1755C23—84no—
1756C23C23×D412yes—
1757C23C23×D414yes—
1758C23C23×D414yes—
1759C23#58512yes—
1760C23C2611yescharacteristic
1761Q8—44no—
1762Q8—44no—
1763Q8—48no—
1764Q8—44no—
1765Q8—84no—
1766Q8—84no—
1767D4—28no—
1768D4—28no—
1769D4—28no—
1770D4—48no—
1771D4—48no—
1772D4—44no—
1773D4—48no—
1774D4—48no—
1775D4—48no—
1776D4—48no—
1777D4—44no—
1778D4—416no—
1779D4—48no—
1780D4—44no—
1781D4—44no—
1782D4—84no—
1783D4—84no—
1784D4—88no—
1785D4—84no—
1786D4—84no—
1787D4—84no—
1788D4—164no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—28no—
1804C2×C4—28no—
1805C2×C4—216no—
1806C2×C4—216no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—24no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—24no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—24no—
1830C2×C4—24no—
1831C2×C4—24no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—24no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—22no—
1838C2×C4—24no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—24no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—21no—
1850C2×C4—24no—
1851C2×C4—22no—
1852C2×C4—24no—
1853C2×C4—21no—
1854C2×C4—22no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—21no—
1862C2×C4—22no—
1863C2×C4—21no—
1864C2×C4—48no—
1865C2×C4—48no—
1866C2×C4—48no—
1867C2×C4—44no—
1868C2×C4—44no—
1869C2×C4—48no—
1870C2×C4—44no—
1871C2×C4—48no—
1872C2×C4—416no—
1873C2×C4—48no—
1874C2×C4—44no—
1875C2×C4—44no—
1876C2×C4—48no—
1877C2×C4—44no—
1878C2×C4—48no—
1879C2×C4—44no—
1880C2×C4—84no—
1881C2×C4—84no—
1882C2×C4—84no—
1883C2×C4—88no—
1884C2×C4—84no—
1885C2×C4C23×D412yes—
1886C2×C4C23×D414yes—
1887C2×C4C23×D412yes—
1888C2×C4C23×D412yes—
1889C2×C4C23×D412yes—
1890C2×C4C23×D414yes—
1891C2×C4C23×D412yes—
1892C2×C4C23×D412yes—
1893C2×C4#58512yes—
1894C2×C4#58512yes—
1895C2×C4#58512yes—
1896C2×C4#58512yes—
1897C2×C4#58512yes—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—24no—
1902C22—24no—
1903C22—22no—
1904C22—22no—
1905C22—24no—
1906C22—24no—
1907C22—22no—
1908C22—24no—
1909C22—24no—
1910C22—42no—
1911C22—41no—
1912C22—42no—
1913C22—42no—
1914C22—41no—
1915C22—42no—
1916C22—41no—
1917C22—42no—
1918C22—42no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—42no—
1924C22—42no—
1925C22—41no—
1926C22—42no—
1927C22—41no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—41no—
1932C22—42no—
1933C22—42no—
1934C22—41no—
1935C22—42no—
1936C22—42no—
1937C22—41no—
1938C22—41no—
1939C22—42no—
1940C22—42no—
1941C22—41no—
1942C22—42no—
1943C22—42no—
1944C22—42no—
1945C22—41no—
1946C22—42no—
1947C22—816no—
1948C22—816no—
1949C22C24×D411yescharacteristic
1950C22C2×#58511yescharacteristic
1951C22C2×#58511yescharacteristic
1952C22C2×#58511yescharacteristic
1953C22C2×#58511yescharacteristic
1954C22C2×#58511yescharacteristic
1955C22C2×#58511yescharacteristic
1956C4—22no—
1957C4—24no—
1958C4—24no—
1959C4—22no—
1960C4—22no—
1961C4—22no—
1962C4—22no—
1963C4—42no—
1964C4—42no—
1965C4—44no—
1966C4—41no—
1967C4—42no—
1968C4—42no—
1969C4—41no—
1970C4—42no—
1971C4—42no—
1972C4—44no—
1973C4—42no—
1974C4—41no—
1975C4—42no—
1976C4—44no—
1977C4—41no—
1978C4—42no—
1979C4—41no—
1980C4—42no—
1981C4—44no—
1982C4#344914yes—
1983C4#348514yes—
1984C2—44no—
1985C2—42no—
1986C2—42no—
1987C2—44no—
1988C2—82no—
1989C2—81no—
1990C2—82no—
1991C2C2×#344911yescharacteristic
1992C2C2×#348511yescharacteristic
1993C2#6281111yescharacteristic
1994C2#6302811yescharacteristic
1995C2#6302911yescharacteristic
1996C2#6303111yescharacteristic
1997C2#6303111yescharacteristic
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×#3481C2semidirect
2. C2×#3475C2semidirect
3. #42673C2semidirect
4. #42474C2semidirect
5. #41415C2semidirect
6. #41414C2semidirect
7. #39881C2semidirect
8. #39880C2semidirect
9. #39871C2semidirect
10. #39870C2semidirect
11. #39471C2semidirect
12. #39470C2semidirect
13. #38921C2semidirect
14. #38920C2semidirect
15. #38049C2semidirect
16. #38048C2semidirect
17. #37847C2semidirect
18. #37846C2semidirect
19. #37633C2semidirect
20. #37445C2semidirect
21. #36437C2semidirect
22. #36436C2semidirect
23. #36411C2semidirect
24. #36405C2semidirect
25. #36161C2semidirect
26. #36160C2semidirect
27. #36015C2semidirect
28. #35773C2semidirect
29. #35297C2semidirect
30. #35189C2semidirect
31. #35157C2semidirect
32. #35031C2semidirect
33. #34976C2semidirect
34. #34809C2semidirect
35. #34186C2semidirect
43. C2×#554C22semidirect
47. C2×#553C22semidirect
48. C2×#552C22semidirect
49. C2×#552C22semidirect
52. C2×#551C22semidirect
53. C2×#547C22semidirect
59. C2×#533C22semidirect
65. C2×#529C22semidirect
68. C2×#525C22semidirect
71. C2×C4×#41C22semidirect
72. C2×C4×#41C22semidirect
76. C22×#117C22semidirect
77. #2857C22semidirect
78. #2857C22semidirect
79. #2857C22semidirect
80. #2857C22semidirect
81. #2855C22semidirect
82. #2854C22semidirect
83. #2853C22semidirect
84. #2853C22semidirect
85. #2851C22semidirect
86. #2850C22semidirect
87. #2848C22semidirect
88. #2847C22semidirect
89. #2814C22semidirect
91. #2812C22semidirect
92. #2724C22semidirect
93. #2718C22semidirect
94. #2718C22semidirect
95. #2710C22semidirect
96. #2706C22semidirect
97. #2706C22semidirect
98. #2703C22semidirect
100. #2701C22semidirect
101. #2701C22semidirect
102. #2700C22semidirect
103. #2699C22semidirect
104. #2698C22semidirect
105. #2698C22semidirect
107. #2689C22semidirect
108. #2687C22semidirect
109. #2685C22semidirect
111. #2681C22semidirect
112. #2680C22semidirect
113. #2680C22semidirect
115. #2678C22semidirect
116. #2663C22semidirect
117. #2661C22semidirect
118. #2638C22semidirect
119. #2637C22semidirect
120. #2635C22semidirect
121. #2630C22semidirect
122. #2629C22semidirect
123. #2629C22semidirect
124. #2625C22semidirect
125. #2625C22semidirect
126. #2624C22semidirect
128. #2622C22semidirect
129. #2622C22semidirect
130. #2621C22semidirect
133. #2616C22semidirect
134. #2615C22semidirect
136. #2609C22semidirect
137. #2609C22semidirect
139. #2602C22semidirect
140. #2602C22semidirect
141. #2602C22semidirect
142. #2601C22semidirect
143. #2600C22semidirect
144. #2600C22semidirect
145. #2584C22semidirect
146. #2582C22semidirect
147. #2582C22semidirect
148. #2581C22semidirect
149. #2567C22semidirect
150. #2565C22semidirect
151. #2563C22semidirect
152. #2562C22semidirect
153. #2560C22semidirect
154. #2558C22semidirect
155. #2556C22semidirect
156. #2554C22semidirect
157. #2552C22semidirect
158. #2550C22semidirect
159. #2547C22semidirect
160. #2546C22semidirect
161. #2545C22semidirect
162. #2542C22semidirect
163. #2540C22semidirect
164. #2538C22semidirect
165. #2538C22semidirect
166. #2538C22semidirect
167. #2538C22semidirect
168. #2537C22semidirect
169. #2537C22semidirect
170. #2536C22semidirect
171. #2519C22semidirect
172. #2519C22semidirect
173. #2512C22semidirect
174. #2506C22semidirect
175. #2500C22semidirect
176. #2500C22semidirect
177. #2499C22semidirect
178. #2499C22semidirect
179. #2492C22semidirect
180. #2490C22semidirect
181. #2489C22semidirect
182. #2489C22semidirect
183. #2487C22semidirect
184. #2487C22semidirect
185. #2486C22semidirect
186. #2486C22semidirect
189. #2485C22semidirect
190. #2485C22semidirect
191. #2485C22semidirect
192. #2485C22semidirect
193. #2485C22semidirect
194. #2485C22semidirect
195. #2485C22semidirect
196. #2485C22semidirect
197. #2485C22semidirect
198. #2485C22semidirect
199. #2484C22semidirect
200. #2483C22semidirect
201. #2482C22semidirect
202. #2480C22semidirect
203. #2478C22semidirect
204. #2478C22semidirect
205. #2476C22semidirect
206. #2474C22semidirect
207. #2474C22semidirect
208. #2472C22semidirect
209. #2470C22semidirect
210. #2468C22semidirect
211. #2468C22semidirect
212. #2466C22semidirect
213. #2464C22semidirect
214. #2461C22semidirect
215. #2461C22semidirect
216. #2459C22semidirect
217. #2457C22semidirect
220. #2447C22semidirect
224. #2432C22semidirect
229. #2420C22semidirect
231. #2415C22semidirect
232. #2415C22semidirect
233. #2415C22semidirect
234. #2415C22semidirect
235. #2415C22semidirect
236. #2415C22semidirect
238. #2414C22semidirect
239. #2414C22semidirect
240. #2414C22semidirect
241. #2414C22semidirect
247. #2407C22semidirect
248. #2407C22semidirect
249. #2407C22semidirect
252. #2395C22semidirect
254. #2392C22semidirect
255. #2367C22semidirect
256. #2365C22semidirect
257. #2363C22semidirect
258. #2362C22semidirect
259. #2362C22semidirect
260. #2360C22semidirect
262. #2357C22semidirect
263. #2357C22semidirect
266. #2354C22semidirect
267. #2354C22semidirect
268. #2354C22semidirect
269. #2354C22semidirect
270. #2354C22semidirect
271. #2352C22semidirect
272. #2324C22semidirect
273. #2323C22semidirect
274. #2323C22semidirect
275. #2323C22semidirect
276. #2322C22semidirect
277. #2321C22semidirect
278. #2317C22semidirect
279. #2317C22semidirect
280. #2312C22semidirect
281. #2311C22semidirect
282. #2311C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×#123C22semidirect
288. C4×#123C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. #2296C22semidirect
293. #2296C22semidirect
294. #2285C22semidirect
295. #2285C22semidirect
296. #2280C22semidirect
297. #2280C22semidirect
298. #2280C22semidirect
299. #2280C22semidirect
300. #2274C22semidirect
444. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34812
C2×#34752
#426732
#424742
#414152
#414142
#398812
#398802
#398712
#398702
#394712
#394702
#389212
#389202
#380492
#380482
#378472
#378462
#376332
#374452
#364372
#364362
#364112
#364052
#361612
#361602
#360152
#357732
#352972
#351892
#351572
#350312
#349762
#348092
#341862