Finite Group Databasebeta

← #7644169

Subgroups — #7644169

Order 512.

7182 conjugacy classes of subgroups.

The subgroup lattice has 1971 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C211yesmaximal, characteristic, complemented
2C2×#3460C211yesmaximal, characteristic, complemented
3#42651C211yesmaximal, characteristic, complemented
4#42650C211yesmaximal, characteristic, complemented
5#42647C211yesmaximal, characteristic, complemented
6#42646C211yesmaximal, characteristic, complemented
7#42437C212yesmaximal, complemented
8#42433C212yesmaximal, complemented
9#42430C211yesmaximal, characteristic, complemented
10#42429C211yesmaximal, characteristic, complemented
11#42426C211yesmaximal, characteristic, complemented
12#42425C211yesmaximal, characteristic, complemented
13#42422C212yesmaximal, complemented
14#42420C212yesmaximal, complemented
15#42387C212yesmaximal, complemented
16#42386C212yesmaximal, complemented
17#41955C212yesmaximal, complemented
18#41954C212yesmaximal, complemented
19#40498C214yesmaximal, complemented
20#40496C214yesmaximal, complemented
21#37454C212yesmaximal, complemented
22#37448C212yesmaximal, complemented
23#37446C212yesmaximal, complemented
24#37445C212yesmaximal, complemented
25#37235C214yesmaximal, complemented
26#37122C214yesmaximal, complemented
27#35571C212yesmaximal, complemented
28#35570C212yesmaximal, complemented
29#35524C212yesmaximal, complemented
30#35523C212yesmaximal, complemented
31#35210C211yesmaximal, characteristic, complemented
32#35190C211yesmaximal, characteristic, complemented
33#34636C211yesmaximal, characteristic, complemented
34#34609C211yesmaximal, characteristic, complemented
35#34190C211yesmaximal, characteristic, complemented
36#3519—216no—
37C2×#555C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#553C2212yes—
40C2×#553C2212yes—
41C2×#550C2211yescharacteristic
42C2×#546C2214yes—
43C2×#546C2212yes—
44C2×D42C2212yes—
45C2×D42C2211yescharacteristic
46#3460—216no—
47C2×#544C2211yescharacteristic, complemented
48C2×#542C2211yescharacteristic
49C2×#542C2212yescomplemented
50C2×#542C2211yescharacteristic, complemented
51C2×#540C2212yes—
52C2×#540C2211yescharacteristic
53C2×#540C2211yescharacteristic, complemented
54C2×#540C2212yescomplemented
55C2×#538C2214yes—
56C2×#538C2212yescomplemented
57C2×#538C2212yescomplemented
58C2×#537C2211yescharacteristic, complemented
59C2×#535C2211yescharacteristic
60C2×#535C2211yescharacteristic
61C2×#532C2211yescharacteristic
62C2×#532C2211yescharacteristic
63C2×#532C2212yescomplemented
64C2×#532C2211yescharacteristic, complemented
65C2×#529C2211yescharacteristic
66C2×#529C2211yescharacteristic
67C2×#529C2212yescomplemented
68C2×#529C2211yescharacteristic, complemented
69C2×#525C2212yes—
70C2×#525C2212yescomplemented
71C2×#525C2212yescomplemented
72C22×#121C2212yes—
73C2×#518C2212yes—
74C2×C4×#41C2211yescharacteristic, complemented
75C2×C4×#41C2211yescharacteristic, complemented
76C22×C4×D4C2211yescharacteristic
77#2852C2214yescomplemented
78#2850C2214yescomplemented
79#2817C2212yescomplemented
80#2816C2214yescomplemented
81#2816C2212yescomplemented
82#2816C2212yescomplemented
83#2815C2214yescomplemented
84#2815C2212yescomplemented
85#2813C2212yescomplemented
86#2813C2212yescomplemented
87#2813C2212yescomplemented
88#2813C2212yescomplemented
89#2812C2214yescomplemented
90#2812C2214yescomplemented
91#2723C2214yescomplemented
92#2721C2214yescomplemented
93#2716C2214yescomplemented
94#2715C2214yescomplemented
95#2714C2214yescomplemented
96#2712C2214yescomplemented
97#2700C2214yescomplemented
98#2698C2214yescomplemented
99#2696C2214yescomplemented
100#2694C2214yescomplemented
101#2691C2214yescomplemented
102#2688C2214yescomplemented
103#2686C2214yescomplemented
104#2685C2214yescomplemented
105#2684C2214yescomplemented
106#2681C2214yescomplemented
107#2680C2214yescomplemented
108#2678C2214yescomplemented
109#2676C2214yescomplemented
110#2676C2214yescomplemented
111#2675C2214yescomplemented
112#2674C2214yescomplemented
113#2673C2214yescomplemented
114#2673C2214yescomplemented
115#2672C2214yescomplemented
116#2671C2214yescomplemented
117#2671C2214yescomplemented
118#2670C2214yescomplemented
119#2669C2214yescomplemented
120#2669C2214yescomplemented
121#2668C2214yescomplemented
122#2668C2214yescomplemented
123#2663C2212yescomplemented
124#2663C2212yescomplemented
125#2661C2212yescomplemented
126#2661C2212yescomplemented
127#2656C2212yescomplemented
128#2656C2212yescomplemented
129#2639C2212yescomplemented
130#2639C2212yescomplemented
131#2638C2214yescomplemented
132#2638C2211yescharacteristic, complemented
133#2638C2212yescomplemented
134#2638C2211yescharacteristic, complemented
135#2637C2212yescomplemented
136#2636C2212yescomplemented
137#2635C2211yescharacteristic
138#2635C2212yes—
139#2635C2211yescharacteristic
140#2635C2214yescomplemented
141#2635C2212yescomplemented
142#2635C2212yescomplemented
143#2635C2212yescomplemented
144#2635C2212yescomplemented
145#2634C2211yescharacteristic, complemented
146#2633C2211yescharacteristic, complemented
147#2632C2212yescomplemented
148#2632C2211yescharacteristic, complemented
149#2631C2212yescomplemented
150#2631C2211yescharacteristic, complemented
151#2630C2212yescomplemented
152#2630C2212yescomplemented
153#2628C2211yescharacteristic, complemented
154#2628C2211yescharacteristic, complemented
155#2625C2212yescomplemented
156#2624C2212yescomplemented
157#2624C2212yescomplemented
158#2623C2212yescomplemented
159#2623C2212yescomplemented
160#2620C2214yescomplemented
161#2619C2214yescomplemented
162#2619C2211yescharacteristic, complemented
163#2619C2211yescharacteristic, complemented
164#2617C2214yescomplemented
165#2617C2214yescomplemented
166#2616C2212yescomplemented
167#2615C2212yescomplemented
168#2615C2212yescomplemented
169#2613C2214yescomplemented
170#2613C2214yescomplemented
171#2613C2212yescomplemented
172#2613C2212yescomplemented
173#2611C2212yescomplemented
174#2610C2212yescomplemented
175#2602C2214yescomplemented
176#2602C2214yescomplemented
177#2602C2214yescomplemented
178#2600C2214yescomplemented
179#2600C2214yescomplemented
180#2598C2212yescomplemented
181#2598C2212yescomplemented
182#2581C2211yescharacteristic, complemented
183#2580C2211yescharacteristic, complemented
184#2568C2211yescharacteristic, complemented
185#2559C2214yescomplemented
186#2557C2214yescomplemented
187#2555C2214yescomplemented
188#2553C2214yescomplemented
189#2552C2212yescomplemented
190#2550C2212yescomplemented
191#2548C2211yescharacteristic, complemented
192#2544C2212yescomplemented
193#2543C2214yescomplemented
194#2543C2214yescomplemented
195#2542C2211yescharacteristic, complemented
196#2541C2211yescharacteristic, complemented
197#2541C2212yescomplemented
198#2541C2212yescomplemented
199#2540C2212yescomplemented
200#2537C2212yescomplemented
201#2536C2211yescharacteristic, complemented
202#2535C2211yescharacteristic, complemented
203#2535C2212yescomplemented
204#2534C2214yescomplemented
205#2534C2214yescomplemented
206#2503C2212yescomplemented
207#2501C2212yescomplemented
208#2500C2214yescomplemented
209#2500C2212yescomplemented
210#2498C2214yescomplemented
211#2498C2212yescomplemented
212#2498C2212yescomplemented
213#2491C2212yescomplemented
214#2490C2212yescomplemented
215#2490C2212yescomplemented
216#2489C2212yescomplemented
217#2485C2214yescomplemented
218#2485C2212yescomplemented
219#2482C2214yescomplemented
220#2480C2214yescomplemented
221#2472C2214yescomplemented
222#2466C2214yescomplemented
223#2464C2214yescomplemented
224#2464C2214yescomplemented
225#2459C2214yescomplemented
226#2456C2214yescomplemented
227#2455C2214yescomplemented
228#2454C2212yescomplemented
229#2452C2212yescomplemented
230#2447C2212yes—
231#2445C2212yes—
232#2441C2212yescomplemented
233#2439C2212yescomplemented
234#2435C2212yes—
235#2435C2212yescomplemented
236#2433C2212yes—
237#2433C2212yescomplemented
238#2431C2214yescomplemented
239#2431C2212yescomplemented
240#2430C2214yescomplemented
241#2430C2212yescomplemented
242#2430C2212yescomplemented
243#2428C2214yescomplemented
244#2428C2212yescomplemented
245#2428C2212yescomplemented
246#2428C2212yescomplemented
247#2428C2212yescomplemented
248#2427C2212yescomplemented
249#2427C2212yescomplemented
250#2424C2214yescomplemented
251#2422C2212yes—
252#2422C2214yescomplemented
253#2420C2212yes—
254#2418C2214yescomplemented
255#2415C2214yescomplemented
256#2415C2212yescomplemented
257#2414C2214yescomplemented
258#2414C2212yescomplemented
259#2410C2214yescomplemented
260#2410C2214yescomplemented
261#2408C2212yes—
262#2408C2212yes—
263#2407C2214yescomplemented
264#2407C2214yescomplemented
265#2407C2212yescomplemented
266#2404C2214yescomplemented
267#2398C2212yescomplemented
268#2397C2212yescomplemented
269#2396C2211yescharacteristic, complemented
270#2396C2211yescharacteristic, complemented
271#2395C2212yescomplemented
272#2392C2211yescharacteristic, complemented
273#2392C2211yescharacteristic, complemented
274#2388C2212yescomplemented
275#2388C2212yescomplemented
276#2388C2212yescomplemented
277#2357C2211yescharacteristic
278#2357C2211yescharacteristic
279#2353C2212yescomplemented
280#2353C2212yescomplemented
281#2349C2211yescharacteristic, complemented
282#2349C2211yescharacteristic, complemented
283#2344C2212yescomplemented
284#2342C2214yescomplemented
285D4×C22⋊C4C2212yes—
286#2328C2212yescomplemented
287#2326C2212yescomplemented
288#2324C2212yescomplemented
289#2323C2212yescomplemented
290#2319C2212yes—
291#2318C2214yescomplemented
292C4×#121C2212yescomplemented
293C4×#121C2212yescomplemented
294#2290C2212yescomplemented
295#2290C2212yescomplemented
296#2283C2211yescharacteristic, complemented
297#2283C2211yescharacteristic, complemented
298#2280C2212yescomplemented
299C2×#381C2212yescomplemented
300#2275C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C23×D4C2312yes—
308C23×D4C2314yes—
309C23×D4C2312yes—
310C23×D4C2311yescharacteristic
311C24×C4C2312yes—
312#555—28no—
313#554—28no—
314#553—216no—
315#553—216no—
316#550—28no—
317#546—216no—
318#546—232no—
319D42—216no—
320D42—28no—
321#544—28no—
322#542—28no—
323#542—216no—
324#542—28no—
325#540—28no—
326#540—216no—
327#540—216no—
328#540—28no—
329#538—232no—
330#538—216no—
331#538—216no—
332#537—28no—
333#535—28no—
334#535—28no—
335#532—28no—
336#532—216no—
337#532—28no—
338#532—28no—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×#127C2311yescharacteristic
344C2×#127C2312yes—
345C2×#127C2311yescharacteristic
346C2×#127C2311yescharacteristic
347C2×#127C2312yes—
348C2×#127C2312yes—
349C2×#127C2314yes—
350#529—28no—
351#529—216no—
352#529—28no—
353#529—28no—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2314yes—
360C2×#125C2311yescharacteristic
361C2×#125C2311yescharacteristic
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#124C2312yes—
366C2×#124C2311yescharacteristic
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2311yescharacteristic
370C2×#124C2312yes—
371C2×#124C2314yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2314yes—
377#525—216no—
378#525—216no—
379#525—216no—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×#121—216no—
408C2×#121C2314yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2311yescharacteristic
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2311yescharacteristic
419C2×#121C2311yescharacteristic
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2314yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2314yes—
442C2×#121C2314yes—
443C2×#121C2314yes—
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#121C2314yes—
448C2×#121C2314yes—
449C2×#120C2312yes—
450C2×#120C2312yes—
451C2×#120C2314yes—
452C2×#120C2312yes—
453C2×#120C2312yes—
454C2×#120C2314yes—
455C2×#120C2314yes—
456C2×#120C2314yes—
457C2×#120C2314yes—
458C2×#120C2314yes—
459C2×#120C2314yes—
460#518—216no—
461C4×#41—28no—
462C4×#41—28no—
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×D4D4116yescomplemented
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2314yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2314yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2314yes—
497C2×C4×D4C2314yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2312yes—
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2311yescharacteristic
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2311yescharacteristic
507C2×#117C2311yescharacteristic
508C2×#117C2311yescharacteristic
509C2×#117C2312yes—
510C2×#117C2311yescharacteristic
511C2×#117C2312yes—
512C2×#117C2312yes—
513C2×#117C2312yes—
514C2×#117C2314yes—
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2311yescharacteristic
517C22×C22⋊C4C2314yes—
518C22×C22⋊C4C2314yes—
519C22×C22⋊C4C2314yes—
520C22×C22⋊C4C2312yes—
521C22×C42C2312yes—
522C22×C42C2311yescharacteristic
523C22×C42C2311yescharacteristic
524C22×C42C2311yescharacteristic
525#400C2312yes—
526#400C2312yes—
527#400C2314yes—
528#400C2312yes—
529#400C2312yes—
530#400C2311yescharacteristic
531#400C2312yes—
532#400C2311yescharacteristic
533#400C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2314yes—
537#399C2314yes—
538#399C2314yes—
539#399C2312yes—
540#399C2312yes—
541#399C2311yescharacteristic
542#399C2312yes—
543#399C2314yes—
544#399C2312yes—
545#399C2311yescharacteristic
546#398C2311yescharacteristic
547#398C2312yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2311yescharacteristic
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2312yes—
561#397C2312yes—
562#397C2314yes—
563#397C2314yes—
564#397C2311yescharacteristic
565#397C2314yes—
566#397C2312yes—
567#397C2312yes—
568#397C2311yescharacteristic
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#395C2311yescharacteristic
583#395C2312yes—
584#395C2314yes—
585#395C2311yescharacteristic
586#395C2312yes—
587#395C2312yes—
588#395C2312yes—
589#394C2312yes—
590#394C2312yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2312yes—
600#394C2314yes—
601#394C2314yes—
602#394C2312yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2312yes—
609#394C2312yes—
610#394C2311yescharacteristic
611#394C2312yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2311yescharacteristic
629#394C2312yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#393C2311yescharacteristic
635#393C2312yes—
636#393C2314yes—
637#393C2314yes—
638#393C2314yes—
639#393C2311yescharacteristic
640#393C2314yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#392C2312yes—
645#392C2312yes—
646#392C2314yes—
647#392C2314yes—
648#392C2314yes—
649#392C2314yes—
650#392C2314yes—
651#392C2312yes—
652#392C2312yes—
653#392C2311yescharacteristic
654#392C2314yes—
655#392C2312yes—
656#392C2314yes—
657#392C2314yes—
658#392C2314yes—
659#392C2314yes—
660#392C2314yes—
661#392C2314yes—
662#392C2314yes—
663#392C2314yes—
664#392C2314yes—
665#392C2314yes—
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#392C2312yes—
670#392C2311yescharacteristic
671#392C2312yes—
672#392C2314yes—
673#392C2314yes—
674#392C2314yes—
675#392C2314yes—
676#392C2314yes—
677#391C2312yes—
678#391C2314yes—
679#391C2312yes—
680#391C2314yes—
681#391C2314yes—
682#390C2312yes—
683#390C2312yes—
684#390C2312yes—
685#390C2314yes—
686#390C2312yes—
687#390C2312yes—
688#390C2312yes—
689#390C2314yes—
690#390C2314yes—
691#390C2314yes—
692#390C2312yes—
693#390C2312yes—
694#390C2314yes—
695#390C2314yes—
696#390C2314yes—
697#390C2314yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2314yes—
702#389C2312yes—
703#389C2314yes—
704#389C2314yes—
705#389C2312yes—
706#389C2312yes—
707#389C2314yes—
708#389C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2312yes—
731#388C2312yes—
732#388C2312yes—
733#388C2312yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2312yes—
740#387C2314yes—
741#387C2314yes—
742#387C2312yes—
743#387C2312yes—
744#387C2312yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2312yes—
767#386C2312yes—
768#386C2312yes—
769#386C2312yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2312yes—
782#385C2314yes—
783#385C2314yes—
784#385C2312yes—
785#385C2314yes—
786#385C2314yes—
787#385C2312yes—
788#385C2312yes—
789#384C2312yes—
790#384C2314yes—
791#383C2312yes—
792#383C2311yescharacteristic
793#383C2311yescharacteristic
794#382C2312yes—
795#382C2312yes—
796#382C2311yescharacteristic
797#382C2311yescharacteristic
798#382C2314yes—
799#381C2312yes—
800#381C2314yes—
801#381C2312yes—
802#381C2314yes—
803#381C2314yes—
804#381C2314yes—
805#381C2311yescharacteristic
806#381C2312yes—
807#381C2311yescharacteristic
808#380C2314yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2314yes—
818#380C2314yes—
819#380C2314yes—
820#380C2314yes—
821#379C2314yes—
822#379C2314yes—
823#379C2314yes—
824#379C2314yes—
825#379C2314yes—
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846#376C2312yes—
847#376C2312yes—
848C2×#95C2314yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C25C2414yes—
852C25C2412yes—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—42no—
860C2×#41—42no—
861C2×#41—42no—
862C2×#41—42no—
863C2×#41—84no—
864C2×#41—84no—
865C2×#41—84no—
866C2×#41—84no—
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2412yes—
873C22×D4—216no—
874C22×D4—28no—
875C22×D4—28no—
876C22×D4—42no—
877C22×D4—42no—
878C22×D4—44no—
879C22×D4—44no—
880C22×D4—84no—
881C22×D4—84no—
882C22×D4—84no—
883C22×D4C2×D418yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C22×D4C2411yescharacteristic
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2414yes—
911C22×D4C2412yes—
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2414yes—
917C22×D4C2414yes—
918C22×D4C2414yes—
919C22×D4C2412yes—
920C23×C4—84no—
921C23×C4C2×D4116yes—
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2414yes—
927C23×C4C2414yes—
928C23×C4C2414yes—
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2412yes—
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2412yes—
936C23×C4C2414yes—
937C23×C4C2414yes—
938C23×C4C2412yes—
939C23×C4C2411yescharacteristic
940C23×C4C2412yes—
941C23×C4C2412yes—
942C23×C4C2412yes—
943C23×C4C2412yes—
944C23×C4C2411yescharacteristic
945C4⋊Q8—24no—
946C4⋊Q8—24no—
947C4⋊Q8—28no—
948C4⋊Q8—24no—
949#127—24no—
950#127—24no—
951#127—28no—
952#127—28no—
953#127—24no—
954#127—44no—
955#127—84no—
956#126—216no—
957#126—28no—
958#126—28no—
959#126—28no—
960#126—28no—
961#126—28no—
962#125—24no—
963#125—24no—
964#125—28no—
965#125—28no—
966#125—24no—
967#124—24no—
968#124—24no—
969#124—28no—
970#124—28no—
971#124—28no—
972#124—28no—
973#124—28no—
974#124—216no—
975#124—24no—
976#124—28no—
977#124—44no—
978#124—84no—
979#123—216no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—216no—
986#123—28no—
987#123—28no—
988#123—28no—
989#123—28no—
990#123—216no—
991#123—84no—
992#123—84no—
993C22⋊Q8—24no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—24no—
1000C22⋊Q8—24no—
1001C22⋊Q8—28no—
1002C22⋊Q8—216no—
1003C22⋊Q8—44no—
1004C22⋊Q8—84no—
1005C22⋊Q8—84no—
1006#121—24no—
1007#121—24no—
1008#121—28no—
1009#121—24no—
1010#121—24no—
1011#121—28no—
1012#121—216no—
1013#121—28no—
1014#121—24no—
1015#121—28no—
1016#121—216no—
1017#121—216no—
1018#121—28no—
1019#121—28no—
1020#121—28no—
1021#121—28no—
1022#121—28no—
1023#121—28no—
1024#121—28no—
1025#121—28no—
1026#121—24no—
1027#121—24no—
1028#121—28no—
1029#121—28no—
1030#121—28no—
1031#121—28no—
1032#121—28no—
1033#121—28no—
1034#121—216no—
1035#121—216no—
1036#121—44no—
1037#121—44no—
1038#121—44no—
1039#121—84no—
1040#121—84no—
1041#121—84no—
1042#121—84no—
1043#121—84no—
1044#121—84no—
1045#121—84no—
1046#121—84no—
1047#120—28no—
1048#120—28no—
1049#120—28no—
1050#120—28no—
1051#120—216no—
1052#120—216no—
1053#120—216no—
1054#120—84no—
1055#120—84no—
1056#120—84no—
1057#120—84no—
1058C4×Q8—24no—
1059C4×Q8—24no—
1060C4×Q8—24no—
1061C4×Q8—24no—
1062C4×Q8—24no—
1063C4×D4—28no—
1064C4×D4—24no—
1065C4×D4—28no—
1066C4×D4—24no—
1067C4×D4—28no—
1068C4×D4—24no—
1069C4×D4—24no—
1070C4×D4—216no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—216no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—216no—
1079C4×D4—24no—
1080C4×D4—24no—
1081C4×D4—24no—
1082C4×D4—24no—
1083C4×D4—28no—
1084C4×D4—24no—
1085C4×D4—28no—
1086C4×D4—44no—
1087C4×D4—44no—
1088C4×D4—44no—
1089C4×D4—44no—
1090C4×D4—84no—
1091C4×D4—84no—
1092C4×D4C2×D418yes—
1093C4×D4C2×D4116yes—
1094C4×D4C2×D418yes—
1095C4×D4C2×D418yes—
1096C4×D4C2×D4116yes—
1097C4×D4C2×D418yes—
1098#117—24no—
1099#117—24no—
1100#117—28no—
1101#117—28no—
1102#117—28no—
1103#117—28no—
1104#117—28no—
1105#117—24no—
1106#117—24no—
1107#117—28no—
1108#117—84no—
1109C2×C4⋊C4—28no—
1110C2×C4⋊C4C2×D418yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2411yescharacteristic
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2412yes—
1161C2×C22⋊C4—216no—
1162C2×C22⋊C4—216no—
1163C2×C22⋊C4—84no—
1164C2×C22⋊C4C2×D4116yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C42—24no—
1246C2×C42—24no—
1247C2×C42—28no—
1248C2×C42C2×D418yes—
1249C2×C42C2411yescharacteristic
1250C2×C42C2412yes—
1251C2×C42C2411yescharacteristic
1252C2×C42C2414yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2411yescharacteristic
1260C2×C42C2411yescharacteristic
1261C2×C42C2412yes—
1262C2×C42C2414yes—
1263C2×C42C2414yes—
1264C2×C42C2414yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268C2×C42C2411yescharacteristic
1269#95C2412yes—
1270#95C2411yescharacteristic
1271#95C2411yescharacteristic
1272#95C2412yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2411yescharacteristic
1284#95C2411yescharacteristic
1285#95C2414yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315C24—28no—
1316C24—44no—
1317C24—42no—
1318C24—42no—
1319C24—44no—
1320C24—44no—
1321C24—44no—
1322C24—44no—
1323C24—44no—
1324C24—44no—
1325C24—44no—
1326C24C22×D418yes—
1327C24C2512yes—
1328C24C2514yes—
1329C24C2511yescharacteristic
1330C24C2511yescharacteristic
1331C24C2512yes—
1332C24C2512yes—
1333C24C2511yescharacteristic
1334C24C2512yes—
1335#41—416no—
1336#41—416no—
1337#41—816no—
1338#41—816no—
1339#41—816no—
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—41no—
1350C2×Q8—41no—
1351C2×Q8—42no—
1352C2×Q8—44no—
1353C2×Q8—44no—
1354C2×Q8—44no—
1355C2×D4—28no—
1356C2×D4—24no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—28no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—28no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—28no—
1372C2×D4—24no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—28no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—22no—
1384C2×D4—22no—
1385C2×D4—22no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—22no—
1389C2×D4—416no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—42no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—42no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—42no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—432no—
1449C2×D4—816no—
1450C2×D4—832no—
1451C2×D4C22×D414yes—
1452C2×D4C22×D414yes—
1453C2×D4C22×D418yes—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—28no—
1457C22×C4—24no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—22no—
1465C22×C4—22no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—22no—
1469C22×C4—22no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—24no—
1473C22×C4—28no—
1474C22×C4—28no—
1475C22×C4—44no—
1476C22×C4—42no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—44no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—42no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—816no—
1503C22×C4C22×D414yes—
1504C22×C4C22×D414yes—
1505C22×C4C22×D414yes—
1506C22×C4C22×D418yes—
1507C22×C4C22×D418yes—
1508C22×C4C22×D418yes—
1509C22×C4C22×D418yes—
1510C22×C4C22×D418yes—
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2514yes—
1514C22×C4C2512yes—
1515C22×C4C2514yes—
1516C22×C4C2511yescharacteristic
1517C22×C4C2511yescharacteristic
1518C22×C4C2512yes—
1519C22×C4C2512yes—
1520C22×C4C2511yescharacteristic
1521C22×C4C2511yescharacteristic
1522C22×C4C2512yes—
1523C22×C4C2512yes—
1524C22×C4C2514yes—
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2511yescharacteristic
1528C22×C4C2511yescharacteristic
1529C22×C4C2512yes—
1530C22×C4C2511yescharacteristic
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2511yescharacteristic
1535C22×C4C2512yes—
1536C22×C4C2512yes—
1537C22×C4C2511yescharacteristic
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—28no—
1541C4⋊C4—22no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—22no—
1546C4⋊C4—22no—
1547C4⋊C4—22no—
1548C4⋊C4—22no—
1549C4⋊C4—24no—
1550C4⋊C4—22no—
1551C4⋊C4—22no—
1552C4⋊C4—24no—
1553C4⋊C4—22no—
1554C4⋊C4—22no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—28no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—44no—
1569C4⋊C4—44no—
1570C4⋊C4—42no—
1571C4⋊C4—42no—
1572C4⋊C4—44no—
1573C4⋊C4—44no—
1574C4⋊C4—42no—
1575C4⋊C4—42no—
1576C4⋊C4—42no—
1577C4⋊C4—44no—
1578C4⋊C4—44no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—42no—
1582C4⋊C4—42no—
1583C4⋊C4—44no—
1584C4⋊C4—42no—
1585C4⋊C4C22×D414yes—
1586C4⋊C4C22×D414yes—
1587C4⋊C4C22×D418yes—
1588C22⋊C4—28no—
1589C22⋊C4—22no—
1590C22⋊C4—22no—
1591C22⋊C4—24no—
1592C22⋊C4—28no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—28no—
1605C22⋊C4—28no—
1606C22⋊C4—28no—
1607C22⋊C4—24no—
1608C22⋊C4—22no—
1609C22⋊C4—22no—
1610C22⋊C4—24no—
1611C22⋊C4—22no—
1612C22⋊C4—22no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—28no—
1616C22⋊C4—28no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—42no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—44no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—44no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—42no—
1648C22⋊C4—44no—
1649C22⋊C4—42no—
1650C22⋊C4—42no—
1651C22⋊C4—44no—
1652C22⋊C4—42no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—42no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4C22×D418yes—
1665C22⋊C4C22×D418yes—
1666C22⋊C4C22×D418yes—
1667C22⋊C4C22×D418yes—
1668C42—22no—
1669C42—22no—
1670C42—24no—
1671C42—24no—
1672C42—22no—
1673C42—22no—
1674C42—22no—
1675C42—22no—
1676C42—24no—
1677C42—28no—
1678C42—24no—
1679C42—24no—
1680C42—24no—
1681C42—44no—
1682C42—44no—
1683C42—44no—
1684C42C22×D414yes—
1685C42C22×D414yes—
1686C42C22×D414yes—
1687C42C22×D414yes—
1688C23—22no—
1689C23—22no—
1690C23—21no—
1691C23—21no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—24no—
1696C23—24no—
1697C23—24no—
1698C23—24no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—21no—
1703C23—21no—
1704C23—24no—
1705C23—22no—
1706C23—24no—
1707C23—21no—
1708C23—21no—
1709C23—22no—
1710C23—22no—
1711C23—24no—
1712C23—21no—
1713C23—21no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—24no—
1718C23—24no—
1719C23—22no—
1720C23—24no—
1721C23—24no—
1722C23—22no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—24no—
1727C23—24no—
1728C23—22no—
1729C23—48no—
1730C23—48no—
1731C23—48no—
1732C23—416no—
1733C23—88no—
1734C23—88no—
1735C23—88no—
1736C23—88no—
1737C23—164no—
1738C23—164no—
1739C23—164no—
1740C23—164no—
1741C23C23×D414yes—
1742C23C23×D414yes—
1743C23C23×D412yes—
1744C23C2611yescharacteristic
1745Q8—44no—
1746Q8—44no—
1747Q8—44no—
1748Q8—84no—
1749Q8—84no—
1750Q8—84no—
1751D4—28no—
1752D4—28no—
1753D4—48no—
1754D4—44no—
1755D4—48no—
1756D4—44no—
1757D4—416no—
1758D4—48no—
1759D4—416no—
1760D4—44no—
1761D4—44no—
1762D4—48no—
1763D4—48no—
1764D4—44no—
1765D4—88no—
1766D4—84no—
1767D4—84no—
1768D4—84no—
1769D4—84no—
1770D4—84no—
1771D4—84no—
1772D4—84no—
1773D4—88no—
1774D4—88no—
1775D4—84no—
1776D4—84no—
1777D4—84no—
1778D4—84no—
1779D4—88no—
1780D4—84no—
1781D4—88no—
1782D4—88no—
1783D4—84no—
1784D4—164no—
1785D4—164no—
1786D4—164no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—24no—
1791C2×C4—24no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—28no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—24no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—24no—
1817C2×C4—24no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—24no—
1826C2×C4—24no—
1827C2×C4—24no—
1828C2×C4—24no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—24no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—24no—
1845C2×C4—24no—
1846C2×C4—22no—
1847C2×C4—44no—
1848C2×C4—48no—
1849C2×C4—48no—
1850C2×C4—48no—
1851C2×C4—48no—
1852C2×C4—48no—
1853C2×C4—44no—
1854C2×C4—48no—
1855C2×C4—44no—
1856C2×C4—48no—
1857C2×C4—44no—
1858C2×C4—48no—
1859C2×C4—44no—
1860C2×C4—44no—
1861C2×C4—82no—
1862C2×C4—82no—
1863C2×C4—84no—
1864C2×C4—88no—
1865C2×C4—88no—
1866C2×C4—88no—
1867C2×C4—164no—
1868C2×C4—164no—
1869C2×C4C23×D412yes—
1870C2×C4C23×D412yes—
1871C2×C4C23×D412yes—
1872C2×C4C23×D412yes—
1873C2×C4C23×D414yes—
1874C2×C4C23×D412yes—
1875C2×C4C23×D414yes—
1876C2×C4C23×D412yes—
1877C2×C4#58512yes—
1878C2×C4#58512yes—
1879C22—22no—
1880C22—24no—
1881C22—24no—
1882C22—22no—
1883C22—24no—
1884C22—24no—
1885C22—22no—
1886C22—24no—
1887C22—24no—
1888C22—44no—
1889C22—42no—
1890C22—44no—
1891C22—44no—
1892C22—42no—
1893C22—44no—
1894C22—41no—
1895C22—41no—
1896C22—42no—
1897C22—44no—
1898C22—42no—
1899C22—44no—
1900C22—41no—
1901C22—41no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—42no—
1906C22—44no—
1907C22—42no—
1908C22—42no—
1909C22—44no—
1910C22—44no—
1911C22—42no—
1912C22—44no—
1913C22—42no—
1914C22—42no—
1915C22—44no—
1916C22—44no—
1917C22—42no—
1918C22—42no—
1919C22—41no—
1920C22—41no—
1921C22—42no—
1922C22—44no—
1923C22—816no—
1924C22—1616no—
1925C22C24×D411yescharacteristic
1926C22C2×#58511yescharacteristic
1927C22C2×#58511yescharacteristic
1928C22H(7,𝔽2)12yes—
1929C22H(7,𝔽2)12yes—
1930C4—22no—
1931C4—22no—
1932C4—24no—
1933C4—24no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—41no—
1938C4—42no—
1939C4—41no—
1940C4—42no—
1941C4—42no—
1942C4—44no—
1943C4—41no—
1944C4—41no—
1945C4—42no—
1946C4—42no—
1947C4—42no—
1948C4—44no—
1949C4—42no—
1950C4—44no—
1951C4—42no—
1952C4—42no—
1953C4—41no—
1954C4—41no—
1955C4—42no—
1956C4#344914yes—
1957C2—44no—
1958C2—42no—
1959C2—44no—
1960C2—81no—
1961C2—81no—
1962C2—82no—
1963C2—84no—
1964C2—82no—
1965C2C2×#344911yescharacteristic
1966C2#6284211yescharacteristic
1967C2#6285211yescharacteristic
1968C2#6288312yes—
1969C2#6288512yes—
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×#3519C2semidirect
2. C2×#3460C2semidirect
3. #42651C2semidirect
4. #42650C2semidirect
5. #42647C2semidirect
6. #42646C2semidirect
7. #42437C2semidirect
8. #42433C2semidirect
9. #42430C2semidirect
10. #42429C2semidirect
11. #42426C2semidirect
12. #42425C2semidirect
13. #42422C2semidirect
14. #42420C2semidirect
15. #42387C2semidirect
16. #42386C2semidirect
17. #41955C2semidirect
18. #41954C2semidirect
19. #40498C2semidirect
20. #40496C2semidirect
21. #37454C2semidirect
22. #37448C2semidirect
23. #37446C2semidirect
24. #37445C2semidirect
25. #37235C2semidirect
26. #37122C2semidirect
27. #35571C2semidirect
28. #35570C2semidirect
29. #35524C2semidirect
30. #35523C2semidirect
31. #35210C2semidirect
32. #35190C2semidirect
33. #34636C2semidirect
34. #34609C2semidirect
35. #34190C2semidirect
47. C2×#544C22semidirect
49. C2×#542C22semidirect
50. C2×#542C22semidirect
53. C2×#540C22semidirect
54. C2×#540C22semidirect
56. C2×#538C22semidirect
57. C2×#538C22semidirect
58. C2×#537C22semidirect
63. C2×#532C22semidirect
64. C2×#532C22semidirect
67. C2×#529C22semidirect
68. C2×#529C22semidirect
70. C2×#525C22semidirect
71. C2×#525C22semidirect
74. C2×C4×#41C22semidirect
75. C2×C4×#41C22semidirect
77. #2852C22semidirect
78. #2850C22semidirect
79. #2817C22semidirect
80. #2816C22semidirect
81. #2816C22semidirect
82. #2816C22semidirect
83. #2815C22semidirect
84. #2815C22semidirect
85. #2813C22semidirect
86. #2813C22semidirect
87. #2813C22semidirect
88. #2813C22semidirect
89. #2812C22semidirect
90. #2812C22semidirect
91. #2723C22semidirect
92. #2721C22semidirect
93. #2716C22semidirect
94. #2715C22semidirect
95. #2714C22semidirect
96. #2712C22semidirect
97. #2700C22semidirect
98. #2698C22semidirect
99. #2696C22semidirect
100. #2694C22semidirect
101. #2691C22semidirect
102. #2688C22semidirect
103. #2686C22semidirect
104. #2685C22semidirect
105. #2684C22semidirect
106. #2681C22semidirect
107. #2680C22semidirect
108. #2678C22semidirect
109. #2676C22semidirect
110. #2676C22semidirect
111. #2675C22semidirect
112. #2674C22semidirect
113. #2673C22semidirect
114. #2673C22semidirect
115. #2672C22semidirect
116. #2671C22semidirect
117. #2671C22semidirect
118. #2670C22semidirect
119. #2669C22semidirect
120. #2669C22semidirect
121. #2668C22semidirect
122. #2668C22semidirect
123. #2663C22semidirect
124. #2663C22semidirect
125. #2661C22semidirect
126. #2661C22semidirect
127. #2656C22semidirect
128. #2656C22semidirect
129. #2639C22semidirect
130. #2639C22semidirect
131. #2638C22semidirect
132. #2638C22semidirect
133. #2638C22semidirect
134. #2638C22semidirect
135. #2637C22semidirect
136. #2636C22semidirect
140. #2635C22semidirect
141. #2635C22semidirect
142. #2635C22semidirect
143. #2635C22semidirect
144. #2635C22semidirect
145. #2634C22semidirect
146. #2633C22semidirect
147. #2632C22semidirect
148. #2632C22semidirect
149. #2631C22semidirect
150. #2631C22semidirect
151. #2630C22semidirect
152. #2630C22semidirect
153. #2628C22semidirect
154. #2628C22semidirect
155. #2625C22semidirect
156. #2624C22semidirect
157. #2624C22semidirect
158. #2623C22semidirect
159. #2623C22semidirect
160. #2620C22semidirect
161. #2619C22semidirect
162. #2619C22semidirect
163. #2619C22semidirect
164. #2617C22semidirect
165. #2617C22semidirect
166. #2616C22semidirect
167. #2615C22semidirect
168. #2615C22semidirect
169. #2613C22semidirect
170. #2613C22semidirect
171. #2613C22semidirect
172. #2613C22semidirect
173. #2611C22semidirect
174. #2610C22semidirect
175. #2602C22semidirect
176. #2602C22semidirect
177. #2602C22semidirect
178. #2600C22semidirect
179. #2600C22semidirect
180. #2598C22semidirect
181. #2598C22semidirect
182. #2581C22semidirect
183. #2580C22semidirect
184. #2568C22semidirect
185. #2559C22semidirect
186. #2557C22semidirect
187. #2555C22semidirect
188. #2553C22semidirect
189. #2552C22semidirect
190. #2550C22semidirect
191. #2548C22semidirect
192. #2544C22semidirect
193. #2543C22semidirect
194. #2543C22semidirect
195. #2542C22semidirect
196. #2541C22semidirect
197. #2541C22semidirect
198. #2541C22semidirect
199. #2540C22semidirect
200. #2537C22semidirect
201. #2536C22semidirect
202. #2535C22semidirect
203. #2535C22semidirect
204. #2534C22semidirect
205. #2534C22semidirect
206. #2503C22semidirect
207. #2501C22semidirect
208. #2500C22semidirect
209. #2500C22semidirect
210. #2498C22semidirect
211. #2498C22semidirect
212. #2498C22semidirect
213. #2491C22semidirect
214. #2490C22semidirect
215. #2490C22semidirect
216. #2489C22semidirect
217. #2485C22semidirect
218. #2485C22semidirect
219. #2482C22semidirect
220. #2480C22semidirect
221. #2472C22semidirect
222. #2466C22semidirect
223. #2464C22semidirect
224. #2464C22semidirect
225. #2459C22semidirect
226. #2456C22semidirect
227. #2455C22semidirect
228. #2454C22semidirect
229. #2452C22semidirect
232. #2441C22semidirect
233. #2439C22semidirect
235. #2435C22semidirect
237. #2433C22semidirect
238. #2431C22semidirect
239. #2431C22semidirect
240. #2430C22semidirect
241. #2430C22semidirect
242. #2430C22semidirect
243. #2428C22semidirect
244. #2428C22semidirect
245. #2428C22semidirect
246. #2428C22semidirect
247. #2428C22semidirect
248. #2427C22semidirect
249. #2427C22semidirect
250. #2424C22semidirect
252. #2422C22semidirect
254. #2418C22semidirect
255. #2415C22semidirect
256. #2415C22semidirect
257. #2414C22semidirect
258. #2414C22semidirect
259. #2410C22semidirect
260. #2410C22semidirect
263. #2407C22semidirect
264. #2407C22semidirect
265. #2407C22semidirect
266. #2404C22semidirect
267. #2398C22semidirect
268. #2397C22semidirect
269. #2396C22semidirect
270. #2396C22semidirect
271. #2395C22semidirect
272. #2392C22semidirect
273. #2392C22semidirect
274. #2388C22semidirect
275. #2388C22semidirect
276. #2388C22semidirect
279. #2353C22semidirect
280. #2353C22semidirect
281. #2349C22semidirect
282. #2349C22semidirect
283. #2344C22semidirect
284. #2342C22semidirect
286. #2328C22semidirect
287. #2326C22semidirect
288. #2324C22semidirect
289. #2323C22semidirect
291. #2318C22semidirect
292. C4×#121C22semidirect
293. C4×#121C22semidirect
294. #2290C22semidirect
295. #2290C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
298. #2280C22semidirect
299. C2×#381C22semidirect
300. #2275C22semidirect
468. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
C2×#34602
#426512
#426502
#426472
#426462
#424372
#424332
#424302
#424292
#424262
#424252
#424222
#424202
#423872
#423862
#419552
#419542
#404982
#404962
#374542
#374482
#374462
#374452
#372352
#371222
#355712
#355702
#355242
#355232
#352102
#351902
#346362
#346092
#341902