Finite Group Databasebeta

← #7672145

Subgroups — #7672145

Order 512.

7224 conjugacy classes of subgroups.

The subgroup lattice has 1983 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3518C211yesmaximal, characteristic, complemented
2C2×#3444C211yesmaximal, characteristic, complemented
3#59188C214yesmaximal, complemented
4#59171C214yesmaximal, complemented
5#59115C212yesmaximal, complemented
6#59114C212yesmaximal, complemented
7#59018C212yesmaximal, complemented
8#59017C212yesmaximal, complemented
9#39727C211yesmaximal, characteristic, complemented
10#39597C211yesmaximal, characteristic, complemented
11#39469C211yesmaximal, characteristic, complemented
12#39343C211yesmaximal, characteristic, complemented
13#37844C212yesmaximal, complemented
14#37827C214yesmaximal, complemented
15#37815C214yesmaximal, complemented
16#37659C212yesmaximal, complemented
17#36625C211yesmaximal, characteristic, complemented
18#36504C211yesmaximal, characteristic, complemented
19#36456C211yesmaximal, characteristic, complemented
20#36411C211yesmaximal, characteristic, complemented
21#36405C212yesmaximal, complemented
22#36374C212yesmaximal, complemented
23#36274C211yesmaximal, characteristic, complemented
24#36142C212yesmaximal, complemented
25#36141C212yesmaximal, complemented
26#36135C212yesmaximal, complemented
27#36132C212yesmaximal, complemented
28#35663C212yesmaximal, complemented
29#35568C212yesmaximal, complemented
30#35258C212yesmaximal, complemented
31#35201C211yesmaximal, characteristic, complemented
32#35189C211yesmaximal, characteristic, complemented
33#34268C212yesmaximal, complemented
34#34242C211yesmaximal, characteristic, complemented
35C4×#525C211yesmaximal, characteristic, complemented
36#3518—216no—
37C2×Q82C2211yescharacteristic, complemented
38C2×#556C2212yes—
39C2×#556C2212yes—
40C2×#556C2214yescomplemented
41C2×#556C2211yescharacteristic, complemented
42C2×#555C2212yes—
43C2×#555C2211yescharacteristic, complemented
44C2×D4×Q8C2211yescharacteristic, complemented
45C2×#548C2212yes—
46C2×#542C2214yes—
47C2×#542C2212yescomplemented
48C2×#536C2212yes—
49#3444—216no—
50C2×#533C2211yescharacteristic
51C2×#533C2211yescharacteristic
52C2×#533C2211yescharacteristic
53C2×#533C2211yescharacteristic
54C2×#533C2212yescomplemented
55C2×#532C2211yescharacteristic
56C2×#532C2211yescharacteristic
57C2×#532C2211yescharacteristic
58C2×#529C2212yes—
59C2×#529C2211yescharacteristic
60C2×#529C2211yescharacteristic
61C2×#529C2212yes—
62C2×#529C2212yes—
63C2×#529C2211yescharacteristic
64C2×#529C2212yes—
65C2×#529C2211yescharacteristic
66C2×#529C2212yescomplemented
67C2×#525C2211yescharacteristic
68C2×#525C2212yes—
69C2×#525C2211yescharacteristic
70C2×#525C2211yescharacteristic
71C2×#525C2212yes—
72C2×#519C2212yescomplemented
73C2×C4×#41C2212yes—
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2212yes—
78C23×C42C2211yescharacteristic
79#2861C2212yescomplemented
80#2859C2212yescomplemented
81#2857C2211yescharacteristic
82#2857C2211yescharacteristic
83#2857C2211yescharacteristic
84#2857C2211yescharacteristic
85#2857C2212yescomplemented
86#2855C2212yes—
87#2855C2212yes—
88#2855C2212yescomplemented
89#2854C2212yescomplemented
90#2851C2212yes—
91#2851C2212yes—
92#2851C2212yescomplemented
93#2850C2212yescomplemented
94#2850C2212yescomplemented
95#2848C2212yes—
96#2848C2212yes—
97#2725C2214yescomplemented
98#2713C2214yescomplemented
99#2712C2214yescomplemented
100#2702C2214yes—
101#2698C2214yes—
102#2686C2214yes—
103#2685C2214yes—
104#2684C2214yes—
105#2682C2214yes—
106#2678C2214yes—
107#2677C2214yes—
108#2676C2214yes—
109#2674C2214yes—
110#2674C2214yescomplemented
111#2672C2214yes—
112#2670C2214yes—
113#2663C2214yes—
114#2630C2214yes—
115#2628C2212yes—
116#2620C2212yes—
117#2616C2212yes—
118#2615C2212yes—
119#2604C2214yescomplemented
120#2601C2214yescomplemented
121#2592C2212yescomplemented
122#2582C2212yescomplemented
123#2582C2211yescharacteristic, complemented
124#2581C2212yescomplemented
125#2568C2211yescharacteristic, complemented
126#2567C2211yescharacteristic, complemented
127#2563C2212yes—
128#2563C2211yescharacteristic, complemented
129#2560C2214yescomplemented
130#2559C2214yes—
131#2557C2214yes—
132#2554C2214yes—
133#2553C2214yes—
134#2553C2214yescomplemented
135#2551C2212yescomplemented
136#2551C2212yescomplemented
137#2546C2212yescomplemented
138#2542C2211yescharacteristic, complemented
139#2540C2212yes—
140#2538C2212yes—
141#2538C2211yescharacteristic, complemented
142#2538C2211yescharacteristic, complemented
143#2537C2211yescharacteristic, complemented
144#2536C2212yes—
145#2536C2212yes—
146#2535C2212yes—
147#2519C2214yescomplemented
148#2500C2212yes—
149#2499C2212yes—
150#2492C2212yes—
151#2491C2212yes—
152#2491C2214yescomplemented
153#2485C2212yes—
154#2485C2212yes—
155#2485C2212yescomplemented
156#2479C2214yescomplemented
157#2478C2214yes—
158#2478C2214yescomplemented
159#2478C2214yescomplemented
160#2477C2214yescomplemented
161#2476C2214yes—
162#2474C2214yes—
163#2474C2214yescomplemented
164#2474C2214yescomplemented
165#2470C2214yes—
166#2469C2214yescomplemented
167#2469C2214yescomplemented
168#2468C2214yes—
169#2468C2214yescomplemented
170#2467C2214yes—
171#2467C2214yes—
172#2465C2214yes—
173#2465C2214yes—
174#2465C2214yescomplemented
175#2465C2214yescomplemented
176#2464C2214yes—
177#2463C2214yes—
178#2462C2214yescomplemented
179#2461C2214yes—
180#2461C2214yes—
181#2461C2214yescomplemented
182#2459C2214yes—
183#2459C2214yes—
184#2458C2214yes—
185#2458C2214yes—
186#2457C2214yescomplemented
187#2456C2214yes—
188#2455C2214yes—
189#2455C2214yes—
190#2452C2214yes—
191#2452C2214yes—
192#2452C2214yes—
193#2452C2212yescomplemented
194#2451C2212yescomplemented
195#2450C2214yes—
196#2447C2214yes—
197#2446C2212yescomplemented
198#2445C2212yescomplemented
199#2444C2214yes—
200#2439C2212yes—
201#2439C2212yes—
202#2439C2214yescomplemented
203#2439C2212yescomplemented
204#2439C2212yescomplemented
205#2438C2214yescomplemented
206#2432C2214yes—
207#2430C2214yes—
208#2429C2212yescomplemented
209#2428C2212yescomplemented
210#2423C2212yes—
211#2423C2212yescomplemented
212#2422C2212yes—
213#2422C2212yescomplemented
214#2417C2212yes—
215#2416C2212yescomplemented
216#2415C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2415C2212yes—
220#2415C2212yescomplemented
221#2414C2212yes—
222#2414C2212yes—
223#2414C2212yes—
224#2409C2212yes—
225#2409C2212yescomplemented
226#2407C2212yes—
227#2407C2212yes—
228#2407C2212yes—
229#2373C2214yescomplemented
230#2367C2214yes—
231#2367C2214yes—
232#2365C2214yescomplemented
233#2365C2214yescomplemented
234#2365C2214yescomplemented
235#2364C2214yescomplemented
236#2363C2212yes—
237#2363C2212yescomplemented
238#2362C2212yes—
239#2362C2214yescomplemented
240#2362C2212yescomplemented
241#2359C2214yes—
242#2359C2214yes—
243#2359C2214yescomplemented
244#2359C2214yescomplemented
245#2359C2214yescomplemented
246#2355C2211yescharacteristic, complemented
247#2354C2212yes—
248#2354C2212yes—
249#2354C2212yes—
250#2354C2211yescharacteristic, complemented
251#2352C2212yes—
252#2351C2212yescomplemented
253Q8×C4⋊C4C2211yescharacteristic, complemented
254#2349C2212yescomplemented
255D4×C4⋊C4C2211yescharacteristic, complemented
256#2341C2212yes—
257#2339C2212yes—
258#2335C2214yes—
259#2324C2212yescomplemented
260#2323C2212yes—
261#2323C2212yes—
262#2323C2212yescomplemented
263#2323C2212yescomplemented
264#2323C2212yescomplemented
265#2314C2212yescomplemented
266#2311C2212yes—
267C4×#125C2212yescomplemented
268C4×#124C2212yescomplemented
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×#123C2212yes—
280C4×#123C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#120C2212yes—
286C4×#120C2212yes—
287#2297C2211yescharacteristic
288#2296C2212yes—
289#2296C2211yescharacteristic
290#2296C2212yescomplemented
291C2×#391C2212yescomplemented
292#2290C2212yes—
293#2290C2212yes—
294#2285C2211yescharacteristic
295#2280C2212yes—
296#2280C2211yescharacteristic
297#2274C2212yescomplemented
298C42×D4C2212yes—
299C42×D4C2212yes—
300C4×#117C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C23×Q8C2312yes—
307C24×C4C2311yescharacteristic
308C24×C4C2311yescharacteristic
309C24×C4C2311yescharacteristic
310Q82—28no—
311#556—232no—
312#556—216no—
313#556—28no—
314#556—216no—
315#555—216no—
316#555—28no—
317D4×Q8—28no—
318#548—216no—
319#542—232no—
320#542—216no—
321#536—216no—
322#533—28no—
323#533—216no—
324#533—28no—
325#533—28no—
326#533—28no—
327#532—28no—
328#532—28no—
329#532—28no—
330C2×C4⋊Q8C2312yes—
331C2×C4⋊Q8C2311yescharacteristic
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2314yes—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2314yes—
341C2×#127C2311yescharacteristic
342#529—216no—
343#529—216no—
344#529—28no—
345#529—28no—
346#529—216no—
347#529—216no—
348#529—216no—
349#529—28no—
350#529D4116yescomplemented
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2312yes—
359C2×#125C2312yes—
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2311yescharacteristic
364C2×#124C2312yes—
365C2×#124C2311yescharacteristic
366C2×#124C2314yes—
367C2×#124C2314yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2314yes—
372C2×#124C2314yes—
373C2×#124C2311yescharacteristic
374#525—216no—
375#525—28no—
376#525—28no—
377#525—28no—
378#525—216no—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2312yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2311yescharacteristic
416C2×#121C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2311yescharacteristic
420C2×#121C2311yescharacteristic
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2314yes—
431C2×#121C2311yescharacteristic
432C2×#120C2312yes—
433C2×#120C2312yes—
434C2×#120C2312yes—
435#519—216no—
436C4×#41—28no—
437C4×#41—28no—
438C4×#41—216no—
439C4×#41—216no—
440C4×#41—28no—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2314yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2314yes—
457C2×C4×Q8C2314yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2314yes—
504C2×#117C2314yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2311yescharacteristic
511C2×#117C2312yes—
512C2×#117C2311yescharacteristic
513C2×#117C2312yes—
514C2×#117C2312yes—
515C22×C4⋊C4C2312yes—
516C22×C42—28no—
517C22×C42C2312yes—
518C22×C42C2312yes—
519C22×C42C2311yescharacteristic
520C22×C42C2311yescharacteristic
521C22×C42C2312yes—
522C22×C42C2311yescharacteristic
523C22×C42C2311yescharacteristic
524C22×C42C2311yescharacteristic
525C22×C42C2311yescharacteristic
526C22×C42C2311yescharacteristic
527C22×C42C2311yescharacteristic
528C22×C42C2311yescharacteristic
529C22×C42C2311yescharacteristic
530C22×C42C2311yescharacteristic
531C22×C42C2311yescharacteristic
532#400C2314yes—
533#400C2314yes—
534#400C2314yes—
535#399C2314yes—
536#399C2314yes—
537#399C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#395C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#393C2314yes—
583#393C2314yes—
584#393C2314yes—
585#393C2314yes—
586#393C2314yes—
587#393C2314yes—
588#393C2314yes—
589#393C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#391C2314yes—
597#391C2314yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2311yescharacteristic
604#391C2312yes—
605#391C2312yes—
606#391C2314yes—
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2314yes—
611#391C2312yes—
612#391C2314yes—
613#391C2314yes—
614#391C2311yescharacteristic
615#390C2314yes—
616#390C2314yes—
617#390C2312yes—
618#390C2314yes—
619#390C2312yes—
620#390C2314yes—
621#390C2314yes—
622#390C2311yescharacteristic
623#390C2311yescharacteristic
624#390C2312yes—
625#390C2314yes—
626#390C2312yes—
627#390C2314yes—
628#390C2314yes—
629#390C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2314yes—
636#389C2314yes—
637#389C2314yes—
638#389C2314yes—
639#389C2314yes—
640#389C2312yes—
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2314yes—
645#389C2314yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2311yescharacteristic
655#389C2314yes—
656#389C2314yes—
657#389C2314yes—
658#389C2314yes—
659#389C2314yes—
660#389C2311yescharacteristic
661#389C2311yescharacteristic
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2312yes—
719#387C2314yes—
720#387C2314yes—
721#387C2312yes—
722#387C2312yes—
723#387C2312yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2312yes—
741#386C2312yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2312yes—
760#385C2312yes—
761#385C2312yes—
762#385C2312yes—
763#385C2312yes—
764#384C2312yes—
765#384C2312yes—
766#384C2311yescharacteristic
767#384C2311yescharacteristic
768#384C2312yes—
769#382C2312yes—
770#382C2314yes—
771#382C2312yes—
772#382C2312yes—
773#382C2312yes—
774#381C2314yes—
775#381C2314yes—
776#381C2312yes—
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2314yes—
798#380C2314yes—
799#380C2311yescharacteristic
800#380C2311yescharacteristic
801#379C2314yes—
802#379C2312yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849#376C2312yes—
850C2×#95C2314yes—
851C2×#95C2314yes—
852C43C2312yes—
853C25C2411yescharacteristic
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—24no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—28no—
861C2×#41—24no—
862C2×#41—24no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—42no—
866C2×#41—42no—
867C2×#41—42no—
868C2×#41—44no—
869C22×Q8—28no—
870C22×Q8—28no—
871C22×Q8—44no—
872C22×Q8C2412yes—
873C22×Q8C2411yescharacteristic
874C22×Q8C2414yes—
875C22×Q8C2412yes—
876C22×Q8C2412yes—
877C22×Q8C2411yescharacteristic
878C22×Q8C2411yescharacteristic
879C22×Q8C2412yes—
880C22×Q8C2414yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2412yes—
897C23×C4—24no—
898C23×C4—24no—
899C23×C4—24no—
900C23×C4—24no—
901C23×C4—24no—
902C23×C4—42no—
903C23×C4—42no—
904C23×C4—42no—
905C23×C4—42no—
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2414yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2412yes—
933C23×C4C2414yes—
934C23×C4C2411yescharacteristic
935C4⋊Q8—24no—
936C4⋊Q8—24no—
937C4⋊Q8—24no—
938C4⋊Q8—28no—
939C4⋊Q8—28no—
940C4⋊Q8—216no—
941C4⋊Q8—216no—
942C4⋊Q8—24no—
943C4⋊Q8—24no—
944C4⋊Q8—28no—
945C4⋊Q8—48no—
946#127—24no—
947#126—28no—
948#126—216no—
949#126—216no—
950#126—28no—
951#126—216no—
952#126—216no—
953#126—28no—
954#126C2×D4116yes—
955#125—28no—
956#125—28no—
957#125—24no—
958#125—28no—
959#125C2×D418yes—
960#124—216no—
961#124—28no—
962#124—28no—
963#124—216no—
964#124—216no—
965#124—216no—
966#124—216no—
967#124—24no—
968#124—28no—
969#124C2×D418yes—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—216no—
975#123—28no—
976#123—28no—
977#123—216no—
978#123—216no—
979#123—48no—
980#123C2×D4116yes—
981C22⋊Q8—24no—
982C22⋊Q8—28no—
983C22⋊Q8—24no—
984C22⋊Q8—28no—
985C22⋊Q8—24no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—24no—
994C22⋊Q8—216no—
995C22⋊Q8—216no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—216no—
999C22⋊Q8—48no—
1000C22⋊Q8—44no—
1001C22⋊Q8—44no—
1002C22⋊Q8—44no—
1003C22⋊Q8—44no—
1004C22⋊Q8—44no—
1005C22⋊Q8C2×D418yes—
1006C22⋊Q8#4118yescomplemented
1007#121—24no—
1008#121—28no—
1009#121—28no—
1010#121—216no—
1011#121—24no—
1012#121—28no—
1013#121—24no—
1014#121—24no—
1015#121—24no—
1016#121—28no—
1017#121—28no—
1018#121—28no—
1019#121—48no—
1020#121—44no—
1021#121—44no—
1022#121C2×D418yes—
1023#120—28no—
1024#120—28no—
1025#120—28no—
1026C4×Q8—24no—
1027C4×Q8—28no—
1028C4×Q8—28no—
1029C4×Q8—28no—
1030C4×Q8—28no—
1031C4×Q8—24no—
1032C4×Q8—216no—
1033C4×Q8—216no—
1034C4×Q8—216no—
1035C4×Q8—24no—
1036C4×Q8—28no—
1037C4×Q8—24no—
1038C4×Q8—24no—
1039C4×Q8—28no—
1040C4×Q8—28no—
1041C4×Q8—28no—
1042C4×Q8—28no—
1043C4×Q8—44no—
1044C4×Q8C2×D418yes—
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—24no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—216no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—24no—
1070C4×D4—24no—
1071C4×D4—24no—
1072C4×D4—44no—
1073C4×D4—44no—
1074C4×D4—44no—
1075C4×D4—44no—
1076C4×D4C2×D4116yes—
1077C4×D4C2×D418yes—
1078#117—24no—
1079#117—28no—
1080#117—28no—
1081#117—24no—
1082#117—24no—
1083#117—28no—
1084#117—28no—
1085#117—28no—
1086#117—28no—
1087#117—24no—
1088#117—28no—
1089#117—28no—
1090#117—28no—
1091#117—28no—
1092#117—216no—
1093#117—216no—
1094#117—28no—
1095#117—28no—
1096#117—28no—
1097#117—42no—
1098#117—44no—
1099#117C2×D4116yes—
1100C2×C4⋊C4—44no—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2411yescharacteristic
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C42—28no—
1225C2×C42—24no—
1226C2×C42—24no—
1227C2×C42—24no—
1228C2×C42—28no—
1229C2×C42—24no—
1230C2×C42—24no—
1231C2×C42—28no—
1232C2×C42—24no—
1233C2×C42—24no—
1234C2×C42—24no—
1235C2×C42—24no—
1236C2×C42—24no—
1237C2×C42—24no—
1238C2×C42C2×D418yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2414yes—
1248C2×C42C2414yes—
1249C2×C42C2414yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2414yes—
1253C2×C42C2414yes—
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2412yes—
1261C2×C42C2412yes—
1262C2×C42C2411yescharacteristic
1263C2×C42C2411yescharacteristic
1264C2×C42C2411yescharacteristic
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2412yes—
1268C2×C42C2414yes—
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2414yes—
1272C2×C42C2414yes—
1273C2×C42C2411yescharacteristic
1274C2×C42C2412yes—
1275C2×C42C2411yescharacteristic
1276C2×C42C2411yescharacteristic
1277C2×C42C2411yescharacteristic
1278#95C2412yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324C24—22no—
1325C24—22no—
1326C24—22no—
1327C24—41no—
1328C24—41no—
1329C24—41no—
1330C24—41no—
1331C24C2512yes—
1332C24C2512yes—
1333C24C2511yescharacteristic
1334C24C2512yes—
1335C24C2511yescharacteristic
1336C24C2511yescharacteristic
1337#41—432no—
1338#41—416no—
1339#41—416no—
1340#41—416no—
1341#41—432no—
1342C2×Q8—22no—
1343C2×Q8—28no—
1344C2×Q8—24no—
1345C2×Q8—24no—
1346C2×Q8—24no—
1347C2×Q8—22no—
1348C2×Q8—24no—
1349C2×Q8—28no—
1350C2×Q8—24no—
1351C2×Q8—28no—
1352C2×Q8—24no—
1353C2×Q8—22no—
1354C2×Q8—22no—
1355C2×Q8—22no—
1356C2×Q8—22no—
1357C2×Q8—24no—
1358C2×Q8—22no—
1359C2×Q8—24no—
1360C2×Q8—44no—
1361C2×Q8—42no—
1362C2×Q8—42no—
1363C2×Q8—42no—
1364C2×Q8—42no—
1365C2×Q8—44no—
1366C2×Q8—44no—
1367C2×Q8—432no—
1368C2×Q8C22×D414yes—
1369C2×Q8C2×#4114yes—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—28no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—22no—
1390C2×D4—24no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—24no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4C22×D414yes—
1417C2×D4C22×D418yes—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—28no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—22no—
1454C22×C4—24no—
1455C22×C4—22no—
1456C22×C4—24no—
1457C22×C4—22no—
1458C22×C4—28no—
1459C22×C4—24no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—24no—
1464C22×C4—24no—
1465C22×C4—22no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—41no—
1477C22×C4—41no—
1478C22×C4—41no—
1479C22×C4—41no—
1480C22×C4—41no—
1481C22×C4—41no—
1482C22×C4—41no—
1483C22×C4—41no—
1484C22×C4—41no—
1485C22×C4—41no—
1486C22×C4—41no—
1487C22×C4—41no—
1488C22×C4—44no—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—416no—
1495C22×C4—416no—
1496C22×C4—42no—
1497C22×C4—42no—
1498C22×C4—44no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—416no—
1502C22×C4C22×D414yes—
1503C22×C4C22×D414yes—
1504C22×C4C22×D418yes—
1505C22×C4C22×D414yes—
1506C22×C4C2×#4114yes—
1507C22×C42−1+414yes—
1508C22×C4C2512yes—
1509C22×C4C2512yes—
1510C22×C4C2514yes—
1511C22×C4C2511yescharacteristic
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2514yes—
1515C22×C4C2512yes—
1516C22×C4C2511yescharacteristic
1517C22×C4C2514yes—
1518C22×C4C2514yes—
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2512yes—
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2511yescharacteristic
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2511yescharacteristic
1529C22×C4C2512yes—
1530C22×C4C2512yes—
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C4⋊C4—24no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
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—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—28no—
1558C4⋊C4—24no—
1559C4⋊C4—28no—
1560C4⋊C4—28no—
1561C4⋊C4—28no—
1562C4⋊C4—28no—
1563C4⋊C4—24no—
1564C4⋊C4—28no—
1565C4⋊C4—22no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—28no—
1569C4⋊C4—28no—
1570C4⋊C4—28no—
1571C4⋊C4—24no—
1572C4⋊C4—22no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—22no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—28no—
1580C4⋊C4—28no—
1581C4⋊C4—44no—
1582C4⋊C4—42no—
1583C4⋊C4—44no—
1584C4⋊C4—42no—
1585C4⋊C4—42no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4—44no—
1592C4⋊C4—44no—
1593C4⋊C4C22×D414yes—
1594C4⋊C4C22×D414yes—
1595C4⋊C4C22×D418yes—
1596C4⋊C4C22×D418yes—
1597C4⋊C4C22×D418yes—
1598C4⋊C4C22×D418yes—
1599C4⋊C4C2×#4114yes—
1600C4⋊C4C2×#4118yes—
1601C22⋊C4—28no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—28no—
1607C22⋊C4—28no—
1608C22⋊C4—28no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—28no—
1623C22⋊C4—28no—
1624C22⋊C4—28no—
1625C22⋊C4—24no—
1626C22⋊C4—28no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—28no—
1631C22⋊C4—28no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—44no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—44no—
1640C22⋊C4—42no—
1641C22⋊C4—42no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4C22×D418yes—
1655C22⋊C4C22×D418yes—
1656C22⋊C4C22×D418yes—
1657C22⋊C4C22×D418yes—
1658C22⋊C4C22×D418yes—
1659C22⋊C4C2×#4118yes—
1660C42—22no—
1661C42—22no—
1662C42—22no—
1663C42—22no—
1664C42—22no—
1665C42—22no—
1666C42—22no—
1667C42—22no—
1668C42—22no—
1669C42—22no—
1670C42—22no—
1671C42—22no—
1672C42—24no—
1673C42—24no—
1674C42—24no—
1675C42—24no—
1676C42—24no—
1677C42—24no—
1678C42—24no—
1679C42—24no—
1680C42—28no—
1681C42—28no—
1682C42—28no—
1683C42—28no—
1684C42—24no—
1685C42—28no—
1686C42—24no—
1687C42—24no—
1688C42—44no—
1689C42—42no—
1690C42—42no—
1691C42—42no—
1692C42—44no—
1693C42—44no—
1694C42C22×D414yes—
1695C42C22×D414yes—
1696C42C22×D414yes—
1697C42C22×D414yes—
1698C42C22×D418yes—
1699C23—21no—
1700C23—21no—
1701C23—22no—
1702C23—21no—
1703C23—21no—
1704C23—21no—
1705C23—21no—
1706C23—22no—
1707C23—21no—
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—22no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—22no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—44no—
1738C23—44no—
1739C23—44no—
1740C23—44no—
1741C23—44no—
1742C23—44no—
1743C23—44no—
1744C23C23×D412yes—
1745C23C23×D414yes—
1746C23C22×#4112yes—
1747C23C2×2−1+412yes—
1748C23C2611yescharacteristic
1749Q8—28no—
1750Q8—28no—
1751Q8—416no—
1752Q8—48no—
1753Q8—48no—
1754Q8—48no—
1755Q8—44no—
1756Q8—84no—
1757Q8—88no—
1758D4—28no—
1759D4—48no—
1760D4—48no—
1761D4—48no—
1762D4—48no—
1763D4—48no—
1764D4—48no—
1765D4—48no—
1766D4—48no—
1767D4—48no—
1768D4—48no—
1769D4—48no—
1770D4—44no—
1771D4—44no—
1772D4—88no—
1773D4—164no—
1774C2×C4—28no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—21no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—22no—
1801C2×C4—28no—
1802C2×C4—28no—
1803C2×C4—216no—
1804C2×C4—28no—
1805C2×C4—28no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—24no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—24no—
1815C2×C4—24no—
1816C2×C4—22no—
1817C2×C4—21no—
1818C2×C4—24no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—24no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—24no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—24no—
1834C2×C4—24no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—24no—
1838C2×C4—24no—
1839C2×C4—24no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—24no—
1845C2×C4—22no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—44no—
1849C2×C4—44no—
1850C2×C4—44no—
1851C2×C4—44no—
1852C2×C4—44no—
1853C2×C4—44no—
1854C2×C4—44no—
1855C2×C4—48no—
1856C2×C4—48no—
1857C2×C4—48no—
1858C2×C4—44no—
1859C2×C4—44no—
1860C2×C4—44no—
1861C2×C4—44no—
1862C2×C4—416no—
1863C2×C4—48no—
1864C2×C4—48no—
1865C2×C4—44no—
1866C2×C4—48no—
1867C2×C4—48no—
1868C2×C4—44no—
1869C2×C4—84no—
1870C2×C4—164no—
1871C2×C4C23×D412yes—
1872C2×C4C23×D412yes—
1873C2×C4C23×D412yes—
1874C2×C4C23×D414yes—
1875C2×C4C23×D414yes—
1876C2×C4C23×D414yes—
1877C2×C4C23×D412yes—
1878C2×C4C23×D412yes—
1879C2×C4C23×D412yes—
1880C2×C4C22×#4114yes—
1881C2×C4C22×#4114yes—
1882C2×C4C22×#4112yes—
1883C2×C4C22×#4112yes—
1884C2×C4C2×2−1+412yes—
1885C2×C4C2×2−1+412yes—
1886C2×C4#58512yes—
1887C2×C4#58512yes—
1888C2×C4#58512yes—
1889C2×C4#58512yes—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—24no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—24no—
1898C22—22no—
1899C22—24no—
1900C22—22no—
1901C22—22no—
1902C22—416no—
1903C22—42no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—42no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—42no—
1912C22—41no—
1913C22—41no—
1914C22—42no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—42no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—42no—
1927C22—42no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—42no—
1932C22—42no—
1933C22C24×D411yescharacteristic
1934C22C23×#4111yescharacteristic
1935C22C22×2−1+411yescharacteristic
1936C22C2×#58511yescharacteristic
1937C22C2×#58511yescharacteristic
1938C22C2×#58511yescharacteristic
1939C22C2×#58511yescharacteristic
1940C4—22no—
1941C4—22no—
1942C4—24no—
1943C4—24no—
1944C4—22no—
1945C4—22no—
1946C4—22no—
1947C4—22no—
1948C4—24no—
1949C4—22no—
1950C4—22no—
1951C4—24no—
1952C4—24no—
1953C4—44no—
1954C4—42no—
1955C4—42no—
1956C4—41no—
1957C4—42no—
1958C4—42no—
1959C4—42no—
1960C4—44no—
1961C4—42no—
1962C4—42no—
1963C4—44no—
1964C4—41no—
1965C4—42no—
1966C4—44no—
1967C4D4×#4114yes—
1968C4#348914yes—
1969C2—44no—
1970C2—42no—
1971C2—42no—
1972C2—42no—
1973C2—82no—
1974C2—82no—
1975C2C2×D4×#4111yescharacteristic
1976C2#6279311yescharacteristic
1977C2C2×#348911yescharacteristic
1978C2#6280511yescharacteristic
1979C2#6281111yescharacteristic
1980C2#6283811yescharacteristic
1981C2#6284111yescharacteristic
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×#3518C2semidirect
2. C2×#3444C2semidirect
3. #59188C2semidirect
4. #59171C2semidirect
5. #59115C2semidirect
6. #59114C2semidirect
7. #59018C2semidirect
8. #59017C2semidirect
9. #39727C2semidirect
10. #39597C2semidirect
11. #39469C2semidirect
12. #39343C2semidirect
13. #37844C2semidirect
14. #37827C2semidirect
15. #37815C2semidirect
16. #37659C2semidirect
17. #36625C2semidirect
18. #36504C2semidirect
19. #36456C2semidirect
20. #36411C2semidirect
21. #36405C2semidirect
22. #36374C2semidirect
23. #36274C2semidirect
24. #36142C2semidirect
25. #36141C2semidirect
26. #36135C2semidirect
27. #36132C2semidirect
28. #35663C2semidirect
29. #35568C2semidirect
30. #35258C2semidirect
31. #35201C2semidirect
32. #35189C2semidirect
33. #34268C2semidirect
34. #34242C2semidirect
35. C4×#525C2semidirect
37. C2×Q82C22semidirect
40. C2×#556C22semidirect
41. C2×#556C22semidirect
43. C2×#555C22semidirect
44. C2×D4×Q8C22semidirect
47. C2×#542C22semidirect
54. C2×#533C22semidirect
66. C2×#529C22semidirect
72. C2×#519C22semidirect
79. #2861C22semidirect
80. #2859C22semidirect
85. #2857C22semidirect
88. #2855C22semidirect
89. #2854C22semidirect
92. #2851C22semidirect
93. #2850C22semidirect
94. #2850C22semidirect
97. #2725C22semidirect
98. #2713C22semidirect
99. #2712C22semidirect
110. #2674C22semidirect
119. #2604C22semidirect
120. #2601C22semidirect
121. #2592C22semidirect
122. #2582C22semidirect
123. #2582C22semidirect
124. #2581C22semidirect
125. #2568C22semidirect
126. #2567C22semidirect
128. #2563C22semidirect
129. #2560C22semidirect
134. #2553C22semidirect
135. #2551C22semidirect
136. #2551C22semidirect
137. #2546C22semidirect
138. #2542C22semidirect
141. #2538C22semidirect
142. #2538C22semidirect
143. #2537C22semidirect
147. #2519C22semidirect
152. #2491C22semidirect
155. #2485C22semidirect
156. #2479C22semidirect
158. #2478C22semidirect
159. #2478C22semidirect
160. #2477C22semidirect
163. #2474C22semidirect
164. #2474C22semidirect
166. #2469C22semidirect
167. #2469C22semidirect
169. #2468C22semidirect
174. #2465C22semidirect
175. #2465C22semidirect
178. #2462C22semidirect
181. #2461C22semidirect
186. #2457C22semidirect
193. #2452C22semidirect
194. #2451C22semidirect
197. #2446C22semidirect
198. #2445C22semidirect
202. #2439C22semidirect
203. #2439C22semidirect
204. #2439C22semidirect
205. #2438C22semidirect
208. #2429C22semidirect
209. #2428C22semidirect
211. #2423C22semidirect
213. #2422C22semidirect
215. #2416C22semidirect
220. #2415C22semidirect
225. #2409C22semidirect
229. #2373C22semidirect
232. #2365C22semidirect
233. #2365C22semidirect
234. #2365C22semidirect
235. #2364C22semidirect
237. #2363C22semidirect
239. #2362C22semidirect
240. #2362C22semidirect
243. #2359C22semidirect
244. #2359C22semidirect
245. #2359C22semidirect
246. #2355C22semidirect
250. #2354C22semidirect
252. #2351C22semidirect
253. Q8×C4⋊C4C22semidirect
254. #2349C22semidirect
255. D4×C4⋊C4C22semidirect
259. #2324C22semidirect
262. #2323C22semidirect
263. #2323C22semidirect
264. #2323C22semidirect
265. #2314C22semidirect
267. C4×#125C22semidirect
268. C4×#124C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
290. #2296C22semidirect
291. C2×#391C22semidirect
297. #2274C22semidirect
350. #529D4semidirect
1006. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35182
C2×#34442
#591882
#591712
#591152
#591142
#590182
#590172
#397272
#395972
#394692
#393432
#378442
#378272
#378152
#376592
#366252
#365042
#364562
#364112
#364052
#363742
#362742
#361422
#361412
#361352
#361322
#356632
#355682
#352582
#352012
#351892
#342682
#342422
C4×#5252