Finite Group Databasebeta

← #7732343

Subgroups — #7732343

Order 512.

6973 conjugacy classes of subgroups.

The subgroup lattice has 1975 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3554C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#49580C214yesmaximal, complemented
4#47868C214yesmaximal, complemented
5#47680C214yesmaximal, complemented
6#47676C214yesmaximal, complemented
7#45246C212yesmaximal, complemented
8#45244C212yesmaximal, complemented
9#45091C212yesmaximal, complemented
10#44987C212yesmaximal, complemented
11#39726C211yesmaximal, characteristic, complemented
12#39718C212yesmaximal, complemented
13#39598C212yesmaximal, complemented
14#39596C211yesmaximal, characteristic, complemented
15#39424C212yesmaximal, complemented
16#39417C212yesmaximal, complemented
17#39387C212yesmaximal, complemented
18#39356C212yesmaximal, complemented
19#39138C211yesmaximal, characteristic, complemented
20#39137C212yesmaximal, complemented
21#39127C211yesmaximal, characteristic, complemented
22#39118C212yesmaximal, complemented
23#37620C211yesmaximal, characteristic, complemented
24#37277C212yesmaximal, complemented
25#37276C212yesmaximal, complemented
26#36576C211yesmaximal, characteristic, complemented
27#36545C211yesmaximal, characteristic, complemented
28#36493C211yesmaximal, characteristic, complemented
29#36444C211yesmaximal, characteristic, complemented
30#35569C212yesmaximal, complemented
31#35567C212yesmaximal, complemented
32#35273C211yesmaximal, characteristic, complemented
33#35191C211yesmaximal, characteristic, complemented
34#34911C211yesmaximal, characteristic, complemented
35#34214C211yesmaximal, characteristic, complemented
36#3554—216no—
37C2×#562C2214yes—
38C2×#559C2212yes—
39C2×#559C2211yescharacteristic
40C2×#557C2211yescharacteristic
41C2×#554C2212yes—
42C2×#550C2211yescharacteristic
43C2×D4×Q8C2211yescharacteristic
44C2×#548C2212yes—
45C2×#548C2212yes—
46C2×#548C2212yes—
47C2×#547C2212yes—
48#3461—216no—
49C2×#544C2211yescharacteristic
50C2×#542C2212yes—
51C2×#542C2212yes—
52C2×#542C2212yes—
53C2×#542C2211yescharacteristic
54C2×#542C2211yescharacteristic
55C2×#541C2212yes—
56C2×#541C2211yescharacteristic
57C2×#541C2211yescharacteristic
58C2×#540C2212yes—
59C2×#539C2214yes—
60C2×#539C2212yes—
61C2×#539C2212yes—
62C2×#537C2211yescharacteristic
63C2×#537C2212yes—
64C2×#536C2212yes—
65C2×#536C2211yescharacteristic
66C2×#536C2211yescharacteristic
67C2×#533C2212yes—
68C2×#533C2211yescharacteristic
69C2×#533C2211yescharacteristic
70C2×#532C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#529C2211yescharacteristic
73C2×#529C2212yes—
74C2×#529C2212yes—
75C2×#529C2212yes—
76C2×#529C2211yescharacteristic
77C2×C4×#41C2211yescharacteristic
78C2×C4×#41C2211yescharacteristic
79C22×C4×Q8C2211yescharacteristic
80#2861C2212yes—
81#2858C2212yes—
82#2857C2212yes—
83#2857C2211yescharacteristic
84#2857C2211yescharacteristic
85#2856C2211yescharacteristic
86#2856C2211yescharacteristic
87#2856C2212yes—
88#2851C2212yes—
89#2850C2212yes—
90#2823C2214yes—
91#2731C2214yes—
92#2730C2214yes—
93#2730C2214yes—
94#2728C2214yes—
95#2725C2214yes—
96#2725C2214yes—
97#2720C2214yes—
98#2715C2214yes—
99#2714C2214yes—
100#2707C2214yes—
101#2707C2214yes—
102#2707C2214yes—
103#2705C2214yes—
104#2705C2214yes—
105#2705C2214yes—
106#2705C2214yes—
107#2704C2214yes—
108#2704C2214yes—
109#2702C2214yes—
110#2696C2214yes—
111#2693C2214yes—
112#2692C2214yes—
113#2691C2214yes—
114#2690C2214yes—
115#2683C2214yes—
116#2683C2214yes—
117#2683C2214yes—
118#2682C2214yes—
119#2682C2214yes—
120#2682C2214yes—
121#2681C2214yes—
122#2681C2214yes—
123#2676C2214yes—
124#2676C2214yes—
125#2676C2214yes—
126#2675C2214yes—
127#2674C2214yes—
128#2673C2214yes—
129#2672C2214yes—
130#2671C2214yes—
131#2661C2214yes—
132#2629C2212yes—
133#2629C2212yes—
134#2629C2212yes—
135#2628C2212yes—
136#2620C2212yes—
137#2620C2212yes—
138#2620C2212yes—
139#2620C2212yes—
140#2620C2212yes—
141#2619C2212yes—
142#2618C2214yes—
143#2604C2212yes—
144#2603C2212yes—
145#2603C2214yes—
146#2602C2212yes—
147#2602C2212yes—
148#2592C2211yescharacteristic
149#2592C2212yes—
150#2584C2211yescharacteristic
151#2584C2212yes—
152#2582C2211yescharacteristic
153#2581C2212yes—
154#2580C2212yes—
155#2567C2212yes—
156#2562C2211yescharacteristic
157#2562C2212yes—
158#2560C2214yes—
159#2560C2214yes—
160#2559C2214yes—
161#2558C2214yes—
162#2558C2214yes—
163#2557C2214yes—
164#2556C2214yes—
165#2555C2214yes—
166#2555C2214yes—
167#2554C2214yes—
168#2548C2212yes—
169#2548C2211yescharacteristic
170#2548C2214yes—
171#2547C2211yescharacteristic
172#2547C2212yes—
173#2546C2211yescharacteristic
174#2545C2212yes—
175#2545C2212yes—
176#2542C2212yes—
177#2541C2211yescharacteristic
178#2541C2212yes—
179#2541C2212yes—
180#2540C2211yescharacteristic
181#2540C2212yes—
182#2538C2212yes—
183#2538C2212yes—
184#2538C2212yes—
185#2538C2211yescharacteristic
186#2538C2212yes—
187#2538C2212yes—
188#2538C2211yescharacteristic
189#2538C2214yes—
190#2537C2212yes—
191#2537C2212yes—
192#2537C2211yescharacteristic
193#2537C2212yes—
194#2535C2212yes—
195#2535C2212yes—
196#2521C2214yes—
197#2512C2214yes—
198#2492C2212yes—
199#2490C2212yes—
200#2481C2214yes—
201#2473C2214yes—
202#2471C2214yes—
203#2464C2214yes—
204#2463C2214yes—
205#2462C2214yes—
206#2461C2214yes—
207#2461C2214yes—
208#2461C2214yes—
209#2461C2214yes—
210#2460C2214yes—
211#2456C2214yes—
212#2454C2214yes—
213#2453C2212yes—
214#2452C2212yes—
215#2448C2212yes—
216#2446C2212yes—
217#2445C2214yes—
218#2443C2214yes—
219#2440C2214yes—
220#2434C2212yes—
221#2434C2212yes—
222#2432C2212yes—
223#2431C2212yes—
224#2431C2212yes—
225#2431C2212yes—
226#2429C2214yes—
227#2429C2212yes—
228#2428C2214yes—
229#2428C2214yes—
230#2427C2212yes—
231#2427C2214yes—
232#2427C2212yes—
233#2426C2214yes—
234#2426C2212yes—
235#2426C2214yes—
236#2426C2212yes—
237#2426C2212yes—
238#2422C2214yes—
239#2417C2212yes—
240#2417C2214yes—
241#2417C2212yes—
242#2416C2212yes—
243#2416C2214yes—
244#2416C2212yes—
245#2416C2212yes—
246#2416C2212yes—
247#2416C2212yes—
248#2416C2212yes—
249#2416C2212yes—
250#2415C2212yes—
251#2415C2214yes—
252#2415C2211yescharacteristic
253#2415C2211yescharacteristic
254#2414C2211yescharacteristic
255#2414C2211yescharacteristic
256#2414C2212yes—
257#2414C2212yes—
258#2409C2212yes—
259#2407C2212yes—
260#2395C2212yes—
261#2388C2212yes—
262#2366C2212yes—
263#2365C2212yes—
264#2363C2212yes—
265#2360C2212yes—
266#2360C2212yes—
267#2360C2214yes—
268#2360C2212yes—
269#2355C2212yes—
270#2355C2211yescharacteristic
271#2355C2211yescharacteristic
272Q8×C4⋊C4C2211yescharacteristic
273Q8×C4⋊C4C2212yes—
274Q8×C4⋊C4C2211yescharacteristic
275#2341C2212yes—
276Q8×C22⋊C4C2212yes—
277#2330C2214yes—
278#2324C2212yes—
279#2324C2212yes—
280#2324C2212yes—
281#2324C2212yes—
282#2324C2212yes—
283#2323C2212yes—
284#2317C2212yes—
285#2311C2212yes—
286C4×C4⋊Q8C2212yes—
287C4×C4⋊Q8C2212yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2212yes—
291C4×#121C2212yes—
292C4×#121C2211yescharacteristic
293C4×#121C2211yescharacteristic
294C4×#121C2212yes—
295C4×#121C2212yes—
296#2293C2212yes—
297#2293C2212yes—
298C2×#384C2211yescharacteristic
299#2274C2212yes—
300C4×#117C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×Q8C2311yescharacteristic
306C23×Q8C2312yes—
307#562—232no—
308#559—216no—
309#559—28no—
310#557—28no—
311#554—216no—
312#550—28no—
313D4×Q8—28no—
314#548—216no—
315#548—48no—
316#548—48no—
317#547—216no—
318#544—28no—
319#542—28no—
320#542—216no—
321#542—28no—
322#542—216no—
323#542—216no—
324#541—28no—
325#541—216no—
326#541—28no—
327#540—216no—
328#539—216no—
329#539—232no—
330#539—216no—
331#537—28no—
332#537—48no—
333#536—28no—
334#536—216no—
335#536—28no—
336#533—216no—
337#533—28no—
338#533D4116yescomplemented
339#532—28no—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2311yescharacteristic
350C2×#127C2311yescharacteristic
351C2×#127C2312yes—
352C2×#127C2312yes—
353C2×#127C2314yes—
354#529—216no—
355#529—28no—
356#529—216no—
357#529—216no—
358#529—28no—
359#529—28no—
360C2×#126C2312yes—
361C2×#126C2314yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#126C2312yes—
368C2×#126C2312yes—
369C2×#126C2312yes—
370C2×#125C2312yes—
371C2×#125C2311yescharacteristic
372C2×#125C2311yescharacteristic
373C2×#125C2312yes—
374C2×#125C2312yes—
375C2×#125C2311yescharacteristic
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#125C2312yes—
379C2×#125C2312yes—
380C2×#125C2314yes—
381C2×#125C2312yes—
382C2×#124C2312yes—
383C2×#124C2311yescharacteristic
384C2×#124C2311yescharacteristic
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2312yes—
388C2×#124C2311yescharacteristic
389C2×#124C2312yes—
390C2×#124C2314yes—
391C2×#124C2312yes—
392C2×#124C2314yes—
393C2×#124C2312yes—
394C2×#124C2312yes—
395C2×#124C2314yes—
396C2×#124C2314yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2314yes—
407C2×#123C2314yes—
408C2×#123C2314yes—
409C2×#123C2314yes—
410C2×#123C2314yes—
411C2×#123C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2314yes—
431C2×C22⋊Q8C2314yes—
432C2×C22⋊Q8C2314yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2314yes—
436C2×C22⋊Q8C2311yescharacteristic
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2314yes—
439C2×C22⋊Q8C2314yes—
440C2×C22⋊Q8C2314yes—
441C2×C22⋊Q8C2311yescharacteristic
442C2×C22⋊Q8C2311yescharacteristic
443C2×C22⋊Q8C2312yes—
444C2×#121C2312yes—
445C2×#121C2311yescharacteristic
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2311yescharacteristic
449C2×#121C2312yes—
450C2×#121C2314yes—
451C2×#121C2311yescharacteristic
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2311yescharacteristic
456C2×#121C2314yes—
457C2×#121C2312yes—
458C2×#121C2314yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2311yescharacteristic
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2314yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2314yes—
468C2×#121C2314yes—
469C2×#121C2314yes—
470C2×#121C2314yes—
471C2×#121C2312yes—
472C2×#121C2314yes—
473C2×#121C2312yes—
474C2×#121C2314yes—
475C4×#41—28no—
476C4×#41—28no—
477C2×C4×Q8—28no—
478C2×C4×Q8C2312yes—
479C2×C4×Q8C2312yes—
480C2×C4×Q8C2312yes—
481C2×C4×Q8C2311yescharacteristic
482C2×C4×Q8C2311yescharacteristic
483C2×C4×Q8C2311yescharacteristic
484C2×C4×Q8C2311yescharacteristic
485C2×C4×Q8C2311yescharacteristic
486C2×C4×Q8C2311yescharacteristic
487C2×C4×Q8C2312yes—
488C2×C4×Q8C2311yescharacteristic
489C2×C4×Q8C2312yes—
490C2×C4×Q8C2312yes—
491C2×C4×Q8C2312yes—
492C2×C4×Q8C2314yes—
493C2×C4×Q8C2311yescharacteristic
494C2×C4×Q8C2311yescharacteristic
495C2×C4×Q8C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2311yescharacteristic
508C2×C4×D4C2312yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2311yescharacteristic
511C2×C4×D4C2311yescharacteristic
512C2×C4×D4C2312yes—
513C2×C4×D4C2311yescharacteristic
514C2×C4×D4C2312yes—
515C2×C4×D4C2312yes—
516C2×C4×D4C2311yescharacteristic
517C2×C4×D4C2314yes—
518C2×C4×D4C2312yes—
519C2×C4×D4C2314yes—
520C2×C4×D4C2314yes—
521C2×C4×D4C2314yes—
522C2×#117C2311yescharacteristic
523C2×#117C2312yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C2×#117C2311yescharacteristic
527C2×#117C2311yescharacteristic
528C2×#117C2311yescharacteristic
529C2×#117C2312yes—
530C2×#117C2312yes—
531C2×#117C2311yescharacteristic
532C2×#117C2311yescharacteristic
533C2×#117C2312yes—
534C22×C4⋊C4C2311yescharacteristic
535C22×C4⋊C4C2312yes—
536C22×C4⋊C4C2314yes—
537C22×C4⋊C4C2312yes—
538C22×C4⋊C4C2312yes—
539C22×C4⋊C4C2312yes—
540C22×C42C2312yes—
541C22×C42C2312yes—
542C22×C42C2311yescharacteristic
543C22×C42C2311yescharacteristic
544C22×C42C2311yescharacteristic
545#400C2312yes—
546#400C2314yes—
547#400C2314yes—
548#400C2314yes—
549#399C2314yes—
550#399C2312yes—
551#399C2314yes—
552#399C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2312yes—
558#398C2314yes—
559#398C2314yes—
560#398C2314yes—
561#398C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2312yes—
565#397C2314yes—
566#397C2312yes—
567#397C2312yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#395C2314yes—
594#395C2314yes—
595#395C2314yes—
596#395C2312yes—
597#395C2314yes—
598#395C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2312yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#393C2314yes—
625#393C2314yes—
626#393C2314yes—
627#393C2312yes—
628#392C2312yes—
629#392C2312yes—
630#392C2312yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#392C2314yes—
635#392C2314yes—
636#392C2314yes—
637#392C2314yes—
638#392C2314yes—
639#392C2314yes—
640#392C2314yes—
641#391C2314yes—
642#391C2314yes—
643#391C2312yes—
644#391C2312yes—
645#391C2314yes—
646#391C2312yes—
647#391C2312yes—
648#391C2311yescharacteristic
649#391C2311yescharacteristic
650#391C2312yes—
651#391C2312yes—
652#391C2314yes—
653#391C2312yes—
654#391C2312yes—
655#390C2314yes—
656#390C2314yes—
657#390C2312yes—
658#390C2312yes—
659#390C2312yes—
660#390C2312yes—
661#390C2312yes—
662#390C2312yes—
663#390C2314yes—
664#390C2314yes—
665#390C2314yes—
666#390C2314yes—
667#390C2311yescharacteristic
668#390C2311yescharacteristic
669#390C2312yes—
670#390C2314yes—
671#390C2312yes—
672#390C2314yes—
673#390C2312yes—
674#390C2312yes—
675#390C2314yes—
676#390C2312yes—
677#390C2312yes—
678#390C2314yes—
679#390C2314yes—
680#390C2312yes—
681#390C2312yes—
682#390C2312yes—
683#390C2312yes—
684#390C2314yes—
685#390C2314yes—
686#390C2314yes—
687#389C2314yes—
688#389C2314yes—
689#389C2312yes—
690#389C2312yes—
691#389C2314yes—
692#389C2311yescharacteristic
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2314yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2311yescharacteristic
702#389C2311yescharacteristic
703#389C2312yes—
704#389C2312yes—
705#389C2314yes—
706#389C2314yes—
707#389C2311yescharacteristic
708#389C2314yes—
709#389C2314yes—
710#389C2314yes—
711#389C2314yes—
712#389C2312yes—
713#389C2314yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2314yes—
719#388C2312yes—
720#388C2312yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2312yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2312yes—
733#388C2312yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2312yes—
739#388C2312yes—
740#388C2314yes—
741#388C2312yes—
742#388C2312yes—
743#388C2312yes—
744#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#387C2312yes—
757#387C2312yes—
758#387C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2312yes—
771#386C2312yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#386C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2312yes—
791#385C2312yes—
792#385C2314yes—
793#384C2312yes—
794#384C2314yes—
795#384C2312yes—
796#384C2312yes—
797#384C2312yes—
798#384C2311yescharacteristic
799#384C2311yescharacteristic
800#384C2312yes—
801#382C2312yes—
802#382C2312yes—
803#380C2311yescharacteristic
804#380C2312yes—
805#380C2312yes—
806#380C2311yescharacteristic
807#380C2311yescharacteristic
808#380C2312yes—
809#380C2311yescharacteristic
810#380C2314yes—
811#380C2314yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2314yes—
817#380C2312yes—
818#380C2314yes—
819#380C2312yes—
820#380C2312yes—
821#380C2314yes—
822#380C2314yes—
823#380C2314yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2314yes—
839C4×C4⋊C4C2312yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2312yes—
851C4×C22⋊C4C2312yes—
852#376C2312yes—
853C43C2312yes—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—42no—
861C2×#41—42no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C22×Q8—24no—
867C22×Q8—28no—
868C22×Q8—24no—
869C22×Q8—42no—
870C22×Q8—44no—
871C22×Q8—44no—
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×Q8C2411yescharacteristic
878C22×Q8C2411yescharacteristic
879C22×Q8C2412yes—
880C22×Q8C2414yes—
881C22×Q8C2412yes—
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2414yes—
919C23×C4C2412yes—
920C23×C4C2414yes—
921C23×C4C2411yescharacteristic
922C23×C4C2414yes—
923C23×C4C2411yescharacteristic
924C4⋊Q8—24no—
925C4⋊Q8—28no—
926C4⋊Q8—28no—
927C4⋊Q8—28no—
928C4⋊Q8—24no—
929C4⋊Q8—24no—
930C4⋊Q8—28no—
931C4⋊Q8—44no—
932C4⋊Q8C2×D418yes—
933C4⋊Q8C2×D418yes—
934#127—24no—
935#127—28no—
936#127—44no—
937#127—84no—
938#126—28no—
939#126—28no—
940#126—28no—
941#126—28no—
942#126—28no—
943#126—216no—
944#126—28no—
945#126—28no—
946#126—28no—
947#126—28no—
948#125—28no—
949#125—28no—
950#125—28no—
951#125—24no—
952#125—28no—
953#125—28no—
954#125—28no—
955#125—216no—
956#125—24no—
957#125—24no—
958#125—28no—
959#125C2×D4116yes—
960#124—24no—
961#124—28no—
962#124—28no—
963#124—216no—
964#124—28no—
965#124—28no—
966#124—216no—
967#124—24no—
968#124—24no—
969#124—28no—
970#124—28no—
971#124—44no—
972#124—44no—
973#124—48no—
974#124—48no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—216no—
983#123—216no—
984#123—216no—
985#123—216no—
986#123—216no—
987#123—28no—
988#123—28no—
989#123—216no—
990C22⋊Q8—24no—
991C22⋊Q8—28no—
992C22⋊Q8—24no—
993C22⋊Q8—28no—
994C22⋊Q8—216no—
995C22⋊Q8—24no—
996C22⋊Q8—24no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—24no—
1002C22⋊Q8—28no—
1003C22⋊Q8—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—216no—
1006C22⋊Q8—216no—
1007C22⋊Q8—216no—
1008C22⋊Q8—216no—
1009C22⋊Q8—28no—
1010C22⋊Q8—24no—
1011C22⋊Q8—48no—
1012C22⋊Q8—48no—
1013C22⋊Q8—48no—
1014C22⋊Q8—44no—
1015C22⋊Q8—42no—
1016C22⋊Q8—44no—
1017C22⋊Q8—44no—
1018C22⋊Q8—84no—
1019C22⋊Q8C2×D418yes—
1020C22⋊Q8C2×D418yes—
1021C22⋊Q8C2×D4116yes—
1022#121—24no—
1023#121—24no—
1024#121—28no—
1025#121—28no—
1026#121—28no—
1027#121—28no—
1028#121—24no—
1029#121—216no—
1030#121—28no—
1031#121—28no—
1032#121—24no—
1033#121—28no—
1034#121—28no—
1035#121—216no—
1036#121—216no—
1037#121—48no—
1038#121—48no—
1039#121—48no—
1040#121—48no—
1041#121—44no—
1042#121—44no—
1043#121—44no—
1044#121—44no—
1045#121—42no—
1046#121—44no—
1047#121—44no—
1048#121—48no—
1049#121—82no—
1050#121—84no—
1051#121—84no—
1052#121—82no—
1053C4×Q8—24no—
1054C4×Q8—24no—
1055C4×Q8—28no—
1056C4×Q8—24no—
1057C4×Q8—28no—
1058C4×Q8—28no—
1059C4×Q8—24no—
1060C4×Q8—24no—
1061C4×Q8—24no—
1062C4×Q8—28no—
1063C4×Q8—24no—
1064C4×Q8—28no—
1065C4×Q8—44no—
1066C4×Q8—44no—
1067C4×Q8—84no—
1068C4×Q8C2×D418yes—
1069C4×Q8C2×D418yes—
1070C4×Q8C2×D4116yes—
1071C4×D4—24no—
1072C4×D4—24no—
1073C4×D4—24no—
1074C4×D4—24no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—24no—
1080C4×D4—216no—
1081C4×D4—28no—
1082C4×D4—24no—
1083C4×D4—28no—
1084C4×D4—24no—
1085C4×D4—24no—
1086C4×D4—28no—
1087C4×D4—24no—
1088C4×D4—28no—
1089C4×D4—28no—
1090C4×D4—28no—
1091C4×D4—28no—
1092C4×D4—28no—
1093C4×D4—44no—
1094C4×D4—48no—
1095C4×D4—48no—
1096C4×D4—84no—
1097#117—24no—
1098#117—24no—
1099#117—28no—
1100#117—24no—
1101#117—24no—
1102#117—24no—
1103#117—28no—
1104#117—28no—
1105#117—28no—
1106#117—28no—
1107#117—42no—
1108#117C2×D4116yes—
1109C2×C4⋊C4—24no—
1110C2×C4⋊C4—28no—
1111C2×C4⋊C4—216no—
1112C2×C4⋊C4—44no—
1113C2×C4⋊C4—44no—
1114C2×C4⋊C4—82no—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2411yescharacteristic
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2411yescharacteristic
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2411yescharacteristic
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2411yescharacteristic
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2412yes—
1259C2×C42—24no—
1260C2×C42—28no—
1261C2×C42—28no—
1262C2×C42—24no—
1263C2×C42C2×D418yes—
1264C2×C42C2411yescharacteristic
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2412yes—
1268C2×C42C2411yescharacteristic
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2412yes—
1272C2×C42C2411yescharacteristic
1273C2×C42C2414yes—
1274C2×C42C2412yes—
1275C2×C42C2412yes—
1276C2×C42C2411yescharacteristic
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2412yes—
1281C2×C42C2414yes—
1282C2×C42C2414yes—
1283C2×C42C2414yes—
1284C2×C42C2412yes—
1285C2×C42C2414yes—
1286C2×C42C2412yes—
1287C2×C42C2411yescharacteristic
1288C2×C42C2411yescharacteristic
1289C2×C42C2412yes—
1290C2×C42C2412yes—
1291C2×C42C2411yescharacteristic
1292C2×C42C2411yescharacteristic
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2412yes—
1309#95C2414yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2412yes—
1317#95C2414yes—
1318#95C2412yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331C24C2512yes—
1332C24C2511yescharacteristic
1333C24C2514yes—
1334C24C2512yes—
1335C24C2511yescharacteristic
1336C24C2511yescharacteristic
1337#41—416no—
1338#41—416no—
1339#41—816no—
1340#41—816no—
1341C2×Q8—22no—
1342C2×Q8—24no—
1343C2×Q8—22no—
1344C2×Q8—22no—
1345C2×Q8—24no—
1346C2×Q8—24no—
1347C2×Q8—28no—
1348C2×Q8—22no—
1349C2×Q8—22no—
1350C2×Q8—24no—
1351C2×Q8—22no—
1352C2×Q8—24no—
1353C2×Q8—22no—
1354C2×Q8—22no—
1355C2×Q8—22no—
1356C2×Q8—22no—
1357C2×Q8—22no—
1358C2×Q8—22no—
1359C2×Q8—24no—
1360C2×Q8—42no—
1361C2×Q8—42no—
1362C2×Q8—42no—
1363C2×Q8—41no—
1364C2×Q8—44no—
1365C2×Q8—42no—
1366C2×Q8—44no—
1367C2×Q8—42no—
1368C2×Q8—416no—
1369C2×Q8—816no—
1370C2×Q8C22×D414yes—
1371C2×Q8C22×D414yes—
1372C2×Q8C22×D418yes—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—28no—
1381C2×D4—24no—
1382C2×D4—28no—
1383C2×D4—22no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—28no—
1392C2×D4—28no—
1393C2×D4—24no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—24no—
1397C2×D4—22no—
1398C2×D4—24no—
1399C2×D4—28no—
1400C2×D4—22no—
1401C2×D4—24no—
1402C2×D4—22no—
1403C2×D4—24no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—42no—
1407C2×D4—41no—
1408C2×D4—44no—
1409C2×D4—42no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—42no—
1417C2×D4—44no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—42no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—44no—
1429C2×D4—42no—
1430C2×D4—42no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—24no—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—22no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—22no—
1456C22×C4—24no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—24no—
1461C22×C4—22no—
1462C22×C4—24no—
1463C22×C4—22no—
1464C22×C4—22no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—22no—
1468C22×C4—28no—
1469C22×C4—28no—
1470C22×C4—28no—
1471C22×C4—28no—
1472C22×C4—41no—
1473C22×C4—41no—
1474C22×C4—42no—
1475C22×C4—42no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—42no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—42no—
1482C22×C4—41no—
1483C22×C4—41no—
1484C22×C4—41no—
1485C22×C4—41no—
1486C22×C4—42no—
1487C22×C4—44no—
1488C22×C4—42no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4C22×D414yes—
1496C22×C4C22×D414yes—
1497C22×C4C22×D414yes—
1498C22×C4H(5,𝔽2)14yes—
1499C22×C4C2512yes—
1500C22×C4C2512yes—
1501C22×C4C2514yes—
1502C22×C4C2511yescharacteristic
1503C22×C4C2511yescharacteristic
1504C22×C4C2512yes—
1505C22×C4C2512yes—
1506C22×C4C2511yescharacteristic
1507C22×C4C2511yescharacteristic
1508C22×C4C2514yes—
1509C22×C4C2512yes—
1510C22×C4C2512yes—
1511C22×C4C2514yes—
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2511yescharacteristic
1516C22×C4C2512yes—
1517C22×C4C2512yes—
1518C22×C4C2512yes—
1519C22×C4C2511yescharacteristic
1520C22×C4C2512yes—
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2511yescharacteristic
1525C22×C4C2512yes—
1526C22×C4C2511yescharacteristic
1527C22×C4C2511yescharacteristic
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—28no—
1535C4⋊C4—28no—
1536C4⋊C4—22no—
1537C4⋊C4—22no—
1538C4⋊C4—22no—
1539C4⋊C4—22no—
1540C4⋊C4—22no—
1541C4⋊C4—24no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—22no—
1553C4⋊C4—22no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—28no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—28no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—28no—
1568C4⋊C4—22no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—22no—
1573C4⋊C4—22no—
1574C4⋊C4—44no—
1575C4⋊C4—44no—
1576C4⋊C4—44no—
1577C4⋊C4—42no—
1578C4⋊C4—42no—
1579C4⋊C4—42no—
1580C4⋊C4—44no—
1581C4⋊C4—42no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—42no—
1589C4⋊C4—44no—
1590C4⋊C4—42no—
1591C4⋊C4—44no—
1592C4⋊C4—44no—
1593C4⋊C4C22×D418yes—
1594C4⋊C4C22×D414yes—
1595C4⋊C4C22×D418yes—
1596C4⋊C4C22×D414yes—
1597C4⋊C4C22×D418yes—
1598C4⋊C4C22×D418yes—
1599C4⋊C4C22×D418yes—
1600C4⋊C4C22×D418yes—
1601C4⋊C4C22×D418yes—
1602C4⋊C42−1+414yes—
1603C22⋊C4—22no—
1604C22⋊C4—22no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—28no—
1609C22⋊C4—24no—
1610C22⋊C4—22no—
1611C22⋊C4—22no—
1612C22⋊C4—22no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—22no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—28no—
1627C22⋊C4—28no—
1628C22⋊C4—28no—
1629C22⋊C4—28no—
1630C22⋊C4—28no—
1631C22⋊C4—28no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—28no—
1636C22⋊C4—24no—
1637C22⋊C4—28no—
1638C22⋊C4—24no—
1639C22⋊C4—28no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—44no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4—42no—
1648C22⋊C4—42no—
1649C22⋊C4—42no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—42no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
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⋊C4—44no—
1668C22⋊C4—42no—
1669C22⋊C4—44no—
1670C22⋊C4C22×D418yes—
1671C22⋊C4C22×D418yes—
1672C42—22no—
1673C42—22no—
1674C42—22no—
1675C42—24no—
1676C42—22no—
1677C42—24no—
1678C42—22no—
1679C42—24no—
1680C42—22no—
1681C42—24no—
1682C42—24no—
1683C42—24no—
1684C42—28no—
1685C42—24no—
1686C42—24no—
1687C42—24no—
1688C42—42no—
1689C42—42no—
1690C42—44no—
1691C42—44no—
1692C42—44no—
1693C42—42no—
1694C42—44no—
1695C42C22×D414yes—
1696C42C22×D418yes—
1697C42C22×D418yes—
1698C42C22×D414yes—
1699C42C22×D414yes—
1700C42C22×D414yes—
1701C23—21no—
1702C23—21no—
1703C23—21no—
1704C23—21no—
1705C23—21no—
1706C23—21no—
1707C23—21no—
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—22no—
1715C23—22no—
1716C23—24no—
1717C23—24no—
1718C23—22no—
1719C23—22no—
1720C23—21no—
1721C23—24no—
1722C23—22no—
1723C23—22no—
1724C23—21no—
1725C23—22no—
1726C23—24no—
1727C23—22no—
1728C23—21no—
1729C23—21no—
1730C23—22no—
1731C23—24no—
1732C23—22no—
1733C23—24no—
1734C23—22no—
1735C23—22no—
1736C23—21no—
1737C23—21no—
1738C23—22no—
1739C23—24no—
1740C23—22no—
1741C23C23×D412yes—
1742C23C2×H(5,𝔽2)12yes—
1743C23C2611yescharacteristic
1744Q8—28no—
1745Q8—28no—
1746Q8—48no—
1747Q8—48no—
1748Q8—44no—
1749Q8—44no—
1750Q8—48no—
1751Q8—44no—
1752Q8—84no—
1753Q8—88no—
1754D4—44no—
1755D4—44no—
1756D4—48no—
1757D4—44no—
1758D4—44no—
1759D4—48no—
1760D4—44no—
1761D4—48no—
1762D4—84no—
1763D4—84no—
1764D4—88no—
1765D4—84no—
1766D4—88no—
1767D4—88no—
1768D4—84no—
1769D4—84no—
1770D4—88no—
1771D4—84no—
1772D4—88no—
1773D4—88no—
1774D4—164no—
1775D4—164no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—28no—
1797C2×C4—28no—
1798C2×C4—28no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—24no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—24no—
1815C2×C4—24no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—21no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—24no—
1832C2×C4—24no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—24no—
1838C2×C4—22no—
1839C2×C4—24no—
1840C2×C4—21no—
1841C2×C4—22no—
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—44no—
1851C2×C4—48no—
1852C2×C4—48no—
1853C2×C4—48no—
1854C2×C4—44no—
1855C2×C4—44no—
1856C2×C4—44no—
1857C2×C4—48no—
1858C2×C4—82no—
1859C2×C4—82no—
1860C2×C4—84no—
1861C2×C4—88no—
1862C2×C4—84no—
1863C2×C4—88no—
1864C2×C4—88no—
1865C2×C4—88no—
1866C2×C4—164no—
1867C2×C4C23×D414yes—
1868C2×C4C23×D412yes—
1869C2×C4C23×D414yes—
1870C2×C4C23×D414yes—
1871C2×C4C23×D414yes—
1872C2×C4C23×D412yes—
1873C2×C4C23×D412yes—
1874C2×C4C23×D412yes—
1875C2×C4C23×D412yes—
1876C2×C4C23×D412yes—
1877C2×C4C2×H(5,𝔽2)12yes—
1878C2×C4C2×H(5,𝔽2)12yes—
1879C2×C4C2×2−1+414yes—
1880C2×C4C2×2−1+412yes—
1881C2×C4#58512yes—
1882C2×C4#58512yes—
1883C22—22no—
1884C22—22no—
1885C22—22no—
1886C22—22no—
1887C22—22no—
1888C22—22no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—42no—
1898C22—41no—
1899C22—42no—
1900C22—44no—
1901C22—42no—
1902C22—42no—
1903C22—41no—
1904C22—44no—
1905C22—41no—
1906C22—44no—
1907C22—42no—
1908C22—42no—
1909C22—44no—
1910C22—42no—
1911C22—42no—
1912C22—41no—
1913C22—41no—
1914C22—42no—
1915C22—42no—
1916C22—44no—
1917C22—42no—
1918C22—42no—
1919C22—44no—
1920C22—41no—
1921C22—42no—
1922C22—44no—
1923C22—42no—
1924C22—41no—
1925C22C24×D411yescharacteristic
1926C22C22×H(5,𝔽2)11yescharacteristic
1927C22C22×2−1+411yescharacteristic
1928C22C2×#58511yescharacteristic
1929C22C2×#58511yescharacteristic
1930C22H(7,𝔽2)11yescharacteristic
1931C222−1+611yescharacteristic
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—24no—
1936C4—24no—
1937C4—22no—
1938C4—22no—
1939C4—24no—
1940C4—24no—
1941C4—24no—
1942C4—41no—
1943C4—41no—
1944C4—42no—
1945C4—42no—
1946C4—42no—
1947C4—41no—
1948C4—42no—
1949C4—44no—
1950C4—41no—
1951C4—42no—
1952C4—42no—
1953C4—41no—
1954C4—42no—
1955C4—44no—
1956C4—44no—
1957C4—42no—
1958C4—42no—
1959C4#348814yes—
1960C4#349714yes—
1961C2—42no—
1962C2—42no—
1963C2—82no—
1964C2—81no—
1965C2—82no—
1966C2—84no—
1967C2C2×#349711yescharacteristic
1968C2C2×#348811yescharacteristic
1969C2#6285311yescharacteristic
1970C2#6294611yescharacteristic
1971C2#6295111yescharacteristic
1972C2#6295511yescharacteristic
1973C2#6296811yescharacteristic
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×#3554C2semidirect
2. C2×#3461C2semidirect
3. #49580C2semidirect
4. #47868C2semidirect
5. #47680C2semidirect
6. #47676C2semidirect
7. #45246C2semidirect
8. #45244C2semidirect
9. #45091C2semidirect
10. #44987C2semidirect
11. #39726C2semidirect
12. #39718C2semidirect
13. #39598C2semidirect
14. #39596C2semidirect
15. #39424C2semidirect
16. #39417C2semidirect
17. #39387C2semidirect
18. #39356C2semidirect
19. #39138C2semidirect
20. #39137C2semidirect
21. #39127C2semidirect
22. #39118C2semidirect
23. #37620C2semidirect
24. #37277C2semidirect
25. #37276C2semidirect
26. #36576C2semidirect
27. #36545C2semidirect
28. #36493C2semidirect
29. #36444C2semidirect
30. #35569C2semidirect
31. #35567C2semidirect
32. #35273C2semidirect
33. #35191C2semidirect
34. #34911C2semidirect
35. #34214C2semidirect
338. #533D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35542
C2×#34612
#495802
#478682
#476802
#476762
#452462
#452442
#450912
#449872
#397262
#397182
#395982
#395962
#394242
#394172
#393872
#393562
#391382
#391372
#391272
#391182
#376202
#372772
#372762
#365762
#365452
#364932
#364442
#355692
#355672
#352732
#351912
#349112
#342142