Finite Group Databasebeta

← #8347015

Subgroups — #8347015

Order 512.

4586 conjugacy classes of subgroups.

The subgroup lattice has 2094 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59923C211yesmaximal, characteristic, complemented
2#59339C211yesmaximal, characteristic, complemented
3#58986C212yesmaximal, complemented
4#58983C212yesmaximal, complemented
5#58189C212yesmaximal, complemented
6#55085C212yesmaximal, complemented
7#54799C212yesmaximal, complemented
8#54798C212yesmaximal, complemented
9#54449C212yesmaximal, complemented
10#54228C212yesmaximal, complemented
11#52349C212yesmaximal, complemented
12#51628C212yesmaximal, complemented
13#51533C212yesmaximal, complemented
14#49856C212yesmaximal, complemented
15#48401C212yesmaximal, complemented
16#46349C211yesmaximal, characteristic, complemented
17#46145C211yesmaximal, characteristic, complemented
18#44003C212yesmaximal, complemented
19#43507C212yesmaximal, complemented
20#43018C212yesmaximal
21#42964C212yesmaximal, complemented
22#42587C212yesmaximal, complemented
23#42225C212yesmaximal, complemented
24#42000C212yesmaximal, complemented
25#41244C212yesmaximal, complemented
26#40865C212yesmaximal, complemented
27#40511C212yesmaximal, complemented
28#38598C212yesmaximal, complemented
29#38037C212yesmaximal, complemented
30#37686C212yesmaximal, complemented
31#36716C211yesmaximal, characteristic
32#36223C212yesmaximal, complemented
33#35794C212yesmaximal, complemented
34#35391C211yesmaximal, characteristic, complemented
35C2×#2621C211yesmaximal, characteristic, complemented
36C2×#552C2212yes—
37C2×#551C2212yes—
38C2×#544C2212yescomplemented
39C2×#543C2211yescharacteristic
40C2×#538C2211yescharacteristic
41C22×C4⋊Q8C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2852C2212yes—
46#2851C2212yes—
47#2849C2212yes—
48#2845C2212yescomplemented
49#2844C2211yescharacteristic, complemented
50#2843C2212yescomplemented
51#2843C2212yescomplemented
52#2839C2212yescomplemented
53#2838C2212yescomplemented
54#2836C2212yescomplemented
55#2836C2212yescomplemented
56#2834C2212yescomplemented
57#2833C2211yescharacteristic, complemented
58#2833C2212yescomplemented
59#2832C2211yescharacteristic, complemented
60#2831C2212yescomplemented
61#2831C2212yescomplemented
62#2822C2212yescomplemented
63#2822C2211yescharacteristic, complemented
64#2817C2212yes—
65#2814C2212yes—
66#2811C2211yescharacteristic, complemented
67#2809C2212yescomplemented
68#2806C2212yescomplemented
69#2806C2212yescomplemented
70#2806C2212yescomplemented
71#2802C2212yescomplemented
72#2799C2211yescharacteristic, complemented
73#2799C2212yescomplemented
74#2792C2212yescomplemented
75#2791C2212yescomplemented
76#2791C2212yescomplemented
77#2791C2212yescomplemented
78#2791C2212yescomplemented
79#2791C2212yescomplemented
80#2790C2212yescomplemented
81#2790C2212yescomplemented
82#2789C2211yescharacteristic, complemented
83#2789C2211yescharacteristic, complemented
84#2787C2212yes—
85#2787C2212yes—
86#2785C2211yescharacteristic, complemented
87#2783C2212yescomplemented
88#2775C2212yescomplemented
89#2774C2212yescomplemented
90#2774C2212yescomplemented
91#2774C2212yescomplemented
92#2773C2212yescomplemented
93#2769C2212yescomplemented
94#2769C2211yescharacteristic, complemented
95#2768C2212yescomplemented
96#2767C2212yescomplemented
97#2766C2212yescomplemented
98#2766C2212yescomplemented
99#2766C2212yescomplemented
100#2765C2212yes—
101#2765C2212yescomplemented
102#2764C2212yes—
103#2764C2212yescomplemented
104#2762C2212yescomplemented
105#2762C2212yescomplemented
106#2759C2212yescomplemented
107#2759C2212yescomplemented
108#2758C2212yescomplemented
109#2758C2212yescomplemented
110#2757C2212yescomplemented
111#2755C2212yescomplemented
112#2755C2212yescomplemented
113#2755C2212yescomplemented
114#2747C2212yes—
115#2747C2212yescomplemented
116#2745C2212yes—
117#2744C2212yes—
118#2734C2211yescharacteristic, complemented
119#2734C2212yescomplemented
120#2734C2212yescomplemented
121#2729C2212yescomplemented
122#2729C2212yescomplemented
123#2729C2212yescomplemented
124#2728C2211yescharacteristic, complemented
125#2726C2212yescomplemented
126#2722C2212yes—
127#2721C2212yescomplemented
128#2720C2212yescomplemented
129#2717C2212yes—
130#2717C2212yes—
131#2716C2212yescomplemented
132#2715C2212yes—
133#2713C2212yescomplemented
134#2713C2212yescomplemented
135#2713C2212yescomplemented
136#2708C2212yes—
137#2704C2212yescomplemented
138#2702C2212yescomplemented
139#2701C2212yes—
140#2700C2212yes—
141#2700C2212yes—
142#2700C2212yes—
143#2698C2212yes—
144#2698C2212yes—
145#2698C2212yes—
146#2698C2212yes—
147#2698C2212yes—
148#2698C2212yes—
149#2698C2212yescomplemented
150#2698C2212yescomplemented
151#2698C2212yescomplemented
152#2698C2212yescomplemented
153#2692C2212yescomplemented
154#2690C2212yes—
155#2689C2212yes—
156#2689C2212yes—
157#2689C2212yes—
158#2689C2212yes—
159#2689C2212yes—
160#2687C2212yes—
161#2681C2212yes—
162#2681C2212yes—
163#2680C2212yes—
164#2680C2212yes—
165#2680C2212yes—
166#2680C2212yes—
167#2680C2212yes—
168#2680C2212yes—
169#2677C2212yescomplemented
170#2677C2212yescomplemented
171#2674C2212yes—
172#2674C2212yes—
173#2674C2212yes—
174#2666C2212yescomplemented
175#2666C2212yescomplemented
176#2666C2212yescomplemented
177#2666C2212yescomplemented
178#2663C2212yes—
179#2660C2212yescomplemented
180#2660C2212yescomplemented
181#2654C2212yescomplemented
182#2653C2212yes—
183#2652C2212yes—
184#2651C2212yescomplemented
185#2650C2212yescomplemented
186#2647C2212yescomplemented
187#2638C2212yes—
188#2628C2212yescomplemented
189#2627C2212yes—
190#2625C2212yes—
191#2625C2212yescomplemented
192#2623C2212yes—
193#2622C2212yes—
194#2621C2212yes—
195#2621C2212yes—
196#2621C2212yes—
197#2621C2212yes—
198#2621C2212yes—
199#2621C2212yes—
200#2621C2212yes—
201#2621C2212yes—
202#2621C2212yes—
203#2612C2212yescomplemented
204#2612C2211yescharacteristic, complemented
205#2611C2212yes—
206#2611C2212yes—
207#2609C2212yes—
208#2609C2211yescharacteristic, complemented
209#2601C2212yes—
210#2599C2212yes—
211#2595C2212yes—
212#2591C2211yescharacteristic
213#2590C2212yescomplemented
214#2589C2212yescomplemented
215#2586C2212yescomplemented
216#2586C2211yescharacteristic, complemented
217#2586C2212yescomplemented
218#2586C2211yescharacteristic, complemented
219#2583C2211yescharacteristic
220#2583C2212yes—
221#2583C2211yescharacteristic
222#2583C2211yescharacteristic
223#2579C2212yes—
224#2578C2212yes—
225#2577C2212yes—
226#2577C2212yes—
227#2577C2212yes—
228#2575C2212yes—
229#2574C2212yescomplemented
230#2574C2212yescomplemented
231#2573C2212yes—
232#2552C2212yescomplemented
233#2552C2212yescomplemented
234#2551C2212yescomplemented
235#2550C2212yescomplemented
236#2549C2212yes—
237#2549C2212yes—
238#2549C2212yes—
239#2549C2212yes—
240#2549C2212yes—
241#2549C2212yes—
242#2532C2212yescomplemented
243#2531C2212yes—
244#2530C2212yes—
245#2529C2212yescomplemented
246#2523C2212yes—
247#2521C2212yes—
248#2520C2212yescomplemented
249#2520C2212yescomplemented
250#2518C2212yes—
251#2518C2212yescomplemented
252#2517C2212yes—
253#2510C2212yes—
254#2508C2212yescomplemented
255#2508C2212yescomplemented
256#2507C2212yescomplemented
257#2505C2212yes—
258#2504C2211yescharacteristic
259#2502C2211yescharacteristic
260#2502C2211yescharacteristic
261#2502C2211yescharacteristic
262#2502C2212yescomplemented
263#2499C2212yes—
264#2498C2212yes—
265#2496C2212yes—
266#2495C2212yes—
267#2494C2212yes—
268#2493C2212yes—
269#2493C2212yes—
270#2493C2212yes—
271#2489C2212yes—
272#2489C2212yes—
273#2488C2212yes—
274#2488C2212yes—
275#2488C2212yes—
276#2488C2212yes—
277#2488C2212yes—
278#2486C2212yes—
279#2484C2212yes—
280#2484C2212yes—
281#2483C2212yes—
282#2481C2212yes—
283#2479C2212yes—
284#2479C2212yescomplemented
285#2478C2212yes—
286#2477C2212yes—
287#2477C2212yes—
288#2475C2212yes—
289#2475C2212yes—
290#2475C2212yes—
291#2473C2212yes—
292#2473C2212yes—
293#2473C2212yes—
294#2473C2212yes—
295#2473C2212yescomplemented
296#2470C2212yes—
297#2465C2212yescomplemented
298#2460C2212yes—
299#2451C2212yescomplemented
300#2451C2212yescomplemented
301#2451C2212yescomplemented
302#2450C2212yes—
303#2449C2212yes—
304#2449C2212yes—
305#2449C2212yes—
306#2449C2212yes—
307#2449C2212yes—
308#2447C2212yes—
309#2444C2212yes—
310#2443C2212yes—
311#2442C2212yes—
312#2440C2212yes—
313#2440C2212yes—
314#2440C2212yes—
315#2440C2212yes—
316#2440C2212yes—
317#2440C2212yes—
318#2440C2212yes—
319#2440C2212yescomplemented
320#2439C2212yescomplemented
321#2438C2212yes—
322#2438C2212yes—
323#2438C2212yes—
324#2438C2212yes—
325#2438C2212yes—
326#2438C2212yes—
327#2438C2212yes—
328#2437C2212yes—
329#2434C2212yes—
330#2434C2212yes—
331#2427C2212yes—
332#2425C2212yes—
333#2419C2212yes—
334#2415C2212yes—
335#2413C2212yes—
336#2413C2212yes—
337#2412C2212yes—
338#2412C2212yes—
339#2409C2212yes—
340#2409C2212yes—
341#2401C2212yes—
342#2395C2212yes—
343C2×#398C2212yes—
344C2×#398C2212yes—
345C2×#397C2212yes—
346C2×#397C2212yes—
347#2382C2212yescomplemented
348#2378C2212yescomplemented
349#2369C2212yescomplemented
350#2368C2212yes—
351#2368C2212yes—
352#2359C2212yes—
353#2359C2212yes—
354#2359C2212yes—
355#2358C2212yes—
356#2352C2212yes—
357D4×C4⋊C4C2212yes—
358#2346C2212yescomplemented
359#2344C2212yes—
360#2343C2212yes—
361#2343C2212yes—
362#2343C2212yes—
363#2342C2212yes—
364#2342C2212yes—
365#2332C2212yescomplemented
366#2331C2212yescomplemented
367#2331C2212yescomplemented
368#2322C2212yes—
369#2317C2212yes—
370#2315C2212yes—
371#2312C2211yescharacteristic
372C4×C22⋊Q8C2212yes—
373C2×#391C2211yescharacteristic
374C2×#391C2211yescharacteristic
375#2290C2212yes—
376C2×#385C2212yes—
377C2×#382C2211yescharacteristic
378#2273C2211yescharacteristic
379C23×Q8C2311yescharacteristic
380C23×Q8C2311yescharacteristic
381C24×C4C2311yescharacteristic
382#552—48no—
383#551—48no—
384#544—48no—
385#543—44no—
386#538—44no—
387C2×C4⋊Q8—44no—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×C4⋊Q8C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×C22⋊Q8—44no—
419C2×C22⋊Q8—44no—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×#121C2311yescharacteristic
448C2×#121C2312yes—
449C2×#120C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×#117—44no—
457C2×#117C2312yes—
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2311yescharacteristic
469C22×C4⋊C4C2311yescharacteristic
470C22×C4⋊C4C2311yescharacteristic
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2311yescharacteristic
477C22×C4⋊C4C2312yes—
478C22×C22⋊C4C2311yescharacteristic
479C22×C22⋊C4C2312yes—
480C22×C22⋊C4C2312yes—
481C22×C22⋊C4C2312yes—
482C22×C22⋊C4C2311yescharacteristic
483C22×C22⋊C4C2312yes—
484C22×C42C2311yescharacteristic
485C22×C42C2311yescharacteristic
486#401C2312yes—
487#401C2312yes—
488#401C2312yes—
489#401C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2311yescharacteristic
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2311yescharacteristic
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2311yescharacteristic
543#398C2311yescharacteristic
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2311yescharacteristic
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2311yescharacteristic
573#398C2311yescharacteristic
574#398C2312yes—
575#398C2311yescharacteristic
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
605#398C2312yes—
606#398C2312yes—
607#398C2312yes—
608#398C2312yes—
609#398C2312yes—
610#398C2312yes—
611#398C2312yes—
612#398C2312yes—
613#398C2312yes—
614#398C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2312yes—
630#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#397C2312yes—
637#397C2312yes—
638#397C2312yes—
639#397C2312yes—
640#397C2312yes—
641#397C2312yes—
642#397C2312yes—
643#397C2312yes—
644#397C2312yes—
645#397C2312yes—
646#397C2312yes—
647#397C2312yes—
648#397C2312yes—
649#397C2312yes—
650#397C2312yes—
651#397C2312yes—
652#397C2312yes—
653#397C2312yes—
654#397C2312yes—
655#397C2312yes—
656#397C2312yes—
657#397C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#396C2312yes—
662#396C2312yes—
663#396C2312yes—
664#396C2312yes—
665#396C2312yes—
666#396C2312yes—
667#396C2312yes—
668#396C2312yes—
669#396C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2311yescharacteristic
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#395C2311yescharacteristic
679#395C2312yes—
680#395C2312yes—
681#395C2312yes—
682#395C2312yes—
683#395C2311yescharacteristic
684#395C2311yescharacteristic
685#395C2311yescharacteristic
686#395C2312yes—
687#395C2311yescharacteristic
688#395C2312yes—
689#395C2312yes—
690#395C2312yes—
691#395C2312yes—
692#395C2312yes—
693#395C2312yes—
694#395C2312yes—
695#395C2312yes—
696#395C2312yes—
697#395C2312yes—
698#395C2312yes—
699#395C2312yes—
700#395C2312yes—
701#395C2312yes—
702#395C2312yes—
703#395C2312yes—
704#395C2312yes—
705#394C2311yescharacteristic
706#394C2312yes—
707#394C2312yes—
708#394C2311yescharacteristic
709#394C2312yes—
710#394C2312yes—
711#394C2312yes—
712#394C2312yes—
713#394C2312yes—
714#394C2312yes—
715#394C2312yes—
716#394C2312yes—
717#393C2312yes—
718#393C2312yes—
719#393C2312yes—
720#393C2312yes—
721#393C2312yes—
722#393C2312yes—
723#393C2312yes—
724#393C2312yes—
725#393C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2311yescharacteristic
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2311yescharacteristic
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
749#391C2312yes—
750#391C2311yescharacteristic
751#391C2312yes—
752#391C2311yescharacteristic
753#391C2312yes—
754#391C2312yes—
755#391C2312yes—
756#391C2312yes—
757#391C2312yes—
758#391C2312yes—
759#391C2312yes—
760#391C2312yes—
761#391C2312yes—
762#391C2312yes—
763#391C2312yes—
764#390C2312yes—
765#390C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#384C2312yes—
1001#384C2312yes—
1002#384C2312yes—
1003#384C2312yes—
1004#384C2312yes—
1005#384C2312yes—
1006#384C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#383C2312yes—
1010#383C2312yes—
1011#383C2312yes—
1012#383C2312yes—
1013#383C2312yes—
1014#382C2311yescharacteristic
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2311yescharacteristic
1026#382C2312yes—
1027#382C2311yescharacteristic
1028#382C2311yescharacteristic
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#379C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C22⋊C4C2311yescharacteristic
1077C4×C22⋊C4C2311yescharacteristic
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2311yescharacteristic
1088C4×C22⋊C4C2311yescharacteristic
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C2×#95C2312yes—
1104C2×#95C2312yes—
1105C2×#95C2312yes—
1106C2×#95C2312yes—
1107C25C2411yescharacteristic
1108C22×Q8—42no—
1109C22×Q8—42no—
1110C22×Q8—42no—
1111C22×Q8—42no—
1112C22×Q8—42no—
1113C22×Q8—42no—
1114C22×Q8C2412yes—
1115C22×Q8C2411yescharacteristic
1116C22×Q8C2412yes—
1117C22×Q8C2412yes—
1118C22×Q8C2412yes—
1119C22×Q8C2411yescharacteristic
1120C22×Q8C2412yes—
1121C22×Q8C2412yes—
1122C22×Q8C2411yescharacteristic
1123C22×Q8C2411yescharacteristic
1124C22×Q8C2411yescharacteristic
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2411yescharacteristic
1129C23×C4—24no—
1130C23×C4—42no—
1131C23×C4—42no—
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2411yescharacteristic
1139C23×C4C2412yes—
1140C23×C4C2411yescharacteristic
1141C23×C4C2412yes—
1142C23×C4C2411yescharacteristic
1143C23×C4C2411yescharacteristic
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2411yescharacteristic
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C4⋊Q8—28no—
1152C4⋊Q8—44no—
1153C4⋊Q8—44no—
1154C4⋊Q8—44no—
1155C4⋊Q8—44no—
1156C4⋊Q8—44no—
1157C4⋊Q8—44no—
1158C4⋊Q8—44no—
1159C4⋊Q8—44no—
1160#126—44no—
1161#126—44no—
1162#126—44no—
1163#126—44no—
1164#126—44no—
1165#125—28no—
1166#125—44no—
1167#125—44no—
1168#125—44no—
1169#125—44no—
1170#125—44no—
1171#124—44no—
1172#124—44no—
1173#123—28no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178#123—44no—
1179#123—44no—
1180#123—44no—
1181C22⋊Q8—28no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184C22⋊Q8—44no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—44no—
1188C22⋊Q8—44no—
1189C22⋊Q8—44no—
1190C22⋊Q8—42no—
1191C22⋊Q8—42no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—44no—
1195C22⋊Q8—44no—
1196C22⋊Q8—44no—
1197C22⋊Q8—42no—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—44no—
1201C22⋊Q8—44no—
1202C22⋊Q8—44no—
1203C22⋊Q8—44no—
1204C22⋊Q8—44no—
1205C22⋊Q8—44no—
1206C22⋊Q8—44no—
1207C22⋊Q8—44no—
1208#121—44no—
1209#121—42no—
1210#120—28no—
1211C4×Q8—44no—
1212C4×D4—28no—
1213C4×D4—44no—
1214C4×D4—44no—
1215C4×D4—44no—
1216C4×D4—44no—
1217#117—28no—
1218#117—28no—
1219#117—28no—
1220#117—44no—
1221#117—44no—
1222#117—44no—
1223#117—44no—
1224#117—44no—
1225#117—44no—
1226#117—44no—
1227C2×C4⋊C4—44no—
1228C2×C4⋊C4—44no—
1229C2×C4⋊C4—44no—
1230C2×C4⋊C4—44no—
1231C2×C4⋊C4—44no—
1232C2×C4⋊C4—44no—
1233C2×C4⋊C4—42no—
1234C2×C4⋊C4—42no—
1235C2×C4⋊C4—44no—
1236C2×C4⋊C4—42no—
1237C2×C4⋊C4—42no—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C22⋊C4—24no—
1343C2×C22⋊C4—24no—
1344C2×C22⋊C4—28no—
1345C2×C22⋊C4—28no—
1346C2×C22⋊C4—28no—
1347C2×C22⋊C4—44no—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C42—24no—
1402C2×C42—42no—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2411yescharacteristic
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2411yescharacteristic
1412C2×C42C2411yescharacteristic
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2411yescharacteristic
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2411yescharacteristic
1473#95C2411yescharacteristic
1474#95C2411yescharacteristic
1475#95C2411yescharacteristic
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2411yescharacteristic
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2411yescharacteristic
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2411yescharacteristic
1497#95C2411yescharacteristic
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554C24—24no—
1555C24—41no—
1556C24—41no—
1557C24—42no—
1558C24H(5,𝔽2)14yes—
1559C24C2512yes—
1560C24C2512yes—
1561C24C2511yescharacteristic
1562C2×Q8—24no—
1563C2×Q8—24no—
1564C2×Q8—24no—
1565C2×Q8—22no—
1566C2×Q8—24no—
1567C2×Q8—22no—
1568C2×Q8—42no—
1569C2×Q8—42no—
1570C2×Q8—42no—
1571C2×Q8—41no—
1572C2×Q8—42no—
1573C2×Q8—41no—
1574C2×Q8—41no—
1575C2×Q8—42no—
1576C2×Q8—41no—
1577C2×Q8—42no—
1578C2×Q8—42no—
1579C2×Q8—42no—
1580C2×Q8—41no—
1581C2×Q8—42no—
1582C2×Q8—41no—
1583C2×Q8—42no—
1584C2×Q8—41no—
1585C2×Q8—42no—
1586C2×Q8—42no—
1587C2×Q8—42no—
1588C2×Q8—42no—
1589C2×Q8—42no—
1590C2×Q8—42no—
1591C2×Q8—42no—
1592C2×Q8—88no—
1593C2×Q8—88no—
1594C2×D4—24no—
1595C2×D4—24no—
1596C2×D4—24no—
1597C2×D4—24no—
1598C2×D4—24no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—41no—
1604C2×D4—42no—
1605C22×C4—22no—
1606C22×C4—22no—
1607C22×C4—22no—
1608C22×C4—24no—
1609C22×C4—22no—
1610C22×C4—24no—
1611C22×C4—24no—
1612C22×C4—24no—
1613C22×C4—24no—
1614C22×C4—24no—
1615C22×C4—22no—
1616C22×C4—22no—
1617C22×C4—22no—
1618C22×C4—24no—
1619C22×C4—22no—
1620C22×C4—24no—
1621C22×C4—24no—
1622C22×C4—24no—
1623C22×C4—24no—
1624C22×C4—24no—
1625C22×C4—24no—
1626C22×C4—24no—
1627C22×C4—24no—
1628C22×C4—24no—
1629C22×C4—24no—
1630C22×C4—41no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—41no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—41no—
1638C22×C4—42no—
1639C22×C4—41no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—41no—
1652C22×C4—42no—
1653C22×C4—41no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—416no—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2511yescharacteristic
1675C22×C4C2512yes—
1676C22×C4C2511yescharacteristic
1677C22×C4C2511yescharacteristic
1678C22×C4C2511yescharacteristic
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2511yescharacteristic
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2511yescharacteristic
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—24no—
1699C4⋊C4—24no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—41no—
1723C4⋊C4—42no—
1724C4⋊C4—41no—
1725C4⋊C4—41no—
1726C4⋊C4—41no—
1727C4⋊C4—41no—
1728C4⋊C4—41no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—41no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—41no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—41no—
1781C4⋊C4—41no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
1807C22⋊C4—24no—
1808C22⋊C4—24no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C42−1+418yes—
1850C42—24no—
1851C42—22no—
1852C42—24no—
1853C42—24no—
1854C42—24no—
1855C42—24no—
1856C42—24no—
1857C42—41no—
1858C42—41no—
1859C42—42no—
1860C42—42no—
1861C42—42no—
1862C42—42no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C42—42no—
1867C42—42no—
1868C42—42no—
1869C42—42no—
1870C42—42no—
1871C42—42no—
1872C42—42no—
1873C42—42no—
1874C42—42no—
1875C42—42no—
1876C42H(5,𝔽2)14yes—
1877C23—21no—
1878C23—21no—
1879C23—22no—
1880C23—22no—
1881C23—22no—
1882C23—22no—
1883C23—22no—
1884C23—22no—
1885C23—22no—
1886C23—28no—
1887C23—22no—
1888C23—22no—
1889C23—22no—
1890C23—22no—
1891C23—22no—
1892C23—22no—
1893C23—22no—
1894C23—44no—
1895C23—44no—
1896C23—84no—
1897C23—84no—
1898C23C2×H(5,𝔽2)14yes—
1899C23C2×H(5,𝔽2)12yes—
1900C23C2×2−1+414yes—
1901C23C2611yescharacteristic
1902Q8—84no—
1903Q8—84no—
1904Q8—84no—
1905Q8—82no—
1906Q8—84no—
1907Q8—82no—
1908Q8—162no—
1909Q8—162no—
1910Q8—161no—
1911Q8—161no—
1912Q8—161no—
1913D4—48no—
1914D4—84no—
1915D4—84no—
1916D4—161no—
1917C2×C4—28no—
1918C2×C4—21no—
1919C2×C4—22no—
1920C2×C4—21no—
1921C2×C4—21no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—21no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—21no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—21no—
1952C2×C4—21no—
1953C2×C4—21no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—48no—
2006C2×C4—48no—
2007C2×C4—48no—
2008C2×C4—48no—
2009C2×C4—44no—
2010C2×C4—48no—
2011C2×C4—84no—
2012C2×C4—84no—
2013C2×C4—84no—
2014C2×C4—82no—
2015C2×C4—82no—
2016C2×C4—84no—
2017C2×C4—84no—
2018C2×C4—82no—
2019C2×C4—84no—
2020C2×C4—82no—
2021C2×C4—162no—
2022C2×C4—162no—
2023C2×C4C2×H(5,𝔽2)12yes—
2024C2×C4C2×H(5,𝔽2)14yes—
2025C2×C4C2×2−1+414yes—
2026C2×C4C2×2−1+414yes—
2027C2×C4#58512yes—
2028C22—22no—
2029C22—22no—
2030C22—24no—
2031C22—24no—
2032C22—24no—
2033C22—24no—
2034C22—24no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22—42no—
2044C22—42no—
2045C22—42no—
2046C22—88no—
2047C22#354414yes—
2048C22C22×H(5,𝔽2)11yescharacteristic
2049C22C22×H(5,𝔽2)11yescharacteristic
2050C22C22×2−1+412yes—
2051C22C2×#58511yescharacteristic
2052C222−1+612yes—
2053C4—22no—
2054C4—22no—
2055C4—24no—
2056C4—24no—
2057C4—24no—
2058C4—42no—
2059C4—42no—
2060C4—42no—
2061C4—42no—
2062C4—42no—
2063C4—42no—
2064C4—42no—
2065C4—42no—
2066C4—42no—
2067C4—42no—
2068C4—42no—
2069C4—41no—
2070C4—42no—
2071C4—41no—
2072C4—42no—
2073C4—41no—
2074C4—41no—
2075C4—42no—
2076C4—42no—
2077C4—42no—
2078C4—42no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—42no—
2084C4—42no—
2085C2—24no—
2086C2—44no—
2087C2—82no—
2088C2C2×#354411yescharacteristic
2089C2#6281811yescharacteristic
2090C2#6287111yescharacteristic
2091C2#6294212yes—
2092C2#6295012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#538C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59923C2semidirect
2. #59339C2semidirect
3. #58986C2semidirect
4. #58983C2semidirect
5. #58189C2semidirect
6. #55085C2semidirect
7. #54799C2semidirect
8. #54798C2semidirect
9. #54449C2semidirect
10. #54228C2semidirect
11. #52349C2semidirect
12. #51628C2semidirect
13. #51533C2semidirect
14. #49856C2semidirect
15. #48401C2semidirect
16. #46349C2semidirect
17. #46145C2semidirect
18. #44003C2semidirect
19. #43507C2semidirect
21. #42964C2semidirect
22. #42587C2semidirect
23. #42225C2semidirect
24. #42000C2semidirect
25. #41244C2semidirect
26. #40865C2semidirect
27. #40511C2semidirect
28. #38598C2semidirect
29. #38037C2semidirect
30. #37686C2semidirect
32. #36223C2semidirect
33. #35794C2semidirect
34. #35391C2semidirect
35. C2×#2621C2semidirect
38. C2×#544C22semidirect
48. #2845C22semidirect
49. #2844C22semidirect
50. #2843C22semidirect
51. #2843C22semidirect
52. #2839C22semidirect
53. #2838C22semidirect
54. #2836C22semidirect
55. #2836C22semidirect
56. #2834C22semidirect
57. #2833C22semidirect
58. #2833C22semidirect
59. #2832C22semidirect
60. #2831C22semidirect
61. #2831C22semidirect
62. #2822C22semidirect
63. #2822C22semidirect
66. #2811C22semidirect
67. #2809C22semidirect
68. #2806C22semidirect
69. #2806C22semidirect
70. #2806C22semidirect
71. #2802C22semidirect
72. #2799C22semidirect
73. #2799C22semidirect
74. #2792C22semidirect
75. #2791C22semidirect
76. #2791C22semidirect
77. #2791C22semidirect
78. #2791C22semidirect
79. #2791C22semidirect
80. #2790C22semidirect
81. #2790C22semidirect
82. #2789C22semidirect
83. #2789C22semidirect
86. #2785C22semidirect
87. #2783C22semidirect
88. #2775C22semidirect
89. #2774C22semidirect
90. #2774C22semidirect
91. #2774C22semidirect
92. #2773C22semidirect
93. #2769C22semidirect
94. #2769C22semidirect
95. #2768C22semidirect
96. #2767C22semidirect
97. #2766C22semidirect
98. #2766C22semidirect
99. #2766C22semidirect
101. #2765C22semidirect
103. #2764C22semidirect
104. #2762C22semidirect
105. #2762C22semidirect
106. #2759C22semidirect
107. #2759C22semidirect
108. #2758C22semidirect
109. #2758C22semidirect
110. #2757C22semidirect
111. #2755C22semidirect
112. #2755C22semidirect
113. #2755C22semidirect
115. #2747C22semidirect
118. #2734C22semidirect
119. #2734C22semidirect
120. #2734C22semidirect
121. #2729C22semidirect
122. #2729C22semidirect
123. #2729C22semidirect
124. #2728C22semidirect
125. #2726C22semidirect
127. #2721C22semidirect
128. #2720C22semidirect
131. #2716C22semidirect
133. #2713C22semidirect
134. #2713C22semidirect
135. #2713C22semidirect
137. #2704C22semidirect
138. #2702C22semidirect
149. #2698C22semidirect
150. #2698C22semidirect
151. #2698C22semidirect
152. #2698C22semidirect
153. #2692C22semidirect
169. #2677C22semidirect
170. #2677C22semidirect
174. #2666C22semidirect
175. #2666C22semidirect
176. #2666C22semidirect
177. #2666C22semidirect
179. #2660C22semidirect
180. #2660C22semidirect
181. #2654C22semidirect
184. #2651C22semidirect
185. #2650C22semidirect
186. #2647C22semidirect
188. #2628C22semidirect
191. #2625C22semidirect
203. #2612C22semidirect
204. #2612C22semidirect
208. #2609C22semidirect
213. #2590C22semidirect
214. #2589C22semidirect
215. #2586C22semidirect
216. #2586C22semidirect
217. #2586C22semidirect
218. #2586C22semidirect
229. #2574C22semidirect
230. #2574C22semidirect
232. #2552C22semidirect
233. #2552C22semidirect
234. #2551C22semidirect
235. #2550C22semidirect
242. #2532C22semidirect
245. #2529C22semidirect
248. #2520C22semidirect
249. #2520C22semidirect
251. #2518C22semidirect
254. #2508C22semidirect
255. #2508C22semidirect
256. #2507C22semidirect
262. #2502C22semidirect
284. #2479C22semidirect
295. #2473C22semidirect
297. #2465C22semidirect
299. #2451C22semidirect
300. #2451C22semidirect
301. #2451C22semidirect
319. #2440C22semidirect
320. #2439C22semidirect
347. #2382C22semidirect
348. #2378C22semidirect
349. #2369C22semidirect
358. #2346C22semidirect
365. #2332C22semidirect
366. #2331C22semidirect
367. #2331C22semidirect

Maximal subgroups

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

subgroupindex
#599232
#593392
#589862
#589832
#581892
#550852
#547992
#547982
#544492
#542282
#523492
#516282
#515332
#498562
#484012
#463492
#461452
#440032
#435072
#430182
#429642
#425872
#422252
#420002
#412442
#408652
#405112
#385982
#380372
#376862
#367162
#362232
#357942
#353912
C2×#26212