Finite Group Databasebeta

← #7895468

Subgroups — #7895468

Order 512.

4806 conjugacy classes of subgroups.

The subgroup lattice has 2330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60044C211yesmaximal, characteristic, complemented
2#59834C212yesmaximal, complemented
3#52280C211yesmaximal, characteristic, complemented
4#51929C212yesmaximal, complemented
5#51914C212yesmaximal, complemented
6#51095C212yesmaximal, complemented
7#50672C212yesmaximal, complemented
8#50544C212yesmaximal, complemented
9#48723C212yesmaximal, complemented
10#47708C212yesmaximal, complemented
11#47328C212yesmaximal, complemented
12#46090C211yesmaximal, characteristic, complemented
13#46013C211yesmaximal, characteristic, complemented
14#44399C212yesmaximal, complemented
15#44067C212yesmaximal, complemented
16#43547C212yesmaximal, complemented
17#43455C212yesmaximal, complemented
18#43112C212yesmaximal, complemented
19#42144C212yesmaximal, complemented
20#41987C212yesmaximal, complemented
21#41753C212yesmaximal, complemented
22#41009C212yesmaximal, complemented
23#39739C211yesmaximal, characteristic, complemented
24#39573C211yesmaximal, characteristic, complemented
25#39322C212yesmaximal, complemented
26#38820C211yesmaximal, characteristic, complemented
27#38820C211yesmaximal, characteristic, complemented
28#38761C211yesmaximal, characteristic, complemented
29#38710C212yesmaximal, complemented
30#38585C212yesmaximal, complemented
31#38487C211yesmaximal, characteristic, complemented
32#37219C211yesmaximal, characteristic, complemented
33#37195C211yesmaximal, characteristic, complemented
34#36415C211yesmaximal, characteristic, complemented
35#35830C212yesmaximal, complemented
36#35477C212yesmaximal, complemented
37#35044C211yesmaximal, characteristic, complemented
38#34500C212yesmaximal, complemented
39#34314C211yesmaximal, characteristic, complemented
40C2×#559C2212yes—
41C2×#555C2212yes—
42C2×#555C2211yescharacteristic
43C2×#553C2212yes—
44C2×#552C2211yescharacteristic
45C2×#547C2211yescharacteristic
46#2865C2212yes—
47#2863C2211yescharacteristic
48#2862C2211yescharacteristic
49#2858C2211yescharacteristic
50#2854C2211yescharacteristic
51#2850C2211yescharacteristic
52#2850C2211yescharacteristic
53#2850C2211yescharacteristic
54#2837C2212yes—
55#2828C2212yes—
56#2820C2212yes—
57#2818C2212yes—
58#2811C2211yescharacteristic
59#2808C2211yescharacteristic
60#2808C2211yescharacteristic
61#2808C2211yescharacteristic
62#2806C2211yescharacteristic
63#2806C2211yescharacteristic
64#2805C2211yescharacteristic
65#2803C2212yes—
66#2803C2212yes—
67#2799C2212yes—
68#2799C2212yes—
69#2798C2212yes—
70#2797C2212yes—
71#2797C2212yes—
72#2793C2212yes—
73#2791C2212yes—
74#2790C2212yes—
75#2788C2212yes—
76#2786C2212yes—
77#2786C2212yes—
78#2783C2212yes—
79#2782C2212yes—
80#2781C2212yes—
81#2780C2212yes—
82#2780C2212yes—
83#2779C2212yes—
84#2779C2212yes—
85#2775C2212yes—
86#2774C2212yes—
87#2772C2212yes—
88#2768C2212yes—
89#2761C2212yes—
90#2761C2212yes—
91#2756C2212yes—
92#2756C2212yes—
93#2755C2212yes—
94#2752C2212yes—
95#2749C2212yes—
96#2741C2212yes—
97#2737C2212yes—
98#2734C2212yes—
99#2733C2212yes—
100#2733C2211yescharacteristic
101#2733C2211yescharacteristic
102#2733C2212yes—
103#2733C2212yes—
104#2732C2211yescharacteristic
105#2732C2211yescharacteristic
106#2732C2211yescharacteristic
107#2730C2212yes—
108#2730C2212yes—
109#2730C2212yes—
110#2730C2212yes—
111#2727C2211yescharacteristic
112#2724C2211yescharacteristic
113#2718C2212yes—
114#2716C2212yes—
115#2715C2212yes—
116#2715C2212yes—
117#2714C2212yes—
118#2714C2212yes—
119#2714C2212yes—
120#2713C2212yes—
121#2713C2212yes—
122#2712C2212yes—
123#2710C2212yes—
124#2710C2212yes—
125#2709C2212yes—
126#2709C2212yes—
127#2708C2212yes—
128#2707C2212yes—
129#2707C2212yes—
130#2707C2212yes—
131#2703C2212yes—
132#2700C2212yes—
133#2700C2212yes—
134#2699C2212yes—
135#2695C2212yes—
136#2688C2212yes—
137#2688C2212yes—
138#2688C2212yes—
139#2686C2212yes—
140#2686C2212yes—
141#2686C2212yes—
142#2682C2212yes—
143#2682C2212yes—
144#2682C2211yescharacteristic
145#2682C2212yes—
146#2682C2211yescharacteristic
147#2682C2212yes—
148#2680C2212yes—
149#2673C2212yes—
150#2672C2212yes—
151#2671C2212yes—
152#2666C2212yes—
153#2662C2212yes—
154#2662C2212yes—
155#2662C2212yes—
156#2662C2212yes—
157#2657C2212yes—
158#2651C2212yes—
159#2651C2212yes—
160#2649C2212yes—
161#2649C2212yes—
162#2648C2212yes—
163#2648C2212yes—
164#2637C2212yes—
165#2635C2212yes—
166#2633C2212yes—
167#2631C2212yes—
168#2619C2212yes—
169#2612C2212yes—
170#2610C2212yes—
171#2609C2212yes—
172#2609C2212yes—
173#2605C2212yes—
174#2605C2212yes—
175#2603C2212yes—
176#2602C2212yes—
177#2601C2212yes—
178#2601C2212yes—
179#2601C2212yes—
180#2600C2212yes—
181#2600C2212yes—
182#2599C2212yes—
183#2598C2212yes—
184#2597C2212yes—
185#2597C2212yes—
186#2596C2212yes—
187#2595C2212yes—
188#2591C2212yes—
189#2587C2212yes—
190#2579C2212yes—
191#2578C2212yes—
192#2577C2212yes—
193#2575C2212yes—
194#2574C2212yes—
195#2574C2212yes—
196#2574C2212yes—
197#2573C2212yes—
198#2573C2212yes—
199#2563C2211yescharacteristic
200#2560C2212yes—
201#2560C2212yes—
202#2560C2212yes—
203#2559C2212yes—
204#2557C2212yes—
205#2557C2212yes—
206#2557C2212yes—
207#2557C2212yes—
208#2557C2212yes—
209#2557C2212yes—
210#2555C2212yes—
211#2555C2212yes—
212#2555C2212yes—
213#2555C2212yes—
214#2555C2212yes—
215#2554C2212yes—
216#2553C2212yes—
217#2550C2212yes—
218#2547C2211yescharacteristic
219#2545C2212yes—
220#2545C2212yes—
221#2545C2212yes—
222#2544C2212yes—
223#2544C2212yes—
224#2544C2212yes—
225#2543C2212yes—
226#2543C2212yes—
227#2541C2212yes—
228#2535C2212yes—
229#2535C2212yes—
230#2532C2212yes—
231#2531C2212yes—
232#2529C2212yes—
233#2526C2212yes—
234#2525C2212yes—
235#2523C2212yes—
236#2523C2212yes—
237#2521C2212yes—
238#2521C2212yes—
239#2521C2212yes—
240#2520C2212yes—
241#2515C2212yes—
242#2513C2211yescharacteristic
243#2499C2211yescharacteristic
244#2499C2211yescharacteristic
245#2492C2211yescharacteristic
246#2491C2212yes—
247#2490C2212yes—
248#2484C2212yes—
249#2481C2212yes—
250#2481C2212yes—
251#2479C2212yes—
252#2478C2212yes—
253#2476C2212yes—
254#2475C2212yes—
255#2474C2212yes—
256#2474C2212yes—
257#2474C2212yes—
258#2474C2212yes—
259#2474C2212yes—
260#2471C2212yes—
261#2471C2212yes—
262#2470C2212yes—
263#2469C2212yes—
264#2469C2212yes—
265#2468C2212yes—
266#2466C2212yes—
267#2464C2212yes—
268#2464C2212yes—
269#2461C2212yes—
270#2461C2212yes—
271#2460C2212yes—
272#2460C2212yes—
273#2459C2212yes—
274#2459C2212yes—
275#2459C2212yes—
276#2459C2212yes—
277#2459C2212yes—
278#2457C2212yes—
279#2456C2212yes—
280#2456C2212yes—
281#2456C2212yes—
282#2456C2212yes—
283#2456C2212yes—
284#2456C2212yes—
285#2456C2212yes—
286#2456C2212yes—
287#2456C2212yes—
288#2456C2212yes—
289#2452C2212yes—
290#2451C2212yes—
291#2450C2212yes—
292#2450C2212yes—
293#2449C2212yes—
294#2449C2212yes—
295#2448C2212yes—
296#2447C2212yes—
297#2447C2212yes—
298#2447C2211yescharacteristic
299#2444C2212yes—
300#2443C2212yes—
301#2443C2212yes—
302#2443C2212yes—
303#2439C2211yescharacteristic
304#2431C2211yescharacteristic
305#2431C2211yescharacteristic
306#2431C2211yescharacteristic
307#2430C2212yes—
308#2430C2212yes—
309#2428C2212yes—
310#2428C2211yescharacteristic
311#2419C2212yes—
312#2419C2212yes—
313#2416C2212yes—
314#2416C2212yes—
315#2414C2211yescharacteristic
316#2407C2212yes—
317#2407C2211yescharacteristic
318#2407C2212yes—
319#2407C2212yes—
320#2395C2212yes—
321#2392C2212yes—
322#2392C2212yes—
323#2392C2212yes—
324#2388C2212yes—
325#2379C2212yes—
326#2379C2212yes—
327#2376C2212yes—
328#2376C2212yes—
329#2373C2212yes—
330#2370C2211yescharacteristic
331#2370C2212yes—
332#2368C2212yes—
333#2367C2212yes—
334#2367C2212yes—
335#2366C2212yes—
336#2363C2212yes—
337#2362C2211yescharacteristic
338#2361C2212yes—
339#2360C2211yescharacteristic
340#2359C2212yes—
341#2359C2212yes—
342#2359C2212yes—
343#2359C2212yes—
344#2359C2212yes—
345#2355C2212yes—
346#2352C2211yescharacteristic
347#2352C2212yes—
348#2352C2212yes—
349#2352C2212yes—
350#2351C2211yescharacteristic
351#2349C2212yes—
352D4×C4⋊C4C2212yes—
353#2347C2211yescharacteristic
354#2344C2211yescharacteristic
355#2343C2212yes—
356#2337C2212yes—
357#2337C2212yes—
358#2336C2212yes—
359#2335C2212yes—
360#2335C2212yes—
361#2335C2212yes—
362#2334C2212yes—
363#2333C2212yes—
364#2332C2212yes—
365#2332C2212yes—
366#2328C2212yes—
367#2326C2212yes—
368#2326C2212yes—
369#2322C2212yes—
370#2322C2212yes—
371#2322C2212yes—
372#2320C2212yes—
373#2319C2212yes—
374#2318C2212yes—
375#2318C2212yes—
376C4×#127C2211yescharacteristic
377C4×#125C2211yescharacteristic
378C4×#126C2212yes—
379C4×#124C2212yes—
380C4×#124C2212yes—
381C4×C22⋊Q8C2211yescharacteristic
382C4×C22⋊Q8C2211yescharacteristic
383C4×#121C2211yescharacteristic
384#2297C2211yescharacteristic
385#2297C2211yescharacteristic
386#2297C2211yescharacteristic
387#2296C2211yescharacteristic
388#2295C2211yescharacteristic
389#2295C2212yes—
390#2293C2212yes—
391#2293C2212yes—
392C2×#389C2211yescharacteristic
393#2274C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C22×#41C2311yescharacteristic
397C22×#41C2311yescharacteristic
398#559—216no—
399#555—48no—
400#555—44no—
401#553—48no—
402#552—28no—
403#547—44no—
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2312yes—
407C2×C4⋊Q8C2311yescharacteristic
408C2×#127C2312yes—
409C2×#127C2311yescharacteristic
410C2×#127C2311yescharacteristic
411C2×#127C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#126C2312yes—
418C2×#125C2311yescharacteristic
419C2×#125C2312yes—
420C2×#125C2312yes—
421C2×#124C2312yes—
422C2×#124C2312yes—
423C2×#124C2312yes—
424C2×#124C2312yes—
425C2×#124C2312yes—
426C2×#124C2312yes—
427C2×#124C2312yes—
428C2×#124C2312yes—
429C2×#124C2312yes—
430C2×#124C2312yes—
431C2×#124C2311yescharacteristic
432C2×#124C2311yescharacteristic
433C2×#124C2311yescharacteristic
434C2×#124C2312yes—
435C2×#124C2312yes—
436C2×#124C2312yes—
437C2×#124C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
444C2×#123C2312yes—
445C2×#123C2312yes—
446C2×#123C2312yes—
447C2×#123C2312yes—
448C2×#123C2312yes—
449C2×#123C2312yes—
450C2×C22⋊Q8C2311yescharacteristic
451C2×C22⋊Q8C2311yescharacteristic
452C2×C22⋊Q8C2311yescharacteristic
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2312yes—
455C2×C22⋊Q8C2311yescharacteristic
456C2×C22⋊Q8C2312yes—
457C2×C22⋊Q8C2311yescharacteristic
458C2×#121C2312yes—
459C2×#121C2311yescharacteristic
460C2×#121C2311yescharacteristic
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2311yescharacteristic
467C2×#121C2312yes—
468C2×#121C2312yes—
469C2×#121C2312yes—
470C2×#121C2312yes—
471C2×#121C2312yes—
472C2×#121C2312yes—
473C2×#121C2311yescharacteristic
474C2×#121C2311yescharacteristic
475C2×#121C2312yes—
476C2×#121C2312yes—
477C2×#121C2312yes—
478C2×C4×Q8C2312yes—
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2311yescharacteristic
481C2×C4×Q8C2312yes—
482C2×C4×Q8C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2311yescharacteristic
506C2×C4×D4C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2311yescharacteristic
510C2×#117C2312yes—
511C2×#117C2312yes—
512C2×#117C2312yes—
513C2×#117C2312yes—
514C2×#117C2311yescharacteristic
515C2×#117C2311yescharacteristic
516C2×#117C2311yescharacteristic
517C2×#117C2311yescharacteristic
518C22×C4⋊C4C2311yescharacteristic
519C22×C4⋊C4C2312yes—
520C22×C4⋊C4C2312yes—
521C22×C4⋊C4C2312yes—
522C22×C4⋊C4C2311yescharacteristic
523C22×C42C2311yescharacteristic
524C22×C42C2311yescharacteristic
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
545#399C2312yes—
546#399C2312yes—
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#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
689#392C2312yes—
690#392C2312yes—
691#392C2312yes—
692#392C2312yes—
693#392C2312yes—
694#392C2312yes—
695#392C2312yes—
696#392C2312yes—
697#392C2312yes—
698#392C2312yes—
699#392C2312yes—
700#392C2312yes—
701#392C2312yes—
702#392C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#392C2312yes—
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#391C2311yescharacteristic
714#391C2312yes—
715#391C2312yes—
716#391C2311yescharacteristic
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2311yescharacteristic
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2311yescharacteristic
727#391C2311yescharacteristic
728#391C2311yescharacteristic
729#391C2311yescharacteristic
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2311yescharacteristic
736#391C2312yes—
737#391C2311yescharacteristic
738#391C2311yescharacteristic
739#391C2311yescharacteristic
740#391C2312yes—
741#391C2312yes—
742#391C2311yescharacteristic
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2311yescharacteristic
747#390C2312yes—
748#390C2311yescharacteristic
749#390C2311yescharacteristic
750#390C2311yescharacteristic
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2311yescharacteristic
760#390C2312yes—
761#390C2311yescharacteristic
762#390C2311yescharacteristic
763#390C2312yes—
764#390C2312yes—
765#390C2311yescharacteristic
766#390C2311yescharacteristic
767#390C2312yes—
768#390C2312yes—
769#390C2312yes—
770#390C2311yescharacteristic
771#390C2312yes—
772#390C2312yes—
773#390C2312yes—
774#390C2312yes—
775#390C2312yes—
776#390C2312yes—
777#389C2311yescharacteristic
778#389C2311yescharacteristic
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2311yescharacteristic
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2311yescharacteristic
789#389C2311yescharacteristic
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2311yescharacteristic
794#389C2312yes—
795#389C2311yescharacteristic
796#389C2311yescharacteristic
797#389C2311yescharacteristic
798#389C2312yes—
799#389C2312yes—
800#389C2311yescharacteristic
801#389C2312yes—
802#389C2312yes—
803#389C2311yescharacteristic
804#389C2312yes—
805#389C2312yes—
806#389C2311yescharacteristic
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
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#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#388C2312yes—
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#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
995#386C2312yes—
996#386C2312yes—
997#386C2312yes—
998#386C2312yes—
999#386C2312yes—
1000#386C2312yes—
1001#386C2312yes—
1002#386C2312yes—
1003#386C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2312yes—
1034#385C2312yes—
1035#385C2312yes—
1036#385C2312yes—
1037#385C2312yes—
1038#385C2312yes—
1039#385C2312yes—
1040#385C2312yes—
1041#385C2312yes—
1042#385C2312yes—
1043#384C2311yescharacteristic
1044#384C2312yes—
1045#383C2312yes—
1046#383C2312yes—
1047#383C2312yes—
1048#383C2312yes—
1049#383C2312yes—
1050#382C2311yescharacteristic
1051#382C2311yescharacteristic
1052#382C2311yescharacteristic
1053#382C2312yes—
1054#382C2312yes—
1055#382C2311yescharacteristic
1056#382C2312yes—
1057#382C2312yes—
1058#382C2312yes—
1059#382C2312yes—
1060#381C2312yes—
1061#381C2312yes—
1062#381C2312yes—
1063#381C2312yes—
1064#381C2312yes—
1065#381C2312yes—
1066#381C2312yes—
1067#381C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071#380C2312yes—
1072#380C2312yes—
1073#380C2312yes—
1074#380C2312yes—
1075#380C2312yes—
1076#380C2312yes—
1077#380C2312yes—
1078#380C2312yes—
1079#380C2311yescharacteristic
1080#380C2311yescharacteristic
1081#380C2311yescharacteristic
1082#380C2311yescharacteristic
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2311yescharacteristic
1090C4×C4⋊C4C2311yescharacteristic
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2311yescharacteristic
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2311yescharacteristic
1103C4×C4⋊C4C2311yescharacteristic
1104C4×C4⋊C4C2312yes—
1105C4×C4⋊C4C2312yes—
1106C4×C4⋊C4C2312yes—
1107C4×C4⋊C4C2311yescharacteristic
1108C4×C4⋊C4C2312yes—
1109C4×C4⋊C4C2311yescharacteristic
1110C4×C4⋊C4C2311yescharacteristic
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2311yescharacteristic
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2311yescharacteristic
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2311yescharacteristic
1134C4×C22⋊C4C2312yes—
1135C4×C22⋊C4C2311yescharacteristic
1136C4×C22⋊C4C2312yes—
1137C4×C22⋊C4C2312yes—
1138C4×C22⋊C4C2311yescharacteristic
1139C4×C22⋊C4C2311yescharacteristic
1140#376C2312yes—
1141#376C2312yes—
1142#376C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C2×#95C2312yes—
1146C43C2312yes—
1147C43C2311yescharacteristic
1148C2×#41—42no—
1149C2×#41—42no—
1150C2×#41—42no—
1151C2×#41—42no—
1152C2×#41—42no—
1153C2×#41—81no—
1154C2×#41—81no—
1155C2×#41—81no—
1156C2×#41—81no—
1157C22×Q8C2412yes—
1158C22×Q8C2412yes—
1159C22×Q8C2411yescharacteristic
1160C22×Q8C2411yescharacteristic
1161C22×Q8C2411yescharacteristic
1162C22×Q8C2412yes—
1163C22×Q8C2411yescharacteristic
1164C22×D4C2411yescharacteristic
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2411yescharacteristic
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2411yescharacteristic
1175C22×D4C2412yes—
1176C22×D4C2412yes—
1177C22×D4C2411yescharacteristic
1178C22×D4C2412yes—
1179C22×D4C2411yescharacteristic
1180C22×D4C2412yes—
1181C22×D4C2412yes—
1182C22×D4C2412yes—
1183C22×D4C2412yes—
1184C22×D4C2412yes—
1185C22×D4C2412yes—
1186C22×D4C2412yes—
1187C22×D4C2412yes—
1188C22×D4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2411yescharacteristic
1191C23×C4C2411yescharacteristic
1192C23×C4C2411yescharacteristic
1193C23×C4C2411yescharacteristic
1194C23×C4C2412yes—
1195C23×C4C2412yes—
1196C23×C4C2412yes—
1197C23×C4C2412yes—
1198C23×C4C2411yescharacteristic
1199C23×C4C2412yes—
1200C23×C4C2412yes—
1201C23×C4C2411yescharacteristic
1202C23×C4C2412yes—
1203C23×C4C2412yes—
1204C23×C4C2412yes—
1205C23×C4C2412yes—
1206C23×C4C2412yes—
1207C23×C4C2412yes—
1208C23×C4C2412yes—
1209C4⋊Q8—42no—
1210C4⋊Q8—42no—
1211C4⋊Q8—44no—
1212C4⋊Q8—81no—
1213#127—28no—
1214#127—42no—
1215#127—82no—
1216#127—81no—
1217#126—28no—
1218#126—44no—
1219#126—44no—
1220#126—44no—
1221#126—82no—
1222#126—82no—
1223#125—28no—
1224#125—24no—
1225#125—44no—
1226#124—28no—
1227#124—28no—
1228#124—28no—
1229#124—28no—
1230#124—28no—
1231#124—44no—
1232#124—44no—
1233#124—44no—
1234#124—44no—
1235#124—44no—
1236#124—81no—
1237#124—81no—
1238#124—81no—
1239#124—82no—
1240#124—82no—
1241#124—82no—
1242#124—82no—
1243#123—28no—
1244#123—28no—
1245#123—28no—
1246#123—28no—
1247#123—28no—
1248#123—28no—
1249#123—44no—
1250#123—44no—
1251#123—44no—
1252#123—44no—
1253#123—82no—
1254#123—82no—
1255C22⋊Q8—24no—
1256C22⋊Q8—24no—
1257C22⋊Q8—42no—
1258C22⋊Q8—44no—
1259C22⋊Q8—44no—
1260C22⋊Q8—44no—
1261C22⋊Q8—42no—
1262C22⋊Q8—81no—
1263#121—28no—
1264#121—42no—
1265#121—44no—
1266#121—44no—
1267#121—44no—
1268#121—44no—
1269#121—44no—
1270#121—44no—
1271#121—44no—
1272#121—44no—
1273#121—42no—
1274#121—44no—
1275#121—44no—
1276#121—42no—
1277#121—82no—
1278#121—81no—
1279#121—82no—
1280#121—81no—
1281#121—82no—
1282#121—82no—
1283C4×Q8—28no—
1284C4×Q8—81no—
1285C4×Q8—81no—
1286C4×Q8—82no—
1287C4×Q8#4118yescomplemented
1288C4×D4—28no—
1289C4×D4—28no—
1290C4×D4—24no—
1291C4×D4—24no—
1292C4×D4—28no—
1293C4×D4—28no—
1294C4×D4—44no—
1295C4×D4—42no—
1296C4×D4—42no—
1297C4×D4—44no—
1298C4×D4—42no—
1299C4×D4—44no—
1300C4×D4—44no—
1301C4×D4—44no—
1302C4×D4—44no—
1303C4×D4—44no—
1304C4×D4—44no—
1305C4×D4—81no—
1306C4×D4—82no—
1307C4×D4—82no—
1308C4×D4—82no—
1309C4×D4—82no—
1310C4×D4—82no—
1311C4×D4—82no—
1312#117—24no—
1313#117—28no—
1314#117—28no—
1315#117—44no—
1316#117—42no—
1317#117—44no—
1318#117—44no—
1319#117—44no—
1320#117—42no—
1321#117—81no—
1322#117—81no—
1323C2×C4⋊C4—24no—
1324C2×C4⋊C4—44no—
1325C2×C4⋊C4—44no—
1326C2×C4⋊C4—44no—
1327C2×C4⋊C4—81no—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2411yescharacteristic
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2411yescharacteristic
1351C2×C4⋊C4C2411yescharacteristic
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2411yescharacteristic
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2411yescharacteristic
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2411yescharacteristic
1365C2×C4⋊C4C2411yescharacteristic
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2411yescharacteristic
1368C2×C4⋊C4C2411yescharacteristic
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2411yescharacteristic
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2411yescharacteristic
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2411yescharacteristic
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2411yescharacteristic
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2412yes—
1393C2×C4⋊C4C2412yes—
1394C2×C4⋊C4C2412yes—
1395C2×C4⋊C4C2412yes—
1396C2×C4⋊C4C2412yes—
1397C2×C4⋊C4C2412yes—
1398C2×C4⋊C4C2411yescharacteristic
1399C2×C4⋊C4C2412yes—
1400C2×C4⋊C4C2412yes—
1401C2×C4⋊C4C2412yes—
1402C2×C4⋊C4C2411yescharacteristic
1403C2×C4⋊C4C2412yes—
1404C2×C22⋊C4C2411yescharacteristic
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2411yescharacteristic
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2411yescharacteristic
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2411yescharacteristic
1460C2×C22⋊C4C2411yescharacteristic
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2412yes—
1464C2×C22⋊C4C2412yes—
1465C2×C22⋊C4C2412yes—
1466C2×C22⋊C4C2412yes—
1467C2×C22⋊C4C2412yes—
1468C2×C22⋊C4C2412yes—
1469C2×C22⋊C4C2412yes—
1470C2×C22⋊C4C2412yes—
1471C2×C22⋊C4C2412yes—
1472C2×C22⋊C4C2412yes—
1473C2×C22⋊C4C2412yes—
1474C2×C22⋊C4C2412yes—
1475C2×C22⋊C4C2412yes—
1476C2×C22⋊C4C2412yes—
1477C2×C22⋊C4C2412yes—
1478C2×C22⋊C4C2412yes—
1479C2×C22⋊C4C2412yes—
1480C2×C22⋊C4C2412yes—
1481C2×C22⋊C4C2412yes—
1482C2×C22⋊C4C2412yes—
1483C2×C22⋊C4C2412yes—
1484C2×C22⋊C4C2412yes—
1485C2×C22⋊C4C2412yes—
1486C2×C22⋊C4C2412yes—
1487C2×C22⋊C4C2412yes—
1488C2×C22⋊C4C2412yes—
1489C2×C22⋊C4C2412yes—
1490C2×C22⋊C4C2412yes—
1491C2×C22⋊C4C2412yes—
1492C2×C22⋊C4C2412yes—
1493C2×C22⋊C4C2412yes—
1494C2×C22⋊C4C2412yes—
1495C2×C22⋊C4C2412yes—
1496C2×C22⋊C4C2412yes—
1497C2×C22⋊C4C2412yes—
1498C2×C22⋊C4C2412yes—
1499C2×C22⋊C4C2411yescharacteristic
1500C2×C42—81no—
1501C2×C42—81no—
1502C2×C42C2412yes—
1503C2×C42C2412yes—
1504C2×C42C2412yes—
1505C2×C42C2412yes—
1506C2×C42C2411yescharacteristic
1507C2×C42C2411yescharacteristic
1508C2×C42C2412yes—
1509C2×C42C2412yes—
1510C2×C42C2411yescharacteristic
1511C2×C42C2412yes—
1512C2×C42C2412yes—
1513C2×C42C2412yes—
1514C2×C42C2412yes—
1515C2×C42C2412yes—
1516C2×C42C2412yes—
1517C2×C42C2412yes—
1518C2×C42C2412yes—
1519C2×C42C2412yes—
1520C2×C42C2412yes—
1521C2×C42C2412yes—
1522C2×C42C2411yescharacteristic
1523C2×C42C2412yes—
1524C2×C42C2412yes—
1525C2×C42C2411yescharacteristic
1526C2×C42C2411yescharacteristic
1527C2×C42C2412yes—
1528C2×C42C2412yes—
1529C2×C42C2411yescharacteristic
1530C2×C42C2411yescharacteristic
1531C2×C42C2411yescharacteristic
1532C2×C42C2412yes—
1533C2×C42C2411yescharacteristic
1534C2×C42C2412yes—
1535C2×C42C2411yescharacteristic
1536C2×C42C2411yescharacteristic
1537C2×C42C2412yes—
1538C2×C42C2411yescharacteristic
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—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2411yescharacteristic
1563#95C2411yescharacteristic
1564#95C2412yes—
1565#95C2412yes—
1566#95C2411yescharacteristic
1567#95C2411yescharacteristic
1568#95C2411yescharacteristic
1569#95C2411yescharacteristic
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616#95C2412yes—
1617#95C2412yes—
1618#95C2412yes—
1619#95C2412yes—
1620#95C2412yes—
1621#95C2412yes—
1622#95C2412yes—
1623#95C2412yes—
1624#95C2412yes—
1625#95C2412yes—
1626#95C2412yes—
1627#95C2412yes—
1628#95C2412yes—
1629#95C2412yes—
1630#95C2412yes—
1631#95C2412yes—
1632#95C2412yes—
1633C24C2511yescharacteristic
1634C24C2512yes—
1635C24C2512yes—
1636C24C2512yes—
1637C24C2512yes—
1638C24C2511yescharacteristic
1639#41—88no—
1640#41—88no—
1641#41—88no—
1642C2×Q8—24no—
1643C2×Q8—24no—
1644C2×Q8—22no—
1645C2×Q8—22no—
1646C2×Q8—22no—
1647C2×Q8—41no—
1648C2×Q8—41no—
1649C2×Q8—42no—
1650C2×Q8—41no—
1651C2×Q8—41no—
1652C2×Q8—41no—
1653C2×Q8—42no—
1654C2×Q8—42no—
1655C2×Q8—41no—
1656C2×Q8—41no—
1657C2×Q8—41no—
1658C2×Q8—42no—
1659C2×Q8—42no—
1660C2×Q8—42no—
1661C2×Q8—42no—
1662C2×Q8C2×#4114yes—
1663C2×D4—22no—
1664C2×D4—24no—
1665C2×D4—24no—
1666C2×D4—24no—
1667C2×D4—24no—
1668C2×D4—22no—
1669C2×D4—24no—
1670C2×D4—24no—
1671C2×D4—24no—
1672C2×D4—24no—
1673C2×D4—24no—
1674C2×D4—24no—
1675C2×D4—24no—
1676C2×D4—22no—
1677C2×D4—22no—
1678C2×D4—22no—
1679C2×D4—22no—
1680C2×D4—41no—
1681C2×D4—41no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—41no—
1687C2×D4—41no—
1688C2×D4—42no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—42no—
1693C2×D4—42no—
1694C2×D4—42no—
1695C2×D4—41no—
1696C2×D4—42no—
1697C2×D4—42no—
1698C2×D4—42no—
1699C2×D4—42no—
1700C2×D4—42no—
1701C2×D4—42no—
1702C2×D4—42no—
1703C2×D4—41no—
1704C2×D4—42no—
1705C2×D4—41no—
1706C2×D4—42no—
1707C2×D4—42no—
1708C2×D4—42no—
1709C2×D4—42no—
1710C2×D4—42no—
1711C2×D4—42no—
1712C2×D4—41no—
1713C2×D4—42no—
1714C2×D4—42no—
1715C2×D4—42no—
1716C2×D4—42no—
1717C2×D4—42no—
1718C2×D4—42no—
1719C2×D4—41no—
1720C2×D4—42no—
1721C2×D4—42no—
1722C2×D4—42no—
1723C2×D4—42no—
1724C2×D4—42no—
1725C2×D4—42no—
1726C2×D4—42no—
1727C2×D4—42no—
1728C2×D4—42no—
1729C2×D4—42no—
1730C2×D4—42no—
1731C2×D4—42no—
1732C2×D4—42no—
1733C2×D4—42no—
1734C2×D4—42no—
1735C2×D4—42no—
1736C2×D4—42no—
1737C2×D4—42no—
1738C22×C4—24no—
1739C22×C4—22no—
1740C22×C4—24no—
1741C22×C4—22no—
1742C22×C4—22no—
1743C22×C4—22no—
1744C22×C4—22no—
1745C22×C4—22no—
1746C22×C4—22no—
1747C22×C4—24no—
1748C22×C4—24no—
1749C22×C4—24no—
1750C22×C4—24no—
1751C22×C4—24no—
1752C22×C4—24no—
1753C22×C4—22no—
1754C22×C4—41no—
1755C22×C4—41no—
1756C22×C4—41no—
1757C22×C4—41no—
1758C22×C4—41no—
1759C22×C4—42no—
1760C22×C4—41no—
1761C22×C4—41no—
1762C22×C4—41no—
1763C22×C4—41no—
1764C22×C4—42no—
1765C22×C4—42no—
1766C22×C4—42no—
1767C22×C4—42no—
1768C22×C4—42no—
1769C22×C4—42no—
1770C22×C4—42no—
1771C22×C4—42no—
1772C22×C4—42no—
1773C22×C4—42no—
1774C22×C4—42no—
1775C22×C4—42no—
1776C22×C4—42no—
1777C22×C4—42no—
1778C22×C4—42no—
1779C22×C4—42no—
1780C22×C4—41no—
1781C22×C4—42no—
1782C22×C4—42no—
1783C22×C4—42no—
1784C22×C4—42no—
1785C22×C4—42no—
1786C22×C4—42no—
1787C22×C4—42no—
1788C22×C4—42no—
1789C22×C4—42no—
1790C22×C4—42no—
1791C22×C4—42no—
1792C22×C4—42no—
1793C22×C4—42no—
1794C22×C4—42no—
1795C22×C4—42no—
1796C22×C4—42no—
1797C22×C4—42no—
1798C22×C4C2511yescharacteristic
1799C22×C4C2512yes—
1800C22×C4C2512yes—
1801C22×C4C2511yescharacteristic
1802C22×C4C2511yescharacteristic
1803C22×C4C2512yes—
1804C22×C4C2512yes—
1805C22×C4C2511yescharacteristic
1806C22×C4C2512yes—
1807C22×C4C2512yes—
1808C22×C4C2512yes—
1809C22×C4C2512yes—
1810C22×C4C2512yes—
1811C22×C4C2512yes—
1812C22×C4C2511yescharacteristic
1813C22×C4C2512yes—
1814C22×C4C2512yes—
1815C22×C4C2512yes—
1816C22×C4C2512yes—
1817C22×C4C2512yes—
1818C22×C4C2512yes—
1819C22×C4C2511yescharacteristic
1820C22×C4C2512yes—
1821C22×C4C2512yes—
1822C22×C4C2511yescharacteristic
1823C22×C4C2512yes—
1824C22×C4C2511yescharacteristic
1825C22×C4C2512yes—
1826C22×C4C2511yescharacteristic
1827C22×C4C2511yescharacteristic
1828C22×C4C2511yescharacteristic
1829C22×C4C2511yescharacteristic
1830C22×C4C2511yescharacteristic
1831C4⋊C4—22no—
1832C4⋊C4—24no—
1833C4⋊C4—24no—
1834C4⋊C4—22no—
1835C4⋊C4—24no—
1836C4⋊C4—24no—
1837C4⋊C4—22no—
1838C4⋊C4—24no—
1839C4⋊C4—24no—
1840C4⋊C4—24no—
1841C4⋊C4—24no—
1842C4⋊C4—22no—
1843C4⋊C4—24no—
1844C4⋊C4—24no—
1845C4⋊C4—24no—
1846C4⋊C4—24no—
1847C4⋊C4—24no—
1848C4⋊C4—24no—
1849C4⋊C4—24no—
1850C4⋊C4—24no—
1851C4⋊C4—22no—
1852C4⋊C4—24no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—41no—
1860C4⋊C4—41no—
1861C4⋊C4—42no—
1862C4⋊C4—41no—
1863C4⋊C4—42no—
1864C4⋊C4—42no—
1865C4⋊C4—42no—
1866C4⋊C4—41no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—41no—
1870C4⋊C4—41no—
1871C4⋊C4—42no—
1872C4⋊C4—42no—
1873C4⋊C4—41no—
1874C4⋊C4—41no—
1875C4⋊C4—41no—
1876C4⋊C4—41no—
1877C4⋊C4—42no—
1878C4⋊C4—41no—
1879C4⋊C4—42no—
1880C4⋊C4—42no—
1881C4⋊C4—42no—
1882C4⋊C4—42no—
1883C4⋊C4—42no—
1884C4⋊C4—41no—
1885C4⋊C4—42no—
1886C4⋊C4—42no—
1887C4⋊C4—42no—
1888C4⋊C4—42no—
1889C4⋊C4—42no—
1890C4⋊C4—42no—
1891C4⋊C4—42no—
1892C4⋊C4—42no—
1893C4⋊C4—42no—
1894C4⋊C4—42no—
1895C4⋊C4—42no—
1896C4⋊C4—42no—
1897C4⋊C4—42no—
1898C4⋊C4—42no—
1899C4⋊C4—42no—
1900C4⋊C4—42no—
1901C4⋊C4—41no—
1902C4⋊C4—42no—
1903C4⋊C4—42no—
1904C4⋊C4—42no—
1905C4⋊C4C2×#4114yes—
1906C4⋊C4C2×#4118yes—
1907C22⋊C4—24no—
1908C22⋊C4—24no—
1909C22⋊C4—24no—
1910C22⋊C4—22no—
1911C22⋊C4—24no—
1912C22⋊C4—24no—
1913C22⋊C4—24no—
1914C22⋊C4—24no—
1915C22⋊C4—24no—
1916C22⋊C4—24no—
1917C22⋊C4—24no—
1918C22⋊C4—24no—
1919C22⋊C4—24no—
1920C22⋊C4—24no—
1921C22⋊C4—22no—
1922C22⋊C4—24no—
1923C22⋊C4—24no—
1924C22⋊C4—24no—
1925C22⋊C4—24no—
1926C22⋊C4—24no—
1927C22⋊C4—24no—
1928C22⋊C4—24no—
1929C22⋊C4—24no—
1930C22⋊C4—22no—
1931C22⋊C4—24no—
1932C22⋊C4—24no—
1933C22⋊C4—24no—
1934C22⋊C4—24no—
1935C22⋊C4—24no—
1936C22⋊C4—42no—
1937C22⋊C4—42no—
1938C22⋊C4—42no—
1939C22⋊C4—42no—
1940C22⋊C4—42no—
1941C22⋊C4—42no—
1942C22⋊C4—42no—
1943C22⋊C4—42no—
1944C22⋊C4—42no—
1945C22⋊C4—42no—
1946C22⋊C4—42no—
1947C22⋊C4—42no—
1948C22⋊C4—41no—
1949C22⋊C4—41no—
1950C22⋊C4—42no—
1951C22⋊C4—42no—
1952C22⋊C4—42no—
1953C22⋊C4—42no—
1954C22⋊C4—42no—
1955C22⋊C4—42no—
1956C22⋊C4—42no—
1957C22⋊C4—42no—
1958C22⋊C4—42no—
1959C22⋊C4—42no—
1960C22⋊C4—42no—
1961C22⋊C4—42no—
1962C22⋊C4—42no—
1963C22⋊C4—42no—
1964C22⋊C4—42no—
1965C22⋊C4—42no—
1966C22⋊C4—42no—
1967C22⋊C4—42no—
1968C22⋊C4—42no—
1969C22⋊C4—42no—
1970C22⋊C4—42no—
1971C22⋊C4—42no—
1972C22⋊C4—42no—
1973C22⋊C4—42no—
1974C22⋊C4—42no—
1975C22⋊C4—42no—
1976C22⋊C4—42no—
1977C22⋊C4—42no—
1978C22⋊C4—42no—
1979C22⋊C4—42no—
1980C22⋊C4—42no—
1981C22⋊C4—42no—
1982C22⋊C4—42no—
1983C22⋊C4—42no—
1984C22⋊C4—42no—
1985C22⋊C4—42no—
1986C22⋊C4—42no—
1987C22⋊C4—42no—
1988C22⋊C4—42no—
1989C22⋊C4—42no—
1990C22⋊C4—42no—
1991C22⋊C4—42no—
1992C22⋊C4—42no—
1993C22⋊C4—42no—
1994C22⋊C4—42no—
1995C22⋊C4—42no—
1996C22⋊C4—42no—
1997C22⋊C4—42no—
1998C22⋊C4—42no—
1999C22⋊C4—42no—
2000C22⋊C4—42no—
2001C22⋊C4—42no—
2002C22⋊C4H(5,𝔽2)14yes—
2003C42—24no—
2004C42—24no—
2005C42—24no—
2006C42—24no—
2007C42—24no—
2008C42—24no—
2009C42—22no—
2010C42—22no—
2011C42—22no—
2012C42—41no—
2013C42—41no—
2014C42—41no—
2015C42—41no—
2016C42—41no—
2017C42—41no—
2018C42—41no—
2019C42—41no—
2020C42—42no—
2021C42—42no—
2022C42—42no—
2023C42—42no—
2024C42—42no—
2025C42—42no—
2026C42—42no—
2027C42—42no—
2028C42—42no—
2029C42—42no—
2030C42—42no—
2031C42—42no—
2032C42—42no—
2033C42—42no—
2034C42—42no—
2035C42—42no—
2036C42—42no—
2037C42—41no—
2038C42C2×#4118yes—
2039C42C2×#4114yes—
2040C23—21no—
2041C23—21no—
2042C23—21no—
2043C23—21no—
2044C23—21no—
2045C23—21no—
2046C23—21no—
2047C23—22no—
2048C23—22no—
2049C23—22no—
2050C23—22no—
2051C23—22no—
2052C23—21no—
2053C23—22no—
2054C23—22no—
2055C23—22no—
2056C23—22no—
2057C23—22no—
2058C23—22no—
2059C23—22no—
2060C23—22no—
2061C23—21no—
2062C23—22no—
2063C23—21no—
2064C23—22no—
2065C23—22no—
2066C23—22no—
2067C23—22no—
2068C23—22no—
2069C23—21no—
2070C23—22no—
2071C23—22no—
2072C23—21no—
2073C23—22no—
2074C23—22no—
2075C23—22no—
2076C23—22no—
2077C23—22no—
2078C23—21no—
2079C23—22no—
2080C23—22no—
2081C23C2×H(5,𝔽2)12yes—
2082C23C2611yescharacteristic
2083Q8—44no—
2084Q8—84no—
2085Q8—84no—
2086Q8—82no—
2087Q8—82no—
2088Q8—82no—
2089Q8—162no—
2090D4—44no—
2091D4—48no—
2092D4—48no—
2093D4—44no—
2094D4—84no—
2095D4—84no—
2096D4—84no—
2097D4—84no—
2098D4—84no—
2099D4—82no—
2100D4—82no—
2101D4—82no—
2102D4—84no—
2103D4—84no—
2104D4—84no—
2105D4—84no—
2106D4—84no—
2107D4—84no—
2108D4—84no—
2109D4—84no—
2110D4—84no—
2111D4—84no—
2112D4—162no—
2113D4—162no—
2114D4—162no—
2115C2×C4—21no—
2116C2×C4—21no—
2117C2×C4—22no—
2118C2×C4—21no—
2119C2×C4—21no—
2120C2×C4—21no—
2121C2×C4—22no—
2122C2×C4—21no—
2123C2×C4—21no—
2124C2×C4—22no—
2125C2×C4—21no—
2126C2×C4—21no—
2127C2×C4—21no—
2128C2×C4—21no—
2129C2×C4—21no—
2130C2×C4—21no—
2131C2×C4—22no—
2132C2×C4—21no—
2133C2×C4—21no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—22no—
2138C2×C4—22no—
2139C2×C4—22no—
2140C2×C4—21no—
2141C2×C4—22no—
2142C2×C4—22no—
2143C2×C4—22no—
2144C2×C4—22no—
2145C2×C4—22no—
2146C2×C4—22no—
2147C2×C4—22no—
2148C2×C4—21no—
2149C2×C4—22no—
2150C2×C4—22no—
2151C2×C4—22no—
2152C2×C4—22no—
2153C2×C4—21no—
2154C2×C4—21no—
2155C2×C4—22no—
2156C2×C4—22no—
2157C2×C4—22no—
2158C2×C4—22no—
2159C2×C4—22no—
2160C2×C4—22no—
2161C2×C4—22no—
2162C2×C4—22no—
2163C2×C4—21no—
2164C2×C4—22no—
2165C2×C4—22no—
2166C2×C4—22no—
2167C2×C4—21no—
2168C2×C4—22no—
2169C2×C4—21no—
2170C2×C4—22no—
2171C2×C4—22no—
2172C2×C4—22no—
2173C2×C4—21no—
2174C2×C4—21no—
2175C2×C4—22no—
2176C2×C4—22no—
2177C2×C4—21no—
2178C2×C4—21no—
2179C2×C4—22no—
2180C2×C4—22no—
2181C2×C4—21no—
2182C2×C4—21no—
2183C2×C4—21no—
2184C2×C4—22no—
2185C2×C4—22no—
2186C2×C4—22no—
2187C2×C4—22no—
2188C2×C4—22no—
2189C2×C4—22no—
2190C2×C4—22no—
2191C2×C4—22no—
2192C2×C4—22no—
2193C2×C4—22no—
2194C2×C4—22no—
2195C2×C4—22no—
2196C2×C4—22no—
2197C2×C4—22no—
2198C2×C4—22no—
2199C2×C4—21no—
2200C2×C4—21no—
2201C2×C4—21no—
2202C2×C4—22no—
2203C2×C4—22no—
2204C2×C4—22no—
2205C2×C4—44no—
2206C2×C4—48no—
2207C2×C4—44no—
2208C2×C4—44no—
2209C2×C4—44no—
2210C2×C4—44no—
2211C2×C4—84no—
2212C2×C4—84no—
2213C2×C4—84no—
2214C2×C4—84no—
2215C2×C4—82no—
2216C2×C4—84no—
2217C2×C4—84no—
2218C2×C4—84no—
2219C2×C4—84no—
2220C2×C4—84no—
2221C2×C4—162no—
2222C2×C4—162no—
2223C2×C4—162no—
2224C2×C4—162no—
2225C2×C4C22×#4114yes—
2226C2×C4C22×#4114yes—
2227C2×C4C22×#4112yes—
2228C2×C4C22×#4112yes—
2229C2×C4C22×#4112yes—
2230C2×C4C2×H(5,𝔽2)12yes—
2231C2×C4C2×H(5,𝔽2)12yes—
2232C2×C4#58512yes—
2233C2×C4#58512yes—
2234C22—22no—
2235C22—22no—
2236C22—22no—
2237C22—41no—
2238C22—41no—
2239C22—41no—
2240C22—41no—
2241C22—42no—
2242C22—42no—
2243C22—42no—
2244C22—42no—
2245C22—41no—
2246C22—42no—
2247C22—42no—
2248C22—42no—
2249C22—42no—
2250C22—41no—
2251C22—42no—
2252C22—42no—
2253C22—42no—
2254C22—42no—
2255C22—41no—
2256C22—41no—
2257C22—42no—
2258C22—42no—
2259C22—42no—
2260C22—42no—
2261C22—41no—
2262C22—42no—
2263C22—42no—
2264C22—42no—
2265C22—42no—
2266C22—41no—
2267C22—42no—
2268C22—42no—
2269C22—42no—
2270C22—42no—
2271C22—41no—
2272C22—42no—
2273C22—42no—
2274C22—42no—
2275C22—42no—
2276C22C23×#4111yescharacteristic
2277C22C22×H(5,𝔽2)11yescharacteristic
2278C22C2×#58511yescharacteristic
2279C22C2×#58511yescharacteristic
2280C22H(7,𝔽2)11yescharacteristic
2281C22H(7,𝔽2)11yescharacteristic
2282C222−1+611yescharacteristic
2283C4—22no—
2284C4—22no—
2285C4—24no—
2286C4—22no—
2287C4—22no—
2288C4—24no—
2289C4—22no—
2290C4—22no—
2291C4—22no—
2292C4—42no—
2293C4—42no—
2294C4—42no—
2295C4—42no—
2296C4—42no—
2297C4—42no—
2298C4—42no—
2299C4—42no—
2300C4—42no—
2301C4—42no—
2302C4—41no—
2303C4—41no—
2304C4—41no—
2305C4—41no—
2306C4—42no—
2307C4—42no—
2308C4—42no—
2309C4—41no—
2310C4—42no—
2311C4—42no—
2312C4—42no—
2313C4—42no—
2314C4—42no—
2315C4—41no—
2316C2—42no—
2317C2—82no—
2318C2—82no—
2319C2—82no—
2320C2—82no—
2321C2—81no—
2322C2#6280011yescharacteristic
2323C2#6284511yescharacteristic
2324C2#6286711yescharacteristic
2325C2#6289611yescharacteristic
2326C2#6293611yescharacteristic
2327C2#6300611yescharacteristic
2328C2#6304911yescharacteristic
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. #60044C2semidirect
2. #59834C2semidirect
3. #52280C2semidirect
4. #51929C2semidirect
5. #51914C2semidirect
6. #51095C2semidirect
7. #50672C2semidirect
8. #50544C2semidirect
9. #48723C2semidirect
10. #47708C2semidirect
11. #47328C2semidirect
12. #46090C2semidirect
13. #46013C2semidirect
14. #44399C2semidirect
15. #44067C2semidirect
16. #43547C2semidirect
17. #43455C2semidirect
18. #43112C2semidirect
19. #42144C2semidirect
20. #41987C2semidirect
21. #41753C2semidirect
22. #41009C2semidirect
23. #39739C2semidirect
24. #39573C2semidirect
25. #39322C2semidirect
26. #38820C2semidirect
27. #38820C2semidirect
28. #38761C2semidirect
29. #38710C2semidirect
30. #38585C2semidirect
31. #38487C2semidirect
32. #37219C2semidirect
33. #37195C2semidirect
34. #36415C2semidirect
35. #35830C2semidirect
36. #35477C2semidirect
37. #35044C2semidirect
38. #34500C2semidirect
39. #34314C2semidirect
1287. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600442
#598342
#522802
#519292
#519142
#510952
#506722
#505442
#487232
#477082
#473282
#460902
#460132
#443992
#440672
#435472
#434552
#431122
#421442
#419872
#417532
#410092
#397392
#395732
#393222
#388202
#387612
#387102
#385852
#384872
#372192
#371952
#364152
#358302
#354772
#350442
#345002
#343142