Finite Group Databasebeta

← #8908522

Subgroups — #8908522

Order 512.

4338 conjugacy classes of subgroups.

The subgroup lattice has 2110 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59622C212yesmaximal, complemented
2#59249C211yesmaximal, characteristic, complemented
3#57914C212yesmaximal, complemented
4#57673C212yesmaximal, complemented
5#56718C212yesmaximal, complemented
6#56076C212yesmaximal, complemented
7#54825C212yesmaximal, complemented
8#53405C212yesmaximal, complemented
9#52060C212yesmaximal, complemented
10#51647C212yesmaximal, complemented
11#51550C212yesmaximal, complemented
12#50165C212yesmaximal
13#49539C212yesmaximal, complemented
14#49404C212yesmaximal, complemented
15#49006C212yesmaximal, complemented
16#48968C212yesmaximal, complemented
17#48793C212yesmaximal, complemented
18#48612C212yesmaximal, complemented
19#48540C212yesmaximal, complemented
20#47899C212yesmaximal, complemented
21#47336C212yesmaximal, complemented
22#47335C212yesmaximal, complemented
23#46680C212yesmaximal, complemented
24#46234C211yesmaximal, characteristic, complemented
25#46192C212yesmaximal, complemented
26#40262C212yesmaximal, complemented
27#39540C211yesmaximal, characteristic, complemented
28#39540C211yesmaximal, characteristic, complemented
29#39229C212yesmaximal, complemented
30#38913C212yesmaximal, complemented
31#38800C211yesmaximal, characteristic, complemented
32#38782C211yesmaximal, characteristic, complemented
33#38046C212yesmaximal, complemented
34#35541C211yesmaximal, characteristic
35#35452C212yesmaximal, complemented
36C2×#551C2212yes—
37C2×#535C2211yescharacteristic
38C22×#126C2212yes—
39C2×#518C2211yescharacteristic
40#2855C2212yescomplemented
41#2853C2212yescomplemented
42#2851C2211yescharacteristic
43#2851C2211yescharacteristic
44#2845C2211yescharacteristic, complemented
45#2841C2212yescomplemented
46#2839C2212yescomplemented
47#2837C2212yescomplemented
48#2837C2212yescomplemented
49#2836C2212yescomplemented
50#2831C2212yescomplemented
51#2827C2212yescomplemented
52#2822C2211yescharacteristic, complemented
53#2808C2211yescharacteristic, complemented
54#2806C2211yescharacteristic, complemented
55#2806C2211yescharacteristic, complemented
56#2805C2211yescharacteristic, complemented
57#2802C2212yescomplemented
58#2802C2212yescomplemented
59#2802C2212yescomplemented
60#2800C2212yescomplemented
61#2796C2212yes—
62#2795C2212yescomplemented
63#2795C2212yescomplemented
64#2793C2212yescomplemented
65#2793C2212yescomplemented
66#2791C2212yescomplemented
67#2791C2212yescomplemented
68#2791C2212yescomplemented
69#2791C2212yescomplemented
70#2790C2212yescomplemented
71#2789C2212yescomplemented
72#2788C2212yescomplemented
73#2787C2212yes—
74#2787C2212yescomplemented
75#2787C2212yescomplemented
76#2786C2212yescomplemented
77#2786C2212yescomplemented
78#2783C2212yescomplemented
79#2780C2212yescomplemented
80#2779C2212yescomplemented
81#2777C2212yescomplemented
82#2776C2212yescomplemented
83#2776C2212yescomplemented
84#2775C2212yescomplemented
85#2773C2212yescomplemented
86#2772C2212yescomplemented
87#2770C2212yes—
88#2768C2212yescomplemented
89#2768C2212yescomplemented
90#2768C2212yescomplemented
91#2767C2212yescomplemented
92#2767C2212yescomplemented
93#2765C2212yescomplemented
94#2765C2212yescomplemented
95#2765C2212yescomplemented
96#2765C2212yescomplemented
97#2761C2212yes—
98#2761C2212yes—
99#2761C2212yescomplemented
100#2761C2212yescomplemented
101#2759C2212yescomplemented
102#2751C2212yes—
103#2751C2212yes—
104#2750C2212yescomplemented
105#2750C2212yescomplemented
106#2748C2212yescomplemented
107#2747C2212yes—
108#2747C2212yes—
109#2746C2212yes—
110#2745C2212yescomplemented
111#2744C2212yescomplemented
112#2744C2212yescomplemented
113#2744C2212yescomplemented
114#2743C2212yescomplemented
115#2743C2212yescomplemented
116#2742C2212yescomplemented
117#2740C2212yescomplemented
118#2740C2212yescomplemented
119#2740C2212yescomplemented
120#2739C2212yescomplemented
121#2739C2212yescomplemented
122#2739C2212yescomplemented
123#2738C2212yescomplemented
124#2734C2211yescharacteristic, complemented
125#2732C2211yescharacteristic, complemented
126#2728C2212yes—
127#2727C2212yescomplemented
128#2727C2211yescharacteristic, complemented
129#2726C2212yescomplemented
130#2724C2211yescharacteristic, complemented
131#2723C2212yes—
132#2722C2212yes—
133#2722C2212yes—
134#2722C2212yes—
135#2722C2212yes—
136#2718C2212yescomplemented
137#2718C2212yescomplemented
138#2718C2212yescomplemented
139#2718C2212yescomplemented
140#2718C2212yescomplemented
141#2718C2212yescomplemented
142#2715C2212yes—
143#2715C2212yes—
144#2713C2212yescomplemented
145#2709C2212yes—
146#2709C2212yes—
147#2707C2212yes—
148#2707C2212yes—
149#2702C2212yescomplemented
150#2701C2212yes—
151#2701C2212yes—
152#2698C2212yescomplemented
153#2698C2212yescomplemented
154#2697C2212yes—
155#2695C2212yes—
156#2695C2212yes—
157#2694C2212yes—
158#2694C2212yes—
159#2694C2212yescomplemented
160#2694C2212yescomplemented
161#2694C2212yescomplemented
162#2689C2212yescomplemented
163#2689C2212yescomplemented
164#2687C2212yescomplemented
165#2687C2212yescomplemented
166#2685C2212yes—
167#2685C2212yes—
168#2684C2212yes—
169#2681C2212yes—
170#2681C2212yes—
171#2674C2212yes—
172#2674C2212yes—
173#2667C2212yescomplemented
174#2666C2212yescomplemented
175#2664C2212yescomplemented
176#2654C2212yescomplemented
177#2653C2212yescomplemented
178#2651C2212yescomplemented
179#2651C2212yescomplemented
180#2651C2212yescomplemented
181#2650C2212yescomplemented
182#2649C2212yescomplemented
183#2637C2212yescomplemented
184#2627C2212yescomplemented
185#2627C2212yescomplemented
186#2626C2211yescharacteristic
187#2626C2211yescharacteristic
188#2626C2211yescharacteristic
189#2626C2211yescharacteristic
190#2623C2212yescomplemented
191#2622C2212yes—
192#2622C2212yes—
193#2611C2212yescomplemented
194#2608C2212yescomplemented
195#2606C2212yescomplemented
196#2601C2212yes—
197#2601C2212yes—
198#2599C2212yescomplemented
199#2597C2212yescomplemented
200#2595C2212yes—
201#2595C2212yescomplemented
202#2594C2212yescomplemented
203#2590C2212yescomplemented
204#2590C2212yescomplemented
205#2590C2212yescomplemented
206#2589C2212yescomplemented
207#2589C2212yescomplemented
208#2588C2212yescomplemented
209#2585C2212yescomplemented
210#2585C2212yescomplemented
211#2585C2212yescomplemented
212#2585C2212yescomplemented
213#2583C2212yescomplemented
214#2582C2211yescharacteristic, complemented
215#2579C2212yes—
216#2579C2212yes—
217#2579C2212yescomplemented
218#2578C2212yes—
219#2578C2212yescomplemented
220#2577C2212yes—
221#2576C2212yes—
222#2576C2212yescomplemented
223#2575C2212yescomplemented
224#2575C2212yescomplemented
225#2575C2212yescomplemented
226#2575C2212yescomplemented
227#2573C2212yescomplemented
228#2572C2212yescomplemented
229#2558C2212yes—
230#2558C2212yes—
231#2558C2212yescomplemented
232#2556C2212yescomplemented
233#2553C2212yes—
234#2553C2212yes—
235#2553C2212yescomplemented
236#2553C2212yescomplemented
237#2552C2211yescharacteristic, complemented
238#2550C2212yescomplemented
239#2531C2212yes—
240#2530C2212yes—
241#2529C2212yescomplemented
242#2527C2212yescomplemented
243#2527C2212yescomplemented
244#2527C2212yescomplemented
245#2526C2212yescomplemented
246#2526C2212yescomplemented
247#2521C2212yes—
248#2521C2212yes—
249#2518C2212yescomplemented
250#2517C2212yescomplemented
251#2516C2212yescomplemented
252#2516C2212yescomplemented
253#2515C2212yescomplemented
254#2515C2212yescomplemented
255#2511C2212yescomplemented
256#2509C2212yescomplemented
257#2507C2212yescomplemented
258#2502C2212yescomplemented
259#2496C2212yes—
260#2496C2212yes—
261#2496C2212yes—
262#2496C2212yes—
263#2489C2212yes—
264#2487C2212yescomplemented
265#2486C2212yes—
266#2486C2212yes—
267#2484C2212yescomplemented
268#2484C2212yescomplemented
269#2483C2212yes—
270#2483C2212yes—
271#2480C2212yes—
272#2480C2212yes—
273#2480C2212yes—
274#2480C2212yes—
275#2480C2212yes—
276#2480C2212yes—
277#2479C2212yes—
278#2479C2212yes—
279#2479C2212yescomplemented
280#2478C2212yes—
281#2478C2212yes—
282#2478C2212yes—
283#2478C2212yes—
284#2478C2212yes—
285#2478C2212yes—
286#2478C2212yescomplemented
287#2478C2212yescomplemented
288#2478C2212yescomplemented
289#2478C2212yescomplemented
290#2477C2212yescomplemented
291#2476C2212yes—
292#2476C2212yes—
293#2474C2212yes—
294#2474C2212yes—
295#2473C2212yes—
296#2473C2212yes—
297#2473C2212yescomplemented
298#2468C2212yes—
299#2468C2212yes—
300#2468C2212yes—
301#2468C2212yes—
302#2468C2212yescomplemented
303#2468C2212yescomplemented
304#2466C2212yes—
305#2466C2212yes—
306#2466C2212yes—
307#2466C2212yes—
308#2466C2212yescomplemented
309#2466C2212yescomplemented
310#2465C2212yescomplemented
311#2458C2212yes—
312#2458C2212yes—
313#2458C2212yescomplemented
314#2458C2212yescomplemented
315#2447C2212yes—
316#2447C2212yes—
317#2445C2212yes—
318#2445C2212yes—
319#2445C2212yes—
320#2445C2212yes—
321#2443C2212yes—
322#2443C2212yes—
323#2432C2212yes—
324#2422C2212yes—
325#2422C2212yes—
326#2421C2212yes—
327#2420C2212yes—
328#2420C2212yes—
329#2413C2212yescomplemented
330#2413C2212yescomplemented
331#2412C2212yes—
332#2412C2212yes—
333#2412C2212yes—
334#2412C2212yes—
335#2406C2212yes—
336#2405C2212yes—
337#2405C2212yes—
338#2383C2212yescomplemented
339#2382C2211yescharacteristic, complemented
340#2382C2211yescharacteristic, complemented
341#2378C2212yescomplemented
342#2376C2212yescomplemented
343#2375C2212yes—
344#2374C2212yescomplemented
345#2373C2212yescomplemented
346#2373C2212yescomplemented
347#2370C2212yescomplemented
348#2360C2212yescomplemented
349#2355C2212yescomplemented
350#2355C2211yescharacteristic, complemented
351Q8×C4⋊C4C2211yescharacteristic, complemented
352#2345C2212yescomplemented
353#2342C2212yes—
354#2342C2212yes—
355#2336C2212yescomplemented
356#2335C2212yescomplemented
357#2331C2212yescomplemented
358#2330C2212yescomplemented
359#2322C2212yes—
360#2322C2212yes—
361#2322C2212yescomplemented
362#2317C2212yescomplemented
363#2316C2211yescharacteristic
364#2315C2211yescharacteristic
365#2315C2211yescharacteristic
366#2312C2212yes—
367#2312C2211yescharacteristic
368#2312C2211yescharacteristic
369#2311C2211yescharacteristic
370C4×C22⋊Q8C2211yescharacteristic
371C4×C22⋊Q8C2211yescharacteristic
372C4×#123C2212yes—
373C4×#123C2212yes—
374C4×#123C2212yescomplemented
375#2297C2211yescharacteristic
376#2296C2212yescomplemented
377C2×#390C2211yescharacteristic
378#2285C2211yescharacteristic
379C22×#41C2311yescharacteristic
380C23×D4C2311yescharacteristic
381#551—48no—
382#535—44no—
383C2×C4⋊Q8C2312yes—
384C2×#127C2312yes—
385C2×#126—48no—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#125C2311yescharacteristic
400C2×#125C2311yescharacteristic
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#120C2312yes—
427C2×#120C2312yes—
428#518—44no—
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×#117C2311yescharacteristic
439C2×#117C2311yescharacteristic
440C2×#117C2311yescharacteristic
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C22⋊C4C2312yes—
451C22×C22⋊C4C2312yes—
452C22×C22⋊C4C2312yes—
453C22×C22⋊C4C2311yescharacteristic
454C22×C22⋊C4C2311yescharacteristic
455C22×C22⋊C4C2311yescharacteristic
456C22×C22⋊C4C2311yescharacteristic
457C22×C22⋊C4C2312yes—
458C22×C42C2311yescharacteristic
459C22×C42C2312yes—
460#401C2312yes—
461#401C2312yes—
462#401C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#399C2312yes—
496#399C2312yes—
497#399C2312yes—
498#399C2312yes—
499#399C2312yes—
500#399C2312yes—
501#399C2312yes—
502#399C2312yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#398C2312yes—
509#398C2312yes—
510#398C2312yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
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#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
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#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
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#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
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#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2311yescharacteristic
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2311yescharacteristic
687#391C2312yes—
688#391C2311yescharacteristic
689#391C2311yescharacteristic
690#390C2312yes—
691#390C2311yescharacteristic
692#390C2312yes—
693#390C2312yes—
694#390C2312yes—
695#390C2312yes—
696#390C2312yes—
697#390C2312yes—
698#390C2312yes—
699#390C2311yescharacteristic
700#390C2312yes—
701#390C2312yes—
702#390C2312yes—
703#390C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2311yescharacteristic
726#389C2311yescharacteristic
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2311yescharacteristic
735#389C2311yescharacteristic
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2311yescharacteristic
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2311yescharacteristic
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
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#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
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#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#385C2312yes—
941#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
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#384C2312yes—
993#384C2312yes—
994#384C2311yescharacteristic
995#384C2312yes—
996#384C2311yescharacteristic
997#384C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#383C2312yes—
1001#382C2311yescharacteristic
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2311yescharacteristic
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2311yescharacteristic
1010#382C2312yes—
1011#382C2311yescharacteristic
1012#381C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2311yescharacteristic
1032#380C2311yescharacteristic
1033#380C2311yescharacteristic
1034#380C2312yes—
1035#380C2312yes—
1036#380C2311yescharacteristic
1037#380C2311yescharacteristic
1038#380C2311yescharacteristic
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#379C2312yes—
1055#379C2312yes—
1056#379C2312yes—
1057#379C2312yes—
1058#379C2312yes—
1059#379C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
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×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100#376C2312yes—
1101#376C2312yes—
1102C25C2411yescharacteristic
1103C25C2411yescharacteristic
1104C2×#41—42no—
1105C2×#41—42no—
1106C2×#41—42no—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2412yes—
1111C22×D4—24no—
1112C22×D4—42no—
1113C22×D4—42no—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2411yescharacteristic
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C23×C4C2411yescharacteristic
1123C23×C4C2411yescharacteristic
1124C23×C4C2411yescharacteristic
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2411yescharacteristic
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C4⋊Q8—44no—
1139#127—44no—
1140#126—44no—
1141#126—44no—
1142#126—44no—
1143#126—44no—
1144#126—44no—
1145#126—44no—
1146#126—44no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#126—44no—
1151#126—44no—
1152#126—44no—
1153#125—42no—
1154#125—42no—
1155#125—44no—
1156#125—44no—
1157#125—44no—
1158#124—44no—
1159#124—44no—
1160#123—44no—
1161#123—44no—
1162#123—44no—
1163#123—44no—
1164#123—44no—
1165#123—44no—
1166#123—44no—
1167#123—44no—
1168#123—44no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—42no—
1177C22⋊Q8—42no—
1178#121—44no—
1179#121—44no—
1180#120—28no—
1181#120—44no—
1182C4×Q8—42no—
1183C4×Q8—42no—
1184C4×Q8—44no—
1185C4×D4—44no—
1186C4×D4—44no—
1187C4×D4—44no—
1188C4×D4—44no—
1189C4×D4—44no—
1190C4×D4—44no—
1191#117—44no—
1192#117—44no—
1193#117—42no—
1194#117—42no—
1195#117—42no—
1196#117—44no—
1197#117—44no—
1198C2×C4⋊C4—44no—
1199C2×C4⋊C4—42no—
1200C2×C4⋊C4—44no—
1201C2×C4⋊C4—44no—
1202C2×C4⋊C4—44no—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2411yescharacteristic
1212C2×C4⋊C4C2411yescharacteristic
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C4⋊C4C2411yescharacteristic
1235C2×C4⋊C4C2411yescharacteristic
1236C2×C4⋊C4C2411yescharacteristic
1237C2×C4⋊C4C2411yescharacteristic
1238C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2411yescharacteristic
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C22⋊C4—28no—
1303C2×C22⋊C4—28no—
1304C2×C22⋊C4—28no—
1305C2×C22⋊C4—42no—
1306C2×C22⋊C4—42no—
1307C2×C22⋊C4—42no—
1308C2×C22⋊C4—42no—
1309C2×C22⋊C4—44no—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
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×C42—42no—
1388C2×C42—44no—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2411yescharacteristic
1392C2×C42C2411yescharacteristic
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2411yescharacteristic
1417C2×C42C2411yescharacteristic
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
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#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
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—
1526C24—22no—
1527C24—41no—
1528C24—41no—
1529C24—41no—
1530C24—41no—
1531C24—41no—
1532C24—41no—
1533C24—41no—
1534C24—41no—
1535C24—41no—
1536C24—41no—
1537C24—41no—
1538C24—41no—
1539C24H(5,𝔽2)14yes—
1540C24C2512yes—
1541C24C2512yes—
1542C24C2511yescharacteristic
1543C24C2512yes—
1544#41—88no—
1545C2×Q8—22no—
1546C2×Q8—22no—
1547C2×Q8—22no—
1548C2×Q8—41no—
1549C2×Q8—41no—
1550C2×Q8—41no—
1551C2×Q8—41no—
1552C2×Q8—41no—
1553C2×Q8—41no—
1554C2×Q8—42no—
1555C2×Q8—42no—
1556C2×Q8—42no—
1557C2×D4—24no—
1558C2×D4—24no—
1559C2×D4—24no—
1560C2×D4—24no—
1561C2×D4—24no—
1562C2×D4—24no—
1563C2×D4—24no—
1564C2×D4—22no—
1565C2×D4—42no—
1566C2×D4—42no—
1567C2×D4—416no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—41no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—41no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—42no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C22×C4—22no—
1583C22×C4—22no—
1584C22×C4—22no—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—24no—
1588C22×C4—24no—
1589C22×C4—24no—
1590C22×C4—24no—
1591C22×C4—22no—
1592C22×C4—22no—
1593C22×C4—24no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—41no—
1599C22×C4—41no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—41no—
1610C22×C4—41no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—41no—
1618C22×C4—41no—
1619C22×C4—41no—
1620C22×C4—41no—
1621C22×C4—42no—
1622C22×C4—41no—
1623C22×C4—41no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2511yescharacteristic
1635C22×C4C2511yescharacteristic
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2511yescharacteristic
1658C22×C4C2511yescharacteristic
1659C22×C4C2511yescharacteristic
1660C22×C4C2511yescharacteristic
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—22no—
1670C4⋊C4—22no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—41no—
1694C4⋊C4—41no—
1695C4⋊C4—41no—
1696C4⋊C4—41no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—41no—
1707C4⋊C4—41no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—41no—
1711C4⋊C4—41no—
1712C4⋊C4—41no—
1713C4⋊C4—41no—
1714C4⋊C4—41no—
1715C4⋊C4—41no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—41no—
1723C4⋊C4—41no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
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—41no—
1740C4⋊C4—42no—
1741C4⋊C4—41no—
1742C4⋊C4—42no—
1743C4⋊C4—41no—
1744C4⋊C4—41no—
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—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
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⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
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—
1837C42—22no—
1838C42—22no—
1839C42—24no—
1840C42—24no—
1841C42—41no—
1842C42—41no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C42—42no—
1852C42—42no—
1853C42—42no—
1854C42—42no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—42no—
1861C42—42no—
1862C42—42no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C23—22no—
1867C23—22no—
1868C23—21no—
1869C23—21no—
1870C23—22no—
1871C23—22no—
1872C23—21no—
1873C23—21no—
1874C23—21no—
1875C23—21no—
1876C23—22no—
1877C23—22no—
1878C23—22no—
1879C23—22no—
1880C23—22no—
1881C23—22no—
1882C23—22no—
1883C23—22no—
1884C23—22no—
1885C23—22no—
1886C23—22no—
1887C23—22no—
1888C23—22no—
1889C23—22no—
1890C23—22no—
1891C23—22no—
1892C23—44no—
1893C23—44no—
1894C23—44no—
1895C23—44no—
1896C23—82no—
1897C23—82no—
1898C23—161no—
1899C23—161no—
1900C23—161no—
1901C23—161no—
1902C23—161no—
1903C23—161no—
1904C23—161no—
1905C23—161no—
1906C23C2×H(5,𝔽2)12yes—
1907C23C2×H(5,𝔽2)14yes—
1908C23C2611yescharacteristic
1909Q8—44no—
1910Q8—82no—
1911Q8—82no—
1912Q8—162no—
1913D4—48no—
1914D4—48no—
1915D4—82no—
1916D4—84no—
1917D4—84no—
1918D4—84no—
1919D4—162no—
1920D4—162no—
1921C2×C4—28no—
1922C2×C4—21no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—21no—
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—22no—
1947C2×C4—22no—
1948C2×C4—21no—
1949C2×C4—21no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
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—21no—
1977C2×C4—21no—
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—21no—
2005C2×C4—21no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—48no—
2012C2×C4—48no—
2013C2×C4—82no—
2014C2×C4—82no—
2015C2×C4—84no—
2016C2×C4—84no—
2017C2×C4—84no—
2018C2×C4—84no—
2019C2×C4—84no—
2020C2×C4—84no—
2021C2×C4—161no—
2022C2×C4—161no—
2023C2×C4—162no—
2024C2×C4—162no—
2025C2×C4—162no—
2026C2×C4#58512yes—
2027C2×C4#58512yes—
2028C2×C4#58512yes—
2029C2×C4#58512yes—
2030C22—22no—
2031C22—24no—
2032C22—24no—
2033C22—24no—
2034C22—22no—
2035C22—22no—
2036C22—41no—
2037C22—42no—
2038C22—42no—
2039C22—41no—
2040C22—41no—
2041C22—42no—
2042C22—41no—
2043C22—42no—
2044C22—42no—
2045C22—42no—
2046C22—42no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22—42no—
2056C22—42no—
2057C22—42no—
2058C22—164no—
2059C22—164no—
2060C22C22×H(5,𝔽2)11yescharacteristic
2061C22C2×#58511yescharacteristic
2062C22C2×#58511yescharacteristic
2063C22C2×#58511yescharacteristic
2064C22C2×#58511yescharacteristic
2065C222−1+611yescharacteristic
2066C222−1+611yescharacteristic
2067C4—22no—
2068C4—22no—
2069C4—22no—
2070C4—22no—
2071C4—42no—
2072C4—42no—
2073C4—42no—
2074C4—42no—
2075C4—42no—
2076C4—42no—
2077C4—42no—
2078C4—42no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—42no—
2084C4—42no—
2085C4—42no—
2086C4—42no—
2087C4—42no—
2088C4—42no—
2089C4—42no—
2090C4—42no—
2091C4—42no—
2092C4—41no—
2093C4—42no—
2094C4—42no—
2095C4—42no—
2096C4—41no—
2097C4—42no—
2098C2—44no—
2099C2—42no—
2100C2—82no—
2101C2—82no—
2102C2#6282011yescharacteristic
2103C2#6290111yescharacteristic
2104C2#6290111yescharacteristic
2105C2#6291111yescharacteristic
2106C2#6293411yescharacteristic
2107C2#6303611yescharacteristic
2108C2#6306211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59622C2semidirect
2. #59249C2semidirect
3. #57914C2semidirect
4. #57673C2semidirect
5. #56718C2semidirect
6. #56076C2semidirect
7. #54825C2semidirect
8. #53405C2semidirect
9. #52060C2semidirect
10. #51647C2semidirect
11. #51550C2semidirect
13. #49539C2semidirect
14. #49404C2semidirect
15. #49006C2semidirect
16. #48968C2semidirect
17. #48793C2semidirect
18. #48612C2semidirect
19. #48540C2semidirect
20. #47899C2semidirect
21. #47336C2semidirect
22. #47335C2semidirect
23. #46680C2semidirect
24. #46234C2semidirect
25. #46192C2semidirect
26. #40262C2semidirect
27. #39540C2semidirect
28. #39540C2semidirect
29. #39229C2semidirect
30. #38913C2semidirect
31. #38800C2semidirect
32. #38782C2semidirect
33. #38046C2semidirect
35. #35452C2semidirect
40. #2855C22semidirect
41. #2853C22semidirect
44. #2845C22semidirect
45. #2841C22semidirect
46. #2839C22semidirect
47. #2837C22semidirect
48. #2837C22semidirect
49. #2836C22semidirect
50. #2831C22semidirect
51. #2827C22semidirect
52. #2822C22semidirect
53. #2808C22semidirect
54. #2806C22semidirect
55. #2806C22semidirect
56. #2805C22semidirect
57. #2802C22semidirect
58. #2802C22semidirect
59. #2802C22semidirect
60. #2800C22semidirect
62. #2795C22semidirect
63. #2795C22semidirect
64. #2793C22semidirect
65. #2793C22semidirect
66. #2791C22semidirect
67. #2791C22semidirect
68. #2791C22semidirect
69. #2791C22semidirect
70. #2790C22semidirect
71. #2789C22semidirect
72. #2788C22semidirect
74. #2787C22semidirect
75. #2787C22semidirect
76. #2786C22semidirect
77. #2786C22semidirect
78. #2783C22semidirect
79. #2780C22semidirect
80. #2779C22semidirect
81. #2777C22semidirect
82. #2776C22semidirect
83. #2776C22semidirect
84. #2775C22semidirect
85. #2773C22semidirect
86. #2772C22semidirect
88. #2768C22semidirect
89. #2768C22semidirect
90. #2768C22semidirect
91. #2767C22semidirect
92. #2767C22semidirect
93. #2765C22semidirect
94. #2765C22semidirect
95. #2765C22semidirect
96. #2765C22semidirect
99. #2761C22semidirect
100. #2761C22semidirect
101. #2759C22semidirect
104. #2750C22semidirect
105. #2750C22semidirect
106. #2748C22semidirect
110. #2745C22semidirect
111. #2744C22semidirect
112. #2744C22semidirect
113. #2744C22semidirect
114. #2743C22semidirect
115. #2743C22semidirect
116. #2742C22semidirect
117. #2740C22semidirect
118. #2740C22semidirect
119. #2740C22semidirect
120. #2739C22semidirect
121. #2739C22semidirect
122. #2739C22semidirect
123. #2738C22semidirect
124. #2734C22semidirect
125. #2732C22semidirect
127. #2727C22semidirect
128. #2727C22semidirect
129. #2726C22semidirect
130. #2724C22semidirect
136. #2718C22semidirect
137. #2718C22semidirect
138. #2718C22semidirect
139. #2718C22semidirect
140. #2718C22semidirect
141. #2718C22semidirect
144. #2713C22semidirect
149. #2702C22semidirect
152. #2698C22semidirect
153. #2698C22semidirect
159. #2694C22semidirect
160. #2694C22semidirect
161. #2694C22semidirect
162. #2689C22semidirect
163. #2689C22semidirect
164. #2687C22semidirect
165. #2687C22semidirect
173. #2667C22semidirect
174. #2666C22semidirect
175. #2664C22semidirect
176. #2654C22semidirect
177. #2653C22semidirect
178. #2651C22semidirect
179. #2651C22semidirect
180. #2651C22semidirect
181. #2650C22semidirect
182. #2649C22semidirect
183. #2637C22semidirect
184. #2627C22semidirect
185. #2627C22semidirect
190. #2623C22semidirect
193. #2611C22semidirect
194. #2608C22semidirect
195. #2606C22semidirect
198. #2599C22semidirect
199. #2597C22semidirect
201. #2595C22semidirect
202. #2594C22semidirect
203. #2590C22semidirect
204. #2590C22semidirect
205. #2590C22semidirect
206. #2589C22semidirect
207. #2589C22semidirect
208. #2588C22semidirect
209. #2585C22semidirect
210. #2585C22semidirect
211. #2585C22semidirect
212. #2585C22semidirect
213. #2583C22semidirect
214. #2582C22semidirect
217. #2579C22semidirect
219. #2578C22semidirect
222. #2576C22semidirect
223. #2575C22semidirect
224. #2575C22semidirect
225. #2575C22semidirect
226. #2575C22semidirect
227. #2573C22semidirect
228. #2572C22semidirect
231. #2558C22semidirect
232. #2556C22semidirect
235. #2553C22semidirect
236. #2553C22semidirect
237. #2552C22semidirect
238. #2550C22semidirect
241. #2529C22semidirect
242. #2527C22semidirect
243. #2527C22semidirect
244. #2527C22semidirect
245. #2526C22semidirect
246. #2526C22semidirect
249. #2518C22semidirect
250. #2517C22semidirect
251. #2516C22semidirect
252. #2516C22semidirect
253. #2515C22semidirect
254. #2515C22semidirect
255. #2511C22semidirect
256. #2509C22semidirect
257. #2507C22semidirect
258. #2502C22semidirect
264. #2487C22semidirect
267. #2484C22semidirect
268. #2484C22semidirect
279. #2479C22semidirect
286. #2478C22semidirect
287. #2478C22semidirect
288. #2478C22semidirect
289. #2478C22semidirect
290. #2477C22semidirect
297. #2473C22semidirect
302. #2468C22semidirect
303. #2468C22semidirect
308. #2466C22semidirect
309. #2466C22semidirect
310. #2465C22semidirect
313. #2458C22semidirect
314. #2458C22semidirect
329. #2413C22semidirect
330. #2413C22semidirect
338. #2383C22semidirect
339. #2382C22semidirect
340. #2382C22semidirect
341. #2378C22semidirect
342. #2376C22semidirect
344. #2374C22semidirect
345. #2373C22semidirect
346. #2373C22semidirect
347. #2370C22semidirect
348. #2360C22semidirect
349. #2355C22semidirect
350. #2355C22semidirect
351. Q8×C4⋊C4C22semidirect
352. #2345C22semidirect
355. #2336C22semidirect
356. #2335C22semidirect
357. #2331C22semidirect
358. #2330C22semidirect
361. #2322C22semidirect
362. #2317C22semidirect
374. C4×#123C22semidirect
376. #2296C22semidirect

Maximal subgroups

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

subgroupindex
#596222
#592492
#579142
#576732
#567182
#560762
#548252
#534052
#520602
#516472
#515502
#501652
#495392
#494042
#490062
#489682
#487932
#486122
#485402
#478992
#473362
#473352
#466802
#462342
#461922
#402622
#395402
#392292
#389132
#388002
#387822
#380462
#355412
#354522