Finite Group Databasebeta

← #7654479

Subgroups — #7654479

Order 512.

5280 conjugacy classes of subgroups.

The subgroup lattice has 1771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42739C212yesmaximal, complemented
2#42581C212yesmaximal, complemented
3#41461C214yesmaximal, complemented
4#41453C214yesmaximal, complemented
5#40149C212yesmaximal, complemented
6#40136C214yesmaximal, complemented
7#39505C211yesmaximal, characteristic, complemented
8#39401C212yesmaximal, complemented
9#39390C214yesmaximal, complemented
10#39201C211yesmaximal, characteristic, complemented
11#39157C211yesmaximal, characteristic, complemented
12#38942C211yesmaximal, characteristic, complemented
13#38116C212yesmaximal, complemented
14#37857C212yesmaximal, complemented
15#37710C212yesmaximal, complemented
16#37670C212yesmaximal, complemented
17#37637C211yesmaximal, characteristic, complemented
18#37498C212yesmaximal, complemented
19#36494C212yesmaximal, complemented
20#36460C212yesmaximal, complemented
21#36412C211yesmaximal, characteristic, complemented
22#36160C211yesmaximal, characteristic, complemented
23#36134C211yesmaximal, characteristic, complemented
24#36101C211yesmaximal, characteristic, complemented
25#35947C212yesmaximal, complemented
26#35897C212yesmaximal, complemented
27#35277C211yesmaximal, characteristic, complemented
28#35171C211yesmaximal, characteristic, complemented
29#35161C212yesmaximal, complemented
30#35005C212yesmaximal, complemented
31#34969C211yesmaximal, characteristic, complemented
32#34813C212yesmaximal, complemented
33#34330C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#542C2212yes—
39C2×#540C2212yescomplemented
40C2×#538C2214yes—
41C2×#533C2212yescomplemented
42C2×#525C2212yes—
43C22×C4×D4C2211yescharacteristic
44#2868C2211yescharacteristic, complemented
45#2865C2214yescomplemented
46#2860C2214yescomplemented
47#2858C2211yescharacteristic, complemented
48#2857C2211yescharacteristic
49#2857C2212yescomplemented
50#2856C2211yescharacteristic
51#2856C2212yes—
52#2856C2212yescomplemented
53#2854C2212yescomplemented
54#2847C2212yes—
55#2847C2212yes—
56#2831C2214yescomplemented
57#2826C2214yescomplemented
58#2825C2214yes—
59#2795C2214yescomplemented
60#2778C2214yes—
61#2762C2214yescomplemented
62#2756C2214yescomplemented
63#2750C2214yescomplemented
64#2746C2214yescomplemented
65#2740C2214yescomplemented
66#2731C2214yescomplemented
67#2728C2214yescomplemented
68#2712C2214yescomplemented
69#2710C2214yescomplemented
70#2706C2214yescomplemented
71#2699C2214yes—
72#2697C2214yes—
73#2696C2214yes—
74#2693C2214yescomplemented
75#2689C2214yes—
76#2685C2214yes—
77#2681C2214yescomplemented
78#2681C2214yescomplemented
79#2678C2214yes—
80#2676C2214yes—
81#2676C2214yes—
82#2668C2214yes—
83#2661C2214yescomplemented
84#2649C2214yescomplemented
85#2649C2214yescomplemented
86#2648C2214yes—
87#2648C2214yescomplemented
88#2647C2212yescomplemented
89#2645C2212yescomplemented
90#2644C2212yes—
91#2641C2212yescomplemented
92#2640C2212yescomplemented
93#2639C2214yescomplemented
94#2637C2214yescomplemented
95#2636C2214yescomplemented
96#2635C2214yes—
97#2629C2212yescomplemented
98#2625C2212yescomplemented
99#2624C2212yescomplemented
100#2620C2212yes—
101#2620C2212yescomplemented
102#2617C2214yes—
103#2580C2212yescomplemented
104#2576C2214yescomplemented
105#2576C2214yescomplemented
106#2571C2212yescomplemented
107#2567C2211yescharacteristic, complemented
108#2563C2211yescharacteristic
109#2559C2214yes—
110#2559C2214yescomplemented
111#2559C2214yescomplemented
112#2557C2214yes—
113#2557C2214yescomplemented
114#2555C2214yescomplemented
115#2555C2214yescomplemented
116#2553C2214yes—
117#2552C2211yescharacteristic, complemented
118#2552C2211yescharacteristic, complemented
119#2548C2212yes—
120#2542C2212yes—
121#2541C2211yescharacteristic
122#2541C2211yescharacteristic, complemented
123#2538C2211yescharacteristic
124#2538C2212yes—
125#2537C2212yes—
126#2537C2211yescharacteristic
127#2531C2214yes—
128#2530C2214yescomplemented
129#2530C2212yescomplemented
130#2527C2214yescomplemented
131#2527C2212yescomplemented
132#2526C2214yescomplemented
133#2526C2214yescomplemented
134#2526C2214yescomplemented
135#2513C2212yescomplemented
136#2512C2212yes—
137#2512C2212yescomplemented
138#2512C2212yescomplemented
139#2511C2211yescharacteristic, complemented
140#2509C2212yescomplemented
141#2509C2211yescharacteristic, complemented
142#2508C2212yescomplemented
143#2505C2214yescomplemented
144#2500C2212yes—
145#2500C2212yescomplemented
146#2500C2212yescomplemented
147#2497C2212yescomplemented
148#2496C2212yes—
149#2496C2212yes—
150#2496C2212yescomplemented
151#2494C2212yes—
152#2494C2211yescharacteristic
153#2492C2211yescharacteristic
154#2492C2212yescomplemented
155#2491C2212yes—
156#2491C2212yes—
157#2491C2212yes—
158#2491C2212yescomplemented
159#2491C2212yescomplemented
160#2490C2212yes—
161#2490C2212yescomplemented
162#2489C2212yes—
163#2489C2212yescomplemented
164#2488C2214yescomplemented
165#2488C2214yescomplemented
166#2488C2214yescomplemented
167#2485C2212yes—
168#2477C2212yes—
169#2472C2214yes—
170#2472C2214yes—
171#2472C2214yes—
172#2470C2212yes—
173#2467C2214yes—
174#2466C2214yescomplemented
175#2464C2214yescomplemented
176#2459C2214yes—
177#2458C2214yescomplemented
178#2458C2214yescomplemented
179#2457C2214yes—
180#2456C2214yes—
181#2452C2212yescomplemented
182#2452C2211yescharacteristic, complemented
183#2452C2212yescomplemented
184#2447C2211yescharacteristic, complemented
185#2445C2212yes—
186#2445C2212yes—
187#2444C2214yescomplemented
188#2441C2212yescomplemented
189#2441C2212yescomplemented
190#2439C2212yescomplemented
191#2433C2212yes—
192#2431C2212yescomplemented
193#2429C2214yescomplemented
194#2428C2212yes—
195#2428C2212yes—
196#2428C2212yes—
197#2428C2212yes—
198#2428C2212yescomplemented
199#2427C2211yescharacteristic
200#2426C2214yescomplemented
201#2426C2214yescomplemented
202#2425C2214yes—
203#2424C2214yes—
204#2423C2214yescomplemented
205#2422C2212yes—
206#2422C2212yes—
207#2422C2211yescharacteristic
208#2422C2212yescomplemented
209#2422C2212yescomplemented
210#2420C2212yes—
211#2420C2212yescomplemented
212#2420C2214yescomplemented
213#2414C2212yes—
214#2414C2212yes—
215#2414C2212yes—
216#2408C2212yes—
217#2407C2212yes—
218#2401C2212yescomplemented
219#2398C2212yes—
220#2398C2214yes—
221#2398C2214yescomplemented
222#2372C2214yescomplemented
223#2369C2211yescharacteristic, complemented
224#2366C2212yes—
225#2366C2212yes—
226#2366C2211yescharacteristic, complemented
227#2365C2212yescomplemented
228#2364C2214yescomplemented
229#2363C2212yes—
230#2363C2212yes—
231#2363C2212yescomplemented
232#2363C2212yescomplemented
233#2363C2212yescomplemented
234#2363C2212yescomplemented
235#2361C2212yes—
236#2357C2211yescharacteristic
237#2357C2211yescharacteristic
238#2357C2212yescomplemented
239#2355C2211yescharacteristic, complemented
240#2354C2211yescharacteristic
241#2354C2211yescharacteristic
242#2354C2211yescharacteristic, complemented
243#2353C2212yes—
244#2353C2212yes—
245#2352C2212yes—
246Q8×C4⋊C4C2212yescomplemented
247#2349C2211yescharacteristic
248#2349C2211yescharacteristic
249#2346C2212yescomplemented
250#2346C2212yescomplemented
251#2345C2211yescharacteristic
252#2345C2211yescharacteristic
253#2342C2212yes—
254#2342C2212yes—
255#2339C2212yescomplemented
256D4×C22⋊C4C2211yescharacteristic
257D4×C22⋊C4C2211yescharacteristic
258#2333C2214yescomplemented
259#2330C2212yescomplemented
260#2328C2212yes—
261#2326C2212yescomplemented
262#2325C2214yescomplemented
263#2324C2212yescomplemented
264#2324C2212yescomplemented
265#2319C2212yescomplemented
266#2314C2212yescomplemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×#127C2211yescharacteristic, complemented
270C4×#124C2214yes—
271C4×#124C2211yescharacteristic, complemented
272C4×#124C2214yescomplemented
273C4×#124C2214yescomplemented
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yescomplemented
276C4×#123C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2212yes—
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281#2297C2212yescomplemented
282#2297C2212yescomplemented
283#2295C2211yescharacteristic, complemented
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2290C2212yes—
287#2290C2212yes—
288#2283C2211yescharacteristic
289#2280C2212yes—
290#2280C2212yes—
291#2275C2212yescomplemented
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic, complemented
295C4×#117C2211yescharacteristic
296C4×#117C2212yescomplemented
297C4×#117C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#555—28no—
303#550—28no—
304#542—48no—
305#540—48no—
306#538—416no—
307#533—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2314yes—
323C2×#124C2314yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2314yes—
328C2×#124C2314yes—
329#525—48no—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2314yes—
371C2×C4×Q8C2314yes—
372C2×C4×D4—28no—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C22×C4⋊C4C2311yescharacteristic
407C22×C22⋊C4C2312yes—
408C22×C22⋊C4C2312yes—
409C22×C22⋊C4C2312yes—
410C22×C42C2311yescharacteristic
411C22×C42C2312yes—
412C22×C42C2312yes—
413C22×C42C2312yes—
414#401C2314yes—
415#401C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#400C2314yes—
426#400C2312yes—
427#400C2312yes—
428#400C2314yes—
429#400C2312yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2312yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#395C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2312yes—
499#393C2312yes—
500#393C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2314yes—
517#391C2314yes—
518#391C2311yescharacteristic
519#391C2314yes—
520#391C2311yescharacteristic
521#391C2312yes—
522#391C2311yescharacteristic
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2314yes—
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2314yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2311yescharacteristic
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#386C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#383C2312yes—
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2314yes—
710#382C2314yes—
711#382C2314yes—
712#382C2311yescharacteristic
713#381C2314yes—
714#381C2312yes—
715#381C2312yes—
716#381C2314yes—
717#381C2312yes—
718#381C2312yes—
719#381C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#379C2312yes—
742#379C2312yes—
743#379C2314yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2311yescharacteristic
778C4×C22⋊C4C2311yescharacteristic
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806#376C2312yes—
807#376C2311yescharacteristic
808#376C2312yes—
809#376C2314yes—
810#376C2314yes—
811#376C2311yescharacteristic
812C2×#95C2312yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2314yes—
818C25C2412yes—
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×Q8C2412yes—
826C22×D4—24no—
827C22×D4—42no—
828C22×D4—42no—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C23×C4—28no—
847C23×C4—44no—
848C23×C4—44no—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C4⋊Q8—24no—
868C4⋊Q8—24no—
869C4⋊Q8—44no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872#127—28no—
873#127—24no—
874#127—44no—
875#127—44no—
876#126—48no—
877#126—48no—
878#126—48no—
879#125—28no—
880#125—44no—
881#124—216no—
882#124—216no—
883#124—44no—
884#124—44no—
885#124—42no—
886#124—48no—
887#124—48no—
888#123—28no—
889#123—48no—
890#123—48no—
891#123—48no—
892#123—48no—
893#123—48no—
894C22⋊Q8—24no—
895C22⋊Q8—44no—
896C22⋊Q8—48no—
897C22⋊Q8—44no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—44no—
901C22⋊Q8—48no—
902#121—28no—
903#121—28no—
904#121—28no—
905#121—28no—
906#121—216no—
907#121—48no—
908#121—48no—
909#121—48no—
910#121—48no—
911#121—48no—
912#121—44no—
913#121—42no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—48no—
920#121—44no—
921#121—44no—
922#120—48no—
923#120—48no—
924#120—48no—
925C4×Q8—24no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×Q8—48no—
929C4×Q8—48no—
930C4×D4—24no—
931C4×D4—28no—
932C4×D4—24no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—28no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—48no—
939C4×D4—44no—
940C4×D4—42no—
941C4×D4—42no—
942C4×D4—44no—
943C4×D4—42no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—42no—
947C4×D4—42no—
948C4×D4—48no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—48no—
952C4×D4—48no—
953C4×D4#4118yes—
954#117—28no—
955#117—28no—
956#117—28no—
957#117—24no—
958#117—44no—
959#117—44no—
960#117—42no—
961#117—44no—
962#117—44no—
963C2×C4⋊C4—24no—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C22⋊C4—28no—
1020C2×C22⋊C4—28no—
1021C2×C22⋊C4—44no—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C42—24no—
1091C2×C42—44no—
1092C2×C42—44no—
1093C2×C42—44no—
1094C2×C42C2411yescharacteristic
1095C2×C42C2414yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2414yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2414yes—
1148#95C2414yes—
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2414yes—
1153#95C2411yescharacteristic
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194C24—24no—
1195C24—24no—
1196C24—42no—
1197C24—42no—
1198C24—42no—
1199C24—42no—
1200C24—42no—
1201C24C2512yes—
1202C24C2512yes—
1203C24C2514yes—
1204C24C2512yes—
1205C24C2511yescharacteristic
1206#41—816no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—28no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—44no—
1217C2×Q8—42no—
1218C2×Q8—44no—
1219C2×D4—24no—
1220C2×D4—28no—
1221C2×D4—28no—
1222C2×D4—28no—
1223C2×D4—24no—
1224C2×D4—28no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—28no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—416no—
1270C2×D4C2×#4114yes—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—28no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—41no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—816no—
1325C22×C4C2×#4118yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2514yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2514yes—
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2514yes—
1348C22×C4C2512yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—28no—
1372C4⋊C4—28no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—41no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4C2×#4114yes—
1410C4⋊C4H(5,𝔽2)14yes—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—24no—
1414C22⋊C4—22no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—22no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—41no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4C2×#4118yes—
1478C22⋊C4H(5,𝔽2)14yes—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—28no—
1483C42—24no—
1484C42—22no—
1485C42—24no—
1486C42—28no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—28no—
1491C42—22no—
1492C42—22no—
1493C42—24no—
1494C42—24no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—24no—
1499C42—22no—
1500C42—22no—
1501C42—42no—
1502C42—42no—
1503C42—42no—
1504C42—42no—
1505C42—42no—
1506C42—42no—
1507C42—41no—
1508C42—44no—
1509C42—44no—
1510C42—44no—
1511C42—44no—
1512C42C2×#4114yes—
1513C23—21no—
1514C23—22no—
1515C23—21no—
1516C23—22no—
1517C23—21no—
1518C23—21no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—21no—
1523C23—22no—
1524C23—21no—
1525C23—22no—
1526C23—22no—
1527C23—24no—
1528C23—22no—
1529C23—24no—
1530C23—22no—
1531C23—22no—
1532C23—24no—
1533C23—22no—
1534C23—22no—
1535C23—24no—
1536C23—22no—
1537C23—22no—
1538C23—24no—
1539C23—22no—
1540C23—22no—
1541C23—24no—
1542C23—24no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—48no—
1547C23—48no—
1548C23—84no—
1549C23—84no—
1550C23—84no—
1551C23—84no—
1552C23—84no—
1553C23C22×#4114yes—
1554C23C2×H(5,𝔽2)12yes—
1555C23C2611yescharacteristic
1556Q8—48no—
1557Q8—44no—
1558Q8—88no—
1559Q8—84no—
1560D4—28no—
1561D4—48no—
1562D4—48no—
1563D4—44no—
1564D4—44no—
1565D4—48no—
1566D4—88no—
1567D4—84no—
1568D4—88no—
1569D4—84no—
1570D4—88no—
1571D4—88no—
1572D4—88no—
1573D4—164no—
1574D4—164no—
1575D4—164no—
1576D4—164no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—216no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—24no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—24no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—24no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—44no—
1657C2×C4—48no—
1658C2×C4—44no—
1659C2×C4—48no—
1660C2×C4—44no—
1661C2×C4—84no—
1662C2×C4—84no—
1663C2×C4—84no—
1664C2×C4—84no—
1665C2×C4—84no—
1666C2×C4—84no—
1667C2×C4—84no—
1668C2×C4—88no—
1669C2×C4—84no—
1670C2×C4—84no—
1671C2×C4—164no—
1672C2×C4—164no—
1673C2×C4C22×#4114yes—
1674C2×C4C22×#4112yes—
1675C2×C4C22×#4112yes—
1676C2×C4C22×#4112yes—
1677C2×C4C2×H(5,𝔽2)12yes—
1678C2×C4C2×H(5,𝔽2)14yes—
1679C2×C4C2×H(5,𝔽2)12yes—
1680C2×C4C2×H(5,𝔽2)12yes—
1681C2×C4#58512yes—
1682C2×C4#58512yes—
1683C2×C4#58512yes—
1684C2×C4#58512yes—
1685C22—22no—
1686C22—22no—
1687C22—24no—
1688C22—22no—
1689C22—24no—
1690C22—24no—
1691C22—42no—
1692C22—42no—
1693C22—41no—
1694C22—42no—
1695C22—42no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—44no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—44no—
1705C22—42no—
1706C22—44no—
1707C22—42no—
1708C22—44no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—44no—
1713C22—42no—
1714C22—44no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—44no—
1720C22—816no—
1721C22C23×#4111yescharacteristic
1722C22C22×H(5,𝔽2)11yescharacteristic
1723C22C22×H(5,𝔽2)11yescharacteristic
1724C22C2×#58511yescharacteristic
1725C22C2×#58511yescharacteristic
1726C22C2×#58511yescharacteristic
1727C22C2×#58511yescharacteristic
1728C4—22no—
1729C4—22no—
1730C4—24no—
1731C4—22no—
1732C4—24no—
1733C4—22no—
1734C4—42no—
1735C4—41no—
1736C4—44no—
1737C4—44no—
1738C4—41no—
1739C4—42no—
1740C4—42no—
1741C4—41no—
1742C4—42no—
1743C4—42no—
1744C4—42no—
1745C4—41no—
1746C4—42no—
1747C4—41no—
1748C4—42no—
1749C4—41no—
1750C4—42no—
1751C4—41no—
1752C4—42no—
1753C4—44no—
1754C4—42no—
1755C4—41no—
1756C4#345514yes—
1757C4#351414yes—
1758C2—44no—
1759C2—42no—
1760C2—84no—
1761C2—82no—
1762C2—82no—
1763C2C2×#345511yescharacteristic
1764C2C2×#351411yescharacteristic
1765C2#6280011yescharacteristic
1766C2#6301411yescharacteristic
1767C2#6301811yescharacteristic
1768C2#6302411yescharacteristic
1769C2#6303111yescharacteristic
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. #42739C2semidirect
2. #42581C2semidirect
3. #41461C2semidirect
4. #41453C2semidirect
5. #40149C2semidirect
6. #40136C2semidirect
7. #39505C2semidirect
8. #39401C2semidirect
9. #39390C2semidirect
10. #39201C2semidirect
11. #39157C2semidirect
12. #38942C2semidirect
13. #38116C2semidirect
14. #37857C2semidirect
15. #37710C2semidirect
16. #37670C2semidirect
17. #37637C2semidirect
18. #37498C2semidirect
19. #36494C2semidirect
20. #36460C2semidirect
21. #36412C2semidirect
22. #36160C2semidirect
23. #36134C2semidirect
24. #36101C2semidirect
25. #35947C2semidirect
26. #35897C2semidirect
27. #35277C2semidirect
28. #35171C2semidirect
29. #35161C2semidirect
30. #35005C2semidirect
31. #34969C2semidirect
32. #34813C2semidirect
33. #34330C2semidirect
34. C4×#555C2semidirect
35. #34126C2semidirect
39. C2×#540C22semidirect
41. C2×#533C22semidirect
44. #2868C22semidirect
45. #2865C22semidirect
46. #2860C22semidirect
47. #2858C22semidirect
49. #2857C22semidirect
52. #2856C22semidirect
53. #2854C22semidirect
56. #2831C22semidirect
57. #2826C22semidirect
59. #2795C22semidirect
61. #2762C22semidirect
62. #2756C22semidirect
63. #2750C22semidirect
64. #2746C22semidirect
65. #2740C22semidirect
66. #2731C22semidirect
67. #2728C22semidirect
68. #2712C22semidirect
69. #2710C22semidirect
70. #2706C22semidirect
74. #2693C22semidirect
77. #2681C22semidirect
78. #2681C22semidirect
83. #2661C22semidirect
84. #2649C22semidirect
85. #2649C22semidirect
87. #2648C22semidirect
88. #2647C22semidirect
89. #2645C22semidirect
91. #2641C22semidirect
92. #2640C22semidirect
93. #2639C22semidirect
94. #2637C22semidirect
95. #2636C22semidirect
97. #2629C22semidirect
98. #2625C22semidirect
99. #2624C22semidirect
101. #2620C22semidirect
103. #2580C22semidirect
104. #2576C22semidirect
105. #2576C22semidirect
106. #2571C22semidirect
107. #2567C22semidirect
110. #2559C22semidirect
111. #2559C22semidirect
113. #2557C22semidirect
114. #2555C22semidirect
115. #2555C22semidirect
117. #2552C22semidirect
118. #2552C22semidirect
122. #2541C22semidirect
128. #2530C22semidirect
129. #2530C22semidirect
130. #2527C22semidirect
131. #2527C22semidirect
132. #2526C22semidirect
133. #2526C22semidirect
134. #2526C22semidirect
135. #2513C22semidirect
137. #2512C22semidirect
138. #2512C22semidirect
139. #2511C22semidirect
140. #2509C22semidirect
141. #2509C22semidirect
142. #2508C22semidirect
143. #2505C22semidirect
145. #2500C22semidirect
146. #2500C22semidirect
147. #2497C22semidirect
150. #2496C22semidirect
154. #2492C22semidirect
158. #2491C22semidirect
159. #2491C22semidirect
161. #2490C22semidirect
163. #2489C22semidirect
164. #2488C22semidirect
165. #2488C22semidirect
166. #2488C22semidirect
174. #2466C22semidirect
175. #2464C22semidirect
177. #2458C22semidirect
178. #2458C22semidirect
181. #2452C22semidirect
182. #2452C22semidirect
183. #2452C22semidirect
184. #2447C22semidirect
187. #2444C22semidirect
188. #2441C22semidirect
189. #2441C22semidirect
190. #2439C22semidirect
192. #2431C22semidirect
193. #2429C22semidirect
198. #2428C22semidirect
200. #2426C22semidirect
201. #2426C22semidirect
204. #2423C22semidirect
208. #2422C22semidirect
209. #2422C22semidirect
211. #2420C22semidirect
212. #2420C22semidirect
218. #2401C22semidirect
221. #2398C22semidirect
222. #2372C22semidirect
223. #2369C22semidirect
226. #2366C22semidirect
227. #2365C22semidirect
228. #2364C22semidirect
231. #2363C22semidirect
232. #2363C22semidirect
233. #2363C22semidirect
234. #2363C22semidirect
238. #2357C22semidirect
239. #2355C22semidirect
242. #2354C22semidirect
246. Q8×C4⋊C4C22semidirect
249. #2346C22semidirect
250. #2346C22semidirect
255. #2339C22semidirect
258. #2333C22semidirect
259. #2330C22semidirect
261. #2326C22semidirect
262. #2325C22semidirect
263. #2324C22semidirect
264. #2324C22semidirect
265. #2319C22semidirect
266. #2314C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×#127C22semidirect
271. C4×#124C22semidirect
272. C4×#124C22semidirect
273. C4×#124C22semidirect
275. C4×C22⋊Q8C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. #2297C22semidirect
282. #2297C22semidirect
283. #2295C22semidirect
291. #2275C22semidirect
294. C42×D4C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#427392
#425812
#414612
#414532
#401492
#401362
#395052
#394012
#393902
#392012
#391572
#389422
#381162
#378572
#377102
#376702
#376372
#374982
#364942
#364602
#364122
#361602
#361342
#361012
#359472
#358972
#352772
#351712
#351612
#350052
#349692
#348132
#343302
C4×#5552
#341262