Finite Group Databasebeta

← #7647350

Subgroups — #7647350

Order 512.

5916 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#40640C214yesmaximal, complemented
2#40638C214yesmaximal, complemented
3#40550C214yesmaximal, complemented
4#40549C214yesmaximal, complemented
5#38113C212yesmaximal, complemented
6#38110C212yesmaximal, complemented
7#38062C212yesmaximal, complemented
8#38061C212yesmaximal, complemented
9#37696C212yesmaximal, complemented
10#37694C212yesmaximal, complemented
11#37670C212yesmaximal, complemented
12#37669C212yesmaximal, complemented
13#37501C212yesmaximal, complemented
14#37498C212yesmaximal, complemented
15#36821C212yesmaximal, complemented
16#36818C212yesmaximal, complemented
17#36815C212yesmaximal, complemented
18#36812C212yesmaximal, complemented
19#35371C214yesmaximal, complemented
20#35195C212yesmaximal, complemented
21#35156C212yesmaximal, complemented
22#35076C211yesmaximal, characteristic, complemented
23#35033C211yesmaximal, characteristic, complemented
24#34998C214yesmaximal, complemented
25#34736C211yesmaximal, characteristic, complemented
26C2×#2431C211yesmaximal, characteristic, complemented
27#34246C211yesmaximal, characteristic, complemented
28C22⋊C4×#41C211yesmaximal, characteristic, complemented
29#34057C211yesmaximal, characteristic, complemented
30C23×#41C2211yescharacteristic
31C2×#542C2212yescomplemented
32C2×#540C2212yescomplemented
33C22×#127C2211yescharacteristic, complemented
34C22×#124C2211yescharacteristic, complemented
35C2×#525C2211yescharacteristic, complemented
36C2×#525C2211yescharacteristic, complemented
37C22×#121C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic, complemented
39C2×C4×#41C2211yescharacteristic, complemented
40C22×C4×D4C2211yescharacteristic
41#2857C2212yescomplemented
42#2854C2212yescomplemented
43#2854C2214yescomplemented
44#2853C2214yescomplemented
45#2852C2214yescomplemented
46#2851C2212yescomplemented
47#2850C2214yescomplemented
48#2847C2212yescomplemented
49#2826C2214yescomplemented
50#2825C2214yescomplemented
51#2825C2214yescomplemented
52#2824C2214yescomplemented
53#2798C2214yescomplemented
54#2796C2214yescomplemented
55#2789C2214yescomplemented
56#2760C2214yescomplemented
57#2758C2214yescomplemented
58#2754C2214yescomplemented
59#2752C2214yescomplemented
60#2751C2214yescomplemented
61#2749C2214yescomplemented
62#2749C2214yescomplemented
63#2730C2214yescomplemented
64#2715C2214yescomplemented
65#2712C2214yescomplemented
66#2710C2214yescomplemented
67#2709C2214yescomplemented
68#2709C2214yescomplemented
69#2706C2214yescomplemented
70#2706C2214yescomplemented
71#2705C2214yescomplemented
72#2705C2214yescomplemented
73#2705C2214yescomplemented
74#2700C2214yescomplemented
75#2696C2214yescomplemented
76#2696C2214yescomplemented
77#2693C2214yescomplemented
78#2693C2214yescomplemented
79#2678C2214yescomplemented
80#2678C2214yescomplemented
81#2673C2214yescomplemented
82#2673C2214yescomplemented
83#2670C2214yescomplemented
84#2668C2214yescomplemented
85#2653C2214yescomplemented
86#2649C2214yescomplemented
87#2648C2214yescomplemented
88#2648C2214yescomplemented
89#2645C2212yescomplemented
90#2644C2212yescomplemented
91#2641C2212yescomplemented
92#2640C2212yescomplemented
93#2636C2214yescomplemented
94#2636C2214yescomplemented
95#2635C2214yescomplemented
96#2635C2214yescomplemented
97#2635C2214yescomplemented
98#2631C2214yescomplemented
99#2631C2214yescomplemented
100#2630C2214yescomplemented
101#2630C2214yescomplemented
102#2626C2214yes—
103#2625C2212yescomplemented
104#2624C2212yescomplemented
105#2620C2212yescomplemented
106#2619C2212yescomplemented
107#2608C2212yescomplemented
108#2608C2212yescomplemented
109#2607C2212yescomplemented
110#2607C2212yescomplemented
111#2591C2212yescomplemented
112#2578C2214yescomplemented
113#2578C2214yescomplemented
114#2576C2214yescomplemented
115#2576C2214yescomplemented
116#2572C2214yescomplemented
117#2559C2214yescomplemented
118#2557C2214yescomplemented
119#2553C2214yescomplemented
120#2539C2212yescomplemented
121#2518C2214yescomplemented
122#2518C2214yescomplemented
123#2514C2212yescomplemented
124#2512C2212yescomplemented
125#2510C2214yes—
126#2510C2214yes—
127#2510C2214yescomplemented
128#2505C2214yescomplemented
129#2505C2214yescomplemented
130#2491C2212yescomplemented
131#2489C2212yescomplemented
132#2488C2214yescomplemented
133#2487C2212yes—
134#2480C2214yescomplemented
135#2480C2214yescomplemented
136#2477C2214yescomplemented
137#2476C2214yescomplemented
138#2472C2214yes—
139#2472C2214yes—
140#2471C2214yescomplemented
141#2470C2214yescomplemented
142#2467C2214yescomplemented
143#2463C2214yescomplemented
144#2459C2214yescomplemented
145#2457C2214yescomplemented
146#2457C2214yescomplemented
147#2456C2214yescomplemented
148#2456C2214yescomplemented
149#2455C2214yescomplemented
150#2453C2212yescomplemented
151#2452C2212yescomplemented
152#2448C2212yescomplemented
153#2447C2212yescomplemented
154#2445C2212yescomplemented
155#2445C2212yescomplemented
156#2444C2214yescomplemented
157#2441C2212yescomplemented
158#2441C2212yescomplemented
159#2439C2212yescomplemented
160#2439C2212yescomplemented
161#2437C2214yescomplemented
162#2437C2214yescomplemented
163#2431C2212yes—
164#2431C2212yes—
165#2431C2212yes—
166#2431C2212yes—
167#2431C2212yescomplemented
168#2431C2212yescomplemented
169#2431C2212yescomplemented
170#2431C2212yescomplemented
171#2428C2212yescomplemented
172#2428C2212yescomplemented
173#2427C2214yescomplemented
174#2427C2212yescomplemented
175#2426C2212yescomplemented
176#2425C2214yescomplemented
177#2422C2212yescomplemented
178#2421C2212yescomplemented
179#2420C2214yescomplemented
180#2414C2212yescomplemented
181#2414C2212yescomplemented
182#2412C2214yes—
183#2412C2214yes—
184#2410C2214yes—
185#2410C2214yes—
186#2409C2212yes—
187#2408C2212yes—
188#2408C2212yes—
189#2407C2212yescomplemented
190#2407C2212yescomplemented
191#2406C2212yescomplemented
192#2405C2212yes—
193#2405C2212yes—
194#2405C2214yescomplemented
195#2405C2214yescomplemented
196#2404C2212yescomplemented
197#2403C2212yes—
198#2403C2212yes—
199#2388C2214yescomplemented
200C2×#392C2214yes—
201#2364C2214yescomplemented
202#2363C2212yescomplemented
203#2363C2212yescomplemented
204#2345C2212yescomplemented
205#2341C2212yescomplemented
206Q8×C22⋊C4C2212yescomplemented
207#2339C2212yescomplemented
208#2339C2214yescomplemented
209D4×C22⋊C4C2214yes—
210D4×C22⋊C4C2214yes—
211D4×C22⋊C4C2212yescomplemented
212D4×C22⋊C4C2212yescomplemented
213#2333C2212yescomplemented
214#2333C2212yescomplemented
215#2329C2214yescomplemented
216#2328C2212yescomplemented
217#2326C2212yescomplemented
218#2324C2212yescomplemented
219#2323C2212yescomplemented
220#2321C2214yes—
221#2320C2212yescomplemented
222#2319C2212yescomplemented
223#2318C2212yes—
224#2318C2212yes—
225#2318C2212yescomplemented
226#2318C2212yescomplemented
227#2315C2212yes—
228#2313C2211yescharacteristic, complemented
229#2313C2211yescharacteristic, complemented
230#2312C2211yescharacteristic, complemented
231#2312C2211yescharacteristic, complemented
232#2312C2212yescomplemented
233#2308C2212yes—
234C4×#121C2212yescomplemented
235C4×#121C2212yescomplemented
236C4×#120C2214yes—
237#2297C2211yescharacteristic, complemented
238#2297C2211yescharacteristic, complemented
239#2297C2212yescomplemented
240#2297C2212yescomplemented
241#2297C2211yescharacteristic, complemented
242#2297C2211yescharacteristic, complemented
243C2×#391C2211yescharacteristic, complemented
244C2×#390C2211yescharacteristic, complemented
245#2290C2212yes—
246#2290C2212yes—
247#2290C2212yescomplemented
248#2290C2212yescomplemented
249C2×#386C2214yescomplemented
250#2283C2212yescomplemented
251#2280C2211yescharacteristic
252#2280C2211yescharacteristic
253#2280C2212yescomplemented
254#2280C2212yescomplemented
255#2273C2212yescomplemented
256C2×C4×C22⋊C4C2211yescharacteristic
257C2×C4×C22⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2212yescomplemented
259C22×#41—28no—
260C22×#41—44no—
261C22×#41—44no—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2312yes—
266C22×#41C2312yes—
267C22×#41C2311yescharacteristic
268C23×Q8C2311yescharacteristic
269C23×D4C2311yescharacteristic
270C23×D4C2311yescharacteristic
271C23×D4C2312yes—
272C23×D4C2311yescharacteristic
273C23×D4C2312yes—
274C23×D4C2314yes—
275C24×C4C2312yes—
276C24×C4C2311yescharacteristic
277C24×C4C2311yescharacteristic
278#542—48no—
279#540—48no—
280C2×C4⋊Q8C2312yes—
281C2×#127—44no—
282C2×#127C2312yes—
283C2×#127C2312yes—
284C2×#127C2312yes—
285C2×#127C2312yes—
286C2×#126C2314yes—
287C2×#126C2314yes—
288C2×#125C2312yes—
289C2×#124—44no—
290C2×#124C2312yes—
291C2×#124C2314yes—
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2314yes—
296#525—44no—
297#525—44no—
298C2×#123C2314yes—
299C2×#123C2312yes—
300C2×#123C2312yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2314yes—
312C2×#121—28no—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2314yes—
321C2×#121C2312yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#120C2314yes—
326C2×#120C2312yes—
327C2×#120C2312yes—
328C2×#120C2314yes—
329C2×#120C2314yes—
330C4×#41—44no—
331C4×#41—44no—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×D4—28no—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2314yes—
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2312yes—
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2312yes—
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2312yes—
363C22×C22⋊C4C2312yes—
364C22×C22⋊C4C2314yes—
365C22×C22⋊C4C2314yes—
366C22×C22⋊C4C2314yes—
367C22×C22⋊C4C2314yes—
368C22×C42C2311yescharacteristic
369C22×C42C2312yes—
370C22×C42C2311yescharacteristic
371C22×C42C2312yes—
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375#401C2314yes—
376#401C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#398C2314yes—
392#398C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#395C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#393C2314yes—
447#393C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#392C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2314yes—
492#390C2314yes—
493#390C2314yes—
494#390C2314yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2312yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#388C2312yes—
518#388C2312yes—
519#388C2312yes—
520#388C2312yes—
521#388C2312yes—
522#388C2312yes—
523#388C2312yes—
524#388C2312yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#387C2312yes—
548#387C2312yes—
549#387C2312yes—
550#387C2312yes—
551#387C2312yes—
552#387C2312yes—
553#387C2312yes—
554#387C2312yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#386C2312yes—
570#386C2312yes—
571#386C2312yes—
572#386C2312yes—
573#386C2312yes—
574#386C2312yes—
575#386C2312yes—
576#386C2312yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2312yes—
614#386C2312yes—
615#386C2314yes—
616#386C2312yes—
617#386C2312yes—
618#386C2314yes—
619#385C2312yes—
620#385C2312yes—
621#385C2312yes—
622#385C2312yes—
623#385C2312yes—
624#385C2312yes—
625#385C2312yes—
626#385C2312yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#384C2312yes—
640#383C2312yes—
641#383C2314yes—
642#383C2312yes—
643#383C2314yes—
644#382C2312yes—
645#382C2312yes—
646#382C2314yes—
647#382C2314yes—
648#382C2312yes—
649#381C2312yes—
650#381C2312yes—
651#381C2314yes—
652#381C2314yes—
653#381C2312yes—
654#381C2312yes—
655#381C2314yes—
656#381C2312yes—
657#381C2312yes—
658#380C2312yes—
659#380C2312yes—
660#380C2314yes—
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2314yes—
666#380C2314yes—
667#380C2314yes—
668#380C2312yes—
669#380C2312yes—
670#380C2314yes—
671#380C2312yes—
672#380C2314yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#379C2312yes—
677#379C2312yes—
678#379C2314yes—
679#379C2314yes—
680#379C2312yes—
681#379C2312yes—
682#379C2314yes—
683#379C2314yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C22⋊C4C2311yescharacteristic
689C4×C22⋊C4C2311yescharacteristic
690C4×C22⋊C4C2311yescharacteristic
691C4×C22⋊C4C2311yescharacteristic
692C4×C22⋊C4C2311yescharacteristic
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2311yescharacteristic
697C4×C22⋊C4C2311yescharacteristic
698C4×C22⋊C4C2311yescharacteristic
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719#376C2312yes—
720#376C2312yes—
721C2×#95C2312yes—
722C2×#95C2312yes—
723C2×#95C2314yes—
724C2×#95C2314yes—
725C25C2412yes—
726C25C2412yes—
727C25C2411yescharacteristic
728C25C2411yescharacteristic
729C2×#41—24no—
730C2×#41—24no—
731C2×#41—24no—
732C2×#41—24no—
733C2×#41—24no—
734C2×#41—28no—
735C2×#41—24no—
736C2×#41—24no—
737C2×#41—24no—
738C2×#41—28no—
739C2×#41—44no—
740C2×#41—44no—
741C2×#41—44no—
742C2×#41—42no—
743C2×#41—42no—
744C2×#41—42no—
745C2×#41—42no—
746C2×#41—44no—
747C2×#41—464no—
748C22×Q8—24no—
749C22×Q8—24no—
750C22×Q8—42no—
751C22×Q8C2411yescharacteristic
752C22×Q8C2412yes—
753C22×Q8C2411yescharacteristic
754C22×Q8C2414yes—
755C22×D4—24no—
756C22×D4—28no—
757C22×D4—28no—
758C22×D4—24no—
759C22×D4—24no—
760C22×D4—24no—
761C22×D4—42no—
762C22×D4—44no—
763C22×D4—42no—
764C22×D4—42no—
765C22×D4—48no—
766C22×D4—44no—
767C22×D4—44no—
768C22×D4—48no—
769C22×D4—84no—
770C22×D4—84no—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2412yes—
774C22×D4C2411yescharacteristic
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2411yescharacteristic
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2412yes—
785C22×D4C2414yes—
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C23×C4—28no—
793C23×C4—24no—
794C23×C4—42no—
795C23×C4—42no—
796C23×C4—44no—
797C23×C4—42no—
798C23×C4—42no—
799C23×C4—44no—
800C23×C4#4118yes—
801C23×C4C2412yes—
802C23×C4C2412yes—
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2411yescharacteristic
807C23×C4C2411yescharacteristic
808C23×C4C2411yescharacteristic
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2411yescharacteristic
812C23×C4C2411yescharacteristic
813C23×C4C2414yes—
814C23×C4C2412yes—
815C23×C4C2411yescharacteristic
816C23×C4C2412yes—
817C23×C4C2412yes—
818C23×C4C2412yes—
819C23×C4C2412yes—
820C23×C4C2414yes—
821C23×C4C2414yes—
822C23×C4C2414yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C4⋊Q8—44no—
827#127—28no—
828#127—44no—
829#127—44no—
830#127—44no—
831#126—48no—
832#126—84no—
833#125—44no—
834#124—28no—
835#124—48no—
836#124—44no—
837#124—44no—
838#124—44no—
839#124—84no—
840#123—48no—
841#123—44no—
842#123—48no—
843#123—48no—
844#123—44no—
845#123—84no—
846#123—84no—
847#123—84no—
848#123—84no—
849C22⋊Q8—28no—
850C22⋊Q8—48no—
851C22⋊Q8—48no—
852C22⋊Q8—44no—
853C22⋊Q8—84no—
854#121—28no—
855#121—28no—
856#121—28no—
857#121—28no—
858#121—28no—
859#121—48no—
860#121—44no—
861#121—44no—
862#121—44no—
863#121—48no—
864#121—84no—
865#121—84no—
866#120—44no—
867#120—48no—
868#120—48no—
869#120—44no—
870#120—84no—
871C4×Q8—28no—
872C4×Q8—44no—
873C4×D4—28no—
874C4×D4—28no—
875C4×D4—28no—
876C4×D4—28no—
877C4×D4—28no—
878C4×D4—44no—
879C4×D4—48no—
880C4×D4—44no—
881C4×D4—44no—
882C4×D4—48no—
883C4×D4—48no—
884C4×D4—48no—
885C4×D4—84no—
886C4×D4—84no—
887#117—44no—
888#117—44no—
889#117—44no—
890#117—42no—
891#117—42no—
892#117—44no—
893#117—42no—
894#117—42no—
895C2×C4⋊C4—24no—
896C2×C4⋊C4—24no—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C22⋊C4—24no—
931C2×C22⋊C4—24no—
932C2×C22⋊C4—28no—
933C2×C22⋊C4—48no—
934C2×C22⋊C4—44no—
935C2×C22⋊C4—48no—
936C2×C22⋊C4—48no—
937C2×C22⋊C4—44no—
938C2×C22⋊C4—84no—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C42—24no—
1006C2×C42—42no—
1007C2×C42—42no—
1008C2×C42—44no—
1009C2×C42—42no—
1010C2×C42—42no—
1011C2×C42—44no—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2414yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088C24—24no—
1089C24—24no—
1090C24—24no—
1091C24—28no—
1092C24—22no—
1093C24—24no—
1094C24—28no—
1095C24—44no—
1096C24—41no—
1097C24—42no—
1098C24—41no—
1099C24—42no—
1100C24—42no—
1101C24—42no—
1102C24—41no—
1103C24—41no—
1104C24—42no—
1105C24—42no—
1106C24—44no—
1107C24C2×#4114yes—
1108C24C2512yes—
1109C24C2514yes—
1110C24C2512yes—
1111C24C2511yescharacteristic
1112C24C2511yescharacteristic
1113C24C2512yes—
1114C24C2511yescharacteristic
1115#41—232no—
1116#41—416no—
1117#41—416no—
1118#41—432no—
1119#41—416no—
1120#41—432no—
1121C2×Q8—22no—
1122C2×Q8—24no—
1123C2×Q8—22no—
1124C2×Q8—22no—
1125C2×Q8—22no—
1126C2×Q8—24no—
1127C2×Q8—22no—
1128C2×Q8—42no—
1129C2×Q8—44no—
1130C2×Q8—44no—
1131C2×Q8—44no—
1132C2×Q8—416no—
1133C2×Q8H(5,𝔽2)14yes—
1134C2×D4—24no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—28no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—28no—
1147C2×D4—28no—
1148C2×D4—28no—
1149C2×D4—28no—
1150C2×D4—22no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—22no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—22no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—416no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—432no—
1198C2×D4—416no—
1199C2×D4—88no—
1200C2×D4—832no—
1201C2×D4—816no—
1202C2×D4H(5,𝔽2)14yes—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—28no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—416no—
1231C22×C4—42no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—42no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4—44no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—432no—
1271C22×C4—88no—
1272C22×C4C2×#4114yes—
1273C22×C4C2×#4114yes—
1274C22×C4C2×#4114yes—
1275C22×C4C2×#4114yes—
1276C22×C4C2×#4114yes—
1277C22×C4C2×#4114yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2514yes—
1290C22×C4C2512yes—
1291C22×C4C2514yes—
1292C22×C4C2514yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—28no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C42—24no—
1400C42—24no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—28no—
1406C42—41no—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—42no—
1411C42—42no—
1412C42—44no—
1413C42—41no—
1414C42—41no—
1415C42—41no—
1416C42—41no—
1417C42—42no—
1418C42—42no—
1419C42—44no—
1420C42—44no—
1421C23—21no—
1422C23—21no—
1423C23—22no—
1424C23—22no—
1425C23—21no—
1426C23—21no—
1427C23—22no—
1428C23—21no—
1429C23—21no—
1430C23—22no—
1431C23—22no—
1432C23—24no—
1433C23—24no—
1434C23—22no—
1435C23—22no—
1436C23—28no—
1437C23—22no—
1438C23—24no—
1439C23—22no—
1440C23—24no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—24no—
1445C23—22no—
1446C23—24no—
1447C23—24no—
1448C23—24no—
1449C23—22no—
1450C23—22no—
1451C23—24no—
1452C23—22no—
1453C23—22no—
1454C23—24no—
1455C23—24no—
1456C23—44no—
1457C23—44no—
1458C23—48no—
1459C23—416no—
1460C23—44no—
1461C23—48no—
1462C23—48no—
1463C23—82no—
1464C23—84no—
1465C23—84no—
1466C23—84no—
1467C23—88no—
1468C23—82no—
1469C23—84no—
1470C23—84no—
1471C23—88no—
1472C23—88no—
1473C23—84no—
1474C23—84no—
1475C23C22×#4112yes—
1476C23C22×#4112yes—
1477C23C22×#4112yes—
1478C23C2×H(5,𝔽2)14yes—
1479C23#58514yes—
1480C23C2611yescharacteristic
1481Q8—28no—
1482Q8—48no—
1483Q8—44no—
1484Q8—164no—
1485D4—216no—
1486D4—28no—
1487D4—48no—
1488D4—48no—
1489D4—48no—
1490D4—48no—
1491D4—48no—
1492D4—416no—
1493D4—48no—
1494D4—44no—
1495D4—48no—
1496D4—84no—
1497D4—88no—
1498D4—88no—
1499D4—88no—
1500D4—88no—
1501D4—88no—
1502D4—88no—
1503D4—88no—
1504D4—164no—
1505D4—164no—
1506C2×C4—216no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—28no—
1516C2×C4—28no—
1517C2×C4—28no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—48no—
1573C2×C4—48no—
1574C2×C4—48no—
1575C2×C4—48no—
1576C2×C4—44no—
1577C2×C4—48no—
1578C2×C4—48no—
1579C2×C4—84no—
1580C2×C4—82no—
1581C2×C4—88no—
1582C2×C4—84no—
1583C2×C4—82no—
1584C2×C4—84no—
1585C2×C4—84no—
1586C2×C4—84no—
1587C2×C4—88no—
1588C2×C4—164no—
1589C2×C4—164no—
1590C2×C4C22×#4112yes—
1591C2×C4C22×#4112yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4112yes—
1594C2×C4C2×H(5,𝔽2)14yes—
1595C2×C4C2×H(5,𝔽2)12yes—
1596C2×C4C2×H(5,𝔽2)12yes—
1597C22—22no—
1598C22—22no—
1599C22—24no—
1600C22—24no—
1601C22—22no—
1602C22—22no—
1603C22—24no—
1604C22—22no—
1605C22—22no—
1606C22—28no—
1607C22—22no—
1608C22—22no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—44no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—44no—
1619C22—44no—
1620C22—42no—
1621C22—42no—
1622C22—44no—
1623C22—44no—
1624C22—44no—
1625C22—42no—
1626C22—42no—
1627C22—44no—
1628C22—42no—
1629C22—44no—
1630C22—42no—
1631C22—44no—
1632C22—42no—
1633C22—42no—
1634C22—44no—
1635C22—88no—
1636C22—816no—
1637C22—88no—
1638C22—168no—
1639C22#345514yes—
1640C22C23×#4111yescharacteristic
1641C22C22×H(5,𝔽2)11yescharacteristic
1642C22C22×H(5,𝔽2)11yescharacteristic
1643C22C2×#58512yes—
1644C22H(7,𝔽2)12yes—
1645C4—22no—
1646C4—22no—
1647C4—22no—
1648C4—24no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—44no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—44no—
1658C4—44no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—44no—
1663C4—42no—
1664C4—44no—
1665C4—42no—
1666C4#349014yes—
1667C2—24no—
1668C2—42no—
1669C2—44no—
1670C2—42no—
1671C2—82no—
1672C2—82no—
1673C2—84no—
1674C2C2×#345511yescharacteristic
1675C2C2×#349011yescharacteristic
1676C2#6285511yescharacteristic
1677C2#6289612yes—
1678C2#6289912yes—
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. #40640C2semidirect
2. #40638C2semidirect
3. #40550C2semidirect
4. #40549C2semidirect
5. #38113C2semidirect
6. #38110C2semidirect
7. #38062C2semidirect
8. #38061C2semidirect
9. #37696C2semidirect
10. #37694C2semidirect
11. #37670C2semidirect
12. #37669C2semidirect
13. #37501C2semidirect
14. #37498C2semidirect
15. #36821C2semidirect
16. #36818C2semidirect
17. #36815C2semidirect
18. #36812C2semidirect
19. #35371C2semidirect
20. #35195C2semidirect
21. #35156C2semidirect
22. #35076C2semidirect
23. #35033C2semidirect
24. #34998C2semidirect
25. #34736C2semidirect
26. C2×#2431C2semidirect
27. #34246C2semidirect
28. C22⋊C4×#41C2semidirect
29. #34057C2semidirect
31. C2×#542C22semidirect
32. C2×#540C22semidirect
33. C22×#127C22semidirect
34. C22×#124C22semidirect
35. C2×#525C22semidirect
36. C2×#525C22semidirect
38. C2×C4×#41C22semidirect
39. C2×C4×#41C22semidirect
41. #2857C22semidirect
42. #2854C22semidirect
43. #2854C22semidirect
44. #2853C22semidirect
45. #2852C22semidirect
46. #2851C22semidirect
47. #2850C22semidirect
48. #2847C22semidirect
49. #2826C22semidirect
50. #2825C22semidirect
51. #2825C22semidirect
52. #2824C22semidirect
53. #2798C22semidirect
54. #2796C22semidirect
55. #2789C22semidirect
56. #2760C22semidirect
57. #2758C22semidirect
58. #2754C22semidirect
59. #2752C22semidirect
60. #2751C22semidirect
61. #2749C22semidirect
62. #2749C22semidirect
63. #2730C22semidirect
64. #2715C22semidirect
65. #2712C22semidirect
66. #2710C22semidirect
67. #2709C22semidirect
68. #2709C22semidirect
69. #2706C22semidirect
70. #2706C22semidirect
71. #2705C22semidirect
72. #2705C22semidirect
73. #2705C22semidirect
74. #2700C22semidirect
75. #2696C22semidirect
76. #2696C22semidirect
77. #2693C22semidirect
78. #2693C22semidirect
79. #2678C22semidirect
80. #2678C22semidirect
81. #2673C22semidirect
82. #2673C22semidirect
83. #2670C22semidirect
84. #2668C22semidirect
85. #2653C22semidirect
86. #2649C22semidirect
87. #2648C22semidirect
88. #2648C22semidirect
89. #2645C22semidirect
90. #2644C22semidirect
91. #2641C22semidirect
92. #2640C22semidirect
93. #2636C22semidirect
94. #2636C22semidirect
95. #2635C22semidirect
96. #2635C22semidirect
97. #2635C22semidirect
98. #2631C22semidirect
99. #2631C22semidirect
100. #2630C22semidirect
101. #2630C22semidirect
103. #2625C22semidirect
104. #2624C22semidirect
105. #2620C22semidirect
106. #2619C22semidirect
107. #2608C22semidirect
108. #2608C22semidirect
109. #2607C22semidirect
110. #2607C22semidirect
111. #2591C22semidirect
112. #2578C22semidirect
113. #2578C22semidirect
114. #2576C22semidirect
115. #2576C22semidirect
116. #2572C22semidirect
117. #2559C22semidirect
118. #2557C22semidirect
119. #2553C22semidirect
120. #2539C22semidirect
121. #2518C22semidirect
122. #2518C22semidirect
123. #2514C22semidirect
124. #2512C22semidirect
127. #2510C22semidirect
128. #2505C22semidirect
129. #2505C22semidirect
130. #2491C22semidirect
131. #2489C22semidirect
132. #2488C22semidirect
134. #2480C22semidirect
135. #2480C22semidirect
136. #2477C22semidirect
137. #2476C22semidirect
140. #2471C22semidirect
141. #2470C22semidirect
142. #2467C22semidirect
143. #2463C22semidirect
144. #2459C22semidirect
145. #2457C22semidirect
146. #2457C22semidirect
147. #2456C22semidirect
148. #2456C22semidirect
149. #2455C22semidirect
150. #2453C22semidirect
151. #2452C22semidirect
152. #2448C22semidirect
153. #2447C22semidirect
154. #2445C22semidirect
155. #2445C22semidirect
156. #2444C22semidirect
157. #2441C22semidirect
158. #2441C22semidirect
159. #2439C22semidirect
160. #2439C22semidirect
161. #2437C22semidirect
162. #2437C22semidirect
167. #2431C22semidirect
168. #2431C22semidirect
169. #2431C22semidirect
170. #2431C22semidirect
171. #2428C22semidirect
172. #2428C22semidirect
173. #2427C22semidirect
174. #2427C22semidirect
175. #2426C22semidirect
176. #2425C22semidirect
177. #2422C22semidirect
178. #2421C22semidirect
179. #2420C22semidirect
180. #2414C22semidirect
181. #2414C22semidirect
189. #2407C22semidirect
190. #2407C22semidirect
191. #2406C22semidirect
194. #2405C22semidirect
195. #2405C22semidirect
196. #2404C22semidirect
199. #2388C22semidirect
201. #2364C22semidirect
202. #2363C22semidirect
203. #2363C22semidirect
204. #2345C22semidirect
205. #2341C22semidirect
206. Q8×C22⋊C4C22semidirect
207. #2339C22semidirect
208. #2339C22semidirect
211. D4×C22⋊C4C22semidirect
212. D4×C22⋊C4C22semidirect
213. #2333C22semidirect
214. #2333C22semidirect
215. #2329C22semidirect
216. #2328C22semidirect
217. #2326C22semidirect
218. #2324C22semidirect
219. #2323C22semidirect
221. #2320C22semidirect
222. #2319C22semidirect
225. #2318C22semidirect
226. #2318C22semidirect
228. #2313C22semidirect
229. #2313C22semidirect
230. #2312C22semidirect
231. #2312C22semidirect
232. #2312C22semidirect
234. C4×#121C22semidirect
235. C4×#121C22semidirect
237. #2297C22semidirect
238. #2297C22semidirect
239. #2297C22semidirect
240. #2297C22semidirect
241. #2297C22semidirect
242. #2297C22semidirect
243. C2×#391C22semidirect
244. C2×#390C22semidirect
247. #2290C22semidirect
248. #2290C22semidirect
249. C2×#386C22semidirect
250. #2283C22semidirect
253. #2280C22semidirect
254. #2280C22semidirect
255. #2273C22semidirect
258. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#406402
#406382
#405502
#405492
#381132
#381102
#380622
#380612
#376962
#376942
#376702
#376692
#375012
#374982
#368212
#368182
#368152
#368122
#353712
#351952
#351562
#350762
#350332
#349982
#347362
C2×#24312
#342462
C22⋊C4×#412
#340572