Finite Group Databasebeta

← #8458938

Subgroups — #8458938

Order 512.

5654 conjugacy classes of subgroups.

The subgroup lattice has 1919 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59305C211yesmaximal, characteristic, complemented
3#59214C211yesmaximal, characteristic, complemented
4#58729C214yesmaximal, complemented
5#55150C214yesmaximal, complemented
6#53521C214yesmaximal, complemented
7#52970C212yesmaximal, complemented
8#52957C212yesmaximal, complemented
9#49797C214yesmaximal, complemented
10#45608C212yesmaximal, complemented
11#45524C212yesmaximal, complemented
12#45036C212yesmaximal, complemented
13#44884C212yesmaximal, complemented
14#42916C212yesmaximal, complemented
15#42617C212yesmaximal, complemented
16#42448C212yesmaximal, complemented
17#42445C212yesmaximal, complemented
18#40221C212yesmaximal, complemented
19#40126C212yesmaximal, complemented
20#39688C212yesmaximal, complemented
21#39378C211yesmaximal, characteristic, complemented
22#39341C212yesmaximal, complemented
23#39341C211yesmaximal, characteristic, complemented
24#39341C211yesmaximal, characteristic, complemented
25#39138C211yesmaximal, characteristic, complemented
26#37621C211yesmaximal, characteristic, complemented
27#37298C212yesmaximal, complemented
28#37272C212yesmaximal, complemented
29#36477C211yesmaximal, characteristic, complemented
30#36455C211yesmaximal, characteristic, complemented
31#36182C211yesmaximal, characteristic, complemented
32#35273C211yesmaximal, characteristic, complemented
33#35171C211yesmaximal, characteristic, complemented
34#34925C211yesmaximal, characteristic, complemented
35#34724C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#550C2212yes—
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#547C2212yes—
41C2×#540C2212yes—
42C2×#540C2212yes—
43C2×#537C2212yes—
44C2×#537C2212yes—
45C2×#537C2212yes—
46C2×#532C2212yes—
47C2×#532C2211yescharacteristic
48C2×#532C2211yescharacteristic
49C2×#529C2211yescharacteristic
50C2×C4×#41C2211yescharacteristic
51#2859C2211yescharacteristic
52#2857C2212yes—
53#2856C2212yes—
54#2856C2211yescharacteristic
55#2856C2211yescharacteristic
56#2856C2212yes—
57#2856C2212yes—
58#2855C2212yes—
59#2854C2212yes—
60#2829C2214yes—
61#2828C2214yes—
62#2826C2214yes—
63#2824C2214yes—
64#2814C2214yes—
65#2813C2214yes—
66#2813C2214yes—
67#2813C2214yes—
68#2803C2214yes—
69#2800C2214yes—
70#2790C2214yes—
71#2788C2214yes—
72#2784C2214yes—
73#2780C2214yes—
74#2780C2214yes—
75#2751C2214yes—
76#2750C2214yes—
77#2730C2214yes—
78#2729C2214yes—
79#2714C2214yes—
80#2714C2214yes—
81#2701C2214yes—
82#2701C2214yes—
83#2701C2214yes—
84#2701C2214yes—
85#2699C2214yes—
86#2699C2214yes—
87#2695C2214yes—
88#2691C2214yes—
89#2688C2214yes—
90#2688C2214yes—
91#2686C2214yes—
92#2682C2214yes—
93#2682C2214yes—
94#2682C2214yes—
95#2682C2214yes—
96#2682C2214yes—
97#2682C2214yes—
98#2681C2214yes—
99#2676C2214yes—
100#2676C2214yes—
101#2676C2214yes—
102#2676C2214yes—
103#2675C2214yes—
104#2675C2214yes—
105#2675C2214yes—
106#2675C2214yes—
107#2675C2214yes—
108#2675C2214yes—
109#2675C2214yes—
110#2673C2214yes—
111#2673C2214yes—
112#2673C2214yes—
113#2673C2214yes—
114#2673C2214yes—
115#2671C2214yes—
116#2671C2214yes—
117#2662C2214yes—
118#2661C2214yes—
119#2661C2214yes—
120#2648C2214yes—
121#2635C2214yes—
122#2630C2214yes—
123#2629C2212yes—
124#2628C2212yes—
125#2620C2214yes—
126#2619C2212yes—
127#2619C2212yes—
128#2618C2214yes—
129#2616C2212yes—
130#2615C2212yes—
131#2615C2212yes—
132#2615C2212yes—
133#2608C2214yes—
134#2587C2214yes—
135#2587C2214yes—
136#2587C2214yes—
137#2583C2214yes—
138#2579C2214yes—
139#2570C2212yes—
140#2566C2212yes—
141#2566C2212yes—
142#2566C2212yes—
143#2566C2212yes—
144#2562C2212yes—
145#2555C2212yes—
146#2555C2212yes—
147#2554C2214yes—
148#2552C2211yescharacteristic
149#2551C2211yescharacteristic
150#2541C2214yes—
151#2541C2211yescharacteristic
152#2541C2211yescharacteristic
153#2541C2212yes—
154#2541C2211yescharacteristic
155#2541C2211yescharacteristic
156#2541C2212yes—
157#2541C2212yes—
158#2541C2212yes—
159#2541C2212yes—
160#2541C2212yes—
161#2540C2212yes—
162#2538C2212yes—
163#2538C2212yes—
164#2538C2211yescharacteristic
165#2538C2211yescharacteristic
166#2538C2211yescharacteristic
167#2538C2211yescharacteristic
168#2537C2212yes—
169#2537C2211yescharacteristic
170#2537C2212yes—
171#2537C2211yescharacteristic
172#2537C2211yescharacteristic
173#2537C2212yes—
174#2537C2211yescharacteristic
175#2535C2212yes—
176#2512C2212yes—
177#2512C2212yes—
178#2509C2212yes—
179#2507C2212yes—
180#2504C2212yes—
181#2502C2212yes—
182#2500C2212yes—
183#2497C2212yes—
184#2497C2212yes—
185#2497C2212yes—
186#2491C2212yes—
187#2491C2211yescharacteristic
188#2491C2211yescharacteristic
189#2490C2212yes—
190#2490C2212yes—
191#2487C2212yes—
192#2486C2212yes—
193#2486C2212yes—
194#2478C2212yes—
195#2470C2212yes—
196#2466C2212yes—
197#2464C2214yes—
198#2464C2214yes—
199#2456C2214yes—
200#2455C2212yes—
201#2453C2211yescharacteristic
202#2452C2214yes—
203#2452C2212yes—
204#2452C2212yes—
205#2449C2214yes—
206#2447C2211yescharacteristic
207#2445C2212yes—
208#2445C2212yes—
209#2442C2212yes—
210#2441C2212yes—
211#2441C2211yescharacteristic
212#2432C2211yescharacteristic
213#2431C2212yes—
214#2429C2212yes—
215#2429C2211yescharacteristic
216#2428C2212yes—
217#2428C2214yes—
218#2428C2212yes—
219#2428C2212yes—
220#2428C2214yes—
221#2428C2212yes—
222#2428C2211yescharacteristic
223#2428C2211yescharacteristic
224#2428C2214yes—
225#2428C2214yes—
226#2428C2212yes—
227#2428C2212yes—
228#2428C2212yes—
229#2428C2212yes—
230#2422C2212yes—
231#2422C2212yes—
232#2422C2212yes—
233#2422C2211yescharacteristic
234#2420C2212yes—
235#2420C2212yes—
236#2417C2212yes—
237#2416C2212yes—
238#2416C2214yes—
239#2416C2212yes—
240#2416C2212yes—
241#2416C2212yes—
242#2416C2214yes—
243#2416C2212yes—
244#2416C2212yes—
245#2416C2214yes—
246#2416C2212yes—
247#2416C2212yes—
248#2415C2211yescharacteristic
249#2414C2214yes—
250#2414C2212yes—
251#2414C2212yes—
252#2414C2212yes—
253#2407C2212yes—
254#2407C2212yes—
255#2407C2212yes—
256#2407C2212yes—
257#2407C2212yes—
258#2407C2211yescharacteristic
259#2395C2212yes—
260#2392C2212yes—
261#2388C2212yes—
262#2388C2212yes—
263#2377C2214yes—
264#2370C2212yes—
265#2363C2212yes—
266#2361C2212yes—
267#2361C2212yes—
268#2361C2212yes—
269#2360C2212yes—
270#2357C2212yes—
271#2355C2211yescharacteristic
272Q8×C4⋊C4C2211yescharacteristic
273D4×C4⋊C4C2212yes—
274D4×C4⋊C4C2211yescharacteristic
275D4×C4⋊C4C2212yes—
276D4×C4⋊C4C2211yescharacteristic
277#2341C2212yes—
278#2333C2214yes—
279#2324C2212yes—
280#2324C2212yes—
281#2311C2212yes—
282C4×C4⋊Q8C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#127C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#123C2212yes—
289C4×#121C2212yes—
290C4×#121C2212yes—
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic
293#2296C2212yes—
294#2293C2211yescharacteristic
295#2285C2211yescharacteristic
296C2×#384C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304#553—48no—
305#550—44no—
306#550—44no—
307#550—48no—
308#547—48no—
309#540—48no—
310#540—48no—
311#537—48no—
312#537—48no—
313#537—48no—
314#532—44no—
315#532—44no—
316#532—48no—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2312yes—
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2311yescharacteristic
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2314yes—
330C2×#127C2312yes—
331C2×#127C2314yes—
332#529—44no—
333C2×#126C2312yes—
334C2×#126C2314yes—
335C2×#125C2312yes—
336C2×#125C2311yescharacteristic
337C2×#125C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2311yescharacteristic
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2314yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2311yescharacteristic
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2311yescharacteristic
388C2×#121C2311yescharacteristic
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2311yescharacteristic
399C2×#121C2311yescharacteristic
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C4×#41—44no—
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2312yes—
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2314yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2314yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2314yes—
453C2×#117C2312yes—
454C2×#117C2311yescharacteristic
455C2×#117C2312yes—
456C2×#117C2312yes—
457C2×#117C2312yes—
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2314yes—
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2312yes—
464C22×C42C2311yescharacteristic
465C22×C42C2311yescharacteristic
466C22×C42C2312yes—
467C22×C42C2312yes—
468#400C2314yes—
469#400C2314yes—
470#400C2314yes—
471#400C2314yes—
472#400C2314yes—
473#400C2312yes—
474#399C2312yes—
475#399C2314yes—
476#399C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2312yes—
484#398C2312yes—
485#398C2314yes—
486#397C2312yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2312yes—
491#397C2314yes—
492#397C2314yes—
493#397C2312yes—
494#397C2314yes—
495#397C2312yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2312yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2312yes—
517#395C2312yes—
518#395C2314yes—
519#395C2312yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2314yes—
527#394C2314yes—
528#394C2312yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2312yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2312yes—
544#394C2314yes—
545#394C2314yes—
546#394C2312yes—
547#394C2312yes—
548#394C2312yes—
549#394C2312yes—
550#394C2312yes—
551#394C2314yes—
552#394C2312yes—
553#394C2312yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#393C2312yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2312yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2312yes—
578#392C2314yes—
579#392C2312yes—
580#392C2312yes—
581#392C2312yes—
582#392C2312yes—
583#392C2312yes—
584#392C2312yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#391C2311yescharacteristic
595#391C2311yescharacteristic
596#391C2314yes—
597#391C2312yes—
598#391C2311yescharacteristic
599#391C2311yescharacteristic
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2311yescharacteristic
605#390C2312yes—
606#390C2312yes—
607#390C2311yescharacteristic
608#390C2311yescharacteristic
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2312yes—
620#390C2314yes—
621#390C2314yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2314yes—
626#390C2311yescharacteristic
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2314yes—
631#390C2314yes—
632#390C2314yes—
633#390C2314yes—
634#390C2311yescharacteristic
635#390C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2312yes—
643#389C2314yes—
644#389C2314yes—
645#389C2314yes—
646#389C2312yes—
647#389C2314yes—
648#389C2312yes—
649#389C2312yes—
650#389C2314yes—
651#389C2311yescharacteristic
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2314yes—
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2312yes—
667#389C2311yescharacteristic
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2314yes—
685#388C2312yes—
686#388C2312yes—
687#388C2312yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2312yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2312yes—
697#387C2314yes—
698#387C2312yes—
699#387C2312yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#384C2311yescharacteristic
753#384C2312yes—
754#384C2312yes—
755#384C2311yescharacteristic
756#384C2311yescharacteristic
757#384C2312yes—
758#384C2312yes—
759#384C2312yes—
760#382C2312yes—
761#382C2312yes—
762#382C2312yes—
763#381C2314yes—
764#381C2314yes—
765#381C2312yes—
766#381C2314yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2314yes—
779#380C2311yescharacteristic
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2311yescharacteristic
789#380C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2311yescharacteristic
824C43C2311yescharacteristic
825C2×#41—24no—
826C2×#41—28no—
827C2×#41—24no—
828C2×#41—28no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—42no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41—44no—
840C22×Q8C2411yescharacteristic
841C22×Q8C2411yescharacteristic
842C22×Q8C2412yes—
843C22×Q8C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2411yescharacteristic
889C23×C4C2414yes—
890C23×C4C2414yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2414yes—
896C23×C4C2414yes—
897C23×C4C2414yes—
898C23×C4C2414yes—
899C4⋊Q8—24no—
900C4⋊Q8—42no—
901C4⋊Q8—42no—
902C4⋊Q8—44no—
903#127—24no—
904#127—24no—
905#127—42no—
906#127—42no—
907#127—44no—
908#127—44no—
909#127—44no—
910#127—44no—
911#127—44no—
912#127—48no—
913#127—84no—
914#126—44no—
915#126—48no—
916#125—28no—
917#125—42no—
918#125—44no—
919#124—44no—
920#124—44no—
921#124—42no—
922#124—44no—
923#124—44no—
924#123—44no—
925#123—44no—
926#123—48no—
927#123—48no—
928#123—48no—
929#123—48no—
930#123—48no—
931#123—48no—
932#123—48no—
933C22⋊Q8—28no—
934C22⋊Q8—24no—
935C22⋊Q8—28no—
936C22⋊Q8—24no—
937C22⋊Q8—48no—
938C22⋊Q8—48no—
939C22⋊Q8—48no—
940C22⋊Q8—42no—
941C22⋊Q8—44no—
942C22⋊Q8—44no—
943#121—28no—
944#121—24no—
945#121—28no—
946#121—24no—
947#121—44no—
948#121—48no—
949#121—44no—
950#121—44no—
951#121—48no—
952#121—48no—
953#121—48no—
954#121—48no—
955#121—48no—
956#121—44no—
957#121—48no—
958#121—44no—
959#121—44no—
960#121—48no—
961#121—48no—
962#121—48no—
963#121—48no—
964#121—48no—
965#121—48no—
966#121—48no—
967#121—48no—
968#121—48no—
969#121—48no—
970#121—48no—
971#121—44no—
972#121—44no—
973#121—48no—
974#121—48no—
975#121—48no—
976#121—42no—
977#121—42no—
978#121—42no—
979#121—42no—
980#121—42no—
981#121—44no—
982#121—44no—
983#121—44no—
984#121—44no—
985#121—44no—
986#121—44no—
987#121—44no—
988#121—44no—
989#121—44no—
990#121—44no—
991#121—44no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—84no—
996#121—84no—
997#121—82no—
998#121—84no—
999#121—84no—
1000C4×Q8—24no—
1001C4×Q8—24no—
1002C4×Q8—42no—
1003C4×Q8—44no—
1004C4×D4—24no—
1005C4×D4—28no—
1006C4×D4—24no—
1007C4×D4—24no—
1008C4×D4—24no—
1009C4×D4—24no—
1010C4×D4—24no—
1011C4×D4—24no—
1012C4×D4—28no—
1013C4×D4—24no—
1014C4×D4—42no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—44no—
1022C4×D4—44no—
1023C4×D4—44no—
1024C4×D4—44no—
1025C4×D4—44no—
1026C4×D4—44no—
1027C4×D4—42no—
1028C4×D4—44no—
1029C4×D4—48no—
1030C4×D4—48no—
1031C4×D4—82no—
1032C4×D4—84no—
1033#117—28no—
1034#117—44no—
1035#117—44no—
1036#117—42no—
1037#117—44no—
1038C2×C4⋊C4—44no—
1039C2×C4⋊C4—44no—
1040C2×C4⋊C4—44no—
1041C2×C4⋊C4—48no—
1042C2×C4⋊C4—44no—
1043C2×C4⋊C4—82no—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C42—24no—
1179C2×C42—24no—
1180C2×C42—44no—
1181C2×C42—44no—
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2412yes—
1196C2×C42C2414yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2414yes—
1199C2×C42C2412yes—
1200C2×C42C2414yes—
1201C2×C42C2411yescharacteristic
1202C2×C42C2412yes—
1203C2×C42C2412yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206#95C2412yes—
1207#95C2412yes—
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2412yes—
1212#95C2411yescharacteristic
1213#95C2412yes—
1214#95C2412yes—
1215#95C2411yescharacteristic
1216#95C2412yes—
1217#95C2411yescharacteristic
1218#95C2412yes—
1219#95C2414yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252C24C2512yes—
1253C24C2512yes—
1254C24C2511yescharacteristic
1255C24C2512yes—
1256C24C2514yes—
1257C24C2512yes—
1258C24C2511yescharacteristic
1259#41—416no—
1260#41—816no—
1261#41—816no—
1262#41—816no—
1263#41—816no—
1264C2×Q8—22no—
1265C2×Q8—22no—
1266C2×Q8—22no—
1267C2×Q8—22no—
1268C2×Q8—22no—
1269C2×Q8—24no—
1270C2×Q8—42no—
1271C2×Q8—42no—
1272C2×Q8—42no—
1273C2×Q8—42no—
1274C2×Q8—42no—
1275C2×Q8H(5,𝔽2)14yes—
1276C2×D4—22no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—28no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—24no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—22no—
1296C2×D4—24no—
1297C2×D4—22no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—28no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—22no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—24no—
1309C2×D4—28no—
1310C2×D4—24no—
1311C2×D4—42no—
1312C2×D4—41no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—44no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—44no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—44no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—24no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—28no—
1410C22×C4—28no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—42no—
1415C22×C4—41no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—41no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—41no—
1430C22×C4—42no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4H(5,𝔽2)14yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2514yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2514yes—
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2514yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C22×C4C2512yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—28no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—22no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—28no—
1492C4⋊C4—22no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—28no—
1496C4⋊C4—24no—
1497C4⋊C4—28no—
1498C4⋊C4—24no—
1499C4⋊C4—22no—
1500C4⋊C4—24no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—44no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—42no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C42−1+414yes—
1529C22⋊C4—24no—
1530C22⋊C4—22no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—22no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—28no—
1541C22⋊C4—22no—
1542C22⋊C4—24no—
1543C22⋊C4—22no—
1544C22⋊C4—28no—
1545C22⋊C4—28no—
1546C22⋊C4—24no—
1547C22⋊C4—28no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—28no—
1552C22⋊C4—22no—
1553C22⋊C4—24no—
1554C22⋊C4—28no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—41no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—42no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—22no—
1607C42—22no—
1608C42—22no—
1609C42—22no—
1610C42—24no—
1611C42—24no—
1612C42—24no—
1613C42—24no—
1614C42—22no—
1615C42—22no—
1616C42—42no—
1617C42—42no—
1618C42—42no—
1619C42—42no—
1620C42—44no—
1621C42—41no—
1622C42—44no—
1623C42—41no—
1624C42—44no—
1625C42H(5,𝔽2)14yes—
1626C42H(5,𝔽2)14yes—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—22no—
1634C23—22no—
1635C23—21no—
1636C23—22no—
1637C23—22no—
1638C23—21no—
1639C23—24no—
1640C23—22no—
1641C23—21no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—24no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—24no—
1652C23—21no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—24no—
1657C23—22no—
1658C23—22no—
1659C23—24no—
1660C23—22no—
1661C23—22no—
1662C23—21no—
1663C23—21no—
1664C23—22no—
1665C23—24no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—24no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—21no—
1675C23C2×H(5,𝔽2)12yes—
1676C23C2611yescharacteristic
1677Q8—28no—
1678Q8—44no—
1679Q8—84no—
1680Q8—84no—
1681D4—44no—
1682D4—48no—
1683D4—48no—
1684D4—44no—
1685D4—48no—
1686D4—48no—
1687D4—44no—
1688D4—44no—
1689D4—44no—
1690D4—84no—
1691D4—84no—
1692D4—84no—
1693D4—88no—
1694D4—84no—
1695D4—84no—
1696D4—84no—
1697D4—88no—
1698D4—88no—
1699D4—84no—
1700D4—84no—
1701D4—84no—
1702D4—84no—
1703D4—84no—
1704D4—84no—
1705D4—84no—
1706D4—88no—
1707D4—164no—
1708D4—164no—
1709D4—164no—
1710D4—164no—
1711D4—164no—
1712D4—164no—
1713D4—164no—
1714D4—164no—
1715D4—164no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—28no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—24no—
1748C2×C4—24no—
1749C2×C4—21no—
1750C2×C4—24no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—24no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—24no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—24no—
1787C2×C4—22no—
1788C2×C4—44no—
1789C2×C4—48no—
1790C2×C4—48no—
1791C2×C4—48no—
1792C2×C4—44no—
1793C2×C4—48no—
1794C2×C4—44no—
1795C2×C4—44no—
1796C2×C4—48no—
1797C2×C4—84no—
1798C2×C4—88no—
1799C2×C4—84no—
1800C2×C4—84no—
1801C2×C4—82no—
1802C2×C4—88no—
1803C2×C4—88no—
1804C2×C4—164no—
1805C2×C4—164no—
1806C2×C4—164no—
1807C2×C4C2×H(5,𝔽2)12yes—
1808C2×C4C2×H(5,𝔽2)12yes—
1809C2×C4C2×H(5,𝔽2)12yes—
1810C2×C4C2×H(5,𝔽2)12yes—
1811C2×C4C2×H(5,𝔽2)14yes—
1812C2×C4C2×H(5,𝔽2)12yes—
1813C2×C4C2×H(5,𝔽2)12yes—
1814C2×C4C2×H(5,𝔽2)12yes—
1815C2×C4C2×H(5,𝔽2)12yes—
1816C2×C4C2×H(5,𝔽2)12yes—
1817C2×C4C2×2−1+414yes—
1818C2×C4C2×2−1+412yes—
1819C2×C4#58512yes—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—41no—
1832C22—44no—
1833C22—42no—
1834C22—41no—
1835C22—44no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—41no—
1842C22—42no—
1843C22—42no—
1844C22—44no—
1845C22—42no—
1846C22—42no—
1847C22—41no—
1848C22—42no—
1849C22—44no—
1850C22—42no—
1851C22—44no—
1852C22—42no—
1853C22—42no—
1854C22—41no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—41no—
1860C22—42no—
1861C22—44no—
1862C22—42no—
1863C22—41no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—44no—
1868C22—42no—
1869C22C22×H(5,𝔽2)11yescharacteristic
1870C22C22×H(5,𝔽2)11yescharacteristic
1871C22C22×H(5,𝔽2)11yescharacteristic
1872C22C22×H(5,𝔽2)11yescharacteristic
1873C22C22×2−1+411yescharacteristic
1874C22C2×#58511yescharacteristic
1875C22H(7,𝔽2)11yescharacteristic
1876C4—22no—
1877C4—24no—
1878C4—22no—
1879C4—22no—
1880C4—24no—
1881C4—22no—
1882C4—22no—
1883C4—42no—
1884C4—42no—
1885C4—41no—
1886C4—42no—
1887C4—42no—
1888C4—41no—
1889C4—41no—
1890C4—42no—
1891C4—41no—
1892C4—42no—
1893C4—42no—
1894C4—44no—
1895C4—44no—
1896C4—42no—
1897C4—44no—
1898C4—41no—
1899C4—41no—
1900C4—42no—
1901C4—42no—
1902C4#353714yes—
1903C4#354814yes—
1904C2—42no—
1905C2—82no—
1906C2—81no—
1907C2—82no—
1908C2—82no—
1909C2—82no—
1910C2—84no—
1911C2C2×#353711yescharacteristic
1912C2C2×#354811yescharacteristic
1913C2#6283411yescharacteristic
1914C2#6291611yescharacteristic
1915C2#6294411yescharacteristic
1916C2#6295711yescharacteristic
1917C2#6303911yescharacteristic
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. #59815C2semidirect
2. #59305C2semidirect
3. #59214C2semidirect
4. #58729C2semidirect
5. #55150C2semidirect
6. #53521C2semidirect
7. #52970C2semidirect
8. #52957C2semidirect
9. #49797C2semidirect
10. #45608C2semidirect
11. #45524C2semidirect
12. #45036C2semidirect
13. #44884C2semidirect
14. #42916C2semidirect
15. #42617C2semidirect
16. #42448C2semidirect
17. #42445C2semidirect
18. #40221C2semidirect
19. #40126C2semidirect
20. #39688C2semidirect
21. #39378C2semidirect
22. #39341C2semidirect
23. #39341C2semidirect
24. #39341C2semidirect
25. #39138C2semidirect
26. #37621C2semidirect
27. #37298C2semidirect
28. #37272C2semidirect
29. #36477C2semidirect
30. #36455C2semidirect
31. #36182C2semidirect
32. #35273C2semidirect
33. #35171C2semidirect
34. #34925C2semidirect
35. #34724C2semidirect

Maximal subgroups

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

subgroupindex
#598152
#593052
#592142
#587292
#551502
#535212
#529702
#529572
#497972
#456082
#455242
#450362
#448842
#429162
#426172
#424482
#424452
#402212
#401262
#396882
#393782
#393412
#391382
#376212
#372982
#372722
#364772
#364552
#361822
#352732
#351712
#349252
#347242