Finite Group Databasebeta

← #7779556

Subgroups — #7779556

Order 512.

5623 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59770C212yesmaximal, complemented
2#59218C211yesmaximal, characteristic, complemented
3#59217C211yesmaximal, characteristic, complemented
4#59058C212yesmaximal, complemented
5#59051C211yesmaximal, characteristic, complemented
6#59033C211yesmaximal, characteristic, complemented
7#50744C214yesmaximal, complemented
8#49986C214yesmaximal, complemented
9#47622C214yesmaximal, complemented
10#46690C214yesmaximal, complemented
11#45608C212yesmaximal, complemented
12#45608C212yesmaximal, complemented
13#45386C212yesmaximal, complemented
14#45373C212yesmaximal, complemented
15#42855C212yesmaximal, complemented
16#42584C212yesmaximal, complemented
17#40068C212yesmaximal, complemented
18#40030C212yesmaximal, complemented
19#39471C211yesmaximal, characteristic, complemented
20#39462C212yesmaximal, complemented
21#39341C212yesmaximal, complemented
22#39341C211yesmaximal, characteristic, complemented
23#39247C212yesmaximal, complemented
24#39138C212yesmaximal, complemented
25#37317C212yesmaximal, complemented
26#36596C211yesmaximal, characteristic, complemented
27#36596C211yesmaximal, characteristic, complemented
28#36552C211yesmaximal, characteristic, complemented
29#36455C211yesmaximal, characteristic, complemented
30#36404C211yesmaximal, characteristic, complemented
31#36116C211yesmaximal, characteristic, complemented
32#35292C211yesmaximal, characteristic, complemented
33#34937C211yesmaximal, characteristic, complemented
34#34410C212yesmaximal, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#553C2212yes—
38C2×#550C2212yes—
39C2×#550C2211yescharacteristic
40C2×#550C2212yes—
41C2×#547C2211yescharacteristic
42C2×#537C2211yescharacteristic
43C2×#537C2212yes—
44C2×#532C2212yes—
45C2×#532C2211yescharacteristic
46C2×#532C2211yescharacteristic
47C2×#529C2212yes—
48C2×C4×#41C2211yescharacteristic
49C2×C4×#41C2211yescharacteristic
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2856C2212yes—
53#2856C2212yes—
54#2856C2211yescharacteristic
55#2856C2212yes—
56#2856C2211yescharacteristic
57#2855C2212yes—
58#2855C2212yes—
59#2851C2212yes—
60#2829C2214yes—
61#2829C2214yes—
62#2783C2214yes—
63#2781C2214yes—
64#2780C2214yes—
65#2780C2214yes—
66#2779C2214yes—
67#2772C2214yes—
68#2761C2214yes—
69#2751C2214yes—
70#2751C2214yes—
71#2750C2214yes—
72#2727C2214yes—
73#2716C2214yes—
74#2714C2214yes—
75#2714C2214yes—
76#2714C2214yes—
77#2714C2214yes—
78#2714C2214yes—
79#2714C2214yes—
80#2710C2214yes—
81#2709C2214yes—
82#2703C2214yes—
83#2703C2214yes—
84#2699C2214yes—
85#2699C2214yes—
86#2691C2214yes—
87#2691C2214yes—
88#2688C2214yes—
89#2688C2214yes—
90#2688C2214yes—
91#2688C2214yes—
92#2688C2214yes—
93#2676C2214yes—
94#2676C2214yes—
95#2676C2214yes—
96#2675C2214yes—
97#2675C2214yes—
98#2675C2214yes—
99#2673C2214yes—
100#2673C2214yes—
101#2673C2214yes—
102#2652C2214yes—
103#2648C2214yes—
104#2648C2214yes—
105#2624C2212yes—
106#2619C2214yes—
107#2615C2212yes—
108#2615C2212yes—
109#2615C2212yes—
110#2601C2214yes—
111#2592C2212yes—
112#2590C2214yes—
113#2580C2212yes—
114#2568C2211yescharacteristic
115#2562C2212yes—
116#2559C2214yes—
117#2559C2214yes—
118#2557C2214yes—
119#2554C2214yes—
120#2554C2214yes—
121#2552C2211yescharacteristic
122#2552C2211yescharacteristic
123#2548C2211yescharacteristic
124#2547C2211yescharacteristic
125#2547C2211yescharacteristic
126#2546C2211yescharacteristic
127#2545C2212yes—
128#2544C2212yes—
129#2544C2212yes—
130#2543C2214yes—
131#2543C2212yes—
132#2543C2214yes—
133#2543C2212yes—
134#2541C2214yes—
135#2541C2212yes—
136#2541C2212yes—
137#2541C2211yescharacteristic
138#2541C2212yes—
139#2541C2211yescharacteristic
140#2541C2211yescharacteristic
141#2540C2212yes—
142#2540C2212yes—
143#2538C2211yescharacteristic
144#2538C2212yes—
145#2537C2212yes—
146#2537C2212yes—
147#2537C2211yescharacteristic
148#2535C2212yes—
149#2535C2212yes—
150#2535C2214yes—
151#2512C2212yes—
152#2512C2212yes—
153#2512C2212yes—
154#2511C2212yes—
155#2508C2212yes—
156#2505C2214yes—
157#2502C2212yes—
158#2497C2212yes—
159#2497C2212yes—
160#2496C2212yes—
161#2496C2212yes—
162#2492C2212yes—
163#2490C2212yes—
164#2490C2212yes—
165#2490C2212yes—
166#2490C2212yes—
167#2487C2212yes—
168#2486C2212yes—
169#2485C2212yes—
170#2485C2212yes—
171#2478C2214yes—
172#2476C2214yes—
173#2471C2214yes—
174#2470C2214yes—
175#2468C2214yes—
176#2467C2214yes—
177#2466C2214yes—
178#2464C2214yes—
179#2459C2214yes—
180#2457C2214yes—
181#2456C2214yes—
182#2456C2214yes—
183#2453C2212yes—
184#2453C2212yes—
185#2452C2214yes—
186#2452C2212yes—
187#2447C2212yes—
188#2447C2212yes—
189#2445C2214yes—
190#2445C2212yes—
191#2445C2212yes—
192#2444C2214yes—
193#2444C2214yes—
194#2431C2212yes—
195#2431C2212yes—
196#2431C2212yes—
197#2428C2214yes—
198#2428C2212yes—
199#2428C2212yes—
200#2428C2214yes—
201#2428C2214yes—
202#2428C2212yes—
203#2428C2212yes—
204#2426C2212yes—
205#2425C2214yes—
206#2420C2212yes—
207#2420C2212yes—
208#2419C2214yes—
209#2416C2212yes—
210#2416C2211yescharacteristic
211#2416C2211yescharacteristic
212#2416C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2416C2212yes—
216#2416C2211yescharacteristic
217#2416C2211yescharacteristic
218#2415C2212yes—
219#2414C2212yes—
220#2414C2212yes—
221#2414C2212yes—
222#2414C2212yes—
223#2414C2214yes—
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yes—
227#2407C2212yes—
228#2407C2212yes—
229#2407C2212yes—
230#2407C2212yes—
231#2407C2212yes—
232#2392C2212yes—
233#2392C2212yes—
234#2377C2214yes—
235#2377C2214yes—
236#2370C2212yes—
237#2366C2211yescharacteristic
238#2365C2211yescharacteristic
239#2364C2214yes—
240#2363C2214yes—
241#2363C2212yes—
242#2363C2212yes—
243#2363C2212yes—
244#2362C2212yes—
245#2361C2212yes—
246#2360C2212yes—
247#2360C2212yes—
248#2355C2212yes—
249#2354C2211yescharacteristic
250#2354C2211yescharacteristic
251#2352C2212yes—
252Q8×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2212yes—
254D4×C4⋊C4C2211yescharacteristic
255#2345C2212yes—
256#2344C2212yes—
257#2341C2212yes—
258#2339C2212yes—
259#2339C2212yes—
260#2333C2214yes—
261#2332C2214yes—
262#2329C2214yes—
263#2325C2212yes—
264#2325C2212yes—
265#2324C2212yes—
266#2324C2211yescharacteristic
267#2324C2211yescharacteristic
268#2324C2212yes—
269#2324C2214yes—
270#2324C2212yes—
271#2323C2212yes—
272#2323C2211yescharacteristic
273#2323C2211yescharacteristic
274#2316C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2212yes—
277#2311C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2212yes—
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic
293C4×#121C2212yes—
294#2297C2212yes—
295#2297C2212yes—
296#2285C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305#553—48no—
306#553—48no—
307#550—44no—
308#550—48no—
309#550—48no—
310#547—44no—
311#537—28no—
312#537—216no—
313#532—44no—
314#532—44no—
315#532—48no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2314yes—
324C2×#127C2312yes—
325C2×#127C2314yes—
326C2×#127C2311yescharacteristic
327#529—48no—
328C2×#126C2314yes—
329C2×#126C2314yes—
330C2×#126C2314yes—
331C2×#126C2314yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×#121C2314yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2311yescharacteristic
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2311yescharacteristic
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2311yescharacteristic
388C2×#121C2314yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C4×#41—44no—
399C4×#41—44no—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2311yescharacteristic
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2314yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2312yes—
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2314yes—
436C2×#117C2311yescharacteristic
437C2×#117C2311yescharacteristic
438C2×#117C2312yes—
439C2×#117C2311yescharacteristic
440C2×#117C2311yescharacteristic
441C2×#117C2312yes—
442C2×#117C2314yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453C22×C42C2311yescharacteristic
454C22×C42C2312yes—
455C22×C42C2312yes—
456C22×C42C2312yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#399C2314yes—
465#399C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2312yes—
471#398C2312yes—
472#398C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#396C2312yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2312yes—
493#396C2312yes—
494#396C2312yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2312yes—
514#394C2312yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2312yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2312yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#391C2311yescharacteristic
554#391C2311yescharacteristic
555#391C2312yes—
556#391C2314yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2314yes—
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2311yescharacteristic
587#390C2312yes—
588#390C2312yes—
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2311yescharacteristic
597#390C2314yes—
598#390C2312yes—
599#390C2312yes—
600#390C2314yes—
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2314yes—
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2312yes—
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2314yes—
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2314yes—
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2314yes—
662#388C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2314yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2314yes—
703#386C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2314yes—
708#386C2312yes—
709#386C2314yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2314yes—
724#386C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2312yes—
728#385C2312yes—
729#385C2312yes—
730#385C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2312yes—
746#384C2312yes—
747#384C2312yes—
748#382C2312yes—
749#382C2312yes—
750#382C2314yes—
751#381C2314yes—
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2314yes—
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2312yes—
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2314yes—
770#380C2312yes—
771#380C2314yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2312yes—
783#380C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C2×#95C2312yes—
822C2×#95C2314yes—
823C2×#95C2312yes—
824C2×#41—24no—
825C2×#41—28no—
826C2×#41—24no—
827C2×#41—28no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—42no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—42no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41—44no—
840C2×#41—44no—
841C2×#41—44no—
842C22×Q8C2412yes—
843C22×Q8C2411yescharacteristic
844C22×Q8C2411yescharacteristic
845C22×Q8C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2411yescharacteristic
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C23×C4C2411yescharacteristic
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2414yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2414yes—
895C23×C4C2414yes—
896C23×C4C2412yes—
897C23×C4C2414yes—
898C23×C4C2414yes—
899C23×C4C2412yes—
900C4⋊Q8—24no—
901C4⋊Q8—42no—
902C4⋊Q8—44no—
903#127—24no—
904#127—42no—
905#127—44no—
906#127—44no—
907#127—44no—
908#127—48no—
909#127—44no—
910#127—48no—
911#126—48no—
912#126—48no—
913#126—48no—
914#126—84no—
915#125—28no—
916#125—44no—
917#124—44no—
918#124—44no—
919#124—44no—
920#124—44no—
921#124—44no—
922#123—48no—
923#123—48no—
924#123—48no—
925#123—48no—
926C22⋊Q8—24no—
927C22⋊Q8—28no—
928C22⋊Q8—28no—
929C22⋊Q8—216no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8#4118yescomplemented
934#121—24no—
935#121—28no—
936#121—28no—
937#121—24no—
938#121—28no—
939#121—28no—
940#121—216no—
941#121—24no—
942#121—24no—
943#121—28no—
944#121—28no—
945#121—216no—
946#121—28no—
947#121—216no—
948#121—44no—
949#121—48no—
950#121—44no—
951#121—44no—
952#121—48no—
953#121—48no—
954#121—48no—
955#121—44no—
956#121—44no—
957#121—48no—
958#121—42no—
959#121—44no—
960#121—42no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—42no—
965#121—42no—
966#121—44no—
967#121—44no—
968#121—44no—
969#121—44no—
970#121—48no—
971#121—44no—
972#121—44no—
973#121—48no—
974#121—84no—
975#121—82no—
976#121—82no—
977#121—84no—
978#121—84no—
979#121—84no—
980#121—84no—
981C4×Q8—28no—
982C4×Q8—24no—
983C4×Q8—42no—
984C4×Q8—42no—
985C4×Q8—42no—
986C4×Q8—44no—
987C4×D4—28no—
988C4×D4—28no—
989C4×D4—24no—
990C4×D4—24no—
991C4×D4—24no—
992C4×D4—48no—
993C4×D4—42no—
994C4×D4—44no—
995C4×D4—48no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—42no—
1002C4×D4—42no—
1003C4×D4—42no—
1004C4×D4—42no—
1005C4×D4—42no—
1006C4×D4—42no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—48no—
1015C4×D4—48no—
1016C4×D4—48no—
1017#117—42no—
1018#117—42no—
1019#117—42no—
1020#117—44no—
1021#117—48no—
1022#117—42no—
1023#117—44no—
1024#117—44no—
1025#117—82no—
1026C2×C4⋊C4—24no—
1027C2×C4⋊C4—24no—
1028C2×C4⋊C4—28no—
1029C2×C4⋊C4—24no—
1030C2×C4⋊C4—42no—
1031C2×C4⋊C4—44no—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C42—24no—
1162C2×C42—24no—
1163C2×C42—24no—
1164C2×C42—44no—
1165C2×C42—44no—
1166C2×C42—44no—
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2414yes—
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2412yes—
1183C2×C42C2412yes—
1184C2×C42C2414yes—
1185C2×C42C2414yes—
1186C2×C42C2414yes—
1187C2×C42C2414yes—
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192C2×C42C2411yescharacteristic
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243C24C2512yes—
1244C24C2512yes—
1245C24C2514yes—
1246C24C2511yescharacteristic
1247C24C2512yes—
1248C24C2511yescharacteristic
1249C24C2511yescharacteristic
1250#41—416no—
1251#41—416no—
1252#41—816no—
1253#41—816no—
1254#41—816no—
1255#41—816no—
1256C2×Q8—22no—
1257C2×Q8—24no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—24no—
1261C2×Q8—24no—
1262C2×Q8—22no—
1263C2×Q8—24no—
1264C2×Q8—41no—
1265C2×Q8—42no—
1266C2×Q8—42no—
1267C2×Q8C2×#4114yes—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—28no—
1280C2×D4—22no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—28no—
1286C2×D4—24no—
1287C2×D4—28no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—22no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—24no—
1301C2×D4—28no—
1302C2×D4—24no—
1303C2×D4—22no—
1304C2×D4—24no—
1305C2×D4—22no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—42no—
1309C2×D4—41no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—44no—
1317C2×D4—42no—
1318C2×D4—44no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—44no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—44no—
1346C2×D4—42no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—24no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—28no—
1392C22×C4—28no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—42no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—42no—
1400C22×C4—42no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—44no—
1405C22×C4—42no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—44no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4C2×#4114yes—
1429C22×C4H(5,𝔽2)14yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2512yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2514yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2512yes—
1443C22×C4C2514yes—
1444C22×C4C2512yes—
1445C22×C4C2514yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2512yes—
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2512yes—
1452C22×C4C2512yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2512yes—
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C4⋊C4—24no—
1459C4⋊C4—22no—
1460C4⋊C4—24no—
1461C4⋊C4—28no—
1462C4⋊C4—24no—
1463C4⋊C4—28no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—22no—
1473C4⋊C4—24no—
1474C4⋊C4—28no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—22no—
1478C4⋊C4—22no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—28no—
1482C4⋊C4—28no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—42no—
1487C4⋊C4—44no—
1488C4⋊C4—41no—
1489C4⋊C4—41no—
1490C4⋊C4—41no—
1491C4⋊C4—41no—
1492C4⋊C4—42no—
1493C4⋊C4—41no—
1494C4⋊C4—41no—
1495C4⋊C4—44no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4—42no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—42no—
1512C4⋊C4C2×#4114yes—
1513C4⋊C4C2×#4118yes—
1514C4⋊C4H(5,𝔽2)14yes—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—28no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—24no—
1522C22⋊C4—28no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—28no—
1531C22⋊C4—28no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—41no—
1539C22⋊C4—41no—
1540C22⋊C4—41no—
1541C22⋊C4—41no—
1542C22⋊C4—41no—
1543C22⋊C4—42no—
1544C22⋊C4—41no—
1545C22⋊C4—42no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—42no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—42no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—42no—
1586C22⋊C4C2×#4118yes—
1587C42—22no—
1588C42—22no—
1589C42—22no—
1590C42—22no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—24no—
1597C42—24no—
1598C42—24no—
1599C42—24no—
1600C42—24no—
1601C42—28no—
1602C42—42no—
1603C42—42no—
1604C42—42no—
1605C42—42no—
1606C42—42no—
1607C42—42no—
1608C42—44no—
1609C42—44no—
1610C42—44no—
1611C42—44no—
1612C42H(5,𝔽2)14yes—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—22no—
1627C23—22no—
1628C23—24no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—24no—
1634C23—24no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—21no—
1641C23—24no—
1642C23—21no—
1643C23—21no—
1644C23—22no—
1645C23—22no—
1646C23—24no—
1647C23—22no—
1648C23—21no—
1649C23—22no—
1650C23—22no—
1651C23—21no—
1652C23—24no—
1653C23—22no—
1654C23—22no—
1655C23—21no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—24no—
1660C23C22×#4112yes—
1661C23C2×H(5,𝔽2)12yes—
1662C23C2611yescharacteristic
1663Q8—28no—
1664Q8—44no—
1665Q8—48no—
1666Q8—84no—
1667D4—48no—
1668D4—44no—
1669D4—44no—
1670D4—48no—
1671D4—44no—
1672D4—44no—
1673D4—48no—
1674D4—44no—
1675D4—48no—
1676D4—44no—
1677D4—88no—
1678D4—84no—
1679D4—84no—
1680D4—88no—
1681D4—84no—
1682D4—84no—
1683D4—88no—
1684D4—84no—
1685D4—88no—
1686D4—84no—
1687D4—88no—
1688D4—84no—
1689D4—84no—
1690D4—84no—
1691D4—84no—
1692D4—88no—
1693D4—88no—
1694D4—164no—
1695D4—164no—
1696D4—164no—
1697D4—164no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—28no—
1711C2×C4—28no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—24no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—24no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—24no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—24no—
1758C2×C4—24no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—48no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—48no—
1776C2×C4—48no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—48no—
1780C2×C4—44no—
1781C2×C4—84no—
1782C2×C4—88no—
1783C2×C4—82no—
1784C2×C4—82no—
1785C2×C4—84no—
1786C2×C4—88no—
1787C2×C4—84no—
1788C2×C4—84no—
1789C2×C4—84no—
1790C2×C4—88no—
1791C2×C4—88no—
1792C2×C4—164no—
1793C2×C4C22×#4112yes—
1794C2×C4C22×#4114yes—
1795C2×C4C22×#4114yes—
1796C2×C4C22×#4112yes—
1797C2×C4C2×H(5,𝔽2)12yes—
1798C2×C4C2×H(5,𝔽2)14yes—
1799C2×C4C2×H(5,𝔽2)12yes—
1800C2×C4C2×H(5,𝔽2)12yes—
1801C2×C4C2×H(5,𝔽2)12yes—
1802C2×C4C2×H(5,𝔽2)12yes—
1803C2×C4C2×H(5,𝔽2)12yes—
1804C2×C4#58512yes—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—42no—
1820C22—42no—
1821C22—41no—
1822C22—44no—
1823C22—42no—
1824C22—41no—
1825C22—42no—
1826C22—42no—
1827C22—44no—
1828C22—42no—
1829C22—44no—
1830C22—42no—
1831C22—41no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—41no—
1836C22—42no—
1837C22—42no—
1838C22—44no—
1839C22—41no—
1840C22—42no—
1841C22—42no—
1842C22—44no—
1843C22—42no—
1844C22—44no—
1845C22—42no—
1846C22—41no—
1847C22—42no—
1848C22—42no—
1849C22—41no—
1850C22—42no—
1851C22—44no—
1852C22—42no—
1853C22—42no—
1854C22C23×#4111yescharacteristic
1855C22C22×H(5,𝔽2)11yescharacteristic
1856C22C22×H(5,𝔽2)11yescharacteristic
1857C22C22×H(5,𝔽2)11yescharacteristic
1858C22C2×#58511yescharacteristic
1859C22H(7,𝔽2)11yescharacteristic
1860C222−1+611yescharacteristic
1861C4—24no—
1862C4—22no—
1863C4—22no—
1864C4—24no—
1865C4—22no—
1866C4—24no—
1867C4—42no—
1868C4—44no—
1869C4—41no—
1870C4—41no—
1871C4—42no—
1872C4—41no—
1873C4—44no—
1874C4—42no—
1875C4—41no—
1876C4—42no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—42no—
1881C4—42no—
1882C4—42no—
1883C4—42no—
1884C4—42no—
1885C4—42no—
1886C4—44no—
1887C4#351914yes—
1888C4#354614yes—
1889C2—42no—
1890C2—42no—
1891C2—82no—
1892C2—81no—
1893C2—82no—
1894C2—82no—
1895C2—84no—
1896C2C2×#354611yescharacteristic
1897C2C2×#351911yescharacteristic
1898C2#6287511yescharacteristic
1899C2#6291411yescharacteristic
1900C2#6295511yescharacteristic
1901C2#6298611yescharacteristic
1902C2#6300711yescharacteristic
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. #59770C2semidirect
2. #59218C2semidirect
3. #59217C2semidirect
4. #59058C2semidirect
5. #59051C2semidirect
6. #59033C2semidirect
7. #50744C2semidirect
8. #49986C2semidirect
9. #47622C2semidirect
10. #46690C2semidirect
11. #45608C2semidirect
12. #45608C2semidirect
13. #45386C2semidirect
14. #45373C2semidirect
15. #42855C2semidirect
16. #42584C2semidirect
17. #40068C2semidirect
18. #40030C2semidirect
19. #39471C2semidirect
20. #39462C2semidirect
21. #39341C2semidirect
22. #39341C2semidirect
23. #39247C2semidirect
24. #39138C2semidirect
25. #37317C2semidirect
26. #36596C2semidirect
27. #36596C2semidirect
28. #36552C2semidirect
29. #36455C2semidirect
30. #36404C2semidirect
31. #36116C2semidirect
32. #35292C2semidirect
33. #34937C2semidirect
34. #34410C2semidirect
35. C4×#537C2semidirect
933. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#597702
#592182
#592172
#590582
#590512
#590332
#507442
#499862
#476222
#466902
#456082
#453862
#453732
#428552
#425842
#400682
#400302
#394712
#394622
#393412
#392472
#391382
#373172
#365962
#365522
#364552
#364042
#361162
#352922
#349372
#344102
C4×#5372