Finite Group Databasebeta

← #7647441

Subgroups — #7647441

Order 512.

4688 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42492C212yesmaximal, complemented
2#42491C212yesmaximal, complemented
3#42487C212yesmaximal
4#42486C212yesmaximal
5#40627C214yesmaximal, complemented
6#40622C214yesmaximal, complemented
7#39498C211yesmaximal, characteristic, complemented
8#39497C211yesmaximal, characteristic, complemented
9#39493C212yesmaximal, complemented
10#39370C211yesmaximal, characteristic, complemented
11#39369C211yesmaximal, characteristic, complemented
12#39366C212yesmaximal, complemented
13#38967C211yesmaximal, characteristic, complemented
14#38967C211yesmaximal, characteristic, complemented
15#38964C211yesmaximal, characteristic, complemented
16#38964C211yesmaximal, characteristic, complemented
17#38961C212yesmaximal, complemented
18#38960C212yesmaximal, complemented
19#37480C212yesmaximal, complemented
20#37476C212yesmaximal, complemented
21#36755C214yesmaximal, complemented
22#36753C214yesmaximal, complemented
23#35602C212yesmaximal, complemented
24#35580C212yesmaximal, complemented
25#35294C211yesmaximal, characteristic, complemented
26#35253C212yesmaximal, complemented
27#35192C211yesmaximal, characteristic, complemented
28#35177C212yesmaximal, complemented
29#35175C212yesmaximal, complemented
30#35151C212yesmaximal, complemented
31#34978C211yesmaximal, characteristic, complemented
32#34912C211yesmaximal, characteristic, complemented
33#34194C211yesmaximal, characteristic
34D4×#117C211yesmaximal, characteristic
35#34058C211yesmaximal, characteristic
36C2×#544C2212yescomplemented
37C2×#544C2212yescomplemented
38C22×C4×D4C2211yescharacteristic
39C22×#117C2212yes—
40#2868C2211yescharacteristic, complemented
41#2864C2212yescomplemented
42#2862C2212yescomplemented
43#2859C2211yescharacteristic, complemented
44#2859C2211yescharacteristic, complemented
45#2859C2211yescharacteristic, complemented
46#2857C2214yescomplemented
47#2855C2214yescomplemented
48#2855C2214yescomplemented
49#2851C2214yescomplemented
50#2842C2214yes—
51#2841C2214yes—
52#2841C2214yes—
53#2840C2214yes—
54#2807C2214yescomplemented
55#2806C2214yescomplemented
56#2805C2214yescomplemented
57#2804C2214yes—
58#2792C2214yescomplemented
59#2791C2214yescomplemented
60#2790C2214yescomplemented
61#2788C2214yescomplemented
62#2788C2214yescomplemented
63#2788C2214yescomplemented
64#2784C2214yes—
65#2780C2214yes—
66#2774C2214yescomplemented
67#2763C2214yescomplemented
68#2763C2214yescomplemented
69#2755C2214yescomplemented
70#2748C2214yes—
71#2742C2214yescomplemented
72#2742C2214yescomplemented
73#2732C2214yes—
74#2729C2214yescomplemented
75#2729C2214yescomplemented
76#2720C2214yescomplemented
77#2720C2214yescomplemented
78#2720C2214yescomplemented
79#2713C2214yescomplemented
80#2713C2214yescomplemented
81#2704C2214yescomplemented
82#2692C2214yes—
83#2692C2214yes—
84#2692C2214yes—
85#2677C2214yescomplemented
86#2667C2214yescomplemented
87#2665C2214yes—
88#2665C2214yes—
89#2665C2214yes—
90#2665C2214yescomplemented
91#2665C2214yescomplemented
92#2665C2214yescomplemented
93#2629C2214yes—
94#2629C2212yes—
95#2629C2212yescomplemented
96#2629C2212yescomplemented
97#2628C2214yes—
98#2628C2212yes—
99#2628C2212yescomplemented
100#2628C2212yescomplemented
101#2628C2212yescomplemented
102#2628C2212yescomplemented
103#2628C2212yescomplemented
104#2628C2212yescomplemented
105#2626C2214yes—
106#2626C2214yes—
107#2626C2214yes—
108#2626C2214yes—
109#2612C2214yescomplemented
110#2608C2212yes—
111#2607C2212yes—
112#2607C2214yescomplemented
113#2607C2214yescomplemented
114#2606C2212yescomplemented
115#2605C2212yescomplemented
116#2605C2214yescomplemented
117#2589C2214yescomplemented
118#2589C2214yescomplemented
119#2589C2214yescomplemented
120#2587C2214yescomplemented
121#2584C2212yescomplemented
122#2580C2212yes—
123#2580C2212yes—
124#2580C2212yes—
125#2574C2214yescomplemented
126#2574C2214yescomplemented
127#2571C2211yescharacteristic, complemented
128#2571C2211yescharacteristic, complemented
129#2571C2211yescharacteristic, complemented
130#2570C2211yescharacteristic, complemented
131#2570C2212yescomplemented
132#2570C2211yescharacteristic, complemented
133#2570C2212yescomplemented
134#2569C2214yescomplemented
135#2567C2212yescomplemented
136#2567C2212yescomplemented
137#2566C2212yes—
138#2563C2212yes—
139#2563C2212yes—
140#2556C2214yescomplemented
141#2556C2214yescomplemented
142#2552C2211yescharacteristic, complemented
143#2552C2211yescharacteristic, complemented
144#2551C2211yescharacteristic, complemented
145#2551C2211yescharacteristic, complemented
146#2551C2211yescharacteristic, complemented
147#2551C2212yescomplemented
148#2550C2212yescomplemented
149#2550C2212yescomplemented
150#2550C2211yescharacteristic, complemented
151#2550C2212yescomplemented
152#2550C2212yescomplemented
153#2550C2211yescharacteristic, complemented
154#2550C2212yescomplemented
155#2549C2214yescomplemented
156#2546C2212yescomplemented
157#2542C2212yes—
158#2538C2212yes—
159#2522C2214yescomplemented
160#2509C2212yescomplemented
161#2509C2212yescomplemented
162#2509C2212yescomplemented
163#2508C2212yescomplemented
164#2508C2212yescomplemented
165#2507C2212yescomplemented
166#2506C2212yescomplemented
167#2506C2212yescomplemented
168#2497C2214yescomplemented
169#2492C2214yescomplemented
170#2492C2214yescomplemented
171#2465C2214yescomplemented
172#2465C2214yescomplemented
173#2465C2214yescomplemented
174#2454C2212yes—
175#2454C2212yes—
176#2454C2212yes—
177#2452C2212yes—
178#2452C2212yes—
179#2452C2212yes—
180#2452C2212yes—
181#2452C2212yes—
182#2442C2212yescomplemented
183#2442C2212yescomplemented
184#2442C2212yescomplemented
185#2442C2212yescomplemented
186#2441C2212yes—
187#2441C2212yes—
188#2441C2214yes—
189#2441C2211yescharacteristic
190#2441C2211yescharacteristic
191#2441C2212yes—
192#2441C2212yes—
193#2441C2212yescomplemented
194#2441C2212yescomplemented
195#2441C2214yescomplemented
196#2440C2212yescomplemented
197#2440C2212yescomplemented
198#2440C2212yescomplemented
199#2440C2212yescomplemented
200#2439C2211yescharacteristic
201#2439C2212yes—
202#2439C2214yes—
203#2439C2211yescharacteristic
204#2439C2212yes—
205#2439C2212yes—
206#2439C2212yes—
207#2439C2212yes—
208#2439C2212yes—
209#2439C2212yes—
210#2439C2212yes—
211#2439C2214yescomplemented
212#2439C2212yescomplemented
213#2439C2212yescomplemented
214#2439C2212yescomplemented
215#2439C2212yescomplemented
216#2439C2212yescomplemented
217#2439C2212yescomplemented
218#2438C2214yescomplemented
219#2438C2214yescomplemented
220#2437C2214yes—
221#2437C2214yes—
222#2423C2214yescomplemented
223#2396C2212yes—
224#2396C2212yes—
225#2396C2214yes—
226#2354C2211yescharacteristic
227#2354C2211yescharacteristic
228#2354C2211yescharacteristic
229#2354C2211yescharacteristic
230#2352C2212yes—
231#2352C2212yes—
232#2352C2212yes—
233#2352C2212yes—
234D4×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic
238#2345C2212yes—
239#2344C2212yes—
240#2342C2214yes—
241#2342C2214yes—
242D4×C22⋊C4C2212yes—
243D4×C22⋊C4C2212yes—
244#2331C2212yescomplemented
245#2331C2212yescomplemented
246#2331C2212yescomplemented
247#2330C2212yescomplemented
248#2319C2211yescharacteristic
249#2319C2211yescharacteristic
250#2319C2211yescharacteristic
251#2319C2212yes—
252#2319C2212yes—
253#2319C2211yescharacteristic
254#2319C2212yes—
255#2318C2214yes—
256#2317C2212yescomplemented
257#2317C2212yescomplemented
258#2317C2212yescomplemented
259#2317C2212yescomplemented
260#2316C2211yescharacteristic
261#2316C2211yescharacteristic
262#2316C2212yescomplemented
263#2316C2212yescomplemented
264#2312C2212yes—
265#2312C2212yes—
266#2309C2211yescharacteristic
267#2309C2211yescharacteristic
268C4×C4⋊Q8C2212yescomplemented
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×C4⋊Q8C2211yescharacteristic, complemented
271C4×C4⋊Q8C2212yescomplemented
272C4×#125C2212yescomplemented
273C4×#125C2212yescomplemented
274C4×#125C2211yescharacteristic, complemented
275C4×#125C2211yescharacteristic, complemented
276#2295C2212yescomplemented
277#2295C2212yescomplemented
278#2293C2212yes—
279#2293C2212yes—
280#2293C2211yescharacteristic
281#2293C2211yescharacteristic
282#2293C2211yescharacteristic
283#2293C2211yescharacteristic
284#2293C2212yes—
285#2290C2214yes—
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288#2283C2211yescharacteristic
289#2280C2212yes—
290#2280C2212yes—
291#2280C2212yes—
292#2280C2212yes—
293C2×#380C2212yes—
294#2275C2212yes—
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#544—48no—
302#544—48no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2312yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2314yes—
336C2×C4×D4Q8116yescomplemented
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×#117—48no—
348C2×#117C2312yes—
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2314yes—
362C2×#117C2314yes—
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C22⋊C4C2314yes—
372C22×C22⋊C4C2314yes—
373C22×C22⋊C4C2312yes—
374C22×C42C2314yes—
375C22×C42C2311yescharacteristic
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2312yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2312yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2312yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2312yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2312yes—
439#396C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2312yes—
455#395C2312yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2312yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2312yes—
479#393C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2312yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2312yes—
496#391C2314yes—
497#391C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2314yes—
501#391C2314yes—
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2312yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2314yes—
682#384C2314yes—
683#384C2312yes—
684#384C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#383C2312yes—
690#382C2312yes—
691#382C2311yescharacteristic
692#382C2311yescharacteristic
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#382C2314yes—
706#382C2314yes—
707#381C2314yes—
708#381C2312yes—
709#381C2312yes—
710#381C2312yes—
711#381C2312yes—
712#381C2314yes—
713#381C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2312yes—
746#379C2312yes—
747#379C2312yes—
748#379C2312yes—
749#379C2312yes—
750#379C2314yes—
751#379C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2311yescharacteristic
805#376C2311yescharacteristic
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809C2×#95C2314yes—
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C25C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2414yes—
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×Q8C2414yes—
820C22×Q8C2414yes—
821C22×D4—42no—
822C22×D4—42no—
823C22×D4C2×Q818yes—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C23×C4—44no—
828C23×C4—44no—
829C23×C4C2×Q8116yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2414yes—
837C23×C4C2414yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C4⋊Q8—24no—
843C4⋊Q8—44no—
844C4⋊Q8—42no—
845C4⋊Q8—44no—
846C4⋊Q8—44no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849C4⋊Q8—48no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—48no—
854C4⋊Q8—82no—
855#125—24no—
856#125—28no—
857#125—42no—
858#125—44no—
859#125—44no—
860#125—48no—
861#125—44no—
862#125—48no—
863#125—82no—
864C22⋊Q8—48no—
865C22⋊Q8—48no—
866C22⋊Q8—48no—
867C22⋊Q8—48no—
868C22⋊Q8—84no—
869C22⋊Q8—84no—
870C22⋊Q8—84no—
871C22⋊Q8—84no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—84no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—44no—
878C4×D4—44no—
879C4×D4C2×Q818yes—
880C4×D4C2×Q818yes—
881C4×D4C2×Q8116yes—
882C4×D4C2×Q818yes—
883C4×D4C2×Q818yes—
884C4×D4C2×Q8116yes—
885#117—24no—
886#117—28no—
887#117—44no—
888#117—44no—
889#117—42no—
890#117—42no—
891#117—44no—
892#117—44no—
893#117—48no—
894#117—48no—
895#117—44no—
896#117—44no—
897#117—44no—
898#117—42no—
899#117—42no—
900#117—42no—
901#117—44no—
902#117—82no—
903C2×C4⋊C4—28no—
904C2×C4⋊C4—44no—
905C2×C4⋊C4—44no—
906C2×C4⋊C4—44no—
907C2×C4⋊C4C2×Q818yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4—48no—
994C2×C22⋊C4—84no—
995C2×C22⋊C4C2×Q8116yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C42—48no—
1041C2×C42C2×Q818yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2414yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2412yes—
1088#95C2411yescharacteristic
1089#95C2412yes—
1090#95C2411yescharacteristic
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154C24—42no—
1155C24—42no—
1156C24—42no—
1157C24—42no—
1158C24—42no—
1159C24—42no—
1160C24C22×Q818yes—
1161C24C2511yescharacteristic
1162C24C2512yes—
1163C24C2512yes—
1164C2×Q8—24no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—44no—
1168C2×Q8—42no—
1169C2×Q8—44no—
1170C2×Q8—44no—
1171C2×Q8—42no—
1172C2×Q8—42no—
1173C2×Q8—44no—
1174C2×Q8—44no—
1175C2×Q8—44no—
1176C2×Q8—44no—
1177C2×Q8—44no—
1178C2×Q8—44no—
1179C2×Q8—44no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—416no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4C22×Q814yes—
1190C2×D4C22×Q814yes—
1191C2×D4C22×Q818yes—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—28no—
1201C22×C4—432no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—41no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—41no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4C22×Q814yes—
1222C22×C4C22×Q814yes—
1223C22×C4C22×Q818yes—
1224C22×C4C22×Q818yes—
1225C22×C4C22×Q814yes—
1226C22×C4C22×Q818yes—
1227C22×C4C22×Q818yes—
1228C22×C4C22×Q818yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2514yes—
1241C22×C4C2514yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2514yes—
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—28no—
1270C4⋊C4—28no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4C22×Q818yes—
1343C4⋊C4C22×Q814yes—
1344C4⋊C4C22×Q814yes—
1345C4⋊C4H(5,𝔽2)14yes—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4C22×Q818yes—
1387C22⋊C4C22×Q818yes—
1388C22⋊C4C22×Q818yes—
1389C22⋊C4C22×Q818yes—
1390C42—24no—
1391C42—28no—
1392C42—22no—
1393C42—24no—
1394C42—22no—
1395C42—22no—
1396C42—24no—
1397C42—22no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—24no—
1406C42—44no—
1407C42—44no—
1408C42—42no—
1409C42—42no—
1410C42—41no—
1411C42—41no—
1412C42—44no—
1413C42—42no—
1414C42—42no—
1415C42—42no—
1416C42—44no—
1417C42—44no—
1418C42—42no—
1419C42—42no—
1420C42—41no—
1421C42—41no—
1422C42C22×Q814yes—
1423C42C22×Q814yes—
1424C42C22×Q814yes—
1425C42C22×Q814yes—
1426C23—22no—
1427C23—21no—
1428C23—22no—
1429C23—22no—
1430C23—21no—
1431C23—21no—
1432C23—22no—
1433C23—21no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—21no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—21no—
1444C23—48no—
1445C23—48no—
1446C23—48no—
1447C23—84no—
1448C23—84no—
1449C23—84no—
1450C23—84no—
1451C23C23×Q814yes—
1452C23C23×Q814yes—
1453C23C23×Q812yes—
1454C23C2611yescharacteristic
1455Q8—84no—
1456Q8—84no—
1457Q8—88no—
1458Q8—164no—
1459Q8—164no—
1460Q8—164no—
1461D4—28no—
1462D4—28no—
1463D4—48no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—28no—
1479C2×C4—28no—
1480C2×C4—216no—
1481C2×C4—216no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—48no—
1552C2×C4—48no—
1553C2×C4—48no—
1554C2×C4—44no—
1555C2×C4—88no—
1556C2×C4—88no—
1557C2×C4—164no—
1558C2×C4—164no—
1559C2×C4C23×Q812yes—
1560C2×C4C23×Q812yes—
1561C2×C4C23×Q812yes—
1562C2×C4C23×Q812yes—
1563C2×C4C23×Q814yes—
1564C2×C4C23×Q814yes—
1565C2×C4C23×Q812yes—
1566C2×C4C23×Q812yes—
1567C2×C4C2×H(5,𝔽2)14yes—
1568C2×C4C2×H(5,𝔽2)12yes—
1569C2×C4#58512yes—
1570C2×C4#58512yes—
1571C2×C4#58512yes—
1572C22—22no—
1573C22—24no—
1574C22—24no—
1575C22—22no—
1576C22—24no—
1577C22—24no—
1578C22—22no—
1579C22—24no—
1580C22—24no—
1581C22—42no—
1582C22—42no—
1583C22—41no—
1584C22—42no—
1585C22—42no—
1586C22—41no—
1587C22—42no—
1588C22—42no—
1589C22—41no—
1590C22—42no—
1591C22—42no—
1592C22—41no—
1593C22—816no—
1594C22C24×Q811yescharacteristic
1595C22C22×H(5,𝔽2)11yescharacteristic
1596C22C2×#58511yescharacteristic
1597C22C2×#58511yescharacteristic
1598C22C2×#58511yescharacteristic
1599C22H(7,𝔽2)11yescharacteristic
1600C222−1+611yescharacteristic
1601C4—22no—
1602C4—24no—
1603C4—24no—
1604C4—22no—
1605C4—22no—
1606C4—24no—
1607C4—22no—
1608C4—41no—
1609C4—44no—
1610C4—41no—
1611C4—42no—
1612C4—42no—
1613C4—41no—
1614C4—42no—
1615C4—44no—
1616C4—42no—
1617C4—44no—
1618C4—42no—
1619C4—41no—
1620C4—41no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—42no—
1628C4—44no—
1629C4—42no—
1630C4—42no—
1631C4#345814yes—
1632C4#350114yes—
1633C2—44no—
1634C2—44no—
1635C2—42no—
1636C2C2×#345811yescharacteristic
1637C2C2×#350111yescharacteristic
1638C2#6285411yescharacteristic
1639C2#6292111yescharacteristic
1640C2#6292311yescharacteristic
1641C2#6293611yescharacteristic
1642C2#6293811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42492C2semidirect
2. #42491C2semidirect
5. #40627C2semidirect
6. #40622C2semidirect
7. #39498C2semidirect
8. #39497C2semidirect
9. #39493C2semidirect
10. #39370C2semidirect
11. #39369C2semidirect
12. #39366C2semidirect
13. #38967C2semidirect
14. #38967C2semidirect
15. #38964C2semidirect
16. #38964C2semidirect
17. #38961C2semidirect
18. #38960C2semidirect
19. #37480C2semidirect
20. #37476C2semidirect
21. #36755C2semidirect
22. #36753C2semidirect
23. #35602C2semidirect
24. #35580C2semidirect
25. #35294C2semidirect
26. #35253C2semidirect
27. #35192C2semidirect
28. #35177C2semidirect
29. #35175C2semidirect
30. #35151C2semidirect
31. #34978C2semidirect
32. #34912C2semidirect
36. C2×#544C22semidirect
37. C2×#544C22semidirect
40. #2868C22semidirect
41. #2864C22semidirect
42. #2862C22semidirect
43. #2859C22semidirect
44. #2859C22semidirect
45. #2859C22semidirect
46. #2857C22semidirect
47. #2855C22semidirect
48. #2855C22semidirect
49. #2851C22semidirect
54. #2807C22semidirect
55. #2806C22semidirect
56. #2805C22semidirect
58. #2792C22semidirect
59. #2791C22semidirect
60. #2790C22semidirect
61. #2788C22semidirect
62. #2788C22semidirect
63. #2788C22semidirect
66. #2774C22semidirect
67. #2763C22semidirect
68. #2763C22semidirect
69. #2755C22semidirect
71. #2742C22semidirect
72. #2742C22semidirect
74. #2729C22semidirect
75. #2729C22semidirect
76. #2720C22semidirect
77. #2720C22semidirect
78. #2720C22semidirect
79. #2713C22semidirect
80. #2713C22semidirect
81. #2704C22semidirect
85. #2677C22semidirect
86. #2667C22semidirect
90. #2665C22semidirect
91. #2665C22semidirect
92. #2665C22semidirect
95. #2629C22semidirect
96. #2629C22semidirect
99. #2628C22semidirect
100. #2628C22semidirect
101. #2628C22semidirect
102. #2628C22semidirect
103. #2628C22semidirect
104. #2628C22semidirect
109. #2612C22semidirect
112. #2607C22semidirect
113. #2607C22semidirect
114. #2606C22semidirect
115. #2605C22semidirect
116. #2605C22semidirect
117. #2589C22semidirect
118. #2589C22semidirect
119. #2589C22semidirect
120. #2587C22semidirect
121. #2584C22semidirect
125. #2574C22semidirect
126. #2574C22semidirect
127. #2571C22semidirect
128. #2571C22semidirect
129. #2571C22semidirect
130. #2570C22semidirect
131. #2570C22semidirect
132. #2570C22semidirect
133. #2570C22semidirect
134. #2569C22semidirect
135. #2567C22semidirect
136. #2567C22semidirect
140. #2556C22semidirect
141. #2556C22semidirect
142. #2552C22semidirect
143. #2552C22semidirect
144. #2551C22semidirect
145. #2551C22semidirect
146. #2551C22semidirect
147. #2551C22semidirect
148. #2550C22semidirect
149. #2550C22semidirect
150. #2550C22semidirect
151. #2550C22semidirect
152. #2550C22semidirect
153. #2550C22semidirect
154. #2550C22semidirect
155. #2549C22semidirect
156. #2546C22semidirect
159. #2522C22semidirect
160. #2509C22semidirect
161. #2509C22semidirect
162. #2509C22semidirect
163. #2508C22semidirect
164. #2508C22semidirect
165. #2507C22semidirect
166. #2506C22semidirect
167. #2506C22semidirect
168. #2497C22semidirect
169. #2492C22semidirect
170. #2492C22semidirect
171. #2465C22semidirect
172. #2465C22semidirect
173. #2465C22semidirect
182. #2442C22semidirect
183. #2442C22semidirect
184. #2442C22semidirect
185. #2442C22semidirect
193. #2441C22semidirect
194. #2441C22semidirect
195. #2441C22semidirect
196. #2440C22semidirect
197. #2440C22semidirect
198. #2440C22semidirect
199. #2440C22semidirect
211. #2439C22semidirect
212. #2439C22semidirect
213. #2439C22semidirect
214. #2439C22semidirect
215. #2439C22semidirect
216. #2439C22semidirect
217. #2439C22semidirect
218. #2438C22semidirect
219. #2438C22semidirect
222. #2423C22semidirect
244. #2331C22semidirect
245. #2331C22semidirect
246. #2331C22semidirect
247. #2330C22semidirect
256. #2317C22semidirect
257. #2317C22semidirect
258. #2317C22semidirect
259. #2317C22semidirect
262. #2316C22semidirect
263. #2316C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×C4⋊Q8C22semidirect
272. C4×#125C22semidirect
273. C4×#125C22semidirect
274. C4×#125C22semidirect
275. C4×#125C22semidirect
276. #2295C22semidirect
277. #2295C22semidirect
336. C2×C4×D4Q8semidirect

Maximal subgroups

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

subgroupindex
#424922
#424912
#424872
#424862
#406272
#406222
#394982
#394972
#394932
#393702
#393692
#393662
#389672
#389642
#389612
#389602
#374802
#374762
#367552
#367532
#356022
#355802
#352942
#352532
#351922
#351772
#351752
#351512
#349782
#349122
#341942
D4×#1172
#340582