Finite Group Databasebeta

← #8094805

Subgroups — #8094805

Order 512.

4579 conjugacy classes of subgroups.

The subgroup lattice has 1693 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53133C212yesmaximal, complemented
2#53124C212yesmaximal, complemented
3#53119C212yesmaximal, complemented
4#53107C212yesmaximal, complemented
5#53081C212yesmaximal, complemented
6#53020C212yesmaximal, complemented
7#52991C212yesmaximal, complemented
8#52983C212yesmaximal, complemented
9#52508C214yesmaximal, complemented
10#52491C214yesmaximal, complemented
11#46174C212yesmaximal, complemented
12#46174C212yesmaximal, complemented
13#46158C212yesmaximal, complemented
14#46147C212yesmaximal, complemented
15#46094C214yesmaximal, complemented
16#45971C214yesmaximal, complemented
17#45715C212yesmaximal, complemented
18#45674C212yesmaximal, complemented
19#45618C212yesmaximal, complemented
20#45485C212yesmaximal, complemented
21#35575C211yesmaximal, characteristic, complemented
22#35566C211yesmaximal, characteristic, complemented
23#35557C211yesmaximal, characteristic, complemented
24#35544C211yesmaximal, characteristic, complemented
25#35519C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic
27#35286C211yesmaximal, characteristic, complemented
28#35265C211yesmaximal, characteristic, complemented
29#35263C211yesmaximal, characteristic
30#35253C211yesmaximal, characteristic, complemented
31#35173C211yesmaximal, characteristic, complemented
32#35160C211yesmaximal, characteristic, complemented
33#34813C211yesmaximal, characteristic
34C2×#2496C211yesmaximal, characteristic, complemented
35#34739C211yesmaximal, characteristic, complemented
36C2×#563C2214yes—
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C22×#126C2212yes—
41C2×#525C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C22×#117C2211yescharacteristic
44#2864C2212yescomplemented
45#2859C2212yescomplemented
46#2859C2212yescomplemented
47#2859C2212yescomplemented
48#2857C2214yes—
49#2857C2212yes—
50#2855C2212yes—
51#2854C2212yes—
52#2852C2214yes—
53#2851C2212yes—
54#2841C2214yescomplemented
55#2839C2214yescomplemented
56#2839C2214yescomplemented
57#2839C2214yescomplemented
58#2838C2214yes—
59#2838C2214yescomplemented
60#2838C2214yescomplemented
61#2836C2214yes—
62#2835C2214yes—
63#2833C2214yescomplemented
64#2832C2214yes—
65#2831C2214yes—
66#2831C2214yescomplemented
67#2831C2214yescomplemented
68#2827C2214yes—
69#2823C2214yes—
70#2822C2214yescomplemented
71#2821C2214yes—
72#2820C2214yes—
73#2814C2214yes—
74#2805C2214yescomplemented
75#2799C2214yescomplemented
76#2794C2214yescomplemented
77#2791C2214yescomplemented
78#2774C2214yescomplemented
79#2774C2214yescomplemented
80#2773C2214yes—
81#2773C2214yescomplemented
82#2771C2214yescomplemented
83#2770C2214yescomplemented
84#2762C2214yescomplemented
85#2762C2214yescomplemented
86#2758C2214yescomplemented
87#2745C2214yes—
88#2734C2214yescomplemented
89#2729C2214yescomplemented
90#2727C2214yes—
91#2725C2214yes—
92#2725C2214yescomplemented
93#2724C2214yes—
94#2723C2214yes—
95#2723C2214yes—
96#2722C2214yes—
97#2721C2214yes—
98#2721C2214yescomplemented
99#2718C2214yes—
100#2716C2214yes—
101#2716C2214yescomplemented
102#2715C2214yes—
103#2715C2214yes—
104#2702C2214yes—
105#2698C2214yes—
106#2698C2214yes—
107#2698C2214yescomplemented
108#2698C2214yescomplemented
109#2695C2214yes—
110#2695C2214yes—
111#2690C2214yes—
112#2690C2214yescomplemented
113#2689C2214yes—
114#2659C2214yes—
115#2647C2212yescomplemented
116#2647C2212yescomplemented
117#2647C2212yescomplemented
118#2647C2212yescomplemented
119#2643C2214yes—
120#2629C2212yes—
121#2628C2212yes—
122#2625C2212yes—
123#2624C2212yes—
124#2584C2212yescomplemented
125#2584C2212yescomplemented
126#2584C2212yescomplemented
127#2584C2212yescomplemented
128#2584C2212yescomplemented
129#2584C2212yescomplemented
130#2582C2212yescomplemented
131#2581C2212yescomplemented
132#2580C2212yescomplemented
133#2571C2212yescomplemented
134#2571C2212yescomplemented
135#2567C2212yescomplemented
136#2567C2212yescomplemented
137#2567C2212yescomplemented
138#2564C2214yes—
139#2552C2212yescomplemented
140#2552C2212yescomplemented
141#2552C2212yescomplemented
142#2551C2212yescomplemented
143#2550C2212yescomplemented
144#2550C2212yescomplemented
145#2549C2214yes—
146#2546C2212yescomplemented
147#2546C2212yescomplemented
148#2546C2212yescomplemented
149#2538C2212yescomplemented
150#2514C2212yescomplemented
151#2513C2212yescomplemented
152#2512C2212yescomplemented
153#2512C2212yescomplemented
154#2512C2212yescomplemented
155#2511C2212yescomplemented
156#2511C2212yescomplemented
157#2511C2212yescomplemented
158#2509C2212yescomplemented
159#2508C2212yescomplemented
160#2507C2212yescomplemented
161#2506C2212yescomplemented
162#2505C2214yes—
163#2498C2214yes—
164#2497C2212yes—
165#2497C2212yes—
166#2497C2212yescomplemented
167#2497C2212yescomplemented
168#2497C2212yescomplemented
169#2496C2212yes—
170#2496C2212yes—
171#2496C2212yes—
172#2496C2212yes—
173#2496C2212yes—
174#2496C2212yes—
175#2496C2212yes—
176#2496C2212yes—
177#2496C2212yes—
178#2496C2212yes—
179#2496C2212yescomplemented
180#2496C2212yescomplemented
181#2496C2212yescomplemented
182#2495C2212yes—
183#2495C2212yes—
184#2495C2212yescomplemented
185#2494C2212yes—
186#2494C2212yes—
187#2494C2212yescomplemented
188#2493C2214yes—
189#2492C2211yescharacteristic
190#2492C2211yescharacteristic
191#2491C2211yescharacteristic
192#2491C2211yescharacteristic
193#2490C2211yescharacteristic
194#2490C2211yescharacteristic
195#2489C2211yescharacteristic
196#2489C2211yescharacteristic
197#2488C2212yes—
198#2488C2212yes—
199#2487C2212yes—
200#2487C2212yes—
201#2486C2212yes—
202#2486C2212yes—
203#2485C2212yes—
204#2485C2212yes—
205#2485C2212yes—
206#2485C2212yes—
207#2481C2214yes—
208#2481C2214yes—
209#2480C2214yes—
210#2473C2214yes—
211#2472C2212yes—
212#2472C2212yes—
213#2454C2212yescomplemented
214#2453C2212yescomplemented
215#2452C2212yescomplemented
216#2451C2212yescomplemented
217#2450C2214yes—
218#2449C2214yes—
219#2442C2214yes—
220#2442C2214yes—
221#2442C2212yes—
222#2442C2211yescharacteristic
223#2442C2211yescharacteristic
224#2442C2212yescomplemented
225#2442C2212yescomplemented
226#2441C2211yescharacteristic
227#2441C2212yes—
228#2441C2211yescharacteristic
229#2441C2212yescomplemented
230#2441C2212yescomplemented
231#2440C2214yes—
232#2440C2211yescharacteristic
233#2440C2212yes—
234#2440C2211yescharacteristic
235#2440C2212yescomplemented
236#2440C2212yescomplemented
237#2439C2211yescharacteristic
238#2439C2212yes—
239#2439C2211yescharacteristic
240#2439C2212yescomplemented
241#2439C2212yescomplemented
242#2438C2212yes—
243#2438C2214yes—
244#2438C2212yes—
245#2437C2212yes—
246#2437C2214yes—
247#2437C2212yes—
248#2423C2212yes—
249#2422C2212yes—
250#2421C2212yes—
251#2420C2212yes—
252#2419C2214yes—
253#2418C2214yes—
254#2417C2214yes—
255#2412C2214yes—
256#2398C2212yes—
257#2398C2212yes—
258#2396C2212yes—
259#2396C2212yes—
260C2×#400C2212yes—
261C2×#397C2212yes—
262#2383C2214yes—
263#2383C2214yescomplemented
264#2382C2214yescomplemented
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2317C2211yescharacteristic
270#2316C2211yescharacteristic
271#2316C2211yescharacteristic
272#2316C2211yescharacteristic
273#2316C2211yescharacteristic
274#2316C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278C4×#124C2212yes—
279C4×#124C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#387C2212yes—
289#2285C2211yescharacteristic
290C2×#384C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#380C2211yescharacteristic
294C2×#380C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C24×C4C2311yescharacteristic
301#563—416no—
302#544—44no—
303#533—44no—
304#533—44no—
305C2×C4⋊Q8C2314yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2314yes—
313C2×#126—48no—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2311yescharacteristic
326C2×#125C2311yescharacteristic
327C2×#125C2311yescharacteristic
328C2×#125C2311yescharacteristic
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333#525—44no—
334C2×#123C2314yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#120C2312yes—
352#520—44no—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×#117—44no—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2312yes—
394C22×C42C2312yes—
395#401C2314yes—
396#401C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#399C2314yes—
431#399C2312yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2312yes—
460#398C2312yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2314yes—
473#397C2312yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2312yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2312yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2312yes—
497#396C2314yes—
498#396C2312yes—
499#396C2314yes—
500#396C2312yes—
501#395C2314yes—
502#395C2314yes—
503#395C2314yes—
504#395C2314yes—
505#395C2314yes—
506#395C2314yes—
507#395C2314yes—
508#395C2314yes—
509#395C2314yes—
510#395C2314yes—
511#395C2314yes—
512#395C2312yes—
513#395C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2312yes—
519#394C2312yes—
520#394C2312yes—
521#394C2314yes—
522#393C2314yes—
523#393C2312yes—
524#393C2312yes—
525#393C2312yes—
526#393C2312yes—
527#393C2314yes—
528#393C2314yes—
529#393C2312yes—
530#393C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2314yes—
535#391C2314yes—
536#391C2314yes—
537#391C2314yes—
538#391C2312yes—
539#391C2314yes—
540#391C2314yes—
541#391C2311yescharacteristic
542#391C2311yescharacteristic
543#391C2314yes—
544#391C2312yes—
545#391C2311yescharacteristic
546#391C2311yescharacteristic
547#391C2312yes—
548#391C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#390C2312yes—
556#390C2312yes—
557#390C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2314yes—
605#389C2314yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2311yescharacteristic
614#389C2314yes—
615#389C2312yes—
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2312yes—
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#385C2314yes—
700#385C2312yes—
701#385C2312yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#384C2314yes—
706#384C2314yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2312yes—
713#384C2312yes—
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2312yes—
718#383C2314yes—
719#383C2314yes—
720#382C2314yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2314yes—
725#382C2314yes—
726#382C2312yes—
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2311yescharacteristic
731#382C2311yescharacteristic
732#381C2314yes—
733#381C2314yes—
734#381C2312yes—
735#381C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2314yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2312yes—
770#379C2312yes—
771#379C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809#376C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C43C2312yes—
818C25C2411yescharacteristic
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2414yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C23×C4—24no—
833C23×C4—24no—
834C23×C4—24no—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2411yescharacteristic
853C4⋊Q8—42no—
854C4⋊Q8—42no—
855C4⋊Q8—42no—
856C4⋊Q8—42no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—48no—
860C4⋊Q8—48no—
861#126—216no—
862#126—48no—
863#126—48no—
864#126—48no—
865#126—48no—
866#126—48no—
867#126—48no—
868#126—48no—
869#125—48no—
870#125—42no—
871#125—42no—
872#125—42no—
873#125—42no—
874#125—44no—
875#125—44no—
876#125—48no—
877#125—48no—
878#124—28no—
879#124—44no—
880#123—48no—
881#123—44no—
882#123—48no—
883C22⋊Q8—28no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—48no—
889C22⋊Q8—48no—
890C22⋊Q8—44no—
891C22⋊Q8—48no—
892C22⋊Q8—48no—
893C22⋊Q8—42no—
894C22⋊Q8—42no—
895#121—42no—
896#121—42no—
897#120—44no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—48no—
907#117—24no—
908#117—24no—
909#117—24no—
910#117—24no—
911#117—24no—
912#117—24no—
913#117—24no—
914#117—44no—
915#117—44no—
916#117—42no—
917#117—42no—
918#117—44no—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—42no—
925C2×C4⋊C4—42no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C22⋊C4—24no—
1013C2×C22⋊C4—42no—
1014C2×C22⋊C4—44no—
1015C2×C22⋊C4—44no—
1016C2×C22⋊C4—44no—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C42—24no—
1066C2×C42—24no—
1067C2×C42—44no—
1068C2×C42—44no—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173C24—22no—
1174C24—22no—
1175C24—22no—
1176C24—22no—
1177C24—41no—
1178C24—41no—
1179C24—41no—
1180C24C2511yescharacteristic
1181C24C2512yes—
1182C24C2511yescharacteristic
1183C24C2511yescharacteristic
1184#41—416no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—41no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—41no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—416no—
1267C22×C4H(5,𝔽2)14yes—
1268C22×C42−1+414yes—
1269C22×C42−1+414yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2514yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C22⋊C4—22no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—24no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4H(5,𝔽2)14yes—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—24no—
1437C42—28no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—24no—
1447C42—24no—
1448C42—24no—
1449C42—42no—
1450C42—42no—
1451C42—44no—
1452C42—42no—
1453C42—42no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23—21no—
1472C23—21no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—21no—
1477C23—22no—
1478C23—21no—
1479C23—22no—
1480C23—21no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—82no—
1486C23—82no—
1487C23—82no—
1488C23C2×H(5,𝔽2)12yes—
1489C23C2×H(5,𝔽2)12yes—
1490C23C2×2−1+412yes—
1491C23C2×2−1+412yes—
1492C23C2611yescharacteristic
1493Q8—44no—
1494Q8—84no—
1495Q8—84no—
1496Q8—84no—
1497Q8—84no—
1498Q8—164no—
1499D4—48no—
1500D4—44no—
1501D4—84no—
1502D4—84no—
1503C2×C4—21no—
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—24no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—48no—
1596C2×C4—84no—
1597C2×C4—84no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4—82no—
1602C2×C4—84no—
1603C2×C4—164no—
1604C2×C4#563116yescomplemented
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×H(5,𝔽2)12yes—
1607C2×C4C2×H(5,𝔽2)12yes—
1608C2×C4C2×H(5,𝔽2)12yes—
1609C2×C4C2×2−1+412yes—
1610C2×C4C2×2−1+412yes—
1611C2×C4C2×2−1+412yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4#58512yes—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—42no—
1630C22—41no—
1631C22—42no—
1632C22—41no—
1633C22—42no—
1634C22—41no—
1635C22—42no—
1636C22—41no—
1637C22—41no—
1638C22—42no—
1639C22—41no—
1640C22—42no—
1641C22—88no—
1642C22C2×#56314yes—
1643C22C22×H(5,𝔽2)11yescharacteristic
1644C22C22×H(5,𝔽2)11yescharacteristic
1645C22C22×2−1+411yescharacteristic
1646C22C22×2−1+411yescharacteristic
1647C22C2×#58511yescharacteristic
1648C222−1+611yescharacteristic
1649C222−1+611yescharacteristic
1650C4—22no—
1651C4—22no—
1652C4—22no—
1653C4—42no—
1654C4—44no—
1655C4—44no—
1656C4—42no—
1657C4—41no—
1658C4—44no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—41no—
1666C4—44no—
1667C4—42no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—42no—
1672C4—42no—
1673C4—42no—
1674C4—41no—
1675C4—41no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4C2×#56314yes—
1680C4C2×#56314yes—
1681C2—24no—
1682C2—42no—
1683C2—82no—
1684C2—81no—
1685C2C22×#56311yescharacteristic
1686C2#6283511yescharacteristic
1687C2#6288911yescharacteristic
1688C2#6291411yescharacteristic
1689C2#6291511yescharacteristic
1690C2#6292811yescharacteristic
1691C2#6296011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53133C2semidirect
2. #53124C2semidirect
3. #53119C2semidirect
4. #53107C2semidirect
5. #53081C2semidirect
6. #53020C2semidirect
7. #52991C2semidirect
8. #52983C2semidirect
9. #52508C2semidirect
10. #52491C2semidirect
11. #46174C2semidirect
12. #46174C2semidirect
13. #46158C2semidirect
14. #46147C2semidirect
15. #46094C2semidirect
16. #45971C2semidirect
17. #45715C2semidirect
18. #45674C2semidirect
19. #45618C2semidirect
20. #45485C2semidirect
21. #35575C2semidirect
22. #35566C2semidirect
23. #35557C2semidirect
24. #35544C2semidirect
25. #35519C2semidirect
27. #35286C2semidirect
28. #35265C2semidirect
30. #35253C2semidirect
31. #35173C2semidirect
32. #35160C2semidirect
34. C2×#2496C2semidirect
35. #34739C2semidirect
44. #2864C22semidirect
45. #2859C22semidirect
46. #2859C22semidirect
47. #2859C22semidirect
54. #2841C22semidirect
55. #2839C22semidirect
56. #2839C22semidirect
57. #2839C22semidirect
59. #2838C22semidirect
60. #2838C22semidirect
63. #2833C22semidirect
66. #2831C22semidirect
67. #2831C22semidirect
70. #2822C22semidirect
74. #2805C22semidirect
75. #2799C22semidirect
76. #2794C22semidirect
77. #2791C22semidirect
78. #2774C22semidirect
79. #2774C22semidirect
81. #2773C22semidirect
82. #2771C22semidirect
83. #2770C22semidirect
84. #2762C22semidirect
85. #2762C22semidirect
86. #2758C22semidirect
88. #2734C22semidirect
89. #2729C22semidirect
92. #2725C22semidirect
98. #2721C22semidirect
101. #2716C22semidirect
107. #2698C22semidirect
108. #2698C22semidirect
112. #2690C22semidirect
115. #2647C22semidirect
116. #2647C22semidirect
117. #2647C22semidirect
118. #2647C22semidirect
124. #2584C22semidirect
125. #2584C22semidirect
126. #2584C22semidirect
127. #2584C22semidirect
128. #2584C22semidirect
129. #2584C22semidirect
130. #2582C22semidirect
131. #2581C22semidirect
132. #2580C22semidirect
133. #2571C22semidirect
134. #2571C22semidirect
135. #2567C22semidirect
136. #2567C22semidirect
137. #2567C22semidirect
139. #2552C22semidirect
140. #2552C22semidirect
141. #2552C22semidirect
142. #2551C22semidirect
143. #2550C22semidirect
144. #2550C22semidirect
146. #2546C22semidirect
147. #2546C22semidirect
148. #2546C22semidirect
149. #2538C22semidirect
150. #2514C22semidirect
151. #2513C22semidirect
152. #2512C22semidirect
153. #2512C22semidirect
154. #2512C22semidirect
155. #2511C22semidirect
156. #2511C22semidirect
157. #2511C22semidirect
158. #2509C22semidirect
159. #2508C22semidirect
160. #2507C22semidirect
161. #2506C22semidirect
166. #2497C22semidirect
167. #2497C22semidirect
168. #2497C22semidirect
179. #2496C22semidirect
180. #2496C22semidirect
181. #2496C22semidirect
184. #2495C22semidirect
187. #2494C22semidirect
213. #2454C22semidirect
214. #2453C22semidirect
215. #2452C22semidirect
216. #2451C22semidirect
224. #2442C22semidirect
225. #2442C22semidirect
229. #2441C22semidirect
230. #2441C22semidirect
235. #2440C22semidirect
236. #2440C22semidirect
240. #2439C22semidirect
241. #2439C22semidirect
263. #2383C22semidirect
264. #2382C22semidirect
1604. C2×C4#563semidirect

Maximal subgroups

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

subgroupindex
#531332
#531242
#531192
#531072
#530812
#530202
#529912
#529832
#525082
#524912
#461742
#461582
#461472
#460942
#459712
#457152
#456742
#456182
#454852
#355752
#355662
#355572
#355442
#355192
#355162
#352862
#352652
#352632
#352532
#351732
#351602
#348132
C2×#24962
#347392