Finite Group Databasebeta

← #8095280

Subgroups — #8095280

Order 512.

4431 conjugacy classes of subgroups.

The subgroup lattice has 1687 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53133C212yesmaximal, complemented
2#53123C212yesmaximal, complemented
3#53119C212yesmaximal, complemented
4#53109C212yesmaximal, complemented
5#53081C212yesmaximal, complemented
6#53026C212yesmaximal, complemented
7#52991C212yesmaximal, complemented
8#52965C212yesmaximal, complemented
9#52509C214yesmaximal, complemented
10#52473C214yesmaximal, complemented
11#46180C212yesmaximal, complemented
12#46180C212yesmaximal, complemented
13#46158C212yesmaximal, complemented
14#46152C212yesmaximal, complemented
15#46125C214yesmaximal, complemented
16#46039C214yesmaximal, complemented
17#45719C212yesmaximal, complemented
18#45654C212yesmaximal, complemented
19#45595C212yesmaximal, complemented
20#45499C212yesmaximal, 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×#2497C211yesmaximal, characteristic, complemented
35#34739C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C22×#117C2211yescharacteristic
42#2864C2212yescomplemented
43#2859C2212yescomplemented
44#2859C2212yescomplemented
45#2859C2212yescomplemented
46#2857C2214yes—
47#2857C2212yes—
48#2855C2212yes—
49#2854C2212yes—
50#2852C2214yes—
51#2851C2212yes—
52#2844C2214yescomplemented
53#2841C2214yes—
54#2839C2214yescomplemented
55#2839C2214yescomplemented
56#2839C2214yescomplemented
57#2838C2214yes—
58#2836C2214yes—
59#2836C2214yescomplemented
60#2836C2214yescomplemented
61#2835C2214yescomplemented
62#2833C2214yescomplemented
63#2832C2214yes—
64#2831C2214yes—
65#2831C2214yes—
66#2831C2214yescomplemented
67#2827C2214yes—
68#2823C2214yes—
69#2821C2214yescomplemented
70#2820C2214yes—
71#2814C2214yes—
72#2809C2214yescomplemented
73#2805C2214yescomplemented
74#2799C2214yescomplemented
75#2794C2214yescomplemented
76#2791C2214yescomplemented
77#2775C2214yes—
78#2775C2214yescomplemented
79#2773C2214yes—
80#2773C2214yescomplemented
81#2771C2214yes—
82#2770C2214yes—
83#2766C2214yescomplemented
84#2766C2214yescomplemented
85#2765C2214yes—
86#2765C2214yescomplemented
87#2758C2214yescomplemented
88#2745C2214yescomplemented
89#2729C2214yes—
90#2727C2214yes—
91#2725C2214yes—
92#2725C2214yescomplemented
93#2722C2214yescomplemented
94#2720C2214yes—
95#2720C2214yes—
96#2720C2214yescomplemented
97#2720C2214yescomplemented
98#2718C2214yes—
99#2716C2214yes—
100#2716C2214yescomplemented
101#2713C2214yescomplemented
102#2713C2214yescomplemented
103#2707C2214yes—
104#2707C2214yes—
105#2702C2214yes—
106#2695C2214yes—
107#2695C2214yes—
108#2689C2214yescomplemented
109#2683C2214yes—
110#2674C2214yes—
111#2674C2214yes—
112#2659C2214yes—
113#2647C2212yescomplemented
114#2647C2212yescomplemented
115#2647C2212yescomplemented
116#2647C2212yescomplemented
117#2643C2214yes—
118#2629C2212yes—
119#2628C2212yes—
120#2625C2212yes—
121#2624C2212yes—
122#2584C2212yescomplemented
123#2584C2212yescomplemented
124#2584C2212yescomplemented
125#2584C2212yescomplemented
126#2584C2212yescomplemented
127#2584C2212yescomplemented
128#2582C2212yescomplemented
129#2581C2212yescomplemented
130#2580C2212yescomplemented
131#2571C2212yescomplemented
132#2571C2212yescomplemented
133#2567C2212yescomplemented
134#2567C2212yescomplemented
135#2567C2212yescomplemented
136#2564C2214yes—
137#2552C2212yescomplemented
138#2552C2212yescomplemented
139#2552C2212yescomplemented
140#2551C2212yescomplemented
141#2550C2212yescomplemented
142#2550C2212yescomplemented
143#2549C2214yes—
144#2546C2212yescomplemented
145#2546C2212yescomplemented
146#2546C2212yescomplemented
147#2538C2212yescomplemented
148#2514C2212yescomplemented
149#2513C2212yescomplemented
150#2512C2212yescomplemented
151#2512C2212yescomplemented
152#2512C2212yescomplemented
153#2511C2212yescomplemented
154#2511C2212yescomplemented
155#2511C2212yescomplemented
156#2509C2212yescomplemented
157#2508C2212yescomplemented
158#2507C2212yescomplemented
159#2506C2212yescomplemented
160#2505C2214yes—
161#2498C2214yes—
162#2497C2212yes—
163#2497C2212yes—
164#2497C2212yes—
165#2497C2212yes—
166#2497C2212yes—
167#2497C2212yes—
168#2497C2212yes—
169#2497C2212yes—
170#2497C2212yes—
171#2497C2212yes—
172#2497C2212yescomplemented
173#2497C2212yescomplemented
174#2497C2212yescomplemented
175#2496C2212yes—
176#2496C2212yes—
177#2496C2212yescomplemented
178#2496C2212yescomplemented
179#2496C2212yescomplemented
180#2495C2212yes—
181#2495C2212yes—
182#2495C2212yescomplemented
183#2494C2212yes—
184#2494C2212yes—
185#2494C2212yescomplemented
186#2493C2214yes—
187#2492C2211yescharacteristic
188#2492C2211yescharacteristic
189#2491C2211yescharacteristic
190#2491C2211yescharacteristic
191#2490C2211yescharacteristic
192#2490C2211yescharacteristic
193#2489C2211yescharacteristic
194#2489C2211yescharacteristic
195#2488C2212yes—
196#2488C2212yes—
197#2487C2212yes—
198#2487C2212yes—
199#2486C2212yes—
200#2486C2212yes—
201#2485C2212yes—
202#2485C2212yes—
203#2485C2212yes—
204#2485C2212yes—
205#2481C2214yes—
206#2481C2214yes—
207#2480C2214yes—
208#2473C2214yes—
209#2472C2212yes—
210#2472C2212yes—
211#2454C2212yescomplemented
212#2453C2212yescomplemented
213#2452C2212yescomplemented
214#2451C2212yescomplemented
215#2450C2214yes—
216#2449C2214yes—
217#2442C2214yes—
218#2442C2214yes—
219#2442C2212yes—
220#2442C2211yescharacteristic
221#2442C2211yescharacteristic
222#2442C2212yescomplemented
223#2442C2212yescomplemented
224#2441C2211yescharacteristic
225#2441C2212yes—
226#2441C2211yescharacteristic
227#2441C2212yescomplemented
228#2441C2212yescomplemented
229#2440C2214yes—
230#2440C2211yescharacteristic
231#2440C2212yes—
232#2440C2211yescharacteristic
233#2440C2212yescomplemented
234#2440C2212yescomplemented
235#2439C2211yescharacteristic
236#2439C2212yes—
237#2439C2211yescharacteristic
238#2439C2212yescomplemented
239#2439C2212yescomplemented
240#2438C2212yes—
241#2438C2214yes—
242#2438C2212yes—
243#2437C2212yes—
244#2437C2212yes—
245#2437C2214yes—
246#2423C2212yes—
247#2422C2212yes—
248#2421C2212yes—
249#2420C2212yes—
250#2419C2214yes—
251#2418C2214yes—
252#2417C2214yes—
253#2412C2214yes—
254#2398C2212yes—
255#2398C2212yes—
256#2396C2212yes—
257#2396C2212yes—
258C2×#400C2212yes—
259C2×#396C2212yes—
260#2382C2214yescomplemented
261#2379C2214yes—
262#2378C2214yes—
263#2378C2214yescomplemented
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2316C2211yescharacteristic
270#2316C2211yescharacteristic
271#2316C2211yescharacteristic
272#2316C2211yescharacteristic
273#2316C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277C4×#124C2212yes—
278C4×#124C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285C2×#389C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#388C2212yes—
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#544—44no—
302#533—44no—
303#533—44no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327#525—44no—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#120C2312yes—
346#520—44no—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×#117—44no—
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2312yes—
388C22×C42C2312yes—
389#401C2314yes—
390#401C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2312yes—
429#399C2314yes—
430#399C2312yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2312yes—
456#398C2314yes—
457#398C2314yes—
458#398C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2312yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2312yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2312yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#395C2314yes—
504#395C2314yes—
505#395C2314yes—
506#395C2312yes—
507#395C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2312yes—
515#394C2312yes—
516#393C2314yes—
517#393C2312yes—
518#393C2312yes—
519#393C2314yes—
520#393C2312yes—
521#393C2314yes—
522#393C2312yes—
523#393C2312yes—
524#393C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2314yes—
529#391C2314yes—
530#391C2314yes—
531#391C2314yes—
532#391C2314yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#391C2314yes—
537#391C2314yes—
538#391C2312yes—
539#391C2311yescharacteristic
540#391C2311yescharacteristic
541#391C2312yes—
542#391C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2312yes—
549#390C2311yescharacteristic
550#390C2311yescharacteristic
551#390C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
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#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2314yes—
600#389C2314yes—
601#389C2312yes—
602#389C2314yes—
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2314yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2312yes—
616#389C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#385C2312yes—
703#384C2314yes—
704#384C2314yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2312yes—
715#384C2312yes—
716#383C2314yes—
717#383C2314yes—
718#382C2314yes—
719#382C2312yes—
720#382C2312yes—
721#382C2314yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2314yes—
727#382C2312yes—
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#381C2314yes—
731#381C2314yes—
732#381C2312yes—
733#381C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2312yes—
747#380C2314yes—
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2314yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2312yes—
768#379C2312yes—
769#379C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2311yescharacteristic
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C43C2312yes—
816C25C2411yescharacteristic
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—24no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C23×C4—24no—
831C23×C4—24no—
832C23×C4—24no—
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2411yescharacteristic
851C4⋊Q8—42no—
852C4⋊Q8—42no—
853C4⋊Q8—42no—
854C4⋊Q8—42no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857C4⋊Q8—84no—
858C4⋊Q8—84no—
859#126—84no—
860#126—84no—
861#126—84no—
862#126—84no—
863#125—48no—
864#125—42no—
865#125—42no—
866#125—42no—
867#125—42no—
868#125—44no—
869#125—44no—
870#125—84no—
871#125—84no—
872#124—28no—
873#124—44no—
874#123—44no—
875#123—84no—
876#123—84no—
877C22⋊Q8—28no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—48no—
883C22⋊Q8—44no—
884C22⋊Q8—48no—
885C22⋊Q8—42no—
886C22⋊Q8—42no—
887C22⋊Q8—84no—
888C22⋊Q8—84no—
889#121—42no—
890#121—42no—
891#120—44no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—48no—
901#117—24no—
902#117—24no—
903#117—24no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—44no—
909#117—44no—
910#117—42no—
911#117—42no—
912#117—44no—
913C2×C4⋊C4—24no—
914C2×C4⋊C4—24no—
915C2×C4⋊C4—24no—
916C2×C4⋊C4—24no—
917C2×C4⋊C4—44no—
918C2×C4⋊C4—42no—
919C2×C4⋊C4—42no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—82no—
922C2×C4⋊C4—82no—
923C2×C4⋊C4—82no—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C22⋊C4—24no—
1007C2×C22⋊C4—42no—
1008C2×C22⋊C4—44no—
1009C2×C22⋊C4—82no—
1010C2×C22⋊C4—82no—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C42—24no—
1060C2×C42—24no—
1061C2×C42—44no—
1062C2×C42—82no—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
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#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—
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—
1167C24—22no—
1168C24—22no—
1169C24—22no—
1170C24—22no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24C2511yescharacteristic
1175C24C2512yes—
1176C24C2511yescharacteristic
1177C24C2511yescharacteristic
1178#41—416no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—41no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—41no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—416no—
1261C22×C4H(5,𝔽2)14yes—
1262C22×C42−1+414yes—
1263C22×C42−1+414yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2514yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—22no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—24no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C42−1+414yes—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—42no—
1443C42—42no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—42no—
1448C42—42no—
1449C42—44no—
1450C42—44no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—21no—
1471C23—22no—
1472C23—21no—
1473C23—22no—
1474C23—21no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—82no—
1480C23—82no—
1481C23—82no—
1482C23C2×H(5,𝔽2)12yes—
1483C23C2×2−1+412yes—
1484C23C2×2−1+412yes—
1485C23C2×2−1+412yes—
1486C23C2611yescharacteristic
1487Q8—44no—
1488Q8—84no—
1489Q8—84no—
1490Q8—84no—
1491Q8—84no—
1492Q8—164no—
1493D4—48no—
1494D4—44no—
1495D4—84no—
1496D4—84no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—82no—
1594C2×C4—84no—
1595C2×C4—84no—
1596C2×C4—84no—
1597C2×C4—164no—
1598C2×C4#563116yes—
1599C2×C4C2×H(5,𝔽2)12yes—
1600C2×C4C2×H(5,𝔽2)12yes—
1601C2×C4C2×2−1+412yes—
1602C2×C4C2×2−1+412yes—
1603C2×C4C2×2−1+412yes—
1604C2×C4C2×2−1+412yes—
1605C2×C4C2×2−1+412yes—
1606C2×C4C2×2−1+412yes—
1607C2×C4#58512yes—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—42no—
1624C22—41no—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—42no—
1630C22—41no—
1631C22—41no—
1632C22—42no—
1633C22—42no—
1634C22—41no—
1635C22—88no—
1636C22C2×#56314yes—
1637C22C22×H(5,𝔽2)11yescharacteristic
1638C22C22×2−1+411yescharacteristic
1639C22C22×2−1+411yescharacteristic
1640C22C22×2−1+411yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22H(7,𝔽2)11yescharacteristic
1643C22H(7,𝔽2)11yescharacteristic
1644C4—22no—
1645C4—22no—
1646C4—22no—
1647C4—42no—
1648C4—42no—
1649C4—44no—
1650C4—44no—
1651C4—44no—
1652C4—42no—
1653C4—41no—
1654C4—41no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—41no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—44no—
1673C4C2×#56314yes—
1674C4C2×#56314yes—
1675C2—24no—
1676C2—42no—
1677C2—82no—
1678C2—81no—
1679C2C22×#56311yescharacteristic
1680C2#6283711yescharacteristic
1681C2#6288111yescharacteristic
1682C2#6293011yescharacteristic
1683C2#6294411yescharacteristic
1684C2#6294511yescharacteristic
1685C2#6295811yescharacteristic
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. #53123C2semidirect
3. #53119C2semidirect
4. #53109C2semidirect
5. #53081C2semidirect
6. #53026C2semidirect
7. #52991C2semidirect
8. #52965C2semidirect
9. #52509C2semidirect
10. #52473C2semidirect
11. #46180C2semidirect
12. #46180C2semidirect
13. #46158C2semidirect
14. #46152C2semidirect
15. #46125C2semidirect
16. #46039C2semidirect
17. #45719C2semidirect
18. #45654C2semidirect
19. #45595C2semidirect
20. #45499C2semidirect
21. #35575C2semidirect
22. #35566C2semidirect
23. #35557C2semidirect
24. #35544C2semidirect
25. #35519C2semidirect
27. #35286C2semidirect
28. #35265C2semidirect
30. #35253C2semidirect
31. #35173C2semidirect
32. #35160C2semidirect
34. C2×#2497C2semidirect
35. #34739C2semidirect
42. #2864C22semidirect
43. #2859C22semidirect
44. #2859C22semidirect
45. #2859C22semidirect
52. #2844C22semidirect
54. #2839C22semidirect
55. #2839C22semidirect
56. #2839C22semidirect
59. #2836C22semidirect
60. #2836C22semidirect
61. #2835C22semidirect
62. #2833C22semidirect
66. #2831C22semidirect
69. #2821C22semidirect
72. #2809C22semidirect
73. #2805C22semidirect
74. #2799C22semidirect
75. #2794C22semidirect
76. #2791C22semidirect
78. #2775C22semidirect
80. #2773C22semidirect
83. #2766C22semidirect
84. #2766C22semidirect
86. #2765C22semidirect
87. #2758C22semidirect
88. #2745C22semidirect
92. #2725C22semidirect
93. #2722C22semidirect
96. #2720C22semidirect
97. #2720C22semidirect
100. #2716C22semidirect
101. #2713C22semidirect
102. #2713C22semidirect
108. #2689C22semidirect
113. #2647C22semidirect
114. #2647C22semidirect
115. #2647C22semidirect
116. #2647C22semidirect
122. #2584C22semidirect
123. #2584C22semidirect
124. #2584C22semidirect
125. #2584C22semidirect
126. #2584C22semidirect
127. #2584C22semidirect
128. #2582C22semidirect
129. #2581C22semidirect
130. #2580C22semidirect
131. #2571C22semidirect
132. #2571C22semidirect
133. #2567C22semidirect
134. #2567C22semidirect
135. #2567C22semidirect
137. #2552C22semidirect
138. #2552C22semidirect
139. #2552C22semidirect
140. #2551C22semidirect
141. #2550C22semidirect
142. #2550C22semidirect
144. #2546C22semidirect
145. #2546C22semidirect
146. #2546C22semidirect
147. #2538C22semidirect
148. #2514C22semidirect
149. #2513C22semidirect
150. #2512C22semidirect
151. #2512C22semidirect
152. #2512C22semidirect
153. #2511C22semidirect
154. #2511C22semidirect
155. #2511C22semidirect
156. #2509C22semidirect
157. #2508C22semidirect
158. #2507C22semidirect
159. #2506C22semidirect
172. #2497C22semidirect
173. #2497C22semidirect
174. #2497C22semidirect
177. #2496C22semidirect
178. #2496C22semidirect
179. #2496C22semidirect
182. #2495C22semidirect
185. #2494C22semidirect
211. #2454C22semidirect
212. #2453C22semidirect
213. #2452C22semidirect
214. #2451C22semidirect
222. #2442C22semidirect
223. #2442C22semidirect
227. #2441C22semidirect
228. #2441C22semidirect
233. #2440C22semidirect
234. #2440C22semidirect
238. #2439C22semidirect
239. #2439C22semidirect
260. #2382C22semidirect
263. #2378C22semidirect

Maximal subgroups

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

subgroupindex
#531332
#531232
#531192
#531092
#530812
#530262
#529912
#529652
#525092
#524732
#461802
#461582
#461522
#461252
#460392
#457192
#456542
#455952
#454992
#355752
#355662
#355572
#355442
#355192
#355162
#352862
#352652
#352632
#352532
#351732
#351602
#348132
C2×#24972
#347392