Finite Group Databasebeta

← #8094828

Subgroups — #8094828

Order 512.

4696 conjugacy classes of subgroups.

The subgroup lattice has 1685 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53132C212yesmaximal, complemented
2#53125C212yesmaximal, complemented
3#53123C212yesmaximal, complemented
4#53109C212yesmaximal, complemented
5#53035C212yesmaximal, complemented
6#53020C212yesmaximal, complemented
7#52998C212yesmaximal, complemented
8#52983C212yesmaximal, complemented
9#52491C214yesmaximal, complemented
10#52473C214yesmaximal, complemented
11#46113C212yesmaximal, complemented
12#46105C212yesmaximal, complemented
13#46039C214yesmaximal, complemented
14#46014C212yesmaximal, complemented
15#45998C212yesmaximal, complemented
16#45971C214yesmaximal, complemented
17#45715C212yesmaximal, complemented
18#45654C212yesmaximal, complemented
19#45595C212yesmaximal, complemented
20#45485C212yesmaximal, complemented
21#35566C211yesmaximal, characteristic, complemented
22#35558C211yesmaximal, characteristic, complemented
23#35557C211yesmaximal, characteristic, complemented
24#35541C211yesmaximal, characteristic
25#35529C211yesmaximal, characteristic, complemented
26#35515C211yesmaximal, characteristic, complemented
27#35286C211yesmaximal, characteristic, complemented
28#35264C211yesmaximal, characteristic
29#35257C211yesmaximal, characteristic, complemented
30#35254C211yesmaximal, characteristic
31#35167C211yesmaximal, characteristic, complemented
32#35160C211yesmaximal, characteristic, complemented
33#34947C211yesmaximal, characteristic, complemented
34#34815C211yesmaximal, characteristic, complemented
35C2×#2512C211yesmaximal, characteristic, complemented
36C2×#563C2214yescomplemented
37C2×#544C2211yescharacteristic
38C2×#544C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C22×#126C2212yes—
42C2×#518C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44#2861C2212yes—
45#2859C2212yescomplemented
46#2859C2212yescomplemented
47#2858C2212yes—
48#2857C2214yes—
49#2857C2212yescomplemented
50#2854C2212yes—
51#2854C2212yes—
52#2852C2214yes—
53#2851C2212yescomplemented
54#2841C2214yescomplemented
55#2838C2214yescomplemented
56#2838C2214yescomplemented
57#2836C2214yescomplemented
58#2836C2214yescomplemented
59#2835C2214yescomplemented
60#2832C2214yescomplemented
61#2832C2214yescomplemented
62#2831C2214yescomplemented
63#2831C2214yescomplemented
64#2831C2214yescomplemented
65#2827C2214yescomplemented
66#2827C2214yescomplemented
67#2823C2214yescomplemented
68#2823C2214yescomplemented
69#2821C2214yescomplemented
70#2820C2214yescomplemented
71#2820C2214yescomplemented
72#2814C2214yescomplemented
73#2814C2214yescomplemented
74#2775C2214yescomplemented
75#2773C2214yescomplemented
76#2773C2214yescomplemented
77#2771C2214yescomplemented
78#2770C2214yescomplemented
79#2765C2214yescomplemented
80#2745C2214yescomplemented
81#2729C2214yescomplemented
82#2727C2214yescomplemented
83#2727C2214yescomplemented
84#2725C2214yescomplemented
85#2725C2214yescomplemented
86#2724C2214yescomplemented
87#2723C2214yescomplemented
88#2723C2214yescomplemented
89#2722C2214yescomplemented
90#2721C2214yescomplemented
91#2720C2214yescomplemented
92#2720C2214yescomplemented
93#2718C2214yescomplemented
94#2718C2214yescomplemented
95#2716C2214yescomplemented
96#2716C2214yescomplemented
97#2715C2214yescomplemented
98#2715C2214yescomplemented
99#2707C2214yescomplemented
100#2707C2214yescomplemented
101#2702C2214yescomplemented
102#2702C2214yescomplemented
103#2698C2214yescomplemented
104#2698C2214yescomplemented
105#2695C2214yescomplemented
106#2695C2214yescomplemented
107#2695C2214yescomplemented
108#2695C2214yescomplemented
109#2690C2214yescomplemented
110#2689C2214yescomplemented
111#2683C2214yescomplemented
112#2674C2214yescomplemented
113#2674C2214yescomplemented
114#2659C2214yes—
115#2647C2212yescomplemented
116#2647C2212yescomplemented
117#2643C2214yes—
118#2641C2212yes—
119#2640C2212yes—
120#2629C2212yescomplemented
121#2628C2212yescomplemented
122#2624C2212yes—
123#2624C2212yes—
124#2584C2212yescomplemented
125#2584C2212yescomplemented
126#2580C2212yes—
127#2580C2212yes—
128#2571C2212yescomplemented
129#2571C2212yescomplemented
130#2568C2211yescharacteristic, complemented
131#2567C2212yescomplemented
132#2567C2211yescharacteristic, complemented
133#2566C2212yes—
134#2566C2212yes—
135#2566C2211yescharacteristic, complemented
136#2566C2211yescharacteristic, complemented
137#2565C2211yescharacteristic, complemented
138#2565C2211yescharacteristic, complemented
139#2564C2212yes—
140#2564C2212yes—
141#2563C2212yes—
142#2563C2211yescharacteristic, complemented
143#2552C2212yescomplemented
144#2552C2212yescomplemented
145#2552C2212yescomplemented
146#2552C2212yescomplemented
147#2552C2212yescomplemented
148#2551C2212yescomplemented
149#2551C2212yescomplemented
150#2551C2212yescomplemented
151#2550C2212yescomplemented
152#2550C2212yescomplemented
153#2550C2212yescomplemented
154#2550C2212yescomplemented
155#2550C2212yescomplemented
156#2550C2212yescomplemented
157#2549C2214yes—
158#2546C2212yescomplemented
159#2542C2212yes—
160#2542C2211yescharacteristic, complemented
161#2538C2212yes—
162#2538C2212yes—
163#2514C2212yescomplemented
164#2513C2212yes—
165#2513C2212yes—
166#2513C2212yes—
167#2513C2212yes—
168#2513C2212yescomplemented
169#2512C2212yes—
170#2512C2212yes—
171#2512C2212yes—
172#2512C2212yes—
173#2512C2212yes—
174#2512C2212yes—
175#2512C2212yes—
176#2512C2212yes—
177#2512C2212yes—
178#2512C2212yes—
179#2512C2212yes—
180#2512C2212yes—
181#2512C2212yescomplemented
182#2512C2212yescomplemented
183#2512C2212yescomplemented
184#2511C2212yescomplemented
185#2511C2212yescomplemented
186#2511C2212yescomplemented
187#2509C2211yescharacteristic, complemented
188#2509C2211yescharacteristic, complemented
189#2508C2211yescharacteristic, complemented
190#2508C2211yescharacteristic, complemented
191#2507C2211yescharacteristic, complemented
192#2507C2211yescharacteristic, complemented
193#2506C2211yescharacteristic, complemented
194#2506C2211yescharacteristic, complemented
195#2505C2212yes—
196#2505C2212yes—
197#2497C2212yescomplemented
198#2497C2212yescomplemented
199#2497C2212yescomplemented
200#2496C2212yescomplemented
201#2496C2212yescomplemented
202#2496C2212yescomplemented
203#2495C2212yescomplemented
204#2494C2212yescomplemented
205#2491C2212yes—
206#2491C2212yes—
207#2490C2212yes—
208#2490C2212yes—
209#2481C2214yes—
210#2481C2214yes—
211#2480C2214yes—
212#2480C2214yes—
213#2473C2212yes—
214#2473C2212yes—
215#2472C2214yes—
216#2472C2214yes—
217#2454C2212yes—
218#2454C2212yes—
219#2454C2212yes—
220#2454C2212yes—
221#2454C2212yescomplemented
222#2453C2212yescomplemented
223#2452C2212yes—
224#2452C2212yes—
225#2452C2212yes—
226#2452C2212yes—
227#2452C2212yescomplemented
228#2451C2212yescomplemented
229#2450C2214yes—
230#2449C2214yes—
231#2448C2212yes—
232#2448C2212yes—
233#2447C2212yes—
234#2447C2212yes—
235#2445C2212yes—
236#2445C2212yes—
237#2445C2212yes—
238#2445C2212yes—
239#2442C2214yes—
240#2442C2214yes—
241#2440C2214yes—
242#2437C2214yes—
243#2437C2214yes—
244#2437C2214yes—
245#2437C2214yes—
246#2422C2212yes—
247#2422C2212yes—
248#2420C2212yes—
249#2420C2212yes—
250#2418C2214yes—
251#2418C2214yes—
252#2417C2212yes—
253#2417C2212yes—
254#2412C2214yes—
255#2412C2214yes—
256#2402C2212yescomplemented
257#2402C2212yescomplemented
258#2396C2212yescomplemented
259#2396C2212yescomplemented
260C2×#397C2212yes—
261C2×#396C2212yes—
262#2383C2214yescomplemented
263#2379C2214yescomplemented
264#2378C2214yescomplemented
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2316C2211yescharacteristic
269#2316C2211yescharacteristic
270#2316C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2309C2211yescharacteristic
275#2309C2211yescharacteristic
276C4×#125C2212yescomplemented
277C4×#125C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286C2×#390C2211yescharacteristic
287C2×#390C2211yescharacteristic
288C2×#390C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#388C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301#563—416no—
302#544—44no—
303#544—44no—
304#535—44no—
305#533—44no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×#127C2312yes—
315C2×#126—48no—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2311yescharacteristic
329C2×#125C2311yescharacteristic
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#125C2314yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#120C2314yes—
356#518—44no—
357C4×#41—44no—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2314yes—
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2312yes—
392C22×C22⋊C4C2312yes—
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2312yes—
397C22×C42C2312yes—
398#401C2314yes—
399#400C2312yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2312yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2312yes—
421#399C2312yes—
422#399C2312yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#398C2312yes—
431#398C2312yes—
432#398C2312yes—
433#398C2312yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2312yes—
454#398C2312yes—
455#398C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#396C2312yes—
492#396C2312yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#395C2312yes—
503#395C2312yes—
504#395C2314yes—
505#395C2314yes—
506#395C2314yes—
507#395C2314yes—
508#395C2314yes—
509#395C2314yes—
510#395C2314yes—
511#395C2314yes—
512#395C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2312yes—
528#393C2312yes—
529#393C2314yes—
530#393C2314yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#391C2311yescharacteristic
537#391C2311yescharacteristic
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2314yes—
545#391C2314yes—
546#391C2314yes—
547#391C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2314yes—
614#389C2314yes—
615#389C2311yescharacteristic
616#389C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2311yescharacteristic
621#389C2314yes—
622#389C2314yes—
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2311yescharacteristic
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2311yescharacteristic
721#384C2314yes—
722#384C2314yes—
723#384C2312yes—
724#384C2312yes—
725#384C2312yes—
726#384C2312yes—
727#384C2312yes—
728#384C2312yes—
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#383C2314yes—
732#382C2312yes—
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2311yescharacteristic
737#382C2314yes—
738#382C2311yescharacteristic
739#382C2311yescharacteristic
740#382C2312yes—
741#382C2312yes—
742#382C2314yes—
743#382C2311yescharacteristic
744#382C2311yescharacteristic
745#381C2314yes—
746#381C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2312yes—
766#380C2314yes—
767#380C2314yes—
768#380C2312yes—
769#379C2314yes—
770#379C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2312yes—
817C43C2312yes—
818C25C2412yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×Q8C2414yes—
827C22×D4—24no—
828C22×D4—24no—
829C22×D4—24no—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2414yes—
835C22×D4C2414yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C4⋊Q8—42no—
852C4⋊Q8—42no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857C4⋊Q8—48no—
858C4⋊Q8—48no—
859#127—44no—
860#126—216no—
861#126—48no—
862#126—48no—
863#126—48no—
864#126—48no—
865#126—48no—
866#126—48no—
867#126—84no—
868#126—84no—
869#125—28no—
870#125—44no—
871#125—42no—
872#125—42no—
873#125—44no—
874#125—44no—
875#125—44no—
876#125—44no—
877#125—48no—
878#125—84no—
879#124—48no—
880#124—48no—
881#124—44no—
882#123—48no—
883#123—48no—
884#123—84no—
885#123—84no—
886C22⋊Q8—28no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—48no—
890C22⋊Q8—48no—
891C22⋊Q8—48no—
892C22⋊Q8—44no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—84no—
897#121—44no—
898#121—44no—
899#120—48no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—42no—
903C4×Q8—42no—
904C4×D4—42no—
905C4×D4—42no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912#117—24no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—24no—
917#117—24no—
918#117—24no—
919#117—44no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—42no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—82no—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C22⋊C4—44no—
1017C2×C22⋊C4—44no—
1018C2×C22⋊C4—44no—
1019C2×C22⋊C4—44no—
1020C2×C22⋊C4—48no—
1021C2×C22⋊C4—82no—
1022C2×C22⋊C4—82no—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C42—24no—
1071C2×C42—24no—
1072C2×C42—24no—
1073C2×C42—44no—
1074C2×C42—44no—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
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#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
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—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176C24—24no—
1177C24—24no—
1178C24—24no—
1179C24—42no—
1180C24—42no—
1181C24—42no—
1182C24—42no—
1183C24C2514yes—
1184C24C2512yes—
1185C24C2511yescharacteristic
1186#41—416no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×Q8—44no—
1199C2×Q8—44no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—416no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—41no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4H(5,𝔽2)14yes—
1264C22×C42−1+414yes—
1265C22×C42−1+414yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2514yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
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—24no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
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—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4H(5,𝔽2)14yes—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—28no—
1399C22⋊C4—24no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—24no—
1438C42—28no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—24no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—42no—
1456C42—42no—
1457C42—44no—
1458C42—42no—
1459C42—42no—
1460C42—44no—
1461C42—44no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—24no—
1467C23—22no—
1468C23—24no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—24no—
1473C23—24no—
1474C23—22no—
1475C23—24no—
1476C23—22no—
1477C23—24no—
1478C23—22no—
1479C23—24no—
1480C23—48no—
1481C23—84no—
1482C23—84no—
1483C23—84no—
1484C23—84no—
1485C23—84no—
1486C23—84no—
1487C23C2×H(5,𝔽2)12yes—
1488C23C2×2−1+412yes—
1489C23C2×2−1+412yes—
1490C23C2611yescharacteristic
1491Q8—44no—
1492Q8—84no—
1493Q8—84no—
1494Q8—164no—
1495Q8—164no—
1496D4—48no—
1497D4—48no—
1498D4—48no—
1499D4—44no—
1500D4—164no—
1501D4—164no—
1502C2×C4—21no—
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—21no—
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—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—84no—
1594C2×C4—84no—
1595C2×C4—82no—
1596C2×C4—84no—
1597C2×C4—84no—
1598C2×C4—82no—
1599C2×C4—84no—
1600C2×C4—164no—
1601C2×C4—164no—
1602C2×C4#563116yescomplemented
1603C2×C4C2×H(5,𝔽2)12yes—
1604C2×C4C2×H(5,𝔽2)12yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×H(5,𝔽2)12yes—
1607C2×C4C2×H(5,𝔽2)12yes—
1608C2×C4C2×2−1+412yes—
1609C2×C4C2×2−1+412yes—
1610C2×C4C2×2−1+412yes—
1611C2×C4C2×2−1+412yes—
1612C2×C4#58512yes—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—42no—
1620C22—44no—
1621C22—42no—
1622C22—44no—
1623C22—42no—
1624C22—44no—
1625C22—42no—
1626C22—44no—
1627C22—42no—
1628C22—44no—
1629C22—42no—
1630C22—44no—
1631C22—42no—
1632C22—44no—
1633C22—168no—
1634C22C2×#56314yes—
1635C22C22×H(5,𝔽2)11yescharacteristic
1636C22C22×H(5,𝔽2)11yescharacteristic
1637C22C22×2−1+411yescharacteristic
1638C22C22×2−1+411yescharacteristic
1639C22C2×#58511yescharacteristic
1640C22H(7,𝔽2)11yescharacteristic
1641C222−1+611yescharacteristic
1642C4—22no—
1643C4—22no—
1644C4—22no—
1645C4—22no—
1646C4—41no—
1647C4—44no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—41no—
1655C4—41no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—41no—
1662C4—41no—
1663C4—42no—
1664C4—44no—
1665C4—44no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4C2×#56314yes—
1673C4C2×#56314yes—
1674C2—24no—
1675C2—82no—
1676C2—84no—
1677C2C22×#56311yescharacteristic
1678C2#6283411yescharacteristic
1679C2#6287811yescharacteristic
1680C2#6291511yescharacteristic
1681C2#6291711yescharacteristic
1682C2#6293211yescharacteristic
1683C2#6295811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53132C2semidirect
2. #53125C2semidirect
3. #53123C2semidirect
4. #53109C2semidirect
5. #53035C2semidirect
6. #53020C2semidirect
7. #52998C2semidirect
8. #52983C2semidirect
9. #52491C2semidirect
10. #52473C2semidirect
11. #46113C2semidirect
12. #46105C2semidirect
13. #46039C2semidirect
14. #46014C2semidirect
15. #45998C2semidirect
16. #45971C2semidirect
17. #45715C2semidirect
18. #45654C2semidirect
19. #45595C2semidirect
20. #45485C2semidirect
21. #35566C2semidirect
22. #35558C2semidirect
23. #35557C2semidirect
25. #35529C2semidirect
26. #35515C2semidirect
27. #35286C2semidirect
29. #35257C2semidirect
31. #35167C2semidirect
32. #35160C2semidirect
33. #34947C2semidirect
34. #34815C2semidirect
35. C2×#2512C2semidirect
36. C2×#563C22semidirect
45. #2859C22semidirect
46. #2859C22semidirect
49. #2857C22semidirect
53. #2851C22semidirect
54. #2841C22semidirect
55. #2838C22semidirect
56. #2838C22semidirect
57. #2836C22semidirect
58. #2836C22semidirect
59. #2835C22semidirect
60. #2832C22semidirect
61. #2832C22semidirect
62. #2831C22semidirect
63. #2831C22semidirect
64. #2831C22semidirect
65. #2827C22semidirect
66. #2827C22semidirect
67. #2823C22semidirect
68. #2823C22semidirect
69. #2821C22semidirect
70. #2820C22semidirect
71. #2820C22semidirect
72. #2814C22semidirect
73. #2814C22semidirect
74. #2775C22semidirect
75. #2773C22semidirect
76. #2773C22semidirect
77. #2771C22semidirect
78. #2770C22semidirect
79. #2765C22semidirect
80. #2745C22semidirect
81. #2729C22semidirect
82. #2727C22semidirect
83. #2727C22semidirect
84. #2725C22semidirect
85. #2725C22semidirect
86. #2724C22semidirect
87. #2723C22semidirect
88. #2723C22semidirect
89. #2722C22semidirect
90. #2721C22semidirect
91. #2720C22semidirect
92. #2720C22semidirect
93. #2718C22semidirect
94. #2718C22semidirect
95. #2716C22semidirect
96. #2716C22semidirect
97. #2715C22semidirect
98. #2715C22semidirect
99. #2707C22semidirect
100. #2707C22semidirect
101. #2702C22semidirect
102. #2702C22semidirect
103. #2698C22semidirect
104. #2698C22semidirect
105. #2695C22semidirect
106. #2695C22semidirect
107. #2695C22semidirect
108. #2695C22semidirect
109. #2690C22semidirect
110. #2689C22semidirect
111. #2683C22semidirect
112. #2674C22semidirect
113. #2674C22semidirect
115. #2647C22semidirect
116. #2647C22semidirect
120. #2629C22semidirect
121. #2628C22semidirect
124. #2584C22semidirect
125. #2584C22semidirect
128. #2571C22semidirect
129. #2571C22semidirect
130. #2568C22semidirect
131. #2567C22semidirect
132. #2567C22semidirect
135. #2566C22semidirect
136. #2566C22semidirect
137. #2565C22semidirect
138. #2565C22semidirect
142. #2563C22semidirect
143. #2552C22semidirect
144. #2552C22semidirect
145. #2552C22semidirect
146. #2552C22semidirect
147. #2552C22semidirect
148. #2551C22semidirect
149. #2551C22semidirect
150. #2551C22semidirect
151. #2550C22semidirect
152. #2550C22semidirect
153. #2550C22semidirect
154. #2550C22semidirect
155. #2550C22semidirect
156. #2550C22semidirect
158. #2546C22semidirect
160. #2542C22semidirect
163. #2514C22semidirect
168. #2513C22semidirect
181. #2512C22semidirect
182. #2512C22semidirect
183. #2512C22semidirect
184. #2511C22semidirect
185. #2511C22semidirect
186. #2511C22semidirect
187. #2509C22semidirect
188. #2509C22semidirect
189. #2508C22semidirect
190. #2508C22semidirect
191. #2507C22semidirect
192. #2507C22semidirect
193. #2506C22semidirect
194. #2506C22semidirect
197. #2497C22semidirect
198. #2497C22semidirect
199. #2497C22semidirect
200. #2496C22semidirect
201. #2496C22semidirect
202. #2496C22semidirect
203. #2495C22semidirect
204. #2494C22semidirect
221. #2454C22semidirect
222. #2453C22semidirect
227. #2452C22semidirect
228. #2451C22semidirect
256. #2402C22semidirect
257. #2402C22semidirect
258. #2396C22semidirect
259. #2396C22semidirect
262. #2383C22semidirect
263. #2379C22semidirect
264. #2378C22semidirect
276. C4×#125C22semidirect
277. C4×#125C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
1602. C2×C4#563semidirect

Maximal subgroups

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

subgroupindex
#531322
#531252
#531232
#531092
#530352
#530202
#529982
#529832
#524912
#524732
#461132
#461052
#460392
#460142
#459982
#459712
#457152
#456542
#455952
#454852
#355662
#355582
#355572
#355412
#355292
#355152
#352862
#352642
#352572
#352542
#351672
#351602
#349472
#348152
C2×#25122