Finite Group Databasebeta

← #7650694

Subgroups — #7650694

Order 512.

4643 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42777C212yesmaximal, complemented
2#42707C212yesmaximal, complemented
3#42672C212yesmaximal, complemented
4#42665C212yesmaximal, complemented
5#42659C212yesmaximal, complemented
6#42628C212yesmaximal, complemented
7#42534C212yesmaximal, complemented
8#42459C212yesmaximal, complemented
9#41471C214yesmaximal, complemented
10#40756C214yesmaximal, complemented
11#40216C212yesmaximal, complemented
12#40192C212yesmaximal, complemented
13#39930C212yesmaximal, complemented
14#39925C212yesmaximal, complemented
15#39478C212yesmaximal, complemented
16#39022C212yesmaximal, complemented
17#38999C212yesmaximal, complemented
18#38933C212yesmaximal, complemented
19#38166C214yesmaximal, complemented
20#37907C214yesmaximal, complemented
21#35672C211yesmaximal, characteristic, complemented
22#35668C211yesmaximal, characteristic, complemented
23#35640C211yesmaximal, characteristic, complemented
24#35630C211yesmaximal, characteristic, complemented
25#35628C211yesmaximal, characteristic, complemented
26#35542C211yesmaximal, characteristic
27#35333C211yesmaximal, characteristic, complemented
28#35306C211yesmaximal, characteristic
29#35160C211yesmaximal, characteristic, complemented
30C2×#2489C211yesmaximal, characteristic, complemented
31#34742C211yesmaximal, characteristic
32#34739C211yesmaximal, characteristic, complemented
33#34268C211yesmaximal, characteristic, complemented
34#34213C211yesmaximal, characteristic, complemented
35#34180C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C2×#519C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2857C2212yes—
46#2852C2214yes—
47#2851C2212yescomplemented
48#2851C2212yescomplemented
49#2850C2212yes—
50#2839C2214yescomplemented
51#2838C2214yes—
52#2837C2214yes—
53#2831C2214yescomplemented
54#2800C2214yes—
55#2799C2214yescomplemented
56#2798C2214yes—
57#2795C2214yes—
58#2793C2214yescomplemented
59#2790C2214yescomplemented
60#2775C2214yescomplemented
61#2773C2214yes—
62#2772C2214yescomplemented
63#2772C2214yescomplemented
64#2767C2214yescomplemented
65#2767C2214yescomplemented
66#2767C2214yescomplemented
67#2766C2214yescomplemented
68#2766C2214yescomplemented
69#2765C2214yescomplemented
70#2764C2214yescomplemented
71#2763C2214yescomplemented
72#2762C2214yescomplemented
73#2759C2214yes—
74#2757C2214yes—
75#2755C2214yescomplemented
76#2754C2214yes—
77#2747C2214yes—
78#2747C2214yes—
79#2746C2214yes—
80#2738C2214yes—
81#2738C2214yes—
82#2718C2214yes—
83#2717C2214yes—
84#2702C2214yes—
85#2700C2214yes—
86#2666C2214yescomplemented
87#2655C2214yescomplemented
88#2654C2214yes—
89#2653C2214yes—
90#2652C2214yescomplemented
91#2651C2214yes—
92#2650C2214yes—
93#2650C2214yescomplemented
94#2649C2214yes—
95#2647C2214yescomplemented
96#2643C2214yes—
97#2637C2214yescomplemented
98#2629C2212yescomplemented
99#2629C2212yescomplemented
100#2625C2214yes—
101#2621C2212yes—
102#2620C2212yes—
103#2592C2212yescomplemented
104#2592C2212yescomplemented
105#2583C2214yes—
106#2579C2214yes—
107#2579C2214yes—
108#2568C2212yescomplemented
109#2568C2212yescomplemented
110#2568C2212yescomplemented
111#2567C2212yescomplemented
112#2566C2212yescomplemented
113#2566C2212yescomplemented
114#2565C2212yescomplemented
115#2565C2212yescomplemented
116#2565C2212yescomplemented
117#2565C2212yescomplemented
118#2563C2212yes—
119#2562C2212yes—
120#2562C2212yes—
121#2552C2212yescomplemented
122#2552C2212yescomplemented
123#2552C2212yescomplemented
124#2552C2212yescomplemented
125#2550C2212yescomplemented
126#2550C2212yescomplemented
127#2550C2212yescomplemented
128#2550C2212yescomplemented
129#2547C2212yes—
130#2529C2214yescomplemented
131#2527C2214yescomplemented
132#2525C2214yes—
133#2520C2214yescomplemented
134#2515C2214yescomplemented
135#2514C2212yescomplemented
136#2514C2212yescomplemented
137#2514C2212yescomplemented
138#2514C2212yescomplemented
139#2514C2212yescomplemented
140#2513C2212yescomplemented
141#2512C2212yescomplemented
142#2511C2214yescomplemented
143#2511C2212yescomplemented
144#2511C2212yescomplemented
145#2511C2212yescomplemented
146#2511C2212yescomplemented
147#2511C2212yescomplemented
148#2508C2214yescomplemented
149#2502C2214yes—
150#2497C2212yescomplemented
151#2496C2212yescomplemented
152#2495C2212yescomplemented
153#2494C2214yes—
154#2494C2212yescomplemented
155#2493C2214yes—
156#2493C2214yes—
157#2492C2212yes—
158#2492C2212yescomplemented
159#2492C2212yescomplemented
160#2491C2212yes—
161#2490C2212yes—
162#2489C2212yes—
163#2489C2212yes—
164#2489C2212yes—
165#2489C2212yes—
166#2489C2212yes—
167#2489C2212yes—
168#2489C2212yes—
169#2489C2212yes—
170#2489C2212yes—
171#2489C2212yescomplemented
172#2489C2212yescomplemented
173#2488C2214yes—
174#2488C2214yes—
175#2488C2214yes—
176#2484C2214yes—
177#2482C2214yes—
178#2474C2214yes—
179#2472C2214yes—
180#2470C2214yes—
181#2458C2214yes—
182#2453C2212yescomplemented
183#2453C2212yescomplemented
184#2451C2212yescomplemented
185#2451C2212yescomplemented
186#2442C2211yescharacteristic
187#2442C2211yescharacteristic
188#2441C2211yescharacteristic
189#2441C2211yescharacteristic
190#2440C2211yescharacteristic
191#2440C2211yescharacteristic
192#2439C2211yescharacteristic
193#2439C2211yescharacteristic
194#2438C2212yes—
195#2438C2214yes—
196#2438C2214yes—
197#2438C2212yes—
198#2437C2212yes—
199#2437C2212yes—
200#2423C2211yescharacteristic
201#2423C2214yes—
202#2423C2212yes—
203#2423C2212yes—
204#2423C2212yes—
205#2423C2212yes—
206#2423C2211yescharacteristic
207#2422C2211yescharacteristic
208#2422C2211yescharacteristic
209#2421C2212yes—
210#2421C2211yescharacteristic
211#2421C2212yes—
212#2421C2212yes—
213#2421C2212yes—
214#2421C2211yescharacteristic
215#2420C2211yescharacteristic
216#2420C2211yescharacteristic
217#2419C2212yes—
218#2419C2212yes—
219#2418C2212yes—
220#2418C2212yes—
221#2417C2212yes—
222#2417C2212yes—
223#2415C2212yes—
224#2415C2212yes—
225#2413C2214yes—
226#2412C2214yes—
227#2396C2212yes—
228#2396C2212yes—
229#2395C2212yes—
230#2395C2212yes—
231C2×#400C2212yes—
232C2×#397C2212yes—
233#2370C2212yescomplemented
234#2370C2212yescomplemented
235#2369C2212yescomplemented
236#2367C2212yescomplemented
237#2367C2212yescomplemented
238#2365C2212yescomplemented
239#2365C2212yescomplemented
240#2365C2212yescomplemented
241#2359C2214yes—
242#2359C2214yes—
243#2355C2212yescomplemented
244#2355C2212yescomplemented
245#2355C2212yescomplemented
246Q8×C4⋊C4C2212yescomplemented
247#2347C2212yes—
248#2346C2212yes—
249#2345C2212yes—
250#2344C2212yes—
251#2343C2214yes—
252#2342C2214yes—
253#2337C2214yes—
254#2334C2214yescomplemented
255#2329C2214yes—
256#2323C2212yescomplemented
257#2323C2212yescomplemented
258#2320C2214yescomplemented
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2314C2214yes—
265#2314C2212yes—
266#2314C2212yes—
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2310C2211yescharacteristic
271#2310C2211yescharacteristic
272C4×C22⋊Q8C2214yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yescomplemented
276C4×C22⋊Q8C2212yescomplemented
277C4×#123C2212yes—
278C4×#123C2212yes—
279#2297C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283C2×#391C2211yescharacteristic
284C2×#391C2211yescharacteristic
285C2×#388C2212yes—
286#2285C2211yescharacteristic
287#2285C2212yes—
288#2285C2211yescharacteristic
289#2283C2212yes—
290C2×#382C2212yes—
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#544—44no—
303#536—28no—
304#533—28no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#126C2314yes—
311C2×#125—44no—
312C2×#125C2311yescharacteristic
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322#525—44no—
323C2×#123C2314yes—
324C2×#123C2312yes—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×C22⋊Q8—44no—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#120C2312yes—
344#519—44no—
345C4×#41—44no—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×#117—28no—
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2314yes—
373C2×#117C2312yes—
374C2×#117C2314yes—
375C2×#117C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2311yescharacteristic
389C22×C42C2312yes—
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393C22×C42C2312yes—
394#401C2314yes—
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#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#400C2314yes—
424#399C2312yes—
425#399C2314yes—
426#399C2312yes—
427#399C2314yes—
428#399C2312yes—
429#399C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2314yes—
453#398C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2312yes—
484#396C2312yes—
485#396C2312yes—
486#395C2314yes—
487#395C2314yes—
488#395C2312yes—
489#395C2314yes—
490#395C2314yes—
491#395C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2312yes—
505#393C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2314yes—
525#391C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2314yes—
529#391C2314yes—
530#391C2314yes—
531#391C2312yes—
532#391C2312yes—
533#391C2314yes—
534#391C2314yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#384C2312yes—
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2312yes—
695#384C2314yes—
696#384C2312yes—
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2314yes—
701#383C2314yes—
702#383C2314yes—
703#383C2314yes—
704#383C2314yes—
705#382C2314yes—
706#382C2312yes—
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2311yescharacteristic
710#382C2314yes—
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2311yescharacteristic
717#382C2311yescharacteristic
718#382C2314yes—
719#382C2314yes—
720#382C2314yes—
721#382C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2312yes—
726#381C2312yes—
727#381C2312yes—
728#381C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2312yes—
756#379C2312yes—
757#379C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
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⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2311yescharacteristic
818C2×#95C2312yes—
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8—24no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2414yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C23×C4—24no—
837C23×C4—24no—
838C23×C4—24no—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860C4⋊Q8—28no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863#126—48no—
864#125—24no—
865#125—24no—
866#125—44no—
867#125—44no—
868#125—44no—
869#125—44no—
870#125—44no—
871#125—44no—
872#124—28no—
873#124—48no—
874#123—216no—
875#123—44no—
876#123—44no—
877#123—44no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—44no—
883C22⋊Q8—48no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—42no—
890C22⋊Q8—42no—
891#121—42no—
892#121—42no—
893#120—44no—
894C4×Q8—28no—
895C4×Q8—28no—
896C4×Q8—48no—
897C4×Q8—42no—
898C4×Q8—42no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×D4—42no—
904C4×D4—42no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909#117—24no—
910#117—24no—
911#117—24no—
912#117—24no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—24no—
917#117—28no—
918#117—28no—
919#117—44no—
920#117—48no—
921#117—48no—
922#117#4118yes—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—24no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—24no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C22⋊C4—28no—
1007C2×C22⋊C4—42no—
1008C2×C22⋊C4—44no—
1009C2×C22⋊C4—42no—
1010C2×C22⋊C4—44no—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C42—24no—
1059C2×C42—24no—
1060C2×C42—28no—
1061C2×C42—44no—
1062C2×C42—44no—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2414yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092#95C2414yes—
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
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—
1174C24—22no—
1175C24—22no—
1176C24—22no—
1177C24—22no—
1178C24—41no—
1179C24—41no—
1180C24—41no—
1181C24C2511yescharacteristic
1182C24C2512yes—
1183C24C2511yescharacteristic
1184C24C2511yescharacteristic
1185#41—416no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—24no—
1195C2×Q8—24no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—416no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—41no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—416no—
1272C22×C4C2×#4114yes—
1273C22×C4H(5,𝔽2)14yes—
1274C22×C42−1+414yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2514yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2514yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—28no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4C2×#4114yes—
1380C4⋊C4C2×#4114yes—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—24no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—44no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
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—44no—
1427C22⋊C4C2×#4118yes—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—24no—
1444C42—28no—
1445C42—44no—
1446C42—42no—
1447C42—42no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—44no—
1456C42C2×#4118yes—
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—22no—
1473C23—22no—
1474C23—21no—
1475C23—21no—
1476C23—22no—
1477C23—21no—
1478C23—22no—
1479C23—22no—
1480C23—21no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—82no—
1486C23—82no—
1487C23—82no—
1488C23C22×#4112yes—
1489C23C2×H(5,𝔽2)12yes—
1490C23C2×2−1+412yes—
1491C23#58512yes—
1492C23C2611yescharacteristic
1493Q8—48no—
1494Q8—48no—
1495Q8—48no—
1496Q8—44no—
1497Q8—84no—
1498Q8—164no—
1499D4—48no—
1500D4—44no—
1501D4—84no—
1502D4—84no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—21no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—48no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—44no—
1591C2×C4—48no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—48no—
1597C2×C4—84no—
1598C2×C4—82no—
1599C2×C4—84no—
1600C2×C4—82no—
1601C2×C4—82no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4#542116yes—
1606C2×C4C22×#4114yes—
1607C2×C4C22×#4114yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×H(5,𝔽2)12yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4C2×2−1+412yes—
1614C2×C4#58512yes—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—42no—
1629C22—42no—
1630C22—41no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—42no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22—41no—
1639C22—42no—
1640C22—42no—
1641C22—41no—
1642C22—88no—
1643C22C2×#54214yes—
1644C22C23×#4111yescharacteristic
1645C22C22×H(5,𝔽2)11yescharacteristic
1646C22C22×2−1+411yescharacteristic
1647C22C2×#58511yescharacteristic
1648C22C2×#58511yescharacteristic
1649C222−1+611yescharacteristic
1650C222−1+611yescharacteristic
1651C4—24no—
1652C4—22no—
1653C4—24no—
1654C4—41no—
1655C4—42no—
1656C4—42no—
1657C4—41no—
1658C4—41no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—44no—
1663C4—42no—
1664C4—42no—
1665C4—44no—
1666C4—41no—
1667C4—42no—
1668C4—41no—
1669C4—42no—
1670C4—41no—
1671C4—41no—
1672C4—42no—
1673C4—44no—
1674C4—41no—
1675C4—42no—
1676C4—41no—
1677C4—44no—
1678C4—42no—
1679C4—42no—
1680C4C2×#54214yes—
1681C4C2×#54214yes—
1682C2—24no—
1683C2—42no—
1684C2—82no—
1685C2—81no—
1686C2C22×#54211yescharacteristic
1687C2#6283111yescharacteristic
1688C2#6288911yescharacteristic
1689C2#6292511yescharacteristic
1690C2#6295411yescharacteristic
1691C2#6299311yescharacteristic
1692C2#6299311yescharacteristic
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. #42777C2semidirect
2. #42707C2semidirect
3. #42672C2semidirect
4. #42665C2semidirect
5. #42659C2semidirect
6. #42628C2semidirect
7. #42534C2semidirect
8. #42459C2semidirect
9. #41471C2semidirect
10. #40756C2semidirect
11. #40216C2semidirect
12. #40192C2semidirect
13. #39930C2semidirect
14. #39925C2semidirect
15. #39478C2semidirect
16. #39022C2semidirect
17. #38999C2semidirect
18. #38933C2semidirect
19. #38166C2semidirect
20. #37907C2semidirect
21. #35672C2semidirect
22. #35668C2semidirect
23. #35640C2semidirect
24. #35630C2semidirect
25. #35628C2semidirect
27. #35333C2semidirect
29. #35160C2semidirect
30. C2×#2489C2semidirect
32. #34739C2semidirect
33. #34268C2semidirect
34. #34213C2semidirect
35. #34180C2semidirect
47. #2851C22semidirect
48. #2851C22semidirect
50. #2839C22semidirect
53. #2831C22semidirect
55. #2799C22semidirect
58. #2793C22semidirect
59. #2790C22semidirect
60. #2775C22semidirect
62. #2772C22semidirect
63. #2772C22semidirect
64. #2767C22semidirect
65. #2767C22semidirect
66. #2767C22semidirect
67. #2766C22semidirect
68. #2766C22semidirect
69. #2765C22semidirect
70. #2764C22semidirect
71. #2763C22semidirect
72. #2762C22semidirect
75. #2755C22semidirect
86. #2666C22semidirect
87. #2655C22semidirect
90. #2652C22semidirect
93. #2650C22semidirect
95. #2647C22semidirect
97. #2637C22semidirect
98. #2629C22semidirect
99. #2629C22semidirect
103. #2592C22semidirect
104. #2592C22semidirect
108. #2568C22semidirect
109. #2568C22semidirect
110. #2568C22semidirect
111. #2567C22semidirect
112. #2566C22semidirect
113. #2566C22semidirect
114. #2565C22semidirect
115. #2565C22semidirect
116. #2565C22semidirect
117. #2565C22semidirect
121. #2552C22semidirect
122. #2552C22semidirect
123. #2552C22semidirect
124. #2552C22semidirect
125. #2550C22semidirect
126. #2550C22semidirect
127. #2550C22semidirect
128. #2550C22semidirect
130. #2529C22semidirect
131. #2527C22semidirect
133. #2520C22semidirect
134. #2515C22semidirect
135. #2514C22semidirect
136. #2514C22semidirect
137. #2514C22semidirect
138. #2514C22semidirect
139. #2514C22semidirect
140. #2513C22semidirect
141. #2512C22semidirect
142. #2511C22semidirect
143. #2511C22semidirect
144. #2511C22semidirect
145. #2511C22semidirect
146. #2511C22semidirect
147. #2511C22semidirect
148. #2508C22semidirect
150. #2497C22semidirect
151. #2496C22semidirect
152. #2495C22semidirect
154. #2494C22semidirect
158. #2492C22semidirect
159. #2492C22semidirect
171. #2489C22semidirect
172. #2489C22semidirect
182. #2453C22semidirect
183. #2453C22semidirect
184. #2451C22semidirect
185. #2451C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
235. #2369C22semidirect
236. #2367C22semidirect
237. #2367C22semidirect
238. #2365C22semidirect
239. #2365C22semidirect
240. #2365C22semidirect
243. #2355C22semidirect
244. #2355C22semidirect
245. #2355C22semidirect
246. Q8×C4⋊C4C22semidirect
254. #2334C22semidirect
256. #2323C22semidirect
257. #2323C22semidirect
258. #2320C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#427772
#427072
#426722
#426652
#426592
#426282
#425342
#424592
#414712
#407562
#402162
#401922
#399302
#399252
#394782
#390222
#389992
#389332
#381662
#379072
#356722
#356682
#356402
#356302
#356282
#355422
#353332
#353062
#351602
C2×#24892
#347422
#347392
#342682
#342132
#341802