Finite Group Databasebeta

← #7632778

Subgroups — #7632778

Order 512.

5200 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36507C212yesmaximal, complemented
2#36452C212yesmaximal, complemented
3#36250C212yesmaximal, complemented
4#36245C214yesmaximal, complemented
5#36173C212yesmaximal, complemented
6#36169C214yesmaximal, complemented
7#36055C212yesmaximal, complemented
8#35900C212yesmaximal, complemented
9#35885C212yesmaximal, complemented
10#35875C212yesmaximal, complemented
11#35795C214yesmaximal, complemented
12#35794C214yesmaximal, complemented
13#35632C212yesmaximal, complemented
14#35632C212yesmaximal, complemented
15#35628C211yesmaximal, characteristic, complemented
16#35617C211yesmaximal, characteristic
17#35615C212yesmaximal, complemented
18#35561C212yesmaximal, complemented
19#35543C211yesmaximal, characteristic, complemented
20#35515C211yesmaximal, characteristic, complemented
21#35313C211yesmaximal, characteristic, complemented
22#35219C212yesmaximal, complemented
23#35206C212yesmaximal, complemented
24#35152C211yesmaximal, characteristic
25#34945C212yesmaximal, complemented
26#34918C212yesmaximal, complemented
27#34816C211yesmaximal, characteristic, complemented
28C2×#2447C211yesmaximal, characteristic, complemented
29#34276C211yesmaximal, characteristic, complemented
30#34275C211yesmaximal, characteristic
31#34254C211yesmaximal, characteristic, complemented
32#34253C211yesmaximal, characteristic, complemented
33#34211C211yesmaximal, characteristic, complemented
34#34145C211yesmaximal, characteristic, complemented
35C4×#518C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#124C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#519C2211yescharacteristic
42C2×#518C2211yescharacteristic
43C2×#518C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45#2863C2212yescomplemented
46#2863C2212yescomplemented
47#2855C2214yescomplemented
48#2853C2214yescomplemented
49#2852C2214yescomplemented
50#2851C2214yescomplemented
51#2849C2214yes—
52#2653C2214yescomplemented
53#2652C2214yescomplemented
54#2652C2214yescomplemented
55#2649C2214yescomplemented
56#2645C2212yescomplemented
57#2645C2212yescomplemented
58#2622C2214yes—
59#2597C2214yescomplemented
60#2595C2214yescomplemented
61#2592C2212yescomplemented
62#2592C2212yescomplemented
63#2580C2212yes—
64#2580C2212yes—
65#2578C2214yescomplemented
66#2578C2214yescomplemented
67#2577C2214yescomplemented
68#2577C2214yescomplemented
69#2576C2214yescomplemented
70#2576C2214yescomplemented
71#2575C2214yescomplemented
72#2575C2214yescomplemented
73#2573C2214yescomplemented
74#2573C2214yescomplemented
75#2572C2214yescomplemented
76#2571C2212yescomplemented
77#2570C2212yescomplemented
78#2570C2212yescomplemented
79#2568C2212yescomplemented
80#2568C2212yescomplemented
81#2560C2214yescomplemented
82#2558C2214yescomplemented
83#2553C2214yescomplemented
84#2552C2212yescomplemented
85#2547C2212yes—
86#2547C2212yes—
87#2544C2212yes—
88#2544C2212yes—
89#2538C2212yes—
90#2538C2212yes—
91#2531C2214yescomplemented
92#2530C2214yescomplemented
93#2530C2214yescomplemented
94#2527C2214yescomplemented
95#2527C2214yescomplemented
96#2526C2214yescomplemented
97#2523C2214yescomplemented
98#2523C2214yescomplemented
99#2518C2214yescomplemented
100#2518C2214yescomplemented
101#2517C2214yescomplemented
102#2517C2214yescomplemented
103#2516C2214yescomplemented
104#2515C2214yescomplemented
105#2515C2214yescomplemented
106#2514C2211yescharacteristic, complemented
107#2514C2211yescharacteristic, complemented
108#2514C2212yescomplemented
109#2514C2212yescomplemented
110#2513C2211yescharacteristic, complemented
111#2513C2211yescharacteristic, complemented
112#2512C2211yescharacteristic, complemented
113#2512C2211yescharacteristic, complemented
114#2511C2211yescharacteristic, complemented
115#2511C2211yescharacteristic, complemented
116#2511C2212yescomplemented
117#2511C2212yescomplemented
118#2510C2212yes—
119#2510C2212yes—
120#2510C2214yescomplemented
121#2509C2212yescomplemented
122#2508C2212yescomplemented
123#2507C2212yescomplemented
124#2506C2212yescomplemented
125#2505C2214yes—
126#2505C2214yescomplemented
127#2505C2214yescomplemented
128#2495C2214yescomplemented
129#2494C2214yescomplemented
130#2493C2214yes—
131#2493C2214yes—
132#2493C2214yescomplemented
133#2493C2214yescomplemented
134#2492C2212yescomplemented
135#2492C2212yescomplemented
136#2489C2212yescomplemented
137#2489C2212yescomplemented
138#2489C2214yescomplemented
139#2488C2214yes—
140#2488C2214yes—
141#2488C2214yescomplemented
142#2481C2212yes—
143#2481C2212yes—
144#2477C2214yescomplemented
145#2473C2214yes—
146#2470C2214yescomplemented
147#2466C2214yescomplemented
148#2460C2214yescomplemented
149#2458C2214yescomplemented
150#2454C2212yes—
151#2454C2212yes—
152#2452C2212yes—
153#2452C2212yes—
154#2450C2214yescomplemented
155#2447C2212yes—
156#2447C2212yes—
157#2447C2212yes—
158#2447C2212yes—
159#2447C2212yes—
160#2447C2212yes—
161#2447C2212yes—
162#2447C2212yes—
163#2447C2212yes—
164#2447C2212yes—
165#2445C2212yes—
166#2445C2212yes—
167#2437C2214yes—
168#2437C2214yes—
169#2427C2212yes—
170#2427C2212yes—
171#2427C2212yes—
172#2427C2212yes—
173#2422C2212yes—
174#2422C2212yes—
175#2421C2214yescomplemented
176#2420C2212yes—
177#2420C2212yes—
178#2419C2214yescomplemented
179#2412C2214yes—
180#2412C2214yes—
181#2401C2212yescomplemented
182#2401C2212yescomplemented
183#2401C2214yescomplemented
184#2401C2214yescomplemented
185#2398C2214yescomplemented
186#2395C2214yescomplemented
187C2×#397C2212yes—
188C2×#397C2212yes—
189#2370C2211yescharacteristic, complemented
190#2370C2211yescharacteristic, complemented
191#2370C2211yescharacteristic, complemented
192#2370C2211yescharacteristic, complemented
193#2369C2211yescharacteristic, complemented
194#2369C2211yescharacteristic, complemented
195#2368C2212yes—
196#2368C2212yes—
197#2367C2212yes—
198#2367C2212yes—
199#2367C2212yes—
200#2367C2212yes—
201#2365C2211yescharacteristic, complemented
202#2365C2211yescharacteristic, complemented
203#2363C2212yes—
204#2363C2212yes—
205#2362C2212yescomplemented
206#2362C2212yescomplemented
207#2361C2212yes—
208#2361C2212yes—
209#2360C2212yes—
210#2360C2212yes—
211#2360C2212yescomplemented
212#2360C2212yescomplemented
213#2359C2214yes—
214#2359C2214yes—
215#2358C2214yes—
216#2358C2214yes—
217#2356C2212yescomplemented
218#2356C2212yescomplemented
219#2355C2212yescomplemented
220#2355C2212yescomplemented
221#2353C2214yes—
222#2352C2214yes—
223#2347C2212yescomplemented
224#2346C2212yescomplemented
225#2345C2212yescomplemented
226#2344C2212yescomplemented
227#2343C2214yes—
228#2343C2214yes—
229#2342C2214yes—
230#2342C2214yes—
231#2328C2212yes—
232#2327C2212yescomplemented
233#2326C2212yes—
234#2326C2212yes—
235#2326C2212yes—
236#2326C2212yescomplemented
237#2320C2212yescomplemented
238#2320C2212yescomplemented
239#2320C2212yescomplemented
240#2319C2212yescomplemented
241#2317C2211yescharacteristic
242#2317C2211yescharacteristic
243#2317C2211yescharacteristic
244#2316C2211yescharacteristic
245#2311C2211yescharacteristic
246#2310C2211yescharacteristic
247#2310C2211yescharacteristic
248#2309C2211yescharacteristic
249C4×C4⋊Q8C2212yescomplemented
250C4×#127C2212yes—
251C4×#126C2212yescomplemented
252C4×#126C2212yescomplemented
253C4×#124C2212yes—
254C4×#124C2212yes—
255C4×#124C2212yes—
256C4×#124C2212yescomplemented
257C4×C22⋊Q8C2214yescomplemented
258C4×#123C2214yescomplemented
259#2297C2211yescharacteristic
260#2297C2211yescharacteristic
261#2297C2211yescharacteristic
262#2296C2211yescharacteristic
263#2296C2211yescharacteristic
264#2296C2211yescharacteristic
265#2295C2212yescomplemented
266#2295C2212yescomplemented
267#2295C2212yescomplemented
268#2295C2212yescomplemented
269#2295C2212yescomplemented
270#2295C2212yescomplemented
271C2×#391C2211yescharacteristic
272C2×#391C2211yescharacteristic
273#2293C2212yescomplemented
274C2×#390C2211yescharacteristic
275C2×#389C2211yescharacteristic
276#2290C2214yescomplemented
277C2×#385C2212yes—
278#2285C2211yescharacteristic
279#2283C2214yescomplemented
280C2×#381C2212yes—
281#2275C2212yes—
282#2275C2212yes—
283#2275C2212yes—
284#2275C2212yes—
285#2274C2211yescharacteristic
286#2274C2211yescharacteristic
287#2273C2214yes—
288C42×Q8C2212yescomplemented
289C42×D4C2212yes—
290C42×D4C2212yes—
291C42×D4C2212yes—
292C42×D4C2212yes—
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2214yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#536—28no—
304#535—28no—
305#533—28no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×#127C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2311yescharacteristic
314C2×#125C2314yes—
315C2×#124—28no—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#120C2314yes—
334#520—28no—
335#519—28no—
336#518—28no—
337#518—28no—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×D4—28no—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2314yes—
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2314yes—
370C2×#117C2312yes—
371C2×#117C2314yes—
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C22⋊C4C2314yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2314yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2314yes—
391C22×C42C2314yes—
392#401C2314yes—
393#401C2314yes—
394#401C2312yes—
395#401C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2312yes—
414#400C2312yes—
415#400C2312yes—
416#399C2314yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2312yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#391C2312yes—
465#391C2311yescharacteristic
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2311yescharacteristic
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2314yes—
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2311yescharacteristic
495#390C2314yes—
496#390C2311yescharacteristic
497#390C2312yes—
498#390C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2312yes—
633#386C2314yes—
634#386C2312yes—
635#386C2312yes—
636#386C2312yes—
637#386C2312yes—
638#386C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2314yes—
666#384C2312yes—
667#384C2312yes—
668#384C2311yescharacteristic
669#384C2312yes—
670#384C2311yescharacteristic
671#383C2312yes—
672#383C2312yes—
673#383C2314yes—
674#383C2314yes—
675#383C2314yes—
676#383C2314yes—
677#383C2314yes—
678#382C2314yes—
679#382C2314yes—
680#382C2312yes—
681#382C2311yescharacteristic
682#382C2312yes—
683#382C2311yescharacteristic
684#382C2314yes—
685#382C2312yes—
686#382C2314yes—
687#382C2314yes—
688#382C2314yes—
689#381C2314yes—
690#381C2314yes—
691#381C2314yes—
692#381C2314yes—
693#381C2314yes—
694#381C2314yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#380C2312yes—
699#380C2312yes—
700#380C2314yes—
701#380C2314yes—
702#380C2314yes—
703#380C2314yes—
704#380C2314yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#379C2314yes—
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2312yes—
765C4×C22⋊C4C2312yes—
766C4×C22⋊C4C2312yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799#376C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2314yes—
803#376C2314yes—
804#376C2314yes—
805#376C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2311yescharacteristic
812C2×#95C2311yescharacteristic
813C2×#95C2314yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2312yes—
817C43C2312yes—
818C43C2312yes—
819C25C2412yes—
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×D4—24no—
832C22×D4—24no—
833C22×D4#4118yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C23×C4—28no—
841C23×C4—44no—
842C23×C4—82no—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2411yescharacteristic
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—28no—
864#127—28no—
865#126—44no—
866#126—44no—
867#125—24no—
868#125—24no—
869#125—84no—
870#124—28no—
871#124—28no—
872#124—28no—
873#124—28no—
874#124—28no—
875#124—28no—
876#123—216no—
877#123—48no—
878#123—84no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—48no—
884C22⋊Q8—84no—
885#121—28no—
886#121—28no—
887#120—216no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—28no—
894C4×Q8—28no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—216no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—48no—
912C4×D4—84no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—24no—
917#117—24no—
918#117—28no—
919#117—216no—
920#117—84no—
921#117#4118yes—
922#117#4118yes—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—28no—
926C2×C4⋊C4—42no—
927C2×C4⋊C4—42no—
928C2×C4⋊C4—82no—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C22⋊C4—28no—
993C2×C22⋊C4—28no—
994C2×C22⋊C4—28no—
995C2×C22⋊C4—216no—
996C2×C22⋊C4—216no—
997C2×C22⋊C4—44no—
998C2×C22⋊C4—82no—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C42—24no—
1044C2×C42—24no—
1045C2×C42—24no—
1046C2×C42—48no—
1047C2×C42—84no—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
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#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174C24—24no—
1175C24—24no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24—42no—
1180C24C2×#4118yes—
1181C24C2512yes—
1182C24C2514yes—
1183C24C2511yescharacteristic
1184#41—416no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—22no—
1195C2×Q8—24no—
1196C2×Q8—24no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—416no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—28no—
1205C2×D4—28no—
1206C2×D4—232no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4C2×#4118yes—
1219C2×D4C2×#4118yes—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—28no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—28no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—28no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—28no—
1240C22×C4—28no—
1241C22×C4—28no—
1242C22×C4—28no—
1243C22×C4—28no—
1244C22×C4—44no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—816no—
1272C22×C4C2×#4114yes—
1273C22×C4C2×#4114yes—
1274C22×C4C2×#4114yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2514yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2514yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—28no—
1319C4⋊C4—28no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4C2×#4114yes—
1367C4⋊C4C2×#4114yes—
1368C4⋊C4C2×#4114yes—
1369C4⋊C4C2×#4114yes—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4C2×#4118yes—
1413C22⋊C4C2×#4118yes—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—24no—
1427C42—24no—
1428C42—28no—
1429C42—24no—
1430C42—28no—
1431C42—28no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—44no—
1438C42—44no—
1439C42—42no—
1440C42—42no—
1441C42—44no—
1442C42—44no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—42no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—42no—
1454C42C2×#4118yes—
1455C42C2×#4118yes—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—24no—
1461C23—24no—
1462C23—24no—
1463C23—24no—
1464C23—24no—
1465C23—24no—
1466C23—216no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—48no—
1475C23—48no—
1476C23—84no—
1477C23—84no—
1478C23—84no—
1479C23—84no—
1480C23C22×#4118yes—
1481C23C22×#4112yes—
1482C23C22×#4112yes—
1483C23C22×#4112yes—
1484C23C2611yescharacteristic
1485Q8—48no—
1486Q8—48no—
1487Q8—48no—
1488Q8—44no—
1489Q8—84no—
1490D4—216no—
1491D4—216no—
1492D4—48no—
1493D4—44no—
1494D4—88no—
1495D4—88no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—24no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—24no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—44no—
1581C2×C4—416no—
1582C2×C4—44no—
1583C2×C4—48no—
1584C2×C4—48no—
1585C2×C4—88no—
1586C2×C4—88no—
1587C2×C4—88no—
1588C2×C4—88no—
1589C2×C4—88no—
1590C2×C4—82no—
1591C2×C4—82no—
1592C2×C4—82no—
1593C2×C4—84no—
1594C2×C4—82no—
1595C2×C4—84no—
1596C2×C4—88no—
1597C2×C4#529116yes—
1598C2×C4C22×#4114yes—
1599C2×C4C22×#4114yes—
1600C2×C4C22×#4114yes—
1601C2×C4C22×#4114yes—
1602C2×C4C22×#4112yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4112yes—
1608C2×C4#58512yes—
1609C2×C4#58512yes—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—28no—
1617C22—28no—
1618C22—28no—
1619C22—44no—
1620C22—44no—
1621C22—44no—
1622C22—44no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—816no—
1631C22C2×#52914yes—
1632C22C23×#4111yescharacteristic
1633C22C23×#4111yescharacteristic
1634C22C23×#4111yescharacteristic
1635C22C2×#58511yescharacteristic
1636C22C2×#58511yescharacteristic
1637C22H(7,𝔽2)11yescharacteristic
1638C222−1+611yescharacteristic
1639C4—22no—
1640C4—24no—
1641C4—24no—
1642C4—22no—
1643C4—24no—
1644C4—24no—
1645C4—44no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—42no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—44no—
1660C4—41no—
1661C4—42no—
1662C4—42no—
1663C4—41no—
1664C4—42no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—44no—
1669C4C2×#52914yes—
1670C4C2×#52914yes—
1671C2—24no—
1672C2—48no—
1673C2—82no—
1674C2C22×#52911yescharacteristic
1675C2#6281011yescharacteristic
1676C2#6285711yescharacteristic
1677C2#6299011yescharacteristic
1678C2#6299111yescharacteristic
1679C2#6299511yescharacteristic
1680C2#6301011yescharacteristic
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. #36507C2semidirect
2. #36452C2semidirect
3. #36250C2semidirect
4. #36245C2semidirect
5. #36173C2semidirect
6. #36169C2semidirect
7. #36055C2semidirect
8. #35900C2semidirect
9. #35885C2semidirect
10. #35875C2semidirect
11. #35795C2semidirect
12. #35794C2semidirect
13. #35632C2semidirect
14. #35632C2semidirect
15. #35628C2semidirect
17. #35615C2semidirect
18. #35561C2semidirect
19. #35543C2semidirect
20. #35515C2semidirect
21. #35313C2semidirect
22. #35219C2semidirect
23. #35206C2semidirect
25. #34945C2semidirect
26. #34918C2semidirect
27. #34816C2semidirect
28. C2×#2447C2semidirect
29. #34276C2semidirect
31. #34254C2semidirect
32. #34253C2semidirect
33. #34211C2semidirect
34. #34145C2semidirect
35. C4×#518C2semidirect
45. #2863C22semidirect
46. #2863C22semidirect
47. #2855C22semidirect
48. #2853C22semidirect
49. #2852C22semidirect
50. #2851C22semidirect
52. #2653C22semidirect
53. #2652C22semidirect
54. #2652C22semidirect
55. #2649C22semidirect
56. #2645C22semidirect
57. #2645C22semidirect
59. #2597C22semidirect
60. #2595C22semidirect
61. #2592C22semidirect
62. #2592C22semidirect
65. #2578C22semidirect
66. #2578C22semidirect
67. #2577C22semidirect
68. #2577C22semidirect
69. #2576C22semidirect
70. #2576C22semidirect
71. #2575C22semidirect
72. #2575C22semidirect
73. #2573C22semidirect
74. #2573C22semidirect
75. #2572C22semidirect
76. #2571C22semidirect
77. #2570C22semidirect
78. #2570C22semidirect
79. #2568C22semidirect
80. #2568C22semidirect
81. #2560C22semidirect
82. #2558C22semidirect
83. #2553C22semidirect
84. #2552C22semidirect
91. #2531C22semidirect
92. #2530C22semidirect
93. #2530C22semidirect
94. #2527C22semidirect
95. #2527C22semidirect
96. #2526C22semidirect
97. #2523C22semidirect
98. #2523C22semidirect
99. #2518C22semidirect
100. #2518C22semidirect
101. #2517C22semidirect
102. #2517C22semidirect
103. #2516C22semidirect
104. #2515C22semidirect
105. #2515C22semidirect
106. #2514C22semidirect
107. #2514C22semidirect
108. #2514C22semidirect
109. #2514C22semidirect
110. #2513C22semidirect
111. #2513C22semidirect
112. #2512C22semidirect
113. #2512C22semidirect
114. #2511C22semidirect
115. #2511C22semidirect
116. #2511C22semidirect
117. #2511C22semidirect
120. #2510C22semidirect
121. #2509C22semidirect
122. #2508C22semidirect
123. #2507C22semidirect
124. #2506C22semidirect
126. #2505C22semidirect
127. #2505C22semidirect
128. #2495C22semidirect
129. #2494C22semidirect
132. #2493C22semidirect
133. #2493C22semidirect
134. #2492C22semidirect
135. #2492C22semidirect
136. #2489C22semidirect
137. #2489C22semidirect
138. #2489C22semidirect
141. #2488C22semidirect
144. #2477C22semidirect
146. #2470C22semidirect
147. #2466C22semidirect
148. #2460C22semidirect
149. #2458C22semidirect
154. #2450C22semidirect
175. #2421C22semidirect
178. #2419C22semidirect
181. #2401C22semidirect
182. #2401C22semidirect
183. #2401C22semidirect
184. #2401C22semidirect
185. #2398C22semidirect
186. #2395C22semidirect
189. #2370C22semidirect
190. #2370C22semidirect
191. #2370C22semidirect
192. #2370C22semidirect
193. #2369C22semidirect
194. #2369C22semidirect
201. #2365C22semidirect
202. #2365C22semidirect
205. #2362C22semidirect
206. #2362C22semidirect
211. #2360C22semidirect
212. #2360C22semidirect
217. #2356C22semidirect
218. #2356C22semidirect
219. #2355C22semidirect
220. #2355C22semidirect
223. #2347C22semidirect
224. #2346C22semidirect
225. #2345C22semidirect
226. #2344C22semidirect
232. #2327C22semidirect
236. #2326C22semidirect
237. #2320C22semidirect
238. #2320C22semidirect
239. #2320C22semidirect
240. #2319C22semidirect
249. C4×C4⋊Q8C22semidirect
251. C4×#126C22semidirect
252. C4×#126C22semidirect
256. C4×#124C22semidirect
257. C4×C22⋊Q8C22semidirect
258. C4×#123C22semidirect
265. #2295C22semidirect
266. #2295C22semidirect
267. #2295C22semidirect
268. #2295C22semidirect
269. #2295C22semidirect
270. #2295C22semidirect
273. #2293C22semidirect
276. #2290C22semidirect
279. #2283C22semidirect
288. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#365072
#364522
#362502
#362452
#361732
#361692
#360552
#359002
#358852
#358752
#357952
#357942
#356322
#356282
#356172
#356152
#355612
#355432
#355152
#353132
#352192
#352062
#351522
#349452
#349182
#348162
C2×#24472
#342762
#342752
#342542
#342532
#342112
#341452
C4×#5182