Finite Group Databasebeta

← #7632810

Subgroups — #7632810

Order 512.

5227 conjugacy classes of subgroups.

The subgroup lattice has 1754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36551C212yesmaximal, complemented
2#36486C212yesmaximal, complemented
3#36417C212yesmaximal, complemented
4#36322C214yesmaximal, complemented
5#36315C212yesmaximal, complemented
6#36309C214yesmaximal, complemented
7#36026C212yesmaximal, complemented
8#35915C214yesmaximal, complemented
9#35889C214yesmaximal, complemented
10#35828C212yesmaximal, complemented
11#35774C212yesmaximal, complemented
12#35699C212yesmaximal, complemented
13#35650C212yesmaximal, complemented
14#35587C212yesmaximal, complemented
15#35560C212yesmaximal, complemented
16#35555C211yesmaximal, characteristic, complemented
17#35547C212yesmaximal, complemented
18#35542C211yesmaximal, characteristic, complemented
19#35517C211yesmaximal, characteristic, complemented
20#35516C211yesmaximal, characteristic, complemented
21#35257C211yesmaximal, characteristic, complemented
22#35203C212yesmaximal, complemented
23#35194C212yesmaximal, complemented
24#35160C211yesmaximal, characteristic, complemented
25#34970C212yesmaximal, complemented
26#34916C212yesmaximal, complemented
27C2×#2497C211yesmaximal, characteristic, complemented
28#34743C211yesmaximal, characteristic
29#34272C211yesmaximal, characteristic, complemented
30#34253C211yesmaximal, characteristic, complemented
31#34207C211yesmaximal, characteristic, complemented
32#34202C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic, complemented
34#34109C211yesmaximal, characteristic, complemented
35C4×#520C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#532C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2865C2214yescomplemented
46#2861C2214yes—
47#2857C2212yescomplemented
48#2853C2214yes—
49#2852C2214yes—
50#2851C2212yescomplemented
51#2851C2214yescomplemented
52#2652C2214yescomplemented
53#2651C2214yes—
54#2650C2214yescomplemented
55#2649C2214yes—
56#2643C2214yes—
57#2629C2212yescomplemented
58#2628C2212yescomplemented
59#2597C2214yes—
60#2597C2214yescomplemented
61#2594C2214yes—
62#2590C2214yescomplemented
63#2589C2214yes—
64#2589C2214yescomplemented
65#2588C2214yescomplemented
66#2587C2214yes—
67#2585C2214yescomplemented
68#2577C2214yescomplemented
69#2576C2214yes—
70#2575C2214yescomplemented
71#2573C2214yescomplemented
72#2572C2214yes—
73#2570C2212yescomplemented
74#2570C2212yescomplemented
75#2563C2212yes—
76#2562C2212yes—
77#2562C2212yes—
78#2558C2214yes—
79#2554C2214yes—
80#2552C2212yescomplemented
81#2552C2212yescomplemented
82#2547C2212yes—
83#2531C2214yes—
84#2531C2214yescomplemented
85#2530C2214yescomplemented
86#2529C2214yes—
87#2529C2214yescomplemented
88#2528C2214yescomplemented
89#2526C2214yes—
90#2526C2214yescomplemented
91#2525C2214yes—
92#2525C2214yes—
93#2524C2214yescomplemented
94#2523C2214yescomplemented
95#2519C2214yescomplemented
96#2516C2214yes—
97#2515C2214yescomplemented
98#2514C2212yescomplemented
99#2513C2212yescomplemented
100#2512C2212yescomplemented
101#2511C2212yescomplemented
102#2509C2214yescomplemented
103#2507C2212yescomplemented
104#2507C2212yescomplemented
105#2506C2212yescomplemented
106#2506C2212yescomplemented
107#2497C2212yes—
108#2497C2212yes—
109#2497C2212yes—
110#2497C2212yes—
111#2497C2212yes—
112#2497C2212yes—
113#2497C2212yes—
114#2497C2212yes—
115#2497C2212yescomplemented
116#2496C2212yescomplemented
117#2495C2212yescomplemented
118#2494C2212yescomplemented
119#2493C2214yescomplemented
120#2492C2212yes—
121#2491C2212yes—
122#2490C2212yes—
123#2489C2212yes—
124#2489C2214yescomplemented
125#2488C2214yes—
126#2487C2212yes—
127#2487C2212yescomplemented
128#2486C2212yes—
129#2486C2212yescomplemented
130#2485C2212yes—
131#2485C2212yes—
132#2485C2212yescomplemented
133#2485C2212yescomplemented
134#2476C2214yes—
135#2475C2214yescomplemented
136#2474C2214yes—
137#2473C2214yes—
138#2473C2214yes—
139#2472C2214yes—
140#2471C2214yes—
141#2468C2214yes—
142#2466C2214yescomplemented
143#2460C2214yes—
144#2459C2214yes—
145#2458C2214yescomplemented
146#2454C2214yes—
147#2454C2212yescomplemented
148#2453C2212yescomplemented
149#2452C2212yescomplemented
150#2451C2212yescomplemented
151#2450C2214yes—
152#2450C2214yes—
153#2450C2214yescomplemented
154#2449C2214yes—
155#2448C2212yescomplemented
156#2447C2212yescomplemented
157#2446C2212yescomplemented
158#2445C2212yescomplemented
159#2444C2214yes—
160#2443C2214yes—
161#2429C2211yescharacteristic
162#2429C2211yescharacteristic
163#2428C2211yescharacteristic
164#2428C2211yescharacteristic
165#2427C2211yescharacteristic
166#2427C2211yescharacteristic
167#2426C2211yescharacteristic
168#2426C2214yes—
169#2426C2211yescharacteristic
170#2425C2212yes—
171#2425C2214yes—
172#2425C2212yes—
173#2424C2212yes—
174#2424C2212yes—
175#2423C2212yes—
176#2422C2212yes—
177#2421C2212yes—
178#2420C2212yes—
179#2419C2214yes—
180#2418C2214yes—
181#2402C2214yescomplemented
182#2396C2214yes—
183#2395C2214yescomplemented
184C2×#400C2212yes—
185#2392C2214yes—
186#2392C2212yes—
187#2392C2212yes—
188C2×#396C2212yes—
189#2370C2212yescomplemented
190#2370C2212yescomplemented
191#2369C2212yescomplemented
192#2368C2214yes—
193#2365C2212yescomplemented
194#2361C2214yes—
195#2361C2214yes—
196#2360C2214yes—
197#2359C2214yes—
198#2359C2214yes—
199#2358C2214yes—
200#2358C2214yes—
201#2354C2212yes—
202#2354C2212yes—
203#2354C2212yescomplemented
204#2354C2212yescomplemented
205#2353C2214yes—
206#2352C2214yes—
207#2352C2212yes—
208#2352C2212yes—
209#2352C2212yes—
210#2352C2212yes—
211D4×C4⋊C4C2212yes—
212D4×C4⋊C4C2212yes—
213D4×C4⋊C4C2212yescomplemented
214D4×C4⋊C4C2212yescomplemented
215#2347C2211yescharacteristic
216#2347C2211yescharacteristic
217#2347C2212yescomplemented
218#2346C2211yescharacteristic
219#2346C2211yescharacteristic
220#2346C2212yescomplemented
221#2345C2211yescharacteristic
222#2345C2211yescharacteristic
223#2345C2212yescomplemented
224#2344C2211yescharacteristic
225#2344C2211yescharacteristic
226#2344C2212yescomplemented
227#2343C2212yes—
228#2343C2212yes—
229#2342C2212yes—
230#2342C2212yes—
231#2331C2212yescomplemented
232#2330C2212yescomplemented
233#2326C2212yescomplemented
234#2326C2212yescomplemented
235#2324C2212yes—
236#2324C2212yes—
237#2323C2212yes—
238#2323C2212yes—
239#2320C2212yescomplemented
240#2319C2212yescomplemented
241#2317C2211yescharacteristic
242#2317C2211yescharacteristic
243#2317C2211yescharacteristic
244#2316C2211yescharacteristic
245#2311C2211yescharacteristic
246#2311C2211yescharacteristic
247#2311C2211yescharacteristic
248#2311C2211yescharacteristic
249#2311C2211yescharacteristic
250C4×C4⋊Q8C2212yescomplemented
251C4×C4⋊Q8C2212yescomplemented
252C4×#127C2212yescomplemented
253C4×#125C2212yescomplemented
254C4×C22⋊Q8C2212yes—
255C4×C22⋊Q8C2212yes—
256C4×#123C2214yescomplemented
257C4×#121C2212yes—
258C4×#121C2212yes—
259C4×#121C2212yes—
260C4×#121C2212yes—
261C4×#121C2214yes—
262#2298C2212yes—
263#2298C2212yes—
264#2298C2214yes—
265#2297C2211yescharacteristic
266#2296C2211yescharacteristic
267#2296C2211yescharacteristic
268#2296C2211yescharacteristic
269#2295C2212yescomplemented
270#2295C2214yescomplemented
271#2293C2212yescomplemented
272C2×#389C2211yescharacteristic
273C2×#389C2211yescharacteristic
274C2×#388C2212yes—
275C2×#387C2212yes—
276C2×#384C2211yescharacteristic
277#2283C2212yes—
278#2280C2211yescharacteristic
279C2×#380C2211yescharacteristic
280C2×#380C2211yescharacteristic
281#2276C2212yescomplemented
282#2275C2214yes—
283#2275C2212yescomplemented
284#2274C2211yescharacteristic
285#2274C2211yescharacteristic
286#2274C2211yescharacteristic
287#2274C2212yescomplemented
288#2274C2212yescomplemented
289C42×Q8C2212yescomplemented
290C42×D4C2214yes—
291C42×D4C2212yescomplemented
292C4×#117C2212yes—
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2212yescomplemented
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#544—28no—
303#532—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#127C2311yescharacteristic
308C2×#126C2314yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#125C2314yes—
313C2×#124C2311yescharacteristic
314C2×#124C2311yescharacteristic
315C2×#124C2314yes—
316#525—28no—
317#525—28no—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2314yes—
328C2×#121C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#120C2312yes—
337C2×#120C2312yes—
338#520—28no—
339#520—28no—
340#520—28no—
341C4×#41—28no—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2314yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×#117—28no—
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2314yes—
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C22⋊C4C2312yes—
400C22×C22⋊C4C2311yescharacteristic
401C22×C22⋊C4C2311yescharacteristic
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C42C2312yes—
405C22×C42C2312yes—
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2314yes—
409C22×C42C2312yes—
410#401C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#396C2312yes—
454#396C2314yes—
455#396C2312yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2312yes—
464#395C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2312yes—
472#394C2312yes—
473#394C2312yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#392C2312yes—
481#392C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2311yescharacteristic
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2311yescharacteristic
494#390C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2314yes—
498#390C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2311yescharacteristic
503#390C2314yes—
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2314yes—
533#389C2311yescharacteristic
534#389C2314yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2314yes—
647#386C2312yes—
648#386C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#384C2312yes—
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#383C2314yes—
678#383C2314yes—
679#383C2312yes—
680#383C2312yes—
681#382C2312yes—
682#382C2314yes—
683#382C2312yes—
684#382C2312yes—
685#382C2314yes—
686#382C2312yes—
687#382C2312yes—
688#381C2312yes—
689#381C2314yes—
690#381C2314yes—
691#381C2312yes—
692#381C2312yes—
693#381C2314yes—
694#380C2312yes—
695#380C2311yescharacteristic
696#380C2311yescharacteristic
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2311yescharacteristic
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2314yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#379C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
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⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808C2×#95C2311yescharacteristic
809C2×#95C2311yescharacteristic
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2314yes—
816C43C2312yes—
817C43C2314yes—
818C43C2312yes—
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41#4118yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2414yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C23×C4—24no—
840C23×C4—24no—
841C23×C4—24no—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C4⋊Q8—24no—
866C4⋊Q8—28no—
867C4⋊Q8—28no—
868#127—24no—
869#126—84no—
870#125—28no—
871#125—28no—
872#125—84no—
873#125—84no—
874#124—24no—
875#124—24no—
876#124—84no—
877#123—28no—
878#123—28no—
879#123—48no—
880#123—84no—
881C22⋊Q8—24no—
882C22⋊Q8—24no—
883C22⋊Q8—24no—
884C22⋊Q8—24no—
885C22⋊Q8—216no—
886C22⋊Q8—84no—
887#121—24no—
888#121—24no—
889#121—28no—
890#121—28no—
891#121—24no—
892#121—24no—
893#121—28no—
894#121—44no—
895#120—28no—
896#120—28no—
897C4×Q8—28no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—28no—
901C4×Q8—28no—
902C4×Q8—48no—
903C4×D4—216no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—216no—
914C4×D4—216no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—84no—
920C4×D4—84no—
921C4×D4—84no—
922C4×D4—84no—
923#117—24no—
924#117—28no—
925#117—24no—
926#117—24no—
927#117—24no—
928#117—24no—
929#117—24no—
930#117—28no—
931#117—28no—
932#117—28no—
933#117—28no—
934#117—28no—
935#117—28no—
936#117—44no—
937#117—84no—
938#117#4118yes—
939#117#4118yes—
940C2×C4⋊C4—28no—
941C2×C4⋊C4—24no—
942C2×C4⋊C4—24no—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—24no—
945C2×C4⋊C4—24no—
946C2×C4⋊C4—24no—
947C2×C4⋊C4—28no—
948C2×C4⋊C4—28no—
949C2×C4⋊C4—44no—
950C2×C4⋊C4—82no—
951C2×C4⋊C4—82no—
952C2×C4⋊C4—82no—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C22⋊C4—28no—
1018C2×C22⋊C4—24no—
1019C2×C22⋊C4—42no—
1020C2×C22⋊C4—82no—
1021C2×C22⋊C4—82no—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C42—24no—
1078C2×C42—24no—
1079C2×C42—28no—
1080C2×C42—28no—
1081C2×C42—84no—
1082C2×C42—82no—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2414yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—41no—
1195C24—41no—
1196C24—41no—
1197C24C2511yescharacteristic
1198C24C2512yes—
1199C24C2512yes—
1200C24C2511yescharacteristic
1201C24C2511yescharacteristic
1202#41—232no—
1203#41—416no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—28no—
1210C2×Q8—44no—
1211C2×Q8—44no—
1212C2×Q8C2×#4114yes—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4C2×#4118yes—
1242C2×D4C2×#4114yes—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—28no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—28no—
1282C22×C4—28no—
1283C22×C4—42no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—41no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—41no—
1299C22×C4—42no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—44no—
1308C22×C4—416no—
1309C22×C4C2×#4118yes—
1310C22×C4C2×#4114yes—
1311C22×C4C2×#4114yes—
1312C22×C4C2×#4114yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2514yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2514yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2514yes—
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—28no—
1352C4⋊C4—28no—
1353C4⋊C4—28no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—28no—
1373C4⋊C4—28no—
1374C4⋊C4—28no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—28no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4C2×#4114yes—
1404C4⋊C4C2×#4114yes—
1405C4⋊C4C2×#4114yes—
1406C4⋊C4C2×#4114yes—
1407C22⋊C4—24no—
1408C22⋊C4—28no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—22no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—24no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4C2×#4118yes—
1460C22⋊C4C2×#4118yes—
1461C22⋊C42−1+414yes—
1462C42—22no—
1463C42—24no—
1464C42—24no—
1465C42—22no—
1466C42—24no—
1467C42—22no—
1468C42—22no—
1469C42—24no—
1470C42—22no—
1471C42—24no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—28no—
1477C42—28no—
1478C42—24no—
1479C42—28no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—24no—
1484C42—42no—
1485C42—44no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42—42no—
1490C42—42no—
1491C42—44no—
1492C42—42no—
1493C42—42no—
1494C42—44no—
1495C42—44no—
1496C42—44no—
1497C42C2×#4118yes—
1498C42C2×#4118yes—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—22no—
1504C23—22no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—22no—
1509C23—21no—
1510C23—22no—
1511C23—22no—
1512C23—21no—
1513C23—21no—
1514C23—22no—
1515C23—21no—
1516C23—22no—
1517C23—21no—
1518C23—21no—
1519C23—22no—
1520C23—22no—
1521C23—21no—
1522C23—22no—
1523C23—21no—
1524C23—22no—
1525C23—21no—
1526C23—21no—
1527C23—22no—
1528C23—22no—
1529C23—44no—
1530C23—44no—
1531C23—44no—
1532C23—44no—
1533C23—82no—
1534C23—82no—
1535C23—82no—
1536C23C22×#4114yes—
1537C23C22×#4112yes—
1538C23C22×#4112yes—
1539C23C22×#4112yes—
1540C23C2×2−1+412yes—
1541C23C2611yescharacteristic
1542Q8—28no—
1543Q8—44no—
1544Q8—88no—
1545D4—216no—
1546D4—28no—
1547D4—48no—
1548D4—48no—
1549D4—48no—
1550D4—48no—
1551D4—48no—
1552D4—44no—
1553D4—84no—
1554D4—84no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—216no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—24no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—48no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—44no—
1636C2×C4—48no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—48no—
1643C2×C4—84no—
1644C2×C4—84no—
1645C2×C4—88no—
1646C2×C4—88no—
1647C2×C4—82no—
1648C2×C4—84no—
1649C2×C4—84no—
1650C2×C4—88no—
1651C2×C4—84no—
1652C2×C4—84no—
1653C2×C4#529116yes—
1654C2×C4C22×#4114yes—
1655C2×C4C22×#4114yes—
1656C2×C4C22×#4114yes—
1657C2×C4C22×#4114yes—
1658C2×C4C22×#4114yes—
1659C2×C4C22×#4112yes—
1660C2×C4C22×#4112yes—
1661C2×C4C22×#4112yes—
1662C2×C4C22×#4112yes—
1663C2×C4C22×#4112yes—
1664C2×C4C22×#4112yes—
1665C2×C4C2×2−1+412yes—
1666C2×C4C2×2−1+412yes—
1667C2×C4#58512yes—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—24no—
1677C22—24no—
1678C22—22no—
1679C22—24no—
1680C22—42no—
1681C22—41no—
1682C22—42no—
1683C22—41no—
1684C22—42no—
1685C22—42no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—41no—
1693C22—41no—
1694C22—42no—
1695C22—41no—
1696C22—42no—
1697C22—41no—
1698C22—42no—
1699C22—41no—
1700C22—41no—
1701C22—42no—
1702C22—88no—
1703C22C2×#52914yes—
1704C22C23×#4111yescharacteristic
1705C22C23×#4111yescharacteristic
1706C22C23×#4111yescharacteristic
1707C22C22×2−1+411yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22H(7,𝔽2)11yescharacteristic
1710C22H(7,𝔽2)11yescharacteristic
1711C4—24no—
1712C4—22no—
1713C4—24no—
1714C4—22no—
1715C4—22no—
1716C4—24no—
1717C4—24no—
1718C4—24no—
1719C4—41no—
1720C4—41no—
1721C4—44no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—41no—
1726C4—41no—
1727C4—42no—
1728C4—41no—
1729C4—42no—
1730C4—44no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4—44no—
1735C4—44no—
1736C4—41no—
1737C4—41no—
1738C4—42no—
1739C4C2×#52914yes—
1740C4C2×#52914yes—
1741C2—24no—
1742C2—44no—
1743C2—42no—
1744C2—82no—
1745C2—81no—
1746C2C22×#52911yescharacteristic
1747C2#6280511yescharacteristic
1748C2#6285811yescharacteristic
1749C2#6299411yescharacteristic
1750C2#6300011yescharacteristic
1751C2#6300011yescharacteristic
1752C2#6300811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34743C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36551C2semidirect
2. #36486C2semidirect
3. #36417C2semidirect
4. #36322C2semidirect
5. #36315C2semidirect
6. #36309C2semidirect
7. #36026C2semidirect
8. #35915C2semidirect
9. #35889C2semidirect
10. #35828C2semidirect
11. #35774C2semidirect
12. #35699C2semidirect
13. #35650C2semidirect
14. #35587C2semidirect
15. #35560C2semidirect
16. #35555C2semidirect
17. #35547C2semidirect
18. #35542C2semidirect
19. #35517C2semidirect
20. #35516C2semidirect
21. #35257C2semidirect
22. #35203C2semidirect
23. #35194C2semidirect
24. #35160C2semidirect
25. #34970C2semidirect
26. #34916C2semidirect
27. C2×#2497C2semidirect
29. #34272C2semidirect
30. #34253C2semidirect
31. #34207C2semidirect
32. #34202C2semidirect
33. #34202C2semidirect
34. #34109C2semidirect
35. C4×#520C2semidirect
45. #2865C22semidirect
47. #2857C22semidirect
50. #2851C22semidirect
51. #2851C22semidirect
52. #2652C22semidirect
54. #2650C22semidirect
57. #2629C22semidirect
58. #2628C22semidirect
60. #2597C22semidirect
62. #2590C22semidirect
64. #2589C22semidirect
65. #2588C22semidirect
67. #2585C22semidirect
68. #2577C22semidirect
70. #2575C22semidirect
71. #2573C22semidirect
73. #2570C22semidirect
74. #2570C22semidirect
80. #2552C22semidirect
81. #2552C22semidirect
84. #2531C22semidirect
85. #2530C22semidirect
87. #2529C22semidirect
88. #2528C22semidirect
90. #2526C22semidirect
93. #2524C22semidirect
94. #2523C22semidirect
95. #2519C22semidirect
97. #2515C22semidirect
98. #2514C22semidirect
99. #2513C22semidirect
100. #2512C22semidirect
101. #2511C22semidirect
102. #2509C22semidirect
103. #2507C22semidirect
104. #2507C22semidirect
105. #2506C22semidirect
106. #2506C22semidirect
115. #2497C22semidirect
116. #2496C22semidirect
117. #2495C22semidirect
118. #2494C22semidirect
119. #2493C22semidirect
124. #2489C22semidirect
127. #2487C22semidirect
129. #2486C22semidirect
132. #2485C22semidirect
133. #2485C22semidirect
135. #2475C22semidirect
142. #2466C22semidirect
145. #2458C22semidirect
147. #2454C22semidirect
148. #2453C22semidirect
149. #2452C22semidirect
150. #2451C22semidirect
153. #2450C22semidirect
155. #2448C22semidirect
156. #2447C22semidirect
157. #2446C22semidirect
158. #2445C22semidirect
181. #2402C22semidirect
183. #2395C22semidirect
189. #2370C22semidirect
190. #2370C22semidirect
191. #2369C22semidirect
193. #2365C22semidirect
203. #2354C22semidirect
204. #2354C22semidirect
213. D4×C4⋊C4C22semidirect
214. D4×C4⋊C4C22semidirect
217. #2347C22semidirect
220. #2346C22semidirect
223. #2345C22semidirect
226. #2344C22semidirect
231. #2331C22semidirect
232. #2330C22semidirect
233. #2326C22semidirect
234. #2326C22semidirect
239. #2320C22semidirect
240. #2319C22semidirect
250. C4×C4⋊Q8C22semidirect
251. C4×C4⋊Q8C22semidirect
252. C4×#127C22semidirect
253. C4×#125C22semidirect
256. C4×#123C22semidirect
269. #2295C22semidirect
270. #2295C22semidirect
271. #2293C22semidirect
281. #2276C22semidirect
283. #2275C22semidirect
287. #2274C22semidirect
288. #2274C22semidirect
289. C42×Q8C22semidirect
291. C42×D4C22semidirect
295. C4×#117C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#365512
#364862
#364172
#363222
#363152
#363092
#360262
#359152
#358892
#358282
#357742
#356992
#356502
#355872
#355602
#355552
#355472
#355422
#355172
#355162
#352572
#352032
#351942
#351602
#349702
#349162
C2×#24972
#347432
#342722
#342532
#342072
#342022
#341092
C4×#5202