Finite Group Databasebeta

← #7681098

Subgroups — #7681098

Order 512.

4809 conjugacy classes of subgroups.

The subgroup lattice has 1679 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59495C214yesmaximal, complemented
2#59492C214yesmaximal, complemented
3#59298C212yesmaximal, complemented
4#59293C212yesmaximal, complemented
5#59291C212yesmaximal, complemented
6#59225C212yesmaximal, complemented
7#45331C212yesmaximal, complemented
8#45253C212yesmaximal, complemented
9#45178C212yesmaximal, complemented
10#45017C212yesmaximal, complemented
11#43669C214yesmaximal, complemented
12#43266C214yesmaximal, complemented
13#38930C212yesmaximal, complemented
14#38927C212yesmaximal, complemented
15#38279C212yesmaximal, complemented
16#38274C212yesmaximal, complemented
17#38273C212yesmaximal, complemented
18#38272C212yesmaximal, complemented
19#36372C212yesmaximal, complemented
20#36287C212yesmaximal, complemented
21#35544C211yesmaximal, characteristic, complemented
22#35543C211yesmaximal, characteristic, complemented
23#35532C211yesmaximal, characteristic, complemented
24#35516C211yesmaximal, characteristic
25#35286C211yesmaximal, characteristic, complemented
26#35265C211yesmaximal, characteristic, complemented
27#35253C211yesmaximal, characteristic, complemented
28C2×#2497C211yesmaximal, characteristic, complemented
29#34742C211yesmaximal, characteristic
30#34271C211yesmaximal, characteristic, complemented
31#34253C211yesmaximal, characteristic, complemented
32#34250C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic
34#34109C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#525C2211yescharacteristic
38C2×#520C2211yescharacteristic
39C2×#520C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41C22×#117C2211yescharacteristic
42#2864C2212yescomplemented
43#2859C2212yescomplemented
44#2859C2212yescomplemented
45#2859C2212yescomplemented
46#2857C2212yes—
47#2851C2212yes—
48#2794C2214yescomplemented
49#2793C2214yes—
50#2787C2214yescomplemented
51#2781C2214yes—
52#2775C2214yes—
53#2774C2214yescomplemented
54#2773C2214yes—
55#2772C2214yes—
56#2771C2214yescomplemented
57#2770C2214yes—
58#2769C2214yescomplemented
59#2768C2214yes—
60#2767C2214yescomplemented
61#2767C2214yescomplemented
62#2766C2214yescomplemented
63#2765C2214yescomplemented
64#2743C2214yes—
65#2743C2214yes—
66#2738C2214yescomplemented
67#2738C2214yescomplemented
68#2707C2214yes—
69#2702C2214yes—
70#2694C2214yes—
71#2690C2214yescomplemented
72#2647C2212yescomplemented
73#2647C2212yescomplemented
74#2647C2212yescomplemented
75#2647C2212yescomplemented
76#2629C2212yes—
77#2628C2212yes—
78#2612C2214yescomplemented
79#2612C2214yescomplemented
80#2609C2214yes—
81#2604C2214yes—
82#2590C2214yescomplemented
83#2575C2214yes—
84#2575C2214yescomplemented
85#2573C2214yescomplemented
86#2571C2212yescomplemented
87#2571C2212yescomplemented
88#2571C2212yescomplemented
89#2570C2212yescomplemented
90#2570C2212yescomplemented
91#2567C2212yescomplemented
92#2566C2212yescomplemented
93#2565C2212yescomplemented
94#2558C2214yes—
95#2556C2214yes—
96#2556C2214yes—
97#2552C2212yescomplemented
98#2552C2212yescomplemented
99#2552C2212yescomplemented
100#2542C2212yescomplemented
101#2536C2214yes—
102#2533C2214yescomplemented
103#2530C2214yescomplemented
104#2529C2214yes—
105#2528C2214yescomplemented
106#2525C2214yes—
107#2524C2214yescomplemented
108#2524C2214yescomplemented
109#2519C2214yes—
110#2515C2214yes—
111#2509C2212yescomplemented
112#2509C2212yescomplemented
113#2508C2212yescomplemented
114#2508C2212yescomplemented
115#2507C2212yescomplemented
116#2507C2212yescomplemented
117#2506C2212yescomplemented
118#2506C2214yescomplemented
119#2506C2212yescomplemented
120#2505C2214yes—
121#2505C2214yes—
122#2503C2214yescomplemented
123#2497C2212yes—
124#2497C2212yes—
125#2497C2212yes—
126#2497C2212yes—
127#2497C2212yes—
128#2497C2212yes—
129#2497C2212yes—
130#2497C2212yes—
131#2497C2212yes—
132#2497C2212yes—
133#2496C2212yes—
134#2496C2212yes—
135#2495C2212yes—
136#2495C2212yes—
137#2494C2212yes—
138#2494C2212yes—
139#2493C2214yes—
140#2488C2214yes—
141#2487C2212yes—
142#2486C2212yes—
143#2485C2212yes—
144#2485C2212yes—
145#2480C2214yes—
146#2479C2214yes—
147#2475C2214yescomplemented
148#2475C2214yescomplemented
149#2473C2214yes—
150#2473C2214yes—
151#2473C2214yescomplemented
152#2470C2214yes—
153#2462C2214yescomplemented
154#2460C2214yes—
155#2449C2214yes—
156#2449C2214yes—
157#2442C2214yes—
158#2442C2214yes—
159#2442C2212yes—
160#2441C2214yes—
161#2441C2212yes—
162#2441C2212yescomplemented
163#2441C2212yescomplemented
164#2440C2212yes—
165#2440C2212yescomplemented
166#2440C2212yescomplemented
167#2439C2212yes—
168#2438C2214yes—
169#2438C2214yescomplemented
170#2437C2214yes—
171#2423C2212yes—
172#2423C2211yescharacteristic
173#2423C2211yescharacteristic
174#2422C2211yescharacteristic
175#2422C2212yes—
176#2422C2211yescharacteristic
177#2421C2211yescharacteristic
178#2421C2212yes—
179#2421C2211yescharacteristic
180#2421C2214yescomplemented
181#2420C2211yescharacteristic
182#2420C2212yes—
183#2420C2211yescharacteristic
184#2419C2212yes—
185#2419C2214yes—
186#2419C2212yes—
187#2418C2212yes—
188#2418C2214yes—
189#2418C2212yes—
190#2417C2214yes—
191#2413C2214yes—
192#2395C2212yes—
193#2395C2212yes—
194C2×#400C2212yes—
195C2×#396C2212yes—
196#2370C2212yescomplemented
197#2370C2212yescomplemented
198#2370C2214yescomplemented
199#2370C2212yescomplemented
200#2370C2212yescomplemented
201#2369C2212yescomplemented
202#2369C2212yescomplemented
203#2365C2212yescomplemented
204#2365C2212yescomplemented
205#2359C2214yes—
206#2359C2214yes—
207#2358C2214yes—
208#2354C2212yes—
209#2353C2214yes—
210#2352C2214yes—
211#2352C2212yes—
212#2352C2212yes—
213#2351C2212yescomplemented
214Q8×C4⋊C4C2212yescomplemented
215#2349C2214yes—
216#2349C2212yescomplemented
217D4×C4⋊C4C2214yes—
218D4×C4⋊C4C2212yes—
219D4×C4⋊C4C2212yescomplemented
220#2347C2211yescharacteristic
221#2347C2211yescharacteristic
222#2347C2212yescomplemented
223#2346C2211yescharacteristic
224#2346C2211yescharacteristic
225#2346C2214yes—
226#2346C2212yescomplemented
227#2345C2211yescharacteristic
228#2345C2211yescharacteristic
229#2345C2212yescomplemented
230#2344C2211yescharacteristic
231#2344C2211yescharacteristic
232#2344C2212yescomplemented
233#2343C2212yes—
234#2343C2212yes—
235#2343C2214yescomplemented
236#2342C2212yes—
237#2342C2212yes—
238#2329C2214yes—
239#2324C2212yes—
240#2323C2212yes—
241#2320C2212yescomplemented
242#2320C2212yescomplemented
243#2319C2212yescomplemented
244#2319C2212yescomplemented
245#2318C2214yes—
246#2317C2211yescharacteristic
247#2317C2211yescharacteristic
248#2317C2211yescharacteristic
249#2317C2211yescharacteristic
250#2317C2211yescharacteristic
251#2317C2211yescharacteristic
252#2317C2212yescomplemented
253#2316C2211yescharacteristic
254#2316C2211yescharacteristic
255#2316C2211yescharacteristic
256#2316C2212yescomplemented
257#2314C2212yescomplemented
258#2314C2212yescomplemented
259#2311C2211yescharacteristic
260#2311C2211yescharacteristic
261C4×C22⋊Q8C2212yes—
262C4×C22⋊Q8C2214yes—
263C4×#123C2212yes—
264C4×#123C2212yes—
265C4×#121C2212yes—
266#2298C2212yes—
267#2298C2212yes—
268#2297C2211yescharacteristic
269#2296C2211yescharacteristic
270#2296C2211yescharacteristic
271#2296C2211yescharacteristic
272#2296C2212yescomplemented
273#2295C2212yescomplemented
274#2295C2212yescomplemented
275#2293C2212yescomplemented
276#2293C2212yescomplemented
277C2×#389C2211yescharacteristic
278C2×#389C2211yescharacteristic
279C2×#389C2212yescomplemented
280#2290C2214yes—
281C2×#388C2212yes—
282C2×#387C2212yes—
283#2285C2211yescharacteristic
284#2285C2212yescomplemented
285C2×#384C2211yescharacteristic
286#2283C2212yes—
287#2283C2212yescomplemented
288#2280C2211yescharacteristic
289#2280C2211yescharacteristic
290C2×#380C2211yescharacteristic
291C2×#380C2211yescharacteristic
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C24×C4C2311yescharacteristic
301#544—28no—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×#126C2314yes—
305C2×#125C2312yes—
306C2×#125C2312yes—
307C2×#125C2314yes—
308C2×#125C2314yes—
309C2×#125C2314yes—
310C2×#125C2314yes—
311#525—28no—
312C2×#123C2312yes—
313C2×#123C2312yes—
314C2×#123C2312yes—
315C2×#123C2314yes—
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×#121C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#120C2312yes—
325#520—28no—
326#520—28no—
327C4×#41—28no—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2314yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2312yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2314yes—
344C2×#117—28no—
345C2×#117C2311yescharacteristic
346C2×#117C2311yescharacteristic
347C2×#117C2312yes—
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2314yes—
361C2×#117C2314yes—
362C2×#117C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2314yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C42C2312yes—
382C22×C42C2311yescharacteristic
383C22×C42C2312yes—
384C22×C42C2311yescharacteristic
385C22×C42C2312yes—
386#401C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2312yes—
413#399C2314yes—
414#399C2312yes—
415#399C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#397C2312yes—
436#397C2312yes—
437#397C2314yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#394C2312yes—
460#394C2312yes—
461#394C2312yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#393C2314yes—
466#391C2311yescharacteristic
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#390C2311yescharacteristic
475#390C2312yes—
476#390C2312yes—
477#390C2311yescharacteristic
478#390C2314yes—
479#389C2314yes—
480#389C2314yes—
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2314yes—
490#389C2314yes—
491#389C2314yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2314yes—
504#389C2314yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2314yes—
541#389C2312yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2314yes—
629#386C2312yes—
630#386C2314yes—
631#386C2312yes—
632#386C2312yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2312yes—
648#385C2314yes—
649#385C2312yes—
650#385C2312yes—
651#385C2312yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2312yes—
658#384C2312yes—
659#384C2312yes—
660#384C2312yes—
661#384C2312yes—
662#384C2312yes—
663#384C2311yescharacteristic
664#384C2312yes—
665#384C2312yes—
666#384C2312yes—
667#384C2312yes—
668#384C2312yes—
669#384C2314yes—
670#384C2311yescharacteristic
671#383C2314yes—
672#383C2314yes—
673#383C2314yes—
674#383C2312yes—
675#383C2312yes—
676#382C2312yes—
677#382C2312yes—
678#382C2312yes—
679#382C2312yes—
680#382C2311yescharacteristic
681#382C2312yes—
682#382C2312yes—
683#382C2311yescharacteristic
684#382C2314yes—
685#382C2314yes—
686#382C2314yes—
687#382C2314yes—
688#382C2314yes—
689#382C2314yes—
690#382C2314yes—
691#382C2312yes—
692#382C2312yes—
693#381C2314yes—
694#381C2314yes—
695#381C2314yes—
696#381C2312yes—
697#381C2312yes—
698#381C2312yes—
699#381C2312yes—
700#381C2312yes—
701#381C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2314yes—
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2314yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#379C2312yes—
735#379C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806C2×#95C2312yes—
807C2×#95C2311yescharacteristic
808C2×#95C2311yescharacteristic
809C2×#95C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C43C2312yes—
815C43C2312yes—
816C25C2411yescharacteristic
817C2×#41—24no—
818C2×#41—24no—
819C2×#41#4118yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2414yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C23×C4—24no—
827C23×C4—24no—
828C23×C4—24no—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C4⋊Q8—28no—
851C4⋊Q8—28no—
852#126—84no—
853#125—28no—
854#125—28no—
855#125—48no—
856#125—84no—
857#125—84no—
858#125—84no—
859#123—28no—
860#123—28no—
861#123—44no—
862#123—84no—
863C22⋊Q8—24no—
864C22⋊Q8—24no—
865C22⋊Q8—216no—
866C22⋊Q8—84no—
867C22⋊Q8—84no—
868C22⋊Q8—84no—
869#121—24no—
870#121—24no—
871#120—28no—
872C4×Q8—24no—
873C4×Q8—24no—
874C4×Q8—28no—
875C4×Q8—28no—
876C4×Q8—84no—
877C4×D4—28no—
878C4×D4—24no—
879C4×D4—28no—
880C4×D4—24no—
881C4×D4—216no—
882C4×D4—28no—
883C4×D4—28no—
884C4×D4—28no—
885C4×D4—216no—
886C4×D4—28no—
887C4×D4—84no—
888#117—24no—
889#117—28no—
890#117—24no—
891#117—28no—
892#117—24no—
893#117—24no—
894#117—24no—
895#117—24no—
896#117—24no—
897#117—24no—
898#117—28no—
899#117—28no—
900#117—28no—
901#117—28no—
902#117—44no—
903#117—48no—
904#117—84no—
905#117#4118yes—
906C2×C4⋊C4—28no—
907C2×C4⋊C4—24no—
908C2×C4⋊C4—24no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—24no—
911C2×C4⋊C4—24no—
912C2×C4⋊C4—24no—
913C2×C4⋊C4—28no—
914C2×C4⋊C4—44no—
915C2×C4⋊C4—84no—
916C2×C4⋊C4—82no—
917C2×C4⋊C4—82no—
918C2×C4⋊C4—82no—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C22⋊C4—28no—
995C2×C22⋊C4—24no—
996C2×C22⋊C4—42no—
997C2×C22⋊C4—82no—
998C2×C22⋊C4—82no—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C42—28no—
1045C2×C42—24no—
1046C2×C42—24no—
1047C2×C42—28no—
1048C2×C42—82no—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2414yes—
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24—22no—
1165C24—22no—
1166C24—22no—
1167C24—22no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24C2511yescharacteristic
1172C24C2512yes—
1173C24C2511yescharacteristic
1174C24C2511yescharacteristic
1175#41—232no—
1176C2×Q8—22no—
1177C2×Q8—28no—
1178C2×Q8—22no—
1179C2×Q8—44no—
1180C2×Q8—44no—
1181C2×Q8C2×#4114yes—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4C2×#4118yes—
1193C2×D4C2×#4114yes—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—22no—
1206C22×C4—28no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—28no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—41no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—41no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—416no—
1254C22×C4C2×#4118yes—
1255C22×C4C2×#4114yes—
1256C22×C4C2×#4114yes—
1257C22×C42−1+414yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2514yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
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—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4C2×#4114yes—
1363C4⋊C4C2×#4114yes—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—22no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—24no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—24no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4C2×#4118yes—
1408C22⋊C42−1+414yes—
1409C42—22no—
1410C42—24no—
1411C42—24no—
1412C42—22no—
1413C42—24no—
1414C42—24no—
1415C42—24no—
1416C42—22no—
1417C42—24no—
1418C42—22no—
1419C42—24no—
1420C42—28no—
1421C42—28no—
1422C42—24no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42—42no—
1436C42—42no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—42no—
1441C42—42no—
1442C42—42no—
1443C42C2×#4118yes—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—22no—
1449C23—21no—
1450C23—21no—
1451C23—22no—
1452C23—21no—
1453C23—22no—
1454C23—21no—
1455C23—22no—
1456C23—21no—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—82no—
1472C23—82no—
1473C23—82no—
1474C23C22×#4114yes—
1475C23C22×#4112yes—
1476C23C22×#4112yes—
1477C23C2×2−1+412yes—
1478C23C2×2−1+412yes—
1479C23C2611yescharacteristic
1480Q8—28no—
1481Q8—88no—
1482D4—216no—
1483D4—28no—
1484D4—48no—
1485D4—84no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—216no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—24no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—44no—
1569C2×C4—48no—
1570C2×C4—48no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—84no—
1579C2×C4—88no—
1580C2×C4—82no—
1581C2×C4—84no—
1582C2×C4—84no—
1583C2×C4—88no—
1584C2×C4—84no—
1585C2×C4—84no—
1586C2×C4—84no—
1587C2×C4#552116yes—
1588C2×C4C22×#4114yes—
1589C2×C4C22×#4114yes—
1590C2×C4C22×#4114yes—
1591C2×C4C22×#4112yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4112yes—
1594C2×C4C22×#4112yes—
1595C2×C4C2×2−1+412yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4C2×2−1+412yes—
1598C2×C4C2×2−1+412yes—
1599C2×C4#58512yes—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—24no—
1607C22—24no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—24no—
1612C22—41no—
1613C22—42no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—42no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—88no—
1628C22C2×#55214yes—
1629C22C23×#4111yescharacteristic
1630C22C23×#4111yescharacteristic
1631C22C22×2−1+411yescharacteristic
1632C22C22×2−1+411yescharacteristic
1633C22C2×#58511yescharacteristic
1634C22H(7,𝔽2)11yescharacteristic
1635C22H(7,𝔽2)11yescharacteristic
1636C4—22no—
1637C4—24no—
1638C4—24no—
1639C4—22no—
1640C4—22no—
1641C4—24no—
1642C4—41no—
1643C4—42no—
1644C4—42no—
1645C4—44no—
1646C4—41no—
1647C4—42no—
1648C4—42no—
1649C4—41no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—44no—
1656C4—44no—
1657C4—42no—
1658C4—42no—
1659C4—41no—
1660C4—42no—
1661C4—41no—
1662C4—44no—
1663C4—41no—
1664C4—41no—
1665C4C2×#55214yes—
1666C4C2×#55214yes—
1667C2—24no—
1668C2—44no—
1669C2—42no—
1670C2—81no—
1671C2C22×#55211yescharacteristic
1672C2#6280511yescharacteristic
1673C2#6285811yescharacteristic
1674C2#6294511yescharacteristic
1675C2#6295811yescharacteristic
1676C2#6299411yescharacteristic
1677C2#6300011yescharacteristic
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. #59495C2semidirect
2. #59492C2semidirect
3. #59298C2semidirect
4. #59293C2semidirect
5. #59291C2semidirect
6. #59225C2semidirect
7. #45331C2semidirect
8. #45253C2semidirect
9. #45178C2semidirect
10. #45017C2semidirect
11. #43669C2semidirect
12. #43266C2semidirect
13. #38930C2semidirect
14. #38927C2semidirect
15. #38279C2semidirect
16. #38274C2semidirect
17. #38273C2semidirect
18. #38272C2semidirect
19. #36372C2semidirect
20. #36287C2semidirect
21. #35544C2semidirect
22. #35543C2semidirect
23. #35532C2semidirect
25. #35286C2semidirect
26. #35265C2semidirect
27. #35253C2semidirect
28. C2×#2497C2semidirect
30. #34271C2semidirect
31. #34253C2semidirect
32. #34250C2semidirect
34. #34109C2semidirect
35. #34060C2semidirect
42. #2864C22semidirect
43. #2859C22semidirect
44. #2859C22semidirect
45. #2859C22semidirect
48. #2794C22semidirect
50. #2787C22semidirect
53. #2774C22semidirect
56. #2771C22semidirect
58. #2769C22semidirect
60. #2767C22semidirect
61. #2767C22semidirect
62. #2766C22semidirect
63. #2765C22semidirect
66. #2738C22semidirect
67. #2738C22semidirect
71. #2690C22semidirect
72. #2647C22semidirect
73. #2647C22semidirect
74. #2647C22semidirect
75. #2647C22semidirect
78. #2612C22semidirect
79. #2612C22semidirect
82. #2590C22semidirect
84. #2575C22semidirect
85. #2573C22semidirect
86. #2571C22semidirect
87. #2571C22semidirect
88. #2571C22semidirect
89. #2570C22semidirect
90. #2570C22semidirect
91. #2567C22semidirect
92. #2566C22semidirect
93. #2565C22semidirect
97. #2552C22semidirect
98. #2552C22semidirect
99. #2552C22semidirect
100. #2542C22semidirect
102. #2533C22semidirect
103. #2530C22semidirect
105. #2528C22semidirect
107. #2524C22semidirect
108. #2524C22semidirect
111. #2509C22semidirect
112. #2509C22semidirect
113. #2508C22semidirect
114. #2508C22semidirect
115. #2507C22semidirect
116. #2507C22semidirect
117. #2506C22semidirect
118. #2506C22semidirect
119. #2506C22semidirect
122. #2503C22semidirect
147. #2475C22semidirect
148. #2475C22semidirect
151. #2473C22semidirect
153. #2462C22semidirect
162. #2441C22semidirect
163. #2441C22semidirect
165. #2440C22semidirect
166. #2440C22semidirect
169. #2438C22semidirect
180. #2421C22semidirect
196. #2370C22semidirect
197. #2370C22semidirect
198. #2370C22semidirect
199. #2370C22semidirect
200. #2370C22semidirect
201. #2369C22semidirect
202. #2369C22semidirect
203. #2365C22semidirect
204. #2365C22semidirect
213. #2351C22semidirect
214. Q8×C4⋊C4C22semidirect
216. #2349C22semidirect
219. D4×C4⋊C4C22semidirect
222. #2347C22semidirect
226. #2346C22semidirect
229. #2345C22semidirect
232. #2344C22semidirect
235. #2343C22semidirect
241. #2320C22semidirect
242. #2320C22semidirect
243. #2319C22semidirect
244. #2319C22semidirect
252. #2317C22semidirect
256. #2316C22semidirect
257. #2314C22semidirect
258. #2314C22semidirect
272. #2296C22semidirect
273. #2295C22semidirect
274. #2295C22semidirect
275. #2293C22semidirect
276. #2293C22semidirect
279. C2×#389C22semidirect
284. #2285C22semidirect
287. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#594952
#594922
#592982
#592932
#592912
#592252
#453312
#452532
#451782
#450172
#436692
#432662
#389302
#389272
#382792
#382742
#382732
#382722
#363722
#362872
#355442
#355432
#355322
#355162
#352862
#352652
#352532
C2×#24972
#347422
#342712
#342532
#342502
#342022
#341092
#340602