Finite Group Databasebeta

← #7644409

Subgroups — #7644409

Order 512.

4878 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42902C212yesmaximal, complemented
2#42897C212yesmaximal, complemented
3#42873C212yesmaximal, complemented
4#42845C212yesmaximal, complemented
5#42612C212yesmaximal, complemented
6#42580C212yesmaximal, complemented
7#42551C212yesmaximal, complemented
8#42536C212yesmaximal, complemented
9#40812C214yesmaximal, complemented
10#40791C214yesmaximal, complemented
11#40732C214yesmaximal, complemented
12#40700C214yesmaximal, complemented
13#37511C212yesmaximal, complemented
14#37508C212yesmaximal, complemented
15#37505C212yesmaximal, complemented
16#37502C212yesmaximal, complemented
17#37370C212yesmaximal, complemented
18#37360C212yesmaximal, complemented
19#37339C212yesmaximal, complemented
20#37330C212yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35575C211yesmaximal, characteristic, complemented
23#35545C211yesmaximal, characteristic, complemented
24#35541C211yesmaximal, characteristic, complemented
25#35533C211yesmaximal, characteristic
26#35531C211yesmaximal, characteristic, complemented
27#35529C211yesmaximal, characteristic, complemented
28#35517C211yesmaximal, characteristic, complemented
29#35257C211yesmaximal, characteristic, complemented
30#35254C211yesmaximal, characteristic, complemented
31#34638C211yesmaximal, characteristic, complemented
32C2×#2644C211yesmaximal, characteristic, complemented
33#34269C211yesmaximal, characteristic, complemented
34#34250C211yesmaximal, characteristic, complemented
35#34070C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#518C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2857C2212yescomplemented
46#2854C2212yes—
47#2854C2212yes—
48#2851C2212yescomplemented
49#2838C2214yescomplemented
50#2837C2214yescomplemented
51#2837C2214yescomplemented
52#2836C2214yescomplemented
53#2827C2214yescomplemented
54#2827C2214yescomplemented
55#2826C2214yescomplemented
56#2824C2214yescomplemented
57#2798C2214yescomplemented
58#2796C2214yescomplemented
59#2796C2214yescomplemented
60#2793C2214yescomplemented
61#2790C2214yescomplemented
62#2787C2214yescomplemented
63#2783C2214yescomplemented
64#2782C2214yescomplemented
65#2781C2214yescomplemented
66#2775C2214yescomplemented
67#2771C2214yescomplemented
68#2757C2214yescomplemented
69#2750C2214yescomplemented
70#2746C2214yescomplemented
71#2744C2214yescomplemented
72#2740C2214yescomplemented
73#2732C2214yescomplemented
74#2728C2214yescomplemented
75#2724C2214yescomplemented
76#2718C2214yescomplemented
77#2708C2214yescomplemented
78#2708C2214yescomplemented
79#2707C2214yescomplemented
80#2706C2214yescomplemented
81#2696C2214yescomplemented
82#2694C2214yescomplemented
83#2693C2214yescomplemented
84#2693C2214yescomplemented
85#2691C2214yescomplemented
86#2687C2214yescomplemented
87#2681C2214yescomplemented
88#2680C2214yescomplemented
89#2667C2214yescomplemented
90#2663C2214yescomplemented
91#2654C2214yescomplemented
92#2652C2214yescomplemented
93#2651C2214yescomplemented
94#2651C2214yescomplemented
95#2650C2214yescomplemented
96#2649C2214yescomplemented
97#2647C2211yescharacteristic, complemented
98#2647C2211yescharacteristic, complemented
99#2647C2211yescharacteristic, complemented
100#2647C2211yescharacteristic, complemented
101#2647C2211yescharacteristic, complemented
102#2647C2211yescharacteristic, complemented
103#2647C2211yescharacteristic, complemented
104#2647C2211yescharacteristic, complemented
105#2646C2212yes—
106#2646C2212yes—
107#2646C2212yes—
108#2646C2212yes—
109#2644C2212yes—
110#2644C2212yes—
111#2644C2212yes—
112#2644C2212yes—
113#2644C2212yes—
114#2644C2212yes—
115#2644C2212yes—
116#2644C2212yes—
117#2643C2214yescomplemented
118#2639C2214yescomplemented
119#2638C2214yescomplemented
120#2636C2214yescomplemented
121#2633C2214yescomplemented
122#2630C2214yescomplemented
123#2629C2212yescomplemented
124#2628C2212yescomplemented
125#2624C2212yes—
126#2624C2212yes—
127#2623C2214yescomplemented
128#2618C2214yescomplemented
129#2577C2214yescomplemented
130#2575C2214yescomplemented
131#2569C2214yes—
132#2566C2212yes—
133#2566C2212yes—
134#2564C2214yes—
135#2563C2212yes—
136#2560C2214yescomplemented
137#2558C2214yescomplemented
138#2548C2212yes—
139#2545C2212yes—
140#2544C2212yes—
141#2542C2212yes—
142#2541C2212yes—
143#2514C2212yescomplemented
144#2513C2212yescomplemented
145#2512C2212yescomplemented
146#2511C2212yescomplemented
147#2510C2214yes—
148#2509C2212yescomplemented
149#2509C2212yescomplemented
150#2508C2212yescomplemented
151#2508C2212yescomplemented
152#2507C2212yescomplemented
153#2507C2212yescomplemented
154#2506C2212yescomplemented
155#2506C2212yescomplemented
156#2504C2212yes—
157#2501C2212yes—
158#2500C2212yes—
159#2500C2212yes—
160#2497C2212yescomplemented
161#2496C2212yescomplemented
162#2495C2212yescomplemented
163#2494C2212yescomplemented
164#2487C2212yescomplemented
165#2486C2212yescomplemented
166#2485C2212yescomplemented
167#2485C2212yescomplemented
168#2481C2214yes—
169#2454C2212yes—
170#2454C2212yes—
171#2454C2212yescomplemented
172#2454C2212yescomplemented
173#2453C2212yescomplemented
174#2453C2212yescomplemented
175#2452C2212yes—
176#2452C2212yes—
177#2452C2212yescomplemented
178#2452C2212yescomplemented
179#2451C2212yescomplemented
180#2451C2212yescomplemented
181#2450C2214yes—
182#2449C2214yes—
183#2449C2214yescomplemented
184#2448C2212yes—
185#2448C2212yes—
186#2448C2212yes—
187#2448C2212yes—
188#2448C2212yescomplemented
189#2447C2212yes—
190#2447C2212yes—
191#2447C2212yescomplemented
192#2446C2212yescomplemented
193#2445C2212yes—
194#2445C2212yes—
195#2445C2212yes—
196#2445C2212yes—
197#2445C2212yes—
198#2445C2212yes—
199#2445C2212yescomplemented
200#2444C2214yes—
201#2443C2214yes—
202#2443C2214yescomplemented
203#2442C2214yes—
204#2442C2212yescomplemented
205#2441C2212yescomplemented
206#2440C2212yescomplemented
207#2439C2212yescomplemented
208#2437C2214yes—
209#2437C2214yes—
210#2425C2214yescomplemented
211#2424C2214yes—
212#2424C2214yes—
213#2422C2212yes—
214#2422C2212yes—
215#2420C2212yes—
216#2420C2212yes—
217#2419C2214yescomplemented
218#2418C2214yes—
219#2418C2214yes—
220#2418C2214yes—
221#2418C2214yes—
222#2417C2214yes—
223#2416C2212yes—
224#2416C2212yes—
225#2414C2212yes—
226#2414C2212yes—
227#2412C2214yes—
228#2412C2214yes—
229#2402C2212yescomplemented
230#2402C2212yescomplemented
231#2402C2212yescomplemented
232#2402C2212yescomplemented
233C2×#397C2212yes—
234C2×#397C2212yes—
235C2×#397C2212yes—
236C2×#396C2212yes—
237#2367C2212yes—
238#2367C2212yes—
239#2366C2212yes—
240#2366C2212yes—
241#2358C2214yes—
242#2358C2214yes—
243#2351C2212yescomplemented
244Q8×C4⋊C4C2212yescomplemented
245#2349C2214yes—
246#2349C2212yescomplemented
247D4×C4⋊C4C2214yes—
248D4×C4⋊C4C2212yescomplemented
249#2328C2211yescharacteristic, complemented
250#2328C2211yescharacteristic, complemented
251#2327C2211yescharacteristic, complemented
252#2327C2211yescharacteristic, complemented
253#2326C2211yescharacteristic, complemented
254#2326C2211yescharacteristic, complemented
255#2326C2211yescharacteristic, complemented
256#2326C2211yescharacteristic, complemented
257#2325C2212yes—
258#2325C2212yes—
259#2325C2212yes—
260#2325C2212yes—
261#2324C2212yes—
262#2324C2212yes—
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2212yescomplemented
266#2316C2211yescharacteristic
267#2316C2211yescharacteristic
268#2316C2212yescomplemented
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2309C2211yescharacteristic
274C4×#121C2212yes—
275C4×#121C2212yes—
276#2297C2211yescharacteristic
277#2297C2211yescharacteristic
278#2296C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2212yescomplemented
283C2×#390C2211yescharacteristic
284C2×#390C2211yescharacteristic
285C2×#390C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#389C2212yescomplemented
290#2290C2212yescomplemented
291#2290C2212yescomplemented
292#2290C2212yescomplemented
293#2290C2212yescomplemented
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×#376C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302#544—44no—
303#535—28no—
304#535—44no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311C2×#127C2312yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#124C2311yescharacteristic
317C2×#124C2311yescharacteristic
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342#520—28no—
343#520—44no—
344#518—44no—
345C4×#41—44no—
346C4×#41—44no—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2314yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C22⋊C4C2314yes—
393C22×C22⋊C4C2312yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2312yes—
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2312yes—
403C22×C42C2312yes—
404#401C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#400C2312yes—
429#400C2312yes—
430#400C2312yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2312yes—
454#398C2312yes—
455#398C2312yes—
456#398C2312yes—
457#398C2312yes—
458#398C2312yes—
459#398C2312yes—
460#398C2312yes—
461#398C2312yes—
462#398C2312yes—
463#398C2312yes—
464#398C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#395C2314yes—
507#395C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#392C2314yes—
531#392C2314yes—
532#391C2314yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2311yescharacteristic
538#391C2311yescharacteristic
539#391C2311yescharacteristic
540#391C2311yescharacteristic
541#391C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2314yes—
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2311yescharacteristic
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2314yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#385C2314yes—
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2312yes—
733#384C2314yes—
734#384C2311yescharacteristic
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2311yescharacteristic
738#384C2311yescharacteristic
739#383C2314yes—
740#382C2311yescharacteristic
741#382C2312yes—
742#382C2311yescharacteristic
743#382C2312yes—
744#382C2314yes—
745#382C2314yes—
746#382C2311yescharacteristic
747#382C2311yescharacteristic
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#381C2314yes—
751#381C2314yes—
752#381C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2312yes—
770#380C2314yes—
771#380C2314yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#379C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2311yescharacteristic
804#376C2311yescharacteristic
805#376C2311yescharacteristic
806#376C2311yescharacteristic
807#376C2311yescharacteristic
808#376C2311yescharacteristic
809#376C2311yescharacteristic
810#376C2311yescharacteristic
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2311yescharacteristic
815C2×#95C2311yescharacteristic
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2314yes—
819C25C2412yes—
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×D4—24no—
830C22×D4—24no—
831C22×D4—24no—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C4⋊Q8—24no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867#127—24no—
868#127—28no—
869#127—44no—
870#126—84no—
871#125—44no—
872#125—44no—
873#125—84no—
874#124—24no—
875#124—28no—
876#124—24no—
877#124—44no—
878#123—84no—
879#123—84no—
880#123—84no—
881#123—84no—
882#123—84no—
883#123—84no—
884#123—84no—
885C22⋊Q8—48no—
886C22⋊Q8—84no—
887C22⋊Q8—84no—
888C22⋊Q8—84no—
889C22⋊Q8—84no—
890#121—28no—
891#121—28no—
892#121—28no—
893#121—28no—
894#121—44no—
895#121—44no—
896#121—84no—
897#121—84no—
898#120—216no—
899#120—48no—
900C4×Q8—28no—
901C4×Q8—42no—
902C4×Q8—42no—
903C4×Q8—42no—
904C4×Q8—42no—
905C4×Q8—44no—
906C4×D4—216no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—42no—
911C4×D4—42no—
912C4×D4—42no—
913C4×D4—42no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—48no—
924C4×D4—84no—
925C4×D4—84no—
926#117—28no—
927#117—24no—
928#117—24no—
929#117—24no—
930#117—24no—
931#117—24no—
932#117—24no—
933#117—44no—
934#117—44no—
935#117—44no—
936C2×C4⋊C4—28no—
937C2×C4⋊C4—24no—
938C2×C4⋊C4—24no—
939C2×C4⋊C4—24no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4—82no—
942C2×C4⋊C4—84no—
943C2×C4⋊C4—82no—
944C2×C4⋊C4—82no—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C22⋊C4—48no—
1017C2×C22⋊C4—82no—
1018C2×C22⋊C4—82no—
1019C2×C22⋊C4—82no—
1020C2×C22⋊C4—82no—
1021C2×C22⋊C4—82no—
1022C2×C22⋊C4—82no—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C42—24no—
1078C2×C42—24no—
1079C2×C42—24no—
1080C2×C42—44no—
1081C2×C42—44no—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184C24—24no—
1185C24—24no—
1186C24—24no—
1187C24—42no—
1188C24—42no—
1189C24—42no—
1190C24—42no—
1191C24C2514yes—
1192C24C2512yes—
1193C24C2512yes—
1194C24C2511yescharacteristic
1195#41—232no—
1196#41—416no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8C2×#4114yes—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—416no—
1241C2×D4C2×#4118yes—
1242C2×D4C2×#4114yes—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—28no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—41no—
1275C22×C4—42no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—44no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—44no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—41no—
1287C22×C4—42no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4C2×#4118yes—
1300C22×C4C2×#4114yes—
1301C22×C4H(5,𝔽2)14yes—
1302C22×C42−1+414yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2514yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2514yes—
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—28no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C22⋊C4—28no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—28no—
1464C42—24no—
1465C42—24no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—24no—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—22no—
1478C42—42no—
1479C42—42no—
1480C42—42no—
1481C42—42no—
1482C42—44no—
1483C42—44no—
1484C42—44no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—24no—
1497C23—24no—
1498C23—22no—
1499C23—22no—
1500C23—24no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—24no—
1505C23—24no—
1506C23—24no—
1507C23—22no—
1508C23—24no—
1509C23—48no—
1510C23—84no—
1511C23—84no—
1512C23—84no—
1513C23—84no—
1514C23—84no—
1515C23—84no—
1516C23C22×#4114yes—
1517C23C22×#4112yes—
1518C23C2×H(5,𝔽2)12yes—
1519C23C2×2−1+412yes—
1520C23C2611yescharacteristic
1521Q8—28no—
1522Q8—44no—
1523Q8—164no—
1524D4—216no—
1525D4—28no—
1526D4—48no—
1527D4—48no—
1528D4—48no—
1529D4—44no—
1530D4—84no—
1531D4—88no—
1532D4—84no—
1533D4—88no—
1534D4—164no—
1535D4—164no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—216no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—48no—
1624C2×C4—82no—
1625C2×C4—82no—
1626C2×C4—84no—
1627C2×C4—88no—
1628C2×C4—82no—
1629C2×C4—82no—
1630C2×C4—82no—
1631C2×C4—84no—
1632C2×C4—82no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4—84no—
1636C2×C4—84no—
1637C2×C4—84no—
1638C2×C4—164no—
1639C2×C4—164no—
1640C2×C4—164no—
1641C2×C4#539116yes—
1642C2×C4C22×#4114yes—
1643C2×C4C22×#4112yes—
1644C2×C4C22×#4112yes—
1645C2×C4C2×H(5,𝔽2)12yes—
1646C2×C4C2×H(5,𝔽2)12yes—
1647C2×C4C2×2−1+412yes—
1648C2×C4C2×2−1+412yes—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—24no—
1656C22—24no—
1657C22—24no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—44no—
1664C22—42no—
1665C22—44no—
1666C22—42no—
1667C22—44no—
1668C22—42no—
1669C22—44no—
1670C22—42no—
1671C22—44no—
1672C22—42no—
1673C22—44no—
1674C22—42no—
1675C22—44no—
1676C22—168no—
1677C22C2×#53914yes—
1678C22C23×#4111yescharacteristic
1679C22C22×H(5,𝔽2)11yescharacteristic
1680C22C22×2−1+411yescharacteristic
1681C22H(7,𝔽2)11yescharacteristic
1682C22H(7,𝔽2)11yescharacteristic
1683C22H(7,𝔽2)11yescharacteristic
1684C222−1+611yescharacteristic
1685C4—24no—
1686C4—42no—
1687C4—41no—
1688C4—41no—
1689C4—42no—
1690C4—41no—
1691C4—42no—
1692C4—44no—
1693C4—41no—
1694C4—42no—
1695C4—42no—
1696C4—41no—
1697C4—41no—
1698C4—42no—
1699C4—42no—
1700C4—42no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—42no—
1706C4—44no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—41no—
1711C4—41no—
1712C4—44no—
1713C4—42no—
1714C4C2×#53914yes—
1715C4C2×#53914yes—
1716C2—24no—
1717C2—44no—
1718C2—82no—
1719C2—84no—
1720C2C22×#53911yescharacteristic
1721C2#6285711yescharacteristic
1722C2#6285811yescharacteristic
1723C2#6287811yescharacteristic
1724C2#6287911yescharacteristic
1725C2#6288011yescharacteristic
1726C2#6288111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35533C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42902C2semidirect
2. #42897C2semidirect
3. #42873C2semidirect
4. #42845C2semidirect
5. #42612C2semidirect
6. #42580C2semidirect
7. #42551C2semidirect
8. #42536C2semidirect
9. #40812C2semidirect
10. #40791C2semidirect
11. #40732C2semidirect
12. #40700C2semidirect
13. #37511C2semidirect
14. #37508C2semidirect
15. #37505C2semidirect
16. #37502C2semidirect
17. #37370C2semidirect
18. #37360C2semidirect
19. #37339C2semidirect
20. #37330C2semidirect
21. #35585C2semidirect
22. #35575C2semidirect
23. #35545C2semidirect
24. #35541C2semidirect
26. #35531C2semidirect
27. #35529C2semidirect
28. #35517C2semidirect
29. #35257C2semidirect
30. #35254C2semidirect
31. #34638C2semidirect
32. C2×#2644C2semidirect
33. #34269C2semidirect
34. #34250C2semidirect
35. #34070C2semidirect
45. #2857C22semidirect
48. #2851C22semidirect
49. #2838C22semidirect
50. #2837C22semidirect
51. #2837C22semidirect
52. #2836C22semidirect
53. #2827C22semidirect
54. #2827C22semidirect
55. #2826C22semidirect
56. #2824C22semidirect
57. #2798C22semidirect
58. #2796C22semidirect
59. #2796C22semidirect
60. #2793C22semidirect
61. #2790C22semidirect
62. #2787C22semidirect
63. #2783C22semidirect
64. #2782C22semidirect
65. #2781C22semidirect
66. #2775C22semidirect
67. #2771C22semidirect
68. #2757C22semidirect
69. #2750C22semidirect
70. #2746C22semidirect
71. #2744C22semidirect
72. #2740C22semidirect
73. #2732C22semidirect
74. #2728C22semidirect
75. #2724C22semidirect
76. #2718C22semidirect
77. #2708C22semidirect
78. #2708C22semidirect
79. #2707C22semidirect
80. #2706C22semidirect
81. #2696C22semidirect
82. #2694C22semidirect
83. #2693C22semidirect
84. #2693C22semidirect
85. #2691C22semidirect
86. #2687C22semidirect
87. #2681C22semidirect
88. #2680C22semidirect
89. #2667C22semidirect
90. #2663C22semidirect
91. #2654C22semidirect
92. #2652C22semidirect
93. #2651C22semidirect
94. #2651C22semidirect
95. #2650C22semidirect
96. #2649C22semidirect
97. #2647C22semidirect
98. #2647C22semidirect
99. #2647C22semidirect
100. #2647C22semidirect
101. #2647C22semidirect
102. #2647C22semidirect
103. #2647C22semidirect
104. #2647C22semidirect
117. #2643C22semidirect
118. #2639C22semidirect
119. #2638C22semidirect
120. #2636C22semidirect
121. #2633C22semidirect
122. #2630C22semidirect
123. #2629C22semidirect
124. #2628C22semidirect
127. #2623C22semidirect
128. #2618C22semidirect
129. #2577C22semidirect
130. #2575C22semidirect
136. #2560C22semidirect
137. #2558C22semidirect
143. #2514C22semidirect
144. #2513C22semidirect
145. #2512C22semidirect
146. #2511C22semidirect
148. #2509C22semidirect
149. #2509C22semidirect
150. #2508C22semidirect
151. #2508C22semidirect
152. #2507C22semidirect
153. #2507C22semidirect
154. #2506C22semidirect
155. #2506C22semidirect
160. #2497C22semidirect
161. #2496C22semidirect
162. #2495C22semidirect
163. #2494C22semidirect
164. #2487C22semidirect
165. #2486C22semidirect
166. #2485C22semidirect
167. #2485C22semidirect
171. #2454C22semidirect
172. #2454C22semidirect
173. #2453C22semidirect
174. #2453C22semidirect
177. #2452C22semidirect
178. #2452C22semidirect
179. #2451C22semidirect
180. #2451C22semidirect
183. #2449C22semidirect
188. #2448C22semidirect
191. #2447C22semidirect
192. #2446C22semidirect
199. #2445C22semidirect
202. #2443C22semidirect
204. #2442C22semidirect
205. #2441C22semidirect
206. #2440C22semidirect
207. #2439C22semidirect
210. #2425C22semidirect
217. #2419C22semidirect
229. #2402C22semidirect
230. #2402C22semidirect
231. #2402C22semidirect
232. #2402C22semidirect
243. #2351C22semidirect
244. Q8×C4⋊C4C22semidirect
246. #2349C22semidirect
248. D4×C4⋊C4C22semidirect
249. #2328C22semidirect
250. #2328C22semidirect
251. #2327C22semidirect
252. #2327C22semidirect
253. #2326C22semidirect
254. #2326C22semidirect
255. #2326C22semidirect
256. #2326C22semidirect
265. #2317C22semidirect
268. #2316C22semidirect
282. #2296C22semidirect
289. C2×#389C22semidirect
290. #2290C22semidirect
291. #2290C22semidirect
292. #2290C22semidirect
293. #2290C22semidirect

Maximal subgroups

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

subgroupindex
#429022
#428972
#428732
#428452
#426122
#425802
#425512
#425362
#408122
#407912
#407322
#407002
#375112
#375082
#375052
#375022
#373702
#373602
#373392
#373302
#355852
#355752
#355452
#355412
#355332
#355312
#355292
#355172
#352572
#352542
#346382
C2×#26442
#342692
#342502
#340702