Finite Group Databasebeta

← #7650156

Subgroups — #7650156

Order 512.

5074 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42939C212yesmaximal, complemented
2#42939C212yesmaximal, complemented
3#42865C212yesmaximal, complemented
4#42849C212yesmaximal, complemented
5#42615C212yesmaximal, complemented
6#42577C212yesmaximal, complemented
7#42521C212yesmaximal, complemented
8#42516C212yesmaximal, complemented
9#40782C214yesmaximal, complemented
10#40724C214yesmaximal, complemented
11#40124C212yesmaximal, complemented
12#40077C212yesmaximal, complemented
13#40029C212yesmaximal, complemented
14#40028C212yesmaximal, complemented
15#39658C212yesmaximal, complemented
16#39639C212yesmaximal, complemented
17#39400C212yesmaximal, complemented
18#39384C212yesmaximal, complemented
19#38597C214yesmaximal, complemented
20#37717C214yesmaximal, complemented
21#35557C211yesmaximal, characteristic, complemented
22#35555C211yesmaximal, characteristic, complemented
23#35530C211yesmaximal, characteristic, complemented
24#35530C211yesmaximal, characteristic, complemented
25#35519C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#35280C211yesmaximal, characteristic, complemented
28#35273C211yesmaximal, characteristic
29#35160C211yesmaximal, characteristic, complemented
30C2×#2552C211yesmaximal, characteristic, complemented
31#34745C211yesmaximal, characteristic, complemented
32#34744C211yesmaximal, characteristic, complemented
33#34274C211yesmaximal, characteristic, complemented
34#34267C211yesmaximal, characteristic, complemented
35#34250C211yesmaximal, characteristic, complemented
36C2×#539C2214yes—
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C22×#125C2212yes—
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47#2857C2212yes—
48#2857C2212yes—
49#2857C2212yes—
50#2856C2212yes—
51#2852C2214yes—
52#2836C2214yes—
53#2836C2214yes—
54#2827C2214yes—
55#2827C2214yes—
56#2809C2214yes—
57#2802C2214yes—
58#2802C2214yes—
59#2793C2214yes—
60#2790C2214yes—
61#2787C2214yes—
62#2783C2214yes—
63#2775C2214yes—
64#2770C2214yes—
65#2765C2214yes—
66#2747C2214yes—
67#2744C2214yes—
68#2732C2214yes—
69#2727C2214yes—
70#2726C2214yes—
71#2721C2214yes—
72#2720C2214yes—
73#2711C2214yes—
74#2708C2214yes—
75#2707C2214yes—
76#2707C2214yes—
77#2695C2214yes—
78#2695C2214yes—
79#2694C2214yes—
80#2694C2214yes—
81#2694C2214yes—
82#2694C2214yes—
83#2691C2214yes—
84#2690C2214yes—
85#2687C2214yes—
86#2687C2214yes—
87#2681C2214yes—
88#2667C2214yes—
89#2667C2214yes—
90#2664C2214yes—
91#2664C2214yes—
92#2655C2214yes—
93#2653C2214yes—
94#2651C2214yes—
95#2649C2214yes—
96#2646C2214yes—
97#2643C2214yes—
98#2638C2214yes—
99#2633C2214yes—
100#2629C2212yes—
101#2629C2212yes—
102#2620C2212yes—
103#2620C2212yes—
104#2618C2214yes—
105#2590C2214yes—
106#2588C2214yes—
107#2582C2212yes—
108#2582C2212yes—
109#2582C2212yes—
110#2581C2212yes—
111#2580C2212yes—
112#2570C2212yes—
113#2570C2212yes—
114#2560C2214yes—
115#2558C2214yes—
116#2556C2214yes—
117#2556C2214yes—
118#2552C2212yes—
119#2552C2212yes—
120#2552C2212yes—
121#2552C2212yes—
122#2552C2212yes—
123#2552C2212yes—
124#2552C2212yes—
125#2552C2212yes—
126#2552C2212yes—
127#2552C2212yes—
128#2538C2212yes—
129#2538C2212yes—
130#2538C2212yes—
131#2538C2212yes—
132#2538C2212yes—
133#2537C2212yes—
134#2537C2212yes—
135#2514C2212yes—
136#2513C2212yes—
137#2512C2212yes—
138#2512C2212yes—
139#2512C2212yes—
140#2511C2212yes—
141#2511C2212yes—
142#2511C2212yes—
143#2507C2212yes—
144#2507C2212yes—
145#2506C2212yes—
146#2506C2212yes—
147#2502C2212yes—
148#2502C2212yes—
149#2501C2212yes—
150#2501C2212yes—
151#2500C2212yes—
152#2500C2212yes—
153#2499C2212yes—
154#2499C2212yes—
155#2497C2212yes—
156#2497C2212yes—
157#2497C2212yes—
158#2496C2212yes—
159#2496C2212yes—
160#2496C2212yes—
161#2495C2212yes—
162#2494C2212yes—
163#2487C2212yes—
164#2486C2212yes—
165#2485C2212yes—
166#2485C2212yes—
167#2481C2214yes—
168#2481C2214yes—
169#2473C2214yes—
170#2473C2214yes—
171#2473C2214yes—
172#2473C2214yes—
173#2466C2214yes—
174#2460C2214yes—
175#2454C2211yescharacteristic
176#2454C2211yescharacteristic
177#2453C2211yescharacteristic
178#2453C2211yescharacteristic
179#2452C2211yescharacteristic
180#2452C2211yescharacteristic
181#2451C2211yescharacteristic
182#2451C2211yescharacteristic
183#2450C2212yes—
184#2450C2212yes—
185#2450C2214yes—
186#2449C2214yes—
187#2449C2212yes—
188#2449C2212yes—
189#2448C2212yes—
190#2448C2211yescharacteristic
191#2448C2211yescharacteristic
192#2447C2211yescharacteristic
193#2447C2212yes—
194#2447C2211yescharacteristic
195#2446C2211yescharacteristic
196#2446C2212yes—
197#2446C2211yescharacteristic
198#2445C2211yescharacteristic
199#2445C2212yes—
200#2445C2211yescharacteristic
201#2444C2212yes—
202#2444C2214yes—
203#2444C2212yes—
204#2443C2214yes—
205#2443C2214yes—
206#2443C2214yes—
207#2443C2214yes—
208#2443C2212yes—
209#2443C2214yes—
210#2443C2212yes—
211#2442C2212yes—
212#2441C2212yes—
213#2440C2212yes—
214#2439C2212yes—
215#2425C2214yes—
216#2425C2214yes—
217#2423C2212yes—
218#2423C2212yes—
219#2423C2212yes—
220#2423C2212yes—
221#2422C2212yes—
222#2422C2212yes—
223#2422C2212yes—
224#2422C2212yes—
225#2417C2214yes—
226#2417C2214yes—
227#2416C2214yes—
228#2416C2214yes—
229#2396C2212yes—
230#2396C2212yes—
231#2395C2212yes—
232#2395C2212yes—
233C2×#398C2212yes—
234C2×#398C2212yes—
235#2364C2214yes—
236#2363C2212yes—
237#2363C2212yes—
238#2363C2212yes—
239#2362C2212yes—
240#2362C2212yes—
241#2362C2212yes—
242#2361C2214yes—
243#2361C2212yes—
244#2361C2212yes—
245#2361C2212yes—
246#2360C2212yes—
247#2360C2212yes—
248#2360C2212yes—
249#2351C2212yes—
250Q8×C4⋊C4C2212yes—
251#2349C2214yes—
252#2349C2212yes—
253D4×C4⋊C4C2214yes—
254D4×C4⋊C4C2212yes—
255#2336C2214yes—
256#2335C2214yes—
257#2329C2214yes—
258#2325C2214yes—
259#2324C2212yes—
260#2323C2212yes—
261#2317C2212yes—
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2316C2212yes—
266#2316C2211yescharacteristic
267#2316C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×#123C2212yes—
277C4×#123C2212yes—
278C4×#121C2214yes—
279C4×#121C2212yes—
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2212yes—
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#389C2212yes—
292C2×#389C2212yes—
293C2×#384C2211yescharacteristic
294C2×#384C2211yescharacteristic
295C2×#384C2211yescharacteristic
296#2274C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302#539—416no—
303#537—28no—
304#537—28no—
305#533—44no—
306#532—44no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2311yescharacteristic
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125—48no—
315C2×#125C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#124C2311yescharacteristic
324C2×#124C2311yescharacteristic
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353#520—28no—
354#520—44no—
355#520—44no—
356C4×#41—44no—
357C4×#41—44no—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2314yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2312yes—
417C22×C42C2312yes—
418C22×C42C2312yes—
419#401C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2312yes—
433#400C2314yes—
434#400C2312yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2312yes—
440#399C2312yes—
441#399C2312yes—
442#399C2312yes—
443#399C2314yes—
444#399C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2312yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2312yes—
469#398C2312yes—
470#398C2312yes—
471#398C2312yes—
472#398C2312yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2312yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2312yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2312yes—
493#397C2312yes—
494#396C2312yes—
495#396C2312yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2312yes—
508#396C2312yes—
509#396C2314yes—
510#396C2314yes—
511#395C2314yes—
512#395C2312yes—
513#395C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2312yes—
524#394C2312yes—
525#394C2312yes—
526#394C2314yes—
527#394C2314yes—
528#393C2314yes—
529#393C2312yes—
530#393C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2311yescharacteristic
538#391C2311yescharacteristic
539#391C2311yescharacteristic
540#391C2314yes—
541#391C2314yes—
542#391C2314yes—
543#391C2312yes—
544#391C2311yescharacteristic
545#391C2311yescharacteristic
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2314yes—
559#390C2311yescharacteristic
560#390C2314yes—
561#390C2311yescharacteristic
562#390C2311yescharacteristic
563#390C2311yescharacteristic
564#390C2314yes—
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2312yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2314yes—
606#389C2312yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2312yes—
611#389C2314yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2312yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2312yes—
714#385C2314yes—
715#385C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2312yes—
733#384C2314yes—
734#384C2312yes—
735#384C2312yes—
736#384C2312yes—
737#384C2312yes—
738#384C2312yes—
739#384C2312yes—
740#384C2312yes—
741#384C2312yes—
742#384C2312yes—
743#384C2312yes—
744#384C2312yes—
745#383C2314yes—
746#382C2312yes—
747#382C2312yes—
748#382C2312yes—
749#382C2314yes—
750#381C2312yes—
751#381C2312yes—
752#381C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2314yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C2×#95C2312yes—
816C2×#95C2314yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2311yescharacteristic
820C2×#95C2311yescharacteristic
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41#4118yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2411yescharacteristic
866C4⋊Q8—42no—
867C4⋊Q8—42no—
868C4⋊Q8—42no—
869#127—42no—
870#126—48no—
871#126—48no—
872#126—84no—
873#125—216no—
874#125—48no—
875#125—42no—
876#125—42no—
877#125—48no—
878#125—48no—
879#125—48no—
880#125—84no—
881#124—42no—
882#124—42no—
883#123—28no—
884#123—28no—
885#123—48no—
886#123—48no—
887#123—48no—
888#123—84no—
889#123—84no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—28no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—84no—
901#121—28no—
902#121—28no—
903#121—216no—
904#121—216no—
905#121—28no—
906#121—28no—
907#121—48no—
908#121—44no—
909#121—44no—
910#121—84no—
911C4×Q8—28no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—42no—
915C4×Q8—42no—
916C4×Q8—42no—
917C4×Q8—42no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×D4—28no—
921C4×D4—216no—
922C4×D4—48no—
923C4×D4—42no—
924C4×D4—42no—
925C4×D4—42no—
926C4×D4—42no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—48no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—48no—
937C4×D4—48no—
938#117—28no—
939#117—24no—
940#117—24no—
941#117—24no—
942#117—24no—
943#117—24no—
944#117—44no—
945#117—44no—
946#117—44no—
947#117—44no—
948C2×C4⋊C4—28no—
949C2×C4⋊C4—24no—
950C2×C4⋊C4—24no—
951C2×C4⋊C4—24no—
952C2×C4⋊C4—24no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—24no—
955C2×C4⋊C4—44no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4—44no—
959C2×C4⋊C4—44no—
960C2×C4⋊C4—44no—
961C2×C4⋊C4—44no—
962C2×C4⋊C4—48no—
963C2×C4⋊C4—82no—
964C2×C4⋊C4—82no—
965C2×C4⋊C4—82no—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C42—24no—
1098C2×C42—24no—
1099C2×C42—24no—
1100C2×C42—44no—
1101C2×C42—44no—
1102C2×C42—44no—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2414yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2414yes—
1141#95C2414yes—
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
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#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199C24C2512yes—
1200C24C2512yes—
1201C24C2512yes—
1202C24C2511yescharacteristic
1203#41—232no—
1204#41—416no—
1205#41—416no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—24no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8C2×#4114yes—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—28no—
1230C2×D4—28no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4C2×#4118yes—
1250C2×D4C2×#4114yes—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—28no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—44no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—44no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4C2×#4118yes—
1311C22×C4C2×#4114yes—
1312C22×C4H(5,𝔽2)14yes—
1313C22×C42−1+414yes—
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2514yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2514yes—
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2514yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—28no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—28no—
1355C4⋊C4—28no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—28no—
1365C4⋊C4—28no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—28no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4H(5,𝔽2)14yes—
1425C4⋊C42−1+414yes—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C42—28no—
1477C42—24no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—24no—
1487C42—24no—
1488C42—28no—
1489C42—24no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—24no—
1495C42—42no—
1496C42—42no—
1497C42—42no—
1498C42—42no—
1499C42—44no—
1500C42—44no—
1501C42—44no—
1502C42—44no—
1503C42—44no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23C22×#4114yes—
1529C23C22×#4112yes—
1530C23C2×H(5,𝔽2)12yes—
1531C23C2×2−1+412yes—
1532C23C2611yescharacteristic
1533Q8—28no—
1534Q8—44no—
1535Q8—44no—
1536Q8—84no—
1537Q8—84no—
1538D4—216no—
1539D4—28no—
1540D4—48no—
1541D4—48no—
1542D4—44no—
1543D4—44no—
1544D4—84no—
1545D4—84no—
1546D4—88no—
1547D4—88no—
1548C2×C4—28no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—216no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—48no—
1636C2×C4—48no—
1637C2×C4—84no—
1638C2×C4—84no—
1639C2×C4—84no—
1640C2×C4—84no—
1641C2×C4—84no—
1642C2×C4—88no—
1643C2×C4—84no—
1644C2×C4—84no—
1645C2×C4—84no—
1646C2×C4—164no—
1647C2×C4—164no—
1648C2×C4#539116yescomplemented
1649C2×C4C22×#4114yes—
1650C2×C4C22×#4112yes—
1651C2×C4C22×#4112yes—
1652C2×C4C2×H(5,𝔽2)12yes—
1653C2×C4C2×H(5,𝔽2)12yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C2×C4C2×H(5,𝔽2)12yes—
1656C2×C4C2×H(5,𝔽2)12yes—
1657C2×C4C2×2−1+412yes—
1658C2×C4C2×2−1+412yes—
1659C2×C4C2×2−1+412yes—
1660C2×C4C2×2−1+412yes—
1661C2×C4C2×2−1+412yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—24no—
1669C22—24no—
1670C22—24no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22C2×#53914yes—
1690C22C23×#4111yescharacteristic
1691C22C22×H(5,𝔽2)11yescharacteristic
1692C22C22×H(5,𝔽2)11yescharacteristic
1693C22C22×2−1+411yescharacteristic
1694C22C22×2−1+411yescharacteristic
1695C22H(7,𝔽2)11yescharacteristic
1696C222−1+611yescharacteristic
1697C4—22no—
1698C4—22no—
1699C4—22no—
1700C4—22no—
1701C4—24no—
1702C4—22no—
1703C4—22no—
1704C4—42no—
1705C4—44no—
1706C4—44no—
1707C4—44no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—42no—
1716C4—44no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—41no—
1722C4—41no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4C2×#53914yes—
1727C4C2×#53914yes—
1728C2—24no—
1729C2—44no—
1730C2—82no—
1731C2—82no—
1732C2C22×#53911yescharacteristic
1733C2#6283311yescharacteristic
1734C2#6287711yescharacteristic
1735C2#6291411yescharacteristic
1736C2#6294411yescharacteristic
1737C2#6298611yescharacteristic
1738C2#6300111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35273C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42939C2semidirect
2. #42939C2semidirect
3. #42865C2semidirect
4. #42849C2semidirect
5. #42615C2semidirect
6. #42577C2semidirect
7. #42521C2semidirect
8. #42516C2semidirect
9. #40782C2semidirect
10. #40724C2semidirect
11. #40124C2semidirect
12. #40077C2semidirect
13. #40029C2semidirect
14. #40028C2semidirect
15. #39658C2semidirect
16. #39639C2semidirect
17. #39400C2semidirect
18. #39384C2semidirect
19. #38597C2semidirect
20. #37717C2semidirect
21. #35557C2semidirect
22. #35555C2semidirect
23. #35530C2semidirect
24. #35530C2semidirect
25. #35519C2semidirect
26. #35517C2semidirect
27. #35280C2semidirect
29. #35160C2semidirect
30. C2×#2552C2semidirect
31. #34745C2semidirect
32. #34744C2semidirect
33. #34274C2semidirect
34. #34267C2semidirect
35. #34250C2semidirect
1648. C2×C4#539semidirect

Maximal subgroups

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

subgroupindex
#429392
#428652
#428492
#426152
#425772
#425212
#425162
#407822
#407242
#401242
#400772
#400292
#400282
#396582
#396392
#394002
#393842
#385972
#377172
#355572
#355552
#355302
#355192
#355172
#352802
#352732
#351602
C2×#25522
#347452
#347442
#342742
#342672
#342502