Finite Group Databasebeta

← #7646717

Subgroups — #7646717

Order 512.

4832 conjugacy classes of subgroups.

The subgroup lattice has 1729 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42975C212yesmaximal, complemented
2#42974C212yesmaximal, complemented
3#42935C212yesmaximal, complemented
4#42934C212yesmaximal, complemented
5#41973C214yesmaximal, complemented
6#41971C214yesmaximal, complemented
7#39507C211yesmaximal, characteristic, complemented
8#39505C211yesmaximal, characteristic, complemented
9#39379C211yesmaximal, characteristic, complemented
10#39377C211yesmaximal, characteristic, complemented
11#39194C211yesmaximal, characteristic, complemented
12#39194C211yesmaximal, characteristic, complemented
13#39192C211yesmaximal, characteristic, complemented
14#39191C211yesmaximal, characteristic, complemented
15#37859C212yesmaximal, complemented
16#37857C212yesmaximal, complemented
17#37671C212yesmaximal, complemented
18#37669C212yesmaximal, complemented
19#37573C212yesmaximal, complemented
20#37570C212yesmaximal, complemented
21#36993C214yesmaximal, complemented
22#36990C214yesmaximal, complemented
23#35591C212yesmaximal, complemented
24#35589C212yesmaximal, complemented
25#35294C211yesmaximal, characteristic, complemented
26#35236C211yesmaximal, characteristic, complemented
27#35220C212yesmaximal, complemented
28#35183C212yesmaximal, complemented
29#35164C212yesmaximal, complemented
30#35161C212yesmaximal, complemented
31#34935C211yesmaximal, characteristic, complemented
32#34910C211yesmaximal, characteristic, complemented
33#34242C211yesmaximal, characteristic, complemented
34#34129C211yesmaximal, characteristic, complemented
35#34058C211yesmaximal, characteristic, complemented
36C2×#542C2212yescomplemented
37C2×#541C2212yescomplemented
38C2×#529C2211yescharacteristic
39C2×#525C2212yes—
40C2×C4×#41C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42#2868C2211yescharacteristic, complemented
43#2866C2214yescomplemented
44#2865C2214yescomplemented
45#2861C2214yescomplemented
46#2860C2214yescomplemented
47#2859C2211yescharacteristic, complemented
48#2859C2211yescharacteristic, complemented
49#2859C2211yescharacteristic, complemented
50#2848C2212yes—
51#2847C2212yes—
52#2838C2214yescomplemented
53#2837C2214yescomplemented
54#2829C2214yes—
55#2828C2214yes—
56#2803C2214yescomplemented
57#2803C2214yescomplemented
58#2801C2214yescomplemented
59#2801C2214yescomplemented
60#2800C2214yescomplemented
61#2800C2214yescomplemented
62#2795C2214yescomplemented
63#2772C2214yescomplemented
64#2753C2214yescomplemented
65#2746C2214yes—
66#2745C2214yes—
67#2740C2214yes—
68#2739C2214yes—
69#2736C2214yes—
70#2735C2214yes—
71#2731C2214yescomplemented
72#2725C2214yescomplemented
73#2725C2214yescomplemented
74#2725C2214yescomplemented
75#2718C2214yescomplemented
76#2711C2214yescomplemented
77#2707C2214yes—
78#2705C2214yes—
79#2697C2214yes—
80#2696C2214yes—
81#2694C2214yes—
82#2685C2214yes—
83#2685C2214yes—
84#2685C2214yes—
85#2678C2214yes—
86#2674C2214yescomplemented
87#2670C2214yes—
88#2664C2214yescomplemented
89#2662C2214yes—
90#2662C2214yes—
91#2661C2214yes—
92#2655C2214yescomplemented
93#2654C2214yescomplemented
94#2653C2214yescomplemented
95#2651C2214yes—
96#2649C2214yescomplemented
97#2649C2214yescomplemented
98#2648C2214yescomplemented
99#2648C2214yescomplemented
100#2636C2214yes—
101#2629C2212yes—
102#2629C2212yescomplemented
103#2628C2212yes—
104#2628C2212yescomplemented
105#2625C2212yescomplemented
106#2624C2212yescomplemented
107#2624C2212yescomplemented
108#2624C2212yescomplemented
109#2620C2212yescomplemented
110#2619C2212yescomplemented
111#2602C2212yes—
112#2602C2212yes—
113#2601C2212yescomplemented
114#2601C2212yescomplemented
115#2596C2214yescomplemented
116#2594C2214yescomplemented
117#2593C2214yes—
118#2585C2214yescomplemented
119#2576C2214yescomplemented
120#2575C2214yescomplemented
121#2574C2214yescomplemented
122#2570C2212yescomplemented
123#2570C2212yescomplemented
124#2566C2211yescharacteristic, complemented
125#2565C2211yescharacteristic, complemented
126#2562C2212yes—
127#2560C2214yescomplemented
128#2558C2214yescomplemented
129#2556C2214yescomplemented
130#2554C2214yes—
131#2553C2214yescomplemented
132#2550C2212yescomplemented
133#2550C2212yescomplemented
134#2545C2211yescharacteristic, complemented
135#2544C2211yescharacteristic, complemented
136#2540C2212yes—
137#2538C2211yescharacteristic
138#2538C2211yescharacteristic
139#2538C2211yescharacteristic
140#2538C2211yescharacteristic
141#2537C2211yescharacteristic
142#2537C2211yescharacteristic
143#2537C2211yescharacteristic
144#2537C2211yescharacteristic
145#2536C2212yes—
146#2535C2212yes—
147#2534C2214yes—
148#2531C2214yescomplemented
149#2530C2214yescomplemented
150#2527C2214yescomplemented
151#2526C2214yescomplemented
152#2513C2212yes—
153#2512C2212yes—
154#2512C2212yes—
155#2512C2212yes—
156#2509C2212yescomplemented
157#2507C2212yescomplemented
158#2506C2212yescomplemented
159#2506C2212yescomplemented
160#2501C2212yes—
161#2500C2212yes—
162#2500C2212yes—
163#2500C2212yes—
164#2500C2211yescharacteristic
165#2499C2211yescharacteristic
166#2497C2212yescomplemented
167#2497C2212yescomplemented
168#2496C2212yescomplemented
169#2496C2212yescomplemented
170#2494C2212yescomplemented
171#2494C2212yescomplemented
172#2494C2212yescomplemented
173#2494C2212yescomplemented
174#2492C2212yescomplemented
175#2491C2212yes—
176#2491C2212yes—
177#2491C2212yescomplemented
178#2490C2212yes—
179#2490C2212yes—
180#2490C2212yescomplemented
181#2490C2212yescomplemented
182#2487C2212yes—
183#2487C2212yescomplemented
184#2486C2212yes—
185#2485C2212yescomplemented
186#2485C2212yescomplemented
187#2485C2212yescomplemented
188#2479C2214yescomplemented
189#2476C2214yescomplemented
190#2474C2214yescomplemented
191#2471C2214yescomplemented
192#2468C2214yescomplemented
193#2467C2214yescomplemented
194#2466C2214yescomplemented
195#2460C2214yescomplemented
196#2459C2214yescomplemented
197#2457C2214yescomplemented
198#2454C2214yescomplemented
199#2441C2212yes—
200#2441C2212yes—
201#2441C2212yescomplemented
202#2441C2212yescomplemented
203#2440C2212yescomplemented
204#2439C2212yes—
205#2439C2212yes—
206#2439C2212yescomplemented
207#2432C2211yescharacteristic
208#2431C2211yescharacteristic
209#2429C2212yescomplemented
210#2428C2212yescomplemented
211#2427C2214yescomplemented
212#2426C2212yescomplemented
213#2426C2212yescomplemented
214#2423C2212yescomplemented
215#2422C2212yescomplemented
216#2421C2212yescomplemented
217#2421C2212yescomplemented
218#2416C2212yes—
219#2414C2212yes—
220#2414C2212yes—
221#2414C2212yes—
222#2411C2214yes—
223#2408C2212yes—
224#2408C2212yes—
225#2392C2212yes—
226#2392C2212yes—
227#2392C2214yes—
228#2373C2214yescomplemented
229#2363C2212yes—
230#2362C2212yes—
231#2355C2211yescharacteristic, complemented
232#2354C2212yes—
233#2354C2212yes—
234#2354C2212yes—
235#2354C2211yescharacteristic, complemented
236#2354C2211yescharacteristic, complemented
237#2354C2211yescharacteristic, complemented
238#2352C2212yes—
239Q8×C4⋊C4C2211yescharacteristic, complemented
240Q8×C4⋊C4C2211yescharacteristic, complemented
241Q8×C4⋊C4C2211yescharacteristic, complemented
242D4×C4⋊C4C2211yescharacteristic, complemented
243#2346C2212yes—
244#2346C2214yescomplemented
245#2341C2212yes—
246#2335C2214yes—
247#2331C2212yescomplemented
248#2330C2212yescomplemented
249#2324C2212yes—
250#2324C2212yes—
251#2324C2212yescomplemented
252#2323C2212yescomplemented
253#2323C2212yescomplemented
254#2323C2212yescomplemented
255#2319C2211yescharacteristic
256#2319C2211yescharacteristic
257#2319C2211yescharacteristic
258#2319C2211yescharacteristic
259#2319C2212yes—
260#2319C2212yes—
261#2316C2211yescharacteristic
262#2316C2211yescharacteristic
263#2314C2212yescomplemented
264#2314C2212yescomplemented
265#2314C2212yescomplemented
266#2312C2212yes—
267#2312C2212yes—
268#2309C2211yescharacteristic
269#2309C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic, complemented
271C4×#127C2211yescharacteristic, complemented
272C4×#125C2212yescomplemented
273C4×#124C2211yescharacteristic, complemented
274C4×#124C2211yescharacteristic, complemented
275C4×#124C2212yescomplemented
276C4×#121C2212yes—
277C4×#121C2212yes—
278#2293C2211yescharacteristic
279#2293C2211yescharacteristic
280#2293C2211yescharacteristic
281#2293C2211yescharacteristic
282#2293C2212yes—
283#2293C2212yes—
284#2293C2214yes—
285#2293C2212yescomplemented
286#2290C2212yescomplemented
287#2290C2212yescomplemented
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2285C2212yescomplemented
291#2280C2212yes—
292#2280C2212yes—
293#2280C2212yes—
294#2274C2212yescomplemented
295C42×Q8C2212yescomplemented
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yescomplemented
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#542—48no—
303#541—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×#127C2311yescharacteristic
309#529—28no—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#124C2314yes—
324C2×#124C2311yescharacteristic
325C2×#124C2314yes—
326#525—48no—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C4×#41—28no—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×D4—28no—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2314yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2312yes—
393C22×C22⋊C4C2312yes—
394C22×C42C2312yes—
395C22×C42C2311yescharacteristic
396#401C2314yes—
397#401C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2312yes—
441#396C2312yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#395C2314yes—
459#395C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2312yes—
477#394C2312yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2312yes—
498#392C2312yes—
499#392C2314yes—
500#391C2314yes—
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#391C2314yes—
505#391C2311yescharacteristic
506#391C2314yes—
507#391C2312yes—
508#390C2314yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#390C2314yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#385C2312yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2312yes—
709#384C2312yes—
710#382C2312yes—
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2314yes—
718#382C2312yes—
719#381C2312yes—
720#381C2312yes—
721#381C2312yes—
722#381C2312yes—
723#381C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#379C2312yes—
754#379C2312yes—
755#379C2312yes—
756#379C2312yes—
757#379C2314yes—
758#379C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808#376C2311yescharacteristic
809#376C2311yescharacteristic
810#376C2312yes—
811#376C2314yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2314yes—
816C25C2412yes—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—42no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2414yes—
823C22×D4—24no—
824C22×D4—42no—
825C22×D4—42no—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4—28no—
840C23×C4—44no—
841C23×C4—44no—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2411yescharacteristic
855C4⋊Q8—24no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8—82no—
859#127—42no—
860#126—28no—
861#126—48no—
862#126—48no—
863#126—48no—
864#126—84no—
865#125—24no—
866#125—44no—
867#125—44no—
868#125—48no—
869#125—48no—
870#125—82no—
871#124—24no—
872#124—24no—
873#124—48no—
874#124—42no—
875#124—84no—
876#123—28no—
877#123—48no—
878#123—48no—
879#123—84no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—24no—
883C22⋊Q8—48no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886#121—24no—
887#121—44no—
888#121—44no—
889#121—44no—
890#121—44no—
891#121—44no—
892#121—44no—
893#121—44no—
894#121—44no—
895#121—84no—
896#120—48no—
897#120—84no—
898C4×Q8—28no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—24no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—48no—
920C4×D4—48no—
921#117—24no—
922#117—28no—
923#117—28no—
924#117—44no—
925#117—44no—
926#117—42no—
927#117—42no—
928#117—44no—
929#117—44no—
930#117—42no—
931#117—42no—
932#117—44no—
933#117—44no—
934#117—44no—
935#117—44no—
936#117—82no—
937#117—84no—
938C2×C4⋊C4—24no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C22⋊C4—28no—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C42—28no—
1080C2×C42#4118yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116#95C2412yes—
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2414yes—
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
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#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176C24—24no—
1177C24—42no—
1178C24—42no—
1179C24—42no—
1180C24—42no—
1181C24—42no—
1182C24—42no—
1183C24C2512yes—
1184C24C2512yes—
1185C24C2512yes—
1186C24C2512yes—
1187C24C2511yescharacteristic
1188#41—416no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8H(5,𝔽2)14yes—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—416no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—41no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—816no—
1275C22×C4C2×#4114yes—
1276C22×C4C2×#4114yes—
1277C22×C4C2×#4114yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2514yes—
1290C22×C4C2514yes—
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2514yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
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—44no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C42—24no—
1447C42—24no—
1448C42—24no—
1449C42—24no—
1450C42—24no—
1451C42—22no—
1452C42—22no—
1453C42—28no—
1454C42—24no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—41no—
1462C42—41no—
1463C42—42no—
1464C42—42no—
1465C42—42no—
1466C42—44no—
1467C42—44no—
1468C42—44no—
1469C42—44no—
1470C42—42no—
1471C42—44no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—41no—
1476C42—41no—
1477C42C2×#4114yes—
1478C42C2×#4114yes—
1479C42C2×#4114yes—
1480C42C2×#4114yes—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—48no—
1516C23—84no—
1517C23—84no—
1518C23—84no—
1519C23—84no—
1520C23—84no—
1521C23—84no—
1522C23C22×#4112yes—
1523C23C2611yescharacteristic
1524Q8—28no—
1525Q8—44no—
1526Q8—164no—
1527D4—48no—
1528D4—48no—
1529D4—44no—
1530D4—44no—
1531D4—44no—
1532D4—44no—
1533D4—84no—
1534D4—88no—
1535D4—88no—
1536D4—84no—
1537D4—84no—
1538D4—164no—
1539D4—164no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—28no—
1551C2×C4—28no—
1552C2×C4—22no—
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—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—44no—
1622C2×C4—48no—
1623C2×C4—48no—
1624C2×C4—48no—
1625C2×C4—48no—
1626C2×C4—48no—
1627C2×C4—48no—
1628C2×C4—84no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—164no—
1632C2×C4C22×#4112yes—
1633C2×C4C22×#4112yes—
1634C2×C4C22×#4112yes—
1635C2×C4C22×#4112yes—
1636C2×C4C22×#4112yes—
1637C2×C4C22×#4112yes—
1638C2×C4C2×H(5,𝔽2)14yes—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4#58512yes—
1641C2×C4#58512yes—
1642C2×C4#58512yes—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—816no—
1679C22C23×#4111yescharacteristic
1680C22C22×H(5,𝔽2)11yescharacteristic
1681C22C2×#58511yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22H(7,𝔽2)11yescharacteristic
1685C222−1+611yescharacteristic
1686C4—22no—
1687C4—24no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—41no—
1698C4—41no—
1699C4—44no—
1700C4—41no—
1701C4—42no—
1702C4—44no—
1703C4—44no—
1704C4—41no—
1705C4—42no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—42no—
1710C4—41no—
1711C4—44no—
1712C4—42no—
1713C4—42no—
1714C4#345514yes—
1715C4#349414yes—
1716C2—42no—
1717C2—82no—
1718C2—82no—
1719C2—82no—
1720C2—82no—
1721C2C2×#345511yescharacteristic
1722C2C2×#349411yescharacteristic
1723C2#6285611yescharacteristic
1724C2#6292211yescharacteristic
1725C2#6292311yescharacteristic
1726C2#6293611yescharacteristic
1727C2#6293711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42975C2semidirect
2. #42974C2semidirect
3. #42935C2semidirect
4. #42934C2semidirect
5. #41973C2semidirect
6. #41971C2semidirect
7. #39507C2semidirect
8. #39505C2semidirect
9. #39379C2semidirect
10. #39377C2semidirect
11. #39194C2semidirect
12. #39194C2semidirect
13. #39192C2semidirect
14. #39191C2semidirect
15. #37859C2semidirect
16. #37857C2semidirect
17. #37671C2semidirect
18. #37669C2semidirect
19. #37573C2semidirect
20. #37570C2semidirect
21. #36993C2semidirect
22. #36990C2semidirect
23. #35591C2semidirect
24. #35589C2semidirect
25. #35294C2semidirect
26. #35236C2semidirect
27. #35220C2semidirect
28. #35183C2semidirect
29. #35164C2semidirect
30. #35161C2semidirect
31. #34935C2semidirect
32. #34910C2semidirect
33. #34242C2semidirect
34. #34129C2semidirect
35. #34058C2semidirect
36. C2×#542C22semidirect
37. C2×#541C22semidirect
42. #2868C22semidirect
43. #2866C22semidirect
44. #2865C22semidirect
45. #2861C22semidirect
46. #2860C22semidirect
47. #2859C22semidirect
48. #2859C22semidirect
49. #2859C22semidirect
52. #2838C22semidirect
53. #2837C22semidirect
56. #2803C22semidirect
57. #2803C22semidirect
58. #2801C22semidirect
59. #2801C22semidirect
60. #2800C22semidirect
61. #2800C22semidirect
62. #2795C22semidirect
63. #2772C22semidirect
64. #2753C22semidirect
71. #2731C22semidirect
72. #2725C22semidirect
73. #2725C22semidirect
74. #2725C22semidirect
75. #2718C22semidirect
76. #2711C22semidirect
86. #2674C22semidirect
88. #2664C22semidirect
92. #2655C22semidirect
93. #2654C22semidirect
94. #2653C22semidirect
96. #2649C22semidirect
97. #2649C22semidirect
98. #2648C22semidirect
99. #2648C22semidirect
102. #2629C22semidirect
104. #2628C22semidirect
105. #2625C22semidirect
106. #2624C22semidirect
107. #2624C22semidirect
108. #2624C22semidirect
109. #2620C22semidirect
110. #2619C22semidirect
113. #2601C22semidirect
114. #2601C22semidirect
115. #2596C22semidirect
116. #2594C22semidirect
118. #2585C22semidirect
119. #2576C22semidirect
120. #2575C22semidirect
121. #2574C22semidirect
122. #2570C22semidirect
123. #2570C22semidirect
124. #2566C22semidirect
125. #2565C22semidirect
127. #2560C22semidirect
128. #2558C22semidirect
129. #2556C22semidirect
131. #2553C22semidirect
132. #2550C22semidirect
133. #2550C22semidirect
134. #2545C22semidirect
135. #2544C22semidirect
148. #2531C22semidirect
149. #2530C22semidirect
150. #2527C22semidirect
151. #2526C22semidirect
156. #2509C22semidirect
157. #2507C22semidirect
158. #2506C22semidirect
159. #2506C22semidirect
166. #2497C22semidirect
167. #2497C22semidirect
168. #2496C22semidirect
169. #2496C22semidirect
170. #2494C22semidirect
171. #2494C22semidirect
172. #2494C22semidirect
173. #2494C22semidirect
174. #2492C22semidirect
177. #2491C22semidirect
180. #2490C22semidirect
181. #2490C22semidirect
183. #2487C22semidirect
185. #2485C22semidirect
186. #2485C22semidirect
187. #2485C22semidirect
188. #2479C22semidirect
189. #2476C22semidirect
190. #2474C22semidirect
191. #2471C22semidirect
192. #2468C22semidirect
193. #2467C22semidirect
194. #2466C22semidirect
195. #2460C22semidirect
196. #2459C22semidirect
197. #2457C22semidirect
198. #2454C22semidirect
201. #2441C22semidirect
202. #2441C22semidirect
203. #2440C22semidirect
206. #2439C22semidirect
209. #2429C22semidirect
210. #2428C22semidirect
211. #2427C22semidirect
212. #2426C22semidirect
213. #2426C22semidirect
214. #2423C22semidirect
215. #2422C22semidirect
216. #2421C22semidirect
217. #2421C22semidirect
228. #2373C22semidirect
231. #2355C22semidirect
235. #2354C22semidirect
236. #2354C22semidirect
237. #2354C22semidirect
239. Q8×C4⋊C4C22semidirect
240. Q8×C4⋊C4C22semidirect
241. Q8×C4⋊C4C22semidirect
242. D4×C4⋊C4C22semidirect
244. #2346C22semidirect
247. #2331C22semidirect
248. #2330C22semidirect
251. #2324C22semidirect
252. #2323C22semidirect
253. #2323C22semidirect
254. #2323C22semidirect
263. #2314C22semidirect
264. #2314C22semidirect
265. #2314C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×#127C22semidirect
272. C4×#125C22semidirect
273. C4×#124C22semidirect
274. C4×#124C22semidirect
275. C4×#124C22semidirect
285. #2293C22semidirect
286. #2290C22semidirect
287. #2290C22semidirect
290. #2285C22semidirect
294. #2274C22semidirect
295. C42×Q8C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#429752
#429742
#429352
#429342
#419732
#419712
#395072
#395052
#393792
#393772
#391942
#391922
#391912
#378592
#378572
#376712
#376692
#375732
#375702
#369932
#369902
#355912
#355892
#352942
#352362
#352202
#351832
#351642
#351612
#349352
#349102
#342422
#341292
#340582