Finite Group Databasebeta

← #7681109

Subgroups — #7681109

Order 512.

5687 conjugacy classes of subgroups.

The subgroup lattice has 1847 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59472C214yesmaximal, complemented
2#59469C214yesmaximal, complemented
3#59382C212yesmaximal, complemented
4#59381C212yesmaximal, complemented
5#59377C212yesmaximal, complemented
6#59376C212yesmaximal, complemented
7#45320C212yesmaximal, complemented
8#45088C212yesmaximal, complemented
9#45087C212yesmaximal, complemented
10#45060C212yesmaximal, complemented
11#43245C214yesmaximal, complemented
12#43200C214yesmaximal, complemented
13#39564C212yesmaximal, complemented
14#39562C212yesmaximal, complemented
15#37971C212yesmaximal, complemented
16#37969C212yesmaximal, complemented
17#37859C212yesmaximal, complemented
18#37851C212yesmaximal, complemented
19#36208C212yesmaximal, complemented
20#36190C212yesmaximal, complemented
21#35575C211yesmaximal, characteristic, complemented
22#35544C211yesmaximal, characteristic, complemented
23#35542C211yesmaximal, characteristic, complemented
24#35530C211yesmaximal, characteristic, complemented
25#35257C211yesmaximal, characteristic, complemented
26#35255C211yesmaximal, characteristic, complemented
27#35251C211yesmaximal, characteristic
28C2×#2497C211yesmaximal, characteristic, complemented
29#34742C211yesmaximal, characteristic, complemented
30#34267C211yesmaximal, characteristic, complemented
31#34252C211yesmaximal, characteristic, complemented
32#34188C211yesmaximal, characteristic, complemented
33#34175C211yesmaximal, characteristic, complemented
34C22⋊C4×#41C211yesmaximal, characteristic, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#544C2211yescharacteristic, complemented
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic, complemented
46#2857C2212yescomplemented
47#2855C2212yescomplemented
48#2854C2212yescomplemented
49#2851C2212yescomplemented
50#2848C2212yes—
51#2847C2212yes—
52#2798C2214yescomplemented
53#2786C2214yescomplemented
54#2782C2214yescomplemented
55#2763C2214yescomplemented
56#2761C2214yescomplemented
57#2758C2214yescomplemented
58#2757C2214yescomplemented
59#2755C2214yescomplemented
60#2753C2214yescomplemented
61#2748C2214yes—
62#2745C2214yescomplemented
63#2743C2214yescomplemented
64#2743C2214yescomplemented
65#2741C2214yes—
66#2740C2214yescomplemented
67#2740C2214yescomplemented
68#2739C2214yescomplemented
69#2736C2214yes—
70#2735C2214yes—
71#2730C2214yescomplemented
72#2706C2214yescomplemented
73#2705C2214yescomplemented
74#2696C2214yescomplemented
75#2696C2214yescomplemented
76#2629C2212yescomplemented
77#2628C2212yescomplemented
78#2625C2212yescomplemented
79#2624C2212yescomplemented
80#2616C2212yes—
81#2615C2212yes—
82#2610C2214yescomplemented
83#2609C2214yescomplemented
84#2607C2214yescomplemented
85#2601C2214yescomplemented
86#2598C2214yescomplemented
87#2597C2214yescomplemented
88#2595C2214yescomplemented
89#2578C2214yescomplemented
90#2576C2214yescomplemented
91#2575C2214yescomplemented
92#2574C2214yes—
93#2574C2214yes—
94#2569C2214yescomplemented
95#2564C2214yescomplemented
96#2563C2212yes—
97#2562C2212yes—
98#2562C2212yescomplemented
99#2557C2214yescomplemented
100#2547C2212yescomplemented
101#2534C2214yes—
102#2532C2214yescomplemented
103#2530C2214yes—
104#2527C2214yescomplemented
105#2522C2214yes—
106#2520C2214yescomplemented
107#2520C2214yescomplemented
108#2518C2214yes—
109#2516C2214yescomplemented
110#2510C2214yescomplemented
111#2505C2214yescomplemented
112#2502C2212yescomplemented
113#2501C2212yescomplemented
114#2500C2212yescomplemented
115#2499C2212yescomplemented
116#2498C2214yescomplemented
117#2497C2212yes—
118#2497C2212yes—
119#2497C2212yes—
120#2497C2212yes—
121#2497C2212yes—
122#2497C2212yes—
123#2497C2212yescomplemented
124#2497C2212yescomplemented
125#2497C2212yescomplemented
126#2497C2212yescomplemented
127#2496C2212yescomplemented
128#2496C2212yescomplemented
129#2495C2212yes—
130#2495C2212yescomplemented
131#2494C2212yes—
132#2494C2212yescomplemented
133#2493C2214yescomplemented
134#2492C2212yes—
135#2491C2212yescomplemented
136#2490C2212yes—
137#2489C2212yescomplemented
138#2488C2214yescomplemented
139#2480C2214yes—
140#2479C2214yescomplemented
141#2472C2214yes—
142#2467C2214yescomplemented
143#2461C2214yescomplemented
144#2457C2214yescomplemented
145#2454C2212yescomplemented
146#2454C2212yescomplemented
147#2453C2212yescomplemented
148#2453C2212yescomplemented
149#2452C2212yescomplemented
150#2452C2212yescomplemented
151#2451C2212yescomplemented
152#2451C2212yescomplemented
153#2450C2214yescomplemented
154#2449C2214yescomplemented
155#2444C2214yescomplemented
156#2443C2214yescomplemented
157#2443C2214yescomplemented
158#2443C2214yescomplemented
159#2442C2212yescomplemented
160#2441C2212yescomplemented
161#2440C2212yescomplemented
162#2439C2212yescomplemented
163#2438C2214yescomplemented
164#2437C2214yes—
165#2430C2214yes—
166#2423C2211yescharacteristic
167#2423C2212yescomplemented
168#2423C2212yescomplemented
169#2423C2212yescomplemented
170#2423C2211yescharacteristic, complemented
171#2422C2211yescharacteristic
172#2422C2212yescomplemented
173#2422C2212yescomplemented
174#2422C2212yescomplemented
175#2422C2211yescharacteristic, complemented
176#2421C2211yescharacteristic
177#2421C2212yescomplemented
178#2421C2211yescharacteristic, complemented
179#2420C2211yescharacteristic
180#2420C2212yescomplemented
181#2420C2211yescharacteristic, complemented
182#2419C2212yescomplemented
183#2419C2212yescomplemented
184#2419C2214yescomplemented
185#2418C2212yes—
186#2418C2214yes—
187#2418C2212yes—
188#2417C2214yescomplemented
189#2411C2214yes—
190#2411C2214yes—
191#2410C2214yes—
192#2409C2212yes—
193#2408C2212yes—
194#2407C2212yes—
195#2407C2212yes—
196#2395C2212yes—
197#2395C2212yescomplemented
198C2×#400C2212yescomplemented
199C2×#396C2212yes—
200#2374C2214yes—
201#2368C2214yescomplemented
202#2364C2214yescomplemented
203#2363C2212yescomplemented
204#2362C2212yescomplemented
205#2361C2212yescomplemented
206#2361C2214yescomplemented
207#2360C2212yescomplemented
208#2359C2214yescomplemented
209#2357C2212yescomplemented
210#2356C2212yescomplemented
211#2355C2212yescomplemented
212#2355C2212yescomplemented
213#2355C2212yescomplemented
214#2354C2212yescomplemented
215#2354C2212yescomplemented
216#2354C2212yescomplemented
217#2352C2214yescomplemented
218#2352C2214yescomplemented
219#2347C2212yescomplemented
220#2346C2212yescomplemented
221#2345C2212yescomplemented
222#2344C2212yescomplemented
223#2342C2214yes—
224#2341C2211yescharacteristic
225#2341C2212yes—
226#2341C2211yescharacteristic
227Q8×C22⋊C4C2211yescharacteristic
228Q8×C22⋊C4C2212yes—
229Q8×C22⋊C4C2211yescharacteristic
230#2339C2212yes—
231#2339C2211yescharacteristic
232#2339C2212yes—
233#2339C2212yes—
234#2339C2211yescharacteristic
235#2339C2214yes—
236D4×C22⋊C4C2211yescharacteristic
237D4×C22⋊C4C2212yes—
238D4×C22⋊C4C2212yes—
239D4×C22⋊C4C2212yes—
240D4×C22⋊C4C2211yescharacteristic
241D4×C22⋊C4C2214yes—
242#2325C2214yescomplemented
243#2324C2212yescomplemented
244#2324C2212yescomplemented
245#2324C2212yescomplemented
246#2323C2212yescomplemented
247#2323C2212yescomplemented
248#2323C2212yescomplemented
249#2318C2214yescomplemented
250#2317C2211yescharacteristic, complemented
251#2317C2211yescharacteristic, complemented
252#2316C2211yescharacteristic, complemented
253#2314C2212yescomplemented
254#2314C2212yescomplemented
255#2311C2211yescharacteristic
256#2311C2212yes—
257#2311C2212yes—
258#2311C2211yescharacteristic
259#2311C2211yescharacteristic
260#2311C2211yescharacteristic
261#2311C2211yescharacteristic, complemented
262#2311C2211yescharacteristic, complemented
263C4×C22⋊Q8C2212yescomplemented
264C4×C22⋊Q8C2212yescomplemented
265C4×C22⋊Q8C2212yescomplemented
266C4×#123C2212yes—
267C4×#123C2212yescomplemented
268C4×#121C2214yescomplemented
269C4×#121C2212yescomplemented
270C4×#121C2212yescomplemented
271C4×#121C2212yescomplemented
272#2297C2212yes—
273#2297C2212yes—
274#2297C2211yescharacteristic
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic, complemented
277#2296C2211yescharacteristic, complemented
278C2×#389C2211yescharacteristic, complemented
279C2×#389C2211yescharacteristic, complemented
280#2290C2214yescomplemented
281C2×#388C2212yes—
282C2×#387C2212yescomplemented
283#2285C2212yescomplemented
284#2285C2212yescomplemented
285#2285C2211yescharacteristic, complemented
286C2×#384C2211yescharacteristic, complemented
287#2280C2211yescharacteristic
288#2280C2212yes—
289#2280C2212yes—
290#2280C2211yescharacteristic
291C2×#380C2212yes—
292C2×#380C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic, complemented
295#2274C2211yescharacteristic, complemented
296C2×C4×C4⋊C4C2211yescharacteristic, complemented
297C2×C4×C22⋊C4C2212yes—
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—28no—
300C22×#41—28no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C22×#41C2311yescharacteristic
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C23×Q8C2311yescharacteristic
310C23×D4C2311yescharacteristic
311C23×D4C2312yes—
312C24×C4C2311yescharacteristic
313C24×C4C2312yes—
314#544—44no—
315#537—28no—
316#537—28no—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2314yes—
323#525—44no—
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#120C2312yes—
348C2×#120C2314yes—
349#520—28no—
350#520—44no—
351C4×#41—28no—
352C4×#41—44no—
353C4×#41—44no—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2314yes—
393C2×#117C2314yes—
394C2×#117C2314yes—
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2311yescharacteristic
407C22×C22⋊C4C2311yescharacteristic
408C22×C22⋊C4C2312yes—
409C22×C22⋊C4C2314yes—
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2312yes—
412C22×C42C2312yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2312yes—
416C22×C42C2312yes—
417C22×C42C2312yes—
418#401C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#400C2312yes—
431#400C2314yes—
432#400C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2312yes—
438#399C2312yes—
439#399C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#391C2312yes—
499#391C2314yes—
500#391C2312yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2314yes—
507#391C2314yes—
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2314yes—
518#391C2311yescharacteristic
519#390C2314yes—
520#390C2312yes—
521#390C2314yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2314yes—
557#389C2314yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2312yes—
692#383C2314yes—
693#383C2314yes—
694#382C2314yes—
695#382C2311yescharacteristic
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2312yes—
699#382C2314yes—
700#382C2314yes—
701#382C2314yes—
702#381C2314yes—
703#381C2312yes—
704#381C2314yes—
705#381C2312yes—
706#381C2312yes—
707#381C2312yes—
708#381C2314yes—
709#381C2312yes—
710#381C2312yes—
711#380C2311yescharacteristic
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2312yes—
753#379C2314yes—
754#379C2312yes—
755#379C2314yes—
756#379C2312yes—
757#379C2312yes—
758#379C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2314yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2314yes—
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2311yescharacteristic
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C25C2411yescharacteristic
823C25C2412yes—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—28no—
827C2×#41—28no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—28no—
835C2×#41—28no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—44no—
840C2×#41—44no—
841C2×#41—42no—
842C2×#41—42no—
843C2×#41—464no—
844C2×#41#4118yes—
845C2×#41#4118yes—
846C22×Q8—24no—
847C22×Q8—24no—
848C22×Q8—42no—
849C22×Q8C2411yescharacteristic
850C22×Q8C2412yes—
851C22×Q8C2411yescharacteristic
852C22×Q8C2411yescharacteristic
853C22×Q8C2414yes—
854C22×D4—28no—
855C22×D4—28no—
856C22×D4—24no—
857C22×D4—24no—
858C22×D4—42no—
859C22×D4—44no—
860C22×D4C2412yes—
861C22×D4C2411yescharacteristic
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2411yescharacteristic
868C22×D4C2411yescharacteristic
869C22×D4C2412yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2412yes—
873C23×C4—28no—
874C23×C4—28no—
875C23×C4—24no—
876C23×C4—24no—
877C23×C4—24no—
878C23×C4—44no—
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2412yes—
900C23×C4C2414yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2414yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2411yescharacteristic
907C4⋊Q8—44no—
908C4⋊Q8—44no—
909#126—84no—
910#125—44no—
911#125—44no—
912#124—84no—
913#123—28no—
914#123—44no—
915#123—48no—
916#123—44no—
917#123—84no—
918#123—84no—
919C22⋊Q8—28no—
920C22⋊Q8—28no—
921C22⋊Q8—28no—
922C22⋊Q8—28no—
923C22⋊Q8—48no—
924C22⋊Q8—48no—
925C22⋊Q8—42no—
926C22⋊Q8—42no—
927C22⋊Q8—84no—
928#121—28no—
929#121—28no—
930#121—216no—
931#121—216no—
932#121—28no—
933#121—28no—
934#121—42no—
935#121—42no—
936#120—44no—
937#120—84no—
938C4×Q8—24no—
939C4×Q8—24no—
940C4×Q8—28no—
941C4×Q8—42no—
942C4×Q8—42no—
943C4×Q8—42no—
944C4×Q8—42no—
945C4×Q8—44no—
946C4×D4—28no—
947C4×D4—28no—
948C4×D4—24no—
949C4×D4—24no—
950C4×D4—216no—
951C4×D4—28no—
952C4×D4—42no—
953C4×D4—42no—
954C4×D4—42no—
955C4×D4—42no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—84no—
965C4×D4—84no—
966#117—28no—
967#117—24no—
968#117—28no—
969#117—24no—
970#117—24no—
971#117—24no—
972#117—24no—
973#117—44no—
974#117—44no—
975#117—44no—
976#117—84no—
977#117—84no—
978#117—84no—
979C2×C4⋊C4—28no—
980C2×C4⋊C4—24no—
981C2×C4⋊C4—24no—
982C2×C4⋊C4—24no—
983C2×C4⋊C4—24no—
984C2×C4⋊C4—44no—
985C2×C4⋊C4—44no—
986C2×C4⋊C4—82no—
987C2×C4⋊C4—82no—
988C2×C4⋊C4—82no—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C22⋊C4—24no—
1045C2×C22⋊C4—28no—
1046C2×C22⋊C4—44no—
1047C2×C22⋊C4—42no—
1048C2×C22⋊C4—84no—
1049C2×C22⋊C4—82no—
1050C2×C22⋊C4—82no—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C42—28no—
1117C2×C42—24no—
1118C2×C42—24no—
1119C2×C42—44no—
1120C2×C42—44no—
1121C2×C42—82no—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2414yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2414yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2414yes—
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2411yescharacteristic
1160#95C2412yes—
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2412yes—
1165#95C2411yescharacteristic
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2414yes—
1217C24—22no—
1218C24—24no—
1219C24—24no—
1220C24—22no—
1221C24—22no—
1222C24—22no—
1223C24—24no—
1224C24—41no—
1225C24—42no—
1226C24—41no—
1227C24—41no—
1228C24—42no—
1229C24—42no—
1230C24—42no—
1231C24C2511yescharacteristic
1232C24C2512yes—
1233C24C2512yes—
1234C24C2512yes—
1235C24C2511yescharacteristic
1236C24C2511yescharacteristic
1237#41—232no—
1238#41—232no—
1239#41—432no—
1240#41—432no—
1241#41—416no—
1242#41—416no—
1243#41—416no—
1244C2×Q8—22no—
1245C2×Q8—22no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—24no—
1249C2×Q8—24no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—42no—
1254C2×Q8—44no—
1255C2×Q8—44no—
1256C2×Q8—44no—
1257C2×Q8—416no—
1258C2×Q8C2×#4114yes—
1259C2×Q8C2×#4114yes—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—28no—
1272C2×D4—28no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—42no—
1295C2×D4—432no—
1296C2×D4—416no—
1297C2×D4C2×#4118yes—
1298C2×D4C2×#4118yes—
1299C2×D4C2×#4114yes—
1300C2×D4C2×#4114yes—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—28no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—24no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—432no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—41no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—41no—
1372C22×C4—44no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—416no—
1382C22×C4C2×#4118yes—
1383C22×C4C2×#4118yes—
1384C22×C4C2×#4114yes—
1385C22×C4C2×#4114yes—
1386C22×C4H(5,𝔽2)14yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2514yes—
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2514yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2514yes—
1407C22×C4C2512yes—
1408C22×C4C2514yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—28no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—28no—
1430C4⋊C4—28no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—28no—
1442C4⋊C4—24no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—42no—
1467C4⋊C4—44no—
1468C4⋊C4—42no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C22⋊C4—28no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—22no—
1483C22⋊C4—24no—
1484C22⋊C4—28no—
1485C22⋊C4—28no—
1486C22⋊C4—24no—
1487C22⋊C4—22no—
1488C22⋊C4—24no—
1489C22⋊C4—22no—
1490C22⋊C4—24no—
1491C22⋊C4—22no—
1492C22⋊C4—24no—
1493C22⋊C4—22no—
1494C22⋊C4—24no—
1495C22⋊C4—42no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C42−1+414yes—
1536C42—22no—
1537C42—24no—
1538C42—22no—
1539C42—24no—
1540C42—24no—
1541C42—22no—
1542C42—22no—
1543C42—28no—
1544C42—24no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—24no—
1550C42—24no—
1551C42—24no—
1552C42—42no—
1553C42—42no—
1554C42—42no—
1555C42—42no—
1556C42—44no—
1557C42—44no—
1558C42—44no—
1559C42—44no—
1560C42—44no—
1561C42—44no—
1562C42—44no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—22no—
1570C23—22no—
1571C23—21no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—21no—
1578C23—22no—
1579C23—22no—
1580C23—21no—
1581C23—22no—
1582C23—22no—
1583C23—21no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—21no—
1588C23—21no—
1589C23—22no—
1590C23—21no—
1591C23—21no—
1592C23—22no—
1593C23—21no—
1594C23—22no—
1595C23—21no—
1596C23—21no—
1597C23—22no—
1598C23—22no—
1599C23—48no—
1600C23—44no—
1601C23—44no—
1602C23—44no—
1603C23—48no—
1604C23—48no—
1605C23—44no—
1606C23—82no—
1607C23—82no—
1608C23—82no—
1609C23—84no—
1610C23—84no—
1611C23—84no—
1612C23—84no—
1613C23C22×#4114yes—
1614C23C22×#4114yes—
1615C23C22×#4112yes—
1616C23C22×#4112yes—
1617C23C2×H(5,𝔽2)12yes—
1618C23C2×2−1+412yes—
1619C23C2611yescharacteristic
1620Q8—28no—
1621Q8—28no—
1622Q8—48no—
1623Q8—44no—
1624Q8—164no—
1625D4—216no—
1626D4—216no—
1627D4—28no—
1628D4—28no—
1629D4—48no—
1630D4—48no—
1631D4—48no—
1632D4—48no—
1633D4—44no—
1634D4—88no—
1635D4—88no—
1636D4—84no—
1637D4—84no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—216no—
1649C2×C4—216no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—24no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—24no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—48no—
1717C2×C4—44no—
1718C2×C4—48no—
1719C2×C4—44no—
1720C2×C4—48no—
1721C2×C4—44no—
1722C2×C4—48no—
1723C2×C4—48no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—44no—
1729C2×C4—48no—
1730C2×C4—84no—
1731C2×C4—84no—
1732C2×C4—84no—
1733C2×C4—84no—
1734C2×C4—88no—
1735C2×C4—84no—
1736C2×C4—82no—
1737C2×C4—84no—
1738C2×C4—84no—
1739C2×C4—84no—
1740C2×C4—164no—
1741C2×C4#551116yes—
1742C2×C4C22×#4114yes—
1743C2×C4C22×#4114yes—
1744C2×C4C22×#4112yes—
1745C2×C4C22×#4112yes—
1746C2×C4C22×#4112yes—
1747C2×C4C22×#4112yes—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4C2×2−1+412yes—
1751C2×C4C2×2−1+412yes—
1752C2×C4#58512yes—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—24no—
1760C22—22no—
1761C22—24no—
1762C22—22no—
1763C22—24no—
1764C22—24no—
1765C22—22no—
1766C22—24no—
1767C22—24no—
1768C22—42no—
1769C22—42no—
1770C22—41no—
1771C22—42no—
1772C22—42no—
1773C22—41no—
1774C22—42no—
1775C22—42no—
1776C22—41no—
1777C22—42no—
1778C22—42no—
1779C22—41no—
1780C22—42no—
1781C22—41no—
1782C22—42no—
1783C22—41no—
1784C22—42no—
1785C22—41no—
1786C22—42no—
1787C22—41no—
1788C22—42no—
1789C22—41no—
1790C22—42no—
1791C22—41no—
1792C22—41no—
1793C22—42no—
1794C22—88no—
1795C22—816no—
1796C22C2×#55114yes—
1797C22C23×#4111yescharacteristic
1798C22C23×#4111yescharacteristic
1799C22C22×H(5,𝔽2)11yescharacteristic
1800C22C22×2−1+411yescharacteristic
1801C22C2×#58511yescharacteristic
1802C22H(7,𝔽2)11yescharacteristic
1803C22H(7,𝔽2)11yescharacteristic
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—24no—
1808C4—24no—
1809C4—42no—
1810C4—41no—
1811C4—42no—
1812C4—41no—
1813C4—44no—
1814C4—42no—
1815C4—44no—
1816C4—42no—
1817C4—44no—
1818C4—41no—
1819C4—41no—
1820C4—42no—
1821C4—44no—
1822C4—42no—
1823C4—42no—
1824C4—41no—
1825C4—42no—
1826C4—42no—
1827C4—42no—
1828C4—41no—
1829C4—41no—
1830C4—42no—
1831C4C2×#55114yes—
1832C4C2×#55114yes—
1833C2—24no—
1834C2—44no—
1835C2—44no—
1836C2—42no—
1837C2—82no—
1838C2—81no—
1839C2C22×#55111yescharacteristic
1840C2#6280511yescharacteristic
1841C2#6285811yescharacteristic
1842C2#6293011yescharacteristic
1843C2#6294411yescharacteristic
1844C2#6300011yescharacteristic
1845C2#6300811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35251C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59472C2semidirect
2. #59469C2semidirect
3. #59382C2semidirect
4. #59381C2semidirect
5. #59377C2semidirect
6. #59376C2semidirect
7. #45320C2semidirect
8. #45088C2semidirect
9. #45087C2semidirect
10. #45060C2semidirect
11. #43245C2semidirect
12. #43200C2semidirect
13. #39564C2semidirect
14. #39562C2semidirect
15. #37971C2semidirect
16. #37969C2semidirect
17. #37859C2semidirect
18. #37851C2semidirect
19. #36208C2semidirect
20. #36190C2semidirect
21. #35575C2semidirect
22. #35544C2semidirect
23. #35542C2semidirect
24. #35530C2semidirect
25. #35257C2semidirect
26. #35255C2semidirect
28. C2×#2497C2semidirect
29. #34742C2semidirect
30. #34267C2semidirect
31. #34252C2semidirect
32. #34188C2semidirect
33. #34175C2semidirect
34. C22⋊C4×#41C2semidirect
35. C4×#537C2semidirect
37. C2×#544C22semidirect
45. C2×C4×#41C22semidirect
46. #2857C22semidirect
47. #2855C22semidirect
48. #2854C22semidirect
49. #2851C22semidirect
52. #2798C22semidirect
53. #2786C22semidirect
54. #2782C22semidirect
55. #2763C22semidirect
56. #2761C22semidirect
57. #2758C22semidirect
58. #2757C22semidirect
59. #2755C22semidirect
60. #2753C22semidirect
62. #2745C22semidirect
63. #2743C22semidirect
64. #2743C22semidirect
66. #2740C22semidirect
67. #2740C22semidirect
68. #2739C22semidirect
71. #2730C22semidirect
72. #2706C22semidirect
73. #2705C22semidirect
74. #2696C22semidirect
75. #2696C22semidirect
76. #2629C22semidirect
77. #2628C22semidirect
78. #2625C22semidirect
79. #2624C22semidirect
82. #2610C22semidirect
83. #2609C22semidirect
84. #2607C22semidirect
85. #2601C22semidirect
86. #2598C22semidirect
87. #2597C22semidirect
88. #2595C22semidirect
89. #2578C22semidirect
90. #2576C22semidirect
91. #2575C22semidirect
94. #2569C22semidirect
95. #2564C22semidirect
98. #2562C22semidirect
99. #2557C22semidirect
100. #2547C22semidirect
102. #2532C22semidirect
104. #2527C22semidirect
106. #2520C22semidirect
107. #2520C22semidirect
109. #2516C22semidirect
110. #2510C22semidirect
111. #2505C22semidirect
112. #2502C22semidirect
113. #2501C22semidirect
114. #2500C22semidirect
115. #2499C22semidirect
116. #2498C22semidirect
123. #2497C22semidirect
124. #2497C22semidirect
125. #2497C22semidirect
126. #2497C22semidirect
127. #2496C22semidirect
128. #2496C22semidirect
130. #2495C22semidirect
132. #2494C22semidirect
133. #2493C22semidirect
135. #2491C22semidirect
137. #2489C22semidirect
138. #2488C22semidirect
140. #2479C22semidirect
142. #2467C22semidirect
143. #2461C22semidirect
144. #2457C22semidirect
145. #2454C22semidirect
146. #2454C22semidirect
147. #2453C22semidirect
148. #2453C22semidirect
149. #2452C22semidirect
150. #2452C22semidirect
151. #2451C22semidirect
152. #2451C22semidirect
153. #2450C22semidirect
154. #2449C22semidirect
155. #2444C22semidirect
156. #2443C22semidirect
157. #2443C22semidirect
158. #2443C22semidirect
159. #2442C22semidirect
160. #2441C22semidirect
161. #2440C22semidirect
162. #2439C22semidirect
163. #2438C22semidirect
167. #2423C22semidirect
168. #2423C22semidirect
169. #2423C22semidirect
170. #2423C22semidirect
172. #2422C22semidirect
173. #2422C22semidirect
174. #2422C22semidirect
175. #2422C22semidirect
177. #2421C22semidirect
178. #2421C22semidirect
180. #2420C22semidirect
181. #2420C22semidirect
182. #2419C22semidirect
183. #2419C22semidirect
184. #2419C22semidirect
188. #2417C22semidirect
197. #2395C22semidirect
198. C2×#400C22semidirect
201. #2368C22semidirect
202. #2364C22semidirect
203. #2363C22semidirect
204. #2362C22semidirect
205. #2361C22semidirect
206. #2361C22semidirect
207. #2360C22semidirect
208. #2359C22semidirect
209. #2357C22semidirect
210. #2356C22semidirect
211. #2355C22semidirect
212. #2355C22semidirect
213. #2355C22semidirect
214. #2354C22semidirect
215. #2354C22semidirect
216. #2354C22semidirect
217. #2352C22semidirect
218. #2352C22semidirect
219. #2347C22semidirect
220. #2346C22semidirect
221. #2345C22semidirect
222. #2344C22semidirect
242. #2325C22semidirect
243. #2324C22semidirect
244. #2324C22semidirect
245. #2324C22semidirect
246. #2323C22semidirect
247. #2323C22semidirect
248. #2323C22semidirect
249. #2318C22semidirect
250. #2317C22semidirect
251. #2317C22semidirect
252. #2316C22semidirect
253. #2314C22semidirect
254. #2314C22semidirect
261. #2311C22semidirect
262. #2311C22semidirect
263. C4×C22⋊Q8C22semidirect
264. C4×C22⋊Q8C22semidirect
265. C4×C22⋊Q8C22semidirect
267. C4×#123C22semidirect
268. C4×#121C22semidirect
269. C4×#121C22semidirect
270. C4×#121C22semidirect
271. C4×#121C22semidirect
276. #2297C22semidirect
277. #2296C22semidirect
278. C2×#389C22semidirect
279. C2×#389C22semidirect
280. #2290C22semidirect
282. C2×#387C22semidirect
283. #2285C22semidirect
284. #2285C22semidirect
285. #2285C22semidirect
286. C2×#384C22semidirect
294. #2274C22semidirect
295. #2274C22semidirect
296. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#594722
#594692
#593822
#593812
#593772
#593762
#453202
#450882
#450872
#450602
#432452
#432002
#395642
#395622
#379712
#379692
#378592
#378512
#362082
#361902
#355752
#355442
#355422
#355302
#352572
#352552
#352512
C2×#24972
#347422
#342672
#342522
#341882
#341752
C22⋊C4×#412
C4×#5372