Finite Group Databasebeta

← #7646098

Subgroups — #7646098

Order 512.

5480 conjugacy classes of subgroups.

The subgroup lattice has 1907 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42784C212yesmaximal, complemented
2#42778C212yesmaximal, complemented
3#42736C212yesmaximal, complemented
4#42730C212yesmaximal, complemented
5#42629C212yesmaximal, complemented
6#42620C212yesmaximal, complemented
7#42584C212yesmaximal, complemented
8#42578C212yesmaximal, complemented
9#40198C212yesmaximal, complemented
10#40193C212yesmaximal, complemented
11#40126C212yesmaximal, complemented
12#40116C212yesmaximal, complemented
13#39793C212yesmaximal, complemented
14#39785C212yesmaximal, complemented
15#39246C212yesmaximal, complemented
16#39237C212yesmaximal, complemented
17#37493C214yesmaximal, complemented
18#36987C214yesmaximal, complemented
19#36794C214yesmaximal, complemented
20#35585C211yesmaximal, characteristic, complemented
21#35565C211yesmaximal, characteristic, complemented
22#35564C211yesmaximal, characteristic, complemented
23#35563C211yesmaximal, characteristic, complemented
24#35256C211yesmaximal, characteristic, complemented
25#35254C211yesmaximal, characteristic, complemented
26#35165C211yesmaximal, characteristic, complemented
27#35157C211yesmaximal, characteristic, complemented
28#35152C211yesmaximal, characteristic, complemented
29#35150C211yesmaximal, characteristic, complemented
30#35056C214yesmaximal, complemented
31#34743C211yesmaximal, characteristic, complemented
32#34742C211yesmaximal, characteristic, complemented
33#34252C211yesmaximal, characteristic, complemented
34C2×#2363C211yesmaximal, characteristic, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48C2×C4×#41C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50C22×#117C2211yescharacteristic
51#2856C2212yescomplemented
52#2854C2214yes—
53#2854C2212yescomplemented
54#2854C2212yescomplemented
55#2853C2214yes—
56#2850C2212yescomplemented
57#2849C2214yes—
58#2847C2214yes—
59#2829C2214yescomplemented
60#2829C2214yescomplemented
61#2828C2214yescomplemented
62#2828C2214yescomplemented
63#2803C2214yescomplemented
64#2803C2214yescomplemented
65#2800C2214yescomplemented
66#2800C2214yescomplemented
67#2797C2214yescomplemented
68#2786C2214yescomplemented
69#2777C2214yescomplemented
70#2773C2214yescomplemented
71#2761C2214yescomplemented
72#2756C2214yescomplemented
73#2756C2214yescomplemented
74#2753C2214yescomplemented
75#2753C2214yescomplemented
76#2753C2214yescomplemented
77#2752C2214yescomplemented
78#2749C2214yescomplemented
79#2741C2214yescomplemented
80#2740C2214yescomplemented
81#2740C2214yescomplemented
82#2711C2214yescomplemented
83#2709C2214yescomplemented
84#2709C2214yescomplemented
85#2707C2214yescomplemented
86#2706C2214yescomplemented
87#2703C2214yescomplemented
88#2703C2214yescomplemented
89#2699C2214yescomplemented
90#2699C2214yescomplemented
91#2688C2214yescomplemented
92#2673C2214yescomplemented
93#2673C2214yescomplemented
94#2671C2214yescomplemented
95#2667C2214yescomplemented
96#2661C2214yescomplemented
97#2661C2214yescomplemented
98#2661C2214yescomplemented
99#2649C2214yescomplemented
100#2648C2214yescomplemented
101#2648C2214yescomplemented
102#2648C2214yescomplemented
103#2644C2214yescomplemented
104#2641C2214yescomplemented
105#2624C2212yescomplemented
106#2624C2212yescomplemented
107#2624C2214yescomplemented
108#2622C2214yes—
109#2622C2214yes—
110#2620C2212yescomplemented
111#2619C2214yescomplemented
112#2619C2212yescomplemented
113#2617C2214yes—
114#2617C2214yes—
115#2569C2214yes—
116#2547C2212yescomplemented
117#2544C2212yescomplemented
118#2544C2212yescomplemented
119#2543C2214yes—
120#2541C2212yes—
121#2541C2212yes—
122#2541C2212yes—
123#2541C2212yes—
124#2541C2212yescomplemented
125#2540C2212yes—
126#2540C2212yes—
127#2540C2212yes—
128#2540C2212yes—
129#2539C2214yes—
130#2537C2212yescomplemented
131#2537C2212yescomplemented
132#2535C2212yescomplemented
133#2535C2212yescomplemented
134#2534C2214yes—
135#2531C2214yescomplemented
136#2526C2214yescomplemented
137#2522C2214yescomplemented
138#2516C2214yescomplemented
139#2513C2214yescomplemented
140#2509C2212yescomplemented
141#2509C2212yescomplemented
142#2508C2212yescomplemented
143#2508C2212yescomplemented
144#2507C2212yescomplemented
145#2507C2212yescomplemented
146#2506C2212yescomplemented
147#2506C2212yescomplemented
148#2500C2212yescomplemented
149#2500C2212yescomplemented
150#2499C2212yescomplemented
151#2499C2212yescomplemented
152#2490C2214yescomplemented
153#2485C2212yescomplemented
154#2485C2212yescomplemented
155#2485C2212yescomplemented
156#2485C2212yescomplemented
157#2476C2214yescomplemented
158#2471C2214yescomplemented
159#2464C2214yescomplemented
160#2457C2214yescomplemented
161#2448C2212yescomplemented
162#2448C2212yescomplemented
163#2447C2212yescomplemented
164#2447C2212yescomplemented
165#2445C2214yescomplemented
166#2445C2212yescomplemented
167#2445C2212yescomplemented
168#2445C2212yescomplemented
169#2445C2212yescomplemented
170#2442C2214yes—
171#2433C2214yes—
172#2429C2211yescharacteristic, complemented
173#2429C2212yescomplemented
174#2429C2211yescharacteristic, complemented
175#2428C2212yes—
176#2428C2212yes—
177#2428C2214yescomplemented
178#2428C2212yescomplemented
179#2428C2211yescharacteristic, complemented
180#2428C2212yescomplemented
181#2428C2212yescomplemented
182#2428C2211yescharacteristic, complemented
183#2427C2211yescharacteristic, complemented
184#2427C2212yescomplemented
185#2427C2211yescharacteristic, complemented
186#2426C2212yes—
187#2426C2212yes—
188#2426C2212yescomplemented
189#2426C2212yescomplemented
190#2426C2212yescomplemented
191#2426C2211yescharacteristic, complemented
192#2426C2211yescharacteristic, complemented
193#2425C2212yes—
194#2425C2212yes—
195#2424C2212yes—
196#2424C2214yes—
197#2424C2214yes—
198#2424C2212yes—
199#2423C2211yescharacteristic, complemented
200#2423C2211yescharacteristic, complemented
201#2422C2212yescomplemented
202#2422C2212yescomplemented
203#2422C2211yescharacteristic, complemented
204#2422C2211yescharacteristic, complemented
205#2421C2211yescharacteristic, complemented
206#2421C2211yescharacteristic, complemented
207#2420C2212yescomplemented
208#2420C2211yescharacteristic, complemented
209#2420C2212yescomplemented
210#2420C2211yescharacteristic, complemented
211#2419C2212yes—
212#2419C2212yes—
213#2418C2212yes—
214#2418C2214yes—
215#2418C2214yes—
216#2418C2212yes—
217#2417C2212yescomplemented
218#2416C2212yes—
219#2416C2212yes—
220#2416C2214yes—
221#2416C2212yescomplemented
222#2415C2212yescomplemented
223#2415C2212yescomplemented
224#2415C2212yescomplemented
225#2415C2212yescomplemented
226#2415C2212yescomplemented
227#2414C2212yes—
228#2414C2212yes—
229#2414C2212yescomplemented
230#2414C2212yescomplemented
231#2414C2212yescomplemented
232#2414C2212yescomplemented
233#2414C2212yescomplemented
234#2408C2214yes—
235#2395C2212yescomplemented
236#2395C2212yescomplemented
237#2392C2212yescomplemented
238#2392C2212yescomplemented
239#2363C2212yes—
240#2363C2212yes—
241#2363C2212yes—
242#2363C2212yes—
243#2363C2212yes—
244#2363C2212yes—
245#2363C2212yes—
246#2363C2212yes—
247#2357C2212yescomplemented
248#2356C2212yescomplemented
249#2355C2212yescomplemented
250#2354C2212yescomplemented
251#2347C2212yescomplemented
252#2346C2212yescomplemented
253#2345C2212yescomplemented
254#2344C2212yescomplemented
255#2335C2214yescomplemented
256#2335C2214yescomplemented
257#2333C2214yescomplemented
258#2333C2214yescomplemented
259#2325C2214yes—
260#2324C2212yescomplemented
261#2324C2212yescomplemented
262#2323C2212yescomplemented
263#2323C2212yescomplemented
264#2318C2214yes—
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2316C2211yescharacteristic
268#2316C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2309C2211yescharacteristic
274C4×C22⋊Q8C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×#123C2212yescomplemented
277C4×#123C2212yescomplemented
278C4×#121C2214yes—
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281C4×#121C2212yescomplemented
282C4×#121C2212yescomplemented
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287C2×#390C2212yes—
288C2×#390C2211yescharacteristic
289C2×#389C2211yescharacteristic
290#2290C2214yes—
291C2×#388C2212yes—
292C2×#386C2212yes—
293#2285C2211yescharacteristic
294#2280C2211yescharacteristic
295#2274C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C22⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C23×D4C2312yes—
304C24×C4C2311yescharacteristic
305C24×C4C2312yes—
306#537—28no—
307#537—44no—
308#535—44no—
309#535—44no—
310#535—44no—
311#532—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2314yes—
318C2×#127C2314yes—
319C2×#125C2314yes—
320C2×#124C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2312yes—
325#525—44no—
326#525—44no—
327#525—44no—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×#121—28no—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2312yes—
385C2×#120C2312yes—
386C2×#120C2312yes—
387#520—28no—
388C4×#41—44no—
389C4×#41—44no—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×D4—44no—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2314yes—
419C2×#117—44no—
420C2×#117C2311yescharacteristic
421C2×#117C2311yescharacteristic
422C2×#117C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2314yes—
433C22×C4⋊C4C2311yescharacteristic
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2311yescharacteristic
438C22×C22⋊C4C2312yes—
439C22×C22⋊C4C2312yes—
440C22×C22⋊C4C2312yes—
441C22×C22⋊C4C2311yescharacteristic
442C22×C22⋊C4C2311yescharacteristic
443C22×C22⋊C4C2312yes—
444C22×C22⋊C4C2312yes—
445C22×C42C2311yescharacteristic
446C22×C42C2311yescharacteristic
447C22×C42C2312yes—
448C22×C42C2312yes—
449C22×C42C2312yes—
450C22×C42C2312yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2312yes—
456#400C2312yes—
457#399C2312yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2312yes—
462#399C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2312yes—
468#398C2312yes—
469#398C2312yes—
470#398C2312yes—
471#398C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2312yes—
488#397C2312yes—
489#397C2312yes—
490#397C2314yes—
491#397C2312yes—
492#397C2312yes—
493#397C2312yes—
494#397C2312yes—
495#396C2312yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2312yes—
501#396C2312yes—
502#396C2312yes—
503#396C2314yes—
504#396C2314yes—
505#394C2312yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2312yes—
538#394C2312yes—
539#394C2312yes—
540#394C2312yes—
541#394C2314yes—
542#394C2314yes—
543#394C2312yes—
544#394C2312yes—
545#394C2314yes—
546#392C2312yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2312yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2311yescharacteristic
570#391C2311yescharacteristic
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2312yes—
589#390C2314yes—
590#390C2312yes—
591#390C2311yescharacteristic
592#390C2314yes—
593#390C2311yescharacteristic
594#390C2312yes—
595#390C2312yes—
596#390C2314yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#390C2314yes—
603#390C2312yes—
604#390C2311yescharacteristic
605#390C2311yescharacteristic
606#390C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2312yes—
621#389C2314yes—
622#389C2314yes—
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2314yes—
632#389C2314yes—
633#389C2314yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#387C2314yes—
688#387C2312yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2312yes—
694#387C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#385C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2312yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#384C2312yes—
742#384C2312yes—
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#383C2314yes—
746#382C2312yes—
747#382C2312yes—
748#382C2314yes—
749#382C2314yes—
750#382C2311yescharacteristic
751#382C2311yescharacteristic
752#381C2314yes—
753#381C2312yes—
754#381C2314yes—
755#381C2314yes—
756#381C2312yes—
757#381C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2312yes—
771#380C2314yes—
772#380C2314yes—
773#380C2312yes—
774#380C2314yes—
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2312yes—
780#379C2314yes—
781#379C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820#376C2314yes—
821C2×#95C2312yes—
822C2×#95C2312yes—
823C2×#95C2311yescharacteristic
824C2×#95C2311yescharacteristic
825C25C2412yes—
826C25C2411yescharacteristic
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×D4—24no—
840C22×D4—28no—
841C22×D4—24no—
842C22×D4—24no—
843C22×D4—82no—
844C22×D4—82no—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C23×C4—24no—
872C23×C4—24no—
873C23×C4—24no—
874C23×C4—44no—
875C23×C4—44no—
876C23×C4—82no—
877C23×C4C2411yescharacteristic
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2414yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2414yes—
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C4⋊Q8—42no—
901#127—42no—
902#127—44no—
903#127—44no—
904#127—44no—
905#127—84no—
906#127—84no—
907#125—84no—
908#124—42no—
909#124—42no—
910#124—44no—
911#124—44no—
912#124—44no—
913#123—44no—
914#123—48no—
915#123—44no—
916#123—48no—
917#123—44no—
918#123—44no—
919#123—44no—
920#123—84no—
921#123—84no—
922C22⋊Q8—28no—
923C22⋊Q8—28no—
924C22⋊Q8—42no—
925C22⋊Q8—42no—
926C22⋊Q8—42no—
927C22⋊Q8—42no—
928C22⋊Q8—42no—
929C22⋊Q8—42no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932#121—216no—
933#121—28no—
934#121—28no—
935#121—28no—
936#121—28no—
937#121—28no—
938#121—28no—
939#121—44no—
940#121—48no—
941#121—44no—
942#121—48no—
943#121—42no—
944#121—42no—
945#121—42no—
946#121—42no—
947#121—42no—
948#121—42no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—48no—
960#121—84no—
961#121—84no—
962#121—84no—
963#121—84no—
964#121—84no—
965#120—44no—
966#120—44no—
967#120—44no—
968#120—48no—
969#120—48no—
970#120—48no—
971C4×Q8—28no—
972C4×Q8—42no—
973C4×Q8—42no—
974C4×Q8—42no—
975C4×Q8—42no—
976C4×D4—216no—
977C4×D4—28no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—42no—
983C4×D4—42no—
984C4×D4—42no—
985C4×D4—42no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—84no—
999#117—24no—
1000#117—24no—
1001#117—24no—
1002#117—24no—
1003#117—24no—
1004#117—28no—
1005#117—44no—
1006#117—44no—
1007#117—44no—
1008#117—44no—
1009#117—44no—
1010#117—44no—
1011#117—84no—
1012C2×C4⋊C4—24no—
1013C2×C4⋊C4—24no—
1014C2×C4⋊C4—28no—
1015C2×C4⋊C4—82no—
1016C2×C4⋊C4#4118yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C22⋊C4—28no—
1071C2×C22⋊C4—42no—
1072C2×C22⋊C4—42no—
1073C2×C22⋊C4—44no—
1074C2×C22⋊C4—44no—
1075C2×C22⋊C4—44no—
1076C2×C22⋊C4—82no—
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C42—24no—
1156C2×C42—24no—
1157C2×C42—44no—
1158C2×C42—44no—
1159C2×C42—44no—
1160C2×C42—82no—
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2414yes—
1168C2×C42C2412yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2414yes—
1176C2×C42C2414yes—
1177C2×C42C2414yes—
1178C2×C42C2414yes—
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2412yes—
1183C2×C42C2414yes—
1184C2×C42C2414yes—
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2414yes—
1193#95C2414yes—
1194#95C2411yescharacteristic
1195#95C2414yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239C24—24no—
1240C24—22no—
1241C24—22no—
1242C24—24no—
1243C24—22no—
1244C24—24no—
1245C24—41no—
1246C24—41no—
1247C24—42no—
1248C24—42no—
1249C24—42no—
1250C24—42no—
1251C24—41no—
1252C24—41no—
1253C24C2514yes—
1254C24C2511yescharacteristic
1255C24C2511yescharacteristic
1256C24C2512yes—
1257C24C2512yes—
1258C24C2512yes—
1259C24C2511yescharacteristic
1260#41—416no—
1261#41—416no—
1262#41—416no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—22no—
1266C2×Q8—22no—
1267C2×Q8—22no—
1268C2×Q8—22no—
1269C2×Q8—22no—
1270C2×Q8—22no—
1271C2×Q8—22no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—28no—
1287C2×D4—28no—
1288C2×D4—28no—
1289C2×D4—24no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—22no—
1293C2×D4—24no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—44no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—416no—
1351C2×D4—816no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—28no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—28no—
1388C22×C4—41no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—41no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—42no—
1401C22×C4—41no—
1402C22×C4—42no—
1403C22×C4—41no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—44no—
1411C22×C4—42no—
1412C22×C4—44no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—416no—
1418C22×C4—816no—
1419C22×C4C2×#4118yes—
1420C22×C4C2×#4114yes—
1421C22×C4H(5,𝔽2)14yes—
1422C22×C4H(5,𝔽2)14yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2514yes—
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2514yes—
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2514yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C4⋊C4—22no—
1452C4⋊C4—28no—
1453C4⋊C4—22no—
1454C4⋊C4—28no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—44no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—42no—
1489C4⋊C4—44no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—42no—
1494C4⋊C4—44no—
1495C4⋊C4—42no—
1496C4⋊C4—44no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—44no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4C2×#4118yes—
1503C4⋊C4C2×#4118yes—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—28no—
1514C22⋊C4—22no—
1515C22⋊C4—22no—
1516C22⋊C4—28no—
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—44no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—44no—
1581C22⋊C4—42no—
1582C42—28no—
1583C42—24no—
1584C42—22no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—22no—
1590C42—22no—
1591C42—22no—
1592C42—24no—
1593C42—24no—
1594C42—24no—
1595C42—24no—
1596C42—44no—
1597C42—44no—
1598C42—42no—
1599C42—42no—
1600C42—42no—
1601C42—42no—
1602C42—44no—
1603C42—44no—
1604C42—44no—
1605C42—44no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—24no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—24no—
1624C23—24no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—21no—
1629C23—21no—
1630C23—22no—
1631C23—24no—
1632C23—21no—
1633C23—21no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—24no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—24no—
1643C23—22no—
1644C23—22no—
1645C23—21no—
1646C23—21no—
1647C23—22no—
1648C23—24no—
1649C23—22no—
1650C23—21no—
1651C23—21no—
1652C23—44no—
1653C23—48no—
1654C23—48no—
1655C23—44no—
1656C23—44no—
1657C23—48no—
1658C23—84no—
1659C23—82no—
1660C23—82no—
1661C23—84no—
1662C23—82no—
1663C23—84no—
1664C23—82no—
1665C23—84no—
1666C23C22×#4112yes—
1667C23C2×H(5,𝔽2)12yes—
1668C23C2×H(5,𝔽2)12yes—
1669C23C2611yescharacteristic
1670Q8—44no—
1671Q8—44no—
1672Q8—44no—
1673D4—48no—
1674D4—48no—
1675D4—48no—
1676D4—48no—
1677D4—48no—
1678D4—44no—
1679D4—44no—
1680D4—44no—
1681D4—88no—
1682D4—84no—
1683D4—88no—
1684D4—88no—
1685D4—84no—
1686D4—84no—
1687D4—84no—
1688D4—84no—
1689D4—84no—
1690D4—84no—
1691D4—84no—
1692D4—164no—
1693D4—164no—
1694D4—164no—
1695D4—164no—
1696D4—164no—
1697D4—164no—
1698D4—164no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—24no—
1729C2×C4—24no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—24no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—24no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—24no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—48no—
1775C2×C4—44no—
1776C2×C4—44no—
1777C2×C4—48no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—48no—
1784C2×C4—48no—
1785C2×C4—48no—
1786C2×C4—88no—
1787C2×C4—84no—
1788C2×C4—84no—
1789C2×C4—88no—
1790C2×C4—82no—
1791C2×C4—82no—
1792C2×C4—84no—
1793C2×C4—84no—
1794C2×C4—84no—
1795C2×C4—88no—
1796C2×C4#540116yes—
1797C2×C4C22×#4118yes—
1798C2×C4C22×#4112yes—
1799C2×C4C22×#4112yes—
1800C2×C4C2×H(5,𝔽2)12yes—
1801C2×C4C2×H(5,𝔽2)12yes—
1802C2×C4C2×H(5,𝔽2)12yes—
1803C2×C4C2×H(5,𝔽2)12yes—
1804C2×C4#58512yes—
1805C2×C4#58512yes—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—44no—
1816C22—41no—
1817C22—41no—
1818C22—42no—
1819C22—41no—
1820C22—41no—
1821C22—42no—
1822C22—42no—
1823C22—44no—
1824C22—44no—
1825C22—42no—
1826C22—41no—
1827C22—42no—
1828C22—42no—
1829C22—41no—
1830C22—42no—
1831C22—42no—
1832C22—41no—
1833C22—41no—
1834C22—42no—
1835C22—44no—
1836C22—41no—
1837C22—41no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—44no—
1842C22—42no—
1843C22—41no—
1844C22—42no—
1845C22—42no—
1846C22—44no—
1847C22—41no—
1848C22—42no—
1849C22—42no—
1850C22—41no—
1851C22—41no—
1852C22—42no—
1853C22—44no—
1854C22—88no—
1855C22—816no—
1856C22C2×#54014yes—
1857C22C23×#4111yescharacteristic
1858C22C22×H(5,𝔽2)11yescharacteristic
1859C22C22×H(5,𝔽2)11yescharacteristic
1860C22C2×#58511yescharacteristic
1861C22C2×#58511yescharacteristic
1862C22H(7,𝔽2)11yescharacteristic
1863C22H(7,𝔽2)11yescharacteristic
1864C4—28no—
1865C4—22no—
1866C4—22no—
1867C4—42no—
1868C4—42no—
1869C4—44no—
1870C4—41no—
1871C4—42no—
1872C4—41no—
1873C4—41no—
1874C4—42no—
1875C4—42no—
1876C4—42no—
1877C4—41no—
1878C4—41no—
1879C4—42no—
1880C4—42no—
1881C4—42no—
1882C4—41no—
1883C4—41no—
1884C4—44no—
1885C4—42no—
1886C4—41no—
1887C4—42no—
1888C4—42no—
1889C4—42no—
1890C4C2×#54014yes—
1891C4C2×#54014yes—
1892C2—24no—
1893C2—82no—
1894C2—82no—
1895C2—82no—
1896C2—81no—
1897C2—81no—
1898C2—84no—
1899C2C22×#54011yescharacteristic
1900C2#6279311yescharacteristic
1901C2#6284611yescharacteristic
1902C2#6292411yescharacteristic
1903C2#6293011yescharacteristic
1904C2#6295511yescharacteristic
1905C2#6295711yescharacteristic
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. #42784C2semidirect
2. #42778C2semidirect
3. #42736C2semidirect
4. #42730C2semidirect
5. #42629C2semidirect
6. #42620C2semidirect
7. #42584C2semidirect
8. #42578C2semidirect
9. #40198C2semidirect
10. #40193C2semidirect
11. #40126C2semidirect
12. #40116C2semidirect
13. #39793C2semidirect
14. #39785C2semidirect
15. #39246C2semidirect
16. #39237C2semidirect
17. #37493C2semidirect
18. #36987C2semidirect
19. #36794C2semidirect
20. #35585C2semidirect
21. #35565C2semidirect
22. #35564C2semidirect
23. #35563C2semidirect
24. #35256C2semidirect
25. #35254C2semidirect
26. #35165C2semidirect
27. #35157C2semidirect
28. #35152C2semidirect
29. #35150C2semidirect
30. #35056C2semidirect
31. #34743C2semidirect
32. #34742C2semidirect
33. #34252C2semidirect
34. C2×#2363C2semidirect
35. C4×#537C2semidirect
51. #2856C22semidirect
53. #2854C22semidirect
54. #2854C22semidirect
56. #2850C22semidirect
59. #2829C22semidirect
60. #2829C22semidirect
61. #2828C22semidirect
62. #2828C22semidirect
63. #2803C22semidirect
64. #2803C22semidirect
65. #2800C22semidirect
66. #2800C22semidirect
67. #2797C22semidirect
68. #2786C22semidirect
69. #2777C22semidirect
70. #2773C22semidirect
71. #2761C22semidirect
72. #2756C22semidirect
73. #2756C22semidirect
74. #2753C22semidirect
75. #2753C22semidirect
76. #2753C22semidirect
77. #2752C22semidirect
78. #2749C22semidirect
79. #2741C22semidirect
80. #2740C22semidirect
81. #2740C22semidirect
82. #2711C22semidirect
83. #2709C22semidirect
84. #2709C22semidirect
85. #2707C22semidirect
86. #2706C22semidirect
87. #2703C22semidirect
88. #2703C22semidirect
89. #2699C22semidirect
90. #2699C22semidirect
91. #2688C22semidirect
92. #2673C22semidirect
93. #2673C22semidirect
94. #2671C22semidirect
95. #2667C22semidirect
96. #2661C22semidirect
97. #2661C22semidirect
98. #2661C22semidirect
99. #2649C22semidirect
100. #2648C22semidirect
101. #2648C22semidirect
102. #2648C22semidirect
103. #2644C22semidirect
104. #2641C22semidirect
105. #2624C22semidirect
106. #2624C22semidirect
107. #2624C22semidirect
110. #2620C22semidirect
111. #2619C22semidirect
112. #2619C22semidirect
116. #2547C22semidirect
117. #2544C22semidirect
118. #2544C22semidirect
124. #2541C22semidirect
130. #2537C22semidirect
131. #2537C22semidirect
132. #2535C22semidirect
133. #2535C22semidirect
135. #2531C22semidirect
136. #2526C22semidirect
137. #2522C22semidirect
138. #2516C22semidirect
139. #2513C22semidirect
140. #2509C22semidirect
141. #2509C22semidirect
142. #2508C22semidirect
143. #2508C22semidirect
144. #2507C22semidirect
145. #2507C22semidirect
146. #2506C22semidirect
147. #2506C22semidirect
148. #2500C22semidirect
149. #2500C22semidirect
150. #2499C22semidirect
151. #2499C22semidirect
152. #2490C22semidirect
153. #2485C22semidirect
154. #2485C22semidirect
155. #2485C22semidirect
156. #2485C22semidirect
157. #2476C22semidirect
158. #2471C22semidirect
159. #2464C22semidirect
160. #2457C22semidirect
161. #2448C22semidirect
162. #2448C22semidirect
163. #2447C22semidirect
164. #2447C22semidirect
165. #2445C22semidirect
166. #2445C22semidirect
167. #2445C22semidirect
168. #2445C22semidirect
169. #2445C22semidirect
172. #2429C22semidirect
173. #2429C22semidirect
174. #2429C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
179. #2428C22semidirect
180. #2428C22semidirect
181. #2428C22semidirect
182. #2428C22semidirect
183. #2427C22semidirect
184. #2427C22semidirect
185. #2427C22semidirect
188. #2426C22semidirect
189. #2426C22semidirect
190. #2426C22semidirect
191. #2426C22semidirect
192. #2426C22semidirect
199. #2423C22semidirect
200. #2423C22semidirect
201. #2422C22semidirect
202. #2422C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2421C22semidirect
206. #2421C22semidirect
207. #2420C22semidirect
208. #2420C22semidirect
209. #2420C22semidirect
210. #2420C22semidirect
217. #2417C22semidirect
221. #2416C22semidirect
222. #2415C22semidirect
223. #2415C22semidirect
224. #2415C22semidirect
225. #2415C22semidirect
226. #2415C22semidirect
229. #2414C22semidirect
230. #2414C22semidirect
231. #2414C22semidirect
232. #2414C22semidirect
233. #2414C22semidirect
235. #2395C22semidirect
236. #2395C22semidirect
237. #2392C22semidirect
238. #2392C22semidirect
247. #2357C22semidirect
248. #2356C22semidirect
249. #2355C22semidirect
250. #2354C22semidirect
251. #2347C22semidirect
252. #2346C22semidirect
253. #2345C22semidirect
254. #2344C22semidirect
255. #2335C22semidirect
256. #2335C22semidirect
257. #2333C22semidirect
258. #2333C22semidirect
260. #2324C22semidirect
261. #2324C22semidirect
262. #2323C22semidirect
263. #2323C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×#123C22semidirect
277. C4×#123C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect

Maximal subgroups

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

subgroupindex
#427842
#427782
#427362
#427302
#426292
#426202
#425842
#425782
#401982
#401932
#401262
#401162
#397932
#397852
#392462
#392372
#374932
#369872
#367942
#355852
#355652
#355642
#355632
#352562
#352542
#351652
#351572
#351522
#351502
#350562
#347432
#347422
#342522
C2×#23632
C4×#5372