Finite Group Databasebeta

← #8424388

Subgroups — #8424388

Order 512.

5475 conjugacy classes of subgroups.

The subgroup lattice has 1851 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59652C211yesmaximal, characteristic, complemented
3#59412C211yesmaximal, characteristic, complemented
4#59308C212yesmaximal, complemented
5#59097C212yesmaximal, complemented
6#53680C214yesmaximal, complemented
7#53535C214yesmaximal, complemented
8#53128C212yesmaximal, complemented
9#53116C212yesmaximal, complemented
10#53056C212yesmaximal, complemented
11#52971C212yesmaximal, complemented
12#52332C214yesmaximal, complemented
13#42982C212yesmaximal, complemented
14#42969C212yesmaximal, complemented
15#42732C212yesmaximal, complemented
16#42503C212yesmaximal, complemented
17#41264C214yesmaximal, complemented
18#40169C212yesmaximal, complemented
19#39876C212yesmaximal, complemented
20#39362C211yesmaximal, characteristic, complemented
21#39169C211yesmaximal, characteristic, complemented
22#38956C211yesmaximal, characteristic, complemented
23#38953C211yesmaximal, characteristic, complemented
24#38902C212yesmaximal, complemented
25#37748C212yesmaximal, complemented
26#37636C211yesmaximal, characteristic, complemented
27#37631C211yesmaximal, characteristic, complemented
28#37554C212yesmaximal, complemented
29#37498C212yesmaximal, complemented
30#36609C211yesmaximal, characteristic, complemented
31#36415C211yesmaximal, characteristic, complemented
32#36164C211yesmaximal, characteristic, complemented
33#34934C211yesmaximal, characteristic, complemented
34#34925C211yesmaximal, characteristic, complemented
35#34918C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#554C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic
39C2×#550C2212yescomplemented
40C2×#547C2211yescharacteristic
41C2×#547C2211yescharacteristic, complemented
42C2×#546C2212yes—
43C2×D42C2211yescharacteristic
44C2×#535C2212yes—
45C2×#532C2212yescomplemented
46C2×#532C2212yescomplemented
47C2×#529C2212yescomplemented
48#2862C2211yescharacteristic, complemented
49#2858C2211yescharacteristic
50#2858C2211yescharacteristic
51#2850C2212yes—
52#2850C2212yes—
53#2838C2214yescomplemented
54#2832C2214yescomplemented
55#2830C2214yescomplemented
56#2829C2214yescomplemented
57#2828C2214yescomplemented
58#2827C2214yescomplemented
59#2826C2214yescomplemented
60#2825C2214yescomplemented
61#2825C2214yescomplemented
62#2824C2214yescomplemented
63#2820C2214yescomplemented
64#2819C2214yescomplemented
65#2815C2214yescomplemented
66#2812C2214yescomplemented
67#2788C2214yescomplemented
68#2779C2214yescomplemented
69#2772C2214yescomplemented
70#2753C2214yescomplemented
71#2750C2214yescomplemented
72#2749C2214yescomplemented
73#2749C2214yescomplemented
74#2735C2214yescomplemented
75#2730C2214yescomplemented
76#2710C2214yescomplemented
77#2703C2214yescomplemented
78#2703C2214yescomplemented
79#2703C2214yescomplemented
80#2699C2214yescomplemented
81#2697C2214yescomplemented
82#2696C2214yescomplemented
83#2694C2214yescomplemented
84#2688C2214yescomplemented
85#2686C2214yescomplemented
86#2684C2214yescomplemented
87#2684C2214yescomplemented
88#2684C2214yescomplemented
89#2682C2214yescomplemented
90#2678C2214yes—
91#2678C2214yes—
92#2678C2214yes—
93#2676C2214yescomplemented
94#2676C2214yescomplemented
95#2673C2214yescomplemented
96#2670C2214yes—
97#2670C2214yes—
98#2670C2214yescomplemented
99#2669C2214yescomplemented
100#2669C2214yescomplemented
101#2668C2214yescomplemented
102#2668C2214yescomplemented
103#2668C2214yescomplemented
104#2656C2214yescomplemented
105#2650C2214yescomplemented
106#2649C2214yescomplemented
107#2648C2214yescomplemented
108#2648C2214yescomplemented
109#2645C2212yescomplemented
110#2641C2212yescomplemented
111#2640C2212yes—
112#2639C2214yescomplemented
113#2636C2214yescomplemented
114#2636C2214yescomplemented
115#2635C2214yescomplemented
116#2635C2214yescomplemented
117#2632C2214yescomplemented
118#2628C2212yescomplemented
119#2628C2212yescomplemented
120#2628C2212yescomplemented
121#2625C2212yescomplemented
122#2624C2212yes—
123#2624C2212yescomplemented
124#2620C2212yes—
125#2619C2212yes—
126#2619C2212yescomplemented
127#2597C2212yescomplemented
128#2595C2212yescomplemented
129#2592C2211yescharacteristic
130#2592C2212yescomplemented
131#2592C2212yescomplemented
132#2580C2212yescomplemented
133#2580C2211yescharacteristic, complemented
134#2576C2214yescomplemented
135#2570C2211yescharacteristic, complemented
136#2568C2211yescharacteristic, complemented
137#2566C2212yescomplemented
138#2563C2211yescharacteristic
139#2563C2211yescharacteristic, complemented
140#2559C2214yescomplemented
141#2557C2214yescomplemented
142#2557C2214yescomplemented
143#2555C2214yescomplemented
144#2555C2214yescomplemented
145#2554C2212yescomplemented
146#2554C2212yescomplemented
147#2552C2211yescharacteristic, complemented
148#2551C2211yescharacteristic, complemented
149#2548C2211yescharacteristic
150#2547C2211yescharacteristic
151#2544C2211yescharacteristic
152#2543C2214yescomplemented
153#2541C2211yescharacteristic
154#2541C2211yescharacteristic
155#2541C2211yescharacteristic
156#2541C2212yes—
157#2541C2212yescomplemented
158#2540C2212yescomplemented
159#2538C2211yescharacteristic
160#2538C2212yescomplemented
161#2538C2211yescharacteristic, complemented
162#2537C2211yescharacteristic
163#2537C2211yescharacteristic, complemented
164#2535C2212yes—
165#2535C2212yescomplemented
166#2535C2212yescomplemented
167#2518C2214yescomplemented
168#2516C2212yescomplemented
169#2513C2211yescharacteristic
170#2513C2212yescomplemented
171#2513C2212yescomplemented
172#2512C2211yescharacteristic
173#2512C2211yescharacteristic, complemented
174#2511C2211yescharacteristic, complemented
175#2510C2214yescomplemented
176#2504C2212yes—
177#2504C2212yescomplemented
178#2503C2212yescomplemented
179#2500C2212yes—
180#2499C2212yescomplemented
181#2495C2212yescomplemented
182#2495C2212yescomplemented
183#2494C2212yescomplemented
184#2492C2212yescomplemented
185#2491C2212yes—
186#2491C2212yescomplemented
187#2491C2212yescomplemented
188#2491C2212yescomplemented
189#2490C2212yes—
190#2490C2212yescomplemented
191#2489C2212yescomplemented
192#2489C2212yescomplemented
193#2488C2214yescomplemented
194#2488C2214yescomplemented
195#2480C2214yescomplemented
196#2464C2214yescomplemented
197#2459C2214yescomplemented
198#2458C2212yescomplemented
199#2451C2212yescomplemented
200#2448C2212yes—
201#2448C2212yescomplemented
202#2448C2212yescomplemented
203#2447C2212yescomplemented
204#2447C2212yescomplemented
205#2447C2211yescharacteristic, complemented
206#2445C2211yescharacteristic
207#2445C2211yescharacteristic
208#2445C2214yescomplemented
209#2445C2211yescharacteristic, complemented
210#2444C2214yescomplemented
211#2441C2212yescomplemented
212#2435C2212yes—
213#2433C2212yes—
214#2433C2212yes—
215#2431C2212yes—
216#2431C2212yes—
217#2431C2212yescomplemented
218#2431C2212yescomplemented
219#2431C2212yescomplemented
220#2431C2214yescomplemented
221#2430C2214yescomplemented
222#2430C2214yescomplemented
223#2428C2212yes—
224#2428C2212yes—
225#2428C2212yescomplemented
226#2428C2212yescomplemented
227#2427C2212yescomplemented
228#2427C2212yescomplemented
229#2426C2214yescomplemented
230#2426C2212yescomplemented
231#2424C2214yes—
232#2422C2212yes—
233#2418C2214yescomplemented
234#2416C2212yes—
235#2416C2212yes—
236#2416C2212yes—
237#2416C2212yescomplemented
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2416C2212yescomplemented
241#2415C2212yescomplemented
242#2414C2212yes—
243#2414C2212yes—
244#2408C2212yes—
245#2408C2212yes—
246#2408C2212yes—
247#2408C2212yes—
248#2408C2212yes—
249#2407C2212yes—
250#2407C2212yescomplemented
251#2407C2212yescomplemented
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2404C2214yescomplemented
255#2398C2212yescomplemented
256#2395C2212yescomplemented
257#2392C2212yescomplemented
258#2392C2212yescomplemented
259#2388C2214yescomplemented
260#2367C2212yescomplemented
261#2367C2212yescomplemented
262#2364C2214yescomplemented
263#2363C2212yescomplemented
264#2357C2212yescomplemented
265#2352C2212yescomplemented
266#2352C2212yescomplemented
267#2352C2212yescomplemented
268D4×C4⋊C4C2212yescomplemented
269#2339C2212yescomplemented
270#2339C2212yescomplemented
271D4×C22⋊C4C2212yes—
272#2328C2212yescomplemented
273#2321C2214yescomplemented
274#2311C2212yescomplemented
275#2309C2212yes—
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic, complemented
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic, complemented
285C4×#123C2212yescomplemented
286C4×#121C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289#2297C2212yescomplemented
290#2295C2211yescharacteristic, complemented
291#2293C2211yescharacteristic
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic, complemented
294#2290C2212yescomplemented
295C2×#382C2212yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2314yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#555—44no—
306#554—44no—
307#550—44no—
308#550—48no—
309#547—44no—
310#547—44no—
311#546—48no—
312D42—44no—
313#535—48no—
314#532—48no—
315#532—48no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2311yescharacteristic
325C2×#127C2311yescharacteristic
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2314yes—
329#529—48no—
330C2×#126C2312yes—
331C2×#126C2312yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#124C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2314yes—
342C2×#124C2314yes—
343C2×#124C2311yescharacteristic
344C2×#124C2312yes—
345C2×#124C2314yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
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×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2314yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2312yes—
432C22×C22⋊C4C2314yes—
433C22×C42C2312yes—
434C22×C42C2312yes—
435#401C2314yes—
436#400C2314yes—
437#400C2312yes—
438#400C2314yes—
439#400C2312yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2312yes—
446#400C2314yes—
447#399C2312yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#398C2312yes—
454#398C2312yes—
455#398C2314yes—
456#398C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#397C2312yes—
480#397C2312yes—
481#397C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2312yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2312yes—
493#396C2312yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2312yes—
529#394C2312yes—
530#394C2312yes—
531#394C2314yes—
532#394C2312yes—
533#394C2312yes—
534#393C2314yes—
535#393C2314yes—
536#393C2312yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2314yes—
543#393C2312yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
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#392C2314yes—
560#392C2314yes—
561#392C2312yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2312yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#391C2312yes—
570#391C2312yes—
571#391C2311yescharacteristic
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2311yescharacteristic
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2314yes—
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#390C2311yescharacteristic
585#390C2311yescharacteristic
586#390C2312yes—
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2312yes—
590#390C2312yes—
591#390C2311yescharacteristic
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2311yescharacteristic
598#390C2311yescharacteristic
599#390C2311yescharacteristic
600#390C2311yescharacteristic
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2314yes—
607#390C2312yes—
608#390C2314yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2314yes—
613#390C2314yes—
614#390C2311yescharacteristic
615#390C2312yes—
616#390C2311yescharacteristic
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2314yes—
623#390C2311yescharacteristic
624#390C2311yescharacteristic
625#390C2311yescharacteristic
626#390C2311yescharacteristic
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2311yescharacteristic
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2314yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2314yes—
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2311yescharacteristic
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2312yes—
678#388C2314yes—
679#388C2312yes—
680#388C2314yes—
681#388C2312yes—
682#388C2314yes—
683#388C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2312yes—
690#387C2312yes—
691#387C2314yes—
692#387C2312yes—
693#387C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2312yes—
729#386C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#383C2314yes—
746#382C2312yes—
747#382C2312yes—
748#382C2314yes—
749#382C2312yes—
750#382C2311yescharacteristic
751#382C2311yescharacteristic
752#382C2314yes—
753#382C2312yes—
754#382C2312yes—
755#381C2314yes—
756#381C2314yes—
757#381C2314yes—
758#381C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#379C2314yes—
774#379C2314yes—
775#379C2314yes—
776#379C2314yes—
777#379C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817C2×#95C2314yes—
818C2×#95C2314yes—
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—28no—
824C2×#41—48no—
825C2×#41—48no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—84no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×Q8C2414yes—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2414yes—
882C23×C4C2414yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2412yes—
889C4⋊Q8—24no—
890C4⋊Q8—24no—
891C4⋊Q8—44no—
892C4⋊Q8—44no—
893#127—28no—
894#127—24no—
895#127—24no—
896#127—24no—
897#127—42no—
898#127—42no—
899#127—44no—
900#127—44no—
901#127—48no—
902#126—44no—
903#126—44no—
904#125—44no—
905#125—44no—
906#124—24no—
907#124—44no—
908#124—48no—
909#124—42no—
910#124—44no—
911#124—44no—
912#124—44no—
913#124—44no—
914#124—48no—
915#124—48no—
916#124—84no—
917#124—82no—
918#123—48no—
919#123—48no—
920#123—48no—
921#123—44no—
922#123—44no—
923#123—44no—
924C22⋊Q8—48no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930#121—28no—
931#121—48no—
932#121—48no—
933#121—44no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—48no—
954#121—48no—
955#121—48no—
956#121—84no—
957#121—84no—
958#120—48no—
959#120—48no—
960#120—48no—
961#120—48no—
962#120—48no—
963#120—84no—
964#120—84no—
965C4×Q8—24no—
966C4×Q8—24no—
967C4×Q8—42no—
968C4×Q8—42no—
969C4×Q8—44no—
970C4×Q8—82no—
971C4×D4—24no—
972C4×D4—28no—
973C4×D4—24no—
974C4×D4—28no—
975C4×D4—24no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—24no—
979C4×D4—24no—
980C4×D4—42no—
981C4×D4—42no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—48no—
992C4×D4—44no—
993C4×D4—48no—
994C4×D4—48no—
995C4×D4—82no—
996#117—44no—
997#117—44no—
998#117—44no—
999#117—44no—
1000#117—44no—
1001C2×C4⋊C4—44no—
1002C2×C4⋊C4—44no—
1003C2×C4⋊C4—44no—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C22⋊C4—48no—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C42—28no—
1137C2×C42—44no—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2414yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2414yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2414yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2411yescharacteristic
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221C24—44no—
1222C24—44no—
1223C24—44no—
1224C24—44no—
1225C24—44no—
1226C24—44no—
1227C24—44no—
1228C24C2512yes—
1229C24C2512yes—
1230C24C2514yes—
1231C24C2512yes—
1232C24C2512yes—
1233C24C2512yes—
1234#41—832no—
1235#41—816no—
1236#41—816no—
1237#41—816no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—24no—
1241C2×Q8—22no—
1242C2×Q8—24no—
1243C2×Q8—24no—
1244C2×Q8—22no—
1245C2×Q8—24no—
1246C2×Q8—41no—
1247C2×Q8—41no—
1248C2×Q8—42no—
1249C2×Q8—44no—
1250C2×Q8—44no—
1251C2×Q8—42no—
1252C2×Q8—44no—
1253C2×D4—24no—
1254C2×D4—28no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—28no—
1258C2×D4—28no—
1259C2×D4—28no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—24no—
1267C2×D4—22no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—24no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—44no—
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—816no—
1340C2×D4—816no—
1341C2×D4H(5,𝔽2)14yes—
1342C22×C4—24no—
1343C22×C4—28no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—28no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—44no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2514yes—
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2514yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2514yes—
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C22⋊C4—24no—
1466C22⋊C4—28no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—28no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C42—24no—
1545C42—24no—
1546C42—24no—
1547C42—22no—
1548C42—24no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—24no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—42no—
1562C42—42no—
1563C42—44no—
1564C42—44no—
1565C42—41no—
1566C42—41no—
1567C42—41no—
1568C42—41no—
1569C42—44no—
1570C42—41no—
1571C42H(5,𝔽2)14yes—
1572C42H(5,𝔽2)14yes—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—24no—
1587C23—22no—
1588C23—24no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—24no—
1593C23—22no—
1594C23—24no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—24no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—24no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—24no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—88no—
1615C23—88no—
1616C23—88no—
1617C23—164no—
1618C23—164no—
1619C23—164no—
1620C23—164no—
1621C23C2×H(5,𝔽2)14yes—
1622C23C2611yescharacteristic
1623Q8—44no—
1624Q8—44no—
1625Q8—48no—
1626Q8—84no—
1627Q8—88no—
1628D4—28no—
1629D4—48no—
1630D4—44no—
1631D4—44no—
1632D4—48no—
1633D4—48no—
1634D4—44no—
1635D4—44no—
1636D4—84no—
1637D4—84no—
1638D4—84no—
1639D4—88no—
1640D4—84no—
1641D4—84no—
1642D4—84no—
1643D4—88no—
1644D4—88no—
1645D4—88no—
1646D4—88no—
1647D4—84no—
1648D4—84no—
1649D4—88no—
1650D4—88no—
1651D4—88no—
1652D4—88no—
1653D4—88no—
1654D4—164no—
1655D4—164no—
1656D4—164no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—24no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—24no—
1729C2×C4—21no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—48no—
1735C2×C4—48no—
1736C2×C4—48no—
1737C2×C4—48no—
1738C2×C4—48no—
1739C2×C4—48no—
1740C2×C4—48no—
1741C2×C4—84no—
1742C2×C4—88no—
1743C2×C4—88no—
1744C2×C4—84no—
1745C2×C4—88no—
1746C2×C4—88no—
1747C2×C4—164no—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4C2×H(5,𝔽2)12yes—
1751C2×C4C2×H(5,𝔽2)12yes—
1752C2×C4C2×H(5,𝔽2)12yes—
1753C2×C4C2×H(5,𝔽2)12yes—
1754C2×C4C2×H(5,𝔽2)12yes—
1755C2×C4#58512yes—
1756C2×C4#58512yes—
1757C2×C4#58512yes—
1758C22—24no—
1759C22—24no—
1760C22—24no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—44no—
1770C22—42no—
1771C22—42no—
1772C22—44no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—44no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—44no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—44no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—44no—
1795C22—44no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—1616no—
1801C22C22×H(5,𝔽2)11yescharacteristic
1802C22C22×H(5,𝔽2)11yescharacteristic
1803C22C22×H(5,𝔽2)11yescharacteristic
1804C22C2×#58511yescharacteristic
1805C22C2×#58511yescharacteristic
1806C22C2×#58511yescharacteristic
1807C22H(7,𝔽2)11yescharacteristic
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—42no—
1813C4—42no—
1814C4—44no—
1815C4—42no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4—42no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—42no—
1824C4—41no—
1825C4—42no—
1826C4—42no—
1827C4—44no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—42no—
1834C4—44no—
1835C4#354614yes—
1836C4#355814yes—
1837C2—44no—
1838C2—82no—
1839C2—82no—
1840C2—84no—
1841C2—82no—
1842C2—82no—
1843C2C2×#355811yescharacteristic
1844C2C2×#354611yescharacteristic
1845C2#6275911yescharacteristic
1846C2#6291211yescharacteristic
1847C2#6293711yescharacteristic
1848C2#6296111yescharacteristic
1849C2#6301811yescharacteristic
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. #59815C2semidirect
2. #59652C2semidirect
3. #59412C2semidirect
4. #59308C2semidirect
5. #59097C2semidirect
6. #53680C2semidirect
7. #53535C2semidirect
8. #53128C2semidirect
9. #53116C2semidirect
10. #53056C2semidirect
11. #52971C2semidirect
12. #52332C2semidirect
13. #42982C2semidirect
14. #42969C2semidirect
15. #42732C2semidirect
16. #42503C2semidirect
17. #41264C2semidirect
18. #40169C2semidirect
19. #39876C2semidirect
20. #39362C2semidirect
21. #39169C2semidirect
22. #38956C2semidirect
23. #38953C2semidirect
24. #38902C2semidirect
25. #37748C2semidirect
26. #37636C2semidirect
27. #37631C2semidirect
28. #37554C2semidirect
29. #37498C2semidirect
30. #36609C2semidirect
31. #36415C2semidirect
32. #36164C2semidirect
33. #34934C2semidirect
34. #34925C2semidirect
35. #34918C2semidirect
37. C2×#554C22semidirect
39. C2×#550C22semidirect
41. C2×#547C22semidirect
45. C2×#532C22semidirect
46. C2×#532C22semidirect
47. C2×#529C22semidirect
48. #2862C22semidirect
53. #2838C22semidirect
54. #2832C22semidirect
55. #2830C22semidirect
56. #2829C22semidirect
57. #2828C22semidirect
58. #2827C22semidirect
59. #2826C22semidirect
60. #2825C22semidirect
61. #2825C22semidirect
62. #2824C22semidirect
63. #2820C22semidirect
64. #2819C22semidirect
65. #2815C22semidirect
66. #2812C22semidirect
67. #2788C22semidirect
68. #2779C22semidirect
69. #2772C22semidirect
70. #2753C22semidirect
71. #2750C22semidirect
72. #2749C22semidirect
73. #2749C22semidirect
74. #2735C22semidirect
75. #2730C22semidirect
76. #2710C22semidirect
77. #2703C22semidirect
78. #2703C22semidirect
79. #2703C22semidirect
80. #2699C22semidirect
81. #2697C22semidirect
82. #2696C22semidirect
83. #2694C22semidirect
84. #2688C22semidirect
85. #2686C22semidirect
86. #2684C22semidirect
87. #2684C22semidirect
88. #2684C22semidirect
89. #2682C22semidirect
93. #2676C22semidirect
94. #2676C22semidirect
95. #2673C22semidirect
98. #2670C22semidirect
99. #2669C22semidirect
100. #2669C22semidirect
101. #2668C22semidirect
102. #2668C22semidirect
103. #2668C22semidirect
104. #2656C22semidirect
105. #2650C22semidirect
106. #2649C22semidirect
107. #2648C22semidirect
108. #2648C22semidirect
109. #2645C22semidirect
110. #2641C22semidirect
112. #2639C22semidirect
113. #2636C22semidirect
114. #2636C22semidirect
115. #2635C22semidirect
116. #2635C22semidirect
117. #2632C22semidirect
118. #2628C22semidirect
119. #2628C22semidirect
120. #2628C22semidirect
121. #2625C22semidirect
123. #2624C22semidirect
126. #2619C22semidirect
127. #2597C22semidirect
128. #2595C22semidirect
130. #2592C22semidirect
131. #2592C22semidirect
132. #2580C22semidirect
133. #2580C22semidirect
134. #2576C22semidirect
135. #2570C22semidirect
136. #2568C22semidirect
137. #2566C22semidirect
139. #2563C22semidirect
140. #2559C22semidirect
141. #2557C22semidirect
142. #2557C22semidirect
143. #2555C22semidirect
144. #2555C22semidirect
145. #2554C22semidirect
146. #2554C22semidirect
147. #2552C22semidirect
148. #2551C22semidirect
152. #2543C22semidirect
157. #2541C22semidirect
158. #2540C22semidirect
160. #2538C22semidirect
161. #2538C22semidirect
163. #2537C22semidirect
165. #2535C22semidirect
166. #2535C22semidirect
167. #2518C22semidirect
168. #2516C22semidirect
170. #2513C22semidirect
171. #2513C22semidirect
173. #2512C22semidirect
174. #2511C22semidirect
175. #2510C22semidirect
177. #2504C22semidirect
178. #2503C22semidirect
180. #2499C22semidirect
181. #2495C22semidirect
182. #2495C22semidirect
183. #2494C22semidirect
184. #2492C22semidirect
186. #2491C22semidirect
187. #2491C22semidirect
188. #2491C22semidirect
190. #2490C22semidirect
191. #2489C22semidirect
192. #2489C22semidirect
193. #2488C22semidirect
194. #2488C22semidirect
195. #2480C22semidirect
196. #2464C22semidirect
197. #2459C22semidirect
198. #2458C22semidirect
199. #2451C22semidirect
201. #2448C22semidirect
202. #2448C22semidirect
203. #2447C22semidirect
204. #2447C22semidirect
205. #2447C22semidirect
208. #2445C22semidirect
209. #2445C22semidirect
210. #2444C22semidirect
211. #2441C22semidirect
217. #2431C22semidirect
218. #2431C22semidirect
219. #2431C22semidirect
220. #2431C22semidirect
221. #2430C22semidirect
222. #2430C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2427C22semidirect
228. #2427C22semidirect
229. #2426C22semidirect
230. #2426C22semidirect
233. #2418C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2415C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2404C22semidirect
255. #2398C22semidirect
256. #2395C22semidirect
257. #2392C22semidirect
258. #2392C22semidirect
259. #2388C22semidirect
260. #2367C22semidirect
261. #2367C22semidirect
262. #2364C22semidirect
263. #2363C22semidirect
264. #2357C22semidirect
265. #2352C22semidirect
266. #2352C22semidirect
267. #2352C22semidirect
268. D4×C4⋊C4C22semidirect
269. #2339C22semidirect
270. #2339C22semidirect
272. #2328C22semidirect
273. #2321C22semidirect
274. #2311C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
282. C4×#127C22semidirect
284. C4×#124C22semidirect
285. C4×#123C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. #2297C22semidirect
290. #2295C22semidirect
293. #2293C22semidirect
294. #2290C22semidirect
295. C2×#382C22semidirect
296. C42×Q8C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598152
#596522
#594122
#593082
#590972
#536802
#535352
#531282
#531162
#530562
#529712
#523322
#429822
#429692
#427322
#425032
#412642
#401692
#398762
#393622
#391692
#389562
#389532
#389022
#377482
#376362
#376312
#375542
#374982
#366092
#364152
#361642
#349342
#349252
#349182