Finite Group Databasebeta

← #8464356

Subgroups — #8464356

Order 512.

5404 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59444C211yesmaximal, characteristic, complemented
2#59050C211yesmaximal, characteristic, complemented
3#59035C211yesmaximal, characteristic, complemented
4#57954C214yesmaximal, complemented
5#53991C214yesmaximal, complemented
6#53535C214yesmaximal, complemented
7#53082C212yesmaximal, complemented
8#53064C212yesmaximal, complemented
9#49650C214yesmaximal, complemented
10#45701C212yesmaximal, complemented
11#45655C212yesmaximal, complemented
12#45236C212yesmaximal, complemented
13#44903C212yesmaximal, complemented
14#42962C212yesmaximal, complemented
15#42942C212yesmaximal, complemented
16#42589C212yesmaximal, complemented
17#42578C212yesmaximal, complemented
18#39539C212yesmaximal, complemented
19#39469C211yesmaximal, characteristic, complemented
20#39342C211yesmaximal, characteristic, complemented
21#39334C212yesmaximal, complemented
22#39148C211yesmaximal, characteristic, complemented
23#38953C211yesmaximal, characteristic, complemented
24#38942C212yesmaximal, complemented
25#37954C212yesmaximal, complemented
26#37634C211yesmaximal, characteristic, complemented
27#37331C212yesmaximal, complemented
28#37272C212yesmaximal, complemented
29#36463C211yesmaximal, characteristic, complemented
30#36176C211yesmaximal, characteristic, complemented
31#36150C211yesmaximal, characteristic, complemented
32#35196C211yesmaximal, characteristic, complemented
33#35166C211yesmaximal, characteristic, complemented
34#34925C211yesmaximal, characteristic, complemented
35#34788C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#552C2212yescomplemented
38C2×#546C2212yes—
39C2×D42C2211yescharacteristic
40C2×#537C2212yescomplemented
41C2×#537C2212yescomplemented
42C2×#535C2212yes—
43C2×#533C2211yescharacteristic, complemented
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2211yescharacteristic, complemented
47C2×#532C2212yescomplemented
48#2858C2211yescharacteristic
49#2857C2211yescharacteristic, complemented
50#2856C2211yescharacteristic
51#2856C2212yescomplemented
52#2856C2212yescomplemented
53#2855C2212yescomplemented
54#2854C2212yes—
55#2854C2212yescomplemented
56#2850C2212yes—
57#2838C2214yescomplemented
58#2837C2214yescomplemented
59#2828C2214yescomplemented
60#2828C2214yescomplemented
61#2825C2214yescomplemented
62#2820C2214yescomplemented
63#2816C2214yescomplemented
64#2814C2214yescomplemented
65#2803C2214yescomplemented
66#2803C2214yescomplemented
67#2797C2214yescomplemented
68#2773C2214yescomplemented
69#2756C2214yescomplemented
70#2756C2214yescomplemented
71#2756C2214yescomplemented
72#2753C2214yescomplemented
73#2752C2214yescomplemented
74#2749C2214yescomplemented
75#2737C2214yescomplemented
76#2735C2214yescomplemented
77#2730C2214yescomplemented
78#2730C2214yescomplemented
79#2729C2214yescomplemented
80#2714C2214yescomplemented
81#2712C2214yescomplemented
82#2703C2214yescomplemented
83#2703C2214yescomplemented
84#2703C2214yescomplemented
85#2699C2214yescomplemented
86#2699C2214yescomplemented
87#2699C2214yescomplemented
88#2697C2214yescomplemented
89#2694C2214yescomplemented
90#2690C2214yescomplemented
91#2688C2214yescomplemented
92#2688C2214yescomplemented
93#2686C2214yescomplemented
94#2685C2214yescomplemented
95#2685C2214yescomplemented
96#2682C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2676C2214yescomplemented
102#2674C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2671C2214yescomplemented
106#2670C2214yes—
107#2670C2214yes—
108#2670C2214yes—
109#2669C2214yes—
110#2669C2214yescomplemented
111#2668C2214yes—
112#2668C2214yescomplemented
113#2668C2214yescomplemented
114#2661C2214yescomplemented
115#2660C2212yescomplemented
116#2656C2214yescomplemented
117#2649C2214yescomplemented
118#2644C2212yescomplemented
119#2641C2212yes—
120#2641C2214yescomplemented
121#2635C2214yescomplemented
122#2632C2214yescomplemented
123#2619C2212yes—
124#2619C2214yescomplemented
125#2617C2214yescomplemented
126#2616C2212yescomplemented
127#2616C2212yescomplemented
128#2615C2212yes—
129#2615C2212yes—
130#2610C2214yescomplemented
131#2571C2211yescharacteristic, complemented
132#2563C2211yescharacteristic
133#2563C2211yescharacteristic, complemented
134#2561C2214yescomplemented
135#2560C2214yescomplemented
136#2557C2214yescomplemented
137#2555C2212yescomplemented
138#2555C2214yescomplemented
139#2555C2212yescomplemented
140#2552C2212yescomplemented
141#2551C2211yescharacteristic, complemented
142#2547C2211yescharacteristic
143#2542C2211yescharacteristic
144#2542C2211yescharacteristic, complemented
145#2542C2211yescharacteristic, complemented
146#2542C2212yescomplemented
147#2541C2212yes—
148#2541C2211yescharacteristic
149#2541C2211yescharacteristic
150#2541C2211yescharacteristic
151#2541C2211yescharacteristic
152#2541C2212yescomplemented
153#2540C2212yes—
154#2540C2212yescomplemented
155#2540C2212yescomplemented
156#2540C2212yescomplemented
157#2540C2214yescomplemented
158#2537C2212yes—
159#2537C2211yescharacteristic
160#2537C2211yescharacteristic, complemented
161#2536C2212yescomplemented
162#2536C2212yescomplemented
163#2536C2212yescomplemented
164#2535C2212yescomplemented
165#2535C2212yescomplemented
166#2532C2214yescomplemented
167#2531C2214yescomplemented
168#2525C2212yescomplemented
169#2516C2214yescomplemented
170#2516C2214yescomplemented
171#2516C2212yescomplemented
172#2513C2212yes—
173#2513C2211yescharacteristic
174#2513C2212yescomplemented
175#2512C2212yes—
176#2510C2212yescomplemented
177#2509C2211yescharacteristic, complemented
178#2508C2212yescomplemented
179#2504C2211yescharacteristic
180#2504C2212yescomplemented
181#2500C2212yes—
182#2500C2212yes—
183#2500C2212yescomplemented
184#2497C2212yescomplemented
185#2495C2212yescomplemented
186#2494C2211yescharacteristic, complemented
187#2491C2212yes—
188#2491C2211yescharacteristic
189#2491C2211yescharacteristic, complemented
190#2491C2212yescomplemented
191#2490C2211yescharacteristic
192#2490C2214yescomplemented
193#2490C2212yescomplemented
194#2490C2212yescomplemented
195#2490C2212yescomplemented
196#2488C2214yescomplemented
197#2487C2211yescharacteristic, complemented
198#2486C2212yescomplemented
199#2485C2212yescomplemented
200#2479C2214yescomplemented
201#2476C2214yescomplemented
202#2476C2214yescomplemented
203#2472C2214yescomplemented
204#2459C2214yescomplemented
205#2454C2212yescomplemented
206#2448C2214yescomplemented
207#2448C2212yescomplemented
208#2445C2212yes—
209#2445C2212yescomplemented
210#2444C2212yescomplemented
211#2442C2211yescharacteristic, complemented
212#2441C2212yescomplemented
213#2439C2212yescomplemented
214#2435C2212yes—
215#2433C2212yes—
216#2433C2212yes—
217#2428C2211yescharacteristic
218#2428C2214yescomplemented
219#2428C2212yescomplemented
220#2428C2211yescharacteristic, complemented
221#2428C2212yescomplemented
222#2428C2212yescomplemented
223#2427C2212yes—
224#2427C2212yescomplemented
225#2426C2212yes—
226#2426C2212yes—
227#2426C2212yescomplemented
228#2426C2212yescomplemented
229#2424C2214yescomplemented
230#2422C2212yes—
231#2421C2212yescomplemented
232#2420C2212yescomplemented
233#2420C2212yescomplemented
234#2420C2212yescomplemented
235#2420C2212yescomplemented
236#2418C2214yes—
237#2417C2212yescomplemented
238#2416C2212yes—
239#2416C2211yescharacteristic
240#2416C2212yescomplemented
241#2415C2212yescomplemented
242#2415C2212yescomplemented
243#2414C2212yes—
244#2414C2212yes—
245#2414C2212yes—
246#2414C2212yescomplemented
247#2414C2212yescomplemented
248#2414C2212yescomplemented
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2408C2212yes—
253#2408C2212yes—
254#2407C2212yes—
255#2407C2212yescomplemented
256#2401C2212yescomplemented
257#2395C2212yescomplemented
258#2388C2212yescomplemented
259#2388C2212yescomplemented
260#2375C2214yescomplemented
261#2369C2211yescharacteristic, complemented
262#2367C2212yescomplemented
263#2366C2211yescharacteristic
264#2366C2212yescomplemented
265#2363C2212yescomplemented
266#2362C2212yescomplemented
267#2357C2212yescomplemented
268#2354C2211yescharacteristic
269#2354C2212yescomplemented
270#2354C2212yescomplemented
271#2352C2212yescomplemented
272D4×C4⋊C4C2211yescharacteristic, complemented
273#2346C2212yescomplemented
274#2341C2212yescomplemented
275D4×C22⋊C4C2212yes—
276#2328C2212yescomplemented
277#2324C2212yescomplemented
278#2319C2214yescomplemented
279#2314C2212yescomplemented
280#2311C2212yescomplemented
281#2309C2212yes—
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic
284C4×#125C2211yescharacteristic, complemented
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yescomplemented
289C4×#121C2212yescomplemented
290C4×#121C2211yescharacteristic, complemented
291C4×#121C2212yescomplemented
292#2293C2211yescharacteristic
293#2290C2212yescomplemented
294#2283C2211yescharacteristic, complemented
295#2283C2212yescomplemented
296C42×D4C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#555—44no—
305#552—48no—
306#546—48no—
307D42—44no—
308#537—48no—
309#537—48no—
310#535—48no—
311#533—44no—
312#532—44no—
313#532—44no—
314#532—44no—
315#532—48no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2314yes—
326C2×#127C2311yescharacteristic
327C2×#127C2312yes—
328C2×#127C2311yescharacteristic
329C2×#126C2314yes—
330C2×#125C2311yescharacteristic
331C2×#125C2314yes—
332C2×#125C2312yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2311yescharacteristic
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2311yescharacteristic
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2311yescharacteristic
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2314yes—
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2314yes—
436C2×#117C2312yes—
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2312yes—
440C22×C22⋊C4C2314yes—
441C22×C42C2311yescharacteristic
442C22×C42C2311yescharacteristic
443C22×C42C2312yes—
444C22×C42C2312yes—
445#401C2312yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
452#400C2312yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2312yes—
460#399C2314yes—
461#398C2312yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2312yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2314yes—
487#397C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2312yes—
494#396C2314yes—
495#395C2312yes—
496#395C2314yes—
497#395C2314yes—
498#395C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2312yes—
531#394C2312yes—
532#394C2312yes—
533#394C2312yes—
534#394C2314yes—
535#394C2312yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#393C2312yes—
540#393C2314yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2312yes—
545#392C2312yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2312yes—
550#392C2312yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2312yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2312yes—
565#392C2312yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#391C2314yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2314yes—
576#390C2314yes—
577#390C2311yescharacteristic
578#390C2311yescharacteristic
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#390C2312yes—
592#390C2314yes—
593#390C2311yescharacteristic
594#390C2312yes—
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2311yescharacteristic
598#390C2312yes—
599#390C2312yes—
600#390C2314yes—
601#390C2314yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2314yes—
608#390C2312yes—
609#390C2314yes—
610#390C2312yes—
611#390C2314yes—
612#390C2314yes—
613#390C2312yes—
614#390C2314yes—
615#390C2312yes—
616#390C2314yes—
617#390C2312yes—
618#390C2311yescharacteristic
619#390C2311yescharacteristic
620#390C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2314yes—
629#389C2312yes—
630#389C2314yes—
631#389C2312yes—
632#389C2312yes—
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
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#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2314yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#387C2314yes—
686#387C2312yes—
687#387C2312yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2312yes—
694#387C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2314yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2312yes—
734#384C2312yes—
735#384C2312yes—
736#383C2312yes—
737#383C2314yes—
738#382C2311yescharacteristic
739#382C2312yes—
740#382C2312yes—
741#382C2314yes—
742#382C2312yes—
743#382C2312yes—
744#382C2311yescharacteristic
745#382C2311yescharacteristic
746#381C2312yes—
747#381C2314yes—
748#381C2314yes—
749#381C2314yes—
750#381C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2314yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2311yescharacteristic
774#379C2314yes—
775#379C2314yes—
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818#376C2314yes—
819#376C2312yes—
820C2×#95C2312yes—
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2412yes—
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2414yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2412yes—
891C4⋊Q8—24no—
892C4⋊Q8—24no—
893C4⋊Q8—42no—
894C4⋊Q8—42no—
895C4⋊Q8—44no—
896#127—24no—
897#127—44no—
898#127—44no—
899#127—42no—
900#127—42no—
901#127—42no—
902#127—48no—
903#127—44no—
904#126—48no—
905#125—24no—
906#125—44no—
907#125—48no—
908#124—44no—
909#124—44no—
910#124—44no—
911#124—48no—
912#124—44no—
913#124—44no—
914#124—44no—
915#124—44no—
916#124—48no—
917#124—82no—
918#123—48no—
919#123—48no—
920#123—84no—
921#123—84no—
922C22⋊Q8—28no—
923C22⋊Q8—48no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—48no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932C22⋊Q8—82no—
933#121—24no—
934#121—24no—
935#121—28no—
936#121—44no—
937#121—44no—
938#121—48no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—48no—
943#121—44no—
944#121—44no—
945#121—48no—
946#121—42no—
947#121—42no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—42no—
952#121—44no—
953#121—42no—
954#121—42no—
955#121—42no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—48no—
963#121—48no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—44no—
968#121—48no—
969#121—48no—
970#121—82no—
971#121—84no—
972#121—84no—
973#120—48no—
974#120—48no—
975#120—48no—
976#120—48no—
977#120—48no—
978#120—84no—
979#120—84no—
980C4×Q8—44no—
981C4×Q8—44no—
982C4×Q8—44no—
983C4×D4—24no—
984C4×D4—28no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—24no—
988C4×D4—24no—
989C4×D4—42no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—42no—
993C4×D4—42no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—42no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—48no—
1006#117—28no—
1007#117—44no—
1008#117—48no—
1009#117—44no—
1010#117—44no—
1011#117—44no—
1012C2×C4⋊C4—24no—
1013C2×C4⋊C4—24no—
1014C2×C4⋊C4—44no—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C22⋊C4—48no—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C42—24no—
1148C2×C42—24no—
1149C2×C42—44no—
1150C2×C42—44no—
1151C2×C42C2411yescharacteristic
1152C2×C42C2414yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2414yes—
1168C2×C42C2414yes—
1169C2×C42C2414yes—
1170C2×C42C2414yes—
1171C2×C42C2411yescharacteristic
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2411yescharacteristic
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229C24—44no—
1230C24—44no—
1231C24—44no—
1232C24—44no—
1233C24—44no—
1234C24—44no—
1235C24—44no—
1236C24C2512yes—
1237C24C2512yes—
1238C24C2514yes—
1239C24C2512yes—
1240C24C2511yescharacteristic
1241C24C2512yes—
1242C24C2511yescharacteristic
1243#41—816no—
1244#41—816no—
1245#41—816no—
1246C2×Q8—24no—
1247C2×Q8—24no—
1248C2×Q8—24no—
1249C2×Q8—24no—
1250C2×Q8—24no—
1251C2×Q8—42no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×Q8—42no—
1255C2×Q8—42no—
1256C2×Q8—42no—
1257C2×Q8—42no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—28no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—28no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—24no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—41no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—44no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—44no—
1332C2×D4—42no—
1333C2×D4—42no—
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—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—816no—
1355C2×D4—816no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—24no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—22no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—22no—
1373C22×C4—24no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—28no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—42no—
1388C22×C4—42no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—42no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—44no—
1395C22×C4—42no—
1396C22×C4—44no—
1397C22×C4—42no—
1398C22×C4—41no—
1399C22×C4—44no—
1400C22×C4—41no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4H(5,𝔽2)14yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2514yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2512yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2514yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2511yescharacteristic
1427C22×C4C2512yes—
1428C22×C4C2514yes—
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—24no—
1452C4⋊C4—22no—
1453C4⋊C4—24no—
1454C4⋊C4—28no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—24no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—41no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—42no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—42no—
1484C4⋊C4—44no—
1485C4⋊C4H(5,𝔽2)14yes—
1486C22⋊C4—24no—
1487C22⋊C4—22no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—28no—
1491C22⋊C4—28no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—22no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—28no—
1499C22⋊C4—28no—
1500C22⋊C4—24no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—41no—
1518C22⋊C4—42no—
1519C22⋊C4—41no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—44no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—24no—
1574C42—28no—
1575C42—22no—
1576C42—24no—
1577C42—24no—
1578C42—22no—
1579C42—24no—
1580C42—22no—
1581C42—22no—
1582C42—42no—
1583C42—42no—
1584C42—42no—
1585C42—42no—
1586C42—44no—
1587C42—44no—
1588C42—44no—
1589C42—44no—
1590C42—41no—
1591C42H(5,𝔽2)14yes—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—21no—
1605C23—22no—
1606C23—24no—
1607C23—22no—
1608C23—22no—
1609C23—21no—
1610C23—22no—
1611C23—24no—
1612C23—24no—
1613C23—22no—
1614C23—22no—
1615C23—21no—
1616C23—24no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—21no—
1621C23—22no—
1622C23—21no—
1623C23—22no—
1624C23—22no—
1625C23—24no—
1626C23—21no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—24no—
1633C23—22no—
1634C23—24no—
1635C23—22no—
1636C23—22no—
1637C23—21no—
1638C23—22no—
1639C23—22no—
1640C23—88no—
1641C23—88no—
1642C23—88no—
1643C23—164no—
1644C23—164no—
1645C23—164no—
1646C23—164no—
1647C23C2×H(5,𝔽2)12yes—
1648C23C2611yescharacteristic
1649Q8—48no—
1650Q8—84no—
1651Q8—84no—
1652Q8—84no—
1653D4—44no—
1654D4—44no—
1655D4—48no—
1656D4—44no—
1657D4—44no—
1658D4—48no—
1659D4—44no—
1660D4—88no—
1661D4—84no—
1662D4—84no—
1663D4—84no—
1664D4—84no—
1665D4—84no—
1666D4—84no—
1667D4—84no—
1668D4—84no—
1669D4—88no—
1670D4—84no—
1671D4—84no—
1672D4—84no—
1673D4—84no—
1674D4—88no—
1675D4—88no—
1676D4—84no—
1677D4—84no—
1678D4—84no—
1679D4—164no—
1680D4—164no—
1681D4—164no—
1682D4—164no—
1683D4—164no—
1684D4—164no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—28no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—24no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—24no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—48no—
1761C2×C4—48no—
1762C2×C4—44no—
1763C2×C4—48no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—48no—
1767C2×C4—84no—
1768C2×C4—84no—
1769C2×C4—82no—
1770C2×C4—82no—
1771C2×C4—88no—
1772C2×C4—84no—
1773C2×C4—88no—
1774C2×C4—84no—
1775C2×C4—164no—
1776C2×C4C2×H(5,𝔽2)12yes—
1777C2×C4C2×H(5,𝔽2)14yes—
1778C2×C4C2×H(5,𝔽2)12yes—
1779C2×C4C2×H(5,𝔽2)12yes—
1780C2×C4C2×H(5,𝔽2)12yes—
1781C2×C4C2×H(5,𝔽2)12yes—
1782C2×C4C2×H(5,𝔽2)12yes—
1783C2×C4#58512yes—
1784C2×C4#58512yes—
1785C2×C4#58512yes—
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—42no—
1795C22—42no—
1796C22—44no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—41no—
1801C22—42no—
1802C22—42no—
1803C22—44no—
1804C22—42no—
1805C22—42no—
1806C22—41no—
1807C22—44no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—44no—
1813C22—41no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—41no—
1820C22—42no—
1821C22—42no—
1822C22—44no—
1823C22—42no—
1824C22—41no—
1825C22—42no—
1826C22—42no—
1827C22—44no—
1828C22—42no—
1829C22—41no—
1830C22—42no—
1831C22—42no—
1832C22—44no—
1833C22—42no—
1834C22—42no—
1835C22—1616no—
1836C22C22×H(5,𝔽2)11yescharacteristic
1837C22C22×H(5,𝔽2)11yescharacteristic
1838C22C22×H(5,𝔽2)11yescharacteristic
1839C22C2×#58511yescharacteristic
1840C22C2×#58511yescharacteristic
1841C22C2×#58511yescharacteristic
1842C22H(7,𝔽2)11yescharacteristic
1843C4—22no—
1844C4—24no—
1845C4—22no—
1846C4—22no—
1847C4—41no—
1848C4—41no—
1849C4—42no—
1850C4—42no—
1851C4—41no—
1852C4—42no—
1853C4—42no—
1854C4—44no—
1855C4—41no—
1856C4—42no—
1857C4—42no—
1858C4—42no—
1859C4—42no—
1860C4—44no—
1861C4—41no—
1862C4—41no—
1863C4—42no—
1864C4—42no—
1865C4—42no—
1866C4—41no—
1867C4—41no—
1868C4—44no—
1869C4#354314yes—
1870C4#355114yes—
1871C2—42no—
1872C2—81no—
1873C2—82no—
1874C2—82no—
1875C2—84no—
1876C2—82no—
1877C2—82no—
1878C2C2×#355111yescharacteristic
1879C2C2×#354311yescharacteristic
1880C2#6283011yescharacteristic
1881C2#6292311yescharacteristic
1882C2#6293011yescharacteristic
1883C2#6295511yescharacteristic
1884C2#6302411yescharacteristic
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. #59444C2semidirect
2. #59050C2semidirect
3. #59035C2semidirect
4. #57954C2semidirect
5. #53991C2semidirect
6. #53535C2semidirect
7. #53082C2semidirect
8. #53064C2semidirect
9. #49650C2semidirect
10. #45701C2semidirect
11. #45655C2semidirect
12. #45236C2semidirect
13. #44903C2semidirect
14. #42962C2semidirect
15. #42942C2semidirect
16. #42589C2semidirect
17. #42578C2semidirect
18. #39539C2semidirect
19. #39469C2semidirect
20. #39342C2semidirect
21. #39334C2semidirect
22. #39148C2semidirect
23. #38953C2semidirect
24. #38942C2semidirect
25. #37954C2semidirect
26. #37634C2semidirect
27. #37331C2semidirect
28. #37272C2semidirect
29. #36463C2semidirect
30. #36176C2semidirect
31. #36150C2semidirect
32. #35196C2semidirect
33. #35166C2semidirect
34. #34925C2semidirect
35. #34788C2semidirect
37. C2×#552C22semidirect
40. C2×#537C22semidirect
41. C2×#537C22semidirect
43. C2×#533C22semidirect
46. C2×#532C22semidirect
47. C2×#532C22semidirect
49. #2857C22semidirect
51. #2856C22semidirect
52. #2856C22semidirect
53. #2855C22semidirect
55. #2854C22semidirect
57. #2838C22semidirect
58. #2837C22semidirect
59. #2828C22semidirect
60. #2828C22semidirect
61. #2825C22semidirect
62. #2820C22semidirect
63. #2816C22semidirect
64. #2814C22semidirect
65. #2803C22semidirect
66. #2803C22semidirect
67. #2797C22semidirect
68. #2773C22semidirect
69. #2756C22semidirect
70. #2756C22semidirect
71. #2756C22semidirect
72. #2753C22semidirect
73. #2752C22semidirect
74. #2749C22semidirect
75. #2737C22semidirect
76. #2735C22semidirect
77. #2730C22semidirect
78. #2730C22semidirect
79. #2729C22semidirect
80. #2714C22semidirect
81. #2712C22semidirect
82. #2703C22semidirect
83. #2703C22semidirect
84. #2703C22semidirect
85. #2699C22semidirect
86. #2699C22semidirect
87. #2699C22semidirect
88. #2697C22semidirect
89. #2694C22semidirect
90. #2690C22semidirect
91. #2688C22semidirect
92. #2688C22semidirect
93. #2686C22semidirect
94. #2685C22semidirect
95. #2685C22semidirect
96. #2682C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2676C22semidirect
102. #2674C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2671C22semidirect
110. #2669C22semidirect
112. #2668C22semidirect
113. #2668C22semidirect
114. #2661C22semidirect
115. #2660C22semidirect
116. #2656C22semidirect
117. #2649C22semidirect
118. #2644C22semidirect
120. #2641C22semidirect
121. #2635C22semidirect
122. #2632C22semidirect
124. #2619C22semidirect
125. #2617C22semidirect
126. #2616C22semidirect
127. #2616C22semidirect
130. #2610C22semidirect
131. #2571C22semidirect
133. #2563C22semidirect
134. #2561C22semidirect
135. #2560C22semidirect
136. #2557C22semidirect
137. #2555C22semidirect
138. #2555C22semidirect
139. #2555C22semidirect
140. #2552C22semidirect
141. #2551C22semidirect
144. #2542C22semidirect
145. #2542C22semidirect
146. #2542C22semidirect
152. #2541C22semidirect
154. #2540C22semidirect
155. #2540C22semidirect
156. #2540C22semidirect
157. #2540C22semidirect
160. #2537C22semidirect
161. #2536C22semidirect
162. #2536C22semidirect
163. #2536C22semidirect
164. #2535C22semidirect
165. #2535C22semidirect
166. #2532C22semidirect
167. #2531C22semidirect
168. #2525C22semidirect
169. #2516C22semidirect
170. #2516C22semidirect
171. #2516C22semidirect
174. #2513C22semidirect
176. #2510C22semidirect
177. #2509C22semidirect
178. #2508C22semidirect
180. #2504C22semidirect
183. #2500C22semidirect
184. #2497C22semidirect
185. #2495C22semidirect
186. #2494C22semidirect
189. #2491C22semidirect
190. #2491C22semidirect
192. #2490C22semidirect
193. #2490C22semidirect
194. #2490C22semidirect
195. #2490C22semidirect
196. #2488C22semidirect
197. #2487C22semidirect
198. #2486C22semidirect
199. #2485C22semidirect
200. #2479C22semidirect
201. #2476C22semidirect
202. #2476C22semidirect
203. #2472C22semidirect
204. #2459C22semidirect
205. #2454C22semidirect
206. #2448C22semidirect
207. #2448C22semidirect
209. #2445C22semidirect
210. #2444C22semidirect
211. #2442C22semidirect
212. #2441C22semidirect
213. #2439C22semidirect
218. #2428C22semidirect
219. #2428C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
222. #2428C22semidirect
224. #2427C22semidirect
227. #2426C22semidirect
228. #2426C22semidirect
229. #2424C22semidirect
231. #2421C22semidirect
232. #2420C22semidirect
233. #2420C22semidirect
234. #2420C22semidirect
235. #2420C22semidirect
237. #2417C22semidirect
240. #2416C22semidirect
241. #2415C22semidirect
242. #2415C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
248. #2414C22semidirect
255. #2407C22semidirect
256. #2401C22semidirect
257. #2395C22semidirect
258. #2388C22semidirect
259. #2388C22semidirect
260. #2375C22semidirect
261. #2369C22semidirect
262. #2367C22semidirect
264. #2366C22semidirect
265. #2363C22semidirect
266. #2362C22semidirect
267. #2357C22semidirect
269. #2354C22semidirect
270. #2354C22semidirect
271. #2352C22semidirect
272. D4×C4⋊C4C22semidirect
273. #2346C22semidirect
274. #2341C22semidirect
276. #2328C22semidirect
277. #2324C22semidirect
278. #2319C22semidirect
279. #2314C22semidirect
280. #2311C22semidirect
282. C4×C4⋊Q8C22semidirect
284. C4×#125C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
293. #2290C22semidirect
294. #2283C22semidirect
295. #2283C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#594442
#590502
#590352
#579542
#539912
#535352
#530822
#530642
#496502
#457012
#456552
#452362
#449032
#429622
#429422
#425892
#425782
#395392
#394692
#393422
#393342
#391482
#389532
#389422
#379542
#376342
#373312
#372722
#364632
#361762
#361502
#351962
#351662
#349252
#347882