Finite Group Databasebeta

← #8467126

Subgroups — #8467126

Order 512.

5397 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59822C211yesmaximal, characteristic, complemented
2#59654C211yesmaximal, characteristic, complemented
3#59412C211yesmaximal, characteristic, complemented
4#55322C214yesmaximal, complemented
5#53829C214yesmaximal, complemented
6#53495C214yesmaximal, complemented
7#53129C212yesmaximal, complemented
8#52969C212yesmaximal, complemented
9#49796C214yesmaximal, complemented
10#46042C212yesmaximal, complemented
11#45518C212yesmaximal, complemented
12#45263C212yesmaximal, complemented
13#44903C212yesmaximal, complemented
14#42925C212yesmaximal, complemented
15#42883C212yesmaximal, complemented
16#42664C212yesmaximal, complemented
17#42617C212yesmaximal, complemented
18#40164C212yesmaximal, complemented
19#39960C212yesmaximal, complemented
20#39552C212yesmaximal, complemented
21#39491C211yesmaximal, characteristic, complemented
22#39362C211yesmaximal, characteristic, complemented
23#38958C211yesmaximal, characteristic, complemented
24#38953C211yesmaximal, characteristic, complemented
25#38035C212yesmaximal, complemented
26#37626C211yesmaximal, characteristic, complemented
27#37334C212yesmaximal, complemented
28#37278C212yesmaximal, complemented
29#36609C211yesmaximal, characteristic, complemented
30#36465C211yesmaximal, characteristic, complemented
31#36412C211yesmaximal, characteristic, complemented
32#35196C211yesmaximal, characteristic, complemented
33#35185C211yesmaximal, characteristic, complemented
34#34954C211yesmaximal, characteristic, complemented
35#34934C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#555C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic
39C2×D4×Q8C2211yescharacteristic, complemented
40C2×#548C2212yescomplemented
41C2×#548C2212yescomplemented
42C2×#548C2212yescomplemented
43C2×#547C2211yescharacteristic
44C2×#546C2212yes—
45C2×D42C2211yescharacteristic
46C2×#535C2212yes—
47C2×#529C2212yescomplemented
48#2864C2212yescomplemented
49#2862C2211yescharacteristic, complemented
50#2860C2212yes—
51#2858C2211yescharacteristic
52#2858C2211yescharacteristic
53#2858C2212yescomplemented
54#2856C2212yescomplemented
55#2855C2212yescomplemented
56#2850C2212yes—
57#2837C2214yescomplemented
58#2829C2214yescomplemented
59#2828C2214yescomplemented
60#2828C2214yescomplemented
61#2828C2214yescomplemented
62#2815C2214yescomplemented
63#2815C2214yescomplemented
64#2812C2214yescomplemented
65#2803C2214yescomplemented
66#2803C2214yescomplemented
67#2800C2214yescomplemented
68#2797C2214yescomplemented
69#2796C2214yescomplemented
70#2761C2214yescomplemented
71#2753C2214yescomplemented
72#2752C2214yescomplemented
73#2735C2214yescomplemented
74#2733C2214yescomplemented
75#2733C2214yescomplemented
76#2730C2214yescomplemented
77#2730C2214yescomplemented
78#2728C2214yescomplemented
79#2714C2214yescomplemented
80#2714C2214yescomplemented
81#2714C2214yescomplemented
82#2711C2214yescomplemented
83#2710C2214yescomplemented
84#2710C2214yescomplemented
85#2710C2214yescomplemented
86#2701C2214yescomplemented
87#2700C2214yescomplemented
88#2700C2214yescomplemented
89#2700C2214yescomplemented
90#2699C2214yescomplemented
91#2688C2214yescomplemented
92#2688C2214yescomplemented
93#2686C2214yescomplemented
94#2685C2214yescomplemented
95#2685C2214yescomplemented
96#2685C2214yescomplemented
97#2684C2214yescomplemented
98#2681C2214yescomplemented
99#2681C2214yescomplemented
100#2678C2214yes—
101#2678C2214yes—
102#2678C2214yes—
103#2678C2214yescomplemented
104#2676C2214yescomplemented
105#2676C2214yescomplemented
106#2673C2214yescomplemented
107#2670C2214yes—
108#2670C2214yes—
109#2670C2214yescomplemented
110#2670C2214yescomplemented
111#2669C2214yescomplemented
112#2669C2214yescomplemented
113#2668C2214yescomplemented
114#2663C2214yescomplemented
115#2654C2214yescomplemented
116#2650C2214yescomplemented
117#2649C2214yescomplemented
118#2648C2214yescomplemented
119#2635C2214yescomplemented
120#2635C2214yescomplemented
121#2635C2214yescomplemented
122#2624C2212yescomplemented
123#2624C2212yescomplemented
124#2620C2212yes—
125#2620C2212yes—
126#2619C2212yes—
127#2619C2212yes—
128#2619C2212yescomplemented
129#2619C2212yescomplemented
130#2602C2214yescomplemented
131#2600C2214yescomplemented
132#2593C2212yescomplemented
133#2593C2212yescomplemented
134#2592C2212yescomplemented
135#2592C2212yescomplemented
136#2582C2211yescharacteristic, complemented
137#2580C2212yescomplemented
138#2571C2211yescharacteristic, complemented
139#2571C2211yescharacteristic, complemented
140#2567C2211yescharacteristic, complemented
141#2563C2211yescharacteristic
142#2561C2214yescomplemented
143#2560C2214yescomplemented
144#2556C2214yescomplemented
145#2555C2214yescomplemented
146#2555C2214yescomplemented
147#2554C2212yescomplemented
148#2554C2212yescomplemented
149#2552C2211yescharacteristic, complemented
150#2548C2211yescharacteristic
151#2548C2211yescharacteristic
152#2548C2211yescharacteristic
153#2548C2214yescomplemented
154#2547C2211yescharacteristic
155#2542C2211yescharacteristic, complemented
156#2542C2212yescomplemented
157#2541C2211yescharacteristic
158#2541C2211yescharacteristic
159#2541C2211yescharacteristic
160#2541C2212yes—
161#2541C2212yescomplemented
162#2541C2212yescomplemented
163#2540C2214yescomplemented
164#2540C2214yescomplemented
165#2540C2212yescomplemented
166#2540C2212yescomplemented
167#2538C2211yescharacteristic
168#2538C2211yescharacteristic, complemented
169#2537C2211yescharacteristic
170#2537C2211yescharacteristic, complemented
171#2536C2212yescomplemented
172#2535C2212yes—
173#2516C2214yescomplemented
174#2516C2214yescomplemented
175#2513C2212yes—
176#2513C2211yescharacteristic
177#2513C2212yescomplemented
178#2513C2212yescomplemented
179#2513C2212yescomplemented
180#2513C2211yescharacteristic, complemented
181#2512C2211yescharacteristic
182#2512C2211yescharacteristic, complemented
183#2509C2212yescomplemented
184#2504C2212yescomplemented
185#2500C2212yes—
186#2500C2212yes—
187#2500C2212yescomplemented
188#2499C2212yescomplemented
189#2497C2212yescomplemented
190#2496C2212yescomplemented
191#2491C2212yes—
192#2490C2212yescomplemented
193#2472C2214yescomplemented
194#2469C2214yescomplemented
195#2466C2214yescomplemented
196#2461C2214yescomplemented
197#2459C2214yescomplemented
198#2456C2214yescomplemented
199#2448C2211yescharacteristic
200#2448C2212yescomplemented
201#2448C2212yescomplemented
202#2448C2212yescomplemented
203#2448C2211yescharacteristic, complemented
204#2447C2212yescomplemented
205#2447C2212yescomplemented
206#2445C2211yescharacteristic
207#2445C2211yescharacteristic, complemented
208#2440C2212yescomplemented
209#2439C2212yescomplemented
210#2439C2212yescomplemented
211#2436C2212yes—
212#2435C2212yes—
213#2433C2212yes—
214#2433C2212yes—
215#2431C2212yes—
216#2431C2212yescomplemented
217#2428C2212yes—
218#2428C2212yes—
219#2428C2212yescomplemented
220#2428C2212yescomplemented
221#2428C2214yescomplemented
222#2428C2212yescomplemented
223#2428C2212yescomplemented
224#2426C2212yes—
225#2426C2212yescomplemented
226#2424C2214yes—
227#2424C2214yescomplemented
228#2422C2212yes—
229#2421C2212yescomplemented
230#2421C2212yescomplemented
231#2420C2212yescomplemented
232#2420C2212yescomplemented
233#2420C2212yescomplemented
234#2420C2212yescomplemented
235#2420C2212yescomplemented
236#2416C2212yes—
237#2416C2212yes—
238#2415C2212yescomplemented
239#2415C2212yescomplemented
240#2414C2212yes—
241#2414C2212yes—
242#2414C2212yes—
243#2414C2212yescomplemented
244#2414C2212yescomplemented
245#2414C2212yescomplemented
246#2409C2212yescomplemented
247#2408C2212yes—
248#2408C2212yes—
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2407C2212yes—
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2395C2212yescomplemented
257#2395C2212yescomplemented
258#2392C2212yescomplemented
259#2392C2212yescomplemented
260#2377C2214yescomplemented
261#2367C2212yescomplemented
262#2367C2212yescomplemented
263#2363C2212yescomplemented
264#2363C2212yescomplemented
265#2361C2212yescomplemented
266#2357C2212yescomplemented
267#2354C2212yescomplemented
268#2354C2212yescomplemented
269D4×C22⋊C4C2212yes—
270#2324C2212yescomplemented
271#2323C2212yescomplemented
272#2321C2214yescomplemented
273#2317C2212yescomplemented
274#2314C2212yescomplemented
275#2314C2212yescomplemented
276#2310C2212yescomplemented
277#2309C2212yes—
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×C4⋊Q8C2211yescharacteristic, complemented
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#127C2211yescharacteristic, complemented
285C4×#127C2212yescomplemented
286C4×#124C2211yescharacteristic
287C4×#124C2211yescharacteristic, complemented
288C4×#124C2212yescomplemented
289C4×#121C2212yescomplemented
290#2297C2212yescomplemented
291#2293C2211yescharacteristic
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic, complemented
294#2293C2211yescharacteristic, complemented
295#2293C2212yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#555—44no—
305#555—44no—
306#550—44no—
307D4×Q8—44no—
308#548—48no—
309#548—48no—
310#548—48no—
311#547—44no—
312#546—48no—
313D42—44no—
314#535—48no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2314yes—
327#529—48no—
328C2×#126C2312yes—
329C2×#126C2312yes—
330C2×#126C2314yes—
331C2×#125C2312yes—
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#124C2314yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#124C2314yes—
345C2×#124C2312yes—
346C2×#123C2314yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
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×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2314yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C22⋊C4C2314yes—
436C22×C42C2312yes—
437#400C2312yes—
438#400C2314yes—
439#400C2312yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2312yes—
447#399C2314yes—
448#399C2312yes—
449#399C2314yes—
450#398C2312yes—
451#398C2314yes—
452#398C2312yes—
453#398C2312yes—
454#398C2312yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2312yes—
486#396C2312yes—
487#396C2314yes—
488#395C2314yes—
489#395C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2312yes—
510#394C2312yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2312yes—
524#394C2312yes—
525#394C2312yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#392C2312yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2312yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#391C2314yes—
564#391C2312yes—
565#391C2312yes—
566#391C2311yescharacteristic
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2314yes—
571#391C2311yescharacteristic
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#390C2314yes—
577#390C2311yescharacteristic
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2311yescharacteristic
582#390C2311yescharacteristic
583#390C2312yes—
584#390C2311yescharacteristic
585#390C2311yescharacteristic
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2311yescharacteristic
592#390C2311yescharacteristic
593#390C2312yes—
594#390C2311yescharacteristic
595#390C2314yes—
596#390C2312yes—
597#390C2314yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2314yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2312yes—
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2311yescharacteristic
614#390C2311yescharacteristic
615#390C2314yes—
616#390C2314yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2314yes—
621#390C2311yescharacteristic
622#390C2314yes—
623#390C2311yescharacteristic
624#390C2311yescharacteristic
625#390C2311yescharacteristic
626#390C2312yes—
627#390C2314yes—
628#390C2311yescharacteristic
629#390C2311yescharacteristic
630#390C2311yescharacteristic
631#390C2312yes—
632#390C2311yescharacteristic
633#390C2312yes—
634#390C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2312yes—
654#389C2311yescharacteristic
655#389C2312yes—
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2314yes—
696#388C2312yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2312yes—
703#388C2312yes—
704#388C2314yes—
705#388C2312yes—
706#388C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2312yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#384C2311yescharacteristic
750#384C2312yes—
751#384C2311yescharacteristic
752#384C2312yes—
753#382C2312yes—
754#382C2312yes—
755#382C2312yes—
756#382C2312yes—
757#382C2311yescharacteristic
758#382C2311yescharacteristic
759#382C2312yes—
760#382C2312yes—
761#381C2314yes—
762#381C2314yes—
763#381C2314yes—
764#381C2314yes—
765#381C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781C4×C4⋊C4C2314yes—
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⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C43C2312yes—
822C25C2414yes—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C22×Q8—28no—
830C22×Q8—44no—
831C22×Q8—44no—
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2414yes—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2414yes—
879C23×C4C2412yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C4⋊Q8—24no—
884C4⋊Q8—24no—
885C4⋊Q8—44no—
886#127—24no—
887#127—24no—
888#127—42no—
889#127—44no—
890#127—42no—
891#127—42no—
892#127—44no—
893#127—44no—
894#127—84no—
895#126—44no—
896#126—44no—
897#126—84no—
898#125—44no—
899#124—24no—
900#124—24no—
901#124—28no—
902#124—44no—
903#124—48no—
904#124—44no—
905#124—44no—
906#124—48no—
907#124—44no—
908#124—44no—
909#124—48no—
910#124—48no—
911#124—48no—
912#124—82no—
913#123—44no—
914#123—48no—
915#123—48no—
916#123—44no—
917C22⋊Q8—28no—
918C22⋊Q8—48no—
919C22⋊Q8—48no—
920C22⋊Q8—44no—
921C22⋊Q8—48no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—48no—
926C22⋊Q8—44no—
927#121—48no—
928#121—48no—
929#121—44no—
930#121—48no—
931#121—48no—
932#121—48no—
933#121—48no—
934#121—48no—
935#121—44no—
936#121—44no—
937#121—44no—
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—48no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—84no—
954#121—84no—
955#120—48no—
956#120—48no—
957#120—48no—
958#120—48no—
959#120—48no—
960#120—84no—
961#120—84no—
962C4×Q8—24no—
963C4×Q8—24no—
964C4×Q8—24no—
965C4×Q8—24no—
966C4×Q8—42no—
967C4×Q8—42no—
968C4×Q8—44no—
969C4×Q8—82no—
970C4×D4—28no—
971C4×D4—24no—
972C4×D4—24no—
973C4×D4—24no—
974C4×D4—24no—
975C4×D4—24no—
976C4×D4—48no—
977C4×D4—42no—
978C4×D4—44no—
979C4×D4—42no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—48no—
990C4×D4—44no—
991C4×D4—48no—
992C4×D4—82no—
993#117—28no—
994#117—44no—
995#117—44no—
996#117—44no—
997#117—44no—
998#117—44no—
999#117—44no—
1000#117—44no—
1001C2×C4⋊C4—44no—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C22⋊C4—48no—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C42—44no—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2414yes—
1159C2×C42C2414yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2414yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2414yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2412yes—
1199#95C2411yescharacteristic
1200#95C2412yes—
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
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—816no—
1235#41—816no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—24no—
1240C2×Q8—24no—
1241C2×Q8—24no—
1242C2×Q8—28no—
1243C2×Q8—24no—
1244C2×Q8—22no—
1245C2×Q8—41no—
1246C2×Q8—42no—
1247C2×Q8—44no—
1248C2×Q8—44no—
1249C2×Q8—42no—
1250C2×Q8—816no—
1251C2×Q8H(5,𝔽2)14yes—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—28no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—24no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
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—42no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
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—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
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—28no—
1357C22×C4—28no—
1358C22×C4—24no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—44no—
1370C22×C4—42no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2514yes—
1381C22×C4C2512yes—
1382C22×C4C2514yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2514yes—
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—28no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—24no—
1429C4⋊C4—22no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—41no—
1448C4⋊C4—41no—
1449C4⋊C4—41no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C22⋊C4—24no—
1459C22⋊C4—28no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—28no—
1471C22⋊C4—24no—
1472C22⋊C4—28no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
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—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C42—22no—
1541C42—24no—
1542C42—22no—
1543C42—22no—
1544C42—24no—
1545C42—24no—
1546C42—22no—
1547C42—24no—
1548C42—22no—
1549C42—22no—
1550C42—24no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—42no—
1558C42—42no—
1559C42—44no—
1560C42—44no—
1561C42—44no—
1562C42—41no—
1563C42—41no—
1564C42—41no—
1565C42—41no—
1566C42—44no—
1567C42—42no—
1568C42—41no—
1569C42—42no—
1570C42H(5,𝔽2)14yes—
1571C42H(5,𝔽2)14yes—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—24no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—24no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—24no—
1589C23—22no—
1590C23—22no—
1591C23—24no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—24no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—24no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—24no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—88no—
1615C23—88no—
1616C23—88no—
1617C23—164no—
1618C23—164no—
1619C23—164no—
1620C23—164no—
1621C23C2611yescharacteristic
1622Q8—28no—
1623Q8—44no—
1624Q8—48no—
1625Q8—84no—
1626Q8—88no—
1627D4—44no—
1628D4—48no—
1629D4—44no—
1630D4—44no—
1631D4—44no—
1632D4—48no—
1633D4—44no—
1634D4—84no—
1635D4—84no—
1636D4—84no—
1637D4—84no—
1638D4—84no—
1639D4—88no—
1640D4—84no—
1641D4—88no—
1642D4—84no—
1643D4—88no—
1644D4—84no—
1645D4—84no—
1646D4—88no—
1647D4—88no—
1648D4—88no—
1649D4—88no—
1650D4—164no—
1651D4—164no—
1652D4—164no—
1653D4—164no—
1654D4—164no—
1655D4—164no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
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—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—24no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—24no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—48no—
1733C2×C4—48no—
1734C2×C4—48no—
1735C2×C4—48no—
1736C2×C4—48no—
1737C2×C4—84no—
1738C2×C4—88no—
1739C2×C4—88no—
1740C2×C4—84no—
1741C2×C4—88no—
1742C2×C4—164no—
1743C2×C4C2×H(5,𝔽2)12yes—
1744C2×C4C2×H(5,𝔽2)14yes—
1745C2×C4C2×H(5,𝔽2)12yes—
1746C2×C4C2×H(5,𝔽2)12yes—
1747C2×C4C2×H(5,𝔽2)12yes—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4C2×H(5,𝔽2)12yes—
1751C2×C4#58512yes—
1752C2×C4#58512yes—
1753C2×C4#58512yes—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—44no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—44no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—44no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—44no—
1778C22—44no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—44no—
1788C22—42no—
1789C22—42no—
1790C22—44no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—1616no—
1797C22C22×H(5,𝔽2)11yescharacteristic
1798C22C22×H(5,𝔽2)11yescharacteristic
1799C22C22×H(5,𝔽2)11yescharacteristic
1800C22C2×#58511yescharacteristic
1801C22C2×#58511yescharacteristic
1802C22C2×#58511yescharacteristic
1803C22H(7,𝔽2)11yescharacteristic
1804C4—24no—
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—44no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—42no—
1819C4—42no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—44no—
1824C4—41no—
1825C4—41no—
1826C4—42no—
1827C4—42no—
1828C4—41no—
1829C4—42no—
1830C4—44no—
1831C4#354314yes—
1832C4#356214yes—
1833C2—82no—
1834C2—82no—
1835C2—82no—
1836C2—84no—
1837C2—82no—
1838C2—82no—
1839C2C2×#356211yescharacteristic
1840C2C2×#354311yescharacteristic
1841C2#6283011yescharacteristic
1842C2#6292311yescharacteristic
1843C2#6293011yescharacteristic
1844C2#6296111yescharacteristic
1845C2#6302211yescharacteristic
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. #59822C2semidirect
2. #59654C2semidirect
3. #59412C2semidirect
4. #55322C2semidirect
5. #53829C2semidirect
6. #53495C2semidirect
7. #53129C2semidirect
8. #52969C2semidirect
9. #49796C2semidirect
10. #46042C2semidirect
11. #45518C2semidirect
12. #45263C2semidirect
13. #44903C2semidirect
14. #42925C2semidirect
15. #42883C2semidirect
16. #42664C2semidirect
17. #42617C2semidirect
18. #40164C2semidirect
19. #39960C2semidirect
20. #39552C2semidirect
21. #39491C2semidirect
22. #39362C2semidirect
23. #38958C2semidirect
24. #38953C2semidirect
25. #38035C2semidirect
26. #37626C2semidirect
27. #37334C2semidirect
28. #37278C2semidirect
29. #36609C2semidirect
30. #36465C2semidirect
31. #36412C2semidirect
32. #35196C2semidirect
33. #35185C2semidirect
34. #34954C2semidirect
35. #34934C2semidirect
37. C2×#555C22semidirect
39. C2×D4×Q8C22semidirect
40. C2×#548C22semidirect
41. C2×#548C22semidirect
42. C2×#548C22semidirect
47. C2×#529C22semidirect
48. #2864C22semidirect
49. #2862C22semidirect
53. #2858C22semidirect
54. #2856C22semidirect
55. #2855C22semidirect
57. #2837C22semidirect
58. #2829C22semidirect
59. #2828C22semidirect
60. #2828C22semidirect
61. #2828C22semidirect
62. #2815C22semidirect
63. #2815C22semidirect
64. #2812C22semidirect
65. #2803C22semidirect
66. #2803C22semidirect
67. #2800C22semidirect
68. #2797C22semidirect
69. #2796C22semidirect
70. #2761C22semidirect
71. #2753C22semidirect
72. #2752C22semidirect
73. #2735C22semidirect
74. #2733C22semidirect
75. #2733C22semidirect
76. #2730C22semidirect
77. #2730C22semidirect
78. #2728C22semidirect
79. #2714C22semidirect
80. #2714C22semidirect
81. #2714C22semidirect
82. #2711C22semidirect
83. #2710C22semidirect
84. #2710C22semidirect
85. #2710C22semidirect
86. #2701C22semidirect
87. #2700C22semidirect
88. #2700C22semidirect
89. #2700C22semidirect
90. #2699C22semidirect
91. #2688C22semidirect
92. #2688C22semidirect
93. #2686C22semidirect
94. #2685C22semidirect
95. #2685C22semidirect
96. #2685C22semidirect
97. #2684C22semidirect
98. #2681C22semidirect
99. #2681C22semidirect
103. #2678C22semidirect
104. #2676C22semidirect
105. #2676C22semidirect
106. #2673C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
113. #2668C22semidirect
114. #2663C22semidirect
115. #2654C22semidirect
116. #2650C22semidirect
117. #2649C22semidirect
118. #2648C22semidirect
119. #2635C22semidirect
120. #2635C22semidirect
121. #2635C22semidirect
122. #2624C22semidirect
123. #2624C22semidirect
128. #2619C22semidirect
129. #2619C22semidirect
130. #2602C22semidirect
131. #2600C22semidirect
132. #2593C22semidirect
133. #2593C22semidirect
134. #2592C22semidirect
135. #2592C22semidirect
136. #2582C22semidirect
137. #2580C22semidirect
138. #2571C22semidirect
139. #2571C22semidirect
140. #2567C22semidirect
142. #2561C22semidirect
143. #2560C22semidirect
144. #2556C22semidirect
145. #2555C22semidirect
146. #2555C22semidirect
147. #2554C22semidirect
148. #2554C22semidirect
149. #2552C22semidirect
153. #2548C22semidirect
155. #2542C22semidirect
156. #2542C22semidirect
161. #2541C22semidirect
162. #2541C22semidirect
163. #2540C22semidirect
164. #2540C22semidirect
165. #2540C22semidirect
166. #2540C22semidirect
168. #2538C22semidirect
170. #2537C22semidirect
171. #2536C22semidirect
173. #2516C22semidirect
174. #2516C22semidirect
177. #2513C22semidirect
178. #2513C22semidirect
179. #2513C22semidirect
180. #2513C22semidirect
182. #2512C22semidirect
183. #2509C22semidirect
184. #2504C22semidirect
187. #2500C22semidirect
188. #2499C22semidirect
189. #2497C22semidirect
190. #2496C22semidirect
192. #2490C22semidirect
193. #2472C22semidirect
194. #2469C22semidirect
195. #2466C22semidirect
196. #2461C22semidirect
197. #2459C22semidirect
198. #2456C22semidirect
200. #2448C22semidirect
201. #2448C22semidirect
202. #2448C22semidirect
203. #2448C22semidirect
204. #2447C22semidirect
205. #2447C22semidirect
207. #2445C22semidirect
208. #2440C22semidirect
209. #2439C22semidirect
210. #2439C22semidirect
216. #2431C22semidirect
219. #2428C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
222. #2428C22semidirect
223. #2428C22semidirect
225. #2426C22semidirect
227. #2424C22semidirect
229. #2421C22semidirect
230. #2421C22semidirect
231. #2420C22semidirect
232. #2420C22semidirect
233. #2420C22semidirect
234. #2420C22semidirect
235. #2420C22semidirect
238. #2415C22semidirect
239. #2415C22semidirect
243. #2414C22semidirect
244. #2414C22semidirect
245. #2414C22semidirect
246. #2409C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2395C22semidirect
257. #2395C22semidirect
258. #2392C22semidirect
259. #2392C22semidirect
260. #2377C22semidirect
261. #2367C22semidirect
262. #2367C22semidirect
263. #2363C22semidirect
264. #2363C22semidirect
265. #2361C22semidirect
266. #2357C22semidirect
267. #2354C22semidirect
268. #2354C22semidirect
270. #2324C22semidirect
271. #2323C22semidirect
272. #2321C22semidirect
273. #2317C22semidirect
274. #2314C22semidirect
275. #2314C22semidirect
276. #2310C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×C4⋊Q8C22semidirect
284. C4×#127C22semidirect
285. C4×#127C22semidirect
287. C4×#124C22semidirect
288. C4×#124C22semidirect
289. C4×#121C22semidirect
290. #2297C22semidirect
293. #2293C22semidirect
294. #2293C22semidirect
295. #2293C22semidirect
296. C42×Q8C22semidirect
297. C42×Q8C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598222
#596542
#594122
#553222
#538292
#534952
#531292
#529692
#497962
#460422
#455182
#452632
#449032
#429252
#428832
#426642
#426172
#401642
#399602
#395522
#394912
#393622
#389582
#389532
#380352
#376262
#373342
#372782
#366092
#364652
#364122
#351962
#351852
#349542
#349342