Finite Group Databasebeta

← #8467048

Subgroups — #8467048

Order 512.

5314 conjugacy classes of subgroups.

The subgroup lattice has 1807 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59679C211yesmaximal, characteristic, complemented
2#59124C211yesmaximal, characteristic, complemented
3#59057C211yesmaximal, characteristic, complemented
4#58244C214yesmaximal, complemented
5#57179C214yesmaximal, complemented
6#55356C214yesmaximal, complemented
7#52981C212yesmaximal, complemented
8#52973C212yesmaximal, complemented
9#49560C214yesmaximal, complemented
10#46340C212yesmaximal, complemented
11#46063C212yesmaximal, complemented
12#45367C212yesmaximal, complemented
13#45108C212yesmaximal, complemented
14#42642C212yesmaximal, complemented
15#42607C212yesmaximal, complemented
16#42486C212yesmaximal, complemented
17#42443C212yesmaximal, complemented
18#39725C211yesmaximal, characteristic, complemented
19#39598C211yesmaximal, characteristic, complemented
20#39406C212yesmaximal, complemented
21#39387C212yesmaximal, complemented
22#39381C212yesmaximal, complemented
23#39351C211yesmaximal, characteristic, complemented
24#38952C211yesmaximal, characteristic, complemented
25#38202C212yesmaximal, complemented
26#37640C211yesmaximal, characteristic, complemented
27#37343C212yesmaximal, complemented
28#37334C212yesmaximal, complemented
29#36480C211yesmaximal, characteristic, complemented
30#36300C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32#35285C211yesmaximal, characteristic, complemented
33#35198C211yesmaximal, characteristic, complemented
34#34929C211yesmaximal, characteristic, complemented
35#34797C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic, complemented
37C2×#550C2211yescharacteristic
38C2×#546C2212yes—
39C2×#546C2212yes—
40C2×#542C2212yescomplemented
41C2×#542C2214yescomplemented
42C2×#542C2212yescomplemented
43C2×#533C2211yescharacteristic
44C2×#533C2211yescharacteristic, complemented
45C2×#532C2211yescharacteristic
46C22×#127C2211yescharacteristic
47#2863C2212yescomplemented
48#2860C2212yescomplemented
49#2860C2212yescomplemented
50#2858C2211yescharacteristic
51#2858C2212yes—
52#2858C2212yes—
53#2858C2212yescomplemented
54#2857C2211yescharacteristic
55#2856C2211yescharacteristic
56#2842C2214yes—
57#2837C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2826C2214yescomplemented
61#2820C2214yescomplemented
62#2813C2214yescomplemented
63#2813C2214yescomplemented
64#2803C2214yescomplemented
65#2800C2214yescomplemented
66#2780C2214yescomplemented
67#2757C2214yescomplemented
68#2757C2214yescomplemented
69#2756C2214yescomplemented
70#2756C2214yescomplemented
71#2749C2214yescomplemented
72#2748C2214yescomplemented
73#2735C2214yes—
74#2733C2214yescomplemented
75#2732C2214yescomplemented
76#2730C2214yescomplemented
77#2730C2214yescomplemented
78#2730C2214yescomplemented
79#2727C2214yescomplemented
80#2723C2214yescomplemented
81#2718C2214yescomplemented
82#2715C2214yescomplemented
83#2714C2214yescomplemented
84#2711C2214yescomplemented
85#2710C2214yescomplemented
86#2710C2214yescomplemented
87#2708C2214yescomplemented
88#2705C2214yescomplemented
89#2705C2214yescomplemented
90#2704C2214yescomplemented
91#2702C2214yescomplemented
92#2697C2214yes—
93#2695C2214yescomplemented
94#2692C2214yescomplemented
95#2687C2214yescomplemented
96#2686C2214yescomplemented
97#2685C2214yes—
98#2685C2214yes—
99#2685C2214yes—
100#2684C2214yes—
101#2683C2214yes—
102#2682C2214yescomplemented
103#2678C2214yes—
104#2676C2214yescomplemented
105#2676C2214yescomplemented
106#2674C2214yescomplemented
107#2673C2214yes—
108#2672C2214yescomplemented
109#2672C2214yescomplemented
110#2672C2214yescomplemented
111#2672C2214yescomplemented
112#2670C2214yes—
113#2662C2214yescomplemented
114#2649C2214yescomplemented
115#2641C2214yes—
116#2632C2214yescomplemented
117#2629C2212yes—
118#2626C2214yes—
119#2626C2214yes—
120#2624C2212yescomplemented
121#2624C2212yescomplemented
122#2624C2212yescomplemented
123#2620C2212yescomplemented
124#2620C2212yescomplemented
125#2620C2212yescomplemented
126#2620C2214yescomplemented
127#2619C2212yescomplemented
128#2616C2214yescomplemented
129#2605C2214yescomplemented
130#2584C2212yescomplemented
131#2580C2212yescomplemented
132#2567C2211yescharacteristic, complemented
133#2567C2211yescharacteristic, complemented
134#2566C2212yescomplemented
135#2556C2212yes—
136#2556C2212yescomplemented
137#2554C2214yescomplemented
138#2554C2214yescomplemented
139#2551C2211yescharacteristic, complemented
140#2551C2211yescharacteristic, complemented
141#2548C2212yes—
142#2548C2211yescharacteristic
143#2548C2211yescharacteristic
144#2548C2211yescharacteristic
145#2548C2211yescharacteristic
146#2548C2211yescharacteristic
147#2548C2212yes—
148#2548C2212yescomplemented
149#2547C2212yescomplemented
150#2546C2211yescharacteristic, complemented
151#2545C2212yescomplemented
152#2544C2212yes—
153#2542C2211yescharacteristic
154#2542C2212yescomplemented
155#2542C2212yescomplemented
156#2541C2211yescharacteristic
157#2541C2212yes—
158#2540C2212yescomplemented
159#2540C2212yescomplemented
160#2538C2211yescharacteristic
161#2538C2212yes—
162#2538C2212yescomplemented
163#2538C2212yescomplemented
164#2538C2211yescharacteristic, complemented
165#2538C2212yescomplemented
166#2534C2214yes—
167#2531C2212yescomplemented
168#2529C2212yescomplemented
169#2521C2214yescomplemented
170#2518C2212yes—
171#2513C2212yescomplemented
172#2513C2212yescomplemented
173#2512C2212yescomplemented
174#2512C2212yescomplemented
175#2512C2212yescomplemented
176#2512C2212yescomplemented
177#2512C2211yescharacteristic, complemented
178#2509C2212yescomplemented
179#2507C2211yescharacteristic, complemented
180#2506C2212yescomplemented
181#2501C2212yescomplemented
182#2500C2211yescharacteristic
183#2497C2212yes—
184#2495C2211yescharacteristic, complemented
185#2492C2212yes—
186#2492C2211yescharacteristic
187#2492C2211yescharacteristic, complemented
188#2491C2212yescomplemented
189#2491C2212yescomplemented
190#2491C2212yescomplemented
191#2490C2212yescomplemented
192#2490C2211yescharacteristic, complemented
193#2485C2211yescharacteristic
194#2480C2214yes—
195#2479C2214yescomplemented
196#2474C2214yescomplemented
197#2472C2214yes—
198#2467C2212yes—
199#2466C2214yescomplemented
200#2465C2214yes—
201#2461C2214yescomplemented
202#2461C2214yescomplemented
203#2454C2212yescomplemented
204#2454C2212yescomplemented
205#2454C2212yescomplemented
206#2454C2212yescomplemented
207#2452C2212yes—
208#2452C2212yescomplemented
209#2452C2212yescomplemented
210#2448C2212yescomplemented
211#2448C2212yescomplemented
212#2447C2212yescomplemented
213#2445C2212yes—
214#2445C2212yes—
215#2445C2212yes—
216#2445C2212yescomplemented
217#2445C2212yescomplemented
218#2445C2212yescomplemented
219#2441C2211yescharacteristic
220#2440C2212yescomplemented
221#2439C2212yes—
222#2437C2214yes—
223#2435C2212yes—
224#2435C2212yes—
225#2435C2214yes—
226#2435C2212yes—
227#2433C2212yes—
228#2432C2212yescomplemented
229#2432C2212yescomplemented
230#2431C2212yes—
231#2431C2212yes—
232#2429C2211yescharacteristic
233#2429C2211yescharacteristic, complemented
234#2429C2212yescomplemented
235#2428C2212yes—
236#2428C2212yes—
237#2428C2212yes—
238#2428C2212yescomplemented
239#2427C2214yescomplemented
240#2427C2212yescomplemented
241#2426C2214yescomplemented
242#2426C2214yescomplemented
243#2426C2212yescomplemented
244#2422C2212yescomplemented
245#2417C2212yes—
246#2416C2212yescomplemented
247#2414C2211yescharacteristic
248#2411C2214yes—
249#2410C2214yes—
250#2408C2212yes—
251#2408C2212yes—
252#2408C2212yes—
253#2407C2212yescomplemented
254#2407C2214yescomplemented
255#2396C2212yes—
256#2396C2212yescomplemented
257#2395C2212yes—
258#2392C2212yes—
259#2376C2214yescomplemented
260#2369C2211yescharacteristic, complemented
261#2367C2212yescomplemented
262#2367C2212yescomplemented
263#2366C2211yescharacteristic
264#2366C2212yescomplemented
265#2365C2212yescomplemented
266#2361C2212yescomplemented
267#2357C2212yescomplemented
268#2355C2211yescharacteristic, complemented
269#2354C2212yescomplemented
270Q8×C4⋊C4C2211yescharacteristic, complemented
271#2347C2212yes—
272D4×C22⋊C4C2212yes—
273D4×C22⋊C4C2212yes—
274D4×C22⋊C4C2212yes—
275#2324C2212yes—
276#2324C2212yescomplemented
277#2324C2212yescomplemented
278#2311C2212yescomplemented
279#2309C2212yes—
280#2309C2212yes—
281C4×C4⋊Q8C2212yescomplemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×C4⋊Q8C2212yescomplemented
284C4×#127C2211yescharacteristic
285C4×#125C2211yescharacteristic, complemented
286C4×#126C2212yescomplemented
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic, complemented
291#2293C2212yes—
292#2293C2211yescharacteristic, complemented
293#2293C2212yescomplemented
294#2293C2212yescomplemented
295#2285C2211yescharacteristic, complemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#554—44no—
305#550—44no—
306#546—48no—
307#546—48no—
308#542—48no—
309#542—48no—
310#542—416no—
311#533—44no—
312#533—44no—
313#532—44no—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2311yescharacteristic
323C2×#127—44no—
324C2×#127C2311yescharacteristic
325C2×#127C2311yescharacteristic
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#126C2312yes—
332C2×#126C2314yes—
333C2×#126C2314yes—
334C2×#126C2314yes—
335C2×#126C2314yes—
336C2×#125C2311yescharacteristic
337C2×#125C2312yes—
338C2×#125C2312yes—
339C2×#125C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2314yes—
346C2×#124C2312yes—
347C2×#124C2314yes—
348C2×#124C2314yes—
349C2×#124C2312yes—
350C2×#124C2314yes—
351C2×#124C2314yes—
352C2×#124C2312yes—
353C2×#124C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2311yescharacteristic
366C2×C22⋊Q8C2311yescharacteristic
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2311yescharacteristic
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2311yescharacteristic
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2314yes—
378C2×#121C2311yescharacteristic
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2311yescharacteristic
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2314yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
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×D4C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×#117C2311yescharacteristic
422C2×#117C2312yes—
423C2×#117C2311yescharacteristic
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2314yes—
427C2×#117C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C22⋊C4C2314yes—
430C22×C22⋊C4C2314yes—
431C22×C42C2311yescharacteristic
432C22×C42C2311yescharacteristic
433#400C2312yes—
434#400C2314yes—
435#400C2314yes—
436#400C2312yes—
437#400C2312yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2312yes—
446#399C2312yes—
447#399C2314yes—
448#399C2314yes—
449#399C2312yes—
450#398C2312yes—
451#398C2314yes—
452#398C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2312yes—
456#398C2312yes—
457#398C2312yes—
458#398C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2312yes—
495#396C2312yes—
496#396C2314yes—
497#396C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#395C2312yes—
503#395C2312yes—
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#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2312yes—
534#394C2312yes—
535#394C2312yes—
536#394C2312yes—
537#394C2312yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#393C2314yes—
543#393C2312yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2312yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2312yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#391C2311yescharacteristic
560#391C2314yes—
561#391C2311yescharacteristic
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2314yes—
568#391C2314yes—
569#391C2311yescharacteristic
570#391C2312yes—
571#391C2311yescharacteristic
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2314yes—
591#390C2314yes—
592#390C2312yes—
593#390C2314yes—
594#390C2312yes—
595#390C2314yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2314yes—
606#390C2311yescharacteristic
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2314yes—
611#390C2312yes—
612#390C2312yes—
613#390C2311yescharacteristic
614#390C2314yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2314yes—
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2314yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2314yes—
643#389C2314yes—
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2312yes—
648#389C2314yes—
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
687#388C2314yes—
688#388C2312yes—
689#388C2312yes—
690#388C2314yes—
691#388C2312yes—
692#388C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2312yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2312yes—
736#385C2314yes—
737#384C2311yescharacteristic
738#384C2312yes—
739#384C2312yes—
740#384C2311yescharacteristic
741#384C2312yes—
742#384C2312yes—
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#383C2312yes—
746#383C2314yes—
747#382C2311yescharacteristic
748#382C2312yes—
749#382C2312yes—
750#381C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2314yes—
766#380C2311yescharacteristic
767#380C2314yes—
768#379C2314yes—
769#379C2314yes—
770#379C2314yes—
771#379C2314yes—
772#379C2314yes—
773#379C2314yes—
774#379C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817#376C2312yes—
818C43C2312yes—
819C43C2311yescharacteristic
820C43C2312yes—
821C25C2414yes—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—82no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×Q8C2412yes—
835C22×D4—28no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—82no—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C4⋊Q8—28no—
876C4⋊Q8—28no—
877C4⋊Q8—24no—
878C4⋊Q8—44no—
879C4⋊Q8—42no—
880C4⋊Q8—42no—
881C4⋊Q8—42no—
882C4⋊Q8—42no—
883C4⋊Q8—42no—
884#127—24no—
885#127—24no—
886#127—44no—
887#127—44no—
888#127—44no—
889#127—44no—
890#127—44no—
891#126—28no—
892#126—48no—
893#126—48no—
894#126—48no—
895#126—84no—
896#125—42no—
897#125—44no—
898#125—44no—
899#125—44no—
900#124—48no—
901#124—44no—
902#124—44no—
903#124—44no—
904#124—44no—
905#124—44no—
906#124—44no—
907#124—48no—
908#124—48no—
909#124—44no—
910#124—48no—
911#124—48no—
912#124—84no—
913#124—82no—
914#123—216no—
915#123—48no—
916#123—48no—
917#123—48no—
918#123—48no—
919#123—84no—
920C22⋊Q8—24no—
921C22⋊Q8—24no—
922C22⋊Q8—48no—
923C22⋊Q8—48no—
924C22⋊Q8—48no—
925C22⋊Q8—48no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—42no—
930C22⋊Q8—42no—
931C22⋊Q8—42no—
932C22⋊Q8—42no—
933C22⋊Q8—48no—
934C22⋊Q8—48no—
935C22⋊Q8—44no—
936C22⋊Q8—44no—
937C22⋊Q8—84no—
938#121—24no—
939#121—28no—
940#121—44no—
941#121—48no—
942#121—48no—
943#121—48no—
944#121—42no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—48no—
951#121—44no—
952#121—84no—
953#120—48no—
954#120—48no—
955#120—84no—
956C4×Q8—24no—
957C4×Q8—24no—
958C4×Q8—24no—
959C4×Q8—24no—
960C4×Q8—44no—
961C4×Q8—44no—
962C4×Q8—48no—
963C4×Q8—42no—
964C4×Q8—44no—
965C4×D4—24no—
966C4×D4—28no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—42no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—48no—
981#117—24no—
982#117—44no—
983#117—44no—
984#117—44no—
985#117—44no—
986#117—48no—
987#117—42no—
988C2×C4⋊C4—44no—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C22⋊C4—48no—
1058C2×C22⋊C4—48no—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C42—24no—
1133C2×C42—24no—
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2414yes—
1157C2×C42C2412yes—
1158C2×C42C2414yes—
1159C2×C42C2414yes—
1160C2×C42C2412yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2411yescharacteristic
1171#95C2412yes—
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2412yes—
1177#95C2411yescharacteristic
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217C24—28no—
1218C24—44no—
1219C24—44no—
1220C24—44no—
1221C24—44no—
1222C24—44no—
1223C24—44no—
1224C24C2514yes—
1225C24C2514yes—
1226C24C2512yes—
1227C24C2511yescharacteristic
1228C24C2511yescharacteristic
1229#41—816no—
1230#41—816no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—28no—
1239C2×Q8—24no—
1240C2×Q8—24no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—44no—
1245C2×Q8—42no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—42no—
1251C2×Q8—44no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—28no—
1264C2×D4—28no—
1265C2×D4—24no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—28no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—24no—
1275C2×D4—42no—
1276C2×D4—41no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
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—816no—
1310C2×D4—816no—
1311C2×D4—816no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—28no—
1331C22×C4—28no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C42−1+414yes—
1348C22×C4C2512yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2514yes—
1360C22×C4C2514yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—28no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—28no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—41no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4H(5,𝔽2)14yes—
1445C4⋊C4H(5,𝔽2)14yes—
1446C22⋊C4—24no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—22no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—28no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—22no—
1462C22⋊C4—24no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—24no—
1527C42—24no—
1528C42—24no—
1529C42—24no—
1530C42—24no—
1531C42—24no—
1532C42—22no—
1533C42—24no—
1534C42—24no—
1535C42—24no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—24no—
1540C42—24no—
1541C42—42no—
1542C42—44no—
1543C42—42no—
1544C42—44no—
1545C42—44no—
1546C42—42no—
1547C42—41no—
1548C42—42no—
1549C42H(5,𝔽2)14yes—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—22no—
1557C23—21no—
1558C23—24no—
1559C23—24no—
1560C23—24no—
1561C23—24no—
1562C23—22no—
1563C23—21no—
1564C23—22no—
1565C23—21no—
1566C23—24no—
1567C23—24no—
1568C23—21no—
1569C23—22no—
1570C23—24no—
1571C23—24no—
1572C23—21no—
1573C23—24no—
1574C23—24no—
1575C23—24no—
1576C23—22no—
1577C23—24no—
1578C23—22no—
1579C23—21no—
1580C23—24no—
1581C23—24no—
1582C23—21no—
1583C23—22no—
1584C23—88no—
1585C23—88no—
1586C23—88no—
1587C23—88no—
1588C23—88no—
1589C23—164no—
1590C23—164no—
1591C23C2×2−1+412yes—
1592C23C2611yescharacteristic
1593Q8—44no—
1594Q8—44no—
1595Q8—44no—
1596Q8—88no—
1597Q8—84no—
1598Q8—84no—
1599Q8—84no—
1600D4—44no—
1601D4—48no—
1602D4—48no—
1603D4—48no—
1604D4—44no—
1605D4—48no—
1606D4—48no—
1607D4—88no—
1608D4—88no—
1609D4—84no—
1610D4—88no—
1611D4—84no—
1612D4—84no—
1613D4—88no—
1614D4—88no—
1615D4—88no—
1616D4—164no—
1617D4—164no—
1618D4—164no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—28no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—24no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—44no—
1699C2×C4—44no—
1700C2×C4—44no—
1701C2×C4—44no—
1702C2×C4—48no—
1703C2×C4—44no—
1704C2×C4—88no—
1705C2×C4—88no—
1706C2×C4—88no—
1707C2×C4—164no—
1708C2×C4—164no—
1709C2×C4C2×H(5,𝔽2)12yes—
1710C2×C4C2×H(5,𝔽2)12yes—
1711C2×C4C2×H(5,𝔽2)12yes—
1712C2×C4C2×H(5,𝔽2)14yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4C2×H(5,𝔽2)12yes—
1717C2×C4C2×2−1+412yes—
1718C2×C4C2×2−1+412yes—
1719C2×C4#58512yes—
1720C2×C4#58512yes—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—44no—
1730C22—44no—
1731C22—42no—
1732C22—42no—
1733C22—41no—
1734C22—44no—
1735C22—44no—
1736C22—44no—
1737C22—44no—
1738C22—42no—
1739C22—41no—
1740C22—41no—
1741C22—42no—
1742C22—44no—
1743C22—44no—
1744C22—41no—
1745C22—44no—
1746C22—42no—
1747C22—44no—
1748C22—42no—
1749C22—41no—
1750C22—44no—
1751C22—44no—
1752C22—41no—
1753C22—42no—
1754C22—44no—
1755C22—44no—
1756C22—1616no—
1757C22C22×H(5,𝔽2)11yescharacteristic
1758C22C22×H(5,𝔽2)11yescharacteristic
1759C22C22×H(5,𝔽2)11yescharacteristic
1760C22C22×2−1+411yescharacteristic
1761C22C2×#58511yescharacteristic
1762C22C2×#58511yescharacteristic
1763C22H(7,𝔽2)11yescharacteristic
1764C4—22no—
1765C4—24no—
1766C4—22no—
1767C4—22no—
1768C4—22no—
1769C4—22no—
1770C4—41no—
1771C4—41no—
1772C4—42no—
1773C4—41no—
1774C4—42no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—41no—
1779C4—44no—
1780C4—42no—
1781C4—42no—
1782C4—44no—
1783C4—42no—
1784C4—42no—
1785C4—42no—
1786C4—41no—
1787C4—42no—
1788C4—42no—
1789C4—41no—
1790C4—42no—
1791C4—42no—
1792C4#354614yes—
1793C4#356114yes—
1794C2—42no—
1795C2—81no—
1796C2—82no—
1797C2—84no—
1798C2—84no—
1799C2C2×#356111yescharacteristic
1800C2C2×#354611yescharacteristic
1801C2#6283511yescharacteristic
1802C2#6291211yescharacteristic
1803C2#6291711yescharacteristic
1804C2#6296611yescharacteristic
1805C2#6301411yescharacteristic
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. #59679C2semidirect
2. #59124C2semidirect
3. #59057C2semidirect
4. #58244C2semidirect
5. #57179C2semidirect
6. #55356C2semidirect
7. #52981C2semidirect
8. #52973C2semidirect
9. #49560C2semidirect
10. #46340C2semidirect
11. #46063C2semidirect
12. #45367C2semidirect
13. #45108C2semidirect
14. #42642C2semidirect
15. #42607C2semidirect
16. #42486C2semidirect
17. #42443C2semidirect
18. #39725C2semidirect
19. #39598C2semidirect
20. #39406C2semidirect
21. #39387C2semidirect
22. #39381C2semidirect
23. #39351C2semidirect
24. #38952C2semidirect
25. #38202C2semidirect
26. #37640C2semidirect
27. #37343C2semidirect
28. #37334C2semidirect
29. #36480C2semidirect
30. #36300C2semidirect
31. #36121C2semidirect
32. #35285C2semidirect
33. #35198C2semidirect
34. #34929C2semidirect
35. #34797C2semidirect
36. C2×#554C22semidirect
40. C2×#542C22semidirect
41. C2×#542C22semidirect
42. C2×#542C22semidirect
44. C2×#533C22semidirect
47. #2863C22semidirect
48. #2860C22semidirect
49. #2860C22semidirect
53. #2858C22semidirect
57. #2837C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2826C22semidirect
61. #2820C22semidirect
62. #2813C22semidirect
63. #2813C22semidirect
64. #2803C22semidirect
65. #2800C22semidirect
66. #2780C22semidirect
67. #2757C22semidirect
68. #2757C22semidirect
69. #2756C22semidirect
70. #2756C22semidirect
71. #2749C22semidirect
72. #2748C22semidirect
74. #2733C22semidirect
75. #2732C22semidirect
76. #2730C22semidirect
77. #2730C22semidirect
78. #2730C22semidirect
79. #2727C22semidirect
80. #2723C22semidirect
81. #2718C22semidirect
82. #2715C22semidirect
83. #2714C22semidirect
84. #2711C22semidirect
85. #2710C22semidirect
86. #2710C22semidirect
87. #2708C22semidirect
88. #2705C22semidirect
89. #2705C22semidirect
90. #2704C22semidirect
91. #2702C22semidirect
93. #2695C22semidirect
94. #2692C22semidirect
95. #2687C22semidirect
96. #2686C22semidirect
102. #2682C22semidirect
104. #2676C22semidirect
105. #2676C22semidirect
106. #2674C22semidirect
108. #2672C22semidirect
109. #2672C22semidirect
110. #2672C22semidirect
111. #2672C22semidirect
113. #2662C22semidirect
114. #2649C22semidirect
116. #2632C22semidirect
120. #2624C22semidirect
121. #2624C22semidirect
122. #2624C22semidirect
123. #2620C22semidirect
124. #2620C22semidirect
125. #2620C22semidirect
126. #2620C22semidirect
127. #2619C22semidirect
128. #2616C22semidirect
129. #2605C22semidirect
130. #2584C22semidirect
131. #2580C22semidirect
132. #2567C22semidirect
133. #2567C22semidirect
134. #2566C22semidirect
136. #2556C22semidirect
137. #2554C22semidirect
138. #2554C22semidirect
139. #2551C22semidirect
140. #2551C22semidirect
148. #2548C22semidirect
149. #2547C22semidirect
150. #2546C22semidirect
151. #2545C22semidirect
154. #2542C22semidirect
155. #2542C22semidirect
158. #2540C22semidirect
159. #2540C22semidirect
162. #2538C22semidirect
163. #2538C22semidirect
164. #2538C22semidirect
165. #2538C22semidirect
167. #2531C22semidirect
168. #2529C22semidirect
169. #2521C22semidirect
171. #2513C22semidirect
172. #2513C22semidirect
173. #2512C22semidirect
174. #2512C22semidirect
175. #2512C22semidirect
176. #2512C22semidirect
177. #2512C22semidirect
178. #2509C22semidirect
179. #2507C22semidirect
180. #2506C22semidirect
181. #2501C22semidirect
184. #2495C22semidirect
187. #2492C22semidirect
188. #2491C22semidirect
189. #2491C22semidirect
190. #2491C22semidirect
191. #2490C22semidirect
192. #2490C22semidirect
195. #2479C22semidirect
196. #2474C22semidirect
199. #2466C22semidirect
201. #2461C22semidirect
202. #2461C22semidirect
203. #2454C22semidirect
204. #2454C22semidirect
205. #2454C22semidirect
206. #2454C22semidirect
208. #2452C22semidirect
209. #2452C22semidirect
210. #2448C22semidirect
211. #2448C22semidirect
212. #2447C22semidirect
216. #2445C22semidirect
217. #2445C22semidirect
218. #2445C22semidirect
220. #2440C22semidirect
228. #2432C22semidirect
229. #2432C22semidirect
233. #2429C22semidirect
234. #2429C22semidirect
238. #2428C22semidirect
239. #2427C22semidirect
240. #2427C22semidirect
241. #2426C22semidirect
242. #2426C22semidirect
243. #2426C22semidirect
244. #2422C22semidirect
246. #2416C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
256. #2396C22semidirect
259. #2376C22semidirect
260. #2369C22semidirect
261. #2367C22semidirect
262. #2367C22semidirect
264. #2366C22semidirect
265. #2365C22semidirect
266. #2361C22semidirect
267. #2357C22semidirect
268. #2355C22semidirect
269. #2354C22semidirect
270. Q8×C4⋊C4C22semidirect
276. #2324C22semidirect
277. #2324C22semidirect
278. #2311C22semidirect
281. C4×C4⋊Q8C22semidirect
282. C4×C4⋊Q8C22semidirect
283. C4×C4⋊Q8C22semidirect
285. C4×#125C22semidirect
286. C4×#126C22semidirect
288. C4×C22⋊Q8C22semidirect
290. C4×#121C22semidirect
292. #2293C22semidirect
293. #2293C22semidirect
294. #2293C22semidirect
295. #2285C22semidirect
296. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#596792
#591242
#590572
#582442
#571792
#553562
#529812
#529732
#495602
#463402
#460632
#453672
#451082
#426422
#426072
#424862
#424432
#397252
#395982
#394062
#393872
#393812
#393512
#389522
#382022
#376402
#373432
#373342
#364802
#363002
#361212
#352852
#351982
#349292
#347972