Finite Group Databasebeta

← #8458946

Subgroups — #8458946

Order 512.

5312 conjugacy classes of subgroups.

The subgroup lattice has 1810 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59821C211yesmaximal, characteristic, complemented
2#59143C211yesmaximal, characteristic, complemented
3#59078C211yesmaximal, characteristic, complemented
4#58258C214yesmaximal, complemented
5#57119C214yesmaximal, complemented
6#55600C214yesmaximal, complemented
7#53018C212yesmaximal, complemented
8#52973C212yesmaximal, complemented
9#48684C214yesmaximal, complemented
10#46044C212yesmaximal, complemented
11#45522C212yesmaximal, complemented
12#45079C212yesmaximal, complemented
13#44955C212yesmaximal, complemented
14#42799C212yesmaximal, complemented
15#42642C212yesmaximal, complemented
16#42490C212yesmaximal, complemented
17#42443C212yesmaximal, complemented
18#40125C212yesmaximal, complemented
19#39817C212yesmaximal, complemented
20#39609C211yesmaximal, characteristic, complemented
21#39419C212yesmaximal, complemented
22#39387C211yesmaximal, characteristic, complemented
23#39351C211yesmaximal, characteristic, complemented
24#39243C212yesmaximal, complemented
25#39137C211yesmaximal, characteristic, complemented
26#37616C211yesmaximal, characteristic, complemented
27#37365C212yesmaximal, complemented
28#37299C212yesmaximal, complemented
29#36538C211yesmaximal, characteristic, complemented
30#36445C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32#35272C211yesmaximal, characteristic, complemented
33#35198C211yesmaximal, characteristic, complemented
34#34941C211yesmaximal, characteristic, complemented
35#34724C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic, complemented
38C2×#556C2212yescomplemented
39C2×#546C2212yes—
40C2×#542C2212yescomplemented
41C2×#542C2212yescomplemented
42C2×#542C2212yescomplemented
43C2×#535C2212yes—
44C2×#532C2211yescharacteristic
45C22×#127C2211yescharacteristic
46C2×#529C2211yescharacteristic, complemented
47C2×C4×#41C2211yescharacteristic
48#2861C2212yescomplemented
49#2860C2212yescomplemented
50#2858C2211yescharacteristic
51#2858C2212yescomplemented
52#2857C2211yescharacteristic
53#2857C2212yescomplemented
54#2856C2211yescharacteristic
55#2856C2212yes—
56#2856C2212yes—
57#2842C2214yes—
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2826C2214yescomplemented
61#2823C2214yescomplemented
62#2813C2214yescomplemented
63#2813C2214yescomplemented
64#2813C2214yescomplemented
65#2803C2214yescomplemented
66#2803C2214yescomplemented
67#2800C2214yescomplemented
68#2796C2214yescomplemented
69#2795C2214yescomplemented
70#2784C2214yescomplemented
71#2780C2214yescomplemented
72#2780C2214yescomplemented
73#2774C2214yescomplemented
74#2742C2214yes—
75#2735C2214yes—
76#2735C2214yes—
77#2730C2214yescomplemented
78#2730C2214yescomplemented
79#2727C2214yescomplemented
80#2727C2214yescomplemented
81#2727C2214yescomplemented
82#2723C2214yescomplemented
83#2718C2214yescomplemented
84#2711C2214yescomplemented
85#2711C2214yescomplemented
86#2710C2214yescomplemented
87#2709C2214yes—
88#2708C2214yescomplemented
89#2706C2214yescomplemented
90#2705C2214yescomplemented
91#2705C2214yescomplemented
92#2705C2214yescomplemented
93#2703C2214yescomplemented
94#2702C2214yescomplemented
95#2691C2214yescomplemented
96#2686C2214yescomplemented
97#2685C2214yes—
98#2685C2214yes—
99#2685C2214yes—
100#2685C2214yes—
101#2685C2214yes—
102#2683C2214yescomplemented
103#2683C2214yescomplemented
104#2682C2214yescomplemented
105#2682C2214yescomplemented
106#2681C2214yescomplemented
107#2676C2214yescomplemented
108#2672C2214yescomplemented
109#2672C2214yescomplemented
110#2672C2214yescomplemented
111#2672C2214yescomplemented
112#2672C2214yescomplemented
113#2670C2214yes—
114#2662C2214yescomplemented
115#2662C2214yescomplemented
116#2649C2214yescomplemented
117#2636C2214yescomplemented
118#2628C2212yes—
119#2626C2214yes—
120#2626C2214yes—
121#2624C2212yescomplemented
122#2620C2212yescomplemented
123#2620C2212yescomplemented
124#2620C2214yescomplemented
125#2620C2212yescomplemented
126#2620C2212yescomplemented
127#2620C2212yescomplemented
128#2619C2214yes—
129#2619C2212yescomplemented
130#2601C2214yescomplemented
131#2574C2212yes—
132#2574C2212yescomplemented
133#2568C2211yescharacteristic, complemented
134#2567C2211yescharacteristic, complemented
135#2567C2212yescomplemented
136#2566C2212yescomplemented
137#2566C2212yescomplemented
138#2563C2211yescharacteristic
139#2559C2214yescomplemented
140#2559C2214yescomplemented
141#2558C2214yescomplemented
142#2558C2214yescomplemented
143#2558C2214yescomplemented
144#2555C2214yescomplemented
145#2553C2214yescomplemented
146#2552C2211yescharacteristic, complemented
147#2551C2211yescharacteristic, complemented
148#2548C2211yescharacteristic
149#2548C2211yescharacteristic
150#2548C2212yes—
151#2548C2211yescharacteristic
152#2548C2211yescharacteristic
153#2548C2212yescomplemented
154#2548C2212yescomplemented
155#2545C2212yescomplemented
156#2545C2212yescomplemented
157#2545C2212yescomplemented
158#2545C2212yescomplemented
159#2544C2212yes—
160#2544C2212yes—
161#2544C2212yes—
162#2544C2212yescomplemented
163#2542C2212yes—
164#2542C2212yescomplemented
165#2542C2211yescharacteristic, complemented
166#2542C2212yescomplemented
167#2541C2211yescharacteristic
168#2541C2211yescharacteristic
169#2541C2212yes—
170#2540C2212yescomplemented
171#2539C2214yes—
172#2538C2212yes—
173#2538C2211yescharacteristic
174#2538C2212yescomplemented
175#2538C2211yescharacteristic, complemented
176#2538C2212yescomplemented
177#2537C2212yescomplemented
178#2512C2212yescomplemented
179#2512C2212yescomplemented
180#2512C2212yescomplemented
181#2512C2212yescomplemented
182#2511C2212yescomplemented
183#2509C2212yescomplemented
184#2508C2212yescomplemented
185#2497C2211yescharacteristic
186#2497C2211yescharacteristic, complemented
187#2492C2212yes—
188#2491C2212yescomplemented
189#2491C2212yescomplemented
190#2490C2212yescomplemented
191#2478C2212yescomplemented
192#2476C2214yescomplemented
193#2472C2214yes—
194#2472C2214yes—
195#2470C2212yescomplemented
196#2466C2212yes—
197#2461C2214yescomplemented
198#2460C2214yescomplemented
199#2455C2212yes—
200#2454C2214yes—
201#2454C2212yes—
202#2454C2212yescomplemented
203#2454C2212yescomplemented
204#2454C2212yescomplemented
205#2453C2211yescharacteristic, complemented
206#2452C2212yescomplemented
207#2452C2212yescomplemented
208#2451C2212yescomplemented
209#2448C2212yescomplemented
210#2448C2212yescomplemented
211#2448C2212yescomplemented
212#2448C2212yescomplemented
213#2447C2211yescharacteristic, complemented
214#2445C2212yes—
215#2445C2212yes—
216#2445C2212yes—
217#2445C2212yes—
218#2445C2212yescomplemented
219#2445C2212yescomplemented
220#2441C2212yes—
221#2441C2211yescharacteristic
222#2441C2214yescomplemented
223#2437C2214yes—
224#2435C2212yes—
225#2435C2212yes—
226#2435C2212yes—
227#2432C2211yescharacteristic
228#2432C2212yescomplemented
229#2431C2212yes—
230#2429C2211yescharacteristic, complemented
231#2428C2212yes—
232#2428C2212yes—
233#2428C2212yescomplemented
234#2427C2212yescomplemented
235#2426C2212yescomplemented
236#2426C2212yescomplemented
237#2426C2212yescomplemented
238#2426C2212yescomplemented
239#2423C2212yes—
240#2423C2211yescharacteristic
241#2423C2211yescharacteristic, complemented
242#2422C2212yescomplemented
243#2422C2211yescharacteristic, complemented
244#2415C2211yescharacteristic
245#2415C2214yescomplemented
246#2411C2214yes—
247#2408C2212yes—
248#2408C2212yes—
249#2408C2212yes—
250#2408C2214yes—
251#2408C2212yes—
252#2407C2211yescharacteristic
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2405C2214yes—
256#2396C2212yes—
257#2396C2212yescomplemented
258#2395C2212yes—
259#2392C2212yes—
260#2377C2214yescomplemented
261#2367C2212yescomplemented
262#2367C2212yescomplemented
263#2367C2212yescomplemented
264#2366C2211yescharacteristic
265#2365C2211yescharacteristic, complemented
266#2354C2212yescomplemented
267Q8×C4⋊C4C2212yescomplemented
268Q8×C4⋊C4C2211yescharacteristic, complemented
269Q8×C4⋊C4C2211yescharacteristic, complemented
270#2341C2212yes—
271#2341C2212yescomplemented
272D4×C22⋊C4C2212yes—
273D4×C22⋊C4C2212yes—
274D4×C22⋊C4C2212yes—
275D4×C22⋊C4C2212yes—
276#2335C2214yescomplemented
277#2324C2212yescomplemented
278#2324C2212yescomplemented
279#2323C2212yes—
280#2309C2212yes—
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic
284C4×#125C2212yescomplemented
285C4×#124C2212yescomplemented
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2212yescomplemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×C22⋊Q8C2211yescharacteristic, complemented
291C4×#123C2212yescomplemented
292#2296C2212yescomplemented
293#2293C2212yes—
294#2293C2211yescharacteristic, complemented
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic, complemented
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#559—44no—
305#557—44no—
306#556—48no—
307#546—48no—
308#542—48no—
309#542—48no—
310#542—48no—
311#535—48no—
312#532—44no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×#127—44no—
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327#529—44no—
328C2×#126C2314yes—
329C2×#126C2314yes—
330C2×#126C2314yes—
331C2×#126C2312yes—
332C2×#126C2314yes—
333C2×#126C2314yes—
334C2×#125C2312yes—
335C2×#125C2311yescharacteristic
336C2×#125C2312yes—
337C2×#125C2314yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2314yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2311yescharacteristic
349C2×#124C2314yes—
350C2×#124C2312yes—
351C2×#124C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2312yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2312yes—
359C2×#123C2314yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2311yescharacteristic
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2311yescharacteristic
371C2×C22⋊Q8C2311yescharacteristic
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2311yescharacteristic
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C4×#41—44no—
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2311yescharacteristic
406C2×C4×Q8C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×#117C2312yes—
425C2×#117C2311yescharacteristic
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2314yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C22×C22⋊C4C2314yes—
432C22×C22⋊C4C2314yes—
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2312yes—
436#400C2314yes—
437#400C2312yes—
438#400C2314yes—
439#400C2314yes—
440#400C2312yes—
441#400C2312yes—
442#400C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2312yes—
446#399C2312yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2312yes—
454#399C2314yes—
455#399C2314yes—
456#398C2312yes—
457#398C2312yes—
458#398C2314yes—
459#398C2312yes—
460#398C2312yes—
461#398C2312yes—
462#398C2312yes—
463#397C2312yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2312yes—
489#396C2312yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2312yes—
494#396C2314yes—
495#396C2314yes—
496#396C2312yes—
497#396C2312yes—
498#396C2314yes—
499#396C2312yes—
500#396C2314yes—
501#395C2312yes—
502#395C2312yes—
503#395C2314yes—
504#395C2314yes—
505#395C2314yes—
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#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#393C2312yes—
548#393C2312yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2312yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#391C2312yes—
563#391C2311yescharacteristic
564#391C2311yescharacteristic
565#391C2312yes—
566#391C2312yes—
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2314yes—
573#391C2311yescharacteristic
574#391C2311yescharacteristic
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2314yes—
582#390C2314yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#390C2312yes—
590#390C2312yes—
591#390C2314yes—
592#390C2314yes—
593#390C2314yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2314yes—
602#390C2314yes—
603#390C2312yes—
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2311yescharacteristic
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2314yes—
617#390C2312yes—
618#390C2314yes—
619#390C2312yes—
620#390C2311yescharacteristic
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#389C2314yes—
629#389C2314yes—
630#389C2312yes—
631#389C2312yes—
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2314yes—
639#389C2311yescharacteristic
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2314yes—
644#389C2314yes—
645#389C2314yes—
646#389C2312yes—
647#389C2312yes—
648#389C2311yescharacteristic
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2312yes—
654#389C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
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#388C2314yes—
680#388C2314yes—
681#388C2312yes—
682#388C2312yes—
683#388C2314yes—
684#388C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2314yes—
693#387C2312yes—
694#387C2312yes—
695#387C2314yes—
696#387C2312yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2312yes—
701#387C2312yes—
702#387C2312yes—
703#386C2314yes—
704#386C2314yes—
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#386C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#385C2312yes—
735#385C2312yes—
736#385C2314yes—
737#385C2312yes—
738#384C2311yescharacteristic
739#384C2311yescharacteristic
740#384C2311yescharacteristic
741#384C2312yes—
742#384C2311yescharacteristic
743#384C2312yes—
744#384C2311yescharacteristic
745#384C2314yes—
746#384C2311yescharacteristic
747#384C2312yes—
748#384C2311yescharacteristic
749#382C2312yes—
750#382C2312yes—
751#382C2312yes—
752#382C2312yes—
753#381C2312yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2311yescharacteristic
770#380C2314yes—
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#379C2314yes—
774#379C2314yes—
775#379C2314yes—
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C43C2312yes—
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2414yes—
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×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2414yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C4⋊Q8—24no—
877C4⋊Q8—24no—
878C4⋊Q8—24no—
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882#127—24no—
883#127—24no—
884#127—44no—
885#127—44no—
886#127—44no—
887#127—44no—
888#127—44no—
889#126—44no—
890#126—48no—
891#126—48no—
892#126—48no—
893#126—48no—
894#126—48no—
895#125—42no—
896#125—44no—
897#125—44no—
898#125—48no—
899#124—28no—
900#124—28no—
901#124—28no—
902#124—48no—
903#124—48no—
904#124—44no—
905#124—42no—
906#124—44no—
907#124—44no—
908#124—44no—
909#124—44no—
910#124—44no—
911#124—48no—
912#124—84no—
913#123—48no—
914#123—48no—
915#123—48no—
916#123—44no—
917#123—44no—
918#123—48no—
919#123—48no—
920#123—48no—
921C22⋊Q8—24no—
922C22⋊Q8—24no—
923C22⋊Q8—48no—
924C22⋊Q8—48no—
925C22⋊Q8—48no—
926C22⋊Q8—48no—
927C22⋊Q8—42no—
928C22⋊Q8—44no—
929C22⋊Q8—42no—
930C22⋊Q8—42no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—84no—
935C22⋊Q8—84no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—44no—
940#121—44no—
941#121—48no—
942#121—42no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—84no—
950#121—82no—
951#121—84no—
952#120—48no—
953#120—48no—
954#120—48no—
955C4×Q8—28no—
956C4×Q8—24no—
957C4×Q8—24no—
958C4×Q8—24no—
959C4×Q8—24no—
960C4×Q8—44no—
961C4×Q8—42no—
962C4×Q8—42no—
963C4×Q8—44no—
964C4×Q8—44no—
965C4×Q8—44no—
966C4×Q8—44no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—28no—
970C4×D4—24no—
971C4×D4—42no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—42no—
982C4×D4—44no—
983C4×D4—82no—
984#117—28no—
985#117—44no—
986#117—44no—
987#117—44no—
988#117—44no—
989#117—48no—
990#117—42no—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C22⋊C4—48no—
1062C2×C22⋊C4—84no—
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C42—24no—
1136C2×C42—24no—
1137C2×C42—44no—
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2414yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2412yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2414yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2412yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2414yes—
1162C2×C42C2414yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2411yescharacteristic
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2412yes—
1176#95C2412yes—
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220C24—28no—
1221C24—44no—
1222C24—44no—
1223C24—44no—
1224C24—44no—
1225C24—44no—
1226C24—44no—
1227C24C2514yes—
1228C24C2514yes—
1229C24C2512yes—
1230C24C2511yescharacteristic
1231C24C2511yescharacteristic
1232#41—416no—
1233#41—816no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—24no—
1240C2×Q8—24no—
1241C2×Q8—24no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—24no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8—44no—
1249C2×Q8—44no—
1250C2×Q8—44no—
1251C2×Q8H(5,𝔽2)14yes—
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—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—28no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—28no—
1275C2×D4—42no—
1276C2×D4—41no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—42no—
1292C2×D4—44no—
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—24no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—24no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—28no—
1332C22×C4—24no—
1333C22×C4—42no—
1334C22×C4—41no—
1335C22×C4—42no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—41no—
1340C22×C4—44no—
1341C22×C4—41no—
1342C22×C4—42no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C42−1+414yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2514yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2514yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—28no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4—42no—
1434C4⋊C4—44no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—44no—
1451C22⋊C4—22no—
1452C22⋊C4—24no—
1453C22⋊C4—22no—
1454C22⋊C4—28no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—28no—
1459C22⋊C4—28no—
1460C22⋊C4—22no—
1461C22⋊C4—28no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—41no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—24no—
1530C42—24no—
1531C42—24no—
1532C42—24no—
1533C42—24no—
1534C42—28no—
1535C42—24no—
1536C42—22no—
1537C42—24no—
1538C42—24no—
1539C42—22no—
1540C42—22no—
1541C42—42no—
1542C42—42no—
1543C42—44no—
1544C42—41no—
1545C42—41no—
1546C42—42no—
1547C42—44no—
1548C42—44no—
1549C42—42no—
1550C42—42no—
1551C42H(5,𝔽2)14yes—
1552C42H(5,𝔽2)14yes—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—22no—
1561C23—24no—
1562C23—24no—
1563C23—24no—
1564C23—22no—
1565C23—24no—
1566C23—21no—
1567C23—24no—
1568C23—21no—
1569C23—24no—
1570C23—22no—
1571C23—21no—
1572C23—22no—
1573C23—24no—
1574C23—24no—
1575C23—21no—
1576C23—24no—
1577C23—24no—
1578C23—21no—
1579C23—22no—
1580C23—24no—
1581C23—22no—
1582C23—24no—
1583C23—24no—
1584C23—22no—
1585C23—24no—
1586C23—21no—
1587C23—88no—
1588C23—88no—
1589C23—88no—
1590C23—88no—
1591C23—88no—
1592C23—164no—
1593C23—164no—
1594C23C2×2−1+412yes—
1595C23C2611yescharacteristic
1596Q8—28no—
1597Q8—44no—
1598Q8—44no—
1599Q8—48no—
1600Q8—84no—
1601Q8—164no—
1602D4—44no—
1603D4—48no—
1604D4—48no—
1605D4—48no—
1606D4—48no—
1607D4—44no—
1608D4—48no—
1609D4—48no—
1610D4—88no—
1611D4—88no—
1612D4—84no—
1613D4—84no—
1614D4—88no—
1615D4—88no—
1616D4—164no—
1617D4—164no—
1618D4—164no—
1619D4—164no—
1620D4—164no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—28no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—24no—
1660C2×C4—21no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—44no—
1701C2×C4—48no—
1702C2×C4—44no—
1703C2×C4—48no—
1704C2×C4—44no—
1705C2×C4—44no—
1706C2×C4—88no—
1707C2×C4—84no—
1708C2×C4—82no—
1709C2×C4—88no—
1710C2×C4—164no—
1711C2×C4—164no—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×H(5,𝔽2)14yes—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4C2×H(5,𝔽2)12yes—
1717C2×C4C2×H(5,𝔽2)12yes—
1718C2×C4C2×H(5,𝔽2)12yes—
1719C2×C4C2×H(5,𝔽2)12yes—
1720C2×C4C2×2−1+412yes—
1721C2×C4C2×2−1+412yes—
1722C2×C4#58512yes—
1723C2×C4#58512yes—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—42no—
1732C22—41no—
1733C22—44no—
1734C22—44no—
1735C22—41no—
1736C22—42no—
1737C22—44no—
1738C22—44no—
1739C22—42no—
1740C22—44no—
1741C22—44no—
1742C22—41no—
1743C22—41no—
1744C22—42no—
1745C22—44no—
1746C22—44no—
1747C22—44no—
1748C22—44no—
1749C22—41no—
1750C22—42no—
1751C22—41no—
1752C22—42no—
1753C22—44no—
1754C22—44no—
1755C22—41no—
1756C22—42no—
1757C22—44no—
1758C22—44no—
1759C22—1616no—
1760C22C22×H(5,𝔽2)11yescharacteristic
1761C22C22×H(5,𝔽2)11yescharacteristic
1762C22C22×H(5,𝔽2)11yescharacteristic
1763C22C22×2−1+411yescharacteristic
1764C22C2×#58511yescharacteristic
1765C22C2×#58511yescharacteristic
1766C22H(7,𝔽2)11yescharacteristic
1767C4—22no—
1768C4—24no—
1769C4—22no—
1770C4—22no—
1771C4—22no—
1772C4—22no—
1773C4—41no—
1774C4—42no—
1775C4—42no—
1776C4—41no—
1777C4—41no—
1778C4—44no—
1779C4—42no—
1780C4—42no—
1781C4—41no—
1782C4—42no—
1783C4—42no—
1784C4—42no—
1785C4—44no—
1786C4—42no—
1787C4—42no—
1788C4—42no—
1789C4—42no—
1790C4—41no—
1791C4—42no—
1792C4—42no—
1793C4—42no—
1794C4—41no—
1795C4#353614yes—
1796C4#354614yes—
1797C2—42no—
1798C2—82no—
1799C2—81no—
1800C2—84no—
1801C2—84no—
1802C2C2×#353611yescharacteristic
1803C2C2×#354611yescharacteristic
1804C2#6283511yescharacteristic
1805C2#6291611yescharacteristic
1806C2#6292411yescharacteristic
1807C2#6296211yescharacteristic
1808C2#6303511yescharacteristic
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. #59821C2semidirect
2. #59143C2semidirect
3. #59078C2semidirect
4. #58258C2semidirect
5. #57119C2semidirect
6. #55600C2semidirect
7. #53018C2semidirect
8. #52973C2semidirect
9. #48684C2semidirect
10. #46044C2semidirect
11. #45522C2semidirect
12. #45079C2semidirect
13. #44955C2semidirect
14. #42799C2semidirect
15. #42642C2semidirect
16. #42490C2semidirect
17. #42443C2semidirect
18. #40125C2semidirect
19. #39817C2semidirect
20. #39609C2semidirect
21. #39419C2semidirect
22. #39387C2semidirect
23. #39351C2semidirect
24. #39243C2semidirect
25. #39137C2semidirect
26. #37616C2semidirect
27. #37365C2semidirect
28. #37299C2semidirect
29. #36538C2semidirect
30. #36445C2semidirect
31. #36121C2semidirect
32. #35272C2semidirect
33. #35198C2semidirect
34. #34941C2semidirect
35. #34724C2semidirect
37. C2×#557C22semidirect
38. C2×#556C22semidirect
40. C2×#542C22semidirect
41. C2×#542C22semidirect
42. C2×#542C22semidirect
46. C2×#529C22semidirect
48. #2861C22semidirect
49. #2860C22semidirect
51. #2858C22semidirect
53. #2857C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2826C22semidirect
61. #2823C22semidirect
62. #2813C22semidirect
63. #2813C22semidirect
64. #2813C22semidirect
65. #2803C22semidirect
66. #2803C22semidirect
67. #2800C22semidirect
68. #2796C22semidirect
69. #2795C22semidirect
70. #2784C22semidirect
71. #2780C22semidirect
72. #2780C22semidirect
73. #2774C22semidirect
77. #2730C22semidirect
78. #2730C22semidirect
79. #2727C22semidirect
80. #2727C22semidirect
81. #2727C22semidirect
82. #2723C22semidirect
83. #2718C22semidirect
84. #2711C22semidirect
85. #2711C22semidirect
86. #2710C22semidirect
88. #2708C22semidirect
89. #2706C22semidirect
90. #2705C22semidirect
91. #2705C22semidirect
92. #2705C22semidirect
93. #2703C22semidirect
94. #2702C22semidirect
95. #2691C22semidirect
96. #2686C22semidirect
102. #2683C22semidirect
103. #2683C22semidirect
104. #2682C22semidirect
105. #2682C22semidirect
106. #2681C22semidirect
107. #2676C22semidirect
108. #2672C22semidirect
109. #2672C22semidirect
110. #2672C22semidirect
111. #2672C22semidirect
112. #2672C22semidirect
114. #2662C22semidirect
115. #2662C22semidirect
116. #2649C22semidirect
117. #2636C22semidirect
121. #2624C22semidirect
122. #2620C22semidirect
123. #2620C22semidirect
124. #2620C22semidirect
125. #2620C22semidirect
126. #2620C22semidirect
127. #2620C22semidirect
129. #2619C22semidirect
130. #2601C22semidirect
132. #2574C22semidirect
133. #2568C22semidirect
134. #2567C22semidirect
135. #2567C22semidirect
136. #2566C22semidirect
137. #2566C22semidirect
139. #2559C22semidirect
140. #2559C22semidirect
141. #2558C22semidirect
142. #2558C22semidirect
143. #2558C22semidirect
144. #2555C22semidirect
145. #2553C22semidirect
146. #2552C22semidirect
147. #2551C22semidirect
153. #2548C22semidirect
154. #2548C22semidirect
155. #2545C22semidirect
156. #2545C22semidirect
157. #2545C22semidirect
158. #2545C22semidirect
162. #2544C22semidirect
164. #2542C22semidirect
165. #2542C22semidirect
166. #2542C22semidirect
170. #2540C22semidirect
174. #2538C22semidirect
175. #2538C22semidirect
176. #2538C22semidirect
177. #2537C22semidirect
178. #2512C22semidirect
179. #2512C22semidirect
180. #2512C22semidirect
181. #2512C22semidirect
182. #2511C22semidirect
183. #2509C22semidirect
184. #2508C22semidirect
186. #2497C22semidirect
188. #2491C22semidirect
189. #2491C22semidirect
190. #2490C22semidirect
191. #2478C22semidirect
192. #2476C22semidirect
195. #2470C22semidirect
197. #2461C22semidirect
198. #2460C22semidirect
202. #2454C22semidirect
203. #2454C22semidirect
204. #2454C22semidirect
205. #2453C22semidirect
206. #2452C22semidirect
207. #2452C22semidirect
208. #2451C22semidirect
209. #2448C22semidirect
210. #2448C22semidirect
211. #2448C22semidirect
212. #2448C22semidirect
213. #2447C22semidirect
218. #2445C22semidirect
219. #2445C22semidirect
222. #2441C22semidirect
228. #2432C22semidirect
230. #2429C22semidirect
233. #2428C22semidirect
234. #2427C22semidirect
235. #2426C22semidirect
236. #2426C22semidirect
237. #2426C22semidirect
238. #2426C22semidirect
241. #2423C22semidirect
242. #2422C22semidirect
243. #2422C22semidirect
245. #2415C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
257. #2396C22semidirect
260. #2377C22semidirect
261. #2367C22semidirect
262. #2367C22semidirect
263. #2367C22semidirect
265. #2365C22semidirect
266. #2354C22semidirect
267. Q8×C4⋊C4C22semidirect
268. Q8×C4⋊C4C22semidirect
269. Q8×C4⋊C4C22semidirect
271. #2341C22semidirect
276. #2335C22semidirect
277. #2324C22semidirect
278. #2324C22semidirect
281. C4×C4⋊Q8C22semidirect
282. C4×C4⋊Q8C22semidirect
284. C4×#125C22semidirect
285. C4×#124C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×C22⋊Q8C22semidirect
291. C4×#123C22semidirect
292. #2296C22semidirect
294. #2293C22semidirect
296. #2285C22semidirect
297. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#598212
#591432
#590782
#582582
#571192
#556002
#530182
#529732
#486842
#460442
#455222
#450792
#449552
#427992
#426422
#424902
#424432
#401252
#398172
#396092
#394192
#393872
#393512
#392432
#391372
#376162
#373652
#372992
#365382
#364452
#361212
#352722
#351982
#349412
#347242