Finite Group Databasebeta

← #7652127

Subgroups — #7652127

Order 512.

5463 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42869C212yesmaximal, complemented
2#42867C212yesmaximal, complemented
3#42862C212yesmaximal, complemented
4#42852C212yesmaximal, complemented
5#42851C212yesmaximal, complemented
6#42844C212yesmaximal, complemented
7#42831C212yesmaximal, complemented
8#42829C212yesmaximal, complemented
9#42319C214yesmaximal, complemented
10#42318C214yesmaximal, complemented
11#40196C212yesmaximal, complemented
12#40190C212yesmaximal, complemented
13#40104C212yesmaximal, complemented
14#40094C212yesmaximal, complemented
15#39666C212yesmaximal, complemented
16#39654C212yesmaximal, complemented
17#39244C212yesmaximal, complemented
18#39242C212yesmaximal, complemented
19#38399C214yesmaximal, complemented
20#38398C214yesmaximal, complemented
21#35662C211yesmaximal, characteristic, complemented
22#35661C211yesmaximal, characteristic, complemented
23#35633C211yesmaximal, characteristic, complemented
24#35628C211yesmaximal, characteristic, complemented
25#35544C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35313C211yesmaximal, characteristic, complemented
28#35311C211yesmaximal, characteristic, complemented
29#35242C211yesmaximal, characteristic, complemented
30#34946C211yesmaximal, characteristic, complemented
31#34737C211yesmaximal, characteristic
32C2×#2409C211yesmaximal, characteristic, complemented
33#34276C211yesmaximal, characteristic, complemented
34#34203C211yesmaximal, characteristic, complemented
35#34173C211yesmaximal, characteristic, complemented
36C24×Q8C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×#519C2211yescharacteristic
46C2×#519C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48C22×#117C2211yescharacteristic
49#2863C2212yescomplemented
50#2863C2212yescomplemented
51#2855C2212yescomplemented
52#2855C2212yescomplemented
53#2849C2214yes—
54#2833C2214yescomplemented
55#2832C2214yescomplemented
56#2831C2214yescomplemented
57#2831C2214yescomplemented
58#2808C2214yescomplemented
59#2806C2214yescomplemented
60#2805C2214yescomplemented
61#2804C2214yescomplemented
62#2788C2214yescomplemented
63#2788C2214yescomplemented
64#2788C2214yescomplemented
65#2787C2214yescomplemented
66#2786C2214yescomplemented
67#2784C2214yescomplemented
68#2781C2214yes—
69#2780C2214yes—
70#2779C2214yescomplemented
71#2778C2214yes—
72#2775C2214yescomplemented
73#2775C2214yescomplemented
74#2774C2214yescomplemented
75#2774C2214yescomplemented
76#2770C2214yescomplemented
77#2768C2214yescomplemented
78#2759C2214yescomplemented
79#2759C2214yescomplemented
80#2756C2214yes—
81#2751C2214yescomplemented
82#2751C2214yescomplemented
83#2750C2214yes—
84#2745C2214yescomplemented
85#2745C2214yescomplemented
86#2715C2214yes—
87#2708C2214yes—
88#2695C2214yescomplemented
89#2686C2214yes—
90#2666C2214yescomplemented
91#2666C2214yescomplemented
92#2665C2214yescomplemented
93#2665C2214yescomplemented
94#2653C2214yescomplemented
95#2653C2214yescomplemented
96#2653C2214yescomplemented
97#2652C2214yescomplemented
98#2650C2214yescomplemented
99#2650C2214yescomplemented
100#2649C2214yes—
101#2648C2214yes—
102#2645C2212yescomplemented
103#2645C2212yescomplemented
104#2625C2212yescomplemented
105#2625C2212yescomplemented
106#2614C2214yes—
107#2597C2214yes—
108#2595C2214yescomplemented
109#2592C2212yescomplemented
110#2592C2212yescomplemented
111#2589C2214yescomplemented
112#2587C2214yescomplemented
113#2586C2214yescomplemented
114#2582C2212yescomplemented
115#2582C2212yescomplemented
116#2581C2212yescomplemented
117#2581C2212yescomplemented
118#2578C2214yescomplemented
119#2576C2214yes—
120#2574C2214yescomplemented
121#2574C2214yescomplemented
122#2572C2214yescomplemented
123#2568C2212yescomplemented
124#2568C2212yescomplemented
125#2563C2211yescharacteristic
126#2563C2211yescharacteristic
127#2562C2211yescharacteristic
128#2562C2211yescharacteristic
129#2562C2211yescharacteristic
130#2562C2211yescharacteristic
131#2561C2212yes—
132#2561C2212yes—
133#2559C2214yes—
134#2557C2214yes—
135#2547C2211yescharacteristic
136#2547C2211yescharacteristic
137#2538C2212yescomplemented
138#2538C2212yescomplemented
139#2536C2212yescomplemented
140#2536C2212yescomplemented
141#2534C2214yes—
142#2514C2212yescomplemented
143#2514C2212yescomplemented
144#2511C2212yescomplemented
145#2511C2212yescomplemented
146#2503C2212yes—
147#2503C2212yescomplemented
148#2502C2212yescomplemented
149#2499C2212yescomplemented
150#2499C2212yescomplemented
151#2497C2212yescomplemented
152#2497C2212yescomplemented
153#2496C2212yescomplemented
154#2496C2212yescomplemented
155#2495C2212yescomplemented
156#2495C2212yescomplemented
157#2494C2212yescomplemented
158#2494C2212yescomplemented
159#2493C2214yes—
160#2493C2214yes—
161#2493C2214yes—
162#2492C2212yescomplemented
163#2492C2212yescomplemented
164#2489C2212yescomplemented
165#2489C2212yescomplemented
166#2488C2214yes—
167#2488C2214yes—
168#2487C2212yescomplemented
169#2486C2214yes—
170#2486C2212yescomplemented
171#2485C2212yescomplemented
172#2485C2212yescomplemented
173#2484C2214yes—
174#2483C2214yes—
175#2480C2214yes—
176#2453C2212yescomplemented
177#2453C2212yescomplemented
178#2451C2212yescomplemented
179#2451C2212yescomplemented
180#2438C2214yes—
181#2438C2214yes—
182#2436C2212yescomplemented
183#2436C2212yescomplemented
184#2435C2212yes—
185#2434C2212yescomplemented
186#2434C2212yescomplemented
187#2429C2212yescomplemented
188#2429C2212yescomplemented
189#2429C2212yescomplemented
190#2429C2212yescomplemented
191#2427C2212yescomplemented
192#2427C2212yescomplemented
193#2426C2212yescomplemented
194#2426C2212yescomplemented
195#2423C2212yescomplemented
196#2422C2212yescomplemented
197#2421C2212yescomplemented
198#2420C2212yescomplemented
199#2419C2214yes—
200#2418C2214yes—
201#2417C2211yescharacteristic
202#2417C2211yescharacteristic
203#2417C2212yescomplemented
204#2417C2212yescomplemented
205#2416C2211yescharacteristic
206#2416C2211yescharacteristic
207#2415C2211yescharacteristic
208#2415C2211yescharacteristic
209#2415C2212yescomplemented
210#2415C2212yescomplemented
211#2414C2211yescharacteristic
212#2414C2211yescharacteristic
213#2413C2214yes—
214#2413C2212yes—
215#2412C2212yes—
216#2411C2214yes—
217#2411C2212yes—
218#2410C2212yes—
219#2409C2212yes—
220#2409C2212yes—
221#2409C2212yes—
222#2409C2212yes—
223#2409C2212yes—
224#2409C2212yes—
225#2409C2212yes—
226#2409C2212yes—
227#2409C2212yescomplemented
228#2409C2212yescomplemented
229#2409C2212yescomplemented
230#2409C2212yescomplemented
231#2398C2212yes—
232#2398C2212yes—
233#2392C2212yes—
234#2392C2212yes—
235C2×#395C2212yes—
236C2×#393C2212yes—
237#2362C2212yescomplemented
238#2362C2212yescomplemented
239#2362C2212yescomplemented
240#2362C2212yescomplemented
241#2360C2212yescomplemented
242#2360C2212yescomplemented
243#2360C2212yescomplemented
244#2360C2212yescomplemented
245#2359C2214yes—
246#2359C2214yes—
247#2344C2214yes—
248#2342C2214yes—
249Q8×C22⋊C4C2212yescomplemented
250Q8×C22⋊C4C2212yescomplemented
251Q8×C22⋊C4C2212yescomplemented
252Q8×C22⋊C4C2212yescomplemented
253Q8×C22⋊C4C2212yescomplemented
254Q8×C22⋊C4C2212yescomplemented
255Q8×C22⋊C4C2212yescomplemented
256Q8×C22⋊C4C2212yescomplemented
257#2337C2214yes—
258#2335C2214yescomplemented
259#2334C2214yescomplemented
260#2333C2214yes—
261#2327C2212yescomplemented
262#2326C2212yescomplemented
263#2323C2212yescomplemented
264#2323C2212yescomplemented
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2316C2211yescharacteristic
269#2316C2211yescharacteristic
270#2311C2211yescharacteristic
271#2310C2211yescharacteristic
272#2310C2211yescharacteristic
273#2310C2211yescharacteristic
274#2310C2214yes—
275#2310C2211yescharacteristic
276C4×C4⋊Q8C2212yescomplemented
277C4×#124C2212yes—
278C4×#124C2212yes—
279C4×#124C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282C4×#121C2212yes—
283C4×#121C2212yes—
284#2297C2211yescharacteristic
285#2296C2211yescharacteristic
286C2×#391C2211yescharacteristic
287C2×#391C2211yescharacteristic
288C2×#386C2212yes—
289C2×#385C2212yes—
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294#2280C2214yes—
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297#2274C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8—28no—
301C23×Q8—44no—
302C23×Q8—44no—
303C23×Q8C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×Q8C2312yes—
306C23×Q8C2312yes—
307C23×Q8C2312yes—
308C23×Q8C2312yes—
309C23×Q8C2312yes—
310C23×D4C2311yescharacteristic
311C24×C4C2311yescharacteristic
312C24×C4C2311yescharacteristic
313C24×C4C2312yes—
314#536—28no—
315#536—44no—
316#533—44no—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2311yescharacteristic
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328#525—44no—
329#525—44no—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×C22⋊Q8—28no—
336C2×C22⋊Q8—44no—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#120C2312yes—
362C2×#120C2312yes—
363#520—44no—
364#519—44no—
365#519—44no—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×D4—44no—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×#117—44no—
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2314yes—
401C2×#117C2314yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2312yes—
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2312yes—
415C22×C22⋊C4C2312yes—
416C22×C22⋊C4C2311yescharacteristic
417C22×C22⋊C4C2311yescharacteristic
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2312yes—
420C22×C22⋊C4C2312yes—
421C22×C42C2311yescharacteristic
422C22×C42C2312yes—
423#401C2314yes—
424#401C2314yes—
425#401C2314yes—
426#400C2312yes—
427#400C2312yes—
428#400C2312yes—
429#400C2312yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#399C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2312yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2312yes—
481#397C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2314yes—
491#396C2312yes—
492#396C2312yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#394C2312yes—
504#394C2312yes—
505#394C2312yes—
506#394C2312yes—
507#394C2314yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2312yes—
512#394C2314yes—
513#394C2312yes—
514#394C2312yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#393C2312yes—
520#393C2312yes—
521#393C2312yes—
522#393C2312yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2314yes—
532#393C2314yes—
533#392C2312yes—
534#392C2312yes—
535#391C2311yescharacteristic
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2314yes—
540#391C2314yes—
541#391C2314yes—
542#391C2314yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2314yes—
554#391C2314yes—
555#391C2314yes—
556#391C2314yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2311yescharacteristic
563#391C2314yes—
564#391C2314yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2314yes—
569#391C2314yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2311yescharacteristic
580#390C2314yes—
581#390C2312yes—
582#390C2311yescharacteristic
583#390C2312yes—
584#390C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2314yes—
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2314yes—
608#389C2314yes—
609#389C2312yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2312yes—
694#386C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#384C2312yes—
716#384C2312yes—
717#384C2312yes—
718#383C2314yes—
719#383C2314yes—
720#383C2314yes—
721#382C2312yes—
722#382C2312yes—
723#382C2314yes—
724#382C2314yes—
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#381C2312yes—
729#381C2312yes—
730#381C2312yes—
731#381C2312yes—
732#381C2312yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#381C2314yes—
738#381C2314yes—
739#381C2314yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2314yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#379C2312yes—
777#379C2312yes—
778#379C2312yes—
779#379C2312yes—
780#379C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
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—
818#376C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2312yes—
823C2×#95C2312yes—
824C43C2312yes—
825C25C2411yescharacteristic
826C25C2411yescharacteristic
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C22×Q8—28no—
831C22×Q8—28no—
832C22×Q8—28no—
833C22×Q8—28no—
834C22×Q8—28no—
835C22×Q8—24no—
836C22×Q8—24no—
837C22×Q8—24no—
838C22×Q8—24no—
839C22×Q8—24no—
840C22×Q8—44no—
841C22×Q8—44no—
842C22×Q8—44no—
843C22×Q8—44no—
844C22×Q8—44no—
845C22×Q8—44no—
846C22×Q8—44no—
847C22×Q8—44no—
848C22×Q8—44no—
849C22×Q8—44no—
850C22×Q8—464no—
851C22×Q8#4118yes—
852C22×Q8C2411yescharacteristic
853C22×Q8C2412yes—
854C22×Q8C2412yes—
855C22×Q8C2412yes—
856C22×Q8C2412yes—
857C22×Q8C2412yes—
858C22×Q8C2414yes—
859C22×Q8C2414yes—
860C22×Q8C2412yes—
861C22×D4—24no—
862C22×D4—42no—
863C22×D4—42no—
864C22×D4C2412yes—
865C22×D4C2411yescharacteristic
866C22×D4C2411yescharacteristic
867C22×D4C2411yescharacteristic
868C22×D4C2411yescharacteristic
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C23×C4—24no—
875C23×C4—28no—
876C23×C4—24no—
877C23×C4—24no—
878C23×C4—24no—
879C23×C4—24no—
880C23×C4—24no—
881C23×C4—44no—
882C23×C4—44no—
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2412yes—
904C23×C4C2414yes—
905C23×C4C2411yescharacteristic
906C4⋊Q8—28no—
907C4⋊Q8—42no—
908C4⋊Q8—42no—
909C4⋊Q8—44no—
910#126—48no—
911#125—42no—
912#125—42no—
913#124—28no—
914#124—28no—
915#124—44no—
916#124—44no—
917#123—216no—
918#123—48no—
919#123—44no—
920#123—44no—
921#123—48no—
922C22⋊Q8—28no—
923C22⋊Q8—28no—
924C22⋊Q8—28no—
925C22⋊Q8—28no—
926C22⋊Q8—28no—
927C22⋊Q8—28no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—42no—
935C22⋊Q8—42no—
936C22⋊Q8—42no—
937C22⋊Q8—42no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940#121—28no—
941#121—44no—
942#121—42no—
943#121—42no—
944#121—42no—
945#121—42no—
946#120—44no—
947#120—44no—
948C4×Q8—44no—
949C4×Q8—44no—
950C4×Q8—44no—
951C4×Q8—44no—
952C4×Q8—44no—
953C4×Q8—44no—
954C4×Q8—44no—
955C4×Q8—44no—
956C4×Q8—44no—
957C4×Q8—44no—
958C4×Q8—44no—
959C4×D4—44no—
960C4×D4—42no—
961C4×D4—42no—
962C4×D4—42no—
963C4×D4—42no—
964C4×D4—42no—
965C4×D4—42no—
966C4×D4—42no—
967C4×D4—42no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—48no—
973#117—24no—
974#117—24no—
975#117—24no—
976#117—24no—
977#117—24no—
978#117—24no—
979#117—24no—
980#117—44no—
981#117—44no—
982#117—48no—
983#117—48no—
984#117—42no—
985#117—42no—
986#117—44no—
987C2×C4⋊C4—28no—
988C2×C4⋊C4—24no—
989C2×C4⋊C4—24no—
990C2×C4⋊C4—42no—
991C2×C4⋊C4—42no—
992C2×C4⋊C4—44no—
993C2×C4⋊C4—42no—
994C2×C4⋊C4—44no—
995C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C22⋊C4—28no—
1057C2×C22⋊C4—44no—
1058C2×C22⋊C4—44no—
1059C2×C22⋊C4—42no—
1060C2×C22⋊C4—42no—
1061C2×C22⋊C4—44no—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C42—24no—
1125C2×C42—44no—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2414yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222C24—22no—
1223C24—22no—
1224C24—22no—
1225C24—22no—
1226C24—22no—
1227C24—22no—
1228C24—22no—
1229C24—22no—
1230C24—22no—
1231C24—41no—
1232C24—41no—
1233C24—41no—
1234C24—41no—
1235C24—41no—
1236C24C2511yescharacteristic
1237C24C2512yes—
1238C24C2511yescharacteristic
1239C24C2511yescharacteristic
1240C24C2511yescharacteristic
1241C24C2511yescharacteristic
1242#41—416no—
1243C2×Q8—232no—
1244C2×Q8—22no—
1245C2×Q8—28no—
1246C2×Q8—28no—
1247C2×Q8—24no—
1248C2×Q8—24no—
1249C2×Q8—24no—
1250C2×Q8—24no—
1251C2×Q8—24no—
1252C2×Q8—24no—
1253C2×Q8—22no—
1254C2×Q8—22no—
1255C2×Q8—24no—
1256C2×Q8—24no—
1257C2×Q8—24no—
1258C2×Q8—24no—
1259C2×Q8—24no—
1260C2×Q8—44no—
1261C2×Q8—44no—
1262C2×Q8—44no—
1263C2×Q8—44no—
1264C2×Q8—42no—
1265C2×Q8—42no—
1266C2×Q8—42no—
1267C2×Q8—42no—
1268C2×Q8—42no—
1269C2×Q8—432no—
1270C2×Q8—432no—
1271C2×Q8—432no—
1272C2×Q8—432no—
1273C2×Q8—432no—
1274C2×Q8—416no—
1275C2×Q8C2×#4118yes—
1276C2×Q8C2×#4118yes—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—416no—
1307C2×D42−1+414yes—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—28no—
1330C22×C4—28no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—24no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—41no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—432no—
1374C22×C4—416no—
1375C22×C4—416no—
1376C22×C4C2×#4118yes—
1377C22×C4C2×#4114yes—
1378C22×C4H(5,𝔽2)14yes—
1379C22×C4H(5,𝔽2)14yes—
1380C22×C4C2512yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2514yes—
1387C22×C4C2512yes—
1388C22×C4C2514yes—
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2514yes—
1401C22×C4C2512yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2514yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—28no—
1412C4⋊C4—28no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—28no—
1416C4⋊C4—28no—
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—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—28no—
1489C22⋊C4—28no—
1490C22⋊C4—24no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C42—24no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—24no—
1538C42—24no—
1539C42—24no—
1540C42—24no—
1541C42—24no—
1542C42—24no—
1543C42—24no—
1544C42—42no—
1545C42—42no—
1546C42—44no—
1547C42—42no—
1548C42—42no—
1549C42—44no—
1550C42—44no—
1551C42—44no—
1552C42—44no—
1553C42—44no—
1554C42—42no—
1555C42—44no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—28no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—22no—
1581C23—21no—
1582C23—22no—
1583C23—21no—
1584C23—22no—
1585C23—22no—
1586C23—21no—
1587C23—21no—
1588C23—22no—
1589C23—22no—
1590C23—21no—
1591C23—21no—
1592C23—22no—
1593C23—44no—
1594C23—44no—
1595C23—44no—
1596C23—44no—
1597C23—44no—
1598C23—44no—
1599C23—44no—
1600C23—44no—
1601C23—44no—
1602C23—44no—
1603C23—82no—
1604C23—82no—
1605C23—82no—
1606C23C22×#4112yes—
1607C23C2×H(5,𝔽2)12yes—
1608C23C2×H(5,𝔽2)12yes—
1609C23C2×2−1+412yes—
1610C23C2×2−1+412yes—
1611C23#58512yes—
1612C23C2611yescharacteristic
1613Q8—216no—
1614Q8—216no—
1615Q8—416no—
1616Q8—416no—
1617Q8—48no—
1618Q8—48no—
1619Q8—44no—
1620Q8—84no—
1621Q8—84no—
1622D4—44no—
1623D4—44no—
1624D4—44no—
1625D4—44no—
1626D4—48no—
1627D4—44no—
1628D4—84no—
1629D4—84no—
1630D4—84no—
1631D4—84no—
1632C2×C4—21no—
1633C2×C4—24no—
1634C2×C4—24no—
1635C2×C4—21no—
1636C2×C4—216no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—24no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
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—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—24no—
1672C2×C4—24no—
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—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—24no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—44no—
1713C2×C4—416no—
1714C2×C4—416no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—48no—
1718C2×C4—44no—
1719C2×C4—44no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—48no—
1727C2×C4—84no—
1728C2×C4—82no—
1729C2×C4—84no—
1730C2×C4—84no—
1731C2×C4—84no—
1732C2×C4—164no—
1733C2×C4#538116yes—
1734C2×C4C22×#4118yes—
1735C2×C4C22×#4112yes—
1736C2×C4C22×#4112yes—
1737C2×C4C2×H(5,𝔽2)12yes—
1738C2×C4C2×H(5,𝔽2)12yes—
1739C2×C4C2×H(5,𝔽2)12yes—
1740C2×C4C2×H(5,𝔽2)12yes—
1741C2×C4C2×2−1+412yes—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—416no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—42no—
1771C22—41no—
1772C22—42no—
1773C22—41no—
1774C22—41no—
1775C22—42no—
1776C22—41no—
1777C22—42no—
1778C22—41no—
1779C22—42no—
1780C22—42no—
1781C22—41no—
1782C22—42no—
1783C22—41no—
1784C22—88no—
1785C22C2×#53814yes—
1786C22C23×#4111yescharacteristic
1787C22C22×H(5,𝔽2)11yescharacteristic
1788C22C22×H(5,𝔽2)11yescharacteristic
1789C22C22×2−1+411yescharacteristic
1790C22C2×#58511yescharacteristic
1791C222−1+611yescharacteristic
1792C222−1+611yescharacteristic
1793C4—22no—
1794C4—28no—
1795C4—42no—
1796C4—42no—
1797C4—44no—
1798C4—41no—
1799C4—42no—
1800C4—42no—
1801C4—42no—
1802C4—41no—
1803C4—41no—
1804C4—42no—
1805C4—42no—
1806C4—42no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—44no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—44no—
1818C4—42no—
1819C4—42no—
1820C4C2×#53814yes—
1821C4C2×#53814yes—
1822C2—24no—
1823C2—42no—
1824C2—42no—
1825C2—42no—
1826C2—82no—
1827C2—81no—
1828C2C22×#53811yescharacteristic
1829C2#6281911yescharacteristic
1830C2#6288611yescharacteristic
1831C2#6294211yescharacteristic
1832C2#6295411yescharacteristic
1833C2#6299811yescharacteristic
1834C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34737C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #42869C2semidirect
2. #42867C2semidirect
3. #42862C2semidirect
4. #42852C2semidirect
5. #42851C2semidirect
6. #42844C2semidirect
7. #42831C2semidirect
8. #42829C2semidirect
9. #42319C2semidirect
10. #42318C2semidirect
11. #40196C2semidirect
12. #40190C2semidirect
13. #40104C2semidirect
14. #40094C2semidirect
15. #39666C2semidirect
16. #39654C2semidirect
17. #39244C2semidirect
18. #39242C2semidirect
19. #38399C2semidirect
20. #38398C2semidirect
21. #35662C2semidirect
22. #35661C2semidirect
23. #35633C2semidirect
24. #35628C2semidirect
25. #35544C2semidirect
26. #35516C2semidirect
27. #35313C2semidirect
28. #35311C2semidirect
29. #35242C2semidirect
30. #34946C2semidirect
32. C2×#2409C2semidirect
33. #34276C2semidirect
34. #34203C2semidirect
35. #34173C2semidirect
49. #2863C22semidirect
50. #2863C22semidirect
51. #2855C22semidirect
52. #2855C22semidirect
54. #2833C22semidirect
55. #2832C22semidirect
56. #2831C22semidirect
57. #2831C22semidirect
58. #2808C22semidirect
59. #2806C22semidirect
60. #2805C22semidirect
61. #2804C22semidirect
62. #2788C22semidirect
63. #2788C22semidirect
64. #2788C22semidirect
65. #2787C22semidirect
66. #2786C22semidirect
67. #2784C22semidirect
70. #2779C22semidirect
72. #2775C22semidirect
73. #2775C22semidirect
74. #2774C22semidirect
75. #2774C22semidirect
76. #2770C22semidirect
77. #2768C22semidirect
78. #2759C22semidirect
79. #2759C22semidirect
81. #2751C22semidirect
82. #2751C22semidirect
84. #2745C22semidirect
85. #2745C22semidirect
88. #2695C22semidirect
90. #2666C22semidirect
91. #2666C22semidirect
92. #2665C22semidirect
93. #2665C22semidirect
94. #2653C22semidirect
95. #2653C22semidirect
96. #2653C22semidirect
97. #2652C22semidirect
98. #2650C22semidirect
99. #2650C22semidirect
102. #2645C22semidirect
103. #2645C22semidirect
104. #2625C22semidirect
105. #2625C22semidirect
108. #2595C22semidirect
109. #2592C22semidirect
110. #2592C22semidirect
111. #2589C22semidirect
112. #2587C22semidirect
113. #2586C22semidirect
114. #2582C22semidirect
115. #2582C22semidirect
116. #2581C22semidirect
117. #2581C22semidirect
118. #2578C22semidirect
120. #2574C22semidirect
121. #2574C22semidirect
122. #2572C22semidirect
123. #2568C22semidirect
124. #2568C22semidirect
137. #2538C22semidirect
138. #2538C22semidirect
139. #2536C22semidirect
140. #2536C22semidirect
142. #2514C22semidirect
143. #2514C22semidirect
144. #2511C22semidirect
145. #2511C22semidirect
147. #2503C22semidirect
148. #2502C22semidirect
149. #2499C22semidirect
150. #2499C22semidirect
151. #2497C22semidirect
152. #2497C22semidirect
153. #2496C22semidirect
154. #2496C22semidirect
155. #2495C22semidirect
156. #2495C22semidirect
157. #2494C22semidirect
158. #2494C22semidirect
162. #2492C22semidirect
163. #2492C22semidirect
164. #2489C22semidirect
165. #2489C22semidirect
168. #2487C22semidirect
170. #2486C22semidirect
171. #2485C22semidirect
172. #2485C22semidirect
176. #2453C22semidirect
177. #2453C22semidirect
178. #2451C22semidirect
179. #2451C22semidirect
182. #2436C22semidirect
183. #2436C22semidirect
185. #2434C22semidirect
186. #2434C22semidirect
187. #2429C22semidirect
188. #2429C22semidirect
189. #2429C22semidirect
190. #2429C22semidirect
191. #2427C22semidirect
192. #2427C22semidirect
193. #2426C22semidirect
194. #2426C22semidirect
195. #2423C22semidirect
196. #2422C22semidirect
197. #2421C22semidirect
198. #2420C22semidirect
203. #2417C22semidirect
204. #2417C22semidirect
209. #2415C22semidirect
210. #2415C22semidirect
227. #2409C22semidirect
228. #2409C22semidirect
229. #2409C22semidirect
230. #2409C22semidirect
237. #2362C22semidirect
238. #2362C22semidirect
239. #2362C22semidirect
240. #2362C22semidirect
241. #2360C22semidirect
242. #2360C22semidirect
243. #2360C22semidirect
244. #2360C22semidirect
249. Q8×C22⋊C4C22semidirect
250. Q8×C22⋊C4C22semidirect
251. Q8×C22⋊C4C22semidirect
252. Q8×C22⋊C4C22semidirect
253. Q8×C22⋊C4C22semidirect
254. Q8×C22⋊C4C22semidirect
255. Q8×C22⋊C4C22semidirect
256. Q8×C22⋊C4C22semidirect
258. #2335C22semidirect
259. #2334C22semidirect
261. #2327C22semidirect
262. #2326C22semidirect
263. #2323C22semidirect
264. #2323C22semidirect
276. C4×C4⋊Q8C22semidirect
279. C4×#124C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#428692
#428672
#428622
#428522
#428512
#428442
#428312
#428292
#423192
#423182
#401962
#401902
#401042
#400942
#396662
#396542
#392442
#392422
#383992
#383982
#356622
#356612
#356332
#356282
#355442
#355162
#353132
#353112
#352422
#349462
#347372
C2×#24092
#342762
#342032
#341732