Finite Group Databasebeta

← #8095601

Subgroups — #8095601

Order 512.

5097 conjugacy classes of subgroups.

The subgroup lattice has 1876 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53134C212yesmaximal, complemented
2#53094C212yesmaximal, complemented
3#53071C212yesmaximal, complemented
4#53068C212yesmaximal, complemented
5#53062C212yesmaximal, complemented
6#53061C212yesmaximal, complemented
7#53057C212yesmaximal, complemented
8#53056C212yesmaximal, complemented
9#52346C214yesmaximal, complemented
10#52316C214yesmaximal, complemented
11#45733C214yesmaximal, complemented
12#45720C212yesmaximal, complemented
13#45710C212yesmaximal, complemented
14#45676C212yesmaximal, complemented
15#45670C212yesmaximal, complemented
16#45649C212yesmaximal, complemented
17#45641C212yesmaximal, complemented
18#45589C214yesmaximal, complemented
19#45524C212yesmaximal, complemented
20#45514C212yesmaximal, complemented
21#35584C211yesmaximal, characteristic, complemented
22#35543C211yesmaximal, characteristic, complemented
23#35542C211yesmaximal, characteristic, complemented
24#35540C211yesmaximal, characteristic, complemented
25#35529C211yesmaximal, characteristic, complemented
26#35514C211yesmaximal, characteristic, complemented
27#35257C211yesmaximal, characteristic, complemented
28#35254C211yesmaximal, characteristic, complemented
29#35253C211yesmaximal, characteristic, complemented
30#35252C211yesmaximal, characteristic, complemented
31#35157C211yesmaximal, characteristic, complemented
32#35151C211yesmaximal, characteristic, complemented
33#34935C211yesmaximal, characteristic, complemented
34#34809C211yesmaximal, characteristic, complemented
35C2×#2414C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C2×#518C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×#117C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2857C2212yescomplemented
49#2857C2212yescomplemented
50#2856C2212yescomplemented
51#2855C2214yes—
52#2854C2212yescomplemented
53#2854C2212yescomplemented
54#2853C2214yes—
55#2851C2212yescomplemented
56#2851C2212yescomplemented
57#2850C2212yescomplemented
58#2837C2214yescomplemented
59#2837C2214yescomplemented
60#2836C2214yescomplemented
61#2832C2214yescomplemented
62#2830C2214yescomplemented
63#2829C2214yescomplemented
64#2829C2214yescomplemented
65#2829C2214yescomplemented
66#2829C2214yescomplemented
67#2829C2214yescomplemented
68#2827C2214yescomplemented
69#2826C2214yescomplemented
70#2824C2214yescomplemented
71#2824C2214yescomplemented
72#2820C2214yescomplemented
73#2819C2214yescomplemented
74#2816C2214yescomplemented
75#2813C2214yescomplemented
76#2813C2214yescomplemented
77#2813C2214yescomplemented
78#2808C2214yescomplemented
79#2800C2214yescomplemented
80#2800C2214yescomplemented
81#2798C2214yescomplemented
82#2788C2214yescomplemented
83#2786C2214yescomplemented
84#2786C2214yescomplemented
85#2781C2214yescomplemented
86#2779C2214yescomplemented
87#2772C2214yescomplemented
88#2761C2214yescomplemented
89#2754C2214yescomplemented
90#2751C2214yescomplemented
91#2751C2214yescomplemented
92#2747C2214yescomplemented
93#2744C2214yescomplemented
94#2741C2214yescomplemented
95#2740C2214yescomplemented
96#2730C2214yescomplemented
97#2730C2214yescomplemented
98#2730C2214yescomplemented
99#2711C2214yescomplemented
100#2711C2214yescomplemented
101#2710C2214yescomplemented
102#2710C2214yescomplemented
103#2706C2214yescomplemented
104#2701C2214yescomplemented
105#2701C2214yescomplemented
106#2700C2214yescomplemented
107#2696C2214yescomplemented
108#2696C2214yescomplemented
109#2694C2214yescomplemented
110#2692C2214yescomplemented
111#2687C2214yescomplemented
112#2682C2214yescomplemented
113#2681C2214yescomplemented
114#2676C2214yescomplemented
115#2676C2214yescomplemented
116#2672C2214yescomplemented
117#2671C2214yescomplemented
118#2629C2212yescomplemented
119#2629C2212yescomplemented
120#2628C2212yescomplemented
121#2628C2212yescomplemented
122#2626C2214yes—
123#2624C2212yescomplemented
124#2624C2212yescomplemented
125#2622C2214yes—
126#2620C2212yescomplemented
127#2619C2212yescomplemented
128#2571C2212yescomplemented
129#2570C2212yescomplemented
130#2570C2212yescomplemented
131#2566C2212yescomplemented
132#2566C2212yescomplemented
133#2563C2212yescomplemented
134#2563C2212yescomplemented
135#2562C2212yescomplemented
136#2562C2212yescomplemented
137#2561C2214yes—
138#2552C2212yescomplemented
139#2547C2212yescomplemented
140#2542C2212yescomplemented
141#2538C2211yescharacteristic, complemented
142#2538C2211yescharacteristic, complemented
143#2537C2211yescharacteristic, complemented
144#2537C2212yescomplemented
145#2537C2211yescharacteristic, complemented
146#2537C2212yescomplemented
147#2536C2211yescharacteristic, complemented
148#2536C2211yescharacteristic, complemented
149#2535C2212yescomplemented
150#2535C2211yescharacteristic, complemented
151#2535C2211yescharacteristic, complemented
152#2535C2212yescomplemented
153#2534C2212yes—
154#2534C2212yes—
155#2509C2212yescomplemented
156#2508C2212yescomplemented
157#2507C2212yescomplemented
158#2506C2212yescomplemented
159#2505C2214yes—
160#2500C2212yescomplemented
161#2500C2212yescomplemented
162#2499C2212yescomplemented
163#2499C2212yescomplemented
164#2492C2212yescomplemented
165#2491C2212yescomplemented
166#2491C2212yescomplemented
167#2491C2212yescomplemented
168#2491C2212yescomplemented
169#2491C2212yescomplemented
170#2490C2212yescomplemented
171#2490C2212yescomplemented
172#2490C2212yescomplemented
173#2490C2212yescomplemented
174#2490C2212yescomplemented
175#2489C2212yescomplemented
176#2488C2214yes—
177#2487C2211yescharacteristic, complemented
178#2487C2211yescharacteristic, complemented
179#2486C2212yes—
180#2486C2211yescharacteristic, complemented
181#2486C2211yescharacteristic, complemented
182#2485C2211yescharacteristic, complemented
183#2485C2212yescomplemented
184#2485C2211yescharacteristic, complemented
185#2485C2212yescomplemented
186#2485C2212yescomplemented
187#2485C2212yescomplemented
188#2485C2211yescharacteristic, complemented
189#2485C2211yescharacteristic, complemented
190#2484C2212yes—
191#2483C2214yes—
192#2483C2212yes—
193#2482C2212yes—
194#2473C2214yes—
195#2472C2214yes—
196#2454C2212yescomplemented
197#2454C2212yescomplemented
198#2454C2212yescomplemented
199#2453C2212yescomplemented
200#2452C2212yescomplemented
201#2452C2212yescomplemented
202#2452C2212yescomplemented
203#2451C2212yescomplemented
204#2450C2214yes—
205#2449C2214yes—
206#2448C2212yescomplemented
207#2448C2212yescomplemented
208#2445C2212yescomplemented
209#2445C2212yescomplemented
210#2442C2212yescomplemented
211#2441C2212yescomplemented
212#2441C2212yescomplemented
213#2441C2212yescomplemented
214#2441C2212yescomplemented
215#2441C2212yescomplemented
216#2440C2212yescomplemented
217#2439C2212yescomplemented
218#2439C2212yescomplemented
219#2439C2212yescomplemented
220#2439C2212yescomplemented
221#2439C2212yescomplemented
222#2438C2214yes—
223#2437C2214yes—
224#2437C2214yes—
225#2437C2214yes—
226#2435C2214yes—
227#2428C2212yescomplemented
228#2428C2212yescomplemented
229#2427C2212yescomplemented
230#2427C2212yescomplemented
231#2422C2212yescomplemented
232#2422C2212yescomplemented
233#2422C2212yescomplemented
234#2422C2212yescomplemented
235#2420C2212yescomplemented
236#2420C2212yescomplemented
237#2420C2212yescomplemented
238#2420C2212yescomplemented
239#2418C2214yes—
240#2418C2214yes—
241#2416C2212yescomplemented
242#2416C2212yescomplemented
243#2414C2212yes—
244#2414C2212yes—
245#2414C2212yes—
246#2414C2212yes—
247#2414C2212yes—
248#2414C2212yes—
249#2414C2212yes—
250#2414C2212yes—
251#2414C2212yescomplemented
252#2414C2212yescomplemented
253#2412C2214yes—
254#2411C2214yes—
255#2410C2214yes—
256#2410C2214yes—
257#2408C2212yes—
258#2405C2212yes—
259#2405C2214yes—
260#2395C2212yescomplemented
261#2395C2212yescomplemented
262#2392C2212yescomplemented
263#2392C2212yescomplemented
264C2×#394C2212yes—
265C2×#392C2212yes—
266#2378C2214yescomplemented
267#2377C2214yescomplemented
268#2376C2214yescomplemented
269#2376C2214yescomplemented
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2317C2211yescharacteristic
275#2316C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2309C2211yescharacteristic
280#2309C2211yescharacteristic
281C4×#123C2212yescomplemented
282C4×#123C2212yescomplemented
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287C2×#390C2212yes—
288C2×#390C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#388C2212yes—
291#2285C2211yescharacteristic
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic
297C2×#380C2211yescharacteristic
298#2274C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2312yes—
304C24×C4C2311yescharacteristic
305C24×C4C2311yescharacteristic
306#544—44no—
307#544—44no—
308#535—44no—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#124C2312yes—
320C2×#124C2314yes—
321C2×#124C2314yes—
322C2×#124C2314yes—
323#525—44no—
324#525—44no—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×#121—44no—
344C2×#121—44no—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2314yes—
350C2×#121C2311yescharacteristic
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#120C2312yes—
366C2×#120C2312yes—
367C2×#120C2314yes—
368#518—44no—
369C4×#41—44no—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×D4—44no—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×#117—44no—
394C2×#117—44no—
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2311yescharacteristic
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2312yes—
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2312yes—
420C22×C22⋊C4C2312yes—
421C22×C22⋊C4C2311yescharacteristic
422C22×C22⋊C4C2312yes—
423C22×C22⋊C4C2312yes—
424C22×C22⋊C4C2311yescharacteristic
425C22×C22⋊C4C2314yes—
426C22×C22⋊C4C2312yes—
427C22×C22⋊C4C2312yes—
428C22×C42C2311yescharacteristic
429C22×C42C2312yes—
430C22×C42C2312yes—
431C22×C42C2312yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2312yes—
441#400C2312yes—
442#399C2312yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2312yes—
451#399C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2312yes—
461#398C2312yes—
462#398C2312yes—
463#398C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2312yes—
481#397C2314yes—
482#397C2312yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2312yes—
487#397C2312yes—
488#396C2312yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2312yes—
502#396C2312yes—
503#396C2314yes—
504#396C2314yes—
505#396C2312yes—
506#395C2314yes—
507#395C2314yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2312yes—
534#394C2312yes—
535#394C2312yes—
536#394C2312yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2312yes—
546#394C2312yes—
547#394C2314yes—
548#393C2314yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2314yes—
554#393C2314yes—
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#392C2312yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2314yes—
572#391C2314yes—
573#391C2314yes—
574#391C2314yes—
575#391C2314yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2314yes—
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#390C2312yes—
596#390C2314yes—
597#390C2312yes—
598#390C2314yes—
599#390C2312yes—
600#390C2314yes—
601#390C2314yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2314yes—
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2311yescharacteristic
633#389C2314yes—
634#389C2312yes—
635#389C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2314yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#384C2311yescharacteristic
727#384C2312yes—
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2312yes—
733#382C2311yescharacteristic
734#382C2314yes—
735#382C2312yes—
736#382C2314yes—
737#382C2311yescharacteristic
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#381C2314yes—
743#381C2312yes—
744#381C2312yes—
745#381C2312yes—
746#381C2312yes—
747#381C2314yes—
748#381C2312yes—
749#381C2312yes—
750#381C2312yes—
751#380C2312yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2314yes—
769#380C2314yes—
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2312yes—
774#380C2314yes—
775#380C2314yes—
776#380C2312yes—
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2312yes—
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#380C2311yescharacteristic
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#380C2311yescharacteristic
788#380C2311yescharacteristic
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#380C2311yescharacteristic
792#379C2314yes—
793#379C2314yes—
794#379C2312yes—
795#379C2312yes—
796#379C2312yes—
797#379C2312yes—
798#379C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C25C2411yescharacteristic
823C25C2412yes—
824C25C2411yescharacteristic
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2414yes—
830C22×Q8C2414yes—
831C22×D4—24no—
832C22×D4—24no—
833C22×D4—24no—
834C22×D4—42no—
835C22×D4—42no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—42no—
839C22×D4—44no—
840C22×D4—82no—
841C22×D4—82no—
842C22×D4—82no—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C23×C4—24no—
862C23×C4—24no—
863C23×C4—24no—
864C23×C4—24no—
865C23×C4—24no—
866C23×C4—24no—
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C4⋊Q8—44no—
891C4⋊Q8—44no—
892C4⋊Q8—44no—
893C4⋊Q8—44no—
894#127—44no—
895#125—44no—
896#125—44no—
897#125—44no—
898#125—44no—
899#125—84no—
900#124—44no—
901#124—84no—
902#124—84no—
903#124—84no—
904#123—48no—
905#123—48no—
906#123—44no—
907#123—44no—
908#123—44no—
909#123—44no—
910#123—84no—
911#123—84no—
912C22⋊Q8—48no—
913C22⋊Q8—48no—
914C22⋊Q8—48no—
915C22⋊Q8—42no—
916C22⋊Q8—42no—
917C22⋊Q8—42no—
918C22⋊Q8—42no—
919C22⋊Q8—84no—
920C22⋊Q8—84no—
921C22⋊Q8—84no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—42no—
933#121—42no—
934#121—42no—
935#121—42no—
936#121—44no—
937#121—44no—
938#121—48no—
939#121—84no—
940#121—84no—
941#121—84no—
942#120—44no—
943#120—44no—
944#120—48no—
945C4×Q8—42no—
946C4×Q8—42no—
947C4×D4—42no—
948C4×D4—42no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—42no—
954C4×D4—42no—
955C4×D4—42no—
956C4×D4—42no—
957C4×D4—42no—
958C4×D4—42no—
959C4×D4—42no—
960C4×D4—42no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967#117—24no—
968#117—24no—
969#117—24no—
970#117—24no—
971#117—24no—
972#117—24no—
973#117—24no—
974#117—44no—
975#117—44no—
976#117—44no—
977#117—44no—
978#117—44no—
979#117—44no—
980#117—44no—
981#117—42no—
982#117—42no—
983C2×C4⋊C4—24no—
984C2×C4⋊C4—24no—
985C2×C4⋊C4—24no—
986C2×C4⋊C4—42no—
987C2×C4⋊C4—42no—
988C2×C4⋊C4—42no—
989C2×C4⋊C4—82no—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C22⋊C4—44no—
1055C2×C22⋊C4—44no—
1056C2×C22⋊C4—48no—
1057C2×C22⋊C4—44no—
1058C2×C22⋊C4—42no—
1059C2×C22⋊C4—42no—
1060C2×C22⋊C4—44no—
1061C2×C22⋊C4—44no—
1062C2×C22⋊C4—82no—
1063C2×C22⋊C4—82no—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C42—24no—
1142C2×C42—44no—
1143C2×C42—44no—
1144C2×C42—44no—
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2414yes—
1158C2×C42C2414yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2414yes—
1163C2×C42C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
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#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220C24—22no—
1221C24—22no—
1222C24—22no—
1223C24—22no—
1224C24—22no—
1225C24—24no—
1226C24—22no—
1227C24—24no—
1228C24—22no—
1229C24—24no—
1230C24—41no—
1231C24—41no—
1232C24—41no—
1233C24—41no—
1234C24—41no—
1235C24—41no—
1236C24—41no—
1237C24—42no—
1238C24—42no—
1239C24—42no—
1240C24—42no—
1241C24C2511yescharacteristic
1242C24C2511yescharacteristic
1243C24C2511yescharacteristic
1244C24C2514yes—
1245C24C2512yes—
1246C24C2511yescharacteristic
1247C24C2511yescharacteristic
1248#41—416no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—44no—
1253C2×Q8—44no—
1254C2×Q8—44no—
1255C2×Q8—44no—
1256C2×Q8—44no—
1257C2×Q8—44no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—28no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—22no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—42no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—416no—
1313C2×D4—416no—
1314C2×D4—816no—
1315C2×D4—816no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—22no—
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—22no—
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—24no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—42no—
1358C22×C4—41no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—41no—
1367C22×C4—42no—
1368C22×C4—41no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—416no—
1383C22×C4—416no—
1384C22×C4H(5,𝔽2)14yes—
1385C22×C4H(5,𝔽2)14yes—
1386C22×C42−1+414yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2514yes—
1399C22×C4C2514yes—
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2514yes—
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
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—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—41no—
1441C4⋊C4—41no—
1442C4⋊C4—41no—
1443C4⋊C4—41no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—44no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—28no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
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—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—22no—
1560C42—24no—
1561C42—24no—
1562C42—24no—
1563C42—24no—
1564C42—24no—
1565C42—24no—
1566C42—24no—
1567C42—42no—
1568C42—42no—
1569C42—44no—
1570C42—44no—
1571C42—42no—
1572C42—42no—
1573C42—44no—
1574C42—44no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—22no—
1589C23—24no—
1590C23—24no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—22no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—22no—
1599C23—24no—
1600C23—24no—
1601C23—21no—
1602C23—21no—
1603C23—22no—
1604C23—22no—
1605C23—24no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—22no—
1612C23—22no—
1613C23—24no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—24no—
1618C23—21no—
1619C23—21no—
1620C23—44no—
1621C23—44no—
1622C23—44no—
1623C23—44no—
1624C23—44no—
1625C23—44no—
1626C23—44no—
1627C23—48no—
1628C23—82no—
1629C23—82no—
1630C23—82no—
1631C23—82no—
1632C23—82no—
1633C23—82no—
1634C23—82no—
1635C23—84no—
1636C23—84no—
1637C23—84no—
1638C23—84no—
1639C23—84no—
1640C23—84no—
1641C23C2×H(5,𝔽2)12yes—
1642C23C2×H(5,𝔽2)12yes—
1643C23C2×2−1+412yes—
1644C23#58512yes—
1645C23C2611yescharacteristic
1646Q8—44no—
1647Q8—164no—
1648Q8—164no—
1649D4—44no—
1650D4—44no—
1651D4—44no—
1652D4—44no—
1653D4—48no—
1654D4—48no—
1655D4—48no—
1656D4—44no—
1657D4—84no—
1658D4—88no—
1659D4—84no—
1660D4—84no—
1661D4—84no—
1662D4—88no—
1663D4—88no—
1664D4—88no—
1665D4—164no—
1666D4—164no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
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—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—24no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—24no—
1727C2×C4—24no—
1728C2×C4—24no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—44no—
1745C2×C4—48no—
1746C2×C4—44no—
1747C2×C4—44no—
1748C2×C4—44no—
1749C2×C4—44no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—44no—
1756C2×C4—48no—
1757C2×C4—84no—
1758C2×C4—84no—
1759C2×C4—82no—
1760C2×C4—84no—
1761C2×C4—84no—
1762C2×C4—84no—
1763C2×C4—84no—
1764C2×C4—164no—
1765C2×C4—164no—
1766C2×C4#562116yes—
1767C2×C4C2×H(5,𝔽2)12yes—
1768C2×C4C2×H(5,𝔽2)12yes—
1769C2×C4C2×H(5,𝔽2)12yes—
1770C2×C4C2×H(5,𝔽2)12yes—
1771C2×C4C2×2−1+412yes—
1772C2×C4C2×2−1+412yes—
1773C2×C4#58512yes—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—42no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—44no—
1792C22—42no—
1793C22—41no—
1794C22—41no—
1795C22—44no—
1796C22—41no—
1797C22—44no—
1798C22—41no—
1799C22—42no—
1800C22—41no—
1801C22—41no—
1802C22—42no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—44no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—42no—
1811C22—44no—
1812C22—44no—
1813C22—42no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—42no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—44no—
1822C22—88no—
1823C22—88no—
1824C22—168no—
1825C22C2×#56214yes—
1826C22C22×H(5,𝔽2)11yescharacteristic
1827C22C22×H(5,𝔽2)11yescharacteristic
1828C22C22×2−1+411yescharacteristic
1829C22C2×#58511yescharacteristic
1830C22C2×#58511yescharacteristic
1831C22H(7,𝔽2)11yescharacteristic
1832C22H(7,𝔽2)11yescharacteristic
1833C4—22no—
1834C4—41no—
1835C4—42no—
1836C4—42no—
1837C4—42no—
1838C4—41no—
1839C4—41no—
1840C4—44no—
1841C4—42no—
1842C4—42no—
1843C4—42no—
1844C4—44no—
1845C4—42no—
1846C4—42no—
1847C4—42no—
1848C4—42no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—42no—
1854C4—44no—
1855C4—42no—
1856C4—42no—
1857C4—42no—
1858C4—42no—
1859C4C2×#56214yes—
1860C4C2×#56214yes—
1861C2—24no—
1862C2—42no—
1863C2—82no—
1864C2—81no—
1865C2—81no—
1866C2—81no—
1867C2—84no—
1868C2C22×#56211yescharacteristic
1869C2#6282111yescharacteristic
1870C2#6287411yescharacteristic
1871C2#6292411yescharacteristic
1872C2#6292911yescharacteristic
1873C2#6295511yescharacteristic
1874C2#6295811yescharacteristic
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. #53134C2semidirect
2. #53094C2semidirect
3. #53071C2semidirect
4. #53068C2semidirect
5. #53062C2semidirect
6. #53061C2semidirect
7. #53057C2semidirect
8. #53056C2semidirect
9. #52346C2semidirect
10. #52316C2semidirect
11. #45733C2semidirect
12. #45720C2semidirect
13. #45710C2semidirect
14. #45676C2semidirect
15. #45670C2semidirect
16. #45649C2semidirect
17. #45641C2semidirect
18. #45589C2semidirect
19. #45524C2semidirect
20. #45514C2semidirect
21. #35584C2semidirect
22. #35543C2semidirect
23. #35542C2semidirect
24. #35540C2semidirect
25. #35529C2semidirect
26. #35514C2semidirect
27. #35257C2semidirect
28. #35254C2semidirect
29. #35253C2semidirect
30. #35252C2semidirect
31. #35157C2semidirect
32. #35151C2semidirect
33. #34935C2semidirect
34. #34809C2semidirect
35. C2×#2414C2semidirect
48. #2857C22semidirect
49. #2857C22semidirect
50. #2856C22semidirect
52. #2854C22semidirect
53. #2854C22semidirect
55. #2851C22semidirect
56. #2851C22semidirect
57. #2850C22semidirect
58. #2837C22semidirect
59. #2837C22semidirect
60. #2836C22semidirect
61. #2832C22semidirect
62. #2830C22semidirect
63. #2829C22semidirect
64. #2829C22semidirect
65. #2829C22semidirect
66. #2829C22semidirect
67. #2829C22semidirect
68. #2827C22semidirect
69. #2826C22semidirect
70. #2824C22semidirect
71. #2824C22semidirect
72. #2820C22semidirect
73. #2819C22semidirect
74. #2816C22semidirect
75. #2813C22semidirect
76. #2813C22semidirect
77. #2813C22semidirect
78. #2808C22semidirect
79. #2800C22semidirect
80. #2800C22semidirect
81. #2798C22semidirect
82. #2788C22semidirect
83. #2786C22semidirect
84. #2786C22semidirect
85. #2781C22semidirect
86. #2779C22semidirect
87. #2772C22semidirect
88. #2761C22semidirect
89. #2754C22semidirect
90. #2751C22semidirect
91. #2751C22semidirect
92. #2747C22semidirect
93. #2744C22semidirect
94. #2741C22semidirect
95. #2740C22semidirect
96. #2730C22semidirect
97. #2730C22semidirect
98. #2730C22semidirect
99. #2711C22semidirect
100. #2711C22semidirect
101. #2710C22semidirect
102. #2710C22semidirect
103. #2706C22semidirect
104. #2701C22semidirect
105. #2701C22semidirect
106. #2700C22semidirect
107. #2696C22semidirect
108. #2696C22semidirect
109. #2694C22semidirect
110. #2692C22semidirect
111. #2687C22semidirect
112. #2682C22semidirect
113. #2681C22semidirect
114. #2676C22semidirect
115. #2676C22semidirect
116. #2672C22semidirect
117. #2671C22semidirect
118. #2629C22semidirect
119. #2629C22semidirect
120. #2628C22semidirect
121. #2628C22semidirect
123. #2624C22semidirect
124. #2624C22semidirect
126. #2620C22semidirect
127. #2619C22semidirect
128. #2571C22semidirect
129. #2570C22semidirect
130. #2570C22semidirect
131. #2566C22semidirect
132. #2566C22semidirect
133. #2563C22semidirect
134. #2563C22semidirect
135. #2562C22semidirect
136. #2562C22semidirect
138. #2552C22semidirect
139. #2547C22semidirect
140. #2542C22semidirect
141. #2538C22semidirect
142. #2538C22semidirect
143. #2537C22semidirect
144. #2537C22semidirect
145. #2537C22semidirect
146. #2537C22semidirect
147. #2536C22semidirect
148. #2536C22semidirect
149. #2535C22semidirect
150. #2535C22semidirect
151. #2535C22semidirect
152. #2535C22semidirect
155. #2509C22semidirect
156. #2508C22semidirect
157. #2507C22semidirect
158. #2506C22semidirect
160. #2500C22semidirect
161. #2500C22semidirect
162. #2499C22semidirect
163. #2499C22semidirect
164. #2492C22semidirect
165. #2491C22semidirect
166. #2491C22semidirect
167. #2491C22semidirect
168. #2491C22semidirect
169. #2491C22semidirect
170. #2490C22semidirect
171. #2490C22semidirect
172. #2490C22semidirect
173. #2490C22semidirect
174. #2490C22semidirect
175. #2489C22semidirect
177. #2487C22semidirect
178. #2487C22semidirect
180. #2486C22semidirect
181. #2486C22semidirect
182. #2485C22semidirect
183. #2485C22semidirect
184. #2485C22semidirect
185. #2485C22semidirect
186. #2485C22semidirect
187. #2485C22semidirect
188. #2485C22semidirect
189. #2485C22semidirect
196. #2454C22semidirect
197. #2454C22semidirect
198. #2454C22semidirect
199. #2453C22semidirect
200. #2452C22semidirect
201. #2452C22semidirect
202. #2452C22semidirect
203. #2451C22semidirect
206. #2448C22semidirect
207. #2448C22semidirect
208. #2445C22semidirect
209. #2445C22semidirect
210. #2442C22semidirect
211. #2441C22semidirect
212. #2441C22semidirect
213. #2441C22semidirect
214. #2441C22semidirect
215. #2441C22semidirect
216. #2440C22semidirect
217. #2439C22semidirect
218. #2439C22semidirect
219. #2439C22semidirect
220. #2439C22semidirect
221. #2439C22semidirect
227. #2428C22semidirect
228. #2428C22semidirect
229. #2427C22semidirect
230. #2427C22semidirect
231. #2422C22semidirect
232. #2422C22semidirect
233. #2422C22semidirect
234. #2422C22semidirect
235. #2420C22semidirect
236. #2420C22semidirect
237. #2420C22semidirect
238. #2420C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
251. #2414C22semidirect
252. #2414C22semidirect
260. #2395C22semidirect
261. #2395C22semidirect
262. #2392C22semidirect
263. #2392C22semidirect
266. #2378C22semidirect
267. #2377C22semidirect
268. #2376C22semidirect
269. #2376C22semidirect
281. C4×#123C22semidirect
282. C4×#123C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect

Maximal subgroups

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

subgroupindex
#531342
#530942
#530712
#530682
#530622
#530612
#530572
#530562
#523462
#523162
#457332
#457202
#457102
#456762
#456702
#456492
#456412
#455892
#455242
#455142
#355842
#355432
#355422
#355402
#355292
#355142
#352572
#352542
#352532
#352522
#351572
#351512
#349352
#348092
C2×#24142