Finite Group Databasebeta

← #7652102

Subgroups — #7652102

Order 512.

5715 conjugacy classes of subgroups.

The subgroup lattice has 1914 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42993C212yesmaximal, complemented
2#42923C212yesmaximal, complemented
3#42869C212yesmaximal, complemented
4#42838C212yesmaximal, complemented
5#42709C212yesmaximal, complemented
6#42535C212yesmaximal, complemented
7#42448C212yesmaximal, complemented
8#42446C212yesmaximal, complemented
9#40840C214yesmaximal, complemented
10#40733C214yesmaximal, complemented
11#40164C212yesmaximal, complemented
12#40140C212yesmaximal, complemented
13#39934C212yesmaximal, complemented
14#39932C212yesmaximal, complemented
15#39783C212yesmaximal, complemented
16#39654C212yesmaximal, complemented
17#39605C212yesmaximal, complemented
18#39144C212yesmaximal, complemented
19#38577C214yesmaximal, complemented
20#38505C214yesmaximal, complemented
21#35564C211yesmaximal, characteristic, complemented
22#35564C211yesmaximal, characteristic, complemented
23#35530C211yesmaximal, characteristic, complemented
24#35519C211yesmaximal, characteristic, complemented
25#35518C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35267C211yesmaximal, characteristic, complemented
28#35251C211yesmaximal, characteristic, complemented
29#35180C211yesmaximal, characteristic, complemented
30#34813C211yesmaximal, characteristic, complemented
31C2×#2497C211yesmaximal, characteristic, complemented
32#34738C211yesmaximal, characteristic, complemented
33#34274C211yesmaximal, characteristic, complemented
34#34207C211yesmaximal, characteristic, complemented
35#34175C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic, complemented
40C2×#533C2211yescharacteristic, complemented
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C2×#520C2211yescharacteristic, complemented
48C2×#520C2211yescharacteristic, complemented
49#2863C2212yescomplemented
50#2860C2212yescomplemented
51#2850C2214yescomplemented
52#2848C2212yes—
53#2847C2212yes—
54#2832C2214yescomplemented
55#2829C2214yescomplemented
56#2827C2214yescomplemented
57#2826C2214yescomplemented
58#2806C2214yescomplemented
59#2803C2214yescomplemented
60#2800C2214yescomplemented
61#2788C2214yescomplemented
62#2788C2214yescomplemented
63#2784C2214yes—
64#2780C2214yes—
65#2780C2214yescomplemented
66#2779C2214yescomplemented
67#2779C2214yescomplemented
68#2778C2214yes—
69#2771C2214yescomplemented
70#2768C2214yes—
71#2761C2214yescomplemented
72#2756C2214yescomplemented
73#2753C2214yescomplemented
74#2753C2214yescomplemented
75#2751C2214yescomplemented
76#2751C2214yescomplemented
77#2749C2214yescomplemented
78#2745C2214yescomplemented
79#2741C2214yescomplemented
80#2735C2214yes—
81#2714C2214yescomplemented
82#2710C2214yescomplemented
83#2708C2214yescomplemented
84#2697C2214yes—
85#2696C2214yescomplemented
86#2685C2214yes—
87#2682C2214yescomplemented
88#2676C2214yescomplemented
89#2670C2214yes—
90#2666C2214yescomplemented
91#2662C2214yescomplemented
92#2661C2214yescomplemented
93#2653C2214yescomplemented
94#2650C2214yescomplemented
95#2649C2214yescomplemented
96#2648C2214yes—
97#2645C2212yescomplemented
98#2644C2212yescomplemented
99#2643C2214yescomplemented
100#2639C2214yescomplemented
101#2635C2214yescomplemented
102#2630C2214yescomplemented
103#2630C2214yescomplemented
104#2626C2214yes—
105#2616C2212yes—
106#2615C2212yes—
107#2595C2214yes—
108#2595C2214yescomplemented
109#2593C2214yescomplemented
110#2592C2212yescomplemented
111#2592C2212yescomplemented
112#2587C2214yes—
113#2582C2212yescomplemented
114#2581C2212yescomplemented
115#2580C2212yescomplemented
116#2574C2214yescomplemented
117#2568C2212yescomplemented
118#2563C2212yescomplemented
119#2562C2212yescomplemented
120#2562C2212yescomplemented
121#2557C2214yescomplemented
122#2548C2212yescomplemented
123#2547C2212yescomplemented
124#2543C2214yescomplemented
125#2543C2214yescomplemented
126#2538C2212yes—
127#2538C2212yescomplemented
128#2537C2212yescomplemented
129#2536C2212yescomplemented
130#2535C2212yes—
131#2510C2214yescomplemented
132#2505C2214yescomplemented
133#2502C2212yescomplemented
134#2501C2212yescomplemented
135#2500C2212yescomplemented
136#2499C2212yescomplemented
137#2497C2212yes—
138#2497C2212yes—
139#2497C2212yes—
140#2497C2212yes—
141#2497C2212yescomplemented
142#2497C2212yescomplemented
143#2497C2212yescomplemented
144#2497C2212yescomplemented
145#2497C2212yescomplemented
146#2496C2212yescomplemented
147#2495C2212yescomplemented
148#2494C2212yescomplemented
149#2492C2211yescharacteristic
150#2492C2211yescharacteristic, complemented
151#2491C2211yescharacteristic
152#2491C2211yescharacteristic, complemented
153#2490C2211yescharacteristic
154#2490C2211yescharacteristic, complemented
155#2489C2211yescharacteristic
156#2489C2211yescharacteristic, complemented
157#2488C2212yescomplemented
158#2488C2212yescomplemented
159#2487C2212yes—
160#2486C2212yescomplemented
161#2485C2212yes—
162#2485C2212yescomplemented
163#2481C2214yescomplemented
164#2472C2212yes—
165#2472C2212yes—
166#2459C2214yescomplemented
167#2456C2214yescomplemented
168#2450C2214yescomplemented
169#2450C2214yescomplemented
170#2449C2214yescomplemented
171#2443C2214yescomplemented
172#2443C2214yescomplemented
173#2442C2212yescomplemented
174#2441C2212yescomplemented
175#2440C2212yescomplemented
176#2439C2212yescomplemented
177#2436C2211yescharacteristic
178#2435C2211yescharacteristic
179#2434C2211yescharacteristic
180#2433C2211yescharacteristic
181#2432C2211yescharacteristic
182#2432C2211yescharacteristic
183#2431C2211yescharacteristic
184#2431C2211yescharacteristic
185#2430C2212yes—
186#2430C2214yes—
187#2430C2212yes—
188#2429C2212yescomplemented
189#2429C2212yescomplemented
190#2428C2212yescomplemented
191#2428C2212yescomplemented
192#2427C2212yescomplemented
193#2427C2212yescomplemented
194#2426C2212yescomplemented
195#2426C2212yescomplemented
196#2425C2214yescomplemented
197#2424C2214yes—
198#2424C2214yes—
199#2423C2212yes—
200#2423C2212yescomplemented
201#2423C2212yescomplemented
202#2422C2212yescomplemented
203#2422C2212yescomplemented
204#2422C2212yescomplemented
205#2421C2212yescomplemented
206#2420C2212yes—
207#2419C2214yescomplemented
208#2418C2214yes—
209#2418C2214yes—
210#2417C2212yes—
211#2417C2212yescomplemented
212#2417C2212yescomplemented
213#2416C2214yescomplemented
214#2416C2214yescomplemented
215#2416C2212yescomplemented
216#2416C2212yescomplemented
217#2416C2212yescomplemented
218#2415C2212yescomplemented
219#2415C2212yescomplemented
220#2415C2212yescomplemented
221#2414C2212yes—
222#2414C2212yescomplemented
223#2414C2212yescomplemented
224#2410C2212yes—
225#2410C2214yes—
226#2410C2212yes—
227#2409C2212yes—
228#2408C2212yes—
229#2407C2212yes—
230#2407C2212yes—
231#2398C2212yes—
232#2398C2212yescomplemented
233C2×#400C2212yescomplemented
234C2×#396C2212yes—
235#2388C2212yes—
236#2388C2212yes—
237#2363C2212yescomplemented
238#2363C2212yescomplemented
239#2362C2212yescomplemented
240#2362C2212yescomplemented
241#2361C2214yescomplemented
242#2361C2212yescomplemented
243#2361C2214yescomplemented
244#2361C2212yescomplemented
245#2360C2212yescomplemented
246#2360C2212yescomplemented
247#2354C2212yescomplemented
248#2354C2212yescomplemented
249D4×C4⋊C4C2212yescomplemented
250D4×C4⋊C4C2212yescomplemented
251#2341C2212yes—
252Q8×C22⋊C4C2212yes—
253#2339C2214yes—
254#2339C2212yes—
255D4×C22⋊C4C2214yes—
256D4×C22⋊C4C2212yes—
257#2337C2214yes—
258#2334C2214yescomplemented
259#2326C2212yescomplemented
260#2326C2212yescomplemented
261#2325C2214yescomplemented
262#2325C2214yescomplemented
263#2321C2214yes—
264#2317C2211yescharacteristic, complemented
265#2317C2211yescharacteristic, complemented
266#2316C2211yescharacteristic, complemented
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2212yes—
270#2311C2211yescharacteristic
271#2311C2212yes—
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic, complemented
274#2311C2211yescharacteristic, complemented
275C4×C4⋊Q8C2212yescomplemented
276C4×#127C2212yescomplemented
277C4×#124C2212yes—
278C4×#124C2212yescomplemented
279C4×#121C2214yescomplemented
280C4×#120C2212yes—
281C4×#120C2212yes—
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic, complemented
285#2297C2211yescharacteristic, complemented
286C2×#389C2211yescharacteristic, complemented
287C2×#389C2211yescharacteristic, complemented
288C2×#388C2212yes—
289C2×#387C2212yescomplemented
290C2×#384C2211yescharacteristic, complemented
291#2280C2211yescharacteristic
292#2280C2212yes—
293C2×#380C2212yes—
294C2×#380C2211yescharacteristic
295C2×#380C2211yescharacteristic
296C4×#117C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—28no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C22×#41C2312yes—
309C22×#41C2311yescharacteristic
310C23×Q8C2311yescharacteristic
311C23×D4C2311yescharacteristic
312C23×D4C2312yes—
313C24×C4C2311yescharacteristic
314C24×C4C2312yes—
315#537—28no—
316#537—44no—
317#537—44no—
318#533—44no—
319#532—28no—
320#532—44no—
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2311yescharacteristic
323C2×C4⋊Q8C2311yescharacteristic
324C2×C4⋊Q8C2311yescharacteristic
325C2×#127C2311yescharacteristic
326C2×#127C2311yescharacteristic
327C2×#126C2314yes—
328C2×#125C2311yescharacteristic
329C2×#125C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2314yes—
337#525—44no—
338#525—44no—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#120C2312yes—
378C2×#120C2312yes—
379C2×#120C2312yes—
380C2×#120C2312yes—
381C2×#120C2314yes—
382#520—44no—
383#520—44no—
384#520—44no—
385#520—44no—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2314yes—
411C2×#117C2311yescharacteristic
412C2×#117C2311yescharacteristic
413C2×#117C2311yescharacteristic
414C2×#117C2311yescharacteristic
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2311yescharacteristic
421C22×C4⋊C4C2311yescharacteristic
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2312yes—
431C22×C22⋊C4C2311yescharacteristic
432C22×C22⋊C4C2311yescharacteristic
433C22×C22⋊C4C2314yes—
434C22×C22⋊C4C2312yes—
435C22×C22⋊C4C2312yes—
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2312yes—
439#401C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2312yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2312yes—
453#400C2312yes—
454#400C2312yes—
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2314yes—
479#397C2314yes—
480#397C2312yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#395C2312yes—
498#395C2314yes—
499#395C2314yes—
500#395C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2312yes—
524#394C2312yes—
525#394C2312yes—
526#394C2312yes—
527#394C2312yes—
528#394C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2314yes—
532#393C2312yes—
533#393C2312yes—
534#393C2314yes—
535#393C2312yes—
536#393C2312yes—
537#393C2312yes—
538#393C2312yes—
539#392C2314yes—
540#392C2312yes—
541#392C2314yes—
542#392C2314yes—
543#392C2312yes—
544#392C2312yes—
545#392C2314yes—
546#392C2312yes—
547#392C2312yes—
548#392C2312yes—
549#392C2314yes—
550#392C2314yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2312yes—
555#391C2314yes—
556#391C2312yes—
557#391C2314yes—
558#391C2312yes—
559#391C2314yes—
560#391C2311yescharacteristic
561#391C2311yescharacteristic
562#391C2314yes—
563#391C2311yescharacteristic
564#391C2311yescharacteristic
565#391C2311yescharacteristic
566#391C2311yescharacteristic
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2312yes—
570#391C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2312yes—
582#390C2314yes—
583#390C2311yescharacteristic
584#390C2314yes—
585#390C2311yescharacteristic
586#390C2311yescharacteristic
587#390C2311yescharacteristic
588#390C2311yescharacteristic
589#390C2314yes—
590#390C2311yescharacteristic
591#390C2314yes—
592#390C2311yescharacteristic
593#390C2311yescharacteristic
594#390C2312yes—
595#390C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2312yes—
613#389C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
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#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
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#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2312yes—
735#383C2314yes—
736#382C2314yes—
737#382C2312yes—
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#381C2312yes—
742#381C2314yes—
743#381C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2312yes—
766#380C2314yes—
767#380C2312yes—
768#380C2314yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2312yes—
775#379C2314yes—
776#379C2314yes—
777#379C2312yes—
778#379C2312yes—
779#379C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815#376C2312yes—
816C2×#95C2312yes—
817C2×#95C2314yes—
818C2×#95C2312yes—
819C2×#95C2311yescharacteristic
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2311yescharacteristic
823C2×#95C2312yes—
824C43C2312yes—
825C25C2411yescharacteristic
826C25C2412yes—
827C2×#41—24no—
828C2×#41—28no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—28no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—24no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41—42no—
847C2×#41—42no—
848C2×#41—42no—
849C2×#41—42no—
850C2×#41—464no—
851C2×#41#4118yes—
852C22×Q8—24no—
853C22×Q8—42no—
854C22×Q8—42no—
855C22×Q8C2411yescharacteristic
856C22×Q8C2411yescharacteristic
857C22×Q8C2411yescharacteristic
858C22×Q8C2411yescharacteristic
859C22×Q8C2412yes—
860C22×Q8C2412yes—
861C22×Q8C2412yes—
862C22×D4—28no—
863C22×D4—24no—
864C22×D4—42no—
865C22×D4—42no—
866C22×D4—44no—
867C22×D4—44no—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2411yescharacteristic
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2414yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C23×C4—28no—
891C23×C4—24no—
892C23×C4—24no—
893C23×C4—24no—
894C23×C4—44no—
895C23×C4—44no—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2414yes—
919C23×C4C2414yes—
920C23×C4C2411yescharacteristic
921C4⋊Q8—24no—
922C4⋊Q8—42no—
923C4⋊Q8—42no—
924C4⋊Q8—42no—
925#127—24no—
926#127—42no—
927#126—48no—
928#125—42no—
929#125—42no—
930#124—24no—
931#124—24no—
932#124—28no—
933#124—44no—
934#124—42no—
935#124—42no—
936#124—84no—
937#123—44no—
938#123—44no—
939#123—84no—
940#123—84no—
941#123—84no—
942C22⋊Q8—28no—
943C22⋊Q8—28no—
944C22⋊Q8—44no—
945C22⋊Q8—44no—
946C22⋊Q8—42no—
947C22⋊Q8—42no—
948C22⋊Q8—42no—
949C22⋊Q8—42no—
950C22⋊Q8—44no—
951C22⋊Q8—44no—
952C22⋊Q8—44no—
953C22⋊Q8—44no—
954C22⋊Q8—84no—
955#121—28no—
956#121—28no—
957#121—28no—
958#121—216no—
959#121—28no—
960#121—48no—
961#121—42no—
962#121—42no—
963#121—42no—
964#121—42no—
965#121—44no—
966#121—44no—
967#121—44no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—48no—
972#121—48no—
973#121—84no—
974#121—84no—
975#120—28no—
976#120—44no—
977#120—44no—
978#120—44no—
979#120—84no—
980C4×Q8—44no—
981C4×Q8—44no—
982C4×Q8—44no—
983C4×Q8—44no—
984C4×Q8—44no—
985C4×Q8—44no—
986C4×D4—28no—
987C4×D4—28no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—48no—
999C4×D4—48no—
1000C4×D4—48no—
1001C4×D4—48no—
1002C4×D4—84no—
1003C4×D4—84no—
1004C4×D4—84no—
1005#117—24no—
1006#117—24no—
1007#117—24no—
1008#117—24no—
1009#117—44no—
1010#117—44no—
1011#117—44no—
1012#117—44no—
1013C2×C4⋊C4—24no—
1014C2×C4⋊C4—24no—
1015C2×C4⋊C4—24no—
1016C2×C4⋊C4—24no—
1017C2×C4⋊C4—44no—
1018C2×C4⋊C4—44no—
1019C2×C4⋊C4—44no—
1020C2×C4⋊C4—44no—
1021C2×C4⋊C4—44no—
1022C2×C4⋊C4—82no—
1023C2×C4⋊C4—82no—
1024C2×C4⋊C4—82no—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C22⋊C4—24no—
1077C2×C22⋊C4—42no—
1078C2×C22⋊C4—82no—
1079C2×C22⋊C4—84no—
1080C2×C22⋊C4—82no—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C42—24no—
1156C2×C42—24no—
1157C2×C42—82no—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2411yescharacteristic
1172C2×C42C2414yes—
1173C2×C42C2414yes—
1174C2×C42C2414yes—
1175C2×C42C2414yes—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2414yes—
1179C2×C42C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240C24—22no—
1241C24—24no—
1242C24—22no—
1243C24—22no—
1244C24—22no—
1245C24—24no—
1246C24—41no—
1247C24—41no—
1248C24—41no—
1249C24—42no—
1250C24—42no—
1251C24—42no—
1252C24—42no—
1253C24—42no—
1254C24C2511yescharacteristic
1255C24C2512yes—
1256C24C2512yes—
1257C24C2512yes—
1258C24C2512yes—
1259C24C2511yescharacteristic
1260C24C2511yescharacteristic
1261#41—232no—
1262#41—432no—
1263#41—432no—
1264#41—416no—
1265#41—416no—
1266#41—416no—
1267#41—416no—
1268#41—416no—
1269C2×Q8—22no—
1270C2×Q8—22no—
1271C2×Q8—24no—
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—22no—
1275C2×Q8—22no—
1276C2×Q8—22no—
1277C2×Q8—22no—
1278C2×Q8—22no—
1279C2×Q8—22no—
1280C2×Q8—22no—
1281C2×Q8—24no—
1282C2×Q8—42no—
1283C2×Q8—42no—
1284C2×Q8—42no—
1285C2×Q8—42no—
1286C2×Q8—42no—
1287C2×Q8—42no—
1288C2×Q8—42no—
1289C2×Q8—416no—
1290C2×Q8C2×#4114yes—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—28no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—24no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—44no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—432no—
1356C2×D4—416no—
1357C2×D4C2×#4118yes—
1358C2×D4C2×#4114yes—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—24no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—24no—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—22no—
1376C22×C4—24no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—41no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—41no—
1417C22×C4—42no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—432no—
1431C22×C4—416no—
1432C22×C4C2×#4118yes—
1433C22×C4C2×#4114yes—
1434C22×C4H(5,𝔽2)14yes—
1435C22×C4H(5,𝔽2)14yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2514yes—
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2514yes—
1452C22×C4C2514yes—
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2514yes—
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—28no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—28no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—44no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—28no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—22no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—28no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—22no—
1534C22⋊C4—22no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—41no—
1538C22⋊C4—41no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C42−1+414yes—
1589C42—22no—
1590C42—22no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—24no—
1598C42—24no—
1599C42—24no—
1600C42—24no—
1601C42—24no—
1602C42—24no—
1603C42—44no—
1604C42—44no—
1605C42—44no—
1606C42—44no—
1607C42—44no—
1608C42—44no—
1609C42—42no—
1610C42—42no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—21no—
1622C23—22no—
1623C23—21no—
1624C23—21no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—21no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—21no—
1636C23—21no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—21no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—21no—
1645C23—22no—
1646C23—22no—
1647C23—21no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—21no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—44no—
1656C23—44no—
1657C23—44no—
1658C23—48no—
1659C23—48no—
1660C23—44no—
1661C23—82no—
1662C23—82no—
1663C23—82no—
1664C23—84no—
1665C23—84no—
1666C23—84no—
1667C23—84no—
1668C23—84no—
1669C23C22×#4114yes—
1670C23C22×#4112yes—
1671C23C2×H(5,𝔽2)12yes—
1672C23C2×H(5,𝔽2)12yes—
1673C23C2×2−1+412yes—
1674C23C2611yescharacteristic
1675Q8—28no—
1676Q8—48no—
1677Q8—44no—
1678Q8—44no—
1679Q8—44no—
1680Q8—84no—
1681Q8—84no—
1682D4—216no—
1683D4—28no—
1684D4—48no—
1685D4—48no—
1686D4—48no—
1687D4—48no—
1688D4—48no—
1689D4—48no—
1690D4—48no—
1691D4—48no—
1692D4—44no—
1693D4—44no—
1694D4—44no—
1695D4—84no—
1696D4—88no—
1697D4—84no—
1698D4—84no—
1699D4—84no—
1700D4—84no—
1701D4—84no—
1702D4—164no—
1703D4—164no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—216no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—24no—
1736C2×C4—24no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—24no—
1758C2×C4—21no—
1759C2×C4—24no—
1760C2×C4—21no—
1761C2×C4—24no—
1762C2×C4—24no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—24no—
1771C2×C4—22no—
1772C2×C4—24no—
1773C2×C4—24no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—24no—
1779C2×C4—44no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—48no—
1783C2×C4—48no—
1784C2×C4—48no—
1785C2×C4—44no—
1786C2×C4—44no—
1787C2×C4—44no—
1788C2×C4—44no—
1789C2×C4—44no—
1790C2×C4—48no—
1791C2×C4—48no—
1792C2×C4—48no—
1793C2×C4—84no—
1794C2×C4—84no—
1795C2×C4—84no—
1796C2×C4—84no—
1797C2×C4—82no—
1798C2×C4—164no—
1799C2×C4—164no—
1800C2×C4—164no—
1801C2×C4—164no—
1802C2×C4#538116yes—
1803C2×C4C22×#4114yes—
1804C2×C4C22×#4112yes—
1805C2×C4C22×#4112yes—
1806C2×C4C2×H(5,𝔽2)12yes—
1807C2×C4C2×H(5,𝔽2)12yes—
1808C2×C4C2×H(5,𝔽2)12yes—
1809C2×C4C2×H(5,𝔽2)12yes—
1810C2×C4C2×2−1+412yes—
1811C2×C4C2×2−1+412yes—
1812C2×C4#58512yes—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—24no—
1820C22—22no—
1821C22—24no—
1822C22—22no—
1823C22—24no—
1824C22—22no—
1825C22—41no—
1826C22—42no—
1827C22—42no—
1828C22—41no—
1829C22—41no—
1830C22—42no—
1831C22—41no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—41no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—41no—
1841C22—42no—
1842C22—42no—
1843C22—41no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—41no—
1848C22—42no—
1849C22—42no—
1850C22—41no—
1851C22—42no—
1852C22—42no—
1853C22—41no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—41no—
1861C22—88no—
1862C22—816no—
1863C22C2×#53814yes—
1864C22C23×#4111yescharacteristic
1865C22C22×H(5,𝔽2)11yescharacteristic
1866C22C22×H(5,𝔽2)11yescharacteristic
1867C22C22×2−1+411yescharacteristic
1868C22C2×#58511yescharacteristic
1869C22H(7,𝔽2)11yescharacteristic
1870C22H(7,𝔽2)11yescharacteristic
1871C4—22no—
1872C4—22no—
1873C4—24no—
1874C4—22no—
1875C4—41no—
1876C4—41no—
1877C4—44no—
1878C4—42no—
1879C4—42no—
1880C4—44no—
1881C4—44no—
1882C4—42no—
1883C4—42no—
1884C4—41no—
1885C4—41no—
1886C4—42no—
1887C4—42no—
1888C4—42no—
1889C4—44no—
1890C4—41no—
1891C4—41no—
1892C4—42no—
1893C4—42no—
1894C4—41no—
1895C4—42no—
1896C4—42no—
1897C4C2×#53814yes—
1898C4C2×#53814yes—
1899C2—24no—
1900C2—44no—
1901C2—42no—
1902C2—82no—
1903C2—82no—
1904C2—81no—
1905C2—82no—
1906C2C22×#53811yescharacteristic
1907C2#6283511yescharacteristic
1908C2#6288011yescharacteristic
1909C2#6293011yescharacteristic
1910C2#6294411yescharacteristic
1911C2#6300011yescharacteristic
1912C2#6300811yescharacteristic
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. #42993C2semidirect
2. #42923C2semidirect
3. #42869C2semidirect
4. #42838C2semidirect
5. #42709C2semidirect
6. #42535C2semidirect
7. #42448C2semidirect
8. #42446C2semidirect
9. #40840C2semidirect
10. #40733C2semidirect
11. #40164C2semidirect
12. #40140C2semidirect
13. #39934C2semidirect
14. #39932C2semidirect
15. #39783C2semidirect
16. #39654C2semidirect
17. #39605C2semidirect
18. #39144C2semidirect
19. #38577C2semidirect
20. #38505C2semidirect
21. #35564C2semidirect
22. #35564C2semidirect
23. #35530C2semidirect
24. #35519C2semidirect
25. #35518C2semidirect
26. #35516C2semidirect
27. #35267C2semidirect
28. #35251C2semidirect
29. #35180C2semidirect
30. #34813C2semidirect
31. C2×#2497C2semidirect
32. #34738C2semidirect
33. #34274C2semidirect
34. #34207C2semidirect
35. #34175C2semidirect
39. C2×#537C22semidirect
40. C2×#533C22semidirect
47. C2×#520C22semidirect
48. C2×#520C22semidirect
49. #2863C22semidirect
50. #2860C22semidirect
51. #2850C22semidirect
54. #2832C22semidirect
55. #2829C22semidirect
56. #2827C22semidirect
57. #2826C22semidirect
58. #2806C22semidirect
59. #2803C22semidirect
60. #2800C22semidirect
61. #2788C22semidirect
62. #2788C22semidirect
65. #2780C22semidirect
66. #2779C22semidirect
67. #2779C22semidirect
69. #2771C22semidirect
71. #2761C22semidirect
72. #2756C22semidirect
73. #2753C22semidirect
74. #2753C22semidirect
75. #2751C22semidirect
76. #2751C22semidirect
77. #2749C22semidirect
78. #2745C22semidirect
79. #2741C22semidirect
81. #2714C22semidirect
82. #2710C22semidirect
83. #2708C22semidirect
85. #2696C22semidirect
87. #2682C22semidirect
88. #2676C22semidirect
90. #2666C22semidirect
91. #2662C22semidirect
92. #2661C22semidirect
93. #2653C22semidirect
94. #2650C22semidirect
95. #2649C22semidirect
97. #2645C22semidirect
98. #2644C22semidirect
99. #2643C22semidirect
100. #2639C22semidirect
101. #2635C22semidirect
102. #2630C22semidirect
103. #2630C22semidirect
108. #2595C22semidirect
109. #2593C22semidirect
110. #2592C22semidirect
111. #2592C22semidirect
113. #2582C22semidirect
114. #2581C22semidirect
115. #2580C22semidirect
116. #2574C22semidirect
117. #2568C22semidirect
118. #2563C22semidirect
119. #2562C22semidirect
120. #2562C22semidirect
121. #2557C22semidirect
122. #2548C22semidirect
123. #2547C22semidirect
124. #2543C22semidirect
125. #2543C22semidirect
127. #2538C22semidirect
128. #2537C22semidirect
129. #2536C22semidirect
131. #2510C22semidirect
132. #2505C22semidirect
133. #2502C22semidirect
134. #2501C22semidirect
135. #2500C22semidirect
136. #2499C22semidirect
141. #2497C22semidirect
142. #2497C22semidirect
143. #2497C22semidirect
144. #2497C22semidirect
145. #2497C22semidirect
146. #2496C22semidirect
147. #2495C22semidirect
148. #2494C22semidirect
150. #2492C22semidirect
152. #2491C22semidirect
154. #2490C22semidirect
156. #2489C22semidirect
157. #2488C22semidirect
158. #2488C22semidirect
160. #2486C22semidirect
162. #2485C22semidirect
163. #2481C22semidirect
166. #2459C22semidirect
167. #2456C22semidirect
168. #2450C22semidirect
169. #2450C22semidirect
170. #2449C22semidirect
171. #2443C22semidirect
172. #2443C22semidirect
173. #2442C22semidirect
174. #2441C22semidirect
175. #2440C22semidirect
176. #2439C22semidirect
188. #2429C22semidirect
189. #2429C22semidirect
190. #2428C22semidirect
191. #2428C22semidirect
192. #2427C22semidirect
193. #2427C22semidirect
194. #2426C22semidirect
195. #2426C22semidirect
196. #2425C22semidirect
200. #2423C22semidirect
201. #2423C22semidirect
202. #2422C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2421C22semidirect
207. #2419C22semidirect
211. #2417C22semidirect
212. #2417C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
216. #2416C22semidirect
217. #2416C22semidirect
218. #2415C22semidirect
219. #2415C22semidirect
220. #2415C22semidirect
222. #2414C22semidirect
223. #2414C22semidirect
232. #2398C22semidirect
233. C2×#400C22semidirect
237. #2363C22semidirect
238. #2363C22semidirect
239. #2362C22semidirect
240. #2362C22semidirect
241. #2361C22semidirect
242. #2361C22semidirect
243. #2361C22semidirect
244. #2361C22semidirect
245. #2360C22semidirect
246. #2360C22semidirect
247. #2354C22semidirect
248. #2354C22semidirect
249. D4×C4⋊C4C22semidirect
250. D4×C4⋊C4C22semidirect
258. #2334C22semidirect
259. #2326C22semidirect
260. #2326C22semidirect
261. #2325C22semidirect
262. #2325C22semidirect
264. #2317C22semidirect
265. #2317C22semidirect
266. #2316C22semidirect
273. #2311C22semidirect
274. #2311C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×#127C22semidirect
278. C4×#124C22semidirect
279. C4×#121C22semidirect
284. #2297C22semidirect
285. #2297C22semidirect
286. C2×#389C22semidirect
287. C2×#389C22semidirect
289. C2×#387C22semidirect
290. C2×#384C22semidirect
296. C4×#117C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#429932
#429232
#428692
#428382
#427092
#425352
#424482
#424462
#408402
#407332
#401642
#401402
#399342
#399322
#397832
#396542
#396052
#391442
#385772
#385052
#355642
#355302
#355192
#355182
#355162
#352672
#352512
#351802
#348132
C2×#24972
#347382
#342742
#342072
#341752