Finite Group Databasebeta

← #7737459

Subgroups — #7737459

Order 512.

5389 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59823C211yesmaximal, characteristic, complemented
2#59642C211yesmaximal, characteristic, complemented
3#59428C211yesmaximal, characteristic, complemented
4#59420C211yesmaximal, characteristic, complemented
5#59258C211yesmaximal, characteristic, complemented
6#59214C211yesmaximal, characteristic, complemented
7#59064C211yesmaximal, characteristic, complemented
8#59035C211yesmaximal, characteristic
9#51699C214yesmaximal, complemented
10#51641C214yesmaximal, complemented
11#45220C212yesmaximal, complemented
12#45191C212yesmaximal, complemented
13#45171C212yesmaximal, complemented
14#45084C212yesmaximal, complemented
15#45081C212yesmaximal, complemented
16#45071C212yesmaximal, complemented
17#45006C212yesmaximal, complemented
18#44992C212yesmaximal, complemented
19#40076C212yesmaximal, complemented
20#40069C212yesmaximal, complemented
21#39031C212yesmaximal, complemented
22#39021C212yesmaximal, complemented
23#36855C214yesmaximal, complemented
24#36237C212yesmaximal, complemented
25#36215C212yesmaximal, complemented
26#36162C212yesmaximal, complemented
27#36161C212yesmaximal, complemented
28#35376C214yesmaximal, complemented
29#35206C211yesmaximal, characteristic, complemented
30#35176C211yesmaximal, characteristic, complemented
31#34969C211yesmaximal, characteristic, complemented
32#34969C211yesmaximal, characteristic, complemented
33#34498C211yesmaximal, characteristic, complemented
34#34226C211yesmaximal, characteristic, complemented
35C4×D42C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#556C2212yes—
38C2×#554C2212yescomplemented
39C2×#552C2212yescomplemented
40C2×#546C2212yes—
41C2×D42C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C22×C4×D4C2212yes—
44C22×C4×D4C2212yes—
45#2857C2212yescomplemented
46#2855C2212yescomplemented
47#2855C2212yescomplemented
48#2851C2212yescomplemented
49#2849C2214yescomplemented
50#2848C2214yescomplemented
51#2807C2214yescomplemented
52#2787C2214yescomplemented
53#2782C2214yescomplemented
54#2780C2214yescomplemented
55#2771C2214yescomplemented
56#2770C2214yescomplemented
57#2750C2214yescomplemented
58#2749C2214yescomplemented
59#2747C2214yescomplemented
60#2746C2214yescomplemented
61#2743C2214yescomplemented
62#2743C2214yescomplemented
63#2743C2214yescomplemented
64#2740C2214yescomplemented
65#2739C2214yescomplemented
66#2739C2214yescomplemented
67#2735C2214yescomplemented
68#2732C2214yescomplemented
69#2728C2214yescomplemented
70#2723C2214yescomplemented
71#2708C2214yescomplemented
72#2702C2214yescomplemented
73#2697C2214yes—
74#2696C2214yescomplemented
75#2695C2214yescomplemented
76#2695C2214yescomplemented
77#2691C2214yescomplemented
78#2690C2214yescomplemented
79#2689C2214yescomplemented
80#2685C2214yescomplemented
81#2681C2214yescomplemented
82#2668C2214yes—
83#2667C2214yescomplemented
84#2652C2214yescomplemented
85#2652C2214yescomplemented
86#2649C2214yescomplemented
87#2589C2214yescomplemented
88#2587C2214yescomplemented
89#2582C2212yescomplemented
90#2581C2212yescomplemented
91#2580C2212yes—
92#2579C2214yescomplemented
93#2578C2214yescomplemented
94#2576C2214yescomplemented
95#2570C2212yescomplemented
96#2568C2211yescharacteristic, complemented
97#2566C2212yes—
98#2564C2214yescomplemented
99#2561C2214yescomplemented
100#2552C2211yescharacteristic, complemented
101#2552C2211yescharacteristic, complemented
102#2547C2211yescharacteristic
103#2547C2212yescomplemented
104#2546C2211yescharacteristic, complemented
105#2542C2211yescharacteristic
106#2542C2212yescomplemented
107#2538C2211yescharacteristic
108#2538C2211yescharacteristic
109#2538C2212yescomplemented
110#2538C2212yescomplemented
111#2538C2212yescomplemented
112#2538C2212yescomplemented
113#2537C2212yes—
114#2534C2214yes—
115#2530C2212yescomplemented
116#2530C2212yescomplemented
117#2527C2212yescomplemented
118#2527C2212yescomplemented
119#2522C2214yescomplemented
120#2515C2214yescomplemented
121#2511C2212yescomplemented
122#2511C2211yescharacteristic, complemented
123#2511C2211yescharacteristic, complemented
124#2509C2212yescomplemented
125#2509C2211yescharacteristic, complemented
126#2509C2211yescharacteristic, complemented
127#2507C2212yescomplemented
128#2506C2212yescomplemented
129#2502C2212yescomplemented
130#2497C2212yescomplemented
131#2496C2212yescomplemented
132#2496C2212yescomplemented
133#2496C2212yescomplemented
134#2495C2212yescomplemented
135#2494C2211yescharacteristic, complemented
136#2494C2211yescharacteristic, complemented
137#2493C2214yescomplemented
138#2492C2211yescharacteristic, complemented
139#2492C2212yescomplemented
140#2492C2211yescharacteristic, complemented
141#2489C2212yescomplemented
142#2487C2212yescomplemented
143#2485C2214yescomplemented
144#2485C2212yescomplemented
145#2483C2214yescomplemented
146#2482C2214yescomplemented
147#2480C2214yescomplemented
148#2480C2214yescomplemented
149#2480C2214yescomplemented
150#2478C2214yescomplemented
151#2477C2214yescomplemented
152#2477C2212yescomplemented
153#2477C2212yescomplemented
154#2475C2214yescomplemented
155#2470C2214yescomplemented
156#2470C2212yescomplemented
157#2470C2212yescomplemented
158#2467C2214yescomplemented
159#2467C2214yescomplemented
160#2466C2214yescomplemented
161#2466C2214yescomplemented
162#2460C2214yescomplemented
163#2460C2214yescomplemented
164#2454C2212yes—
165#2454C2212yescomplemented
166#2454C2212yescomplemented
167#2452C2211yescharacteristic
168#2452C2211yescharacteristic
169#2450C2214yescomplemented
170#2449C2214yescomplemented
171#2447C2212yes—
172#2447C2211yescharacteristic
173#2447C2212yes—
174#2447C2211yescharacteristic
175#2447C2212yescomplemented
176#2447C2212yescomplemented
177#2446C2212yescomplemented
178#2443C2214yescomplemented
179#2443C2214yescomplemented
180#2442C2214yescomplemented
181#2442C2212yescomplemented
182#2441C2212yescomplemented
183#2440C2212yescomplemented
184#2437C2214yescomplemented
185#2437C2214yescomplemented
186#2435C2212yes—
187#2435C2212yes—
188#2435C2212yes—
189#2432C2212yescomplemented
190#2429C2212yescomplemented
191#2427C2212yes—
192#2427C2211yescharacteristic
193#2427C2212yes—
194#2427C2211yescharacteristic
195#2427C2212yes—
196#2427C2212yescomplemented
197#2423C2212yescomplemented
198#2423C2212yescomplemented
199#2422C2212yes—
200#2422C2212yes—
201#2422C2211yescharacteristic
202#2422C2211yescharacteristic
203#2421C2212yescomplemented
204#2420C2212yes—
205#2420C2212yes—
206#2420C2212yescomplemented
207#2419C2214yescomplemented
208#2419C2214yescomplemented
209#2419C2214yescomplemented
210#2418C2214yes—
211#2417C2214yescomplemented
212#2415C2214yescomplemented
213#2412C2214yescomplemented
214#2411C2214yescomplemented
215#2408C2212yes—
216#2407C2212yes—
217#2401C2212yescomplemented
218#2401C2212yescomplemented
219#2398C2212yescomplemented
220#2398C2212yescomplemented
221#2376C2214yescomplemented
222#2367C2212yes—
223#2367C2212yescomplemented
224#2367C2212yescomplemented
225#2367C2212yescomplemented
226#2367C2212yescomplemented
227#2366C2211yescharacteristic
228#2366C2211yescharacteristic
229#2363C2212yes—
230#2363C2212yescomplemented
231#2363C2212yescomplemented
232#2361C2212yes—
233#2361C2212yes—
234#2360C2212yescomplemented
235#2360C2212yescomplemented
236#2358C2214yes—
237#2357C2212yescomplemented
238#2354C2212yes—
239Q8×C4⋊C4C2211yescharacteristic, complemented
240Q8×C4⋊C4C2211yescharacteristic, complemented
241#2349C2212yescomplemented
242#2349C2212yescomplemented
243D4×C4⋊C4C2211yescharacteristic
244D4×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2212yescomplemented
246D4×C4⋊C4C2212yescomplemented
247D4×C4⋊C4C2212yescomplemented
248#2344C2212yescomplemented
249#2341C2212yescomplemented
250#2339C2212yescomplemented
251#2339C2212yescomplemented
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2212yes—
257#2330C2212yescomplemented
258#2329C2214yescomplemented
259#2326C2212yes—
260#2326C2212yescomplemented
261#2326C2212yescomplemented
262#2324C2212yescomplemented
263#2324C2212yescomplemented
264#2322C2214yescomplemented
265#2320C2212yescomplemented
266#2319C2212yes—
267#2319C2212yescomplemented
268#2319C2212yescomplemented
269#2319C2212yescomplemented
270#2313C2214yescomplemented
271C4×C4⋊Q8C2211yescharacteristic, complemented
272C4×C4⋊Q8C2211yescharacteristic, complemented
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#127C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#124C2211yescharacteristic
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2211yescharacteristic, complemented
281C4×C22⋊Q8C2212yescomplemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#123C2212yescomplemented
284C4×#123C2212yescomplemented
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#120C2214yes—
290#2295C2211yescharacteristic, complemented
291#2295C2211yescharacteristic, complemented
292C2×#385C2214yescomplemented
293#2285C2211yescharacteristic, complemented
294#2280C2214yescomplemented
295#2275C2212yescomplemented
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302C24×C4C2314yes—
303#559—28no—
304#556—48no—
305#554—48no—
306#552—48no—
307#546—48no—
308D42—28no—
309#532—28no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×#127C2311yescharacteristic
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#123C2314yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×D4—48no—
363C2×C4×D4—48no—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2314yes—
395C2×#117C2314yes—
396C2×#117C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2314yes—
399C22×C4⋊C4C2314yes—
400C22×C4⋊C4C2312yes—
401C22×C22⋊C4C2314yes—
402C22×C22⋊C4C2314yes—
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2314yes—
405C22×C42C2311yescharacteristic
406C22×C42C2312yes—
407C22×C42C2312yes—
408#401C2312yes—
409#401C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2312yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#400C2312yes—
429#400C2312yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2312yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#395C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#393C2312yes—
499#393C2314yes—
500#393C2312yes—
501#393C2312yes—
502#393C2312yes—
503#392C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2314yes—
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2312yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2311yescharacteristic
543#390C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2312yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#383C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2311yescharacteristic
715#382C2314yes—
716#382C2311yescharacteristic
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2312yes—
726#381C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2314yes—
749#380C2314yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2312yes—
753#380C2311yescharacteristic
754#379C2314yes—
755#379C2314yes—
756#379C2314yes—
757#379C2314yes—
758#379C2314yes—
759#379C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812#376C2311yescharacteristic
813#376C2312yes—
814#376C2311yescharacteristic
815C2×#95C2314yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C25C2414yes—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×D4—28no—
829C22×D4—28no—
830C22×D4—28no—
831C22×D4—28no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C23×C4—48no—
845C23×C4—48no—
846C23×C4—48no—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C4⋊Q8—24no—
865C4⋊Q8—24no—
866C4⋊Q8—42no—
867C4⋊Q8—44no—
868#127#4118yes—
869#126—48no—
870#126—48no—
871#126—48no—
872#125—28no—
873#125—44no—
874#125—48no—
875#124—28no—
876#124—28no—
877#124—28no—
878#124—28no—
879#124—24no—
880#124—24no—
881#123—216no—
882#123—44no—
883#123—48no—
884#123—44no—
885#123—48no—
886C22⋊Q8—24no—
887C22⋊Q8—48no—
888C22⋊Q8—48no—
889C22⋊Q8—44no—
890C22⋊Q8—48no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—42no—
894C22⋊Q8—48no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—48no—
899#121—28no—
900#121—28no—
901#121—28no—
902#121—28no—
903#121—24no—
904#121—24no—
905#121—48no—
906#120—216no—
907#120—48no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—24no—
921C4×D4—28no—
922C4×D4—24no—
923C4×D4—24no—
924C4×D4—28no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—42no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—48no—
941C4×D4—48no—
942C4×D4—48no—
943C4×D4—48no—
944#117—42no—
945#117—42no—
946#117—48no—
947#117—44no—
948#117—48no—
949C2×C4⋊C4—28no—
950C2×C4⋊C4—48no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4—48no—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C22⋊C4—48no—
1020C2×C22⋊C4—48no—
1021C2×C22⋊C4—48no—
1022C2×C22⋊C4—48no—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C42—24no—
1083C2×C42—44no—
1084C2×C42—44no—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2414yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
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#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190C24—28no—
1191C24—28no—
1192C24—28no—
1193C24—44no—
1194C24—44no—
1195C24—44no—
1196C24—44no—
1197C24C2511yescharacteristic
1198C24C2514yes—
1199C24C2512yes—
1200C24C2512yes—
1201#41—816no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—24no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—24no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×D4—28no—
1218C2×D4—28no—
1219C2×D4—28no—
1220C2×D4—28no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—432no—
1243C2×D4—432no—
1244C2×D4C2×#4118yes—
1245C2×D4C2×#4118yes—
1246C2×D4C2×#4118yes—
1247C2×D4H(5,𝔽2)14yes—
1248C2×D42−1+414yes—
1249C22×C4—28no—
1250C22×C4—24no—
1251C22×C4—28no—
1252C22×C4—28no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—28no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—28no—
1272C22×C4—28no—
1273C22×C4—28no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—44no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—832no—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2514yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2514yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2514yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—28no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—28no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—28no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4H(5,𝔽2)14yes—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—24no—
1461C42—24no—
1462C42—22no—
1463C42—22no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—42no—
1477C42—42no—
1478C42—42no—
1479C42—42no—
1480C42—41no—
1481C42—41no—
1482C42—44no—
1483C42—44no—
1484C42—44no—
1485C42—44no—
1486C42—44no—
1487C42C2×#4114yes—
1488C23—22no—
1489C23—22no—
1490C23—24no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—24no—
1495C23—22no—
1496C23—24no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—24no—
1501C23—22no—
1502C23—24no—
1503C23—22no—
1504C23—24no—
1505C23—22no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—416no—
1514C23—416no—
1515C23—416no—
1516C23—88no—
1517C23—88no—
1518C23—88no—
1519C23—88no—
1520C23C22×#4118yes—
1521C23C2×H(5,𝔽2)14yes—
1522C23C2×2−1+414yes—
1523C23C2611yescharacteristic
1524Q8—44no—
1525Q8—48no—
1526Q8—44no—
1527Q8—84no—
1528Q8—84no—
1529D4—28no—
1530D4—216no—
1531D4—28no—
1532D4—216no—
1533D4—48no—
1534D4—416no—
1535D4—416no—
1536D4—84no—
1537D4—84no—
1538D4—88no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—24no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—24no—
1600C2×C4—21no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—48no—
1623C2×C4—416no—
1624C2×C4—48no—
1625C2×C4—44no—
1626C2×C4—48no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—48no—
1630C2×C4—88no—
1631C2×C4—88no—
1632C2×C4—88no—
1633C2×C4—84no—
1634C2×C4—88no—
1635C2×C4—88no—
1636C2×C4—84no—
1637C2×C4—88no—
1638C2×C4—164no—
1639C2×C4C22×#4112yes—
1640C2×C4C22×#4112yes—
1641C2×C4C22×#4112yes—
1642C2×C4C2×H(5,𝔽2)14yes—
1643C2×C4C2×H(5,𝔽2)12yes—
1644C2×C4C2×H(5,𝔽2)12yes—
1645C2×C4C2×2−1+412yes—
1646C2×C4#58512yes—
1647C2×C4#58512yes—
1648C2×C4#58512yes—
1649C22—24no—
1650C22—24no—
1651C22—24no—
1652C22—24no—
1653C22—28no—
1654C22—24no—
1655C22—24no—
1656C22—28no—
1657C22—28no—
1658C22—42no—
1659C22—44no—
1660C22—44no—
1661C22—44no—
1662C22—42no—
1663C22—42no—
1664C22—44no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—832no—
1678C22C23×#4111yescharacteristic
1679C22C22×H(5,𝔽2)11yescharacteristic
1680C22C22×H(5,𝔽2)11yescharacteristic
1681C22C22×2−1+411yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22C2×#58511yescharacteristic
1685C4—22no—
1686C4—24no—
1687C4—22no—
1688C4—22no—
1689C4—44no—
1690C4—42no—
1691C4—42no—
1692C4—42no—
1693C4—41no—
1694C4—41no—
1695C4—42no—
1696C4—41no—
1697C4—42no—
1698C4—44no—
1699C4—41no—
1700C4—42no—
1701C4—42no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—42no—
1706C4—44no—
1707C4—42no—
1708C4—41no—
1709C4—42no—
1710C4—42no—
1711C4—41no—
1712C4—42no—
1713C4—42no—
1714C4#351314yes—
1715C4#352014yes—
1716C2—48no—
1717C2—44no—
1718C2—44no—
1719C2—81no—
1720C2C2×#351311yescharacteristic
1721C2C2×#352011yescharacteristic
1722C2#6278111yescharacteristic
1723C2#6301211yescharacteristic
1724C2#6301311yescharacteristic
1725C2#6301911yescharacteristic
1726C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59035C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59823C2semidirect
2. #59642C2semidirect
3. #59428C2semidirect
4. #59420C2semidirect
5. #59258C2semidirect
6. #59214C2semidirect
7. #59064C2semidirect
9. #51699C2semidirect
10. #51641C2semidirect
11. #45220C2semidirect
12. #45191C2semidirect
13. #45171C2semidirect
14. #45084C2semidirect
15. #45081C2semidirect
16. #45071C2semidirect
17. #45006C2semidirect
18. #44992C2semidirect
19. #40076C2semidirect
20. #40069C2semidirect
21. #39031C2semidirect
22. #39021C2semidirect
23. #36855C2semidirect
24. #36237C2semidirect
25. #36215C2semidirect
26. #36162C2semidirect
27. #36161C2semidirect
28. #35376C2semidirect
29. #35206C2semidirect
30. #35176C2semidirect
31. #34969C2semidirect
32. #34969C2semidirect
33. #34498C2semidirect
34. #34226C2semidirect
35. C4×D42C2semidirect
38. C2×#554C22semidirect
39. C2×#552C22semidirect
45. #2857C22semidirect
46. #2855C22semidirect
47. #2855C22semidirect
48. #2851C22semidirect
49. #2849C22semidirect
50. #2848C22semidirect
51. #2807C22semidirect
52. #2787C22semidirect
53. #2782C22semidirect
54. #2780C22semidirect
55. #2771C22semidirect
56. #2770C22semidirect
57. #2750C22semidirect
58. #2749C22semidirect
59. #2747C22semidirect
60. #2746C22semidirect
61. #2743C22semidirect
62. #2743C22semidirect
63. #2743C22semidirect
64. #2740C22semidirect
65. #2739C22semidirect
66. #2739C22semidirect
67. #2735C22semidirect
68. #2732C22semidirect
69. #2728C22semidirect
70. #2723C22semidirect
71. #2708C22semidirect
72. #2702C22semidirect
74. #2696C22semidirect
75. #2695C22semidirect
76. #2695C22semidirect
77. #2691C22semidirect
78. #2690C22semidirect
79. #2689C22semidirect
80. #2685C22semidirect
81. #2681C22semidirect
83. #2667C22semidirect
84. #2652C22semidirect
85. #2652C22semidirect
86. #2649C22semidirect
87. #2589C22semidirect
88. #2587C22semidirect
89. #2582C22semidirect
90. #2581C22semidirect
92. #2579C22semidirect
93. #2578C22semidirect
94. #2576C22semidirect
95. #2570C22semidirect
96. #2568C22semidirect
98. #2564C22semidirect
99. #2561C22semidirect
100. #2552C22semidirect
101. #2552C22semidirect
103. #2547C22semidirect
104. #2546C22semidirect
106. #2542C22semidirect
109. #2538C22semidirect
110. #2538C22semidirect
111. #2538C22semidirect
112. #2538C22semidirect
115. #2530C22semidirect
116. #2530C22semidirect
117. #2527C22semidirect
118. #2527C22semidirect
119. #2522C22semidirect
120. #2515C22semidirect
121. #2511C22semidirect
122. #2511C22semidirect
123. #2511C22semidirect
124. #2509C22semidirect
125. #2509C22semidirect
126. #2509C22semidirect
127. #2507C22semidirect
128. #2506C22semidirect
129. #2502C22semidirect
130. #2497C22semidirect
131. #2496C22semidirect
132. #2496C22semidirect
133. #2496C22semidirect
134. #2495C22semidirect
135. #2494C22semidirect
136. #2494C22semidirect
137. #2493C22semidirect
138. #2492C22semidirect
139. #2492C22semidirect
140. #2492C22semidirect
141. #2489C22semidirect
142. #2487C22semidirect
143. #2485C22semidirect
144. #2485C22semidirect
145. #2483C22semidirect
146. #2482C22semidirect
147. #2480C22semidirect
148. #2480C22semidirect
149. #2480C22semidirect
150. #2478C22semidirect
151. #2477C22semidirect
152. #2477C22semidirect
153. #2477C22semidirect
154. #2475C22semidirect
155. #2470C22semidirect
156. #2470C22semidirect
157. #2470C22semidirect
158. #2467C22semidirect
159. #2467C22semidirect
160. #2466C22semidirect
161. #2466C22semidirect
162. #2460C22semidirect
163. #2460C22semidirect
165. #2454C22semidirect
166. #2454C22semidirect
169. #2450C22semidirect
170. #2449C22semidirect
175. #2447C22semidirect
176. #2447C22semidirect
177. #2446C22semidirect
178. #2443C22semidirect
179. #2443C22semidirect
180. #2442C22semidirect
181. #2442C22semidirect
182. #2441C22semidirect
183. #2440C22semidirect
184. #2437C22semidirect
185. #2437C22semidirect
189. #2432C22semidirect
190. #2429C22semidirect
196. #2427C22semidirect
197. #2423C22semidirect
198. #2423C22semidirect
203. #2421C22semidirect
206. #2420C22semidirect
207. #2419C22semidirect
208. #2419C22semidirect
209. #2419C22semidirect
211. #2417C22semidirect
212. #2415C22semidirect
213. #2412C22semidirect
214. #2411C22semidirect
217. #2401C22semidirect
218. #2401C22semidirect
219. #2398C22semidirect
220. #2398C22semidirect
221. #2376C22semidirect
223. #2367C22semidirect
224. #2367C22semidirect
225. #2367C22semidirect
226. #2367C22semidirect
230. #2363C22semidirect
231. #2363C22semidirect
234. #2360C22semidirect
235. #2360C22semidirect
237. #2357C22semidirect
239. Q8×C4⋊C4C22semidirect
240. Q8×C4⋊C4C22semidirect
241. #2349C22semidirect
242. #2349C22semidirect
245. D4×C4⋊C4C22semidirect
246. D4×C4⋊C4C22semidirect
247. D4×C4⋊C4C22semidirect
248. #2344C22semidirect
249. #2341C22semidirect
250. #2339C22semidirect
251. #2339C22semidirect
257. #2330C22semidirect
258. #2329C22semidirect
260. #2326C22semidirect
261. #2326C22semidirect
262. #2324C22semidirect
263. #2324C22semidirect
264. #2322C22semidirect
265. #2320C22semidirect
267. #2319C22semidirect
268. #2319C22semidirect
269. #2319C22semidirect
270. #2313C22semidirect
271. C4×C4⋊Q8C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×C4⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×#123C22semidirect
284. C4×#123C22semidirect
290. #2295C22semidirect
291. #2295C22semidirect
292. C2×#385C22semidirect
293. #2285C22semidirect
294. #2280C22semidirect
295. #2275C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598232
#596422
#594282
#594202
#592582
#592142
#590642
#590352
#516992
#516412
#452202
#451912
#451712
#450842
#450812
#450712
#450062
#449922
#400762
#400692
#390312
#390212
#368552
#362372
#362152
#361622
#361612
#353762
#352062
#351762
#349692
#344982
#342262
C4×D422