Finite Group Databasebeta

← #7653644

Subgroups — #7653644

Order 512.

5862 conjugacy classes of subgroups.

The subgroup lattice has 1809 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42545C212yesmaximal, complemented
2#42537C212yesmaximal, complemented
3#40813C214yesmaximal, complemented
4#40785C214yesmaximal, complemented
5#40117C212yesmaximal, complemented
6#39377C211yesmaximal, characteristic, complemented
7#39236C212yesmaximal, complemented
8#39201C211yesmaximal, characteristic, complemented
9#39147C211yesmaximal, characteristic, complemented
10#38932C211yesmaximal, characteristic, complemented
11#38503C214yesmaximal, complemented
12#38110C212yesmaximal, complemented
13#37892C212yesmaximal, complemented
14#37852C212yesmaximal, complemented
15#37715C214yesmaximal, complemented
16#37664C212yesmaximal, complemented
17#37625C211yesmaximal, characteristic, complemented
18#37505C212yesmaximal, complemented
19#36289C211yesmaximal, characteristic, complemented
20#36215C212yesmaximal, complemented
21#36180C211yesmaximal, characteristic, complemented
22#36154C211yesmaximal, characteristic, complemented
23D4×#123C212yesmaximal, complemented
24D4×#121C211yesmaximal, characteristic
25#35903C212yesmaximal, complemented
26#35873C212yesmaximal, complemented
27#35277C211yesmaximal, characteristic, complemented
28#35225C212yesmaximal, complemented
29#35207C211yesmaximal, characteristic, complemented
30#35080C212yesmaximal, complemented
31#34969C211yesmaximal, characteristic, complemented
32C2×#2422C212yesmaximal, complemented
33#34332C211yesmaximal, characteristic, complemented
34C4×D42C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2212yes—
38C2×D42C2211yescharacteristic
39C2×D42C2212yes—
40C2×#542C2212yescomplemented
41C2×#542C2212yescomplemented
42C22×#123C2214yescomplemented
43C22×#121C2212yes—
44C22×C4×D4C2211yescharacteristic
45C22×C4×D4C2212yes—
46C22×C4×D4C2212yescomplemented
47#2868C2211yescharacteristic, complemented
48#2858C2211yescharacteristic, complemented
49#2857C2212yescomplemented
50#2857C2211yescharacteristic, complemented
51#2856C2211yescharacteristic
52#2854C2212yescomplemented
53#2851C2212yescomplemented
54#2850C2212yescomplemented
55#2849C2214yescomplemented
56#2848C2212yescomplemented
57#2848C2214yescomplemented
58#2847C2212yes—
59#2838C2214yescomplemented
60#2837C2214yescomplemented
61#2829C2214yescomplemented
62#2796C2214yescomplemented
63#2795C2214yescomplemented
64#2793C2214yescomplemented
65#2790C2214yescomplemented
66#2764C2214yescomplemented
67#2757C2214yescomplemented
68#2751C2214yescomplemented
69#2746C2214yescomplemented
70#2741C2214yescomplemented
71#2737C2214yescomplemented
72#2730C2214yescomplemented
73#2718C2214yescomplemented
74#2718C2214yescomplemented
75#2717C2214yescomplemented
76#2712C2214yescomplemented
77#2710C2214yescomplemented
78#2705C2214yescomplemented
79#2701C2214yescomplemented
80#2701C2214yescomplemented
81#2691C2214yescomplemented
82#2687C2214yescomplemented
83#2686C2214yescomplemented
84#2674C2214yescomplemented
85#2672C2214yescomplemented
86#2663C2214yescomplemented
87#2653C2214yescomplemented
88#2653C2214yescomplemented
89#2652C2214yescomplemented
90#2649C2214yescomplemented
91#2647C2212yescomplemented
92#2644C2212yescomplemented
93#2644C2212yescomplemented
94#2643C2214yescomplemented
95#2641C2212yescomplemented
96#2640C2212yescomplemented
97#2639C2214yescomplemented
98#2638C2214yescomplemented
99#2630C2214yescomplemented
100#2630C2214yescomplemented
101#2628C2212yescomplemented
102#2624C2212yescomplemented
103#2624C2212yescomplemented
104#2620C2212yescomplemented
105#2620C2212yescomplemented
106#2591C2214yescomplemented
107#2580C2212yescomplemented
108#2579C2214yescomplemented
109#2567C2212yescomplemented
110#2566C2212yescomplemented
111#2564C2214yescomplemented
112#2563C2211yescharacteristic, complemented
113#2563C2211yescharacteristic, complemented
114#2562C2212yescomplemented
115#2552C2211yescharacteristic, complemented
116#2552C2212yescomplemented
117#2552C2211yescharacteristic, complemented
118#2548C2212yescomplemented
119#2548C2211yescharacteristic, complemented
120#2541C2211yescharacteristic
121#2538C2211yescharacteristic, complemented
122#2537C2211yescharacteristic
123#2530C2212yescomplemented
124#2527C2212yescomplemented
125#2513C2212yescomplemented
126#2513C2212yescomplemented
127#2512C2212yescomplemented
128#2512C2212yescomplemented
129#2511C2211yescharacteristic, complemented
130#2510C2214yescomplemented
131#2510C2214yescomplemented
132#2509C2211yescharacteristic, complemented
133#2504C2212yescomplemented
134#2502C2214yescomplemented
135#2501C2212yescomplemented
136#2496C2212yescomplemented
137#2495C2212yescomplemented
138#2495C2212yescomplemented
139#2494C2212yescomplemented
140#2494C2212yescomplemented
141#2494C2211yescharacteristic, complemented
142#2492C2211yescharacteristic, complemented
143#2491C2212yescomplemented
144#2491C2212yescomplemented
145#2491C2212yescomplemented
146#2491C2212yescomplemented
147#2490C2212yescomplemented
148#2490C2212yescomplemented
149#2490C2212yescomplemented
150#2490C2212yescomplemented
151#2487C2212yescomplemented
152#2486C2212yescomplemented
153#2481C2214yescomplemented
154#2480C2214yescomplemented
155#2480C2214yescomplemented
156#2480C2214yescomplemented
157#2477C2212yescomplemented
158#2472C2214yescomplemented
159#2472C2214yescomplemented
160#2472C2214yescomplemented
161#2472C2214yescomplemented
162#2472C2214yescomplemented
163#2472C2214yescomplemented
164#2470C2212yescomplemented
165#2468C2214yescomplemented
166#2461C2214yescomplemented
167#2458C2214yescomplemented
168#2454C2212yescomplemented
169#2454C2212yescomplemented
170#2452C2212yescomplemented
171#2452C2212yescomplemented
172#2452C2211yescharacteristic, complemented
173#2450C2214yescomplemented
174#2450C2214yescomplemented
175#2449C2214yescomplemented
176#2447C2211yescharacteristic, complemented
177#2445C2212yescomplemented
178#2445C2212yescomplemented
179#2443C2214yescomplemented
180#2443C2214yescomplemented
181#2442C2212yescomplemented
182#2442C2212yescomplemented
183#2440C2212yescomplemented
184#2440C2212yescomplemented
185#2440C2214yescomplemented
186#2440C2212yescomplemented
187#2437C2214yescomplemented
188#2437C2214yescomplemented
189#2437C2214yescomplemented
190#2435C2214yescomplemented
191#2435C2212yescomplemented
192#2428C2212yes—
193#2427C2211yescharacteristic
194#2427C2212yescomplemented
195#2426C2212yescomplemented
196#2424C2214yes—
197#2423C2212yescomplemented
198#2422C2212yes—
199#2422C2211yescharacteristic
200#2422C2212yescomplemented
201#2422C2212yescomplemented
202#2422C2214yescomplemented
203#2422C2212yescomplemented
204#2422C2214yescomplemented
205#2422C2214yescomplemented
206#2422C2212yescomplemented
207#2422C2214yescomplemented
208#2422C2212yescomplemented
209#2422C2212yescomplemented
210#2422C2212yescomplemented
211#2422C2212yescomplemented
212#2418C2214yescomplemented
213#2418C2214yescomplemented
214#2417C2212yescomplemented
215#2416C2212yes—
216#2416C2212yes—
217#2412C2214yescomplemented
218#2410C2214yes—
219#2408C2212yes—
220#2405C2214yescomplemented
221#2401C2212yescomplemented
222#2398C2212yescomplemented
223C2×#397C2214yescomplemented
224C2×#394C2214yescomplemented
225#2370C2212yescomplemented
226#2369C2211yescharacteristic, complemented
227#2366C2211yescharacteristic, complemented
228#2361C2212yescomplemented
229#2361C2212yescomplemented
230#2360C2212yescomplemented
231#2360C2214yescomplemented
232#2358C2214yescomplemented
233#2357C2211yescharacteristic, complemented
234#2357C2211yescharacteristic, complemented
235#2353C2212yescomplemented
236#2353C2212yescomplemented
237Q8×C4⋊C4C2211yescharacteristic, complemented
238#2349C2211yescharacteristic
239#2349C2212yes—
240#2349C2211yescharacteristic
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2212yes—
244D4×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2211yescharacteristic, complemented
246#2345C2212yescomplemented
247#2345C2211yescharacteristic, complemented
248#2345C2211yescharacteristic, complemented
249#2342C2212yescomplemented
250#2342C2212yescomplemented
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2211yescharacteristic
256D4×C22⋊C4C2212yes—
257D4×C22⋊C4C2211yescharacteristic
258D4×C22⋊C4C2212yescomplemented
259#2337C2214yescomplemented
260#2335C2214yescomplemented
261#2330C2212yescomplemented
262#2329C2214yescomplemented
263#2326C2212yescomplemented
264#2326C2212yescomplemented
265#2324C2212yescomplemented
266#2324C2212yescomplemented
267#2319C2212yescomplemented
268#2314C2212yescomplemented
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×C4⋊Q8C2211yescharacteristic, complemented
271C4×#127C2211yescharacteristic, complemented
272C4×#124C2211yescharacteristic, complemented
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2211yescharacteristic, complemented
275C4×C22⋊Q8C2212yescomplemented
276C4×#123C2212yescomplemented
277C4×#121C2211yescharacteristic
278C4×#121C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#120C2214yescomplemented
281#2295C2211yescharacteristic, complemented
282#2293C2211yescharacteristic, complemented
283#2293C2211yescharacteristic, complemented
284C2×#390C2212yescomplemented
285C2×#389C2212yescomplemented
286#2290C2212yescomplemented
287#2290C2212yescomplemented
288C2×#385C2214yescomplemented
289C2×#384C2212yescomplemented
290#2283C2211yescharacteristic, complemented
291#2280C2212yescomplemented
292C2×#380C2212yescomplemented
293#2275C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2212yescomplemented
299C23×D4C2311yescharacteristic
300C23×D4C2312yes—
301C23×D4C2312yes—
302C23×D4C2314yes—
303C24×C4C2312yes—
304C24×C4C2314yes—
305#554—28no—
306#554—48no—
307D42—28no—
308D42—48no—
309#542—48no—
310#542—48no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#123—416no—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×#121—48no—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×D4—28no—
373C2×C4×D4—48no—
374C2×C4×D4—48no—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2314yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2314yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2314yes—
413C22×C4⋊C4C2312yes—
414C22×C22⋊C4C2312yes—
415C22×C22⋊C4C2312yes—
416C22×C22⋊C4C2312yes—
417C22×C22⋊C4C2314yes—
418C22×C22⋊C4C2314yes—
419C22×C22⋊C4C2314yes—
420C22×C22⋊C4C2314yes—
421C22×C22⋊C4C2314yes—
422C22×C22⋊C4C2314yes—
423C22×C42C2311yescharacteristic
424C22×C42C2312yes—
425C22×C42C2312yes—
426C22×C42C2312yes—
427#401C2314yes—
428#401C2312yes—
429#400C2314yes—
430#400C2314yes—
431#400C2312yes—
432#400C2312yes—
433#400C2314yes—
434#400C2312yes—
435#400C2314yes—
436#400C2314yes—
437#400C2312yes—
438#400C2312yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2312yes—
520#393C2312yes—
521#392C2314yes—
522#392C2314yes—
523#391C2312yes—
524#391C2312yes—
525#391C2314yes—
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2314yes—
529#391C2312yes—
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#391C2311yescharacteristic
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2311yescharacteristic
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2311yescharacteristic
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2314yes—
562#390C2314yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2311yescharacteristic
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
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#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2312yes—
706#384C2314yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2314yes—
713#383C2314yes—
714#383C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2311yescharacteristic
718#382C2311yescharacteristic
719#382C2311yescharacteristic
720#381C2314yes—
721#381C2312yes—
722#381C2312yes—
723#381C2312yes—
724#381C2312yes—
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2314yes—
751#380C2314yes—
752#380C2312yes—
753#379C2314yes—
754#379C2314yes—
755#379C2314yes—
756#379C2314yes—
757#379C2314yes—
758#379C2312yes—
759#379C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812#376C2311yescharacteristic
813#376C2312yes—
814#376C2311yescharacteristic
815C2×#95C2314yes—
816C2×#95C2314yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C25C2412yes—
822C25C2414yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×D4—24no—
828C22×D4—28no—
829C22×D4—28no—
830C22×D4—28no—
831C22×D4—24no—
832C22×D4—24no—
833C22×D4—28no—
834C22×D4—28no—
835C22×D4—44no—
836C22×D4—48no—
837C22×D4—48no—
838C22×D4—48no—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2411yescharacteristic
853C23×C4—28no—
854C23×C4—44no—
855C23×C4—48no—
856C23×C4—44no—
857C23×C4—48no—
858C23×C4—48no—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2412yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2414yes—
880C4⋊Q8—24no—
881C4⋊Q8—42no—
882C4⋊Q8—44no—
883C4⋊Q8—44no—
884C4⋊Q8—44no—
885#127—24no—
886#127—44no—
887#126—48no—
888#126—48no—
889#125—28no—
890#125—44no—
891#125—44no—
892#124—24no—
893#124—44no—
894#124—44no—
895#124—44no—
896#124—48no—
897#124—48no—
898#124—48no—
899#123—28no—
900#123—216no—
901#123—48no—
902#123—48no—
903#123—48no—
904#123—48no—
905#123—48no—
906#123—48no—
907#123—48no—
908C22⋊Q8—28no—
909C22⋊Q8—216no—
910C22⋊Q8—48no—
911C22⋊Q8—44no—
912C22⋊Q8—48no—
913C22⋊Q8—48no—
914C22⋊Q8—48no—
915C22⋊Q8—44no—
916C22⋊Q8—48no—
917C22⋊Q8—42no—
918C22⋊Q8—44no—
919#121—24no—
920#121—28no—
921#121—28no—
922#121—28no—
923#121—48no—
924#121—48no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—48no—
932#120—216no—
933#120—48no—
934#120—48no—
935C4×Q8—24no—
936C4×Q8—44no—
937C4×Q8—44no—
938C4×Q8—44no—
939C4×D4—24no—
940C4×D4—28no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—28no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—28no—
950C4×D4—24no—
951C4×D4—28no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—42no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—48no—
962C4×D4—48no—
963C4×D4—48no—
964C4×D4—48no—
965C4×D4#4118yes—
966#117—24no—
967#117—44no—
968#117—44no—
969#117—42no—
970C2×C4⋊C4—28no—
971C2×C4⋊C4—24no—
972C2×C4⋊C4—44no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—48no—
976C2×C4⋊C4—48no—
977C2×C4⋊C4—48no—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C22⋊C4—28no—
1039C2×C22⋊C4—28no—
1040C2×C22⋊C4—44no—
1041C2×C22⋊C4—48no—
1042C2×C22⋊C4—48no—
1043C2×C22⋊C4—48no—
1044C2×C22⋊C4—48no—
1045C2×C22⋊C4—48no—
1046C2×C22⋊C4—48no—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C42—24no—
1116C2×C42—44no—
1117C2×C42—44no—
1118C2×C42—44no—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
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#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213C24—24no—
1214C24—28no—
1215C24—24no—
1216C24—28no—
1217C24—28no—
1218C24—24no—
1219C24—24no—
1220C24—28no—
1221C24—44no—
1222C24—44no—
1223C24—42no—
1224C24—42no—
1225C24—42no—
1226C24—44no—
1227C24C2512yes—
1228C24C2514yes—
1229C24C2512yes—
1230C24C2511yescharacteristic
1231C24C2512yes—
1232C2×Q8—22no—
1233C2×Q8—24no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—24no—
1237C2×Q8—42no—
1238C2×Q8—42no—
1239C2×Q8—42no—
1240C2×Q8—42no—
1241C2×Q8—44no—
1242C2×Q8—44no—
1243C2×Q8—44no—
1244C2×D4—24no—
1245C2×D4—28no—
1246C2×D4—28no—
1247C2×D4—28no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—28no—
1253C2×D4—28no—
1254C2×D4—28no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—28no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—432no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—416no—
1284C2×D4—432no—
1285C2×D4—832no—
1286C2×D4C2×#4114yes—
1287C2×D4H(5,𝔽2)14yes—
1288C2×D4H(5,𝔽2)14yes—
1289C2×D42−1+414yes—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—28no—
1298C22×C4—24no—
1299C22×C4—28no—
1300C22×C4—28no—
1301C22×C4—28no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—28no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—41no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—42no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—42no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—816no—
1353C22×C4—832no—
1354C22×C4C2×#4118yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2514yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2514yes—
1377C22×C4C2514yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—28no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—28no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—28no—
1403C4⋊C4—28no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—41no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—44no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4C2×#4114yes—
1445C22⋊C4—24no—
1446C22⋊C4—28no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—28no—
1455C22⋊C4—28no—
1456C22⋊C4—22no—
1457C22⋊C4—28no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—28no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—28no—
1471C22⋊C4—22no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—28no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—41no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4C2×#4118yes—
1512C22⋊C4H(5,𝔽2)14yes—
1513C42—22no—
1514C42—22no—
1515C42—22no—
1516C42—24no—
1517C42—22no—
1518C42—22no—
1519C42—24no—
1520C42—24no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—24no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—24no—
1530C42—22no—
1531C42—22no—
1532C42—42no—
1533C42—42no—
1534C42—42no—
1535C42—42no—
1536C42—42no—
1537C42—42no—
1538C42—41no—
1539C42—44no—
1540C42—44no—
1541C42—44no—
1542C42C2×#4114yes—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—21no—
1549C23—22no—
1550C23—21no—
1551C23—22no—
1552C23—21no—
1553C23—21no—
1554C23—22no—
1555C23—22no—
1556C23—21no—
1557C23—21no—
1558C23—22no—
1559C23—22no—
1560C23—24no—
1561C23—22no—
1562C23—24no—
1563C23—22no—
1564C23—24no—
1565C23—24no—
1566C23—22no—
1567C23—22no—
1568C23—24no—
1569C23—24no—
1570C23—22no—
1571C23—24no—
1572C23—22no—
1573C23—416no—
1574C23—416no—
1575C23—48no—
1576C23—48no—
1577C23—416no—
1578C23—48no—
1579C23—48no—
1580C23—416no—
1581C23—84no—
1582C23—88no—
1583C23—84no—
1584C23—88no—
1585C23—84no—
1586C23—88no—
1587C23C22×#4114yes—
1588C23C2×H(5,𝔽2)12yes—
1589C23C2×H(5,𝔽2)14yes—
1590C23C2×H(5,𝔽2)14yes—
1591C23C2×2−1+414yes—
1592C23C2611yescharacteristic
1593Q8—44no—
1594Q8—84no—
1595Q8—84no—
1596Q8—164no—
1597D4—28no—
1598D4—416no—
1599D4—48no—
1600D4—48no—
1601D4—416no—
1602D4—44no—
1603D4—48no—
1604D4—48no—
1605D4—84no—
1606D4—88no—
1607D4—88no—
1608D4—88no—
1609D4—164no—
1610D4#542116yescomplemented
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—216no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—24no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—24no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—48no—
1692C2×C4—48no—
1693C2×C4—44no—
1694C2×C4—48no—
1695C2×C4—48no—
1696C2×C4—44no—
1697C2×C4—48no—
1698C2×C4—48no—
1699C2×C4—44no—
1700C2×C4—88no—
1701C2×C4—84no—
1702C2×C4—84no—
1703C2×C4—84no—
1704C2×C4—88no—
1705C2×C4—88no—
1706C2×C4—88no—
1707C2×C4—84no—
1708C2×C4—88no—
1709C2×C4—84no—
1710C2×C4—88no—
1711C2×C4C22×#4112yes—
1712C2×C4C22×#4114yes—
1713C2×C4C22×#4112yes—
1714C2×C4C22×#4112yes—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4C2×H(5,𝔽2)12yes—
1717C2×C4C2×H(5,𝔽2)12yes—
1718C2×C4C2×H(5,𝔽2)12yes—
1719C2×C4C2×2−1+412yes—
1720C2×C4#58512yes—
1721C2×C4#58512yes—
1722C22—24no—
1723C22—24no—
1724C22—24no—
1725C22—24no—
1726C22—24no—
1727C22—24no—
1728C22—24no—
1729C22—22no—
1730C22—22no—
1731C22—24no—
1732C22—24no—
1733C22—22no—
1734C22—42no—
1735C22—41no—
1736C22—42no—
1737C22—41no—
1738C22—41no—
1739C22—42no—
1740C22—42no—
1741C22—41no—
1742C22—44no—
1743C22—42no—
1744C22—42no—
1745C22—44no—
1746C22—44no—
1747C22—42no—
1748C22—42no—
1749C22—44no—
1750C22—42no—
1751C22—44no—
1752C22—44no—
1753C22—42no—
1754C22—42no—
1755C22—44no—
1756C22—832no—
1757C22—816no—
1758C22C2×#54218yes—
1759C22C23×#4111yescharacteristic
1760C22C22×H(5,𝔽2)11yescharacteristic
1761C22C22×H(5,𝔽2)11yescharacteristic
1762C22C22×H(5,𝔽2)11yescharacteristic
1763C22C22×2−1+411yescharacteristic
1764C22C2×#58511yescharacteristic
1765C22C2×#58511yescharacteristic
1766C4—22no—
1767C4—22no—
1768C4—22no—
1769C4—24no—
1770C4—22no—
1771C4—42no—
1772C4—42no—
1773C4—44no—
1774C4—42no—
1775C4—44no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—42no—
1780C4—42no—
1781C4—41no—
1782C4—42no—
1783C4—41no—
1784C4—42no—
1785C4—42no—
1786C4—42no—
1787C4—41no—
1788C4—42no—
1789C4—41no—
1790C4—42no—
1791C4—44no—
1792C4—41no—
1793C4—42no—
1794C4C2×#54214yes—
1795C4#351314yes—
1796C2—28no—
1797C2—44no—
1798C2—42no—
1799C2—84no—
1800C2—82no—
1801C2C22×#54211yescharacteristic
1802C2C2×#351311yescharacteristic
1803C2#6280011yescharacteristic
1804C2#6301111yescharacteristic
1805C2#6301311yescharacteristic
1806C2#6301311yescharacteristic
1807C2#6301811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalD4×#121C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42545C2semidirect
2. #42537C2semidirect
3. #40813C2semidirect
4. #40785C2semidirect
5. #40117C2semidirect
6. #39377C2semidirect
7. #39236C2semidirect
8. #39201C2semidirect
9. #39147C2semidirect
10. #38932C2semidirect
11. #38503C2semidirect
12. #38110C2semidirect
13. #37892C2semidirect
14. #37852C2semidirect
15. #37715C2semidirect
16. #37664C2semidirect
17. #37625C2semidirect
18. #37505C2semidirect
19. #36289C2semidirect
20. #36215C2semidirect
21. #36180C2semidirect
22. #36154C2semidirect
23. D4×#123C2semidirect
25. #35903C2semidirect
26. #35873C2semidirect
27. #35277C2semidirect
28. #35225C2semidirect
29. #35207C2semidirect
30. #35080C2semidirect
31. #34969C2semidirect
32. C2×#2422C2semidirect
33. #34332C2semidirect
34. C4×D42C2semidirect
35. #34126C2semidirect
40. C2×#542C22semidirect
41. C2×#542C22semidirect
42. C22×#123C22semidirect
46. C22×C4×D4C22semidirect
47. #2868C22semidirect
48. #2858C22semidirect
49. #2857C22semidirect
50. #2857C22semidirect
52. #2854C22semidirect
53. #2851C22semidirect
54. #2850C22semidirect
55. #2849C22semidirect
56. #2848C22semidirect
57. #2848C22semidirect
59. #2838C22semidirect
60. #2837C22semidirect
61. #2829C22semidirect
62. #2796C22semidirect
63. #2795C22semidirect
64. #2793C22semidirect
65. #2790C22semidirect
66. #2764C22semidirect
67. #2757C22semidirect
68. #2751C22semidirect
69. #2746C22semidirect
70. #2741C22semidirect
71. #2737C22semidirect
72. #2730C22semidirect
73. #2718C22semidirect
74. #2718C22semidirect
75. #2717C22semidirect
76. #2712C22semidirect
77. #2710C22semidirect
78. #2705C22semidirect
79. #2701C22semidirect
80. #2701C22semidirect
81. #2691C22semidirect
82. #2687C22semidirect
83. #2686C22semidirect
84. #2674C22semidirect
85. #2672C22semidirect
86. #2663C22semidirect
87. #2653C22semidirect
88. #2653C22semidirect
89. #2652C22semidirect
90. #2649C22semidirect
91. #2647C22semidirect
92. #2644C22semidirect
93. #2644C22semidirect
94. #2643C22semidirect
95. #2641C22semidirect
96. #2640C22semidirect
97. #2639C22semidirect
98. #2638C22semidirect
99. #2630C22semidirect
100. #2630C22semidirect
101. #2628C22semidirect
102. #2624C22semidirect
103. #2624C22semidirect
104. #2620C22semidirect
105. #2620C22semidirect
106. #2591C22semidirect
107. #2580C22semidirect
108. #2579C22semidirect
109. #2567C22semidirect
110. #2566C22semidirect
111. #2564C22semidirect
112. #2563C22semidirect
113. #2563C22semidirect
114. #2562C22semidirect
115. #2552C22semidirect
116. #2552C22semidirect
117. #2552C22semidirect
118. #2548C22semidirect
119. #2548C22semidirect
121. #2538C22semidirect
123. #2530C22semidirect
124. #2527C22semidirect
125. #2513C22semidirect
126. #2513C22semidirect
127. #2512C22semidirect
128. #2512C22semidirect
129. #2511C22semidirect
130. #2510C22semidirect
131. #2510C22semidirect
132. #2509C22semidirect
133. #2504C22semidirect
134. #2502C22semidirect
135. #2501C22semidirect
136. #2496C22semidirect
137. #2495C22semidirect
138. #2495C22semidirect
139. #2494C22semidirect
140. #2494C22semidirect
141. #2494C22semidirect
142. #2492C22semidirect
143. #2491C22semidirect
144. #2491C22semidirect
145. #2491C22semidirect
146. #2491C22semidirect
147. #2490C22semidirect
148. #2490C22semidirect
149. #2490C22semidirect
150. #2490C22semidirect
151. #2487C22semidirect
152. #2486C22semidirect
153. #2481C22semidirect
154. #2480C22semidirect
155. #2480C22semidirect
156. #2480C22semidirect
157. #2477C22semidirect
158. #2472C22semidirect
159. #2472C22semidirect
160. #2472C22semidirect
161. #2472C22semidirect
162. #2472C22semidirect
163. #2472C22semidirect
164. #2470C22semidirect
165. #2468C22semidirect
166. #2461C22semidirect
167. #2458C22semidirect
168. #2454C22semidirect
169. #2454C22semidirect
170. #2452C22semidirect
171. #2452C22semidirect
172. #2452C22semidirect
173. #2450C22semidirect
174. #2450C22semidirect
175. #2449C22semidirect
176. #2447C22semidirect
177. #2445C22semidirect
178. #2445C22semidirect
179. #2443C22semidirect
180. #2443C22semidirect
181. #2442C22semidirect
182. #2442C22semidirect
183. #2440C22semidirect
184. #2440C22semidirect
185. #2440C22semidirect
186. #2440C22semidirect
187. #2437C22semidirect
188. #2437C22semidirect
189. #2437C22semidirect
190. #2435C22semidirect
191. #2435C22semidirect
194. #2427C22semidirect
195. #2426C22semidirect
197. #2423C22semidirect
200. #2422C22semidirect
201. #2422C22semidirect
202. #2422C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2422C22semidirect
206. #2422C22semidirect
207. #2422C22semidirect
208. #2422C22semidirect
209. #2422C22semidirect
210. #2422C22semidirect
211. #2422C22semidirect
212. #2418C22semidirect
213. #2418C22semidirect
214. #2417C22semidirect
217. #2412C22semidirect
220. #2405C22semidirect
221. #2401C22semidirect
222. #2398C22semidirect
223. C2×#397C22semidirect
224. C2×#394C22semidirect
225. #2370C22semidirect
226. #2369C22semidirect
227. #2366C22semidirect
228. #2361C22semidirect
229. #2361C22semidirect
230. #2360C22semidirect
231. #2360C22semidirect
232. #2358C22semidirect
233. #2357C22semidirect
234. #2357C22semidirect
235. #2353C22semidirect
236. #2353C22semidirect
237. Q8×C4⋊C4C22semidirect
245. D4×C4⋊C4C22semidirect
246. #2345C22semidirect
247. #2345C22semidirect
248. #2345C22semidirect
249. #2342C22semidirect
250. #2342C22semidirect
258. D4×C22⋊C4C22semidirect
259. #2337C22semidirect
260. #2335C22semidirect
261. #2330C22semidirect
262. #2329C22semidirect
263. #2326C22semidirect
264. #2326C22semidirect
265. #2324C22semidirect
266. #2324C22semidirect
267. #2319C22semidirect
268. #2314C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×#127C22semidirect
272. C4×#124C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×#123C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#120C22semidirect
281. #2295C22semidirect
282. #2293C22semidirect
283. #2293C22semidirect
284. C2×#390C22semidirect
285. C2×#389C22semidirect
286. #2290C22semidirect
287. #2290C22semidirect
288. C2×#385C22semidirect
289. C2×#384C22semidirect
290. #2283C22semidirect
291. #2280C22semidirect
292. C2×#380C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C22⋊C4C22semidirect
1610. D4#542semidirect

Maximal subgroups

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

subgroupindex
#425452
#425372
#408132
#407852
#401172
#393772
#392362
#392012
#391472
#389322
#385032
#381102
#378922
#378522
#377152
#376642
#376252
#375052
#362892
#362152
#361802
#361542
D4×#1232
D4×#1212
#359032
#358732
#352772
#352252
#352072
#350802
#349692
C2×#24222
#343322
C4×D422
#341262