Finite Group Databasebeta

← #7654830

Subgroups — #7654830

Order 512.

6302 conjugacy classes of subgroups.

The subgroup lattice has 1903 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42073C214yesmaximal, complemented
2#42065C214yesmaximal, complemented
3#41962C214yesmaximal, complemented
4#39818C212yesmaximal, complemented
5#39282C212yesmaximal, complemented
6#39275C212yesmaximal, complemented
7#39270C212yesmaximal, complemented
8#38286C212yesmaximal, complemented
9#38110C212yesmaximal, complemented
10#37792C212yesmaximal, complemented
11#37775C212yesmaximal, complemented
12#37772C212yesmaximal, complemented
13#37694C212yesmaximal, complemented
14#37664C212yesmaximal, complemented
15#37662C212yesmaximal, complemented
16#37626C211yesmaximal, characteristic, complemented
17#37625C211yesmaximal, characteristic, complemented
18#37614C211yesmaximal, characteristic, complemented
19#36291C212yesmaximal, complemented
20#36123C212yesmaximal, complemented
21#36121C212yesmaximal, complemented
22#36107C212yesmaximal, complemented
23#35681C214yesmaximal, complemented
24#35239C211yesmaximal, characteristic, complemented
25#35236C211yesmaximal, characteristic, complemented
26#35198C211yesmaximal, characteristic, complemented
27#35197C211yesmaximal, characteristic, complemented
28#35171C211yesmaximal, characteristic, complemented
29#35171C211yesmaximal, characteristic, complemented
30#34934C211yesmaximal, characteristic, complemented
31#34925C211yesmaximal, characteristic, complemented
32C2×#2541C211yesmaximal, characteristic, complemented
33#34210C211yesmaximal, characteristic, complemented
34#34153C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#546C2214yes—
37C2×#542C2212yescomplemented
38C2×#540C2212yescomplemented
39C2×#540C2212yescomplemented
40C2×#532C2212yescomplemented
41C2×#532C2212yescomplemented
42C22×#127C2211yescharacteristic
43C22×#127C2212yes—
44C2×#529C2211yescharacteristic
45C2×#529C2212yescomplemented
46C22×#121C2212yes—
47C22×#121C2212yes—
48C2×#518C2212yes—
49C22×C4×D4C2211yescharacteristic
50#2860C2212yescomplemented
51#2858C2212yescomplemented
52#2857C2212yes—
53#2856C2212yescomplemented
54#2856C2212yescomplemented
55#2854C2212yescomplemented
56#2854C2212yescomplemented
57#2854C2212yescomplemented
58#2851C2212yes—
59#2850C2212yescomplemented
60#2848C2212yes—
61#2847C2212yes—
62#2829C2214yescomplemented
63#2828C2214yescomplemented
64#2818C2214yescomplemented
65#2803C2214yescomplemented
66#2803C2214yescomplemented
67#2797C2214yescomplemented
68#2796C2214yescomplemented
69#2751C2214yescomplemented
70#2733C2214yescomplemented
71#2730C2214yescomplemented
72#2714C2214yescomplemented
73#2714C2214yescomplemented
74#2710C2214yescomplemented
75#2709C2214yescomplemented
76#2709C2214yescomplemented
77#2705C2214yescomplemented
78#2703C2214yescomplemented
79#2701C2214yescomplemented
80#2699C2214yescomplemented
81#2691C2214yescomplemented
82#2688C2214yescomplemented
83#2686C2214yescomplemented
84#2682C2214yescomplemented
85#2673C2214yescomplemented
86#2673C2214yescomplemented
87#2672C2214yescomplemented
88#2671C2214yescomplemented
89#2666C2214yescomplemented
90#2662C2214yescomplemented
91#2661C2214yescomplemented
92#2661C2214yescomplemented
93#2657C2212yescomplemented
94#2648C2214yescomplemented
95#2644C2212yescomplemented
96#2641C2212yescomplemented
97#2641C2212yescomplemented
98#2636C2214yescomplemented
99#2635C2214yescomplemented
100#2630C2214yescomplemented
101#2624C2212yescomplemented
102#2624C2212yescomplemented
103#2624C2212yescomplemented
104#2620C2212yescomplemented
105#2619C2212yescomplemented
106#2619C2212yescomplemented
107#2619C2212yescomplemented
108#2619C2212yescomplemented
109#2613C2214yes—
110#2602C2214yescomplemented
111#2600C2214yescomplemented
112#2595C2214yescomplemented
113#2571C2211yescharacteristic, complemented
114#2570C2212yescomplemented
115#2562C2212yescomplemented
116#2559C2214yescomplemented
117#2555C2214yescomplemented
118#2555C2214yescomplemented
119#2554C2214yescomplemented
120#2552C2211yescharacteristic, complemented
121#2552C2211yescharacteristic, complemented
122#2551C2211yescharacteristic, complemented
123#2550C2212yescomplemented
124#2548C2211yescharacteristic, complemented
125#2548C2211yescharacteristic, complemented
126#2544C2214yescomplemented
127#2543C2214yescomplemented
128#2541C2214yes—
129#2541C2211yescharacteristic
130#2541C2211yescharacteristic
131#2541C2212yes—
132#2541C2212yes—
133#2541C2211yescharacteristic
134#2541C2212yes—
135#2541C2212yes—
136#2541C2211yescharacteristic
137#2541C2211yescharacteristic, complemented
138#2541C2211yescharacteristic, complemented
139#2540C2212yescomplemented
140#2538C2211yescharacteristic, complemented
141#2538C2211yescharacteristic, complemented
142#2537C2211yescharacteristic, complemented
143#2537C2211yescharacteristic, complemented
144#2516C2214yescomplemented
145#2513C2212yescomplemented
146#2512C2212yescomplemented
147#2491C2212yescomplemented
148#2491C2212yescomplemented
149#2491C2212yescomplemented
150#2490C2212yescomplemented
151#2490C2212yescomplemented
152#2490C2212yescomplemented
153#2487C2212yes—
154#2480C2214yes—
155#2480C2214yes—
156#2476C2214yescomplemented
157#2472C2214yes—
158#2471C2214yescomplemented
159#2467C2214yescomplemented
160#2464C2214yescomplemented
161#2464C2214yescomplemented
162#2464C2214yescomplemented
163#2461C2214yescomplemented
164#2459C2214yescomplemented
165#2457C2214yescomplemented
166#2456C2214yescomplemented
167#2456C2214yescomplemented
168#2455C2214yescomplemented
169#2454C2212yescomplemented
170#2452C2212yescomplemented
171#2445C2214yescomplemented
172#2445C2212yescomplemented
173#2445C2212yescomplemented
174#2445C2212yescomplemented
175#2445C2212yescomplemented
176#2444C2214yescomplemented
177#2442C2212yes—
178#2440C2212yes—
179#2438C2214yes—
180#2437C2214yes—
181#2435C2212yes—
182#2435C2214yes—
183#2433C2212yes—
184#2431C2214yescomplemented
185#2430C2214yescomplemented
186#2428C2214yescomplemented
187#2428C2212yescomplemented
188#2428C2212yescomplemented
189#2428C2212yescomplemented
190#2428C2212yescomplemented
191#2428C2212yescomplemented
192#2428C2212yescomplemented
193#2428C2212yescomplemented
194#2428C2212yescomplemented
195#2427C2212yescomplemented
196#2427C2212yescomplemented
197#2426C2212yescomplemented
198#2426C2212yescomplemented
199#2425C2214yescomplemented
200#2422C2212yescomplemented
201#2422C2212yescomplemented
202#2422C2212yescomplemented
203#2420C2212yescomplemented
204#2420C2212yescomplemented
205#2420C2212yescomplemented
206#2418C2214yes—
207#2414C2214yescomplemented
208#2412C2214yes—
209#2411C2214yes—
210#2410C2214yes—
211#2410C2214yes—
212#2408C2214yes—
213#2408C2212yes—
214#2408C2212yes—
215#2408C2212yes—
216#2407C2214yescomplemented
217#2405C2214yes—
218#2405C2214yes—
219#2392C2214yescomplemented
220#2388C2214yescomplemented
221C2×#392C2214yes—
222#2373C2212yescomplemented
223#2373C2212yescomplemented
224#2370C2211yescharacteristic, complemented
225#2370C2211yescharacteristic, complemented
226#2367C2211yescharacteristic, complemented
227#2367C2211yescharacteristic, complemented
228#2366C2212yescomplemented
229#2366C2212yescomplemented
230#2366C2212yescomplemented
231#2366C2212yescomplemented
232#2361C2211yescharacteristic
233#2361C2211yescharacteristic
234#2360C2211yescharacteristic
235#2360C2211yescharacteristic
236#2359C2212yes—
237#2359C2212yes—
238#2358C2214yes—
239#2357C2211yescharacteristic, complemented
240#2357C2211yescharacteristic, complemented
241#2353C2212yescomplemented
242#2353C2212yescomplemented
243#2349C2211yescharacteristic, complemented
244#2349C2211yescharacteristic, complemented
245#2345C2211yescharacteristic
246#2345C2211yescharacteristic
247#2342C2214yes—
248#2342C2212yes—
249#2342C2212yes—
250D4×C22⋊C4C2214yes—
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2211yescharacteristic
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2211yescharacteristic
256D4×C22⋊C4C2212yes—
257#2331C2212yescomplemented
258#2330C2212yescomplemented
259#2328C2212yescomplemented
260#2328C2212yescomplemented
261#2328C2212yescomplemented
262#2324C2212yescomplemented
263#2324C2212yescomplemented
264#2324C2212yescomplemented
265#2324C2212yescomplemented
266#2324C2212yescomplemented
267#2319C2212yescomplemented
268#2309C2212yes—
269C4×#127C2212yescomplemented
270C4×#127C2211yescharacteristic, complemented
271C4×#127C2211yescharacteristic, complemented
272C4×#127C2211yescharacteristic, complemented
273C4×#127C2211yescharacteristic, complemented
274C4×#121C2212yescomplemented
275C4×#121C2212yescomplemented
276C4×#121C2212yescomplemented
277#2298C2212yescomplemented
278#2296C2212yescomplemented
279#2295C2211yescharacteristic, complemented
280#2293C2211yescharacteristic, complemented
281#2293C2211yescharacteristic, complemented
282#2293C2211yescharacteristic, complemented
283#2293C2212yescomplemented
284C2×#390C2212yes—
285#2290C2212yes—
286#2290C2212yescomplemented
287#2290C2212yescomplemented
288#2285C2211yescharacteristic
289#2283C2211yescharacteristic
290#2280C2212yes—
291C42×Q8C2211yescharacteristic, complemented
292C42×D4C2212yes—
293C42×D4C2211yescharacteristic, complemented
294C42×D4C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2314yes—
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2314yes—
305C23×D4C2314yes—
306C24×C4C2312yes—
307#546—416no—
308#542—48no—
309#540—48no—
310#540—48no—
311#532—48no—
312#532—48no—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×#127—28no—
316C2×#127—48no—
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2314yes—
329C2×#127C2314yes—
330#529—28no—
331#529—48no—
332C2×#126C2312yes—
333C2×#126C2314yes—
334C2×#126C2314yes—
335C2×#125C2311yescharacteristic
336C2×#125C2312yes—
337C2×#125C2312yes—
338C2×#124C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2314yes—
341C2×#124C2314yes—
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#124C2314yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×#121—48no—
360C2×#121—48no—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394#518—48no—
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×D4—28no—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2314yes—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2314yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2312yes—
433C2×#117C2312yes—
434C2×#117C2311yescharacteristic
435C2×#117C2311yescharacteristic
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2314yes—
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2311yescharacteristic
444C22×C22⋊C4C2314yes—
445C22×C22⋊C4C2312yes—
446C22×C22⋊C4C2312yes—
447C22×C22⋊C4C2314yes—
448C22×C22⋊C4C2312yes—
449C22×C22⋊C4C2314yes—
450C22×C22⋊C4C2314yes—
451C22×C42C2312yes—
452C22×C42C2312yes—
453C22×C42C2312yes—
454C22×C42C2312yes—
455C22×C42C2311yescharacteristic
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#395C2314yes—
483#395C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
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#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#393C2314yes—
520#393C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#391C2314yes—
545#391C2314yes—
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2314yes—
564#390C2314yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2312yes—
577#390C2311yescharacteristic
578#390C2314yes—
579#390C2311yescharacteristic
580#390C2314yes—
581#390C2311yescharacteristic
582#390C2311yescharacteristic
583#390C2314yes—
584#390C2312yes—
585#390C2311yescharacteristic
586#390C2314yes—
587#390C2311yescharacteristic
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2314yes—
593#390C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2312yes—
616#389C2312yes—
617#389C2311yescharacteristic
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
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#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2312yes—
723#384C2312yes—
724#383C2312yes—
725#382C2311yescharacteristic
726#382C2312yes—
727#382C2312yes—
728#382C2312yes—
729#382C2311yescharacteristic
730#381C2314yes—
731#381C2312yes—
732#381C2314yes—
733#381C2312yes—
734#381C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#379C2314yes—
753#379C2314yes—
754#379C2314yes—
755#379C2312yes—
756#379C2312yes—
757#379C2314yes—
758#379C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
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⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814#376C2312yes—
815#376C2311yescharacteristic
816#376C2311yescharacteristic
817#376C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C43C2311yescharacteristic
822C43C2311yescharacteristic
823C43C2312yes—
824C25C2412yes—
825C25C2414yes—
826C2×#41—48no—
827C2×#41—48no—
828C2×#41—48no—
829C22×Q8C2411yescharacteristic
830C22×Q8C2414yes—
831C22×D4—24no—
832C22×D4—24no—
833C22×D4—28no—
834C22×D4—28no—
835C22×D4—28no—
836C22×D4—42no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—48no—
840C22×D4—48no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—48no—
846C22×D4—48no—
847C22×D4—48no—
848C22×D4—48no—
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2411yescharacteristic
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C23×C4—28no—
878C23×C4—44no—
879C23×C4—44no—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2414yes—
892C23×C4C2414yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2414yes—
900C23×C4C2412yes—
901C4⋊Q8—28no—
902C4⋊Q8—44no—
903#127—28no—
904#127—28no—
905#127—28no—
906#127—24no—
907#127—24no—
908#127—28no—
909#127—28no—
910#127—44no—
911#127—44no—
912#127—44no—
913#127—44no—
914#127—48no—
915#127—48no—
916#126—28no—
917#126—48no—
918#126—48no—
919#125—28no—
920#125—24no—
921#125—44no—
922#124—24no—
923#124—48no—
924#124—44no—
925#124—44no—
926#124—48no—
927#124—48no—
928#124—48no—
929#123—28no—
930#123—48no—
931#123—48no—
932#123—48no—
933#123—48no—
934#123—48no—
935#123—48no—
936#123—48no—
937#123—48no—
938C22⋊Q8—24no—
939C22⋊Q8—48no—
940C22⋊Q8—48no—
941C22⋊Q8—44no—
942C22⋊Q8—44no—
943#121—28no—
944#121—24no—
945#121—28no—
946#121—28no—
947#121—28no—
948#121—28no—
949#121—48no—
950#121—48no—
951#121—48no—
952#121—48no—
953#121—48no—
954#121—48no—
955#121—48no—
956#121—48no—
957#121—48no—
958#121—48no—
959#121—48no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—44no—
968#121—44no—
969#121—48no—
970#121—44no—
971#121—44no—
972#121—48no—
973#120—48no—
974#120—48no—
975#120—48no—
976C4×Q8—24no—
977C4×Q8—24no—
978C4×Q8—24no—
979C4×D4—24no—
980C4×D4—24no—
981C4×D4—28no—
982C4×D4—24no—
983C4×D4—24no—
984C4×D4—28no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—24no—
988C4×D4—24no—
989C4×D4—28no—
990C4×D4—28no—
991C4×D4—24no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—42no—
997C4×D4—42no—
998C4×D4—44no—
999C4×D4—48no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—48no—
1008C4×D4—48no—
1009C4×D4—48no—
1010C4×D4—48no—
1011C4×D4—44no—
1012C4×D4—48no—
1013#117—24no—
1014#117—28no—
1015#117—44no—
1016#117—44no—
1017#117—44no—
1018#117—48no—
1019#117—42no—
1020#117—44no—
1021C2×C4⋊C4—24no—
1022C2×C4⋊C4—24no—
1023C2×C4⋊C4—24no—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C22⋊C4—28no—
1075C2×C22⋊C4—216no—
1076C2×C22⋊C4—28no—
1077C2×C22⋊C4—48no—
1078C2×C22⋊C4—48no—
1079C2×C22⋊C4—44no—
1080C2×C22⋊C4—48no—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C42—44no—
1156C2×C42—44no—
1157C2×C42—44no—
1158C2×C42—44no—
1159C2×C42#4118yescomplemented
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2414yes—
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2412yes—
1183C2×C42C2412yes—
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246C24—24no—
1247C24—24no—
1248C24—24no—
1249C24—24no—
1250C24—28no—
1251C24—28no—
1252C24—28no—
1253C24—42no—
1254C24—42no—
1255C24—42no—
1256C24—44no—
1257C24—44no—
1258C24—44no—
1259C24—44no—
1260C24C2512yes—
1261C24C2514yes—
1262C24C2514yes—
1263C24C2512yes—
1264C24C2512yes—
1265C24C2511yescharacteristic
1266#41—832no—
1267C2×Q8—22no—
1268C2×Q8—22no—
1269C2×Q8—22no—
1270C2×Q8—28no—
1271C2×Q8—44no—
1272C2×Q8—44no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—28no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—28no—
1280C2×D4—28no—
1281C2×D4—28no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—28no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—28no—
1294C2×D4—28no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—28no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—28no—
1305C2×D4—22no—
1306C2×D4—28no—
1307C2×D4—28no—
1308C2×D4—22no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—22no—
1312C2×D4—416no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—42no—
1322C2×D4—432no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—816no—
1359C2×D4—816no—
1360C2×D4—832no—
1361C2×D4—832no—
1362C2×D4H(5,𝔽2)14yes—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—24no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—28no—
1391C22×C4—24no—
1392C22×C4—28no—
1393C22×C4—24no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—42no—
1399C22×C4—42no—
1400C22×C4—42no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—816no—
1424C22×C4C2×#4114yes—
1425C22×C4C2×#4114yes—
1426C22×C4C2×#4114yes—
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2512yes—
1432C22×C4C2512yes—
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2514yes—
1439C22×C4C2512yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2511yescharacteristic
1444C22×C4C2514yes—
1445C22×C4C2512yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C4⋊C4—24no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—22no—
1462C4⋊C4—24no—
1463C4⋊C4—22no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—28no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—28no—
1479C4⋊C4—28no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—41no—
1486C4⋊C4—41no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—44no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4H(5,𝔽2)14yes—
1505C4⋊C4H(5,𝔽2)14yes—
1506C22⋊C4—24no—
1507C22⋊C4—28no—
1508C22⋊C4—24no—
1509C22⋊C4—22no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—28no—
1513C22⋊C4—22no—
1514C22⋊C4—24no—
1515C22⋊C4—22no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—28no—
1525C22⋊C4—28no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—28no—
1529C22⋊C4—28no—
1530C22⋊C4—28no—
1531C22⋊C4—28no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—44no—
1549C22⋊C4—42no—
1550C22⋊C4—44no—
1551C22⋊C4—42no—
1552C22⋊C4—44no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4H(5,𝔽2)14yes—
1580C42—24no—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—24no—
1585C42—24no—
1586C42—24no—
1587C42—24no—
1588C42—22no—
1589C42—22no—
1590C42—22no—
1591C42—22no—
1592C42—24no—
1593C42—22no—
1594C42—24no—
1595C42—24no—
1596C42—22no—
1597C42—22no—
1598C42—42no—
1599C42—42no—
1600C42—42no—
1601C42—42no—
1602C42—42no—
1603C42—42no—
1604C42—42no—
1605C42—42no—
1606C42—41no—
1607C42—41no—
1608C42—44no—
1609C42—42no—
1610C42C2×#4114yes—
1611C42C2×#4114yes—
1612C42C2×#4114yes—
1613C42C2×#4114yes—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—24no—
1627C23—24no—
1628C23—22no—
1629C23—24no—
1630C23—24no—
1631C23—24no—
1632C23—22no—
1633C23—22no—
1634C23—24no—
1635C23—24no—
1636C23—22no—
1637C23—22no—
1638C23—24no—
1639C23—22no—
1640C23—22no—
1641C23—24no—
1642C23—24no—
1643C23—22no—
1644C23—24no—
1645C23—24no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—24no—
1650C23—24no—
1651C23—22no—
1652C23—48no—
1653C23—48no—
1654C23—48no—
1655C23—48no—
1656C23—416no—
1657C23—84no—
1658C23—84no—
1659C23—84no—
1660C23—88no—
1661C23—88no—
1662C23—88no—
1663C23—88no—
1664C23—88no—
1665C23—88no—
1666C23C22×#4112yes—
1667C23C2×H(5,𝔽2)14yes—
1668C23C2×H(5,𝔽2)12yes—
1669C23#58512yes—
1670C23C2611yescharacteristic
1671Q8—44no—
1672Q8—88no—
1673D4—28no—
1674D4—48no—
1675D4—416no—
1676D4—416no—
1677D4—48no—
1678D4—48no—
1679D4—416no—
1680D4—48no—
1681D4—44no—
1682D4—48no—
1683D4—48no—
1684D4—44no—
1685D4—48no—
1686D4—48no—
1687D4—88no—
1688D4—88no—
1689D4—88no—
1690D4—88no—
1691D4—88no—
1692D4—88no—
1693D4—88no—
1694D4—88no—
1695D4—88no—
1696D4—88no—
1697D4—88no—
1698D4—164no—
1699D4—164no—
1700D4—164no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—28no—
1718C2×C4—28no—
1719C2×C4—28no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—24no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—24no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—48no—
1778C2×C4—48no—
1779C2×C4—48no—
1780C2×C4—48no—
1781C2×C4—48no—
1782C2×C4—48no—
1783C2×C4—48no—
1784C2×C4—84no—
1785C2×C4—88no—
1786C2×C4—84no—
1787C2×C4—84no—
1788C2×C4—84no—
1789C2×C4—88no—
1790C2×C4—84no—
1791C2×C4—84no—
1792C2×C4—84no—
1793C2×C4—164no—
1794C2×C4—164no—
1795C2×C4C22×#4112yes—
1796C2×C4C22×#4112yes—
1797C2×C4C22×#4112yes—
1798C2×C4C22×#4112yes—
1799C2×C4C22×#4112yes—
1800C2×C4C22×#4112yes—
1801C2×C4C2×H(5,𝔽2)12yes—
1802C2×C4C2×H(5,𝔽2)12yes—
1803C2×C4C2×H(5,𝔽2)14yes—
1804C2×C4C2×H(5,𝔽2)14yes—
1805C2×C4C2×H(5,𝔽2)12yes—
1806C2×C4C2×H(5,𝔽2)12yes—
1807C2×C4C2×H(5,𝔽2)12yes—
1808C2×C4#58512yes—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—24no—
1816C22—24no—
1817C22—24no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—44no—
1824C22—44no—
1825C22—42no—
1826C22—42no—
1827C22—44no—
1828C22—42no—
1829C22—44no—
1830C22—44no—
1831C22—44no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—44no—
1836C22—42no—
1837C22—44no—
1838C22—42no—
1839C22—42no—
1840C22—44no—
1841C22—44no—
1842C22—42no—
1843C22—44no—
1844C22—44no—
1845C22—42no—
1846C22—44no—
1847C22—44no—
1848C22—42no—
1849C22—42no—
1850C22—816no—
1851C22—1616no—
1852C22#346014yes—
1853C22C23×#4111yescharacteristic
1854C22C22×H(5,𝔽2)11yescharacteristic
1855C22C22×H(5,𝔽2)11yescharacteristic
1856C22C22×H(5,𝔽2)11yescharacteristic
1857C22C22×H(5,𝔽2)11yescharacteristic
1858C22C2×#58511yescharacteristic
1859C22C2×#58511yescharacteristic
1860C4—22no—
1861C4—24no—
1862C4—24no—
1863C4—22no—
1864C4—22no—
1865C4—22no—
1866C4—22no—
1867C4—22no—
1868C4—42no—
1869C4—42no—
1870C4—44no—
1871C4—41no—
1872C4—42no—
1873C4—41no—
1874C4—41no—
1875C4—42no—
1876C4—44no—
1877C4—42no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—42no—
1882C4—42no—
1883C4—42no—
1884C4—42no—
1885C4—42no—
1886C4—42no—
1887C4#349414yes—
1888C4#350814yes—
1889C2—24no—
1890C2—44no—
1891C2—82no—
1892C2—82no—
1893C2—84no—
1894C2—84no—
1895C2C2×#346011yescharacteristic
1896C2C2×#349411yescharacteristic
1897C2C2×#350811yescharacteristic
1898C2#6301111yescharacteristic
1899C2#6301211yescharacteristic
1900C2#6301411yescharacteristic
1901C2#6301911yescharacteristic
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. #42073C2semidirect
2. #42065C2semidirect
3. #41962C2semidirect
4. #39818C2semidirect
5. #39282C2semidirect
6. #39275C2semidirect
7. #39270C2semidirect
8. #38286C2semidirect
9. #38110C2semidirect
10. #37792C2semidirect
11. #37775C2semidirect
12. #37772C2semidirect
13. #37694C2semidirect
14. #37664C2semidirect
15. #37662C2semidirect
16. #37626C2semidirect
17. #37625C2semidirect
18. #37614C2semidirect
19. #36291C2semidirect
20. #36123C2semidirect
21. #36121C2semidirect
22. #36107C2semidirect
23. #35681C2semidirect
24. #35239C2semidirect
25. #35236C2semidirect
26. #35198C2semidirect
27. #35197C2semidirect
28. #35171C2semidirect
29. #35171C2semidirect
30. #34934C2semidirect
31. #34925C2semidirect
32. C2×#2541C2semidirect
33. #34210C2semidirect
34. #34153C2semidirect
35. #34126C2semidirect
37. C2×#542C22semidirect
38. C2×#540C22semidirect
39. C2×#540C22semidirect
40. C2×#532C22semidirect
41. C2×#532C22semidirect
45. C2×#529C22semidirect
50. #2860C22semidirect
51. #2858C22semidirect
53. #2856C22semidirect
54. #2856C22semidirect
55. #2854C22semidirect
56. #2854C22semidirect
57. #2854C22semidirect
59. #2850C22semidirect
62. #2829C22semidirect
63. #2828C22semidirect
64. #2818C22semidirect
65. #2803C22semidirect
66. #2803C22semidirect
67. #2797C22semidirect
68. #2796C22semidirect
69. #2751C22semidirect
70. #2733C22semidirect
71. #2730C22semidirect
72. #2714C22semidirect
73. #2714C22semidirect
74. #2710C22semidirect
75. #2709C22semidirect
76. #2709C22semidirect
77. #2705C22semidirect
78. #2703C22semidirect
79. #2701C22semidirect
80. #2699C22semidirect
81. #2691C22semidirect
82. #2688C22semidirect
83. #2686C22semidirect
84. #2682C22semidirect
85. #2673C22semidirect
86. #2673C22semidirect
87. #2672C22semidirect
88. #2671C22semidirect
89. #2666C22semidirect
90. #2662C22semidirect
91. #2661C22semidirect
92. #2661C22semidirect
93. #2657C22semidirect
94. #2648C22semidirect
95. #2644C22semidirect
96. #2641C22semidirect
97. #2641C22semidirect
98. #2636C22semidirect
99. #2635C22semidirect
100. #2630C22semidirect
101. #2624C22semidirect
102. #2624C22semidirect
103. #2624C22semidirect
104. #2620C22semidirect
105. #2619C22semidirect
106. #2619C22semidirect
107. #2619C22semidirect
108. #2619C22semidirect
110. #2602C22semidirect
111. #2600C22semidirect
112. #2595C22semidirect
113. #2571C22semidirect
114. #2570C22semidirect
115. #2562C22semidirect
116. #2559C22semidirect
117. #2555C22semidirect
118. #2555C22semidirect
119. #2554C22semidirect
120. #2552C22semidirect
121. #2552C22semidirect
122. #2551C22semidirect
123. #2550C22semidirect
124. #2548C22semidirect
125. #2548C22semidirect
126. #2544C22semidirect
127. #2543C22semidirect
137. #2541C22semidirect
138. #2541C22semidirect
139. #2540C22semidirect
140. #2538C22semidirect
141. #2538C22semidirect
142. #2537C22semidirect
143. #2537C22semidirect
144. #2516C22semidirect
145. #2513C22semidirect
146. #2512C22semidirect
147. #2491C22semidirect
148. #2491C22semidirect
149. #2491C22semidirect
150. #2490C22semidirect
151. #2490C22semidirect
152. #2490C22semidirect
156. #2476C22semidirect
158. #2471C22semidirect
159. #2467C22semidirect
160. #2464C22semidirect
161. #2464C22semidirect
162. #2464C22semidirect
163. #2461C22semidirect
164. #2459C22semidirect
165. #2457C22semidirect
166. #2456C22semidirect
167. #2456C22semidirect
168. #2455C22semidirect
169. #2454C22semidirect
170. #2452C22semidirect
171. #2445C22semidirect
172. #2445C22semidirect
173. #2445C22semidirect
174. #2445C22semidirect
175. #2445C22semidirect
176. #2444C22semidirect
184. #2431C22semidirect
185. #2430C22semidirect
186. #2428C22semidirect
187. #2428C22semidirect
188. #2428C22semidirect
189. #2428C22semidirect
190. #2428C22semidirect
191. #2428C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
194. #2428C22semidirect
195. #2427C22semidirect
196. #2427C22semidirect
197. #2426C22semidirect
198. #2426C22semidirect
199. #2425C22semidirect
200. #2422C22semidirect
201. #2422C22semidirect
202. #2422C22semidirect
203. #2420C22semidirect
204. #2420C22semidirect
205. #2420C22semidirect
207. #2414C22semidirect
216. #2407C22semidirect
219. #2392C22semidirect
220. #2388C22semidirect
222. #2373C22semidirect
223. #2373C22semidirect
224. #2370C22semidirect
225. #2370C22semidirect
226. #2367C22semidirect
227. #2367C22semidirect
228. #2366C22semidirect
229. #2366C22semidirect
230. #2366C22semidirect
231. #2366C22semidirect
239. #2357C22semidirect
240. #2357C22semidirect
241. #2353C22semidirect
242. #2353C22semidirect
243. #2349C22semidirect
244. #2349C22semidirect
257. #2331C22semidirect
258. #2330C22semidirect
259. #2328C22semidirect
260. #2328C22semidirect
261. #2328C22semidirect
262. #2324C22semidirect
263. #2324C22semidirect
264. #2324C22semidirect
265. #2324C22semidirect
266. #2324C22semidirect
267. #2319C22semidirect
269. C4×#127C22semidirect
270. C4×#127C22semidirect
271. C4×#127C22semidirect
272. C4×#127C22semidirect
273. C4×#127C22semidirect
274. C4×#121C22semidirect
275. C4×#121C22semidirect
276. C4×#121C22semidirect
277. #2298C22semidirect
278. #2296C22semidirect
279. #2295C22semidirect
280. #2293C22semidirect
281. #2293C22semidirect
282. #2293C22semidirect
283. #2293C22semidirect
286. #2290C22semidirect
287. #2290C22semidirect
291. C42×Q8C22semidirect
293. C42×D4C22semidirect
294. C42×D4C22semidirect
295. C42×D4C22semidirect
1159. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#420732
#420652
#419622
#398182
#392822
#392752
#392702
#382862
#381102
#377922
#377752
#377722
#376942
#376642
#376622
#376262
#376252
#376142
#362912
#361232
#361212
#361072
#356812
#352392
#352362
#351982
#351972
#351712
#349342
#349252
C2×#25412
#342102
#341532
#341262