Finite Group Databasebeta

← #8466979

Subgroups — #8466979

Order 512.

5485 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59646C211yesmaximal, characteristic, complemented
2#59124C211yesmaximal, characteristic, complemented
3#59078C211yesmaximal, characteristic, complemented
4#57125C214yesmaximal, complemented
5#55033C214yesmaximal, complemented
6#54921C214yesmaximal, complemented
7#53057C212yesmaximal, complemented
8#52995C212yesmaximal, complemented
9#47994C214yesmaximal, complemented
10#46061C212yesmaximal, complemented
11#45645C212yesmaximal, complemented
12#45108C212yesmaximal, complemented
13#45079C212yesmaximal, complemented
14#42966C212yesmaximal, complemented
15#42892C212yesmaximal, complemented
16#42586C212yesmaximal, complemented
17#42528C212yesmaximal, complemented
18#40049C212yesmaximal, complemented
19#39885C212yesmaximal, complemented
20#39351C211yesmaximal, characteristic, complemented
21#39202C211yesmaximal, characteristic, complemented
22#39127C211yesmaximal, characteristic, complemented
23#39069C212yesmaximal, complemented
24#38940C211yesmaximal, characteristic, complemented
25#37669C212yesmaximal, complemented
26#37614C211yesmaximal, characteristic, complemented
27#37305C212yesmaximal, complemented
28#37283C212yesmaximal, complemented
29#36583C211yesmaximal, characteristic, complemented
30#36121C211yesmaximal, characteristic, complemented
31#36101C211yesmaximal, characteristic, complemented
32#35198C211yesmaximal, characteristic, complemented
33#35165C211yesmaximal, characteristic, complemented
34#34898C211yesmaximal, characteristic, complemented
35#34700C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic, complemented
37C2×#550C2211yescharacteristic
38C2×#546C2212yes—
39C2×#546C2212yescomplemented
40C2×#542C2212yescomplemented
41C2×#542C2212yescomplemented
42C2×#535C2212yescomplemented
43C2×#532C2211yescharacteristic
44C22×#127C2211yescharacteristic, complemented
45C2×#529C2211yescharacteristic
46C2×#525C2212yescomplemented
47C22×C4×D4C2211yescharacteristic, complemented
48#2860C2212yescomplemented
49#2858C2211yescharacteristic, complemented
50#2858C2212yescomplemented
51#2858C2212yescomplemented
52#2857C2211yescharacteristic, complemented
53#2856C2211yescharacteristic
54#2847C2212yescomplemented
55#2847C2212yescomplemented
56#2847C2212yescomplemented
57#2829C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2826C2214yescomplemented
61#2824C2214yescomplemented
62#2818C2214yescomplemented
63#2816C2214yescomplemented
64#2813C2214yescomplemented
65#2803C2214yescomplemented
66#2803C2214yescomplemented
67#2797C2214yescomplemented
68#2775C2214yescomplemented
69#2756C2214yescomplemented
70#2756C2214yescomplemented
71#2756C2214yescomplemented
72#2753C2214yescomplemented
73#2753C2214yescomplemented
74#2752C2214yescomplemented
75#2749C2214yescomplemented
76#2749C2214yescomplemented
77#2741C2214yescomplemented
78#2741C2214yescomplemented
79#2737C2214yescomplemented
80#2730C2214yescomplemented
81#2725C2214yescomplemented
82#2723C2214yescomplemented
83#2714C2214yescomplemented
84#2714C2214yescomplemented
85#2711C2214yescomplemented
86#2708C2214yescomplemented
87#2708C2214yescomplemented
88#2707C2214yescomplemented
89#2706C2214yescomplemented
90#2705C2214yescomplemented
91#2701C2214yescomplemented
92#2697C2214yescomplemented
93#2696C2214yescomplemented
94#2695C2214yescomplemented
95#2687C2214yescomplemented
96#2685C2214yescomplemented
97#2685C2214yescomplemented
98#2685C2214yescomplemented
99#2684C2214yes—
100#2684C2214yescomplemented
101#2681C2214yescomplemented
102#2679C2214yes—
103#2679C2214yes—
104#2678C2214yescomplemented
105#2678C2214yescomplemented
106#2678C2214yescomplemented
107#2678C2214yescomplemented
108#2676C2214yescomplemented
109#2676C2214yescomplemented
110#2673C2214yescomplemented
111#2672C2214yescomplemented
112#2670C2214yescomplemented
113#2670C2214yescomplemented
114#2662C2214yescomplemented
115#2661C2214yescomplemented
116#2657C2212yes—
117#2648C2214yescomplemented
118#2648C2214yescomplemented
119#2641C2212yescomplemented
120#2640C2212yescomplemented
121#2630C2214yescomplemented
122#2629C2212yescomplemented
123#2624C2212yescomplemented
124#2624C2212yescomplemented
125#2619C2212yescomplemented
126#2619C2212yescomplemented
127#2617C2214yes—
128#2617C2214yescomplemented
129#2613C2214yescomplemented
130#2602C2214yescomplemented
131#2602C2214yescomplemented
132#2578C2214yescomplemented
133#2577C2212yescomplemented
134#2575C2212yescomplemented
135#2570C2211yescharacteristic, complemented
136#2565C2211yescharacteristic, complemented
137#2563C2212yescomplemented
138#2562C2211yescharacteristic
139#2562C2212yescomplemented
140#2553C2214yescomplemented
141#2551C2211yescharacteristic, complemented
142#2548C2212yescomplemented
143#2548C2212yescomplemented
144#2548C2211yescharacteristic, complemented
145#2548C2211yescharacteristic, complemented
146#2548C2212yescomplemented
147#2548C2211yescharacteristic, complemented
148#2547C2211yescharacteristic, complemented
149#2547C2212yescomplemented
150#2547C2211yescharacteristic, complemented
151#2545C2212yescomplemented
152#2545C2212yescomplemented
153#2544C2212yescomplemented
154#2544C2212yescomplemented
155#2544C2212yescomplemented
156#2544C2212yescomplemented
157#2542C2212yescomplemented
158#2541C2212yes—
159#2541C2211yescharacteristic
160#2541C2211yescharacteristic
161#2541C2211yescharacteristic
162#2539C2214yes—
163#2538C2211yescharacteristic, complemented
164#2538C2212yescomplemented
165#2537C2212yescomplemented
166#2537C2212yescomplemented
167#2536C2211yescharacteristic
168#2535C2214yescomplemented
169#2534C2214yes—
170#2524C2212yescomplemented
171#2513C2212yescomplemented
172#2512C2212yescomplemented
173#2500C2212yescomplemented
174#2496C2211yescharacteristic, complemented
175#2495C2212yescomplemented
176#2495C2211yescharacteristic, complemented
177#2492C2212yescomplemented
178#2491C2212yescomplemented
179#2491C2212yescomplemented
180#2490C2212yescomplemented
181#2490C2214yescomplemented
182#2490C2212yescomplemented
183#2490C2212yescomplemented
184#2490C2212yescomplemented
185#2490C2212yescomplemented
186#2490C2214yescomplemented
187#2485C2212yescomplemented
188#2480C2214yescomplemented
189#2480C2212yescomplemented
190#2472C2214yescomplemented
191#2468C2212yes—
192#2468C2212yescomplemented
193#2467C2214yescomplemented
194#2461C2214yescomplemented
195#2460C2214yescomplemented
196#2459C2214yescomplemented
197#2457C2212yes—
198#2457C2214yescomplemented
199#2456C2214yescomplemented
200#2454C2211yescharacteristic, complemented
201#2454C2212yescomplemented
202#2453C2212yescomplemented
203#2452C2212yescomplemented
204#2452C2212yescomplemented
205#2448C2212yescomplemented
206#2448C2212yescomplemented
207#2448C2212yescomplemented
208#2447C2212yescomplemented
209#2447C2211yescharacteristic, complemented
210#2445C2212yescomplemented
211#2445C2212yescomplemented
212#2445C2212yescomplemented
213#2445C2212yescomplemented
214#2445C2212yescomplemented
215#2445C2212yescomplemented
216#2442C2211yescharacteristic, complemented
217#2439C2212yescomplemented
218#2437C2214yescomplemented
219#2435C2212yescomplemented
220#2435C2212yescomplemented
221#2435C2211yescharacteristic, complemented
222#2433C2212yes—
223#2433C2212yes—
224#2433C2212yescomplemented
225#2432C2212yescomplemented
226#2431C2212yes—
227#2431C2212yescomplemented
228#2429C2212yescomplemented
229#2428C2212yes—
230#2428C2212yes—
231#2428C2212yescomplemented
232#2427C2211yescharacteristic
233#2427C2214yescomplemented
234#2426C2212yes—
235#2426C2212yes—
236#2426C2212yescomplemented
237#2426C2212yescomplemented
238#2424C2214yescomplemented
239#2423C2211yescharacteristic, complemented
240#2422C2212yescomplemented
241#2422C2212yescomplemented
242#2421C2211yescharacteristic, complemented
243#2420C2211yescharacteristic
244#2420C2212yescomplemented
245#2418C2212yes—
246#2417C2211yescharacteristic
247#2414C2212yescomplemented
248#2410C2214yescomplemented
249#2408C2212yes—
250#2408C2212yes—
251#2408C2211yescharacteristic
252#2408C2212yescomplemented
253#2408C2212yescomplemented
254#2408C2212yescomplemented
255#2407C2212yescomplemented
256#2402C2212yescomplemented
257#2395C2212yes—
258#2395C2212yescomplemented
259#2392C2212yes—
260#2375C2214yescomplemented
261#2367C2212yescomplemented
262#2367C2212yescomplemented
263#2366C2212yescomplemented
264#2366C2211yescharacteristic, complemented
265#2365C2211yescharacteristic, complemented
266#2363C2212yescomplemented
267#2361C2212yescomplemented
268#2354C2211yescharacteristic, complemented
269Q8×C4⋊C4C2211yescharacteristic, complemented
270#2341C2212yescomplemented
271#2341C2212yescomplemented
272#2341C2212yescomplemented
273D4×C22⋊C4C2212yescomplemented
274D4×C22⋊C4C2212yescomplemented
275D4×C22⋊C4C2212yescomplemented
276#2324C2212yescomplemented
277#2324C2212yescomplemented
278#2323C2212yescomplemented
279#2321C2214yescomplemented
280#2320C2212yescomplemented
281#2311C2212yescomplemented
282C4×#127C2211yescharacteristic, complemented
283C4×#125C2211yescharacteristic, complemented
284C4×#126C2212yescomplemented
285C4×#124C2212yescomplemented
286C4×#124C2211yescharacteristic, complemented
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic
291C4×#120C2212yes—
292#2298C2212yescomplemented
293#2293C2211yescharacteristic, complemented
294#2285C2211yescharacteristic, complemented
295#2283C2211yescharacteristic, complemented
296#2280C2212yescomplemented
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C24×C4C2312yes—
306#557—44no—
307#550—44no—
308#546—48no—
309#546—48no—
310#542—48no—
311#542—48no—
312#535—48no—
313#532—44no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×#127—44no—
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328#529—44no—
329C2×#126C2312yes—
330C2×#126C2312yes—
331C2×#126C2314yes—
332C2×#126C2314yes—
333C2×#125C2311yescharacteristic
334C2×#125C2312yes—
335C2×#125C2311yescharacteristic
336C2×#125C2314yes—
337C2×#124C2312yes—
338C2×#124C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2311yescharacteristic
346C2×#124C2314yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#124C2314yes—
350#525—48no—
351C2×#123C2314yes—
352C2×#123C2312yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2311yescharacteristic
380C2×#121C2311yescharacteristic
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2312yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2312yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2312yes—
405C2×C4×D4—44no—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C22×C4⋊C4C2311yescharacteristic
432C22×C22⋊C4C2314yes—
433C22×C22⋊C4C2314yes—
434C22×C22⋊C4C2312yes—
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437#400C2312yes—
438#400C2314yes—
439#400C2312yes—
440#400C2312yes—
441#400C2312yes—
442#400C2312yes—
443#400C2312yes—
444#400C2314yes—
445#399C2312yes—
446#399C2314yes—
447#399C2314yes—
448#399C2312yes—
449#399C2314yes—
450#399C2314yes—
451#398C2312yes—
452#398C2314yes—
453#398C2312yes—
454#398C2312yes—
455#398C2314yes—
456#398C2312yes—
457#398C2312yes—
458#398C2312yes—
459#398C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2312yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2312yes—
479#397C2314yes—
480#397C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#396C2314yes—
492#396C2314yes—
493#395C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
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#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2312yes—
529#394C2312yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2312yes—
534#394C2312yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2312yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#391C2311yescharacteristic
564#391C2311yescharacteristic
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2311yescharacteristic
570#391C2311yescharacteristic
571#391C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2312yes—
584#390C2314yes—
585#390C2312yes—
586#390C2314yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2314yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2314yes—
600#390C2314yes—
601#390C2312yes—
602#390C2314yes—
603#390C2311yescharacteristic
604#390C2312yes—
605#390C2312yes—
606#390C2314yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2314yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2311yescharacteristic
616#390C2314yes—
617#390C2311yescharacteristic
618#390C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2312yes—
626#389C2314yes—
627#389C2312yes—
628#389C2312yes—
629#389C2314yes—
630#389C2314yes—
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2314yes—
685#387C2312yes—
686#387C2314yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#385C2312yes—
717#385C2314yes—
718#385C2312yes—
719#385C2314yes—
720#385C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2314yes—
725#385C2314yes—
726#385C2312yes—
727#385C2312yes—
728#385C2314yes—
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2312yes—
733#383C2312yes—
734#383C2312yes—
735#383C2314yes—
736#382C2311yescharacteristic
737#382C2314yes—
738#382C2311yescharacteristic
739#382C2311yescharacteristic
740#382C2312yes—
741#382C2311yescharacteristic
742#381C2314yes—
743#381C2312yes—
744#381C2312yes—
745#381C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2314yes—
765#380C2314yes—
766#380C2314yes—
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#379C2314yes—
773#379C2314yes—
774#379C2314yes—
775#379C2314yes—
776#379C2314yes—
777#379C2312yes—
778#379C2312yes—
779#379C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819#376C2312yes—
820C43C2312yes—
821C43C2311yescharacteristic
822C25C2414yes—
823C25C2412yes—
824C2×#41—28no—
825C2×#41—28no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2414yes—
834C22×D4—24no—
835C22×D4—42no—
836C22×D4—42no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—82no—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C23×C4—44no—
872C23×C4—44no—
873C23×C4—44no—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2412yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C4⋊Q8—24no—
890C4⋊Q8—44no—
891C4⋊Q8—44no—
892C4⋊Q8—44no—
893#127—24no—
894#127—24no—
895#127—44no—
896#127—44no—
897#127—44no—
898#127—44no—
899#127—44no—
900#127—44no—
901#127—44no—
902#126—44no—
903#126—48no—
904#126—44no—
905#126—48no—
906#125—42no—
907#125—42no—
908#125—44no—
909#125—48no—
910#124—28no—
911#124—48no—
912#124—44no—
913#124—42no—
914#124—44no—
915#124—42no—
916#124—44no—
917#124—44no—
918#124—44no—
919#124—44no—
920#124—44no—
921#124—48no—
922#124—84no—
923#123—48no—
924#123—48no—
925#123—44no—
926#123—48no—
927#123—48no—
928#123—48no—
929#123—84no—
930C22⋊Q8—24no—
931C22⋊Q8—28no—
932C22⋊Q8—24no—
933C22⋊Q8—24no—
934C22⋊Q8—48no—
935C22⋊Q8—48no—
936C22⋊Q8—42no—
937C22⋊Q8—44no—
938C22⋊Q8—84no—
939#121—28no—
940#121—48no—
941#121—48no—
942#121—48no—
943#121—42no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—42no—
950#121—44no—
951#121—44no—
952#121—48no—
953#121—48no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—84no—
958#121—82no—
959#120—48no—
960#120—48no—
961#120—48no—
962#120—48no—
963#120—48no—
964#120—48no—
965#120—44no—
966#120—48no—
967#120—84no—
968#120—84no—
969C4×Q8—24no—
970C4×Q8—24no—
971C4×Q8—24no—
972C4×Q8—42no—
973C4×Q8—44no—
974C4×Q8—44no—
975C4×Q8—44no—
976C4×Q8—44no—
977C4×D4—24no—
978C4×D4—24no—
979C4×D4—24no—
980C4×D4—44no—
981C4×D4—42no—
982C4×D4—42no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—42no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—48no—
995C4×D4—48no—
996C4×D4—42no—
997C4×D4—82no—
998#117—28no—
999#117—44no—
1000#117—44no—
1001#117—44no—
1002C2×C4⋊C4—42no—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C22⋊C4—44no—
1059C2×C22⋊C4—48no—
1060C2×C22⋊C4—48no—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C42—24no—
1141C2×C42—24no—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2414yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2414yes—
1163C2×C42C2414yes—
1164C2×C42C2412yes—
1165C2×C42C2414yes—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2411yescharacteristic
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225C24—24no—
1226C24—28no—
1227C24—42no—
1228C24—42no—
1229C24—42no—
1230C24—42no—
1231C24—42no—
1232C24—42no—
1233C24—44no—
1234C24—44no—
1235C24—44no—
1236C24—44no—
1237C24—44no—
1238C24—44no—
1239C24C2514yes—
1240C24C2512yes—
1241C24C2514yes—
1242C24C2512yes—
1243C24C2511yescharacteristic
1244C24C2511yescharacteristic
1245#41—816no—
1246#41—816no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—24no—
1251C2×Q8—24no—
1252C2×Q8—22no—
1253C2×Q8—24no—
1254C2×Q8—22no—
1255C2×Q8—44no—
1256C2×Q8—44no—
1257C2×Q8—44no—
1258C2×Q8H(5,𝔽2)14yes—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—28no—
1262C2×D4—28no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—28no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—22no—
1287C2×D4—42no—
1288C2×D4—41no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—416no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
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—816no—
1336C2×D4—816no—
1337C2×D4—816no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—28no—
1359C22×C4—28no—
1360C22×C4—41no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—816no—
1383C22×C4H(5,𝔽2)14yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2514yes—
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2514yes—
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—28no—
1427C4⋊C4—22no—
1428C4⋊C4—24no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—41no—
1445C4⋊C4—41no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—22no—
1471C22⋊C4—24no—
1472C22⋊C4—22no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—22no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—28no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—28no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—44no—
1546C22⋊C4—42no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—24no—
1554C42—24no—
1555C42—22no—
1556C42—24no—
1557C42—24no—
1558C42—22no—
1559C42—24no—
1560C42—24no—
1561C42—22no—
1562C42—24no—
1563C42—22no—
1564C42—44no—
1565C42—41no—
1566C42—41no—
1567C42—42no—
1568C42—44no—
1569C42—44no—
1570C42—44no—
1571C42—42no—
1572C42—42no—
1573C42H(5,𝔽2)14yes—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—24no—
1587C23—22no—
1588C23—24no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—24no—
1595C23—24no—
1596C23—24no—
1597C23—24no—
1598C23—22no—
1599C23—24no—
1600C23—24no—
1601C23—24no—
1602C23—24no—
1603C23—24no—
1604C23—24no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—24no—
1612C23—22no—
1613C23—24no—
1614C23—48no—
1615C23—84no—
1616C23—84no—
1617C23—88no—
1618C23—88no—
1619C23—88no—
1620C23—84no—
1621C23—84no—
1622C23—84no—
1623C23—84no—
1624C23—88no—
1625C23—88no—
1626C23—164no—
1627C23—164no—
1628C23C2×H(5,𝔽2)12yes—
1629C23#58512yes—
1630C23C2611yescharacteristic
1631Q8—28no—
1632Q8—44no—
1633Q8—48no—
1634Q8—164no—
1635D4—48no—
1636D4—48no—
1637D4—44no—
1638D4—44no—
1639D4—44no—
1640D4—48no—
1641D4—48no—
1642D4—48no—
1643D4—48no—
1644D4—84no—
1645D4—88no—
1646D4—84no—
1647D4—88no—
1648D4—84no—
1649D4—88no—
1650D4—88no—
1651D4—88no—
1652D4—88no—
1653D4—88no—
1654D4—164no—
1655D4—164no—
1656D4—164no—
1657D4—164no—
1658D4—164no—
1659D4—164no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—28no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—24no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—44no—
1740C2×C4—44no—
1741C2×C4—48no—
1742C2×C4—44no—
1743C2×C4—48no—
1744C2×C4—44no—
1745C2×C4—82no—
1746C2×C4—88no—
1747C2×C4—88no—
1748C2×C4—84no—
1749C2×C4—84no—
1750C2×C4—84no—
1751C2×C4—164no—
1752C2×C4—164no—
1753C2×C4C2×H(5,𝔽2)12yes—
1754C2×C4C2×H(5,𝔽2)14yes—
1755C2×C4C2×H(5,𝔽2)12yes—
1756C2×C4C2×H(5,𝔽2)12yes—
1757C2×C4C2×H(5,𝔽2)12yes—
1758C2×C4C2×H(5,𝔽2)12yes—
1759C2×C4C2×H(5,𝔽2)12yes—
1760C2×C4#58512yes—
1761C2×C4#58512yes—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—42no—
1777C22—42no—
1778C22—44no—
1779C22—44no—
1780C22—42no—
1781C22—42no—
1782C22—44no—
1783C22—44no—
1784C22—42no—
1785C22—42no—
1786C22—44no—
1787C22—44no—
1788C22—44no—
1789C22—44no—
1790C22—42no—
1791C22—42no—
1792C22—44no—
1793C22—44no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—44no—
1798C22—42no—
1799C22—44no—
1800C22—44no—
1801C22—42no—
1802C22—42no—
1803C22—44no—
1804C22—816no—
1805C22—1616no—
1806C22C22×H(5,𝔽2)11yescharacteristic
1807C22C22×H(5,𝔽2)11yescharacteristic
1808C22C22×H(5,𝔽2)11yescharacteristic
1809C22C2×#58511yescharacteristic
1810C22C2×#58511yescharacteristic
1811C22C2×#58511yescharacteristic
1812C22H(7,𝔽2)11yescharacteristic
1813C4—24no—
1814C4—22no—
1815C4—22no—
1816C4—42no—
1817C4—41no—
1818C4—42no—
1819C4—41no—
1820C4—41no—
1821C4—42no—
1822C4—42no—
1823C4—41no—
1824C4—42no—
1825C4—42no—
1826C4—41no—
1827C4—42no—
1828C4—42no—
1829C4—44no—
1830C4—42no—
1831C4—41no—
1832C4—41no—
1833C4—42no—
1834C4—42no—
1835C4—41no—
1836C4—42no—
1837C4—41no—
1838C4—44no—
1839C4—42no—
1840C4#354214yes—
1841C4#355814yes—
1842C2—42no—
1843C2—42no—
1844C2—82no—
1845C2—82no—
1846C2—84no—
1847C2—84no—
1848C2C2×#354211yescharacteristic
1849C2C2×#355811yescharacteristic
1850C2#6283011yescharacteristic
1851C2#6291611yescharacteristic
1852C2#6292411yescharacteristic
1853C2#6296611yescharacteristic
1854C2#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. #59646C2semidirect
2. #59124C2semidirect
3. #59078C2semidirect
4. #57125C2semidirect
5. #55033C2semidirect
6. #54921C2semidirect
7. #53057C2semidirect
8. #52995C2semidirect
9. #47994C2semidirect
10. #46061C2semidirect
11. #45645C2semidirect
12. #45108C2semidirect
13. #45079C2semidirect
14. #42966C2semidirect
15. #42892C2semidirect
16. #42586C2semidirect
17. #42528C2semidirect
18. #40049C2semidirect
19. #39885C2semidirect
20. #39351C2semidirect
21. #39202C2semidirect
22. #39127C2semidirect
23. #39069C2semidirect
24. #38940C2semidirect
25. #37669C2semidirect
26. #37614C2semidirect
27. #37305C2semidirect
28. #37283C2semidirect
29. #36583C2semidirect
30. #36121C2semidirect
31. #36101C2semidirect
32. #35198C2semidirect
33. #35165C2semidirect
34. #34898C2semidirect
35. #34700C2semidirect
36. C2×#557C22semidirect
39. C2×#546C22semidirect
40. C2×#542C22semidirect
41. C2×#542C22semidirect
42. C2×#535C22semidirect
44. C22×#127C22semidirect
46. C2×#525C22semidirect
47. C22×C4×D4C22semidirect
48. #2860C22semidirect
49. #2858C22semidirect
50. #2858C22semidirect
51. #2858C22semidirect
52. #2857C22semidirect
54. #2847C22semidirect
55. #2847C22semidirect
56. #2847C22semidirect
57. #2829C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2826C22semidirect
61. #2824C22semidirect
62. #2818C22semidirect
63. #2816C22semidirect
64. #2813C22semidirect
65. #2803C22semidirect
66. #2803C22semidirect
67. #2797C22semidirect
68. #2775C22semidirect
69. #2756C22semidirect
70. #2756C22semidirect
71. #2756C22semidirect
72. #2753C22semidirect
73. #2753C22semidirect
74. #2752C22semidirect
75. #2749C22semidirect
76. #2749C22semidirect
77. #2741C22semidirect
78. #2741C22semidirect
79. #2737C22semidirect
80. #2730C22semidirect
81. #2725C22semidirect
82. #2723C22semidirect
83. #2714C22semidirect
84. #2714C22semidirect
85. #2711C22semidirect
86. #2708C22semidirect
87. #2708C22semidirect
88. #2707C22semidirect
89. #2706C22semidirect
90. #2705C22semidirect
91. #2701C22semidirect
92. #2697C22semidirect
93. #2696C22semidirect
94. #2695C22semidirect
95. #2687C22semidirect
96. #2685C22semidirect
97. #2685C22semidirect
98. #2685C22semidirect
100. #2684C22semidirect
101. #2681C22semidirect
104. #2678C22semidirect
105. #2678C22semidirect
106. #2678C22semidirect
107. #2678C22semidirect
108. #2676C22semidirect
109. #2676C22semidirect
110. #2673C22semidirect
111. #2672C22semidirect
112. #2670C22semidirect
113. #2670C22semidirect
114. #2662C22semidirect
115. #2661C22semidirect
117. #2648C22semidirect
118. #2648C22semidirect
119. #2641C22semidirect
120. #2640C22semidirect
121. #2630C22semidirect
122. #2629C22semidirect
123. #2624C22semidirect
124. #2624C22semidirect
125. #2619C22semidirect
126. #2619C22semidirect
128. #2617C22semidirect
129. #2613C22semidirect
130. #2602C22semidirect
131. #2602C22semidirect
132. #2578C22semidirect
133. #2577C22semidirect
134. #2575C22semidirect
135. #2570C22semidirect
136. #2565C22semidirect
137. #2563C22semidirect
139. #2562C22semidirect
140. #2553C22semidirect
141. #2551C22semidirect
142. #2548C22semidirect
143. #2548C22semidirect
144. #2548C22semidirect
145. #2548C22semidirect
146. #2548C22semidirect
147. #2548C22semidirect
148. #2547C22semidirect
149. #2547C22semidirect
150. #2547C22semidirect
151. #2545C22semidirect
152. #2545C22semidirect
153. #2544C22semidirect
154. #2544C22semidirect
155. #2544C22semidirect
156. #2544C22semidirect
157. #2542C22semidirect
163. #2538C22semidirect
164. #2538C22semidirect
165. #2537C22semidirect
166. #2537C22semidirect
168. #2535C22semidirect
170. #2524C22semidirect
171. #2513C22semidirect
172. #2512C22semidirect
173. #2500C22semidirect
174. #2496C22semidirect
175. #2495C22semidirect
176. #2495C22semidirect
177. #2492C22semidirect
178. #2491C22semidirect
179. #2491C22semidirect
180. #2490C22semidirect
181. #2490C22semidirect
182. #2490C22semidirect
183. #2490C22semidirect
184. #2490C22semidirect
185. #2490C22semidirect
186. #2490C22semidirect
187. #2485C22semidirect
188. #2480C22semidirect
189. #2480C22semidirect
190. #2472C22semidirect
192. #2468C22semidirect
193. #2467C22semidirect
194. #2461C22semidirect
195. #2460C22semidirect
196. #2459C22semidirect
198. #2457C22semidirect
199. #2456C22semidirect
200. #2454C22semidirect
201. #2454C22semidirect
202. #2453C22semidirect
203. #2452C22semidirect
204. #2452C22semidirect
205. #2448C22semidirect
206. #2448C22semidirect
207. #2448C22semidirect
208. #2447C22semidirect
209. #2447C22semidirect
210. #2445C22semidirect
211. #2445C22semidirect
212. #2445C22semidirect
213. #2445C22semidirect
214. #2445C22semidirect
215. #2445C22semidirect
216. #2442C22semidirect
217. #2439C22semidirect
218. #2437C22semidirect
219. #2435C22semidirect
220. #2435C22semidirect
221. #2435C22semidirect
224. #2433C22semidirect
225. #2432C22semidirect
227. #2431C22semidirect
228. #2429C22semidirect
231. #2428C22semidirect
233. #2427C22semidirect
236. #2426C22semidirect
237. #2426C22semidirect
238. #2424C22semidirect
239. #2423C22semidirect
240. #2422C22semidirect
241. #2422C22semidirect
242. #2421C22semidirect
244. #2420C22semidirect
247. #2414C22semidirect
248. #2410C22semidirect
252. #2408C22semidirect
253. #2408C22semidirect
254. #2408C22semidirect
255. #2407C22semidirect
256. #2402C22semidirect
258. #2395C22semidirect
260. #2375C22semidirect
261. #2367C22semidirect
262. #2367C22semidirect
263. #2366C22semidirect
264. #2366C22semidirect
265. #2365C22semidirect
266. #2363C22semidirect
267. #2361C22semidirect
268. #2354C22semidirect
269. Q8×C4⋊C4C22semidirect
270. #2341C22semidirect
271. #2341C22semidirect
272. #2341C22semidirect
273. D4×C22⋊C4C22semidirect
274. D4×C22⋊C4C22semidirect
275. D4×C22⋊C4C22semidirect
276. #2324C22semidirect
277. #2324C22semidirect
278. #2323C22semidirect
279. #2321C22semidirect
280. #2320C22semidirect
281. #2311C22semidirect
282. C4×#127C22semidirect
283. C4×#125C22semidirect
284. C4×#126C22semidirect
285. C4×#124C22semidirect
286. C4×#124C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
292. #2298C22semidirect
293. #2293C22semidirect
294. #2285C22semidirect
295. #2283C22semidirect
296. #2280C22semidirect
297. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#596462
#591242
#590782
#571252
#550332
#549212
#530572
#529952
#479942
#460612
#456452
#451082
#450792
#429662
#428922
#425862
#425282
#400492
#398852
#393512
#392022
#391272
#390692
#389402
#376692
#376142
#373052
#372832
#365832
#361212
#361012
#351982
#351652
#348982
#347002