Finite Group Databasebeta

← #8425245

Subgroups — #8425245

Order 512.

5822 conjugacy classes of subgroups.

The subgroup lattice has 1923 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59434C211yesmaximal, characteristic, complemented
2#59394C212yesmaximal, complemented
3#59066C211yesmaximal, characteristic, complemented
4#59051C212yesmaximal, complemented
5#59035C211yesmaximal, characteristic, complemented
6#53619C214yesmaximal, complemented
7#53516C214yesmaximal, complemented
8#53059C212yesmaximal, complemented
9#53000C212yesmaximal, complemented
10#52971C212yesmaximal, complemented
11#52957C212yesmaximal, complemented
12#52484C214yesmaximal, complemented
13#42986C212yesmaximal, complemented
14#42967C212yesmaximal, complemented
15#42842C212yesmaximal, complemented
16#42445C212yesmaximal, complemented
17#41261C214yesmaximal, complemented
18#40053C212yesmaximal, complemented
19#39957C212yesmaximal, complemented
20#39434C212yesmaximal, complemented
21#39386C211yesmaximal, characteristic, complemented
22#39361C211yesmaximal, characteristic, complemented
23#39342C211yesmaximal, characteristic, complemented
24#39147C211yesmaximal, characteristic, complemented
25#37681C212yesmaximal, complemented
26#37627C211yesmaximal, characteristic, complemented
27#37618C211yesmaximal, characteristic, complemented
28#37515C212yesmaximal, complemented
29#37501C212yesmaximal, complemented
30#36596C211yesmaximal, characteristic, complemented
31#36455C211yesmaximal, characteristic, complemented
32#36128C211yesmaximal, characteristic, complemented
33#34937C211yesmaximal, characteristic, complemented
34#34788C211yesmaximal, characteristic, complemented
35#34715C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#550C2211yescharacteristic
38C2×#550C2212yescomplemented
39C2×#550C2212yescomplemented
40C2×#547C2212yescomplemented
41C2×#546C2212yes—
42C2×D42C2211yescharacteristic
43C2×#540C2212yescomplemented
44C2×#535C2212yes—
45C2×#535C2212yes—
46C2×#532C2211yescharacteristic
47C2×#532C2211yescharacteristic
48C2×#532C2211yescharacteristic, complemented
49C2×#532C2212yescomplemented
50C2×C4×#41C2211yescharacteristic, complemented
51#2867C2211yescharacteristic
52#2856C2212yes—
53#2856C2212yes—
54#2856C2211yescharacteristic
55#2856C2211yescharacteristic, complemented
56#2837C2214yescomplemented
57#2829C2214yescomplemented
58#2828C2214yescomplemented
59#2825C2214yescomplemented
60#2825C2214yescomplemented
61#2825C2214yescomplemented
62#2825C2214yescomplemented
63#2824C2214yescomplemented
64#2818C2214yescomplemented
65#2815C2214yescomplemented
66#2813C2214yescomplemented
67#2813C2214yescomplemented
68#2813C2214yescomplemented
69#2812C2214yescomplemented
70#2797C2214yescomplemented
71#2784C2214yescomplemented
72#2777C2214yescomplemented
73#2757C2214yescomplemented
74#2749C2214yescomplemented
75#2710C2214yescomplemented
76#2703C2214yescomplemented
77#2701C2214yescomplemented
78#2697C2214yescomplemented
79#2697C2214yescomplemented
80#2695C2214yescomplemented
81#2691C2214yescomplemented
82#2688C2214yescomplemented
83#2678C2214yescomplemented
84#2678C2214yescomplemented
85#2678C2214yescomplemented
86#2678C2214yescomplemented
87#2675C2214yescomplemented
88#2675C2214yescomplemented
89#2673C2214yescomplemented
90#2673C2214yescomplemented
91#2673C2214yescomplemented
92#2673C2214yescomplemented
93#2673C2214yescomplemented
94#2673C2214yescomplemented
95#2671C2214yescomplemented
96#2671C2214yescomplemented
97#2670C2214yes—
98#2669C2214yes—
99#2669C2214yes—
100#2669C2214yes—
101#2669C2214yescomplemented
102#2669C2214yescomplemented
103#2669C2214yescomplemented
104#2668C2214yes—
105#2668C2214yescomplemented
106#2668C2214yescomplemented
107#2662C2214yescomplemented
108#2661C2214yescomplemented
109#2661C2214yescomplemented
110#2657C2212yes—
111#2653C2214yescomplemented
112#2653C2214yescomplemented
113#2651C2214yescomplemented
114#2648C2214yescomplemented
115#2644C2212yescomplemented
116#2640C2212yescomplemented
117#2631C2214yescomplemented
118#2631C2214yescomplemented
119#2630C2214yescomplemented
120#2629C2212yescomplemented
121#2625C2212yescomplemented
122#2624C2212yes—
123#2620C2212yescomplemented
124#2619C2212yes—
125#2619C2212yescomplemented
126#2618C2214yescomplemented
127#2615C2212yes—
128#2615C2212yescomplemented
129#2615C2212yescomplemented
130#2602C2214yescomplemented
131#2595C2214yescomplemented
132#2594C2214yescomplemented
133#2591C2214yescomplemented
134#2578C2214yescomplemented
135#2566C2212yescomplemented
136#2557C2214yescomplemented
137#2554C2214yescomplemented
138#2552C2211yescharacteristic, complemented
139#2548C2211yescharacteristic
140#2548C2212yescomplemented
141#2547C2211yescharacteristic
142#2547C2211yescharacteristic, complemented
143#2546C2211yescharacteristic, complemented
144#2545C2212yes—
145#2545C2212yescomplemented
146#2544C2212yescomplemented
147#2543C2214yescomplemented
148#2543C2214yescomplemented
149#2542C2211yescharacteristic
150#2541C2212yes—
151#2541C2212yes—
152#2541C2211yescharacteristic
153#2541C2211yescharacteristic
154#2541C2212yescomplemented
155#2541C2212yescomplemented
156#2541C2214yescomplemented
157#2541C2212yescomplemented
158#2541C2212yescomplemented
159#2541C2211yescharacteristic, complemented
160#2539C2214yescomplemented
161#2537C2211yescharacteristic
162#2537C2212yes—
163#2537C2212yescomplemented
164#2535C2212yescomplemented
165#2535C2212yescomplemented
166#2525C2212yescomplemented
167#2516C2212yescomplemented
168#2514C2212yescomplemented
169#2513C2211yescharacteristic
170#2513C2212yescomplemented
171#2512C2212yescomplemented
172#2510C2212yescomplemented
173#2509C2211yescharacteristic, complemented
174#2504C2211yescharacteristic
175#2497C2212yescomplemented
176#2497C2212yescomplemented
177#2494C2212yescomplemented
178#2494C2211yescharacteristic, complemented
179#2491C2212yes—
180#2490C2211yescharacteristic
181#2490C2212yes—
182#2490C2212yescomplemented
183#2490C2212yescomplemented
184#2487C2211yescharacteristic, complemented
185#2476C2212yescomplemented
186#2474C2212yescomplemented
187#2459C2212yescomplemented
188#2456C2214yescomplemented
189#2456C2214yescomplemented
190#2456C2212yescomplemented
191#2456C2214yescomplemented
192#2456C2214yescomplemented
193#2451C2211yescharacteristic, complemented
194#2448C2212yes—
195#2445C2211yescharacteristic
196#2445C2212yes—
197#2445C2212yes—
198#2445C2212yescomplemented
199#2445C2212yescomplemented
200#2444C2212yescomplemented
201#2443C2214yescomplemented
202#2442C2211yescharacteristic, complemented
203#2441C2212yescomplemented
204#2439C2211yescharacteristic, complemented
205#2435C2212yes—
206#2433C2212yes—
207#2433C2212yes—
208#2433C2212yes—
209#2433C2212yes—
210#2432C2212yescomplemented
211#2431C2212yes—
212#2431C2211yescharacteristic
213#2431C2212yes—
214#2431C2212yescomplemented
215#2431C2212yescomplemented
216#2431C2212yescomplemented
217#2428C2212yes—
218#2428C2212yes—
219#2428C2212yes—
220#2428C2212yescomplemented
221#2428C2212yescomplemented
222#2428C2214yescomplemented
223#2428C2212yescomplemented
224#2428C2212yescomplemented
225#2428C2214yescomplemented
226#2428C2212yescomplemented
227#2428C2212yescomplemented
228#2428C2212yescomplemented
229#2427C2212yes—
230#2427C2212yescomplemented
231#2426C2211yescharacteristic
232#2426C2212yescomplemented
233#2426C2212yescomplemented
234#2424C2214yescomplemented
235#2424C2214yescomplemented
236#2423C2212yescomplemented
237#2422C2212yes—
238#2422C2212yescomplemented
239#2422C2212yescomplemented
240#2422C2212yescomplemented
241#2420C2211yescharacteristic, complemented
242#2418C2214yes—
243#2416C2211yescharacteristic
244#2416C2214yescomplemented
245#2416C2212yescomplemented
246#2416C2212yescomplemented
247#2416C2212yescomplemented
248#2414C2212yes—
249#2414C2211yescharacteristic
250#2414C2214yescomplemented
251#2414C2212yescomplemented
252#2408C2212yes—
253#2408C2212yes—
254#2408C2212yes—
255#2407C2212yes—
256#2407C2212yescomplemented
257#2407C2211yescharacteristic, complemented
258#2401C2212yescomplemented
259#2395C2212yescomplemented
260#2392C2214yescomplemented
261#2392C2212yescomplemented
262#2388C2212yescomplemented
263#2366C2211yescharacteristic
264#2366C2212yescomplemented
265#2366C2212yescomplemented
266#2366C2211yescharacteristic, complemented
267#2365C2212yescomplemented
268#2363C2212yescomplemented
269#2361C2214yescomplemented
270#2354C2211yescharacteristic
271Q8×C4⋊C4C2211yescharacteristic, complemented
272D4×C4⋊C4C2212yescomplemented
273#2347C2212yescomplemented
274#2341C2212yescomplemented
275D4×C22⋊C4C2212yes—
276#2326C2212yescomplemented
277#2321C2214yescomplemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×#125C2211yescharacteristic, complemented
280C4×#124C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×#123C2212yescomplemented
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289C4×#121C2212yescomplemented
290C4×#121C2212yescomplemented
291#2297C2212yescomplemented
292#2297C2212yescomplemented
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic, complemented
295#2290C2212yescomplemented
296#2283C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306#553—48no—
307#550—44no—
308#550—48no—
309#550—48no—
310#547—48no—
311#546—48no—
312D42—44no—
313#540—48no—
314#535—48no—
315#535—48no—
316#532—44no—
317#532—44no—
318#532—44no—
319#532—48no—
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#127C2314yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2311yescharacteristic
334C2×#127C2312yes—
335C2×#127C2314yes—
336C2×#127C2314yes—
337C2×#127C2312yes—
338C2×#127C2312yes—
339C2×#126C2314yes—
340C2×#125C2311yescharacteristic
341C2×#125C2312yes—
342C2×#124C2312yes—
343C2×#124C2311yescharacteristic
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2314yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#124C2312yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2312yes—
357C2×#123C2314yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2311yescharacteristic
386C2×#121C2311yescharacteristic
387C2×#121C2311yescharacteristic
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#120C2314yes—
408C2×#120C2314yes—
409C2×#120C2314yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C2×#120C2314yes—
414C2×#120C2314yes—
415C2×#120C2314yes—
416C4×#41—44no—
417C2×C4×Q8C2311yescharacteristic
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2311yescharacteristic
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2312yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2314yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2311yescharacteristic
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2312yes—
452C2×#117C2311yescharacteristic
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2314yes—
455C22×C4⋊C4C2311yescharacteristic
456C22×C22⋊C4C2314yes—
457C22×C42C2311yescharacteristic
458C22×C42C2311yescharacteristic
459C22×C42C2312yes—
460C22×C42C2312yes—
461#401C2314yes—
462#401C2312yes—
463#400C2314yes—
464#400C2314yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#399C2314yes—
470#399C2314yes—
471#399C2312yes—
472#399C2314yes—
473#398C2312yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2312yes—
478#398C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2312yes—
482#397C2312yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2312yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2312yes—
498#397C2312yes—
499#397C2312yes—
500#396C2314yes—
501#396C2314yes—
502#396C2312yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2312yes—
510#396C2314yes—
511#396C2312yes—
512#396C2314yes—
513#395C2312yes—
514#394C2312yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2312yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2312yes—
546#394C2312yes—
547#394C2312yes—
548#394C2314yes—
549#394C2312yes—
550#394C2312yes—
551#394C2314yes—
552#394C2314yes—
553#393C2312yes—
554#393C2314yes—
555#393C2314yes—
556#393C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2312yes—
587#392C2312yes—
588#392C2312yes—
589#392C2314yes—
590#392C2312yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#391C2312yes—
596#391C2311yescharacteristic
597#391C2311yescharacteristic
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2314yes—
609#390C2312yes—
610#390C2311yescharacteristic
611#390C2312yes—
612#390C2314yes—
613#390C2314yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2314yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2314yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2311yescharacteristic
630#390C2314yes—
631#390C2312yes—
632#390C2312yes—
633#390C2314yes—
634#390C2311yescharacteristic
635#390C2311yescharacteristic
636#390C2312yes—
637#390C2311yescharacteristic
638#390C2311yescharacteristic
639#390C2312yes—
640#390C2311yescharacteristic
641#390C2312yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2312yes—
646#389C2314yes—
647#389C2312yes—
648#389C2312yes—
649#389C2311yescharacteristic
650#389C2312yes—
651#389C2312yes—
652#389C2314yes—
653#389C2311yescharacteristic
654#389C2312yes—
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2312yes—
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#389C2311yescharacteristic
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2312yes—
672#388C2314yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2314yes—
684#388C2312yes—
685#388C2312yes—
686#388C2314yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2314yes—
696#387C2312yes—
697#387C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2312yes—
701#387C2314yes—
702#387C2312yes—
703#387C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2312yes—
733#386C2312yes—
734#386C2312yes—
735#386C2312yes—
736#386C2314yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2312yes—
741#385C2314yes—
742#385C2314yes—
743#385C2312yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2312yes—
749#385C2312yes—
750#385C2314yes—
751#385C2312yes—
752#384C2311yescharacteristic
753#384C2312yes—
754#384C2312yes—
755#384C2312yes—
756#383C2314yes—
757#383C2312yes—
758#382C2311yescharacteristic
759#382C2311yescharacteristic
760#382C2311yescharacteristic
761#382C2311yescharacteristic
762#381C2312yes—
763#381C2312yes—
764#380C2314yes—
765#380C2312yes—
766#380C2314yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2314yes—
780#380C2311yescharacteristic
781#379C2314yes—
782#379C2314yes—
783#379C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822#376C2312yes—
823C2×#95C2312yes—
824C43C2311yescharacteristic
825C25C2414yes—
826C2×#41—24no—
827C2×#41—28no—
828C2×#41—24no—
829C2×#41—28no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—42no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41—44no—
840C2×#41—44no—
841C22×Q8C2412yes—
842C22×Q8C2411yescharacteristic
843C22×Q8C2412yes—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2411yescharacteristic
854C22×D4C2411yescharacteristic
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2411yescharacteristic
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2414yes—
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C4⋊Q8—28no—
906C4⋊Q8—24no—
907C4⋊Q8—42no—
908#127—24no—
909#127—24no—
910#127—44no—
911#127—44no—
912#127—42no—
913#127—44no—
914#127—44no—
915#127—48no—
916#127—44no—
917#127—44no—
918#127—44no—
919#127—44no—
920#127—44no—
921#127—48no—
922#127—48no—
923#127—82no—
924#126—48no—
925#125—24no—
926#125—44no—
927#124—28no—
928#124—24no—
929#124—44no—
930#124—48no—
931#124—44no—
932#124—44no—
933#124—44no—
934#124—44no—
935#123—44no—
936#123—48no—
937#123—48no—
938#123—48no—
939#123—48no—
940#123—48no—
941#123—48no—
942#123—84no—
943C22⋊Q8—24no—
944C22⋊Q8—44no—
945C22⋊Q8—44no—
946#121—24no—
947#121—28no—
948#121—24no—
949#121—28no—
950#121—44no—
951#121—48no—
952#121—48no—
953#121—48no—
954#121—48no—
955#121—48no—
956#121—44no—
957#121—48no—
958#121—48no—
959#121—48no—
960#121—48no—
961#121—48no—
962#121—48no—
963#121—48no—
964#121—48no—
965#121—48no—
966#121—44no—
967#121—44no—
968#121—42no—
969#121—44no—
970#121—42no—
971#121—42no—
972#121—44no—
973#121—44no—
974#121—44no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—48no—
979#121—44no—
980#121—44no—
981#121—44no—
982#121—44no—
983#121—44no—
984#121—44no—
985#121—44no—
986#121—44no—
987#121—82no—
988#121—84no—
989#121—82no—
990#121—84no—
991#121—84no—
992#120—48no—
993#120—48no—
994#120—48no—
995#120—48no—
996#120—48no—
997#120—48no—
998#120—48no—
999#120—84no—
1000#120—84no—
1001C4×Q8—24no—
1002C4×Q8—42no—
1003C4×Q8—44no—
1004C4×Q8—44no—
1005C4×D4—28no—
1006C4×D4—24no—
1007C4×D4—28no—
1008C4×D4—24no—
1009C4×D4—24no—
1010C4×D4—24no—
1011C4×D4—42no—
1012C4×D4—42no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—42no—
1022C4×D4—44no—
1023C4×D4—44no—
1024C4×D4—44no—
1025C4×D4—48no—
1026C4×D4—44no—
1027C4×D4—44no—
1028C4×D4—48no—
1029C4×D4—48no—
1030C4×D4—48no—
1031C4×D4—48no—
1032#117—28no—
1033#117—44no—
1034#117—44no—
1035#117—44no—
1036#117—42no—
1037C2×C4⋊C4—24no—
1038C2×C4⋊C4—42no—
1039C2×C4⋊C4—48no—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C22⋊C4—48no—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C42—24no—
1169C2×C42—24no—
1170C2×C42—44no—
1171C2×C42—44no—
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2412yes—
1176C2×C42C2414yes—
1177C2×C42C2412yes—
1178C2×C42C2411yescharacteristic
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2411yescharacteristic
1182C2×C42C2412yes—
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192C2×C42C2414yes—
1193C2×C42C2414yes—
1194C2×C42C2412yes—
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2414yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2414yes—
1249C24—44no—
1250C24—44no—
1251C24—44no—
1252C24—44no—
1253C24—44no—
1254C24—44no—
1255C24—44no—
1256C24C2512yes—
1257C24C2512yes—
1258C24C2514yes—
1259C24C2511yescharacteristic
1260C24C2514yes—
1261C24C2512yes—
1262C24C2511yescharacteristic
1263#41—416no—
1264#41—816no—
1265#41—816no—
1266#41—816no—
1267#41—816no—
1268C2×Q8—22no—
1269C2×Q8—22no—
1270C2×Q8—24no—
1271C2×Q8—24no—
1272C2×Q8—24no—
1273C2×Q8—42no—
1274C2×Q8—42no—
1275C2×Q8—42no—
1276C2×Q8H(5,𝔽2)14yes—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—28no—
1282C2×D4—28no—
1283C2×D4—22no—
1284C2×D4—24no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—22no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—22no—
1300C2×D4—24no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—28no—
1306C2×D4—28no—
1307C2×D4—22no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—22no—
1311C2×D4—28no—
1312C2×D4—42no—
1313C2×D4—41no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—42no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—42no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—42no—
1330C2×D4—42no—
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—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—42no—
1347C2×D4—44no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—44no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—44no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—44no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—816no—
1389C2×D4—816no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—28no—
1415C22×C4—24no—
1416C22×C4—28no—
1417C22×C4—28no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—42no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—44no—
1434C22×C4—42no—
1435C22×C4—41no—
1436C22×C4—41no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—42no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4H(5,𝔽2)14yes—
1444C22×C4C2512yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2512yes—
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2512yes—
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2511yescharacteristic
1458C22×C4C2512yes—
1459C22×C4C2514yes—
1460C22×C4C2512yes—
1461C22×C4C2514yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2511yescharacteristic
1466C22×C4C2512yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C4⋊C4—22no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—28no—
1476C4⋊C4—24no—
1477C4⋊C4—22no—
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—22no—
1489C4⋊C4—28no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—24no—
1497C4⋊C4—22no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—44no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—41no—
1507C4⋊C4—42no—
1508C4⋊C4—44no—
1509C4⋊C4—42no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—42no—
1519C4⋊C4H(5,𝔽2)14yes—
1520C22⋊C4—24no—
1521C22⋊C4—22no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—28no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—22no—
1529C22⋊C4—28no—
1530C22⋊C4—28no—
1531C22⋊C4—28no—
1532C22⋊C4—28no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—28no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—42no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—42no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—42no—
1593C22⋊C4—44no—
1594C22⋊C4—42no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—24no—
1606C42—24no—
1607C42—24no—
1608C42—28no—
1609C42—22no—
1610C42—22no—
1611C42—24no—
1612C42—24no—
1613C42—22no—
1614C42—22no—
1615C42—22no—
1616C42—42no—
1617C42—42no—
1618C42—42no—
1619C42—42no—
1620C42—44no—
1621C42—44no—
1622C42—41no—
1623C42H(5,𝔽2)14yes—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—22no—
1632C23—24no—
1633C23—22no—
1634C23—22no—
1635C23—24no—
1636C23—22no—
1637C23—22no—
1638C23—24no—
1639C23—22no—
1640C23—22no—
1641C23—21no—
1642C23—22no—
1643C23—24no—
1644C23—22no—
1645C23—22no—
1646C23—24no—
1647C23—24no—
1648C23—24no—
1649C23—22no—
1650C23—22no—
1651C23—24no—
1652C23—21no—
1653C23—21no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—21no—
1658C23—24no—
1659C23—24no—
1660C23—21no—
1661C23—24no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—24no—
1666C23—21no—
1667C23—22no—
1668C23—22no—
1669C23—24no—
1670C23—24no—
1671C23—22no—
1672C23—88no—
1673C23—88no—
1674C23—88no—
1675C23—164no—
1676C23—164no—
1677C23—164no—
1678C23—164no—
1679C23C2×H(5,𝔽2)12yes—
1680C23C2611yescharacteristic
1681Q8—28no—
1682Q8—48no—
1683Q8—84no—
1684D4—44no—
1685D4—48no—
1686D4—44no—
1687D4—48no—
1688D4—44no—
1689D4—48no—
1690D4—48no—
1691D4—48no—
1692D4—44no—
1693D4—88no—
1694D4—88no—
1695D4—84no—
1696D4—84no—
1697D4—84no—
1698D4—88no—
1699D4—84no—
1700D4—84no—
1701D4—88no—
1702D4—88no—
1703D4—88no—
1704D4—88no—
1705D4—84no—
1706D4—88no—
1707D4—88no—
1708D4—88no—
1709D4—84no—
1710D4—84no—
1711D4—84no—
1712D4—164no—
1713D4—164no—
1714D4—164no—
1715D4—164no—
1716D4—164no—
1717D4—164no—
1718D4—164no—
1719D4—164no—
1720D4—164no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—28no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—24no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—24no—
1754C2×C4—24no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—24no—
1766C2×C4—24no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—22no—
1795C2×C4—48no—
1796C2×C4—48no—
1797C2×C4—44no—
1798C2×C4—44no—
1799C2×C4—48no—
1800C2×C4—48no—
1801C2×C4—44no—
1802C2×C4—88no—
1803C2×C4—84no—
1804C2×C4—82no—
1805C2×C4—82no—
1806C2×C4—88no—
1807C2×C4—88no—
1808C2×C4—84no—
1809C2×C4—84no—
1810C2×C4—88no—
1811C2×C4—164no—
1812C2×C4C2×H(5,𝔽2)12yes—
1813C2×C4C2×H(5,𝔽2)14yes—
1814C2×C4C2×H(5,𝔽2)12yes—
1815C2×C4C2×H(5,𝔽2)14yes—
1816C2×C4C2×H(5,𝔽2)12yes—
1817C2×C4C2×H(5,𝔽2)12yes—
1818C2×C4C2×H(5,𝔽2)12yes—
1819C2×C4C2×H(5,𝔽2)12yes—
1820C2×C4C2×H(5,𝔽2)12yes—
1821C2×C4#58512yes—
1822C2×C4#58512yes—
1823C22—22no—
1824C22—22no—
1825C22—22no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—42no—
1831C22—41no—
1832C22—42no—
1833C22—44no—
1834C22—44no—
1835C22—42no—
1836C22—41no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—44no—
1841C22—44no—
1842C22—41no—
1843C22—44no—
1844C22—42no—
1845C22—44no—
1846C22—42no—
1847C22—42no—
1848C22—44no—
1849C22—41no—
1850C22—42no—
1851C22—44no—
1852C22—42no—
1853C22—42no—
1854C22—44no—
1855C22—44no—
1856C22—42no—
1857C22—41no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—44no—
1862C22—44no—
1863C22—42no—
1864C22—41no—
1865C22—42no—
1866C22—42no—
1867C22—41no—
1868C22—44no—
1869C22—44no—
1870C22—42no—
1871C22—42no—
1872C22—1616no—
1873C22C22×H(5,𝔽2)11yescharacteristic
1874C22C22×H(5,𝔽2)11yescharacteristic
1875C22C22×H(5,𝔽2)11yescharacteristic
1876C22C22×H(5,𝔽2)11yescharacteristic
1877C22C2×#58511yescharacteristic
1878C22C2×#58511yescharacteristic
1879C22H(7,𝔽2)11yescharacteristic
1880C4—22no—
1881C4—24no—
1882C4—22no—
1883C4—24no—
1884C4—22no—
1885C4—41no—
1886C4—42no—
1887C4—44no—
1888C4—41no—
1889C4—42no—
1890C4—41no—
1891C4—42no—
1892C4—42no—
1893C4—42no—
1894C4—42no—
1895C4—41no—
1896C4—42no—
1897C4—42no—
1898C4—44no—
1899C4—41no—
1900C4—42no—
1901C4—42no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—42no—
1906C4#353714yes—
1907C4#354614yes—
1908C2—42no—
1909C2—82no—
1910C2—81no—
1911C2—84no—
1912C2—84no—
1913C2—82no—
1914C2—82no—
1915C2C2×#353711yescharacteristic
1916C2C2×#354611yescharacteristic
1917C2#6274811yescharacteristic
1918C2#6291611yescharacteristic
1919C2#6292311yescharacteristic
1920C2#6295511yescharacteristic
1921C2#6301411yescharacteristic
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. #59434C2semidirect
2. #59394C2semidirect
3. #59066C2semidirect
4. #59051C2semidirect
5. #59035C2semidirect
6. #53619C2semidirect
7. #53516C2semidirect
8. #53059C2semidirect
9. #53000C2semidirect
10. #52971C2semidirect
11. #52957C2semidirect
12. #52484C2semidirect
13. #42986C2semidirect
14. #42967C2semidirect
15. #42842C2semidirect
16. #42445C2semidirect
17. #41261C2semidirect
18. #40053C2semidirect
19. #39957C2semidirect
20. #39434C2semidirect
21. #39386C2semidirect
22. #39361C2semidirect
23. #39342C2semidirect
24. #39147C2semidirect
25. #37681C2semidirect
26. #37627C2semidirect
27. #37618C2semidirect
28. #37515C2semidirect
29. #37501C2semidirect
30. #36596C2semidirect
31. #36455C2semidirect
32. #36128C2semidirect
33. #34937C2semidirect
34. #34788C2semidirect
35. #34715C2semidirect
36. C2×#553C22semidirect
38. C2×#550C22semidirect
39. C2×#550C22semidirect
40. C2×#547C22semidirect
43. C2×#540C22semidirect
48. C2×#532C22semidirect
49. C2×#532C22semidirect
50. C2×C4×#41C22semidirect
55. #2856C22semidirect
56. #2837C22semidirect
57. #2829C22semidirect
58. #2828C22semidirect
59. #2825C22semidirect
60. #2825C22semidirect
61. #2825C22semidirect
62. #2825C22semidirect
63. #2824C22semidirect
64. #2818C22semidirect
65. #2815C22semidirect
66. #2813C22semidirect
67. #2813C22semidirect
68. #2813C22semidirect
69. #2812C22semidirect
70. #2797C22semidirect
71. #2784C22semidirect
72. #2777C22semidirect
73. #2757C22semidirect
74. #2749C22semidirect
75. #2710C22semidirect
76. #2703C22semidirect
77. #2701C22semidirect
78. #2697C22semidirect
79. #2697C22semidirect
80. #2695C22semidirect
81. #2691C22semidirect
82. #2688C22semidirect
83. #2678C22semidirect
84. #2678C22semidirect
85. #2678C22semidirect
86. #2678C22semidirect
87. #2675C22semidirect
88. #2675C22semidirect
89. #2673C22semidirect
90. #2673C22semidirect
91. #2673C22semidirect
92. #2673C22semidirect
93. #2673C22semidirect
94. #2673C22semidirect
95. #2671C22semidirect
96. #2671C22semidirect
101. #2669C22semidirect
102. #2669C22semidirect
103. #2669C22semidirect
105. #2668C22semidirect
106. #2668C22semidirect
107. #2662C22semidirect
108. #2661C22semidirect
109. #2661C22semidirect
111. #2653C22semidirect
112. #2653C22semidirect
113. #2651C22semidirect
114. #2648C22semidirect
115. #2644C22semidirect
116. #2640C22semidirect
117. #2631C22semidirect
118. #2631C22semidirect
119. #2630C22semidirect
120. #2629C22semidirect
121. #2625C22semidirect
123. #2620C22semidirect
125. #2619C22semidirect
126. #2618C22semidirect
128. #2615C22semidirect
129. #2615C22semidirect
130. #2602C22semidirect
131. #2595C22semidirect
132. #2594C22semidirect
133. #2591C22semidirect
134. #2578C22semidirect
135. #2566C22semidirect
136. #2557C22semidirect
137. #2554C22semidirect
138. #2552C22semidirect
140. #2548C22semidirect
142. #2547C22semidirect
143. #2546C22semidirect
145. #2545C22semidirect
146. #2544C22semidirect
147. #2543C22semidirect
148. #2543C22semidirect
154. #2541C22semidirect
155. #2541C22semidirect
156. #2541C22semidirect
157. #2541C22semidirect
158. #2541C22semidirect
159. #2541C22semidirect
160. #2539C22semidirect
163. #2537C22semidirect
164. #2535C22semidirect
165. #2535C22semidirect
166. #2525C22semidirect
167. #2516C22semidirect
168. #2514C22semidirect
170. #2513C22semidirect
171. #2512C22semidirect
172. #2510C22semidirect
173. #2509C22semidirect
175. #2497C22semidirect
176. #2497C22semidirect
177. #2494C22semidirect
178. #2494C22semidirect
182. #2490C22semidirect
183. #2490C22semidirect
184. #2487C22semidirect
185. #2476C22semidirect
186. #2474C22semidirect
187. #2459C22semidirect
188. #2456C22semidirect
189. #2456C22semidirect
190. #2456C22semidirect
191. #2456C22semidirect
192. #2456C22semidirect
193. #2451C22semidirect
198. #2445C22semidirect
199. #2445C22semidirect
200. #2444C22semidirect
201. #2443C22semidirect
202. #2442C22semidirect
203. #2441C22semidirect
204. #2439C22semidirect
210. #2432C22semidirect
214. #2431C22semidirect
215. #2431C22semidirect
216. #2431C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
222. #2428C22semidirect
223. #2428C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2428C22semidirect
228. #2428C22semidirect
230. #2427C22semidirect
232. #2426C22semidirect
233. #2426C22semidirect
234. #2424C22semidirect
235. #2424C22semidirect
236. #2423C22semidirect
238. #2422C22semidirect
239. #2422C22semidirect
240. #2422C22semidirect
241. #2420C22semidirect
244. #2416C22semidirect
245. #2416C22semidirect
246. #2416C22semidirect
247. #2416C22semidirect
250. #2414C22semidirect
251. #2414C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2401C22semidirect
259. #2395C22semidirect
260. #2392C22semidirect
261. #2392C22semidirect
262. #2388C22semidirect
264. #2366C22semidirect
265. #2366C22semidirect
266. #2366C22semidirect
267. #2365C22semidirect
268. #2363C22semidirect
269. #2361C22semidirect
271. Q8×C4⋊C4C22semidirect
272. D4×C4⋊C4C22semidirect
273. #2347C22semidirect
274. #2341C22semidirect
276. #2326C22semidirect
277. #2321C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×#125C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×#123C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. #2297C22semidirect
292. #2297C22semidirect
294. #2293C22semidirect
295. #2290C22semidirect
296. #2283C22semidirect
297. C42×D4C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#594342
#593942
#590662
#590512
#590352
#536192
#535162
#530592
#530002
#529712
#529572
#524842
#429862
#429672
#428422
#424452
#412612
#400532
#399572
#394342
#393862
#393612
#393422
#391472
#376812
#376272
#376182
#375152
#375012
#365962
#364552
#361282
#349372
#347882
#347152