Finite Group Databasebeta

← #7680428

Subgroups — #7680428

Order 512.

5749 conjugacy classes of subgroups.

The subgroup lattice has 1811 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59750C212yesmaximal, complemented
2#59700C212yesmaximal, complemented
3#59637C212yesmaximal, complemented
4#59480C212yesmaximal, complemented
5#59414C212yesmaximal, complemented
6#59394C212yesmaximal, complemented
7#59068C212yesmaximal, complemented
8#59046C212yesmaximal, complemented
9#44442C214yesmaximal, complemented
10#44338C214yesmaximal, complemented
11#43472C214yesmaximal, complemented
12#43440C214yesmaximal, complemented
13#39552C212yesmaximal, complemented
14#39498C211yesmaximal, characteristic, complemented
15#39419C212yesmaximal, complemented
16#39361C211yesmaximal, characteristic, complemented
17#39148C211yesmaximal, characteristic, complemented
18#39147C211yesmaximal, characteristic, complemented
19#38061C212yesmaximal, complemented
20#38056C212yesmaximal, complemented
21#36595C211yesmaximal, characteristic, complemented
22#36555C211yesmaximal, characteristic, complemented
23#36410C211yesmaximal, characteristic, complemented
24#36258C211yesmaximal, characteristic, complemented
25#35601C212yesmaximal, complemented
26#35538C212yesmaximal, complemented
27#35296C212yesmaximal, complemented
28#35278C211yesmaximal, characteristic, complemented
29#34954C211yesmaximal, characteristic, complemented
30#34934C211yesmaximal, characteristic, complemented
31#34313C211yesmaximal, characteristic, complemented
32#34310C211yesmaximal, characteristic, complemented
33#34275C212yesmaximal, complemented
34#34125C211yesmaximal, characteristic, complemented
35C4×#542C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#550C2211yescharacteristic
38C2×#546C2212yes—
39C2×D42C2211yescharacteristic
40C2×#542C2211yescharacteristic
41C2×#540C2212yescomplemented
42C2×#535C2212yes—
43C2×#529C2212yescomplemented
44C2×#520C2212yescomplemented
45C2×#518C2212yes—
46C2×C4×#41C2211yescharacteristic
47#2867C2211yescharacteristic
48#2864C2212yescomplemented
49#2859C2211yescharacteristic, complemented
50#2858C2212yescomplemented
51#2856C2211yescharacteristic
52#2856C2211yescharacteristic, complemented
53#2854C2212yes—
54#2854C2212yescomplemented
55#2807C2214yescomplemented
56#2803C2214yescomplemented
57#2800C2214yescomplemented
58#2797C2214yescomplemented
59#2788C2214yescomplemented
60#2757C2214yescomplemented
61#2756C2214yescomplemented
62#2753C2214yescomplemented
63#2752C2214yescomplemented
64#2749C2214yescomplemented
65#2749C2214yescomplemented
66#2749C2214yescomplemented
67#2714C2214yescomplemented
68#2706C2214yescomplemented
69#2706C2214yescomplemented
70#2705C2214yescomplemented
71#2703C2214yescomplemented
72#2701C2214yescomplemented
73#2688C2214yescomplemented
74#2685C2214yescomplemented
75#2672C2214yescomplemented
76#2670C2214yescomplemented
77#2669C2214yes—
78#2669C2214yes—
79#2644C2212yescomplemented
80#2644C2212yescomplemented
81#2641C2212yescomplemented
82#2628C2212yescomplemented
83#2619C2212yes—
84#2619C2212yescomplemented
85#2602C2214yescomplemented
86#2602C2214yescomplemented
87#2602C2214yescomplemented
88#2600C2214yescomplemented
89#2595C2214yescomplemented
90#2595C2214yescomplemented
91#2593C2214yescomplemented
92#2591C2214yescomplemented
93#2587C2214yescomplemented
94#2584C2212yescomplemented
95#2582C2211yescharacteristic, complemented
96#2580C2212yes—
97#2578C2214yescomplemented
98#2571C2211yescharacteristic, complemented
99#2566C2212yescomplemented
100#2559C2214yescomplemented
101#2557C2214yescomplemented
102#2557C2214yescomplemented
103#2555C2214yescomplemented
104#2554C2214yescomplemented
105#2553C2214yescomplemented
106#2552C2211yescharacteristic, complemented
107#2548C2211yescharacteristic
108#2548C2211yescharacteristic
109#2548C2212yescomplemented
110#2548C2211yescharacteristic, complemented
111#2548C2212yescomplemented
112#2544C2214yescomplemented
113#2541C2211yescharacteristic
114#2539C2214yescomplemented
115#2539C2214yescomplemented
116#2538C2211yescharacteristic
117#2535C2212yescomplemented
118#2534C2214yescomplemented
119#2522C2214yescomplemented
120#2518C2214yescomplemented
121#2518C2214yescomplemented
122#2513C2212yescomplemented
123#2513C2212yescomplemented
124#2513C2212yescomplemented
125#2512C2212yescomplemented
126#2509C2212yescomplemented
127#2504C2212yescomplemented
128#2497C2212yescomplemented
129#2490C2212yescomplemented
130#2490C2212yescomplemented
131#2476C2214yescomplemented
132#2476C2214yescomplemented
133#2474C2214yescomplemented
134#2474C2214yescomplemented
135#2472C2214yescomplemented
136#2471C2214yescomplemented
137#2471C2214yescomplemented
138#2470C2214yescomplemented
139#2466C2214yescomplemented
140#2464C2214yescomplemented
141#2464C2214yescomplemented
142#2457C2214yescomplemented
143#2456C2214yescomplemented
144#2456C2214yescomplemented
145#2455C2214yescomplemented
146#2454C2212yes—
147#2454C2212yes—
148#2453C2212yescomplemented
149#2448C2212yescomplemented
150#2448C2212yescomplemented
151#2445C2212yes—
152#2445C2212yes—
153#2445C2212yescomplemented
154#2445C2212yescomplemented
155#2445C2212yescomplemented
156#2445C2214yescomplemented
157#2445C2212yescomplemented
158#2445C2212yescomplemented
159#2445C2212yescomplemented
160#2442C2212yescomplemented
161#2441C2212yescomplemented
162#2433C2212yes—
163#2433C2212yes—
164#2433C2212yes—
165#2431C2212yes—
166#2431C2212yes—
167#2428C2212yes—
168#2428C2212yes—
169#2428C2212yes—
170#2428C2212yescomplemented
171#2428C2212yescomplemented
172#2428C2212yescomplemented
173#2428C2212yescomplemented
174#2426C2212yes—
175#2426C2212yescomplemented
176#2426C2212yescomplemented
177#2424C2214yes—
178#2424C2214yescomplemented
179#2423C2212yescomplemented
180#2422C2212yescomplemented
181#2422C2212yescomplemented
182#2420C2212yescomplemented
183#2420C2212yescomplemented
184#2418C2214yescomplemented
185#2418C2214yescomplemented
186#2416C2212yes—
187#2416C2212yescomplemented
188#2414C2212yes—
189#2414C2214yescomplemented
190#2414C2212yescomplemented
191#2414C2214yescomplemented
192#2413C2214yescomplemented
193#2412C2214yescomplemented
194#2412C2214yescomplemented
195#2411C2214yes—
196#2411C2214yescomplemented
197#2408C2212yes—
198#2407C2212yescomplemented
199#2395C2214yescomplemented
200#2392C2214yescomplemented
201#2367C2212yescomplemented
202#2366C2211yescharacteristic
203#2366C2212yes—
204#2366C2212yescomplemented
205#2366C2211yescharacteristic, complemented
206#2363C2212yes—
207#2363C2212yescomplemented
208#2363C2214yescomplemented
209#2363C2214yescomplemented
210#2361C2212yes—
211#2361C2214yescomplemented
212#2361C2212yescomplemented
213#2361C2214yescomplemented
214#2361C2214yescomplemented
215#2360C2212yescomplemented
216#2358C2214yes—
217#2358C2214yescomplemented
218#2358C2214yescomplemented
219#2358C2214yescomplemented
220#2358C2214yescomplemented
221#2357C2211yescharacteristic
222#2357C2211yescharacteristic
223#2357C2212yescomplemented
224#2357C2212yescomplemented
225#2354C2211yescharacteristic
226#2351C2211yescharacteristic, complemented
227#2351C2211yescharacteristic, complemented
228Q8×C4⋊C4C2211yescharacteristic, complemented
229D4×C4⋊C4C2211yescharacteristic
230D4×C4⋊C4C2211yescharacteristic
231D4×C4⋊C4C2212yescomplemented
232#2347C2211yescharacteristic, complemented
233#2347C2212yescomplemented
234#2347C2211yescharacteristic, complemented
235#2347C2212yescomplemented
236#2345C2212yescomplemented
237#2341C2211yescharacteristic
238#2341C2211yescharacteristic
239#2341C2212yescomplemented
240D4×C22⋊C4C2212yes—
241D4×C22⋊C4C2212yes—
242D4×C22⋊C4C2212yes—
243#2337C2212yescomplemented
244#2335C2212yescomplemented
245#2334C2212yescomplemented
246#2332C2212yescomplemented
247#2331C2211yescharacteristic, complemented
248#2328C2212yes—
249#2328C2212yescomplemented
250#2326C2211yescharacteristic
251#2326C2212yescomplemented
252#2324C2212yes—
253#2324C2211yescharacteristic
254#2324C2214yescomplemented
255#2324C2212yescomplemented
256#2323C2211yescharacteristic, complemented
257#2321C2214yes—
258#2320C2211yescharacteristic, complemented
259#2319C2211yescharacteristic
260#2317C2212yescomplemented
261#2314C2211yescharacteristic, complemented
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×#127C2211yescharacteristic
264C4×#127C2212yes—
265C4×#127C2212yes—
266C4×#127C2211yescharacteristic, complemented
267C4×#127C2212yescomplemented
268C4×#126C2212yescomplemented
269C4×#124C2211yescharacteristic
270C4×#124C2212yes—
271C4×#124C2212yescomplemented
272C4×#124C2212yescomplemented
273C4×#124C2212yescomplemented
274C4×C22⋊Q8C2211yescharacteristic, complemented
275C4×C22⋊Q8C2212yescomplemented
276C4×#123C2212yescomplemented
277C4×#121C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2212yescomplemented
280#2297C2212yescomplemented
281#2293C2211yescharacteristic
282#2293C2211yescharacteristic
283#2293C2212yescomplemented
284#2293C2212yescomplemented
285#2293C2212yescomplemented
286#2293C2212yescomplemented
287#2293C2212yescomplemented
288#2293C2212yescomplemented
289C2×#390C2212yes—
290C2×#390C2212yes—
291#2283C2212yescomplemented
292#2283C2211yescharacteristic, complemented
293C42×Q8C2211yescharacteristic, complemented
294C42×Q8C2211yescharacteristic, complemented
295C42×Q8C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic, complemented
298C4×#117C2212yescomplemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#559—48no—
304#550—28no—
305#546—48no—
306D42—28no—
307#542—28no—
308#540—48no—
309#535—216no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321#529—48no—
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2311yescharacteristic
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370#520—48no—
371#518—48no—
372C4×#41—28no—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×#117C2311yescharacteristic
415C2×#117C2312yes—
416C2×#117C2311yescharacteristic
417C2×#117C2312yes—
418C2×#117C2311yescharacteristic
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2314yes—
422C2×#117C2314yes—
423C2×#117C2314yes—
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2314yes—
426C22×C4⋊C4C2312yes—
427C22×C22⋊C4C2314yes—
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2314yes—
430C22×C22⋊C4C2314yes—
431C22×C22⋊C4C2314yes—
432C22×C42C2312yes—
433C22×C42C2311yescharacteristic
434C22×C42C2312yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#395C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#393C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2314yes—
559#390C2312yes—
560#390C2314yes—
561#390C2314yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2314yes—
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
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#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#384C2312yes—
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#383C2312yes—
719#383C2312yes—
720#383C2312yes—
721#383C2312yes—
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#382C2312yes—
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2311yescharacteristic
729#382C2312yes—
730#382C2312yes—
731#381C2312yes—
732#381C2314yes—
733#381C2312yes—
734#381C2312yes—
735#381C2312yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2314yes—
749#380C2314yes—
750#379C2314yes—
751#379C2314yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813#376C2311yescharacteristic
814#376C2311yescharacteristic
815#376C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C43C2312yes—
820C43C2311yescharacteristic
821C25C2414yes—
822C2×#41—28no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—28no—
826C2×#41—44no—
827C2×#41—42no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×D4—28no—
832C22×D4—28no—
833C22×D4—28no—
834C22×D4—44no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2411yescharacteristic
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C4⋊Q8—24no—
876#127—28no—
877#127—28no—
878#127—28no—
879#127—24no—
880#127—24no—
881#127—44no—
882#127—44no—
883#127—44no—
884#127—82no—
885#127—82no—
886#126—28no—
887#126—48no—
888#125—44no—
889#125—44no—
890#124—28no—
891#124—28no—
892#124—28no—
893#124—28no—
894#124—48no—
895#124—84no—
896#124#4118yescomplemented
897#123—28no—
898#123—48no—
899#123—48no—
900#123—48no—
901#123—48no—
902#123—48no—
903#123—48no—
904#123—84no—
905#123—84no—
906C22⋊Q8—24no—
907C22⋊Q8—28no—
908C22⋊Q8—28no—
909#121—24no—
910#121—28no—
911#121—28no—
912#121—28no—
913#121—216no—
914#121—216no—
915#121—216no—
916#121—48no—
917#121—48no—
918#121—48no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—82no—
926#121—84no—
927#121—82no—
928#120—216no—
929#120—216no—
930#120—216no—
931#120—48no—
932#120—84no—
933#120—84no—
934C4×Q8—24no—
935C4×Q8—24no—
936C4×Q8—24no—
937C4×Q8—24no—
938C4×Q8—24no—
939C4×Q8—24no—
940C4×Q8—24no—
941C4×Q8—44no—
942C4×Q8—42no—
943C4×Q8—42no—
944C4×Q8—44no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—24no—
951C4×D4—24no—
952C4×D4—28no—
953C4×D4—28no—
954C4×D4—48no—
955C4×D4—48no—
956C4×D4—48no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—48no—
967C4×D4—48no—
968C4×D4—48no—
969C4×D4—82no—
970C4×D4—84no—
971C4×D4—84no—
972C4×D4—82no—
973C4×D4—84no—
974C4×D4#4118yes—
975#117—24no—
976#117—28no—
977#117—28no—
978#117—24no—
979#117—28no—
980#117—24no—
981#117—48no—
982#117—48no—
983#117—44no—
984#117—84no—
985C2×C4⋊C4—44no—
986C2×C4⋊C4—48no—
987C2×C4⋊C4—44no—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C22⋊C4—48no—
1044C2×C22⋊C4—48no—
1045C2×C22⋊C4—48no—
1046C2×C22⋊C4—84no—
1047C2×C22⋊C4—84no—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C42—28no—
1119C2×C42—24no—
1120C2×C42—44no—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2412yes—
1169#95C2412yes—
1170#95C2411yescharacteristic
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2412yes—
1217C24—28no—
1218C24—28no—
1219C24—44no—
1220C24—44no—
1221C24—44no—
1222C24—44no—
1223C24—44no—
1224C24C2514yes—
1225C24C2511yescharacteristic
1226C24C2514yes—
1227C24C2512yes—
1228C24C2512yes—
1229#41—432no—
1230#41—416no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—24no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—42no—
1237C2×Q8—42no—
1238C2×Q8C2×#4114yes—
1239C2×Q8H(5,𝔽2)14yes—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—28no—
1244C2×D4—28no—
1245C2×D4—28no—
1246C2×D4—28no—
1247C2×D4—24no—
1248C2×D4—22no—
1249C2×D4—24no—
1250C2×D4—28no—
1251C2×D4—28no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—28no—
1259C2×D4—28no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—432no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—816no—
1306C2×D4C2×#4114yes—
1307C2×D4C2×#4114yes—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—28no—
1318C22×C4—28no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—28no—
1328C22×C4—28no—
1329C22×C4—44no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—42no—
1339C22×C4—44no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—42no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4C2×#4118yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2512yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2514yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2514yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2512yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—28no—
1411C4⋊C4—22no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4C2×#4114yes—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—28no—
1459C22⋊C4—28no—
1460C22⋊C4—28no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4C2×#4118yes—
1509C22⋊C4C2×#4118yes—
1510C22⋊C4C2×#4118yes—
1511C42—22no—
1512C42—24no—
1513C42—22no—
1514C42—24no—
1515C42—24no—
1516C42—22no—
1517C42—22no—
1518C42—24no—
1519C42—24no—
1520C42—24no—
1521C42—22no—
1522C42—24no—
1523C42—24no—
1524C42—22no—
1525C42—24no—
1526C42—24no—
1527C42—24no—
1528C42—24no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—42no—
1533C42—42no—
1534C42—44no—
1535C42—44no—
1536C42—42no—
1537C42—42no—
1538C42—41no—
1539C42—42no—
1540C42—41no—
1541C42—42no—
1542C42—42no—
1543C42—42no—
1544C42—42no—
1545C42—42no—
1546C42—41no—
1547C42—41no—
1548C42C2×#4114yes—
1549C42C2×#4114yes—
1550C42H(5,𝔽2)14yes—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—21no—
1564C23—21no—
1565C23—24no—
1566C23—24no—
1567C23—24no—
1568C23—24no—
1569C23—24no—
1570C23—24no—
1571C23—21no—
1572C23—24no—
1573C23—24no—
1574C23—21no—
1575C23—24no—
1576C23—24no—
1577C23—21no—
1578C23—21no—
1579C23—24no—
1580C23—24no—
1581C23—24no—
1582C23—24no—
1583C23—21no—
1584C23—416no—
1585C23—88no—
1586C23—88no—
1587C23—88no—
1588C23—88no—
1589C23—164no—
1590C23—164no—
1591C23C22×#4114yes—
1592C23C22×#4114yes—
1593C23C2611yescharacteristic
1594Q8—28no—
1595Q8—28no—
1596Q8—84no—
1597D4—28no—
1598D4—28no—
1599D4—416no—
1600D4—48no—
1601D4—416no—
1602D4—48no—
1603D4—48no—
1604D4—48no—
1605D4—48no—
1606D4—88no—
1607D4—88no—
1608D4—84no—
1609D4—84no—
1610D4—88no—
1611D4—84no—
1612D4—88no—
1613D4—88no—
1614D4—88no—
1615D4—164no—
1616D4—164no—
1617D4—164no—
1618D4—164no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—216no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—24no—
1666C2×C4—24no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—24no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—24no—
1696C2×C4—416no—
1697C2×C4—48no—
1698C2×C4—44no—
1699C2×C4—48no—
1700C2×C4—44no—
1701C2×C4—82no—
1702C2×C4—84no—
1703C2×C4—88no—
1704C2×C4—88no—
1705C2×C4—84no—
1706C2×C4—84no—
1707C2×C4—164no—
1708C2×C4—164no—
1709C2×C4—164no—
1710C2×C4—164no—
1711C2×C4C22×#4114yes—
1712C2×C4C22×#4112yes—
1713C2×C4C22×#4114yes—
1714C2×C4C22×#4112yes—
1715C2×C4C22×#4112yes—
1716C2×C4C22×#4112yes—
1717C2×C4C22×#4112yes—
1718C2×C4C22×#4112yes—
1719C2×C4C2×H(5,𝔽2)12yes—
1720C2×C4C2×H(5,𝔽2)14yes—
1721C2×C4C2×H(5,𝔽2)12yes—
1722C2×C4C2×H(5,𝔽2)12yes—
1723C2×C4C2×H(5,𝔽2)12yes—
1724C2×C4#58512yes—
1725C22—24no—
1726C22—24no—
1727C22—24no—
1728C22—24no—
1729C22—24no—
1730C22—24no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—44no—
1740C22—41no—
1741C22—44no—
1742C22—44no—
1743C22—44no—
1744C22—41no—
1745C22—41no—
1746C22—44no—
1747C22—44no—
1748C22—41no—
1749C22—44no—
1750C22—44no—
1751C22—44no—
1752C22—44no—
1753C22—41no—
1754C22—44no—
1755C22—41no—
1756C22—44no—
1757C22—44no—
1758C22—41no—
1759C22—44no—
1760C22—1616no—
1761C22C23×#4111yescharacteristic
1762C22C23×#4111yescharacteristic
1763C22C22×H(5,𝔽2)11yescharacteristic
1764C22C22×H(5,𝔽2)11yescharacteristic
1765C22C2×#58511yescharacteristic
1766C22H(7,𝔽2)11yescharacteristic
1767C22H(7,𝔽2)11yescharacteristic
1768C4—22no—
1769C4—22no—
1770C4—24no—
1771C4—22no—
1772C4—22no—
1773C4—22no—
1774C4—24no—
1775C4—24no—
1776C4—41no—
1777C4—42no—
1778C4—42no—
1779C4—42no—
1780C4—41no—
1781C4—42no—
1782C4—41no—
1783C4—42no—
1784C4—42no—
1785C4—41no—
1786C4—42no—
1787C4—42no—
1788C4—44no—
1789C4—42no—
1790C4—42no—
1791C4—41no—
1792C4—44no—
1793C4—42no—
1794C4—41no—
1795C4—41no—
1796C4#348114yes—
1797C4#349414yes—
1798C2—44no—
1799C2—44no—
1800C2—84no—
1801C2—81no—
1802C2—84no—
1803C2C2×#348111yescharacteristic
1804C2C2×#349411yescharacteristic
1805C2#6285811yescharacteristic
1806C2#6291611yescharacteristic
1807C2#6296111yescharacteristic
1808C2#6298611yescharacteristic
1809C2#6301011yescharacteristic
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. #59750C2semidirect
2. #59700C2semidirect
3. #59637C2semidirect
4. #59480C2semidirect
5. #59414C2semidirect
6. #59394C2semidirect
7. #59068C2semidirect
8. #59046C2semidirect
9. #44442C2semidirect
10. #44338C2semidirect
11. #43472C2semidirect
12. #43440C2semidirect
13. #39552C2semidirect
14. #39498C2semidirect
15. #39419C2semidirect
16. #39361C2semidirect
17. #39148C2semidirect
18. #39147C2semidirect
19. #38061C2semidirect
20. #38056C2semidirect
21. #36595C2semidirect
22. #36555C2semidirect
23. #36410C2semidirect
24. #36258C2semidirect
25. #35601C2semidirect
26. #35538C2semidirect
27. #35296C2semidirect
28. #35278C2semidirect
29. #34954C2semidirect
30. #34934C2semidirect
31. #34313C2semidirect
32. #34310C2semidirect
33. #34275C2semidirect
34. #34125C2semidirect
35. C4×#542C2semidirect
36. C2×#559C22semidirect
41. C2×#540C22semidirect
43. C2×#529C22semidirect
44. C2×#520C22semidirect
48. #2864C22semidirect
49. #2859C22semidirect
50. #2858C22semidirect
52. #2856C22semidirect
54. #2854C22semidirect
55. #2807C22semidirect
56. #2803C22semidirect
57. #2800C22semidirect
58. #2797C22semidirect
59. #2788C22semidirect
60. #2757C22semidirect
61. #2756C22semidirect
62. #2753C22semidirect
63. #2752C22semidirect
64. #2749C22semidirect
65. #2749C22semidirect
66. #2749C22semidirect
67. #2714C22semidirect
68. #2706C22semidirect
69. #2706C22semidirect
70. #2705C22semidirect
71. #2703C22semidirect
72. #2701C22semidirect
73. #2688C22semidirect
74. #2685C22semidirect
75. #2672C22semidirect
76. #2670C22semidirect
79. #2644C22semidirect
80. #2644C22semidirect
81. #2641C22semidirect
82. #2628C22semidirect
84. #2619C22semidirect
85. #2602C22semidirect
86. #2602C22semidirect
87. #2602C22semidirect
88. #2600C22semidirect
89. #2595C22semidirect
90. #2595C22semidirect
91. #2593C22semidirect
92. #2591C22semidirect
93. #2587C22semidirect
94. #2584C22semidirect
95. #2582C22semidirect
97. #2578C22semidirect
98. #2571C22semidirect
99. #2566C22semidirect
100. #2559C22semidirect
101. #2557C22semidirect
102. #2557C22semidirect
103. #2555C22semidirect
104. #2554C22semidirect
105. #2553C22semidirect
106. #2552C22semidirect
109. #2548C22semidirect
110. #2548C22semidirect
111. #2548C22semidirect
112. #2544C22semidirect
114. #2539C22semidirect
115. #2539C22semidirect
117. #2535C22semidirect
118. #2534C22semidirect
119. #2522C22semidirect
120. #2518C22semidirect
121. #2518C22semidirect
122. #2513C22semidirect
123. #2513C22semidirect
124. #2513C22semidirect
125. #2512C22semidirect
126. #2509C22semidirect
127. #2504C22semidirect
128. #2497C22semidirect
129. #2490C22semidirect
130. #2490C22semidirect
131. #2476C22semidirect
132. #2476C22semidirect
133. #2474C22semidirect
134. #2474C22semidirect
135. #2472C22semidirect
136. #2471C22semidirect
137. #2471C22semidirect
138. #2470C22semidirect
139. #2466C22semidirect
140. #2464C22semidirect
141. #2464C22semidirect
142. #2457C22semidirect
143. #2456C22semidirect
144. #2456C22semidirect
145. #2455C22semidirect
148. #2453C22semidirect
149. #2448C22semidirect
150. #2448C22semidirect
153. #2445C22semidirect
154. #2445C22semidirect
155. #2445C22semidirect
156. #2445C22semidirect
157. #2445C22semidirect
158. #2445C22semidirect
159. #2445C22semidirect
160. #2442C22semidirect
161. #2441C22semidirect
170. #2428C22semidirect
171. #2428C22semidirect
172. #2428C22semidirect
173. #2428C22semidirect
175. #2426C22semidirect
176. #2426C22semidirect
178. #2424C22semidirect
179. #2423C22semidirect
180. #2422C22semidirect
181. #2422C22semidirect
182. #2420C22semidirect
183. #2420C22semidirect
184. #2418C22semidirect
185. #2418C22semidirect
187. #2416C22semidirect
189. #2414C22semidirect
190. #2414C22semidirect
191. #2414C22semidirect
192. #2413C22semidirect
193. #2412C22semidirect
194. #2412C22semidirect
196. #2411C22semidirect
198. #2407C22semidirect
199. #2395C22semidirect
200. #2392C22semidirect
201. #2367C22semidirect
204. #2366C22semidirect
205. #2366C22semidirect
207. #2363C22semidirect
208. #2363C22semidirect
209. #2363C22semidirect
211. #2361C22semidirect
212. #2361C22semidirect
213. #2361C22semidirect
214. #2361C22semidirect
215. #2360C22semidirect
217. #2358C22semidirect
218. #2358C22semidirect
219. #2358C22semidirect
220. #2358C22semidirect
223. #2357C22semidirect
224. #2357C22semidirect
226. #2351C22semidirect
227. #2351C22semidirect
228. Q8×C4⋊C4C22semidirect
231. D4×C4⋊C4C22semidirect
232. #2347C22semidirect
233. #2347C22semidirect
234. #2347C22semidirect
235. #2347C22semidirect
236. #2345C22semidirect
239. #2341C22semidirect
243. #2337C22semidirect
244. #2335C22semidirect
245. #2334C22semidirect
246. #2332C22semidirect
247. #2331C22semidirect
249. #2328C22semidirect
251. #2326C22semidirect
254. #2324C22semidirect
255. #2324C22semidirect
256. #2323C22semidirect
258. #2320C22semidirect
260. #2317C22semidirect
261. #2314C22semidirect
262. C4×C4⋊Q8C22semidirect
266. C4×#127C22semidirect
267. C4×#127C22semidirect
268. C4×#126C22semidirect
271. C4×#124C22semidirect
272. C4×#124C22semidirect
273. C4×#124C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×#123C22semidirect
279. C4×#121C22semidirect
280. #2297C22semidirect
283. #2293C22semidirect
284. #2293C22semidirect
285. #2293C22semidirect
286. #2293C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
291. #2283C22semidirect
292. #2283C22semidirect
293. C42×Q8C22semidirect
294. C42×Q8C22semidirect
295. C42×Q8C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect
896. #124#41semidirect

Maximal subgroups

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

subgroupindex
#597502
#597002
#596372
#594802
#594142
#593942
#590682
#590462
#444422
#443382
#434722
#434402
#395522
#394982
#394192
#393612
#391482
#391472
#380612
#380562
#365952
#365552
#364102
#362582
#356012
#355382
#352962
#352782
#349542
#349342
#343132
#343102
#342752
#341252
C4×#5422