Finite Group Databasebeta

← #7679796

Subgroups — #7679796

Order 512.

5235 conjugacy classes of subgroups.

The subgroup lattice has 1819 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59860C212yesmaximal, complemented
2#59854C212yesmaximal, complemented
3#59687C214yesmaximal, complemented
4#59566C212yesmaximal, complemented
5#59441C212yesmaximal, complemented
6#59345C214yesmaximal, complemented
7#45398C212yesmaximal, complemented
8#45374C212yesmaximal, complemented
9#45162C212yesmaximal, complemented
10#45161C212yesmaximal, complemented
11#43625C214yesmaximal, complemented
12#43247C214yesmaximal, complemented
13#39263C212yesmaximal, complemented
14#39262C212yesmaximal, complemented
15#39257C212yesmaximal, complemented
16#39256C212yesmaximal, complemented
17#39193C212yesmaximal, complemented
18#39188C212yesmaximal, complemented
19#36536C212yesmaximal, complemented
20#36464C212yesmaximal, complemented
21#35629C211yesmaximal, characteristic, complemented
22#35564C211yesmaximal, characteristic, complemented
23#35518C211yesmaximal, characteristic, complemented
24#35518C211yesmaximal, characteristic, complemented
25#35265C211yesmaximal, characteristic, complemented
26#35263C211yesmaximal, characteristic, complemented
27#35255C211yesmaximal, characteristic, complemented
28C2×#2495C211yesmaximal, characteristic, complemented
29#34743C211yesmaximal, characteristic, complemented
30#34252C211yesmaximal, characteristic, complemented
31#34250C211yesmaximal, characteristic, complemented
32#34208C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#532C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2864C2212yescomplemented
49#2859C2212yescomplemented
50#2855C2212yes—
51#2855C2212yescomplemented
52#2854C2212yes—
53#2854C2212yescomplemented
54#2803C2214yes—
55#2803C2214yes—
56#2793C2214yes—
57#2790C2214yescomplemented
58#2783C2214yescomplemented
59#2779C2214yes—
60#2779C2214yescomplemented
61#2778C2214yes—
62#2778C2214yes—
63#2777C2214yescomplemented
64#2777C2214yescomplemented
65#2776C2214yescomplemented
66#2766C2214yescomplemented
67#2765C2214yes—
68#2761C2214yes—
69#2757C2214yes—
70#2757C2214yes—
71#2757C2214yescomplemented
72#2756C2214yescomplemented
73#2746C2214yescomplemented
74#2741C2214yescomplemented
75#2708C2214yescomplemented
76#2703C2214yes—
77#2688C2214yes—
78#2647C2212yescomplemented
79#2647C2212yescomplemented
80#2625C2212yes—
81#2625C2212yescomplemented
82#2624C2212yes—
83#2624C2212yescomplemented
84#2606C2214yescomplemented
85#2600C2214yes—
86#2600C2214yes—
87#2598C2214yescomplemented
88#2597C2214yes—
89#2594C2214yes—
90#2591C2214yescomplemented
91#2587C2214yes—
92#2585C2214yescomplemented
93#2578C2214yes—
94#2578C2214yescomplemented
95#2578C2214yescomplemented
96#2577C2214yescomplemented
97#2577C2214yescomplemented
98#2573C2214yescomplemented
99#2558C2214yes—
100#2558C2214yescomplemented
101#2543C2214yes—
102#2543C2214yes—
103#2538C2212yes—
104#2538C2212yes—
105#2537C2212yes—
106#2537C2212yes—
107#2536C2212yes—
108#2536C2212yes—
109#2535C2212yes—
110#2535C2212yes—
111#2526C2214yes—
112#2525C2214yescomplemented
113#2518C2214yes—
114#2518C2214yes—
115#2518C2214yescomplemented
116#2518C2214yescomplemented
117#2516C2214yes—
118#2516C2214yescomplemented
119#2514C2212yescomplemented
120#2514C2212yescomplemented
121#2513C2212yescomplemented
122#2513C2212yescomplemented
123#2510C2214yes—
124#2510C2214yes—
125#2510C2214yescomplemented
126#2509C2212yescomplemented
127#2508C2212yescomplemented
128#2507C2212yescomplemented
129#2506C2212yescomplemented
130#2505C2214yes—
131#2504C2214yes—
132#2498C2214yes—
133#2497C2214yescomplemented
134#2495C2212yes—
135#2495C2212yes—
136#2495C2212yes—
137#2495C2212yes—
138#2495C2212yes—
139#2495C2212yes—
140#2495C2212yes—
141#2495C2212yes—
142#2495C2212yescomplemented
143#2495C2212yescomplemented
144#2495C2214yescomplemented
145#2494C2212yescomplemented
146#2494C2212yescomplemented
147#2490C2214yes—
148#2487C2212yes—
149#2486C2212yes—
150#2485C2212yes—
151#2485C2212yes—
152#2476C2214yes—
153#2473C2214yes—
154#2464C2214yes—
155#2444C2214yes—
156#2443C2214yes—
157#2443C2214yes—
158#2442C2214yescomplemented
159#2429C2211yescharacteristic
160#2429C2211yescharacteristic
161#2429C2212yescomplemented
162#2428C2211yescharacteristic
163#2428C2211yescharacteristic
164#2428C2212yescomplemented
165#2427C2211yescharacteristic
166#2427C2211yescharacteristic
167#2427C2212yescomplemented
168#2426C2211yescharacteristic
169#2426C2211yescharacteristic
170#2426C2212yescomplemented
171#2425C2212yes—
172#2425C2214yes—
173#2425C2214yes—
174#2425C2212yes—
175#2424C2212yes—
176#2424C2214yes—
177#2424C2214yes—
178#2424C2212yes—
179#2423C2212yescomplemented
180#2422C2214yes—
181#2422C2212yescomplemented
182#2421C2212yescomplemented
183#2420C2212yescomplemented
184#2417C2212yes—
185#2417C2212yes—
186#2417C2212yescomplemented
187#2416C2214yes—
188#2416C2212yes—
189#2416C2212yes—
190#2416C2212yescomplemented
191#2415C2212yes—
192#2415C2212yes—
193#2415C2212yescomplemented
194#2414C2212yes—
195#2414C2212yes—
196#2414C2212yescomplemented
197#2412C2214yes—
198C2×#400C2212yes—
199#2392C2212yes—
200#2392C2212yes—
201C2×#397C2212yes—
202#2364C2214yes—
203#2364C2214yes—
204#2363C2214yes—
205#2363C2211yescharacteristic
206#2363C2211yescharacteristic
207#2362C2211yescharacteristic
208#2362C2211yescharacteristic
209#2361C2211yescharacteristic
210#2361C2211yescharacteristic
211#2360C2211yescharacteristic
212#2360C2211yescharacteristic
213#2359C2212yes—
214#2359C2212yes—
215#2359C2214yes—
216#2358C2212yes—
217#2358C2214yes—
218#2358C2212yes—
219#2357C2212yescomplemented
220#2356C2212yescomplemented
221#2355C2212yescomplemented
222#2354C2212yes—
223#2354C2212yescomplemented
224#2353C2214yes—
225#2353C2214yescomplemented
226#2352C2212yes—
227#2352C2212yes—
228#2352C2212yescomplemented
229#2352C2212yescomplemented
230#2352C2212yescomplemented
231#2352C2212yescomplemented
232#2351C2212yescomplemented
233Q8×C4⋊C4C2212yescomplemented
234#2349C2214yes—
235#2349C2212yescomplemented
236D4×C4⋊C4C2212yes—
237D4×C4⋊C4C2214yes—
238D4×C4⋊C4C2212yescomplemented
239#2347C2212yescomplemented
240#2347C2214yescomplemented
241#2346C2212yescomplemented
242#2345C2212yescomplemented
243#2344C2212yescomplemented
244#2328C2212yescomplemented
245#2327C2212yescomplemented
246#2325C2214yes—
247#2324C2212yes—
248#2324C2212yescomplemented
249#2324C2212yescomplemented
250#2323C2212yes—
251#2323C2212yescomplemented
252#2323C2212yescomplemented
253#2318C2214yes—
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2212yescomplemented
258#2316C2211yescharacteristic
259#2316C2211yescharacteristic
260#2316C2212yescomplemented
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2311C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266C4×#124C2212yescomplemented
267C4×#124C2212yescomplemented
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yescomplemented
270C4×C22⋊Q8C2212yescomplemented
271C4×#121C2214yes—
272C4×#121C2212yes—
273C4×#121C2212yes—
274C4×#121C2212yes—
275C4×#121C2212yescomplemented
276C4×#121C2212yescomplemented
277#2297C2211yescharacteristic
278#2297C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2212yescomplemented
282#2293C2212yes—
283C2×#389C2211yescharacteristic
284C2×#389C2211yescharacteristic
285C2×#389C2212yescomplemented
286#2290C2214yes—
287#2290C2212yes—
288#2290C2212yes—
289C2×#388C2212yes—
290C2×#383C2212yes—
291C2×#382C2211yescharacteristic
292C2×#380C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#537—28no—
304#537—44no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×#127C2311yescharacteristic
308C2×#125C2314yes—
309C2×#124C2311yescharacteristic
310C2×#124C2311yescharacteristic
311#525—28no—
312#525—28no—
313#525—44no—
314C2×#123C2312yes—
315C2×#123C2312yes—
316C2×#123C2312yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×#121C2311yescharacteristic
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#120C2312yes—
349C2×#120C2312yes—
350C2×#120C2312yes—
351#520—28no—
352#520—28no—
353#520—44no—
354C4×#41—44no—
355C4×#41—44no—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×#117—44no—
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2314yes—
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C22×C4⋊C4C2311yescharacteristic
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2314yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C22⋊C4C2312yes—
418C22×C22⋊C4C2311yescharacteristic
419C22×C22⋊C4C2312yes—
420C22×C22⋊C4C2311yescharacteristic
421C22×C22⋊C4C2312yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2312yes—
425C22×C42C2312yes—
426C22×C42C2312yes—
427C22×C42C2312yes—
428#401C2314yes—
429#401C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#399C2314yes—
443#399C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2312yes—
454#398C2312yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#396C2314yes—
475#396C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2312yes—
480#396C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#394C2312yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2312yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2312yes—
506#392C2312yes—
507#392C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2314yes—
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2314yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#385C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2314yes—
710#383C2314yes—
711#383C2314yes—
712#383C2314yes—
713#383C2314yes—
714#383C2314yes—
715#383C2314yes—
716#383C2314yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2314yes—
721#382C2314yes—
722#382C2312yes—
723#382C2314yes—
724#382C2312yes—
725#382C2312yes—
726#382C2312yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2312yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2312yes—
757#380C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810#376C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C2×#95C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41#4118yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C23×C4—24no—
852C23×C4—24no—
853C23×C4—24no—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C4⋊Q8—24no—
881#127—24no—
882#125—84no—
883#124—24no—
884#124—24no—
885#123—28no—
886#123—28no—
887#123—44no—
888#123—84no—
889#123—84no—
890C22⋊Q8—24no—
891C22⋊Q8—24no—
892C22⋊Q8—28no—
893C22⋊Q8—28no—
894C22⋊Q8—24no—
895C22⋊Q8—24no—
896C22⋊Q8—42no—
897C22⋊Q8—42no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900#121—24no—
901#121—24no—
902#121—28no—
903#121—28no—
904#121—28no—
905#121—216no—
906#121—28no—
907#121—24no—
908#121—24no—
909#121—44no—
910#121—48no—
911#121—44no—
912#121—42no—
913#121—42no—
914#121—44no—
915#121—44no—
916#121—48no—
917#121—84no—
918#121—84no—
919#120—28no—
920#120—28no—
921#120—44no—
922C4×Q8—28no—
923C4×Q8—28no—
924C4×Q8—42no—
925C4×Q8—42no—
926C4×Q8—42no—
927C4×Q8—42no—
928C4×Q8—44no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—216no—
934C4×D4—216no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—42no—
940C4×D4—42no—
941C4×D4—42no—
942C4×D4—42no—
943C4×D4—44no—
944C4×D4—48no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—48no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—48no—
955#117—24no—
956#117—24no—
957#117—24no—
958#117—24no—
959#117—28no—
960#117—28no—
961#117—44no—
962#117—44no—
963#117—44no—
964#117—48no—
965#117—44no—
966#117—42no—
967#117—42no—
968#117—44no—
969#117#4118yes—
970C2×C4⋊C4—24no—
971C2×C4⋊C4—24no—
972C2×C4⋊C4—24no—
973C2×C4⋊C4—24no—
974C2×C4⋊C4—28no—
975C2×C4⋊C4—28no—
976C2×C4⋊C4—42no—
977C2×C4⋊C4—42no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4—82no—
980C2×C4⋊C4—84no—
981C2×C4⋊C4—82no—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C22⋊C4—42no—
1042C2×C22⋊C4—42no—
1043C2×C22⋊C4—44no—
1044C2×C22⋊C4—44no—
1045C2×C22⋊C4—82no—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C42—24no—
1111C2×C42—24no—
1112C2×C42—44no—
1113C2×C42—44no—
1114C2×C42—44no—
1115C2×C42—44no—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2414yes—
1152#95C2414yes—
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210C24—22no—
1211C24—22no—
1212C24—22no—
1213C24—22no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24C2511yescharacteristic
1218C24C2512yes—
1219C24C2512yes—
1220C24C2512yes—
1221C24C2511yescharacteristic
1222C24C2511yescharacteristic
1223#41—232no—
1224#41—416no—
1225#41—416no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8C2×#4114yes—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—28no—
1250C2×D4—24no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4C2×#4118yes—
1282C2×D4C2×#4114yes—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—28no—
1317C22×C4—28no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—41no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—42no—
1332C22×C4—41no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—44no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—44no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—41no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—416no—
1358C22×C4C2×#4118yes—
1359C22×C4C2×#4114yes—
1360C22×C4C2×#4114yes—
1361C22×C4H(5,𝔽2)14yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2514yes—
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2514yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2514yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2514yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—28no—
1394C4⋊C4—28no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—28no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4C2×#4114yes—
1449C4⋊C4C2×#4114yes—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—22no—
1460C22⋊C4—28no—
1461C22⋊C4—22no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—28no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—24no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—44no—
1480C22⋊C4—41no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4C2×#4118yes—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—24no—
1519C42—28no—
1520C42—28no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—24no—
1526C42—24no—
1527C42—24no—
1528C42—28no—
1529C42—44no—
1530C42—42no—
1531C42—42no—
1532C42—42no—
1533C42—42no—
1534C42—42no—
1535C42—42no—
1536C42—42no—
1537C42—44no—
1538C42—44no—
1539C42—42no—
1540C42—42no—
1541C42—44no—
1542C42—42no—
1543C42C2×#4118yes—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—22no—
1549C23—21no—
1550C23—21no—
1551C23—22no—
1552C23—21no—
1553C23—21no—
1554C23—22no—
1555C23—22no—
1556C23—21no—
1557C23—22no—
1558C23—22no—
1559C23—21no—
1560C23—22no—
1561C23—21no—
1562C23—21no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—21no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—21no—
1571C23—21no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—21no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—21no—
1581C23—44no—
1582C23—44no—
1583C23—44no—
1584C23—44no—
1585C23—82no—
1586C23—82no—
1587C23—82no—
1588C23C22×#4114yes—
1589C23C22×#4112yes—
1590C23C22×#4112yes—
1591C23C2×H(5,𝔽2)12yes—
1592C23#58512yes—
1593C23C2611yescharacteristic
1594Q8—28no—
1595Q8—44no—
1596Q8—44no—
1597D4—216no—
1598D4—28no—
1599D4—48no—
1600D4—48no—
1601D4—48no—
1602D4—48no—
1603D4—44no—
1604D4—44no—
1605D4—84no—
1606D4—84no—
1607D4—88no—
1608D4—84no—
1609D4—84no—
1610D4—84no—
1611D4—84no—
1612D4—164no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—216no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—24no—
1631C2×C4—24no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—24no—
1654C2×C4—24no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—24no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—24no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—24no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—24no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—44no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—48no—
1698C2×C4—48no—
1699C2×C4—88no—
1700C2×C4—88no—
1701C2×C4—84no—
1702C2×C4—84no—
1703C2×C4—82no—
1704C2×C4—82no—
1705C2×C4—84no—
1706C2×C4—84no—
1707C2×C4—84no—
1708C2×C4—84no—
1709C2×C4—82no—
1710C2×C4—84no—
1711C2×C4—84no—
1712C2×C4—84no—
1713C2×C4—84no—
1714C2×C4—164no—
1715C2×C4#553116yes—
1716C2×C4C22×#4114yes—
1717C2×C4C22×#4114yes—
1718C2×C4C22×#4114yes—
1719C2×C4C22×#4112yes—
1720C2×C4C22×#4112yes—
1721C2×C4C22×#4112yes—
1722C2×C4C22×#4112yes—
1723C2×C4C2×H(5,𝔽2)12yes—
1724C2×C4C2×H(5,𝔽2)12yes—
1725C2×C4#58512yes—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—24no—
1734C22—24no—
1735C22—22no—
1736C22—22no—
1737C22—24no—
1738C22—41no—
1739C22—42no—
1740C22—42no—
1741C22—41no—
1742C22—41no—
1743C22—42no—
1744C22—42no—
1745C22—41no—
1746C22—42no—
1747C22—42no—
1748C22—41no—
1749C22—42no—
1750C22—41no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—41no—
1755C22—41no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—41no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—41no—
1764C22—41no—
1765C22—42no—
1766C22—42no—
1767C22—88no—
1768C22C2×#55314yes—
1769C22C23×#4111yescharacteristic
1770C22C23×#4111yescharacteristic
1771C22C22×H(5,𝔽2)11yescharacteristic
1772C22C2×#58511yescharacteristic
1773C22C2×#58511yescharacteristic
1774C22H(7,𝔽2)11yescharacteristic
1775C222−1+611yescharacteristic
1776C4—24no—
1777C4—24no—
1778C4—22no—
1779C4—24no—
1780C4—41no—
1781C4—41no—
1782C4—42no—
1783C4—41no—
1784C4—44no—
1785C4—41no—
1786C4—42no—
1787C4—44no—
1788C4—44no—
1789C4—41no—
1790C4—42no—
1791C4—42no—
1792C4—42no—
1793C4—42no—
1794C4—41no—
1795C4—41no—
1796C4—42no—
1797C4—44no—
1798C4—42no—
1799C4—41no—
1800C4—41no—
1801C4—42no—
1802C4—42no—
1803C4C2×#55314yes—
1804C4C2×#55314yes—
1805C2—24no—
1806C2—44no—
1807C2—42no—
1808C2—82no—
1809C2—82no—
1810C2—81no—
1811C2C22×#55311yescharacteristic
1812C2#6281011yescharacteristic
1813C2#6285711yescharacteristic
1814C2#6292711yescharacteristic
1815C2#6295711yescharacteristic
1816C2#6299311yescharacteristic
1817C2#6299411yescharacteristic
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. #59860C2semidirect
2. #59854C2semidirect
3. #59687C2semidirect
4. #59566C2semidirect
5. #59441C2semidirect
6. #59345C2semidirect
7. #45398C2semidirect
8. #45374C2semidirect
9. #45162C2semidirect
10. #45161C2semidirect
11. #43625C2semidirect
12. #43247C2semidirect
13. #39263C2semidirect
14. #39262C2semidirect
15. #39257C2semidirect
16. #39256C2semidirect
17. #39193C2semidirect
18. #39188C2semidirect
19. #36536C2semidirect
20. #36464C2semidirect
21. #35629C2semidirect
22. #35564C2semidirect
23. #35518C2semidirect
24. #35518C2semidirect
25. #35265C2semidirect
26. #35263C2semidirect
27. #35255C2semidirect
28. C2×#2495C2semidirect
29. #34743C2semidirect
30. #34252C2semidirect
31. #34250C2semidirect
32. #34208C2semidirect
33. #34202C2semidirect
34. #34136C2semidirect
35. C4×#537C2semidirect
48. #2864C22semidirect
49. #2859C22semidirect
51. #2855C22semidirect
53. #2854C22semidirect
57. #2790C22semidirect
58. #2783C22semidirect
60. #2779C22semidirect
63. #2777C22semidirect
64. #2777C22semidirect
65. #2776C22semidirect
66. #2766C22semidirect
71. #2757C22semidirect
72. #2756C22semidirect
73. #2746C22semidirect
74. #2741C22semidirect
75. #2708C22semidirect
78. #2647C22semidirect
79. #2647C22semidirect
81. #2625C22semidirect
83. #2624C22semidirect
84. #2606C22semidirect
87. #2598C22semidirect
90. #2591C22semidirect
92. #2585C22semidirect
94. #2578C22semidirect
95. #2578C22semidirect
96. #2577C22semidirect
97. #2577C22semidirect
98. #2573C22semidirect
100. #2558C22semidirect
112. #2525C22semidirect
115. #2518C22semidirect
116. #2518C22semidirect
118. #2516C22semidirect
119. #2514C22semidirect
120. #2514C22semidirect
121. #2513C22semidirect
122. #2513C22semidirect
125. #2510C22semidirect
126. #2509C22semidirect
127. #2508C22semidirect
128. #2507C22semidirect
129. #2506C22semidirect
133. #2497C22semidirect
142. #2495C22semidirect
143. #2495C22semidirect
144. #2495C22semidirect
145. #2494C22semidirect
146. #2494C22semidirect
158. #2442C22semidirect
161. #2429C22semidirect
164. #2428C22semidirect
167. #2427C22semidirect
170. #2426C22semidirect
179. #2423C22semidirect
181. #2422C22semidirect
182. #2421C22semidirect
183. #2420C22semidirect
186. #2417C22semidirect
190. #2416C22semidirect
193. #2415C22semidirect
196. #2414C22semidirect
219. #2357C22semidirect
220. #2356C22semidirect
221. #2355C22semidirect
223. #2354C22semidirect
225. #2353C22semidirect
228. #2352C22semidirect
229. #2352C22semidirect
230. #2352C22semidirect
231. #2352C22semidirect
232. #2351C22semidirect
233. Q8×C4⋊C4C22semidirect
235. #2349C22semidirect
238. D4×C4⋊C4C22semidirect
239. #2347C22semidirect
240. #2347C22semidirect
241. #2346C22semidirect
242. #2345C22semidirect
243. #2344C22semidirect
244. #2328C22semidirect
245. #2327C22semidirect
248. #2324C22semidirect
249. #2324C22semidirect
251. #2323C22semidirect
252. #2323C22semidirect
257. #2317C22semidirect
260. #2316C22semidirect
266. C4×#124C22semidirect
267. C4×#124C22semidirect
269. C4×C22⋊Q8C22semidirect
270. C4×C22⋊Q8C22semidirect
275. C4×#121C22semidirect
276. C4×#121C22semidirect
281. #2296C22semidirect
285. C2×#389C22semidirect

Maximal subgroups

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

subgroupindex
#598602
#598542
#596872
#595662
#594412
#593452
#453982
#453742
#451622
#451612
#436252
#432472
#392632
#392622
#392572
#392562
#391932
#391882
#365362
#364642
#356292
#355642
#355182
#352652
#352632
#352552
C2×#24952
#347432
#342522
#342502
#342082
#342022
#341362
C4×#5372