Finite Group Databasebeta

← #7987054

Subgroups — #7987054

Order 512.

4888 conjugacy classes of subgroups.

The subgroup lattice has 1723 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59713C212yesmaximal, complemented
2#59435C211yesmaximal, characteristic, complemented
3#59229C211yesmaximal, characteristic, complemented
4#59214C211yesmaximal, characteristic, complemented
5#59200C212yesmaximal, complemented
6#49936C214yesmaximal, complemented
7#48332C214yesmaximal, complemented
8#45823C214yesmaximal, complemented
9#45253C212yesmaximal, complemented
10#45078C212yesmaximal, complemented
11#45017C212yesmaximal, complemented
12#44893C212yesmaximal, complemented
13#42686C212yesmaximal, complemented
14#42642C212yesmaximal, complemented
15#42606C212yesmaximal, complemented
16#42464C212yesmaximal, complemented
17#39505C211yesmaximal, characteristic, complemented
18#39479C211yesmaximal, characteristic, complemented
19#39369C211yesmaximal, characteristic, complemented
20#38922C211yesmaximal, characteristic, complemented
21#38715C214yesmaximal, complemented
22#38212C212yesmaximal, complemented
23#37858C212yesmaximal, complemented
24#36480C211yesmaximal, characteristic, complemented
25#36250C212yesmaximal, complemented
26#36235C212yesmaximal, complemented
27#36194C211yesmaximal, characteristic, complemented
28#36160C211yesmaximal, characteristic, complemented
29#35196C212yesmaximal, complemented
30#35151C212yesmaximal, complemented
31#34797C211yesmaximal, characteristic, complemented
32#34700C211yesmaximal, characteristic, complemented
33#34485C211yesmaximal, characteristic, complemented
34#34383C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#555C2212yescomplemented
38C2×#544C2212yescomplemented
39C2×#529C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41C22×#117C2212yes—
42#2868C2211yescharacteristic, complemented
43#2863C2212yescomplemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic, complemented
46#2855C2214yescomplemented
47#2855C2214yescomplemented
48#2850C2214yescomplemented
49#2847C2212yes—
50#2826C2214yes—
51#2824C2214yes—
52#2796C2214yescomplemented
53#2795C2214yescomplemented
54#2795C2214yescomplemented
55#2794C2214yescomplemented
56#2783C2214yescomplemented
57#2781C2214yes—
58#2780C2214yes—
59#2775C2214yescomplemented
60#2775C2214yescomplemented
61#2775C2214yescomplemented
62#2772C2214yescomplemented
63#2771C2214yescomplemented
64#2767C2214yescomplemented
65#2754C2214yescomplemented
66#2743C2214yes—
67#2737C2214yes—
68#2735C2214yes—
69#2731C2214yescomplemented
70#2731C2214yescomplemented
71#2730C2214yes—
72#2727C2214yescomplemented
73#2720C2214yescomplemented
74#2715C2214yescomplemented
75#2711C2214yescomplemented
76#2702C2214yes—
77#2702C2214yescomplemented
78#2686C2214yescomplemented
79#2685C2214yes—
80#2685C2214yes—
81#2684C2214yes—
82#2677C2214yescomplemented
83#2676C2214yes—
84#2672C2214yescomplemented
85#2649C2214yes—
86#2649C2214yescomplemented
87#2649C2214yescomplemented
88#2636C2214yes—
89#2628C2212yescomplemented
90#2626C2214yes—
91#2626C2214yes—
92#2624C2212yes—
93#2624C2212yescomplemented
94#2620C2212yes—
95#2612C2214yescomplemented
96#2610C2214yes—
97#2609C2214yes—
98#2605C2214yescomplemented
99#2604C2214yescomplemented
100#2604C2214yescomplemented
101#2587C2214yescomplemented
102#2578C2214yescomplemented
103#2575C2214yes—
104#2573C2214yescomplemented
105#2572C2214yescomplemented
106#2571C2212yescomplemented
107#2571C2212yescomplemented
108#2567C2211yescharacteristic, complemented
109#2566C2212yescomplemented
110#2563C2212yes—
111#2563C2211yescharacteristic
112#2562C2212yescomplemented
113#2552C2211yescharacteristic, complemented
114#2551C2212yescomplemented
115#2551C2211yescharacteristic, complemented
116#2547C2212yescomplemented
117#2545C2214yescomplemented
118#2542C2212yes—
119#2538C2212yes—
120#2538C2212yes—
121#2538C2211yescharacteristic, complemented
122#2537C2212yes—
123#2537C2211yescharacteristic
124#2531C2212yescomplemented
125#2530C2214yescomplemented
126#2529C2212yescomplemented
127#2526C2214yes—
128#2523C2214yescomplemented
129#2521C2214yescomplemented
130#2518C2212yes—
131#2518C2214yescomplemented
132#2516C2214yescomplemented
133#2516C2214yescomplemented
134#2512C2212yes—
135#2512C2212yes—
136#2512C2211yescharacteristic, complemented
137#2509C2212yescomplemented
138#2509C2212yescomplemented
139#2509C2212yescomplemented
140#2507C2211yescharacteristic, complemented
141#2506C2212yescomplemented
142#2500C2211yescharacteristic
143#2500C2212yescomplemented
144#2497C2212yes—
145#2497C2212yes—
146#2497C2212yescomplemented
147#2497C2212yescomplemented
148#2497C2212yescomplemented
149#2496C2212yescomplemented
150#2496C2212yescomplemented
151#2495C2212yescomplemented
152#2495C2211yescharacteristic, complemented
153#2492C2212yes—
154#2492C2212yes—
155#2492C2212yescomplemented
156#2492C2212yescomplemented
157#2491C2212yes—
158#2491C2212yes—
159#2491C2212yescomplemented
160#2490C2211yescharacteristic, complemented
161#2487C2212yes—
162#2485C2212yes—
163#2485C2211yescharacteristic
164#2485C2212yescomplemented
165#2485C2212yescomplemented
166#2485C2212yescomplemented
167#2480C2212yes—
168#2477C2214yescomplemented
169#2476C2214yescomplemented
170#2475C2214yescomplemented
171#2474C2214yescomplemented
172#2474C2214yescomplemented
173#2472C2214yes—
174#2472C2214yes—
175#2468C2212yes—
176#2467C2212yes—
177#2466C2214yescomplemented
178#2465C2214yes—
179#2459C2214yes—
180#2457C2212yes—
181#2454C2211yescharacteristic
182#2452C2212yes—
183#2448C2212yes—
184#2447C2211yescharacteristic
185#2442C2211yescharacteristic
186#2441C2214yes—
187#2441C2212yes—
188#2441C2211yescharacteristic
189#2441C2212yescomplemented
190#2441C2212yescomplemented
191#2441C2212yescomplemented
192#2441C2214yescomplemented
193#2441C2212yescomplemented
194#2440C2212yescomplemented
195#2439C2214yes—
196#2439C2212yes—
197#2439C2212yes—
198#2439C2214yescomplemented
199#2439C2212yescomplemented
200#2439C2212yescomplemented
201#2439C2212yescomplemented
202#2435C2211yescharacteristic
203#2427C2212yes—
204#2427C2211yescharacteristic
205#2426C2214yescomplemented
206#2424C2214yes—
207#2421C2214yescomplemented
208#2420C2212yes—
209#2420C2211yescharacteristic
210#2420C2212yescomplemented
211#2418C2212yes—
212#2417C2211yescharacteristic
213#2416C2212yes—
214#2416C2212yescomplemented
215#2415C2212yescomplemented
216#2414C2212yes—
217#2414C2211yescharacteristic
218#2408C2212yes—
219#2408C2211yescharacteristic
220#2395C2212yes—
221#2395C2212yes—
222#2392C2212yes—
223#2392C2212yes—
224#2379C2214yescomplemented
225#2376C2214yescomplemented
226#2373C2214yescomplemented
227#2370C2212yescomplemented
228#2369C2211yescharacteristic, complemented
229#2369C2212yescomplemented
230#2367C2212yes—
231#2365C2212yescomplemented
232#2363C2212yes—
233#2363C2212yes—
234#2361C2212yes—
235#2361C2212yescomplemented
236#2360C2212yescomplemented
237#2356C2212yescomplemented
238#2355C2212yescomplemented
239#2355C2211yescharacteristic, complemented
240#2354C2211yescharacteristic
241#2354C2211yescharacteristic
242#2354C2211yescharacteristic
243#2354C2212yes—
244#2354C2212yescomplemented
245#2352C2212yes—
246#2352C2212yes—
247#2352C2212yes—
248#2352C2212yescomplemented
249Q8×C4⋊C4C2211yescharacteristic, complemented
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2211yescharacteristic, complemented
253#2347C2212yes—
254#2346C2212yescomplemented
255#2346C2212yescomplemented
256#2346C2212yescomplemented
257#2344C2212yes—
258#2344C2212yescomplemented
259#2342C2214yes—
260D4×C22⋊C4C2212yes—
261#2334C2214yescomplemented
262#2326C2214yescomplemented
263#2324C2212yes—
264#2324C2212yes—
265#2324C2212yescomplemented
266#2323C2212yescomplemented
267#2317C2212yescomplemented
268#2317C2212yescomplemented
269#2317C2212yescomplemented
270#2316C2212yescomplemented
271#2314C2212yescomplemented
272#2314C2212yescomplemented
273#2314C2212yescomplemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2212yescomplemented
276C4×#125C2211yescharacteristic, complemented
277C4×#126C2212yescomplemented
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic, complemented
283C4×#120C2212yes—
284#2293C2212yes—
285#2293C2211yescharacteristic
286#2293C2212yescomplemented
287#2293C2211yescharacteristic, complemented
288#2290C2214yes—
289#2290C2214yescomplemented
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic, complemented
292#2285C2211yescharacteristic, complemented
293#2280C2212yes—
294#2280C2212yes—
295#2280C2212yes—
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#555—28no—
302#555—48no—
303#544—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2312yes—
311#529—28no—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#124C2314yes—
321C2×#124C2311yescharacteristic
322C2×#124C2314yes—
323C2×#124C2311yescharacteristic
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#123C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×#121C2311yescharacteristic
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#120C2312yes—
346C2×#120C2314yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2314yes—
351C2×C4×D4—28no—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×#117—48no—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2314yes—
382C2×#117C2314yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2314yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C22⋊C4C2312yes—
392C22×C22⋊C4C2314yes—
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#399C2314yes—
411#399C2314yes—
412#399C2312yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2312yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2312yes—
422#398C2312yes—
423#398C2312yes—
424#397C2312yes—
425#397C2314yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2312yes—
457#396C2312yes—
458#396C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2314yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#394C2312yes—
484#394C2314yes—
485#394C2312yes—
486#394C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#392C2312yes—
496#392C2314yes—
497#392C2312yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2312yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2314yes—
512#390C2314yes—
513#390C2312yes—
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2311yescharacteristic
517#390C2314yes—
518#390C2312yes—
519#390C2314yes—
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#390C2314yes—
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2314yes—
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2314yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2312yes—
701#383C2312yes—
702#383C2314yes—
703#383C2314yes—
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2314yes—
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2314yes—
711#382C2314yes—
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#381C2312yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2312yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#379C2314yes—
753#379C2312yes—
754#379C2314yes—
755#379C2312yes—
756#379C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2314yes—
812#376C2314yes—
813#376C2312yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C25C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×D4—24no—
822C22×D4—42no—
823C22×D4—42no—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C23×C4—28no—
836C23×C4—28no—
837C23×C4—44no—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2414yes—
853C4⋊Q8—28no—
854C4⋊Q8—24no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8—48no—
859C4⋊Q8—82no—
860#126—28no—
861#126—48no—
862#126—44no—
863#126—84no—
864#125—24no—
865#125—24no—
866#125—44no—
867#125—48no—
868#124—24no—
869#124—216no—
870#124—42no—
871#124—48no—
872#124—48no—
873#124—84no—
874#123—28no—
875C22⋊Q8—24no—
876C22⋊Q8—48no—
877C22⋊Q8—44no—
878C22⋊Q8—42no—
879C22⋊Q8—48no—
880C22⋊Q8—82no—
881C22⋊Q8—84no—
882C22⋊Q8—82no—
883#121—24no—
884#121—28no—
885#121—28no—
886#121—24no—
887#121—24no—
888#121—48no—
889#121—42no—
890#121—44no—
891#121—44no—
892#121—84no—
893#120—44no—
894#120—84no—
895C4×Q8—24no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—84no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—48no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—42no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—42no—
915C4×D4—44no—
916C4×D4#4118yes—
917#117—28no—
918#117—28no—
919#117—24no—
920#117—28no—
921#117—24no—
922#117—28no—
923#117—44no—
924#117—44no—
925#117—44no—
926#117—48no—
927#117—48no—
928#117—48no—
929#117—44no—
930#117—44no—
931#117—44no—
932#117—44no—
933C2×C4⋊C4—24no—
934C2×C4⋊C4—28no—
935C2×C4⋊C4—44no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C22⋊C4—28no—
1006C2×C22⋊C4—48no—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C42—24no—
1074C2×C42—24no—
1075C2×C42—48no—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2414yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2414yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174C24—24no—
1175C24—24no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24—42no—
1180C24—42no—
1181C24C2512yes—
1182C24C2512yes—
1183C24C2511yescharacteristic
1184C24C2512yes—
1185C24C2511yescharacteristic
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—28no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—42no—
1192C2×Q8—44no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—28no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—41no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—416no—
1231C2×D4C2×#4114yes—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—28no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—432no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4C2×#4118yes—
1277C22×C42−1+414yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2514yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—28no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—41no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4C2×#4114yes—
1375C4⋊C4H(5,𝔽2)14yes—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—22no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—22no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4C2×#4118yes—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—28no—
1449C42—24no—
1450C42—24no—
1451C42—28no—
1452C42—22no—
1453C42—24no—
1454C42—24no—
1455C42—22no—
1456C42—24no—
1457C42—22no—
1458C42—24no—
1459C42—24no—
1460C42—22no—
1461C42—28no—
1462C42—22no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42—42no—
1469C42—44no—
1470C42—44no—
1471C42—42no—
1472C42—41no—
1473C42C2×#4114yes—
1474C23—21no—
1475C23—21no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—22no—
1483C23—22no—
1484C23—21no—
1485C23—22no—
1486C23—22no—
1487C23—21no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—21no—
1492C23—21no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—21no—
1498C23—22no—
1499C23—21no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—21no—
1504C23—22no—
1505C23—21no—
1506C23—22no—
1507C23—48no—
1508C23—48no—
1509C23—84no—
1510C23—84no—
1511C23—84no—
1512C23—84no—
1513C23—84no—
1514C23C22×#4114yes—
1515C23C2×2−1+412yes—
1516C23C2611yescharacteristic
1517Q8—44no—
1518Q8—84no—
1519Q8—88no—
1520Q8—164no—
1521D4—28no—
1522D4—44no—
1523D4—48no—
1524D4—44no—
1525D4—44no—
1526D4—84no—
1527D4—84no—
1528D4—88no—
1529D4—84no—
1530D4—84no—
1531D4—164no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—28no—
1543C2×C4—216no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—24no—
1608C2×C4—21no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—21no—
1613C2×C4—48no—
1614C2×C4—48no—
1615C2×C4—48no—
1616C2×C4—44no—
1617C2×C4—48no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—48no—
1621C2×C4—82no—
1622C2×C4—82no—
1623C2×C4—88no—
1624C2×C4—88no—
1625C2×C4—88no—
1626C2×C4C22×#4112yes—
1627C2×C4C22×#4114yes—
1628C2×C4C22×#4112yes—
1629C2×C4C22×#4112yes—
1630C2×C4C2×H(5,𝔽2)14yes—
1631C2×C4C2×H(5,𝔽2)12yes—
1632C2×C4C2×2−1+412yes—
1633C2×C4C2×2−1+412yes—
1634C2×C4#58512yes—
1635C2×C4#58512yes—
1636C2×C4#58512yes—
1637C22—24no—
1638C22—22no—
1639C22—22no—
1640C22—24no—
1641C22—24no—
1642C22—22no—
1643C22—41no—
1644C22—42no—
1645C22—42no—
1646C22—41no—
1647C22—41no—
1648C22—42no—
1649C22—41no—
1650C22—42no—
1651C22—41no—
1652C22—42no—
1653C22—42no—
1654C22—41no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—41no—
1659C22—42no—
1660C22—42no—
1661C22—41no—
1662C22—42no—
1663C22—42no—
1664C22—41no—
1665C22—42no—
1666C22—41no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—41no—
1671C22—42no—
1672C22—816no—
1673C22C23×#4111yescharacteristic
1674C22C22×H(5,𝔽2)11yescharacteristic
1675C22C22×2−1+411yescharacteristic
1676C22C2×#58511yescharacteristic
1677C22C2×#58511yescharacteristic
1678C22C2×#58511yescharacteristic
1679C22H(7,𝔽2)11yescharacteristic
1680C4—22no—
1681C4—22no—
1682C4—22no—
1683C4—24no—
1684C4—24no—
1685C4—41no—
1686C4—41no—
1687C4—42no—
1688C4—44no—
1689C4—42no—
1690C4—41no—
1691C4—42no—
1692C4—44no—
1693C4—42no—
1694C4—42no—
1695C4—41no—
1696C4—42no—
1697C4—42no—
1698C4—41no—
1699C4—41no—
1700C4—42no—
1701C4—44no—
1702C4—44no—
1703C4—42no—
1704C4—41no—
1705C4—41no—
1706C4—42no—
1707C4—42no—
1708C4#349314yes—
1709C4#352014yes—
1710C2—44no—
1711C2—42no—
1712C2—81no—
1713C2—82no—
1714C2—82no—
1715C2#6275211yescharacteristic
1716C2C2×#352011yescharacteristic
1717C2C2×#349311yescharacteristic
1718C2#6292011yescharacteristic
1719C2#6292911yescharacteristic
1720C2#6299411yescharacteristic
1721C2#6302211yescharacteristic
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. #59713C2semidirect
2. #59435C2semidirect
3. #59229C2semidirect
4. #59214C2semidirect
5. #59200C2semidirect
6. #49936C2semidirect
7. #48332C2semidirect
8. #45823C2semidirect
9. #45253C2semidirect
10. #45078C2semidirect
11. #45017C2semidirect
12. #44893C2semidirect
13. #42686C2semidirect
14. #42642C2semidirect
15. #42606C2semidirect
16. #42464C2semidirect
17. #39505C2semidirect
18. #39479C2semidirect
19. #39369C2semidirect
20. #38922C2semidirect
21. #38715C2semidirect
22. #38212C2semidirect
23. #37858C2semidirect
24. #36480C2semidirect
25. #36250C2semidirect
26. #36235C2semidirect
27. #36194C2semidirect
28. #36160C2semidirect
29. #35196C2semidirect
30. #35151C2semidirect
31. #34797C2semidirect
32. #34700C2semidirect
33. #34485C2semidirect
34. #34383C2semidirect
35. D4×#117C2semidirect
37. C2×#555C22semidirect
38. C2×#544C22semidirect
42. #2868C22semidirect
43. #2863C22semidirect
45. #2857C22semidirect
46. #2855C22semidirect
47. #2855C22semidirect
48. #2850C22semidirect
52. #2796C22semidirect
53. #2795C22semidirect
54. #2795C22semidirect
55. #2794C22semidirect
56. #2783C22semidirect
59. #2775C22semidirect
60. #2775C22semidirect
61. #2775C22semidirect
62. #2772C22semidirect
63. #2771C22semidirect
64. #2767C22semidirect
65. #2754C22semidirect
69. #2731C22semidirect
70. #2731C22semidirect
72. #2727C22semidirect
73. #2720C22semidirect
74. #2715C22semidirect
75. #2711C22semidirect
77. #2702C22semidirect
78. #2686C22semidirect
82. #2677C22semidirect
84. #2672C22semidirect
86. #2649C22semidirect
87. #2649C22semidirect
89. #2628C22semidirect
93. #2624C22semidirect
95. #2612C22semidirect
98. #2605C22semidirect
99. #2604C22semidirect
100. #2604C22semidirect
101. #2587C22semidirect
102. #2578C22semidirect
104. #2573C22semidirect
105. #2572C22semidirect
106. #2571C22semidirect
107. #2571C22semidirect
108. #2567C22semidirect
109. #2566C22semidirect
112. #2562C22semidirect
113. #2552C22semidirect
114. #2551C22semidirect
115. #2551C22semidirect
116. #2547C22semidirect
117. #2545C22semidirect
121. #2538C22semidirect
124. #2531C22semidirect
125. #2530C22semidirect
126. #2529C22semidirect
128. #2523C22semidirect
129. #2521C22semidirect
131. #2518C22semidirect
132. #2516C22semidirect
133. #2516C22semidirect
136. #2512C22semidirect
137. #2509C22semidirect
138. #2509C22semidirect
139. #2509C22semidirect
140. #2507C22semidirect
141. #2506C22semidirect
143. #2500C22semidirect
146. #2497C22semidirect
147. #2497C22semidirect
148. #2497C22semidirect
149. #2496C22semidirect
150. #2496C22semidirect
151. #2495C22semidirect
152. #2495C22semidirect
155. #2492C22semidirect
156. #2492C22semidirect
159. #2491C22semidirect
160. #2490C22semidirect
164. #2485C22semidirect
165. #2485C22semidirect
166. #2485C22semidirect
168. #2477C22semidirect
169. #2476C22semidirect
170. #2475C22semidirect
171. #2474C22semidirect
172. #2474C22semidirect
177. #2466C22semidirect
189. #2441C22semidirect
190. #2441C22semidirect
191. #2441C22semidirect
192. #2441C22semidirect
193. #2441C22semidirect
194. #2440C22semidirect
198. #2439C22semidirect
199. #2439C22semidirect
200. #2439C22semidirect
201. #2439C22semidirect
205. #2426C22semidirect
207. #2421C22semidirect
210. #2420C22semidirect
214. #2416C22semidirect
215. #2415C22semidirect
224. #2379C22semidirect
225. #2376C22semidirect
226. #2373C22semidirect
227. #2370C22semidirect
228. #2369C22semidirect
229. #2369C22semidirect
231. #2365C22semidirect
235. #2361C22semidirect
236. #2360C22semidirect
237. #2356C22semidirect
238. #2355C22semidirect
239. #2355C22semidirect
244. #2354C22semidirect
248. #2352C22semidirect
249. Q8×C4⋊C4C22semidirect
252. D4×C4⋊C4C22semidirect
254. #2346C22semidirect
255. #2346C22semidirect
256. #2346C22semidirect
258. #2344C22semidirect
261. #2334C22semidirect
262. #2326C22semidirect
265. #2324C22semidirect
266. #2323C22semidirect
267. #2317C22semidirect
268. #2317C22semidirect
269. #2317C22semidirect
270. #2316C22semidirect
271. #2314C22semidirect
272. #2314C22semidirect
273. #2314C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×#125C22semidirect
277. C4×#126C22semidirect
282. C4×#121C22semidirect
286. #2293C22semidirect
287. #2293C22semidirect
289. #2290C22semidirect
291. #2285C22semidirect
292. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#597132
#594352
#592292
#592142
#592002
#499362
#483322
#458232
#452532
#450782
#450172
#448932
#426862
#426422
#426062
#424642
#395052
#394792
#393692
#389222
#387152
#382122
#378582
#364802
#362502
#362352
#361942
#361602
#351962
#351512
#347972
#347002
#344852
#343832
D4×#1172