Finite Group Databasebeta

← #7720367

Subgroups — #7720367

Order 512.

4726 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#51494C214yesmaximal, complemented
2#51400C214yesmaximal, complemented
3#51307C214yesmaximal, complemented
4#50995C214yesmaximal, complemented
5#45383C212yesmaximal, complemented
6#45381C212yesmaximal, complemented
7#45295C212yesmaximal, complemented
8#45086C212yesmaximal, complemented
9#45083C212yesmaximal, complemented
10#45081C212yesmaximal
11#45081C212yesmaximal
12#45080C212yesmaximal, complemented
13#39609C211yesmaximal, characteristic, complemented
14#39607C211yesmaximal, characteristic, complemented
15#39490C211yesmaximal, characteristic, complemented
16#39369C211yesmaximal, characteristic, complemented
17#37938C212yesmaximal, complemented
18#37856C212yesmaximal, complemented
19#37853C212yesmaximal, complemented
20#37757C212yesmaximal, complemented
21#37415C212yesmaximal, complemented
22#37347C212yesmaximal, complemented
23#36175C211yesmaximal, characteristic, complemented
24#36161C211yesmaximal, characteristic
25#36154C211yesmaximal, characteristic
26#36134C211yesmaximal, characteristic, complemented
27#35325C212yesmaximal, complemented
28#35283C211yesmaximal, characteristic, complemented
29#35253C212yesmaximal, complemented
30#35206C211yesmaximal, characteristic, complemented
31#35177C211yesmaximal, characteristic, complemented
32#34629C211yesmaximal, characteristic, complemented
33#34484C211yesmaximal, characteristic, complemented
34#34481C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#544C2212yescomplemented
39C2×#533C2212yescomplemented
40C22×C4×D4C2211yescharacteristic
41C22×#117C2212yes—
42#2868C2211yescharacteristic, complemented
43#2862C2211yescharacteristic, complemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2212yescomplemented
47#2857C2212yescomplemented
48#2855C2212yescomplemented
49#2855C2212yescomplemented
50#2851C2212yescomplemented
51#2851C2212yescomplemented
52#2848C2212yes—
53#2848C2212yes—
54#2810C2214yescomplemented
55#2807C2214yescomplemented
56#2791C2214yescomplemented
57#2789C2214yescomplemented
58#2787C2214yescomplemented
59#2776C2214yescomplemented
60#2774C2214yescomplemented
61#2771C2214yescomplemented
62#2764C2214yescomplemented
63#2758C2214yescomplemented
64#2755C2214yescomplemented
65#2747C2214yescomplemented
66#2746C2214yes—
67#2746C2214yes—
68#2745C2214yes—
69#2744C2214yescomplemented
70#2744C2214yescomplemented
71#2743C2214yes—
72#2743C2214yes—
73#2742C2214yes—
74#2742C2214yescomplemented
75#2739C2214yescomplemented
76#2738C2214yes—
77#2738C2214yescomplemented
78#2738C2214yescomplemented
79#2738C2214yescomplemented
80#2735C2214yes—
81#2735C2214yes—
82#2729C2214yescomplemented
83#2728C2214yes—
84#2728C2214yes—
85#2720C2214yescomplemented
86#2720C2214yescomplemented
87#2719C2214yescomplemented
88#2704C2214yes—
89#2690C2214yescomplemented
90#2690C2214yescomplemented
91#2689C2214yescomplemented
92#2689C2214yescomplemented
93#2677C2214yescomplemented
94#2665C2214yescomplemented
95#2655C2212yescomplemented
96#2655C2212yescomplemented
97#2652C2212yes—
98#2652C2212yes—
99#2652C2214yescomplemented
100#2647C2212yescomplemented
101#2647C2211yescharacteristic, complemented
102#2645C2211yescharacteristic, complemented
103#2645C2211yescharacteristic, complemented
104#2642C2211yescharacteristic, complemented
105#2629C2211yescharacteristic
106#2629C2212yes—
107#2628C2212yes—
108#2628C2212yes—
109#2628C2212yescomplemented
110#2625C2211yescharacteristic
111#2625C2211yescharacteristic
112#2621C2211yescharacteristic
113#2621C2212yescomplemented
114#2611C2214yes—
115#2611C2214yescomplemented
116#2611C2214yescomplemented
117#2599C2214yes—
118#2599C2214yescomplemented
119#2583C2214yescomplemented
120#2577C2214yescomplemented
121#2573C2214yes—
122#2568C2211yescharacteristic, complemented
123#2567C2212yescomplemented
124#2567C2211yescharacteristic, complemented
125#2563C2211yescharacteristic
126#2561C2214yes—
127#2561C2214yes—
128#2556C2214yescomplemented
129#2552C2212yescomplemented
130#2552C2212yescomplemented
131#2552C2211yescharacteristic, complemented
132#2551C2212yescomplemented
133#2551C2211yescharacteristic, complemented
134#2547C2211yescharacteristic
135#2542C2212yes—
136#2542C2212yes—
137#2538C2211yescharacteristic
138#2538C2211yescharacteristic
139#2533C2214yescomplemented
140#2527C2214yescomplemented
141#2523C2214yescomplemented
142#2522C2214yescomplemented
143#2515C2214yes—
144#2515C2214yescomplemented
145#2514C2212yescomplemented
146#2511C2212yescomplemented
147#2511C2212yescomplemented
148#2511C2212yescomplemented
149#2511C2212yescomplemented
150#2509C2212yescomplemented
151#2509C2212yescomplemented
152#2507C2212yescomplemented
153#2506C2212yescomplemented
154#2506C2212yescomplemented
155#2503C2212yescomplemented
156#2499C2212yescomplemented
157#2497C2212yes—
158#2497C2212yes—
159#2497C2212yescomplemented
160#2495C2212yescomplemented
161#2495C2212yescomplemented
162#2494C2212yescomplemented
163#2493C2214yescomplemented
164#2492C2212yes—
165#2492C2212yes—
166#2492C2212yes—
167#2492C2212yescomplemented
168#2489C2212yescomplemented
169#2487C2212yes—
170#2485C2212yes—
171#2484C2214yescomplemented
172#2482C2214yes—
173#2482C2214yes—
174#2480C2214yes—
175#2477C2214yes—
176#2477C2214yes—
177#2475C2214yescomplemented
178#2466C2214yes—
179#2465C2214yescomplemented
180#2454C2212yes—
181#2453C2212yescomplemented
182#2453C2212yescomplemented
183#2453C2212yescomplemented
184#2452C2212yes—
185#2452C2212yes—
186#2451C2212yescomplemented
187#2451C2212yescomplemented
188#2451C2212yescomplemented
189#2450C2214yes—
190#2447C2212yes—
191#2447C2212yes—
192#2447C2212yes—
193#2447C2212yes—
194#2447C2212yes—
195#2446C2214yescomplemented
196#2442C2212yes—
197#2442C2214yescomplemented
198#2441C2214yes—
199#2441C2214yescomplemented
200#2441C2212yescomplemented
201#2440C2214yescomplemented
202#2440C2212yescomplemented
203#2439C2214yes—
204#2438C2214yescomplemented
205#2438C2214yescomplemented
206#2438C2214yescomplemented
207#2437C2214yes—
208#2437C2214yes—
209#2437C2214yes—
210#2435C2212yes—
211#2429C2214yescomplemented
212#2423C2212yes—
213#2423C2212yes—
214#2423C2212yes—
215#2423C2212yescomplemented
216#2423C2212yescomplemented
217#2421C2214yescomplemented
218#2417C2212yes—
219#2415C2212yes—
220#2402C2212yescomplemented
221#2402C2212yescomplemented
222#2401C2212yes—
223#2401C2212yes—
224#2383C2214yescomplemented
225#2378C2214yescomplemented
226#2370C2212yescomplemented
227#2369C2211yescharacteristic, complemented
228#2367C2212yes—
229#2367C2212yes—
230#2367C2212yes—
231#2365C2212yescomplemented
232#2365C2211yescharacteristic, complemented
233#2362C2212yescomplemented
234#2360C2212yes—
235#2360C2212yescomplemented
236#2356C2212yescomplemented
237#2354C2212yes—
238#2354C2212yes—
239#2354C2211yescharacteristic
240#2354C2211yescharacteristic
241#2354C2211yescharacteristic
242#2352C2212yes—
243#2352C2212yes—
244Q8×C4⋊C4C2212yescomplemented
245Q8×C4⋊C4C2211yescharacteristic, complemented
246Q8×C4⋊C4C2211yescharacteristic, complemented
247#2349C2212yes—
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251#2347C2212yescomplemented
252#2344C2211yescharacteristic
253#2344C2211yescharacteristic
254#2344C2212yescomplemented
255#2342C2212yes—
256#2342C2212yes—
257D4×C22⋊C4C2212yes—
258D4×C22⋊C4C2211yescharacteristic
259D4×C22⋊C4C2211yescharacteristic
260#2334C2214yescomplemented
261#2331C2212yescomplemented
262#2331C2212yescomplemented
263#2330C2212yescomplemented
264#2326C2212yes—
265#2326C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2323C2214yescomplemented
269#2323C2212yescomplemented
270#2323C2212yescomplemented
271#2320C2212yescomplemented
272#2320C2212yescomplemented
273#2319C2212yes—
274#2319C2212yes—
275#2317C2212yescomplemented
276#2317C2212yescomplemented
277#2316C2212yescomplemented
278#2314C2212yes—
279C4×C4⋊Q8C2211yescharacteristic, complemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×#125C2211yescharacteristic, complemented
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285#2295C2211yescharacteristic, complemented
286#2295C2211yescharacteristic, complemented
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic
289#2290C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2283C2212yescomplemented
293#2280C2212yes—
294#2280C2212yes—
295C2×#380C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#556—28no—
302#554—28no—
303#544—48no—
304#533—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2312yes—
314C2×#126C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2314yes—
346C2×C4×Q8C2312yes—
347C2×C4×D4—28no—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×#117—48no—
361C2×#117C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2314yes—
373C2×#117C2314yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2314yes—
383C22×C42C2312yes—
384C22×C42C2311yescharacteristic
385C22×C42C2312yes—
386#401C2312yes—
387#401C2312yes—
388#401C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2312yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2312yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#394C2314yes—
484#394C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2312yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2314yes—
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2314yes—
539#389C2311yescharacteristic
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2314yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2314yes—
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#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2314yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2314yes—
698#384C2312yes—
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2312yes—
703#383C2314yes—
704#383C2314yes—
705#383C2314yes—
706#383C2314yes—
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#382C2314yes—
714#382C2312yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2312yes—
720#381C2312yes—
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2314yes—
751#380C2314yes—
752#379C2314yes—
753#379C2312yes—
754#379C2314yes—
755#379C2312yes—
756#379C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2311yescharacteristic
811#376C2314yes—
812#376C2311yescharacteristic
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×D4—24no—
824C22×D4—24no—
825C22×D4—42no—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C23×C4—28no—
830C23×C4—28no—
831C23×C4—44no—
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—28no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—48no—
854C4⋊Q8—82no—
855#126—216no—
856#125—28no—
857#125—24no—
858#125—48no—
859#125—44no—
860#125—48no—
861#125—84no—
862#124—28no—
863#124—28no—
864C22⋊Q8—28no—
865C22⋊Q8—28no—
866C22⋊Q8—24no—
867C22⋊Q8—24no—
868C22⋊Q8—216no—
869C22⋊Q8—48no—
870C22⋊Q8—48no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—48no—
875C22⋊Q8—82no—
876C22⋊Q8—84no—
877C22⋊Q8—84no—
878C22⋊Q8—84no—
879C4×Q8—28no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—48no—
887C4×Q8—82no—
888C4×D4—24no—
889C4×D4—28no—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—28no—
893C4×D4—24no—
894C4×D4—28no—
895C4×D4—24no—
896C4×D4—42no—
897C4×D4—44no—
898C4×D4—42no—
899C4×D4#4118yes—
900#117—28no—
901#117—24no—
902#117—24no—
903#117—28no—
904#117—44no—
905#117—44no—
906#117—44no—
907#117—44no—
908#117—44no—
909#117—44no—
910#117—48no—
911#117—44no—
912#117—84no—
913C2×C4⋊C4—28no—
914C2×C4⋊C4—24no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4—44no—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C22⋊C4—28no—
998C2×C22⋊C4—44no—
999C2×C22⋊C4—44no—
1000C2×C22⋊C4—84no—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C42—24no—
1044C2×C42—28no—
1045C2×C42—44no—
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24—24no—
1165C24—24no—
1166C24—24no—
1167C24—42no—
1168C24—42no—
1169C24—42no—
1170C24—42no—
1171C24C2512yes—
1172C24C2511yescharacteristic
1173C24C2512yes—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—28no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—42no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8—42no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—42no—
1199C2×D4—416no—
1200C2×D4C2×#4114yes—
1201C2×D42−1+414yes—
1202C22×C4—22no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—28no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—432no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—41no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—41no—
1238C22×C4—42no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4C2×#4118yes—
1244C22×C42−1+414yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2514yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2514yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2514yes—
1268C22×C4C2514yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—28no—
1287C4⋊C4—24no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4C2×#4114yes—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4C2×#4118yes—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—28no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—24no—
1406C42—24no—
1407C42—22no—
1408C42—24no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—24no—
1414C42—22no—
1415C42—24no—
1416C42—22no—
1417C42—42no—
1418C42—42no—
1419C42—41no—
1420C42—41no—
1421C42—44no—
1422C42—44no—
1423C42—44no—
1424C42—44no—
1425C42—44no—
1426C42—44no—
1427C42—44no—
1428C42—41no—
1429C42—41no—
1430C42C2×#4114yes—
1431C42H(5,𝔽2)14yes—
1432C23—22no—
1433C23—21no—
1434C23—22no—
1435C23—21no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—21no—
1440C23—22no—
1441C23—21no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—21no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—21no—
1450C23—48no—
1451C23—48no—
1452C23—48no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23C22×#4114yes—
1458C23C2×2−1+412yes—
1459C23C2×2−1+414yes—
1460C23C2611yescharacteristic
1461Q8—48no—
1462Q8—44no—
1463Q8—44no—
1464Q8—84no—
1465Q8—88no—
1466Q8—164no—
1467D4—28no—
1468D4—28no—
1469D4—48no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—28no—
1481C2×C4—216no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—24no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—48no—
1558C2×C4—48no—
1559C2×C4—48no—
1560C2×C4—48no—
1561C2×C4—44no—
1562C2×C4—48no—
1563C2×C4—82no—
1564C2×C4—84no—
1565C2×C4—88no—
1566C2×C4—84no—
1567C2×C4—84no—
1568C2×C4—164no—
1569C2×C4C22×#4114yes—
1570C2×C4C22×#4112yes—
1571C2×C4C22×#4112yes—
1572C2×C4C22×#4112yes—
1573C2×C4C2×H(5,𝔽2)12yes—
1574C2×C4C2×H(5,𝔽2)12yes—
1575C2×C4C2×H(5,𝔽2)12yes—
1576C2×C4C2×2−1+412yes—
1577C2×C4C2×2−1+412yes—
1578C2×C4C2×2−1+412yes—
1579C2×C4#58512yes—
1580C22—22no—
1581C22—24no—
1582C22—24no—
1583C22—24no—
1584C22—24no—
1585C22—24no—
1586C22—22no—
1587C22—24no—
1588C22—22no—
1589C22—42no—
1590C22—41no—
1591C22—41no—
1592C22—42no—
1593C22—42no—
1594C22—41no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—41no—
1599C22—42no—
1600C22—42no—
1601C22—816no—
1602C22C23×#4111yescharacteristic
1603C22C22×H(5,𝔽2)11yescharacteristic
1604C22C22×2−1+411yescharacteristic
1605C22C22×2−1+411yescharacteristic
1606C22C2×#58511yescharacteristic
1607C22H(7,𝔽2)11yescharacteristic
1608C222−1+611yescharacteristic
1609C4—22no—
1610C4—24no—
1611C4—22no—
1612C4—22no—
1613C4—22no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—41no—
1618C4—44no—
1619C4—42no—
1620C4—41no—
1621C4—42no—
1622C4—44no—
1623C4—42no—
1624C4—42no—
1625C4—42no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—42no—
1630C4—42no—
1631C4—41no—
1632C4—42no—
1633C4—42no—
1634C4—44no—
1635C4—44no—
1636C4—41no—
1637C4—41no—
1638C4—42no—
1639C4#349514yes—
1640C4#352014yes—
1641C2—44no—
1642C2—44no—
1643C2—42no—
1644C2C2×#352011yescharacteristic
1645C2C2×#349511yescharacteristic
1646C2#6285711yescharacteristic
1647C2#6294211yescharacteristic
1648C2#6294511yescharacteristic
1649C2#6295511yescharacteristic
1650C2#6295911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #51494C2semidirect
2. #51400C2semidirect
3. #51307C2semidirect
4. #50995C2semidirect
5. #45383C2semidirect
6. #45381C2semidirect
7. #45295C2semidirect
8. #45086C2semidirect
9. #45083C2semidirect
12. #45080C2semidirect
13. #39609C2semidirect
14. #39607C2semidirect
15. #39490C2semidirect
16. #39369C2semidirect
17. #37938C2semidirect
18. #37856C2semidirect
19. #37853C2semidirect
20. #37757C2semidirect
21. #37415C2semidirect
22. #37347C2semidirect
23. #36175C2semidirect
26. #36134C2semidirect
27. #35325C2semidirect
28. #35283C2semidirect
29. #35253C2semidirect
30. #35206C2semidirect
31. #35177C2semidirect
32. #34629C2semidirect
33. #34484C2semidirect
34. #34481C2semidirect
38. C2×#544C22semidirect
39. C2×#533C22semidirect
42. #2868C22semidirect
43. #2862C22semidirect
46. #2857C22semidirect
47. #2857C22semidirect
48. #2855C22semidirect
49. #2855C22semidirect
50. #2851C22semidirect
51. #2851C22semidirect
54. #2810C22semidirect
55. #2807C22semidirect
56. #2791C22semidirect
57. #2789C22semidirect
58. #2787C22semidirect
59. #2776C22semidirect
60. #2774C22semidirect
61. #2771C22semidirect
62. #2764C22semidirect
63. #2758C22semidirect
64. #2755C22semidirect
65. #2747C22semidirect
69. #2744C22semidirect
70. #2744C22semidirect
74. #2742C22semidirect
75. #2739C22semidirect
77. #2738C22semidirect
78. #2738C22semidirect
79. #2738C22semidirect
82. #2729C22semidirect
85. #2720C22semidirect
86. #2720C22semidirect
87. #2719C22semidirect
89. #2690C22semidirect
90. #2690C22semidirect
91. #2689C22semidirect
92. #2689C22semidirect
93. #2677C22semidirect
94. #2665C22semidirect
95. #2655C22semidirect
96. #2655C22semidirect
99. #2652C22semidirect
100. #2647C22semidirect
101. #2647C22semidirect
102. #2645C22semidirect
103. #2645C22semidirect
104. #2642C22semidirect
109. #2628C22semidirect
113. #2621C22semidirect
115. #2611C22semidirect
116. #2611C22semidirect
118. #2599C22semidirect
119. #2583C22semidirect
120. #2577C22semidirect
122. #2568C22semidirect
123. #2567C22semidirect
124. #2567C22semidirect
128. #2556C22semidirect
129. #2552C22semidirect
130. #2552C22semidirect
131. #2552C22semidirect
132. #2551C22semidirect
133. #2551C22semidirect
139. #2533C22semidirect
140. #2527C22semidirect
141. #2523C22semidirect
142. #2522C22semidirect
144. #2515C22semidirect
145. #2514C22semidirect
146. #2511C22semidirect
147. #2511C22semidirect
148. #2511C22semidirect
149. #2511C22semidirect
150. #2509C22semidirect
151. #2509C22semidirect
152. #2507C22semidirect
153. #2506C22semidirect
154. #2506C22semidirect
155. #2503C22semidirect
156. #2499C22semidirect
159. #2497C22semidirect
160. #2495C22semidirect
161. #2495C22semidirect
162. #2494C22semidirect
163. #2493C22semidirect
167. #2492C22semidirect
168. #2489C22semidirect
171. #2484C22semidirect
177. #2475C22semidirect
179. #2465C22semidirect
181. #2453C22semidirect
182. #2453C22semidirect
183. #2453C22semidirect
186. #2451C22semidirect
187. #2451C22semidirect
188. #2451C22semidirect
195. #2446C22semidirect
197. #2442C22semidirect
199. #2441C22semidirect
200. #2441C22semidirect
201. #2440C22semidirect
202. #2440C22semidirect
204. #2438C22semidirect
205. #2438C22semidirect
206. #2438C22semidirect
211. #2429C22semidirect
215. #2423C22semidirect
216. #2423C22semidirect
217. #2421C22semidirect
220. #2402C22semidirect
221. #2402C22semidirect
224. #2383C22semidirect
225. #2378C22semidirect
226. #2370C22semidirect
227. #2369C22semidirect
231. #2365C22semidirect
232. #2365C22semidirect
233. #2362C22semidirect
235. #2360C22semidirect
236. #2356C22semidirect
244. Q8×C4⋊C4C22semidirect
245. Q8×C4⋊C4C22semidirect
246. Q8×C4⋊C4C22semidirect
251. #2347C22semidirect
254. #2344C22semidirect
260. #2334C22semidirect
261. #2331C22semidirect
262. #2331C22semidirect
263. #2330C22semidirect
268. #2323C22semidirect
269. #2323C22semidirect
270. #2323C22semidirect
271. #2320C22semidirect
272. #2320C22semidirect
275. #2317C22semidirect
276. #2317C22semidirect
277. #2316C22semidirect
279. C4×C4⋊Q8C22semidirect
280. C4×C4⋊Q8C22semidirect
281. C4×C4⋊Q8C22semidirect
282. C4×#125C22semidirect
285. #2295C22semidirect
286. #2295C22semidirect
292. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#514942
#514002
#513072
#509952
#453832
#453812
#452952
#450862
#450832
#450812
#450802
#396092
#396072
#394902
#393692
#379382
#378562
#378532
#377572
#374152
#373472
#361752
#361612
#361542
#361342
#353252
#352832
#352532
#352062
#351772
#346292
#344842
#344812
D4×#1172