Finite Group Databasebeta

← #7674235

Subgroups — #7674235

Order 512.

4498 conjugacy classes of subgroups.

The subgroup lattice has 1579 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45339C212yesmaximal, complemented
2#45317C212yesmaximal, complemented
3#45293C212yesmaximal, complemented
4#45284C212yesmaximal, complemented
5#45229C212yesmaximal, complemented
6#45210C212yesmaximal, complemented
7#45080C212yesmaximal, complemented
8#45055C212yesmaximal, complemented
9#38978C212yesmaximal, complemented
10#38976C212yesmaximal, complemented
11#38972C212yesmaximal, complemented
12#38970C212yesmaximal, complemented
13#38259C214yesmaximal, complemented
14#38257C214yesmaximal, complemented
15#38231C212yesmaximal, complemented
16#38229C212yesmaximal, complemented
17#38227C212yesmaximal, complemented
18#38225C212yesmaximal, complemented
19#38071C214yesmaximal, complemented
20#38070C214yesmaximal, complemented
21#35673C211yesmaximal, characteristic
22#35662C211yesmaximal, characteristic, complemented
23#35543C211yesmaximal, characteristic, complemented
24#35519C211yesmaximal, characteristic
25#35267C211yesmaximal, characteristic
26#35265C211yesmaximal, characteristic, complemented
27#35182C211yesmaximal, characteristic
28#35159C211yesmaximal, characteristic, complemented
29#34639C211yesmaximal, characteristic
30#34276C211yesmaximal, characteristic
31#34254C211yesmaximal, characteristic, complemented
32#34252C211yesmaximal, characteristic
33#34249C211yesmaximal, characteristic, complemented
34#34074C211yesmaximal, characteristic, complemented
35C2×#2320C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#520C2211yescharacteristic
39C2×#519C2211yescharacteristic
40C2×#519C2211yescharacteristic
41C22×C4×Q8C2211yescharacteristic
42#2864C2212yes—
43#2863C2212yes—
44#2860C2212yes—
45#2859C2212yes—
46#2853C2214yes—
47#2851C2214yes—
48#2794C2214yes—
49#2793C2214yes—
50#2791C2214yes—
51#2777C2214yes—
52#2777C2214yes—
53#2776C2214yes—
54#2776C2214yes—
55#2775C2214yes—
56#2775C2214yes—
57#2774C2214yes—
58#2774C2214yes—
59#2773C2214yes—
60#2773C2214yes—
61#2773C2214yes—
62#2772C2214yes—
63#2772C2214yes—
64#2770C2214yes—
65#2769C2214yes—
66#2768C2214yes—
67#2767C2214yes—
68#2767C2214yes—
69#2766C2214yes—
70#2766C2214yes—
71#2766C2214yes—
72#2762C2214yes—
73#2758C2214yes—
74#2754C2214yes—
75#2738C2214yes—
76#2721C2214yes—
77#2719C2214yes—
78#2719C2214yes—
79#2698C2214yes—
80#2647C2212yes—
81#2647C2212yes—
82#2646C2214yes—
83#2645C2211yescharacteristic
84#2645C2212yes—
85#2645C2211yescharacteristic
86#2645C2211yescharacteristic
87#2645C2211yescharacteristic
88#2644C2211yescharacteristic
89#2644C2212yes—
90#2644C2211yescharacteristic
91#2644C2211yescharacteristic
92#2644C2211yescharacteristic
93#2643C2212yes—
94#2643C2212yes—
95#2643C2212yes—
96#2643C2212yes—
97#2623C2214yes—
98#2612C2214yes—
99#2611C2214yes—
100#2585C2214yes—
101#2582C2212yes—
102#2582C2212yes—
103#2582C2212yes—
104#2581C2212yes—
105#2581C2212yes—
106#2581C2212yes—
107#2580C2212yes—
108#2571C2212yes—
109#2570C2212yes—
110#2570C2212yes—
111#2556C2214yes—
112#2552C2212yes—
113#2538C2212yes—
114#2533C2214yes—
115#2533C2214yes—
116#2532C2214yes—
117#2530C2214yes—
118#2529C2214yes—
119#2528C2214yes—
120#2528C2214yes—
121#2528C2214yes—
122#2528C2214yes—
123#2525C2214yes—
124#2524C2214yes—
125#2524C2214yes—
126#2524C2214yes—
127#2520C2214yes—
128#2519C2214yes—
129#2517C2214yes—
130#2517C2214yes—
131#2515C2214yes—
132#2515C2214yes—
133#2514C2214yes—
134#2511C2214yes—
135#2510C2214yes—
136#2509C2212yes—
137#2509C2212yes—
138#2509C2212yes—
139#2509C2212yes—
140#2508C2214yes—
141#2508C2212yes—
142#2508C2212yes—
143#2508C2212yes—
144#2508C2212yes—
145#2507C2212yes—
146#2507C2212yes—
147#2507C2212yes—
148#2507C2212yes—
149#2506C2212yes—
150#2506C2214yes—
151#2506C2212yes—
152#2506C2212yes—
153#2506C2212yes—
154#2505C2214yes—
155#2505C2214yes—
156#2499C2214yes—
157#2498C2214yes—
158#2498C2214yes—
159#2497C2212yes—
160#2496C2212yes—
161#2495C2212yes—
162#2495C2214yes—
163#2494C2212yes—
164#2489C2214yes—
165#2481C2214yes—
166#2478C2214yes—
167#2473C2214yes—
168#2473C2214yes—
169#2453C2212yes—
170#2453C2212yes—
171#2451C2212yes—
172#2451C2212yes—
173#2450C2214yes—
174#2449C2214yes—
175#2448C2212yes—
176#2448C2212yes—
177#2448C2212yes—
178#2448C2212yes—
179#2446C2212yes—
180#2446C2212yes—
181#2446C2212yes—
182#2446C2212yes—
183#2442C2212yes—
184#2441C2212yes—
185#2441C2214yes—
186#2440C2212yes—
187#2439C2212yes—
188#2438C2214yes—
189#2438C2214yes—
190#2423C2212yes—
191#2423C2212yes—
192#2423C2212yes—
193#2423C2212yes—
194#2421C2212yes—
195#2421C2212yes—
196#2421C2212yes—
197#2421C2212yes—
198#2401C2212yes—
199#2401C2212yes—
200#2401C2212yes—
201#2401C2212yes—
202#2362C2212yes—
203#2362C2212yes—
204#2360C2212yes—
205#2360C2212yes—
206#2359C2214yes—
207#2359C2214yes—
208#2357C2212yes—
209#2356C2212yes—
210#2356C2212yes—
211#2356C2212yes—
212#2355C2212yes—
213#2355C2212yes—
214#2355C2212yes—
215#2354C2212yes—
216#2351C2212yes—
217#2351C2212yes—
218#2351C2212yes—
219#2351C2212yes—
220Q8×C4⋊C4C2212yes—
221Q8×C4⋊C4C2212yes—
222Q8×C4⋊C4C2212yes—
223Q8×C4⋊C4C2212yes—
224#2347C2212yes—
225#2346C2212yes—
226#2345C2212yes—
227#2344C2212yes—
228#2343C2214yes—
229#2343C2214yes—
230#2331C2211yescharacteristic
231#2331C2211yescharacteristic
232#2331C2211yescharacteristic
233#2331C2211yescharacteristic
234#2330C2211yescharacteristic
235#2330C2211yescharacteristic
236#2330C2211yescharacteristic
237#2330C2211yescharacteristic
238#2329C2212yes—
239#2329C2212yes—
240#2329C2212yes—
241#2329C2212yes—
242#2327C2212yes—
243#2326C2212yes—
244#2320C2212yes—
245#2320C2212yes—
246#2320C2212yes—
247#2320C2212yes—
248#2320C2212yes—
249#2320C2212yes—
250#2320C2212yes—
251#2320C2212yes—
252#2320C2212yes—
253#2320C2212yes—
254#2318C2214yes—
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2214yes—
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2316C2211yescharacteristic
263#2316C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266#2310C2211yescharacteristic
267C4×C4⋊Q8C2212yes—
268C4×#124C2212yes—
269#2297C2211yescharacteristic
270#2297C2211yescharacteristic
271#2297C2211yescharacteristic
272#2296C2211yescharacteristic
273#2296C2211yescharacteristic
274#2296C2211yescharacteristic
275#2296C2211yescharacteristic
276#2296C2211yescharacteristic
277#2296C2214yes—
278#2295C2212yes—
279#2295C2212yes—
280#2295C2212yes—
281#2295C2212yes—
282#2295C2212yes—
283#2295C2212yes—
284C2×#391C2211yescharacteristic
285C2×#391C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#389C2211yescharacteristic
288#2290C2214yes—
289C2×#387C2212yes—
290C2×#387C2212yes—
291#2285C2211yescharacteristic
292C2×#383C2212yes—
293C2×#382C2212yes—
294#2274C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×#376C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#536—28no—
302#533—28no—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×#126C2314yes—
307C2×#125C2311yescharacteristic
308C2×#125C2311yescharacteristic
309C2×#125C2314yes—
310C2×#125C2314yes—
311C2×#125C2314yes—
312C2×#124C2312yes—
313C2×#123C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2314yes—
319#520—28no—
320#519—28no—
321#519—28no—
322C2×C4×Q8—28no—
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2312yes—
340C2×#117C2311yescharacteristic
341C2×#117C2311yescharacteristic
342C2×#117C2311yescharacteristic
343C2×#117C2311yescharacteristic
344C2×#117C2311yescharacteristic
345C2×#117C2311yescharacteristic
346C2×#117C2314yes—
347C2×#117C2314yes—
348C2×#117C2312yes—
349C2×#117C2314yes—
350C2×#117C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2312yes—
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2312yes—
356C22×C4⋊C4C2312yes—
357C22×C4⋊C4C2312yes—
358C22×C42C2312yes—
359C22×C42C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2312yes—
363#401C2312yes—
364#401C2312yes—
365#401C2312yes—
366#401C2312yes—
367#401C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2312yes—
376#400C2314yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2312yes—
382#400C2312yes—
383#400C2312yes—
384#400C2312yes—
385#400C2312yes—
386#400C2312yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#396C2312yes—
449#396C2312yes—
450#396C2312yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#393C2314yes—
459#391C2311yescharacteristic
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2311yescharacteristic
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#390C2312yes—
491#390C2312yes—
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#389C2314yes—
499#389C2314yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2314yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2314yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2314yes—
570#389C2314yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
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#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
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#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2314yes—
696#384C2314yes—
697#384C2312yes—
698#384C2311yescharacteristic
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#383C2314yes—
703#383C2314yes—
704#383C2314yes—
705#383C2314yes—
706#383C2314yes—
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2311yescharacteristic
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2314yes—
717#382C2312yes—
718#382C2314yes—
719#382C2314yes—
720#382C2314yes—
721#382C2314yes—
722#382C2314yes—
723#382C2314yes—
724#382C2314yes—
725#382C2314yes—
726#382C2314yes—
727#381C2314yes—
728#381C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790#376C2311yescharacteristic
791#376C2311yescharacteristic
792#376C2311yescharacteristic
793#376C2311yescharacteristic
794#376C2311yescharacteristic
795#376C2311yescharacteristic
796#376C2311yescharacteristic
797#376C2311yescharacteristic
798#376C2312yes—
799#376C2312yes—
800#376C2314yes—
801#376C2314yes—
802#376C2314yes—
803C2×#95C2312yes—
804C2×#95C2311yescharacteristic
805C2×#95C2311yescharacteristic
806C2×#95C2311yescharacteristic
807C2×#95C2311yescharacteristic
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C43C2312yes—
815C43C2312yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C22×Q8—24no—
820C22×Q8—24no—
821C22×Q8#4118yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C4⋊Q8—28no—
843C4⋊Q8—24no—
844C4⋊Q8—24no—
845#126—84no—
846#125—24no—
847#125—24no—
848#125—84no—
849#125—84no—
850#125—84no—
851#124—28no—
852#123—216no—
853C22⋊Q8—28no—
854C22⋊Q8—28no—
855C22⋊Q8—28no—
856C22⋊Q8—28no—
857C22⋊Q8—84no—
858C4×Q8—28no—
859C4×Q8—28no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—28no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×D4—216no—
874C4×D4—28no—
875#117—216no—
876#117—24no—
877#117—24no—
878#117—24no—
879#117—24no—
880#117—24no—
881#117—24no—
882#117—28no—
883#117—216no—
884#117—84no—
885#117#4118yes—
886C2×C4⋊C4—28no—
887C2×C4⋊C4—24no—
888C2×C4⋊C4—24no—
889C2×C4⋊C4—24no—
890C2×C4⋊C4—28no—
891C2×C4⋊C4—82no—
892C2×C4⋊C4—82no—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C42—28no—
999C2×C42—24no—
1000C2×C42—24no—
1001C2×C42—24no—
1002C2×C42—82no—
1003C2×C42C2414yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2414yes—
1007C2×C42C2414yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2414yes—
1011C2×C42C2414yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041#95C2411yescharacteristic
1042#95C2411yescharacteristic
1043#95C2411yescharacteristic
1044#95C2411yescharacteristic
1045#95C2411yescharacteristic
1046#95C2411yescharacteristic
1047#95C2411yescharacteristic
1048#95C2411yescharacteristic
1049#95C2411yescharacteristic
1050#95C2411yescharacteristic
1051#95C2411yescharacteristic
1052#95C2411yescharacteristic
1053#95C2411yescharacteristic
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
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#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141C24C2512yes—
1142C24C2511yescharacteristic
1143#41—416no—
1144C2×Q8—232no—
1145C2×Q8—24no—
1146C2×Q8—24no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—22no—
1154C2×Q8—42no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8C2×#4118yes—
1159C2×Q8C2×#4118yes—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—22no—
1169C22×C4—24no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—24no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—28no—
1181C22×C4—41no—
1182C22×C4—42no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—42no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—42no—
1201C22×C4C2×#4118yes—
1202C22×C4C2×#4114yes—
1203C22×C4C2×#4114yes—
1204C22×C42−1+414yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2514yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2514yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2514yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C4⋊C4—24no—
1239C4⋊C4—28no—
1240C4⋊C4—24no—
1241C4⋊C4—28no—
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—28no—
1266C4⋊C4—28no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4C2×#4114yes—
1316C4⋊C4C2×#4114yes—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4C2×#4118yes—
1343C42—28no—
1344C42—28no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—28no—
1354C42—28no—
1355C42—28no—
1356C42—28no—
1357C42—28no—
1358C42—24no—
1359C42—24no—
1360C42—24no—
1361C42—24no—
1362C42—24no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—24no—
1368C42—44no—
1369C42—44no—
1370C42—42no—
1371C42—42no—
1372C42—42no—
1373C42—42no—
1374C42—44no—
1375C42—42no—
1376C42—42no—
1377C42—44no—
1378C42—42no—
1379C42—42no—
1380C42C2×#4118yes—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23C22×#4112yes—
1393C23C22×#4112yes—
1394C23C2×2−1+412yes—
1395C23C2611yescharacteristic
1396Q8—216no—
1397Q8—216no—
1398Q8—44no—
1399Q8—84no—
1400Q8—84no—
1401D4—48no—
1402D4—44no—
1403C2×C4—24no—
1404C2×C4—24no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—216no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—24no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—48no—
1497C2×C4—48no—
1498C2×C4—88no—
1499C2×C4—82no—
1500C2×C4—84no—
1501C2×C4—82no—
1502C2×C4—82no—
1503C2×C4—84no—
1504C2×C4—82no—
1505C2×C4#552116yes—
1506C2×C4C22×#4114yes—
1507C2×C4C22×#4118yes—
1508C2×C4C22×#4114yes—
1509C2×C4C22×#4112yes—
1510C2×C4C22×#4112yes—
1511C2×C4C22×#4112yes—
1512C2×C4C22×#4112yes—
1513C2×C4C2×2−1+412yes—
1514C2×C4C2×2−1+412yes—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22C2×#55214yes—
1529C22C23×#4111yescharacteristic
1530C22C23×#4111yescharacteristic
1531C22C22×2−1+411yescharacteristic
1532C22H(7,𝔽2)11yescharacteristic
1533C222−1+611yescharacteristic
1534C222−1+611yescharacteristic
1535C222−1+611yescharacteristic
1536C4—24no—
1537C4—24no—
1538C4—28no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C4—41no—
1543C4—41no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—41no—
1548C4—41no—
1549C4—44no—
1550C4—42no—
1551C4—41no—
1552C4—44no—
1553C4—41no—
1554C4—42no—
1555C4—42no—
1556C4—41no—
1557C4—41no—
1558C4—42no—
1559C4—42no—
1560C4—41no—
1561C4—41no—
1562C4—44no—
1563C4—42no—
1564C4—41no—
1565C4—41no—
1566C4—42no—
1567C4C2×#55214yes—
1568C4C2×#55214yes—
1569C2—24no—
1570C2—82no—
1571C2C22×#55211yescharacteristic
1572C2#6285011yescharacteristic
1573C2#6285111yescharacteristic
1574C2#6285711yescharacteristic
1575C2#6286111yescharacteristic
1576C2#6287911yescharacteristic
1577C2#6288911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45339C2semidirect
2. #45317C2semidirect
3. #45293C2semidirect
4. #45284C2semidirect
5. #45229C2semidirect
6. #45210C2semidirect
7. #45080C2semidirect
8. #45055C2semidirect
9. #38978C2semidirect
10. #38976C2semidirect
11. #38972C2semidirect
12. #38970C2semidirect
13. #38259C2semidirect
14. #38257C2semidirect
15. #38231C2semidirect
16. #38229C2semidirect
17. #38227C2semidirect
18. #38225C2semidirect
19. #38071C2semidirect
20. #38070C2semidirect
22. #35662C2semidirect
23. #35543C2semidirect
26. #35265C2semidirect
28. #35159C2semidirect
31. #34254C2semidirect
33. #34249C2semidirect
34. #34074C2semidirect
35. C2×#2320C2semidirect

Maximal subgroups

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

subgroupindex
#453392
#453172
#452932
#452842
#452292
#452102
#450802
#450552
#389782
#389762
#389722
#389702
#382592
#382572
#382312
#382292
#382272
#382252
#380712
#380702
#356732
#356622
#355432
#355192
#352672
#352652
#351822
#351592
#346392
#342762
#342542
#342522
#342492
#340742
C2×#23202