Finite Group Databasebeta

← #8458728

Subgroups — #8458728

Order 512.

3967 conjugacy classes of subgroups.

The subgroup lattice has 1545 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59870C211yesmaximal, characteristic, complemented
2#59329C211yesmaximal, characteristic, complemented
3#59262C211yesmaximal, characteristic, complemented
4#58783C214yesmaximal, complemented
5#58499C214yesmaximal, complemented
6#56753C214yesmaximal, complemented
7#53030C212yesmaximal
8#52996C212yesmaximal, complemented
9#51307C214yesmaximal
10#46069C212yesmaximal, complemented
11#45499C212yesmaximal, complemented
12#45145C212yesmaximal, complemented
13#45080C212yesmaximal, complemented
14#42747C212yesmaximal, complemented
15#42744C212yesmaximal, complemented
16#42637C212yesmaximal
17#42491C212yesmaximal, complemented
18#39907C212yesmaximal, complemented
19#39757C212yesmaximal, complemented
20#39662C212yesmaximal, complemented
21#39609C211yesmaximal, characteristic, complemented
22#39181C211yesmaximal, characteristic, complemented
23#39180C211yesmaximal, characteristic, complemented
24#38943C211yesmaximal, characteristic, complemented
25#37938C212yesmaximal
26#37630C211yesmaximal, characteristic, complemented
27#37415C212yesmaximal
28#37359C212yesmaximal, complemented
29#36481C211yesmaximal, characteristic, complemented
30#36189C211yesmaximal, characteristic
31#36177C211yesmaximal, characteristic, complemented
32#35286C211yesmaximal, characteristic, complemented
33#35239C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic
35#34772C211yesmaximal, characteristic
36#2863C2212yes—
37#2859C2211yescharacteristic
38#2859C2212yes—
39#2859C2212yes—
40#2857C2211yescharacteristic
41#2857C2212yes—
42#2857C2211yescharacteristic
43#2855C2212yes—
44#2851C2212yes—
45#2841C2214yes—
46#2841C2214yes—
47#2839C2214yes—
48#2839C2214yes—
49#2839C2214yes—
50#2839C2214yes—
51#2839C2214yes—
52#2839C2214yes—
53#2810C2214yes—
54#2810C2214yes—
55#2807C2214yes—
56#2805C2214yes—
57#2805C2214yes—
58#2805C2214yes—
59#2799C2214yes—
60#2794C2214yes—
61#2792C2214yes—
62#2791C2214yes—
63#2789C2214yes—
64#2776C2214yes—
65#2776C2214yes—
66#2774C2214yes—
67#2774C2214yes—
68#2774C2214yes—
69#2771C2214yes—
70#2769C2214yes—
71#2769C2214yes—
72#2769C2214yes—
73#2769C2214yes—
74#2766C2214yes—
75#2764C2214yes—
76#2762C2214yes—
77#2758C2214yes—
78#2758C2214yes—
79#2758C2214yes—
80#2755C2214yes—
81#2746C2214yes—
82#2744C2214yes—
83#2743C2214yes—
84#2743C2214yes—
85#2742C2214yes—
86#2739C2214yes—
87#2739C2214yes—
88#2739C2214yes—
89#2738C2214yes—
90#2738C2214yes—
91#2738C2214yes—
92#2729C2214yes—
93#2726C2214yes—
94#2726C2214yes—
95#2720C2214yes—
96#2719C2214yes—
97#2719C2214yes—
98#2713C2214yes—
99#2713C2214yes—
100#2713C2214yes—
101#2689C2214yes—
102#2666C2214yes—
103#2666C2214yes—
104#2665C2214yes—
105#2655C2214yes—
106#2652C2214yes—
107#2647C2212yes—
108#2647C2212yes—
109#2647C2212yes—
110#2647C2214yes—
111#2645C2212yes—
112#2645C2214yes—
113#2645C2212yes—
114#2642C2212yes—
115#2642C2212yes—
116#2628C2212yes—
117#2628C2214yes—
118#2611C2214yes—
119#2611C2214yes—
120#2606C2214yes—
121#2590C2214yes—
122#2584C2212yes—
123#2582C2212yes—
124#2582C2211yescharacteristic
125#2581C2212yes—
126#2581C2212yes—
127#2581C2212yes—
128#2571C2212yes—
129#2571C2211yescharacteristic
130#2571C2211yescharacteristic
131#2571C2211yescharacteristic
132#2571C2212yes—
133#2570C2212yes—
134#2570C2212yes—
135#2570C2212yes—
136#2570C2212yes—
137#2570C2212yes—
138#2568C2211yescharacteristic
139#2568C2212yes—
140#2567C2212yes—
141#2567C2212yes—
142#2556C2214yes—
143#2552C2212yes—
144#2552C2212yes—
145#2552C2211yescharacteristic
146#2552C2211yescharacteristic
147#2552C2211yescharacteristic
148#2551C2211yescharacteristic
149#2551C2212yes—
150#2550C2212yes—
151#2550C2212yes—
152#2546C2212yes—
153#2546C2211yescharacteristic
154#2533C2214yes—
155#2533C2214yes—
156#2533C2214yes—
157#2533C2214yes—
158#2533C2214yes—
159#2533C2214yes—
160#2533C2212yes—
161#2527C2214yes—
162#2527C2212yes—
163#2523C2212yes—
164#2522C2214yes—
165#2522C2212yes—
166#2520C2212yes—
167#2515C2214yes—
168#2514C2212yes—
169#2514C2212yes—
170#2514C2211yescharacteristic
171#2511C2211yescharacteristic
172#2511C2212yes—
173#2511C2212yes—
174#2511C2212yes—
175#2511C2212yes—
176#2511C2214yes—
177#2511C2212yes—
178#2509C2211yescharacteristic
179#2509C2212yes—
180#2509C2212yes—
181#2509C2212yes—
182#2509C2212yes—
183#2509C2212yes—
184#2509C2212yes—
185#2508C2212yes—
186#2507C2212yes—
187#2507C2212yes—
188#2507C2211yescharacteristic
189#2506C2212yes—
190#2506C2212yes—
191#2506C2212yes—
192#2505C2212yes—
193#2503C2212yes—
194#2503C2212yes—
195#2503C2212yes—
196#2502C2211yescharacteristic
197#2499C2211yescharacteristic
198#2497C2211yescharacteristic
199#2497C2212yes—
200#2497C2212yes—
201#2496C2211yescharacteristic
202#2495C2212yes—
203#2495C2212yes—
204#2495C2212yes—
205#2493C2214yes—
206#2492C2212yes—
207#2492C2211yescharacteristic
208#2492C2211yescharacteristic
209#2489C2212yes—
210#2487C2212yes—
211#2487C2211yescharacteristic
212#2485C2211yescharacteristic
213#2484C2214yes—
214#2477C2214yes—
215#2466C2212yes—
216#2453C2212yes—
217#2453C2212yes—
218#2451C2212yes—
219#2451C2212yes—
220#2450C2212yes—
221#2446C2212yes—
222#2442C2212yes—
223#2442C2212yes—
224#2442C2212yes—
225#2442C2214yes—
226#2442C2212yes—
227#2441C2214yes—
228#2441C2212yes—
229#2441C2212yes—
230#2440C2212yes—
231#2440C2211yescharacteristic
232#2439C2211yescharacteristic
233#2438C2214yes—
234#2429C2212yes—
235#2429C2212yes—
236#2423C2212yes—
237#2423C2212yes—
238#2423C2212yes—
239#2423C2212yes—
240#2423C2212yes—
241#2417C2211yescharacteristic
242#2417C2212yes—
243#2415C2211yescharacteristic
244#2402C2212yes—
245#2401C2212yes—
246#2398C2212yes—
247#2396C2212yes—
248#2378C2214yes—
249#2370C2212yes—
250#2365C2211yescharacteristic
251#2365C2211yescharacteristic
252#2360C2212yes—
253#2360C2212yes—
254#2356C2212yes—
255#2356C2212yes—
256#2356C2212yes—
257#2355C2211yescharacteristic
258#2355C2211yescharacteristic
259#2355C2212yes—
260#2352C2212yes—
261Q8×C4⋊C4C2211yescharacteristic
262Q8×C4⋊C4C2211yescharacteristic
263Q8×C4⋊C4C2212yes—
264#2347C2212yes—
265#2345C2212yes—
266#2344C2212yes—
267#2344C2212yes—
268#2334C2214yes—
269#2331C2212yes—
270#2331C2212yes—
271#2330C2212yes—
272#2330C2212yes—
273#2323C2212yes—
274#2320C2212yes—
275#2317C2212yes—
276#2316C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2212yes—
280C4×C4⋊Q8C2211yescharacteristic
281C4×#126C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287#2295C2211yescharacteristic
288#2295C2211yescharacteristic
289#2295C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293C2×#384C2211yescharacteristic
294#2283C2211yescharacteristic
295#2283C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2314yes—
306C2×#126C2312yes—
307C2×#125C2312yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#125C2314yes—
313C2×#125C2314yes—
314C2×C22⋊Q8C2311yescharacteristic
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2314yes—
322C2×C4×Q8C2311yescharacteristic
323C2×C4×Q8C2311yescharacteristic
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2311yescharacteristic
334C2×#117C2311yescharacteristic
335C2×#117C2311yescharacteristic
336C2×#117C2312yes—
337C2×#117C2314yes—
338C2×#117C2312yes—
339C22×C4⋊C4C2312yes—
340C22×C4⋊C4C2312yes—
341C22×C4⋊C4C2311yescharacteristic
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2312yes—
344C22×C42C2311yescharacteristic
345C22×C42C2311yescharacteristic
346C22×C42C2312yes—
347#401C2314yes—
348#401C2312yes—
349#401C2314yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2312yes—
369#400C2314yes—
370#400C2314yes—
371#400C2312yes—
372#400C2314yes—
373#400C2312yes—
374#400C2312yes—
375#400C2312yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2312yes—
408#399C2314yes—
409#399C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2312yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2312yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2312yes—
465#395C2314yes—
466#395C2314yes—
467#394C2312yes—
468#394C2312yes—
469#393C2312yes—
470#393C2312yes—
471#393C2314yes—
472#393C2312yes—
473#391C2311yescharacteristic
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2311yescharacteristic
488#391C2312yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#391C2314yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2311yescharacteristic
505#391C2312yes—
506#391C2312yes—
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2314yes—
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2314yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2311yescharacteristic
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2314yes—
573#389C2311yescharacteristic
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2314yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
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#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
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#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#386C2314yes—
664#386C2312yes—
665#386C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2312yes—
674#385C2314yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2314yes—
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#383C2312yes—
697#383C2314yes—
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#383C2312yes—
703#383C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2312yes—
717#382C2314yes—
718#382C2314yes—
719#382C2312yes—
720#382C2311yescharacteristic
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2312yes—
726#381C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807C2×#95C2312yes—
808C43C2312yes—
809C43C2311yescharacteristic
810C22×Q8C2411yescharacteristic
811C22×Q8C2412yes—
812C22×Q8C2411yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2412yes—
815C22×Q8C2414yes—
816C22×D4C2411yescharacteristic
817C23×C4C2411yescharacteristic
818C23×C4C2411yescharacteristic
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2414yes—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C4⋊Q8—24no—
827C4⋊Q8—44no—
828C4⋊Q8—42no—
829C4⋊Q8—44no—
830C4⋊Q8—42no—
831C4⋊Q8—44no—
832C4⋊Q8—84no—
833#126—28no—
834#125—44no—
835#125—44no—
836#125—44no—
837#125—84no—
838#125—84no—
839#125—82no—
840#125—84no—
841C22⋊Q8—24no—
842C22⋊Q8—28no—
843C22⋊Q8—44no—
844C22⋊Q8—42no—
845C22⋊Q8—42no—
846C22⋊Q8—42no—
847C22⋊Q8—44no—
848C22⋊Q8—84no—
849C4×Q8—24no—
850C4×Q8—24no—
851C4×Q8—44no—
852C4×Q8—44no—
853C4×Q8—44no—
854C4×Q8—44no—
855C4×Q8—44no—
856C4×Q8—44no—
857C4×Q8—44no—
858C4×D4—24no—
859C4×D4—24no—
860C4×D4—42no—
861#117—24no—
862#117—44no—
863#117—42no—
864#117—82no—
865#117—84no—
866C2×C4⋊C4—28no—
867C2×C4⋊C4—42no—
868C2×C4⋊C4—44no—
869C2×C4⋊C4—42no—
870C2×C4⋊C4—82no—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2411yescharacteristic
962C2×C22⋊C4C2411yescharacteristic
963C2×C22⋊C4C2411yescharacteristic
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2411yescharacteristic
983C2×C42—24no—
984C2×C42—24no—
985C2×C42—44no—
986C2×C42C2412yes—
987C2×C42C2412yes—
988C2×C42C2412yes—
989C2×C42C2411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2411yescharacteristic
992C2×C42C2412yes—
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995C2×C42C2412yes—
996C2×C42C2412yes—
997C2×C42C2412yes—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2412yes—
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2414yes—
1008C2×C42C2414yes—
1009C2×C42C2414yes—
1010C2×C42C2412yes—
1011C2×C42C2414yes—
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2414yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2411yescharacteristic
1050#95C2411yescharacteristic
1051#95C2411yescharacteristic
1052#95C2411yescharacteristic
1053#95C2411yescharacteristic
1054#95C2411yescharacteristic
1055#95C2412yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121C24C2511yescharacteristic
1122C24C2511yescharacteristic
1123C2×Q8—22no—
1124C2×Q8—22no—
1125C2×Q8—22no—
1126C2×Q8—24no—
1127C2×Q8—24no—
1128C2×Q8—22no—
1129C2×Q8—22no—
1130C2×Q8—24no—
1131C2×Q8—24no—
1132C2×Q8—22no—
1133C2×Q8—42no—
1134C2×Q8—42no—
1135C2×Q8—42no—
1136C2×Q8—42no—
1137C2×Q8—42no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8—44no—
1141C2×D4—22no—
1142C2×D4—22no—
1143C2×D4—41no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—28no—
1148C22×C4—24no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—44no—
1167C22×C4—42no—
1168C22×C4—44no—
1169C22×C4—42no—
1170C22×C42−1+414yes—
1171C22×C4C2511yescharacteristic
1172C22×C4C2512yes—
1173C22×C4C2511yescharacteristic
1174C22×C4C2512yes—
1175C22×C4C2511yescharacteristic
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2514yes—
1183C22×C4C2511yescharacteristic
1184C22×C4C2511yescharacteristic
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2514yes—
1189C22×C4C2514yes—
1190C22×C4C2512yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2512yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2514yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C4⋊C4—28no—
1205C4⋊C4—24no—
1206C4⋊C4—24no—
1207C4⋊C4—22no—
1208C4⋊C4—22no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—22no—
1212C4⋊C4—22no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—22no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—42no—
1239C4⋊C4—44no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—44no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—44no—
1247C4⋊C4—42no—
1248C4⋊C4—44no—
1249C4⋊C4—41no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C22⋊C4—24no—
1294C22⋊C4—22no—
1295C22⋊C4—24no—
1296C22⋊C4—24no—
1297C22⋊C4—24no—
1298C22⋊C4—24no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—44no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C42−1+414yes—
1316C42—22no—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—22no—
1322C42—24no—
1323C42—22no—
1324C42—22no—
1325C42—24no—
1326C42—24no—
1327C42—24no—
1328C42—24no—
1329C42—24no—
1330C42—24no—
1331C42—22no—
1332C42—24no—
1333C42—22no—
1334C42—22no—
1335C42—24no—
1336C42—24no—
1337C42—42no—
1338C42—42no—
1339C42—42no—
1340C42—44no—
1341C42—44no—
1342C42—44no—
1343C42—44no—
1344C42—44no—
1345C42—44no—
1346C42—44no—
1347C42—44no—
1348C42—42no—
1349C42—41no—
1350C422−1+414yes—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23C2×2−1+412yes—
1364C23C2×2−1+412yes—
1365C23C2611yescharacteristic
1366Q8—44no—
1367Q8—44no—
1368Q8—48no—
1369Q8—84no—
1370Q8—84no—
1371Q8—164no—
1372D4—44no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—28no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—24no—
1407C2×C4—24no—
1408C2×C4—24no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—24no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—84no—
1469C2×C4—88no—
1470C2×C4—84no—
1471C2×C4C2×2−1+412yes—
1472C2×C4C2×2−1+412yes—
1473C2×C4C2×2−1+412yes—
1474C2×C4C2×2−1+412yes—
1475C2×C4C2×2−1+412yes—
1476C2×C4C2×2−1+412yes—
1477C2×C4C2×2−1+412yes—
1478C2×C4#58512yes—
1479C2×C4#58512yes—
1480C2×C4#58512yes—
1481C22—22no—
1482C22—22no—
1483C22—22no—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22C22×2−1+411yescharacteristic
1496C22C22×2−1+411yescharacteristic
1497C22C22×2−1+411yescharacteristic
1498C22C2×#58511yescharacteristic
1499C22C2×#58511yescharacteristic
1500C22C2×#58511yescharacteristic
1501C22H(7,𝔽2)11yescharacteristic
1502C4—22no—
1503C4—22no—
1504C4—22no—
1505C4—22no—
1506C4—41no—
1507C4—42no—
1508C4—41no—
1509C4—41no—
1510C4—42no—
1511C4—44no—
1512C4—42no—
1513C4—42no—
1514C4—42no—
1515C4—42no—
1516C4—42no—
1517C4—42no—
1518C4—41no—
1519C4—42no—
1520C4—42no—
1521C4—42no—
1522C4—42no—
1523C4—41no—
1524C4—42no—
1525C4—44no—
1526C4—42no—
1527C4—42no—
1528C4—41no—
1529C4—41no—
1530C4—42no—
1531C4—44no—
1532C4—44no—
1533C4#356314yes—
1534C4#356514yes—
1535C2—42no—
1536C2—42no—
1537C2C2×#356311yescharacteristic
1538C2C2×#356511yescharacteristic
1539C2#6283711yescharacteristic
1540C2#6293711yescharacteristic
1541C2#6294511yescharacteristic
1542C2#6296211yescharacteristic
1543C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59870C2semidirect
2. #59329C2semidirect
3. #59262C2semidirect
4. #58783C2semidirect
5. #58499C2semidirect
6. #56753C2semidirect
8. #52996C2semidirect
10. #46069C2semidirect
11. #45499C2semidirect
12. #45145C2semidirect
13. #45080C2semidirect
14. #42747C2semidirect
15. #42744C2semidirect
17. #42491C2semidirect
18. #39907C2semidirect
19. #39757C2semidirect
20. #39662C2semidirect
21. #39609C2semidirect
22. #39181C2semidirect
23. #39180C2semidirect
24. #38943C2semidirect
26. #37630C2semidirect
28. #37359C2semidirect
29. #36481C2semidirect
31. #36177C2semidirect
32. #35286C2semidirect
33. #35239C2semidirect

Maximal subgroups

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

subgroupindex
#598702
#593292
#592622
#587832
#584992
#567532
#530302
#529962
#513072
#460692
#454992
#451452
#450802
#427472
#427442
#426372
#424912
#399072
#397572
#396622
#396092
#391812
#391802
#389432
#379382
#376302
#374152
#373592
#364812
#361892
#361772
#352862
#352392
#348032
#347722