Finite Group Databasebeta

← #7654323

Subgroups — #7654323

Order 512.

4217 conjugacy classes of subgroups.

The subgroup lattice has 1537 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42901C212yesmaximal
2#42864C212yesmaximal, complemented
3#41903C214yesmaximal, complemented
4#41357C214yesmaximal
5#40074C212yesmaximal
6#39802C212yesmaximal, complemented
7#39724C211yesmaximal, characteristic
8#39625C211yesmaximal, characteristic, complemented
9#39599C211yesmaximal, characteristic
10#39294C212yesmaximal
11#39170C211yesmaximal, characteristic, complemented
12#39107C214yesmaximal
13#39003C212yesmaximal, complemented
14#38790C214yesmaximal, complemented
15#38287C212yesmaximal
16#38243C212yesmaximal, complemented
17#37630C211yesmaximal, characteristic, complemented
18#37598C212yesmaximal
19#36598C211yesmaximal, characteristic, complemented
20#36556C212yesmaximal, complemented
21#36450C211yesmaximal, characteristic
22#36313C211yesmaximal, characteristic, complemented
23#36311C212yesmaximal
24#36288C211yesmaximal, characteristic
25#35899C212yesmaximal
26#35867C212yesmaximal, complemented
27#35283C211yesmaximal, characteristic
28#35204C212yesmaximal
29#35199C211yesmaximal, characteristic, complemented
30#35199C212yesmaximal, complemented
31#34975C211yesmaximal, characteristic
32#34920C212yesmaximal, complemented
33#34328C211yesmaximal, characteristic, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35#34154C211yesmaximal, characteristic
36C2×#557C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2868C2211yescharacteristic
40#2865C2214yes—
41#2864C2214yes—
42#2863C2212yes—
43#2863C2212yes—
44#2863C2212yes—
45#2862C2211yescharacteristic
46#2862C2212yes—
47#2862C2212yes—
48#2862C2212yes—
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2839C2214yes—
52#2839C2214yes—
53#2838C2214yes—
54#2810C2214yes—
55#2809C2214yes—
56#2792C2214yes—
57#2789C2214yes—
58#2789C2214yes—
59#2783C2214yes—
60#2776C2214yes—
61#2776C2214yes—
62#2775C2214yes—
63#2775C2214yes—
64#2769C2214yes—
65#2767C2214yes—
66#2767C2214yes—
67#2762C2214yes—
68#2758C2214yes—
69#2758C2214yes—
70#2734C2214yes—
71#2726C2214yes—
72#2719C2214yes—
73#2719C2214yes—
74#2719C2214yes—
75#2716C2214yes—
76#2704C2214yes—
77#2690C2214yes—
78#2666C2214yes—
79#2666C2214yes—
80#2666C2214yes—
81#2666C2214yes—
82#2660C2212yes—
83#2655C2214yes—
84#2655C2214yes—
85#2655C2214yes—
86#2654C2214yes—
87#2654C2214yes—
88#2650C2214yes—
89#2647C2212yes—
90#2647C2212yes—
91#2645C2212yes—
92#2645C2212yes—
93#2642C2212yes—
94#2642C2212yes—
95#2629C2212yes—
96#2628C2212yes—
97#2621C2212yes—
98#2612C2214yes—
99#2612C2214yes—
100#2605C2214yes—
101#2596C2214yes—
102#2594C2214yes—
103#2590C2214yes—
104#2590C2214yes—
105#2588C2214yes—
106#2588C2214yes—
107#2588C2214yes—
108#2588C2214yes—
109#2584C2212yes—
110#2582C2211yescharacteristic
111#2582C2212yes—
112#2582C2211yescharacteristic
113#2581C2212yes—
114#2577C2214yes—
115#2574C2214yes—
116#2571C2212yes—
117#2570C2214yes—
118#2568C2211yescharacteristic
119#2568C2212yes—
120#2568C2211yescharacteristic
121#2568C2212yes—
122#2567C2212yes—
123#2565C2212yes—
124#2552C2211yescharacteristic
125#2551C2212yes—
126#2551C2212yes—
127#2551C2211yescharacteristic
128#2550C2212yes—
129#2550C2212yes—
130#2546C2212yes—
131#2546C2211yescharacteristic
132#2546C2212yes—
133#2546C2211yescharacteristic
134#2533C2214yes—
135#2533C2212yes—
136#2532C2214yes—
137#2529C2214yes—
138#2529C2214yes—
139#2528C2214yes—
140#2528C2214yes—
141#2528C2214yes—
142#2528C2214yes—
143#2528C2212yes—
144#2528C2214yes—
145#2525C2214yes—
146#2524C2214yes—
147#2524C2214yes—
148#2520C2214yes—
149#2520C2214yes—
150#2520C2214yes—
151#2520C2214yes—
152#2520C2214yes—
153#2514C2212yes—
154#2514C2212yes—
155#2514C2211yescharacteristic
156#2514C2212yes—
157#2511C2212yes—
158#2511C2212yes—
159#2511C2212yes—
160#2511C2212yes—
161#2511C2212yes—
162#2509C2212yes—
163#2509C2214yes—
164#2508C2214yes—
165#2508C2212yes—
166#2508C2212yes—
167#2508C2214yes—
168#2507C2212yes—
169#2506C2211yescharacteristic
170#2499C2212yes—
171#2496C2211yescharacteristic
172#2494C2212yes—
173#2492C2212yes—
174#2492C2212yes—
175#2492C2212yes—
176#2489C2212yes—
177#2489C2212yes—
178#2489C2211yescharacteristic
179#2478C2212yes—
180#2475C2212yes—
181#2469C2214yes—
182#2462C2214yes—
183#2453C2212yes—
184#2453C2212yes—
185#2453C2211yescharacteristic
186#2453C2212yes—
187#2453C2212yes—
188#2451C2212yes—
189#2451C2212yes—
190#2451C2214yes—
191#2451C2212yes—
192#2451C2212yes—
193#2451C2212yes—
194#2451C2212yes—
195#2446C2212yes—
196#2446C2212yes—
197#2446C2214yes—
198#2446C2212yes—
199#2446C2212yes—
200#2446C2212yes—
201#2446C2211yescharacteristic
202#2446C2212yes—
203#2446C2214yes—
204#2439C2212yes—
205#2429C2212yes—
206#2429C2212yes—
207#2429C2211yescharacteristic
208#2429C2212yes—
209#2423C2212yes—
210#2423C2212yes—
211#2421C2212yes—
212#2421C2211yescharacteristic
213#2402C2212yes—
214#2402C2214yes—
215#2401C2212yes—
216#2399C2214yes—
217#2371C2214yes—
218#2371C2212yes—
219#2371C2212yes—
220#2370C2212yes—
221#2370C2212yes—
222#2370C2214yes—
223#2369C2212yes—
224#2365C2211yescharacteristic
225#2365C2212yes—
226#2365C2211yescharacteristic
227#2365C2212yes—
228#2365C2212yes—
229#2365C2211yescharacteristic
230#2365C2212yes—
231#2365C2211yescharacteristic
232#2365C2211yescharacteristic
233#2365C2211yescharacteristic
234#2362C2211yescharacteristic
235#2362C2212yes—
236#2362C2211yescharacteristic
237#2362C2212yes—
238#2362C2211yescharacteristic
239#2362C2212yes—
240#2362C2211yescharacteristic
241#2356C2212yes—
242#2356C2212yes—
243#2356C2212yes—
244#2355C2211yescharacteristic
245#2355C2211yescharacteristic
246#2355C2212yes—
247#2355C2212yes—
248#2355C2211yescharacteristic
249#2355C2212yes—
250#2351C2212yes—
251Q8×C4⋊C4C2211yescharacteristic
252#2346C2212yes—
253#2336C2214yes—
254#2331C2212yes—
255#2331C2214yes—
256#2331C2212yes—
257#2330C2212yes—
258#2327C2212yes—
259#2327C2212yes—
260#2323C2212yes—
261#2323C2212yes—
262#2320C2214yes—
263#2320C2212yes—
264#2314C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×#125C2212yes—
273C4×#125C2212yes—
274C4×#125C2214yes—
275C4×#125C2214yes—
276C4×#125C2211yescharacteristic
277C4×#126C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280#2298C2212yes—
281#2298C2212yes—
282#2295C2211yescharacteristic
283#2295C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2295C2214yes—
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2276C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×Q8C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#557—28no—
300#557—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2314yes—
316C2×C4⋊Q8C2312yes—
317C2×#126C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2314yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C22×C42C2311yescharacteristic
362#401C2314yes—
363#401C2314yes—
364#401C2314yes—
365#401C2312yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
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#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
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#398C2312yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#393C2314yes—
457#393C2314yes—
458#391C2314yes—
459#391C2311yescharacteristic
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2311yescharacteristic
465#391C2312yes—
466#391C2312yes—
467#391C2311yescharacteristic
468#391C2312yes—
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2312yes—
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2312yes—
495#391C2314yes—
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2314yes—
513#389C2312yes—
514#389C2314yes—
515#389C2312yes—
516#389C2314yes—
517#389C2312yes—
518#389C2314yes—
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#389C2311yescharacteristic
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2314yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
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#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#385C2312yes—
680#385C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2312yes—
689#383C2312yes—
690#383C2314yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#383C2314yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2314yes—
699#382C2314yes—
700#382C2312yes—
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2314yes—
707#382C2314yes—
708#382C2314yes—
709#382C2314yes—
710#382C2312yes—
711#382C2314yes—
712#382C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2312yes—
718#380C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796#376C2314yes—
797#376C2312yes—
798#376C2312yes—
799#376C2312yes—
800#376C2311yescharacteristic
801#376C2314yes—
802#376C2314yes—
803#376C2314yes—
804#376C2312yes—
805#376C2311yescharacteristic
806C43C2312yes—
807C43C2314yes—
808C43C2311yescharacteristic
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C4⋊Q8—24no—
826C4⋊Q8—28no—
827C4⋊Q8—24no—
828C4⋊Q8—24no—
829C4⋊Q8—24no—
830C4⋊Q8—28no—
831C4⋊Q8—44no—
832C4⋊Q8—44no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8—42no—
839C4⋊Q8—48no—
840#126—44no—
841#125—28no—
842#125—28no—
843#125—216no—
844#125—216no—
845#125—28no—
846#125—24no—
847#125—28no—
848#125—44no—
849C22⋊Q8—24no—
850C22⋊Q8—24no—
851C22⋊Q8—28no—
852C22⋊Q8—24no—
853C22⋊Q8—44no—
854C22⋊Q8—42no—
855C22⋊Q8—44no—
856C4×Q8—28no—
857C4×Q8—28no—
858C4×Q8—24no—
859C4×Q8—24no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—24no—
863C4×Q8—28no—
864C4×Q8—28no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—24no—
870C4×Q8—44no—
871C4×Q8—42no—
872C4×Q8—48no—
873C4×Q8—44no—
874C4×Q8—42no—
875C4×Q8—44no—
876C4×Q8—42no—
877C4×Q8—44no—
878C4×Q8#4118yes—
879#117—24no—
880#117—24no—
881#117—28no—
882#117—42no—
883#117—42no—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C42—24no—
986C2×C42C2412yes—
987C2×C42C2411yescharacteristic
988C2×C42C2412yes—
989C2×C42C2411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2411yescharacteristic
992C2×C42C2411yescharacteristic
993C2×C42C2412yes—
994C2×C42C2412yes—
995C2×C42C2414yes—
996C2×C42C2414yes—
997C2×C42C2412yes—
998C2×C42C2411yescharacteristic
999C2×C42C2412yes—
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2412yes—
1006C2×C42C2414yes—
1007C2×C42C2411yescharacteristic
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2414yes—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2411yescharacteristic
1043#95C2411yescharacteristic
1044#95C2411yescharacteristic
1045#95C2412yes—
1046#95C2411yescharacteristic
1047#95C2411yescharacteristic
1048#95C2411yescharacteristic
1049#95C2411yescharacteristic
1050#95C2412yes—
1051#95C2411yescharacteristic
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136C24C2511yescharacteristic
1137C2×Q8—22no—
1138C2×Q8—24no—
1139C2×Q8—22no—
1140C2×Q8—24no—
1141C2×Q8—22no—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—24no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—22no—
1148C2×Q8—24no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—28no—
1157C2×Q8—42no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8C2×#4114yes—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—41no—
1173C22×C4C2511yescharacteristic
1174C22×C4C2512yes—
1175C22×C4C2511yescharacteristic
1176C22×C4C2512yes—
1177C22×C4C2511yescharacteristic
1178C22×C4C2512yes—
1179C22×C4C2511yescharacteristic
1180C22×C4C2512yes—
1181C22×C4C2511yescharacteristic
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2514yes—
1186C22×C4C2514yes—
1187C22×C4C2512yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2514yes—
1194C22×C4C2514yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C4⋊C4—24no—
1208C4⋊C4—24no—
1209C4⋊C4—22no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—22no—
1215C4⋊C4—28no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—22no—
1219C4⋊C4—28no—
1220C4⋊C4—28no—
1221C4⋊C4—28no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—28no—
1225C4⋊C4—28no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—41no—
1259C4⋊C4—42no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4C2×#4114yes—
1290C4⋊C4C2×#4118yes—
1291C4⋊C42−1+414yes—
1292C4⋊C42−1+414yes—
1293C4⋊C42−1+414yes—
1294C22⋊C4—24no—
1295C22⋊C4—24no—
1296C22⋊C4—22no—
1297C22⋊C4—24no—
1298C22⋊C4—22no—
1299C22⋊C4—24no—
1300C22⋊C4—22no—
1301C22⋊C4—41no—
1302C22⋊C4—42no—
1303C22⋊C4—44no—
1304C22⋊C4—42no—
1305C22⋊C4—44no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C42—22no—
1309C42—22no—
1310C42—22no—
1311C42—24no—
1312C42—28no—
1313C42—24no—
1314C42—28no—
1315C42—24no—
1316C42—22no—
1317C42—22no—
1318C42—24no—
1319C42—24no—
1320C42—22no—
1321C42—22no—
1322C42—24no—
1323C42—24no—
1324C42—28no—
1325C42—24no—
1326C42—24no—
1327C42—24no—
1328C42—22no—
1329C42—28no—
1330C42—24no—
1331C42—24no—
1332C42—24no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—24no—
1337C42—22no—
1338C42—24no—
1339C42—22no—
1340C42—24no—
1341C42—22no—
1342C42—41no—
1343C42—42no—
1344C42—42no—
1345C42—42no—
1346C42—44no—
1347C42—44no—
1348C42—44no—
1349C42—42no—
1350C42—44no—
1351C42—42no—
1352C42—42no—
1353C42—44no—
1354C42—42no—
1355C42—44no—
1356C42C2×#4114yes—
1357C42C2×#4118yes—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23C2611yescharacteristic
1366Q8—28no—
1367Q8—48no—
1368Q8—44no—
1369Q8—48no—
1370Q8—44no—
1371Q8—44no—
1372Q8—48no—
1373Q8—88no—
1374Q8—164no—
1375C2×C4—21no—
1376C2×C4—22no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—21no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—21no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—24no—
1401C2×C4—22no—
1402C2×C4—24no—
1403C2×C4—21no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—24no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—24no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4C22×#4114yes—
1466C2×C4C22×#4114yes—
1467C2×C4C22×#4112yes—
1468C2×C4C22×#4112yes—
1469C2×C4C22×#4112yes—
1470C2×C4C2×2−1+412yes—
1471C2×C4C2×2−1+414yes—
1472C2×C4C2×2−1+414yes—
1473C2×C4C2×2−1+412yes—
1474C2×C4C2×2−1+412yes—
1475C2×C4C2×2−1+412yes—
1476C2×C4C2×2−1+412yes—
1477C2×C4#58512yes—
1478C2×C4#58512yes—
1479C2×C4#58512yes—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22C23×#4111yescharacteristic
1488C22C22×2−1+411yescharacteristic
1489C22C22×2−1+411yescharacteristic
1490C22C22×2−1+411yescharacteristic
1491C22C2×#58511yescharacteristic
1492C22C2×#58511yescharacteristic
1493C22C2×#58511yescharacteristic
1494C4—22no—
1495C4—24no—
1496C4—22no—
1497C4—22no—
1498C4—24no—
1499C4—22no—
1500C4—22no—
1501C4—24no—
1502C4—24no—
1503C4—41no—
1504C4—44no—
1505C4—44no—
1506C4—42no—
1507C4—42no—
1508C4—41no—
1509C4—42no—
1510C4—42no—
1511C4—41no—
1512C4—41no—
1513C4—42no—
1514C4—41no—
1515C4—42no—
1516C4—41no—
1517C4—42no—
1518C4—44no—
1519C4—42no—
1520C4—42no—
1521C4—42no—
1522C4—42no—
1523C4—41no—
1524C4—42no—
1525C4—44no—
1526C4#346114yes—
1527C4#351814yes—
1528C2—81no—
1529C2C2×#346111yescharacteristic
1530C2C2×#351811yescharacteristic
1531C2#6280511yescharacteristic
1532C2#6303011yescharacteristic
1533C2#6303211yescharacteristic
1534C2#6303211yescharacteristic
1535C2#6303211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC24C25
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #42864C2semidirect
3. #41903C2semidirect
6. #39802C2semidirect
8. #39625C2semidirect
11. #39170C2semidirect
13. #39003C2semidirect
14. #38790C2semidirect
16. #38243C2semidirect
17. #37630C2semidirect
19. #36598C2semidirect
20. #36556C2semidirect
22. #36313C2semidirect
26. #35867C2semidirect
29. #35199C2semidirect
30. #35199C2semidirect
32. #34920C2semidirect
33. #34328C2semidirect
34. C4×#557C2semidirect

Maximal subgroups

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

subgroupindex
#429012
#428642
#419032
#413572
#400742
#398022
#397242
#396252
#395992
#392942
#391702
#391072
#390032
#387902
#382872
#382432
#376302
#375982
#365982
#365562
#364502
#363132
#363112
#362882
#358992
#358672
#352832
#352042
#351992
#349752
#349202
#343282
C4×#5572
#341542