Finite Group Databasebeta

← #7987033

Subgroups — #7987033

Order 512.

4201 conjugacy classes of subgroups.

The subgroup lattice has 1535 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59681C211yesmaximal, characteristic, complemented
2#59547C212yesmaximal, complemented
3#59437C211yesmaximal, characteristic
4#59428C211yesmaximal, characteristic
5#59333C212yesmaximal, complemented
6#51000C214yesmaximal, complemented
7#50250C214yesmaximal, complemented
8#46116C212yesmaximal, complemented
9#46060C212yesmaximal, complemented
10#45429C212yesmaximal
11#45383C212yesmaximal
12#43784C214yesmaximal, complemented
13#42864C212yesmaximal, complemented
14#42689C212yesmaximal, complemented
15#41791C214yesmaximal, complemented
16#40202C212yesmaximal, complemented
17#40080C212yesmaximal
18#39928C212yesmaximal, complemented
19#39633C211yesmaximal, characteristic
20#39032C212yesmaximal, complemented
21#38977C211yesmaximal, characteristic
22#38227C212yesmaximal, complemented
23#36598C211yesmaximal, characteristic, complemented
24#36584C211yesmaximal, characteristic, complemented
25#36563C211yesmaximal, characteristic, complemented
26#36512C212yesmaximal, complemented
27#36285C211yesmaximal, characteristic, complemented
28#36165C211yesmaximal, characteristic
29#35187C211yesmaximal, characteristic, complemented
30#35187C211yesmaximal, characteristic, complemented
31#35132C212yesmaximal, complemented
32#34945C211yesmaximal, characteristic
33#34920C211yesmaximal, characteristic, complemented
34#34499C212yesmaximal
35C4×#556C211yesmaximal, characteristic
36C2×#556C2212yes—
37C2×#556C2211yescharacteristic
38#2868C2211yescharacteristic
39#2864C2212yes—
40#2864C2212yes—
41#2863C2212yes—
42#2863C2212yes—
43#2863C2212yes—
44#2862C2212yes—
45#2859C2212yes—
46#2859C2211yescharacteristic
47#2859C2211yescharacteristic
48#2851C2212yes—
49#2839C2214yes—
50#2833C2214yes—
51#2809C2214yes—
52#2802C2214yes—
53#2794C2214yes—
54#2791C2214yes—
55#2790C2214yes—
56#2789C2214yes—
57#2787C2214yes—
58#2787C2214yes—
59#2776C2214yes—
60#2770C2214yes—
61#2769C2214yes—
62#2767C2214yes—
63#2766C2214yes—
64#2766C2214yes—
65#2766C2214yes—
66#2765C2214yes—
67#2764C2214yes—
68#2762C2214yes—
69#2762C2214yes—
70#2762C2214yes—
71#2758C2214yes—
72#2745C2214yes—
73#2744C2214yes—
74#2744C2214yes—
75#2739C2214yes—
76#2739C2214yes—
77#2729C2214yes—
78#2722C2214yes—
79#2722C2214yes—
80#2698C2214yes—
81#2698C2214yes—
82#2690C2214yes—
83#2689C2214yes—
84#2666C2214yes—
85#2666C2214yes—
86#2655C2214yes—
87#2655C2214yes—
88#2655C2214yes—
89#2655C2214yes—
90#2652C2214yes—
91#2647C2212yes—
92#2645C2212yes—
93#2612C2214yes—
94#2612C2214yes—
95#2606C2214yes—
96#2599C2214yes—
97#2590C2212yes—
98#2590C2214yes—
99#2590C2214yes—
100#2588C2212yes—
101#2588C2214yes—
102#2584C2211yescharacteristic
103#2582C2211yescharacteristic
104#2582C2212yes—
105#2582C2211yescharacteristic
106#2582C2212yes—
107#2581C2212yes—
108#2581C2211yescharacteristic
109#2577C2214yes—
110#2573C2214yes—
111#2571C2212yes—
112#2571C2211yescharacteristic
113#2571C2211yescharacteristic
114#2571C2211yescharacteristic
115#2571C2212yes—
116#2570C2212yes—
117#2570C2212yes—
118#2570C2212yes—
119#2570C2212yes—
120#2568C2212yes—
121#2568C2211yescharacteristic
122#2567C2212yes—
123#2565C2212yes—
124#2565C2211yescharacteristic
125#2552C2212yes—
126#2550C2212yes—
127#2550C2211yescharacteristic
128#2550C2212yes—
129#2547C2211yescharacteristic
130#2547C2212yes—
131#2546C2211yescharacteristic
132#2546C2211yescharacteristic
133#2546C2212yes—
134#2538C2211yescharacteristic
135#2533C2214yes—
136#2528C2214yes—
137#2528C2214yes—
138#2528C2214yes—
139#2524C2214yes—
140#2524C2214yes—
141#2524C2214yes—
142#2524C2214yes—
143#2524C2214yes—
144#2523C2214yes—
145#2520C2212yes—
146#2514C2212yes—
147#2514C2212yes—
148#2514C2212yes—
149#2514C2212yes—
150#2514C2212yes—
151#2514C2212yes—
152#2511C2212yes—
153#2511C2214yes—
154#2509C2214yes—
155#2509C2212yes—
156#2509C2214yes—
157#2509C2212yes—
158#2509C2212yes—
159#2508C2212yes—
160#2508C2212yes—
161#2508C2212yes—
162#2508C2212yes—
163#2508C2211yescharacteristic
164#2508C2212yes—
165#2507C2212yes—
166#2507C2212yes—
167#2507C2212yes—
168#2507C2212yes—
169#2506C2211yescharacteristic
170#2505C2214yes—
171#2505C2214yes—
172#2503C2212yes—
173#2502C2212yes—
174#2497C2212yes—
175#2496C2212yes—
176#2496C2212yes—
177#2495C2212yes—
178#2494C2212yes—
179#2494C2212yes—
180#2494C2212yes—
181#2493C2214yes—
182#2493C2214yes—
183#2492C2212yes—
184#2489C2212yes—
185#2478C2214yes—
186#2478C2214yes—
187#2478C2214yes—
188#2462C2214yes—
189#2462C2212yes—
190#2453C2211yescharacteristic
191#2452C2212yes—
192#2451C2212yes—
193#2451C2211yescharacteristic
194#2451C2212yes—
195#2451C2212yes—
196#2447C2212yes—
197#2447C2212yes—
198#2447C2212yes—
199#2446C2214yes—
200#2446C2212yes—
201#2446C2212yes—
202#2446C2212yes—
203#2446C2212yes—
204#2446C2212yes—
205#2446C2212yes—
206#2442C2212yes—
207#2442C2212yes—
208#2442C2212yes—
209#2442C2212yes—
210#2440C2212yes—
211#2440C2212yes—
212#2438C2214yes—
213#2438C2214yes—
214#2438C2214yes—
215#2421C2214yes—
216#2421C2212yes—
217#2402C2212yes—
218#2401C2214yes—
219#2399C2212yes—
220#2383C2214yes—
221#2378C2214yes—
222#2373C2212yes—
223#2373C2212yes—
224#2373C2214yes—
225#2370C2212yes—
226#2370C2212yes—
227#2369C2212yes—
228#2367C2212yes—
229#2367C2211yescharacteristic
230#2367C2211yescharacteristic
231#2365C2212yes—
232#2365C2212yes—
233#2365C2211yescharacteristic
234#2362C2212yes—
235#2356C2214yes—
236#2356C2211yescharacteristic
237#2356C2211yescharacteristic
238#2356C2212yes—
239#2355C2211yescharacteristic
240#2355C2211yescharacteristic
241#2355C2211yescharacteristic
242#2355C2212yes—
243#2355C2212yes—
244#2354C2211yescharacteristic
245#2351C2212yes—
246#2351C2212yes—
247Q8×C4⋊C4C2211yescharacteristic
248Q8×C4⋊C4C2211yescharacteristic
249Q8×C4⋊C4C2212yes—
250#2349C2212yes—
251#2349C2212yes—
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254#2347C2212yes—
255#2345C2212yes—
256#2344C2212yes—
257#2343C2214yes—
258#2334C2214yes—
259#2334C2214yes—
260#2329C2214yes—
261#2329C2214yes—
262#2327C2212yes—
263#2327C2212yes—
264#2326C2212yes—
265#2320C2212yes—
266#2320C2212yes—
267#2319C2212yes—
268#2314C2214yes—
269C4×C4⋊Q8C2212yes—
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#125C2211yescharacteristic
277C4×#125C2212yes—
278C4×#125C2212yes—
279C4×#126C2212yes—
280C4×#126C2212yes—
281C4×#124C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×#124C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2295C2212yes—
291#2283C2212yes—
292C2×#382C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299#556—216no—
300#556—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#124C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2311yescharacteristic
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2314yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×#117C2314yes—
350C2×#117C2312yes—
351C2×#117C2312yes—
352C22×C4⋊C4C2312yes—
353C22×C4⋊C4C2312yes—
354C22×C42C2312yes—
355#401C2314yes—
356#401C2314yes—
357#401C2314yes—
358#401C2314yes—
359#401C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2312yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2312yes—
398#398C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2312yes—
415#398C2312yes—
416#398C2312yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#396C2314yes—
439#396C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2312yes—
443#395C2314yes—
444#395C2312yes—
445#395C2312yes—
446#395C2314yes—
447#395C2312yes—
448#393C2314yes—
449#391C2314yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2311yescharacteristic
454#391C2311yescharacteristic
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#391C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2314yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2311yescharacteristic
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2314yes—
484#391C2312yes—
485#390C2311yescharacteristic
486#390C2312yes—
487#390C2311yescharacteristic
488#389C2312yes—
489#389C2311yescharacteristic
490#389C2311yescharacteristic
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2311yescharacteristic
496#389C2312yes—
497#389C2312yes—
498#389C2311yescharacteristic
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2314yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#387C2312yes—
574#387C2312yes—
575#387C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2314yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2314yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2312yes—
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#387C2312yes—
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#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2314yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#384C2312yes—
674#384C2314yes—
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#383C2312yes—
680#383C2312yes—
681#383C2314yes—
682#383C2314yes—
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#382C2311yescharacteristic
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2314yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2314yes—
705#382C2314yes—
706#382C2311yescharacteristic
707#382C2311yescharacteristic
708#382C2314yes—
709#382C2314yes—
710#382C2314yes—
711#381C2314yes—
712#381C2314yes—
713#381C2314yes—
714#381C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
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⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798#376C2312yes—
799#376C2312yes—
800#376C2314yes—
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804C2×#95C2314yes—
805C2×#95C2314yes—
806C43C2312yes—
807C43C2312yes—
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2312yes—
811C43C2311yescharacteristic
812C22×Q8C2411yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×D4C2411yescharacteristic
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2414yes—
823C23×C4C2412yes—
824C23×C4C2414yes—
825C4⋊Q8—24no—
826C4⋊Q8—28no—
827C4⋊Q8—24no—
828C4⋊Q8—44no—
829C4⋊Q8—42no—
830C4⋊Q8—44no—
831C4⋊Q8—44no—
832C4⋊Q8—44no—
833#126—28no—
834#126—216no—
835#126—216no—
836#126—28no—
837#125—24no—
838#125—44no—
839#125—42no—
840#125—44no—
841#125—44no—
842#124—28no—
843#124—24no—
844#124#4118yes—
845C22⋊Q8—28no—
846C22⋊Q8—216no—
847C22⋊Q8—48no—
848C22⋊Q8—44no—
849C4×Q8—28no—
850C4×Q8—24no—
851C4×Q8—28no—
852C4×Q8—24no—
853C4×Q8—24no—
854C4×Q8—28no—
855C4×Q8—24no—
856C4×Q8—24no—
857C4×Q8—24no—
858C4×Q8—24no—
859C4×Q8—24no—
860C4×Q8—42no—
861C4×Q8—48no—
862C4×Q8—44no—
863C4×Q8—44no—
864C4×Q8—42no—
865C4×Q8—44no—
866C4×Q8—42no—
867C4×Q8—42no—
868C4×D4—24no—
869C4×D4—28no—
870C4×D4—24no—
871C4×D4—42no—
872C4×D4—44no—
873#117—216no—
874#117—28no—
875#117—44no—
876C2×C4⋊C4—44no—
877C2×C4⋊C4—44no—
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C42—28no—
984C2×C42C2412yes—
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2414yes—
988C2×C42C2414yes—
989C2×C42C2411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2412yes—
992C2×C42C2412yes—
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995C2×C42C2412yes—
996C2×C42C2411yescharacteristic
997C2×C42C2411yescharacteristic
998C2×C42C2411yescharacteristic
999C2×C42C2412yes—
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2411yescharacteristic
1003C2×C42C2412yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031#95C2412yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2411yescharacteristic
1041#95C2411yescharacteristic
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2411yescharacteristic
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129C24C2512yes—
1130C2×Q8—22no—
1131C2×Q8—22no—
1132C2×Q8—24no—
1133C2×Q8—24no—
1134C2×Q8—22no—
1135C2×Q8—22no—
1136C2×Q8—22no—
1137C2×Q8—22no—
1138C2×Q8—22no—
1139C2×Q8—24no—
1140C2×Q8—22no—
1141C2×Q8—24no—
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—28no—
1145C2×Q8—41no—
1146C2×Q8—44no—
1147C2×Q8—42no—
1148C2×Q8—44no—
1149C2×Q8—42no—
1150C2×Q8C2×#4114yes—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4C2×#4114yes—
1154C22×C4—24no—
1155C22×C4—28no—
1156C22×C4—24no—
1157C22×C4—24no—
1158C22×C4—24no—
1159C22×C4—24no—
1160C22×C4—24no—
1161C22×C4—42no—
1162C22×C4—44no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4C2512yes—
1170C22×C4C2512yes—
1171C22×C4C2512yes—
1172C22×C4C2512yes—
1173C22×C4C2512yes—
1174C22×C4C2511yescharacteristic
1175C22×C4C2512yes—
1176C22×C4C2511yescharacteristic
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2511yescharacteristic
1181C22×C4C2512yes—
1182C22×C4C2514yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2514yes—
1187C22×C4C2514yes—
1188C22×C4C2512yes—
1189C22×C4C2511yescharacteristic
1190C22×C4C2511yescharacteristic
1191C22×C4C2514yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2511yescharacteristic
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C4⋊C4—22no—
1204C4⋊C4—24no—
1205C4⋊C4—24no—
1206C4⋊C4—28no—
1207C4⋊C4—22no—
1208C4⋊C4—24no—
1209C4⋊C4—24no—
1210C4⋊C4—24no—
1211C4⋊C4—28no—
1212C4⋊C4—28no—
1213C4⋊C4—22no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—22no—
1217C4⋊C4—24no—
1218C4⋊C4—28no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—24no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—44no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—41no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
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—44no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C22⋊C4—28no—
1292C22⋊C4—24no—
1293C22⋊C4—24no—
1294C22⋊C4—28no—
1295C22⋊C4—24no—
1296C22⋊C4—28no—
1297C22⋊C4—24no—
1298C22⋊C4—24no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—44no—
1303C22⋊C4—42no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4C2×#4118yes—
1307C22⋊C4C2×#4118yes—
1308C42—24no—
1309C42—28no—
1310C42—28no—
1311C42—24no—
1312C42—22no—
1313C42—24no—
1314C42—22no—
1315C42—24no—
1316C42—24no—
1317C42—24no—
1318C42—24no—
1319C42—24no—
1320C42—22no—
1321C42—24no—
1322C42—24no—
1323C42—24no—
1324C42—22no—
1325C42—24no—
1326C42—22no—
1327C42—24no—
1328C42—22no—
1329C42—22no—
1330C42—22no—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—41no—
1335C42—41no—
1336C42—41no—
1337C42—42no—
1338C42—42no—
1339C42—42no—
1340C42—42no—
1341C42—44no—
1342C42—41no—
1343C42—41no—
1344C42—42no—
1345C42—44no—
1346C42—42no—
1347C42—44no—
1348C42—44no—
1349C42—44no—
1350C42—42no—
1351C42—42no—
1352C42C2×#4114yes—
1353C422−1+414yes—
1354C422−1+414yes—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23C22×#4114yes—
1362C23C2611yescharacteristic
1363Q8—28no—
1364Q8—44no—
1365Q8—44no—
1366Q8—48no—
1367Q8—44no—
1368Q8—84no—
1369Q8—88no—
1370D4—28no—
1371C2×C4—21no—
1372C2×C4—22no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—22no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—22no—
1387C2×C4—24no—
1388C2×C4—22no—
1389C2×C4—21no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—24no—
1394C2×C4—21no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—24no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—24no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—24no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—48no—
1461C2×C4—48no—
1462C2×C4—84no—
1463C2×C4—88no—
1464C2×C4—164no—
1465C2×C4C22×#4112yes—
1466C2×C4C22×#4114yes—
1467C2×C4C22×#4112yes—
1468C2×C4C22×#4112yes—
1469C2×C4C2×2−1+412yes—
1470C2×C4C2×2−1+412yes—
1471C2×C4C2×2−1+412yes—
1472C2×C4C2×2−1+412yes—
1473C2×C4C2×2−1+412yes—
1474C2×C4C2×2−1+412yes—
1475C2×C4#58512yes—
1476C2×C4#58512yes—
1477C2×C4#58512yes—
1478C22—24no—
1479C22—24no—
1480C22—24no—
1481C22—42no—
1482C22—42no—
1483C22—42no—
1484C22—42no—
1485C22C23×#4111yescharacteristic
1486C22C22×2−1+411yescharacteristic
1487C22C22×2−1+411yescharacteristic
1488C22C2×#58511yescharacteristic
1489C22C2×#58511yescharacteristic
1490C22C2×#58511yescharacteristic
1491C222−1+611yescharacteristic
1492C4—22no—
1493C4—22no—
1494C4—24no—
1495C4—22no—
1496C4—22no—
1497C4—22no—
1498C4—22no—
1499C4—42no—
1500C4—42no—
1501C4—41no—
1502C4—41no—
1503C4—44no—
1504C4—42no—
1505C4—42no—
1506C4—41no—
1507C4—41no—
1508C4—42no—
1509C4—44no—
1510C4—44no—
1511C4—42no—
1512C4—44no—
1513C4—42no—
1514C4—42no—
1515C4—42no—
1516C4—41no—
1517C4—42no—
1518C4—42no—
1519C4—42no—
1520C4—41no—
1521C4—41no—
1522C4—42no—
1523C4—42no—
1524C4#351514yes—
1525C4#355514yes—
1526C2—44no—
1527C2C2×#355511yescharacteristic
1528C2C2×#351511yescharacteristic
1529C2#6280511yescharacteristic
1530C2#6295611yescharacteristic
1531C2#6295911yescharacteristic
1532C2#6300911yescharacteristic
1533C2#6303011yescharacteristic
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. #59681C2semidirect
2. #59547C2semidirect
5. #59333C2semidirect
6. #51000C2semidirect
7. #50250C2semidirect
8. #46116C2semidirect
9. #46060C2semidirect
12. #43784C2semidirect
13. #42864C2semidirect
14. #42689C2semidirect
15. #41791C2semidirect
16. #40202C2semidirect
18. #39928C2semidirect
20. #39032C2semidirect
22. #38227C2semidirect
23. #36598C2semidirect
24. #36584C2semidirect
25. #36563C2semidirect
26. #36512C2semidirect
27. #36285C2semidirect
29. #35187C2semidirect
30. #35187C2semidirect
31. #35132C2semidirect
33. #34920C2semidirect

Maximal subgroups

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

subgroupindex
#596812
#595472
#594372
#594282
#593332
#510002
#502502
#461162
#460602
#454292
#453832
#437842
#428642
#426892
#417912
#402022
#400802
#399282
#396332
#390322
#389772
#382272
#365982
#365842
#365632
#365122
#362852
#361652
#351872
#351322
#349452
#349202
#344992
C4×#5562