Finite Group Databasebeta

← #7987447

Subgroups — #7987447

Order 512.

4185 conjugacy classes of subgroups.

The subgroup lattice has 1555 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59666C211yesmaximal, characteristic, complemented
2#59505C212yesmaximal, complemented
3#59447C212yesmaximal, complemented
4#59071C211yesmaximal, characteristic, complemented
5#59067C211yesmaximal, characteristic, complemented
6#50245C214yesmaximal, complemented
7#50241C214yesmaximal
8#46179C214yesmaximal, complemented
9#45346C212yesmaximal, complemented
10#45309C212yesmaximal
11#45278C212yesmaximal, complemented
12#45123C212yesmaximal, complemented
13#42856C212yesmaximal, complemented
14#42832C212yesmaximal, complemented
15#42710C212yesmaximal, complemented
16#42707C212yesmaximal
17#39607C211yesmaximal, characteristic, complemented
18#39480C211yesmaximal, characteristic, complemented
19#39478C211yesmaximal, characteristic, complemented
20#39299C212yesmaximal, complemented
21#39186C212yesmaximal
22#39149C211yesmaximal, characteristic, complemented
23#39107C214yesmaximal, complemented
24#36556C211yesmaximal, characteristic, complemented
25#36491C212yesmaximal, complemented
26#36475C212yesmaximal, complemented
27#36286C211yesmaximal, characteristic, complemented
28#36151C211yesmaximal, characteristic
29#35204C212yesmaximal, complemented
30#35183C212yesmaximal
31#34941C211yesmaximal, characteristic
32#34898C211yesmaximal, characteristic
33#34394C211yesmaximal, characteristic, complemented
34#34374C211yesmaximal, characteristic, complemented
35C4×#557C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2866C2214yes—
40#2865C2214yes—
41#2864C2212yes—
42#2864C2214yes—
43#2863C2212yes—
44#2862C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2839C2214yes—
48#2838C2214yes—
49#2805C2214yes—
50#2802C2214yes—
51#2802C2214yes—
52#2802C2214yes—
53#2800C2214yes—
54#2800C2214yes—
55#2794C2214yes—
56#2793C2214yes—
57#2793C2214yes—
58#2792C2214yes—
59#2783C2214yes—
60#2783C2214yes—
61#2777C2214yes—
62#2776C2214yes—
63#2776C2214yes—
64#2775C2214yes—
65#2774C2214yes—
66#2772C2214yes—
67#2767C2214yes—
68#2767C2214yes—
69#2767C2214yes—
70#2766C2214yes—
71#2762C2214yes—
72#2755C2214yes—
73#2754C2214yes—
74#2747C2214yes—
75#2739C2214yes—
76#2720C2214yes—
77#2719C2214yes—
78#2719C2214yes—
79#2719C2214yes—
80#2704C2214yes—
81#2690C2214yes—
82#2655C2214yes—
83#2655C2214yes—
84#2655C2214yes—
85#2654C2214yes—
86#2651C2214yes—
87#2650C2214yes—
88#2645C2212yes—
89#2629C2212yes—
90#2625C2212yes—
91#2625C2212yes—
92#2606C2214yes—
93#2605C2214yes—
94#2596C2214yes—
95#2596C2214yes—
96#2596C2214yes—
97#2594C2214yes—
98#2593C2214yes—
99#2590C2214yes—
100#2590C2214yes—
101#2590C2214yes—
102#2588C2214yes—
103#2588C2214yes—
104#2585C2214yes—
105#2582C2212yes—
106#2581C2212yes—
107#2581C2212yes—
108#2577C2212yes—
109#2575C2212yes—
110#2574C2212yes—
111#2574C2212yes—
112#2571C2211yescharacteristic
113#2570C2212yes—
114#2570C2212yes—
115#2570C2211yescharacteristic
116#2570C2214yes—
117#2570C2212yes—
118#2570C2214yes—
119#2568C2211yescharacteristic
120#2567C2211yescharacteristic
121#2567C2211yescharacteristic
122#2567C2211yescharacteristic
123#2565C2212yes—
124#2565C2212yes—
125#2565C2211yescharacteristic
126#2563C2211yescharacteristic
127#2562C2211yescharacteristic
128#2552C2211yescharacteristic
129#2552C2212yes—
130#2552C2211yescharacteristic
131#2552C2212yes—
132#2550C2212yes—
133#2546C2211yescharacteristic
134#2538C2211yescharacteristic
135#2536C2211yescharacteristic
136#2536C2212yes—
137#2533C2214yes—
138#2529C2214yes—
139#2529C2214yes—
140#2529C2214yes—
141#2528C2214yes—
142#2525C2214yes—
143#2525C2214yes—
144#2524C2214yes—
145#2524C2214yes—
146#2524C2214yes—
147#2524C2212yes—
148#2520C2214yes—
149#2520C2214yes—
150#2520C2214yes—
151#2519C2214yes—
152#2519C2214yes—
153#2514C2212yes—
154#2511C2212yes—
155#2511C2212yes—
156#2511C2212yes—
157#2511C2212yes—
158#2509C2212yes—
159#2509C2214yes—
160#2509C2212yes—
161#2508C2212yes—
162#2508C2212yes—
163#2508C2212yes—
164#2508C2212yes—
165#2508C2214yes—
166#2507C2212yes—
167#2507C2214yes—
168#2507C2212yes—
169#2506C2212yes—
170#2506C2212yes—
171#2506C2214yes—
172#2506C2212yes—
173#2497C2212yes—
174#2497C2212yes—
175#2497C2212yes—
176#2497C2211yescharacteristic
177#2497C2211yescharacteristic
178#2496C2211yescharacteristic
179#2495C2212yes—
180#2495C2211yescharacteristic
181#2494C2212yes—
182#2494C2212yes—
183#2489C2212yes—
184#2489C2212yes—
185#2489C2212yes—
186#2489C2212yes—
187#2475C2214yes—
188#2468C2212yes—
189#2462C2214yes—
190#2454C2212yes—
191#2453C2212yes—
192#2453C2212yes—
193#2453C2212yes—
194#2453C2212yes—
195#2453C2212yes—
196#2451C2212yes—
197#2446C2212yes—
198#2446C2212yes—
199#2446C2212yes—
200#2441C2212yes—
201#2429C2212yes—
202#2429C2212yes—
203#2429C2212yes—
204#2429C2212yes—
205#2423C2212yes—
206#2423C2211yescharacteristic
207#2423C2211yescharacteristic
208#2423C2211yescharacteristic
209#2421C2212yes—
210#2421C2212yes—
211#2421C2212yes—
212#2421C2212yes—
213#2421C2211yescharacteristic
214#2421C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2402C2212yes—
218#2396C2212yes—
219#2396C2212yes—
220#2395C2212yes—
221#2382C2214yes—
222#2378C2214yes—
223#2371C2214yes—
224#2370C2212yes—
225#2370C2214yes—
226#2370C2212yes—
227#2369C2211yescharacteristic
228#2369C2211yescharacteristic
229#2365C2211yescharacteristic
230#2365C2211yescharacteristic
231#2365C2211yescharacteristic
232#2365C2211yescharacteristic
233#2365C2211yescharacteristic
234#2365C2212yes—
235#2365C2212yes—
236#2365C2212yes—
237#2362C2212yes—
238#2362C2212yes—
239#2362C2212yes—
240#2356C2212yes—
241#2356C2212yes—
242#2355C2212yes—
243#2355C2212yes—
244#2355C2212yes—
245#2355C2211yescharacteristic
246#2355C2212yes—
247#2355C2212yes—
248#2351C2212yes—
249#2351C2212yes—
250#2351C2212yes—
251#2351C2212yes—
252#2351C2212yes—
253Q8×C4⋊C4C2212yes—
254Q8×C4⋊C4C2212yes—
255Q8×C4⋊C4C2212yes—
256Q8×C4⋊C4C2211yescharacteristic
257#2347C2212yes—
258#2346C2212yes—
259#2330C2212yes—
260#2330C2212yes—
261#2327C2212yes—
262#2323C2212yes—
263#2323C2212yes—
264#2323C2212yes—
265#2323C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2323C2212yes—
269#2320C2214yes—
270#2314C2212yes—
271#2314C2212yes—
272#2314C2214yes—
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×#125C2211yescharacteristic
277C4×#125C2212yes—
278C4×#125C2212yes—
279C4×#125C2214yes—
280C4×#125C2212yes—
281C4×#125C2214yes—
282C4×#126C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287#2298C2212yes—
288#2295C2212yes—
289#2293C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2283C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2212yes—
298C42×D4C2211yescharacteristic
299#557—28no—
300#533—28no—
301#533—28no—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#126C2312yes—
309C2×#125C2311yescharacteristic
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358#401C2314yes—
359#401C2314yes—
360#400C2312yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2312yes—
372#400C2312yes—
373#400C2312yes—
374#400C2314yes—
375#400C2314yes—
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#400C2312yes—
391#400C2312yes—
392#400C2314yes—
393#399C2312yes—
394#399C2312yes—
395#399C2312yes—
396#399C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2312yes—
400#398C2314yes—
401#398C2312yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2312yes—
410#398C2312yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#397C2312yes—
430#397C2312yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2312yes—
441#396C2312yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2312yes—
447#396C2314yes—
448#396C2314yes—
449#395C2312yes—
450#395C2312yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#394C2312yes—
456#394C2314yes—
457#394C2312yes—
458#393C2312yes—
459#393C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2311yescharacteristic
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2312yes—
472#391C2311yescharacteristic
473#391C2311yescharacteristic
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#390C2312yes—
489#390C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2311yescharacteristic
496#389C2314yes—
497#389C2314yes—
498#389C2312yes—
499#389C2314yes—
500#389C2312yes—
501#389C2314yes—
502#389C2312yes—
503#389C2314yes—
504#389C2312yes—
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2314yes—
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2314yes—
521#389C2311yescharacteristic
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2314yes—
555#389C2311yescharacteristic
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2314yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#384C2312yes—
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2314yes—
685#384C2311yescharacteristic
686#384C2314yes—
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#383C2312yes—
690#383C2312yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2311yescharacteristic
698#382C2314yes—
699#382C2314yes—
700#382C2312yes—
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2314yes—
704#382C2312yes—
705#382C2314yes—
706#382C2311yescharacteristic
707#382C2314yes—
708#382C2314yes—
709#382C2314yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#381C2312yes—
716#380C2311yescharacteristic
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806#376C2314yes—
807#376C2312yes—
808#376C2314yes—
809C43C2312yes—
810C43C2312yes—
811C43C2314yes—
812C43C2311yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×D4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C4⋊Q8—28no—
827C4⋊Q8—28no—
828C4⋊Q8—24no—
829C4⋊Q8—24no—
830C4⋊Q8—42no—
831C4⋊Q8#4118yes—
832#126—44no—
833#125—28no—
834#125—28no—
835#125—216no—
836#125—28no—
837#125—24no—
838#125—44no—
839#125—44no—
840#125—48no—
841#125—48no—
842C22⋊Q8—28no—
843C22⋊Q8—28no—
844C22⋊Q8—24no—
845C22⋊Q8—24no—
846C22⋊Q8—28no—
847C22⋊Q8—28no—
848C22⋊Q8—44no—
849C22⋊Q8—42no—
850C22⋊Q8—42no—
851C22⋊Q8—44no—
852C4×Q8—28no—
853C4×Q8—28no—
854C4×Q8—28no—
855C4×Q8—24no—
856C4×Q8—28no—
857C4×Q8—28no—
858C4×Q8—28no—
859C4×Q8—24no—
860C4×Q8—24no—
861C4×Q8—28no—
862C4×Q8—24no—
863C4×Q8—44no—
864C4×Q8—44no—
865C4×Q8—44no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—42no—
871C4×Q8—42no—
872C4×D4—24no—
873C4×D4—42no—
874C4×D4—42no—
875#117—28no—
876#117—28no—
877#117—44no—
878#117—44no—
879#117—44no—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C42—24no—
997C2×C42—24no—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2414yes—
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2414yes—
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2414yes—
1009C2×C42C2412yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2414yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2414yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2411yescharacteristic
1053#95C2411yescharacteristic
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132C24C2511yescharacteristic
1133C24C2511yescharacteristic
1134C2×Q8—22no—
1135C2×Q8—24no—
1136C2×Q8—22no—
1137C2×Q8—24no—
1138C2×Q8—24no—
1139C2×Q8—22no—
1140C2×Q8—24no—
1141C2×Q8—24no—
1142C2×Q8—22no—
1143C2×Q8—24no—
1144C2×Q8—22no—
1145C2×Q8—42no—
1146C2×Q8—42no—
1147C2×Q8—42no—
1148C2×Q8—42no—
1149C2×Q8—42no—
1150C2×Q8C2×#4118yes—
1151C2×Q82−1+414yes—
1152C2×D4—22no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4C2512yes—
1174C22×C4C2511yescharacteristic
1175C22×C4C2514yes—
1176C22×C4C2512yes—
1177C22×C4C2511yescharacteristic
1178C22×C4C2511yescharacteristic
1179C22×C4C2511yescharacteristic
1180C22×C4C2511yescharacteristic
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2511yescharacteristic
1184C22×C4C2512yes—
1185C22×C4C2514yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2514yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2514yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—22no—
1209C4⋊C4—28no—
1210C4⋊C4—28no—
1211C4⋊C4—28no—
1212C4⋊C4—28no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—28no—
1217C4⋊C4—24no—
1218C4⋊C4—22no—
1219C4⋊C4—28no—
1220C4⋊C4—28no—
1221C4⋊C4—22no—
1222C4⋊C4—28no—
1223C4⋊C4—24no—
1224C4⋊C4—22no—
1225C4⋊C4—24no—
1226C4⋊C4—22no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—28no—
1237C4⋊C4—28no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—24no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—41no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
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—
1293C4⋊C4—42no—
1294C4⋊C4C2×#4118yes—
1295C4⋊C4C2×#4118yes—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—24no—
1301C22⋊C4—24no—
1302C22⋊C4—22no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C42—22no—
1323C42—22no—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—22no—
1328C42—28no—
1329C42—28no—
1330C42—28no—
1331C42—24no—
1332C42—24no—
1333C42—24no—
1334C42—22no—
1335C42—28no—
1336C42—24no—
1337C42—24no—
1338C42—24no—
1339C42—24no—
1340C42—24no—
1341C42—24no—
1342C42—24no—
1343C42—22no—
1344C42—22no—
1345C42—41no—
1346C42—42no—
1347C42—42no—
1348C42—44no—
1349C42—41no—
1350C42—42no—
1351C42—44no—
1352C42—44no—
1353C42—44no—
1354C42—44no—
1355C42—44no—
1356C42—44no—
1357C42—42no—
1358C42—42no—
1359C42—44no—
1360C42—44no—
1361C42—42no—
1362C42C2×#4114yes—
1363C422−1+414yes—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23C2611yescharacteristic
1379Q8—216no—
1380Q8—28no—
1381Q8—44no—
1382Q8—48no—
1383Q8—84no—
1384Q8—84no—
1385D4—44no—
1386C2×C4—21no—
1387C2×C4—22no—
1388C2×C4—21no—
1389C2×C4—24no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—24no—
1393C2×C4—22no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—24no—
1405C2×C4—24no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—24no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—24no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—44no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—82no—
1479C2×C4C22×#4118yes—
1480C2×C4C22×#4112yes—
1481C2×C4C22×#4112yes—
1482C2×C4C22×#4112yes—
1483C2×C4C2×2−1+412yes—
1484C2×C4C2×2−1+414yes—
1485C2×C4C2×2−1+412yes—
1486C2×C4C2×2−1+412yes—
1487C2×C4C2×2−1+412yes—
1488C2×C4#58512yes—
1489C2×C4#58512yes—
1490C2×C4#58512yes—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22C23×#4111yescharacteristic
1506C22C22×2−1+411yescharacteristic
1507C22C22×2−1+411yescharacteristic
1508C22C2×#58511yescharacteristic
1509C22C2×#58511yescharacteristic
1510C22C2×#58511yescharacteristic
1511C222−1+611yescharacteristic
1512C4—22no—
1513C4—22no—
1514C4—22no—
1515C4—28no—
1516C4—24no—
1517C4—22no—
1518C4—42no—
1519C4—42no—
1520C4—41no—
1521C4—44no—
1522C4—42no—
1523C4—44no—
1524C4—42no—
1525C4—42no—
1526C4—41no—
1527C4—42no—
1528C4—42no—
1529C4—42no—
1530C4—41no—
1531C4—41no—
1532C4—42no—
1533C4—41no—
1534C4—41no—
1535C4—44no—
1536C4—42no—
1537C4—42no—
1538C4—42no—
1539C4—42no—
1540C4—42no—
1541C4—41no—
1542C4—42no—
1543C4#351514yes—
1544C4#351614yes—
1545C2—81no—
1546C2—81no—
1547C2#6276111yescharacteristic
1548C2C2×#351511yescharacteristic
1549C2C2×#351611yescharacteristic
1550C2#6293911yescharacteristic
1551C2#6294711yescharacteristic
1552C2#6300511yescharacteristic
1553C2#6303411yescharacteristic
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. #59666C2semidirect
2. #59505C2semidirect
3. #59447C2semidirect
4. #59071C2semidirect
5. #59067C2semidirect
6. #50245C2semidirect
8. #46179C2semidirect
9. #45346C2semidirect
11. #45278C2semidirect
12. #45123C2semidirect
13. #42856C2semidirect
14. #42832C2semidirect
15. #42710C2semidirect
17. #39607C2semidirect
18. #39480C2semidirect
19. #39478C2semidirect
20. #39299C2semidirect
22. #39149C2semidirect
23. #39107C2semidirect
24. #36556C2semidirect
25. #36491C2semidirect
26. #36475C2semidirect
27. #36286C2semidirect
29. #35204C2semidirect
33. #34394C2semidirect
34. #34374C2semidirect
35. C4×#557C2semidirect

Maximal subgroups

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

subgroupindex
#596662
#595052
#594472
#590712
#590672
#502452
#502412
#461792
#453462
#453092
#452782
#451232
#428562
#428322
#427102
#427072
#396072
#394802
#394782
#392992
#391862
#391492
#391072
#365562
#364912
#364752
#362862
#361512
#352042
#351832
#349412
#348982
#343942
#343742
C4×#5572