Finite Group Databasebeta

← #8749993

Subgroups — #8749993

Order 512.

4729 conjugacy classes of subgroups.

The subgroup lattice has 1499 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59908C211yesmaximal, characteristic, complemented
2#59483C212yesmaximal, complemented
3#57756C214yesmaximal, complemented
4#57653C214yesmaximal, complemented
5#57143C214yesmaximal, complemented
6#54396C214yesmaximal, complemented
7#53489C212yesmaximal, complemented
8#53154C212yesmaximal, complemented
9#52986C211yesmaximal, characteristic, complemented
10#52799C212yesmaximal, complemented
11#52640C214yesmaximal, complemented
12#47170C212yesmaximal, complemented
13#45369C211yesmaximal, characteristic, complemented
14#45061C212yesmaximal, complemented
15#45026C212yesmaximal, complemented
16#44876C212yesmaximal, complemented
17#44876C212yesmaximal, complemented
18#42967C212yesmaximal, complemented
19#42762C212yesmaximal, complemented
20#42745C212yesmaximal, complemented
21#42544C212yesmaximal, complemented
22#42479C211yesmaximal, characteristic, complemented
23#42201C212yesmaximal, complemented
24#41235C214yesmaximal, complemented
25#40049C212yesmaximal, complemented
26#38952C211yesmaximal, characteristic, complemented
27#36697C211yesmaximal, characteristic, complemented
28#36042C211yesmaximal, characteristic, complemented
29#35865C212yesmaximal, complemented
30C2×#554C2211yescharacteristic, complemented
31C2×#550C2211yescharacteristic
32C2×#550C2211yescharacteristic
33C2×#547C2211yescharacteristic
34C2×#535C2212yescomplemented
35#2858C2211yescharacteristic
36#2843C2211yescharacteristic, complemented
37#2839C2212yescomplemented
38#2838C2214yescomplemented
39#2838C2212yescomplemented
40#2837C2212yes—
41#2837C2214yescomplemented
42#2837C2214yescomplemented
43#2836C2212yescomplemented
44#2833C2211yescharacteristic, complemented
45#2832C2211yescharacteristic
46#2831C2212yescomplemented
47#2830C2214yescomplemented
48#2828C2212yes—
49#2828C2212yes—
50#2827C2214yescomplemented
51#2827C2214yescomplemented
52#2826C2214yescomplemented
53#2823C2211yescharacteristic
54#2821C2212yescomplemented
55#2816C2212yescomplemented
56#2813C2214yes—
57#2812C2214yes—
58#2797C2214yescomplemented
59#2796C2214yescomplemented
60#2795C2212yescomplemented
61#2790C2214yescomplemented
62#2785C2212yescomplemented
63#2784C2212yescomplemented
64#2781C2214yescomplemented
65#2779C2214yescomplemented
66#2779C2214yescomplemented
67#2778C2214yes—
68#2778C2214yescomplemented
69#2770C2214yescomplemented
70#2765C2214yescomplemented
71#2753C2214yescomplemented
72#2753C2214yescomplemented
73#2751C2214yescomplemented
74#2750C2214yescomplemented
75#2749C2214yescomplemented
76#2749C2214yescomplemented
77#2746C2214yescomplemented
78#2743C2214yescomplemented
79#2743C2214yescomplemented
80#2743C2214yescomplemented
81#2740C2214yescomplemented
82#2737C2214yescomplemented
83#2731C2212yescomplemented
84#2730C2214yescomplemented
85#2723C2214yescomplemented
86#2705C2214yescomplemented
87#2699C2214yescomplemented
88#2699C2214yescomplemented
89#2698C2214yescomplemented
90#2697C2214yescomplemented
91#2697C2214yescomplemented
92#2697C2214yescomplemented
93#2688C2214yescomplemented
94#2688C2214yescomplemented
95#2685C2214yes—
96#2685C2214yescomplemented
97#2685C2214yescomplemented
98#2684C2214yescomplemented
99#2681C2214yescomplemented
100#2679C2212yes—
101#2679C2212yes—
102#2678C2214yes—
103#2678C2214yes—
104#2678C2214yescomplemented
105#2678C2214yescomplemented
106#2672C2214yescomplemented
107#2672C2214yescomplemented
108#2672C2214yescomplemented
109#2670C2214yes—
110#2668C2214yescomplemented
111#2668C2214yescomplemented
112#2661C2214yes—
113#2651C2214yescomplemented
114#2650C2214yescomplemented
115#2650C2214yescomplemented
116#2648C2214yescomplemented
117#2648C2214yescomplemented
118#2644C2214yescomplemented
119#2642C2211yescharacteristic, complemented
120#2641C2212yes—
121#2641C2211yescharacteristic
122#2639C2212yes—
123#2636C2214yescomplemented
124#2625C2212yescomplemented
125#2622C2214yescomplemented
126#2620C2212yescomplemented
127#2618C2214yescomplemented
128#2618C2212yescomplemented
129#2616C2212yescomplemented
130#2609C2212yescomplemented
131#2603C2214yescomplemented
132#2602C2214yescomplemented
133#2593C2212yescomplemented
134#2592C2212yescomplemented
135#2592C2212yescomplemented
136#2591C2212yes—
137#2591C2214yescomplemented
138#2584C2211yescharacteristic, complemented
139#2576C2214yescomplemented
140#2572C2212yescomplemented
141#2568C2211yescharacteristic, complemented
142#2567C2211yescharacteristic, complemented
143#2566C2212yescomplemented
144#2562C2211yescharacteristic
145#2559C2214yescomplemented
146#2554C2214yescomplemented
147#2554C2214yescomplemented
148#2548C2211yescharacteristic
149#2548C2211yescharacteristic
150#2545C2212yescomplemented
151#2545C2212yescomplemented
152#2544C2212yes—
153#2544C2212yes—
154#2544C2212yes—
155#2544C2212yes—
156#2543C2214yescomplemented
157#2543C2214yescomplemented
158#2541C2212yes—
159#2529C2214yescomplemented
160#2526C2214yescomplemented
161#2526C2214yescomplemented
162#2518C2214yescomplemented
163#2513C2212yescomplemented
164#2512C2214yescomplemented
165#2512C2212yescomplemented
166#2510C2214yescomplemented
167#2510C2214yescomplemented
168#2503C2212yescomplemented
169#2501C2212yescomplemented
170#2496C2212yescomplemented
171#2494C2212yescomplemented
172#2492C2212yescomplemented
173#2490C2212yes—
174#2490C2212yes—
175#2489C2212yescomplemented
176#2488C2214yescomplemented
177#2488C2214yescomplemented
178#2482C2214yescomplemented
179#2480C2214yescomplemented
180#2476C2214yescomplemented
181#2474C2214yescomplemented
182#2472C2214yescomplemented
183#2471C2214yes—
184#2471C2214yescomplemented
185#2459C2214yescomplemented
186#2457C2214yescomplemented
187#2454C2212yescomplemented
188#2454C2212yescomplemented
189#2454C2212yescomplemented
190#2453C2212yescomplemented
191#2453C2212yescomplemented
192#2452C2212yescomplemented
193#2448C2212yescomplemented
194#2448C2212yescomplemented
195#2447C2212yescomplemented
196#2447C2212yescomplemented
197#2445C2212yescomplemented
198#2445C2212yescomplemented
199#2445C2212yescomplemented
200#2445C2212yescomplemented
201#2444C2214yescomplemented
202#2435C2212yescomplemented
203#2433C2212yes—
204#2433C2212yes—
205#2432C2212yescomplemented
206#2431C2212yes—
207#2431C2212yes—
208#2430C2214yescomplemented
209#2430C2214yescomplemented
210#2426C2212yes—
211#2426C2212yes—
212#2425C2214yescomplemented
213#2424C2214yescomplemented
214#2424C2214yescomplemented
215#2422C2212yes—
216#2420C2212yes—
217#2419C2214yescomplemented
218#2418C2214yescomplemented
219#2412C2214yes—
220#2408C2212yes—
221#2406C2212yescomplemented
222#2404C2214yescomplemented
223#2404C2214yescomplemented
224#2402C2212yescomplemented
225#2401C2212yescomplemented
226#2399C2211yescharacteristic, complemented
227#2398C2211yescharacteristic
228#2396C2212yescomplemented
229#2396C2212yescomplemented
230#2395C2212yes—
231C2×#400C2212yescomplemented
232#2392C2214yescomplemented
233#2372C2212yescomplemented
234#2370C2212yescomplemented
235#2366C2212yes—
236#2366C2212yescomplemented
237#2366C2212yescomplemented
238#2359C2214yescomplemented
239#2357C2212yescomplemented
240#2356C2212yescomplemented
241#2355C2212yescomplemented
242#2354C2212yescomplemented
243#2341C2212yescomplemented
244#2339C2212yescomplemented
245#2339C2212yescomplemented
246D4×C22⋊C4C2212yescomplemented
247D4×C22⋊C4C2212yescomplemented
248#2326C2212yescomplemented
249#2324C2212yes—
250#2324C2212yes—
251#2321C2214yescomplemented
252#2319C2211yescharacteristic, complemented
253#2311C2212yescomplemented
254C4×C4⋊Q8C2211yescharacteristic, complemented
255C4×#126C2212yescomplemented
256C4×#124C2212yescomplemented
257#2293C2211yescharacteristic, complemented
258#2275C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C22×#41C2312yes—
262C23×D4C2312yes—
263#554—44no—
264#550—44no—
265#550—44no—
266#547—44no—
267#535—48no—
268C2×C4⋊Q8C2311yescharacteristic
269C2×C4⋊Q8C2311yescharacteristic
270C2×C4⋊Q8C2311yescharacteristic
271C2×#127C2312yes—
272C2×#127C2312yes—
273C2×#127C2311yescharacteristic
274C2×#127C2312yes—
275C2×#127C2311yescharacteristic
276C2×#126C2312yes—
277C2×#126C2314yes—
278C2×#126C2314yes—
279C2×#125C2311yescharacteristic
280C2×#125C2312yes—
281C2×#125C2311yescharacteristic
282C2×#124C2312yes—
283C2×#124C2312yes—
284C2×#124C2312yes—
285C2×#124C2312yes—
286C2×#124C2312yes—
287C2×#124C2314yes—
288C2×#124C2312yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2314yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2314yes—
305C2×#121C2314yes—
306C2×#121C2312yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#120C2314yes—
312C2×#120C2314yes—
313C2×#120C2314yes—
314C2×#120C2314yes—
315C2×#120C2314yes—
316C2×#120C2314yes—
317C2×#120C2314yes—
318C2×C4×Q8C2311yescharacteristic
319C2×C4×Q8C2311yescharacteristic
320C2×C4×Q8C2312yes—
321C2×C4×Q8C2311yescharacteristic
322C2×C4×Q8C2312yes—
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2312yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2312yes—
332C2×C4×D4C2314yes—
333C2×C4×D4C2314yes—
334C2×C4×D4C2314yes—
335C2×#117C2312yes—
336C2×#117C2312yes—
337C2×#117C2314yes—
338C22×C4⋊C4C2312yes—
339C22×C4⋊C4C2312yes—
340C22×C22⋊C4C2314yes—
341C22×C22⋊C4C2314yes—
342#401C2314yes—
343#401C2312yes—
344#400C2312yes—
345#400C2312yes—
346#400C2312yes—
347#400C2312yes—
348#400C2312yes—
349#400C2312yes—
350#400C2314yes—
351#400C2312yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2311yescharacteristic
356#400C2311yescharacteristic
357#400C2312yes—
358#400C2312yes—
359#400C2312yes—
360#400C2312yes—
361#400C2312yes—
362#400C2312yes—
363#400C2312yes—
364#400C2312yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#399C2314yes—
369#399C2312yes—
370#399C2312yes—
371#399C2314yes—
372#399C2314yes—
373#399C2312yes—
374#399C2314yes—
375#399C2314yes—
376#398C2311yescharacteristic
377#398C2312yes—
378#398C2312yes—
379#398C2312yes—
380#398C2311yescharacteristic
381#398C2312yes—
382#398C2312yes—
383#398C2314yes—
384#398C2314yes—
385#398C2312yes—
386#398C2312yes—
387#398C2312yes—
388#398C2312yes—
389#398C2312yes—
390#398C2314yes—
391#398C2312yes—
392#397C2312yes—
393#397C2312yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2312yes—
405#397C2312yes—
406#397C2312yes—
407#397C2312yes—
408#397C2312yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2312yes—
422#396C2312yes—
423#396C2312yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2312yes—
431#396C2312yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#395C2312yes—
438#395C2312yes—
439#395C2314yes—
440#395C2311yescharacteristic
441#395C2312yes—
442#395C2312yes—
443#395C2311yescharacteristic
444#394C2312yes—
445#394C2314yes—
446#394C2312yes—
447#394C2314yes—
448#394C2312yes—
449#394C2311yescharacteristic
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2311yescharacteristic
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#393C2314yes—
486#393C2312yes—
487#393C2312yes—
488#393C2314yes—
489#393C2314yes—
490#393C2312yes—
491#393C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#391C2311yescharacteristic
504#391C2311yescharacteristic
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2314yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#384C2311yescharacteristic
653#384C2312yes—
654#384C2312yes—
655#383C2312yes—
656#383C2314yes—
657#382C2312yes—
658#382C2312yes—
659#382C2314yes—
660#382C2314yes—
661#381C2312yes—
662#381C2314yes—
663#381C2314yes—
664#381C2314yes—
665#381C2314yes—
666#381C2314yes—
667#381C2314yes—
668#380C2312yes—
669#380C2312yes—
670#380C2314yes—
671#380C2314yes—
672#380C2312yes—
673#380C2314yes—
674#380C2312yes—
675#380C2314yes—
676#380C2314yes—
677#379C2314yes—
678#379C2314yes—
679#379C2314yes—
680#379C2314yes—
681#379C2314yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2311yescharacteristic
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2311yescharacteristic
689C4×C4⋊C4C2311yescharacteristic
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710#376C2311yescharacteristic
711#376C2314yes—
712#376C2311yescharacteristic
713C2×#95C2314yes—
714C2×#95C2314yes—
715C2×#95C2312yes—
716C43C2311yescharacteristic
717C25C2414yes—
718C2×#41—28no—
719C2×#41—44no—
720C2×#41—44no—
721C2×#41—44no—
722C2×#41—44no—
723C2×#41—44no—
724C2×#41—82no—
725C2×#41—84no—
726C22×Q8C2412yes—
727C22×Q8C2411yescharacteristic
728C22×Q8C2411yescharacteristic
729C22×Q8C2411yescharacteristic
730C22×Q8C2412yes—
731C22×D4—44no—
732C22×D4—44no—
733C22×D4—44no—
734C22×D4C2412yes—
735C22×D4C2412yes—
736C22×D4C2411yescharacteristic
737C22×D4C2414yes—
738C22×D4C2414yes—
739C22×D4C2414yes—
740C22×D4C2412yes—
741C22×D4C2414yes—
742C22×D4C2414yes—
743C22×D4C2411yescharacteristic
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2412yes—
748C22×D4C2412yes—
749C22×D4C2414yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C23×C4C2412yes—
753C23×C4C2412yes—
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2414yes—
757C23×C4C2414yes—
758C23×C4C2414yes—
759C23×C4C2414yes—
760C23×C4C2414yes—
761C23×C4C2414yes—
762C4⋊Q8—42no—
763C4⋊Q8—42no—
764C4⋊Q8—42no—
765#127—28no—
766#127—28no—
767#127—44no—
768#127—42no—
769#127—42no—
770#126—44no—
771#126—84no—
772#126—84no—
773#125—44no—
774#125—42no—
775#125—42no—
776#124—44no—
777#124—44no—
778#124—44no—
779#124—44no—
780#124—44no—
781#124—82no—
782#124—84no—
783#123—48no—
784#123—48no—
785#123—84no—
786#123—84no—
787#123—84no—
788#123—84no—
789C22⋊Q8—44no—
790C22⋊Q8—44no—
791C22⋊Q8—44no—
792C22⋊Q8—44no—
793C22⋊Q8—84no—
794#121—48no—
795#121—48no—
796#121—44no—
797#121—44no—
798#121—48no—
799#121—48no—
800#121—44no—
801#121—44no—
802#121—44no—
803#121—84no—
804#121—84no—
805#120—48no—
806#120—48no—
807#120—48no—
808#120—84no—
809#120—84no—
810#120—84no—
811#120—84no—
812C4×Q8—42no—
813C4×Q8—42no—
814C4×Q8—42no—
815C4×Q8—44no—
816C4×Q8—44no—
817C4×D4—24no—
818C4×D4—24no—
819C4×D4—24no—
820C4×D4—44no—
821C4×D4—44no—
822C4×D4—44no—
823C4×D4—44no—
824C4×D4—44no—
825C4×D4—42no—
826C4×D4—84no—
827C4×D4—84no—
828C4×D4—84no—
829#117—44no—
830#117—84no—
831#117—82no—
832C2×C4⋊C4—44no—
833C2×C4⋊C4—44no—
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2411yescharacteristic
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2411yescharacteristic
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C22⋊C4—84no—
887C2×C22⋊C4—84no—
888C2×C22⋊C4C2412yes—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2412yes—
891C2×C22⋊C4C2412yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C42C2412yes—
952C2×C42C2412yes—
953C2×C42C2411yescharacteristic
954C2×C42C2411yescharacteristic
955C2×C42C2411yescharacteristic
956C2×C42C2412yes—
957C2×C42C2412yes—
958C2×C42C2412yes—
959C2×C42C2411yescharacteristic
960C2×C42C2411yescharacteristic
961C2×C42C2412yes—
962C2×C42C2414yes—
963C2×C42C2412yes—
964C2×C42C2414yes—
965C2×C42C2414yes—
966C2×C42C2414yes—
967C2×C42C2414yes—
968C2×C42C2412yes—
969C2×C42C2412yes—
970#95C2411yescharacteristic
971#95C2412yes—
972#95C2412yes—
973#95C2412yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2412yes—
982#95C2414yes—
983#95C2412yes—
984#95C2411yescharacteristic
985#95C2411yescharacteristic
986#95C2411yescharacteristic
987#95C2414yes—
988#95C2412yes—
989#95C2414yes—
990#95C2412yes—
991#95C2412yes—
992#95C2412yes—
993#95C2414yes—
994#95C2412yes—
995#95C2412yes—
996#95C2414yes—
997#95C2414yes—
998#95C2412yes—
999#95C2414yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2414yes—
1009#95C2412yes—
1010#95C2414yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031C24—44no—
1032C24—44no—
1033C24—44no—
1034C24—44no—
1035C24—44no—
1036C24—44no—
1037C24—44no—
1038C24C2512yes—
1039C24C2514yes—
1040C24C2514yes—
1041C24C2512yes—
1042#41—816no—
1043#41—816no—
1044#41—816no—
1045C2×Q8—24no—
1046C2×Q8—24no—
1047C2×Q8—24no—
1048C2×Q8—22no—
1049C2×Q8—22no—
1050C2×Q8—41no—
1051C2×Q8—41no—
1052C2×Q8—41no—
1053C2×Q8—42no—
1054C2×Q8—41no—
1055C2×Q8—41no—
1056C2×Q8—42no—
1057C2×Q8—44no—
1058C2×D4—28no—
1059C2×D4—28no—
1060C2×D4—28no—
1061C2×D4—28no—
1062C2×D4—28no—
1063C2×D4—24no—
1064C2×D4—24no—
1065C2×D4—24no—
1066C2×D4—24no—
1067C2×D4—24no—
1068C2×D4—24no—
1069C2×D4—24no—
1070C2×D4—24no—
1071C2×D4—41no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—42no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—42no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—42no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—42no—
1106C2×D4—44no—
1107C2×D4—816no—
1108C2×D4H(5,𝔽2)14yes—
1109C22×C4—24no—
1110C22×C4—24no—
1111C22×C4—24no—
1112C22×C4—28no—
1113C22×C4—24no—
1114C22×C4—24no—
1115C22×C4—24no—
1116C22×C4—24no—
1117C22×C4—42no—
1118C22×C4—44no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—44no—
1122C22×C4—44no—
1123C22×C4—44no—
1124C22×C4—44no—
1125C22×C4—44no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4C2512yes—
1138C22×C4C2512yes—
1139C22×C4C2512yes—
1140C22×C4C2514yes—
1141C22×C4C2512yes—
1142C22×C4C2514yes—
1143C22×C4C2512yes—
1144C22×C4C2511yescharacteristic
1145C22×C4C2512yes—
1146C22×C4C2514yes—
1147C22×C4C2511yescharacteristic
1148C22×C4C2511yescharacteristic
1149C22×C4C2512yes—
1150C22×C4C2512yes—
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2512yes—
1154C22×C4C2514yes—
1155C22×C4C2512yes—
1156C22×C4C2511yescharacteristic
1157C22×C4C2511yescharacteristic
1158C22×C4C2512yes—
1159C22×C4C2512yes—
1160C22×C4C2511yescharacteristic
1161C22×C4C2511yescharacteristic
1162C4⋊C4—22no—
1163C4⋊C4—22no—
1164C4⋊C4—22no—
1165C4⋊C4—24no—
1166C4⋊C4—24no—
1167C4⋊C4—24no—
1168C4⋊C4—24no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—42no—
1172C4⋊C4—44no—
1173C4⋊C4—42no—
1174C4⋊C4—42no—
1175C4⋊C4—42no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—42no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—41no—
1187C4⋊C4—42no—
1188C4⋊C4—42no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—42no—
1193C4⋊C4—42no—
1194C4⋊C4—42no—
1195C4⋊C4—42no—
1196C4⋊C4—42no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C4⋊C4—42no—
1201C4⋊C4—42no—
1202C4⋊C4—42no—
1203C4⋊C4—42no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—42no—
1209C4⋊C4—42no—
1210C4⋊C4—42no—
1211C4⋊C4—44no—
1212C4⋊C4—42no—
1213C4⋊C4—42no—
1214C22⋊C4—24no—
1215C22⋊C4—24no—
1216C22⋊C4—24no—
1217C22⋊C4—24no—
1218C22⋊C4—28no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—42no—
1228C22⋊C4—42no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—42no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—42no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C42—24no—
1278C42—24no—
1279C42—22no—
1280C42—22no—
1281C42—22no—
1282C42—24no—
1283C42—24no—
1284C42—24no—
1285C42—22no—
1286C42—41no—
1287C42—42no—
1288C42—44no—
1289C42—42no—
1290C42—44no—
1291C42—44no—
1292C42—44no—
1293C42—44no—
1294C42—42no—
1295C42—42no—
1296C23—22no—
1297C23—24no—
1298C23—24no—
1299C23—22no—
1300C23—22no—
1301C23—24no—
1302C23—24no—
1303C23—24no—
1304C23—22no—
1305C23—24no—
1306C23—24no—
1307C23—24no—
1308C23—24no—
1309C23—24no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—24no—
1315C23—24no—
1316C23—24no—
1317C23—24no—
1318C23—24no—
1319C23—24no—
1320C23—22no—
1321C23—88no—
1322C23—88no—
1323C23—88no—
1324C23—164no—
1325C23—164no—
1326C23—164no—
1327C23—164no—
1328C23C2×H(5,𝔽2)14yes—
1329C23C2611yescharacteristic
1330Q8—44no—
1331Q8—44no—
1332Q8—48no—
1333Q8—82no—
1334Q8—162no—
1335D4—28no—
1336D4—48no—
1337D4—48no—
1338D4—84no—
1339D4—88no—
1340D4—88no—
1341D4—88no—
1342D4—88no—
1343D4—88no—
1344D4—82no—
1345D4—88no—
1346D4—88no—
1347D4—84no—
1348D4—162no—
1349D4—164no—
1350D4—164no—
1351D4—162no—
1352D4—164no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—24no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—21no—
1377C2×C4—24no—
1378C2×C4—24no—
1379C2×C4—24no—
1380C2×C4—24no—
1381C2×C4—24no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—21no—
1385C2×C4—24no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—24no—
1392C2×C4—21no—
1393C2×C4—22no—
1394C2×C4—24no—
1395C2×C4—24no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—24no—
1400C2×C4—22no—
1401C2×C4—24no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—24no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—48no—
1420C2×C4—48no—
1421C2×C4—84no—
1422C2×C4—88no—
1423C2×C4—84no—
1424C2×C4—88no—
1425C2×C4—88no—
1426C2×C4—88no—
1427C2×C4—164no—
1428C2×C4—164no—
1429C2×C4C2×H(5,𝔽2)12yes—
1430C2×C4#58512yes—
1431C2×C4#58514yes—
1432C22—24no—
1433C22—24no—
1434C22—24no—
1435C22—44no—
1436C22—44no—
1437C22—42no—
1438C22—44no—
1439C22—44no—
1440C22—44no—
1441C22—44no—
1442C22—42no—
1443C22—44no—
1444C22—44no—
1445C22—42no—
1446C22—44no—
1447C22—44no—
1448C22—42no—
1449C22—44no—
1450C22—44no—
1451C22—42no—
1452C22—44no—
1453C22—44no—
1454C22—42no—
1455C22—44no—
1456C22—42no—
1457C22—44no—
1458C22—1616no—
1459C22C22×H(5,𝔽2)11yescharacteristic
1460C22C2×#58512yes—
1461C22C2×#58511yescharacteristic
1462C22H(7,𝔽2)12yes—
1463C22H(7,𝔽2)11yescharacteristic
1464C4—22no—
1465C4—42no—
1466C4—44no—
1467C4—42no—
1468C4—41no—
1469C4—42no—
1470C4—41no—
1471C4—42no—
1472C4—42no—
1473C4—41no—
1474C4—42no—
1475C4—44no—
1476C4—42no—
1477C4—42no—
1478C4—44no—
1479C4—42no—
1480C4—42no—
1481C4—42no—
1482C4—41no—
1483C4—41no—
1484C4—42no—
1485C4—42no—
1486C4—42no—
1487C4—44no—
1488C4#354514yes—
1489C2—44no—
1490C2—84no—
1491C2—84no—
1492C2—82no—
1493C2C2×#354511yescharacteristic
1494C2#6291811yescharacteristic
1495C2#6296912yes—
1496C2#6304111yescharacteristic
1497C2#6306012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59908C2semidirect
2. #59483C2semidirect
3. #57756C2semidirect
4. #57653C2semidirect
5. #57143C2semidirect
6. #54396C2semidirect
7. #53489C2semidirect
8. #53154C2semidirect
9. #52986C2semidirect
10. #52799C2semidirect
11. #52640C2semidirect
12. #47170C2semidirect
13. #45369C2semidirect
14. #45061C2semidirect
15. #45026C2semidirect
16. #44876C2semidirect
17. #44876C2semidirect
18. #42967C2semidirect
19. #42762C2semidirect
20. #42745C2semidirect
21. #42544C2semidirect
22. #42479C2semidirect
23. #42201C2semidirect
24. #41235C2semidirect
25. #40049C2semidirect
26. #38952C2semidirect
27. #36697C2semidirect
28. #36042C2semidirect
29. #35865C2semidirect
30. C2×#554C22semidirect
34. C2×#535C22semidirect
36. #2843C22semidirect
37. #2839C22semidirect
38. #2838C22semidirect
39. #2838C22semidirect
41. #2837C22semidirect
42. #2837C22semidirect
43. #2836C22semidirect
44. #2833C22semidirect
46. #2831C22semidirect
47. #2830C22semidirect
50. #2827C22semidirect
51. #2827C22semidirect
52. #2826C22semidirect
54. #2821C22semidirect
55. #2816C22semidirect
58. #2797C22semidirect
59. #2796C22semidirect
60. #2795C22semidirect
61. #2790C22semidirect
62. #2785C22semidirect
63. #2784C22semidirect
64. #2781C22semidirect
65. #2779C22semidirect
66. #2779C22semidirect
68. #2778C22semidirect
69. #2770C22semidirect
70. #2765C22semidirect
71. #2753C22semidirect
72. #2753C22semidirect
73. #2751C22semidirect
74. #2750C22semidirect
75. #2749C22semidirect
76. #2749C22semidirect
77. #2746C22semidirect
78. #2743C22semidirect
79. #2743C22semidirect
80. #2743C22semidirect
81. #2740C22semidirect
82. #2737C22semidirect
83. #2731C22semidirect
84. #2730C22semidirect
85. #2723C22semidirect
86. #2705C22semidirect
87. #2699C22semidirect
88. #2699C22semidirect
89. #2698C22semidirect
90. #2697C22semidirect
91. #2697C22semidirect
92. #2697C22semidirect
93. #2688C22semidirect
94. #2688C22semidirect
96. #2685C22semidirect
97. #2685C22semidirect
98. #2684C22semidirect
99. #2681C22semidirect
104. #2678C22semidirect
105. #2678C22semidirect
106. #2672C22semidirect
107. #2672C22semidirect
108. #2672C22semidirect
110. #2668C22semidirect
111. #2668C22semidirect
113. #2651C22semidirect
114. #2650C22semidirect
115. #2650C22semidirect
116. #2648C22semidirect
117. #2648C22semidirect
118. #2644C22semidirect
119. #2642C22semidirect
123. #2636C22semidirect
124. #2625C22semidirect
125. #2622C22semidirect
126. #2620C22semidirect
127. #2618C22semidirect
128. #2618C22semidirect
129. #2616C22semidirect
130. #2609C22semidirect
131. #2603C22semidirect
132. #2602C22semidirect
133. #2593C22semidirect
134. #2592C22semidirect
135. #2592C22semidirect
137. #2591C22semidirect
138. #2584C22semidirect
139. #2576C22semidirect
140. #2572C22semidirect
141. #2568C22semidirect
142. #2567C22semidirect
143. #2566C22semidirect
145. #2559C22semidirect
146. #2554C22semidirect
147. #2554C22semidirect
150. #2545C22semidirect
151. #2545C22semidirect
156. #2543C22semidirect
157. #2543C22semidirect
159. #2529C22semidirect
160. #2526C22semidirect
161. #2526C22semidirect
162. #2518C22semidirect
163. #2513C22semidirect
164. #2512C22semidirect
165. #2512C22semidirect
166. #2510C22semidirect
167. #2510C22semidirect
168. #2503C22semidirect
169. #2501C22semidirect
170. #2496C22semidirect
171. #2494C22semidirect
172. #2492C22semidirect
175. #2489C22semidirect
176. #2488C22semidirect
177. #2488C22semidirect
178. #2482C22semidirect
179. #2480C22semidirect
180. #2476C22semidirect
181. #2474C22semidirect
182. #2472C22semidirect
184. #2471C22semidirect
185. #2459C22semidirect
186. #2457C22semidirect
187. #2454C22semidirect
188. #2454C22semidirect
189. #2454C22semidirect
190. #2453C22semidirect
191. #2453C22semidirect
192. #2452C22semidirect
193. #2448C22semidirect
194. #2448C22semidirect
195. #2447C22semidirect
196. #2447C22semidirect
197. #2445C22semidirect
198. #2445C22semidirect
199. #2445C22semidirect
200. #2445C22semidirect
201. #2444C22semidirect
202. #2435C22semidirect
205. #2432C22semidirect
208. #2430C22semidirect
209. #2430C22semidirect
212. #2425C22semidirect
213. #2424C22semidirect
214. #2424C22semidirect
217. #2419C22semidirect
218. #2418C22semidirect
221. #2406C22semidirect
222. #2404C22semidirect
223. #2404C22semidirect
224. #2402C22semidirect
225. #2401C22semidirect
226. #2399C22semidirect
228. #2396C22semidirect
229. #2396C22semidirect
231. C2×#400C22semidirect
232. #2392C22semidirect
233. #2372C22semidirect
234. #2370C22semidirect
236. #2366C22semidirect
237. #2366C22semidirect
238. #2359C22semidirect
239. #2357C22semidirect
240. #2356C22semidirect
241. #2355C22semidirect
242. #2354C22semidirect
243. #2341C22semidirect
244. #2339C22semidirect
245. #2339C22semidirect
246. D4×C22⋊C4C22semidirect
247. D4×C22⋊C4C22semidirect
248. #2326C22semidirect
251. #2321C22semidirect
252. #2319C22semidirect
253. #2311C22semidirect
254. C4×C4⋊Q8C22semidirect
255. C4×#126C22semidirect
256. C4×#124C22semidirect
257. #2293C22semidirect
258. #2275C22semidirect

Maximal subgroups

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

subgroupindex
#599082
#594832
#577562
#576532
#571432
#543962
#534892
#531542
#529862
#527992
#526402
#471702
#453692
#450612
#450262
#448762
#429672
#427622
#427452
#425442
#424792
#422012
#412352
#400492
#389522
#366972
#360422
#358652