Finite Group Databasebeta

← #8651228

Subgroups — #8651228

Order 512.

5519 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59808C212yesmaximal, complemented
2#56285C214yesmaximal, complemented
3#54414C214yesmaximal, complemented
4#53488C212yesmaximal, complemented
5#52986C211yesmaximal, characteristic, complemented
6#49550C214yesmaximal, complemented
7#48482C214yesmaximal, complemented
8#48392C214yesmaximal, complemented
9#47170C212yesmaximal, complemented
10#46413C214yesmaximal, complemented
11#46345C211yesmaximal, characteristic, complemented
12#45688C212yesmaximal, complemented
13#45378C211yesmaximal, characteristic, complemented
14#44936C212yesmaximal, complemented
15#43017C212yesmaximal, complemented
16#42537C212yesmaximal, complemented
17#42482C211yesmaximal, characteristic, complemented
18#42011C212yesmaximal, complemented
19#40044C212yesmaximal, complemented
20#39358C212yesmaximal, complemented
21#38952C211yesmaximal, characteristic, complemented
22#38056C212yesmaximal, complemented
23#38056C212yesmaximal, complemented
24#37292C212yesmaximal, complemented
25#36291C212yesmaximal, complemented
26#35903C211yesmaximal, characteristic, complemented
27#35549C212yesmaximal, complemented
28#35007C212yesmaximal, complemented
29#34943C211yesmaximal, characteristic, complemented
30C2×#554C2211yescharacteristic, complemented
31C2×#550C2211yescharacteristic
32C2×#547C2211yescharacteristic
33C2×#546C2214yescomplemented
34C2×D42C2211yescharacteristic
35C2×D42C2212yescomplemented
36C2×#538C2214yescomplemented
37C2×#534C2214yescomplemented
38#2860C2212yescomplemented
39#2858C2211yescharacteristic, complemented
40#2856C2212yes—
41#2854C2212yescomplemented
42#2854C2212yescomplemented
43#2851C2212yescomplemented
44#2838C2214yescomplemented
45#2836C2214yescomplemented
46#2832C2212yescomplemented
47#2828C2212yescomplemented
48#2828C2212yescomplemented
49#2817C2212yescomplemented
50#2812C2214yescomplemented
51#2795C2212yescomplemented
52#2790C2214yescomplemented
53#2784C2212yescomplemented
54#2781C2214yescomplemented
55#2778C2214yescomplemented
56#2778C2214yescomplemented
57#2761C2214yescomplemented
58#2757C2214yescomplemented
59#2756C2214yescomplemented
60#2756C2214yescomplemented
61#2753C2214yescomplemented
62#2753C2214yescomplemented
63#2751C2214yescomplemented
64#2750C2214yescomplemented
65#2749C2214yescomplemented
66#2749C2214yescomplemented
67#2743C2214yescomplemented
68#2737C2214yescomplemented
69#2735C2214yescomplemented
70#2731C2212yescomplemented
71#2723C2214yescomplemented
72#2723C2214yescomplemented
73#2718C2214yescomplemented
74#2717C2214yescomplemented
75#2708C2214yescomplemented
76#2706C2214yescomplemented
77#2706C2214yescomplemented
78#2706C2214yescomplemented
79#2701C2214yescomplemented
80#2691C2214yescomplemented
81#2688C2214yescomplemented
82#2688C2214yescomplemented
83#2687C2214yescomplemented
84#2686C2214yescomplemented
85#2686C2214yescomplemented
86#2682C2214yescomplemented
87#2681C2214yescomplemented
88#2680C2212yescomplemented
89#2680C2214yescomplemented
90#2679C2214yescomplemented
91#2679C2212yescomplemented
92#2679C2212yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2672C2214yescomplemented
97#2672C2214yescomplemented
98#2672C2214yescomplemented
99#2672C2214yescomplemented
100#2671C2214yescomplemented
101#2670C2214yescomplemented
102#2668C2214yescomplemented
103#2668C2214yescomplemented
104#2668C2214yescomplemented
105#2662C2214yescomplemented
106#2661C2214yescomplemented
107#2660C2211yescharacteristic, complemented
108#2653C2214yescomplemented
109#2649C2214yescomplemented
110#2644C2212yescomplemented
111#2641C2211yescharacteristic
112#2641C2212yescomplemented
113#2639C2212yescomplemented
114#2638C2214yescomplemented
115#2627C2212yescomplemented
116#2620C2212yescomplemented
117#2617C2214yescomplemented
118#2616C2212yescomplemented
119#2595C2214yescomplemented
120#2591C2212yescomplemented
121#2580C2212yescomplemented
122#2576C2214yescomplemented
123#2572C2211yescharacteristic, complemented
124#2572C2211yescharacteristic, complemented
125#2572C2212yescomplemented
126#2571C2211yescharacteristic, complemented
127#2567C2211yescharacteristic, complemented
128#2567C2211yescharacteristic, complemented
129#2563C2212yescomplemented
130#2562C2211yescharacteristic, complemented
131#2562C2211yescharacteristic, complemented
132#2555C2212yescomplemented
133#2555C2214yescomplemented
134#2554C2214yescomplemented
135#2553C2214yescomplemented
136#2548C2211yescharacteristic
137#2548C2211yescharacteristic, complemented
138#2537C2211yescharacteristic
139#2537C2212yescomplemented
140#2535C2212yescomplemented
141#2534C2214yescomplemented
142#2534C2214yescomplemented
143#2534C2214yescomplemented
144#2518C2214yescomplemented
145#2516C2214yescomplemented
146#2513C2212yescomplemented
147#2513C2212yescomplemented
148#2512C2212yescomplemented
149#2510C2214yescomplemented
150#2508C2212yescomplemented
151#2501C2212yescomplemented
152#2495C2212yescomplemented
153#2495C2212yescomplemented
154#2494C2212yescomplemented
155#2491C2212yescomplemented
156#2491C2212yescomplemented
157#2490C2212yescomplemented
158#2490C2212yescomplemented
159#2490C2212yescomplemented
160#2487C2212yescomplemented
161#2486C2212yescomplemented
162#2480C2214yescomplemented
163#2472C2214yescomplemented
164#2472C2214yescomplemented
165#2472C2214yescomplemented
166#2472C2214yescomplemented
167#2471C2214yescomplemented
168#2467C2214yescomplemented
169#2467C2214yescomplemented
170#2464C2214yescomplemented
171#2459C2214yescomplemented
172#2457C2214yescomplemented
173#2456C2214yescomplemented
174#2454C2212yescomplemented
175#2454C2212yescomplemented
176#2454C2212yescomplemented
177#2452C2212yescomplemented
178#2445C2212yes—
179#2445C2212yescomplemented
180#2445C2212yescomplemented
181#2445C2212yescomplemented
182#2442C2212yescomplemented
183#2442C2212yescomplemented
184#2440C2212yescomplemented
185#2435C2212yescomplemented
186#2433C2212yes—
187#2433C2212yes—
188#2433C2212yescomplemented
189#2432C2212yescomplemented
190#2428C2212yes—
191#2428C2212yescomplemented
192#2425C2214yescomplemented
193#2424C2214yescomplemented
194#2422C2214yescomplemented
195#2422C2212yescomplemented
196#2422C2212yescomplemented
197#2420C2212yescomplemented
198#2420C2214yescomplemented
199#2420C2212yescomplemented
200#2420C2212yescomplemented
201#2420C2212yescomplemented
202#2418C2214yescomplemented
203#2418C2214yescomplemented
204#2418C2214yescomplemented
205#2418C2214yescomplemented
206#2416C2212yes—
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2412C2214yescomplemented
210#2412C2214yescomplemented
211#2412C2214yescomplemented
212#2412C2214yescomplemented
213#2410C2214yescomplemented
214#2410C2214yescomplemented
215#2410C2214yescomplemented
216#2410C2214yescomplemented
217#2408C2212yes—
218#2408C2212yescomplemented
219#2408C2212yescomplemented
220#2406C2212yescomplemented
221#2405C2214yescomplemented
222#2404C2214yescomplemented
223#2404C2214yescomplemented
224#2404C2214yescomplemented
225#2398C2212yescomplemented
226#2398C2211yescharacteristic, complemented
227#2398C2211yescharacteristic, complemented
228C2×#394C2212yescomplemented
229#2379C2212yescomplemented
230#2377C2214yescomplemented
231#2361C2212yescomplemented
232#2361C2212yescomplemented
233#2358C2214yescomplemented
234#2345C2212yescomplemented
235#2342C2214yescomplemented
236D4×C22⋊C4C2212yescomplemented
237D4×C22⋊C4C2212yescomplemented
238D4×C22⋊C4C2212yescomplemented
239#2330C2212yescomplemented
240#2328C2212yescomplemented
241#2328C2212yescomplemented
242#2321C2214yescomplemented
243#2321C2214yescomplemented
244#2319C2212yescomplemented
245#2319C2211yescharacteristic, complemented
246#2311C2212yescomplemented
247C4×C4⋊Q8C2211yescharacteristic, complemented
248C4×#121C2212yescomplemented
249C4×#121C2212yescomplemented
250C4×#121C2212yescomplemented
251C4×#121C2212yescomplemented
252#2293C2211yescharacteristic, complemented
253C2×#390C2212yescomplemented
254C2×#390C2212yescomplemented
255#2283C2212yescomplemented
256#2283C2212yescomplemented
257#2275C2211yescharacteristic, complemented
258C42×D4C2212yescomplemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C23×D4C2312yes—
262C23×D4C2312yes—
263C23×D4C2312yes—
264C23×D4C2314yes—
265#554—44no—
266#550—44no—
267#547—44no—
268#546—416no—
269D42—44no—
270D42—48no—
271#538—416no—
272#534—416no—
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2311yescharacteristic
275C2×C4⋊Q8C2311yescharacteristic
276C2×#127C2312yes—
277C2×#127C2312yes—
278C2×#127C2311yescharacteristic
279C2×#127C2311yescharacteristic
280C2×#126C2314yes—
281C2×#126C2314yes—
282C2×#125C2311yescharacteristic
283C2×#125C2311yescharacteristic
284C2×#125C2312yes—
285C2×#124C2314yes—
286C2×#124C2312yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#124C2312yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2314yes—
306C2×#121C2314yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#120C2314yes—
326C2×#120C2314yes—
327C2×#120C2314yes—
328C2×#120C2314yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×#117C2312yes—
357C22×C4⋊C4C2312yes—
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2312yes—
360C22×C22⋊C4C2314yes—
361C22×C22⋊C4C2314yes—
362C22×C22⋊C4C2314yes—
363C22×C22⋊C4C2314yes—
364C22×C22⋊C4C2314yes—
365C22×C22⋊C4C2314yes—
366C22×C22⋊C4C2314yes—
367C22×C42C2312yes—
368C22×C42C2312yes—
369#401C2314yes—
370#400C2311yescharacteristic
371#400C2312yes—
372#400C2314yes—
373#400C2312yes—
374#400C2311yescharacteristic
375#400C2311yescharacteristic
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2311yescharacteristic
382#399C2314yes—
383#399C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2312yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2312yes—
410#397C2312yes—
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#395C2312yes—
425#395C2314yes—
426#395C2312yes—
427#395C2312yes—
428#395C2314yes—
429#395C2312yes—
430#394C2312yes—
431#394C2312yes—
432#394C2311yescharacteristic
433#394C2311yescharacteristic
434#394C2312yes—
435#394C2314yes—
436#394C2312yes—
437#394C2314yes—
438#394C2314yes—
439#394C2312yes—
440#394C2314yes—
441#394C2314yes—
442#394C2312yes—
443#394C2314yes—
444#394C2311yescharacteristic
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2312yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2311yescharacteristic
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2314yes—
474#393C2312yes—
475#393C2312yes—
476#393C2312yes—
477#393C2312yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2314yes—
507#390C2314yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2314yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2314yes—
524#390C2312yes—
525#390C2314yes—
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
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#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2312yes—
588#386C2312yes—
589#386C2312yes—
590#386C2312yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
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#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#384C2311yescharacteristic
640#384C2312yes—
641#384C2312yes—
642#384C2312yes—
643#383C2312yes—
644#383C2312yes—
645#383C2312yes—
646#383C2312yes—
647#382C2312yes—
648#382C2312yes—
649#382C2312yes—
650#382C2312yes—
651#382C2312yes—
652#382C2312yes—
653#382C2314yes—
654#381C2312yes—
655#381C2312yes—
656#381C2312yes—
657#381C2312yes—
658#381C2312yes—
659#381C2314yes—
660#381C2314yes—
661#381C2314yes—
662#381C2314yes—
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2314yes—
672#380C2314yes—
673#380C2312yes—
674#380C2314yes—
675#380C2312yes—
676#380C2314yes—
677#380C2314yes—
678#380C2314yes—
679#380C2312yes—
680#380C2312yes—
681#380C2314yes—
682#380C2312yes—
683#379C2314yes—
684#379C2314yes—
685#379C2314yes—
686#379C2314yes—
687#379C2314yes—
688#379C2314yes—
689C4×C4⋊C4C2311yescharacteristic
690C4×C4⋊C4C2311yescharacteristic
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2311yescharacteristic
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715#376C2311yescharacteristic
716#376C2311yescharacteristic
717#376C2312yes—
718C2×#95C2312yes—
719C43C2311yescharacteristic
720C25C2414yes—
721C25C2414yes—
722C2×#41—48no—
723C2×#41—44no—
724C2×#41—44no—
725C2×#41—44no—
726C2×#41—82no—
727C22×Q8C2411yescharacteristic
728C22×Q8C2411yescharacteristic
729C22×Q8C2412yes—
730C22×Q8C2412yes—
731C22×D4—28no—
732C22×D4—44no—
733C22×D4—44no—
734C22×D4—44no—
735C22×D4—44no—
736C22×D4—44no—
737C22×D4—44no—
738C22×D4—48no—
739C22×D4—48no—
740C22×D4—48no—
741C22×D4—48no—
742C22×D4C2412yes—
743C22×D4C2412yes—
744C22×D4C2411yescharacteristic
745C22×D4C2414yes—
746C22×D4C2411yescharacteristic
747C22×D4C2412yes—
748C22×D4C2411yescharacteristic
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2412yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2414yes—
764C22×D4C2412yes—
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2414yes—
769C23×C4C2412yes—
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2412yes—
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2414yes—
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2414yes—
779C23×C4C2414yes—
780C4⋊Q8—42no—
781C4⋊Q8—42no—
782C4⋊Q8—42no—
783#127—28no—
784#127—44no—
785#127—42no—
786#127—42no—
787#126—48no—
788#126—48no—
789#125—44no—
790#125—42no—
791#125—42no—
792#124—48no—
793#124—48no—
794#124—48no—
795#124—44no—
796#124—82no—
797#123—48no—
798#123—48no—
799#123—48no—
800#123—48no—
801#123—48no—
802#123—48no—
803#123—48no—
804#123—48no—
805#123—48no—
806#123—84no—
807C22⋊Q8—48no—
808C22⋊Q8—44no—
809C22⋊Q8—44no—
810C22⋊Q8—44no—
811C22⋊Q8—44no—
812C22⋊Q8—48no—
813#121—28no—
814#121—216no—
815#121—28no—
816#121—28no—
817#121—48no—
818#121—48no—
819#121—48no—
820#121—48no—
821#121—48no—
822#121—48no—
823#121—48no—
824#121—44no—
825#121—44no—
826#121—44no—
827#121—44no—
828#121—44no—
829#121—48no—
830#121—44no—
831#121—44no—
832#120—216no—
833#120—216no—
834#120—48no—
835#120—48no—
836#120—48no—
837#120—48no—
838#120—48no—
839#120—48no—
840#120—48no—
841#120—48no—
842#120—84no—
843#120—84no—
844C4×Q8—42no—
845C4×Q8—42no—
846C4×D4—28no—
847C4×D4—24no—
848C4×D4—24no—
849C4×D4—24no—
850C4×D4—44no—
851C4×D4—44no—
852C4×D4—44no—
853C4×D4—44no—
854C4×D4—44no—
855C4×D4—44no—
856C4×D4—42no—
857C4×D4—44no—
858C4×D4—42no—
859C4×D4—48no—
860C4×D4—48no—
861C4×D4—48no—
862C4×D4—84no—
863#117—82no—
864C2×C4⋊C4—44no—
865C2×C4⋊C4—44no—
866C2×C4⋊C4—44no—
867C2×C4⋊C4C2411yescharacteristic
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C22⋊C4—48no—
912C2×C22⋊C4—48no—
913C2×C22⋊C4—48no—
914C2×C22⋊C4—48no—
915C2×C22⋊C4—48no—
916C2×C22⋊C4—84no—
917C2×C22⋊C4—84no—
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⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C42—44no—
988C2×C42—44no—
989C2×C42C2412yes—
990C2×C42C2411yescharacteristic
991C2×C42C2411yescharacteristic
992C2×C42C2411yescharacteristic
993C2×C42C2412yes—
994C2×C42C2411yescharacteristic
995C2×C42C2412yes—
996C2×C42C2412yes—
997C2×C42C2412yes—
998C2×C42C2411yescharacteristic
999C2×C42C2412yes—
1000C2×C42C2414yes—
1001C2×C42C2412yes—
1002C2×C42C2414yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008#95C2411yescharacteristic
1009#95C2414yes—
1010#95C2412yes—
1011#95C2411yescharacteristic
1012#95C2412yes—
1013#95C2411yescharacteristic
1014#95C2411yescharacteristic
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2414yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061C24—28no—
1062C24—28no—
1063C24—28no—
1064C24—44no—
1065C24—44no—
1066C24—44no—
1067C24—44no—
1068C24—44no—
1069C24—44no—
1070C24—44no—
1071C24—44no—
1072C24—44no—
1073C24—44no—
1074C24—44no—
1075C24C2514yes—
1076C24C2514yes—
1077C24C2512yes—
1078C24C2512yes—
1079C24C2512yes—
1080#41—816no—
1081#41—816no—
1082C2×Q8—22no—
1083C2×Q8—22no—
1084C2×Q8—41no—
1085C2×Q8—41no—
1086C2×Q8—41no—
1087C2×Q8—44no—
1088C2×Q8—42no—
1089C2×Q8—41no—
1090C2×Q8—42no—
1091C2×Q8—44no—
1092C2×D4—28no—
1093C2×D4—24no—
1094C2×D4—28no—
1095C2×D4—24no—
1096C2×D4—24no—
1097C2×D4—24no—
1098C2×D4—28no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—28no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—42no—
1115C2×D4—41no—
1116C2×D4—44no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—41no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—42no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—816no—
1155C2×D4—816no—
1156C2×D4—832no—
1157C2×D4—816no—
1158C2×D4H(5,𝔽2)14yes—
1159C2×D4H(5,𝔽2)18yes—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—28no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—42no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—42no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2514yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2514yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C4⋊C4—22no—
1228C4⋊C4—24no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—41no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—44no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—41no—
1254C4⋊C4—42no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C22⋊C4—24no—
1272C22⋊C4—28no—
1273C22⋊C4—24no—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—24no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—24no—
1282C22⋊C4—24no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—24no—
1290C22⋊C4—28no—
1291C22⋊C4—24no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—42no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—24no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—24no—
1348C42—22no—
1349C42—42no—
1350C42—42no—
1351C42—42no—
1352C42—42no—
1353C42—41no—
1354C42—42no—
1355C42—44no—
1356C42—44no—
1357C42—42no—
1358C42—42no—
1359C23—24no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—24no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—24no—
1376C23—24no—
1377C23—24no—
1378C23—24no—
1379C23—24no—
1380C23—24no—
1381C23—24no—
1382C23—24no—
1383C23—24no—
1384C23—24no—
1385C23—24no—
1386C23—24no—
1387C23—24no—
1388C23—24no—
1389C23—416no—
1390C23—88no—
1391C23—88no—
1392C23—88no—
1393C23—88no—
1394C23—88no—
1395C23—88no—
1396C23—88no—
1397C23—88no—
1398C23—88no—
1399C23—164no—
1400C23—164no—
1401C23—164no—
1402C23—164no—
1403C23C2×H(5,𝔽2)14yes—
1404C23C2×H(5,𝔽2)14yes—
1405C23C2×H(5,𝔽2)14yes—
1406C23C2611yescharacteristic
1407Q8—44no—
1408Q8—82no—
1409Q8—84no—
1410Q8—162no—
1411D4—28no—
1412D4—48no—
1413D4—48no—
1414D4—44no—
1415D4—416no—
1416D4—44no—
1417D4—48no—
1418D4—48no—
1419D4—84no—
1420D4—88no—
1421D4—88no—
1422D4—88no—
1423D4—88no—
1424D4—88no—
1425D4—88no—
1426D4—88no—
1427D4—88no—
1428D4—88no—
1429D4—84no—
1430D4—162no—
1431D4—164no—
1432D4—162no—
1433D4—164no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—48no—
1497C2×C4—48no—
1498C2×C4—48no—
1499C2×C4—84no—
1500C2×C4—84no—
1501C2×C4—84no—
1502C2×C4—84no—
1503C2×C4—84no—
1504C2×C4—88no—
1505C2×C4—84no—
1506C2×C4—88no—
1507C2×C4—88no—
1508C2×C4—164no—
1509C2×C4—164no—
1510C2×C4—164no—
1511C2×C4C2×H(5,𝔽2)14yes—
1512C2×C4C2×H(5,𝔽2)12yes—
1513C2×C4#58512yes—
1514C2×C4#58514yes—
1515C22—24no—
1516C22—24no—
1517C22—24no—
1518C22—24no—
1519C22—24no—
1520C22—24no—
1521C22—24no—
1522C22—24no—
1523C22—24no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—44no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—44no—
1534C22—44no—
1535C22—44no—
1536C22—44no—
1537C22—44no—
1538C22—44no—
1539C22—44no—
1540C22—44no—
1541C22—44no—
1542C22—44no—
1543C22—44no—
1544C22—44no—
1545C22—44no—
1546C22—44no—
1547C22—44no—
1548C22—1616no—
1549C22—1616no—
1550C22C22×H(5,𝔽2)11yescharacteristic
1551C22C22×H(5,𝔽2)12yes—
1552C22C2×#58512yes—
1553C22C2×#58511yescharacteristic
1554C22H(7,𝔽2)11yescharacteristic
1555C4—24no—
1556C4—22no—
1557C4—42no—
1558C4—42no—
1559C4—42no—
1560C4—42no—
1561C4—41no—
1562C4—44no—
1563C4—41no—
1564C4—42no—
1565C4—41no—
1566C4—42no—
1567C4—42no—
1568C4—44no—
1569C4—42no—
1570C4—42no—
1571C4—41no—
1572C4—41no—
1573C4—42no—
1574C4—42no—
1575C4—42no—
1576C4—44no—
1577C4—44no—
1578C4#354514yes—
1579C2—44no—
1580C2—44no—
1581C2—44no—
1582C2—84no—
1583C2—84no—
1584C2C2×#354511yescharacteristic
1585C2#6282212yes—
1586C2#6291811yescharacteristic
1587C2#6292012yes—
1588C2#6301111yescharacteristic
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. #59808C2semidirect
2. #56285C2semidirect
3. #54414C2semidirect
4. #53488C2semidirect
5. #52986C2semidirect
6. #49550C2semidirect
7. #48482C2semidirect
8. #48392C2semidirect
9. #47170C2semidirect
10. #46413C2semidirect
11. #46345C2semidirect
12. #45688C2semidirect
13. #45378C2semidirect
14. #44936C2semidirect
15. #43017C2semidirect
16. #42537C2semidirect
17. #42482C2semidirect
18. #42011C2semidirect
19. #40044C2semidirect
20. #39358C2semidirect
21. #38952C2semidirect
22. #38056C2semidirect
23. #38056C2semidirect
24. #37292C2semidirect
25. #36291C2semidirect
26. #35903C2semidirect
27. #35549C2semidirect
28. #35007C2semidirect
29. #34943C2semidirect
30. C2×#554C22semidirect
33. C2×#546C22semidirect
35. C2×D42C22semidirect
36. C2×#538C22semidirect
37. C2×#534C22semidirect
38. #2860C22semidirect
39. #2858C22semidirect
41. #2854C22semidirect
42. #2854C22semidirect
43. #2851C22semidirect
44. #2838C22semidirect
45. #2836C22semidirect
46. #2832C22semidirect
47. #2828C22semidirect
48. #2828C22semidirect
49. #2817C22semidirect
50. #2812C22semidirect
51. #2795C22semidirect
52. #2790C22semidirect
53. #2784C22semidirect
54. #2781C22semidirect
55. #2778C22semidirect
56. #2778C22semidirect
57. #2761C22semidirect
58. #2757C22semidirect
59. #2756C22semidirect
60. #2756C22semidirect
61. #2753C22semidirect
62. #2753C22semidirect
63. #2751C22semidirect
64. #2750C22semidirect
65. #2749C22semidirect
66. #2749C22semidirect
67. #2743C22semidirect
68. #2737C22semidirect
69. #2735C22semidirect
70. #2731C22semidirect
71. #2723C22semidirect
72. #2723C22semidirect
73. #2718C22semidirect
74. #2717C22semidirect
75. #2708C22semidirect
76. #2706C22semidirect
77. #2706C22semidirect
78. #2706C22semidirect
79. #2701C22semidirect
80. #2691C22semidirect
81. #2688C22semidirect
82. #2688C22semidirect
83. #2687C22semidirect
84. #2686C22semidirect
85. #2686C22semidirect
86. #2682C22semidirect
87. #2681C22semidirect
88. #2680C22semidirect
89. #2680C22semidirect
90. #2679C22semidirect
91. #2679C22semidirect
92. #2679C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2672C22semidirect
97. #2672C22semidirect
98. #2672C22semidirect
99. #2672C22semidirect
100. #2671C22semidirect
101. #2670C22semidirect
102. #2668C22semidirect
103. #2668C22semidirect
104. #2668C22semidirect
105. #2662C22semidirect
106. #2661C22semidirect
107. #2660C22semidirect
108. #2653C22semidirect
109. #2649C22semidirect
110. #2644C22semidirect
112. #2641C22semidirect
113. #2639C22semidirect
114. #2638C22semidirect
115. #2627C22semidirect
116. #2620C22semidirect
117. #2617C22semidirect
118. #2616C22semidirect
119. #2595C22semidirect
120. #2591C22semidirect
121. #2580C22semidirect
122. #2576C22semidirect
123. #2572C22semidirect
124. #2572C22semidirect
125. #2572C22semidirect
126. #2571C22semidirect
127. #2567C22semidirect
128. #2567C22semidirect
129. #2563C22semidirect
130. #2562C22semidirect
131. #2562C22semidirect
132. #2555C22semidirect
133. #2555C22semidirect
134. #2554C22semidirect
135. #2553C22semidirect
137. #2548C22semidirect
139. #2537C22semidirect
140. #2535C22semidirect
141. #2534C22semidirect
142. #2534C22semidirect
143. #2534C22semidirect
144. #2518C22semidirect
145. #2516C22semidirect
146. #2513C22semidirect
147. #2513C22semidirect
148. #2512C22semidirect
149. #2510C22semidirect
150. #2508C22semidirect
151. #2501C22semidirect
152. #2495C22semidirect
153. #2495C22semidirect
154. #2494C22semidirect
155. #2491C22semidirect
156. #2491C22semidirect
157. #2490C22semidirect
158. #2490C22semidirect
159. #2490C22semidirect
160. #2487C22semidirect
161. #2486C22semidirect
162. #2480C22semidirect
163. #2472C22semidirect
164. #2472C22semidirect
165. #2472C22semidirect
166. #2472C22semidirect
167. #2471C22semidirect
168. #2467C22semidirect
169. #2467C22semidirect
170. #2464C22semidirect
171. #2459C22semidirect
172. #2457C22semidirect
173. #2456C22semidirect
174. #2454C22semidirect
175. #2454C22semidirect
176. #2454C22semidirect
177. #2452C22semidirect
179. #2445C22semidirect
180. #2445C22semidirect
181. #2445C22semidirect
182. #2442C22semidirect
183. #2442C22semidirect
184. #2440C22semidirect
185. #2435C22semidirect
188. #2433C22semidirect
189. #2432C22semidirect
191. #2428C22semidirect
192. #2425C22semidirect
193. #2424C22semidirect
194. #2422C22semidirect
195. #2422C22semidirect
196. #2422C22semidirect
197. #2420C22semidirect
198. #2420C22semidirect
199. #2420C22semidirect
200. #2420C22semidirect
201. #2420C22semidirect
202. #2418C22semidirect
203. #2418C22semidirect
204. #2418C22semidirect
205. #2418C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2412C22semidirect
210. #2412C22semidirect
211. #2412C22semidirect
212. #2412C22semidirect
213. #2410C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2410C22semidirect
218. #2408C22semidirect
219. #2408C22semidirect
220. #2406C22semidirect
221. #2405C22semidirect
222. #2404C22semidirect
223. #2404C22semidirect
224. #2404C22semidirect
225. #2398C22semidirect
226. #2398C22semidirect
227. #2398C22semidirect
228. C2×#394C22semidirect
229. #2379C22semidirect
230. #2377C22semidirect
231. #2361C22semidirect
232. #2361C22semidirect
233. #2358C22semidirect
234. #2345C22semidirect
235. #2342C22semidirect
236. D4×C22⋊C4C22semidirect
237. D4×C22⋊C4C22semidirect
238. D4×C22⋊C4C22semidirect
239. #2330C22semidirect
240. #2328C22semidirect
241. #2328C22semidirect
242. #2321C22semidirect
243. #2321C22semidirect
244. #2319C22semidirect
245. #2319C22semidirect
246. #2311C22semidirect
247. C4×C4⋊Q8C22semidirect
248. C4×#121C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. #2293C22semidirect
253. C2×#390C22semidirect
254. C2×#390C22semidirect
255. #2283C22semidirect
256. #2283C22semidirect
257. #2275C22semidirect
258. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598082
#562852
#544142
#534882
#529862
#495502
#484822
#483922
#471702
#464132
#463452
#456882
#453782
#449362
#430172
#425372
#424822
#420112
#400442
#393582
#389522
#380562
#372922
#362912
#359032
#355492
#350072
#349432