Finite Group Databasebeta

← #9122738

Subgroups — #9122738

Order 512.

5693 conjugacy classes of subgroups.

The subgroup lattice has 1562 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59416C213yesmaximal, complemented
2#58991C213yesmaximal, complemented
3#57220C213yesmaximal, complemented
4#55553C213yesmaximal, complemented
5#54182C213yesmaximal, complemented
6#51440C213yesmaximal, complemented
7#48689C213yesmaximal, complemented
8#48574C213yesmaximal, complemented
9#48535C213yesmaximal, complemented
10#47884C213yesmaximal, complemented
11#47844C213yesmaximal, complemented
12#47662C213yesmaximal, complemented
13#47006C213yesmaximal, complemented
14#45404C213yesmaximal, complemented
15#44367C213yesmaximal, complemented
16#44226C213yesmaximal, complemented
17#43424C213yesmaximal, complemented
18#40521C213yesmaximal, complemented
19#40433C213yesmaximal, complemented
20#37833C213yesmaximal, complemented
21#35918C211yesmaximal, characteristic, complemented
22#35481C211yesmaximal, characteristic, complemented
23#35369C211yesmaximal, characteristic, complemented
24C2×#556C2213yescomplemented
25C2×#551C2213yescomplemented
26C2×#546C2213yes—
27C2×#546C2213yescomplemented
28C2×#538C2213yescomplemented
29C22×#120C2213yes—
30#2860C2211yescharacteristic, complemented
31#2846C2211yescharacteristic
32#2829C2213yescomplemented
33#2818C2211yescharacteristic, complemented
34#2814C2213yescomplemented
35#2813C2213yescomplemented
36#2812C2213yescomplemented
37#2800C2213yescomplemented
38#2786C2213yescomplemented
39#2783C2213yescomplemented
40#2780C2213yescomplemented
41#2779C2213yescomplemented
42#2771C2213yescomplemented
43#2768C2213yescomplemented
44#2761C2213yescomplemented
45#2761C2213yescomplemented
46#2754C2213yescomplemented
47#2753C2213yescomplemented
48#2753C2213yescomplemented
49#2748C2213yescomplemented
50#2748C2213yescomplemented
51#2747C2213yescomplemented
52#2738C2213yescomplemented
53#2732C2213yescomplemented
54#2730C2213yescomplemented
55#2727C2213yescomplemented
56#2723C2213yescomplemented
57#2722C2213yescomplemented
58#2715C2213yescomplemented
59#2714C2213yescomplemented
60#2714C2213yescomplemented
61#2714C2213yescomplemented
62#2714C2213yescomplemented
63#2712C2213yescomplemented
64#2710C2213yescomplemented
65#2706C2213yescomplemented
66#2706C2213yescomplemented
67#2705C2213yescomplemented
68#2705C2213yescomplemented
69#2705C2213yescomplemented
70#2705C2213yescomplemented
71#2705C2213yescomplemented
72#2702C2213yescomplemented
73#2701C2213yescomplemented
74#2697C2213yescomplemented
75#2696C2213yescomplemented
76#2695C2213yescomplemented
77#2691C2213yescomplemented
78#2691C2213yescomplemented
79#2688C2213yescomplemented
80#2687C2213yescomplemented
81#2687C2213yescomplemented
82#2685C2213yes—
83#2685C2213yes—
84#2685C2213yescomplemented
85#2685C2213yescomplemented
86#2685C2213yescomplemented
87#2685C2213yescomplemented
88#2685C2213yescomplemented
89#2685C2213yescomplemented
90#2682C2213yescomplemented
91#2682C2213yescomplemented
92#2678C2213yes—
93#2678C2213yes—
94#2678C2213yes—
95#2678C2213yescomplemented
96#2678C2213yescomplemented
97#2675C2211yescharacteristic, complemented
98#2674C2213yescomplemented
99#2671C2213yescomplemented
100#2671C2213yescomplemented
101#2670C2213yes—
102#2670C2213yes—
103#2670C2213yescomplemented
104#2670C2213yescomplemented
105#2669C2213yescomplemented
106#2668C2213yes—
107#2667C2213yescomplemented
108#2661C2213yescomplemented
109#2649C2213yescomplemented
110#2648C2213yescomplemented
111#2643C2211yescharacteristic, complemented
112#2636C2213yescomplemented
113#2635C2213yescomplemented
114#2626C2213yescomplemented
115#2617C2213yescomplemented
116#2615C2213yescomplemented
117#2613C2213yescomplemented
118#2609C2213yescomplemented
119#2602C2213yescomplemented
120#2601C2213yescomplemented
121#2601C2213yescomplemented
122#2600C2213yescomplemented
123#2589C2213yescomplemented
124#2587C2213yescomplemented
125#2580C2213yescomplemented
126#2580C2213yescomplemented
127#2576C2213yescomplemented
128#2576C2213yescomplemented
129#2559C2213yescomplemented
130#2559C2213yescomplemented
131#2559C2213yescomplemented
132#2557C2213yescomplemented
133#2555C2213yescomplemented
134#2554C2213yescomplemented
135#2553C2213yescomplemented
136#2553C2213yescomplemented
137#2553C2213yescomplemented
138#2553C2213yescomplemented
139#2539C2213yescomplemented
140#2539C2213yescomplemented
141#2539C2213yescomplemented
142#2536C2213yescomplemented
143#2534C2213yescomplemented
144#2518C2213yescomplemented
145#2491C2213yescomplemented
146#2485C2213yescomplemented
147#2482C2213yescomplemented
148#2480C2213yescomplemented
149#2480C2213yescomplemented
150#2480C2213yescomplemented
151#2480C2213yescomplemented
152#2480C2213yescomplemented
153#2480C2213yescomplemented
154#2480C2213yescomplemented
155#2480C2213yescomplemented
156#2480C2213yescomplemented
157#2480C2213yescomplemented
158#2479C2213yescomplemented
159#2478C2213yescomplemented
160#2476C2213yescomplemented
161#2476C2213yescomplemented
162#2472C2213yes—
163#2472C2213yescomplemented
164#2472C2213yescomplemented
165#2472C2213yescomplemented
166#2472C2213yescomplemented
167#2468C2213yescomplemented
168#2467C2213yescomplemented
169#2466C2213yescomplemented
170#2465C2213yescomplemented
171#2464C2213yescomplemented
172#2464C2213yescomplemented
173#2464C2213yescomplemented
174#2463C2213yescomplemented
175#2459C2213yescomplemented
176#2458C2213yescomplemented
177#2458C2213yescomplemented
178#2458C2213yescomplemented
179#2456C2213yescomplemented
180#2455C2213yescomplemented
181#2452C2213yescomplemented
182#2448C2213yescomplemented
183#2439C2213yescomplemented
184#2437C2213yescomplemented
185#2435C2213yescomplemented
186#2432C2213yescomplemented
187#2429C2213yescomplemented
188#2428C2213yescomplemented
189#2427C2213yescomplemented
190#2426C2213yescomplemented
191#2426C2213yescomplemented
192#2425C2213yescomplemented
193#2424C2213yescomplemented
194#2424C2213yescomplemented
195#2424C2213yescomplemented
196#2424C2213yescomplemented
197#2421C2213yescomplemented
198#2420C2213yescomplemented
199#2418C2213yes—
200#2418C2213yescomplemented
201#2414C2213yescomplemented
202#2412C2213yes—
203#2412C2213yescomplemented
204#2411C2213yescomplemented
205#2411C2213yescomplemented
206#2411C2213yescomplemented
207#2410C2213yes—
208#2410C2213yes—
209#2410C2213yescomplemented
210#2410C2213yescomplemented
211#2410C2213yescomplemented
212#2408C2213yes—
213#2408C2213yescomplemented
214#2408C2213yescomplemented
215#2407C2213yescomplemented
216#2405C2213yescomplemented
217#2404C2213yescomplemented
218#2403C2213yescomplemented
219#2392C2213yescomplemented
220#2392C2213yescomplemented
221#2377C2213yescomplemented
222#2376C2213yescomplemented
223#2367C2213yescomplemented
224#2364C2213yescomplemented
225#2363C2213yescomplemented
226#2358C2213yes—
227#2358C2213yescomplemented
228#2342C2213yescomplemented
229#2342C2213yescomplemented
230#2341C2213yescomplemented
231D4×C22⋊C4C2213yescomplemented
232D4×C22⋊C4C2213yescomplemented
233#2335C2213yescomplemented
234#2334C2213yescomplemented
235#2333C2213yescomplemented
236#2324C2213yescomplemented
237#2323C2213yescomplemented
238#2321C2213yescomplemented
239#2315C2213yescomplemented
240#2309C2213yescomplemented
241C4×#124C2213yescomplemented
242C4×#124C2213yescomplemented
243C2×#379C2213yes—
244#2273C2211yescharacteristic, complemented
245C26C2311yescharacteristic
246C22×#41C2313yes—
247C23×D4C2313yes—
248C23×D4C2313yes—
249C23×D4C2313yes—
250#556—412no—
251#551—412no—
252#546—412no—
253#546—412no—
254#538—412no—
255C2×C4⋊Q8C2313yescomplemented
256C2×#127C2311yescharacteristic, complemented
257C2×#126C2313yes—
258C2×#126C2313yes—
259C2×#126C2313yes—
260C2×#126C2313yes—
261C2×#126C2311yescharacteristic
262C2×#126C2311yescharacteristic
263C2×#126C2313yescomplemented
264C2×#126C2313yescomplemented
265C2×#126C2313yescomplemented
266C2×#126C2311yescharacteristic, complemented
267C2×#126C2313yescomplemented
268C2×#124C2313yes—
269C2×#124C2313yes—
270C2×#124C2313yes—
271C2×#124C2313yes—
272C2×#124C2313yes—
273C2×#124C2313yescomplemented
274C2×#123C2313yes—
275C2×#123C2313yes—
276C2×#123C2313yes—
277C2×#123C2313yes—
278C2×#123C2313yes—
279C2×#123C2313yes—
280C2×#123C2313yes—
281C2×#123C2313yes—
282C2×#123C2313yes—
283C2×#123C2313yescomplemented
284C2×#123C2313yescomplemented
285C2×C22⋊Q8C2313yes—
286C2×C22⋊Q8C2313yes—
287C2×C22⋊Q8C2313yes—
288C2×C22⋊Q8C2313yes—
289C2×C22⋊Q8C2313yescomplemented
290C2×C22⋊Q8C2313yescomplemented
291C2×#121C2313yes—
292C2×#121C2313yes—
293C2×#121C2313yes—
294C2×#121C2313yes—
295C2×#121C2313yes—
296C2×#121C2313yes—
297C2×#121C2313yes—
298C2×#121C2313yes—
299C2×#121C2313yes—
300C2×#121C2313yes—
301C2×#121C2313yes—
302C2×#121C2313yes—
303C2×#121C2313yes—
304C2×#121C2313yescomplemented
305C2×#121C2313yescomplemented
306C2×#120—412no—
307C2×#120C2313yes—
308C2×#120C2313yes—
309C2×#120C2313yes—
310C2×#120C2313yes—
311C2×#120C2313yes—
312C2×#120C2313yes—
313C2×#120C2313yes—
314C2×#120C2313yes—
315C2×#120C2313yes—
316C2×#120C2313yes—
317C2×#120C2313yes—
318C2×#120C2313yes—
319C2×#120C2313yes—
320C2×#120C2313yes—
321C2×#120C2311yescharacteristic
322C2×#120C2313yes—
323C2×C4×Q8C2313yescomplemented
324C2×C4×Q8C2313yescomplemented
325C2×C4×Q8C2313yescomplemented
326C2×C4×D4C2313yes—
327C2×C4×D4C2313yes—
328C2×C4×D4C2313yes—
329C2×C4×D4C2313yes—
330C2×C4×D4C2313yes—
331C2×C4×D4C2313yes—
332C2×C4×D4C2313yes—
333C2×C4×D4C2313yes—
334C2×C4×D4C2313yescomplemented
335C2×C4×D4C2313yescomplemented
336C2×#117C2313yes—
337C2×#117C2313yes—
338C2×#117C2313yes—
339C2×#117C2313yescomplemented
340C22×C22⋊C4C2313yes—
341C22×C22⋊C4C2313yes—
342C22×C22⋊C4C2313yes—
343C22×C22⋊C4C2313yes—
344C22×C22⋊C4C2313yes—
345C22×C22⋊C4C2313yes—
346C22×C22⋊C4C2313yes—
347C22×C22⋊C4C2313yes—
348C22×C22⋊C4C2313yes—
349C22×C22⋊C4C2313yes—
350C22×C22⋊C4C2313yes—
351#401C2311yescharacteristic, complemented
352#400C2313yescomplemented
353#400C2313yescomplemented
354#400C2313yescomplemented
355#400C2313yescomplemented
356#400C2313yescomplemented
357#399C2313yes—
358#399C2313yes—
359#399C2313yes—
360#399C2313yes—
361#399C2313yes—
362#399C2313yes—
363#399C2313yescomplemented
364#399C2313yescomplemented
365#399C2313yescomplemented
366#399C2313yescomplemented
367#398C2313yescomplemented
368#398C2313yescomplemented
369#398C2313yescomplemented
370#398C2313yescomplemented
371#398C2313yescomplemented
372#398C2313yescomplemented
373#398C2313yescomplemented
374#398C2313yescomplemented
375#398C2313yescomplemented
376#398C2313yescomplemented
377#398C2313yescomplemented
378#397C2313yes—
379#397C2313yes—
380#397C2313yes—
381#397C2313yes—
382#397C2313yes—
383#397C2313yes—
384#397C2313yes—
385#397C2313yes—
386#397C2313yes—
387#397C2313yes—
388#397C2313yes—
389#397C2313yes—
390#397C2313yes—
391#397C2313yes—
392#397C2313yescomplemented
393#397C2313yescomplemented
394#397C2313yescomplemented
395#397C2313yescomplemented
396#397C2313yescomplemented
397#397C2313yescomplemented
398#396C2313yes—
399#396C2313yes—
400#396C2313yes—
401#396C2313yes—
402#396C2313yes—
403#396C2313yes—
404#396C2313yes—
405#396C2313yes—
406#396C2311yescharacteristic
407#396C2313yes—
408#396C2313yes—
409#396C2311yescharacteristic
410#396C2313yescomplemented
411#396C2313yescomplemented
412#396C2313yescomplemented
413#396C2313yescomplemented
414#396C2313yescomplemented
415#396C2311yescharacteristic, complemented
416#396C2313yescomplemented
417#396C2313yescomplemented
418#396C2313yescomplemented
419#395C2313yescomplemented
420#394C2313yes—
421#394C2313yes—
422#394C2313yes—
423#394C2313yes—
424#394C2313yes—
425#394C2313yes—
426#394C2313yes—
427#394C2313yes—
428#394C2313yes—
429#394C2313yes—
430#394C2313yes—
431#394C2313yes—
432#394C2313yes—
433#394C2313yes—
434#394C2313yes—
435#394C2313yes—
436#394C2313yes—
437#394C2313yes—
438#394C2313yes—
439#394C2313yes—
440#394C2313yes—
441#394C2313yes—
442#394C2313yes—
443#394C2313yes—
444#394C2313yes—
445#394C2313yes—
446#394C2313yes—
447#394C2313yes—
448#394C2313yes—
449#394C2313yes—
450#394C2313yescomplemented
451#394C2313yescomplemented
452#394C2313yescomplemented
453#394C2313yescomplemented
454#394C2313yescomplemented
455#394C2313yescomplemented
456#394C2313yescomplemented
457#394C2313yescomplemented
458#394C2313yescomplemented
459#394C2313yescomplemented
460#394C2313yescomplemented
461#394C2313yescomplemented
462#394C2313yescomplemented
463#394C2313yescomplemented
464#393C2313yes—
465#393C2313yes—
466#393C2313yes—
467#393C2313yes—
468#393C2313yescomplemented
469#393C2313yescomplemented
470#393C2313yescomplemented
471#392C2313yes—
472#392C2313yes—
473#392C2313yes—
474#392C2313yes—
475#392C2313yes—
476#392C2313yes—
477#392C2313yes—
478#392C2313yes—
479#392C2313yes—
480#392C2313yes—
481#392C2313yes—
482#392C2313yes—
483#392C2313yes—
484#392C2313yes—
485#392C2313yes—
486#392C2313yes—
487#392C2313yes—
488#392C2313yes—
489#392C2313yescomplemented
490#392C2313yescomplemented
491#392C2313yescomplemented
492#392C2311yescharacteristic, complemented
493#391C2313yescomplemented
494#391C2313yescomplemented
495#391C2313yescomplemented
496#391C2313yescomplemented
497#390C2313yes—
498#390C2313yes—
499#390C2313yes—
500#390C2313yes—
501#390C2313yes—
502#390C2313yes—
503#390C2313yes—
504#390C2313yes—
505#390C2313yes—
506#390C2313yes—
507#390C2313yes—
508#390C2313yes—
509#390C2313yes—
510#390C2313yes—
511#390C2313yes—
512#390C2313yes—
513#390C2313yes—
514#390C2313yes—
515#390C2313yes—
516#390C2313yes—
517#390C2313yes—
518#390C2313yes—
519#390C2313yes—
520#390C2313yes—
521#390C2313yescomplemented
522#390C2313yescomplemented
523#390C2313yescomplemented
524#390C2313yescomplemented
525#390C2313yescomplemented
526#389C2313yescomplemented
527#389C2313yescomplemented
528#389C2313yescomplemented
529#389C2313yescomplemented
530#389C2313yescomplemented
531#389C2313yescomplemented
532#389C2313yescomplemented
533#389C2313yescomplemented
534#389C2313yescomplemented
535#389C2313yescomplemented
536#389C2313yescomplemented
537#389C2313yescomplemented
538#389C2313yescomplemented
539#388C2313yes—
540#388C2313yes—
541#388C2313yes—
542#388C2313yes—
543#388C2313yes—
544#388C2313yes—
545#388C2313yes—
546#388C2313yes—
547#388C2313yes—
548#388C2313yes—
549#388C2313yes—
550#388C2313yes—
551#388C2313yes—
552#388C2313yes—
553#388C2313yes—
554#388C2313yes—
555#388C2313yes—
556#388C2313yes—
557#388C2313yes—
558#388C2313yes—
559#388C2313yes—
560#388C2313yes—
561#388C2313yes—
562#388C2313yes—
563#388C2313yes—
564#388C2313yes—
565#388C2313yes—
566#388C2313yes—
567#388C2313yescomplemented
568#388C2313yescomplemented
569#388C2313yescomplemented
570#388C2313yescomplemented
571#388C2313yescomplemented
572#388C2313yescomplemented
573#388C2313yescomplemented
574#388C2313yescomplemented
575#388C2313yescomplemented
576#388C2313yescomplemented
577#388C2313yescomplemented
578#388C2313yescomplemented
579#388C2313yescomplemented
580#388C2313yescomplemented
581#388C2313yescomplemented
582#388C2313yescomplemented
583#388C2313yescomplemented
584#388C2313yescomplemented
585#388C2313yescomplemented
586#388C2313yescomplemented
587#388C2313yescomplemented
588#387C2313yescomplemented
589#387C2313yescomplemented
590#387C2313yescomplemented
591#387C2313yescomplemented
592#387C2313yescomplemented
593#387C2313yescomplemented
594#387C2313yescomplemented
595#387C2313yescomplemented
596#387C2313yescomplemented
597#387C2313yescomplemented
598#387C2313yescomplemented
599#387C2313yescomplemented
600#387C2313yescomplemented
601#387C2313yescomplemented
602#387C2313yescomplemented
603#387C2313yescomplemented
604#387C2313yescomplemented
605#386C2313yes—
606#386C2313yes—
607#386C2313yes—
608#386C2313yes—
609#386C2313yes—
610#386C2313yes—
611#386C2313yes—
612#386C2313yes—
613#386C2313yes—
614#386C2313yes—
615#386C2313yes—
616#386C2313yes—
617#386C2313yes—
618#386C2313yes—
619#386C2313yes—
620#386C2313yes—
621#386C2313yes—
622#386C2313yes—
623#386C2313yes—
624#386C2313yes—
625#386C2313yes—
626#386C2313yes—
627#386C2313yes—
628#386C2313yes—
629#386C2313yes—
630#386C2313yes—
631#386C2313yes—
632#386C2313yescomplemented
633#386C2313yescomplemented
634#386C2313yescomplemented
635#386C2313yescomplemented
636#386C2313yescomplemented
637#386C2313yescomplemented
638#385C2313yes—
639#385C2313yes—
640#385C2313yes—
641#385C2313yes—
642#385C2313yes—
643#385C2313yes—
644#385C2313yes—
645#385C2313yes—
646#385C2313yes—
647#385C2313yes—
648#385C2313yes—
649#385C2313yes—
650#385C2313yes—
651#385C2313yes—
652#385C2313yes—
653#385C2313yes—
654#385C2313yes—
655#385C2313yes—
656#385C2313yes—
657#385C2313yescomplemented
658#385C2313yescomplemented
659#385C2313yescomplemented
660#385C2313yescomplemented
661#385C2313yescomplemented
662#385C2313yescomplemented
663#385C2313yescomplemented
664#385C2313yescomplemented
665#383C2311yescharacteristic, complemented
666#382C2313yescomplemented
667#382C2313yescomplemented
668#382C2313yescomplemented
669#382C2313yescomplemented
670#381C2313yes—
671#381C2313yes—
672#381C2313yescomplemented
673#381C2313yescomplemented
674#380C2313yes—
675#380C2313yes—
676#380C2313yes—
677#380C2313yes—
678#380C2313yes—
679#380C2313yes—
680#380C2313yes—
681#380C2313yes—
682#380C2313yes—
683#380C2313yescomplemented
684#380C2313yescomplemented
685#380C2313yescomplemented
686#380C2313yescomplemented
687#380C2313yescomplemented
688#379C2313yes—
689#379C2313yes—
690#379C2313yes—
691#379C2313yes—
692#379C2313yes—
693#379C2311yescharacteristic
694#379C2313yes—
695#379C2313yes—
696#379C2313yes—
697#379C2313yes—
698#379C2313yes—
699#379C2313yes—
700#379C2313yes—
701#379C2313yes—
702#379C2313yes—
703#379C2313yes—
704C4×C4⋊C4C2313yescomplemented
705C4×C4⋊C4C2313yescomplemented
706C4×C4⋊C4C2313yescomplemented
707C4×C22⋊C4C2313yes—
708C4×C22⋊C4C2313yes—
709C4×C22⋊C4C2313yes—
710C4×C22⋊C4C2313yes—
711C4×C22⋊C4C2313yes—
712C4×C22⋊C4C2313yes—
713C4×C22⋊C4C2313yes—
714C4×C22⋊C4C2313yes—
715C4×C22⋊C4C2313yes—
716C4×C22⋊C4C2313yes—
717C4×C22⋊C4C2313yescomplemented
718C4×C22⋊C4C2313yescomplemented
719C4×C22⋊C4C2313yescomplemented
720C4×C22⋊C4C2313yescomplemented
721C4×C22⋊C4C2313yescomplemented
722C4×C22⋊C4C2313yescomplemented
723C4×C22⋊C4C2313yescomplemented
724C2×#95C2311yescharacteristic, complemented
725C43C2311yescharacteristic, complemented
726C25—46no—
727C25—46no—
728C25—81no—
729C25C2411yescharacteristic
730C25C2413yes—
731C25C2413yes—
732C25C2413yes—
733C2×#41—46no—
734C2×#41—46no—
735C2×#41—46no—
736C22×Q8C2413yes—
737C22×Q8C2413yes—
738C22×D4—46no—
739C22×D4—46no—
740C22×D4—46no—
741C22×D4—46no—
742C22×D4—46no—
743C22×D4—46no—
744C22×D4—46no—
745C22×D4—46no—
746C22×D4—83no—
747C22×D4C2413yes—
748C22×D4C2413yes—
749C22×D4C2413yes—
750C22×D4C2413yes—
751C22×D4C2413yes—
752C22×D4C2413yes—
753C22×D4C2413yes—
754C22×D4C2413yes—
755C22×D4C2413yes—
756C22×D4C2413yes—
757C22×D4C2413yes—
758C22×D4C2413yes—
759C22×D4C2413yes—
760C22×D4C2413yes—
761C22×D4C2413yes—
762C22×D4C2411yescharacteristic
763C22×D4C2413yes—
764C22×D4C2413yes—
765C22×D4C2413yes—
766C22×D4C2413yes—
767C22×D4C2413yes—
768C23×C4C2413yes—
769C23×C4C2413yes—
770C23×C4C2413yes—
771C23×C4C2413yes—
772C23×C4C2413yes—
773C23×C4C2413yes—
774C23×C4C2413yes—
775C23×C4C2413yes—
776C23×C4C2413yes—
777C23×C4C2413yes—
778C23×C4C2413yes—
779C23×C4C2413yes—
780C4⋊Q8—46no—
781#127—81no—
782#126—212no—
783#126—46no—
784#126—46no—
785#126—46no—
786#126—46no—
787#126—46no—
788#126—46no—
789#126—81no—
790#126—81no—
791#126—83no—
792#126—81no—
793#124—212no—
794#124—212no—
795#124—46no—
796#124—46no—
797#124—46no—
798#124—46no—
799#123—212no—
800#123—46no—
801#123—46no—
802#123—46no—
803#123—46no—
804#123—46no—
805#123—46no—
806#123—46no—
807#123—46no—
808#123—83no—
809#123—83no—
810C22⋊Q8—212no—
811C22⋊Q8—46no—
812C22⋊Q8—46no—
813C22⋊Q8—46no—
814C22⋊Q8—46no—
815C22⋊Q8—46no—
816#121—46no—
817#121—46no—
818#121—46no—
819#121—46no—
820#121—46no—
821#121—46no—
822#121—46no—
823#121—46no—
824#121—46no—
825#121—46no—
826#121—46no—
827#121—46no—
828#121—46no—
829#121—46no—
830#121—83no—
831#120—212no—
832#120—212no—
833#120—46no—
834#120—46no—
835#120—46no—
836#120—46no—
837#120—46no—
838#120—46no—
839#120—46no—
840#120—46no—
841#120—46no—
842#120—46no—
843#120—46no—
844#120—46no—
845#120—83no—
846#120—81no—
847C4×Q8—46no—
848C4×Q8—46no—
849C4×Q8—46no—
850C4×D4—46no—
851C4×D4—46no—
852C4×D4—46no—
853C4×D4—46no—
854C4×D4—46no—
855C4×D4—46no—
856C4×D4—46no—
857C4×D4—46no—
858C4×D4—46no—
859C4×D4—83no—
860#117—46no—
861#117—46no—
862#117—46no—
863#117—46no—
864C2×C4⋊C4C2413yes—
865C2×C4⋊C4C2413yes—
866C2×C4⋊C4C2413yes—
867C2×C4⋊C4C2413yes—
868C2×C4⋊C4C2413yes—
869C2×C4⋊C4C2413yes—
870C2×C4⋊C4C2413yes—
871C2×C4⋊C4C2413yes—
872C2×C4⋊C4C2413yes—
873C2×C4⋊C4C2413yes—
874C2×C4⋊C4C2413yes—
875C2×C4⋊C4C2413yes—
876C2×C4⋊C4C2413yes—
877C2×C4⋊C4C2413yes—
878C2×C4⋊C4C2413yes—
879C2×C4⋊C4C2413yes—
880C2×C4⋊C4C2413yes—
881C2×C4⋊C4C2413yes—
882C2×C4⋊C4C2413yes—
883C2×C4⋊C4C2413yes—
884C2×C4⋊C4C2413yes—
885C2×C4⋊C4C2413yes—
886C2×C4⋊C4C2413yes—
887C2×C4⋊C4C2413yes—
888C2×C4⋊C4C2413yes—
889C2×C4⋊C4C2413yes—
890C2×C4⋊C4C2413yes—
891C2×C4⋊C4C2413yes—
892C2×C4⋊C4C2413yes—
893C2×C4⋊C4C2413yes—
894C2×C4⋊C4C2413yes—
895C2×C4⋊C4C2413yes—
896C2×C4⋊C4C2413yes—
897C2×C4⋊C4C2413yes—
898C2×C4⋊C4C2413yes—
899C2×C4⋊C4C2413yes—
900C2×C4⋊C4C2413yes—
901C2×C4⋊C4C2413yes—
902C2×C4⋊C4C2413yes—
903C2×C22⋊C4—212no—
904C2×C22⋊C4—212no—
905C2×C22⋊C4—46no—
906C2×C22⋊C4—46no—
907C2×C22⋊C4—46no—
908C2×C22⋊C4—46no—
909C2×C22⋊C4—46no—
910C2×C22⋊C4—46no—
911C2×C22⋊C4—46no—
912C2×C22⋊C4—46no—
913C2×C22⋊C4—83no—
914C2×C22⋊C4C2413yes—
915C2×C22⋊C4C2413yes—
916C2×C22⋊C4C2413yes—
917C2×C22⋊C4C2413yes—
918C2×C22⋊C4C2413yes—
919C2×C22⋊C4C2413yes—
920C2×C22⋊C4C2413yes—
921C2×C22⋊C4C2413yes—
922C2×C22⋊C4C2413yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2413yes—
925C2×C22⋊C4C2413yes—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2413yes—
929C2×C22⋊C4C2413yes—
930C2×C22⋊C4C2413yes—
931C2×C22⋊C4C2413yes—
932C2×C22⋊C4C2413yes—
933C2×C22⋊C4C2413yes—
934C2×C22⋊C4C2413yes—
935C2×C22⋊C4C2413yes—
936C2×C22⋊C4C2413yes—
937C2×C22⋊C4C2413yes—
938C2×C22⋊C4C2413yes—
939C2×C22⋊C4C2413yes—
940C2×C22⋊C4C2413yes—
941C2×C22⋊C4C2413yes—
942C2×C22⋊C4C2413yes—
943C2×C22⋊C4C2413yes—
944C2×C22⋊C4C2413yes—
945C2×C22⋊C4C2413yes—
946C2×C22⋊C4C2413yes—
947C2×C22⋊C4C2413yes—
948C2×C22⋊C4C2413yes—
949C2×C22⋊C4C2413yes—
950C2×C22⋊C4C2413yes—
951C2×C22⋊C4C2413yes—
952C2×C22⋊C4C2413yes—
953C2×C22⋊C4C2413yes—
954C2×C22⋊C4C2413yes—
955C2×C22⋊C4C2413yes—
956C2×C22⋊C4C2413yes—
957C2×C22⋊C4C2413yes—
958C2×C22⋊C4C2413yes—
959C2×C22⋊C4C2413yes—
960C2×C22⋊C4C2413yes—
961C2×C22⋊C4C2413yes—
962C2×C22⋊C4C2413yes—
963C2×C22⋊C4C2413yes—
964C2×C22⋊C4C2413yes—
965C2×C22⋊C4C2413yes—
966C2×C22⋊C4C2413yes—
967C2×C22⋊C4C2413yes—
968C2×C22⋊C4C2413yes—
969C2×C22⋊C4C2413yes—
970C2×C22⋊C4C2413yes—
971C2×C22⋊C4C2413yes—
972C2×C22⋊C4C2413yes—
973C2×C22⋊C4C2413yes—
974C2×C22⋊C4C2413yes—
975C2×C22⋊C4C2413yes—
976C2×C22⋊C4C2413yes—
977C2×C22⋊C4C2413yes—
978C2×C22⋊C4C2413yes—
979C2×C22⋊C4C2413yes—
980C2×C22⋊C4C2413yes—
981C2×C22⋊C4C2413yes—
982C2×C22⋊C4C2413yes—
983C2×C22⋊C4C2413yes—
984C2×C22⋊C4C2413yes—
985C2×C22⋊C4C2413yes—
986C2×C22⋊C4C2413yes—
987C2×C22⋊C4C2413yes—
988C2×C22⋊C4C2413yes—
989C2×C22⋊C4C2413yes—
990C2×C22⋊C4C2413yes—
991C2×C22⋊C4C2413yes—
992C2×C22⋊C4C2413yes—
993C2×C22⋊C4C2413yes—
994C2×C22⋊C4C2413yes—
995C2×C22⋊C4C2413yes—
996C2×C42C2413yes—
997C2×C42C2413yes—
998C2×C42C2413yes—
999C2×C42C2413yes—
1000C2×C42C2413yes—
1001C2×C42C2413yes—
1002C2×C42C2413yes—
1003C2×C42C2413yes—
1004C2×C42C2413yes—
1005C2×C42C2413yes—
1006C2×C42C2413yes—
1007C2×C42C2413yes—
1008C2×C42C2413yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011#95C2411yescharacteristic
1012#95C2413yes—
1013#95C2413yes—
1014#95C2413yes—
1015#95C2411yescharacteristic
1016#95C2413yes—
1017#95C2413yes—
1018#95C2413yes—
1019#95C2413yes—
1020#95C2413yes—
1021#95C2413yes—
1022#95C2413yes—
1023#95C2413yes—
1024#95C2413yes—
1025#95C2413yes—
1026#95C2413yes—
1027#95C2413yes—
1028#95C2413yes—
1029#95C2413yes—
1030#95C2413yes—
1031#95C2413yes—
1032#95C2413yes—
1033#95C2413yes—
1034#95C2413yes—
1035#95C2413yes—
1036#95C2413yes—
1037#95C2413yes—
1038#95C2413yes—
1039#95C2413yes—
1040#95C2413yes—
1041#95C2413yes—
1042#95C2413yes—
1043#95C2413yes—
1044#95C2413yes—
1045#95C2413yes—
1046#95C2413yes—
1047#95C2413yes—
1048#95C2413yes—
1049#95C2413yes—
1050#95C2413yes—
1051#95C2413yes—
1052#95C2413yes—
1053#95C2413yes—
1054#95C2413yes—
1055#95C2413yes—
1056#95C2413yes—
1057C24—26no—
1058C24—26no—
1059C24—26no—
1060C24—26no—
1061C24—26no—
1062C24—26no—
1063C24—26no—
1064C24—43no—
1065C24—43no—
1066C24—43no—
1067C24—43no—
1068C24—43no—
1069C24—43no—
1070C24—43no—
1071C24—43no—
1072C24—41no—
1073C24—43no—
1074C24—43no—
1075C24—43no—
1076C24—43no—
1077C24—43no—
1078C24—43no—
1079C24—43no—
1080C24—43no—
1081C24—88no—
1082C24—824no—
1083C24—824no—
1084C24C2511yescharacteristic
1085C24C2513yes—
1086C24C2513yes—
1087C24C2511yescharacteristic
1088C24C2513yes—
1089C24C2513yes—
1090#41—824no—
1091C2×Q8—26no—
1092C2×Q8—26no—
1093C2×Q8—26no—
1094C2×Q8—43no—
1095C2×Q8—43no—
1096C2×Q8—43no—
1097C2×D4—26no—
1098C2×D4—26no—
1099C2×D4—26no—
1100C2×D4—26no—
1101C2×D4—26no—
1102C2×D4—26no—
1103C2×D4—26no—
1104C2×D4—26no—
1105C2×D4—26no—
1106C2×D4—26no—
1107C2×D4—26no—
1108C2×D4—26no—
1109C2×D4—26no—
1110C2×D4—26no—
1111C2×D4—26no—
1112C2×D4—26no—
1113C2×D4—43no—
1114C2×D4—43no—
1115C2×D4—43no—
1116C2×D4—43no—
1117C2×D4—43no—
1118C2×D4—43no—
1119C2×D4—43no—
1120C2×D4—43no—
1121C2×D4—43no—
1122C2×D4—43no—
1123C2×D4—43no—
1124C2×D4—43no—
1125C2×D4—43no—
1126C2×D4—43no—
1127C2×D4—43no—
1128C2×D4—43no—
1129C2×D4—43no—
1130C2×D4—43no—
1131C2×D4—43no—
1132C2×D4—43no—
1133C2×D4—43no—
1134C2×D4—43no—
1135C2×D4—43no—
1136C2×D4—43no—
1137C2×D4—43no—
1138C2×D4—43no—
1139C2×D4—43no—
1140C2×D4—43no—
1141C2×D4—43no—
1142C2×D4—43no—
1143C2×D4—43no—
1144C2×D4—43no—
1145C2×D4—43no—
1146C2×D4—43no—
1147C2×D4—43no—
1148C2×D4—43no—
1149C2×D4—43no—
1150C2×D4—43no—
1151C2×D4—43no—
1152C2×D4—43no—
1153C2×D4—43no—
1154C2×D4—43no—
1155C2×D4—43no—
1156C2×D4—43no—
1157C2×D4—43no—
1158C2×D4—824no—
1159C2×D4—824no—
1160C2×D4—824no—
1161C22×C4—26no—
1162C22×C4—26no—
1163C22×C4—26no—
1164C22×C4—26no—
1165C22×C4—26no—
1166C22×C4—26no—
1167C22×C4—26no—
1168C22×C4—26no—
1169C22×C4—43no—
1170C22×C4—43no—
1171C22×C4—43no—
1172C22×C4—43no—
1173C22×C4—43no—
1174C22×C4—43no—
1175C22×C4—43no—
1176C22×C4—43no—
1177C22×C4—43no—
1178C22×C4—43no—
1179C22×C4—43no—
1180C22×C4—43no—
1181C22×C4—43no—
1182C22×C4—43no—
1183C22×C4—43no—
1184C22×C4—43no—
1185C22×C4—43no—
1186C22×C4—43no—
1187C22×C4—43no—
1188C22×C4—43no—
1189C22×C4—43no—
1190C22×C4—43no—
1191C22×C4—43no—
1192C22×C4—43no—
1193C22×C4—43no—
1194C22×C4—43no—
1195C22×C4—43no—
1196C22×C4—43no—
1197C22×C4C2511yescharacteristic
1198C22×C4C2513yes—
1199C22×C4C2513yes—
1200C22×C4C2513yes—
1201C22×C4C2513yes—
1202C22×C4C2513yes—
1203C22×C4C2513yes—
1204C22×C4C2513yes—
1205C22×C4C2513yes—
1206C22×C4C2513yes—
1207C22×C4C2513yes—
1208C22×C4C2513yes—
1209C22×C4C2513yes—
1210C22×C4C2513yes—
1211C22×C4C2513yes—
1212C22×C4C2513yes—
1213C22×C4C2513yes—
1214C4⋊C4—26no—
1215C4⋊C4—26no—
1216C4⋊C4—26no—
1217C4⋊C4—26no—
1218C4⋊C4—26no—
1219C4⋊C4—26no—
1220C4⋊C4—26no—
1221C4⋊C4—26no—
1222C4⋊C4—43no—
1223C4⋊C4—43no—
1224C4⋊C4—43no—
1225C4⋊C4—43no—
1226C4⋊C4—43no—
1227C4⋊C4—43no—
1228C4⋊C4—43no—
1229C4⋊C4—43no—
1230C4⋊C4—43no—
1231C4⋊C4—43no—
1232C4⋊C4—43no—
1233C4⋊C4—43no—
1234C4⋊C4—43no—
1235C4⋊C4—43no—
1236C4⋊C4—43no—
1237C4⋊C4—43no—
1238C4⋊C4—43no—
1239C4⋊C4—43no—
1240C4⋊C4—43no—
1241C4⋊C4—43no—
1242C4⋊C4—43no—
1243C4⋊C4—43no—
1244C4⋊C4—43no—
1245C4⋊C4—43no—
1246C4⋊C4—43no—
1247C4⋊C4—43no—
1248C4⋊C4—43no—
1249C4⋊C4—43no—
1250C4⋊C4—43no—
1251C4⋊C4—43no—
1252C4⋊C4—43no—
1253C22⋊C4—26no—
1254C22⋊C4—26no—
1255C22⋊C4—26no—
1256C22⋊C4—26no—
1257C22⋊C4—26no—
1258C22⋊C4—26no—
1259C22⋊C4—26no—
1260C22⋊C4—26no—
1261C22⋊C4—26no—
1262C22⋊C4—26no—
1263C22⋊C4—26no—
1264C22⋊C4—26no—
1265C22⋊C4—26no—
1266C22⋊C4—26no—
1267C22⋊C4—26no—
1268C22⋊C4—26no—
1269C22⋊C4—26no—
1270C22⋊C4—26no—
1271C22⋊C4—26no—
1272C22⋊C4—26no—
1273C22⋊C4—26no—
1274C22⋊C4—26no—
1275C22⋊C4—26no—
1276C22⋊C4—26no—
1277C22⋊C4—43no—
1278C22⋊C4—43no—
1279C22⋊C4—43no—
1280C22⋊C4—43no—
1281C22⋊C4—43no—
1282C22⋊C4—43no—
1283C22⋊C4—43no—
1284C22⋊C4—43no—
1285C22⋊C4—43no—
1286C22⋊C4—43no—
1287C22⋊C4—43no—
1288C22⋊C4—43no—
1289C22⋊C4—43no—
1290C22⋊C4—43no—
1291C22⋊C4—43no—
1292C22⋊C4—43no—
1293C22⋊C4—43no—
1294C22⋊C4—43no—
1295C22⋊C4—43no—
1296C22⋊C4—43no—
1297C22⋊C4—43no—
1298C22⋊C4—43no—
1299C22⋊C4—43no—
1300C22⋊C4—43no—
1301C22⋊C4—43no—
1302C22⋊C4—43no—
1303C22⋊C4—43no—
1304C22⋊C4—43no—
1305C22⋊C4—43no—
1306C22⋊C4—43no—
1307C22⋊C4—43no—
1308C22⋊C4—43no—
1309C22⋊C4—43no—
1310C22⋊C4—43no—
1311C22⋊C4—43no—
1312C22⋊C4—43no—
1313C22⋊C4—43no—
1314C22⋊C4—43no—
1315C22⋊C4—43no—
1316C22⋊C4—43no—
1317C22⋊C4—43no—
1318C22⋊C4—43no—
1319C22⋊C4—43no—
1320C22⋊C4—43no—
1321C22⋊C4—43no—
1322C22⋊C4—43no—
1323C22⋊C4—43no—
1324C22⋊C4—43no—
1325C22⋊C4—43no—
1326C22⋊C4—43no—
1327C22⋊C4—43no—
1328C22⋊C4—43no—
1329C22⋊C4—43no—
1330C22⋊C4—43no—
1331C22⋊C4—43no—
1332C22⋊C4—43no—
1333C22⋊C4—43no—
1334C22⋊C4H(5,𝔽2)112yes—
1335C42—26no—
1336C42—26no—
1337C42—26no—
1338C42—43no—
1339C42—43no—
1340C42—43no—
1341C42—43no—
1342C42—43no—
1343C42—43no—
1344C42—43no—
1345C42—43no—
1346C42—43no—
1347C42—43no—
1348C42—41no—
1349C42—41no—
1350C23—28no—
1351C23—23no—
1352C23—23no—
1353C23—23no—
1354C23—23no—
1355C23—23no—
1356C23—23no—
1357C23—23no—
1358C23—23no—
1359C23—23no—
1360C23—23no—
1361C23—23no—
1362C23—23no—
1363C23—23no—
1364C23—23no—
1365C23—23no—
1366C23—23no—
1367C23—23no—
1368C23—23no—
1369C23—23no—
1370C23—23no—
1371C23—23no—
1372C23—23no—
1373C23—23no—
1374C23—23no—
1375C23—23no—
1376C23—23no—
1377C23—23no—
1378C23—23no—
1379C23—21no—
1380C23—23no—
1381C23—21no—
1382C23—23no—
1383C23—412no—
1384C23—412no—
1385C23—412no—
1386C23—412no—
1387C23—412no—
1388C23—86no—
1389C23—86no—
1390C23—86no—
1391C23—86no—
1392C23—86no—
1393C23—86no—
1394C23—86no—
1395C23—86no—
1396C23—86no—
1397C23—86no—
1398C23—86no—
1399C23—86no—
1400C23—86no—
1401C23—86no—
1402C23—86no—
1403C23—86no—
1404C23—864no—
1405C23—163no—
1406C23—163no—
1407C23C2×H(5,𝔽2)16yes—
1408C23#58516yes—
1409C23C2611yescharacteristic
1410Q8—412no—
1411Q8—86no—
1412D4—412no—
1413D4—412no—
1414D4—412no—
1415D4—412no—
1416D4—86no—
1417D4—86no—
1418D4—86no—
1419D4—86no—
1420D4—86no—
1421D4—86no—
1422D4—86no—
1423D4—86no—
1424D4—86no—
1425D4—86no—
1426D4—86no—
1427D4—86no—
1428D4—86no—
1429D4—163no—
1430D4—163no—
1431D4—161no—
1432D4—163no—
1433C2×C4—23no—
1434C2×C4—23no—
1435C2×C4—23no—
1436C2×C4—23no—
1437C2×C4—23no—
1438C2×C4—23no—
1439C2×C4—23no—
1440C2×C4—23no—
1441C2×C4—23no—
1442C2×C4—23no—
1443C2×C4—23no—
1444C2×C4—23no—
1445C2×C4—23no—
1446C2×C4—23no—
1447C2×C4—23no—
1448C2×C4—23no—
1449C2×C4—23no—
1450C2×C4—23no—
1451C2×C4—23no—
1452C2×C4—23no—
1453C2×C4—23no—
1454C2×C4—23no—
1455C2×C4—23no—
1456C2×C4—23no—
1457C2×C4—23no—
1458C2×C4—23no—
1459C2×C4—23no—
1460C2×C4—23no—
1461C2×C4—23no—
1462C2×C4—23no—
1463C2×C4—23no—
1464C2×C4—23no—
1465C2×C4—23no—
1466C2×C4—23no—
1467C2×C4—23no—
1468C2×C4—23no—
1469C2×C4—23no—
1470C2×C4—23no—
1471C2×C4—23no—
1472C2×C4—23no—
1473C2×C4—23no—
1474C2×C4—23no—
1475C2×C4—23no—
1476C2×C4—23no—
1477C2×C4—23no—
1478C2×C4—23no—
1479C2×C4—23no—
1480C2×C4—412no—
1481C2×C4—86no—
1482C2×C4—86no—
1483C2×C4—86no—
1484C2×C4—86no—
1485C2×C4—86no—
1486C2×C4—86no—
1487C2×C4—86no—
1488C2×C4—163no—
1489C2×C4—163no—
1490C2×C4—163no—
1491C2×C4—163no—
1492C2×C4C2×H(5,𝔽2)16yes—
1493C2×C4C2×H(5,𝔽2)16yes—
1494C22—26no—
1495C22—26no—
1496C22—26no—
1497C22—26no—
1498C22—26no—
1499C22—26no—
1500C22—43no—
1501C22—43no—
1502C22—43no—
1503C22—43no—
1504C22—43no—
1505C22—43no—
1506C22—43no—
1507C22—43no—
1508C22—43no—
1509C22—43no—
1510C22—43no—
1511C22—43no—
1512C22—43no—
1513C22—43no—
1514C22—43no—
1515C22—43no—
1516C22—41no—
1517C22—41no—
1518C22—43no—
1519C22—43no—
1520C22—43no—
1521C22—43no—
1522C22—43no—
1523C22—43no—
1524C22—43no—
1525C22—43no—
1526C22—43no—
1527C22—43no—
1528C22—88no—
1529C22—824no—
1530C22—824no—
1531C22—1612no—
1532C22C22×H(5,𝔽2)13yes—
1533C22C2×#58513yes—
1534C22H(7,𝔽2)11yescharacteristic
1535C4—26no—
1536C4—26no—
1537C4—43no—
1538C4—43no—
1539C4—43no—
1540C4—43no—
1541C4—43no—
1542C4—43no—
1543C4—43no—
1544C4—41no—
1545C4—43no—
1546C4—43no—
1547C4—43no—
1548C4—43no—
1549C4—43no—
1550C4—43no—
1551C4—43no—
1552C2—46no—
1553C2—46no—
1554C2—81no—
1555C2—81no—
1556C2—83no—
1557C2—83no—
1558C2#6282611yescharacteristic
1559C2#6292413yes—
1560C2#6301213yes—
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. #59416C2semidirect
2. #58991C2semidirect
3. #57220C2semidirect
4. #55553C2semidirect
5. #54182C2semidirect
6. #51440C2semidirect
7. #48689C2semidirect
8. #48574C2semidirect
9. #48535C2semidirect
10. #47884C2semidirect
11. #47844C2semidirect
12. #47662C2semidirect
13. #47006C2semidirect
14. #45404C2semidirect
15. #44367C2semidirect
16. #44226C2semidirect
17. #43424C2semidirect
18. #40521C2semidirect
19. #40433C2semidirect
20. #37833C2semidirect
21. #35918C2semidirect
22. #35481C2semidirect
23. #35369C2semidirect
24. C2×#556C22semidirect
25. C2×#551C22semidirect
27. C2×#546C22semidirect
28. C2×#538C22semidirect
30. #2860C22semidirect
32. #2829C22semidirect
33. #2818C22semidirect
34. #2814C22semidirect
35. #2813C22semidirect
36. #2812C22semidirect
37. #2800C22semidirect
38. #2786C22semidirect
39. #2783C22semidirect
40. #2780C22semidirect
41. #2779C22semidirect
42. #2771C22semidirect
43. #2768C22semidirect
44. #2761C22semidirect
45. #2761C22semidirect
46. #2754C22semidirect
47. #2753C22semidirect
48. #2753C22semidirect
49. #2748C22semidirect
50. #2748C22semidirect
51. #2747C22semidirect
52. #2738C22semidirect
53. #2732C22semidirect
54. #2730C22semidirect
55. #2727C22semidirect
56. #2723C22semidirect
57. #2722C22semidirect
58. #2715C22semidirect
59. #2714C22semidirect
60. #2714C22semidirect
61. #2714C22semidirect
62. #2714C22semidirect
63. #2712C22semidirect
64. #2710C22semidirect
65. #2706C22semidirect
66. #2706C22semidirect
67. #2705C22semidirect
68. #2705C22semidirect
69. #2705C22semidirect
70. #2705C22semidirect
71. #2705C22semidirect
72. #2702C22semidirect
73. #2701C22semidirect
74. #2697C22semidirect
75. #2696C22semidirect
76. #2695C22semidirect
77. #2691C22semidirect
78. #2691C22semidirect
79. #2688C22semidirect
80. #2687C22semidirect
81. #2687C22semidirect
84. #2685C22semidirect
85. #2685C22semidirect
86. #2685C22semidirect
87. #2685C22semidirect
88. #2685C22semidirect
89. #2685C22semidirect
90. #2682C22semidirect
91. #2682C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2675C22semidirect
98. #2674C22semidirect
99. #2671C22semidirect
100. #2671C22semidirect
103. #2670C22semidirect
104. #2670C22semidirect
105. #2669C22semidirect
107. #2667C22semidirect
108. #2661C22semidirect
109. #2649C22semidirect
110. #2648C22semidirect
111. #2643C22semidirect
112. #2636C22semidirect
113. #2635C22semidirect
114. #2626C22semidirect
115. #2617C22semidirect
116. #2615C22semidirect
117. #2613C22semidirect
118. #2609C22semidirect
119. #2602C22semidirect
120. #2601C22semidirect
121. #2601C22semidirect
122. #2600C22semidirect
123. #2589C22semidirect
124. #2587C22semidirect
125. #2580C22semidirect
126. #2580C22semidirect
127. #2576C22semidirect
128. #2576C22semidirect
129. #2559C22semidirect
130. #2559C22semidirect
131. #2559C22semidirect
132. #2557C22semidirect
133. #2555C22semidirect
134. #2554C22semidirect
135. #2553C22semidirect
136. #2553C22semidirect
137. #2553C22semidirect
138. #2553C22semidirect
139. #2539C22semidirect
140. #2539C22semidirect
141. #2539C22semidirect
142. #2536C22semidirect
143. #2534C22semidirect
144. #2518C22semidirect
145. #2491C22semidirect
146. #2485C22semidirect
147. #2482C22semidirect
148. #2480C22semidirect
149. #2480C22semidirect
150. #2480C22semidirect
151. #2480C22semidirect
152. #2480C22semidirect
153. #2480C22semidirect
154. #2480C22semidirect
155. #2480C22semidirect
156. #2480C22semidirect
157. #2480C22semidirect
158. #2479C22semidirect
159. #2478C22semidirect
160. #2476C22semidirect
161. #2476C22semidirect
163. #2472C22semidirect
164. #2472C22semidirect
165. #2472C22semidirect
166. #2472C22semidirect
167. #2468C22semidirect
168. #2467C22semidirect
169. #2466C22semidirect
170. #2465C22semidirect
171. #2464C22semidirect
172. #2464C22semidirect
173. #2464C22semidirect
174. #2463C22semidirect
175. #2459C22semidirect
176. #2458C22semidirect
177. #2458C22semidirect
178. #2458C22semidirect
179. #2456C22semidirect
180. #2455C22semidirect
181. #2452C22semidirect
182. #2448C22semidirect
183. #2439C22semidirect
184. #2437C22semidirect
185. #2435C22semidirect
186. #2432C22semidirect
187. #2429C22semidirect
188. #2428C22semidirect
189. #2427C22semidirect
190. #2426C22semidirect
191. #2426C22semidirect
192. #2425C22semidirect
193. #2424C22semidirect
194. #2424C22semidirect
195. #2424C22semidirect
196. #2424C22semidirect
197. #2421C22semidirect
198. #2420C22semidirect
200. #2418C22semidirect
201. #2414C22semidirect
203. #2412C22semidirect
204. #2411C22semidirect
205. #2411C22semidirect
206. #2411C22semidirect
209. #2410C22semidirect
210. #2410C22semidirect
211. #2410C22semidirect
213. #2408C22semidirect
214. #2408C22semidirect
215. #2407C22semidirect
216. #2405C22semidirect
217. #2404C22semidirect
218. #2403C22semidirect
219. #2392C22semidirect
220. #2392C22semidirect
221. #2377C22semidirect
222. #2376C22semidirect
223. #2367C22semidirect
224. #2364C22semidirect
225. #2363C22semidirect
227. #2358C22semidirect
228. #2342C22semidirect
229. #2342C22semidirect
230. #2341C22semidirect
231. D4×C22⋊C4C22semidirect
232. D4×C22⋊C4C22semidirect
233. #2335C22semidirect
234. #2334C22semidirect
235. #2333C22semidirect
236. #2324C22semidirect
237. #2323C22semidirect
238. #2321C22semidirect
239. #2315C22semidirect
240. #2309C22semidirect
241. C4×#124C22semidirect
242. C4×#124C22semidirect
244. #2273C22semidirect
255. C2×C4⋊Q8C23semidirect
256. C2×#127C23semidirect
263. C2×#126C23semidirect
264. C2×#126C23semidirect
265. C2×#126C23semidirect
266. C2×#126C23semidirect
267. C2×#126C23semidirect
273. C2×#124C23semidirect
283. C2×#123C23semidirect
284. C2×#123C23semidirect
289. C2×C22⋊Q8C23semidirect
290. C2×C22⋊Q8C23semidirect
304. C2×#121C23semidirect
305. C2×#121C23semidirect
323. C2×C4×Q8C23semidirect
324. C2×C4×Q8C23semidirect
325. C2×C4×Q8C23semidirect
334. C2×C4×D4C23semidirect
335. C2×C4×D4C23semidirect
339. C2×#117C23semidirect
351. #401C23semidirect
352. #400C23semidirect
353. #400C23semidirect
354. #400C23semidirect
355. #400C23semidirect
356. #400C23semidirect
363. #399C23semidirect
364. #399C23semidirect
365. #399C23semidirect
366. #399C23semidirect
367. #398C23semidirect
368. #398C23semidirect
369. #398C23semidirect
370. #398C23semidirect
371. #398C23semidirect
372. #398C23semidirect
373. #398C23semidirect
374. #398C23semidirect
375. #398C23semidirect
376. #398C23semidirect
377. #398C23semidirect
392. #397C23semidirect
393. #397C23semidirect
394. #397C23semidirect
395. #397C23semidirect
396. #397C23semidirect
397. #397C23semidirect
410. #396C23semidirect
411. #396C23semidirect
412. #396C23semidirect
413. #396C23semidirect
414. #396C23semidirect
415. #396C23semidirect
416. #396C23semidirect
417. #396C23semidirect
418. #396C23semidirect
419. #395C23semidirect
450. #394C23semidirect
451. #394C23semidirect
452. #394C23semidirect
453. #394C23semidirect
454. #394C23semidirect
455. #394C23semidirect
456. #394C23semidirect
457. #394C23semidirect
458. #394C23semidirect
459. #394C23semidirect
460. #394C23semidirect
461. #394C23semidirect
462. #394C23semidirect
463. #394C23semidirect
468. #393C23semidirect
469. #393C23semidirect
470. #393C23semidirect
489. #392C23semidirect
490. #392C23semidirect
491. #392C23semidirect
492. #392C23semidirect
493. #391C23semidirect
494. #391C23semidirect
495. #391C23semidirect
496. #391C23semidirect
521. #390C23semidirect
522. #390C23semidirect
523. #390C23semidirect
524. #390C23semidirect
525. #390C23semidirect
526. #389C23semidirect
527. #389C23semidirect
528. #389C23semidirect
529. #389C23semidirect
530. #389C23semidirect
531. #389C23semidirect
532. #389C23semidirect
533. #389C23semidirect
534. #389C23semidirect
535. #389C23semidirect
536. #389C23semidirect
537. #389C23semidirect
538. #389C23semidirect
567. #388C23semidirect
568. #388C23semidirect
569. #388C23semidirect
570. #388C23semidirect
571. #388C23semidirect
572. #388C23semidirect
573. #388C23semidirect
574. #388C23semidirect
575. #388C23semidirect
576. #388C23semidirect
577. #388C23semidirect
578. #388C23semidirect
579. #388C23semidirect
580. #388C23semidirect
581. #388C23semidirect
582. #388C23semidirect
583. #388C23semidirect
584. #388C23semidirect
585. #388C23semidirect
586. #388C23semidirect
587. #388C23semidirect
588. #387C23semidirect
589. #387C23semidirect
590. #387C23semidirect
591. #387C23semidirect
592. #387C23semidirect
593. #387C23semidirect
594. #387C23semidirect
595. #387C23semidirect
596. #387C23semidirect
597. #387C23semidirect
598. #387C23semidirect
599. #387C23semidirect
600. #387C23semidirect
601. #387C23semidirect
602. #387C23semidirect
603. #387C23semidirect
604. #387C23semidirect
632. #386C23semidirect
633. #386C23semidirect
634. #386C23semidirect
635. #386C23semidirect
636. #386C23semidirect
637. #386C23semidirect
657. #385C23semidirect
658. #385C23semidirect
659. #385C23semidirect
660. #385C23semidirect
661. #385C23semidirect
662. #385C23semidirect
663. #385C23semidirect
664. #385C23semidirect
665. #383C23semidirect
666. #382C23semidirect
667. #382C23semidirect
668. #382C23semidirect
669. #382C23semidirect
672. #381C23semidirect
673. #381C23semidirect
683. #380C23semidirect
684. #380C23semidirect
685. #380C23semidirect
686. #380C23semidirect
687. #380C23semidirect
704. C4×C4⋊C4C23semidirect
705. C4×C4⋊C4C23semidirect
706. C4×C4⋊C4C23semidirect
717. C4×C22⋊C4C23semidirect
718. C4×C22⋊C4C23semidirect
719. C4×C22⋊C4C23semidirect
720. C4×C22⋊C4C23semidirect
721. C4×C22⋊C4C23semidirect
722. C4×C22⋊C4C23semidirect
723. C4×C22⋊C4C23semidirect
724. C2×#95C23semidirect
725. C43C23semidirect

Maximal subgroups

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

subgroupindex
#594162
#589912
#572202
#555532
#541822
#514402
#486892
#485742
#485352
#478842
#478442
#476622
#470062
#454042
#443672
#442262
#434242
#405212
#404332
#378332
#359182
#354812
#353692