Finite Group Databasebeta

← #7645581

Subgroups — #7645581

Order 512.

5124 conjugacy classes of subgroups.

The subgroup lattice has 1581 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42018C214yesmaximal, complemented
2#42017C214yesmaximal, complemented
3#41964C214yesmaximal, complemented
4#41962C214yesmaximal, complemented
5#39502C211yesmaximal, characteristic, complemented
6#39500C211yesmaximal, characteristic, complemented
7#39374C211yesmaximal, characteristic, complemented
8#39372C211yesmaximal, characteristic, complemented
9#39188C211yesmaximal, characteristic, complemented
10#39187C211yesmaximal, characteristic, complemented
11#39185C211yesmaximal, characteristic, complemented
12#39185C211yesmaximal, characteristic, complemented
13#37852C212yesmaximal, complemented
14#37850C212yesmaximal, complemented
15#37664C212yesmaximal, complemented
16#37662C212yesmaximal, complemented
17#37573C212yesmaximal, complemented
18#37570C212yesmaximal, complemented
19#36803C214yesmaximal, complemented
20#36801C214yesmaximal, complemented
21#35375C214yesmaximal, complemented
22#35218C212yesmaximal, complemented
23#35169C212yesmaximal, complemented
24#35132C211yesmaximal, characteristic, complemented
25#35102C211yesmaximal, characteristic, complemented
26#34998C214yesmaximal, complemented
27#34965C211yesmaximal, characteristic, complemented
28C2×#2535C211yesmaximal, characteristic, complemented
29#34229C211yesmaximal, characteristic, complemented
30#34126C211yesmaximal, characteristic, complemented
31#34058C211yesmaximal, characteristic, complemented
32C2×#542C2212yescomplemented
33C2×#540C2212yescomplemented
34C2×#529C2211yescharacteristic
35C22×#121C2212yes—
36C22×C4×D4C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38#2864C2211yescharacteristic, complemented
39#2864C2211yescharacteristic, complemented
40#2862C2211yescharacteristic, complemented
41#2859C2211yescharacteristic, complemented
42#2854C2214yescomplemented
43#2853C2214yescomplemented
44#2852C2214yescomplemented
45#2850C2214yescomplemented
46#2848C2212yes—
47#2847C2212yes—
48#2838C2214yescomplemented
49#2837C2214yescomplemented
50#2829C2214yescomplemented
51#2828C2214yescomplemented
52#2808C2214yescomplemented
53#2803C2214yescomplemented
54#2803C2214yescomplemented
55#2797C2214yescomplemented
56#2796C2214yescomplemented
57#2796C2214yescomplemented
58#2787C2214yescomplemented
59#2783C2214yescomplemented
60#2777C2214yescomplemented
61#2747C2214yescomplemented
62#2746C2214yescomplemented
63#2744C2214yescomplemented
64#2741C2214yescomplemented
65#2739C2214yescomplemented
66#2737C2214yescomplemented
67#2733C2214yescomplemented
68#2724C2214yescomplemented
69#2722C2214yescomplemented
70#2717C2214yescomplemented
71#2714C2214yescomplemented
72#2714C2214yescomplemented
73#2710C2214yescomplemented
74#2703C2214yescomplemented
75#2701C2214yescomplemented
76#2699C2214yescomplemented
77#2691C2214yescomplemented
78#2689C2214yescomplemented
79#2688C2214yescomplemented
80#2686C2214yescomplemented
81#2682C2214yescomplemented
82#2672C2214yescomplemented
83#2671C2214yescomplemented
84#2666C2214yescomplemented
85#2663C2214yescomplemented
86#2662C2214yescomplemented
87#2661C2214yescomplemented
88#2661C2214yescomplemented
89#2654C2214yescomplemented
90#2653C2214yescomplemented
91#2652C2214yescomplemented
92#2649C2214yescomplemented
93#2649C2214yescomplemented
94#2648C2214yescomplemented
95#2648C2214yescomplemented
96#2648C2214yescomplemented
97#2629C2212yescomplemented
98#2628C2212yescomplemented
99#2625C2212yescomplemented
100#2624C2212yescomplemented
101#2624C2212yescomplemented
102#2624C2212yescomplemented
103#2623C2212yes—
104#2620C2212yescomplemented
105#2619C2212yescomplemented
106#2613C2212yes—
107#2612C2214yescomplemented
108#2603C2212yescomplemented
109#2603C2212yescomplemented
110#2603C2214yescomplemented
111#2598C2214yescomplemented
112#2597C2214yescomplemented
113#2595C2214yescomplemented
114#2573C2214yescomplemented
115#2570C2212yescomplemented
116#2569C2214yes—
117#2566C2211yescharacteristic, complemented
118#2566C2211yescharacteristic, complemented
119#2564C2214yes—
120#2562C2212yescomplemented
121#2559C2214yescomplemented
122#2557C2214yescomplemented
123#2555C2214yescomplemented
124#2554C2214yescomplemented
125#2553C2214yescomplemented
126#2550C2212yescomplemented
127#2544C2211yescharacteristic, complemented
128#2544C2211yescharacteristic, complemented
129#2540C2212yescomplemented
130#2536C2211yescharacteristic, complemented
131#2536C2211yescharacteristic, complemented
132#2535C2211yescharacteristic
133#2535C2211yescharacteristic
134#2535C2211yescharacteristic
135#2535C2211yescharacteristic
136#2535C2214yes—
137#2535C2212yes—
138#2535C2212yes—
139#2535C2212yes—
140#2535C2212yes—
141#2535C2211yescharacteristic, complemented
142#2535C2211yescharacteristic, complemented
143#2531C2214yescomplemented
144#2526C2214yescomplemented
145#2521C2214yescomplemented
146#2518C2214yescomplemented
147#2518C2214yescomplemented
148#2516C2214yescomplemented
149#2510C2214yes—
150#2510C2214yescomplemented
151#2505C2214yes—
152#2504C2211yescharacteristic
153#2502C2211yescharacteristic
154#2496C2212yescomplemented
155#2496C2212yescomplemented
156#2495C2212yescomplemented
157#2494C2212yescomplemented
158#2491C2212yescomplemented
159#2491C2212yescomplemented
160#2490C2212yescomplemented
161#2489C2212yescomplemented
162#2488C2214yescomplemented
163#2480C2214yes—
164#2480C2214yes—
165#2480C2214yes—
166#2479C2214yescomplemented
167#2476C2214yescomplemented
168#2474C2214yescomplemented
169#2472C2214yes—
170#2471C2214yescomplemented
171#2467C2214yescomplemented
172#2467C2214yescomplemented
173#2459C2214yescomplemented
174#2459C2214yescomplemented
175#2444C2214yescomplemented
176#2444C2214yescomplemented
177#2442C2212yes—
178#2440C2212yes—
179#2438C2214yes—
180#2437C2214yes—
181#2435C2211yescharacteristic
182#2435C2214yes—
183#2433C2211yescharacteristic
184#2428C2212yescomplemented
185#2428C2212yescomplemented
186#2427C2212yescomplemented
187#2426C2212yescomplemented
188#2425C2214yescomplemented
189#2425C2214yescomplemented
190#2422C2212yescomplemented
191#2422C2212yescomplemented
192#2421C2212yescomplemented
193#2420C2212yescomplemented
194#2418C2214yes—
195#2418C2214yes—
196#2412C2214yes—
197#2411C2214yes—
198#2410C2214yes—
199#2408C2214yes—
200#2405C2214yes—
201#2392C2214yescomplemented
202C2×#397C2212yes—
203C2×#392C2212yes—
204#2361C2212yes—
205#2360C2212yes—
206#2359C2214yes—
207#2357C2211yescharacteristic, complemented
208#2357C2211yescharacteristic, complemented
209#2357C2211yescharacteristic, complemented
210#2356C2211yescharacteristic, complemented
211#2353C2212yescomplemented
212#2353C2212yescomplemented
213#2351C2211yescharacteristic, complemented
214#2349C2211yescharacteristic, complemented
215#2349C2211yescharacteristic, complemented
216#2349C2211yescharacteristic, complemented
217#2346C2212yescomplemented
218#2345C2212yes—
219#2343C2212yescomplemented
220#2342C2214yes—
221D4×C22⋊C4C2212yes—
222#2334C2214yescomplemented
223#2329C2214yes—
224#2324C2212yescomplemented
225#2324C2212yescomplemented
226#2324C2212yescomplemented
227#2323C2212yescomplemented
228#2321C2214yes—
229#2319C2212yescomplemented
230#2319C2212yescomplemented
231#2319C2212yescomplemented
232#2319C2212yescomplemented
233#2318C2212yes—
234#2316C2212yes—
235#2314C2212yescomplemented
236#2314C2212yescomplemented
237#2312C2212yes—
238#2312C2212yes—
239#2309C2212yes—
240C4×#127C2211yescharacteristic, complemented
241C4×#127C2211yescharacteristic, complemented
242C4×#125C2212yescomplemented
243C4×#124C2211yescharacteristic, complemented
244C4×#124C2211yescharacteristic, complemented
245C4×#124C2212yescomplemented
246C4×#120C2214yes—
247#2293C2211yescharacteristic, complemented
248#2293C2211yescharacteristic, complemented
249#2293C2211yescharacteristic, complemented
250#2293C2211yescharacteristic, complemented
251#2293C2212yescomplemented
252#2293C2212yescomplemented
253#2293C2212yescomplemented
254#2290C2214yescomplemented
255C2×#386C2214yes—
256#2283C2211yescharacteristic
257C2×#382C2211yescharacteristic
258#2280C2212yes—
259#2280C2212yes—
260#2280C2212yes—
261C2×#380C2212yes—
262#2275C2212yes—
263C42×D4C2212yescomplemented
264C4×#117C2211yescharacteristic
265C4×#117C2211yescharacteristic
266C2×C4×C22⋊C4C2212yes—
267C23×D4C2311yescharacteristic
268C23×D4C2311yescharacteristic
269C23×D4C2314yes—
270C24×C4C2312yes—
271C24×C4C2312yes—
272#542—48no—
273#540—48no—
274C2×C4⋊Q8C2312yes—
275C2×#127C2311yescharacteristic
276C2×#127C2311yescharacteristic
277#529—28no—
278C2×#126C2312yes—
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#126C2314yes—
282C2×#125C2311yescharacteristic
283C2×#125C2312yes—
284C2×#124C2311yescharacteristic
285C2×#124C2311yescharacteristic
286C2×#124C2311yescharacteristic
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#124C2314yes—
290C2×#123C2312yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×C22⋊Q8C2311yescharacteristic
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2314yes—
301C2×#121—48no—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2311yescharacteristic
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2314yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#120C2314yes—
316C2×#120C2314yes—
317C2×C4×Q8C2311yescharacteristic
318C2×C4×Q8C2312yes—
319C2×C4×D4—28no—
320C2×C4×D4—28no—
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2312yes—
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2312yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2312yes—
332C2×C4×D4C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2314yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2314yes—
341C2×#117C2312yes—
342C2×#117C2312yes—
343C2×#117C2312yes—
344C2×#117C2312yes—
345C2×#117C2312yes—
346C2×#117C2312yes—
347C2×#117C2312yes—
348C2×#117C2314yes—
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2312yes—
352C22×C22⋊C4C2312yes—
353C22×C22⋊C4C2312yes—
354C22×C22⋊C4C2314yes—
355C22×C22⋊C4C2314yes—
356C22×C22⋊C4C2314yes—
357C22×C42C2314yes—
358C22×C42C2311yescharacteristic
359#401C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#399C2314yes—
371#399C2314yes—
372#399C2314yes—
373#399C2314yes—
374#399C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2312yes—
380#398C2312yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2312yes—
399#397C2312yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2312yes—
405#397C2312yes—
406#397C2312yes—
407#397C2312yes—
408#397C2314yes—
409#397C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#395C2314yes—
418#395C2314yes—
419#395C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2312yes—
435#394C2312yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#393C2314yes—
447#393C2314yes—
448#393C2314yes—
449#392C2314yes—
450#392C2314yes—
451#392C2314yes—
452#392C2314yes—
453#392C2312yes—
454#392C2312yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2312yes—
459#392C2312yes—
460#392C2312yes—
461#392C2312yes—
462#392C2314yes—
463#391C2311yescharacteristic
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2312yes—
468#391C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#390C2311yescharacteristic
472#390C2314yes—
473#390C2314yes—
474#390C2311yescharacteristic
475#390C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2312yes—
483#390C2311yescharacteristic
484#390C2311yescharacteristic
485#390C2314yes—
486#390C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2314yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2314yes—
494#390C2314yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2312yes—
520#388C2312yes—
521#388C2312yes—
522#388C2312yes—
523#388C2312yes—
524#388C2312yes—
525#388C2312yes—
526#388C2312yes—
527#388C2312yes—
528#388C2312yes—
529#388C2312yes—
530#388C2312yes—
531#388C2312yes—
532#388C2312yes—
533#388C2312yes—
534#388C2312yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
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#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
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#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#384C2311yescharacteristic
630#384C2311yescharacteristic
631#384C2312yes—
632#383C2314yes—
633#383C2312yes—
634#383C2312yes—
635#382C2312yes—
636#382C2311yescharacteristic
637#382C2311yescharacteristic
638#382C2312yes—
639#382C2312yes—
640#382C2312yes—
641#382C2314yes—
642#382C2312yes—
643#382C2311yescharacteristic
644#382C2311yescharacteristic
645#382C2311yescharacteristic
646#382C2311yescharacteristic
647#381C2314yes—
648#381C2312yes—
649#381C2312yes—
650#381C2312yes—
651#381C2312yes—
652#381C2312yes—
653#381C2312yes—
654#381C2312yes—
655#381C2312yes—
656#380C2312yes—
657#380C2312yes—
658#380C2312yes—
659#380C2312yes—
660#380C2312yes—
661#380C2314yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2314yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2314yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2314yes—
680#380C2314yes—
681#379C2312yes—
682#379C2312yes—
683#379C2312yes—
684#379C2312yes—
685#379C2314yes—
686#379C2314yes—
687#379C2314yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2314yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2311yescharacteristic
694C4×C4⋊C4C2311yescharacteristic
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2311yescharacteristic
702C4×C22⋊C4C2311yescharacteristic
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2311yescharacteristic
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2311yescharacteristic
725C4×C22⋊C4C2311yescharacteristic
726#376C2311yescharacteristic
727#376C2311yescharacteristic
728#376C2312yes—
729#376C2312yes—
730#376C2312yes—
731C2×#95C2314yes—
732C2×#95C2312yes—
733C2×#95C2312yes—
734C2×#95C2312yes—
735C2×#95C2312yes—
736C2×#95C2312yes—
737C43C2312yes—
738C43C2311yescharacteristic
739C43C2311yescharacteristic
740C25C2412yes—
741C25C2412yes—
742C22×Q8C2411yescharacteristic
743C22×Q8C2414yes—
744C22×D4—24no—
745C22×D4—24no—
746C22×D4—24no—
747C22×D4—42no—
748C22×D4—44no—
749C22×D4—48no—
750C22×D4—48no—
751C22×D4—84no—
752C22×D4C2412yes—
753C22×D4C2411yescharacteristic
754C22×D4C2411yescharacteristic
755C22×D4C2412yes—
756C22×D4C2411yescharacteristic
757C22×D4C2412yes—
758C22×D4C2411yescharacteristic
759C22×D4C2411yescharacteristic
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C23×C4—28no—
769C23×C4—28no—
770C23×C4—44no—
771C23×C4—44no—
772C23×C4—84no—
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2414yes—
780C23×C4C2414yes—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2414yes—
789C23×C4C2414yes—
790C23×C4C2411yescharacteristic
791C4⋊Q8—44no—
792#127—24no—
793#127—42no—
794#126—28no—
795#126—48no—
796#126—84no—
797#126—84no—
798#125—24no—
799#125—44no—
800#124—24no—
801#124—24no—
802#124—42no—
803#124—48no—
804#124—84no—
805#124—84no—
806#123—28no—
807#123—48no—
808#123—48no—
809#123—48no—
810#123—84no—
811#123—84no—
812C22⋊Q8—24no—
813C22⋊Q8—48no—
814C22⋊Q8—48no—
815C22⋊Q8—44no—
816C22⋊Q8—44no—
817#121—28no—
818#121—28no—
819#121—24no—
820#121—48no—
821#121—48no—
822#121—48no—
823#121—44no—
824#121—44no—
825#121—44no—
826#121—44no—
827#121—48no—
828#121—84no—
829#121—84no—
830#120—48no—
831#120—48no—
832C4×Q8—24no—
833C4×Q8—44no—
834C4×D4—28no—
835C4×D4—28no—
836C4×D4—28no—
837C4×D4—28no—
838C4×D4—24no—
839C4×D4—24no—
840C4×D4—24no—
841C4×D4—24no—
842C4×D4—24no—
843C4×D4—28no—
844C4×D4—24no—
845C4×D4—28no—
846C4×D4—24no—
847C4×D4—24no—
848C4×D4—24no—
849C4×D4—44no—
850C4×D4—44no—
851C4×D4—48no—
852C4×D4—84no—
853C4×D4—84no—
854#117—28no—
855#117—44no—
856#117—44no—
857#117—44no—
858#117—44no—
859#117—44no—
860#117—44no—
861#117—84no—
862C2×C4⋊C4—24no—
863C2×C4⋊C4—24no—
864C2×C4⋊C4—44no—
865C2×C4⋊C4C2411yescharacteristic
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C22⋊C4—28no—
913C2×C22⋊C4—28no—
914C2×C22⋊C4—48no—
915C2×C22⋊C4—48no—
916C2×C22⋊C4—84no—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C42—84no—
985C2×C42#4118yes—
986C2×C42C2412yes—
987C2×C42C2412yes—
988C2×C42C2411yescharacteristic
989C2×C42C2411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2411yescharacteristic
992C2×C42C2412yes—
993C2×C42C2412yes—
994C2×C42C2412yes—
995C2×C42C2412yes—
996C2×C42C2412yes—
997C2×C42C2412yes—
998C2×C42C2414yes—
999C2×C42C2412yes—
1000C2×C42C2412yes—
1001C2×C42C2414yes—
1002C2×C42C2414yes—
1003C2×C42C2414yes—
1004C2×C42C2414yes—
1005C2×C42C2414yes—
1006C2×C42C2412yes—
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011#95C2411yescharacteristic
1012#95C2411yescharacteristic
1013#95C2411yescharacteristic
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2412yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2411yescharacteristic
1030#95C2414yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069C24—24no—
1070C24—24no—
1071C24—24no—
1072C24—28no—
1073C24—24no—
1074C24—24no—
1075C24—42no—
1076C24—42no—
1077C24—42no—
1078C24—44no—
1079C24—42no—
1080C24—42no—
1081C24C2512yes—
1082C24C2512yes—
1083C24C2512yes—
1084C24C2512yes—
1085C24C2512yes—
1086C24C2511yescharacteristic
1087C2×Q8—22no—
1088C2×Q8—22no—
1089C2×Q8—22no—
1090C2×Q8—44no—
1091C2×Q8—44no—
1092C2×Q8—44no—
1093C2×D4—24no—
1094C2×D4—24no—
1095C2×D4—28no—
1096C2×D4—28no—
1097C2×D4—28no—
1098C2×D4—28no—
1099C2×D4—22no—
1100C2×D4—24no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—24no—
1104C2×D4—22no—
1105C2×D4—22no—
1106C2×D4—22no—
1107C2×D4—22no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—416no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—416no—
1118C2×D4—44no—
1119C2×D4—44no—
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—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—832no—
1140C2×D4H(5,𝔽2)14yes—
1141C22×C4—24no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—24no—
1145C22×C4—24no—
1146C22×C4—28no—
1147C22×C4—28no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—24no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—24no—
1158C22×C4—24no—
1159C22×C4—24no—
1160C22×C4—24no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—42no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—42no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—816no—
1185C22×C4—816no—
1186C22×C4C2×#4114yes—
1187C22×C4C2×#4114yes—
1188C22×C4C2×#4114yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2514yes—
1194C22×C4C2514yes—
1195C22×C4C2514yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2514yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—22no—
1223C4⋊C4—24no—
1224C4⋊C4—22no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—44no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C22⋊C4—24no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—28no—
1265C22⋊C4—28no—
1266C22⋊C4—24no—
1267C22⋊C4—28no—
1268C22⋊C4—24no—
1269C22⋊C4—24no—
1270C22⋊C4—24no—
1271C22⋊C4—24no—
1272C22⋊C4—24no—
1273C22⋊C4—24no—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—24no—
1279C22⋊C4—24no—
1280C22⋊C4—24no—
1281C22⋊C4—24no—
1282C22⋊C4—24no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C42—24no—
1329C42—24no—
1330C42—22no—
1331C42—22no—
1332C42—24no—
1333C42—22no—
1334C42—22no—
1335C42—42no—
1336C42—44no—
1337C42—44no—
1338C42—44no—
1339C42—42no—
1340C42—42no—
1341C42—42no—
1342C42—42no—
1343C42—42no—
1344C42—44no—
1345C42—42no—
1346C42—42no—
1347C42—44no—
1348C42—44no—
1349C42C2×#4114yes—
1350C42C2×#4114yes—
1351C42C2×#4114yes—
1352C42C2×#4114yes—
1353C23—21no—
1354C23—21no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—24no—
1359C23—24no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—24no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—24no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—24no—
1382C23—24no—
1383C23—22no—
1384C23—48no—
1385C23—416no—
1386C23—48no—
1387C23—48no—
1388C23—48no—
1389C23—48no—
1390C23—84no—
1391C23—84no—
1392C23—84no—
1393C23—84no—
1394C23—88no—
1395C23—84no—
1396C23C22×#4112yes—
1397C23C2×H(5,𝔽2)14yes—
1398C23#58514yes—
1399C23C2611yescharacteristic
1400Q8—44no—
1401Q8—164no—
1402D4—28no—
1403D4—48no—
1404D4—48no—
1405D4—44no—
1406D4—44no—
1407D4—48no—
1408D4—44no—
1409D4—44no—
1410D4—88no—
1411D4—88no—
1412D4—88no—
1413D4—88no—
1414D4—88no—
1415D4—88no—
1416D4—164no—
1417D4—164no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—28no—
1425C2×C4—28no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—44no—
1480C2×C4—48no—
1481C2×C4—48no—
1482C2×C4—48no—
1483C2×C4—48no—
1484C2×C4—84no—
1485C2×C4—84no—
1486C2×C4—84no—
1487C2×C4—84no—
1488C2×C4—84no—
1489C2×C4—88no—
1490C2×C4—84no—
1491C2×C4—84no—
1492C2×C4—88no—
1493C2×C4—88no—
1494C2×C4—164no—
1495C2×C4C22×#4112yes—
1496C2×C4C22×#4112yes—
1497C2×C4C22×#4112yes—
1498C2×C4C22×#4112yes—
1499C2×C4C22×#4112yes—
1500C2×C4C22×#4112yes—
1501C2×C4C2×H(5,𝔽2)12yes—
1502C2×C4#58512yes—
1503C22—22no—
1504C22—22no—
1505C22—24no—
1506C22—24no—
1507C22—24no—
1508C22—28no—
1509C22—42no—
1510C22—44no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—44no—
1521C22—42no—
1522C22—42no—
1523C22—44no—
1524C22—42no—
1525C22—42no—
1526C22—44no—
1527C22—44no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—816no—
1537C22—816no—
1538C22#345514yes—
1539C22C23×#4111yescharacteristic
1540C22C22×H(5,𝔽2)11yescharacteristic
1541C22C2×#58511yescharacteristic
1542C22C2×#58512yes—
1543C22H(7,𝔽2)12yes—
1544C4—22no—
1545C4—22no—
1546C4—22no—
1547C4—22no—
1548C4—22no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4—42no—
1553C4—42no—
1554C4—42no—
1555C4—42no—
1556C4—44no—
1557C4—44no—
1558C4—44no—
1559C4—42no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—42no—
1565C4—44no—
1566C4—42no—
1567C4—42no—
1568C4#349414yes—
1569C2—24no—
1570C2—44no—
1571C2—82no—
1572C2—82no—
1573C2—82no—
1574C2—82no—
1575C2C2×#345511yescharacteristic
1576C2C2×#349411yescharacteristic
1577C2#6285511yescharacteristic
1578C2#6291812yes—
1579C2#6293512yes—
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. #42018C2semidirect
2. #42017C2semidirect
3. #41964C2semidirect
4. #41962C2semidirect
5. #39502C2semidirect
6. #39500C2semidirect
7. #39374C2semidirect
8. #39372C2semidirect
9. #39188C2semidirect
10. #39187C2semidirect
11. #39185C2semidirect
12. #39185C2semidirect
13. #37852C2semidirect
14. #37850C2semidirect
15. #37664C2semidirect
16. #37662C2semidirect
17. #37573C2semidirect
18. #37570C2semidirect
19. #36803C2semidirect
20. #36801C2semidirect
21. #35375C2semidirect
22. #35218C2semidirect
23. #35169C2semidirect
24. #35132C2semidirect
25. #35102C2semidirect
26. #34998C2semidirect
27. #34965C2semidirect
28. C2×#2535C2semidirect
29. #34229C2semidirect
30. #34126C2semidirect
31. #34058C2semidirect
32. C2×#542C22semidirect
33. C2×#540C22semidirect
38. #2864C22semidirect
39. #2864C22semidirect
40. #2862C22semidirect
41. #2859C22semidirect
42. #2854C22semidirect
43. #2853C22semidirect
44. #2852C22semidirect
45. #2850C22semidirect
48. #2838C22semidirect
49. #2837C22semidirect
50. #2829C22semidirect
51. #2828C22semidirect
52. #2808C22semidirect
53. #2803C22semidirect
54. #2803C22semidirect
55. #2797C22semidirect
56. #2796C22semidirect
57. #2796C22semidirect
58. #2787C22semidirect
59. #2783C22semidirect
60. #2777C22semidirect
61. #2747C22semidirect
62. #2746C22semidirect
63. #2744C22semidirect
64. #2741C22semidirect
65. #2739C22semidirect
66. #2737C22semidirect
67. #2733C22semidirect
68. #2724C22semidirect
69. #2722C22semidirect
70. #2717C22semidirect
71. #2714C22semidirect
72. #2714C22semidirect
73. #2710C22semidirect
74. #2703C22semidirect
75. #2701C22semidirect
76. #2699C22semidirect
77. #2691C22semidirect
78. #2689C22semidirect
79. #2688C22semidirect
80. #2686C22semidirect
81. #2682C22semidirect
82. #2672C22semidirect
83. #2671C22semidirect
84. #2666C22semidirect
85. #2663C22semidirect
86. #2662C22semidirect
87. #2661C22semidirect
88. #2661C22semidirect
89. #2654C22semidirect
90. #2653C22semidirect
91. #2652C22semidirect
92. #2649C22semidirect
93. #2649C22semidirect
94. #2648C22semidirect
95. #2648C22semidirect
96. #2648C22semidirect
97. #2629C22semidirect
98. #2628C22semidirect
99. #2625C22semidirect
100. #2624C22semidirect
101. #2624C22semidirect
102. #2624C22semidirect
104. #2620C22semidirect
105. #2619C22semidirect
107. #2612C22semidirect
108. #2603C22semidirect
109. #2603C22semidirect
110. #2603C22semidirect
111. #2598C22semidirect
112. #2597C22semidirect
113. #2595C22semidirect
114. #2573C22semidirect
115. #2570C22semidirect
117. #2566C22semidirect
118. #2566C22semidirect
120. #2562C22semidirect
121. #2559C22semidirect
122. #2557C22semidirect
123. #2555C22semidirect
124. #2554C22semidirect
125. #2553C22semidirect
126. #2550C22semidirect
127. #2544C22semidirect
128. #2544C22semidirect
129. #2540C22semidirect
130. #2536C22semidirect
131. #2536C22semidirect
141. #2535C22semidirect
142. #2535C22semidirect
143. #2531C22semidirect
144. #2526C22semidirect
145. #2521C22semidirect
146. #2518C22semidirect
147. #2518C22semidirect
148. #2516C22semidirect
150. #2510C22semidirect
154. #2496C22semidirect
155. #2496C22semidirect
156. #2495C22semidirect
157. #2494C22semidirect
158. #2491C22semidirect
159. #2491C22semidirect
160. #2490C22semidirect
161. #2489C22semidirect
162. #2488C22semidirect
166. #2479C22semidirect
167. #2476C22semidirect
168. #2474C22semidirect
170. #2471C22semidirect
171. #2467C22semidirect
172. #2467C22semidirect
173. #2459C22semidirect
174. #2459C22semidirect
175. #2444C22semidirect
176. #2444C22semidirect
184. #2428C22semidirect
185. #2428C22semidirect
186. #2427C22semidirect
187. #2426C22semidirect
188. #2425C22semidirect
189. #2425C22semidirect
190. #2422C22semidirect
191. #2422C22semidirect
192. #2421C22semidirect
193. #2420C22semidirect
201. #2392C22semidirect
207. #2357C22semidirect
208. #2357C22semidirect
209. #2357C22semidirect
210. #2356C22semidirect
211. #2353C22semidirect
212. #2353C22semidirect
213. #2351C22semidirect
214. #2349C22semidirect
215. #2349C22semidirect
216. #2349C22semidirect
217. #2346C22semidirect
219. #2343C22semidirect
222. #2334C22semidirect
224. #2324C22semidirect
225. #2324C22semidirect
226. #2324C22semidirect
227. #2323C22semidirect
229. #2319C22semidirect
230. #2319C22semidirect
231. #2319C22semidirect
232. #2319C22semidirect
235. #2314C22semidirect
236. #2314C22semidirect
240. C4×#127C22semidirect
241. C4×#127C22semidirect
242. C4×#125C22semidirect
243. C4×#124C22semidirect
244. C4×#124C22semidirect
245. C4×#124C22semidirect
247. #2293C22semidirect
248. #2293C22semidirect
249. #2293C22semidirect
250. #2293C22semidirect
251. #2293C22semidirect
252. #2293C22semidirect
253. #2293C22semidirect
254. #2290C22semidirect
263. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#420182
#420172
#419642
#419622
#395022
#395002
#393742
#393722
#391882
#391872
#391852
#378522
#378502
#376642
#376622
#375732
#375702
#368032
#368012
#353752
#352182
#351692
#351322
#351022
#349982
#349652
C2×#25352
#342292
#341262
#340582