Finite Group Databasebeta

← #7674976

Subgroups — #7674976

Order 512.

5490 conjugacy classes of subgroups.

The subgroup lattice has 1561 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59764C212yesmaximal, complemented
2#59637C212yesmaximal, complemented
3#59507C212yesmaximal, complemented
4#59480C212yesmaximal, complemented
5#59446C212yesmaximal, complemented
6#59378C212yesmaximal, complemented
7#59260C212yesmaximal, complemented
8#59208C212yesmaximal, complemented
9#44644C214yesmaximal, complemented
10#44586C214yesmaximal, complemented
11#43795C214yesmaximal, complemented
12#43782C214yesmaximal, complemented
13#39550C212yesmaximal, complemented
14#39495C211yesmaximal, characteristic, complemented
15#39414C212yesmaximal, complemented
16#39358C211yesmaximal, characteristic
17#39145C212yesmaximal, complemented
18#38053C214yesmaximal, complemented
19#36587C211yesmaximal, characteristic, complemented
20#36551C211yesmaximal, characteristic, complemented
21#36236C212yesmaximal, complemented
22#35362C214yesmaximal, complemented
23#35043C212yesmaximal, complemented
24#35006C211yesmaximal, characteristic, complemented
25#34788C212yesmaximal, complemented
26#34310C212yesmaximal, complemented
27#34273C212yesmaximal, complemented
28C2×#2357C211yesmaximal, characteristic, complemented
29C4×#539C211yesmaximal, characteristic, complemented
30C2×D42C2212yes—
31C2×#539C2211yescharacteristic
32C2×#539C2212yescomplemented
33C2×#534C2212yes—
34C2×#518C2214yescomplemented
35C22×C4×D4C2211yescharacteristic
36#2857C2211yescharacteristic, complemented
37#2856C2211yescharacteristic
38#2854C2212yescomplemented
39#2851C2212yescomplemented
40#2850C2212yescomplemented
41#2849C2214yescomplemented
42#2804C2212yescomplemented
43#2797C2214yescomplemented
44#2787C2214yescomplemented
45#2783C2214yescomplemented
46#2782C2214yescomplemented
47#2781C2214yescomplemented
48#2780C2214yescomplemented
49#2779C2214yescomplemented
50#2765C2214yescomplemented
51#2761C2214yescomplemented
52#2760C2214yescomplemented
53#2757C2214yescomplemented
54#2752C2214yescomplemented
55#2751C2214yescomplemented
56#2750C2214yescomplemented
57#2749C2214yescomplemented
58#2749C2214yescomplemented
59#2743C2214yescomplemented
60#2732C2212yescomplemented
61#2707C2214yescomplemented
62#2697C2214yescomplemented
63#2687C2214yescomplemented
64#2685C2214yescomplemented
65#2682C2212yes—
66#2679C2212yes—
67#2678C2214yes—
68#2643C2214yescomplemented
69#2639C2212yescomplemented
70#2626C2212yescomplemented
71#2618C2212yescomplemented
72#2617C2212yes—
73#2611C2214yescomplemented
74#2603C2214yescomplemented
75#2602C2214yescomplemented
76#2601C2214yescomplemented
77#2600C2214yescomplemented
78#2597C2214yescomplemented
79#2589C2214yescomplemented
80#2580C2212yescomplemented
81#2577C2214yescomplemented
82#2576C2214yescomplemented
83#2576C2214yescomplemented
84#2575C2214yescomplemented
85#2571C2211yescharacteristic, complemented
86#2570C2212yescomplemented
87#2566C2212yescomplemented
88#2566C2212yescomplemented
89#2563C2211yescharacteristic, complemented
90#2562C2214yescomplemented
91#2561C2214yescomplemented
92#2561C2214yescomplemented
93#2560C2214yescomplemented
94#2558C2214yescomplemented
95#2558C2214yescomplemented
96#2558C2214yescomplemented
97#2557C2214yescomplemented
98#2553C2214yescomplemented
99#2552C2211yescharacteristic, complemented
100#2548C2211yescharacteristic, complemented
101#2534C2214yescomplemented
102#2534C2214yescomplemented
103#2527C2214yescomplemented
104#2526C2214yescomplemented
105#2525C2214yescomplemented
106#2516C2214yescomplemented
107#2513C2212yescomplemented
108#2513C2212yescomplemented
109#2513C2212yescomplemented
110#2513C2212yescomplemented
111#2512C2212yescomplemented
112#2510C2214yescomplemented
113#2509C2212yescomplemented
114#2509C2212yescomplemented
115#2509C2212yescomplemented
116#2506C2212yescomplemented
117#2504C2212yescomplemented
118#2504C2212yescomplemented
119#2497C2212yescomplemented
120#2494C2212yescomplemented
121#2494C2212yescomplemented
122#2493C2214yescomplemented
123#2493C2214yescomplemented
124#2490C2212yescomplemented
125#2488C2214yescomplemented
126#2487C2212yescomplemented
127#2483C2214yescomplemented
128#2480C2214yescomplemented
129#2477C2214yescomplemented
130#2475C2214yescomplemented
131#2472C2214yescomplemented
132#2471C2214yescomplemented
133#2470C2214yescomplemented
134#2468C2214yescomplemented
135#2463C2214yescomplemented
136#2460C2214yescomplemented
137#2460C2214yescomplemented
138#2457C2214yescomplemented
139#2454C2212yescomplemented
140#2454C2212yescomplemented
141#2452C2212yescomplemented
142#2452C2212yescomplemented
143#2450C2214yescomplemented
144#2447C2212yescomplemented
145#2445C2212yes—
146#2445C2212yes—
147#2445C2212yes—
148#2445C2212yescomplemented
149#2444C2214yescomplemented
150#2444C2214yescomplemented
151#2444C2214yescomplemented
152#2444C2214yescomplemented
153#2442C2212yescomplemented
154#2442C2212yescomplemented
155#2437C2214yescomplemented
156#2433C2212yes—
157#2425C2214yescomplemented
158#2422C2212yes—
159#2420C2212yes—
160#2420C2212yes—
161#2420C2212yescomplemented
162#2419C2214yescomplemented
163#2419C2214yescomplemented
164#2418C2214yescomplemented
165#2418C2214yescomplemented
166#2418C2214yescomplemented
167#2416C2212yes—
168#2415C2214yescomplemented
169#2412C2214yescomplemented
170#2412C2214yescomplemented
171#2411C2214yescomplemented
172#2410C2214yes—
173#2408C2212yes—
174#2405C2214yescomplemented
175#2401C2214yescomplemented
176#2395C2214yescomplemented
177#2369C2211yescharacteristic, complemented
178#2366C2212yes—
179#2366C2211yescharacteristic, complemented
180#2363C2214yescomplemented
181#2361C2212yes—
182#2361C2212yescomplemented
183#2359C2214yescomplemented
184#2359C2214yescomplemented
185#2359C2214yescomplemented
186#2359C2214yescomplemented
187#2358C2214yescomplemented
188#2358C2214yescomplemented
189#2358C2214yescomplemented
190#2358C2214yescomplemented
191#2358C2214yescomplemented
192#2358C2214yescomplemented
193#2357C2214yescomplemented
194#2357C2214yescomplemented
195#2357C2212yescomplemented
196#2357C2212yescomplemented
197#2357C2212yescomplemented
198#2357C2212yescomplemented
199#2357C2212yescomplemented
200#2355C2211yescharacteristic, complemented
201#2354C2212yescomplemented
202#2349C2212yescomplemented
203#2349C2212yescomplemented
204D4×C4⋊C4C2212yescomplemented
205D4×C4⋊C4C2211yescharacteristic, complemented
206#2345C2212yescomplemented
207D4×C22⋊C4C2212yes—
208D4×C22⋊C4C2212yescomplemented
209D4×C22⋊C4C2214yescomplemented
210D4×C22⋊C4C2212yescomplemented
211D4×C22⋊C4C2212yescomplemented
212#2336C2212yescomplemented
213#2335C2212yescomplemented
214#2334C2212yescomplemented
215#2332C2212yescomplemented
216#2329C2211yescharacteristic, complemented
217#2325C2211yescharacteristic
218#2325C2214yescomplemented
219#2325C2212yescomplemented
220#2324C2214yescomplemented
221#2322C2212yescomplemented
222#2321C2214yescomplemented
223#2321C2214yescomplemented
224#2318C2212yescomplemented
225#2315C2212yescomplemented
226#2313C2211yescharacteristic, complemented
227C4×#127C2212yes—
228C4×#125C2212yescomplemented
229C4×#125C2212yescomplemented
230C4×#126C2212yescomplemented
231C4×C22⋊Q8C2211yescharacteristic, complemented
232C4×C22⋊Q8C2212yescomplemented
233C4×#123C2212yescomplemented
234C4×#123C2212yescomplemented
235C4×#121C2212yes—
236C4×#121C2211yescharacteristic
237C4×#121C2212yes—
238C4×#121C2212yescomplemented
239C4×#121C2214yescomplemented
240C4×#121C2212yescomplemented
241C4×#121C2212yescomplemented
242#2293C2212yescomplemented
243#2293C2212yescomplemented
244C2×#390C2211yescharacteristic
245C2×#390C2211yescharacteristic
246C2×#390C2212yescomplemented
247#2290C2214yescomplemented
248C2×#388C2212yescomplemented
249C2×#388C2212yescomplemented
250C2×#386C2214yescomplemented
251#2283C2212yescomplemented
252C2×#382C2211yescharacteristic, complemented
253C2×#381C2212yescomplemented
254C42×D4C2212yescomplemented
255C2×C4×C4⋊C4C2211yescharacteristic, complemented
256C2×C4×C4⋊C4C2211yescharacteristic, complemented
257C2×C4×C4⋊C4C2211yescharacteristic, complemented
258C2×C4×C22⋊C4C2212yescomplemented
259C23×D4C2314yes—
260C23×D4C2312yes—
261C23×D4C2311yescharacteristic
262C24×C4C2312yes—
263D42—216no—
264#539—28no—
265#539—48no—
266#534—216no—
267C2×C4⋊Q8C2311yescharacteristic
268C2×#127C2312yes—
269C2×#127C2311yescharacteristic
270C2×#126C2312yes—
271C2×#126C2314yes—
272C2×#125C2312yes—
273C2×#125C2312yes—
274C2×#125C2314yes—
275C2×#125C2312yes—
276C2×#124C2312yes—
277C2×#123C2312yes—
278C2×#123C2312yes—
279C2×#123C2314yes—
280C2×#123C2314yes—
281C2×#123C2314yes—
282C2×#123C2314yes—
283C2×#123C2314yes—
284C2×#123C2314yes—
285C2×C22⋊Q8C2311yescharacteristic
286C2×C22⋊Q8C2312yes—
287C2×C22⋊Q8C2314yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2314yes—
290C2×#121C2314yes—
291C2×#121C2312yes—
292C2×#121C2314yes—
293C2×#121C2312yes—
294C2×#121C2312yes—
295C2×#121C2312yes—
296C2×#121C2312yes—
297C2×#121C2311yescharacteristic
298C2×#120C2314yes—
299C2×#120C2314yes—
300C2×#120C2314yes—
301C2×#120C2314yes—
302C2×#120C2314yes—
303#518—416no—
304C2×C4×Q8C2311yescharacteristic
305C2×C4×D4—28no—
306C2×C4×D4C2312yes—
307C2×C4×D4C2314yes—
308C2×C4×D4C2312yes—
309C2×C4×D4C2312yes—
310C2×C4×D4C2312yes—
311C2×C4×D4C2312yes—
312C2×C4×D4C2312yes—
313C2×C4×D4C2314yes—
314C2×C4×D4C2312yes—
315C2×C4×D4C2312yes—
316C2×C4×D4C2314yes—
317C2×C4×D4C2314yes—
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2314yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2314yes—
322C2×C4×D4C2314yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2314yes—
325C2×C4×D4C2314yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2312yes—
328C2×C4×D4C2314yes—
329C2×#117C2314yes—
330C2×#117C2314yes—
331C2×#117C2314yes—
332C22×C4⋊C4C2311yescharacteristic
333C22×C4⋊C4C2311yescharacteristic
334C22×C4⋊C4C2311yescharacteristic
335C22×C4⋊C4C2312yes—
336C22×C4⋊C4C2311yescharacteristic
337C22×C4⋊C4C2311yescharacteristic
338C22×C22⋊C4C2312yes—
339C22×C22⋊C4C2312yes—
340C22×C22⋊C4C2312yes—
341C22×C22⋊C4C2314yes—
342C22×C22⋊C4C2314yes—
343C22×C22⋊C4C2314yes—
344C22×C22⋊C4C2314yes—
345C22×C22⋊C4C2312yes—
346C22×C22⋊C4C2314yes—
347C22×C22⋊C4C2314yes—
348C22×C22⋊C4C2312yes—
349C22×C42C2311yescharacteristic
350C22×C42C2311yescharacteristic
351C22×C42C2311yescharacteristic
352C22×C42C2312yes—
353C22×C42C2312yes—
354C22×C42C2312yes—
355#401C2314yes—
356#401C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#399C2314yes—
369#399C2314yes—
370#399C2314yes—
371#398C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#397C2314yes—
377#397C2314yes—
378#397C2314yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2314yes—
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#396C2314yes—
395#396C2314yes—
396#396C2314yes—
397#396C2314yes—
398#396C2314yes—
399#396C2314yes—
400#396C2314yes—
401#396C2314yes—
402#396C2314yes—
403#396C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#393C2314yes—
421#393C2314yes—
422#393C2314yes—
423#393C2314yes—
424#392C2314yes—
425#392C2314yes—
426#392C2314yes—
427#391C2312yes—
428#391C2312yes—
429#391C2311yescharacteristic
430#391C2314yes—
431#391C2312yes—
432#390C2312yes—
433#390C2314yes—
434#390C2312yes—
435#390C2314yes—
436#390C2312yes—
437#390C2312yes—
438#390C2312yes—
439#390C2312yes—
440#390C2312yes—
441#390C2312yes—
442#390C2314yes—
443#390C2314yes—
444#390C2314yes—
445#390C2312yes—
446#390C2311yescharacteristic
447#390C2312yes—
448#390C2312yes—
449#390C2312yes—
450#390C2312yes—
451#390C2312yes—
452#390C2312yes—
453#390C2312yes—
454#390C2314yes—
455#390C2312yes—
456#390C2312yes—
457#390C2312yes—
458#390C2312yes—
459#390C2314yes—
460#390C2312yes—
461#389C2312yes—
462#389C2312yes—
463#389C2312yes—
464#389C2312yes—
465#389C2312yes—
466#389C2312yes—
467#389C2312yes—
468#389C2312yes—
469#389C2314yes—
470#389C2312yes—
471#389C2312yes—
472#389C2311yescharacteristic
473#389C2311yescharacteristic
474#389C2312yes—
475#389C2312yes—
476#389C2312yes—
477#389C2312yes—
478#389C2312yes—
479#389C2314yes—
480#389C2312yes—
481#389C2314yes—
482#389C2312yes—
483#389C2312yes—
484#388C2312yes—
485#388C2312yes—
486#388C2312yes—
487#388C2314yes—
488#388C2314yes—
489#388C2314yes—
490#388C2312yes—
491#388C2312yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2312yes—
510#388C2312yes—
511#388C2314yes—
512#388C2312yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#387C2312yes—
527#387C2312yes—
528#387C2312yes—
529#387C2314yes—
530#387C2312yes—
531#387C2312yes—
532#387C2312yes—
533#387C2312yes—
534#387C2314yes—
535#387C2314yes—
536#387C2312yes—
537#387C2312yes—
538#387C2314yes—
539#387C2314yes—
540#387C2312yes—
541#387C2314yes—
542#387C2314yes—
543#387C2312yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2312yes—
548#387C2312yes—
549#387C2312yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#386C2314yes—
554#386C2312yes—
555#386C2312yes—
556#386C2314yes—
557#386C2314yes—
558#386C2314yes—
559#386C2314yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2314yes—
566#386C2312yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#385C2314yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2312yes—
594#385C2312yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#385C2314yes—
599#385C2312yes—
600#385C2312yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2312yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#384C2312yes—
614#384C2311yescharacteristic
615#384C2311yescharacteristic
616#383C2312yes—
617#383C2314yes—
618#382C2312yes—
619#382C2312yes—
620#382C2312yes—
621#382C2312yes—
622#382C2312yes—
623#382C2312yes—
624#382C2312yes—
625#382C2312yes—
626#382C2314yes—
627#381C2314yes—
628#381C2314yes—
629#381C2314yes—
630#381C2314yes—
631#381C2312yes—
632#381C2312yes—
633#381C2314yes—
634#381C2314yes—
635#381C2314yes—
636#381C2314yes—
637#381C2314yes—
638#380C2314yes—
639#380C2314yes—
640#380C2314yes—
641#380C2314yes—
642#380C2312yes—
643#380C2312yes—
644#380C2311yescharacteristic
645#380C2311yescharacteristic
646#380C2312yes—
647#380C2314yes—
648#380C2312yes—
649#380C2314yes—
650#380C2314yes—
651#380C2312yes—
652#380C2312yes—
653#380C2312yes—
654#379C2314yes—
655#379C2314yes—
656#379C2314yes—
657#379C2314yes—
658#379C2314yes—
659C4×C4⋊C4C2311yescharacteristic
660C4×C4⋊C4C2312yes—
661C4×C4⋊C4C2312yes—
662C4×C4⋊C4C2312yes—
663C4×C4⋊C4C2311yescharacteristic
664C4×C4⋊C4C2314yes—
665C4×C4⋊C4C2312yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2314yes—
672C4×C4⋊C4C2311yescharacteristic
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2311yescharacteristic
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2311yescharacteristic
683C4×C4⋊C4C2311yescharacteristic
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C22⋊C4C2312yes—
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708#376C2314yes—
709C2×#95C2311yescharacteristic
710C2×#95C2311yescharacteristic
711C2×#95C2312yes—
712C2×#95C2314yes—
713C2×#95C2314yes—
714C2×#95C2312yes—
715C2×#95C2312yes—
716C2×#95C2312yes—
717C43C2312yes—
718C25C2414yes—
719C25C2412yes—
720C22×Q8C2411yescharacteristic
721C22×Q8C2412yes—
722C22×D4—216no—
723C22×D4—216no—
724C22×D4—28no—
725C22×D4—42no—
726C22×D4—42no—
727C22×D4—44no—
728C22×D4—44no—
729C22×D4—48no—
730C22×D4#4118yes—
731C22×D4C2414yes—
732C22×D4C2412yes—
733C22×D4C2414yes—
734C22×D4C2414yes—
735C22×D4C2412yes—
736C22×D4C2412yes—
737C22×D4C2414yes—
738C22×D4C2414yes—
739C22×D4C2412yes—
740C22×D4C2414yes—
741C22×D4C2412yes—
742C22×D4C2411yescharacteristic
743C22×D4C2412yes—
744C23×C4—28no—
745C23×C4—82no—
746C23×C4—82no—
747C23×C4C2411yescharacteristic
748C23×C4C2412yes—
749C23×C4C2414yes—
750C23×C4C2411yescharacteristic
751C23×C4C2412yes—
752C23×C4C2411yescharacteristic
753C23×C4C2411yescharacteristic
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2412yes—
757C23×C4C2412yes—
758C23×C4C2414yes—
759C23×C4C2414yes—
760C23×C4C2414yes—
761C23×C4C2411yescharacteristic
762C23×C4C2414yes—
763C23×C4C2414yes—
764C23×C4C2414yes—
765C23×C4C2414yes—
766C23×C4C2411yescharacteristic
767C23×C4C2411yescharacteristic
768C4⋊Q8—42no—
769#127—28no—
770#127—42no—
771#126—28no—
772#126—48no—
773#125—28no—
774#125—44no—
775#125—48no—
776#125—82no—
777#124—82no—
778#123—28no—
779#123—28no—
780#123—216no—
781#123—216no—
782#123—48no—
783#123—48no—
784#123—84no—
785#123—84no—
786C22⋊Q8—24no—
787C22⋊Q8—28no—
788C22⋊Q8—44no—
789C22⋊Q8—48no—
790C22⋊Q8—84no—
791#121—216no—
792#121—28no—
793#121—216no—
794#121—28no—
795#121—28no—
796#121—44no—
797#121—44no—
798#121#4118yes—
799#120—216no—
800#120—216no—
801#120—216no—
802#120—216no—
803#120—84no—
804C4×Q8—42no—
805C4×D4—28no—
806C4×D4—28no—
807C4×D4—216no—
808C4×D4—28no—
809C4×D4—28no—
810C4×D4—28no—
811C4×D4—28no—
812C4×D4—216no—
813C4×D4—48no—
814C4×D4—48no—
815C4×D4—44no—
816C4×D4—44no—
817C4×D4—44no—
818C4×D4—44no—
819C4×D4—42no—
820C4×D4—48no—
821C4×D4—48no—
822C4×D4—48no—
823C4×D4—48no—
824C4×D4—82no—
825C4×D4—84no—
826C4×D4—82no—
827C4×D4—84no—
828#117—48no—
829#117—48no—
830#117—84no—
831C2×C4⋊C4—24no—
832C2×C4⋊C4—24no—
833C2×C4⋊C4—24no—
834C2×C4⋊C4—42no—
835C2×C4⋊C4—44no—
836C2×C4⋊C4—42no—
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2411yescharacteristic
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C22⋊C4—28no—
889C2×C22⋊C4—28no—
890C2×C22⋊C4—28no—
891C2×C22⋊C4—48no—
892C2×C22⋊C4—48no—
893C2×C22⋊C4—48no—
894C2×C22⋊C4—82no—
895C2×C22⋊C4—84no—
896C2×C22⋊C4—84no—
897C2×C22⋊C4—84no—
898C2×C22⋊C4—82no—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C42—24no—
956C2×C42—42no—
957C2×C42—44no—
958C2×C42—42no—
959C2×C42—82no—
960C2×C42—82no—
961C2×C42C2412yes—
962C2×C42C2414yes—
963C2×C42C2412yes—
964C2×C42C2412yes—
965C2×C42C2412yes—
966C2×C42C2412yes—
967C2×C42C2412yes—
968C2×C42C2412yes—
969C2×C42C2411yescharacteristic
970C2×C42C2412yes—
971C2×C42C2411yescharacteristic
972C2×C42C2412yes—
973C2×C42C2414yes—
974C2×C42C2414yes—
975C2×C42C2414yes—
976C2×C42C2412yes—
977C2×C42C2414yes—
978C2×C42C2412yes—
979C2×C42C2412yes—
980C2×C42C2412yes—
981C2×C42C2412yes—
982C2×C42C2412yes—
983C2×C42C2412yes—
984C2×C42C2412yes—
985C2×C42C2411yescharacteristic
986C2×C42C2411yescharacteristic
987#95C2412yes—
988#95C2412yes—
989#95C2412yes—
990#95C2412yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2412yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2414yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2414yes—
1045C24—24no—
1046C24—24no—
1047C24—28no—
1048C24—28no—
1049C24—42no—
1050C24—42no—
1051C24—42no—
1052C24—42no—
1053C24—44no—
1054C24—44no—
1055C24—44no—
1056C24—44no—
1057C24—44no—
1058C24C2×#4118yes—
1059C24C2514yes—
1060C24C2514yes—
1061C24C2512yes—
1062C24C2511yescharacteristic
1063C2×Q8—22no—
1064C2×Q8—41no—
1065C2×Q8—41no—
1066C2×Q8—42no—
1067C2×Q8—42no—
1068C2×Q8—42no—
1069C2×D4—24no—
1070C2×D4—24no—
1071C2×D4—28no—
1072C2×D4—28no—
1073C2×D4—28no—
1074C2×D4—28no—
1075C2×D4—28no—
1076C2×D4—28no—
1077C2×D4—28no—
1078C2×D4—28no—
1079C2×D4—28no—
1080C2×D4—28no—
1081C2×D4—24no—
1082C2×D4—24no—
1083C2×D4—24no—
1084C2×D4—24no—
1085C2×D4—24no—
1086C2×D4—24no—
1087C2×D4—416no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—42no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—42no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—464no—
1106C2×D4—816no—
1107C2×D4C2×#4118yes—
1108C2×D4C2×#4118yes—
1109C2×D4C2×#4118yes—
1110C2×D4C2×#4114yes—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—24no—
1116C22×C4—22no—
1117C22×C4—28no—
1118C22×C4—22no—
1119C22×C4—24no—
1120C22×C4—22no—
1121C22×C4—28no—
1122C22×C4—28no—
1123C22×C4—24no—
1124C22×C4—24no—
1125C22×C4—22no—
1126C22×C4—24no—
1127C22×C4—28no—
1128C22×C4—24no—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—28no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—44no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—42no—
1142C22×C4—41no—
1143C22×C4—42no—
1144C22×C4—41no—
1145C22×C4—42no—
1146C22×C4—42no—
1147C22×C4—41no—
1148C22×C4—42no—
1149C22×C4—41no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—42no—
1153C22×C4—42no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—42no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—816no—
1172C22×C4C2×#4114yes—
1173C22×C4C2×#4114yes—
1174C22×C4H(5,𝔽2)14yes—
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2514yes—
1183C22×C4C2514yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2511yescharacteristic
1190C22×C4C2514yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2514yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C4⋊C4—24no—
1201C4⋊C4—22no—
1202C4⋊C4—22no—
1203C4⋊C4—24no—
1204C4⋊C4—24no—
1205C4⋊C4—24no—
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—28no—
1209C4⋊C4—24no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—22no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—28no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—42no—
1224C4⋊C4—42no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—44no—
1233C4⋊C4—42no—
1234C4⋊C4—44no—
1235C4⋊C4—41no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—44no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—41no—
1249C4⋊C4—42no—
1250C4⋊C4C2×#4114yes—
1251C22⋊C4—28no—
1252C22⋊C4—28no—
1253C22⋊C4—28no—
1254C22⋊C4—24no—
1255C22⋊C4—24no—
1256C22⋊C4—24no—
1257C22⋊C4—28no—
1258C22⋊C4—28no—
1259C22⋊C4—24no—
1260C22⋊C4—24no—
1261C22⋊C4—24no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—28no—
1265C22⋊C4—24no—
1266C22⋊C4—28no—
1267C22⋊C4—28no—
1268C22⋊C4—28no—
1269C22⋊C4—28no—
1270C22⋊C4—28no—
1271C22⋊C4—24no—
1272C22⋊C4—28no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
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—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—42no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—42no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4C2×#4118yes—
1307C42—24no—
1308C42—24no—
1309C42—24no—
1310C42—24no—
1311C42—24no—
1312C42—28no—
1313C42—24no—
1314C42—24no—
1315C42—22no—
1316C42—22no—
1317C42—24no—
1318C42—42no—
1319C42—42no—
1320C42—41no—
1321C42—41no—
1322C42—42no—
1323C42—44no—
1324C42—44no—
1325C42—42no—
1326C42—42no—
1327C42—42no—
1328C42—42no—
1329C42—44no—
1330C42—44no—
1331C42—42no—
1332C42—42no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—24no—
1338C23—22no—
1339C23—24no—
1340C23—22no—
1341C23—22no—
1342C23—24no—
1343C23—24no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—24no—
1348C23—24no—
1349C23—216no—
1350C23—24no—
1351C23—24no—
1352C23—24no—
1353C23—24no—
1354C23—24no—
1355C23—24no—
1356C23—24no—
1357C23—48no—
1358C23—48no—
1359C23—416no—
1360C23—84no—
1361C23—84no—
1362C23—84no—
1363C23—84no—
1364C23—88no—
1365C23—88no—
1366C23—88no—
1367C23—88no—
1368C23—164no—
1369C23—164no—
1370C23C22×#4114yes—
1371C23C22×#4118yes—
1372C23C22×#4112yes—
1373C23C22×#4112yes—
1374C23C2×H(5,𝔽2)12yes—
1375C23C2611yescharacteristic
1376Q8—82no—
1377Q8—162no—
1378D4—216no—
1379D4—216no—
1380D4—48no—
1381D4—44no—
1382D4—416no—
1383D4—416no—
1384D4—416no—
1385D4—48no—
1386D4—84no—
1387D4—88no—
1388D4—88no—
1389D4—88no—
1390D4—162no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—22no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—28no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—24no—
1408C2×C4—22no—
1409C2×C4—24no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—24no—
1415C2×C4—24no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
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—21no—
1453C2×C4—24no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—44no—
1460C2×C4—44no—
1461C2×C4—416no—
1462C2×C4—48no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—48no—
1466C2×C4—84no—
1467C2×C4—88no—
1468C2×C4—82no—
1469C2×C4—84no—
1470C2×C4—84no—
1471C2×C4—82no—
1472C2×C4—84no—
1473C2×C4—88no—
1474C2×C4—88no—
1475C2×C4—164no—
1476C2×C4—164no—
1477C2×C4—164no—
1478C2×C4—164no—
1479C2×C4C22×#4112yes—
1480C2×C4C22×#4114yes—
1481C2×C4C22×#4112yes—
1482C2×C4C22×#4112yes—
1483C2×C4C22×#4112yes—
1484C2×C4C2×H(5,𝔽2)14yes—
1485C2×C4#58512yes—
1486C2×C4#58512yes—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—24no—
1494C22—24no—
1495C22—28no—
1496C22—28no—
1497C22—28no—
1498C22—24no—
1499C22—44no—
1500C22—44no—
1501C22—42no—
1502C22—42no—
1503C22—42no—
1504C22—44no—
1505C22—42no—
1506C22—44no—
1507C22—44no—
1508C22—44no—
1509C22—44no—
1510C22—44no—
1511C22—44no—
1512C22—44no—
1513C22—44no—
1514C22—816no—
1515C22—1616no—
1516C22#348114yes—
1517C22C23×#4111yescharacteristic
1518C22C23×#4111yescharacteristic
1519C22C22×H(5,𝔽2)11yescharacteristic
1520C22C2×#58511yescharacteristic
1521C22C2×#58511yescharacteristic
1522C22H(7,𝔽2)11yescharacteristic
1523C22H(7,𝔽2)11yescharacteristic
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—24no—
1528C4—24no—
1529C4—42no—
1530C4—42no—
1531C4—42no—
1532C4—44no—
1533C4—42no—
1534C4—42no—
1535C4—42no—
1536C4—42no—
1537C4—42no—
1538C4—42no—
1539C4—44no—
1540C4—41no—
1541C4—41no—
1542C4—42no—
1543C4—42no—
1544C4—44no—
1545C4—42no—
1546C4—42no—
1547C4—44no—
1548C4#349114yes—
1549C2—24no—
1550C2—48no—
1551C2—44no—
1552C2—84no—
1553C2C2×#348111yescharacteristic
1554C2C2×#349111yescharacteristic
1555C2#6284611yescharacteristic
1556C2#6290511yescharacteristic
1557C2#6296111yescharacteristic
1558C2#6299211yescharacteristic
1559C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39358C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59764C2semidirect
2. #59637C2semidirect
3. #59507C2semidirect
4. #59480C2semidirect
5. #59446C2semidirect
6. #59378C2semidirect
7. #59260C2semidirect
8. #59208C2semidirect
9. #44644C2semidirect
10. #44586C2semidirect
11. #43795C2semidirect
12. #43782C2semidirect
13. #39550C2semidirect
14. #39495C2semidirect
15. #39414C2semidirect
17. #39145C2semidirect
18. #38053C2semidirect
19. #36587C2semidirect
20. #36551C2semidirect
21. #36236C2semidirect
22. #35362C2semidirect
23. #35043C2semidirect
24. #35006C2semidirect
25. #34788C2semidirect
26. #34310C2semidirect
27. #34273C2semidirect
28. C2×#2357C2semidirect
29. C4×#539C2semidirect
32. C2×#539C22semidirect
34. C2×#518C22semidirect
36. #2857C22semidirect
38. #2854C22semidirect
39. #2851C22semidirect
40. #2850C22semidirect
41. #2849C22semidirect
42. #2804C22semidirect
43. #2797C22semidirect
44. #2787C22semidirect
45. #2783C22semidirect
46. #2782C22semidirect
47. #2781C22semidirect
48. #2780C22semidirect
49. #2779C22semidirect
50. #2765C22semidirect
51. #2761C22semidirect
52. #2760C22semidirect
53. #2757C22semidirect
54. #2752C22semidirect
55. #2751C22semidirect
56. #2750C22semidirect
57. #2749C22semidirect
58. #2749C22semidirect
59. #2743C22semidirect
60. #2732C22semidirect
61. #2707C22semidirect
62. #2697C22semidirect
63. #2687C22semidirect
64. #2685C22semidirect
68. #2643C22semidirect
69. #2639C22semidirect
70. #2626C22semidirect
71. #2618C22semidirect
73. #2611C22semidirect
74. #2603C22semidirect
75. #2602C22semidirect
76. #2601C22semidirect
77. #2600C22semidirect
78. #2597C22semidirect
79. #2589C22semidirect
80. #2580C22semidirect
81. #2577C22semidirect
82. #2576C22semidirect
83. #2576C22semidirect
84. #2575C22semidirect
85. #2571C22semidirect
86. #2570C22semidirect
87. #2566C22semidirect
88. #2566C22semidirect
89. #2563C22semidirect
90. #2562C22semidirect
91. #2561C22semidirect
92. #2561C22semidirect
93. #2560C22semidirect
94. #2558C22semidirect
95. #2558C22semidirect
96. #2558C22semidirect
97. #2557C22semidirect
98. #2553C22semidirect
99. #2552C22semidirect
100. #2548C22semidirect
101. #2534C22semidirect
102. #2534C22semidirect
103. #2527C22semidirect
104. #2526C22semidirect
105. #2525C22semidirect
106. #2516C22semidirect
107. #2513C22semidirect
108. #2513C22semidirect
109. #2513C22semidirect
110. #2513C22semidirect
111. #2512C22semidirect
112. #2510C22semidirect
113. #2509C22semidirect
114. #2509C22semidirect
115. #2509C22semidirect
116. #2506C22semidirect
117. #2504C22semidirect
118. #2504C22semidirect
119. #2497C22semidirect
120. #2494C22semidirect
121. #2494C22semidirect
122. #2493C22semidirect
123. #2493C22semidirect
124. #2490C22semidirect
125. #2488C22semidirect
126. #2487C22semidirect
127. #2483C22semidirect
128. #2480C22semidirect
129. #2477C22semidirect
130. #2475C22semidirect
131. #2472C22semidirect
132. #2471C22semidirect
133. #2470C22semidirect
134. #2468C22semidirect
135. #2463C22semidirect
136. #2460C22semidirect
137. #2460C22semidirect
138. #2457C22semidirect
139. #2454C22semidirect
140. #2454C22semidirect
141. #2452C22semidirect
142. #2452C22semidirect
143. #2450C22semidirect
144. #2447C22semidirect
148. #2445C22semidirect
149. #2444C22semidirect
150. #2444C22semidirect
151. #2444C22semidirect
152. #2444C22semidirect
153. #2442C22semidirect
154. #2442C22semidirect
155. #2437C22semidirect
157. #2425C22semidirect
161. #2420C22semidirect
162. #2419C22semidirect
163. #2419C22semidirect
164. #2418C22semidirect
165. #2418C22semidirect
166. #2418C22semidirect
168. #2415C22semidirect
169. #2412C22semidirect
170. #2412C22semidirect
171. #2411C22semidirect
174. #2405C22semidirect
175. #2401C22semidirect
176. #2395C22semidirect
177. #2369C22semidirect
179. #2366C22semidirect
180. #2363C22semidirect
182. #2361C22semidirect
183. #2359C22semidirect
184. #2359C22semidirect
185. #2359C22semidirect
186. #2359C22semidirect
187. #2358C22semidirect
188. #2358C22semidirect
189. #2358C22semidirect
190. #2358C22semidirect
191. #2358C22semidirect
192. #2358C22semidirect
193. #2357C22semidirect
194. #2357C22semidirect
195. #2357C22semidirect
196. #2357C22semidirect
197. #2357C22semidirect
198. #2357C22semidirect
199. #2357C22semidirect
200. #2355C22semidirect
201. #2354C22semidirect
202. #2349C22semidirect
203. #2349C22semidirect
204. D4×C4⋊C4C22semidirect
205. D4×C4⋊C4C22semidirect
206. #2345C22semidirect
208. D4×C22⋊C4C22semidirect
209. D4×C22⋊C4C22semidirect
210. D4×C22⋊C4C22semidirect
211. D4×C22⋊C4C22semidirect
212. #2336C22semidirect
213. #2335C22semidirect
214. #2334C22semidirect
215. #2332C22semidirect
216. #2329C22semidirect
218. #2325C22semidirect
219. #2325C22semidirect
220. #2324C22semidirect
221. #2322C22semidirect
222. #2321C22semidirect
223. #2321C22semidirect
224. #2318C22semidirect
225. #2315C22semidirect
226. #2313C22semidirect
228. C4×#125C22semidirect
229. C4×#125C22semidirect
230. C4×#126C22semidirect
231. C4×C22⋊Q8C22semidirect
232. C4×C22⋊Q8C22semidirect
233. C4×#123C22semidirect
234. C4×#123C22semidirect
238. C4×#121C22semidirect
239. C4×#121C22semidirect
240. C4×#121C22semidirect
241. C4×#121C22semidirect
242. #2293C22semidirect
243. #2293C22semidirect
246. C2×#390C22semidirect
247. #2290C22semidirect
248. C2×#388C22semidirect
249. C2×#388C22semidirect
250. C2×#386C22semidirect
251. #2283C22semidirect
252. C2×#382C22semidirect
253. C2×#381C22semidirect
254. C42×D4C22semidirect
255. C2×C4×C4⋊C4C22semidirect
256. C2×C4×C4⋊C4C22semidirect
257. C2×C4×C4⋊C4C22semidirect
258. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#597642
#596372
#595072
#594802
#594462
#593782
#592602
#592082
#446442
#445862
#437952
#437822
#395502
#394952
#394142
#393582
#391452
#380532
#365872
#365512
#362362
#353622
#350432
#350062
#347882
#343102
#342732
C2×#23572
C4×#5392