Finite Group Databasebeta

← #7632809

Subgroups — #7632809

Order 512.

5290 conjugacy classes of subgroups.

The subgroup lattice has 1737 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36587C212yesmaximal, complemented
2#36487C212yesmaximal, complemented
3#36420C212yesmaximal, complemented
4#36322C214yesmaximal, complemented
5#36302C212yesmaximal, complemented
6#36296C214yesmaximal, complemented
7#36037C212yesmaximal, complemented
8#35877C214yesmaximal, complemented
9#35874C214yesmaximal, complemented
10#35838C212yesmaximal, complemented
11#35813C212yesmaximal, complemented
12#35785C212yesmaximal, complemented
13#35651C212yesmaximal, complemented
14#35618C211yesmaximal, characteristic, complemented
15#35586C212yesmaximal, complemented
16#35559C212yesmaximal, complemented
17#35556C211yesmaximal, characteristic, complemented
18#35546C212yesmaximal, complemented
19#35543C211yesmaximal, characteristic, complemented
20#35531C211yesmaximal, characteristic, complemented
21#35256C211yesmaximal, characteristic
22#35194C212yesmaximal, complemented
23#35193C212yesmaximal, complemented
24#35160C211yesmaximal, characteristic, complemented
25#34970C212yesmaximal, complemented
26#34915C212yesmaximal, complemented
27C2×#2513C211yesmaximal, characteristic, complemented
28#34745C211yesmaximal, characteristic, complemented
29#34275C211yesmaximal, characteristic, complemented
30#34269C211yesmaximal, characteristic, complemented
31#34267C211yesmaximal, characteristic, complemented
32#34255C211yesmaximal, characteristic, complemented
33#34215C211yesmaximal, characteristic, complemented
34#34121C211yesmaximal, characteristic, complemented
35C4×#520C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#518C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2865C2214yescomplemented
46#2861C2214yescomplemented
47#2856C2212yes—
48#2853C2214yescomplemented
49#2852C2214yes—
50#2850C2212yes—
51#2850C2214yescomplemented
52#2653C2214yescomplemented
53#2651C2214yescomplemented
54#2650C2214yescomplemented
55#2648C2214yescomplemented
56#2643C2214yes—
57#2620C2212yes—
58#2619C2212yes—
59#2597C2214yescomplemented
60#2597C2214yescomplemented
61#2596C2214yescomplemented
62#2596C2214yescomplemented
63#2595C2214yescomplemented
64#2595C2214yescomplemented
65#2594C2214yescomplemented
66#2593C2214yescomplemented
67#2592C2212yes—
68#2592C2212yes—
69#2589C2214yescomplemented
70#2578C2214yescomplemented
71#2576C2214yescomplemented
72#2575C2214yescomplemented
73#2574C2214yescomplemented
74#2572C2214yescomplemented
75#2571C2212yescomplemented
76#2570C2212yescomplemented
77#2570C2212yescomplemented
78#2557C2214yescomplemented
79#2554C2214yescomplemented
80#2552C2212yescomplemented
81#2548C2212yes—
82#2548C2212yes—
83#2532C2214yescomplemented
84#2531C2214yescomplemented
85#2531C2214yescomplemented
86#2531C2214yescomplemented
87#2530C2214yescomplemented
88#2526C2214yescomplemented
89#2525C2214yescomplemented
90#2525C2214yescomplemented
91#2521C2214yescomplemented
92#2518C2214yescomplemented
93#2516C2214yescomplemented
94#2516C2214yescomplemented
95#2515C2214yescomplemented
96#2514C2212yescomplemented
97#2513C2212yes—
98#2513C2212yes—
99#2513C2212yes—
100#2513C2212yes—
101#2513C2212yes—
102#2513C2212yes—
103#2513C2212yes—
104#2513C2212yes—
105#2513C2214yescomplemented
106#2513C2212yescomplemented
107#2512C2212yescomplemented
108#2511C2212yescomplemented
109#2509C2212yescomplemented
110#2508C2212yescomplemented
111#2507C2212yescomplemented
112#2506C2212yescomplemented
113#2505C2214yes—
114#2504C2212yes—
115#2504C2212yescomplemented
116#2503C2212yescomplemented
117#2501C2212yes—
118#2500C2212yes—
119#2500C2212yes—
120#2500C2212yescomplemented
121#2499C2212yescomplemented
122#2497C2212yescomplemented
123#2496C2212yescomplemented
124#2495C2212yescomplemented
125#2494C2212yescomplemented
126#2491C2212yes—
127#2491C2212yes—
128#2490C2212yes—
129#2490C2212yes—
130#2490C2214yescomplemented
131#2488C2214yescomplemented
132#2477C2214yescomplemented
133#2476C2214yescomplemented
134#2476C2214yescomplemented
135#2475C2214yescomplemented
136#2474C2214yescomplemented
137#2473C2214yes—
138#2472C2214yes—
139#2472C2214yes—
140#2471C2214yescomplemented
141#2468C2214yescomplemented
142#2467C2214yescomplemented
143#2460C2214yescomplemented
144#2459C2214yescomplemented
145#2457C2214yescomplemented
146#2454C2211yescharacteristic, complemented
147#2454C2211yescharacteristic, complemented
148#2453C2211yescharacteristic, complemented
149#2453C2211yescharacteristic, complemented
150#2452C2211yescharacteristic, complemented
151#2452C2211yescharacteristic, complemented
152#2451C2211yescharacteristic, complemented
153#2451C2211yescharacteristic, complemented
154#2450C2212yes—
155#2450C2212yes—
156#2449C2212yes—
157#2449C2212yes—
158#2448C2212yes—
159#2448C2212yes—
160#2447C2214yescomplemented
161#2445C2212yes—
162#2445C2212yes—
163#2444C2214yes—
164#2444C2214yes—
165#2444C2214yescomplemented
166#2444C2214yescomplemented
167#2428C2212yes—
168#2428C2212yes—
169#2427C2214yescomplemented
170#2426C2212yes—
171#2426C2212yes—
172#2424C2214yes—
173#2424C2214yes—
174#2421C2212yescomplemented
175#2421C2212yescomplemented
176#2420C2212yescomplemented
177#2420C2212yescomplemented
178#2419C2214yescomplemented
179#2418C2214yes—
180#2418C2214yes—
181#2401C2214yescomplemented
182#2396C2212yescomplemented
183#2396C2212yescomplemented
184#2395C2214yescomplemented
185#2395C2214yescomplemented
186#2392C2214yescomplemented
187C2×#397C2212yes—
188C2×#397C2212yes—
189#2368C2214yes—
190#2368C2214yes—
191#2367C2212yes—
192#2367C2212yes—
193#2366C2212yes—
194#2366C2212yes—
195#2364C2214yes—
196#2363C2212yes—
197#2363C2212yes—
198#2363C2212yescomplemented
199#2362C2212yescomplemented
200#2361C2214yes—
201#2361C2212yes—
202#2361C2212yes—
203#2361C2212yescomplemented
204#2360C2212yescomplemented
205#2358C2214yes—
206#2358C2214yes—
207#2358C2214yes—
208#2358C2214yes—
209#2357C2212yes—
210#2357C2212yes—
211#2357C2211yescharacteristic, complemented
212#2357C2211yescharacteristic, complemented
213#2356C2211yescharacteristic, complemented
214#2356C2211yescharacteristic, complemented
215#2355C2212yescomplemented
216#2355C2211yescharacteristic, complemented
217#2355C2211yescharacteristic, complemented
218#2355C2212yescomplemented
219#2355C2212yescomplemented
220#2355C2212yescomplemented
221#2354C2212yes—
222#2354C2212yes—
223#2354C2211yescharacteristic, complemented
224#2354C2211yescharacteristic, complemented
225#2353C2212yes—
226#2353C2212yes—
227#2352C2212yes—
228#2352C2212yes—
229#2342C2214yes—
230#2342C2214yes—
231#2331C2212yescomplemented
232#2331C2212yescomplemented
233#2328C2212yes—
234#2326C2212yes—
235#2324C2212yes—
236#2324C2212yes—
237#2324C2212yescomplemented
238#2323C2212yescomplemented
239#2319C2212yes—
240#2319C2212yes—
241#2317C2211yescharacteristic
242#2317C2211yescharacteristic
243#2317C2211yescharacteristic
244#2317C2211yescharacteristic
245#2311C2211yescharacteristic
246#2311C2211yescharacteristic
247#2309C2211yescharacteristic
248C4×#127C2212yes—
249C4×#125C2212yescomplemented
250C4×#125C2212yescomplemented
251C4×#124C2212yes—
252C4×C22⋊Q8C2212yescomplemented
253C4×C22⋊Q8C2212yescomplemented
254C4×C22⋊Q8C2212yescomplemented
255C4×#123C2214yescomplemented
256C4×#121C2212yes—
257C4×#121C2212yes—
258C4×#121C2212yescomplemented
259C4×#121C2214yescomplemented
260#2298C2212yescomplemented
261#2298C2214yescomplemented
262#2298C2212yescomplemented
263#2297C2211yescharacteristic
264#2297C2211yescharacteristic
265#2297C2211yescharacteristic
266#2297C2211yescharacteristic
267#2296C2211yescharacteristic
268#2296C2211yescharacteristic
269#2293C2212yes—
270#2293C2212yes—
271#2293C2214yescomplemented
272C2×#390C2211yescharacteristic
273C2×#390C2211yescharacteristic
274C2×#390C2211yescharacteristic
275C2×#389C2211yescharacteristic
276C2×#388C2212yes—
277C2×#388C2212yes—
278#2285C2211yescharacteristic
279#2283C2212yescomplemented
280C2×#382C2211yescharacteristic
281#2276C2212yescomplemented
282#2275C2214yes—
283#2275C2212yescomplemented
284#2274C2211yescharacteristic
285#2274C2211yescharacteristic
286#2274C2211yescharacteristic
287#2274C2212yescomplemented
288#2274C2212yescomplemented
289C42×Q8C2212yescomplemented
290C42×D4C2214yes—
291C42×D4C2212yescomplemented
292C4×#117C2211yescharacteristic
293C4×#117C2211yescharacteristic
294C4×#117C2212yescomplemented
295C4×#117C2212yescomplemented
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yescomplemented
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302#537—28no—
303#535—28no—
304#535—28no—
305#533—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2312yes—
309C2×#127C2312yes—
310C2×#126C2314yes—
311C2×#125C2311yescharacteristic
312C2×#125C2311yescharacteristic
313C2×#125C2314yes—
314C2×#124C2312yes—
315C2×#124C2312yes—
316C2×#124C2314yes—
317C2×#124C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337#520—28no—
338#520—28no—
339#518—28no—
340C4×#41—28no—
341C4×#41—28no—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2314yes—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2314yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2314yes—
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2312yes—
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2312yes—
399C22×C22⋊C4C2312yes—
400C22×C42C2312yes—
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2312yes—
404C22×C42C2311yescharacteristic
405C22×C42C2314yes—
406C22×C42C2312yes—
407#401C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#399C2314yes—
420#399C2314yes—
421#399C2312yes—
422#399C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#396C2312yes—
456#396C2312yes—
457#395C2312yes—
458#395C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#393C2312yes—
474#393C2314yes—
475#393C2314yes—
476#393C2312yes—
477#392C2314yes—
478#392C2314yes—
479#391C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2314yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2314yes—
497#390C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2314yes—
509#390C2311yescharacteristic
510#390C2314yes—
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2314yes—
517#390C2314yes—
518#390C2311yescharacteristic
519#390C2314yes—
520#390C2312yes—
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2314yes—
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2314yes—
659#386C2312yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2314yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#384C2312yes—
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2311yescharacteristic
687#383C2312yes—
688#383C2314yes—
689#383C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2311yescharacteristic
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2314yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#381C2312yes—
707#381C2312yes—
708#381C2314yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#379C2314yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809C2×#95C2311yescharacteristic
810C2×#95C2311yescharacteristic
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2314yes—
816C43C2312yes—
817C43C2314yes—
818C43C2312yes—
819C25C2412yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41#4118yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×D4—24no—
831C22×D4—24no—
832C22×D4—24no—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C4⋊Q8—24no—
865C4⋊Q8—24no—
866#127—28no—
867#127—28no—
868#126—84no—
869#125—24no—
870#125—24no—
871#125—84no—
872#124—28no—
873#124—28no—
874#124—84no—
875#124—84no—
876#123—48no—
877#123—84no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884#121—28no—
885#121—216no—
886#121—28no—
887#121—28no—
888#121—28no—
889#121—28no—
890#121—28no—
891#121—48no—
892#121—84no—
893#120—216no—
894#120—216no—
895C4×Q8—28no—
896C4×Q8—24no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—28no—
901C4×Q8—28no—
902C4×Q8—28no—
903C4×D4—216no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—216no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—48no—
920C4×D4—84no—
921C4×D4—84no—
922C4×D4—84no—
923C4×D4—84no—
924#117—24no—
925#117—28no—
926#117—24no—
927#117—24no—
928#117—24no—
929#117—28no—
930#117—28no—
931#117—28no—
932#117—48no—
933#117—44no—
934#117—44no—
935#117—84no—
936#117#4118yes—
937#117#4118yes—
938C2×C4⋊C4—28no—
939C2×C4⋊C4—24no—
940C2×C4⋊C4—24no—
941C2×C4⋊C4—24no—
942C2×C4⋊C4—28no—
943C2×C4⋊C4—42no—
944C2×C4⋊C4—42no—
945C2×C4⋊C4—82no—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C22⋊C4—216no—
1008C2×C22⋊C4—44no—
1009C2×C22⋊C4—44no—
1010C2×C22⋊C4—82no—
1011C2×C22⋊C4—82no—
1012C2×C22⋊C4—82no—
1013C2×C22⋊C4—82no—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C42—24no—
1071C2×C42—24no—
1072C2×C42—24no—
1073C2×C42—28no—
1074C2×C42—28no—
1075C2×C42—84no—
1076C2×C42—82no—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2414yes—
1129#95C2414yes—
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187C24—24no—
1188C24—24no—
1189C24—24no—
1190C24—42no—
1191C24—42no—
1192C24—42no—
1193C24—42no—
1194C24C2514yes—
1195C24C2512yes—
1196C24C2512yes—
1197C24C2511yescharacteristic
1198#41—232no—
1199#41—416no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8C2×#4114yes—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—28no—
1218C2×D4—28no—
1219C2×D4—28no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—28no—
1232C2×D4—28no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—416no—
1244C2×D4C2×#4118yes—
1245C2×D4C2×#4114yes—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—28no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—28no—
1270C22×C4—28no—
1271C22×C4—28no—
1272C22×C4—42no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—42no—
1297C22×C4—44no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—44no—
1302C22×C4C2×#4118yes—
1303C22×C4C2×#4114yes—
1304C22×C4C2×#4114yes—
1305C22×C4C2×#4114yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2514yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2514yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—28no—
1341C4⋊C4—28no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—28no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—41no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
1374C4⋊C4—41no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4C2×#4114yes—
1395C4⋊C4C2×#4114yes—
1396C4⋊C4C2×#4114yes—
1397C4⋊C4C2×#4114yes—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4C2×#4118yes—
1453C22⋊C4C2×#4118yes—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—24no—
1459C42—22no—
1460C42—22no—
1461C42—24no—
1462C42—24no—
1463C42—22no—
1464C42—22no—
1465C42—24no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—24no—
1471C42—28no—
1472C42—28no—
1473C42—24no—
1474C42—24no—
1475C42—24no—
1476C42—24no—
1477C42—42no—
1478C42—44no—
1479C42—44no—
1480C42—44no—
1481C42—44no—
1482C42—44no—
1483C42—42no—
1484C42—42no—
1485C42—42no—
1486C42—42no—
1487C42—44no—
1488C42—44no—
1489C42—42no—
1490C42—42no—
1491C42—44no—
1492C42C2×#4118yes—
1493C42C2×#4118yes—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—24no—
1506C23—22no—
1507C23—24no—
1508C23—24no—
1509C23—22no—
1510C23—24no—
1511C23—24no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—24no—
1516C23—24no—
1517C23—22no—
1518C23—48no—
1519C23—84no—
1520C23—84no—
1521C23—84no—
1522C23—84no—
1523C23—84no—
1524C23—84no—
1525C23C22×#4114yes—
1526C23C22×#4112yes—
1527C23C22×#4112yes—
1528C23C22×#4112yes—
1529C23C2611yescharacteristic
1530Q8—28no—
1531Q8—44no—
1532Q8—84no—
1533Q8—84no—
1534D4—216no—
1535D4—28no—
1536D4—48no—
1537D4—48no—
1538D4—48no—
1539D4—44no—
1540D4—88no—
1541D4—88no—
1542D4—88no—
1543D4—88no—
1544D4—88no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—216no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—48no—
1627C2×C4—48no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—48no—
1631C2×C4—84no—
1632C2×C4—88no—
1633C2×C4—88no—
1634C2×C4—88no—
1635C2×C4—84no—
1636C2×C4—82no—
1637C2×C4—82no—
1638C2×C4—82no—
1639C2×C4—84no—
1640C2×C4—88no—
1641C2×C4—84no—
1642C2×C4—82no—
1643C2×C4—84no—
1644C2×C4#529116yes—
1645C2×C4C22×#4114yes—
1646C2×C4C22×#4114yes—
1647C2×C4C22×#4114yes—
1648C2×C4C22×#4114yes—
1649C2×C4C22×#4114yes—
1650C2×C4C22×#4112yes—
1651C2×C4C22×#4112yes—
1652C2×C4C22×#4112yes—
1653C2×C4C22×#4112yes—
1654C2×C4C22×#4112yes—
1655C2×C4C22×#4112yes—
1656C2×C4#58512yes—
1657C2×C4#58512yes—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—24no—
1665C22—24no—
1666C22—24no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—44no—
1673C22—42no—
1674C22—44no—
1675C22—42no—
1676C22—44no—
1677C22—44no—
1678C22—42no—
1679C22—42no—
1680C22—44no—
1681C22—42no—
1682C22—44no—
1683C22—42no—
1684C22—44no—
1685C22—168no—
1686C22C2×#52914yes—
1687C22C23×#4111yescharacteristic
1688C22C23×#4111yescharacteristic
1689C22C23×#4111yescharacteristic
1690C22C2×#58511yescharacteristic
1691C22C2×#58511yescharacteristic
1692C22H(7,𝔽2)11yescharacteristic
1693C22H(7,𝔽2)11yescharacteristic
1694C4—24no—
1695C4—22no—
1696C4—24no—
1697C4—22no—
1698C4—24no—
1699C4—24no—
1700C4—24no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—42no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—42no—
1710C4—42no—
1711C4—44no—
1712C4—42no—
1713C4—44no—
1714C4—42no—
1715C4—42no—
1716C4—41no—
1717C4—42no—
1718C4—41no—
1719C4—42no—
1720C4—44no—
1721C4—41no—
1722C4—42no—
1723C4C2×#52914yes—
1724C4C2×#52914yes—
1725C2—24no—
1726C2—44no—
1727C2—82no—
1728C2—84no—
1729C2C22×#52911yescharacteristic
1730C2#6281011yescharacteristic
1731C2#6285811yescharacteristic
1732C2#6299411yescharacteristic
1733C2#6300811yescharacteristic
1734C2#6301011yescharacteristic
1735C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35256C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36587C2semidirect
2. #36487C2semidirect
3. #36420C2semidirect
4. #36322C2semidirect
5. #36302C2semidirect
6. #36296C2semidirect
7. #36037C2semidirect
8. #35877C2semidirect
9. #35874C2semidirect
10. #35838C2semidirect
11. #35813C2semidirect
12. #35785C2semidirect
13. #35651C2semidirect
14. #35618C2semidirect
15. #35586C2semidirect
16. #35559C2semidirect
17. #35556C2semidirect
18. #35546C2semidirect
19. #35543C2semidirect
20. #35531C2semidirect
22. #35194C2semidirect
23. #35193C2semidirect
24. #35160C2semidirect
25. #34970C2semidirect
26. #34915C2semidirect
27. C2×#2513C2semidirect
28. #34745C2semidirect
29. #34275C2semidirect
30. #34269C2semidirect
31. #34267C2semidirect
32. #34255C2semidirect
33. #34215C2semidirect
34. #34121C2semidirect
35. C4×#520C2semidirect
45. #2865C22semidirect
46. #2861C22semidirect
48. #2853C22semidirect
51. #2850C22semidirect
52. #2653C22semidirect
53. #2651C22semidirect
54. #2650C22semidirect
55. #2648C22semidirect
59. #2597C22semidirect
60. #2597C22semidirect
61. #2596C22semidirect
62. #2596C22semidirect
63. #2595C22semidirect
64. #2595C22semidirect
65. #2594C22semidirect
66. #2593C22semidirect
69. #2589C22semidirect
70. #2578C22semidirect
71. #2576C22semidirect
72. #2575C22semidirect
73. #2574C22semidirect
74. #2572C22semidirect
75. #2571C22semidirect
76. #2570C22semidirect
77. #2570C22semidirect
78. #2557C22semidirect
79. #2554C22semidirect
80. #2552C22semidirect
83. #2532C22semidirect
84. #2531C22semidirect
85. #2531C22semidirect
86. #2531C22semidirect
87. #2530C22semidirect
88. #2526C22semidirect
89. #2525C22semidirect
90. #2525C22semidirect
91. #2521C22semidirect
92. #2518C22semidirect
93. #2516C22semidirect
94. #2516C22semidirect
95. #2515C22semidirect
96. #2514C22semidirect
105. #2513C22semidirect
106. #2513C22semidirect
107. #2512C22semidirect
108. #2511C22semidirect
109. #2509C22semidirect
110. #2508C22semidirect
111. #2507C22semidirect
112. #2506C22semidirect
115. #2504C22semidirect
116. #2503C22semidirect
120. #2500C22semidirect
121. #2499C22semidirect
122. #2497C22semidirect
123. #2496C22semidirect
124. #2495C22semidirect
125. #2494C22semidirect
130. #2490C22semidirect
131. #2488C22semidirect
132. #2477C22semidirect
133. #2476C22semidirect
134. #2476C22semidirect
135. #2475C22semidirect
136. #2474C22semidirect
140. #2471C22semidirect
141. #2468C22semidirect
142. #2467C22semidirect
143. #2460C22semidirect
144. #2459C22semidirect
145. #2457C22semidirect
146. #2454C22semidirect
147. #2454C22semidirect
148. #2453C22semidirect
149. #2453C22semidirect
150. #2452C22semidirect
151. #2452C22semidirect
152. #2451C22semidirect
153. #2451C22semidirect
160. #2447C22semidirect
165. #2444C22semidirect
166. #2444C22semidirect
169. #2427C22semidirect
174. #2421C22semidirect
175. #2421C22semidirect
176. #2420C22semidirect
177. #2420C22semidirect
178. #2419C22semidirect
181. #2401C22semidirect
182. #2396C22semidirect
183. #2396C22semidirect
184. #2395C22semidirect
185. #2395C22semidirect
186. #2392C22semidirect
198. #2363C22semidirect
199. #2362C22semidirect
203. #2361C22semidirect
204. #2360C22semidirect
211. #2357C22semidirect
212. #2357C22semidirect
213. #2356C22semidirect
214. #2356C22semidirect
215. #2355C22semidirect
216. #2355C22semidirect
217. #2355C22semidirect
218. #2355C22semidirect
219. #2355C22semidirect
220. #2355C22semidirect
223. #2354C22semidirect
224. #2354C22semidirect
231. #2331C22semidirect
232. #2331C22semidirect
237. #2324C22semidirect
238. #2323C22semidirect
249. C4×#125C22semidirect
250. C4×#125C22semidirect
252. C4×C22⋊Q8C22semidirect
253. C4×C22⋊Q8C22semidirect
254. C4×C22⋊Q8C22semidirect
255. C4×#123C22semidirect
258. C4×#121C22semidirect
259. C4×#121C22semidirect
260. #2298C22semidirect
261. #2298C22semidirect
262. #2298C22semidirect
271. #2293C22semidirect
279. #2283C22semidirect
281. #2276C22semidirect
283. #2275C22semidirect
287. #2274C22semidirect
288. #2274C22semidirect
289. C42×Q8C22semidirect
291. C42×D4C22semidirect
294. C4×#117C22semidirect
295. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#365872
#364872
#364202
#363222
#363022
#362962
#360372
#358772
#358742
#358382
#358132
#357852
#356512
#356182
#355862
#355592
#355562
#355462
#355432
#355312
#352562
#351942
#351932
#351602
#349702
#349152
C2×#25132
#347452
#342752
#342692
#342672
#342552
#342152
#341212
C4×#5202